From a2e942033607a9d764aa5d64154001b364d7b5ff Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Mon, 14 Sep 2020 14:58:44 +0200 Subject: [PATCH 001/103] boundary conditions to not change during iteration --- src/grid/DAMASK_grid.f90 | 90 ++++++++++---------- src/grid/grid_mech_FEM.f90 | 21 +++-- src/grid/grid_mech_spectral_basic.f90 | 21 ++--- src/grid/grid_mech_spectral_polarisation.f90 | 21 ++--- 4 files changed, 73 insertions(+), 80 deletions(-) diff --git a/src/grid/DAMASK_grid.f90 b/src/grid/DAMASK_grid.f90 index 0e30025d8..08f2e3f88 100644 --- a/src/grid/DAMASK_grid.f90 +++ b/src/grid/DAMASK_grid.f90 @@ -23,7 +23,7 @@ program DAMASK_grid use grid_damage_spectral use grid_thermal_spectral use results - + implicit none !-------------------------------------------------------------------------------------------------- @@ -87,7 +87,7 @@ program DAMASK_grid mech_updateCoords procedure(grid_mech_spectral_basic_restartWrite), pointer :: & mech_restartWrite - + external :: & quit class (tNode), pointer :: & @@ -96,10 +96,10 @@ program DAMASK_grid !-------------------------------------------------------------------------------------------------- ! init DAMASK (all modules) - - call CPFEM_initAll + + call CPFEM_initAll write(6,'(/,a)') ' <<<+- DAMASK_spectral init -+>>>'; flush(6) - + write(6,'(/,a)') ' Shanthraj et al., Handbook of Mechanics of Materials, 2019' write(6,'(a)') ' https://doi.org/10.1007/978-981-10-6855-3_80' @@ -122,16 +122,16 @@ program DAMASK_grid !-------------------------------------------------------------------------------------------------- ! assign mechanics solver depending on selected type - + debug_grid => debug_root%get('grid',defaultVal=emptyList) - select case (trim(num_grid%get_asString('solver', defaultVal = 'Basic'))) + select case (trim(num_grid%get_asString('solver', defaultVal = 'Basic'))) case ('Basic') mech_init => grid_mech_spectral_basic_init mech_forward => grid_mech_spectral_basic_forward mech_solution => grid_mech_spectral_basic_solution mech_updateCoords => grid_mech_spectral_basic_updateCoords mech_restartWrite => grid_mech_spectral_basic_restartWrite - + case ('Polarisation') if(debug_grid%contains('basic')) & call IO_warning(42, ext_msg='debug Divergence') @@ -140,7 +140,7 @@ program DAMASK_grid mech_solution => grid_mech_spectral_polarisation_solution mech_updateCoords => grid_mech_spectral_polarisation_updateCoords mech_restartWrite => grid_mech_spectral_polarisation_restartWrite - + case ('FEM') if(debug_grid%contains('basic')) & call IO_warning(42, ext_msg='debug Divergence') @@ -149,24 +149,24 @@ program DAMASK_grid mech_solution => grid_mech_FEM_solution mech_updateCoords => grid_mech_FEM_updateCoords mech_restartWrite => grid_mech_FEM_restartWrite - + case default call IO_error(error_ID = 891, ext_msg = trim(num_grid%get_asString('solver'))) - + end select - + !-------------------------------------------------------------------------------------------------- -! reading information from load case file and to sanity checks +! reading information from load case file and to sanity checks fileContent = IO_readlines(trim(loadCaseFile)) if(size(fileContent) == 0) call IO_error(307,ext_msg='No load case specified') - + allocate (loadCases(0)) ! array of load cases do currentLoadCase = 1, size(fileContent) line = fileContent(currentLoadCase) if (IO_isBlank(line)) cycle chunkPos = IO_stringPos(line) - + do i = 1, chunkPos(1) ! reading compulsory parameters for loadcase select case (IO_lc(IO_stringValue(line,chunkPos,i))) case('l','fdot','dotf','f') @@ -179,7 +179,7 @@ program DAMASK_grid enddo if ((N_def /= N_n) .or. (N_n /= N_t) .or. N_n < 1) & ! sanity check call IO_error(error_ID=837,el=currentLoadCase,ext_msg = trim(loadCaseFile)) ! error message for incomplete loadcase - + newLoadCase%stress%myType='stress' field = 1 newLoadCase%ID(field) = FIELD_MECH_ID ! mechanical active by default @@ -191,7 +191,7 @@ program DAMASK_grid field = field + 1 newLoadCase%ID(field) = FIELD_DAMAGE_ID endif damageActive - + call newLoadCase%rot%fromEulers(real([0.0,0.0,0.0],pReal)) readIn: do i = 1, chunkPos(1) select case (IO_lc(IO_stringValue(line,chunkPos,i))) @@ -257,9 +257,9 @@ program DAMASK_grid call newLoadCase%rot%fromMatrix(math_9to33(temp_valueVector)) end select enddo readIn - + newLoadCase%followFormerTrajectory = merge(.true.,.false.,currentLoadCase > 1) ! by default, guess from previous load case - + reportAndCheck: if (worldrank == 0) then write (loadcase_string, '(i0)' ) currentLoadCase write(6,'(/,1x,a,i0)') 'load case: ', currentLoadCase @@ -324,13 +324,13 @@ program DAMASK_grid select case (loadCases(1)%ID(field)) case(FIELD_MECH_ID) call mech_init - + case(FIELD_THERMAL_ID) call grid_thermal_spectral_init - + case(FIELD_DAMAGE_ID) call grid_damage_spectral_init - + end select enddo @@ -348,16 +348,16 @@ program DAMASK_grid '.sta',form='FORMATTED', position='APPEND', status='OLD') endif writeHeader endif - + writeUndeformed: if (interface_restartInc < 1) then write(6,'(1/,a)') ' ... writing initial configuration to file ........................' call CPFEM_results(0,0.0_pReal) endif writeUndeformed - + loadCaseLooping: do currentLoadCase = 1, size(loadCases) time0 = time ! load case start time guess = loadCases(currentLoadCase)%followFormerTrajectory ! change of load case? homogeneous guess for the first inc - + incLooping: do inc = 1, loadCases(currentLoadCase)%incs totalIncsCounter = totalIncsCounter + 1 @@ -382,13 +382,13 @@ program DAMASK_grid endif endif timeinc = timeinc * real(subStepFactor,pReal)**real(-cutBackLevel,pReal) ! depending on cut back level, decrease time step - + skipping: if (totalIncsCounter <= interface_restartInc) then ! not yet at restart inc? time = time + timeinc ! just advance time, skip already performed calculation guess = .true. ! QUESTION:why forced guessing instead of inheriting loadcase preference else skipping stepFraction = 0 ! fraction scaled by stepFactor**cutLevel - + subStepLooping: do while (stepFraction < subStepFactor**cutBackLevel) remainingLoadCaseTime = loadCases(currentLoadCase)%time+time0 - time time = time + timeinc ! forward target time @@ -417,7 +417,7 @@ program DAMASK_grid deformation_BC = loadCases(currentLoadCase)%deformation, & stress_BC = loadCases(currentLoadCase)%stress, & rotation_BC = loadCases(currentLoadCase)%rot) - + case(FIELD_THERMAL_ID); call grid_thermal_spectral_forward(cutBack) case(FIELD_DAMAGE_ID); call grid_damage_spectral_forward(cutBack) end select @@ -432,21 +432,21 @@ program DAMASK_grid do field = 1, nActiveFields select case(loadCases(currentLoadCase)%ID(field)) case(FIELD_MECH_ID) - solres(field) = mech_solution (& - incInfo,timeinc,timeIncOld, & + solres(field) = mech_solution(& + incInfo, & stress_BC = loadCases(currentLoadCase)%stress, & rotation_BC = loadCases(currentLoadCase)%rot) - + case(FIELD_THERMAL_ID) solres(field) = grid_thermal_spectral_solution(timeinc,timeIncOld) - + case(FIELD_DAMAGE_ID) solres(field) = grid_damage_spectral_solution(timeinc,timeIncOld) - + end select - + if (.not. solres(field)%converged) exit ! no solution found - + enddo stagIter = stagIter + 1 stagIterate = stagIter < stagItMax & @@ -480,17 +480,17 @@ program DAMASK_grid if (worldrank == 0) close(statUnit) call quit(0) ! quit endif - + enddo subStepLooping - + cutBackLevel = max(0, cutBackLevel - 1) ! try half number of subincs next inc - + if (all(solres(:)%converged)) then write(6,'(/,a,i0,a)') ' increment ', totalIncsCounter, ' converged' else write(6,'(/,a,i0,a)') ' increment ', totalIncsCounter, ' NOT converged' endif; flush(6) - + if (mod(inc,loadCases(currentLoadCase)%outputFrequency) == 0) then ! at output frequency write(6,'(1/,a)') ' ... writing results to file ......................................' flush(6) @@ -501,17 +501,17 @@ program DAMASK_grid call CPFEM_restartWrite endif endif skipping - + enddo incLooping - + enddo loadCaseLooping - - + + !-------------------------------------------------------------------------------------------------- ! report summary of whole calculation write(6,'(/,a)') ' ###########################################################################' if (worldrank == 0) close(statUnit) - + call quit(0) ! no complains ;) - + end program DAMASK_grid diff --git a/src/grid/grid_mech_FEM.f90 b/src/grid/grid_mech_FEM.f90 index e8e1345ef..f89e4fec9 100644 --- a/src/grid/grid_mech_FEM.f90 +++ b/src/grid/grid_mech_FEM.f90 @@ -268,15 +268,12 @@ end subroutine grid_mech_FEM_init !-------------------------------------------------------------------------------------------------- !> @brief solution for the FEM scheme with internal iterations !-------------------------------------------------------------------------------------------------- -function grid_mech_FEM_solution(incInfoIn,timeinc,timeinc_old,stress_BC,rotation_BC) result(solution) +function grid_mech_FEM_solution(incInfoIn,stress_BC,rotation_BC) result(solution) !-------------------------------------------------------------------------------------------------- ! input data for solution character(len=*), intent(in) :: & incInfoIn - real(pReal), intent(in) :: & - timeinc, & !< time increment of current solution - timeinc_old !< time increment of last successful increment type(tBoundaryCondition), intent(in) :: & stress_BC type(rotation), intent(in) :: & @@ -293,13 +290,6 @@ function grid_mech_FEM_solution(incInfoIn,timeinc,timeinc_old,stress_BC,rotation !-------------------------------------------------------------------------------------------------- ! update stiffness (and gamma operator) S = utilities_maskedCompliance(rotation_BC,stress_BC%maskLogical,C_volAvg) -!-------------------------------------------------------------------------------------------------- -! set module wide available data - params%stress_mask = stress_BC%maskFloat - params%stress_BC = stress_BC%values - params%rotation_BC = rotation_BC - params%timeinc = timeinc - params%timeincOld = timeinc_old !-------------------------------------------------------------------------------------------------- ! solve BVP @@ -341,6 +331,15 @@ subroutine grid_mech_FEM_forward(cutBack,guess,timeinc,timeinc_old,loadCaseTime, PetscScalar, pointer, dimension(:,:,:,:) :: & u_current,u_lastInc +!-------------------------------------------------------------------------------------------------- +! set module wide available data + params%stress_mask = stress_BC%maskFloat + params%stress_BC = stress_BC%values + params%rotation_BC = rotation_BC + params%timeinc = timeinc + params%timeincOld = timeinc_old + + call DMDAVecGetArrayF90(mech_grid,solution_current,u_current,ierr); CHKERRQ(ierr) call DMDAVecGetArrayF90(mech_grid,solution_lastInc,u_lastInc,ierr); CHKERRQ(ierr) diff --git a/src/grid/grid_mech_spectral_basic.f90 b/src/grid/grid_mech_spectral_basic.f90 index 66694e516..2b5e55e45 100644 --- a/src/grid/grid_mech_spectral_basic.f90 +++ b/src/grid/grid_mech_spectral_basic.f90 @@ -232,15 +232,12 @@ end subroutine grid_mech_spectral_basic_init !-------------------------------------------------------------------------------------------------- !> @brief solution for the basic scheme with internal iterations !-------------------------------------------------------------------------------------------------- -function grid_mech_spectral_basic_solution(incInfoIn,timeinc,timeinc_old,stress_BC,rotation_BC) result(solution) +function grid_mech_spectral_basic_solution(incInfoIn,stress_BC,rotation_BC) result(solution) !-------------------------------------------------------------------------------------------------- ! input data for solution character(len=*), intent(in) :: & incInfoIn - real(pReal), intent(in) :: & - timeinc, & !< time increment of current solution - timeinc_old !< time increment of last successful increment type(tBoundaryCondition), intent(in) :: & stress_BC type(rotation), intent(in) :: & @@ -259,14 +256,6 @@ function grid_mech_spectral_basic_solution(incInfoIn,timeinc,timeinc_old,stress_ S = utilities_maskedCompliance(rotation_BC,stress_BC%maskLogical,C_volAvg) if(num%update_gamma) call utilities_updateGamma(C_minMaxAvg) -!-------------------------------------------------------------------------------------------------- -! set module wide available data - params%stress_mask = stress_BC%maskFloat - params%stress_BC = stress_BC%values - params%rotation_BC = rotation_BC - params%timeinc = timeinc - params%timeincOld = timeinc_old - !-------------------------------------------------------------------------------------------------- ! solve BVP call SNESsolve(snes,PETSC_NULL_VEC,solution_vec,ierr); CHKERRQ(ierr) @@ -306,6 +295,14 @@ subroutine grid_mech_spectral_basic_forward(cutBack,guess,timeinc,timeinc_old,lo PetscErrorCode :: ierr PetscScalar, dimension(:,:,:,:), pointer :: F +!-------------------------------------------------------------------------------------------------- +! set module wide available data + params%stress_mask = stress_BC%maskFloat + params%stress_BC = stress_BC%values + params%rotation_BC = rotation_BC + params%timeinc = timeinc + params%timeincOld = timeinc_old + call DMDAVecGetArrayF90(da,solution_vec,F,ierr); CHKERRQ(ierr) if (cutBack) then diff --git a/src/grid/grid_mech_spectral_polarisation.f90 b/src/grid/grid_mech_spectral_polarisation.f90 index f6d1b9ebb..0cd40545d 100644 --- a/src/grid/grid_mech_spectral_polarisation.f90 +++ b/src/grid/grid_mech_spectral_polarisation.f90 @@ -259,15 +259,12 @@ end subroutine grid_mech_spectral_polarisation_init !-------------------------------------------------------------------------------------------------- !> @brief solution for the Polarisation scheme with internal iterations !-------------------------------------------------------------------------------------------------- -function grid_mech_spectral_polarisation_solution(incInfoIn,timeinc,timeinc_old,stress_BC,rotation_BC) result(solution) +function grid_mech_spectral_polarisation_solution(incInfoIn,stress_BC,rotation_BC) result(solution) !-------------------------------------------------------------------------------------------------- ! input data for solution character(len=*), intent(in) :: & incInfoIn - real(pReal), intent(in) :: & - timeinc, & !< time increment of current solution - timeinc_old !< time increment of last successful increment type(tBoundaryCondition), intent(in) :: & stress_BC type(rotation), intent(in) :: & @@ -290,14 +287,6 @@ function grid_mech_spectral_polarisation_solution(incInfoIn,timeinc,timeinc_old, S_scale = math_invSym3333(C_minMaxAvg) endif -!-------------------------------------------------------------------------------------------------- -! set module wide available data - params%stress_mask = stress_BC%maskFloat - params%stress_BC = stress_BC%values - params%rotation_BC = rotation_BC - params%timeinc = timeinc - params%timeincOld = timeinc_old - !-------------------------------------------------------------------------------------------------- ! solve BVP call SNESsolve(snes,PETSC_NULL_VEC,solution_vec,ierr); CHKERRQ(ierr) @@ -339,6 +328,14 @@ subroutine grid_mech_spectral_polarisation_forward(cutBack,guess,timeinc,timeinc integer :: i, j, k real(pReal), dimension(3,3) :: F_lambda33 +!-------------------------------------------------------------------------------------------------- +! set module wide available data + params%stress_mask = stress_BC%maskFloat + params%stress_BC = stress_BC%values + params%rotation_BC = rotation_BC + params%timeinc = timeinc + params%timeincOld = timeinc_old + call DMDAVecGetArrayF90(da,solution_vec,FandF_tau,ierr); CHKERRQ(ierr) F => FandF_tau(0: 8,:,:,:) F_tau => FandF_tau(9:17,:,:,:) From 053c3f39ea1e0bd014baa20c93cf70934e7b1fd0 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Sat, 19 Sep 2020 23:40:17 +0200 Subject: [PATCH 002/103] solution completely relies on state defined by 'forward' --- src/grid/DAMASK_grid.f90 | 8 +------- src/grid/grid_mech_FEM.f90 | 8 ++------ src/grid/grid_mech_spectral_basic.f90 | 8 ++------ src/grid/grid_mech_spectral_polarisation.f90 | 8 ++------ 4 files changed, 7 insertions(+), 25 deletions(-) diff --git a/src/grid/DAMASK_grid.f90 b/src/grid/DAMASK_grid.f90 index 878ed868b..7bc737ecd 100644 --- a/src/grid/DAMASK_grid.f90 +++ b/src/grid/DAMASK_grid.f90 @@ -433,17 +433,11 @@ program DAMASK_grid do field = 1, nActiveFields select case(loadCases(currentLoadCase)%ID(field)) case(FIELD_MECH_ID) - solres(field) = mech_solution (& - incInfo, & - stress_BC = loadCases(currentLoadCase)%stress, & - rotation_BC = loadCases(currentLoadCase)%rot) - + solres(field) = mech_solution(incInfo) case(FIELD_THERMAL_ID) solres(field) = grid_thermal_spectral_solution(timeinc,timeIncOld) - case(FIELD_DAMAGE_ID) solres(field) = grid_damage_spectral_solution(timeinc,timeIncOld) - end select if (.not. solres(field)%converged) exit ! no solution found diff --git a/src/grid/grid_mech_FEM.f90 b/src/grid/grid_mech_FEM.f90 index 749c1b43e..18f66e9c0 100644 --- a/src/grid/grid_mech_FEM.f90 +++ b/src/grid/grid_mech_FEM.f90 @@ -269,16 +269,12 @@ end subroutine grid_mech_FEM_init !-------------------------------------------------------------------------------------------------- !> @brief solution for the FEM scheme with internal iterations !-------------------------------------------------------------------------------------------------- -function grid_mech_FEM_solution(incInfoIn,stress_BC,rotation_BC) result(solution) +function grid_mech_FEM_solution(incInfoIn) result(solution) !-------------------------------------------------------------------------------------------------- ! input data for solution character(len=*), intent(in) :: & incInfoIn - type(tBoundaryCondition), intent(in) :: & - stress_BC - type(rotation), intent(in) :: & - rotation_BC type(tSolutionState) :: & solution !-------------------------------------------------------------------------------------------------- @@ -290,7 +286,7 @@ function grid_mech_FEM_solution(incInfoIn,stress_BC,rotation_BC) result(solution !-------------------------------------------------------------------------------------------------- ! update stiffness (and gamma operator) - S = utilities_maskedCompliance(rotation_BC,stress_BC%maskLogical,C_volAvg) + S = utilities_maskedCompliance(params%rotation_BC,params%stress_mask>.5_pReal,C_volAvg) !-------------------------------------------------------------------------------------------------- ! solve BVP diff --git a/src/grid/grid_mech_spectral_basic.f90 b/src/grid/grid_mech_spectral_basic.f90 index 33ee1ff97..3b814ee44 100644 --- a/src/grid/grid_mech_spectral_basic.f90 +++ b/src/grid/grid_mech_spectral_basic.f90 @@ -233,16 +233,12 @@ end subroutine grid_mech_spectral_basic_init !-------------------------------------------------------------------------------------------------- !> @brief solution for the basic scheme with internal iterations !-------------------------------------------------------------------------------------------------- -function grid_mech_spectral_basic_solution(incInfoIn,stress_BC,rotation_BC) result(solution) +function grid_mech_spectral_basic_solution(incInfoIn) result(solution) !-------------------------------------------------------------------------------------------------- ! input data for solution character(len=*), intent(in) :: & incInfoIn - type(tBoundaryCondition), intent(in) :: & - stress_BC - type(rotation), intent(in) :: & - rotation_BC type(tSolutionState) :: & solution !-------------------------------------------------------------------------------------------------- @@ -254,7 +250,7 @@ function grid_mech_spectral_basic_solution(incInfoIn,stress_BC,rotation_BC) resu !-------------------------------------------------------------------------------------------------- ! update stiffness (and gamma operator) - S = utilities_maskedCompliance(rotation_BC,stress_BC%maskLogical,C_volAvg) + S = utilities_maskedCompliance(params%rotation_BC,params%stress_mask>.5_pReal,C_volAvg) if(num%update_gamma) call utilities_updateGamma(C_minMaxAvg) !-------------------------------------------------------------------------------------------------- diff --git a/src/grid/grid_mech_spectral_polarisation.f90 b/src/grid/grid_mech_spectral_polarisation.f90 index 5470cf0b3..3c02d62c0 100644 --- a/src/grid/grid_mech_spectral_polarisation.f90 +++ b/src/grid/grid_mech_spectral_polarisation.f90 @@ -260,16 +260,12 @@ end subroutine grid_mech_spectral_polarisation_init !-------------------------------------------------------------------------------------------------- !> @brief solution for the Polarisation scheme with internal iterations !-------------------------------------------------------------------------------------------------- -function grid_mech_spectral_polarisation_solution(incInfoIn,stress_BC,rotation_BC) result(solution) +function grid_mech_spectral_polarisation_solution(incInfoIn) result(solution) !-------------------------------------------------------------------------------------------------- ! input data for solution character(len=*), intent(in) :: & incInfoIn - type(tBoundaryCondition), intent(in) :: & - stress_BC - type(rotation), intent(in) :: & - rotation_BC type(tSolutionState) :: & solution !-------------------------------------------------------------------------------------------------- @@ -281,7 +277,7 @@ function grid_mech_spectral_polarisation_solution(incInfoIn,stress_BC,rotation_B !-------------------------------------------------------------------------------------------------- ! update stiffness (and gamma operator) - S = utilities_maskedCompliance(rotation_BC,stress_BC%maskLogical,C_volAvg) + S = utilities_maskedCompliance(params%rotation_BC,params%stress_mask>.5_pReal,C_volAvg) if (num%update_gamma) then call utilities_updateGamma(C_minMaxAvg) C_scale = C_minMaxAvg From 8dfb972ac11e4392e2f07090402e339e6903c994 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Sun, 20 Sep 2020 11:49:20 +0200 Subject: [PATCH 003/103] private is already default (module wide) --- src/grid/grid_mech_FEM.f90 | 36 ++++++++++---------- src/grid/grid_mech_spectral_basic.f90 | 6 ++-- src/grid/grid_mech_spectral_polarisation.f90 | 2 +- src/grid/spectral_utilities.f90 | 16 ++++----- 4 files changed, 30 insertions(+), 30 deletions(-) diff --git a/src/grid/grid_mech_FEM.f90 b/src/grid/grid_mech_FEM.f90 index 4e181cf09..57afecb20 100644 --- a/src/grid/grid_mech_FEM.f90 +++ b/src/grid/grid_mech_FEM.f90 @@ -27,9 +27,9 @@ module grid_mech_FEM !-------------------------------------------------------------------------------------------------- ! derived types - type(tSolutionParams), private :: params + type(tSolutionParams) :: params - type, private :: tNumerics + type :: tNumerics integer :: & itmin, & !< minimum number of iterations itmax !< maximum number of iterations @@ -43,45 +43,45 @@ module grid_mech_FEM eps_stress_rtol !< relative tolerance for fullfillment of stress BC end type tNumerics - type(tNumerics), private :: num - logical, private:: & + type(tNumerics) :: num + logical :: & debugRotation !-------------------------------------------------------------------------------------------------- ! PETSc data - DM, private :: mech_grid - SNES, private :: mech_snes - Vec, private :: solution_current, solution_lastInc, solution_rate + DM :: mech_grid + SNES :: mech_snes + Vec :: solution_current, solution_lastInc, solution_rate !-------------------------------------------------------------------------------------------------- ! common pointwise data - real(pReal), private, dimension(:,:,:,:,:), allocatable :: F, P_current, F_lastInc - real(pReal), private :: detJ - real(pReal), private, dimension(3) :: delta - real(pReal), private, dimension(3,8) :: BMat - real(pReal), private, dimension(8,8) :: HGMat - PetscInt, private :: xstart,ystart,zstart,xend,yend,zend + real(pReal), dimension(:,:,:,:,:), allocatable :: F, P_current, F_lastInc + real(pReal) :: detJ + real(pReal), dimension(3) :: delta + real(pReal), dimension(3,8) :: BMat + real(pReal), dimension(8,8) :: HGMat + PetscInt :: xstart,ystart,zstart,xend,yend,zend !-------------------------------------------------------------------------------------------------- ! stress, stiffness and compliance average etc. - real(pReal), private, dimension(3,3) :: & + real(pReal), dimension(3,3) :: & F_aimDot = 0.0_pReal, & !< assumed rate of average deformation gradient F_aim = math_I3, & !< current prescribed deformation gradient F_aim_lastIter = math_I3, & F_aim_lastInc = math_I3, & !< previous average deformation gradient P_av = 0.0_pReal !< average 1st Piola--Kirchhoff stress - character(len=:), allocatable, private :: incInfo !< time and increment information + character(len=:), allocatable :: incInfo !< time and increment information - real(pReal), private, dimension(3,3,3,3) :: & + real(pReal), dimension(3,3,3,3) :: & C_volAvg = 0.0_pReal, & !< current volume average stiffness C_volAvgLastInc = 0.0_pReal, & !< previous volume average stiffness S = 0.0_pReal !< current compliance (filled up with zeros) - real(pReal), private :: & + real(pReal) :: & err_BC !< deviation from stress BC - integer, private :: & + integer :: & totalIter = 0 !< total iteration in current increment public :: & diff --git a/src/grid/grid_mech_spectral_basic.f90 b/src/grid/grid_mech_spectral_basic.f90 index 133b8f3ed..8ec6172b4 100644 --- a/src/grid/grid_mech_spectral_basic.f90 +++ b/src/grid/grid_mech_spectral_basic.f90 @@ -28,7 +28,7 @@ module grid_mech_spectral_basic ! derived types type(tSolutionParams) :: params - type, private :: tNumerics + type :: tNumerics logical :: update_gamma !< update gamma operator with current stiffness integer :: & itmin, & !< minimum number of iterations @@ -42,7 +42,7 @@ module grid_mech_spectral_basic type(tNumerics) :: num ! numerics parameters. Better name? - logical, private :: debugRotation + logical :: debugRotation !-------------------------------------------------------------------------------------------------- ! PETSc data @@ -65,7 +65,7 @@ module grid_mech_spectral_basic P_av = 0.0_pReal !< average 1st Piola--Kirchhoff stress character(len=:), allocatable :: incInfo !< time and increment information - real(pReal), private, dimension(3,3,3,3) :: & + real(pReal), dimension(3,3,3,3) :: & C_volAvg = 0.0_pReal, & !< current volume average stiffness C_volAvgLastInc = 0.0_pReal, & !< previous volume average stiffness C_minMaxAvg = 0.0_pReal, & !< current (min+max)/2 stiffness diff --git a/src/grid/grid_mech_spectral_polarisation.f90 b/src/grid/grid_mech_spectral_polarisation.f90 index 475f278a4..c61f71b27 100644 --- a/src/grid/grid_mech_spectral_polarisation.f90 +++ b/src/grid/grid_mech_spectral_polarisation.f90 @@ -48,7 +48,7 @@ module grid_mech_spectral_polarisation type(tNumerics) :: num ! numerics parameters. Better name? - logical, private :: debugRotation + logical :: debugRotation !-------------------------------------------------------------------------------------------------- ! PETSc data diff --git a/src/grid/spectral_utilities.f90 b/src/grid/spectral_utilities.f90 index 5e53fe2a5..52df30c39 100644 --- a/src/grid/spectral_utilities.f90 +++ b/src/grid/spectral_utilities.f90 @@ -47,15 +47,15 @@ module spectral_utilities complex(C_DOUBLE_COMPLEX),public, dimension(:,:,:,:), pointer :: vectorField_fourier !< vector field fourier representation for fftw real(C_DOUBLE), public, dimension(:,:,:), pointer :: scalarField_real !< scalar field real representation for fftw complex(C_DOUBLE_COMPLEX),public, dimension(:,:,:), pointer :: scalarField_fourier !< scalar field fourier representation for fftw - complex(pReal), private, dimension(:,:,:,:,:,:,:), allocatable :: gamma_hat !< gamma operator (field) for spectral method - complex(pReal), private, dimension(:,:,:,:), allocatable :: xi1st !< wave vector field for first derivatives - complex(pReal), private, dimension(:,:,:,:), allocatable :: xi2nd !< wave vector field for second derivatives - real(pReal), private, dimension(3,3,3,3) :: C_ref !< mechanic reference stiffness + complex(pReal), dimension(:,:,:,:,:,:,:), allocatable :: gamma_hat !< gamma operator (field) for spectral method + complex(pReal), dimension(:,:,:,:), allocatable :: xi1st !< wave vector field for first derivatives + complex(pReal), dimension(:,:,:,:), allocatable :: xi2nd !< wave vector field for second derivatives + real(pReal), dimension(3,3,3,3) :: C_ref !< mechanic reference stiffness !-------------------------------------------------------------------------------------------------- ! plans for FFTW - type(C_PTR), private :: & + type(C_PTR) :: & planTensorForth, & !< FFTW MPI plan P(x) to P(k) planTensorBack, & !< FFTW MPI plan F(k) to F(x) planVectorForth, & !< FFTW MPI plan v(x) to v(k) @@ -65,7 +65,7 @@ module spectral_utilities !-------------------------------------------------------------------------------------------------- ! variables controlling debugging - logical, private :: & + logical :: & debugGeneral, & !< general debugging of spectral solver debugRotation, & !< also printing out results in lab frame debugPETSc !< use some in debug defined options for more verbose PETSc solution @@ -108,14 +108,14 @@ module spectral_utilities real(pReal) :: timeincOld end type tSolutionParams - type, private :: tNumerics + type :: tNumerics integer :: & divergence_correction !< scale divergence/curl calculation: [0: no correction, 1: size scaled to 1, 2: size scaled to Npoints] logical :: & memory_efficient !< calculate gamma operator on the fly end type tNumerics - type(tNumerics), private :: num ! numerics parameters. Better name? + type(tNumerics) :: num ! numerics parameters. Better name? enum, bind(c); enumerator :: & DERIVATIVE_CONTINUOUS_ID, & From d584207e0abc29156ec2fe35b529a5bd9adb7942 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Sun, 20 Sep 2020 12:11:48 +0200 Subject: [PATCH 004/103] same layout for easy diff --- src/grid/grid_mech_FEM.f90 | 23 ++++++------- src/grid/grid_mech_spectral_basic.f90 | 34 ++++++++++---------- src/grid/grid_mech_spectral_polarisation.f90 | 25 +++++++------- 3 files changed, 39 insertions(+), 43 deletions(-) diff --git a/src/grid/grid_mech_FEM.f90 b/src/grid/grid_mech_FEM.f90 index 57afecb20..bd6f862b2 100644 --- a/src/grid/grid_mech_FEM.f90 +++ b/src/grid/grid_mech_FEM.f90 @@ -34,18 +34,15 @@ module grid_mech_FEM itmin, & !< minimum number of iterations itmax !< maximum number of iterations real(pReal) :: & - err_div, & - divTol, & - BCTol, & eps_div_atol, & !< absolute tolerance for equilibrium eps_div_rtol, & !< relative tolerance for equilibrium eps_stress_atol, & !< absolute tolerance for fullfillment of stress BC eps_stress_rtol !< relative tolerance for fullfillment of stress BC end type tNumerics - type(tNumerics) :: num - logical :: & - debugRotation + type(tNumerics) :: num ! numerics parameters. Better name? + + logical :: debugRotation !-------------------------------------------------------------------------------------------------- ! PETSc data @@ -72,7 +69,6 @@ module grid_mech_FEM P_av = 0.0_pReal !< average 1st Piola--Kirchhoff stress character(len=:), allocatable :: incInfo !< time and increment information - real(pReal), dimension(3,3,3,3) :: & C_volAvg = 0.0_pReal, & !< current volume average stiffness C_volAvgLastInc = 0.0_pReal, & !< previous volume average stiffness @@ -99,7 +95,6 @@ contains subroutine grid_mech_FEM_init real(pReal) :: HGCoeff = 0.0e-2_pReal - PetscInt, dimension(0:worldsize-1) :: localK real(pReal), dimension(3,3) :: & temp33_Real = 0.0_pReal real(pReal), dimension(4,8) :: & @@ -111,24 +106,25 @@ subroutine grid_mech_FEM_init -1.0_pReal, 1.0_pReal,-1.0_pReal,-1.0_pReal, & 1.0_pReal,-1.0_pReal,-1.0_pReal,-1.0_pReal, & 1.0_pReal, 1.0_pReal, 1.0_pReal, 1.0_pReal], [4,8]) + real(pReal), dimension(3,3,3,3) :: devNull PetscErrorCode :: ierr + PetscScalar, pointer, dimension(:,:,:,:) :: & + u_current,u_lastInc + PetscInt, dimension(0:worldsize-1) :: localK integer(HID_T) :: fileHandle, groupHandle character(len=pStringLen) :: & fileName class(tNode), pointer :: & num_grid, & debug_grid - real(pReal), dimension(3,3,3,3) :: devNull - PetscScalar, pointer, dimension(:,:,:,:) :: & - u_current,u_lastInc print'(/,a)', ' <<<+- grid_mech_FEM init -+>>>'; flush(6) -!----------------------------------------------------------------------------------------------- +!------------------------------------------------------------------------------------------------- ! debugging options debug_grid => config_debug%get('grid', defaultVal=emptyList) debugRotation = debug_grid%contains('rotation') - + !------------------------------------------------------------------------------------------------- ! read numerical parameters and do sanity checks num_grid => config_numerics%get('grid',defaultVal=emptyDict) @@ -242,6 +238,7 @@ subroutine grid_mech_FEM_init F_lastInc = spread(spread(spread(math_I3,3,grid(1)),4,grid(2)),5,grid3) ! initialize to identity F = spread(spread(spread(math_I3,3,grid(1)),4,grid(2)),5,grid3) endif restartRead + materialpoint_F0 = reshape(F_lastInc, [3,3,1,product(grid(1:2))*grid3]) ! set starting condition for materialpoint_stressAndItsTangent call utilities_updateCoords(F) call utilities_constitutiveResponse(P_current,temp33_Real,C_volAvg,devNull, & ! stress field, stress avg, global average of stiffness and (min+max)/2 diff --git a/src/grid/grid_mech_spectral_basic.f90 b/src/grid/grid_mech_spectral_basic.f90 index 8ec6172b4..b199c723f 100644 --- a/src/grid/grid_mech_spectral_basic.f90 +++ b/src/grid/grid_mech_spectral_basic.f90 @@ -96,18 +96,17 @@ subroutine grid_mech_spectral_basic_init real(pReal), dimension(3,3,grid(1),grid(2),grid3) :: P real(pReal), dimension(3,3) :: & temp33_Real = 0.0_pReal - class (tNode), pointer :: & - num_grid, & - debug_grid - PetscErrorCode :: ierr PetscScalar, pointer, dimension(:,:,:,:) :: & F ! pointer to solution data - PetscInt, dimension(worldsize) :: localK + PetscInt, dimension(0:worldsize-1) :: localK integer(HID_T) :: fileHandle, groupHandle integer :: fileUnit character(len=pStringLen) :: & fileName + class (tNode), pointer :: & + num_grid, & + debug_grid print'(/,a)', ' <<<+- grid_mech_spectral_basic init -+>>>'; flush(6) @@ -121,7 +120,7 @@ subroutine grid_mech_spectral_basic_init ! debugging options debug_grid => config_debug%get('grid', defaultVal=emptyList) debugRotation = debug_grid%contains('rotation') - + !------------------------------------------------------------------------------------------------- ! read numerical parameters and do sanity checks num_grid => config_numerics%get('grid',defaultVal=emptyDict) @@ -140,7 +139,7 @@ subroutine grid_mech_spectral_basic_init if (num%eps_stress_rtol < 0.0_pReal) call IO_error(301,ext_msg='eps_stress_rtol') if (num%itmax <= 1) call IO_error(301,ext_msg='itmax') if (num%itmin > num%itmax .or. num%itmin < 1) call IO_error(301,ext_msg='itmin') - + !-------------------------------------------------------------------------------------------------- ! set default and user defined options for PETSc call PETScOptionsInsertString(PETSC_NULL_OPTIONS,'-mech_snes_type ngmres',ierr) @@ -157,8 +156,8 @@ subroutine grid_mech_spectral_basic_init ! initialize solver specific parts of PETSc call SNESCreate(PETSC_COMM_WORLD,snes,ierr); CHKERRQ(ierr) call SNESSetOptionsPrefix(snes,'mech_',ierr);CHKERRQ(ierr) - localK = 0 - localK(worldrank+1) = grid3 + localK = 0 + localK(worldrank) = grid3 call MPI_Allreduce(MPI_IN_PLACE,localK,worldsize,MPI_INTEGER,MPI_SUM,PETSC_COMM_WORLD,ierr) call DMDACreate3d(PETSC_COMM_WORLD, & DM_BOUNDARY_NONE, DM_BOUNDARY_NONE, DM_BOUNDARY_NONE, & ! cut off stencil at boundary @@ -202,8 +201,8 @@ subroutine grid_mech_spectral_basic_init endif restartRead materialpoint_F0 = reshape(F_lastInc, [3,3,1,product(grid(1:2))*grid3]) ! set starting condition for materialpoint_stressAndItsTangent - call Utilities_updateCoords(reshape(F,shape(F_lastInc))) - call Utilities_constitutiveResponse(P,temp33_Real,C_volAvg,C_minMaxAvg, & ! stress field, stress avg, global average of stiffness and (min+max)/2 + call utilities_updateCoords(reshape(F,shape(F_lastInc))) + call utilities_constitutiveResponse(P,temp33_Real,C_volAvg,C_minMaxAvg, & ! stress field, stress avg, global average of stiffness and (min+max)/2 reshape(F,shape(F_lastInc)), & ! target F 0.0_pReal) ! time increment call DMDAVecRestoreArrayF90(da,solution_vec,F,ierr); CHKERRQ(ierr) ! deassociate pointer @@ -288,7 +287,7 @@ subroutine grid_mech_spectral_basic_forward(cutBack,guess,timeinc,timeinc_old,lo type(rotation), intent(in) :: & rotation_BC PetscErrorCode :: ierr - PetscScalar, dimension(:,:,:,:), pointer :: F + PetscScalar, pointer, dimension(:,:,:,:) :: F !-------------------------------------------------------------------------------------------------- ! set module wide available data @@ -334,7 +333,7 @@ subroutine grid_mech_spectral_basic_forward(cutBack,guess,timeinc,timeinc_old,lo !-------------------------------------------------------------------------------------------------- ! update average and local deformation gradients F_aim = F_aim_lastInc + F_aimDot * timeinc - F = reshape(Utilities_forwardField(timeinc,F_lastInc,Fdot, & ! estimate of F at end of time+timeinc that matches rotated F_aim on average + F = reshape(utilities_forwardField(timeinc,F_lastInc,Fdot, & ! estimate of F at end of time+timeinc that matches rotated F_aim on average rotation_BC%rotate(F_aim,active=.true.)),[9,grid(1),grid(2),grid3]) call DMDAVecRestoreArrayF90(da,solution_vec,F,ierr); CHKERRQ(ierr) @@ -368,7 +367,7 @@ subroutine grid_mech_spectral_basic_restartWrite call DMDAVecGetArrayF90(da,solution_vec,F,ierr); CHKERRQ(ierr) - print'(a)', ' writing solver data required for restart to file'; flush(6) + print*, 'writing solver data required for restart to file'; flush(6) write(fileName,'(a,a,i0,a)') trim(getSolverJobName()),'_',worldrank,'.hdf5' fileHandle = HDF5_openFile(fileName,'w') @@ -462,6 +461,7 @@ subroutine formResidual(in, F, & call SNESGetIterationNumber(snes,PETScIter,ierr); CHKERRQ(ierr) if (nfuncs == 0 .and. PETScIter == 0) totalIter = -1 ! new increment + !-------------------------------------------------------------------------------------------------- ! begin of new iteration newIteration: if (totalIter <= PETScIter) then @@ -484,8 +484,8 @@ subroutine formResidual(in, F, & !-------------------------------------------------------------------------------------------------- ! stress BC handling - deltaF_aim = math_mul3333xx33(S, P_av - params%stress_BC) - F_aim = F_aim - deltaF_aim + deltaF_aim = math_mul3333xx33(S, P_av - params%stress_BC) ! S = 0.0 for no bc + F_aim = F_aim -deltaF_aim err_BC = maxval(abs(params%stress_mask * (P_av - params%stress_BC))) ! mask = 0.0 when no stress bc !-------------------------------------------------------------------------------------------------- @@ -493,7 +493,7 @@ subroutine formResidual(in, F, & tensorField_real = 0.0_pReal tensorField_real(1:3,1:3,1:grid(1),1:grid(2),1:grid3) = residuum ! store fPK field for subsequent FFT forward transform call utilities_FFTtensorForward ! FFT forward of global "tensorField_real" - err_div = Utilities_divergenceRMS() ! divRMS of tensorField_fourier for later use + err_div = utilities_divergenceRMS() ! divRMS of tensorField_fourier for later use call utilities_fourierGammaConvolution(params%rotation_BC%rotate(deltaF_aim,active=.true.)) ! convolution of Gamma and tensorField_fourier call utilities_FFTtensorBackward ! FFT backward of global tensorField_fourier diff --git a/src/grid/grid_mech_spectral_polarisation.f90 b/src/grid/grid_mech_spectral_polarisation.f90 index c61f71b27..393f8f3f7 100644 --- a/src/grid/grid_mech_spectral_polarisation.f90 +++ b/src/grid/grid_mech_spectral_polarisation.f90 @@ -15,7 +15,6 @@ module grid_mech_spectral_polarisation use DAMASK_interface use HDF5_utilities use math - use rotations use spectral_utilities use FEsolving use config @@ -108,10 +107,6 @@ subroutine grid_mech_spectral_polarisation_init real(pReal), dimension(3,3,grid(1),grid(2),grid3) :: P real(pReal), dimension(3,3) :: & temp33_Real = 0.0_pReal - class (tNode), pointer :: & - num_grid, & - debug_grid - PetscErrorCode :: ierr PetscScalar, pointer, dimension(:,:,:,:) :: & FandF_tau, & ! overall pointer to solution data @@ -122,13 +117,16 @@ subroutine grid_mech_spectral_polarisation_init integer :: fileUnit character(len=pStringLen) :: & fileName + class (tNode), pointer :: & + num_grid, & + debug_grid print'(/,a)', ' <<<+- grid_mech_spectral_polarisation init -+>>>'; flush(6) print*, 'Shanthraj et al., International Journal of Plasticity 66:31–45, 2015' print*, 'https://doi.org/10.1016/j.ijplas.2014.02.006' -!------------------------------------------------------------------------------------------------ +!------------------------------------------------------------------------------------------------- ! debugging options debug_grid => config_debug%get('grid',defaultVal=emptyList) debugRotation = debug_grid%contains('rotation') @@ -136,6 +134,7 @@ subroutine grid_mech_spectral_polarisation_init !------------------------------------------------------------------------------------------------- ! read numerical parameters and do sanity checks num_grid => config_numerics%get('grid',defaultVal=emptyDict) + num%update_gamma = num_grid%get_asBool ('update_gamma', defaultVal=.false.) num%eps_div_atol = num_grid%get_asFloat ('eps_div_atol', defaultVal=1.0e-4_pReal) num%eps_div_rtol = num_grid%get_asFloat ('eps_div_rtol', defaultVal=5.0e-4_pReal) @@ -228,8 +227,8 @@ subroutine grid_mech_spectral_polarisation_init endif restartRead materialpoint_F0 = reshape(F_lastInc, [3,3,1,product(grid(1:2))*grid3]) ! set starting condition for materialpoint_stressAndItsTangent - call Utilities_updateCoords(reshape(F,shape(F_lastInc))) - call Utilities_constitutiveResponse(P,temp33_Real,C_volAvg,C_minMaxAvg, & ! stress field, stress avg, global average of stiffness and (min+max)/2 + call utilities_updateCoords(reshape(F,shape(F_lastInc))) + call utilities_constitutiveResponse(P,temp33_Real,C_volAvg,C_minMaxAvg, & ! stress field, stress avg, global average of stiffness and (min+max)/2 reshape(F,shape(F_lastInc)), & ! target F 0.0_pReal) ! time increment call DMDAVecRestoreArrayF90(da,solution_vec,FandF_tau,ierr); CHKERRQ(ierr) ! deassociate pointer @@ -277,7 +276,7 @@ function grid_mech_spectral_polarisation_solution(incInfoIn) result(solution) !-------------------------------------------------------------------------------------------------- ! update stiffness (and gamma operator) S = utilities_maskedCompliance(params%rotation_BC,params%stress_mask>.5_pReal,C_volAvg) - if (num%update_gamma) then + if(num%update_gamma) then call utilities_updateGamma(C_minMaxAvg) C_scale = C_minMaxAvg S_scale = math_invSym3333(C_minMaxAvg) @@ -320,7 +319,7 @@ subroutine grid_mech_spectral_polarisation_forward(cutBack,guess,timeinc,timeinc type(rotation), intent(in) :: & rotation_BC PetscErrorCode :: ierr - PetscScalar, dimension(:,:,:,:), pointer :: FandF_tau, F, F_tau + PetscScalar, pointer, dimension(:,:,:,:) :: FandF_tau, F, F_tau integer :: i, j, k real(pReal), dimension(3,3) :: F_lambda33 @@ -588,7 +587,7 @@ subroutine formResidual(in, FandF_tau, & !-------------------------------------------------------------------------------------------------- ! stress BC handling - F_aim = F_aim - math_mul3333xx33(S, ((P_av - params%stress_BC))) ! S = 0.0 for no bc + F_aim = F_aim - math_mul3333xx33(S, P_av - params%stress_BC) ! S = 0.0 for no bc err_BC = maxval(abs((1.0_pReal-params%stress_mask) * math_mul3333xx33(C_scale,F_aim & -params%rotation_BC%rotate(F_av)) + & params%stress_mask * (P_av-params%stress_BC))) ! mask = 0.0 for no bc @@ -596,7 +595,7 @@ subroutine formResidual(in, FandF_tau, & tensorField_real = 0.0_pReal tensorField_real(1:3,1:3,1:grid(1),1:grid(2),1:grid3) = residual_F !< stress field in disguise call utilities_FFTtensorForward - err_div = Utilities_divergenceRMS() !< root mean squared error in divergence of stress + err_div = utilities_divergenceRMS() !< root mean squared error in divergence of stress !-------------------------------------------------------------------------------------------------- ! constructing residual @@ -615,7 +614,7 @@ subroutine formResidual(in, FandF_tau, & tensorField_real = 0.0_pReal tensorField_real(1:3,1:3,1:grid(1),1:grid(2),1:grid3) = F call utilities_FFTtensorForward - err_curl = Utilities_curlRMS() + err_curl = utilities_curlRMS() end subroutine formResidual From 6367cb8fcba017330d762273e4ee38fc514fe187 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Sun, 20 Sep 2020 13:29:51 +0200 Subject: [PATCH 005/103] consistent handling of boundary conditions A stress boundary condition 'P' indicates the stress at the end of the load case (same as for 'F') 'Pdot' for given increase of (technical) strain is not implemented. Does not change anything for the most common case of zero-stress boundary conditions, but simplifies the specification of stress ramps --- src/grid/DAMASK_grid.f90 | 6 +++--- src/grid/grid_mech_FEM.f90 | 19 +++++++++--------- src/grid/grid_mech_spectral_basic.f90 | 21 ++++++++++++-------- src/grid/grid_mech_spectral_polarisation.f90 | 15 +++++++++----- 4 files changed, 36 insertions(+), 25 deletions(-) diff --git a/src/grid/DAMASK_grid.f90 b/src/grid/DAMASK_grid.f90 index 59a5b452c..54d080744 100644 --- a/src/grid/DAMASK_grid.f90 +++ b/src/grid/DAMASK_grid.f90 @@ -107,8 +107,8 @@ program DAMASK_grid !-------------------------------------------------------------------------------------------------- ! initialize field solver information nActiveFields = 1 - if (any(thermal_type == THERMAL_conduction_ID )) nActiveFields = nActiveFields + 1 - if (any(damage_type == DAMAGE_nonlocal_ID )) nActiveFields = nActiveFields + 1 + if(any(thermal_type == THERMAL_conduction_ID)) nActiveFields = nActiveFields + 1 + if(any(damage_type == DAMAGE_nonlocal_ID )) nActiveFields = nActiveFields + 1 allocate(solres(nActiveFields)) allocate(newLoadCase%ID(nActiveFields)) @@ -181,7 +181,7 @@ program DAMASK_grid if ((N_def /= N_n) .or. (N_n /= N_t) .or. N_n < 1) & ! sanity check call IO_error(error_ID=837,el=currentLoadCase,ext_msg = trim(interface_loadFile)) ! error message for incomplete loadcase - newLoadCase%stress%myType='stress' + newLoadCase%stress%myType='p' field = 1 newLoadCase%ID(field) = FIELD_MECH_ID ! mechanical active by default thermalActive: if (any(thermal_type == THERMAL_conduction_ID)) then diff --git a/src/grid/grid_mech_FEM.f90 b/src/grid/grid_mech_FEM.f90 index bd6f862b2..9efd88505 100644 --- a/src/grid/grid_mech_FEM.f90 +++ b/src/grid/grid_mech_FEM.f90 @@ -66,8 +66,8 @@ module grid_mech_FEM F_aim = math_I3, & !< current prescribed deformation gradient F_aim_lastIter = math_I3, & F_aim_lastInc = math_I3, & !< previous average deformation gradient - P_av = 0.0_pReal !< average 1st Piola--Kirchhoff stress - + P_av = 0.0_pReal, & !< average 1st Piola--Kirchhoff stress + P_aim = 0.0_pReal character(len=:), allocatable :: incInfo !< time and increment information real(pReal), dimension(3,3,3,3) :: & C_volAvg = 0.0_pReal, & !< current volume average stiffness @@ -327,7 +327,6 @@ subroutine grid_mech_FEM_forward(cutBack,guess,timeinc,timeinc_old,loadCaseTime, !-------------------------------------------------------------------------------------------------- ! set module wide available data params%stress_mask = stress_BC%maskFloat - params%stress_BC = stress_BC%values params%rotation_BC = rotation_BC params%timeinc = timeinc params%timeincOld = timeinc_old @@ -374,6 +373,12 @@ subroutine grid_mech_FEM_forward(cutBack,guess,timeinc,timeinc_old,loadCaseTime, !-------------------------------------------------------------------------------------------------- ! update average and local deformation gradients F_aim = F_aim_lastInc + F_aimDot * timeinc + if (stress_BC%myType=='p') then + P_aim = P_aim + stress_BC%maskFloat*(stress_BC%values - P_aim)/loadCaseTime*timeinc + elseif (stress_BC%myType=='pdot') then !UNTESTED + P_aim = P_aim + stress_BC%maskFloat*stress_BC%values*timeinc + endif + call VecAXPY(solution_current,timeinc,solution_rate,ierr); CHKERRQ(ierr) call DMDAVecRestoreArrayF90(mech_grid,solution_current,u_current,ierr);CHKERRQ(ierr) @@ -489,8 +494,6 @@ subroutine formResidual(da_local,x_local, & PetscScalar, pointer,dimension(:,:,:,:) :: x_scal, f_scal PetscScalar, dimension(8,3) :: x_elem, f_elem PetscInt :: i, ii, j, jj, k, kk, ctr, ele - real(pReal), dimension(3,3) :: & - deltaF_aim PetscInt :: & PETScIter, & nfuncs @@ -539,10 +542,8 @@ subroutine formResidual(da_local,x_local, & !-------------------------------------------------------------------------------------------------- ! stress BC handling - F_aim_lastIter = F_aim - deltaF_aim = math_mul3333xx33(S, P_av - params%stress_BC) - F_aim = F_aim - deltaF_aim - err_BC = maxval(abs(params%stress_mask * (P_av - params%stress_BC))) ! mask = 0.0 when no stress bc + F_aim = F_aim - math_mul3333xx33(S, P_av - P_aim) ! S = 0.0 for no bc + err_BC = maxval(abs(params%stress_mask * (P_av - P_aim))) ! mask = 0.0 when no stress bc !-------------------------------------------------------------------------------------------------- ! constructing residual diff --git a/src/grid/grid_mech_spectral_basic.f90 b/src/grid/grid_mech_spectral_basic.f90 index b199c723f..cd795f005 100644 --- a/src/grid/grid_mech_spectral_basic.f90 +++ b/src/grid/grid_mech_spectral_basic.f90 @@ -62,8 +62,8 @@ module grid_mech_spectral_basic F_aimDot = 0.0_pReal, & !< assumed rate of average deformation gradient F_aim = math_I3, & !< current prescribed deformation gradient F_aim_lastInc = math_I3, & !< previous average deformation gradient - P_av = 0.0_pReal !< average 1st Piola--Kirchhoff stress - + P_av = 0.0_pReal, & !< average 1st Piola--Kirchhoff stress + P_aim = 0.0_pReal character(len=:), allocatable :: incInfo !< time and increment information real(pReal), dimension(3,3,3,3) :: & C_volAvg = 0.0_pReal, & !< current volume average stiffness @@ -129,7 +129,7 @@ subroutine grid_mech_spectral_basic_init num%eps_div_atol = num_grid%get_asFloat ('eps_div_atol', defaultVal=1.0e-4_pReal) num%eps_div_rtol = num_grid%get_asFloat ('eps_div_rtol', defaultVal=5.0e-4_pReal) num%eps_stress_atol = num_grid%get_asFloat ('eps_stress_atol',defaultVal=1.0e3_pReal) - num%eps_stress_rtol = num_grid%get_asFloat ('eps_stress_rtol',defaultVal=0.01_pReal) + num%eps_stress_rtol = num_grid%get_asFloat ('eps_stress_rtol',defaultVal=0.001_pReal) num%itmin = num_grid%get_asInt ('itmin',defaultVal=1) num%itmax = num_grid%get_asInt ('itmax',defaultVal=250) @@ -292,7 +292,6 @@ subroutine grid_mech_spectral_basic_forward(cutBack,guess,timeinc,timeinc_old,lo !-------------------------------------------------------------------------------------------------- ! set module wide available data params%stress_mask = stress_BC%maskFloat - params%stress_BC = stress_BC%values params%rotation_BC = rotation_BC params%timeinc = timeinc params%timeincOld = timeinc_old @@ -333,6 +332,12 @@ subroutine grid_mech_spectral_basic_forward(cutBack,guess,timeinc,timeinc_old,lo !-------------------------------------------------------------------------------------------------- ! update average and local deformation gradients F_aim = F_aim_lastInc + F_aimDot * timeinc + if (stress_BC%myType=='p') then + P_aim = P_aim + stress_BC%maskFloat*(stress_BC%values - P_aim)/loadCaseTime*timeinc + elseif (stress_BC%myType=='pdot') then !UNTESTED + P_aim = P_aim + stress_BC%maskFloat*stress_BC%values*timeinc + endif + F = reshape(utilities_forwardField(timeinc,F_lastInc,Fdot, & ! estimate of F at end of time+timeinc that matches rotated F_aim on average rotation_BC%rotate(F_aim,active=.true.)),[9,grid(1),grid(2),grid3]) call DMDAVecRestoreArrayF90(da,solution_vec,F,ierr); CHKERRQ(ierr) @@ -484,9 +489,9 @@ subroutine formResidual(in, F, & !-------------------------------------------------------------------------------------------------- ! stress BC handling - deltaF_aim = math_mul3333xx33(S, P_av - params%stress_BC) ! S = 0.0 for no bc - F_aim = F_aim -deltaF_aim - err_BC = maxval(abs(params%stress_mask * (P_av - params%stress_BC))) ! mask = 0.0 when no stress bc + deltaF_aim = math_mul3333xx33(S, P_av - P_aim) ! S = 0.0 for no bc + F_aim = F_aim - deltaF_aim + err_BC = maxval(abs(params%stress_mask * (P_av - P_aim))) ! mask = 0.0 when no stress bc !-------------------------------------------------------------------------------------------------- ! updated deformation gradient using fix point algorithm of basic scheme @@ -499,7 +504,7 @@ subroutine formResidual(in, F, & !-------------------------------------------------------------------------------------------------- ! constructing residual - residuum = tensorField_real(1:3,1:3,1:grid(1),1:grid(2),1:grid3) ! Gamma*P gives correction towards div(P) = 0, so needs to be zero, too + residuum = tensorField_real(1:3,1:3,1:grid(1),1:grid(2),1:grid3) ! Gamma*P gives correction towards div(P) = 0, so needs to be zero, too end subroutine formResidual diff --git a/src/grid/grid_mech_spectral_polarisation.f90 b/src/grid/grid_mech_spectral_polarisation.f90 index 393f8f3f7..4dc9d6d7c 100644 --- a/src/grid/grid_mech_spectral_polarisation.f90 +++ b/src/grid/grid_mech_spectral_polarisation.f90 @@ -70,8 +70,8 @@ module grid_mech_spectral_polarisation F_aim = math_I3, & !< current prescribed deformation gradient F_aim_lastInc = math_I3, & !< previous average deformation gradient F_av = 0.0_pReal, & !< average incompatible def grad field - P_av = 0.0_pReal !< average 1st Piola--Kirchhoff stress - + P_av = 0.0_pReal, & !< average 1st Piola--Kirchhoff stress + P_aim = 0.0_pReal character(len=:), allocatable :: incInfo !< time and increment information real(pReal), dimension(3,3,3,3) :: & C_volAvg = 0.0_pReal, & !< current volume average stiffness @@ -326,7 +326,6 @@ subroutine grid_mech_spectral_polarisation_forward(cutBack,guess,timeinc,timeinc !-------------------------------------------------------------------------------------------------- ! set module wide available data params%stress_mask = stress_BC%maskFloat - params%stress_BC = stress_BC%values params%rotation_BC = rotation_BC params%timeinc = timeinc params%timeincOld = timeinc_old @@ -373,6 +372,12 @@ subroutine grid_mech_spectral_polarisation_forward(cutBack,guess,timeinc,timeinc !-------------------------------------------------------------------------------------------------- ! update average and local deformation gradients F_aim = F_aim_lastInc + F_aimDot * timeinc + if (stress_BC%myType=='p') then + P_aim = P_aim + stress_BC%maskFloat*(stress_BC%values - P_aim)/loadCaseTime*timeinc + elseif (stress_BC%myType=='pdot') then !UNTESTED + P_aim = P_aim + stress_BC%maskFloat*stress_BC%values*timeinc + endif + F = reshape(utilities_forwardField(timeinc,F_lastInc,Fdot, & ! estimate of F at end of time+timeinc that matches rotated F_aim on average rotation_BC%rotate(F_aim,active=.true.)),& [9,grid(1),grid(2),grid3]) @@ -587,10 +592,10 @@ subroutine formResidual(in, FandF_tau, & !-------------------------------------------------------------------------------------------------- ! stress BC handling - F_aim = F_aim - math_mul3333xx33(S, P_av - params%stress_BC) ! S = 0.0 for no bc + F_aim = F_aim - math_mul3333xx33(S, P_av - P_aim) ! S = 0.0 for no bc err_BC = maxval(abs((1.0_pReal-params%stress_mask) * math_mul3333xx33(C_scale,F_aim & -params%rotation_BC%rotate(F_av)) + & - params%stress_mask * (P_av-params%stress_BC))) ! mask = 0.0 for no bc + params%stress_mask * (P_av-P_aim))) ! mask = 0.0 for no bc ! calculate divergence tensorField_real = 0.0_pReal tensorField_real(1:3,1:3,1:grid(1),1:grid(2),1:grid3) = residual_F !< stress field in disguise From 0a7d4f61acfce1de1c7deb2b7962802641b0163b Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Sun, 20 Sep 2020 16:24:08 +0200 Subject: [PATCH 006/103] Need only logical mask 'merge' substitutes multiplication with float mask --- src/grid/DAMASK_grid.f90 | 105 +++++++++---------- src/grid/grid_mech_FEM.f90 | 26 +++-- src/grid/grid_mech_spectral_basic.f90 | 26 +++-- src/grid/grid_mech_spectral_polarisation.f90 | 30 +++--- src/grid/spectral_utilities.f90 | 15 ++- 5 files changed, 96 insertions(+), 106 deletions(-) diff --git a/src/grid/DAMASK_grid.f90 b/src/grid/DAMASK_grid.f90 index 54d080744..d33d136f7 100644 --- a/src/grid/DAMASK_grid.f90 +++ b/src/grid/DAMASK_grid.f90 @@ -24,7 +24,7 @@ program DAMASK_grid use grid_damage_spectral use grid_thermal_spectral use results - + implicit none !-------------------------------------------------------------------------------------------------- @@ -88,7 +88,7 @@ program DAMASK_grid mech_updateCoords procedure(grid_mech_spectral_basic_restartWrite), pointer :: & mech_restartWrite - + external :: & quit class (tNode), pointer :: & @@ -97,10 +97,10 @@ program DAMASK_grid !-------------------------------------------------------------------------------------------------- ! init DAMASK (all modules) - - call CPFEM_initAll + + call CPFEM_initAll print'(/,a)', ' <<<+- DAMASK_spectral init -+>>>'; flush(6) - + print*, 'Shanthraj et al., Handbook of Mechanics of Materials, 2019' print*, 'https://doi.org/10.1007/978-981-10-6855-3_80' @@ -123,16 +123,16 @@ program DAMASK_grid !-------------------------------------------------------------------------------------------------- ! assign mechanics solver depending on selected type - + debug_grid => config_debug%get('grid',defaultVal=emptyList) - select case (trim(num_grid%get_asString('solver', defaultVal = 'Basic'))) + select case (trim(num_grid%get_asString('solver', defaultVal = 'Basic'))) case ('Basic') mech_init => grid_mech_spectral_basic_init mech_forward => grid_mech_spectral_basic_forward mech_solution => grid_mech_spectral_basic_solution mech_updateCoords => grid_mech_spectral_basic_updateCoords mech_restartWrite => grid_mech_spectral_basic_restartWrite - + case ('Polarisation') if(debug_grid%contains('basic')) & call IO_warning(42, ext_msg='debug Divergence') @@ -141,7 +141,7 @@ program DAMASK_grid mech_solution => grid_mech_spectral_polarisation_solution mech_updateCoords => grid_mech_spectral_polarisation_updateCoords mech_restartWrite => grid_mech_spectral_polarisation_restartWrite - + case ('FEM') if(debug_grid%contains('basic')) & call IO_warning(42, ext_msg='debug Divergence') @@ -150,24 +150,24 @@ program DAMASK_grid mech_solution => grid_mech_FEM_solution mech_updateCoords => grid_mech_FEM_updateCoords mech_restartWrite => grid_mech_FEM_restartWrite - + case default call IO_error(error_ID = 891, ext_msg = trim(num_grid%get_asString('solver'))) - + end select - + !-------------------------------------------------------------------------------------------------- -! reading information from load case file and to sanity checks +! reading information from load case file and to sanity checks fileContent = IO_readlines(trim(interface_loadFile)) if(size(fileContent) == 0) call IO_error(307,ext_msg='No load case specified') - + allocate (loadCases(0)) ! array of load cases do currentLoadCase = 1, size(fileContent) line = fileContent(currentLoadCase) if (IO_isBlank(line)) cycle chunkPos = IO_stringPos(line) - + do i = 1, chunkPos(1) ! reading compulsory parameters for loadcase select case (IO_lc(IO_stringValue(line,chunkPos,i))) case('l','fdot','dotf','f') @@ -180,7 +180,7 @@ program DAMASK_grid enddo if ((N_def /= N_n) .or. (N_n /= N_t) .or. N_n < 1) & ! sanity check call IO_error(error_ID=837,el=currentLoadCase,ext_msg = trim(interface_loadFile)) ! error message for incomplete loadcase - + newLoadCase%stress%myType='p' field = 1 newLoadCase%ID(field) = FIELD_MECH_ID ! mechanical active by default @@ -192,7 +192,7 @@ program DAMASK_grid field = field + 1 newLoadCase%ID(field) = FIELD_DAMAGE_ID endif damageActive - + call newLoadCase%rot%fromEulers(real([0.0,0.0,0.0],pReal)) readIn: do i = 1, chunkPos(1) select case (IO_lc(IO_stringValue(line,chunkPos,i))) @@ -210,18 +210,16 @@ program DAMASK_grid temp_maskVector(j) = IO_stringValue(line,chunkPos,i+j) /= '*' ! true if not a * if (temp_maskVector(j)) temp_valueVector(j) = IO_floatValue(line,chunkPos,i+j) ! read value where applicable enddo - newLoadCase%deformation%maskLogical = transpose(reshape(temp_maskVector,[ 3,3])) ! logical mask in 3x3 notation - newLoadCase%deformation%maskFloat = merge(ones,zeros,newLoadCase%deformation%maskLogical) ! float (1.0/0.0) mask in 3x3 notation - newLoadCase%deformation%values = math_9to33(temp_valueVector) ! values in 3x3 notation + newLoadCase%deformation%mask = transpose(reshape(temp_maskVector,[ 3,3])) ! mask in 3x3 notation + newLoadCase%deformation%values = math_9to33(temp_valueVector) ! values in 3x3 notation case('p','stress', 's') temp_valueVector = 0.0_pReal do j = 1, 9 temp_maskVector(j) = IO_stringValue(line,chunkPos,i+j) /= '*' ! true if not an asterisk if (temp_maskVector(j)) temp_valueVector(j) = IO_floatValue(line,chunkPos,i+j) ! read value where applicable enddo - newLoadCase%stress%maskLogical = transpose(reshape(temp_maskVector,[ 3,3])) - newLoadCase%stress%maskFloat = merge(ones,zeros,newLoadCase%stress%maskLogical) - newLoadCase%stress%values = math_9to33(temp_valueVector) + newLoadCase%stress%mask = transpose(reshape(temp_maskVector,[ 3,3])) + newLoadCase%stress%values = math_9to33(temp_valueVector) case('t','time','delta') ! increment time newLoadCase%time = IO_floatValue(line,chunkPos,i+1) case('n','incs','increments') ! number of increments @@ -258,9 +256,9 @@ program DAMASK_grid call newLoadCase%rot%fromMatrix(math_9to33(temp_valueVector)) end select enddo readIn - + newLoadCase%followFormerTrajectory = merge(.true.,.false.,currentLoadCase > 1) ! by default, guess from previous load case - + reportAndCheck: if (worldrank == 0) then write (loadcase_string, '(i0)' ) currentLoadCase print'(/,a,i0)', ' load case: ', currentLoadCase @@ -268,8 +266,8 @@ program DAMASK_grid print*, ' drop guessing along trajectory' if (newLoadCase%deformation%myType == 'l') then do j = 1, 3 - if (any(newLoadCase%deformation%maskLogical(j,1:3) .eqv. .true.) .and. & - any(newLoadCase%deformation%maskLogical(j,1:3) .eqv. .false.)) errorID = 832 ! each row should be either fully or not at all defined + if (any(newLoadCase%deformation%mask(j,1:3) .eqv. .true.) .and. & + any(newLoadCase%deformation%mask(j,1:3) .eqv. .false.)) errorID = 832 ! each row should be either fully or not at all defined enddo print*, ' velocity gradient:' else if (newLoadCase%deformation%myType == 'f') then @@ -278,20 +276,19 @@ program DAMASK_grid print*, ' deformation gradient rate:' endif do i = 1, 3; do j = 1, 3 - if(newLoadCase%deformation%maskLogical(i,j)) then + if(newLoadCase%deformation%mask(i,j)) then write(6,'(2x,f12.7)',advance='no') newLoadCase%deformation%values(i,j) else write(6,'(2x,12a)',advance='no') ' * ' endif enddo; write(6,'(/)',advance='no') enddo - if (any(newLoadCase%stress%maskLogical .eqv. & - newLoadCase%deformation%maskLogical)) errorID = 831 ! exclusive or masking only - if (any(newLoadCase%stress%maskLogical .and. transpose(newLoadCase%stress%maskLogical) & - .and. (math_I3<1))) errorID = 838 ! no rotation is allowed by stress BC + if (any(newLoadCase%stress%mask .eqv. newLoadCase%deformation%mask)) errorID = 831 ! exclusive or masking only + if (any(newLoadCase%stress%mask .and. transpose(newLoadCase%stress%mask) .and. (math_I3<1))) & + errorID = 838 ! no rotation is allowed by stress BC print*, ' stress / GPa:' do i = 1, 3; do j = 1, 3 - if(newLoadCase%stress%maskLogical(i,j)) then + if(newLoadCase%stress%mask(i,j)) then write(6,'(2x,f12.7)',advance='no') newLoadCase%stress%values(i,j)*1e-9_pReal else write(6,'(2x,12a)',advance='no') ' * ' @@ -325,13 +322,13 @@ program DAMASK_grid select case (loadCases(1)%ID(field)) case(FIELD_MECH_ID) call mech_init - + case(FIELD_THERMAL_ID) call grid_thermal_spectral_init - + case(FIELD_DAMAGE_ID) call grid_damage_spectral_init - + end select enddo @@ -348,16 +345,16 @@ program DAMASK_grid '.sta',form='FORMATTED', position='APPEND', status='OLD') endif writeHeader endif - + writeUndeformed: if (interface_restartInc < 1) then print'(/,a)', ' ... writing initial configuration to file ........................' call CPFEM_results(0,0.0_pReal) endif writeUndeformed - + loadCaseLooping: do currentLoadCase = 1, size(loadCases) time0 = time ! load case start time guess = loadCases(currentLoadCase)%followFormerTrajectory ! change of load case? homogeneous guess for the first inc - + incLooping: do inc = 1, loadCases(currentLoadCase)%incs totalIncsCounter = totalIncsCounter + 1 @@ -382,13 +379,13 @@ program DAMASK_grid endif endif timeinc = timeinc * real(subStepFactor,pReal)**real(-cutBackLevel,pReal) ! depending on cut back level, decrease time step - + skipping: if (totalIncsCounter <= interface_restartInc) then ! not yet at restart inc? time = time + timeinc ! just advance time, skip already performed calculation guess = .true. ! QUESTION:why forced guessing instead of inheriting loadcase preference else skipping stepFraction = 0 ! fraction scaled by stepFactor**cutLevel - + subStepLooping: do while (stepFraction < subStepFactor**cutBackLevel) remainingLoadCaseTime = loadCases(currentLoadCase)%time+time0 - time time = time + timeinc ! forward target time @@ -417,7 +414,7 @@ program DAMASK_grid deformation_BC = loadCases(currentLoadCase)%deformation, & stress_BC = loadCases(currentLoadCase)%stress, & rotation_BC = loadCases(currentLoadCase)%rot) - + case(FIELD_THERMAL_ID); call grid_thermal_spectral_forward(cutBack) case(FIELD_DAMAGE_ID); call grid_damage_spectral_forward(cutBack) end select @@ -438,9 +435,9 @@ program DAMASK_grid case(FIELD_DAMAGE_ID) solres(field) = grid_damage_spectral_solution(timeinc,timeIncOld) end select - + if (.not. solres(field)%converged) exit ! no solution found - + enddo stagIter = stagIter + 1 stagIterate = stagIter < stagItMax & @@ -474,17 +471,17 @@ program DAMASK_grid if (worldrank == 0) close(statUnit) call quit(0) ! quit endif - + enddo subStepLooping - + cutBackLevel = max(0, cutBackLevel - 1) ! try half number of subincs next inc - + if (all(solres(:)%converged)) then print'(/,a,i0,a)', ' increment ', totalIncsCounter, ' converged' else print'(/,a,i0,a)', ' increment ', totalIncsCounter, ' NOT converged' endif; flush(6) - + if (mod(inc,loadCases(currentLoadCase)%outputFrequency) == 0) then ! at output frequency print'(1/,a)', ' ... writing results to file ......................................' flush(6) @@ -495,17 +492,17 @@ program DAMASK_grid call CPFEM_restartWrite endif endif skipping - + enddo incLooping - + enddo loadCaseLooping - - + + !-------------------------------------------------------------------------------------------------- ! report summary of whole calculation print'(/,a)', ' ###########################################################################' if (worldrank == 0) close(statUnit) - + call quit(0) ! no complains ;) - + end program DAMASK_grid diff --git a/src/grid/grid_mech_FEM.f90 b/src/grid/grid_mech_FEM.f90 index 9efd88505..9d9c962e1 100644 --- a/src/grid/grid_mech_FEM.f90 +++ b/src/grid/grid_mech_FEM.f90 @@ -25,8 +25,6 @@ module grid_mech_FEM implicit none private -!-------------------------------------------------------------------------------------------------- -! derived types type(tSolutionParams) :: params type :: tNumerics @@ -282,7 +280,7 @@ function grid_mech_FEM_solution(incInfoIn) result(solution) !-------------------------------------------------------------------------------------------------- ! update stiffness (and gamma operator) - S = utilities_maskedCompliance(params%rotation_BC,params%stress_mask>.5_pReal,C_volAvg) + S = utilities_maskedCompliance(params%rotation_BC,params%stress_mask,C_volAvg) !-------------------------------------------------------------------------------------------------- ! solve BVP @@ -326,7 +324,7 @@ subroutine grid_mech_FEM_forward(cutBack,guess,timeinc,timeinc_old,loadCaseTime, !-------------------------------------------------------------------------------------------------- ! set module wide available data - params%stress_mask = stress_BC%maskFloat + params%stress_mask = stress_BC%mask params%rotation_BC = rotation_BC params%timeinc = timeinc params%timeincOld = timeinc_old @@ -340,20 +338,20 @@ subroutine grid_mech_FEM_forward(cutBack,guess,timeinc,timeinc_old,loadCaseTime, else C_volAvgLastInc = C_volAvg - F_aimDot = merge(stress_BC%maskFloat*(F_aim-F_aim_lastInc)/timeinc_old, 0.0_pReal, guess) + F_aimDot = merge(merge((F_aim-F_aim_lastInc)/timeinc_old,0.0_pReal,stress_BC%mask), 0.0_pReal, guess) F_aim_lastInc = F_aim !----------------------------------------------------------------------------------------------- ! calculate rate for aim if (deformation_BC%myType=='l') then ! calculate F_aimDot from given L and current F - F_aimDot = & - F_aimDot + deformation_BC%maskFloat * matmul(deformation_BC%values, F_aim_lastInc) + F_aimDot = F_aimDot & + + merge(matmul(deformation_BC%values, F_aim_lastInc),.0_pReal,deformation_BC%mask) elseif(deformation_BC%myType=='fdot') then ! F_aimDot is prescribed - F_aimDot = & - F_aimDot + deformation_BC%maskFloat * deformation_BC%values + F_aimDot = F_aimDot & + + merge(deformation_BC%values,.0_pReal,deformation_BC%mask) elseif (deformation_BC%myType=='f') then ! aim at end of load case is prescribed - F_aimDot = & - F_aimDot + deformation_BC%maskFloat * (deformation_BC%values - F_aim_lastInc)/loadCaseTime + F_aimDot = F_aimDot & + + merge((deformation_BC%values - F_aim_lastInc)/loadCaseTime,.0_pReal,deformation_BC%mask) endif if (guess) then @@ -374,9 +372,9 @@ subroutine grid_mech_FEM_forward(cutBack,guess,timeinc,timeinc_old,loadCaseTime, ! update average and local deformation gradients F_aim = F_aim_lastInc + F_aimDot * timeinc if (stress_BC%myType=='p') then - P_aim = P_aim + stress_BC%maskFloat*(stress_BC%values - P_aim)/loadCaseTime*timeinc + P_aim = P_aim + merge((stress_BC%values - P_aim)/loadCaseTime*timeinc,.0_pReal,stress_BC%mask) elseif (stress_BC%myType=='pdot') then !UNTESTED - P_aim = P_aim + stress_BC%maskFloat*stress_BC%values*timeinc + P_aim = P_aim + merge(stress_BC%values*timeinc,.0_pReal,stress_BC%mask) endif call VecAXPY(solution_current,timeinc,solution_rate,ierr); CHKERRQ(ierr) @@ -543,7 +541,7 @@ subroutine formResidual(da_local,x_local, & !-------------------------------------------------------------------------------------------------- ! stress BC handling F_aim = F_aim - math_mul3333xx33(S, P_av - P_aim) ! S = 0.0 for no bc - err_BC = maxval(abs(params%stress_mask * (P_av - P_aim))) ! mask = 0.0 when no stress bc + err_BC = maxval(abs(merge(P_av - P_aim,.0_pReal,params%stress_mask))) !-------------------------------------------------------------------------------------------------- ! constructing residual diff --git a/src/grid/grid_mech_spectral_basic.f90 b/src/grid/grid_mech_spectral_basic.f90 index cd795f005..fd5e63663 100644 --- a/src/grid/grid_mech_spectral_basic.f90 +++ b/src/grid/grid_mech_spectral_basic.f90 @@ -24,8 +24,6 @@ module grid_mech_spectral_basic implicit none private -!-------------------------------------------------------------------------------------------------- -! derived types type(tSolutionParams) :: params type :: tNumerics @@ -247,7 +245,7 @@ function grid_mech_spectral_basic_solution(incInfoIn) result(solution) !-------------------------------------------------------------------------------------------------- ! update stiffness (and gamma operator) - S = utilities_maskedCompliance(params%rotation_BC,params%stress_mask>.5_pReal,C_volAvg) + S = utilities_maskedCompliance(params%rotation_BC,params%stress_mask,C_volAvg) if(num%update_gamma) call utilities_updateGamma(C_minMaxAvg) !-------------------------------------------------------------------------------------------------- @@ -291,7 +289,7 @@ subroutine grid_mech_spectral_basic_forward(cutBack,guess,timeinc,timeinc_old,lo !-------------------------------------------------------------------------------------------------- ! set module wide available data - params%stress_mask = stress_BC%maskFloat + params%stress_mask = stress_BC%mask params%rotation_BC = rotation_BC params%timeinc = timeinc params%timeincOld = timeinc_old @@ -305,20 +303,20 @@ subroutine grid_mech_spectral_basic_forward(cutBack,guess,timeinc,timeinc_old,lo C_volAvgLastInc = C_volAvg C_minMaxAvgLastInc = C_minMaxAvg - F_aimDot = merge(stress_BC%maskFloat*(F_aim-F_aim_lastInc)/timeinc_old, 0.0_pReal, guess) + F_aimDot = merge(merge((F_aim-F_aim_lastInc)/timeinc_old,0.0_pReal,stress_BC%mask), 0.0_pReal, guess) F_aim_lastInc = F_aim !----------------------------------------------------------------------------------------------- ! calculate rate for aim if (deformation_BC%myType=='l') then ! calculate F_aimDot from given L and current F - F_aimDot = & - F_aimDot + deformation_BC%maskFloat * matmul(deformation_BC%values, F_aim_lastInc) + F_aimDot = F_aimDot & + + merge(matmul(deformation_BC%values, F_aim_lastInc),.0_pReal,deformation_BC%mask) elseif(deformation_BC%myType=='fdot') then ! F_aimDot is prescribed - F_aimDot = & - F_aimDot + deformation_BC%maskFloat * deformation_BC%values + F_aimDot = F_aimDot & + + merge(deformation_BC%values,.0_pReal,deformation_BC%mask) elseif (deformation_BC%myType=='f') then ! aim at end of load case is prescribed - F_aimDot = & - F_aimDot + deformation_BC%maskFloat * (deformation_BC%values - F_aim_lastInc)/loadCaseTime + F_aimDot = F_aimDot & + + merge((deformation_BC%values - F_aim_lastInc)/loadCaseTime,.0_pReal,deformation_BC%mask) endif Fdot = utilities_calculateRate(guess, & @@ -333,9 +331,9 @@ subroutine grid_mech_spectral_basic_forward(cutBack,guess,timeinc,timeinc_old,lo ! update average and local deformation gradients F_aim = F_aim_lastInc + F_aimDot * timeinc if (stress_BC%myType=='p') then - P_aim = P_aim + stress_BC%maskFloat*(stress_BC%values - P_aim)/loadCaseTime*timeinc + P_aim = P_aim + merge((stress_BC%values - P_aim)/loadCaseTime*timeinc,.0_pReal,stress_BC%mask) elseif (stress_BC%myType=='pdot') then !UNTESTED - P_aim = P_aim + stress_BC%maskFloat*stress_BC%values*timeinc + P_aim = P_aim + merge(stress_BC%values*timeinc,.0_pReal,stress_BC%mask) endif F = reshape(utilities_forwardField(timeinc,F_lastInc,Fdot, & ! estimate of F at end of time+timeinc that matches rotated F_aim on average @@ -491,7 +489,7 @@ subroutine formResidual(in, F, & ! stress BC handling deltaF_aim = math_mul3333xx33(S, P_av - P_aim) ! S = 0.0 for no bc F_aim = F_aim - deltaF_aim - err_BC = maxval(abs(params%stress_mask * (P_av - P_aim))) ! mask = 0.0 when no stress bc + err_BC = maxval(abs(merge(P_av - P_aim,.0_pReal,params%stress_mask))) !-------------------------------------------------------------------------------------------------- ! updated deformation gradient using fix point algorithm of basic scheme diff --git a/src/grid/grid_mech_spectral_polarisation.f90 b/src/grid/grid_mech_spectral_polarisation.f90 index 4dc9d6d7c..91632f3b9 100644 --- a/src/grid/grid_mech_spectral_polarisation.f90 +++ b/src/grid/grid_mech_spectral_polarisation.f90 @@ -24,8 +24,6 @@ module grid_mech_spectral_polarisation implicit none private -!-------------------------------------------------------------------------------------------------- -! derived types type(tSolutionParams) :: params type :: tNumerics @@ -275,7 +273,7 @@ function grid_mech_spectral_polarisation_solution(incInfoIn) result(solution) !-------------------------------------------------------------------------------------------------- ! update stiffness (and gamma operator) - S = utilities_maskedCompliance(params%rotation_BC,params%stress_mask>.5_pReal,C_volAvg) + S = utilities_maskedCompliance(params%rotation_BC,params%stress_mask,C_volAvg) if(num%update_gamma) then call utilities_updateGamma(C_minMaxAvg) C_scale = C_minMaxAvg @@ -325,7 +323,7 @@ subroutine grid_mech_spectral_polarisation_forward(cutBack,guess,timeinc,timeinc !-------------------------------------------------------------------------------------------------- ! set module wide available data - params%stress_mask = stress_BC%maskFloat + params%stress_mask = stress_BC%mask params%rotation_BC = rotation_BC params%timeinc = timeinc params%timeincOld = timeinc_old @@ -341,20 +339,20 @@ subroutine grid_mech_spectral_polarisation_forward(cutBack,guess,timeinc,timeinc C_volAvgLastInc = C_volAvg C_minMaxAvgLastInc = C_minMaxAvg - F_aimDot = merge(stress_BC%maskFloat*(F_aim-F_aim_lastInc)/timeinc_old, 0.0_pReal, guess) + F_aimDot = merge(merge((F_aim-F_aim_lastInc)/timeinc_old,0.0_pReal,stress_BC%mask), 0.0_pReal, guess) F_aim_lastInc = F_aim !----------------------------------------------------------------------------------------------- ! calculate rate for aim if (deformation_BC%myType=='l') then ! calculate F_aimDot from given L and current F - F_aimDot = & - F_aimDot + deformation_BC%maskFloat * matmul(deformation_BC%values, F_aim_lastInc) + F_aimDot = F_aimDot & + + merge(matmul(deformation_BC%values, F_aim_lastInc),.0_pReal,deformation_BC%mask) elseif(deformation_BC%myType=='fdot') then ! F_aimDot is prescribed - F_aimDot = & - F_aimDot + deformation_BC%maskFloat * deformation_BC%values + F_aimDot = F_aimDot & + + merge(deformation_BC%values,.0_pReal,deformation_BC%mask) elseif (deformation_BC%myType=='f') then ! aim at end of load case is prescribed - F_aimDot = & - F_aimDot + deformation_BC%maskFloat * (deformation_BC%values - F_aim_lastInc)/loadCaseTime + F_aimDot = F_aimDot & + + merge((deformation_BC%values - F_aim_lastInc)/loadCaseTime,.0_pReal,deformation_BC%mask) endif Fdot = utilities_calculateRate(guess, & @@ -373,9 +371,9 @@ subroutine grid_mech_spectral_polarisation_forward(cutBack,guess,timeinc,timeinc ! update average and local deformation gradients F_aim = F_aim_lastInc + F_aimDot * timeinc if (stress_BC%myType=='p') then - P_aim = P_aim + stress_BC%maskFloat*(stress_BC%values - P_aim)/loadCaseTime*timeinc + P_aim = P_aim + merge((stress_BC%values - P_aim)/loadCaseTime*timeinc,.0_pReal,stress_BC%mask) elseif (stress_BC%myType=='pdot') then !UNTESTED - P_aim = P_aim + stress_BC%maskFloat*stress_BC%values*timeinc + P_aim = P_aim + merge(stress_BC%values*timeinc,.0_pReal,stress_BC%mask) endif F = reshape(utilities_forwardField(timeinc,F_lastInc,Fdot, & ! estimate of F at end of time+timeinc that matches rotated F_aim on average @@ -593,9 +591,9 @@ subroutine formResidual(in, FandF_tau, & !-------------------------------------------------------------------------------------------------- ! stress BC handling F_aim = F_aim - math_mul3333xx33(S, P_av - P_aim) ! S = 0.0 for no bc - err_BC = maxval(abs((1.0_pReal-params%stress_mask) * math_mul3333xx33(C_scale,F_aim & - -params%rotation_BC%rotate(F_av)) + & - params%stress_mask * (P_av-P_aim))) ! mask = 0.0 for no bc + err_BC = maxval(abs(merge(P_av-P_aim, & + math_mul3333xx33(C_scale,F_aim-params%rotation_BC%rotate(F_av)),& + params%stress_mask))) ! calculate divergence tensorField_real = 0.0_pReal tensorField_real(1:3,1:3,1:grid(1),1:grid(2),1:grid3) = residual_F !< stress field in disguise diff --git a/src/grid/spectral_utilities.f90 b/src/grid/spectral_utilities.f90 index 52df30c39..896337bf6 100644 --- a/src/grid/spectral_utilities.f90 +++ b/src/grid/spectral_utilities.f90 @@ -82,10 +82,9 @@ module spectral_utilities end type tSolutionState type, public :: tBoundaryCondition !< set of parameters defining a boundary condition - real(pReal), dimension(3,3) :: values = 0.0_pReal, & - maskFloat = 0.0_pReal - logical, dimension(3,3) :: maskLogical = .false. - character(len=pStringLen) :: myType = 'None' + real(pReal), dimension(3,3) :: values = 0.0_pReal + logical, dimension(3,3) :: mask = .false. + character(len=pStringLen) :: myType = 'None' end type tBoundaryCondition type, public :: tLoadCase @@ -101,11 +100,11 @@ module spectral_utilities integer(kind(FIELD_UNDEFINED_ID)), allocatable :: ID(:) end type tLoadCase - type, public :: tSolutionParams !< @todo use here the type definition for a full loadcase - real(pReal), dimension(3,3) :: stress_mask, stress_BC + type, public :: tSolutionParams + real(pReal), dimension(3,3) :: stress_BC + logical, dimension(3,3) :: stress_mask type(rotation) :: rotation_BC - real(pReal) :: timeinc - real(pReal) :: timeincOld + real(pReal) :: timeinc, timeincOld end type tSolutionParams type :: tNumerics From c4d0ac71a999c8d10220f3748d84f35505fd6936 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Sun, 20 Sep 2020 17:15:39 +0200 Subject: [PATCH 007/103] silences GNU10 compilation warning only for 'DEFENSIVE'. Does not cause any harm --- src/rotations.f90 | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/rotations.f90 b/src/rotations.f90 index 72046a965..04490fe3c 100644 --- a/src/rotations.f90 +++ b/src/rotations.f90 @@ -1452,7 +1452,7 @@ subroutine selfTest contains - function quaternion_equal(qu1,qu2) result(ok) + pure recursive function quaternion_equal(qu1,qu2) result(ok) real(pReal), intent(in), dimension(4) :: qu1,qu2 logical :: ok From 329cc1c953cd24cccaa0002152f8cfdc546415e4 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Sun, 20 Sep 2020 17:36:11 +0200 Subject: [PATCH 008/103] tighter tolerance for stress --- src/grid/grid_mech_FEM.f90 | 12 +++++------ src/grid/grid_mech_spectral_basic.f90 | 14 ++++++------- src/grid/grid_mech_spectral_polarisation.f90 | 22 ++++++++++---------- 3 files changed, 24 insertions(+), 24 deletions(-) diff --git a/src/grid/grid_mech_FEM.f90 b/src/grid/grid_mech_FEM.f90 index 9d9c962e1..a6f713adc 100644 --- a/src/grid/grid_mech_FEM.f90 +++ b/src/grid/grid_mech_FEM.f90 @@ -126,12 +126,12 @@ subroutine grid_mech_FEM_init !------------------------------------------------------------------------------------------------- ! read numerical parameters and do sanity checks num_grid => config_numerics%get('grid',defaultVal=emptyDict) - num%eps_div_atol = num_grid%get_asFloat ('eps_div_atol', defaultVal=1.0e-4_pReal) - num%eps_div_rtol = num_grid%get_asFloat ('eps_div_rtol', defaultVal=5.0e-4_pReal) - num%eps_stress_atol = num_grid%get_asFloat ('eps_stress_atol', defaultVal=1.0e3_pReal) - num%eps_stress_rtol = num_grid%get_asFloat ('eps_stress_rtol', defaultVal=0.01_pReal) - num%itmin = num_grid%get_asInt ('itmin',defaultVal=1) - num%itmax = num_grid%get_asInt ('itmax',defaultVal=250) + num%eps_div_atol = num_grid%get_asFloat('eps_div_atol', defaultVal=1.0e-4_pReal) + num%eps_div_rtol = num_grid%get_asFloat('eps_div_rtol', defaultVal=5.0e-4_pReal) + num%eps_stress_atol = num_grid%get_asFloat('eps_stress_atol',defaultVal=1.0e3_pReal) + num%eps_stress_rtol = num_grid%get_asFloat('eps_stress_rtol',defaultVal=1.0e-3_pReal) + num%itmin = num_grid%get_asInt ('itmin', defaultVal=1) + num%itmax = num_grid%get_asInt ('itmax', defaultVal=250) if (num%eps_div_atol <= 0.0_pReal) call IO_error(301,ext_msg='eps_div_atol') if (num%eps_div_rtol < 0.0_pReal) call IO_error(301,ext_msg='eps_div_rtol') diff --git a/src/grid/grid_mech_spectral_basic.f90 b/src/grid/grid_mech_spectral_basic.f90 index fd5e63663..4ed41cb7b 100644 --- a/src/grid/grid_mech_spectral_basic.f90 +++ b/src/grid/grid_mech_spectral_basic.f90 @@ -123,13 +123,13 @@ subroutine grid_mech_spectral_basic_init ! read numerical parameters and do sanity checks num_grid => config_numerics%get('grid',defaultVal=emptyDict) - num%update_gamma = num_grid%get_asBool ('update_gamma', defaultVal=.false.) - num%eps_div_atol = num_grid%get_asFloat ('eps_div_atol', defaultVal=1.0e-4_pReal) - num%eps_div_rtol = num_grid%get_asFloat ('eps_div_rtol', defaultVal=5.0e-4_pReal) - num%eps_stress_atol = num_grid%get_asFloat ('eps_stress_atol',defaultVal=1.0e3_pReal) - num%eps_stress_rtol = num_grid%get_asFloat ('eps_stress_rtol',defaultVal=0.001_pReal) - num%itmin = num_grid%get_asInt ('itmin',defaultVal=1) - num%itmax = num_grid%get_asInt ('itmax',defaultVal=250) + num%update_gamma = num_grid%get_asBool ('update_gamma', defaultVal=.false.) + num%eps_div_atol = num_grid%get_asFloat('eps_div_atol', defaultVal=1.0e-4_pReal) + num%eps_div_rtol = num_grid%get_asFloat('eps_div_rtol', defaultVal=5.0e-4_pReal) + num%eps_stress_atol = num_grid%get_asFloat('eps_stress_atol',defaultVal=1.0e3_pReal) + num%eps_stress_rtol = num_grid%get_asFloat('eps_stress_rtol',defaultVal=1.0e-3_pReal) + num%itmin = num_grid%get_asInt ('itmin', defaultVal=1) + num%itmax = num_grid%get_asInt ('itmax', defaultVal=250) if (num%eps_div_atol <= 0.0_pReal) call IO_error(301,ext_msg='eps_div_atol') if (num%eps_div_rtol < 0.0_pReal) call IO_error(301,ext_msg='eps_div_rtol') diff --git a/src/grid/grid_mech_spectral_polarisation.f90 b/src/grid/grid_mech_spectral_polarisation.f90 index 91632f3b9..b8bbcacd8 100644 --- a/src/grid/grid_mech_spectral_polarisation.f90 +++ b/src/grid/grid_mech_spectral_polarisation.f90 @@ -133,17 +133,17 @@ subroutine grid_mech_spectral_polarisation_init ! read numerical parameters and do sanity checks num_grid => config_numerics%get('grid',defaultVal=emptyDict) - num%update_gamma = num_grid%get_asBool ('update_gamma', defaultVal=.false.) - num%eps_div_atol = num_grid%get_asFloat ('eps_div_atol', defaultVal=1.0e-4_pReal) - num%eps_div_rtol = num_grid%get_asFloat ('eps_div_rtol', defaultVal=5.0e-4_pReal) - num%eps_curl_atol = num_grid%get_asFloat ('eps_curl_atol', defaultVal=1.0e-10_pReal) - num%eps_curl_rtol = num_grid%get_asFloat ('eps_curl_rtol', defaultVal=5.0e-4_pReal) - num%eps_stress_atol = num_grid%get_asFloat ('eps_stress_atol', defaultVal=1.0e3_pReal) - num%eps_stress_rtol = num_grid%get_asFloat ('eps_stress_rtol', defaultVal=0.01_pReal) - num%itmin = num_grid%get_asInt ('itmin', defaultVal=1) - num%itmax = num_grid%get_asInt ('itmax', defaultVal=250) - num%alpha = num_grid%get_asFloat ('alpha', defaultVal=1.0_pReal) - num%beta = num_grid%get_asFloat ('beta', defaultVal=1.0_pReal) + num%update_gamma = num_grid%get_asBool ('update_gamma', defaultVal=.false.) + num%eps_div_atol = num_grid%get_asFloat('eps_div_atol', defaultVal=1.0e-4_pReal) + num%eps_div_rtol = num_grid%get_asFloat('eps_div_rtol', defaultVal=5.0e-4_pReal) + num%eps_curl_atol = num_grid%get_asFloat('eps_curl_atol', defaultVal=1.0e-10_pReal) + num%eps_curl_rtol = num_grid%get_asFloat('eps_curl_rtol', defaultVal=5.0e-4_pReal) + num%eps_stress_atol = num_grid%get_asFloat('eps_stress_atol',defaultVal=1.0e3_pReal) + num%eps_stress_rtol = num_grid%get_asFloat('eps_stress_rtol',defaultVal=1.0e-3_pReal) + num%itmin = num_grid%get_asInt ('itmin', defaultVal=1) + num%itmax = num_grid%get_asInt ('itmax', defaultVal=250) + num%alpha = num_grid%get_asFloat('alpha', defaultVal=1.0_pReal) + num%beta = num_grid%get_asFloat('beta', defaultVal=1.0_pReal) if (num%eps_div_atol <= 0.0_pReal) call IO_error(301,ext_msg='eps_div_atol') if (num%eps_div_rtol < 0.0_pReal) call IO_error(301,ext_msg='eps_div_rtol') From 9ed92781833fdd25b6b95c23fa60f9c37bb828a2 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Sun, 20 Sep 2020 19:46:33 +0200 Subject: [PATCH 009/103] polishing --- src/material.f90 | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) diff --git a/src/material.f90 b/src/material.f90 index f8e487b66..cabc57835 100644 --- a/src/material.f90 +++ b/src/material.f90 @@ -2,7 +2,7 @@ !> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH !> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH !> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH -!> @brief Parses material config file, either solverJobName.materialConfig or material.config +!> @brief Defines phase and homogenization !-------------------------------------------------------------------------------------------------- module material use prec @@ -83,7 +83,7 @@ module material material_homogenizationAt !< homogenization ID of each element integer, dimension(:,:), allocatable, public, target :: & ! (ip,elem) ToDo: ugly target for mapping hack material_homogenizationMemberAt !< position of the element within its homogenization instance - integer, dimension(:,:), allocatable, public, protected :: & ! (constituent,elem) + integer, dimension(:,:), allocatable, public, protected :: & ! (constituent,elem) material_phaseAt !< phase ID of each element integer, dimension(:,:,:), allocatable, public, protected :: & ! (constituent,elem) material_phaseMemberAt !< position of the element within its phase instance @@ -326,7 +326,7 @@ subroutine material_parseMicrostructure constituents, & !> list of constituents constituent, & !> constituent definition phases, & - homogenization + homogenizations integer, dimension(:), allocatable :: & counterPhase, & @@ -362,8 +362,8 @@ subroutine material_parseMicrostructure phases => config_material%get('phase') allocate(counterPhase(phases%length),source=0) - homogenization => config_material%get('homogenization') - allocate(counterHomogenization(homogenization%length),source=0) + homogenizations => config_material%get('homogenization') + allocate(counterHomogenization(homogenizations%length),source=0) do e = 1, discretization_nElem microstructure => microstructures%get(discretization_microstructureAt(e)) From ca2f3f9493490fca7e8db63512ac21e54914debb Mon Sep 17 00:00:00 2001 From: Philip Eisenlohr Date: Mon, 21 Sep 2020 10:29:07 -0400 Subject: [PATCH 010/103] set_X and add_comments methods now default to out-of-place --- python/damask/_geom.py | 73 ++++++++++++++++++++++----------------- python/tests/test_Geom.py | 26 +++++++++++++- 2 files changed, 67 insertions(+), 32 deletions(-) diff --git a/python/damask/_geom.py b/python/damask/_geom.py index f5dc05f2f..0c9a4d9e4 100644 --- a/python/damask/_geom.py +++ b/python/damask/_geom.py @@ -35,11 +35,11 @@ class Geom: Comment lines. """ - self.set_microstructure(microstructure) - self.set_size(size) - self.set_origin(origin) - self.set_homogenization(homogenization) - self.set_comments(comments) + self.set_microstructure(microstructure,inplace=True) + self.set_size(size,inplace=True) + self.set_origin(origin,inplace=True) + self.set_homogenization(homogenization,inplace=True) + self.set_comments(comments,inplace=True) def __repr__(self): @@ -85,17 +85,16 @@ class Geom: raise ValueError('Auto-sizing conflicts with explicit size parameter.') grid_old = self.get_grid() - dup = self.copy() - dup.set_microstructure(microstructure) - dup.set_origin(origin) + dup = self.set_microstructure(microstructure)\ + .set_origin(origin) if comments is not None: - dup.set_comments(comments) + dup.set_comments(comments,inplace=True) if size is not None: - dup.set_size(size) + dup.set_size(size,inplace=True) elif autosize: - dup.set_size(dup.get_grid()/grid_old*self.get_size()) + dup.set_size(dup.get_grid()/grid_old*self.get_size(),inplace=True) return dup @@ -134,7 +133,7 @@ class Geom: return util.return_message(message) - def set_comments(self,comments): + def set_comments(self,comments,inplace=False): """ Replace all existing comments. @@ -144,11 +143,13 @@ class Geom: All comments. """ - self.comments = [] - self.add_comments(comments) + target = self if inplace else self.copy() + target.comments = [] + target.add_comments(comments,inplace=True) + if not inplace: return target - def add_comments(self,comments): + def add_comments(self,comments,inplace=False): """ Append comments to existing comments. @@ -158,10 +159,12 @@ class Geom: New comments. """ - self.comments += [str(c) for c in comments] if isinstance(comments,list) else [str(comments)] + target = self if inplace else self.copy() + target.comments += [str(c) for c in comments] if isinstance(comments,list) else [str(comments)] + if not inplace: return target - def set_microstructure(self,microstructure): + def set_microstructure(self,microstructure,inplace=False): """ Replace the existing microstructure representation. @@ -175,24 +178,26 @@ class Geom: Microstructure indices. """ + target = self if inplace else self.copy() if microstructure is not None: if isinstance(microstructure,np.ma.core.MaskedArray): - self.microstructure = np.where(microstructure.mask, - self.microstructure,microstructure.data) + target.microstructure = np.where(microstructure.mask, + target.microstructure,microstructure.data) else: - self.microstructure = np.copy(microstructure) + target.microstructure = np.copy(microstructure) - if self.microstructure.dtype in np.sctypes['float'] and \ - np.all(self.microstructure == self.microstructure.astype(int).astype(float)): - self.microstructure = self.microstructure.astype(int) + if target.microstructure.dtype in np.sctypes['float'] and \ + np.all(target.microstructure == target.microstructure.astype(int).astype(float)): + target.microstructure = target.microstructure.astype(int) - if len(self.microstructure.shape) != 3: + if len(target.microstructure.shape) != 3: raise ValueError(f'Invalid microstructure shape {microstructure.shape}') - elif self.microstructure.dtype not in np.sctypes['float'] + np.sctypes['int']: + elif target.microstructure.dtype not in np.sctypes['float'] + np.sctypes['int']: raise TypeError(f'Invalid microstructure data type {microstructure.dtype}') + if not inplace: return target - def set_size(self,size): + def set_size(self,size,inplace=False): """ Replace the existing size information. @@ -202,14 +207,16 @@ class Geom: Physical size of the microstructure in meter. """ + target = self if inplace else self.copy() if size is not None: if len(size) != 3 or any(np.array(size) <= 0): raise ValueError(f'Invalid size {size}') else: - self.size = np.array(size) + target.size = np.array(size) + if not inplace: return target - def set_origin(self,origin): + def set_origin(self,origin,inplace=False): """ Replace the existing origin information. @@ -219,14 +226,16 @@ class Geom: Physical origin of the microstructure in meter. """ + target = self if inplace else self.copy() if origin is not None: if len(origin) != 3: raise ValueError(f'Invalid origin {origin}') else: - self.origin = np.array(origin) + target.origin = np.array(origin) + if not inplace: return target - def set_homogenization(self,homogenization): + def set_homogenization(self,homogenization,inplace=False): """ Replace the existing homogenization index. @@ -236,11 +245,13 @@ class Geom: Homogenization index. """ + target = self if inplace else self.copy() if homogenization is not None: if not isinstance(homogenization,int) or homogenization < 1: raise TypeError(f'Invalid homogenization {homogenization}.') else: - self.homogenization = homogenization + target.homogenization = homogenization + if not inplace: return target @property diff --git a/python/tests/test_Geom.py b/python/tests/test_Geom.py index 870cc7469..ff9c80057 100644 --- a/python/tests/test_Geom.py +++ b/python/tests/test_Geom.py @@ -54,11 +54,35 @@ class TestGeom: assert str(default.diff(new)) != '' + def test_set_inplace_outofplace_homogenization(self,default): + default.set_homogenization(123,inplace=True) + outofplace = default.set_homogenization(321,inplace=False) + assert default.get_homogenization() == 123 and outofplace.get_homogenization() == 321 + + + def test_set_inplace_outofplace_microstructure(self,default): + default.set_microstructure(np.arange(72).reshape((2,4,9)),inplace=True) + outofplace = default.set_microstructure(np.arange(72).reshape((8,3,3)),inplace=False) + assert np.array_equal(default.grid,[2,4,9]) and np.array_equal(outofplace.grid,[8,3,3]) + + + def test_set_inplace_outofplace_size(self,default): + default.set_size(np.array([1,2,3]),inplace=True) + outofplace = default.set_size(np.array([3,2,1]),inplace=False) + assert np.array_equal(default.get_size(),[1,2,3]) and np.array_equal(outofplace.get_size(),[3,2,1]) + + + def test_set_inplace_outofplace_comments(self,default): + default.set_comments(['a','and','b'],inplace=True) + outofplace = default.set_comments(['b','or','a'],inplace=False) + assert default.get_comments() == ['a','and','b'] and outofplace.get_comments() == ['b','or','a'] + + @pytest.mark.parametrize('masked',[True,False]) def test_set_microstructure(self,default,masked): old = default.get_microstructure() new = np.random.randint(200,size=default.grid) - default.set_microstructure(np.ma.MaskedArray(new,np.full_like(new,masked))) + default.set_microstructure(np.ma.MaskedArray(new,np.full_like(new,masked)),inplace=True) assert np.all(default.microstructure==(old if masked else new)) From 188905766fc284cdf7b58b427c2da2257c77efc1 Mon Sep 17 00:00:00 2001 From: Philip Eisenlohr Date: Mon, 21 Sep 2020 11:13:53 -0400 Subject: [PATCH 011/103] removed Geom.get_X() methods in favor of direct property access --- processing/pre/mentat_spectralBox.py | 14 ++-- processing/pre/seeds_fromGeom.py | 2 +- python/damask/_geom.py | 103 ++++++++++----------------- python/tests/test_Geom.py | 30 ++++---- 4 files changed, 60 insertions(+), 89 deletions(-) diff --git a/processing/pre/mentat_spectralBox.py b/processing/pre/mentat_spectralBox.py index 027240044..76649aa1a 100755 --- a/processing/pre/mentat_spectralBox.py +++ b/processing/pre/mentat_spectralBox.py @@ -42,7 +42,7 @@ def output(cmds,locals,dest): else: outFile(str(cmd),locals,dest) - + #------------------------------------------------------------------------------------------------- def init(): return [ @@ -114,7 +114,7 @@ def material(): "*add_geometry_elements", "all_existing", ] - + #------------------------------------------------------------------------------------------------- def geometry(): @@ -127,14 +127,14 @@ def geometry(): "*element_type 7", "all_existing", ] - + #------------------------------------------------------------------------------------------------- def initial_conditions(microstructures): elements = [] element = 0 for id in microstructures: - element += 1 + element += 1 if len(elements) < id: for i in range(id-len(elements)): elements.append([]) @@ -195,9 +195,9 @@ if filenames == []: filenames = [None] for name in filenames: damask.util.report(scriptName,name) - + geom = damask.Geom.from_file(StringIO(''.join(sys.stdin.read())) if name is None else name) - microstructure = geom.get_microstructure().flatten(order='F') + microstructure = geom.microstructure.flatten(order='F') cmds = [\ init(), @@ -210,7 +210,7 @@ for name in filenames: '*redraw', '*draw_automatic', ] - + outputLocals = {} if options.port: py_mentat.py_connect('',options.port) diff --git a/processing/pre/seeds_fromGeom.py b/processing/pre/seeds_fromGeom.py index 97550ce13..7773f6f53 100755 --- a/processing/pre/seeds_fromGeom.py +++ b/processing/pre/seeds_fromGeom.py @@ -47,7 +47,7 @@ for name in filenames: damask.util.report(scriptName,name) geom = damask.Geom.from_file(StringIO(''.join(sys.stdin.read())) if name is None else name) - microstructure = geom.get_microstructure().reshape((-1,1),order='F') + microstructure = geom.microstructure.reshape((-1,1),order='F') mask = np.logical_and(np.in1d(microstructure,options.whitelist,invert=False) if options.whitelist else \ np.full(geom.grid.prod(),True,dtype=bool), diff --git a/python/damask/_geom.py b/python/damask/_geom.py index 0c9a4d9e4..7e6b6a1d3 100644 --- a/python/damask/_geom.py +++ b/python/damask/_geom.py @@ -45,9 +45,9 @@ class Geom: def __repr__(self): """Basic information on geometry definition.""" return util.srepr([ - f'grid a b c: {util.srepr(self.get_grid ()," x ")}', - f'size x y z: {util.srepr(self.get_size ()," x ")}', - f'origin x y z: {util.srepr(self.get_origin()," ")}', + f'grid a b c: {util.srepr(self.grid, " x ")}', + f'size x y z: {util.srepr(self.size, " x ")}', + f'origin x y z: {util.srepr(self.origin," ")}', f'# materialpoints: {self.N_microstructure}', f'max materialpoint: {np.nanmax(self.microstructure)}', ]) @@ -84,7 +84,7 @@ class Geom: if size is not None and autosize: raise ValueError('Auto-sizing conflicts with explicit size parameter.') - grid_old = self.get_grid() + grid_old = self.grid dup = self.set_microstructure(microstructure)\ .set_origin(origin) @@ -94,7 +94,7 @@ class Geom: if size is not None: dup.set_size(size,inplace=True) elif autosize: - dup.set_size(dup.get_grid()/grid_old*self.get_size(),inplace=True) + dup.set_size(dup.grid/grid_old*self.size,inplace=True) return dup @@ -110,17 +110,17 @@ class Geom: """ message = [] - if np.any(other.get_grid() != self.get_grid()): - message.append(util.delete(f'grid a b c: {util.srepr(other.get_grid()," x ")}')) - message.append(util.emph( f'grid a b c: {util.srepr( self.get_grid()," x ")}')) + if np.any(other.grid != self.grid): + message.append(util.delete(f'grid a b c: {util.srepr(other.grid," x ")}')) + message.append(util.emph( f'grid a b c: {util.srepr( self.grid," x ")}')) - if np.any(other.get_size() != self.get_size()): - message.append(util.delete(f'size x y z: {util.srepr(other.get_size()," x ")}')) - message.append(util.emph( f'size x y z: {util.srepr( self.get_size()," x ")}')) + if np.any(other.size != self.size): + message.append(util.delete(f'size x y z: {util.srepr(other.size," x ")}')) + message.append(util.emph( f'size x y z: {util.srepr( self.size," x ")}')) - if np.any(other.get_origin() != self.get_origin()): - message.append(util.delete(f'origin x y z: {util.srepr(other.get_origin()," ")}')) - message.append(util.emph( f'origin x y z: {util.srepr( self.get_origin()," ")}')) + if np.any(other.origin != self.origin): + message.append(util.delete(f'origin x y z: {util.srepr(other.origin," ")}')) + message.append(util.emph( f'origin x y z: {util.srepr( self.origin," ")}')) if other.N_microstructure != self.N_microstructure: message.append(util.delete(f'# materialpoints: {other.N_microstructure}')) @@ -256,7 +256,7 @@ class Geom: @property def grid(self): - return self.get_grid() + return np.asarray(self.microstructure.shape) @property @@ -264,36 +264,6 @@ class Geom: return np.unique(self.microstructure).size - def get_microstructure(self): - """Return the microstructure representation.""" - return np.copy(self.microstructure) - - - def get_size(self): - """Return the physical size in meter.""" - return np.copy(self.size) - - - def get_origin(self): - """Return the origin in meter.""" - return np.copy(self.origin) - - - def get_grid(self): - """Return the grid discretization.""" - return np.asarray(self.microstructure.shape) - - - def get_homogenization(self): - """Return the homogenization index.""" - return self.homogenization - - - def get_comments(self): - """Return the comments.""" - return self.comments[:] - - @staticmethod def from_file(fname): """ @@ -488,13 +458,14 @@ class Geom: Compress geometry with 'x of y' and 'a to b'. """ - header = [f'{len(geom.comments)+4} header'] + geom.comments - header.append('grid a {} b {} c {}'.format(*geom.get_grid())) - header.append('size x {} y {} z {}'.format(*geom.get_size())) - header.append('origin x {} y {} z {}'.format(*geom.get_origin())) - header.append(f'homogenization {geom.get_homogenization()}') + header = [f'{len(geom.comments)+4} header'] + geom.comments \ + +[ 'grid a {} b {} c {}'.format(*geom.grid), + 'size x {} y {} z {}'.format(*geom.size), + 'origin x {} y {} z {}'.format(*geom.origin), + f'homogenization {geom.homogenization}', + ] - grid = geom.get_grid() + grid = geom.grid if pack is None: plain = grid.prod()/geom.N_microstructure < 250 @@ -634,7 +605,7 @@ class Geom: ms = np.ma.MaskedArray(fill_,np.logical_not(mask) if inverse else mask) return self.duplicate(ms, - comments=self.get_comments()+[util.execution_stamp('Geom','add_primitive')], + comments=self.comments+[util.execution_stamp('Geom','add_primitive')], ) @@ -656,7 +627,7 @@ class Geom: raise ValueError(f'Invalid direction {set(directions).difference(valid)} specified.') limits = [None,None] if reflect else [-2,0] - ms = self.get_microstructure() + ms = self.microstructure.copy() if 'z' in directions: ms = np.concatenate([ms,ms[:,:,limits[0]:limits[1]:-1]],2) @@ -666,7 +637,7 @@ class Geom: ms = np.concatenate([ms,ms[limits[0]:limits[1]:-1,:,:]],0) return self.duplicate(ms, - comments=self.get_comments()+[util.execution_stamp('Geom','mirror')], + comments=self.comments+[util.execution_stamp('Geom','mirror')], autosize=True) @@ -688,7 +659,7 @@ class Geom: ms = np.flip(self.microstructure, (valid.index(d) for d in directions if d in valid)) return self.duplicate(ms, - comments=self.get_comments()+[util.execution_stamp('Geom','flip')], + comments=self.comments+[util.execution_stamp('Geom','flip')], ) @@ -706,13 +677,13 @@ class Geom: """ return self.duplicate(ndimage.interpolation.zoom( self.microstructure, - grid/self.get_grid(), + grid/self.grid, output=self.microstructure.dtype, order=0, mode=('wrap' if periodic else 'nearest'), prefilter=False ), - comments=self.get_comments()+[util.execution_stamp('Geom','scale')], + comments=self.comments+[util.execution_stamp('Geom','scale')], ) @@ -745,18 +716,18 @@ class Geom: mode=('wrap' if periodic else 'nearest'), extra_keywords=dict(selection=selection), ).astype(self.microstructure.dtype), - comments=self.get_comments()+[util.execution_stamp('Geom','clean')], + comments=self.comments+[util.execution_stamp('Geom','clean')], ) def renumber(self): """Renumber sorted microstructure indices to 1,...,N.""" - renumbered = np.empty(self.get_grid(),dtype=self.microstructure.dtype) + renumbered = np.empty(self.grid,dtype=self.microstructure.dtype) for i, oldID in enumerate(np.unique(self.microstructure)): renumbered = np.where(self.microstructure == oldID, i+1, renumbered) return self.duplicate(renumbered, - comments=self.get_comments()+[util.execution_stamp('Geom','renumber')], + comments=self.comments+[util.execution_stamp('Geom','renumber')], ) @@ -776,7 +747,7 @@ class Geom: dtype = float if np.isnan(fill) or int(fill) != fill or self.microstructure.dtype==np.float else int Eulers = R.as_Eulers(degrees=True) - microstructure_in = self.get_microstructure() + microstructure_in = self.microstructure.copy() # These rotations are always applied in the reference coordinate system, i.e. (z,x,z) not (z,x',z'') # see https://www.cs.utexas.edu/~theshark/courses/cs354/lectures/cs354-14.pdf @@ -793,7 +764,7 @@ class Geom: return self.duplicate(microstructure_in, origin=origin, - comments=self.get_comments()+[util.execution_stamp('Geom','rotate')], + comments=self.comments+[util.execution_stamp('Geom','rotate')], autosize=True, ) @@ -827,7 +798,7 @@ class Geom: return self.duplicate(canvas, origin=self.origin+offset*self.size/self.grid, - comments=self.get_comments()+[util.execution_stamp('Geom','canvas')], + comments=self.comments+[util.execution_stamp('Geom','canvas')], autosize=True, ) @@ -844,12 +815,12 @@ class Geom: New microstructure indices. """ - substituted = self.get_microstructure() + substituted = self.microstructure.copy() for from_ms,to_ms in zip(from_microstructure,to_microstructure): substituted[self.microstructure==from_ms] = to_ms return self.duplicate(substituted, - comments=self.get_comments()+[util.execution_stamp('Geom','substitute')], + comments=self.comments+[util.execution_stamp('Geom','substitute')], ) @@ -896,5 +867,5 @@ class Geom: microstructure = np.ma.MaskedArray(self.microstructure + offset_, np.logical_not(mask)) return self.duplicate(microstructure, - comments=self.get_comments()+[util.execution_stamp('Geom','vicinity_offset')], + comments=self.comments+[util.execution_stamp('Geom','vicinity_offset')], ) diff --git a/python/tests/test_Geom.py b/python/tests/test_Geom.py index ff9c80057..f82272362 100644 --- a/python/tests/test_Geom.py +++ b/python/tests/test_Geom.py @@ -11,9 +11,9 @@ from damask import util def geom_equal(a,b): - return np.all(a.get_microstructure() == b.get_microstructure()) and \ - np.all(a.get_grid() == b.get_grid()) and \ - np.allclose(a.get_size(), b.get_size()) and \ + return np.all(a.microstructure == b.microstructure) and \ + np.all(a.grid == b.grid) and \ + np.allclose(a.size, b.size) and \ str(a.diff(b)) == str(b.diff(a)) @pytest.fixture @@ -39,9 +39,9 @@ class TestGeom: modified = default.duplicate() elif flavor == 'explicit': modified = default.duplicate( - default.get_microstructure(), - default.get_size(), - default.get_origin() + default.microstructure, + default.size, + default.origin ) print(modified) assert geom_equal(default,modified) @@ -57,7 +57,7 @@ class TestGeom: def test_set_inplace_outofplace_homogenization(self,default): default.set_homogenization(123,inplace=True) outofplace = default.set_homogenization(321,inplace=False) - assert default.get_homogenization() == 123 and outofplace.get_homogenization() == 321 + assert default.homogenization == 123 and outofplace.homogenization == 321 def test_set_inplace_outofplace_microstructure(self,default): @@ -69,18 +69,18 @@ class TestGeom: def test_set_inplace_outofplace_size(self,default): default.set_size(np.array([1,2,3]),inplace=True) outofplace = default.set_size(np.array([3,2,1]),inplace=False) - assert np.array_equal(default.get_size(),[1,2,3]) and np.array_equal(outofplace.get_size(),[3,2,1]) + assert np.array_equal(default.size,[1,2,3]) and np.array_equal(outofplace.size,[3,2,1]) def test_set_inplace_outofplace_comments(self,default): default.set_comments(['a','and','b'],inplace=True) outofplace = default.set_comments(['b','or','a'],inplace=False) - assert default.get_comments() == ['a','and','b'] and outofplace.get_comments() == ['b','or','a'] + assert default.comments == ['a','and','b'] and outofplace.comments == ['b','or','a'] @pytest.mark.parametrize('masked',[True,False]) def test_set_microstructure(self,default,masked): - old = default.get_microstructure() + old = default.microstructure new = np.random.randint(200,size=default.grid) default.set_microstructure(np.ma.MaskedArray(new,np.full_like(new,masked)),inplace=True) assert np.all(default.microstructure==(old if masked else new)) @@ -249,7 +249,7 @@ class TestGeom: modified) def test_renumber(self,default): - microstructure = default.get_microstructure() + microstructure = default.microstructure.copy() for m in np.unique(microstructure): microstructure[microstructure==m] = microstructure.max() + np.random.randint(1,30) modified = default.duplicate(microstructure) @@ -259,7 +259,7 @@ class TestGeom: def test_substitute(self,default): offset = np.random.randint(1,500) - modified = default.duplicate(default.get_microstructure() + offset) + modified = default.duplicate(default.microstructure + offset) assert not geom_equal(modified,default) assert geom_equal(default, modified.substitute(np.arange(default.microstructure.max())+1+offset, @@ -345,9 +345,9 @@ class TestGeom: @pytest.mark.parametrize('periodic',[True,False]) def test_vicinity_offset_invariant(self,default,periodic): - old = default.get_microstructure() - default.vicinity_offset(trigger=[old.max()+1,old.min()-1]) - assert np.all(old==default.microstructure) + offset = default.vicinity_offset(trigger=[default.microstructure.max()+1, + default.microstructure.min()-1]) + assert np.all(offset.microstructure==default.microstructure) @pytest.mark.parametrize('periodic',[True,False]) def test_tessellation_approaches(self,periodic): From e683cbef69dc9439d7b667d61f0cb8ad77f9c6eb Mon Sep 17 00:00:00 2001 From: Philip Eisenlohr Date: Mon, 21 Sep 2020 11:30:27 -0400 Subject: [PATCH 012/103] replaced a stray get_grid() in geom_grainGrowth --- processing/pre/geom_grainGrowth.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/processing/pre/geom_grainGrowth.py b/processing/pre/geom_grainGrowth.py index 0652d0583..ea9331317 100755 --- a/processing/pre/geom_grainGrowth.py +++ b/processing/pre/geom_grainGrowth.py @@ -64,7 +64,7 @@ for name in filenames: geom = damask.Geom.from_file(StringIO(''.join(sys.stdin.read())) if name is None else name) - grid_original = geom.get_grid() + grid_original = geom.grid damask.util.croak(geom) microstructure = np.tile(geom.microstructure,np.where(grid_original == 1, 2,1)) # make one copy along dimensions with grid == 1 grid = np.array(microstructure.shape) From 87ae2447b9cf76752d66870801875a33b89dfd11 Mon Sep 17 00:00:00 2001 From: Sharan Roongta Date: Tue, 22 Sep 2020 14:35:05 +0200 Subject: [PATCH 013/103] variable name = parameter name --- src/constitutive_plastic_disloTungsten.f90 | 64 +++++++++++----------- 1 file changed, 32 insertions(+), 32 deletions(-) diff --git a/src/constitutive_plastic_disloTungsten.f90 b/src/constitutive_plastic_disloTungsten.f90 index 2bf4fd48e..bef25f420 100644 --- a/src/constitutive_plastic_disloTungsten.f90 +++ b/src/constitutive_plastic_disloTungsten.f90 @@ -20,15 +20,15 @@ submodule(constitutive:constitutive_plastic) plastic_disloTungsten b_sl, & !< magnitude of burgers vector [m] D_a, & i_sl, & !< Adj. parameter for distance between 2 forest dislocations - atomicVolume, & !< factor to calculate atomic volume - tau_0, & !< Peierls stress + f_at, & !< factor to calculate atomic volume + tau_peierls, & !< Peierls stress !* mobility law parameters - delta_F, & !< activation energy for glide [J] - v0, & !< dislocation velocity prefactor [m/s] + Q_s, & !< activation energy for glide [J] + v_0, & !< dislocation velocity prefactor [m/s] p, & !< p-exponent in glide velocity q, & !< q-exponent in glide velocity B, & !< friction coefficient - kink_height, & !< height of the kink pair + h, & !< height of the kink pair w, & !< width of the kink pair omega !< attempt frequency for kink pair nucleation real(pReal), allocatable, dimension(:,:) :: & @@ -158,17 +158,17 @@ module function plastic_disloTungsten_init() result(myPlasticity) rho_mob_0 = pl%get_asFloats('rho_mob_0', requiredSize=size(N_sl)) rho_dip_0 = pl%get_asFloats('rho_dip_0', requiredSize=size(N_sl)) - prm%v0 = pl%get_asFloats('v_0', requiredSize=size(N_sl)) + prm%v_0 = pl%get_asFloats('v_0', requiredSize=size(N_sl)) prm%b_sl = pl%get_asFloats('b_sl', requiredSize=size(N_sl)) - prm%delta_F = pl%get_asFloats('Q_s', requiredSize=size(N_sl)) + prm%Q_s = pl%get_asFloats('Q_s', requiredSize=size(N_sl)) prm%i_sl = pl%get_asFloats('i_sl', requiredSize=size(N_sl)) - prm%tau_0 = pl%get_asFloats('tau_peierls', requiredSize=size(N_sl)) + prm%tau_peierls = pl%get_asFloats('tau_peierls', requiredSize=size(N_sl)) prm%p = pl%get_asFloats('p_sl', requiredSize=size(N_sl), & defaultVal=[(1.0_pReal,i=1,size(N_sl))]) prm%q = pl%get_asFloats('q_sl', requiredSize=size(N_sl), & defaultVal=[(1.0_pReal,i=1,size(N_sl))]) - prm%kink_height = pl%get_asFloats('h', requiredSize=size(N_sl)) + prm%h = pl%get_asFloats('h', requiredSize=size(N_sl)) prm%w = pl%get_asFloats('w', requiredSize=size(N_sl)) prm%omega = pl%get_asFloats('omega', requiredSize=size(N_sl)) prm%B = pl%get_asFloats('B', requiredSize=size(N_sl)) @@ -176,7 +176,7 @@ module function plastic_disloTungsten_init() result(myPlasticity) prm%D = pl%get_asFloat('D') prm%D_0 = pl%get_asFloat('D_0') prm%Q_cl = pl%get_asFloat('Q_cl') - prm%atomicVolume = pl%get_asFloat('f_at') * prm%b_sl**3.0_pReal + prm%f_at = pl%get_asFloat('f_at') * prm%b_sl**3.0_pReal prm%D_a = pl%get_asFloat('D_a') * prm%b_sl prm%dipoleformation = pl%get_asBool('dipole_formation_factor', defaultVal = .true.) @@ -186,16 +186,16 @@ module function plastic_disloTungsten_init() result(myPlasticity) rho_dip_0 = math_expand(rho_dip_0, N_sl) prm%q = math_expand(prm%q, N_sl) prm%p = math_expand(prm%p, N_sl) - prm%delta_F = math_expand(prm%delta_F, N_sl) + prm%Q_s = math_expand(prm%Q_s, N_sl) prm%b_sl = math_expand(prm%b_sl, N_sl) - prm%kink_height = math_expand(prm%kink_height, N_sl) + prm%h = math_expand(prm%h, N_sl) prm%w = math_expand(prm%w, N_sl) prm%omega = math_expand(prm%omega, N_sl) - prm%tau_0 = math_expand(prm%tau_0, N_sl) - prm%v0 = math_expand(prm%v0, N_sl) + prm%tau_peierls = math_expand(prm%tau_peierls, N_sl) + prm%v_0 = math_expand(prm%v_0, N_sl) prm%B = math_expand(prm%B, N_sl) prm%i_sl = math_expand(prm%i_sl, N_sl) - prm%atomicVolume = math_expand(prm%atomicVolume, N_sl) + prm%f_at = math_expand(prm%f_at, N_sl) prm%D_a = math_expand(prm%D_a, N_sl) ! sanity checks @@ -203,17 +203,17 @@ module function plastic_disloTungsten_init() result(myPlasticity) if ( prm%Q_cl <= 0.0_pReal) extmsg = trim(extmsg)//' Q_cl' if (any(rho_mob_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_mob_0' if (any(rho_dip_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_dip_0' - if (any(prm%v0 < 0.0_pReal)) extmsg = trim(extmsg)//' v_0' + if (any(prm%v_0 < 0.0_pReal)) extmsg = trim(extmsg)//' v_0' if (any(prm%b_sl <= 0.0_pReal)) extmsg = trim(extmsg)//' b_sl' - if (any(prm%delta_F <= 0.0_pReal)) extmsg = trim(extmsg)//' Q_s' - if (any(prm%tau_0 < 0.0_pReal)) extmsg = trim(extmsg)//' tau_peierls' + if (any(prm%Q_s <= 0.0_pReal)) extmsg = trim(extmsg)//' Q_s' + if (any(prm%tau_peierls < 0.0_pReal)) extmsg = trim(extmsg)//' tau_peierls' if (any(prm%D_a <= 0.0_pReal)) extmsg = trim(extmsg)//' D_a or b_sl' - if (any(prm%atomicVolume <= 0.0_pReal)) extmsg = trim(extmsg)//' f_at or b_sl' + if (any(prm%f_at <= 0.0_pReal)) extmsg = trim(extmsg)//' f_at or b_sl' else slipActive rho_mob_0= emptyRealArray; rho_dip_0 = emptyRealArray - allocate(prm%b_sl,prm%D_a,prm%i_sl,prm%atomicVolume,prm%tau_0, & - prm%delta_F,prm%v0,prm%p,prm%q,prm%B,prm%kink_height,prm%w,prm%omega, & + allocate(prm%b_sl,prm%D_a,prm%i_sl,prm%f_at,prm%tau_peierls, & + prm%Q_s,prm%v_0,prm%p,prm%q,prm%B,prm%h,prm%w,prm%omega, & source = emptyRealArray) allocate(prm%forestProjection(0,0)) allocate(prm%h_sl_sl (0,0)) @@ -354,7 +354,7 @@ module subroutine plastic_disloTungsten_dotState(Mp,T,instance,of) dot_rho_dip_formation = merge(2.0_pReal*dip_distance* stt%rho_mob(:,of)*abs(dot%gamma_sl(:,of))/prm%b_sl, & ! ToDo: ignore region of spontaneous annihilation 0.0_pReal, & prm%dipoleformation) - v_cl = (3.0_pReal*prm%mu*VacancyDiffusion*prm%atomicVolume/(2.0_pReal*pi*kB*T)) & + v_cl = (3.0_pReal*prm%mu*VacancyDiffusion*prm%f_at/(2.0_pReal*pi*kB*T)) & * (1.0_pReal/(dip_distance+prm%D_a)) dot_rho_dip_climb = (4.0_pReal*v_cl*stt%rho_dip(:,of))/(dip_distance-prm%D_a) ! ToDo: Discuss with Franz: Stress dependency? end where @@ -477,12 +477,12 @@ pure subroutine kinetics(Mp,T,instance,of, & if (present(tau_pos_out)) tau_pos_out = tau_pos if (present(tau_neg_out)) tau_neg_out = tau_neg - associate(BoltzmannRatio => prm%delta_F/(kB*T), & - dot_gamma_0 => stt%rho_mob(:,of)*prm%b_sl*prm%v0, & + associate(BoltzmannRatio => prm%Q_s/(kB*T), & + dot_gamma_0 => stt%rho_mob(:,of)*prm%b_sl*prm%v_0, & effectiveLength => dst%Lambda_sl(:,of) - prm%w) significantPositiveTau: where(abs(tau_pos)-dst%threshold_stress(:,of) > tol_math_check) - StressRatio = (abs(tau_pos)-dst%threshold_stress(:,of))/prm%tau_0 + StressRatio = (abs(tau_pos)-dst%threshold_stress(:,of))/prm%tau_peierls StressRatio_p = StressRatio** prm%p StressRatio_pminus1 = StressRatio**(prm%p-1.0_pReal) needsGoodName = exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q) @@ -490,7 +490,7 @@ pure subroutine kinetics(Mp,T,instance,of, & t_n = prm%b_sl/(needsGoodName*prm%omega*effectiveLength) t_k = effectiveLength * prm%B /(2.0_pReal*prm%b_sl*tau_pos) - vel = prm%kink_height/(t_n + t_k) + vel = prm%h/(t_n + t_k) dot_gamma_pos = dot_gamma_0 * sign(vel,tau_pos) * 0.5_pReal else where significantPositiveTau @@ -500,10 +500,10 @@ pure subroutine kinetics(Mp,T,instance,of, & if (present(ddot_gamma_dtau_pos)) then significantPositiveTau2: where(abs(tau_pos)-dst%threshold_stress(:,of) > tol_math_check) dtn = -1.0_pReal * t_n * BoltzmannRatio * prm%p * prm%q * (1.0_pReal-StressRatio_p)**(prm%q - 1.0_pReal) & - * (StressRatio)**(prm%p - 1.0_pReal) / prm%tau_0 + * (StressRatio)**(prm%p - 1.0_pReal) / prm%tau_peierls dtk = -1.0_pReal * t_k / tau_pos - dvel = -1.0_pReal * prm%kink_height * (dtk + dtn) / (t_n + t_k)**2.0_pReal + dvel = -1.0_pReal * prm%h * (dtk + dtn) / (t_n + t_k)**2.0_pReal ddot_gamma_dtau_pos = dot_gamma_0 * dvel* 0.5_pReal else where significantPositiveTau2 @@ -512,7 +512,7 @@ pure subroutine kinetics(Mp,T,instance,of, & endif significantNegativeTau: where(abs(tau_neg)-dst%threshold_stress(:,of) > tol_math_check) - StressRatio = (abs(tau_neg)-dst%threshold_stress(:,of))/prm%tau_0 + StressRatio = (abs(tau_neg)-dst%threshold_stress(:,of))/prm%tau_peierls StressRatio_p = StressRatio** prm%p StressRatio_pminus1 = StressRatio**(prm%p-1.0_pReal) needsGoodName = exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q) @@ -520,7 +520,7 @@ pure subroutine kinetics(Mp,T,instance,of, & t_n = prm%b_sl/(needsGoodName*prm%omega*effectiveLength) t_k = effectiveLength * prm%B /(2.0_pReal*prm%b_sl*tau_pos) - vel = prm%kink_height/(t_n + t_k) + vel = prm%h/(t_n + t_k) dot_gamma_neg = dot_gamma_0 * sign(vel,tau_neg) * 0.5_pReal else where significantNegativeTau @@ -530,10 +530,10 @@ pure subroutine kinetics(Mp,T,instance,of, & if (present(ddot_gamma_dtau_neg)) then significantNegativeTau2: where(abs(tau_neg)-dst%threshold_stress(:,of) > tol_math_check) dtn = -1.0_pReal * t_n * BoltzmannRatio * prm%p * prm%q * (1.0_pReal-StressRatio_p)**(prm%q - 1.0_pReal) & - * (StressRatio)**(prm%p - 1.0_pReal) / prm%tau_0 + * (StressRatio)**(prm%p - 1.0_pReal) / prm%tau_peierls dtk = -1.0_pReal * t_k / tau_neg - dvel = -1.0_pReal * prm%kink_height * (dtk + dtn) / (t_n + t_k)**2.0_pReal + dvel = -1.0_pReal * prm%h * (dtk + dtn) / (t_n + t_k)**2.0_pReal ddot_gamma_dtau_neg = dot_gamma_0 * dvel * 0.5_pReal else where significantNegativeTau2 From 8f3bb82b27e8e7c1a3598e98446edaea4aaeb9d3 Mon Sep 17 00:00:00 2001 From: Sharan Roongta Date: Tue, 22 Sep 2020 15:02:24 +0200 Subject: [PATCH 014/103] continue with parameter name change Names with conflicts not changed yet --- src/constitutive_plastic_dislotwin.f90 | 132 ++++++++++++------------- src/constitutive_plastic_isotropic.f90 | 6 +- 2 files changed, 69 insertions(+), 69 deletions(-) diff --git a/src/constitutive_plastic_dislotwin.f90 b/src/constitutive_plastic_dislotwin.f90 index a25815899..0a14c64e1 100644 --- a/src/constitutive_plastic_dislotwin.f90 +++ b/src/constitutive_plastic_dislotwin.f90 @@ -16,38 +16,38 @@ submodule(constitutive:constitutive_plastic) plastic_dislotwin real(pReal) :: & mu = 1.0_pReal, & !< equivalent shear modulus nu = 1.0_pReal, & !< equivalent shear Poisson's ratio - D0 = 1.0_pReal, & !< prefactor for self-diffusion coefficient - Qsd = 1.0_pReal, & !< activation energy for dislocation climb + D_0 = 1.0_pReal, & !< prefactor for self-diffusion coefficient + Q_cl = 1.0_pReal, & !< activation energy for dislocation climb omega = 1.0_pReal, & !< frequency factor for dislocation climb D = 1.0_pReal, & !< grain size p_sb = 1.0_pReal, & !< p-exponent in shear band velocity q_sb = 1.0_pReal, & !< q-exponent in shear band velocity - CEdgeDipMinDistance = 1.0_pReal, & !< adjustment parameter to calculate minimum dipole distance + D_a = 1.0_pReal, & !< adjustment parameter to calculate minimum dipole distance i_tw = 1.0_pReal, & !< adjustment parameter to calculate MFP for twinning tau_0 = 1.0_pReal, & !< strength due to elements in solid solution L_tw = 1.0_pReal, & !< Length of twin nuclei in Burgers vectors L_tr = 1.0_pReal, & !< Length of trans nuclei in Burgers vectors - xc_twin = 1.0_pReal, & !< critical distance for formation of twin nucleus - xc_trans = 1.0_pReal, & !< critical distance for formation of trans nucleus + x_c_tw = 1.0_pReal, & !< critical distance for formation of twin nucleus + x_c_tr = 1.0_pReal, & !< critical distance for formation of trans nucleus V_cs = 1.0_pReal, & !< cross slip volume - sbResistance = 1.0_pReal, & !< value for shearband resistance - sbVelocity = 1.0_pReal, & !< value for shearband velocity_0 + xi_sb = 1.0_pReal, & !< value for shearband resistance + v_sb = 1.0_pReal, & !< value for shearband velocity_0 E_sb = 1.0_pReal, & !< activation energy for shear bands - SFE_0K = 1.0_pReal, & !< stacking fault energy at zero K - dSFE_dT = 1.0_pReal, & !< temperature dependence of stacking fault energy - gamma_fcc_hex = 1.0_pReal, & !< Free energy difference between austensite and martensite + Gamma_sf_0K = 1.0_pReal, & !< stacking fault energy at zero K + dGamma_sf_dT = 1.0_pReal, & !< temperature dependence of stacking fault energy + delta_G = 1.0_pReal, & !< Free energy difference between austensite and martensite i_tr = 1.0_pReal, & !< adjustment parameter to calculate MFP for transformation h = 1.0_pReal !< Stack height of hex nucleus real(pReal), allocatable, dimension(:) :: & b_sl, & !< absolute length of burgers vector [m] for each slip system b_tw, & !< absolute length of burgers vector [m] for each twin system b_tr, & !< absolute length of burgers vector [m] for each transformation system - Delta_F,& !< activation energy for glide [J] for each slip system - v0, & !< dislocation velocity prefactor [m/s] for each slip system + Q_s,& !< activation energy for glide [J] for each slip system + v_0, & !< dislocation velocity prefactor [m/s] for each slip system dot_N_0_tw, & !< twin nucleation rate [1/m³s] for each twin system dot_N_0_tr, & !< trans nucleation rate [1/m³s] for each trans system t_tw, & !< twin thickness [m] for each twin system - CLambdaSlip, & !< Adj. parameter for distance between 2 forest dislocations for each slip system + i_sl, & !< Adj. parameter for distance between 2 forest dislocations for each slip system t_tr, & !< martensite lamellar thickness [m] for each trans system and instance p, & !< p-exponent in glide velocity q, & !< q-exponent in glide velocity @@ -209,23 +209,23 @@ module function plastic_dislotwin_init() result(myPlasticity) rho_mob_0 = pl%get_asFloats('rho_mob_0', requiredSize=size(N_sl)) rho_dip_0 = pl%get_asFloats('rho_dip_0', requiredSize=size(N_sl)) - prm%v0 = pl%get_asFloats('v_0', requiredSize=size(N_sl)) - prm%b_sl = pl%get_asFloats('b_sl', requiredSize=size(N_sl)) - prm%Delta_F = pl%get_asFloats('Q_s', requiredSize=size(N_sl)) - prm%CLambdaSlip = pl%get_asFloats('i_sl', requiredSize=size(N_sl)) - prm%p = pl%get_asFloats('p_sl', requiredSize=size(N_sl)) - prm%q = pl%get_asFloats('q_sl', requiredSize=size(N_sl)) - prm%B = pl%get_asFloats('B', requiredSize=size(N_sl), & + prm%v_0 = pl%get_asFloats('v_0', requiredSize=size(N_sl)) + prm%b_sl = pl%get_asFloats('b_sl', requiredSize=size(N_sl)) + prm%Q_s = pl%get_asFloats('Q_s', requiredSize=size(N_sl)) + prm%i_sl = pl%get_asFloats('i_sl', requiredSize=size(N_sl)) + prm%p = pl%get_asFloats('p_sl', requiredSize=size(N_sl)) + prm%q = pl%get_asFloats('q_sl', requiredSize=size(N_sl)) + prm%B = pl%get_asFloats('B', requiredSize=size(N_sl), & defaultVal=[(0.0_pReal, i=1,size(N_sl))]) prm%tau_0 = pl%get_asFloat('tau_0') - prm%CEdgeDipMinDistance = pl%get_asFloat('D_a') - prm%D0 = pl%get_asFloat('D_0') - prm%Qsd = pl%get_asFloat('Q_cl') + prm%D_a = pl%get_asFloat('D_a') + prm%D_0 = pl%get_asFloat('D_0') + prm%Q_cl = pl%get_asFloat('Q_cl') prm%ExtendedDislocations = pl%get_asBool('extend_dislocations',defaultVal = .false.) if (prm%ExtendedDislocations) then - prm%SFE_0K = pl%get_asFloat('Gamma_sf_0K') - prm%dSFE_dT = pl%get_asFloat('dGamma_sf_dT') + prm%Gamma_sf_0K = pl%get_asFloat('Gamma_sf_0K') + prm%dGamma_sf_dT = pl%get_asFloat('dGamma_sf_dT') endif prm%dipoleformation = .not. pl%get_asBool('no_dipole_formation',defaultVal = .false.) @@ -238,29 +238,29 @@ module function plastic_dislotwin_init() result(myPlasticity) ! expand: family => system rho_mob_0 = math_expand(rho_mob_0, N_sl) rho_dip_0 = math_expand(rho_dip_0, N_sl) - prm%v0 = math_expand(prm%v0, N_sl) + prm%v_0 = math_expand(prm%v_0, N_sl) prm%b_sl = math_expand(prm%b_sl, N_sl) - prm%Delta_F = math_expand(prm%Delta_F, N_sl) - prm%CLambdaSlip = math_expand(prm%CLambdaSlip, N_sl) + prm%Q_s = math_expand(prm%Q_s, N_sl) + prm%i_sl = math_expand(prm%i_sl, N_sl) prm%p = math_expand(prm%p, N_sl) prm%q = math_expand(prm%q, N_sl) prm%B = math_expand(prm%B, N_sl) ! sanity checks - if ( prm%D0 <= 0.0_pReal) extmsg = trim(extmsg)//' D_0' - if ( prm%Qsd <= 0.0_pReal) extmsg = trim(extmsg)//' Q_cl' - if (any(rho_mob_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_mob_0' - if (any(rho_dip_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_dip_0' - if (any(prm%v0 < 0.0_pReal)) extmsg = trim(extmsg)//' v_0' - if (any(prm%b_sl <= 0.0_pReal)) extmsg = trim(extmsg)//' b_sl' - if (any(prm%Delta_F <= 0.0_pReal)) extmsg = trim(extmsg)//' Q_s' - if (any(prm%CLambdaSlip <= 0.0_pReal)) extmsg = trim(extmsg)//' i_sl' - if (any(prm%B < 0.0_pReal)) extmsg = trim(extmsg)//' B' - if (any(prm%p<=0.0_pReal .or. prm%p>1.0_pReal)) extmsg = trim(extmsg)//' p_sl' - if (any(prm%q< 1.0_pReal .or. prm%q>2.0_pReal)) extmsg = trim(extmsg)//' q_sl' + if ( prm%D_0 <= 0.0_pReal) extmsg = trim(extmsg)//' D_0' + if ( prm%Q_cl <= 0.0_pReal) extmsg = trim(extmsg)//' Q_cl' + if (any(rho_mob_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_mob_0' + if (any(rho_dip_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_dip_0' + if (any(prm%v_0 < 0.0_pReal)) extmsg = trim(extmsg)//' v_0' + if (any(prm%b_sl <= 0.0_pReal)) extmsg = trim(extmsg)//' b_sl' + if (any(prm%Q_s <= 0.0_pReal)) extmsg = trim(extmsg)//' Q_s' + if (any(prm%i_sl <= 0.0_pReal)) extmsg = trim(extmsg)//' i_sl' + if (any(prm%B < 0.0_pReal)) extmsg = trim(extmsg)//' B' + if (any(prm%p<=0.0_pReal .or. prm%p>1.0_pReal)) extmsg = trim(extmsg)//' p_sl' + if (any(prm%q< 1.0_pReal .or. prm%q>2.0_pReal)) extmsg = trim(extmsg)//' q_sl' else slipActive rho_mob_0 = emptyRealArray; rho_dip_0 = emptyRealArray - allocate(prm%b_sl,prm%Delta_F,prm%v0,prm%CLambdaSlip,prm%p,prm%q,prm%B,source=emptyRealArray) + allocate(prm%b_sl,prm%Q_s,prm%v_0,prm%i_sl,prm%p,prm%q,prm%B,source=emptyRealArray) allocate(prm%forestProjection(0,0),prm%h_sl_sl(0,0)) endif slipActive @@ -279,7 +279,7 @@ module function plastic_dislotwin_init() result(myPlasticity) prm%t_tw = pl%get_asFloats('t_tw', requiredSize=size(N_tw)) prm%r = pl%get_asFloats('p_tw', requiredSize=size(N_tw)) - prm%xc_twin = pl%get_asFloat('x_c_tw') + prm%x_c_tw = pl%get_asFloat('x_c_tw') prm%L_tw = pl%get_asFloat('L_tw') prm%i_tw = pl%get_asFloat('i_tw') @@ -300,7 +300,7 @@ module function plastic_dislotwin_init() result(myPlasticity) prm%r = math_expand(prm%r,N_tw) ! sanity checks - if ( prm%xc_twin < 0.0_pReal) extmsg = trim(extmsg)//' x_c_twin' + if ( prm%x_c_tw < 0.0_pReal) extmsg = trim(extmsg)//' x_c_twin' if ( prm%L_tw < 0.0_pReal) extmsg = trim(extmsg)//' L_tw' if ( prm%i_tw < 0.0_pReal) extmsg = trim(extmsg)//' i_tw' if (any(prm%b_tw < 0.0_pReal)) extmsg = trim(extmsg)//' b_tw' @@ -324,8 +324,8 @@ module function plastic_dislotwin_init() result(myPlasticity) prm%h = pl%get_asFloat('h', defaultVal=0.0_pReal) ! ToDo: How to handle that??? prm%i_tr = pl%get_asFloat('i_tr', defaultVal=0.0_pReal) ! ToDo: How to handle that??? - prm%gamma_fcc_hex = pl%get_asFloat('delta_G') - prm%xc_trans = pl%get_asFloat('x_c_tr', defaultVal=0.0_pReal) ! ToDo: How to handle that??? + prm%delta_G = pl%get_asFloat('delta_G') + prm%x_c_tr = pl%get_asFloat('x_c_tr', defaultVal=0.0_pReal) ! ToDo: How to handle that??? prm%L_tr = pl%get_asFloat('L_tr') prm%h_tr_tr = lattice_interaction_TransByTrans(N_tr,pl%get_asFloats('h_tr_tr'), & @@ -351,7 +351,7 @@ module function plastic_dislotwin_init() result(myPlasticity) prm%s = math_expand(prm%s,N_tr) ! sanity checks - if ( prm%xc_trans < 0.0_pReal) extmsg = trim(extmsg)//' x_c_trans' + if ( prm%x_c_tr < 0.0_pReal) extmsg = trim(extmsg)//' x_c_trans' if ( prm%L_tr < 0.0_pReal) extmsg = trim(extmsg)//' L_tr' if ( prm%i_tr < 0.0_pReal) extmsg = trim(extmsg)//' i_tr' if (any(prm%t_tr < 0.0_pReal)) extmsg = trim(extmsg)//' t_tr' @@ -366,15 +366,15 @@ module function plastic_dislotwin_init() result(myPlasticity) !-------------------------------------------------------------------------------------------------- ! shearband related parameters - prm%sbVelocity = pl%get_asFloat('v_sb',defaultVal=0.0_pReal) - if (prm%sbVelocity > 0.0_pReal) then - prm%sbResistance = pl%get_asFloat('xi_sb') + prm%v_sb = pl%get_asFloat('v_sb',defaultVal=0.0_pReal) + if (prm%v_sb > 0.0_pReal) then + prm%xi_sb = pl%get_asFloat('xi_sb') prm%E_sb = pl%get_asFloat('Q_sb') prm%p_sb = pl%get_asFloat('p_sb') prm%q_sb = pl%get_asFloat('q_sb') ! sanity checks - if (prm%sbResistance < 0.0_pReal) extmsg = trim(extmsg)//' xi_sb' + if (prm%xi_sb < 0.0_pReal) extmsg = trim(extmsg)//' xi_sb' if (prm%E_sb < 0.0_pReal) extmsg = trim(extmsg)//' Q_sb' if (prm%p_sb <= 0.0_pReal) extmsg = trim(extmsg)//' p_sb' if (prm%q_sb <= 0.0_pReal) extmsg = trim(extmsg)//' q_sb' @@ -386,8 +386,8 @@ module function plastic_dislotwin_init() result(myPlasticity) prm%D = pl%get_asFloat('D') twinOrSlipActive: if (prm%sum_N_tw + prm%sum_N_tr > 0) then - prm%SFE_0K = pl%get_asFloat('Gamma_sf_0K') - prm%dSFE_dT = pl%get_asFloat('dGamma_sf_dT') + prm%Gamma_sf_0K = pl%get_asFloat('Gamma_sf_0K') + prm%dGamma_sf_dT = pl%get_asFloat('dGamma_sf_dT') prm%V_cs = pl%get_asFloat('V_cs') endif twinOrSlipActive @@ -602,7 +602,7 @@ module subroutine plastic_dislotwin_LpAndItsTangent(Lp,dLp_dMp,Mp,T,instance,of) Lp = Lp * f_unrotated dLp_dMp = dLp_dMp * f_unrotated - shearBandingContribution: if(dNeq0(prm%sbVelocity)) then + shearBandingContribution: if(dNeq0(prm%v_sb)) then BoltzmannRatio = prm%E_sb/(kB*T) call math_eigh33(eigValues,eigVectors,Mp) ! is Mp symmetric by design? @@ -613,10 +613,10 @@ module subroutine plastic_dislotwin_LpAndItsTangent(Lp,dLp_dMp,Mp,T,instance,of) tau = math_tensordot(Mp,P_sb) significantShearBandStress: if (abs(tau) > tol_math_check) then - StressRatio_p = (abs(tau)/prm%sbResistance)**prm%p_sb - dot_gamma_sb = sign(prm%sbVelocity*exp(-BoltzmannRatio*(1-StressRatio_p)**prm%q_sb), tau) - ddot_gamma_dtau = abs(dot_gamma_sb)*BoltzmannRatio* prm%p_sb*prm%q_sb/ prm%sbResistance & - * (abs(tau)/prm%sbResistance)**(prm%p_sb-1.0_pReal) & + StressRatio_p = (abs(tau)/prm%xi_sb)**prm%p_sb + dot_gamma_sb = sign(prm%v_sb*exp(-BoltzmannRatio*(1-StressRatio_p)**prm%q_sb), tau) + ddot_gamma_dtau = abs(dot_gamma_sb)*BoltzmannRatio* prm%p_sb*prm%q_sb/ prm%xi_sb & + * (abs(tau)/prm%xi_sb)**(prm%p_sb-1.0_pReal) & * (1.0_pReal-StressRatio_p)**(prm%q_sb-1.0_pReal) Lp = Lp + dot_gamma_sb * P_sb @@ -675,7 +675,7 @@ module subroutine plastic_dislotwin_dotState(Mp,T,instance,of) call kinetics_slip(Mp,T,instance,of,dot_gamma_sl) dot%gamma_sl(:,of) = abs(dot_gamma_sl) - rho_dip_distance_min = prm%CEdgeDipMinDistance*prm%b_sl + rho_dip_distance_min = prm%D_a*prm%b_sl slipState: do i = 1, prm%sum_N_sl tau = math_tensordot(Mp,prm%P_sl(1:3,1:3,i)) @@ -701,12 +701,12 @@ module subroutine plastic_dislotwin_dotState(Mp,T,instance,of) !@details: Refer: Argon & Moffat, Acta Metallurgica, Vol. 29, pg 293 to 299, 1981 sigma_cl = dot_product(prm%n0_sl(1:3,i),matmul(Mp,prm%n0_sl(1:3,i))) if (prm%ExtendedDislocations) then - Gamma = prm%SFE_0K + prm%dSFE_dT * T + Gamma = prm%Gamma_sf_0K + prm%dGamma_sf_dT * T b_d = 24.0_pReal*PI*(1.0_pReal - prm%nu)/(2.0_pReal + prm%nu)* Gamma/(prm%mu*prm%b_sl(i)) else b_d = 1.0_pReal endif - v_cl = 2.0_pReal*prm%omega*b_d**2.0_pReal*exp(-prm%Qsd/(kB*T)) & + v_cl = 2.0_pReal*prm%omega*b_d**2.0_pReal*exp(-prm%Q_cl/(kB*T)) & * (exp(abs(sigma_cl)*prm%b_sl(i)**3.0_pReal/(kB*T)) - 1.0_pReal) dot_rho_dip_climb(i) = 4.0_pReal*v_cl*stt%rho_dip(i,of) & @@ -768,7 +768,7 @@ module subroutine plastic_dislotwin_dependentState(T,instance,of) sumf_twin = sum(stt%f_tw(1:prm%sum_N_tw,of)) sumf_trans = sum(stt%f_tr(1:prm%sum_N_tr,of)) - Gamma = prm%SFE_0K + prm%dSFE_dT * T + Gamma = prm%Gamma_sf_0K + prm%dGamma_sf_dT * T !* rescaled volume fraction for topology f_over_t_tw = stt%f_tw(1:prm%sum_N_tw,of)/prm%t_tw ! this is per system ... @@ -776,7 +776,7 @@ module subroutine plastic_dislotwin_dependentState(T,instance,of) ! ToDo ...Physically correct, but naming could be adjusted inv_lambda_sl_sl = sqrt(matmul(prm%forestProjection, & - stt%rho_mob(:,of)+stt%rho_dip(:,of)))/prm%CLambdaSlip + stt%rho_mob(:,of)+stt%rho_dip(:,of)))/prm%i_sl if (prm%sum_N_tw > 0 .and. prm%sum_N_sl > 0) & inv_lambda_sl_tw = matmul(prm%h_sl_tw,f_over_t_tw)/(1.0_pReal-sumf_twin) @@ -809,17 +809,17 @@ module subroutine plastic_dislotwin_dependentState(T,instance,of) if(prm%sum_N_tr == prm%sum_N_sl) & dst%tau_hat_tr(:,of) = Gamma/(3.0_pReal*prm%b_tr) & + 3.0_pReal*prm%b_tr*prm%mu/(prm%L_tr*prm%b_sl) & ! slip burgers here correct? - + prm%h*prm%gamma_fcc_hex/ (3.0_pReal*prm%b_tr) + + prm%h*prm%delta_G/ (3.0_pReal*prm%b_tr) dst%V_tw(:,of) = (PI/4.0_pReal)*prm%t_tw*dst%Lambda_tw(:,of)**2.0_pReal dst%V_tr(:,of) = (PI/4.0_pReal)*prm%t_tr*dst%Lambda_tr(:,of)**2.0_pReal x0 = prm%mu*prm%b_tw**2.0_pReal/(Gamma*8.0_pReal*PI)*(2.0_pReal+prm%nu)/(1.0_pReal-prm%nu) ! ToDo: In the paper, this is the burgers vector for slip and is the same for twin and trans - dst%tau_r_tw(:,of) = prm%mu*prm%b_tw/(2.0_pReal*PI)*(1.0_pReal/(x0+prm%xc_twin)+cos(pi/3.0_pReal)/x0) + dst%tau_r_tw(:,of) = prm%mu*prm%b_tw/(2.0_pReal*PI)*(1.0_pReal/(x0+prm%x_c_tw)+cos(pi/3.0_pReal)/x0) x0 = prm%mu*prm%b_tr**2.0_pReal/(Gamma*8.0_pReal*PI)*(2.0_pReal+prm%nu)/(1.0_pReal-prm%nu) ! ToDo: In the paper, this is the burgers vector for slip - dst%tau_r_tr(:,of) = prm%mu*prm%b_tr/(2.0_pReal*PI)*(1.0_pReal/(x0+prm%xc_trans)+cos(pi/3.0_pReal)/x0) + dst%tau_r_tr(:,of) = prm%mu*prm%b_tr/(2.0_pReal*PI)*(1.0_pReal/(x0+prm%x_c_tr)+cos(pi/3.0_pReal)/x0) end associate @@ -927,8 +927,8 @@ pure subroutine kinetics_slip(Mp,T,instance,of, & significantStress: where(tau_eff > tol_math_check) stressRatio = tau_eff/prm%tau_0 StressRatio_p = stressRatio** prm%p - BoltzmannRatio = prm%Delta_F/(kB*T) - v_wait_inverse = prm%v0**(-1.0_pReal) * exp(BoltzmannRatio*(1.0_pReal-StressRatio_p)** prm%q) + BoltzmannRatio = prm%Q_s/(kB*T) + v_wait_inverse = prm%v_0**(-1.0_pReal) * exp(BoltzmannRatio*(1.0_pReal-StressRatio_p)** prm%q) v_run_inverse = prm%B/(tau_eff*prm%b_sl) dot_gamma_sl = sign(stt%rho_mob(:,of)*prm%b_sl/(v_wait_inverse+v_run_inverse),tau) diff --git a/src/constitutive_plastic_isotropic.f90 b/src/constitutive_plastic_isotropic.f90 index c78d497d6..102635801 100644 --- a/src/constitutive_plastic_isotropic.f90 +++ b/src/constitutive_plastic_isotropic.f90 @@ -14,7 +14,7 @@ submodule(constitutive:constitutive_plastic) plastic_isotropic M, & !< Taylor factor dot_gamma_0, & !< reference strain rate n, & !< stress exponent - h0, & + h_0, & h_ln, & xi_inf, & !< maximum critical stress a, & @@ -109,7 +109,7 @@ module function plastic_isotropic_init() result(myPlasticity) prm%xi_inf = pl%get_asFloat('xi_inf') prm%dot_gamma_0 = pl%get_asFloat('dot_gamma_0') prm%n = pl%get_asFloat('n') - prm%h0 = pl%get_asFloat('h_0') + prm%h_0 = pl%get_asFloat('h_0') prm%M = pl%get_asFloat('M') prm%h_ln = pl%get_asFloat('h_ln', defaultVal=0.0_pReal) prm%c_1 = pl%get_asFloat('c_1', defaultVal=0.0_pReal) @@ -310,7 +310,7 @@ module subroutine plastic_isotropic_dotState(Mp,instance,of) / prm%c_4 * (dot_gamma / prm%dot_gamma_0)**(1.0_pReal / prm%n) endif dot%xi(of) = dot_gamma & - * ( prm%h0 + prm%h_ln * log(dot_gamma) ) & + * ( prm%h_0 + prm%h_ln * log(dot_gamma) ) & * abs( 1.0_pReal - stt%xi(of)/xi_inf_star )**prm%a & * sign(1.0_pReal, 1.0_pReal - stt%xi(of)/xi_inf_star) else From ac54bd7eb5f38b005b8e7e75c6f48e119106d239 Mon Sep 17 00:00:00 2001 From: Sharan Roongta Date: Tue, 22 Sep 2020 15:26:34 +0200 Subject: [PATCH 015/103] extended to kinehardening --- src/constitutive_plastic_kinehardening.f90 | 78 +++++++++++----------- 1 file changed, 39 insertions(+), 39 deletions(-) diff --git a/src/constitutive_plastic_kinehardening.f90 b/src/constitutive_plastic_kinehardening.f90 index fe17b090e..9783f27ad 100644 --- a/src/constitutive_plastic_kinehardening.f90 +++ b/src/constitutive_plastic_kinehardening.f90 @@ -9,15 +9,15 @@ submodule(constitutive:constitutive_plastic) plastic_kinehardening type :: tParameters real(pReal) :: & - gdot0 = 1.0_pReal, & !< reference shear strain rate for slip - n = 1.0_pReal !< stress exponent for slip + n = 1.0_pReal, & !< stress exponent for slip + dot_gamma_0 = 1.0_pReal !< reference shear strain rate for slip real(pReal), allocatable, dimension(:) :: & - theta0, & !< initial hardening rate of forward stress for each slip - theta1, & !< asymptotic hardening rate of forward stress for each slip - theta0_b, & !< initial hardening rate of back stress for each slip - theta1_b, & !< asymptotic hardening rate of back stress for each slip - tau1, & - tau1_b + h_0_f, & !< initial hardening rate of forward stress for each slip + h_inf_f, & !< asymptotic hardening rate of forward stress for each slip + h_0_b, & !< initial hardening rate of back stress for each slip + h_inf_b, & !< asymptotic hardening rate of back stress for each slip + xi_inf_f, & + xi_inf_b real(pReal), allocatable, dimension(:,:) :: & interaction_slipslip !< slip resistance from slip activity real(pReal), allocatable, dimension(:,:,:) :: & @@ -137,38 +137,38 @@ module function plastic_kinehardening_init() result(myPlasticity) pl%get_asFloats('h_sl_sl'), & phase%get_asString('lattice')) - xi_0 = pl%get_asFloats('xi_0', requiredSize=size(N_sl)) - prm%tau1 = pl%get_asFloats('xi_inf_f', requiredSize=size(N_sl)) - prm%tau1_b = pl%get_asFloats('xi_inf_b', requiredSize=size(N_sl)) - prm%theta0 = pl%get_asFloats('h_0_f', requiredSize=size(N_sl)) - prm%theta1 = pl%get_asFloats('h_inf_f', requiredSize=size(N_sl)) - prm%theta0_b = pl%get_asFloats('h_0_b', requiredSize=size(N_sl)) - prm%theta1_b = pl%get_asFloats('h_inf_b', requiredSize=size(N_sl)) + xi_0 = pl%get_asFloats('xi_0', requiredSize=size(N_sl)) + prm%xi_inf_f = pl%get_asFloats('xi_inf_f', requiredSize=size(N_sl)) + prm%xi_inf_b = pl%get_asFloats('xi_inf_b', requiredSize=size(N_sl)) + prm%h_0_f = pl%get_asFloats('h_0_f', requiredSize=size(N_sl)) + prm%h_inf_f = pl%get_asFloats('h_inf_f', requiredSize=size(N_sl)) + prm%h_0_b = pl%get_asFloats('h_0_b', requiredSize=size(N_sl)) + prm%h_inf_b = pl%get_asFloats('h_inf_b', requiredSize=size(N_sl)) - prm%gdot0 = pl%get_asFloat('dot_gamma_0') - prm%n = pl%get_asFloat('n') + prm%dot_gamma_0 = pl%get_asFloat('dot_gamma_0') + prm%n = pl%get_asFloat('n') ! expand: family => system - xi_0 = math_expand(xi_0, N_sl) - prm%tau1 = math_expand(prm%tau1, N_sl) - prm%tau1_b = math_expand(prm%tau1_b, N_sl) - prm%theta0 = math_expand(prm%theta0, N_sl) - prm%theta1 = math_expand(prm%theta1, N_sl) - prm%theta0_b = math_expand(prm%theta0_b,N_sl) - prm%theta1_b = math_expand(prm%theta1_b,N_sl) + xi_0 = math_expand(xi_0, N_sl) + prm%xi_inf_f = math_expand(prm%xi_inf_f, N_sl) + prm%xi_inf_b = math_expand(prm%xi_inf_b, N_sl) + prm%h_0_f = math_expand(prm%h_0_f, N_sl) + prm%h_inf_f = math_expand(prm%h_inf_f, N_sl) + prm%h_0_b = math_expand(prm%h_0_b, N_sl) + prm%h_inf_b = math_expand(prm%h_inf_b, N_sl) !-------------------------------------------------------------------------------------------------- ! sanity checks - if ( prm%gdot0 <= 0.0_pReal) extmsg = trim(extmsg)//' dot_gamma_0' - if ( prm%n <= 0.0_pReal) extmsg = trim(extmsg)//' n' - if (any(xi_0 <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_0' - if (any(prm%tau1 <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_inf_f' - if (any(prm%tau1_b <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_inf_b' + if ( prm%dot_gamma_0 <= 0.0_pReal) extmsg = trim(extmsg)//' dot_gamma_0' + if ( prm%n <= 0.0_pReal) extmsg = trim(extmsg)//' n' + if (any(xi_0 <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_0' + if (any(prm%xi_inf_f <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_inf_f' + if (any(prm%xi_inf_b <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_inf_b' !ToDo: Any sensible checks for theta? else slipActive xi_0 = emptyRealArray - allocate(prm%tau1,prm%tau1_b,prm%theta0,prm%theta1,prm%theta0_b,prm%theta1_b,source=emptyRealArray) + allocate(prm%xi_inf_f,prm%xi_inf_b,prm%h_0_f,prm%h_inf_f,prm%h_0_b,prm%h_inf_b,source=emptyRealArray) allocate(prm%interaction_SlipSlip(0,0)) endif slipActive @@ -303,16 +303,16 @@ module subroutine plastic_kinehardening_dotState(Mp,instance,of) dot%crss(:,of) = matmul(prm%interaction_SlipSlip,dot%accshear(:,of)) & - * ( prm%theta1 & - + (prm%theta0 - prm%theta1 + prm%theta0*prm%theta1*sumGamma/prm%tau1) & - * exp(-sumGamma*prm%theta0/prm%tau1) & + * ( prm%h_inf_f & + + (prm%h_0_f - prm%h_inf_f + prm%h_0_f*prm%h_inf_f*sumGamma/prm%xi_inf_f) & + * exp(-sumGamma*prm%h_0_f/prm%xi_inf_f) & ) dot%crss_back(:,of) = stt%sense(:,of)*dot%accshear(:,of) * & - ( prm%theta1_b + & - (prm%theta0_b - prm%theta1_b & - + prm%theta0_b*prm%theta1_b/(prm%tau1_b+stt%chi0(:,of))*(stt%accshear(:,of)-stt%gamma0(:,of))& - ) *exp(-(stt%accshear(:,of)-stt%gamma0(:,of)) *prm%theta0_b/(prm%tau1_b+stt%chi0(:,of))) & + ( prm%h_inf_b + & + (prm%h_0_b - prm%h_inf_b & + + prm%h_0_b*prm%h_inf_b/(prm%xi_inf_b+stt%chi0(:,of))*(stt%accshear(:,of)-stt%gamma0(:,of))& + ) *exp(-(stt%accshear(:,of)-stt%gamma0(:,of)) *prm%h_0_b/(prm%xi_inf_b+stt%chi0(:,of))) & ) end associate @@ -442,14 +442,14 @@ pure subroutine kinetics(Mp,instance,of, & enddo where(dNeq0(tau_pos)) - gdot_pos = prm%gdot0 * merge(0.5_pReal,1.0_pReal, prm%nonSchmidActive) & ! 1/2 if non-Schmid active + gdot_pos = prm%dot_gamma_0 * merge(0.5_pReal,1.0_pReal, prm%nonSchmidActive) & ! 1/2 if non-Schmid active * sign(abs(tau_pos/stt%crss(:,of))**prm%n, tau_pos) else where gdot_pos = 0.0_pReal end where where(dNeq0(tau_neg)) - gdot_neg = prm%gdot0 * 0.5_pReal & ! only used if non-Schmid active, always 1/2 + gdot_neg = prm%dot_gamma_0 * 0.5_pReal & ! only used if non-Schmid active, always 1/2 * sign(abs(tau_neg/stt%crss(:,of))**prm%n, tau_neg) else where gdot_neg = 0.0_pReal From 711506df37e2117d11734140cba3c2c95e2f9af2 Mon Sep 17 00:00:00 2001 From: Sharan Roongta Date: Tue, 22 Sep 2020 16:04:14 +0200 Subject: [PATCH 016/103] extended to phenopower law --- src/constitutive_plastic_phenopowerlaw.f90 | 198 ++++++++++----------- 1 file changed, 99 insertions(+), 99 deletions(-) diff --git a/src/constitutive_plastic_phenopowerlaw.f90 b/src/constitutive_plastic_phenopowerlaw.f90 index b30a4d9df..669778007 100644 --- a/src/constitutive_plastic_phenopowerlaw.f90 +++ b/src/constitutive_plastic_phenopowerlaw.f90 @@ -8,28 +8,28 @@ submodule(constitutive:constitutive_plastic) plastic_phenopowerlaw type :: tParameters real(pReal) :: & - gdot0_slip = 1.0_pReal, & !< reference shear strain rate for slip - gdot0_twin = 1.0_pReal, & !< reference shear strain rate for twin - n_slip = 1.0_pReal, & !< stress exponent for slip - n_twin = 1.0_pReal, & !< stress exponent for twin - spr = 1.0_pReal, & !< push-up factor for slip saturation due to twinning - c_1 = 1.0_pReal, & - c_2 = 1.0_pReal, & - c_3 = 1.0_pReal, & - c_4 = 1.0_pReal, & - h0_SlipSlip = 1.0_pReal, & !< reference hardening slip - slip - h0_TwinSlip = 1.0_pReal, & !< reference hardening twin - slip - h0_TwinTwin = 1.0_pReal, & !< reference hardening twin - twin - a_slip = 1.0_pReal + dot_gamma_0_sl = 1.0_pReal, & !< reference shear strain rate for slip + dot_gamma_0_tw = 1.0_pReal, & !< reference shear strain rate for twin + n_sl = 1.0_pReal, & !< stress exponent for slip + n_tw = 1.0_pReal, & !< stress exponent for twin + f_sl_sat_tw = 1.0_pReal, & !< push-up factor for slip saturation due to twinning + c_1 = 1.0_pReal, & + c_2 = 1.0_pReal, & + c_3 = 1.0_pReal, & + c_4 = 1.0_pReal, & + h_0_sl_sl = 1.0_pReal, & !< reference hardening slip - slip + h_0_tw_sl = 1.0_pReal, & !< reference hardening twin - slip + h_0_tw_tw = 1.0_pReal, & !< reference hardening twin - twin + a_sl = 1.0_pReal real(pReal), allocatable, dimension(:) :: & - xi_slip_sat, & !< maximum critical shear stress for slip - H_int, & !< per family hardening activity (optional) - gamma_twin_char !< characteristic shear for twins + xi_inf_sl, & !< maximum critical shear stress for slip + h_int, & !< per family hardening activity (optional) + gamma_tw_char !< characteristic shear for twins real(pReal), allocatable, dimension(:,:) :: & - interaction_SlipSlip, & !< slip resistance from slip activity - interaction_SlipTwin, & !< slip resistance from twin activity - interaction_TwinSlip, & !< twin resistance from slip activity - interaction_TwinTwin !< twin resistance from twin activity + h_sl_sl, & !< slip resistance from slip activity + h_sl_tw, & !< slip resistance from twin activity + h_tw_sl, & !< twin resistance from slip activity + h_tw_tw !< twin resistance from twin activity real(pReal), allocatable, dimension(:,:,:) :: & P_sl, & P_tw, & @@ -78,8 +78,8 @@ module function plastic_phenopowerlaw_init() result(myPlasticity) integer, dimension(:), allocatable :: & N_sl, N_tw real(pReal), dimension(:), allocatable :: & - xi_slip_0, & !< initial critical shear stress for slip - xi_twin_0, & !< initial critical shear stress for twin + xi_0_sl, & !< initial critical shear stress for slip + xi_0_tw, & !< initial critical shear stress for twin a !< non-Schmid coefficients character(len=pStringLen) :: & extmsg = '' @@ -128,36 +128,36 @@ module function plastic_phenopowerlaw_init() result(myPlasticity) prm%nonSchmid_pos = prm%P_sl prm%nonSchmid_neg = prm%P_sl endif - prm%interaction_SlipSlip = lattice_interaction_SlipBySlip(N_sl, & - pl%get_asFloats('h_sl_sl'), & - phase%get_asString('lattice')) + prm%h_sl_sl = lattice_interaction_SlipBySlip(N_sl, & + pl%get_asFloats('h_sl_sl'), & + phase%get_asString('lattice')) - xi_slip_0 = pl%get_asFloats('xi_0_sl', requiredSize=size(N_sl)) - prm%xi_slip_sat = pl%get_asFloats('xi_inf_sl', requiredSize=size(N_sl)) - prm%H_int = pl%get_asFloats('h_int', requiredSize=size(N_sl), & - defaultVal=[(0.0_pReal,i=1,size(N_sl))]) + xi_0_sl = pl%get_asFloats('xi_0_sl', requiredSize=size(N_sl)) + prm%xi_inf_sl = pl%get_asFloats('xi_inf_sl', requiredSize=size(N_sl)) + prm%h_int = pl%get_asFloats('h_int', requiredSize=size(N_sl), & + defaultVal=[(0.0_pReal,i=1,size(N_sl))]) - prm%gdot0_slip = pl%get_asFloat('dot_gamma_0_sl') - prm%n_slip = pl%get_asFloat('n_sl') - prm%a_slip = pl%get_asFloat('a_sl') - prm%h0_SlipSlip = pl%get_asFloat('h_0_sl_sl') + prm%dot_gamma_0_sl = pl%get_asFloat('dot_gamma_0_sl') + prm%n_sl = pl%get_asFloat('n_sl') + prm%a_sl = pl%get_asFloat('a_sl') + prm%h_0_sl_sl = pl%get_asFloat('h_0_sl_sl') ! expand: family => system - xi_slip_0 = math_expand(xi_slip_0, N_sl) - prm%xi_slip_sat = math_expand(prm%xi_slip_sat,N_sl) - prm%H_int = math_expand(prm%H_int, N_sl) + xi_0_sl = math_expand(xi_0_sl, N_sl) + prm%xi_inf_sl = math_expand(prm%xi_inf_sl,N_sl) + prm%h_int = math_expand(prm%h_int, N_sl) ! sanity checks - if ( prm%gdot0_slip <= 0.0_pReal) extmsg = trim(extmsg)//' dot_gamma_0_sl' - if ( prm%a_slip <= 0.0_pReal) extmsg = trim(extmsg)//' a_sl' - if ( prm%n_slip <= 0.0_pReal) extmsg = trim(extmsg)//' n_sl' - if (any(xi_slip_0 <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_0_sl' - if (any(prm%xi_slip_sat <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_inf_sl' + if ( prm%dot_gamma_0_sl <= 0.0_pReal) extmsg = trim(extmsg)//' dot_gamma_0_sl' + if ( prm%a_sl <= 0.0_pReal) extmsg = trim(extmsg)//' a_sl' + if ( prm%n_sl <= 0.0_pReal) extmsg = trim(extmsg)//' n_sl' + if (any(xi_0_sl <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_0_sl' + if (any(prm%xi_inf_sl <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_inf_sl' else slipActive - xi_slip_0 = emptyRealArray - allocate(prm%xi_slip_sat,prm%H_int,source=emptyRealArray) - allocate(prm%interaction_SlipSlip(0,0)) + xi_0_sl = emptyRealArray + allocate(prm%xi_inf_sl,prm%h_int,source=emptyRealArray) + allocate(prm%h_sl_sl(0,0)) endif slipActive !-------------------------------------------------------------------------------------------------- @@ -165,52 +165,52 @@ module function plastic_phenopowerlaw_init() result(myPlasticity) N_tw = pl%get_asInts('N_tw', defaultVal=emptyIntArray) prm%sum_N_tw = sum(abs(N_tw)) twinActive: if (prm%sum_N_tw > 0) then - prm%P_tw = lattice_SchmidMatrix_twin(N_tw,phase%get_asString('lattice'),& - phase%get_asFloat('c/a',defaultVal=0.0_pReal)) - prm%interaction_TwinTwin = lattice_interaction_TwinByTwin(N_tw,& - pl%get_asFloats('h_tw_tw'), & - phase%get_asString('lattice')) - prm%gamma_twin_char = lattice_characteristicShear_twin(N_tw,phase%get_asString('lattice'),& - phase%get_asFloat('c/a',defaultVal=0.0_pReal)) + prm%P_tw = lattice_SchmidMatrix_twin(N_tw,phase%get_asString('lattice'),& + phase%get_asFloat('c/a',defaultVal=0.0_pReal)) + prm%h_tw_tw = lattice_interaction_TwinByTwin(N_tw,& + pl%get_asFloats('h_tw_tw'), & + phase%get_asString('lattice')) + prm%gamma_tw_char = lattice_characteristicShear_twin(N_tw,phase%get_asString('lattice'),& + phase%get_asFloat('c/a',defaultVal=0.0_pReal)) - xi_twin_0 = pl%get_asFloats('xi_0_tw',requiredSize=size(N_tw)) + xi_0_tw = pl%get_asFloats('xi_0_tw',requiredSize=size(N_tw)) - prm%c_1 = pl%get_asFloat('c_1',defaultVal=0.0_pReal) - prm%c_2 = pl%get_asFloat('c_2',defaultVal=1.0_pReal) - prm%c_3 = pl%get_asFloat('c_3',defaultVal=0.0_pReal) - prm%c_4 = pl%get_asFloat('c_4',defaultVal=0.0_pReal) - prm%gdot0_twin = pl%get_asFloat('dot_gamma_0_tw') - prm%n_twin = pl%get_asFloat('n_tw') - prm%spr = pl%get_asFloat('f_sl_sat_tw') - prm%h0_TwinTwin = pl%get_asFloat('h_0_tw_tw') + prm%c_1 = pl%get_asFloat('c_1',defaultVal=0.0_pReal) + prm%c_2 = pl%get_asFloat('c_2',defaultVal=1.0_pReal) + prm%c_3 = pl%get_asFloat('c_3',defaultVal=0.0_pReal) + prm%c_4 = pl%get_asFloat('c_4',defaultVal=0.0_pReal) + prm%dot_gamma_0_tw = pl%get_asFloat('dot_gamma_0_tw') + prm%n_tw = pl%get_asFloat('n_tw') + prm%f_sl_sat_tw = pl%get_asFloat('f_sl_sat_tw') + prm%h_0_tw_tw = pl%get_asFloat('h_0_tw_tw') ! expand: family => system - xi_twin_0 = math_expand(xi_twin_0,N_tw) + xi_0_tw = math_expand(xi_0_tw,N_tw) ! sanity checks - if (prm%gdot0_twin <= 0.0_pReal) extmsg = trim(extmsg)//' dot_gamma_0_tw' - if (prm%n_twin <= 0.0_pReal) extmsg = trim(extmsg)//' n_tw' + if (prm%dot_gamma_0_tw <= 0.0_pReal) extmsg = trim(extmsg)//' dot_gamma_0_tw' + if (prm%n_tw <= 0.0_pReal) extmsg = trim(extmsg)//' n_tw' else twinActive - xi_twin_0 = emptyRealArray - allocate(prm%gamma_twin_char,source=emptyRealArray) - allocate(prm%interaction_TwinTwin(0,0)) + xi_0_tw = emptyRealArray + allocate(prm%gamma_tw_char,source=emptyRealArray) + allocate(prm%h_tw_tw(0,0)) endif twinActive !-------------------------------------------------------------------------------------------------- ! slip-twin related parameters slipAndTwinActive: if (prm%sum_N_sl > 0 .and. prm%sum_N_tw > 0) then - prm%h0_TwinSlip = pl%get_asFloat('h_0_tw_sl') - prm%interaction_SlipTwin = lattice_interaction_SlipByTwin(N_sl,N_tw,& - pl%get_asFloats('h_sl_tw'), & - phase%get_asString('lattice')) - prm%interaction_TwinSlip = lattice_interaction_TwinBySlip(N_tw,N_sl,& - pl%get_asFloats('h_tw_sl'), & - phase%get_asString('lattice')) + prm%h_0_tw_sl = pl%get_asFloat('h_0_tw_sl') + prm%h_sl_tw = lattice_interaction_SlipByTwin(N_sl,N_tw,& + pl%get_asFloats('h_sl_tw'), & + phase%get_asString('lattice')) + prm%h_tw_sl = lattice_interaction_TwinBySlip(N_tw,N_sl,& + pl%get_asFloats('h_tw_sl'), & + phase%get_asString('lattice')) else slipAndTwinActive - allocate(prm%interaction_SlipTwin(prm%sum_N_sl,prm%sum_N_tw)) ! at least one dimension is 0 - allocate(prm%interaction_TwinSlip(prm%sum_N_tw,prm%sum_N_sl)) ! at least one dimension is 0 - prm%h0_TwinSlip = 0.0_pReal + allocate(prm%h_sl_tw(prm%sum_N_sl,prm%sum_N_tw)) ! at least one dimension is 0 + allocate(prm%h_tw_sl(prm%sum_N_tw,prm%sum_N_sl)) ! at least one dimension is 0 + prm%h_0_tw_sl = 0.0_pReal endif slipAndTwinActive !-------------------------------------------------------------------------------------------------- @@ -237,7 +237,7 @@ module function plastic_phenopowerlaw_init() result(myPlasticity) startIndex = 1 endIndex = prm%sum_N_sl stt%xi_slip => plasticState(p)%state (startIndex:endIndex,:) - stt%xi_slip = spread(xi_slip_0, 2, NipcMyPhase) + stt%xi_slip = spread(xi_0_sl, 2, NipcMyPhase) dot%xi_slip => plasticState(p)%dotState(startIndex:endIndex,:) plasticState(p)%atol(startIndex:endIndex) = pl%get_asFloat('atol_xi',defaultVal=1.0_pReal) if(any(plasticState(p)%atol(startIndex:endIndex) < 0.0_pReal)) extmsg = trim(extmsg)//' atol_xi' @@ -245,7 +245,7 @@ module function plastic_phenopowerlaw_init() result(myPlasticity) startIndex = endIndex + 1 endIndex = endIndex + prm%sum_N_tw stt%xi_twin => plasticState(p)%state (startIndex:endIndex,:) - stt%xi_twin = spread(xi_twin_0, 2, NipcMyPhase) + stt%xi_twin = spread(xi_0_tw, 2, NipcMyPhase) dot%xi_twin => plasticState(p)%dotState(startIndex:endIndex,:) plasticState(p)%atol(startIndex:endIndex) = pl%get_asFloat('atol_xi',defaultVal=1.0_pReal) if(any(plasticState(p)%atol(startIndex:endIndex) < 0.0_pReal)) extmsg = trim(extmsg)//' atol_xi' @@ -354,20 +354,20 @@ module subroutine plastic_phenopowerlaw_dotState(Mp,instance,of) associate(prm => param(instance), stt => state(instance), dot => dotState(instance)) sumGamma = sum(stt%gamma_slip(:,of)) - sumF = sum(stt%gamma_twin(:,of)/prm%gamma_twin_char) + sumF = sum(stt%gamma_twin(:,of)/prm%gamma_tw_char) !-------------------------------------------------------------------------------------------------- ! system-independent (nonlinear) prefactors to M_Xx (X influenced by x) matrices - c_SlipSlip = prm%h0_slipslip * (1.0_pReal + prm%c_1*sumF** prm%c_2) - c_TwinSlip = prm%h0_TwinSlip * sumGamma**prm%c_3 - c_TwinTwin = prm%h0_TwinTwin * sumF**prm%c_4 + c_SlipSlip = prm%h_0_sl_sl * (1.0_pReal + prm%c_1*sumF** prm%c_2) + c_TwinSlip = prm%h_0_tw_sl * sumGamma**prm%c_3 + c_TwinTwin = prm%h_0_tw_tw * sumF**prm%c_4 !-------------------------------------------------------------------------------------------------- ! calculate left and right vectors - left_SlipSlip = 1.0_pReal + prm%H_int - xi_slip_sat_offset = prm%spr*sqrt(sumF) - right_SlipSlip = abs(1.0_pReal-stt%xi_slip(:,of) / (prm%xi_slip_sat+xi_slip_sat_offset)) **prm%a_slip & - * sign(1.0_pReal,1.0_pReal-stt%xi_slip(:,of) / (prm%xi_slip_sat+xi_slip_sat_offset)) + left_SlipSlip = 1.0_pReal + prm%h_int + xi_slip_sat_offset = prm%f_sl_sat_tw*sqrt(sumF) + right_SlipSlip = abs(1.0_pReal-stt%xi_slip(:,of) / (prm%xi_inf_sl+xi_slip_sat_offset)) **prm%a_sl & + * sign(1.0_pReal,1.0_pReal-stt%xi_slip(:,of) / (prm%xi_inf_sl+xi_slip_sat_offset)) !-------------------------------------------------------------------------------------------------- ! shear rates @@ -378,11 +378,11 @@ module subroutine plastic_phenopowerlaw_dotState(Mp,instance,of) !-------------------------------------------------------------------------------------------------- ! hardening dot%xi_slip(:,of) = c_SlipSlip * left_SlipSlip * & - matmul(prm%interaction_SlipSlip,dot%gamma_slip(:,of)*right_SlipSlip) & - + matmul(prm%interaction_SlipTwin,dot%gamma_twin(:,of)) + matmul(prm%h_sl_sl,dot%gamma_slip(:,of)*right_SlipSlip) & + + matmul(prm%h_sl_tw,dot%gamma_twin(:,of)) - dot%xi_twin(:,of) = c_TwinSlip * matmul(prm%interaction_TwinSlip,dot%gamma_slip(:,of)) & - + c_TwinTwin * matmul(prm%interaction_TwinTwin,dot%gamma_twin(:,of)) + dot%xi_twin(:,of) = c_TwinSlip * matmul(prm%h_tw_sl,dot%gamma_slip(:,of)) & + + c_TwinTwin * matmul(prm%h_tw_tw,dot%gamma_twin(:,of)) end associate end subroutine plastic_phenopowerlaw_dotState @@ -460,29 +460,29 @@ pure subroutine kinetics_slip(Mp,instance,of, & enddo where(dNeq0(tau_slip_pos)) - gdot_slip_pos = prm%gdot0_slip * merge(0.5_pReal,1.0_pReal, prm%nonSchmidActive) & ! 1/2 if non-Schmid active - * sign(abs(tau_slip_pos/stt%xi_slip(:,of))**prm%n_slip, tau_slip_pos) + gdot_slip_pos = prm%dot_gamma_0_sl * merge(0.5_pReal,1.0_pReal, prm%nonSchmidActive) & ! 1/2 if non-Schmid active + * sign(abs(tau_slip_pos/stt%xi_slip(:,of))**prm%n_sl, tau_slip_pos) else where gdot_slip_pos = 0.0_pReal end where where(dNeq0(tau_slip_neg)) - gdot_slip_neg = prm%gdot0_slip * 0.5_pReal & ! only used if non-Schmid active, always 1/2 - * sign(abs(tau_slip_neg/stt%xi_slip(:,of))**prm%n_slip, tau_slip_neg) + gdot_slip_neg = prm%dot_gamma_0_sl * 0.5_pReal & ! only used if non-Schmid active, always 1/2 + * sign(abs(tau_slip_neg/stt%xi_slip(:,of))**prm%n_sl, tau_slip_neg) else where gdot_slip_neg = 0.0_pReal end where if (present(dgdot_dtau_slip_pos)) then where(dNeq0(gdot_slip_pos)) - dgdot_dtau_slip_pos = gdot_slip_pos*prm%n_slip/tau_slip_pos + dgdot_dtau_slip_pos = gdot_slip_pos*prm%n_sl/tau_slip_pos else where dgdot_dtau_slip_pos = 0.0_pReal end where endif if (present(dgdot_dtau_slip_neg)) then where(dNeq0(gdot_slip_neg)) - dgdot_dtau_slip_neg = gdot_slip_neg*prm%n_slip/tau_slip_neg + dgdot_dtau_slip_neg = gdot_slip_neg*prm%n_sl/tau_slip_neg else where dgdot_dtau_slip_neg = 0.0_pReal end where @@ -524,15 +524,15 @@ pure subroutine kinetics_twin(Mp,instance,of,& enddo where(tau_twin > 0.0_pReal) - gdot_twin = (1.0_pReal-sum(stt%gamma_twin(:,of)/prm%gamma_twin_char)) & ! only twin in untwinned volume fraction - * prm%gdot0_twin*(abs(tau_twin)/stt%xi_twin(:,of))**prm%n_twin + gdot_twin = (1.0_pReal-sum(stt%gamma_twin(:,of)/prm%gamma_tw_char)) & ! only twin in untwinned volume fraction + * prm%dot_gamma_0_tw*(abs(tau_twin)/stt%xi_twin(:,of))**prm%n_tw else where gdot_twin = 0.0_pReal end where if (present(dgdot_dtau_twin)) then where(dNeq0(gdot_twin)) - dgdot_dtau_twin = gdot_twin*prm%n_twin/tau_twin + dgdot_dtau_twin = gdot_twin*prm%n_tw/tau_twin else where dgdot_dtau_twin = 0.0_pReal end where From 0eef0cad0ceab400002e3e8216cd5a90a1a0dcae Mon Sep 17 00:00:00 2001 From: Sharan Roongta Date: Tue, 22 Sep 2020 18:11:09 +0200 Subject: [PATCH 017/103] all plastic laws covered --- src/constitutive_plastic_nonlocal.f90 | 358 +++++++++++++------------- 1 file changed, 179 insertions(+), 179 deletions(-) diff --git a/src/constitutive_plastic_nonlocal.f90 b/src/constitutive_plastic_nonlocal.f90 index c96301691..b4113a5c6 100644 --- a/src/constitutive_plastic_nonlocal.f90 +++ b/src/constitutive_plastic_nonlocal.f90 @@ -46,58 +46,58 @@ submodule(constitutive:constitutive_plastic) plastic_nonlocal type :: tInitialParameters !< container type for internal constitutive parameters real(pReal) :: & - rhoSglScatter, & !< standard deviation of scatter in initial dislocation density - rhoSglRandom, & - rhoSglRandomBinning + sigma_rho_u, & !< standard deviation of scatter in initial dislocation density + random_rho_u, & + random_rho_u_binning real(pReal), dimension(:), allocatable :: & - rhoSglEdgePos0, & !< initial edge_pos dislocation density - rhoSglEdgeNeg0, & !< initial edge_neg dislocation density - rhoSglScrewPos0, & !< initial screw_pos dislocation density - rhoSglScrewNeg0, & !< initial screw_neg dislocation density - rhoDipEdge0, & !< initial edge dipole dislocation density - rhoDipScrew0 !< initial screw dipole dislocation density + rho_u_ed_pos_0, & !< initial edge_pos dislocation density + rho_u_ed_neg_0, & !< initial edge_neg dislocation density + rho_u_sc_pos_0, & !< initial screw_pos dislocation density + rho_u_sc_neg_0, & !< initial screw_neg dislocation density + rho_d_ed_0, & !< initial edge dipole dislocation density + rho_d_sc_0 !< initial screw dipole dislocation density integer, dimension(:), allocatable :: & N_sl end type tInitialParameters type :: tParameters !< container type for internal constitutive parameters real(pReal) :: & - atomicVolume, & !< atomic volume - Dsd0, & !< prefactor for self-diffusion coefficient - selfDiffusionEnergy, & !< activation enthalpy for diffusion + V_at, & !< atomic volume + D_0, & !< prefactor for self-diffusion coefficient + Q_cl, & !< activation enthalpy for diffusion atol_rho, & !< absolute tolerance for dislocation density in state integration - significantRho, & !< density considered significant - significantN, & !< number of dislocations considered significant - doublekinkwidth, & !< width of a doubkle kink in multiples of the burgers vector length b - solidSolutionEnergy, & !< activation energy for solid solution in J - solidSolutionSize, & !< solid solution obstacle size in multiples of the burgers vector length - solidSolutionConcentration, & !< concentration of solid solution in atomic parts + rho_significant, & !< density considered significant + rho_num_significant, & !< number of dislocations considered significant + w, & !< width of a doubkle kink in multiples of the burgers vector length b + Q_sol, & !< activation energy for solid solution in J + f_sol, & !< solid solution obstacle size in multiples of the burgers vector length + c_sol, & !< concentration of solid solution in atomic parts p, & !< parameter for kinetic law (Kocks,Argon,Ashby) q, & !< parameter for kinetic law (Kocks,Argon,Ashby) - viscosity, & !< viscosity for dislocation glide in Pa s - fattack, & !< attack frequency in Hz - surfaceTransmissivity, & !< transmissivity at free surface - grainboundaryTransmissivity, & !< transmissivity at grain boundary (identified by different texture) - CFLfactor, & !< safety factor for CFL flux condition - fEdgeMultiplication, & !< factor that determines how much edge dislocations contribute to multiplication (0...1) - linetensionEffect, & - edgeJogFactor, & + eta, & !< viscosity for dislocation glide in Pa s + nu_a, & !< attack frequency in Hz + chi_surface, & !< transmissivity at free surface + chi_GB, & !< transmissivity at grain boundary (identified by different texture) + f_c, & !< safety factor for CFL flux condition + f_ed_mult, & !< factor that determines how much edge dislocations contribute to multiplication (0...1) + f_F, & + f_ed, & mu, & nu real(pReal), dimension(:), allocatable :: & - minDipoleHeight_edge, & !< minimum stable edge dipole height - minDipoleHeight_screw, & !< minimum stable screw dipole height - peierlsstress_edge, & - peierlsstress_screw, & - lambda0, & !< mean free path prefactor for each - burgers !< absolute length of burgers vector [m] + d_ed, & !< minimum stable edge dipole height + d_sc, & !< minimum stable screw dipole height + tau_peierls_ed, & + tau_peierls_sc, & + i_sl, & !< mean free path prefactor for each + b_sl !< absolute length of burgers vector [m] real(pReal), dimension(:,:), allocatable :: & slip_normal, & slip_direction, & slip_transverse, & minDipoleHeight, & ! edge and screw peierlsstress, & ! edge and screw - interactionSlipSlip ,& !< coefficients for slip-slip interaction + h_sl_sl ,& !< coefficients for slip-slip interaction forestProjection_Edge, & !< matrix of forest projections of edge dislocations forestProjection_Screw !< matrix of forest projections of screw dislocations real(pReal), dimension(:,:,:), allocatable :: & @@ -253,9 +253,9 @@ module function plastic_nonlocal_init() result(myPlasticity) prm%nonSchmid_neg = prm%Schmid endif - prm%interactionSlipSlip = lattice_interaction_SlipBySlip(ini%N_sl, & - pl%get_asFloats('h_sl_sl'), & - phase%get_asString('lattice')) + prm%h_sl_sl = lattice_interaction_SlipBySlip(ini%N_sl, & + pl%get_asFloats('h_sl_sl'), & + phase%get_asString('lattice')) prm%forestProjection_edge = lattice_forestProjection_edge (ini%N_sl,phase%get_asString('lattice'),& phase%get_asFloat('c/a',defaultVal=0.0_pReal)) @@ -279,113 +279,113 @@ module function plastic_nonlocal_init() result(myPlasticity) enddo enddo - ini%rhoSglEdgePos0 = pl%get_asFloats('rho_u_ed_pos_0', requiredSize=size(ini%N_sl)) - ini%rhoSglEdgeNeg0 = pl%get_asFloats('rho_u_ed_neg_0', requiredSize=size(ini%N_sl)) - ini%rhoSglScrewPos0 = pl%get_asFloats('rho_u_sc_pos_0', requiredSize=size(ini%N_sl)) - ini%rhoSglScrewNeg0 = pl%get_asFloats('rho_u_sc_neg_0', requiredSize=size(ini%N_sl)) - ini%rhoDipEdge0 = pl%get_asFloats('rho_d_ed_0', requiredSize=size(ini%N_sl)) - ini%rhoDipScrew0 = pl%get_asFloats('rho_d_sc_0', requiredSize=size(ini%N_sl)) + ini%rho_u_ed_pos_0 = pl%get_asFloats('rho_u_ed_pos_0', requiredSize=size(ini%N_sl)) + ini%rho_u_ed_neg_0 = pl%get_asFloats('rho_u_ed_neg_0', requiredSize=size(ini%N_sl)) + ini%rho_u_sc_pos_0 = pl%get_asFloats('rho_u_sc_pos_0', requiredSize=size(ini%N_sl)) + ini%rho_u_sc_neg_0 = pl%get_asFloats('rho_u_sc_neg_0', requiredSize=size(ini%N_sl)) + ini%rho_d_ed_0 = pl%get_asFloats('rho_d_ed_0', requiredSize=size(ini%N_sl)) + ini%rho_d_sc_0 = pl%get_asFloats('rho_d_sc_0', requiredSize=size(ini%N_sl)) - prm%lambda0 = pl%get_asFloats('i_sl', requiredSize=size(ini%N_sl)) - prm%burgers = pl%get_asFloats('b_sl', requiredSize=size(ini%N_sl)) + prm%i_sl = pl%get_asFloats('i_sl', requiredSize=size(ini%N_sl)) + prm%b_sl = pl%get_asFloats('b_sl', requiredSize=size(ini%N_sl)) - prm%lambda0 = math_expand(prm%lambda0,ini%N_sl) - prm%burgers = math_expand(prm%burgers,ini%N_sl) + prm%i_sl = math_expand(prm%i_sl,ini%N_sl) + prm%b_sl = math_expand(prm%b_sl,ini%N_sl) - prm%minDipoleHeight_edge = pl%get_asFloats('d_ed', requiredSize=size(ini%N_sl)) - prm%minDipoleHeight_screw = pl%get_asFloats('d_sc', requiredSize=size(ini%N_sl)) - prm%minDipoleHeight_edge = math_expand(prm%minDipoleHeight_edge, ini%N_sl) - prm%minDipoleHeight_screw = math_expand(prm%minDipoleHeight_screw,ini%N_sl) + prm%d_ed = pl%get_asFloats('d_ed', requiredSize=size(ini%N_sl)) + prm%d_sc = pl%get_asFloats('d_sc', requiredSize=size(ini%N_sl)) + prm%d_ed = math_expand(prm%d_ed,ini%N_sl) + prm%d_sc = math_expand(prm%d_sc,ini%N_sl) allocate(prm%minDipoleHeight(prm%sum_N_sl,2)) - prm%minDipoleHeight(:,1) = prm%minDipoleHeight_edge - prm%minDipoleHeight(:,2) = prm%minDipoleHeight_screw + prm%minDipoleHeight(:,1) = prm%d_ed + prm%minDipoleHeight(:,2) = prm%d_sc - prm%peierlsstress_edge = pl%get_asFloats('tau_peierls_ed', requiredSize=size(ini%N_sl)) - prm%peierlsstress_screw = pl%get_asFloats('tau_peierls_sc', requiredSize=size(ini%N_sl)) - prm%peierlsstress_edge = math_expand(prm%peierlsstress_edge, ini%N_sl) - prm%peierlsstress_screw = math_expand(prm%peierlsstress_screw,ini%N_sl) + prm%tau_peierls_ed = pl%get_asFloats('tau_peierls_ed', requiredSize=size(ini%N_sl)) + prm%tau_peierls_sc = pl%get_asFloats('tau_peierls_sc', requiredSize=size(ini%N_sl)) + prm%tau_peierls_ed = math_expand(prm%tau_peierls_ed,ini%N_sl) + prm%tau_peierls_sc = math_expand(prm%tau_peierls_sc,ini%N_sl) allocate(prm%peierlsstress(prm%sum_N_sl,2)) - prm%peierlsstress(:,1) = prm%peierlsstress_edge - prm%peierlsstress(:,2) = prm%peierlsstress_screw + prm%peierlsstress(:,1) = prm%tau_peierls_ed + prm%peierlsstress(:,2) = prm%tau_peierls_sc - prm%significantRho = pl%get_asFloat('rho_significant') - prm%significantN = pl%get_asFloat('rho_num_significant', 0.0_pReal) - prm%CFLfactor = pl%get_asFloat('f_c',defaultVal=2.0_pReal) + prm%rho_significant = pl%get_asFloat('rho_significant') + prm%rho_num_significant = pl%get_asFloat('rho_num_significant', 0.0_pReal) + prm%f_c = pl%get_asFloat('f_c',defaultVal=2.0_pReal) - prm%atomicVolume = pl%get_asFloat('V_at') - prm%Dsd0 = pl%get_asFloat('D_0') !,'dsd0' - prm%selfDiffusionEnergy = pl%get_asFloat('Q_cl') !,'qsd' - prm%linetensionEffect = pl%get_asFloat('f_F') - prm%edgeJogFactor = pl%get_asFloat('f_ed') !,'edgejogs' - prm%doublekinkwidth = pl%get_asFloat('w') - prm%solidSolutionEnergy = pl%get_asFloat('Q_sol') - prm%solidSolutionSize = pl%get_asFloat('f_sol') - prm%solidSolutionConcentration = pl%get_asFloat('c_sol') + prm%V_at = pl%get_asFloat('V_at') + prm%D_0 = pl%get_asFloat('D_0') !,'dsd0' + prm%Q_cl = pl%get_asFloat('Q_cl') !,'qsd' + prm%f_F = pl%get_asFloat('f_F') + prm%f_ed = pl%get_asFloat('f_ed') !,'edgejogs' + prm%w = pl%get_asFloat('w') + prm%Q_sol = pl%get_asFloat('Q_sol') + prm%f_sol = pl%get_asFloat('f_sol') + prm%c_sol = pl%get_asFloat('c_sol') - prm%p = pl%get_asFloat('p_sl') - prm%q = pl%get_asFloat('q_sl') - prm%viscosity = pl%get_asFloat('eta') - prm%fattack = pl%get_asFloat('nu_a') + prm%p = pl%get_asFloat('p_sl') + prm%q = pl%get_asFloat('q_sl') + prm%eta = pl%get_asFloat('eta') + prm%nu_a = pl%get_asFloat('nu_a') ! ToDo: discuss logic - ini%rhoSglScatter = pl%get_asFloat('sigma_rho_u') - ini%rhoSglRandom = pl%get_asFloat('random_rho_u',defaultVal= 0.0_pReal) + ini%sigma_rho_u = pl%get_asFloat('sigma_rho_u') + ini%random_rho_u = pl%get_asFloat('random_rho_u',defaultVal= 0.0_pReal) if (pl%contains('random_rho_u')) & - ini%rhoSglRandomBinning = pl%get_asFloat('random_rho_u_binning',defaultVal=0.0_pReal) !ToDo: useful default? + ini%random_rho_u_binning = pl%get_asFloat('random_rho_u_binning',defaultVal=0.0_pReal) !ToDo: useful default? ! if (rhoSglRandom(instance) < 0.0_pReal) & ! if (rhoSglRandomBinning(instance) <= 0.0_pReal) & - prm%surfaceTransmissivity = pl%get_asFloat('chi_surface',defaultVal=1.0_pReal) - prm%grainboundaryTransmissivity = pl%get_asFloat('chi_GB', defaultVal=-1.0_pReal) - prm%fEdgeMultiplication = pl%get_asFloat('f_ed_mult') + prm%chi_surface = pl%get_asFloat('chi_surface',defaultVal=1.0_pReal) + prm%chi_GB = pl%get_asFloat('chi_GB', defaultVal=-1.0_pReal) + prm%f_ed_mult = pl%get_asFloat('f_ed_mult') prm%shortRangeStressCorrection = pl%get_asBool('short_range_stress_correction', defaultVal = .false.) !-------------------------------------------------------------------------------------------------- ! sanity checks - if (any(prm%burgers < 0.0_pReal)) extmsg = trim(extmsg)//' b_sl' - if (any(prm%lambda0 <= 0.0_pReal)) extmsg = trim(extmsg)//' i_sl' + if (any(prm%b_sl < 0.0_pReal)) extmsg = trim(extmsg)//' b_sl' + if (any(prm%i_sl <= 0.0_pReal)) extmsg = trim(extmsg)//' i_sl' - if (any(ini%rhoSglEdgePos0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_u_ed_pos_0' - if (any(ini%rhoSglEdgeNeg0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_u_ed_neg_0' - if (any(ini%rhoSglScrewPos0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_u_sc_pos_0' - if (any(ini%rhoSglScrewNeg0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_u_sc_neg_0' - if (any(ini%rhoDipEdge0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_d_ed_0' - if (any(ini%rhoDipScrew0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_d_sc_0' + if (any(ini%rho_u_ed_pos_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_u_ed_pos_0' + if (any(ini%rho_u_ed_neg_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_u_ed_neg_0' + if (any(ini%rho_u_sc_pos_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_u_sc_pos_0' + if (any(ini%rho_u_sc_neg_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_u_sc_neg_0' + if (any(ini%rho_d_ed_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_d_ed_0' + if (any(ini%rho_d_sc_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_d_sc_0' - if (any(prm%peierlsstress < 0.0_pReal)) extmsg = trim(extmsg)//' tau_peierls' - if (any(prm%minDipoleHeight < 0.0_pReal)) extmsg = trim(extmsg)//' d_ed or d_sc' + if (any(prm%peierlsstress < 0.0_pReal)) extmsg = trim(extmsg)//' tau_peierls' + if (any(prm%minDipoleHeight < 0.0_pReal)) extmsg = trim(extmsg)//' d_ed or d_sc' - if (prm%viscosity <= 0.0_pReal) extmsg = trim(extmsg)//' eta' - if (prm%selfDiffusionEnergy <= 0.0_pReal) extmsg = trim(extmsg)//' Q_cl' - if (prm%fattack <= 0.0_pReal) extmsg = trim(extmsg)//' nu_a' - if (prm%doublekinkwidth <= 0.0_pReal) extmsg = trim(extmsg)//' w' - if (prm%Dsd0 < 0.0_pReal) extmsg = trim(extmsg)//' D_0' - if (prm%atomicVolume <= 0.0_pReal) extmsg = trim(extmsg)//' V_at' ! ToDo: in disloTungsten, the atomic volume is given as a factor + if (prm%eta <= 0.0_pReal) extmsg = trim(extmsg)//' eta' + if (prm%Q_cl <= 0.0_pReal) extmsg = trim(extmsg)//' Q_cl' + if (prm%nu_a <= 0.0_pReal) extmsg = trim(extmsg)//' nu_a' + if (prm%w <= 0.0_pReal) extmsg = trim(extmsg)//' w' + if (prm%D_0 < 0.0_pReal) extmsg = trim(extmsg)//' D_0' + if (prm%V_at <= 0.0_pReal) extmsg = trim(extmsg)//' V_at' ! ToDo: in disloTungsten, the atomic volume is given as a factor - if (prm%significantN < 0.0_pReal) extmsg = trim(extmsg)//' rho_num_significant' - if (prm%significantrho < 0.0_pReal) extmsg = trim(extmsg)//' rho_significant' - if (prm%atol_rho < 0.0_pReal) extmsg = trim(extmsg)//' atol_rho' - if (prm%CFLfactor < 0.0_pReal) extmsg = trim(extmsg)//' f_c' + if (prm%rho_num_significant < 0.0_pReal) extmsg = trim(extmsg)//' rho_num_significant' + if (prm%rho_significant < 0.0_pReal) extmsg = trim(extmsg)//' rho_significant' + if (prm%atol_rho < 0.0_pReal) extmsg = trim(extmsg)//' atol_rho' + if (prm%f_c < 0.0_pReal) extmsg = trim(extmsg)//' f_c' - if (prm%p <= 0.0_pReal .or. prm%p > 1.0_pReal) extmsg = trim(extmsg)//' p_sl' - if (prm%q < 1.0_pReal .or. prm%q > 2.0_pReal) extmsg = trim(extmsg)//' q_sl' + if (prm%p <= 0.0_pReal .or. prm%p > 1.0_pReal) extmsg = trim(extmsg)//' p_sl' + if (prm%q < 1.0_pReal .or. prm%q > 2.0_pReal) extmsg = trim(extmsg)//' q_sl' - if (prm%linetensionEffect < 0.0_pReal .or. prm%linetensionEffect > 1.0_pReal) & + if (prm%f_F < 0.0_pReal .or. prm%f_F > 1.0_pReal) & extmsg = trim(extmsg)//' f_F' - if (prm%edgeJogFactor < 0.0_pReal .or. prm%edgeJogFactor > 1.0_pReal) & + if (prm%f_ed < 0.0_pReal .or. prm%f_ed > 1.0_pReal) & extmsg = trim(extmsg)//' f_ed' - if (prm%solidSolutionEnergy <= 0.0_pReal) extmsg = trim(extmsg)//' Q_sol' - if (prm%solidSolutionSize <= 0.0_pReal) extmsg = trim(extmsg)//' f_sol' - if (prm%solidSolutionConcentration <= 0.0_pReal) extmsg = trim(extmsg)//' c_sol' + if (prm%Q_sol <= 0.0_pReal) extmsg = trim(extmsg)//' Q_sol' + if (prm%f_sol <= 0.0_pReal) extmsg = trim(extmsg)//' f_sol' + if (prm%c_sol <= 0.0_pReal) extmsg = trim(extmsg)//' c_sol' - if (prm%grainboundaryTransmissivity > 1.0_pReal) extmsg = trim(extmsg)//' chi_GB' - if (prm%surfaceTransmissivity < 0.0_pReal .or. prm%surfaceTransmissivity > 1.0_pReal) & - extmsg = trim(extmsg)//' chi_surface' + if (prm%chi_GB > 1.0_pReal) extmsg = trim(extmsg)//' chi_GB' + if (prm%chi_surface < 0.0_pReal .or. prm%chi_surface > 1.0_pReal) & + extmsg = trim(extmsg)//' chi_surface' - if (prm%fEdgeMultiplication < 0.0_pReal .or. prm%fEdgeMultiplication > 1.0_pReal) & - extmsg = trim(extmsg)//' f_ed_mult' + if (prm%f_ed_mult < 0.0_pReal .or. prm%f_ed_mult > 1.0_pReal) & + extmsg = trim(extmsg)//' f_ed_mult' endif slipActive @@ -412,7 +412,7 @@ module function plastic_nonlocal_init() result(myPlasticity) call IO_error(212,ext_msg='IPneighborhood does not exist') - plasticState(p)%offsetDeltaState = 0 ! ToDo: state structure does not follow convention + plasticState(p)%offsetDeltaState = 0 ! ToDo: state structure does not follow convention st0%rho => plasticState(p)%state0 (0*prm%sum_N_sl+1:10*prm%sum_N_sl,:) stt%rho => plasticState(p)%state (0*prm%sum_N_sl+1:10*prm%sum_N_sl,:) @@ -620,16 +620,16 @@ module subroutine plastic_nonlocal_dependentState(F, Fp, instance, of, ip, el) ! coefficients are corrected for the line tension effect ! (see Kubin,Devincre,Hoc; 2008; Modeling dislocation storage rates and mean free paths in face-centered cubic crystals) if (any(lattice_structure(material_phaseAt(1,el)) == [LATTICE_bcc_ID,LATTICE_fcc_ID])) then - myInteractionMatrix = prm%interactionSlipSlip & - * spread(( 1.0_pReal - prm%linetensionEffect & - + prm%linetensionEffect & - * log(0.35_pReal * prm%burgers * sqrt(max(stt%rho_forest(:,of),prm%significantRho))) & - / log(0.35_pReal * prm%burgers * 1e6_pReal))** 2.0_pReal,2,prm%sum_N_sl) + myInteractionMatrix = prm%h_sl_sl & + * spread(( 1.0_pReal - prm%f_F & + + prm%f_F & + * log(0.35_pReal * prm%b_sl * sqrt(max(stt%rho_forest(:,of),prm%rho_significant))) & + / log(0.35_pReal * prm%b_sl * 1e6_pReal))** 2.0_pReal,2,prm%sum_N_sl) else - myInteractionMatrix = prm%interactionSlipSlip + myInteractionMatrix = prm%h_sl_sl endif - dst%tau_pass(:,of) = prm%mu * prm%burgers & + dst%tau_pass(:,of) = prm%mu * prm%b_sl & * sqrt(matmul(myInteractionMatrix,sum(abs(rho),2))) !*** calculate the dislocation stress of the neighboring excess dislocation densities @@ -731,7 +731,7 @@ module subroutine plastic_nonlocal_dependentState(F, Fp, instance, of, ip, el) where(rhoTotal > 0.0_pReal) rhoExcessGradient_over_rho = rhoExcessGradient / rhoTotal ! ... gives the local stress correction when multiplied with a factor - dst%tau_back(s,of) = - prm%mu * prm%burgers(s) / (2.0_pReal * PI) & + dst%tau_back(s,of) = - prm%mu * prm%b_sl(s) / (2.0_pReal * PI) & * ( rhoExcessGradient_over_rho(1) / (1.0_pReal - prm%nu) & + rhoExcessGradient_over_rho(2)) enddo @@ -841,7 +841,7 @@ module subroutine plastic_nonlocal_LpAndItsTangent(Lp,dLp_dMp, & forall (s = 1:ns, t = 5:8, rhoSgl(s,t) * v(s,t-4) < 0.0_pReal) & rhoSgl(s,t-4) = rhoSgl(s,t-4) + abs(rhoSgl(s,t)) - gdotTotal = sum(rhoSgl(:,1:4) * v, 2) * prm%burgers + gdotTotal = sum(rhoSgl(:,1:4) * v, 2) * prm%b_sl Lp = 0.0_pReal dLp_dMp = 0.0_pReal @@ -850,10 +850,10 @@ module subroutine plastic_nonlocal_LpAndItsTangent(Lp,dLp_dMp, & forall (i=1:3,j=1:3,k=1:3,l=1:3) & dLp_dMp(i,j,k,l) = dLp_dMp(i,j,k,l) & + prm%Schmid(i,j,s) * prm%Schmid(k,l,s) & - * sum(rhoSgl(s,1:4) * dv_dtau(s,1:4)) * prm%burgers(s) & + * sum(rhoSgl(s,1:4) * dv_dtau(s,1:4)) * prm%b_sl(s) & + prm%Schmid(i,j,s) & * ( prm%nonSchmid_pos(k,l,s) * rhoSgl(s,3) * dv_dtauNS(s,3) & - - prm%nonSchmid_neg(k,l,s) * rhoSgl(s,4) * dv_dtauNS(s,4)) * prm%burgers(s) + - prm%nonSchmid_neg(k,l,s) * rhoSgl(s,4) * dv_dtauNS(s,4)) * prm%b_sl(s) enddo end associate @@ -929,8 +929,8 @@ module subroutine plastic_nonlocal_deltaState(Mp,instance,of,ip,el) if (abs(tau(s)) < 1.0e-15_pReal) tau(s) = 1.0e-15_pReal enddo - dUpper(:,1) = prm%mu * prm%burgers/(8.0_pReal * PI * (1.0_pReal - prm%nu) * abs(tau)) - dUpper(:,2) = prm%mu * prm%burgers/(4.0_pReal * PI * abs(tau)) + dUpper(:,1) = prm%mu * prm%b_sl/(8.0_pReal * PI * (1.0_pReal - prm%nu) * abs(tau)) + dUpper(:,2) = prm%mu * prm%b_sl/(4.0_pReal * PI * abs(tau)) where(dNeq0(sqrt(sum(abs(rho(:,edg)),2)))) & dUpper(:,1) = min(1.0_pReal/sqrt(sum(abs(rho(:,edg)),2)),dUpper(:,1)) @@ -1041,7 +1041,7 @@ module subroutine plastic_nonlocal_dotState(Mp, F, Fp, Temperature,timestep, & my_rhoSgl0 = rho0(:,sgl) forall (s = 1:ns, t = 1:4) v(s,t) = plasticState(ph)%state(iV(s,t,instance),of) - gdot = rhoSgl(:,1:4) * v * spread(prm%burgers,2,4) + gdot = rhoSgl(:,1:4) * v * spread(prm%b_sl,2,4) #ifdef DEBUG if (debugConstitutive%basic & @@ -1060,8 +1060,8 @@ module subroutine plastic_nonlocal_dotState(Mp, F, Fp, Temperature,timestep, & enddo dLower = prm%minDipoleHeight - dUpper(:,1) = prm%mu * prm%burgers/(8.0_pReal * PI * (1.0_pReal - prm%nu) * abs(tau)) - dUpper(:,2) = prm%mu * prm%burgers/(4.0_pReal * PI * abs(tau)) + dUpper(:,1) = prm%mu * prm%b_sl/(8.0_pReal * PI * (1.0_pReal - prm%nu) * abs(tau)) + dUpper(:,2) = prm%mu * prm%b_sl/(4.0_pReal * PI * abs(tau)) where(dNeq0(sqrt(sum(abs(rho(:,edg)),2)))) & dUpper(:,1) = min(1.0_pReal/sqrt(sum(abs(rho(:,edg)),2)),dUpper(:,1)) @@ -1075,18 +1075,18 @@ module subroutine plastic_nonlocal_dotState(Mp, F, Fp, Temperature,timestep, & rhoDotMultiplication = 0.0_pReal isBCC: if (lattice_structure(ph) == LATTICE_bcc_ID) then forall (s = 1:ns, sum(abs(v(s,1:4))) > 0.0_pReal) - rhoDotMultiplication(s,1:2) = sum(abs(gdot(s,3:4))) / prm%burgers(s) & ! assuming double-cross-slip of screws to be decisive for multiplication - * sqrt(stt%rho_forest(s,of)) / prm%lambda0(s) ! & ! mean free path + rhoDotMultiplication(s,1:2) = sum(abs(gdot(s,3:4))) / prm%b_sl(s) & ! assuming double-cross-slip of screws to be decisive for multiplication + * sqrt(stt%rho_forest(s,of)) / prm%i_sl(s) ! & ! mean free path ! * 2.0_pReal * sum(abs(v(s,3:4))) / sum(abs(v(s,1:4))) ! ratio of screw to overall velocity determines edge generation - rhoDotMultiplication(s,3:4) = sum(abs(gdot(s,3:4))) /prm%burgers(s) & ! assuming double-cross-slip of screws to be decisive for multiplication - * sqrt(stt%rho_forest(s,of)) / prm%lambda0(s) ! & ! mean free path + rhoDotMultiplication(s,3:4) = sum(abs(gdot(s,3:4))) /prm%b_sl(s) & ! assuming double-cross-slip of screws to be decisive for multiplication + * sqrt(stt%rho_forest(s,of)) / prm%i_sl(s) ! & ! mean free path ! * 2.0_pReal * sum(abs(v(s,1:2))) / sum(abs(v(s,1:4))) ! ratio of edge to overall velocity determines screw generation endforall else isBCC rhoDotMultiplication(:,1:4) = spread( & - (sum(abs(gdot(:,1:2)),2) * prm%fEdgeMultiplication + sum(abs(gdot(:,3:4)),2)) & - * sqrt(stt%rho_forest(:,of)) / prm%lambda0 / prm%burgers, 2, 4) + (sum(abs(gdot(:,1:2)),2) * prm%f_ed_mult + sum(abs(gdot(:,3:4)),2)) & + * sqrt(stt%rho_forest(:,of)) / prm%i_sl / prm%b_sl, 2, 4) endif isBCC forall (s = 1:ns, t = 1:4) v0(s,t) = plasticState(ph)%state0(iV(s,t,instance),of) @@ -1097,20 +1097,20 @@ module subroutine plastic_nonlocal_dotState(Mp, F, Fp, Temperature,timestep, & !*** formation by glide do c = 1,2 - rhoDotSingle2DipoleGlide(:,2*c-1) = -2.0_pReal * dUpper(:,c) / prm%burgers & + rhoDotSingle2DipoleGlide(:,2*c-1) = -2.0_pReal * dUpper(:,c) / prm%b_sl & * ( rhoSgl(:,2*c-1) * abs(gdot(:,2*c)) & ! negative mobile --> positive mobile + rhoSgl(:,2*c) * abs(gdot(:,2*c-1)) & ! positive mobile --> negative mobile + abs(rhoSgl(:,2*c+4)) * abs(gdot(:,2*c-1))) ! positive mobile --> negative immobile - rhoDotSingle2DipoleGlide(:,2*c) = -2.0_pReal * dUpper(:,c) / prm%burgers & + rhoDotSingle2DipoleGlide(:,2*c) = -2.0_pReal * dUpper(:,c) / prm%b_sl & * ( rhoSgl(:,2*c-1) * abs(gdot(:,2*c)) & ! negative mobile --> positive mobile + rhoSgl(:,2*c) * abs(gdot(:,2*c-1)) & ! positive mobile --> negative mobile + abs(rhoSgl(:,2*c+3)) * abs(gdot(:,2*c))) ! negative mobile --> positive immobile - rhoDotSingle2DipoleGlide(:,2*c+3) = -2.0_pReal * dUpper(:,c) / prm%burgers & + rhoDotSingle2DipoleGlide(:,2*c+3) = -2.0_pReal * dUpper(:,c) / prm%b_sl & * rhoSgl(:,2*c+3) * abs(gdot(:,2*c)) ! negative mobile --> positive immobile - rhoDotSingle2DipoleGlide(:,2*c+4) = -2.0_pReal * dUpper(:,c) / prm%burgers & + rhoDotSingle2DipoleGlide(:,2*c+4) = -2.0_pReal * dUpper(:,c) / prm%b_sl & * rhoSgl(:,2*c+4) * abs(gdot(:,2*c-1)) ! positive mobile --> negative immobile rhoDotSingle2DipoleGlide(:,c+8) = abs(rhoDotSingle2DipoleGlide(:,2*c+3)) & @@ -1123,27 +1123,27 @@ module subroutine plastic_nonlocal_dotState(Mp, F, Fp, Temperature,timestep, & !*** athermal annihilation rhoDotAthermalAnnihilation = 0.0_pReal forall (c=1:2) & - rhoDotAthermalAnnihilation(:,c+8) = -2.0_pReal * dLower(:,c) / prm%burgers & - * ( 2.0_pReal * (rhoSgl(:,2*c-1) * abs(gdot(:,2*c)) + rhoSgl(:,2*c) * abs(gdot(:,2*c-1))) & ! was single hitting single + rhoDotAthermalAnnihilation(:,c+8) = -2.0_pReal * dLower(:,c) / prm%b_sl & + * ( 2.0_pReal * (rhoSgl(:,2*c-1) * abs(gdot(:,2*c)) + rhoSgl(:,2*c) * abs(gdot(:,2*c-1))) & ! was single hitting single + 2.0_pReal * (abs(rhoSgl(:,2*c+3)) * abs(gdot(:,2*c)) + abs(rhoSgl(:,2*c+4)) * abs(gdot(:,2*c-1))) & ! was single hitting immobile single or was immobile single hit by single - + rhoDip(:,c) * (abs(gdot(:,2*c-1)) + abs(gdot(:,2*c)))) ! single knocks dipole constituent + + rhoDip(:,c) * (abs(gdot(:,2*c-1)) + abs(gdot(:,2*c)))) ! single knocks dipole constituent ! annihilated screw dipoles leave edge jogs behind on the colinear system if (lattice_structure(ph) == LATTICE_fcc_ID) & forall (s = 1:ns, prm%colinearSystem(s) > 0) & rhoDotAthermalAnnihilation(prm%colinearSystem(s),1:2) = - rhoDotAthermalAnnihilation(s,10) & - * 0.25_pReal * sqrt(stt%rho_forest(s,of)) * (dUpper(s,2) + dLower(s,2)) * prm%edgeJogFactor + * 0.25_pReal * sqrt(stt%rho_forest(s,of)) * (dUpper(s,2) + dLower(s,2)) * prm%f_ed !*** thermally activated annihilation of edge dipoles by climb rhoDotThermalAnnihilation = 0.0_pReal - selfDiffusion = prm%Dsd0 * exp(-prm%selfDiffusionEnergy / (kB * Temperature)) - vClimb = prm%atomicVolume * selfDiffusion * prm%mu & + selfDiffusion = prm%D_0 * exp(-prm%Q_cl / (kB * Temperature)) + vClimb = prm%V_at * selfDiffusion * prm%mu & / ( kB * Temperature * PI * (1.0_pReal-prm%nu) * (dUpper(:,1) + dLower(:,1))) forall (s = 1:ns, dUpper(s,1) > dLower(s,1)) & rhoDotThermalAnnihilation(s,9) = max(- 4.0_pReal * rhoDip(s,1) * vClimb(s) / (dUpper(s,1) - dLower(s,1)), & - rhoDip(s,1) / timestep - rhoDotAthermalAnnihilation(s,9) & - - rhoDotSingle2DipoleGlide(s,9)) ! make sure that we do not annihilate more dipoles than we have + - rhoDotSingle2DipoleGlide(s,9)) ! make sure that we do not annihilate more dipoles than we have rhoDot = rhoDotFlux(F,Fp,timestep, instance,of,ip,el) & + rhoDotMultiplication & @@ -1252,7 +1252,7 @@ function rhoDotFlux(F,Fp,timestep, instance,of,ip,el) my_rhoSgl0 = rho0(:,sgl) forall (s = 1:ns, t = 1:4) v(s,t) = plasticState(ph)%state(iV(s,t,instance),of) !ToDo: MD: I think we should use state0 here - gdot = rhoSgl(:,1:4) * v * spread(prm%burgers,2,4) + gdot = rhoSgl(:,1:4) * v * spread(prm%b_sl,2,4) forall (s = 1:ns, t = 1:4) v0(s,t) = plasticState(ph)%state0(iV(s,t,instance),of) @@ -1264,14 +1264,14 @@ function rhoDotFlux(F,Fp,timestep, instance,of,ip,el) !*** check CFL (Courant-Friedrichs-Lewy) condition for flux if (any( abs(gdot) > 0.0_pReal & ! any active slip system ... - .and. prm%CFLfactor * abs(v0) * timestep & + .and. prm%f_c * abs(v0) * timestep & > IPvolume(ip,el) / maxval(IParea(:,ip,el)))) then ! ...with velocity above critical value (we use the reference volume and area for simplicity here) #ifdef DEBUG if (debugConstitutive%extensive) then write(6,'(a,i5,a,i2)') '<< CONST >> CFL condition not fullfilled at el ',el,' ip ',ip write(6,'(a,e10.3,a,e10.3)') '<< CONST >> velocity is at ', & maxval(abs(v0), abs(gdot) > 0.0_pReal & - .and. prm%CFLfactor * abs(v0) * timestep & + .and. prm%f_c * abs(v0) * timestep & > IPvolume(ip,el) / maxval(IParea(:,ip,el))), & ' at a timestep of ',timestep print*, '<< CONST >> enforcing cutback !!!' @@ -1334,8 +1334,8 @@ function rhoDotFlux(F,Fp,timestep, instance,of,ip,el) neighbor_rhoSgl0(s,t) = max(plasticState(np)%state0(iRhoU(s,t,neighbor_instance),no),0.0_pReal) endforall - where (neighbor_rhoSgl0 * IPvolume(neighbor_ip,neighbor_el) ** 0.667_pReal < prm%significantN & - .or. neighbor_rhoSgl0 < prm%significantRho) & + where (neighbor_rhoSgl0 * IPvolume(neighbor_ip,neighbor_el) ** 0.667_pReal < prm%rho_num_significant & + .or. neighbor_rhoSgl0 < prm%rho_significant) & neighbor_rhoSgl0 = 0.0_pReal normal_neighbor2me_defConf = math_det33(Favg) * matmul(math_inv33(transpose(Favg)), & IPareaNormal(1:3,neighbor_n,neighbor_ip,neighbor_el)) ! normal of the interface in (average) deformed configuration (pointing neighbor => me) @@ -1460,7 +1460,7 @@ module subroutine plastic_nonlocal_updateCompatibility(orientation,instance,i,e) if (neighbor_e <= 0 .or. neighbor_i <= 0) then !* FREE SURFACE !* Set surface transmissivity to the value specified in the material.config - forall(s1 = 1:ns) my_compatibility(:,s1,s1,n) = sqrt(prm%surfaceTransmissivity) + forall(s1 = 1:ns) my_compatibility(:,s1,s1,n) = sqrt(prm%chi_surface) elseif (neighbor_phase /= ph) then !* PHASE BOUNDARY !* If we encounter a different nonlocal phase at the neighbor, @@ -1469,13 +1469,13 @@ module subroutine plastic_nonlocal_updateCompatibility(orientation,instance,i,e) !* we do not consider this to be a phase boundary, so completely compatible. if (.not. phase_localPlasticity(neighbor_phase) .and. .not. phase_localPlasticity(ph)) & forall(s1 = 1:ns) my_compatibility(:,s1,s1,n) = 0.0_pReal - elseif (prm%grainboundaryTransmissivity >= 0.0_pReal) then + elseif (prm%chi_GB >= 0.0_pReal) then !* GRAIN BOUNDARY ! !* fixed transmissivity for adjacent ips with different texture (only if explicitly given in material.config) if (any(dNeq(material_orientation0(1,i,e)%asQuaternion(), & material_orientation0(1,neighbor_i,neighbor_e)%asQuaternion())) .and. & (.not. phase_localPlasticity(neighbor_phase))) & - forall(s1 = 1:ns) my_compatibility(:,s1,s1,n) = sqrt(prm%grainboundaryTransmissivity) + forall(s1 = 1:ns) my_compatibility(:,s1,s1,n) = sqrt(prm%chi_GB) else !* GRAIN BOUNDARY ? !* Compatibility defined by relative orientation of slip systems: @@ -1631,7 +1631,7 @@ subroutine stateInit(ini,phase,NipcMyPhase,instance) associate(stt => state(instance)) - if (ini%rhoSglRandom > 0.0_pReal) then ! randomly distribute dislocation segments on random slip system and of random type in the volume + if (ini%random_rho_u > 0.0_pReal) then ! randomly distribute dislocation segments on random slip system and of random type in the volume do e = 1,discretization_nElem do i = 1,discretization_nIP if (material_phaseAt(1,e) == phase) volume(material_phasememberAt(1,i,e)) = IPvolume(i,e) @@ -1639,11 +1639,11 @@ subroutine stateInit(ini,phase,NipcMyPhase,instance) enddo totalVolume = sum(volume) minimumIPVolume = minval(volume) - densityBinning = ini%rhoSglRandomBinning / minimumIpVolume ** (2.0_pReal / 3.0_pReal) + densityBinning = ini%random_rho_u_binning / minimumIpVolume ** (2.0_pReal / 3.0_pReal) ! fill random material points with dislocation segments until the desired overall density is reached meanDensity = 0.0_pReal - do while(meanDensity < ini%rhoSglRandom) + do while(meanDensity < ini%random_rho_u) call random_number(rnd) phasemember = nint(rnd(1)*real(NipcMyPhase,pReal) + 0.5_pReal) s = nint(rnd(2)*real(sum(ini%N_sl),pReal)*4.0_pReal + 0.5_pReal) @@ -1656,15 +1656,15 @@ subroutine stateInit(ini,phase,NipcMyPhase,instance) from = 1 + sum(ini%N_sl(1:f-1)) upto = sum(ini%N_sl(1:f)) do s = from,upto - noise = [math_sampleGaussVar(0.0_pReal, ini%rhoSglScatter), & - math_sampleGaussVar(0.0_pReal, ini%rhoSglScatter)] - stt%rho_sgl_mob_edg_pos(s,e) = ini%rhoSglEdgePos0(f) + noise(1) - stt%rho_sgl_mob_edg_neg(s,e) = ini%rhoSglEdgeNeg0(f) + noise(1) - stt%rho_sgl_mob_scr_pos(s,e) = ini%rhoSglScrewPos0(f) + noise(2) - stt%rho_sgl_mob_scr_neg(s,e) = ini%rhoSglScrewNeg0(f) + noise(2) + noise = [math_sampleGaussVar(0.0_pReal, ini%sigma_rho_u), & + math_sampleGaussVar(0.0_pReal, ini%sigma_rho_u)] + stt%rho_sgl_mob_edg_pos(s,e) = ini%rho_u_ed_pos_0(f) + noise(1) + stt%rho_sgl_mob_edg_neg(s,e) = ini%rho_u_ed_neg_0(f) + noise(1) + stt%rho_sgl_mob_scr_pos(s,e) = ini%rho_u_sc_pos_0(f) + noise(2) + stt%rho_sgl_mob_scr_neg(s,e) = ini%rho_u_sc_neg_0(f) + noise(2) enddo - stt%rho_dip_edg(from:upto,e) = ini%rhoDipEdge0(f) - stt%rho_dip_scr(from:upto,e) = ini%rhoDipScrew0(f) + stt%rho_dip_edg(from:upto,e) = ini%rho_d_ed_0(f) + stt%rho_dip_scr(from:upto,e) = ini%rho_d_sc_0(f) enddo enddo endif @@ -1732,14 +1732,14 @@ pure subroutine kinetics(v, dv_dtau, dv_dtauNS, tau, tauNS, tauThreshold, c, Tem !* Effective stress includes non Schmid constributions !* The derivative only gives absolute values; the correct sign is taken care of in the formula for the derivative of the velocity tauEff = max(0.0_pReal, abs(tauNS(s)) - tauThreshold(s)) ! ensure that the effective stress is positive - meanfreepath_P = prm%burgers(s) - jumpWidth_P = prm%burgers(s) - activationLength_P = prm%doublekinkwidth *prm%burgers(s) - activationVolume_P = activationLength_P * jumpWidth_P * prm%burgers(s) + meanfreepath_P = prm%b_sl(s) + jumpWidth_P = prm%b_sl(s) + activationLength_P = prm%w *prm%b_sl(s) + activationVolume_P = activationLength_P * jumpWidth_P * prm%b_sl(s) criticalStress_P = prm%peierlsStress(s,c) activationEnergy_P = criticalStress_P * activationVolume_P tauRel_P = min(1.0_pReal, tauEff / criticalStress_P) ! ensure that the activation probability cannot become greater than one - tPeierls = 1.0_pReal / prm%fattack & + tPeierls = 1.0_pReal / prm%nu_a & * exp(activationEnergy_P / (kB * Temperature) & * (1.0_pReal - tauRel_P**prm%p)**prm%q) if (tauEff < criticalStress_P) then @@ -1752,14 +1752,14 @@ pure subroutine kinetics(v, dv_dtau, dv_dtauNS, tau, tauNS, tauThreshold, c, Tem !* Contribution from solid solution strengthening !* The derivative only gives absolute values; the correct sign is taken care of in the formula for the derivative of the velocity tauEff = abs(tau(s)) - tauThreshold(s) - meanfreepath_S = prm%burgers(s) / sqrt(prm%solidSolutionConcentration) - jumpWidth_S = prm%solidSolutionSize * prm%burgers(s) - activationLength_S = prm%burgers(s) / sqrt(prm%solidSolutionConcentration) - activationVolume_S = activationLength_S * jumpWidth_S * prm%burgers(s) - activationEnergy_S = prm%solidSolutionEnergy + meanfreepath_S = prm%b_sl(s) / sqrt(prm%c_sol) + jumpWidth_S = prm%f_sol * prm%b_sl(s) + activationLength_S = prm%b_sl(s) / sqrt(prm%c_sol) + activationVolume_S = activationLength_S * jumpWidth_S * prm%b_sl(s) + activationEnergy_S = prm%Q_sol criticalStress_S = activationEnergy_S / activationVolume_S tauRel_S = min(1.0_pReal, tauEff / criticalStress_S) ! ensure that the activation probability cannot become greater than one - tSolidSolution = 1.0_pReal / prm%fattack & + tSolidSolution = 1.0_pReal / prm%nu_a & * exp(activationEnergy_S / (kB * Temperature)* (1.0_pReal - tauRel_S**prm%p)**prm%q) if (tauEff < criticalStress_S) then dtSolidSolution_dtau = tSolidSolution * prm%p * prm%q * activationVolume_S / (kB * Temperature) & @@ -1770,7 +1770,7 @@ pure subroutine kinetics(v, dv_dtau, dv_dtauNS, tau, tauNS, tauThreshold, c, Tem !* viscous glide velocity tauEff = abs(tau(s)) - tauThreshold(s) - mobility = prm%burgers(s) / prm%viscosity + mobility = prm%b_sl(s) / prm%eta vViscous = mobility * tauEff !* Mean velocity results from waiting time at peierls barriers and solid solution obstacles with respective meanfreepath of @@ -1805,7 +1805,7 @@ pure function getRho(instance,of,ip,el) getRho(:,mob) = max(getRho(:,mob),0.0_pReal) getRho(:,dip) = max(getRho(:,dip),0.0_pReal) - where(abs(getRho) < max(prm%significantN/IPvolume(ip,el)**(2.0_pReal/3.0_pReal),prm%significantRho)) & + where(abs(getRho) < max(prm%rho_num_significant/IPvolume(ip,el)**(2.0_pReal/3.0_pReal),prm%rho_significant)) & getRho = 0.0_pReal end associate @@ -1830,7 +1830,7 @@ pure function getRho0(instance,of,ip,el) getRho0(:,mob) = max(getRho0(:,mob),0.0_pReal) getRho0(:,dip) = max(getRho0(:,dip),0.0_pReal) - where(abs(getRho0) < max(prm%significantN/IPvolume(ip,el)**(2.0_pReal/3.0_pReal),prm%significantRho)) & + where(abs(getRho0) < max(prm%rho_num_significant/IPvolume(ip,el)**(2.0_pReal/3.0_pReal),prm%rho_significant)) & getRho0 = 0.0_pReal end associate From 881167a37cf06785213d62a9fcd512368f920718 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Tue, 22 Sep 2020 19:26:39 +0200 Subject: [PATCH 018/103] [skip ci] small whitespace adjustments --- src/constitutive_plastic_kinehardening.f90 | 4 +- src/constitutive_plastic_nonlocal.f90 | 44 +++++++++++----------- src/constitutive_plastic_phenopowerlaw.f90 | 26 ++++++------- 3 files changed, 37 insertions(+), 37 deletions(-) diff --git a/src/constitutive_plastic_kinehardening.f90 b/src/constitutive_plastic_kinehardening.f90 index 9783f27ad..813b5554f 100644 --- a/src/constitutive_plastic_kinehardening.f90 +++ b/src/constitutive_plastic_kinehardening.f90 @@ -442,14 +442,14 @@ pure subroutine kinetics(Mp,instance,of, & enddo where(dNeq0(tau_pos)) - gdot_pos = prm%dot_gamma_0 * merge(0.5_pReal,1.0_pReal, prm%nonSchmidActive) & ! 1/2 if non-Schmid active + gdot_pos = prm%dot_gamma_0 * merge(0.5_pReal,1.0_pReal, prm%nonSchmidActive) & ! 1/2 if non-Schmid active * sign(abs(tau_pos/stt%crss(:,of))**prm%n, tau_pos) else where gdot_pos = 0.0_pReal end where where(dNeq0(tau_neg)) - gdot_neg = prm%dot_gamma_0 * 0.5_pReal & ! only used if non-Schmid active, always 1/2 + gdot_neg = prm%dot_gamma_0 * 0.5_pReal & ! only used if non-Schmid active, always 1/2 * sign(abs(tau_neg/stt%crss(:,of))**prm%n, tau_neg) else where gdot_neg = 0.0_pReal diff --git a/src/constitutive_plastic_nonlocal.f90 b/src/constitutive_plastic_nonlocal.f90 index b4113a5c6..6d03f8dae 100644 --- a/src/constitutive_plastic_nonlocal.f90 +++ b/src/constitutive_plastic_nonlocal.f90 @@ -313,8 +313,8 @@ module function plastic_nonlocal_init() result(myPlasticity) prm%f_c = pl%get_asFloat('f_c',defaultVal=2.0_pReal) prm%V_at = pl%get_asFloat('V_at') - prm%D_0 = pl%get_asFloat('D_0') !,'dsd0' - prm%Q_cl = pl%get_asFloat('Q_cl') !,'qsd' + prm%D_0 = pl%get_asFloat('D_0') + prm%Q_cl = pl%get_asFloat('Q_cl') prm%f_F = pl%get_asFloat('f_F') prm%f_ed = pl%get_asFloat('f_ed') !,'edgejogs' prm%w = pl%get_asFloat('w') @@ -343,30 +343,30 @@ module function plastic_nonlocal_init() result(myPlasticity) !-------------------------------------------------------------------------------------------------- ! sanity checks - if (any(prm%b_sl < 0.0_pReal)) extmsg = trim(extmsg)//' b_sl' - if (any(prm%i_sl <= 0.0_pReal)) extmsg = trim(extmsg)//' i_sl' + if (any(prm%b_sl < 0.0_pReal)) extmsg = trim(extmsg)//' b_sl' + if (any(prm%i_sl <= 0.0_pReal)) extmsg = trim(extmsg)//' i_sl' - if (any(ini%rho_u_ed_pos_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_u_ed_pos_0' - if (any(ini%rho_u_ed_neg_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_u_ed_neg_0' - if (any(ini%rho_u_sc_pos_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_u_sc_pos_0' - if (any(ini%rho_u_sc_neg_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_u_sc_neg_0' - if (any(ini%rho_d_ed_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_d_ed_0' - if (any(ini%rho_d_sc_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_d_sc_0' + if (any(ini%rho_u_ed_pos_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_u_ed_pos_0' + if (any(ini%rho_u_ed_neg_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_u_ed_neg_0' + if (any(ini%rho_u_sc_pos_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_u_sc_pos_0' + if (any(ini%rho_u_sc_neg_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_u_sc_neg_0' + if (any(ini%rho_d_ed_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_d_ed_0' + if (any(ini%rho_d_sc_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_d_sc_0' - if (any(prm%peierlsstress < 0.0_pReal)) extmsg = trim(extmsg)//' tau_peierls' - if (any(prm%minDipoleHeight < 0.0_pReal)) extmsg = trim(extmsg)//' d_ed or d_sc' + if (any(prm%peierlsstress < 0.0_pReal)) extmsg = trim(extmsg)//' tau_peierls' + if (any(prm%minDipoleHeight < 0.0_pReal)) extmsg = trim(extmsg)//' d_ed or d_sc' - if (prm%eta <= 0.0_pReal) extmsg = trim(extmsg)//' eta' - if (prm%Q_cl <= 0.0_pReal) extmsg = trim(extmsg)//' Q_cl' - if (prm%nu_a <= 0.0_pReal) extmsg = trim(extmsg)//' nu_a' - if (prm%w <= 0.0_pReal) extmsg = trim(extmsg)//' w' - if (prm%D_0 < 0.0_pReal) extmsg = trim(extmsg)//' D_0' - if (prm%V_at <= 0.0_pReal) extmsg = trim(extmsg)//' V_at' ! ToDo: in disloTungsten, the atomic volume is given as a factor + if (prm%eta <= 0.0_pReal) extmsg = trim(extmsg)//' eta' + if (prm%Q_cl <= 0.0_pReal) extmsg = trim(extmsg)//' Q_cl' + if (prm%nu_a <= 0.0_pReal) extmsg = trim(extmsg)//' nu_a' + if (prm%w <= 0.0_pReal) extmsg = trim(extmsg)//' w' + if (prm%D_0 < 0.0_pReal) extmsg = trim(extmsg)//' D_0' + if (prm%V_at <= 0.0_pReal) extmsg = trim(extmsg)//' V_at' ! ToDo: in disloTungsten, the atomic volume is given as a factor - if (prm%rho_num_significant < 0.0_pReal) extmsg = trim(extmsg)//' rho_num_significant' - if (prm%rho_significant < 0.0_pReal) extmsg = trim(extmsg)//' rho_significant' - if (prm%atol_rho < 0.0_pReal) extmsg = trim(extmsg)//' atol_rho' - if (prm%f_c < 0.0_pReal) extmsg = trim(extmsg)//' f_c' + if (prm%rho_num_significant < 0.0_pReal) extmsg = trim(extmsg)//' rho_num_significant' + if (prm%rho_significant < 0.0_pReal) extmsg = trim(extmsg)//' rho_significant' + if (prm%atol_rho < 0.0_pReal) extmsg = trim(extmsg)//' atol_rho' + if (prm%f_c < 0.0_pReal) extmsg = trim(extmsg)//' f_c' if (prm%p <= 0.0_pReal .or. prm%p > 1.0_pReal) extmsg = trim(extmsg)//' p_sl' if (prm%q < 1.0_pReal .or. prm%q > 2.0_pReal) extmsg = trim(extmsg)//' q_sl' diff --git a/src/constitutive_plastic_phenopowerlaw.f90 b/src/constitutive_plastic_phenopowerlaw.f90 index 669778007..25a34997b 100644 --- a/src/constitutive_plastic_phenopowerlaw.f90 +++ b/src/constitutive_plastic_phenopowerlaw.f90 @@ -8,19 +8,19 @@ submodule(constitutive:constitutive_plastic) plastic_phenopowerlaw type :: tParameters real(pReal) :: & - dot_gamma_0_sl = 1.0_pReal, & !< reference shear strain rate for slip - dot_gamma_0_tw = 1.0_pReal, & !< reference shear strain rate for twin - n_sl = 1.0_pReal, & !< stress exponent for slip - n_tw = 1.0_pReal, & !< stress exponent for twin - f_sl_sat_tw = 1.0_pReal, & !< push-up factor for slip saturation due to twinning - c_1 = 1.0_pReal, & - c_2 = 1.0_pReal, & - c_3 = 1.0_pReal, & - c_4 = 1.0_pReal, & - h_0_sl_sl = 1.0_pReal, & !< reference hardening slip - slip - h_0_tw_sl = 1.0_pReal, & !< reference hardening twin - slip - h_0_tw_tw = 1.0_pReal, & !< reference hardening twin - twin - a_sl = 1.0_pReal + dot_gamma_0_sl = 1.0_pReal, & !< reference shear strain rate for slip + dot_gamma_0_tw = 1.0_pReal, & !< reference shear strain rate for twin + n_sl = 1.0_pReal, & !< stress exponent for slip + n_tw = 1.0_pReal, & !< stress exponent for twin + f_sl_sat_tw = 1.0_pReal, & !< push-up factor for slip saturation due to twinning + c_1 = 1.0_pReal, & + c_2 = 1.0_pReal, & + c_3 = 1.0_pReal, & + c_4 = 1.0_pReal, & + h_0_sl_sl = 1.0_pReal, & !< reference hardening slip - slip + h_0_tw_sl = 1.0_pReal, & !< reference hardening twin - slip + h_0_tw_tw = 1.0_pReal, & !< reference hardening twin - twin + a_sl = 1.0_pReal real(pReal), allocatable, dimension(:) :: & xi_inf_sl, & !< maximum critical shear stress for slip h_int, & !< per family hardening activity (optional) From 05835bacd3bc8ccd4831f8b4d0534658c0fd4100 Mon Sep 17 00:00:00 2001 From: Philip Eisenlohr Date: Tue, 22 Sep 2020 14:47:08 -0400 Subject: [PATCH 019/103] removed set_X(), duplicate(), and .homogenization; renamed ".microstructure" to ".materials" --- python/damask/_geom.py | 492 ++++++++++++++------------------------ python/tests/test_Geom.py | 144 +++++------ 2 files changed, 246 insertions(+), 390 deletions(-) diff --git a/python/damask/_geom.py b/python/damask/_geom.py index 7e6b6a1d3..b7a7928ca 100644 --- a/python/damask/_geom.py +++ b/python/damask/_geom.py @@ -17,29 +17,44 @@ from . import grid_filters class Geom: """Geometry definition for grid solvers.""" - def __init__(self,microstructure,size,origin=[0.0,0.0,0.0],homogenization=1,comments=[]): + def __init__(self,materials,size,origin=[0.0,0.0,0.0],comments=[]): """ - New geometry definition from array of microstructures and size. + New geometry definition from array of materials, size, and origin. Parameters ---------- - microstructure : numpy.ndarray - Microstructure array (3D) + materials : numpy.ndarray + Material index array (3D). size : list or numpy.ndarray - Physical size of the microstructure in meter. + Physical size of the geometry in meter. origin : list or numpy.ndarray, optional - Physical origin of the microstructure in meter. - homogenization : int, optional - Homogenization index. + Physical origin of the geometry in meter. comments : list of str, optional Comment lines. """ - self.set_microstructure(microstructure,inplace=True) - self.set_size(size,inplace=True) - self.set_origin(origin,inplace=True) - self.set_homogenization(homogenization,inplace=True) - self.set_comments(comments,inplace=True) + if len(materials.shape) != 3: + raise ValueError(f'Invalid materials shape {materials.shape}.') + elif materials.dtype not in np.sctypes['float'] + np.sctypes['int']: + raise TypeError(f'Invalid materials data type {materials.dtype}.') + else: + self.materials = np.copy(materials) + + if self.materials.dtype in np.sctypes['float'] and \ + np.all(self.materials == self.materials.astype(int).astype(float)): + self.materials = self.materials.astype(int) + + if len(size) != 3 or any(np.array(size) <= 0): + raise ValueError(f'Invalid size {size}.') + else: + self.size = np.array(size) + + if len(origin) != 3: + raise ValueError(f'Invalid origin {origin}.') + else: + self.origin = np.array(origin) + + self.comments = [str(c) for c in comments] if isinstance(comments,list) else [str(comments)] def __repr__(self): @@ -48,8 +63,8 @@ class Geom: f'grid a b c: {util.srepr(self.grid, " x ")}', f'size x y z: {util.srepr(self.size, " x ")}', f'origin x y z: {util.srepr(self.origin," ")}', - f'# materialpoints: {self.N_microstructure}', - f'max materialpoint: {np.nanmax(self.microstructure)}', + f'# materialpoints: {self.N_materials}', + f'max materialpoint: {np.nanmax(self.materials)}', ]) @@ -63,42 +78,6 @@ class Geom: return self.__copy__() - def duplicate(self,microstructure=None,size=None,origin=None,comments=None,autosize=False): - """ - Create a duplicate having updated microstructure, size, and origin. - - Parameters - ---------- - microstructure : numpy.ndarray, optional - Microstructure array (3D). - size : list or numpy.ndarray, optional - Physical size of the microstructure in meter. - origin : list or numpy.ndarray, optional - Physical origin of the microstructure in meter. - comments : list of str, optional - Comment lines. - autosize : bool, optional - Ignore size parameter and rescale according to change of grid points. - - """ - if size is not None and autosize: - raise ValueError('Auto-sizing conflicts with explicit size parameter.') - - grid_old = self.grid - dup = self.set_microstructure(microstructure)\ - .set_origin(origin) - - if comments is not None: - dup.set_comments(comments,inplace=True) - - if size is not None: - dup.set_size(size,inplace=True) - elif autosize: - dup.set_size(dup.grid/grid_old*self.size,inplace=True) - - return dup - - def diff(self,other): """ Report property differences of self relative to other. @@ -114,154 +93,33 @@ class Geom: message.append(util.delete(f'grid a b c: {util.srepr(other.grid," x ")}')) message.append(util.emph( f'grid a b c: {util.srepr( self.grid," x ")}')) - if np.any(other.size != self.size): + if not np.allclose(other.size,self.size): message.append(util.delete(f'size x y z: {util.srepr(other.size," x ")}')) message.append(util.emph( f'size x y z: {util.srepr( self.size," x ")}')) - if np.any(other.origin != self.origin): + if not np.allclose(other.origin,self.origin): message.append(util.delete(f'origin x y z: {util.srepr(other.origin," ")}')) message.append(util.emph( f'origin x y z: {util.srepr( self.origin," ")}')) - if other.N_microstructure != self.N_microstructure: - message.append(util.delete(f'# materialpoints: {other.N_microstructure}')) - message.append(util.emph( f'# materialpoints: { self.N_microstructure}')) + if other.N_materials != self.N_materials: + message.append(util.delete(f'# materialpoints: {other.N_materials}')) + message.append(util.emph( f'# materialpoints: { self.N_materials}')) - if np.nanmax(other.microstructure) != np.nanmax(self.microstructure): - message.append(util.delete(f'max materialpoint: {np.nanmax(other.microstructure)}')) - message.append(util.emph( f'max materialpoint: {np.nanmax( self.microstructure)}')) + if np.nanmax(other.materials) != np.nanmax(self.materials): + message.append(util.delete(f'max materialpoint: {np.nanmax(other.materials)}')) + message.append(util.emph( f'max materialpoint: {np.nanmax( self.materials)}')) return util.return_message(message) - def set_comments(self,comments,inplace=False): - """ - Replace all existing comments. - - Parameters - ---------- - comments : list of str - All comments. - - """ - target = self if inplace else self.copy() - target.comments = [] - target.add_comments(comments,inplace=True) - if not inplace: return target - - - def add_comments(self,comments,inplace=False): - """ - Append comments to existing comments. - - Parameters - ---------- - comments : list of str - New comments. - - """ - target = self if inplace else self.copy() - target.comments += [str(c) for c in comments] if isinstance(comments,list) else [str(comments)] - if not inplace: return target - - - def set_microstructure(self,microstructure,inplace=False): - """ - Replace the existing microstructure representation. - - The complete microstructure is replaced (indcluding grid definition), - unless a masked array is provided in which case the grid dimensions - need to match and masked entries are not replaced. - - Parameters - ---------- - microstructure : numpy.ndarray or numpy.ma.core.MaskedArray of shape (:,:,:) - Microstructure indices. - - """ - target = self if inplace else self.copy() - if microstructure is not None: - if isinstance(microstructure,np.ma.core.MaskedArray): - target.microstructure = np.where(microstructure.mask, - target.microstructure,microstructure.data) - else: - target.microstructure = np.copy(microstructure) - - if target.microstructure.dtype in np.sctypes['float'] and \ - np.all(target.microstructure == target.microstructure.astype(int).astype(float)): - target.microstructure = target.microstructure.astype(int) - - if len(target.microstructure.shape) != 3: - raise ValueError(f'Invalid microstructure shape {microstructure.shape}') - elif target.microstructure.dtype not in np.sctypes['float'] + np.sctypes['int']: - raise TypeError(f'Invalid microstructure data type {microstructure.dtype}') - if not inplace: return target - - - def set_size(self,size,inplace=False): - """ - Replace the existing size information. - - Parameters - ---------- - size : list or numpy.ndarray - Physical size of the microstructure in meter. - - """ - target = self if inplace else self.copy() - if size is not None: - if len(size) != 3 or any(np.array(size) <= 0): - raise ValueError(f'Invalid size {size}') - else: - target.size = np.array(size) - if not inplace: return target - - - def set_origin(self,origin,inplace=False): - """ - Replace the existing origin information. - - Parameters - ---------- - origin : list or numpy.ndarray - Physical origin of the microstructure in meter. - - """ - target = self if inplace else self.copy() - if origin is not None: - if len(origin) != 3: - raise ValueError(f'Invalid origin {origin}') - else: - target.origin = np.array(origin) - if not inplace: return target - - - def set_homogenization(self,homogenization,inplace=False): - """ - Replace the existing homogenization index. - - Parameters - ---------- - homogenization : int - Homogenization index. - - """ - target = self if inplace else self.copy() - if homogenization is not None: - if not isinstance(homogenization,int) or homogenization < 1: - raise TypeError(f'Invalid homogenization {homogenization}.') - else: - target.homogenization = homogenization - if not inplace: return target - - @property def grid(self): - return np.asarray(self.microstructure.shape) + return np.asarray(self.materials.shape) @property - def N_microstructure(self): - return np.unique(self.microstructure).size + def N_materials(self): + return np.unique(self.materials).size @staticmethod @@ -301,12 +159,10 @@ class Geom: size = np.array([float(dict(zip(items[1::2],items[2::2]))[i]) for i in ['x','y','z']]) elif key == 'origin': origin = np.array([float(dict(zip(items[1::2],items[2::2]))[i]) for i in ['x','y','z']]) - elif key == 'homogenization': - homogenization = int(items[1]) else: comments.append(line.strip()) - microstructure = np.empty(grid.prod()) # initialize as flat array + materials = np.empty(grid.prod()) # initialize as flat array i = 0 for line in content[header_length:]: items = line.split('#')[0].split() @@ -318,16 +174,16 @@ class Geom: abs(int(items[2])-int(items[0]))+1,dtype=float) else: items = list(map(float,items)) else: items = list(map(float,items)) - microstructure[i:i+len(items)] = items + materials[i:i+len(items)] = items i += len(items) if i != grid.prod(): raise TypeError(f'Invalid file: expected {grid.prod()} entries, found {i}') - if not np.any(np.mod(microstructure,1) != 0.0): # no float present - microstructure = microstructure.astype('int') + if not np.any(np.mod(materials,1) != 0.0): # no float present + materials = materials.astype('int') - return Geom(microstructure.reshape(grid,order='F'),size,origin,homogenization,comments) + return Geom(materials.reshape(grid,order='F'),size,origin,comments) @staticmethod @@ -365,7 +221,7 @@ class Geom: grid : int numpy.ndarray of shape (3) Number of grid points in x,y,z direction. size : list or numpy.ndarray of shape (3) - Physical size of the microstructure in meter. + Physical size of the geometry in meter. seeds : numpy.ndarray of shape (:,3) Position of the seed points in meter. All points need to lay within the box. weights : numpy.ndarray of shape (seeds.shape[0]) @@ -389,16 +245,17 @@ class Geom: result = pool.map_async(partial(Geom._find_closest_seed,seeds_p,weights_p), [coord for coord in coords]) pool.close() pool.join() - microstructure = np.array(result.get()) + materials = np.array(result.get()) if periodic: - microstructure = microstructure.reshape(grid*3) - microstructure = microstructure[grid[0]:grid[0]*2,grid[1]:grid[1]*2,grid[2]:grid[2]*2]%seeds.shape[0] + materials = materials.reshape(grid*3) + materials = materials[grid[0]:grid[0]*2,grid[1]:grid[1]*2,grid[2]:grid[2]*2]%seeds.shape[0] else: - microstructure = microstructure.reshape(grid) + materials = materials.reshape(grid) - return Geom(microstructure+1,size,homogenization=1, - comments=util.execution_stamp('Geom','from_Laguerre_tessellation'), + return Geom(materials = materials+1, + size = size, + comments = util.execution_stamp('Geom','from_Laguerre_tessellation'), ) @@ -412,7 +269,7 @@ class Geom: grid : int numpy.ndarray of shape (3) Number of grid points in x,y,z direction. size : list or numpy.ndarray of shape (3) - Physical size of the microstructure in meter. + Physical size of the geometry in meter. seeds : numpy.ndarray of shape (:,3) Position of the seed points in meter. All points need to lay within the box. periodic : Boolean, optional @@ -421,10 +278,11 @@ class Geom: """ coords = grid_filters.cell_coord0(grid,size).reshape(-1,3) KDTree = spatial.cKDTree(seeds,boxsize=size) if periodic else spatial.cKDTree(seeds) - devNull,microstructure = KDTree.query(coords) + devNull,materials = KDTree.query(coords) - return Geom(microstructure.reshape(grid)+1,size,homogenization=1, - comments=util.execution_stamp('Geom','from_Voronoi_tessellation'), + return Geom(materials = materials.reshape(grid)+1, + size = size, + comments = util.execution_stamp('Geom','from_Voronoi_tessellation'), ) @@ -462,21 +320,21 @@ class Geom: +[ 'grid a {} b {} c {}'.format(*geom.grid), 'size x {} y {} z {}'.format(*geom.size), 'origin x {} y {} z {}'.format(*geom.origin), - f'homogenization {geom.homogenization}', + 'homogenization 1', ] grid = geom.grid if pack is None: - plain = grid.prod()/geom.N_microstructure < 250 + plain = grid.prod()/geom.N_materials < 250 else: plain = not pack if plain: - format_string = '%g' if geom.microstructure.dtype in np.sctypes['float'] else \ - '%{}i'.format(1+int(np.floor(np.log10(np.nanmax(geom.microstructure))))) + format_string = '%g' if geom.materials.dtype in np.sctypes['float'] else \ + '%{}i'.format(1+int(np.floor(np.log10(np.nanmax(geom.materials))))) np.savetxt(fname, - geom.microstructure.reshape([grid[0],np.prod(grid[1:])],order='F').T, + geom.materials.reshape([grid[0],np.prod(grid[1:])],order='F').T, header='\n'.join(header), fmt=format_string, comments='') else: try: @@ -487,7 +345,7 @@ class Geom: compressType = None former = start = -1 reps = 0 - for current in geom.microstructure.flatten('F'): + for current in geom.materials.flatten('F'): if abs(current - former) == 1 and (start - current) == reps*(former - current): compressType = 'to' reps += 1 @@ -532,7 +390,7 @@ class Geom: """ v = VTK.from_rectilinearGrid(geom.grid,geom.size,geom.origin) - v.add(geom.microstructure.flatten(order='F'),'materialpoint') + v.add(geom.materials.flatten(order='F'),'materialpoint') v.add_comments(geom.comments) if fname: @@ -575,11 +433,11 @@ class Geom: 0 gives octahedron (|x|^(2^0) + |y|^(2^0) + |z|^(2^0) < 1) 1 gives a sphere (|x|^(2^1) + |y|^(2^1) + |z|^(2^1) < 1) fill : int, optional - Fill value for primitive. Defaults to microstructure.max() + 1. + Fill value for primitive. Defaults to materials.max() + 1. R : damask.Rotation, optional Rotation of primitive. Defaults to no rotation. inverse : Boolean, optional - Retain original microstructure within primitive and fill outside. + Retain original materials within primitive and fill outside. Defaults to False. periodic : Boolean, optional Repeat primitive over boundaries. Defaults to True. @@ -601,22 +459,23 @@ class Geom: if periodic: # translate back to center mask = np.roll(mask,((c-np.ones(3)*.5)*self.grid).astype(int),(0,1,2)) - fill_ = np.full_like(self.microstructure,np.nanmax(self.microstructure)+1 if fill is None else fill) - ms = np.ma.MaskedArray(fill_,np.logical_not(mask) if inverse else mask) + fill_ = np.full_like(self.materials,np.nanmax(self.materials)+1 if fill is None else fill) - return self.duplicate(ms, - comments=self.comments+[util.execution_stamp('Geom','add_primitive')], - ) + return Geom(materials = np.where(np.logical_not(mask) if inverse else mask, self.materials,fill_), + size = self.size, + origin = self.origin, + comments = self.comments+[util.execution_stamp('Geom','add_primitive')], + ) def mirror(self,directions,reflect=False): """ - Mirror microstructure along given directions. + Mirror geometry along given directions. Parameters ---------- directions : iterable containing str - Direction(s) along which the microstructure is mirrored. + Direction(s) along which the geometry is mirrored. Valid entries are 'x', 'y', 'z'. reflect : bool, optional Reflect (include) outermost layers. Defaults to False. @@ -627,28 +486,30 @@ class Geom: raise ValueError(f'Invalid direction {set(directions).difference(valid)} specified.') limits = [None,None] if reflect else [-2,0] - ms = self.microstructure.copy() + ms = self.materials.copy() - if 'z' in directions: - ms = np.concatenate([ms,ms[:,:,limits[0]:limits[1]:-1]],2) - if 'y' in directions: - ms = np.concatenate([ms,ms[:,limits[0]:limits[1]:-1,:]],1) if 'x' in directions: ms = np.concatenate([ms,ms[limits[0]:limits[1]:-1,:,:]],0) + if 'y' in directions: + ms = np.concatenate([ms,ms[:,limits[0]:limits[1]:-1,:]],1) + if 'z' in directions: + ms = np.concatenate([ms,ms[:,:,limits[0]:limits[1]:-1]],2) - return self.duplicate(ms, - comments=self.comments+[util.execution_stamp('Geom','mirror')], - autosize=True) + return Geom(materials = ms, + size = self.size/self.grid*np.asarray(ms.shape), + origin = self.origin, + comments = self.comments+[util.execution_stamp('Geom','mirror')], + ) def flip(self,directions): """ - Flip microstructure along given directions. + Flip geometry along given directions. Parameters ---------- directions : iterable containing str - Direction(s) along which the microstructure is flipped. + Direction(s) along which the geometry is flipped. Valid entries are 'x', 'y', 'z'. """ @@ -656,16 +517,18 @@ class Geom: if not set(directions).issubset(valid): raise ValueError(f'Invalid direction {set(directions).difference(valid)} specified.') - ms = np.flip(self.microstructure, (valid.index(d) for d in directions if d in valid)) + ms = np.flip(self.materials, (valid.index(d) for d in directions if d in valid)) - return self.duplicate(ms, - comments=self.comments+[util.execution_stamp('Geom','flip')], - ) + return Geom(materials = ms, + size = self.size, + origin = self.origin, + comments = self.comments+[util.execution_stamp('Geom','flip')], + ) def scale(self,grid,periodic=True): """ - Scale microstructure to new grid. + Scale geometry to new grid. Parameters ---------- @@ -675,21 +538,23 @@ class Geom: Assume geometry to be periodic. Defaults to True. """ - return self.duplicate(ndimage.interpolation.zoom( - self.microstructure, - grid/self.grid, - output=self.microstructure.dtype, - order=0, - mode=('wrap' if periodic else 'nearest'), - prefilter=False - ), - comments=self.comments+[util.execution_stamp('Geom','scale')], - ) + return Geom(materials = ndimage.interpolation.zoom( + self.materials, + grid/self.grid, + output=self.materials.dtype, + order=0, + mode=('wrap' if periodic else 'nearest'), + prefilter=False + ), + size = self.size, + origin = self.origin, + comments = self.comments+[util.execution_stamp('Geom','scale')], + ) def clean(self,stencil=3,selection=None,periodic=True): """ - Smooth microstructure by selecting most frequent index within given stencil at each location. + Smooth geometry by selecting most frequent material index within given stencil at each location. Parameters ---------- @@ -709,83 +574,87 @@ class Geom: else: return me - return self.duplicate(ndimage.filters.generic_filter( - self.microstructure, - mostFrequent, - size=(stencil if selection is None else stencil//2*2+1,)*3, - mode=('wrap' if periodic else 'nearest'), - extra_keywords=dict(selection=selection), - ).astype(self.microstructure.dtype), - comments=self.comments+[util.execution_stamp('Geom','clean')], - ) + return Geom(materials = ndimage.filters.generic_filter( + self.materials, + mostFrequent, + size=(stencil if selection is None else stencil//2*2+1,)*3, + mode=('wrap' if periodic else 'nearest'), + extra_keywords=dict(selection=selection), + ).astype(self.materials.dtype), + size = self.size, + origin = self.origin, + comments = self.comments+[util.execution_stamp('Geom','clean')], + ) def renumber(self): - """Renumber sorted microstructure indices to 1,...,N.""" - renumbered = np.empty(self.grid,dtype=self.microstructure.dtype) - for i, oldID in enumerate(np.unique(self.microstructure)): - renumbered = np.where(self.microstructure == oldID, i+1, renumbered) + """Renumber sorted material indices to 1,...,N.""" + renumbered = np.empty(self.grid,dtype=self.materials.dtype) + for i, oldID in enumerate(np.unique(self.materials)): + renumbered = np.where(self.materials == oldID, i+1, renumbered) - return self.duplicate(renumbered, - comments=self.comments+[util.execution_stamp('Geom','renumber')], - ) + return Geom(materials = renumbered, + size = self.size, + origin = self.origin, + comments = self.comments+[util.execution_stamp('Geom','renumber')], + ) def rotate(self,R,fill=None): """ - Rotate microstructure (pad if required). + Rotate geometry (pad if required). Parameters ---------- R : damask.Rotation - Rotation to apply to the microstructure. + Rotation to apply to the geometry. fill : int or float, optional - Microstructure index to fill the corners. Defaults to microstructure.max() + 1. + Material index to fill the corners. Defaults to materials.max() + 1. """ - if fill is None: fill = np.nanmax(self.microstructure) + 1 - dtype = float if np.isnan(fill) or int(fill) != fill or self.microstructure.dtype==np.float else int + if fill is None: fill = np.nanmax(self.materials) + 1 + dtype = float if np.isnan(fill) or int(fill) != fill or self.materials.dtype==np.float else int Eulers = R.as_Eulers(degrees=True) - microstructure_in = self.microstructure.copy() + materials_in = self.materials.copy() # These rotations are always applied in the reference coordinate system, i.e. (z,x,z) not (z,x',z'') # see https://www.cs.utexas.edu/~theshark/courses/cs354/lectures/cs354-14.pdf for angle,axes in zip(Eulers[::-1], [(0,1),(1,2),(0,1)]): - microstructure_out = ndimage.rotate(microstructure_in,angle,axes,order=0, + materials_out = ndimage.rotate(materials_in,angle,axes,order=0, prefilter=False,output=dtype,cval=fill) - if np.prod(microstructure_in.shape) == np.prod(microstructure_out.shape): + if np.prod(materials_in.shape) == np.prod(materials_out.shape): # avoid scipy interpolation errors for rotations close to multiples of 90° - microstructure_in = np.rot90(microstructure_in,k=np.rint(angle/90.).astype(int),axes=axes) + materials_in = np.rot90(materials_in,k=np.rint(angle/90.).astype(int),axes=axes) else: - microstructure_in = microstructure_out + materials_in = materials_out - origin = self.origin-(np.asarray(microstructure_in.shape)-self.grid)*.5 * self.size/self.grid + origin = self.origin-(np.asarray(materials_in.shape)-self.grid)*.5 * self.size/self.grid - return self.duplicate(microstructure_in, - origin=origin, - comments=self.comments+[util.execution_stamp('Geom','rotate')], - autosize=True, - ) + return Geom(materials = materials_in, + size = self.size/self.grid*np.asarray(materials_in.shape), + origin = origin, + comments = self.comments+[util.execution_stamp('Geom','rotate')], + ) def canvas(self,grid=None,offset=None,fill=None): """ - Crop or enlarge/pad microstructure. + Crop or enlarge/pad geometry. Parameters ---------- grid : numpy.ndarray of shape (3) Number of grid points in x,y,z direction. offset : numpy.ndarray of shape (3) - Offset (measured in grid points) from old to new microstructure[0,0,0]. + Offset (measured in grid points) from old to new geometry [0,0,0]. fill : int or float, optional - Microstructure index to fill the background. Defaults to microstructure.max() + 1. + Material index to fill the background. Defaults to materials.max() + 1. """ if offset is None: offset = 0 - if fill is None: fill = np.nanmax(self.microstructure) + 1 - dtype = float if int(fill) != fill or self.microstructure.dtype in np.sctypes['float'] else int + if fill is None: fill = np.nanmax(self.materials) + 1 + dtype = float if int(fill) != fill or self.materials.dtype in np.sctypes['float'] else int canvas = np.full(self.grid if grid is None else grid,fill,dtype) @@ -794,39 +663,41 @@ class Geom: ll = np.clip(-offset, 0,np.minimum( grid,self.grid-offset)) ur = np.clip(-offset+self.grid,0,np.minimum( grid,self.grid-offset)) - canvas[ll[0]:ur[0],ll[1]:ur[1],ll[2]:ur[2]] = self.microstructure[LL[0]:UR[0],LL[1]:UR[1],LL[2]:UR[2]] + canvas[ll[0]:ur[0],ll[1]:ur[1],ll[2]:ur[2]] = self.materials[LL[0]:UR[0],LL[1]:UR[1],LL[2]:UR[2]] - return self.duplicate(canvas, - origin=self.origin+offset*self.size/self.grid, - comments=self.comments+[util.execution_stamp('Geom','canvas')], - autosize=True, - ) + return Geom(materials = canvas, + size = self.size/self.grid*np.asarray(canvas.shape), + origin = self.origin+offset*self.size/self.grid, + comments = self.comments+[util.execution_stamp('Geom','canvas')], + ) - def substitute(self,from_microstructure,to_microstructure): + def substitute(self,from_materials,to_materials): """ - Substitute microstructure indices. + Substitute material indices. Parameters ---------- - from_microstructure : iterable of ints - Microstructure indices to be substituted. - to_microstructure : iterable of ints - New microstructure indices. + from_materials : iterable of ints + Material indices to be substituted. + to_materials : iterable of ints + New material indices. """ - substituted = self.microstructure.copy() - for from_ms,to_ms in zip(from_microstructure,to_microstructure): - substituted[self.microstructure==from_ms] = to_ms + substituted = self.materials.copy() + for from_ms,to_ms in zip(from_materials,to_materials): + substituted[self.materials==from_ms] = to_ms - return self.duplicate(substituted, - comments=self.comments+[util.execution_stamp('Geom','substitute')], - ) + return Geom(materials = substituted, + size = self.size, + origin = self.origin, + comments = self.comments+[util.execution_stamp('Geom','substitute')], + ) def vicinity_offset(self,vicinity=1,offset=None,trigger=[],periodic=True): """ - Offset microstructure index of points in the vicinity of xxx. + Offset material index of points in the vicinity of xxx. Different from themselves (or listed as triggers) within a given (cubic) vicinity, i.e. within the region close to a grain/phase boundary. @@ -835,14 +706,14 @@ class Geom: Parameters ---------- vicinity : int, optional - Voxel distance checked for presence of other microstructure. + Voxel distance checked for presence of other materials. Defaults to 1. offset : int, optional - Offset (positive or negative) to tag microstructure indices, - defaults to microstructure.max() + 1. + Offset (positive or negative) to tag material indices, + defaults to materials.max() + 1. trigger : list of ints, optional - List of microstructure indices triggering a change. - Defaults to [], meaning that different neigboors trigger a change. + List of material indices that trigger a change. + Defaults to [], meaning that any different neighbor triggers a change. periodic : Boolean, optional Assume geometry to be periodic. Defaults to True. @@ -858,14 +729,15 @@ class Geom: trigger = list(trigger) return np.any(np.in1d(stencil,np.array(trigger))) - offset_ = np.nanmax(self.microstructure) if offset is None else offset - mask = ndimage.filters.generic_filter(self.microstructure, + offset_ = np.nanmax(self.materials) if offset is None else offset + mask = ndimage.filters.generic_filter(self.materials, tainted_neighborhood, size=1+2*vicinity, mode='wrap' if periodic else 'nearest', extra_keywords={'trigger':trigger}) - microstructure = np.ma.MaskedArray(self.microstructure + offset_, np.logical_not(mask)) - return self.duplicate(microstructure, - comments=self.comments+[util.execution_stamp('Geom','vicinity_offset')], - ) + return Geom(materials = np.where(mask, self.materials + offset_,self.materials), + size = self.size, + origin = self.origin, + comments = self.comments+[util.execution_stamp('Geom','vicinity_offset')], + ) diff --git a/python/tests/test_Geom.py b/python/tests/test_Geom.py index f82272362..809aee2f9 100644 --- a/python/tests/test_Geom.py +++ b/python/tests/test_Geom.py @@ -11,8 +11,8 @@ from damask import util def geom_equal(a,b): - return np.all(a.microstructure == b.microstructure) and \ - np.all(a.grid == b.grid) and \ + return np.all(a.materials == b.materials) and \ + np.all(a.grid == b.grid) and \ np.allclose(a.size, b.size) and \ str(a.diff(b)) == str(b.diff(a)) @@ -33,64 +33,21 @@ def reference_dir(reference_dir_base): class TestGeom: - @pytest.mark.parametrize('flavor',['plain','explicit']) - def test_duplicate(self,default,flavor): - if flavor == 'plain': - modified = default.duplicate() - elif flavor == 'explicit': - modified = default.duplicate( - default.microstructure, - default.size, - default.origin - ) - print(modified) - assert geom_equal(default,modified) - def test_diff_equal(self,default): assert str(default.diff(default)) == '' + def test_diff_not_equal(self,default): - new = Geom(default.microstructure[1:,1:,1:]+1,default.size*.9,np.ones(3)-default.origin,comments=['modified']) + new = Geom(default.materials[1:,1:,1:]+1,default.size*.9,np.ones(3)-default.origin,comments=['modified']) assert str(default.diff(new)) != '' - def test_set_inplace_outofplace_homogenization(self,default): - default.set_homogenization(123,inplace=True) - outofplace = default.set_homogenization(321,inplace=False) - assert default.homogenization == 123 and outofplace.homogenization == 321 - - - def test_set_inplace_outofplace_microstructure(self,default): - default.set_microstructure(np.arange(72).reshape((2,4,9)),inplace=True) - outofplace = default.set_microstructure(np.arange(72).reshape((8,3,3)),inplace=False) - assert np.array_equal(default.grid,[2,4,9]) and np.array_equal(outofplace.grid,[8,3,3]) - - - def test_set_inplace_outofplace_size(self,default): - default.set_size(np.array([1,2,3]),inplace=True) - outofplace = default.set_size(np.array([3,2,1]),inplace=False) - assert np.array_equal(default.size,[1,2,3]) and np.array_equal(outofplace.size,[3,2,1]) - - - def test_set_inplace_outofplace_comments(self,default): - default.set_comments(['a','and','b'],inplace=True) - outofplace = default.set_comments(['b','or','a'],inplace=False) - assert default.comments == ['a','and','b'] and outofplace.comments == ['b','or','a'] - - - @pytest.mark.parametrize('masked',[True,False]) - def test_set_microstructure(self,default,masked): - old = default.microstructure - new = np.random.randint(200,size=default.grid) - default.set_microstructure(np.ma.MaskedArray(new,np.full_like(new,masked)),inplace=True) - assert np.all(default.microstructure==(old if masked else new)) - - def test_write_read_str(self,default,tmpdir): default.to_file(str(tmpdir/'default.geom'),format='ASCII') new = Geom.from_file(str(tmpdir/'default.geom')) assert geom_equal(default,new) + def test_write_read_file(self,default,tmpdir): with open(tmpdir/'default.geom','w') as f: default.to_file(f,format='ASCII',pack=True) @@ -98,6 +55,7 @@ class TestGeom: new = Geom.from_file(f) assert geom_equal(default,new) + def test_write_as_ASCII(self,default,tmpdir): with open(tmpdir/'str.geom','w') as f: f.write(default.as_ASCII()) @@ -105,6 +63,7 @@ class TestGeom: new = Geom.from_file(f) assert geom_equal(default,new) + def test_read_write_vtr(self,default,tmpdir): default.to_file(tmpdir/'default',format='vtr') for _ in range(10): @@ -114,6 +73,7 @@ class TestGeom: new = Geom.from_vtr(tmpdir/'default.vtr') assert geom_equal(new,default) + def test_invalid_geom(self,tmpdir): with open('invalid_file','w') as f: f.write('this is not a valid header') @@ -121,6 +81,7 @@ class TestGeom: with pytest.raises(TypeError): Geom.from_file(f) + def test_invalid_vtr(self,tmpdir): v = VTK.from_rectilinearGrid(np.random.randint(5,10,3)*2,np.random.random(3) + 1.0) v.to_file(tmpdir/'no_materialpoint.vtr') @@ -137,36 +98,38 @@ class TestGeom: new = Geom.from_file(tmpdir/'default.geom') assert geom_equal(new,default) - def test_invalid_combination(self,default): - with pytest.raises(ValueError): - default.duplicate(default.microstructure[1:,1:,1:],size=np.ones(3), autosize=True) def test_invalid_size(self,default): with pytest.raises(ValueError): - default.duplicate(default.microstructure[1:,1:,1:],size=np.ones(2)) + Geom(default.materials[1:,1:,1:], + size=np.ones(2)) + def test_invalid_origin(self,default): with pytest.raises(ValueError): - default.duplicate(default.microstructure[1:,1:,1:],origin=np.ones(4)) + Geom(default.materials[1:,1:,1:], + size=np.ones(3), + origin=np.ones(4)) - def test_invalid_microstructure_size(self,default): - microstructure = np.ones((3,3)) + + def test_invalid_materials_shape(self,default): + materials = np.ones((3,3)) with pytest.raises(ValueError): - default.duplicate(microstructure) + Geom(materials, + size=np.ones(3)) - def test_invalid_microstructure_type(self,default): - microstructure = np.random.randint(1,300,(3,4,5))==1 - with pytest.raises(TypeError): - default.duplicate(microstructure) - def test_invalid_homogenization(self,default): + def test_invalid_materials_type(self,default): + materials = np.random.randint(1,300,(3,4,5))==1 with pytest.raises(TypeError): - default.set_homogenization(homogenization=0) + Geom(materials) + def test_invalid_write_format(self,default): with pytest.raises(TypeError): default.to_file(format='invalid') + @pytest.mark.parametrize('directions,reflect',[ (['x'], False), (['x','y','z'],True), @@ -182,6 +145,7 @@ class TestGeom: assert geom_equal(Geom.from_file(reference), modified) + @pytest.mark.parametrize('directions',[(1,2,'y'),('a','b','x'),[1]]) def test_mirror_invalid(self,default,directions): with pytest.raises(ValueError): @@ -203,13 +167,16 @@ class TestGeom: assert geom_equal(Geom.from_file(reference), modified) + def test_flip_invariant(self,default): assert geom_equal(default,default.flip([])) + @pytest.mark.parametrize('direction',[['x'],['x','y']]) def test_flip_double(self,default,direction): assert geom_equal(default,default.flip(direction).flip(direction)) + @pytest.mark.parametrize('directions',[(1,2,'y'),('a','b','x'),[1]]) def test_flip_invalid(self,default,directions): with pytest.raises(ValueError): @@ -231,6 +198,7 @@ class TestGeom: current ) + @pytest.mark.parametrize('grid',[ (10,11,10), [10,13,10], @@ -248,22 +216,29 @@ class TestGeom: assert geom_equal(Geom.from_file(reference), modified) + def test_renumber(self,default): - microstructure = default.microstructure.copy() - for m in np.unique(microstructure): - microstructure[microstructure==m] = microstructure.max() + np.random.randint(1,30) - modified = default.duplicate(microstructure) + materials = default.materials.copy() + for m in np.unique(materials): + materials[materials==m] = materials.max() + np.random.randint(1,30) + modified = Geom(materials, + default.size, + default.origin) assert not geom_equal(modified,default) assert geom_equal(default, modified.renumber()) + def test_substitute(self,default): offset = np.random.randint(1,500) - modified = default.duplicate(default.microstructure + offset) + modified = Geom(default.materials + offset, + default.size, + default.origin) assert not geom_equal(modified,default) assert geom_equal(default, - modified.substitute(np.arange(default.microstructure.max())+1+offset, - np.arange(default.microstructure.max())+1)) + modified.substitute(np.arange(default.materials.max())+1+offset, + np.arange(default.materials.max())+1)) + @pytest.mark.parametrize('axis_angle',[np.array([1,0,0,86.7]), np.array([0,1,0,90.4]), np.array([0,0,1,90]), np.array([1,0,0,175]),np.array([0,-1,0,178]),np.array([0,0,1,180])]) @@ -273,6 +248,7 @@ class TestGeom: modified.rotate(Rotation.from_axis_angle(axis_angle,degrees=True)) assert geom_equal(default,modified) + @pytest.mark.parametrize('Eulers',[[32.0,68.0,21.0], [0.0,32.0,240.0]]) def test_rotate(self,default,update,reference_dir,Eulers): @@ -283,11 +259,13 @@ class TestGeom: assert geom_equal(Geom.from_file(reference), modified) + def test_canvas(self,default): grid = default.grid grid_add = np.random.randint(0,30,(3)) modified = default.canvas(grid + grid_add) - assert np.all(modified.microstructure[:grid[0],:grid[1],:grid[2]] == default.microstructure) + assert np.all(modified.materials[:grid[0],:grid[1],:grid[2]] == default.materials) + @pytest.mark.parametrize('center1,center2',[(np.random.random(3)*.5,np.random.random()*8), (np.random.randint(4,8,(3)),np.random.randint(9,12,(3)))]) @@ -300,13 +278,14 @@ class TestGeom: np.random.rand()*4, np.random.randint(20)]) def test_add_primitive_shift(self,center1,center2,diameter,exponent): - """Same volume fraction for periodic microstructures and different center.""" + """Same volume fraction for periodic geometries and different center.""" o = np.random.random(3)-.5 g = np.random.randint(8,32,(3)) s = np.random.random(3)+.5 G_1 = Geom(np.ones(g,'i'),s,o).add_primitive(diameter,center1,exponent) G_2 = Geom(np.ones(g,'i'),s,o).add_primitive(diameter,center2,exponent) - assert np.count_nonzero(G_1.microstructure!=2) == np.count_nonzero(G_2.microstructure!=2) + assert np.count_nonzero(G_1.materials!=2) == np.count_nonzero(G_2.materials!=2) + @pytest.mark.parametrize('center',[np.random.randint(4,10,(3)), np.random.randint(2,10), @@ -323,6 +302,7 @@ class TestGeom: G_2 = Geom(np.ones(g,'i'),[1.,1.,1.]).add_primitive(.3,center,1,fill,Rotation.from_Eulers(eu),inverse,periodic=periodic) assert geom_equal(G_1,G_2) + @pytest.mark.parametrize('trigger',[[1],[]]) def test_vicinity_offset(self,trigger): offset = np.random.randint(2,4) @@ -341,13 +321,15 @@ class TestGeom: geom = Geom(m,np.random.rand(3)).vicinity_offset(vicinity,offset,trigger=trigger) - assert np.all(m2==geom.microstructure) + assert np.all(m2==geom.materials) + @pytest.mark.parametrize('periodic',[True,False]) def test_vicinity_offset_invariant(self,default,periodic): - offset = default.vicinity_offset(trigger=[default.microstructure.max()+1, - default.microstructure.min()-1]) - assert np.all(offset.microstructure==default.microstructure) + offset = default.vicinity_offset(trigger=[default.materials.max()+1, + default.materials.min()-1]) + assert np.all(offset.materials==default.materials) + @pytest.mark.parametrize('periodic',[True,False]) def test_tessellation_approaches(self,periodic): @@ -359,6 +341,7 @@ class TestGeom: Laguerre = Geom.from_Laguerre_tessellation(grid,size,seeds,np.ones(N_seeds),periodic) assert geom_equal(Laguerre,Voronoi) + def test_Laguerre_weights(self): grid = np.random.randint(10,20,3) size = np.random.random(3) + 1.0 @@ -368,17 +351,18 @@ class TestGeom: ms = np.random.randint(1, N_seeds+1) weights[ms-1] = np.random.random() Laguerre = Geom.from_Laguerre_tessellation(grid,size,seeds,weights,np.random.random()>0.5) - assert np.all(Laguerre.microstructure == ms) + assert np.all(Laguerre.materials == ms) + @pytest.mark.parametrize('approach',['Laguerre','Voronoi']) def test_tessellate_bicrystal(self,approach): grid = np.random.randint(5,10,3)*2 size = grid.astype(np.float) seeds = np.vstack((size*np.array([0.5,0.25,0.5]),size*np.array([0.5,0.75,0.5]))) - microstructure = np.ones(grid) - microstructure[:,grid[1]//2:,:] = 2 + materials = np.ones(grid) + materials[:,grid[1]//2:,:] = 2 if approach == 'Laguerre': geom = Geom.from_Laguerre_tessellation(grid,size,seeds,np.ones(2),np.random.random()>0.5) elif approach == 'Voronoi': geom = Geom.from_Voronoi_tessellation(grid,size,seeds, np.random.random()>0.5) - assert np.all(geom.microstructure == microstructure) + assert np.all(geom.materials == materials) From de3e13df8862689457e43fef56792dd17f5186b6 Mon Sep 17 00:00:00 2001 From: Sharan Roongta Date: Wed, 23 Sep 2020 00:55:19 +0200 Subject: [PATCH 020/103] improved parameter names --- PRIVATE | 2 +- src/constitutive_plastic_disloTungsten.f90 | 20 +++++++------- src/constitutive_plastic_kinehardening.f90 | 2 +- src/constitutive_plastic_nonlocal.f90 | 32 +++++++++++----------- src/constitutive_plastic_phenopowerlaw.f90 | 2 +- 5 files changed, 29 insertions(+), 29 deletions(-) diff --git a/PRIVATE b/PRIVATE index 555f3e01f..f7b371f12 160000 --- a/PRIVATE +++ b/PRIVATE @@ -1 +1 @@ -Subproject commit 555f3e01f2b5cf43ade1bd48423b890adca21771 +Subproject commit f7b371f12950398b61b1ab41fe126c6045e4e686 diff --git a/src/constitutive_plastic_disloTungsten.f90 b/src/constitutive_plastic_disloTungsten.f90 index bef25f420..c5459c3af 100644 --- a/src/constitutive_plastic_disloTungsten.f90 +++ b/src/constitutive_plastic_disloTungsten.f90 @@ -21,7 +21,7 @@ submodule(constitutive:constitutive_plastic) plastic_disloTungsten D_a, & i_sl, & !< Adj. parameter for distance between 2 forest dislocations f_at, & !< factor to calculate atomic volume - tau_peierls, & !< Peierls stress + tau_Peierls, & !< Peierls stress !* mobility law parameters Q_s, & !< activation energy for glide [J] v_0, & !< dislocation velocity prefactor [m/s] @@ -142,7 +142,7 @@ module function plastic_disloTungsten_init() result(myPlasticity) phase%get_asFloat('c/a',defaultVal=0.0_pReal)) if(trim(phase%get_asString('lattice')) == 'bcc') then - a = pl%get_asFloats('nonSchmid_coefficients',defaultVal = emptyRealArray) + a = pl%get_asFloats('a_nonSchmid',defaultVal = emptyRealArray) prm%nonSchmid_pos = lattice_nonSchmidMatrix(N_sl,a,+1) prm%nonSchmid_neg = lattice_nonSchmidMatrix(N_sl,a,-1) else @@ -163,7 +163,7 @@ module function plastic_disloTungsten_init() result(myPlasticity) prm%Q_s = pl%get_asFloats('Q_s', requiredSize=size(N_sl)) prm%i_sl = pl%get_asFloats('i_sl', requiredSize=size(N_sl)) - prm%tau_peierls = pl%get_asFloats('tau_peierls', requiredSize=size(N_sl)) + prm%tau_Peierls = pl%get_asFloats('tau_Peierls', requiredSize=size(N_sl)) prm%p = pl%get_asFloats('p_sl', requiredSize=size(N_sl), & defaultVal=[(1.0_pReal,i=1,size(N_sl))]) prm%q = pl%get_asFloats('q_sl', requiredSize=size(N_sl), & @@ -191,7 +191,7 @@ module function plastic_disloTungsten_init() result(myPlasticity) prm%h = math_expand(prm%h, N_sl) prm%w = math_expand(prm%w, N_sl) prm%omega = math_expand(prm%omega, N_sl) - prm%tau_peierls = math_expand(prm%tau_peierls, N_sl) + prm%tau_Peierls = math_expand(prm%tau_Peierls, N_sl) prm%v_0 = math_expand(prm%v_0, N_sl) prm%B = math_expand(prm%B, N_sl) prm%i_sl = math_expand(prm%i_sl, N_sl) @@ -206,13 +206,13 @@ module function plastic_disloTungsten_init() result(myPlasticity) if (any(prm%v_0 < 0.0_pReal)) extmsg = trim(extmsg)//' v_0' if (any(prm%b_sl <= 0.0_pReal)) extmsg = trim(extmsg)//' b_sl' if (any(prm%Q_s <= 0.0_pReal)) extmsg = trim(extmsg)//' Q_s' - if (any(prm%tau_peierls < 0.0_pReal)) extmsg = trim(extmsg)//' tau_peierls' + if (any(prm%tau_Peierls < 0.0_pReal)) extmsg = trim(extmsg)//' tau_Peierls' if (any(prm%D_a <= 0.0_pReal)) extmsg = trim(extmsg)//' D_a or b_sl' if (any(prm%f_at <= 0.0_pReal)) extmsg = trim(extmsg)//' f_at or b_sl' else slipActive rho_mob_0= emptyRealArray; rho_dip_0 = emptyRealArray - allocate(prm%b_sl,prm%D_a,prm%i_sl,prm%f_at,prm%tau_peierls, & + allocate(prm%b_sl,prm%D_a,prm%i_sl,prm%f_at,prm%tau_Peierls, & prm%Q_s,prm%v_0,prm%p,prm%q,prm%B,prm%h,prm%w,prm%omega, & source = emptyRealArray) allocate(prm%forestProjection(0,0)) @@ -482,7 +482,7 @@ pure subroutine kinetics(Mp,T,instance,of, & effectiveLength => dst%Lambda_sl(:,of) - prm%w) significantPositiveTau: where(abs(tau_pos)-dst%threshold_stress(:,of) > tol_math_check) - StressRatio = (abs(tau_pos)-dst%threshold_stress(:,of))/prm%tau_peierls + StressRatio = (abs(tau_pos)-dst%threshold_stress(:,of))/prm%tau_Peierls StressRatio_p = StressRatio** prm%p StressRatio_pminus1 = StressRatio**(prm%p-1.0_pReal) needsGoodName = exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q) @@ -500,7 +500,7 @@ pure subroutine kinetics(Mp,T,instance,of, & if (present(ddot_gamma_dtau_pos)) then significantPositiveTau2: where(abs(tau_pos)-dst%threshold_stress(:,of) > tol_math_check) dtn = -1.0_pReal * t_n * BoltzmannRatio * prm%p * prm%q * (1.0_pReal-StressRatio_p)**(prm%q - 1.0_pReal) & - * (StressRatio)**(prm%p - 1.0_pReal) / prm%tau_peierls + * (StressRatio)**(prm%p - 1.0_pReal) / prm%tau_Peierls dtk = -1.0_pReal * t_k / tau_pos dvel = -1.0_pReal * prm%h * (dtk + dtn) / (t_n + t_k)**2.0_pReal @@ -512,7 +512,7 @@ pure subroutine kinetics(Mp,T,instance,of, & endif significantNegativeTau: where(abs(tau_neg)-dst%threshold_stress(:,of) > tol_math_check) - StressRatio = (abs(tau_neg)-dst%threshold_stress(:,of))/prm%tau_peierls + StressRatio = (abs(tau_neg)-dst%threshold_stress(:,of))/prm%tau_Peierls StressRatio_p = StressRatio** prm%p StressRatio_pminus1 = StressRatio**(prm%p-1.0_pReal) needsGoodName = exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q) @@ -530,7 +530,7 @@ pure subroutine kinetics(Mp,T,instance,of, & if (present(ddot_gamma_dtau_neg)) then significantNegativeTau2: where(abs(tau_neg)-dst%threshold_stress(:,of) > tol_math_check) dtn = -1.0_pReal * t_n * BoltzmannRatio * prm%p * prm%q * (1.0_pReal-StressRatio_p)**(prm%q - 1.0_pReal) & - * (StressRatio)**(prm%p - 1.0_pReal) / prm%tau_peierls + * (StressRatio)**(prm%p - 1.0_pReal) / prm%tau_Peierls dtk = -1.0_pReal * t_k / tau_neg dvel = -1.0_pReal * prm%h * (dtk + dtn) / (t_n + t_k)**2.0_pReal diff --git a/src/constitutive_plastic_kinehardening.f90 b/src/constitutive_plastic_kinehardening.f90 index 813b5554f..fc0b0f235 100644 --- a/src/constitutive_plastic_kinehardening.f90 +++ b/src/constitutive_plastic_kinehardening.f90 @@ -125,7 +125,7 @@ module function plastic_kinehardening_init() result(myPlasticity) phase%get_asFloat('c/a',defaultVal=0.0_pReal)) if(trim(phase%get_asString('lattice')) == 'bcc') then - a = pl%get_asFloats('nonSchmid_coefficients',defaultVal = emptyRealArray) + a = pl%get_asFloats('a_nonSchmid',defaultVal = emptyRealArray) if(size(a) > 0) prm%nonSchmidActive = .true. prm%nonSchmid_pos = lattice_nonSchmidMatrix(N_sl,a,+1) prm%nonSchmid_neg = lattice_nonSchmidMatrix(N_sl,a,-1) diff --git a/src/constitutive_plastic_nonlocal.f90 b/src/constitutive_plastic_nonlocal.f90 index 6d03f8dae..c289e2d82 100644 --- a/src/constitutive_plastic_nonlocal.f90 +++ b/src/constitutive_plastic_nonlocal.f90 @@ -67,8 +67,8 @@ submodule(constitutive:constitutive_plastic) plastic_nonlocal Q_cl, & !< activation enthalpy for diffusion atol_rho, & !< absolute tolerance for dislocation density in state integration rho_significant, & !< density considered significant - rho_num_significant, & !< number of dislocations considered significant - w, & !< width of a doubkle kink in multiples of the burgers vector length b + rho_min, & !< number of dislocations considered significant + w, & !< width of a doubkle kink in multiples of the Burgers vector length b Q_sol, & !< activation energy for solid solution in J f_sol, & !< solid solution obstacle size in multiples of the burgers vector length c_sol, & !< concentration of solid solution in atomic parts @@ -87,8 +87,8 @@ submodule(constitutive:constitutive_plastic) plastic_nonlocal real(pReal), dimension(:), allocatable :: & d_ed, & !< minimum stable edge dipole height d_sc, & !< minimum stable screw dipole height - tau_peierls_ed, & - tau_peierls_sc, & + tau_Peierls_ed, & + tau_Peierls_sc, & i_sl, & !< mean free path prefactor for each b_sl !< absolute length of burgers vector [m] real(pReal), dimension(:,:), allocatable :: & @@ -244,7 +244,7 @@ module function plastic_nonlocal_init() result(myPlasticity) phase%get_asFloat('c/a',defaultVal=0.0_pReal)) if(trim(phase%get_asString('lattice')) == 'bcc') then - a = pl%get_asFloats('nonSchmid_coefficients',defaultVal = emptyRealArray) + a = pl%get_asFloats('a_nonSchmid',defaultVal = emptyRealArray) if(size(a) > 0) prm%nonSchmidActive = .true. prm%nonSchmid_pos = lattice_nonSchmidMatrix(ini%N_sl,a,+1) prm%nonSchmid_neg = lattice_nonSchmidMatrix(ini%N_sl,a,-1) @@ -300,16 +300,16 @@ module function plastic_nonlocal_init() result(myPlasticity) prm%minDipoleHeight(:,1) = prm%d_ed prm%minDipoleHeight(:,2) = prm%d_sc - prm%tau_peierls_ed = pl%get_asFloats('tau_peierls_ed', requiredSize=size(ini%N_sl)) - prm%tau_peierls_sc = pl%get_asFloats('tau_peierls_sc', requiredSize=size(ini%N_sl)) - prm%tau_peierls_ed = math_expand(prm%tau_peierls_ed,ini%N_sl) - prm%tau_peierls_sc = math_expand(prm%tau_peierls_sc,ini%N_sl) + prm%tau_Peierls_ed = pl%get_asFloats('tau_Peierls_ed', requiredSize=size(ini%N_sl)) + prm%tau_Peierls_sc = pl%get_asFloats('tau_Peierls_sc', requiredSize=size(ini%N_sl)) + prm%tau_Peierls_ed = math_expand(prm%tau_Peierls_ed,ini%N_sl) + prm%tau_Peierls_sc = math_expand(prm%tau_Peierls_sc,ini%N_sl) allocate(prm%peierlsstress(prm%sum_N_sl,2)) - prm%peierlsstress(:,1) = prm%tau_peierls_ed - prm%peierlsstress(:,2) = prm%tau_peierls_sc + prm%peierlsstress(:,1) = prm%tau_Peierls_ed + prm%peierlsstress(:,2) = prm%tau_Peierls_sc prm%rho_significant = pl%get_asFloat('rho_significant') - prm%rho_num_significant = pl%get_asFloat('rho_num_significant', 0.0_pReal) + prm%rho_min = pl%get_asFloat('rho_min', 0.0_pReal) prm%f_c = pl%get_asFloat('f_c',defaultVal=2.0_pReal) prm%V_at = pl%get_asFloat('V_at') @@ -363,7 +363,7 @@ module function plastic_nonlocal_init() result(myPlasticity) if (prm%D_0 < 0.0_pReal) extmsg = trim(extmsg)//' D_0' if (prm%V_at <= 0.0_pReal) extmsg = trim(extmsg)//' V_at' ! ToDo: in disloTungsten, the atomic volume is given as a factor - if (prm%rho_num_significant < 0.0_pReal) extmsg = trim(extmsg)//' rho_num_significant' + if (prm%rho_min < 0.0_pReal) extmsg = trim(extmsg)//' rho_min' if (prm%rho_significant < 0.0_pReal) extmsg = trim(extmsg)//' rho_significant' if (prm%atol_rho < 0.0_pReal) extmsg = trim(extmsg)//' atol_rho' if (prm%f_c < 0.0_pReal) extmsg = trim(extmsg)//' f_c' @@ -1334,7 +1334,7 @@ function rhoDotFlux(F,Fp,timestep, instance,of,ip,el) neighbor_rhoSgl0(s,t) = max(plasticState(np)%state0(iRhoU(s,t,neighbor_instance),no),0.0_pReal) endforall - where (neighbor_rhoSgl0 * IPvolume(neighbor_ip,neighbor_el) ** 0.667_pReal < prm%rho_num_significant & + where (neighbor_rhoSgl0 * IPvolume(neighbor_ip,neighbor_el) ** 0.667_pReal < prm%rho_min & .or. neighbor_rhoSgl0 < prm%rho_significant) & neighbor_rhoSgl0 = 0.0_pReal normal_neighbor2me_defConf = math_det33(Favg) * matmul(math_inv33(transpose(Favg)), & @@ -1805,7 +1805,7 @@ pure function getRho(instance,of,ip,el) getRho(:,mob) = max(getRho(:,mob),0.0_pReal) getRho(:,dip) = max(getRho(:,dip),0.0_pReal) - where(abs(getRho) < max(prm%rho_num_significant/IPvolume(ip,el)**(2.0_pReal/3.0_pReal),prm%rho_significant)) & + where(abs(getRho) < max(prm%rho_min/IPvolume(ip,el)**(2.0_pReal/3.0_pReal),prm%rho_significant)) & getRho = 0.0_pReal end associate @@ -1830,7 +1830,7 @@ pure function getRho0(instance,of,ip,el) getRho0(:,mob) = max(getRho0(:,mob),0.0_pReal) getRho0(:,dip) = max(getRho0(:,dip),0.0_pReal) - where(abs(getRho0) < max(prm%rho_num_significant/IPvolume(ip,el)**(2.0_pReal/3.0_pReal),prm%rho_significant)) & + where(abs(getRho0) < max(prm%rho_min/IPvolume(ip,el)**(2.0_pReal/3.0_pReal),prm%rho_significant)) & getRho0 = 0.0_pReal end associate diff --git a/src/constitutive_plastic_phenopowerlaw.f90 b/src/constitutive_plastic_phenopowerlaw.f90 index 25a34997b..48137d94e 100644 --- a/src/constitutive_plastic_phenopowerlaw.f90 +++ b/src/constitutive_plastic_phenopowerlaw.f90 @@ -120,7 +120,7 @@ module function plastic_phenopowerlaw_init() result(myPlasticity) phase%get_asFloat('c/a',defaultVal=0.0_pReal)) if(phase%get_asString('lattice') == 'bcc') then - a = pl%get_asFloats('nonSchmid_coefficients',defaultVal=emptyRealArray) + a = pl%get_asFloats('a_nonSchmid',defaultVal=emptyRealArray) if(size(a) > 0) prm%nonSchmidActive = .true. prm%nonSchmid_pos = lattice_nonSchmidMatrix(N_sl,a,+1) prm%nonSchmid_neg = lattice_nonSchmidMatrix(N_sl,a,-1) From 190b90d3d482e526b00d8b9787ad891f8f35f2db Mon Sep 17 00:00:00 2001 From: Sharan Roongta Date: Wed, 23 Sep 2020 01:08:13 +0200 Subject: [PATCH 021/103] all source mechanisms covered --- src/source_damage_anisoBrittle.f90 | 38 ++++++++++++++--------------- src/source_damage_anisoDuctile.f90 | 18 +++++++------- src/source_damage_isoDuctile.f90 | 14 +++++------ src/source_thermal_externalheat.f90 | 18 +++++++------- 4 files changed, 44 insertions(+), 44 deletions(-) diff --git a/src/source_damage_anisoBrittle.f90 b/src/source_damage_anisoBrittle.f90 index 6dd58fe5b..cd6e3a5b0 100644 --- a/src/source_damage_anisoBrittle.f90 +++ b/src/source_damage_anisoBrittle.f90 @@ -12,11 +12,11 @@ submodule (constitutive:constitutive_damage) source_damage_anisoBrittle type :: tParameters !< container type for internal constitutive parameters real(pReal) :: & - sdot_0, & !< opening rate of cleavage planes - n !< damage rate sensitivity + dot_o, & !< opening rate of cleavage planes + q !< damage rate sensitivity real(pReal), dimension(:), allocatable :: & - critDisp, & !< critical displacement - critLoad !< critical load + s_crit, & !< critical displacement + g_crit !< critical load real(pReal), dimension(:,:,:,:), allocatable :: & cleavage_systems integer :: & @@ -75,18 +75,18 @@ module function source_damage_anisoBrittle_init(source_length) result(mySources) N_cl = src%get_asInts('N_cl',defaultVal=emptyIntArray) prm%sum_N_cl = sum(abs(N_cl)) - prm%n = src%get_asFloat('q') - prm%sdot_0 = src%get_asFloat('dot_o') + prm%q = src%get_asFloat('q') + prm%dot_o = src%get_asFloat('dot_o') - prm%critDisp = src%get_asFloats('s_crit', requiredSize=size(N_cl)) - prm%critLoad = src%get_asFloats('g_crit', requiredSize=size(N_cl)) + prm%s_crit = src%get_asFloats('s_crit', requiredSize=size(N_cl)) + prm%g_crit = src%get_asFloats('g_crit', requiredSize=size(N_cl)) prm%cleavage_systems = lattice_SchmidMatrix_cleavage(N_cl,phase%get_asString('lattice'),& phase%get_asFloat('c/a',defaultVal=0.0_pReal)) ! expand: family => system - prm%critDisp = math_expand(prm%critDisp,N_cl) - prm%critLoad = math_expand(prm%critLoad,N_cl) + prm%s_crit = math_expand(prm%s_crit,N_cl) + prm%g_crit = math_expand(prm%g_crit,N_cl) #if defined (__GFORTRAN__) prm%output = output_asStrings(src) @@ -95,10 +95,10 @@ module function source_damage_anisoBrittle_init(source_length) result(mySources) #endif ! sanity checks - if (prm%n <= 0.0_pReal) extmsg = trim(extmsg)//' q' - if (prm%sdot_0 <= 0.0_pReal) extmsg = trim(extmsg)//' dot_o' - if (any(prm%critLoad < 0.0_pReal)) extmsg = trim(extmsg)//' g_crit' - if (any(prm%critDisp < 0.0_pReal)) extmsg = trim(extmsg)//' s_crit' + if (prm%q <= 0.0_pReal) extmsg = trim(extmsg)//' q' + if (prm%dot_o <= 0.0_pReal) extmsg = trim(extmsg)//' dot_o' + if (any(prm%g_crit < 0.0_pReal)) extmsg = trim(extmsg)//' g_crit' + if (any(prm%s_crit < 0.0_pReal)) extmsg = trim(extmsg)//' s_crit' NipcMyPhase = count(material_phaseAt==p) * discretization_nIP call constitutive_allocateState(sourceState(p)%p(sourceOffset),NipcMyPhase,1,1,0) @@ -152,14 +152,14 @@ module subroutine source_damage_anisoBrittle_dotState(S, ipc, ip, el) traction_t = math_tensordot(S,prm%cleavage_systems(1:3,1:3,2,i)) traction_n = math_tensordot(S,prm%cleavage_systems(1:3,1:3,3,i)) - traction_crit = prm%critLoad(i)*damage(homog)%p(damageOffset)**2.0_pReal + traction_crit = prm%g_crit(i)*damage(homog)%p(damageOffset)**2.0_pReal sourceState(phase)%p(sourceOffset)%dotState(1,constituent) & = sourceState(phase)%p(sourceOffset)%dotState(1,constituent) & - + prm%sdot_0 / prm%critDisp(i) & - * ((max(0.0_pReal, abs(traction_d) - traction_crit)/traction_crit)**prm%n + & - (max(0.0_pReal, abs(traction_t) - traction_crit)/traction_crit)**prm%n + & - (max(0.0_pReal, abs(traction_n) - traction_crit)/traction_crit)**prm%n) + + prm%dot_o / prm%s_crit(i) & + * ((max(0.0_pReal, abs(traction_d) - traction_crit)/traction_crit)**prm%q + & + (max(0.0_pReal, abs(traction_t) - traction_crit)/traction_crit)**prm%q + & + (max(0.0_pReal, abs(traction_n) - traction_crit)/traction_crit)**prm%q) enddo end associate diff --git a/src/source_damage_anisoDuctile.f90 b/src/source_damage_anisoDuctile.f90 index 37681a23f..a1826dc30 100644 --- a/src/source_damage_anisoDuctile.f90 +++ b/src/source_damage_anisoDuctile.f90 @@ -12,9 +12,9 @@ submodule(constitutive:constitutive_damage) source_damage_anisoDuctile type :: tParameters !< container type for internal constitutive parameters real(pReal) :: & - n !< damage rate sensitivity + q !< damage rate sensitivity real(pReal), dimension(:), allocatable :: & - critPlasticStrain !< critical plastic strain per slip system + gamma_crit !< critical plastic strain per slip system character(len=pStringLen), allocatable, dimension(:) :: & output end type tParameters @@ -67,12 +67,12 @@ module function source_damage_anisoDuctile_init(source_length) result(mySources) associate(prm => param(source_damage_anisoDuctile_instance(p))) src => sources%get(sourceOffset) - N_sl = pl%get_asInts('N_sl',defaultVal=emptyIntArray) - prm%n = src%get_asFloat('q') - prm%critPlasticStrain = src%get_asFloats('gamma_crit',requiredSize=size(N_sl)) + N_sl = pl%get_asInts('N_sl',defaultVal=emptyIntArray) + prm%q = src%get_asFloat('q') + prm%gamma_crit = src%get_asFloats('gamma_crit',requiredSize=size(N_sl)) ! expand: family => system - prm%critPlasticStrain = math_expand(prm%critPlasticStrain,N_sl) + prm%gamma_crit = math_expand(prm%gamma_crit,N_sl) #if defined (__GFORTRAN__) prm%output = output_asStrings(src) @@ -81,8 +81,8 @@ module function source_damage_anisoDuctile_init(source_length) result(mySources) #endif ! sanity checks - if (prm%n <= 0.0_pReal) extmsg = trim(extmsg)//' q' - if (any(prm%critPlasticStrain < 0.0_pReal)) extmsg = trim(extmsg)//' gamma_crit' + if (prm%q <= 0.0_pReal) extmsg = trim(extmsg)//' q' + if (any(prm%gamma_crit < 0.0_pReal)) extmsg = trim(extmsg)//' gamma_crit' NipcMyPhase=count(material_phaseAt==p) * discretization_nIP call constitutive_allocateState(sourceState(p)%p(sourceOffset),NipcMyPhase,1,1,0) @@ -127,7 +127,7 @@ module subroutine source_damage_anisoDuctile_dotState(ipc, ip, el) associate(prm => param(source_damage_anisoDuctile_instance(phase))) sourceState(phase)%p(sourceOffset)%dotState(1,constituent) & - = sum(plasticState(phase)%slipRate(:,constituent)/(damage(homog)%p(damageOffset)**prm%n)/prm%critPlasticStrain) + = sum(plasticState(phase)%slipRate(:,constituent)/(damage(homog)%p(damageOffset)**prm%q)/prm%gamma_crit) end associate end subroutine source_damage_anisoDuctile_dotState diff --git a/src/source_damage_isoDuctile.f90 b/src/source_damage_isoDuctile.f90 index 1c1c53fd0..8f680018d 100644 --- a/src/source_damage_isoDuctile.f90 +++ b/src/source_damage_isoDuctile.f90 @@ -12,8 +12,8 @@ submodule (constitutive:constitutive_damage) source_damage_isoDuctile type:: tParameters !< container type for internal constitutive parameters real(pReal) :: & - critPlasticStrain, & !< critical plastic strain - N + gamma_crit, & !< critical plastic strain + q character(len=pStringLen), allocatable, dimension(:) :: & output end type tParameters @@ -64,8 +64,8 @@ module function source_damage_isoDuctile_init(source_length) result(mySources) associate(prm => param(source_damage_isoDuctile_instance(p))) src => sources%get(sourceOffset) - prm%N = src%get_asFloat('q') - prm%critPlasticStrain = src%get_asFloat('gamma_crit') + prm%q = src%get_asFloat('q') + prm%gamma_crit = src%get_asFloat('gamma_crit') #if defined (__GFORTRAN__) prm%output = output_asStrings(src) @@ -74,8 +74,8 @@ module function source_damage_isoDuctile_init(source_length) result(mySources) #endif ! sanity checks - if (prm%N <= 0.0_pReal) extmsg = trim(extmsg)//' q' - if (prm%critPlasticStrain <= 0.0_pReal) extmsg = trim(extmsg)//' gamma_crit' + if (prm%q <= 0.0_pReal) extmsg = trim(extmsg)//' q' + if (prm%gamma_crit <= 0.0_pReal) extmsg = trim(extmsg)//' gamma_crit' NipcMyPhase=count(material_phaseAt==p) * discretization_nIP call constitutive_allocateState(sourceState(p)%p(sourceOffset),NipcMyPhase,1,1,0) @@ -120,7 +120,7 @@ module subroutine source_damage_isoDuctile_dotState(ipc, ip, el) associate(prm => param(source_damage_isoDuctile_instance(phase))) sourceState(phase)%p(sourceOffset)%dotState(1,constituent) = & - sum(plasticState(phase)%slipRate(:,constituent))/(damage(homog)%p(damageOffset)**prm%N)/prm%critPlasticStrain + sum(plasticState(phase)%slipRate(:,constituent))/(damage(homog)%p(damageOffset)**prm%q)/prm%gamma_crit end associate end subroutine source_damage_isoDuctile_dotState diff --git a/src/source_thermal_externalheat.f90 b/src/source_thermal_externalheat.f90 index e7bfea254..753494a2d 100644 --- a/src/source_thermal_externalheat.f90 +++ b/src/source_thermal_externalheat.f90 @@ -13,8 +13,8 @@ submodule(constitutive:constitutive_thermal) source_thermal_externalheat type :: tParameters !< container type for internal constitutive parameters real(pReal), dimension(:), allocatable :: & - time, & - heat_rate + t_n, & + f_T integer :: & nIntervals end type tParameters @@ -64,10 +64,10 @@ module function source_thermal_externalheat_init(source_length) result(mySources associate(prm => param(source_thermal_externalheat_instance(p))) src => sources%get(sourceOffset) - prm%time = src%get_asFloats('t_n') - prm%nIntervals = size(prm%time) - 1 + prm%t_n = src%get_asFloats('t_n') + prm%nIntervals = size(prm%t_n) - 1 - prm%heat_rate = src%get_asFloats('f_T',requiredSize = size(prm%time)) + prm%f_T = src%get_asFloats('f_T',requiredSize = size(prm%t_n)) NipcMyPhase = count(material_phaseAt==p) * discretization_nIP call constitutive_allocateState(sourceState(p)%p(sourceOffset),NipcMyPhase,1,1,0) @@ -121,13 +121,13 @@ module subroutine source_thermal_externalheat_getRateAndItsTangent(TDot, dTDot_d associate(prm => param(source_thermal_externalheat_instance(phase))) do interval = 1, prm%nIntervals ! scan through all rate segments - frac_time = (sourceState(phase)%p(sourceOffset)%state(1,of) - prm%time(interval)) & - / (prm%time(interval+1) - prm%time(interval)) ! fractional time within segment + frac_time = (sourceState(phase)%p(sourceOffset)%state(1,of) - prm%t_n(interval)) & + / (prm%t_n(interval+1) - prm%t_n(interval)) ! fractional time within segment if ( (frac_time < 0.0_pReal .and. interval == 1) & .or. (frac_time >= 1.0_pReal .and. interval == prm%nIntervals) & .or. (frac_time >= 0.0_pReal .and. frac_time < 1.0_pReal) ) & - TDot = prm%heat_rate(interval ) * (1.0_pReal - frac_time) + & - prm%heat_rate(interval+1) * frac_time ! interpolate heat rate between segment boundaries... + TDot = prm%f_T(interval ) * (1.0_pReal - frac_time) + & + prm%f_T(interval+1) * frac_time ! interpolate heat rate between segment boundaries... ! ...or extrapolate if outside of bounds enddo dTDot_dT = 0.0 From 13cbd1c42e6e6a2335a9ba1be196d97d5dea1ed9 Mon Sep 17 00:00:00 2001 From: Sharan Roongta Date: Wed, 23 Sep 2020 01:16:12 +0200 Subject: [PATCH 022/103] all kinematics modules made consistent --- src/kinematics_cleavage_opening.f90 | 34 +++++++++++------------ src/kinematics_slipplane_opening.f90 | 40 ++++++++++++++-------------- src/kinematics_thermal_expansion.f90 | 32 +++++++++++----------- 3 files changed, 53 insertions(+), 53 deletions(-) diff --git a/src/kinematics_cleavage_opening.f90 b/src/kinematics_cleavage_opening.f90 index d8f25f8b8..9bcc7fc74 100644 --- a/src/kinematics_cleavage_opening.f90 +++ b/src/kinematics_cleavage_opening.f90 @@ -12,10 +12,10 @@ submodule(constitutive:constitutive_damage) kinematics_cleavage_opening integer :: & sum_N_cl !< total number of cleavage planes real(pReal) :: & - sdot0, & !< opening rate of cleavage planes - n !< damage rate sensitivity + dot_o, & !< opening rate of cleavage planes + q !< damage rate sensitivity real(pReal), dimension(:), allocatable :: & - critLoad + g_crit real(pReal), dimension(:,:,:,:), allocatable :: & cleavage_systems end type tParameters @@ -70,21 +70,21 @@ module function kinematics_cleavage_opening_init(kinematics_length) result(myKin N_cl = kinematic_type%get_asInts('N_cl') prm%sum_N_cl = sum(abs(N_cl)) - prm%n = kinematic_type%get_asFloat('q') - prm%sdot0 = kinematic_type%get_asFloat('dot_o') + prm%q = kinematic_type%get_asFloat('q') + prm%dot_o = kinematic_type%get_asFloat('dot_o') - prm%critLoad = kinematic_type%get_asFloats('g_crit',requiredSize=size(N_cl)) + prm%g_crit = kinematic_type%get_asFloats('g_crit',requiredSize=size(N_cl)) prm%cleavage_systems = lattice_SchmidMatrix_cleavage(N_cl,phase%get_asString('lattice'),& phase%get_asFloat('c/a',defaultVal=0.0_pReal)) ! expand: family => system - prm%critLoad = math_expand(prm%critLoad,N_cl) + prm%g_crit = math_expand(prm%g_crit,N_cl) ! sanity checks - if (prm%n <= 0.0_pReal) extmsg = trim(extmsg)//' q' - if (prm%sdot0 <= 0.0_pReal) extmsg = trim(extmsg)//' dot_o' - if (any(prm%critLoad < 0.0_pReal)) extmsg = trim(extmsg)//' g_crit' + if (prm%q <= 0.0_pReal) extmsg = trim(extmsg)//' q' + if (prm%dot_o <= 0.0_pReal) extmsg = trim(extmsg)//' dot_o' + if (any(prm%g_crit < 0.0_pReal)) extmsg = trim(extmsg)//' g_crit' !-------------------------------------------------------------------------------------------------- ! exit if any parameter is out of range @@ -128,13 +128,13 @@ module subroutine kinematics_cleavage_opening_LiAndItsTangent(Ld, dLd_dTstar, S, dLd_dTstar = 0.0_pReal associate(prm => param(kinematics_cleavage_opening_instance(material_phaseAt(ipc,el)))) do i = 1,prm%sum_N_cl - traction_crit = prm%critLoad(i)* damage(homog)%p(damageOffset)**2.0_pReal + traction_crit = prm%g_crit(i)* damage(homog)%p(damageOffset)**2.0_pReal traction_d = math_tensordot(S,prm%cleavage_systems(1:3,1:3,1,i)) if (abs(traction_d) > traction_crit + tol_math_check) then - udotd = sign(1.0_pReal,traction_d)* prm%sdot0 * ((abs(traction_d) - traction_crit)/traction_crit)**prm%n + udotd = sign(1.0_pReal,traction_d)* prm%dot_o * ((abs(traction_d) - traction_crit)/traction_crit)**prm%q Ld = Ld + udotd*prm%cleavage_systems(1:3,1:3,1,i) - dudotd_dt = sign(1.0_pReal,traction_d)*udotd*prm%n / (abs(traction_d) - traction_crit) + dudotd_dt = sign(1.0_pReal,traction_d)*udotd*prm%q / (abs(traction_d) - traction_crit) forall (k=1:3,l=1:3,m=1:3,n=1:3) & dLd_dTstar(k,l,m,n) = dLd_dTstar(k,l,m,n) & + dudotd_dt*prm%cleavage_systems(k,l,1,i) * prm%cleavage_systems(m,n,1,i) @@ -142,9 +142,9 @@ module subroutine kinematics_cleavage_opening_LiAndItsTangent(Ld, dLd_dTstar, S, traction_t = math_tensordot(S,prm%cleavage_systems(1:3,1:3,2,i)) if (abs(traction_t) > traction_crit + tol_math_check) then - udott = sign(1.0_pReal,traction_t)* prm%sdot0 * ((abs(traction_t) - traction_crit)/traction_crit)**prm%n + udott = sign(1.0_pReal,traction_t)* prm%dot_o * ((abs(traction_t) - traction_crit)/traction_crit)**prm%q Ld = Ld + udott*prm%cleavage_systems(1:3,1:3,2,i) - dudott_dt = sign(1.0_pReal,traction_t)*udott*prm%n / (abs(traction_t) - traction_crit) + dudott_dt = sign(1.0_pReal,traction_t)*udott*prm%q / (abs(traction_t) - traction_crit) forall (k=1:3,l=1:3,m=1:3,n=1:3) & dLd_dTstar(k,l,m,n) = dLd_dTstar(k,l,m,n) & + dudott_dt*prm%cleavage_systems(k,l,2,i) * prm%cleavage_systems(m,n,2,i) @@ -152,9 +152,9 @@ module subroutine kinematics_cleavage_opening_LiAndItsTangent(Ld, dLd_dTstar, S, traction_n = math_tensordot(S,prm%cleavage_systems(1:3,1:3,3,i)) if (abs(traction_n) > traction_crit + tol_math_check) then - udotn = sign(1.0_pReal,traction_n)* prm%sdot0 * ((abs(traction_n) - traction_crit)/traction_crit)**prm%n + udotn = sign(1.0_pReal,traction_n)* prm%dot_o * ((abs(traction_n) - traction_crit)/traction_crit)**prm%q Ld = Ld + udotn*prm%cleavage_systems(1:3,1:3,3,i) - dudotn_dt = sign(1.0_pReal,traction_n)*udotn*prm%n / (abs(traction_n) - traction_crit) + dudotn_dt = sign(1.0_pReal,traction_n)*udotn*prm%q / (abs(traction_n) - traction_crit) forall (k=1:3,l=1:3,m=1:3,n=1:3) & dLd_dTstar(k,l,m,n) = dLd_dTstar(k,l,m,n) & + dudotn_dt*prm%cleavage_systems(k,l,3,i) * prm%cleavage_systems(m,n,3,i) diff --git a/src/kinematics_slipplane_opening.f90 b/src/kinematics_slipplane_opening.f90 index 3b04e37c1..5b20a0486 100644 --- a/src/kinematics_slipplane_opening.f90 +++ b/src/kinematics_slipplane_opening.f90 @@ -12,10 +12,10 @@ submodule(constitutive:constitutive_damage) kinematics_slipplane_opening integer :: & sum_N_sl !< total number of cleavage planes real(pReal) :: & - sdot0, & !< opening rate of cleavage planes - n !< damage rate sensitivity + dot_o, & !< opening rate of cleavage planes + q !< damage rate sensitivity real(pReal), dimension(:), allocatable :: & - critLoad + g_crit real(pReal), dimension(:,:,:), allocatable :: & P_d, & P_t, & @@ -70,8 +70,8 @@ module function kinematics_slipplane_opening_init(kinematics_length) result(myKi associate(prm => param(kinematics_slipplane_opening_instance(p))) kinematic_type => kinematics%get(k) - prm%sdot0 = kinematic_type%get_asFloat('dot_o') - prm%n = kinematic_type%get_asFloat('q') + prm%dot_o = kinematic_type%get_asFloat('dot_o') + prm%q = kinematic_type%get_asFloat('q') N_sl = pl%get_asInts('N_sl') prm%sum_N_sl = sum(abs(N_sl)) @@ -89,15 +89,15 @@ module function kinematics_slipplane_opening_init(kinematics_length) result(myKi prm%P_n(1:3,1:3,i) = math_outer(n(1:3,i), n(1:3,i)) enddo - prm%critLoad = kinematic_type%get_asFloats('g_crit',requiredSize=size(N_sl)) + prm%g_crit = kinematic_type%get_asFloats('g_crit',requiredSize=size(N_sl)) ! expand: family => system - prm%critLoad = math_expand(prm%critLoad,N_sl) + prm%g_crit = math_expand(prm%g_crit,N_sl) ! sanity checks - if (prm%n <= 0.0_pReal) extmsg = trim(extmsg)//' anisoDuctile_n' - if (prm%sdot0 <= 0.0_pReal) extmsg = trim(extmsg)//' anisoDuctile_sdot0' - if (any(prm%critLoad < 0.0_pReal)) extmsg = trim(extmsg)//' anisoDuctile_critLoad' + if (prm%q <= 0.0_pReal) extmsg = trim(extmsg)//' anisoDuctile_n' + if (prm%dot_o <= 0.0_pReal) extmsg = trim(extmsg)//' anisoDuctile_sdot0' + if (any(prm%g_crit < 0.0_pReal)) extmsg = trim(extmsg)//' anisoDuctile_critLoad' !-------------------------------------------------------------------------------------------------- ! exit if any parameter is out of range @@ -150,27 +150,27 @@ module subroutine kinematics_slipplane_opening_LiAndItsTangent(Ld, dLd_dTstar, S traction_t = math_tensordot(S,prm%P_t(1:3,1:3,i)) traction_n = math_tensordot(S,prm%P_n(1:3,1:3,i)) - traction_crit = prm%critLoad(i)* damage(homog)%p(damageOffset) ! degrading critical load carrying capacity by damage + traction_crit = prm%g_crit(i)* damage(homog)%p(damageOffset) ! degrading critical load carrying capacity by damage - udotd = sign(1.0_pReal,traction_d)* prm%sdot0* ( abs(traction_d)/traction_crit & - - abs(traction_d)/prm%critLoad(i))**prm%n - udott = sign(1.0_pReal,traction_t)* prm%sdot0* ( abs(traction_t)/traction_crit & - - abs(traction_t)/prm%critLoad(i))**prm%n - udotn = prm%sdot0* ( max(0.0_pReal,traction_n)/traction_crit & - - max(0.0_pReal,traction_n)/prm%critLoad(i))**prm%n + udotd = sign(1.0_pReal,traction_d)* prm%dot_o* ( abs(traction_d)/traction_crit & + - abs(traction_d)/prm%g_crit(i))**prm%q + udott = sign(1.0_pReal,traction_t)* prm%dot_o* ( abs(traction_t)/traction_crit & + - abs(traction_t)/prm%g_crit(i))**prm%q + udotn = prm%dot_o* ( max(0.0_pReal,traction_n)/traction_crit & + - max(0.0_pReal,traction_n)/prm%g_crit(i))**prm%q if (dNeq0(traction_d)) then - dudotd_dt = udotd*prm%n/traction_d + dudotd_dt = udotd*prm%q/traction_d else dudotd_dt = 0.0_pReal endif if (dNeq0(traction_t)) then - dudott_dt = udott*prm%n/traction_t + dudott_dt = udott*prm%q/traction_t else dudott_dt = 0.0_pReal endif if (dNeq0(traction_n)) then - dudotn_dt = udotn*prm%n/traction_n + dudotn_dt = udotn*prm%q/traction_n else dudotn_dt = 0.0_pReal endif diff --git a/src/kinematics_thermal_expansion.f90 b/src/kinematics_thermal_expansion.f90 index 652713aa4..826064682 100644 --- a/src/kinematics_thermal_expansion.f90 +++ b/src/kinematics_thermal_expansion.f90 @@ -11,7 +11,7 @@ submodule(constitutive:constitutive_thermal) kinematics_thermal_expansion real(pReal) :: & T_ref real(pReal), dimension(3,3,3) :: & - expansion = 0.0_pReal + A = 0.0_pReal end type tParameters type(tParameters), dimension(:), allocatable :: param @@ -64,13 +64,13 @@ module function kinematics_thermal_expansion_init(kinematics_length) result(myKi ! read up to three parameters (constant, linear, quadratic with T) temp = kinematic_type%get_asFloats('A_11') - prm%expansion(1,1,1:size(temp)) = temp + prm%A(1,1,1:size(temp)) = temp temp = kinematic_type%get_asFloats('A_22',defaultVal=[(0.0_pReal, i=1,size(temp))],requiredSize=size(temp)) - prm%expansion(2,2,1:size(temp)) = temp + prm%A(2,2,1:size(temp)) = temp temp = kinematic_type%get_asFloats('A_33',defaultVal=[(0.0_pReal, i=1,size(temp))],requiredSize=size(temp)) - prm%expansion(3,3,1:size(temp)) = temp - do i=1, size(prm%expansion,3) - prm%expansion(1:3,1:3,i) = lattice_applyLatticeSymmetry33(prm%expansion(1:3,1:3,i),& + prm%A(3,3,1:size(temp)) = temp + do i=1, size(prm%A,3) + prm%A(1:3,1:3,i) = lattice_applyLatticeSymmetry33(prm%A(1:3,1:3,i),& phase%get_asString('lattice')) enddo @@ -94,13 +94,13 @@ pure module function kinematics_thermal_expansion_initialStrain(homog,phase,offs offset real(pReal), dimension(3,3) :: & - initialStrain !< initial thermal strain (should be small strain, though) + initialStrain !< initial thermal strain (should be small strain, though) associate(prm => param(kinematics_thermal_expansion_instance(phase))) initialStrain = & - (temperature(homog)%p(offset) - prm%T_ref)**1 / 1. * prm%expansion(1:3,1:3,1) + & ! constant coefficient - (temperature(homog)%p(offset) - prm%T_ref)**2 / 2. * prm%expansion(1:3,1:3,2) + & ! linear coefficient - (temperature(homog)%p(offset) - prm%T_ref)**3 / 3. * prm%expansion(1:3,1:3,3) ! quadratic coefficient + (temperature(homog)%p(offset) - prm%T_ref)**1 / 1. * prm%A(1:3,1:3,1) + & ! constant coefficient + (temperature(homog)%p(offset) - prm%T_ref)**2 / 2. * prm%A(1:3,1:3,2) + & ! linear coefficient + (temperature(homog)%p(offset) - prm%T_ref)**3 / 3. * prm%A(1:3,1:3,3) ! quadratic coefficient end associate end function kinematics_thermal_expansion_initialStrain @@ -133,14 +133,14 @@ module subroutine kinematics_thermal_expansion_LiAndItsTangent(Li, dLi_dTstar, i associate(prm => param(kinematics_thermal_expansion_instance(phase))) Li = TDot * ( & - prm%expansion(1:3,1:3,1)*(T - prm%T_ref)**0 & ! constant coefficient - + prm%expansion(1:3,1:3,2)*(T - prm%T_ref)**1 & ! linear coefficient - + prm%expansion(1:3,1:3,3)*(T - prm%T_ref)**2 & ! quadratic coefficient + prm%A(1:3,1:3,1)*(T - prm%T_ref)**0 & ! constant coefficient + + prm%A(1:3,1:3,2)*(T - prm%T_ref)**1 & ! linear coefficient + + prm%A(1:3,1:3,3)*(T - prm%T_ref)**2 & ! quadratic coefficient ) / & (1.0_pReal & - + prm%expansion(1:3,1:3,1)*(T - prm%T_ref)**1 / 1. & - + prm%expansion(1:3,1:3,2)*(T - prm%T_ref)**2 / 2. & - + prm%expansion(1:3,1:3,3)*(T - prm%T_ref)**3 / 3. & + + prm%A(1:3,1:3,1)*(T - prm%T_ref)**1 / 1. & + + prm%A(1:3,1:3,2)*(T - prm%T_ref)**2 / 2. & + + prm%A(1:3,1:3,3)*(T - prm%T_ref)**3 / 3. & ) end associate dLi_dTstar = 0.0_pReal From fb908a5f568f3cfc7123360a57659041b437b611 Mon Sep 17 00:00:00 2001 From: Sharan Roongta Date: Wed, 23 Sep 2020 01:33:19 +0200 Subject: [PATCH 023/103] homogenization modules made consistent --- src/homogenization_mech_RGC.f90 | 88 +++++++++++++-------------- src/homogenization_mech_isostrain.f90 | 8 +-- 2 files changed, 48 insertions(+), 48 deletions(-) diff --git a/src/homogenization_mech_RGC.f90 b/src/homogenization_mech_RGC.f90 index cdd7c05dd..349700879 100644 --- a/src/homogenization_mech_RGC.f90 +++ b/src/homogenization_mech_RGC.f90 @@ -4,20 +4,20 @@ !> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH !> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH !> @brief Relaxed grain cluster (RGC) homogenization scheme -!> Nconstituents is defined as p x q x r (cluster) +!> N_constituents is defined as p x q x r (cluster) !-------------------------------------------------------------------------------------------------- submodule(homogenization) homogenization_mech_RGC use rotations type :: tParameters integer, dimension(:), allocatable :: & - Nconstituents + N_constituents real(pReal) :: & - xiAlpha, & - ciAlpha + xi_alpha, & + c_Alpha real(pReal), dimension(:), allocatable :: & - dAlpha, & - angles + D_alpha, & + a_g integer :: & of_debug = 0 character(len=pStringLen), allocatable, dimension(:) :: & @@ -163,20 +163,20 @@ module subroutine mech_RGC_init(num_homogMech) prm%output = homogMech%get_asStrings('output',defaultVal=emptyStringArray) #endif - prm%Nconstituents = homogMech%get_asInts('cluster_size',requiredSize=3) - if (homogenization_Ngrains(h) /= product(prm%Nconstituents)) & + prm%N_constituents = homogMech%get_asInts('cluster_size',requiredSize=3) + if (homogenization_Ngrains(h) /= product(prm%N_constituents)) & call IO_error(211,ext_msg='clustersize (mech_rgc)') - prm%xiAlpha = homogMech%get_asFloat('xi_alpha') - prm%ciAlpha = homogMech%get_asFloat('c_alpha') + prm%xi_alpha = homogMech%get_asFloat('xi_alpha') + prm%c_alpha = homogMech%get_asFloat('c_alpha') - prm%dAlpha = homogMech%get_asFloats('D_alpha', requiredSize=3) - prm%angles = homogMech%get_asFloats('a_g', requiredSize=3) + prm%D_alpha = homogMech%get_asFloats('D_alpha', requiredSize=3) + prm%a_g = homogMech%get_asFloats('a_g', requiredSize=3) NofMyHomog = count(material_homogenizationAt == h) - nIntFaceTot = 3*( (prm%Nconstituents(1)-1)*prm%Nconstituents(2)*prm%Nconstituents(3) & - + prm%Nconstituents(1)*(prm%Nconstituents(2)-1)*prm%Nconstituents(3) & - + prm%Nconstituents(1)*prm%Nconstituents(2)*(prm%Nconstituents(3)-1)) + nIntFaceTot = 3*( (prm%N_constituents(1)-1)*prm%N_constituents(2)*prm%N_constituents(3) & + + prm%N_constituents(1)*(prm%N_constituents(2)-1)*prm%N_constituents(3) & + + prm%N_constituents(1)*prm%N_constituents(2)*(prm%N_constituents(3)-1)) sizeState = nIntFaceTot & + size(['avg constitutive work ','average penalty energy']) @@ -197,8 +197,8 @@ module subroutine mech_RGC_init(num_homogMech) !-------------------------------------------------------------------------------------------------- ! assigning cluster orientations - dependentState(homogenization_typeInstance(h))%orientation = spread(eu2om(prm%angles*inRad),3,NofMyHomog) - !dst%orientation = spread(eu2om(prm%angles*inRad),3,NofMyHomog) ifort version 18.0.1 crashes (for whatever reason) + dependentState(homogenization_typeInstance(h))%orientation = spread(eu2om(prm%a_g*inRad),3,NofMyHomog) + !dst%orientation = spread(eu2om(prm%a_g*inRad),3,NofMyHomog) ifort version 18.0.1 crashes (for whatever reason) end associate @@ -229,8 +229,8 @@ module subroutine mech_RGC_partitionDeformation(F,avgF,instance,of) !-------------------------------------------------------------------------------------------------- ! compute the deformation gradient of individual grains due to relaxations F = 0.0_pReal - do iGrain = 1,product(prm%Nconstituents) - iGrain3 = grain1to3(iGrain,prm%Nconstituents) + do iGrain = 1,product(prm%N_constituents) + iGrain3 = grain1to3(iGrain,prm%N_constituents) do iFace = 1,6 intFace = getInterface(iFace,iGrain3) ! identifying 6 interfaces of each grain aVect = relaxationVector(intFace,instance,of) ! get the relaxation vectors for each interface from global relaxation vector array @@ -290,7 +290,7 @@ module procedure mech_RGC_updateState !-------------------------------------------------------------------------------------------------- ! get the dimension of the cluster (grains and interfaces) - nGDim = prm%Nconstituents + nGDim = prm%N_constituents nGrain = product(nGDim) nIntFaceTot = (nGDim(1)-1)*nGDim(2)*nGDim(3) & + nGDim(1)*(nGDim(2)-1)*nGDim(3) & @@ -324,12 +324,12 @@ module procedure mech_RGC_updateState !------------------------------------------------------------------------------------------------ ! computing the residual stress from the balance of traction at all (interior) interfaces do iNum = 1,nIntFaceTot - faceID = interface1to4(iNum,param(instance)%Nconstituents) ! identifying the interface ID in local coordinate system (4-dimensional index) + faceID = interface1to4(iNum,param(instance)%N_constituents) ! identifying the interface ID in local coordinate system (4-dimensional index) !-------------------------------------------------------------------------------------------------- ! identify the left/bottom/back grain (-|N) iGr3N = faceID(2:4) ! identifying the grain ID in local coordinate system (3-dimensional index) - iGrN = grain3to1(iGr3N,param(instance)%Nconstituents) ! translate the local grain ID into global coordinate system (1-dimensional index) + iGrN = grain3to1(iGr3N,param(instance)%N_constituents) ! translate the local grain ID into global coordinate system (1-dimensional index) intFaceN = getInterface(2*faceID(1),iGr3N) normN = interfaceNormal(intFaceN,instance,of) @@ -337,7 +337,7 @@ module procedure mech_RGC_updateState ! identify the right/up/front grain (+|P) iGr3P = iGr3N iGr3P(faceID(1)) = iGr3N(faceID(1))+1 ! identifying the grain ID in local coordinate system (3-dimensional index) - iGrP = grain3to1(iGr3P,param(instance)%Nconstituents) ! translate the local grain ID into global coordinate system (1-dimensional index) + iGrP = grain3to1(iGr3P,param(instance)%N_constituents) ! translate the local grain ID into global coordinate system (1-dimensional index) intFaceP = getInterface(2*faceID(1)-1,iGr3P) normP = interfaceNormal(intFaceP,instance,of) @@ -393,7 +393,7 @@ module procedure mech_RGC_updateState !-------------------------------------------------------------------------------------------------- ! compute/update the state for postResult, i.e., all energy densities computed by time-integration - do iGrain = 1,product(prm%Nconstituents) + do iGrain = 1,product(prm%N_constituents) do i = 1,3;do j = 1,3 stt%work(of) = stt%work(of) & + P(i,j,iGrain)*(F(i,j,iGrain) - F0(i,j,iGrain))/real(nGrain,pReal) @@ -450,18 +450,18 @@ module procedure mech_RGC_updateState ! ... of the constitutive stress tangent, assembled from dPdF or material constitutive model "smatrix" allocate(smatrix(3*nIntFaceTot,3*nIntFaceTot), source=0.0_pReal) do iNum = 1,nIntFaceTot - faceID = interface1to4(iNum,param(instance)%Nconstituents) ! assembling of local dPdF into global Jacobian matrix + faceID = interface1to4(iNum,param(instance)%N_constituents) ! assembling of local dPdF into global Jacobian matrix !-------------------------------------------------------------------------------------------------- ! identify the left/bottom/back grain (-|N) iGr3N = faceID(2:4) ! identifying the grain ID in local coordinate sytem - iGrN = grain3to1(iGr3N,param(instance)%Nconstituents) ! translate into global grain ID + iGrN = grain3to1(iGr3N,param(instance)%N_constituents) ! translate into global grain ID intFaceN = getInterface(2*faceID(1),iGr3N) ! identifying the connecting interface in local coordinate system normN = interfaceNormal(intFaceN,instance,of) do iFace = 1,6 intFaceN = getInterface(iFace,iGr3N) ! identifying all interfaces that influence relaxation of the above interface mornN = interfaceNormal(intFaceN,instance,of) - iMun = interface4to1(intFaceN,param(instance)%Nconstituents) ! translate the interfaces ID into local 4-dimensional index + iMun = interface4to1(intFaceN,param(instance)%N_constituents) ! translate the interfaces ID into local 4-dimensional index if (iMun > 0) then ! get the corresponding tangent do i=1,3; do j=1,3; do k=1,3; do l=1,3 smatrix(3*(iNum-1)+i,3*(iMun-1)+j) = smatrix(3*(iNum-1)+i,3*(iMun-1)+j) & @@ -476,13 +476,13 @@ module procedure mech_RGC_updateState ! identify the right/up/front grain (+|P) iGr3P = iGr3N iGr3P(faceID(1)) = iGr3N(faceID(1))+1 ! identifying the grain ID in local coordinate sytem - iGrP = grain3to1(iGr3P,param(instance)%Nconstituents) ! translate into global grain ID + iGrP = grain3to1(iGr3P,param(instance)%N_constituents) ! translate into global grain ID intFaceP = getInterface(2*faceID(1)-1,iGr3P) ! identifying the connecting interface in local coordinate system normP = interfaceNormal(intFaceP,instance,of) do iFace = 1,6 intFaceP = getInterface(iFace,iGr3P) ! identifying all interfaces that influence relaxation of the above interface mornP = interfaceNormal(intFaceP,instance,of) - iMun = interface4to1(intFaceP,param(instance)%Nconstituents) ! translate the interfaces ID into local 4-dimensional index + iMun = interface4to1(intFaceP,param(instance)%N_constituents) ! translate the interfaces ID into local 4-dimensional index if (iMun > 0) then ! get the corresponding tangent do i=1,3; do j=1,3; do k=1,3; do l=1,3 smatrix(3*(iNum-1)+i,3*(iMun-1)+j) = smatrix(3*(iNum-1)+i,3*(iMun-1)+j) & @@ -522,12 +522,12 @@ module procedure mech_RGC_updateState ! computing the global stress residual array from the perturbed state p_resid = 0.0_pReal do iNum = 1,nIntFaceTot - faceID = interface1to4(iNum,param(instance)%Nconstituents) ! identifying the interface ID in local coordinate system (4-dimensional index) + faceID = interface1to4(iNum,param(instance)%N_constituents) ! identifying the interface ID in local coordinate system (4-dimensional index) !-------------------------------------------------------------------------------------------------- ! identify the left/bottom/back grain (-|N) iGr3N = faceID(2:4) ! identify the grain ID in local coordinate system (3-dimensional index) - iGrN = grain3to1(iGr3N,param(instance)%Nconstituents) ! translate the local grain ID into global coordinate system (1-dimensional index) + iGrN = grain3to1(iGr3N,param(instance)%N_constituents) ! translate the local grain ID into global coordinate system (1-dimensional index) intFaceN = getInterface(2*faceID(1),iGr3N) ! identify the interface ID of the grain normN = interfaceNormal(intFaceN,instance,of) @@ -535,7 +535,7 @@ module procedure mech_RGC_updateState ! identify the right/up/front grain (+|P) iGr3P = iGr3N iGr3P(faceID(1)) = iGr3N(faceID(1))+1 ! identify the grain ID in local coordinate system (3-dimensional index) - iGrP = grain3to1(iGr3P,param(instance)%Nconstituents) ! translate the local grain ID into global coordinate system (1-dimensional index) + iGrP = grain3to1(iGr3P,param(instance)%N_constituents) ! translate the local grain ID into global coordinate system (1-dimensional index) intFaceP = getInterface(2*faceID(1)-1,iGr3P) ! identify the interface ID of the grain normP = interfaceNormal(intFaceP,instance,of) @@ -664,7 +664,7 @@ module procedure mech_RGC_updateState real(pReal) :: muGrain,muGNghb,nDefNorm,bgGrain,bgGNghb real(pReal), parameter :: nDefToler = 1.0e-10_pReal - nGDim = param(instance)%Nconstituents + nGDim = param(instance)%N_constituents rPen = 0.0_pReal nMis = 0.0_pReal @@ -685,11 +685,11 @@ module procedure mech_RGC_updateState !----------------------------------------------------------------------------------------------- ! computing the mismatch and penalty stress tensor of all grains - grainLoop: do iGrain = 1,product(prm%Nconstituents) + grainLoop: do iGrain = 1,product(prm%N_constituents) Gmoduli = equivalentModuli(iGrain,ip,el) muGrain = Gmoduli(1) ! collecting the equivalent shear modulus of grain bgGrain = Gmoduli(2) ! and the lengthh of Burgers vector - iGrain3 = grain1to3(iGrain,prm%Nconstituents) ! get the grain ID in local 3-dimensional index (x,y,z)-position + iGrain3 = grain1to3(iGrain,prm%N_constituents) ! get the grain ID in local 3-dimensional index (x,y,z)-position interfaceLoop: do iFace = 1,6 intFace = getInterface(iFace,iGrain3) ! get the 4-dimensional index of the interface in local numbering system of the grain @@ -699,7 +699,7 @@ module procedure mech_RGC_updateState + int(real(intFace(1),pReal)/real(abs(intFace(1)),pReal)) where(iGNghb3 < 1) iGNghb3 = nGDim where(iGNghb3 >nGDim) iGNghb3 = 1 - iGNghb = grain3to1(iGNghb3,prm%Nconstituents) ! get the ID of the neighboring grain + iGNghb = grain3to1(iGNghb3,prm%N_constituents) ! get the ID of the neighboring grain Gmoduli = equivalentModuli(iGNghb,ip,el) ! collect the shear modulus and Burgers vector of the neighbor muGNghb = Gmoduli(1) bgGNghb = Gmoduli(2) @@ -728,9 +728,9 @@ module procedure mech_RGC_updateState !------------------------------------------------------------------------------------------- ! compute the stress penalty of all interfaces do i = 1,3; do j = 1,3; do k = 1,3; do l = 1,3 - rPen(i,j,iGrain) = rPen(i,j,iGrain) + 0.5_pReal*(muGrain*bgGrain + muGNghb*bgGNghb)*prm%xiAlpha & - *surfCorr(abs(intFace(1)))/prm%dAlpha(abs(intFace(1))) & - *cosh(prm%ciAlpha*nDefNorm) & + rPen(i,j,iGrain) = rPen(i,j,iGrain) + 0.5_pReal*(muGrain*bgGrain + muGNghb*bgGNghb)*prm%xi_alpha & + *surfCorr(abs(intFace(1)))/prm%D_alpha(abs(intFace(1))) & + *cosh(prm%c_alpha*nDefNorm) & *0.5_pReal*nVect(l)*nDef(i,k)/nDefNorm*math_LeviCivita(k,l,j) & *tanh(nDefNorm/num%xSmoo) enddo; enddo;enddo; enddo @@ -885,8 +885,8 @@ module procedure mech_RGC_updateState associate(prm => param(instance)) F = 0.0_pReal - do iGrain = 1,product(prm%Nconstituents) - iGrain3 = grain1to3(iGrain,prm%Nconstituents) + do iGrain = 1,product(prm%N_constituents) + iGrain3 = grain1to3(iGrain,prm%N_constituents) do iFace = 1,6 intFace = getInterface(iFace,iGrain3) aVect = relaxationVector(intFace,instance,of) @@ -916,8 +916,8 @@ module subroutine mech_RGC_averageStressAndItsTangent(avgP,dAvgPdAvgF,P,dPdF,ins real(pReal), dimension (:,:,:,:,:), intent(in) :: dPdF !< partitioned stiffnesses integer, intent(in) :: instance - avgP = sum(P,3) /real(product(param(instance)%Nconstituents),pReal) - dAvgPdAvgF = sum(dPdF,5)/real(product(param(instance)%Nconstituents),pReal) + avgP = sum(P,3) /real(product(param(instance)%N_constituents),pReal) + dAvgPdAvgF = sum(dPdF,5)/real(product(param(instance)%N_constituents),pReal) end subroutine mech_RGC_averageStressAndItsTangent @@ -975,7 +975,7 @@ pure function relaxationVector(intFace,instance,of) !-------------------------------------------------------------------------------------------------- ! collect the interface relaxation vector from the global state array - iNum = interface4to1(intFace,param(instance)%Nconstituents) ! identify the position of the interface in global state array + iNum = interface4to1(intFace,param(instance)%N_constituents) ! identify the position of the interface in global state array if (iNum > 0) then relaxationVector = state(instance)%relaxationVector((3*iNum-2):(3*iNum),of) else diff --git a/src/homogenization_mech_isostrain.f90 b/src/homogenization_mech_isostrain.f90 index 6c5f50b99..bfcf3590b 100644 --- a/src/homogenization_mech_isostrain.f90 +++ b/src/homogenization_mech_isostrain.f90 @@ -13,7 +13,7 @@ submodule(homogenization) homogenization_mech_isostrain type :: tParameters !< container type for internal constitutive parameters integer :: & - Nconstituents + N_constituents integer(kind(average_ID)) :: & mapping end type @@ -51,7 +51,7 @@ module subroutine mech_isostrain_init homogMech => homog%get('mech') associate(prm => param(homogenization_typeInstance(h))) - prm%Nconstituents = homogMech%get_asInt('N_constituents') + prm%N_constituents = homogMech%get_asInt('N_constituents') select case(homogMech%get_asString('mapping',defaultVal = 'sum')) case ('sum') prm%mapping = parallel_ID @@ -107,8 +107,8 @@ module subroutine mech_isostrain_averageStressAndItsTangent(avgP,dAvgPdAvgF,P,dP avgP = sum(P,3) dAvgPdAvgF = sum(dPdF,5) case (average_ID) - avgP = sum(P,3) /real(prm%Nconstituents,pReal) - dAvgPdAvgF = sum(dPdF,5)/real(prm%Nconstituents,pReal) + avgP = sum(P,3) /real(prm%N_constituents,pReal) + dAvgPdAvgF = sum(dPdF,5)/real(prm%N_constituents,pReal) end select end associate From c72240323e740c5e4b9669c907189cbf4f08aea9 Mon Sep 17 00:00:00 2001 From: Sharan Roongta Date: Wed, 23 Sep 2020 01:50:13 +0200 Subject: [PATCH 024/103] applied to lattice variables --- src/damage_nonlocal.f90 | 4 ++-- src/lattice.f90 | 44 +++++++++++++++++++------------------- src/thermal_adiabatic.f90 | 4 ++-- src/thermal_conduction.f90 | 6 +++--- 4 files changed, 29 insertions(+), 29 deletions(-) diff --git a/src/damage_nonlocal.f90 b/src/damage_nonlocal.f90 index a4ea54493..f31b10242 100644 --- a/src/damage_nonlocal.f90 +++ b/src/damage_nonlocal.f90 @@ -134,7 +134,7 @@ function damage_nonlocal_getDiffusion(ip,el) damage_nonlocal_getDiffusion = 0.0_pReal do grain = 1, homogenization_Ngrains(homog) damage_nonlocal_getDiffusion = damage_nonlocal_getDiffusion + & - crystallite_push33ToRef(grain,ip,el,lattice_DamageDiffusion(1:3,1:3,material_phaseAt(grain,el))) + crystallite_push33ToRef(grain,ip,el,lattice_D(1:3,1:3,material_phaseAt(grain,el))) enddo damage_nonlocal_getDiffusion = & @@ -157,7 +157,7 @@ real(pReal) function damage_nonlocal_getMobility(ip,el) damage_nonlocal_getMobility = 0.0_pReal do ipc = 1, homogenization_Ngrains(material_homogenizationAt(el)) - damage_nonlocal_getMobility = damage_nonlocal_getMobility + lattice_DamageMobility(material_phaseAt(ipc,el)) + damage_nonlocal_getMobility = damage_nonlocal_getMobility + lattice_M(material_phaseAt(ipc,el)) enddo damage_nonlocal_getMobility = damage_nonlocal_getMobility/& diff --git a/src/lattice.f90 b/src/lattice.f90 index d0ac07ed6..d3e800aa1 100644 --- a/src/lattice.f90 +++ b/src/lattice.f90 @@ -394,13 +394,13 @@ module lattice ! SHOULD NOT BE PART OF LATTICE BEGIN real(pReal), dimension(:), allocatable, public, protected :: & lattice_mu, lattice_nu, & - lattice_damageMobility, & - lattice_massDensity, & - lattice_specificHeat + lattice_M, & + lattice_rho, & + lattice_c_p real(pReal), dimension(:,:,:), allocatable, public, protected :: & lattice_C66, & - lattice_thermalConductivity, & - lattice_damageDiffusion + lattice_K, & + lattice_D integer(kind(lattice_UNDEFINED_ID)), dimension(:), allocatable, public, protected :: & lattice_structure ! SHOULD NOT BE PART OF LATTICE END @@ -465,11 +465,11 @@ subroutine lattice_init allocate(lattice_structure(Nphases),source = lattice_UNDEFINED_ID) allocate(lattice_C66(6,6,Nphases), source=0.0_pReal) - allocate(lattice_thermalConductivity (3,3,Nphases), source=0.0_pReal) - allocate(lattice_damageDiffusion (3,3,Nphases), source=0.0_pReal) + allocate(lattice_K (3,3,Nphases), source=0.0_pReal) + allocate(lattice_D (3,3,Nphases), source=0.0_pReal) - allocate(lattice_damageMobility,& - lattice_massDensity,lattice_specificHeat, & + allocate(lattice_M,& + lattice_rho,lattice_c_p, & lattice_mu, lattice_nu,& source=[(0.0_pReal,i=1,Nphases)]) @@ -517,22 +517,22 @@ subroutine lattice_init ! SHOULD NOT BE PART OF LATTICE BEGIN - lattice_thermalConductivity(1,1,p) = phase%get_asFloat('K_11',defaultVal=0.0_pReal) - lattice_thermalConductivity(2,2,p) = phase%get_asFloat('K_22',defaultVal=0.0_pReal) - lattice_thermalConductivity(3,3,p) = phase%get_asFloat('K_33',defaultVal=0.0_pReal) - lattice_thermalConductivity(1:3,1:3,p) = lattice_applyLatticeSymmetry33(lattice_thermalConductivity(1:3,1:3,p), & - phase%get_asString('lattice')) + lattice_K(1,1,p) = phase%get_asFloat('K_11',defaultVal=0.0_pReal) + lattice_K(2,2,p) = phase%get_asFloat('K_22',defaultVal=0.0_pReal) + lattice_K(3,3,p) = phase%get_asFloat('K_33',defaultVal=0.0_pReal) + lattice_K(1:3,1:3,p) = lattice_applyLatticeSymmetry33(lattice_K(1:3,1:3,p), & + phase%get_asString('lattice')) - lattice_specificHeat(p) = phase%get_asFloat('c_p',defaultVal=0.0_pReal) - lattice_massDensity(p) = phase%get_asFloat('rho', defaultVal=0.0_pReal) + lattice_c_p(p) = phase%get_asFloat('c_p', defaultVal=0.0_pReal) + lattice_rho(p) = phase%get_asFloat('rho', defaultVal=0.0_pReal) - lattice_DamageDiffusion(1,1,p) = phase%get_asFloat('D_11',defaultVal=0.0_pReal) - lattice_DamageDiffusion(2,2,p) = phase%get_asFloat('D_22',defaultVal=0.0_pReal) - lattice_DamageDiffusion(3,3,p) = phase%get_asFloat('D_33',defaultVal=0.0_pReal) - lattice_DamageDiffusion(1:3,1:3,p) = lattice_applyLatticeSymmetry33(lattice_DamageDiffusion(1:3,1:3,p), & - phase%get_asString('lattice')) + lattice_D(1,1,p) = phase%get_asFloat('D_11',defaultVal=0.0_pReal) + lattice_D(2,2,p) = phase%get_asFloat('D_22',defaultVal=0.0_pReal) + lattice_D(3,3,p) = phase%get_asFloat('D_33',defaultVal=0.0_pReal) + lattice_D(1:3,1:3,p) = lattice_applyLatticeSymmetry33(lattice_D(1:3,1:3,p), & + phase%get_asString('lattice')) - lattice_DamageMobility(p) = phase%get_asFloat('M',defaultVal=0.0_pReal) + lattice_M(p) = phase%get_asFloat('M',defaultVal=0.0_pReal) ! SHOULD NOT BE PART OF LATTICE END call selfTest diff --git a/src/thermal_adiabatic.f90 b/src/thermal_adiabatic.f90 index 1601a9b4f..63deb3cd5 100644 --- a/src/thermal_adiabatic.f90 +++ b/src/thermal_adiabatic.f90 @@ -169,7 +169,7 @@ function thermal_adiabatic_getSpecificHeat(ip,el) do grain = 1, homogenization_Ngrains(material_homogenizationAt(el)) thermal_adiabatic_getSpecificHeat = thermal_adiabatic_getSpecificHeat & - + lattice_specificHeat(material_phaseAt(grain,el)) + + lattice_c_p(material_phaseAt(grain,el)) enddo thermal_adiabatic_getSpecificHeat = thermal_adiabatic_getSpecificHeat & @@ -195,7 +195,7 @@ function thermal_adiabatic_getMassDensity(ip,el) do grain = 1, homogenization_Ngrains(material_homogenizationAt(el)) thermal_adiabatic_getMassDensity = thermal_adiabatic_getMassDensity & - + lattice_massDensity(material_phaseAt(grain,el)) + + lattice_rho(material_phaseAt(grain,el)) enddo thermal_adiabatic_getMassDensity = thermal_adiabatic_getMassDensity & diff --git a/src/thermal_conduction.f90 b/src/thermal_conduction.f90 index 5556a54e1..69ce8025e 100644 --- a/src/thermal_conduction.f90 +++ b/src/thermal_conduction.f90 @@ -127,7 +127,7 @@ function thermal_conduction_getConductivity(ip,el) thermal_conduction_getConductivity = 0.0_pReal do grain = 1, homogenization_Ngrains(material_homogenizationAt(el)) thermal_conduction_getConductivity = thermal_conduction_getConductivity + & - crystallite_push33ToRef(grain,ip,el,lattice_thermalConductivity(:,:,material_phaseAt(grain,el))) + crystallite_push33ToRef(grain,ip,el,lattice_K(:,:,material_phaseAt(grain,el))) enddo thermal_conduction_getConductivity = thermal_conduction_getConductivity & @@ -153,7 +153,7 @@ function thermal_conduction_getSpecificHeat(ip,el) do grain = 1, homogenization_Ngrains(material_homogenizationAt(el)) thermal_conduction_getSpecificHeat = thermal_conduction_getSpecificHeat & - + lattice_specificHeat(material_phaseAt(grain,el)) + + lattice_c_p(material_phaseAt(grain,el)) enddo thermal_conduction_getSpecificHeat = thermal_conduction_getSpecificHeat & @@ -180,7 +180,7 @@ function thermal_conduction_getMassDensity(ip,el) do grain = 1, homogenization_Ngrains(material_homogenizationAt(el)) thermal_conduction_getMassDensity = thermal_conduction_getMassDensity & - + lattice_massDensity(material_phaseAt(grain,el)) + + lattice_rho(material_phaseAt(grain,el)) enddo thermal_conduction_getMassDensity = thermal_conduction_getMassDensity & From cc019f9af44cde1ba4f19e68c44efc1c5f9e5867 Mon Sep 17 00:00:00 2001 From: Sharan Roongta Date: Wed, 23 Sep 2020 02:06:03 +0200 Subject: [PATCH 025/103] [skip ci] burgers ---> Burgers --- src/constitutive_plastic_disloTungsten.f90 | 2 +- src/constitutive_plastic_dislotwin.f90 | 16 ++++++++-------- src/constitutive_plastic_nonlocal.f90 | 4 ++-- 3 files changed, 11 insertions(+), 11 deletions(-) diff --git a/src/constitutive_plastic_disloTungsten.f90 b/src/constitutive_plastic_disloTungsten.f90 index c5459c3af..b698f4193 100644 --- a/src/constitutive_plastic_disloTungsten.f90 +++ b/src/constitutive_plastic_disloTungsten.f90 @@ -17,7 +17,7 @@ submodule(constitutive:constitutive_plastic) plastic_disloTungsten D_0 = 1.0_pReal, & !< prefactor for self-diffusion coefficient Q_cl = 1.0_pReal !< activation energy for dislocation climb real(pReal), allocatable, dimension(:) :: & - b_sl, & !< magnitude of burgers vector [m] + b_sl, & !< magnitude of Burgers vector [m] D_a, & i_sl, & !< Adj. parameter for distance between 2 forest dislocations f_at, & !< factor to calculate atomic volume diff --git a/src/constitutive_plastic_dislotwin.f90 b/src/constitutive_plastic_dislotwin.f90 index 0a14c64e1..6331c1a8a 100644 --- a/src/constitutive_plastic_dislotwin.f90 +++ b/src/constitutive_plastic_dislotwin.f90 @@ -39,9 +39,9 @@ submodule(constitutive:constitutive_plastic) plastic_dislotwin i_tr = 1.0_pReal, & !< adjustment parameter to calculate MFP for transformation h = 1.0_pReal !< Stack height of hex nucleus real(pReal), allocatable, dimension(:) :: & - b_sl, & !< absolute length of burgers vector [m] for each slip system - b_tw, & !< absolute length of burgers vector [m] for each twin system - b_tr, & !< absolute length of burgers vector [m] for each transformation system + b_sl, & !< absolute length of Burgers vector [m] for each slip system + b_tw, & !< absolute length of Burgers vector [m] for each twin system + b_tr, & !< absolute length of Burgers vector [m] for each transformation system Q_s,& !< activation energy for glide [J] for each slip system v_0, & !< dislocation velocity prefactor [m/s] for each slip system dot_N_0_tw, & !< twin nucleation rate [1/m³s] for each twin system @@ -654,7 +654,7 @@ module subroutine plastic_dislotwin_dotState(Mp,T,instance,of) Gamma, & !< stacking fault energy tau, & sigma_cl, & !< climb stress - b_d !< ratio of burgers vector to stacking fault width + b_d !< ratio of Burgers vector to stacking fault width real(pReal), dimension(param(instance)%sum_N_sl) :: & dot_rho_dip_formation, & dot_rho_dip_climb, & @@ -805,20 +805,20 @@ module subroutine plastic_dislotwin_dependentState(T,instance,of) !* threshold stress for growing twin/martensite if(prm%sum_N_tw == prm%sum_N_sl) & dst%tau_hat_tw(:,of) = Gamma/(3.0_pReal*prm%b_tw) & - + 3.0_pReal*prm%b_tw*prm%mu/(prm%L_tw*prm%b_sl) ! slip burgers here correct? + + 3.0_pReal*prm%b_tw*prm%mu/(prm%L_tw*prm%b_sl) ! slip Burgers here correct? if(prm%sum_N_tr == prm%sum_N_sl) & dst%tau_hat_tr(:,of) = Gamma/(3.0_pReal*prm%b_tr) & - + 3.0_pReal*prm%b_tr*prm%mu/(prm%L_tr*prm%b_sl) & ! slip burgers here correct? + + 3.0_pReal*prm%b_tr*prm%mu/(prm%L_tr*prm%b_sl) & ! slip Burgers here correct? + prm%h*prm%delta_G/ (3.0_pReal*prm%b_tr) dst%V_tw(:,of) = (PI/4.0_pReal)*prm%t_tw*dst%Lambda_tw(:,of)**2.0_pReal dst%V_tr(:,of) = (PI/4.0_pReal)*prm%t_tr*dst%Lambda_tr(:,of)**2.0_pReal - x0 = prm%mu*prm%b_tw**2.0_pReal/(Gamma*8.0_pReal*PI)*(2.0_pReal+prm%nu)/(1.0_pReal-prm%nu) ! ToDo: In the paper, this is the burgers vector for slip and is the same for twin and trans + x0 = prm%mu*prm%b_tw**2.0_pReal/(Gamma*8.0_pReal*PI)*(2.0_pReal+prm%nu)/(1.0_pReal-prm%nu) ! ToDo: In the paper, this is the Burgers vector for slip and is the same for twin and trans dst%tau_r_tw(:,of) = prm%mu*prm%b_tw/(2.0_pReal*PI)*(1.0_pReal/(x0+prm%x_c_tw)+cos(pi/3.0_pReal)/x0) - x0 = prm%mu*prm%b_tr**2.0_pReal/(Gamma*8.0_pReal*PI)*(2.0_pReal+prm%nu)/(1.0_pReal-prm%nu) ! ToDo: In the paper, this is the burgers vector for slip + x0 = prm%mu*prm%b_tr**2.0_pReal/(Gamma*8.0_pReal*PI)*(2.0_pReal+prm%nu)/(1.0_pReal-prm%nu) ! ToDo: In the paper, this is the Burgers vector for slip dst%tau_r_tr(:,of) = prm%mu*prm%b_tr/(2.0_pReal*PI)*(1.0_pReal/(x0+prm%x_c_tr)+cos(pi/3.0_pReal)/x0) end associate diff --git a/src/constitutive_plastic_nonlocal.f90 b/src/constitutive_plastic_nonlocal.f90 index c289e2d82..2c56bedbd 100644 --- a/src/constitutive_plastic_nonlocal.f90 +++ b/src/constitutive_plastic_nonlocal.f90 @@ -70,7 +70,7 @@ submodule(constitutive:constitutive_plastic) plastic_nonlocal rho_min, & !< number of dislocations considered significant w, & !< width of a doubkle kink in multiples of the Burgers vector length b Q_sol, & !< activation energy for solid solution in J - f_sol, & !< solid solution obstacle size in multiples of the burgers vector length + f_sol, & !< solid solution obstacle size in multiples of the Burgers vector length c_sol, & !< concentration of solid solution in atomic parts p, & !< parameter for kinetic law (Kocks,Argon,Ashby) q, & !< parameter for kinetic law (Kocks,Argon,Ashby) @@ -90,7 +90,7 @@ submodule(constitutive:constitutive_plastic) plastic_nonlocal tau_Peierls_ed, & tau_Peierls_sc, & i_sl, & !< mean free path prefactor for each - b_sl !< absolute length of burgers vector [m] + b_sl !< absolute length of Burgers vector [m] real(pReal), dimension(:,:), allocatable :: & slip_normal, & slip_direction, & From 997f7dfa0565b43be41ce148d8dfd10ee86d760b Mon Sep 17 00:00:00 2001 From: Philip Eisenlohr Date: Tue, 22 Sep 2020 20:03:41 -0400 Subject: [PATCH 026/103] removed Geom.homogenization from shell scripts --- PRIVATE | 2 +- processing/pre/geom_fromDREAM3D.py | 8 +-- processing/pre/geom_fromMinimalSurface.py | 6 -- processing/pre/geom_fromOsteonGeometry.py | 8 +-- processing/pre/geom_fromTable.py | 9 +-- .../pre/geom_fromVoronoiTessellation.py | 7 +- processing/pre/geom_grainGrowth.py | 66 ++++++++++--------- processing/pre/seeds_fromDistribution.py | 46 ++++++------- processing/pre/seeds_fromGeom.py | 2 +- processing/pre/seeds_fromPokes.py | 8 +-- 10 files changed, 69 insertions(+), 93 deletions(-) diff --git a/PRIVATE b/PRIVATE index fa2885da8..86f77da4a 160000 --- a/PRIVATE +++ b/PRIVATE @@ -1 +1 @@ -Subproject commit fa2885da8604c3ac46f64670393f04678dd1f45b +Subproject commit 86f77da4aec6cb52bbcc2724f00a6cf6a7dc6e91 diff --git a/processing/pre/geom_fromDREAM3D.py b/processing/pre/geom_fromDREAM3D.py index 3faa07a17..daf7d2ab9 100755 --- a/processing/pre/geom_fromDREAM3D.py +++ b/processing/pre/geom_fromDREAM3D.py @@ -52,16 +52,11 @@ parser.add_option('-q', '--quaternion', type = 'string', metavar='string', help = 'name of the dataset containing pointwise/average orientation as quaternion [%default]') -parser.add_option('--homogenization', - dest = 'homogenization', - type = 'int', metavar = 'int', - help = 'homogenization index to be used [%default]') parser.set_defaults(pointwise = 'CellData', quaternion = 'Quats', phase = 'Phases', microstructure = 'FeatureIds', - homogenization = 1, ) (options, filenames) = parser.parse_args() @@ -150,8 +145,7 @@ for name in filenames: header = [scriptID + ' ' + ' '.join(sys.argv[1:])]\ + config_header - geom = damask.Geom(microstructure,size,origin, - homogenization=options.homogenization,comments=header) + geom = damask.Geom(microstructure,size,origin,comments=header) damask.util.croak(geom) geom.save_ASCII(os.path.splitext(name)[0]+'.geom',compress=False) diff --git a/processing/pre/geom_fromMinimalSurface.py b/processing/pre/geom_fromMinimalSurface.py index b52003d79..83d1a3684 100755 --- a/processing/pre/geom_fromMinimalSurface.py +++ b/processing/pre/geom_fromMinimalSurface.py @@ -52,10 +52,6 @@ parser.add_option('-p', '--periods', dest = 'periods', type = 'int', metavar = 'int', help = 'number of repetitions of unit cell [%default]') -parser.add_option('--homogenization', - dest = 'homogenization', - type = 'int', metavar = 'int', - help = 'homogenization index to be used [%default]') parser.add_option('--m', dest = 'microstructure', type = 'int', nargs = 2, metavar = 'int int', @@ -66,7 +62,6 @@ parser.set_defaults(type = minimal_surfaces[0], periods = 1, grid = (16,16,16), size = (1.0,1.0,1.0), - homogenization = 1, microstructure = (1,2), ) @@ -85,7 +80,6 @@ microstructure = np.where(options.threshold < surface[options.type](x,y,z), options.microstructure[1],options.microstructure[0]) geom=damask.Geom(microstructure,options.size, - homogenization=options.homogenization, comments=[scriptID + ' ' + ' '.join(sys.argv[1:])]) damask.util.croak(geom) diff --git a/processing/pre/geom_fromOsteonGeometry.py b/processing/pre/geom_fromOsteonGeometry.py index 0b1440d63..2f9de712d 100755 --- a/processing/pre/geom_fromOsteonGeometry.py +++ b/processing/pre/geom_fromOsteonGeometry.py @@ -57,10 +57,6 @@ parser.add_option('-w', '--omega', dest='omega', type='float', metavar = 'float', help='rotation angle around normal of osteon [%default]') -parser.add_option( '--homogenization', - dest='homogenization', - type='int', metavar = 'int', - help='homogenization index to be used [%default]') parser.set_defaults(canal = 25e-6, osteon = 100e-6, @@ -70,7 +66,7 @@ parser.set_defaults(canal = 25e-6, amplitude = 60, size = (300e-6,300e-6), grid = (512,512), - homogenization = 1) + ) (options,filename) = parser.parse_args() @@ -139,7 +135,7 @@ header = [scriptID + ' ' + ' '.join(sys.argv[1:])]\ + config_header geom = damask.Geom(microstructure.reshape(grid), size,-size/2, - homogenization=options.homogenization,comments=header) + comments=header) damask.util.croak(geom) geom.save_ASCII(sys.stdout if name is None else name,compress=False) diff --git a/processing/pre/geom_fromTable.py b/processing/pre/geom_fromTable.py index 6f2cb5b4d..a0de6a4c5 100755 --- a/processing/pre/geom_fromTable.py +++ b/processing/pre/geom_fromTable.py @@ -44,14 +44,9 @@ parser.add_option('--axes', dest = 'axes', type = 'string', nargs = 3, metavar = ' '.join(['string']*3), help = 'orientation coordinate frame in terms of position coordinate frame [+x +y +z]') -parser.add_option('--homogenization', - dest = 'homogenization', - type = 'int', metavar = 'int', - help = 'homogenization index to be used [%default]') -parser.set_defaults(homogenization = 1, - pos = 'pos', +parser.set_defaults(pos = 'pos', ) (options,filenames) = parser.parse_args() @@ -102,7 +97,7 @@ for name in filenames: header = [scriptID + ' ' + ' '.join(sys.argv[1:])]\ + config_header geom = damask.Geom(microstructure,size,origin, - homogenization=options.homogenization,comments=header) + comments=header) damask.util.croak(geom) geom.save_ASCII(sys.stdout if name is None else os.path.splitext(name)[0]+'.geom',compress=False) diff --git a/processing/pre/geom_fromVoronoiTessellation.py b/processing/pre/geom_fromVoronoiTessellation.py index 5586d3bc8..aee79cc05 100755 --- a/processing/pre/geom_fromVoronoiTessellation.py +++ b/processing/pre/geom_fromVoronoiTessellation.py @@ -142,10 +142,6 @@ group.add_option('--without-config', dest = 'config', action = 'store_false', help = 'omit material configuration header') -group.add_option('--homogenization', - dest = 'homogenization', - type = 'int', metavar = 'int', - help = 'homogenization index to be used [%default]') group.add_option('--phase', dest = 'phase', type = 'int', metavar = 'int', @@ -157,7 +153,6 @@ parser.set_defaults(pos = 'pos', weight = 'weight', microstructure = 'microstructure', eulers = 'euler', - homogenization = 1, phase = 1, cpus = 2, laguerre = False, @@ -225,7 +220,7 @@ for name in filenames: header = [scriptID + ' ' + ' '.join(sys.argv[1:])]\ + config_header geom = damask.Geom(indices.reshape(grid),size,origin, - homogenization=options.homogenization,comments=header) + comments=header) damask.util.croak(geom) geom.save_ASCII(sys.stdout if name is None else os.path.splitext(name)[0]+'.geom',compress=False) diff --git a/processing/pre/geom_grainGrowth.py b/processing/pre/geom_grainGrowth.py index 88e75a841..a573a9fed 100755 --- a/processing/pre/geom_grainGrowth.py +++ b/processing/pre/geom_grainGrowth.py @@ -41,7 +41,7 @@ parser.add_option('-N', '--iterations', help = 'curvature flow iterations [%default]') parser.add_option('-i', '--immutable', action = 'extend', dest = 'immutable', metavar = '', - help = 'list of immutable microstructure indices') + help = 'list of immutable material indices') parser.add_option('--ndimage', dest = 'ndimage', action='store_true', help = 'use ndimage.gaussian_filter in lieu of explicit FFT') @@ -66,13 +66,13 @@ for name in filenames: grid_original = geom.grid damask.util.croak(geom) - microstructure = np.tile(geom.microstructure,np.where(grid_original == 1, 2,1)) # make one copy along dimensions with grid == 1 - grid = np.array(microstructure.shape) + materials = np.tile(geom.materials,np.where(grid_original == 1, 2,1)) # make one copy along dimensions with grid == 1 + grid = np.array(materials.shape) # --- initialize support data --------------------------------------------------------------------- -# store a copy the initial microstructure to find locations of immutable indices - microstructure_original = np.copy(microstructure) +# store a copy of the initial material indices to find locations of immutable indices + materials_original = np.copy(materials) if not options.ndimage: X,Y,Z = np.mgrid[0:grid[0],0:grid[1],0:grid[2]] @@ -88,14 +88,14 @@ for name in filenames: for smoothIter in range(options.N): - interfaceEnergy = np.zeros(microstructure.shape,dtype=np.float32) + interfaceEnergy = np.zeros(materials.shape,dtype=np.float32) for i in (-1,0,1): for j in (-1,0,1): for k in (-1,0,1): # assign interfacial energy to all voxels that have a differing neighbor (in Moore neighborhood) interfaceEnergy = np.maximum(interfaceEnergy, - getInterfaceEnergy(microstructure,np.roll(np.roll(np.roll( - microstructure,i,axis=0), j,axis=1), k,axis=2))) + getInterfaceEnergy(materials,np.roll(np.roll(np.roll( + materials,i,axis=0), j,axis=1), k,axis=2))) # periodically extend interfacial energy array by half a grid size in positive and negative directions periodic_interfaceEnergy = np.tile(interfaceEnergy,(3,3,3))[grid[0]//2:-grid[0]//2, @@ -129,13 +129,13 @@ for name in filenames: iterations = int(round(options.d*2.))-1),# fat boundary periodic_bulkEnergy[grid[0]//2:-grid[0]//2, # retain filled energy on fat boundary... grid[1]//2:-grid[1]//2, - grid[2]//2:-grid[2]//2], # ...and zero everywhere else + grid[2]//2:-grid[2]//2], # ...and zero everywhere else 0.)).astype(np.complex64) * gauss).astype(np.float32) periodic_diffusedEnergy = np.tile(diffusedEnergy,(3,3,3))[grid[0]//2:-grid[0]//2, grid[1]//2:-grid[1]//2, - grid[2]//2:-grid[2]//2] # periodically extend the smoothed bulk energy + grid[2]//2:-grid[2]//2] # periodically extend the smoothed bulk energy # transform voxels close to interface region @@ -143,33 +143,35 @@ for name in filenames: return_distances = False, return_indices = True) # want index of closest bulk grain - periodic_microstructure = np.tile(microstructure,(3,3,3))[grid[0]//2:-grid[0]//2, - grid[1]//2:-grid[1]//2, - grid[2]//2:-grid[2]//2] # periodically extend the microstructure + periodic_materials = np.tile(materials,(3,3,3))[grid[0]//2:-grid[0]//2, + grid[1]//2:-grid[1]//2, + grid[2]//2:-grid[2]//2] # periodically extend the geometry - microstructure = periodic_microstructure[index[0], - index[1], - index[2]].reshape(2*grid)[grid[0]//2:-grid[0]//2, - grid[1]//2:-grid[1]//2, - grid[2]//2:-grid[2]//2] # extent grains into interface region + materials = periodic_materials[index[0], + index[1], + index[2]].reshape(2*grid)[grid[0]//2:-grid[0]//2, + grid[1]//2:-grid[1]//2, + grid[2]//2:-grid[2]//2] # extent grains into interface region - # replace immutable microstructures with closest mutable ones - index = ndimage.morphology.distance_transform_edt(np.in1d(microstructure,options.immutable).reshape(grid), + # replace immutable materials with closest mutable ones + index = ndimage.morphology.distance_transform_edt(np.in1d(materials,options.immutable).reshape(grid), return_distances = False, return_indices = True) - microstructure = microstructure[index[0], - index[1], - index[2]] + materials = materials[index[0], + index[1], + index[2]] - immutable = np.zeros(microstructure.shape, dtype=np.bool) - # find locations where immutable microstructures have been in original structure + immutable = np.zeros(materials.shape, dtype=np.bool) + # find locations where immutable materials have been in original structure for micro in options.immutable: - immutable += microstructure_original == micro + immutable += materials_original == micro - # undo any changes involving immutable microstructures - microstructure = np.where(immutable, microstructure_original,microstructure) + # undo any changes involving immutable materials + materials = np.where(immutable, materials_original,materials) - geom = geom.duplicate(microstructure[0:grid_original[0],0:grid_original[1],0:grid_original[2]]) - geom.add_comments(scriptID + ' ' + ' '.join(sys.argv[1:])) - - geom.save_ASCII(sys.stdout if name is None else name,compress=False) + damask.Geom(materials = materials[0:grid_original[0],0:grid_original[1],0:grid_original[2]], + size = geom.size, + origin = geom.origin, + comments = geom.comments + [scriptID + ' ' + ' '.join(sys.argv[1:])], + )\ + .save_ASCII(sys.stdout if name is None else name,compress=False) diff --git a/processing/pre/seeds_fromDistribution.py b/processing/pre/seeds_fromDistribution.py index e1e4726c2..030f3d6fa 100755 --- a/processing/pre/seeds_fromDistribution.py +++ b/processing/pre/seeds_fromDistribution.py @@ -30,7 +30,7 @@ class myThread (threading.Thread): def run(self): global bestSeedsUpdate global bestSeedsVFile - global nMicrostructures + global nMaterials global delta global points global target @@ -70,7 +70,7 @@ class myThread (threading.Thread): selectedMs = [] direction = [] for i in range(NmoveGrains): - selectedMs.append(random.randrange(1,nMicrostructures)) + selectedMs.append(random.randrange(1,nMaterials)) direction.append((np.random.random()-0.5)*delta) @@ -101,11 +101,11 @@ class myThread (threading.Thread): #--- evaluate current seeds file ------------------------------------------------------------------ perturbedGeom = damask.Geom.load_ASCII(perturbedGeomVFile) - myNmicrostructures = len(np.unique(perturbedGeom.microstructure)) - currentData=np.bincount(perturbedGeom.microstructure.ravel())[1:]/points + myNmaterials = len(np.unique(perturbedGeom.materials)) + currentData=np.bincount(perturbedGeom.materials.ravel())[1:]/points currentError=[] currentHist=[] - for i in range(nMicrostructures): # calculate the deviation in all bins per histogram + for i in range(nMaterials): # calculate the deviation in all bins per histogram currentHist.append(np.histogram(currentData,bins=target[i]['bins'])[0]) currentError.append(np.sqrt(np.square(np.array(target[i]['histogram']-currentHist[i])).sum())) @@ -117,12 +117,12 @@ class myThread (threading.Thread): bestMatch = match #--- count bin classes with no mismatch ---------------------------------------------------------------------- myMatch=0 - for i in range(nMicrostructures): + for i in range(nMaterials): if currentError[i] > 0.0: break myMatch = i+1 - if myNmicrostructures == nMicrostructures: - for i in range(min(nMicrostructures,myMatch+options.bins)): + if myNmaterials == nMaterials: + for i in range(min(nMaterials,myMatch+options.bins)): if currentError[i] > target[i]['error']: # worse fitting, next try randReset = True break @@ -141,25 +141,25 @@ class myThread (threading.Thread): for line in perturbedSeedsVFile: currentSeedsFile.write(line) bestSeedsVFile.write(line) - for j in range(nMicrostructures): # save new errors for all bins + for j in range(nMaterials): # save new errors for all bins target[j]['error'] = currentError[j] if myMatch > match: # one or more new bins have no deviation damask.util.croak( 'Stage {:d} cleared'.format(myMatch)) match=myMatch sys.stdout.flush() break - if i == min(nMicrostructures,myMatch+options.bins)-1: # same quality as before: take it to keep on moving + if i == min(nMaterials,myMatch+options.bins)-1: # same quality as before: take it to keep on moving bestSeedsUpdate = time.time() perturbedSeedsVFile.seek(0) bestSeedsVFile.close() bestSeedsVFile = StringIO() bestSeedsVFile.writelines(perturbedSeedsVFile.readlines()) - for j in range(nMicrostructures): + for j in range(nMaterials): target[j]['error'] = currentError[j] randReset = True else: #--- not all grains are tessellated - damask.util.croak('Thread {:d}: Microstructure mismatch ({:d} microstructures mapped)'\ - .format(self.threadID,myNmicrostructures)) + damask.util.croak('Thread {:d}: Material mismatch ({:d} material indices mapped)'\ + .format(self.threadID,myNmaterials)) randReset = True @@ -217,10 +217,10 @@ points = np.array(options.grid).prod().astype('float') # ----------- calculate target distribution and bin edges targetGeom = damask.Geom.load_ASCII(os.path.splitext(os.path.basename(options.target))[0]+'.geom') -nMicrostructures = len(np.unique(targetGeom.microstructure)) -targetVolFrac = np.bincount(targetGeom.microstructure.flatten())/targetGeom.grid.prod().astype(np.float) +nMaterials = len(np.unique(targetGeom.materials)) +targetVolFrac = np.bincount(targetGeom.materials.flatten())/targetGeom.grid.prod().astype(np.float) target = [] -for i in range(1,nMicrostructures+1): +for i in range(1,nMaterials+1): targetHist,targetBins = np.histogram(targetVolFrac,bins=i) #bin boundaries target.append({'histogram':targetHist,'bins':targetBins}) @@ -233,7 +233,7 @@ else: bestSeedsVFile.write(damask.util.execute('seeds_fromRandom'+\ ' -g '+' '.join(list(map(str, options.grid)))+\ ' -r {:d}'.format(options.randomSeed)+\ - ' -N '+str(nMicrostructures))[0]) + ' -N '+str(nMaterials))[0]) bestSeedsUpdate = time.time() # ----------- tessellate initial seed file to get and evaluate geom file @@ -244,11 +244,11 @@ initialGeomVFile.write(damask.util.execute('geom_fromVoronoiTessellation '+ initialGeomVFile.seek(0) initialGeom = damask.Geom.load_ASCII(initialGeomVFile) -if len(np.unique(targetGeom.microstructure)) != nMicrostructures: - damask.util.croak('error. Microstructure count mismatch') +if len(np.unique(targetGeom.materials)) != nMaterials: + damask.util.croak('error. Material count mismatch') -initialData = np.bincount(initialGeom.microstructure.flatten())/points -for i in range(nMicrostructures): +initialData = np.bincount(initialGeom.materials.flatten())/points +for i in range(nMaterials): initialHist = np.histogram(initialData,bins=target[i]['bins'])[0] target[i]['error']=np.sqrt(np.square(np.array(target[i]['histogram']-initialHist)).sum()) @@ -257,13 +257,13 @@ if target[0]['error'] > 0.0: target[0]['error'] *=((target[0]['bins'][0]-np.min(initialData))**2.0+ (target[0]['bins'][1]-np.max(initialData))**2.0)**0.5 match=0 -for i in range(nMicrostructures): +for i in range(nMaterials): if target[i]['error'] > 0.0: break match = i+1 if options.maxseeds < 1: - maxSeeds = len(np.unique(initialGeom.microstructure)) + maxSeeds = len(np.unique(initialGeom.materials)) else: maxSeeds = options.maxseeds diff --git a/processing/pre/seeds_fromGeom.py b/processing/pre/seeds_fromGeom.py index 99e7c0ca9..de95b439d 100755 --- a/processing/pre/seeds_fromGeom.py +++ b/processing/pre/seeds_fromGeom.py @@ -61,7 +61,7 @@ for name in filenames: 'grid\ta {}\tb {}\tc {}'.format(*geom.grid), 'size\tx {}\ty {}\tz {}'.format(*geom.size), 'origin\tx {}\ty {}\tz {}'.format(*geom.origin), - 'homogenization\t{}'.format(geom.homogenization)] + ] damask.Table(seeds[mask],{'pos':(3,)},comments)\ .add('material',materials[mask].astype(int))\ diff --git a/processing/pre/seeds_fromPokes.py b/processing/pre/seeds_fromPokes.py index c804cd285..ff9d250fc 100755 --- a/processing/pre/seeds_fromPokes.py +++ b/processing/pre/seeds_fromPokes.py @@ -76,7 +76,7 @@ for name in filenames: g[2] = k + offset[2] g %= geom.grid seeds[n,0:3] = (g+0.5)/geom.grid # normalize coordinates to box - seeds[n, 3] = geom.microstructure[g[0],g[1],g[2]] + seeds[n, 3] = geom.materials[g[0],g[1],g[2]] if options.x: g[0] += 1 if options.y: g[1] += 1 n += 1 @@ -88,9 +88,9 @@ for name in filenames: 'grid\ta {}\tb {}\tc {}'.format(*geom.grid), 'size\tx {}\ty {}\tz {}'.format(*geom.size), 'origin\tx {}\ty {}\tz {}'.format(*geom.origin), - 'homogenization\t{}'.format(geom.homogenization)] + ] - table = damask.Table(seeds,{'pos':(3,),'microstructure':(1,)},comments) - table.set('microstructure',table.get('microstructure').astype(np.int))\ + table = damask.Table(seeds,{'pos':(3,),'material':(1,)},comments) + table.set('material',table.get('material').astype(np.int))\ .save(sys.stdout if name is None else \ os.path.splitext(name)[0]+f'_poked_{options.N}.seeds',legacy=True) From ae579d8baa654623674fc6bef72061b41a20421f Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Wed, 23 Sep 2020 09:23:30 +0200 Subject: [PATCH 027/103] allow to specify seed IDs explicitly --- python/damask/_geom.py | 34 +++++++++++++++++++++++++--------- python/tests/test_Geom.py | 10 +++++----- 2 files changed, 30 insertions(+), 14 deletions(-) diff --git a/python/damask/_geom.py b/python/damask/_geom.py index 86d11b9be..a89439028 100644 --- a/python/damask/_geom.py +++ b/python/damask/_geom.py @@ -210,7 +210,7 @@ class Geom: return np.argmin(np.sum((np.broadcast_to(point,(len(seeds),3))-seeds)**2,axis=1) - weights) @staticmethod - def from_Laguerre_tessellation(grid,size,seeds,weights,periodic=True): + def from_Laguerre_tessellation(grid,size,seeds,weights,materials=None,periodic=True): """ Generate geometry from Laguerre tessellation. @@ -224,6 +224,9 @@ class Geom: Position of the seed points in meter. All points need to lay within the box. weights : numpy.ndarray of shape (seeds.shape[0]) Weights of the seeds. Setting all weights to 1.0 gives a standard Voronoi tessellation. + materials : numpy.ndarray of shape (seeds.shape[0]), optional + Material ID of the seeds. Defaults to None, in which case materials are + consecutively numbered. periodic : Boolean, optional Perform a periodic tessellation. Defaults to True. @@ -243,22 +246,27 @@ class Geom: result = pool.map_async(partial(Geom._find_closest_seed,seeds_p,weights_p), [coord for coord in coords]) pool.close() pool.join() - materials = np.array(result.get()) + materials_ = np.array(result.get()) if periodic: - materials = materials.reshape(grid*3) - materials = materials[grid[0]:grid[0]*2,grid[1]:grid[1]*2,grid[2]:grid[2]*2]%seeds.shape[0] + materials_ = materials_.reshape(grid*3) + materials_ = materials_[grid[0]:grid[0]*2,grid[1]:grid[1]*2,grid[2]:grid[2]*2]%seeds.shape[0] else: - materials = materials.reshape(grid) + materials_ = materials_.reshape(grid) - return Geom(materials = materials+1, + geom = Geom(materials = materials_+1, size = size, comments = util.execution_stamp('Geom','from_Laguerre_tessellation'), ) + if materials is not None: + geom = geom.substitute(np.arange(seeds.shape[0])+1,materials) + geom.comments = geom.comments[:-1] + + return geom @staticmethod - def from_Voronoi_tessellation(grid,size,seeds,periodic=True): + def from_Voronoi_tessellation(grid,size,seeds,materials=None,periodic=True): """ Generate geometry from Voronoi tessellation. @@ -270,18 +278,26 @@ class Geom: Physical size of the geometry in meter. seeds : numpy.ndarray of shape (:,3) Position of the seed points in meter. All points need to lay within the box. + materials : numpy.ndarray of shape (seeds.shape[0]), optional + Material ID of the seeds. Defaults to None, in which case materials are + consecutively numbered. periodic : Boolean, optional Perform a periodic tessellation. Defaults to True. """ coords = grid_filters.cell_coord0(grid,size).reshape(-1,3) KDTree = spatial.cKDTree(seeds,boxsize=size) if periodic else spatial.cKDTree(seeds) - devNull,materials = KDTree.query(coords) + devNull,materials_ = KDTree.query(coords) - return Geom(materials = materials.reshape(grid)+1, + geom = Geom(materials = materials_.reshape(grid)+1, size = size, comments = util.execution_stamp('Geom','from_Voronoi_tessellation'), ) + if materials is not None: + geom = geom.substitute(np.arange(seeds.shape[0])+1,materials) + geom.comments = geom.comments[:-1] + + return geom def save_ASCII(self,fname,compress=None): diff --git a/python/tests/test_Geom.py b/python/tests/test_Geom.py index 961d28713..957bc69e6 100644 --- a/python/tests/test_Geom.py +++ b/python/tests/test_Geom.py @@ -324,8 +324,8 @@ class TestGeom: size = np.random.random(3) + 1.0 N_seeds= np.random.randint(10,30) seeds = np.random.rand(N_seeds,3) * np.broadcast_to(size,(N_seeds,3)) - Voronoi = Geom.from_Voronoi_tessellation( grid,size,seeds, periodic) - Laguerre = Geom.from_Laguerre_tessellation(grid,size,seeds,np.ones(N_seeds),periodic) + Voronoi = Geom.from_Voronoi_tessellation( grid,size,seeds, periodic=periodic) + Laguerre = Geom.from_Laguerre_tessellation(grid,size,seeds,np.ones(N_seeds),periodic=periodic) assert geom_equal(Laguerre,Voronoi) @@ -337,7 +337,7 @@ class TestGeom: weights= np.full((N_seeds),-np.inf) ms = np.random.randint(1, N_seeds+1) weights[ms-1] = np.random.random() - Laguerre = Geom.from_Laguerre_tessellation(grid,size,seeds,weights,np.random.random()>0.5) + Laguerre = Geom.from_Laguerre_tessellation(grid,size,seeds,weights,periodic=np.random.random()>0.5) assert np.all(Laguerre.materials == ms) @@ -349,7 +349,7 @@ class TestGeom: materials = np.ones(grid) materials[:,grid[1]//2:,:] = 2 if approach == 'Laguerre': - geom = Geom.from_Laguerre_tessellation(grid,size,seeds,np.ones(2),np.random.random()>0.5) + geom = Geom.from_Laguerre_tessellation(grid,size,seeds,np.ones(2),periodic=np.random.random()>0.5) elif approach == 'Voronoi': - geom = Geom.from_Voronoi_tessellation(grid,size,seeds, np.random.random()>0.5) + geom = Geom.from_Voronoi_tessellation(grid,size,seeds, periodic=np.random.random()>0.5) assert np.all(geom.materials == materials) From c85d27baeced2c597d510fb4a4ad60132c367c72 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Wed, 23 Sep 2020 09:45:36 +0200 Subject: [PATCH 028/103] functionality for seed creation --- python/damask/__init__.py | 6 +++ python/damask/seeds.py | 90 +++++++++++++++++++++++++++++++++++++++ 2 files changed, 96 insertions(+) create mode 100644 python/damask/seeds.py diff --git a/python/damask/__init__.py b/python/damask/__init__.py index 3f2ff6813..e21ebd03d 100644 --- a/python/damask/__init__.py +++ b/python/damask/__init__.py @@ -20,6 +20,12 @@ from ._result import Result # noqa from ._geom import Geom # noqa from ._material import Material # noqa from . import solver # noqa +from . import util # noqa +from . import seeds # noqa +from . import grid_filters # noqa +from . import mechanics # noqa + + # deprecated Environment = _ diff --git a/python/damask/seeds.py b/python/damask/seeds.py new file mode 100644 index 000000000..e2cb5fc75 --- /dev/null +++ b/python/damask/seeds.py @@ -0,0 +1,90 @@ +from scipy import spatial as _spatial +import numpy as _np + +from . import util +from . import grid_filters + + +def from_random(size,N_seeds,grid=None,seed=None): + """ + Random seeding in space. + + Parameters + ---------- + size : numpy.ndarray of shape (3) + Physical size of the periodic field. + N_seeds : int + Number of seeds. + grid : numpy.ndarray of shape (3), optional. + If given, ensures that all seeds initiate one grain if using a + standard Voronoi tessellation. + seed : {None, int, array_like[ints], SeedSequence, BitGenerator, Generator}, optional + A seed to initialize the BitGenerator. Defaults to None. + If None, then fresh, unpredictable entropy will be pulled from the OS. + + """ + rng = _np.random.default_rng(seed) + if grid is None: + coords = rng.random((N_seeds,3)) * size + else: + grid_coords = grid_filters.cell_coord0(grid,size).reshape(-1,3,order='F') + coords = grid_coords[rng.choice(_np.prod(grid),N_seeds, replace=False)] \ + + _np.broadcast_to(size/grid,(N_seeds,3))*(rng.random((N_seeds,3))*.5-.25) # wobble without leaving grid + + return (coords,_np.arange(N_seeds,dtype='i')) + + +def from_poisson_disc(size,N_seeds,N_candidates,distance,seed=None): + """ + Seeding in space according to a Poisson disc distribution. + + Parameters + ---------- + size : numpy.ndarray of shape (3) + Physical size of the periodic field. + N_seeds : int + Number of seeds. + N_candidates : int + Number of candidates to consider for finding best candidate. + distance : float + Minimum acceptable distance to other seeds. + seed : {None, int, array_like[ints], SeedSequence, BitGenerator, Generator}, optional + A seed to initialize the BitGenerator. Defaults to None. + If None, then fresh, unpredictable entropy will be pulled from the OS. + + """ + rng = _np.random.default_rng(seed) + coords = _np.empty((N_seeds,3)) + coords[0] = rng.random(3) * size + + i = 1 + progress = util._ProgressBar(N_seeds+1,'',50) + while i < N_seeds: + candidates = rng.random((N_candidates,3))*_np.broadcast_to(size,(N_candidates,3)) + tree = _spatial.cKDTree(coords[:i]) + distances, dev_null = tree.query(candidates) + best = distances.argmax() + if distances[best] > distance: # require minimum separation + coords[i] = candidates[best] # maximum separation to existing point cloud + i += 1 + progress.update(i) + + return (coords,_np.arange(N_seeds,dtype='i')) + + +def from_geom(geom,selection=None,invert=False): + """ + Create seed from existing geometry description. + + Parameters + ---------- + geom : damask.Geom + ... + + """ + materials = geom.materials.reshape((-1,1),order='F') + mask = _np.isin(materials,selection,invert=invert) if selection is not None else \ + _np.full(geom.grid.prod(),True,dtype=bool) + coords = grid_filters.cell_coord0(geom.grid,geom.size).reshape(-1,3,order='F') + + return (coords[mask],materials[mask]) From 0cbb419b26647dcb6ba6a9e64464695b40f8ae26 Mon Sep 17 00:00:00 2001 From: Philip Eisenlohr Date: Wed, 23 Sep 2020 09:43:29 -0400 Subject: [PATCH 029/103] PRIVATE/testint/pytest grid missed some renaming of microstructure --> materials --- PRIVATE | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/PRIVATE b/PRIVATE index 86f77da4a..c7accae52 160000 --- a/PRIVATE +++ b/PRIVATE @@ -1 +1 @@ -Subproject commit 86f77da4aec6cb52bbcc2724f00a6cf6a7dc6e91 +Subproject commit c7accae5211531f4282285620df909b74fadd4af From 3612b172954e3a5cc6be2e60174187c1138b8c33 Mon Sep 17 00:00:00 2001 From: Franz Roters Date: Wed, 23 Sep 2020 16:21:20 +0200 Subject: [PATCH 030/103] corrected Sphinx warnings --- PRIVATE | 2 +- python/damask/_colormap.py | 12 ++++++------ python/damask/_geom.py | 4 ++-- python/damask/_rotation.py | 20 ++++++++++---------- 4 files changed, 19 insertions(+), 19 deletions(-) diff --git a/PRIVATE b/PRIVATE index 3444f5334..7d2aaef23 160000 --- a/PRIVATE +++ b/PRIVATE @@ -1 +1 @@ -Subproject commit 3444f5334c1c6c05b781e0e25bbcb658d9ce7c5d +Subproject commit 7d2aaef2341b83db53b58c04c4bdd88a64d47765 diff --git a/python/damask/_colormap.py b/python/damask/_colormap.py index fa7d36ec2..6803f4c60 100644 --- a/python/damask/_colormap.py +++ b/python/damask/_colormap.py @@ -147,12 +147,12 @@ class Colormap(mpl.colors.ListedColormap): References ---------- - .. [1] DAMASK colormap theory - https://www.kennethmoreland.com/color-maps/ColorMapsExpanded.pdf - .. [2] DAMASK colormaps first use - https://doi.org/10.1016/j.ijplas.2012.09.012 - .. [3] Matplotlib colormaps overview - https://matplotlib.org/tutorials/colors/colormaps.html + [1] DAMASK colormap theory + https://www.kennethmoreland.com/color-maps/ColorMapsExpanded.pdf + [2] DAMASK colormaps first use + https://doi.org/10.1016/j.ijplas.2012.09.012 + [3] Matplotlib colormaps overview + https://matplotlib.org/tutorials/colors/colormaps.html """ print('DAMASK colormaps') diff --git a/python/damask/_geom.py b/python/damask/_geom.py index 41e1e22da..65a5e916a 100644 --- a/python/damask/_geom.py +++ b/python/damask/_geom.py @@ -559,8 +559,8 @@ class Geom: If given as floats, coordinates are addressed. exponent : numpy.ndarray of shape(3) or float Exponents for the three axis. - 0 gives octahedron (|x|^(2^0) + |y|^(2^0) + |z|^(2^0) < 1) - 1 gives a sphere (|x|^(2^1) + |y|^(2^1) + |z|^(2^1) < 1) + 0 gives octahedron (ǀxǀ^(2^0) + ǀyǀ^(2^0) + ǀzǀ^(2^0) < 1) + 1 gives a sphere (ǀxǀ^(2^1) + ǀyǀ^(2^1) + ǀzǀ^(2^1) < 1) fill : int, optional Fill value for primitive. Defaults to microstructure.max() + 1. R : damask.Rotation, optional diff --git a/python/damask/_rotation.py b/python/damask/_rotation.py index d9237c7e2..363dbfce8 100644 --- a/python/damask/_rotation.py +++ b/python/damask/_rotation.py @@ -212,7 +212,7 @@ class Rotation: Returns ------- q : numpy.ndarray of shape (...,4) - Unit quaternion in positive real hemisphere: (q_0, q_1, q_2, q_3), |q|=1, q_0 ≥ 0. + Unit quaternion in positive real hemisphere: (q_0, q_1, q_2, q_3), ǀqǀ=1, q_0 ≥ 0. """ return self.quaternion.copy() @@ -255,7 +255,7 @@ class Rotation: ------- axis_angle : numpy.ndarray of shape (...,4) unless pair == True: tuple containing numpy.ndarray of shapes (...,3) and (...) - Axis angle pair: (n_1, n_2, n_3, ω), |n| = 1 and ω ∈ [0,π] + Axis angle pair: (n_1, n_2, n_3, ω), ǀnǀ = 1 and ω ∈ [0,π] unless degrees = True: ω ∈ [0,180]. """ @@ -290,7 +290,7 @@ class Rotation: ------- rho : numpy.ndarray of shape (...,4) unless vector == True: numpy.ndarray of shape (...,3) - Rodrigues-Frank vector: [n_1, n_2, n_3, tan(ω/2)], |n| = 1 and ω ∈ [0,π]. + Rodrigues-Frank vector: [n_1, n_2, n_3, tan(ω/2)], ǀnǀ = 1 and ω ∈ [0,π]. """ ro = Rotation._qu2ro(self.quaternion) @@ -307,7 +307,7 @@ class Rotation: Returns ------- h : numpy.ndarray of shape (...,3) - Homochoric vector: (h_1, h_2, h_3), |h| < 1/2*π^(2/3). + Homochoric vector: (h_1, h_2, h_3), ǀhǀ < 1/2*π^(2/3). """ return Rotation._qu2ho(self.quaternion) @@ -353,7 +353,7 @@ class Rotation: ---------- q : numpy.ndarray of shape (...,4) Unit quaternion in positive real hemisphere: (q_0, q_1, q_2, q_3), - |q|=1, q_0 ≥ 0. + ǀqǀ=1, q_0 ≥ 0. accept_homomorph : boolean, optional Allow homomorphic variants, i.e. q_0 < 0 (negative real hemisphere). Defaults to False. @@ -416,12 +416,12 @@ class Rotation: Parameters ---------- axis_angle : numpy.ndarray of shape (...,4) - Axis angle pair: [n_1, n_2, n_3, ω], |n| = 1 and ω ∈ [0,π] + Axis angle pair: [n_1, n_2, n_3, ω], ǀnǀ = 1 and ω ∈ [0,π] unless degrees = True: ω ∈ [0,180]. degrees : boolean, optional Angle ω is given in degrees. Defaults to False. normalize: boolean, optional - Allow |n| ≠ 1. Defaults to False. + Allow ǀnǀ ≠ 1. Defaults to False. P : int ∈ {-1,1}, optional Convention used. Defaults to -1. @@ -503,9 +503,9 @@ class Rotation: ---------- rho : numpy.ndarray of shape (...,4) Rodrigues-Frank vector (angle separated from axis). - (n_1, n_2, n_3, tan(ω/2)), |n| = 1 and ω ∈ [0,π]. + (n_1, n_2, n_3, tan(ω/2)), ǀnǀ = 1 and ω ∈ [0,π]. normalize : boolean, optional - Allow |n| ≠ 1. Defaults to False. + Allow ǀnǀ ≠ 1. Defaults to False. P : int ∈ {-1,1}, optional Convention used. Defaults to -1. @@ -534,7 +534,7 @@ class Rotation: Parameters ---------- h : numpy.ndarray of shape (...,3) - Homochoric vector: (h_1, h_2, h_3), |h| < (3/4*π)^(1/3). + Homochoric vector: (h_1, h_2, h_3), ǀhǀ < (3/4*π)^(1/3). P : int ∈ {-1,1}, optional Convention used. Defaults to -1. From 9bce1ddc29255b6ffdee6e377fb6883e9ae19e09 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Wed, 23 Sep 2020 20:48:34 +0200 Subject: [PATCH 031/103] simplified --- python/damask/seeds.py | 14 +++++++------- 1 file changed, 7 insertions(+), 7 deletions(-) diff --git a/python/damask/seeds.py b/python/damask/seeds.py index e2cb5fc75..10d247859 100644 --- a/python/damask/seeds.py +++ b/python/damask/seeds.py @@ -31,10 +31,10 @@ def from_random(size,N_seeds,grid=None,seed=None): coords = grid_coords[rng.choice(_np.prod(grid),N_seeds, replace=False)] \ + _np.broadcast_to(size/grid,(N_seeds,3))*(rng.random((N_seeds,3))*.5-.25) # wobble without leaving grid - return (coords,_np.arange(N_seeds,dtype='i')) + coords -def from_poisson_disc(size,N_seeds,N_candidates,distance,seed=None): +def from_Poisson_disc(size,N_seeds,N_candidates,distance,seed=None): """ Seeding in space according to a Poisson disc distribution. @@ -69,7 +69,7 @@ def from_poisson_disc(size,N_seeds,N_candidates,distance,seed=None): i += 1 progress.update(i) - return (coords,_np.arange(N_seeds,dtype='i')) + return coords def from_geom(geom,selection=None,invert=False): @@ -82,9 +82,9 @@ def from_geom(geom,selection=None,invert=False): ... """ - materials = geom.materials.reshape((-1,1),order='F') - mask = _np.isin(materials,selection,invert=invert) if selection is not None else \ - _np.full(geom.grid.prod(),True,dtype=bool) + material = geom.materials.reshape((-1,1),order='F') + mask = _np.full(geom.grid.prod(),True,dtype=bool) if selection is None else \ + _np.isin(material,selection,invert=invert) coords = grid_filters.cell_coord0(geom.grid,geom.size).reshape(-1,3,order='F') - return (coords[mask],materials[mask]) + return (coords[mask],material[mask]) From cfeec531780f9ce2d04cbac438b9f514f4cf83d8 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Wed, 23 Sep 2020 21:08:42 +0200 Subject: [PATCH 032/103] dataset is called 'material', not 'materialpoint' avoid infinite loop in case it is not found --- src/grid/discretization_grid.f90 | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/src/grid/discretization_grid.f90 b/src/grid/discretization_grid.f90 index 276dd566f..271f766e2 100644 --- a/src/grid/discretization_grid.f90 +++ b/src/grid/discretization_grid.f90 @@ -366,9 +366,8 @@ subroutine readVTR(grid,geomSize,origin,microstructure) gotCellData = .true. startPos = endPos + 2_pI64 do while (index(fileContent(startPos:endPos),'',kind=pI64) == 0_pI64) - endPos = startPos + index(fileContent(startPos:),IO_EOL,kind=pI64) - 2_pI64 if(index(fileContent(startPos:endPos),'',kind=pI64) /= 0_pI64) then gotCoordinates = .true. From 8c83566b71ff0f83049817584a44a58842d975cb Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Wed, 23 Sep 2020 21:10:10 +0200 Subject: [PATCH 033/103] suppress warning we already handle the invalid FPE --- python/damask/util.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/python/damask/util.py b/python/damask/util.py index 6432ed4e1..0a9303dce 100644 --- a/python/damask/util.py +++ b/python/damask/util.py @@ -172,7 +172,7 @@ def scale_to_coprime(v): m = (np.array(v) * reduce(lcm, map(lambda x: int(get_square_denominator(x)),v)) ** 0.5).astype(np.int) m = m//reduce(np.gcd,m) - with np.errstate(divide='ignore'): + with np.errstate(invalid='ignore'): if not np.allclose(np.ma.masked_invalid(v/m),v[np.argmax(abs(v))]/m[np.argmax(abs(v))]): raise ValueError(f'Invalid result {m} for input {v}. Insufficient precision?') From fa413efcbb88942145cc8e96bd34d7fbfe298727 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Wed, 23 Sep 2020 21:25:14 +0200 Subject: [PATCH 034/103] microstructure -> material --- PRIVATE | 2 +- src/grid/discretization_grid.f90 | 38 +++++++++++++++----------------- src/marc/discretization_marc.f90 | 32 +++++++++++++-------------- 3 files changed, 35 insertions(+), 37 deletions(-) diff --git a/PRIVATE b/PRIVATE index c7accae52..ff07e6d60 160000 --- a/PRIVATE +++ b/PRIVATE @@ -1 +1 @@ -Subproject commit c7accae5211531f4282285620df909b74fadd4af +Subproject commit ff07e6d60bffff734572d46ab1dec1c2280dc4fe diff --git a/src/grid/discretization_grid.f90 b/src/grid/discretization_grid.f90 index 271f766e2..e3c31c345 100644 --- a/src/grid/discretization_grid.f90 +++ b/src/grid/discretization_grid.f90 @@ -56,7 +56,7 @@ subroutine discretization_grid_init(restart) myGrid !< domain grid of this process integer, dimension(:), allocatable :: & - microstructureAt + materialAt integer :: & j, & @@ -68,9 +68,9 @@ subroutine discretization_grid_init(restart) write(6,'(/,a)') ' <<<+- discretization_grid init -+>>>'; flush(6) if(index(interface_geomFile,'.vtr') /= 0) then - call readVTR(grid,geomSize,origin,microstructureAt) + call readVTR(grid,geomSize,origin,materialAt) else - call readGeom(grid,geomSize,origin,microstructureAt) + call readGeom(grid,geomSize,origin,materialAt) endif print'(/,a,3(i12 ))', ' grid a b c: ', grid @@ -102,10 +102,9 @@ subroutine discretization_grid_init(restart) !-------------------------------------------------------------------------------------------------- ! general discretization - microstructureAt = microstructureAt(product(grid(1:2))*grid3Offset+1: & - product(grid(1:2))*(grid3Offset+grid3)) ! reallocate/shrink in case of MPI + materialAt = materialAt(product(grid(1:2))*grid3Offset+1:product(grid(1:2))*(grid3Offset+grid3)) ! reallocate/shrink in case of MPI - call discretization_init(microstructureAt, & + call discretization_init(materialAt, & IPcoordinates0(myGrid,mySize,grid3Offset), & Nodes0(myGrid,mySize,grid3Offset),& merge((grid(1)+1) * (grid(2)+1) * (grid3+1),& ! write bottom layer @@ -147,7 +146,7 @@ end subroutine discretization_grid_init !> @details important variables have an implicit "save" attribute. Therefore, this function is ! supposed to be called only once! !-------------------------------------------------------------------------------------------------- -subroutine readGeom(grid,geomSize,origin,microstructure) +subroutine readGeom(grid,geomSize,origin,material) integer, dimension(3), intent(out) :: & grid ! grid (across all processes!) @@ -155,7 +154,7 @@ subroutine readGeom(grid,geomSize,origin,microstructure) geomSize, & ! size (across all processes!) origin ! origin (across all processes!) integer, dimension(:), intent(out), allocatable :: & - microstructure + material character(len=:), allocatable :: rawData character(len=65536) :: line @@ -167,7 +166,7 @@ subroutine readGeom(grid,geomSize,origin,microstructure) startPos, endPos, & myStat, & l, & !< line counter - c, & !< counter for # microstructures in line + c, & !< counter for # materials in line o, & !< order of "to" packing e, & !< "element", i.e. spectral collocation point i, j @@ -266,7 +265,7 @@ subroutine readGeom(grid,geomSize,origin,microstructure) if(any(geomSize < 0.0_pReal)) & call IO_error(error_ID = 842, ext_msg='size (readGeom)') - allocate(microstructure(product(grid)), source = -1) ! too large in case of MPI (shrink later, not very elegant) + allocate(material(product(grid)), source = -1) ! too large in case of MPI (shrink later, not very elegant) !-------------------------------------------------------------------------------------------------- ! read and interpret content @@ -281,18 +280,18 @@ subroutine readGeom(grid,geomSize,origin,microstructure) noCompression: if (chunkPos(1) /= 3) then c = chunkPos(1) - microstructure(e:e+c-1) = [(IO_intValue(line,chunkPos,i+1), i=0, c-1)] + material(e:e+c-1) = [(IO_intValue(line,chunkPos,i+1), i=0, c-1)] else noCompression compression: if (IO_lc(IO_stringValue(line,chunkPos,2)) == 'of') then c = IO_intValue(line,chunkPos,1) - microstructure(e:e+c-1) = [(IO_intValue(line,chunkPos,3),i = 1,IO_intValue(line,chunkPos,1))] + material(e:e+c-1) = [(IO_intValue(line,chunkPos,3),i = 1,IO_intValue(line,chunkPos,1))] else if (IO_lc(IO_stringValue(line,chunkPos,2)) == 'to') then compression c = abs(IO_intValue(line,chunkPos,3) - IO_intValue(line,chunkPos,1)) + 1 o = merge(+1, -1, IO_intValue(line,chunkPos,3) > IO_intValue(line,chunkPos,1)) - microstructure(e:e+c-1) = [(i, i = IO_intValue(line,chunkPos,1),IO_intValue(line,chunkPos,3),o)] + material(e:e+c-1) = [(i, i = IO_intValue(line,chunkPos,1),IO_intValue(line,chunkPos,3),o)] else compression c = chunkPos(1) - microstructure(e:e+c-1) = [(IO_intValue(line,chunkPos,i+1), i=0, c-1)] + material(e:e+c-1) = [(IO_intValue(line,chunkPos,i+1), i=0, c-1)] endif compression endif noCompression @@ -308,7 +307,7 @@ end subroutine readGeom !> @brief Parse vtk rectilinear grid (.vtr) !> @details https://vtk.org/Wiki/VTK_XML_Formats !-------------------------------------------------------------------------------------------------- -subroutine readVTR(grid,geomSize,origin,microstructure) +subroutine readVTR(grid,geomSize,origin,material) integer, dimension(3), intent(out) :: & grid ! grid (across all processes!) @@ -316,7 +315,7 @@ subroutine readVTR(grid,geomSize,origin,microstructure) geomSize, & ! size (across all processes!) origin ! origin (across all processes!) integer, dimension(:), intent(out), allocatable :: & - microstructure + material character(len=:), allocatable :: fileContent, dataType, headerType logical :: inFile,inGrid,gotCoordinates,gotCellData,compressed @@ -364,7 +363,6 @@ subroutine readVTR(grid,geomSize,origin,microstructure) else if(index(fileContent(startPos:endPos),'',kind=pI64) /= 0_pI64) then gotCellData = .true. - startPos = endPos + 2_pI64 do while (index(fileContent(startPos:endPos),'',kind=pI64) == 0_pI64) if(index(fileContent(startPos:endPos),' nElems) call IO_error(602,ext_msg='element') @@ -103,7 +103,7 @@ subroutine discretization_marc_init call buildIPcoordinates(IP_reshaped,reshape(connectivity_cell,[elem%NcellNodesPerCell,& elem%nIPs*nElems]),node0_cell) - call discretization_init(microstructureAt,& + call discretization_init(materialAt,& IP_reshaped,& node0_cell) @@ -172,7 +172,7 @@ end subroutine writeGeometry !-------------------------------------------------------------------------------------------------- !> @brief Read mesh from marc input file !-------------------------------------------------------------------------------------------------- -subroutine inputRead(elem,node0_elem,connectivity_elem,microstructureAt) +subroutine inputRead(elem,node0_elem,connectivity_elem,materialAt) type(tElement), intent(out) :: elem real(pReal), dimension(:,:), allocatable, intent(out) :: & @@ -180,7 +180,7 @@ subroutine inputRead(elem,node0_elem,connectivity_elem,microstructureAt) integer, dimension(:,:), allocatable, intent(out) :: & connectivity_elem integer, dimension(:), allocatable, intent(out) :: & - microstructureAt + materialAt integer :: & fileFormatVersion, & @@ -226,9 +226,9 @@ subroutine inputRead(elem,node0_elem,connectivity_elem,microstructureAt) connectivity_elem = inputRead_connectivityElem(nElems,elem%nNodes,inputFile) - call inputRead_microstructure(microstructureAt, & - nElems,elem%nNodes,nameElemSet,mapElemSet,& - initialcondTableStyle,inputFile) + call inputRead_material(materialAt, & + nElems,elem%nNodes,nameElemSet,mapElemSet,& + initialcondTableStyle,inputFile) end subroutine inputRead @@ -675,13 +675,13 @@ end function inputRead_connectivityElem !-------------------------------------------------------------------------------------------------- -!> @brief Store microstructure ID +!> @brief Store material ID !-------------------------------------------------------------------------------------------------- -subroutine inputRead_microstructure(microstructureAt,& - nElem,nNodes,nameElemSet,mapElemSet,initialcondTableStyle,fileContent) +subroutine inputRead_material(materialAt,& + nElem,nNodes,nameElemSet,mapElemSet,initialcondTableStyle,fileContent) integer, dimension(:), allocatable, intent(out) :: & - microstructureAt + materialAt integer, intent(in) :: & nElem, & nNodes, & !< number of nodes per element @@ -696,7 +696,7 @@ subroutine inputRead_microstructure(microstructureAt,& integer :: i,j,t,sv,myVal,e,nNodesAlreadyRead,l,k,m - allocate(microstructureAt(nElem),source=0) + allocate(materialAt(nElem),source=0) do l = 1, size(fileContent) chunkPos = IO_stringPos(fileContent(l)) @@ -715,7 +715,7 @@ subroutine inputRead_microstructure(microstructureAt,& contInts = continuousIntValues(fileContent(l+k+m+1:),nElem,nameElemSet,mapElemSet,size(nameElemSet)) ! get affected elements do i = 1,contInts(1) e = mesh_FEM2DAMASK_elem(contInts(1+i)) - microstructureAt(e) = myVal + materialAt(e) = myVal enddo if (initialcondTableStyle == 0) m = m + 1 enddo @@ -723,9 +723,9 @@ subroutine inputRead_microstructure(microstructureAt,& endif enddo - if(any(microstructureAt < 1)) call IO_error(180) + if(any(materialAt < 1)) call IO_error(180) -end subroutine inputRead_microstructure +end subroutine inputRead_material !-------------------------------------------------------------------------------------------------- From 8c8db5b99f0364c860c458b2c4df65ca74ee3a37 Mon Sep 17 00:00:00 2001 From: Philip Eisenlohr Date: Wed, 23 Sep 2020 17:27:15 -0400 Subject: [PATCH 035/103] switched "Geom.materials" to "Geom.material" --- processing/pre/geom_grainGrowth.py | 40 ++-- processing/pre/mentat_spectralBox.py | 12 +- processing/pre/seeds_fromDistribution.py | 14 +- processing/pre/seeds_fromGeom.py | 8 +- processing/pre/seeds_fromPokes.py | 2 +- python/damask/_geom.py | 234 ++++++++++++----------- python/tests/test_Geom.py | 52 ++--- 7 files changed, 182 insertions(+), 180 deletions(-) diff --git a/processing/pre/geom_grainGrowth.py b/processing/pre/geom_grainGrowth.py index a573a9fed..b5793f703 100755 --- a/processing/pre/geom_grainGrowth.py +++ b/processing/pre/geom_grainGrowth.py @@ -66,13 +66,13 @@ for name in filenames: grid_original = geom.grid damask.util.croak(geom) - materials = np.tile(geom.materials,np.where(grid_original == 1, 2,1)) # make one copy along dimensions with grid == 1 - grid = np.array(materials.shape) + material = np.tile(geom.material,np.where(grid_original == 1, 2,1)) # make one copy along dimensions with grid == 1 + grid = np.array(material.shape) # --- initialize support data --------------------------------------------------------------------- # store a copy of the initial material indices to find locations of immutable indices - materials_original = np.copy(materials) + material_original = np.copy(material) if not options.ndimage: X,Y,Z = np.mgrid[0:grid[0],0:grid[1],0:grid[2]] @@ -88,14 +88,14 @@ for name in filenames: for smoothIter in range(options.N): - interfaceEnergy = np.zeros(materials.shape,dtype=np.float32) + interfaceEnergy = np.zeros(material.shape,dtype=np.float32) for i in (-1,0,1): for j in (-1,0,1): for k in (-1,0,1): # assign interfacial energy to all voxels that have a differing neighbor (in Moore neighborhood) interfaceEnergy = np.maximum(interfaceEnergy, - getInterfaceEnergy(materials,np.roll(np.roll(np.roll( - materials,i,axis=0), j,axis=1), k,axis=2))) + getInterfaceEnergy(material,np.roll(np.roll(np.roll( + material,i,axis=0), j,axis=1), k,axis=2))) # periodically extend interfacial energy array by half a grid size in positive and negative directions periodic_interfaceEnergy = np.tile(interfaceEnergy,(3,3,3))[grid[0]//2:-grid[0]//2, @@ -143,33 +143,33 @@ for name in filenames: return_distances = False, return_indices = True) # want index of closest bulk grain - periodic_materials = np.tile(materials,(3,3,3))[grid[0]//2:-grid[0]//2, - grid[1]//2:-grid[1]//2, - grid[2]//2:-grid[2]//2] # periodically extend the geometry + periodic_material = np.tile(material,(3,3,3))[grid[0]//2:-grid[0]//2, + grid[1]//2:-grid[1]//2, + grid[2]//2:-grid[2]//2] # periodically extend the geometry - materials = periodic_materials[index[0], - index[1], - index[2]].reshape(2*grid)[grid[0]//2:-grid[0]//2, - grid[1]//2:-grid[1]//2, - grid[2]//2:-grid[2]//2] # extent grains into interface region + material = periodic_material[index[0], + index[1], + index[2]].reshape(2*grid)[grid[0]//2:-grid[0]//2, + grid[1]//2:-grid[1]//2, + grid[2]//2:-grid[2]//2] # extent grains into interface region # replace immutable materials with closest mutable ones - index = ndimage.morphology.distance_transform_edt(np.in1d(materials,options.immutable).reshape(grid), + index = ndimage.morphology.distance_transform_edt(np.in1d(material,options.immutable).reshape(grid), return_distances = False, return_indices = True) - materials = materials[index[0], + material = material[index[0], index[1], index[2]] - immutable = np.zeros(materials.shape, dtype=np.bool) + immutable = np.zeros(material.shape, dtype=np.bool) # find locations where immutable materials have been in original structure for micro in options.immutable: - immutable += materials_original == micro + immutable += material_original == micro # undo any changes involving immutable materials - materials = np.where(immutable, materials_original,materials) + material = np.where(immutable, material_original,material) - damask.Geom(materials = materials[0:grid_original[0],0:grid_original[1],0:grid_original[2]], + damask.Geom(material = material[0:grid_original[0],0:grid_original[1],0:grid_original[2]], size = geom.size, origin = geom.origin, comments = geom.comments + [scriptID + ' ' + ' '.join(sys.argv[1:])], diff --git a/processing/pre/mentat_spectralBox.py b/processing/pre/mentat_spectralBox.py index 98703219f..7d78cb973 100755 --- a/processing/pre/mentat_spectralBox.py +++ b/processing/pre/mentat_spectralBox.py @@ -100,7 +100,7 @@ def mesh(r,d): #------------------------------------------------------------------------------------------------- -def material(): +def materials(): return [\ "*new_mater standard", "*mater_option general:state:solid", @@ -130,10 +130,10 @@ def geometry(): #------------------------------------------------------------------------------------------------- -def initial_conditions(materials): +def initial_conditions(material): elements = [] element = 0 - for id in materials: + for id in material: element += 1 if len(elements) < id: for i in range(id-len(elements)): @@ -197,14 +197,14 @@ for name in filenames: damask.util.report(scriptName,name) geom = damask.Geom.load_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) - materials = geom.materials.flatten(order='F') + material = geom.material.flatten(order='F') cmds = [\ init(), mesh(geom.grid,geom.size), - material(), + materials(), geometry(), - initial_conditions(materials), + initial_conditions(material), '*identify_sets', '*show_model', '*redraw', diff --git a/processing/pre/seeds_fromDistribution.py b/processing/pre/seeds_fromDistribution.py index 030f3d6fa..48f803d29 100755 --- a/processing/pre/seeds_fromDistribution.py +++ b/processing/pre/seeds_fromDistribution.py @@ -101,8 +101,8 @@ class myThread (threading.Thread): #--- evaluate current seeds file ------------------------------------------------------------------ perturbedGeom = damask.Geom.load_ASCII(perturbedGeomVFile) - myNmaterials = len(np.unique(perturbedGeom.materials)) - currentData=np.bincount(perturbedGeom.materials.ravel())[1:]/points + myNmaterials = len(np.unique(perturbedGeom.material)) + currentData = np.bincount(perturbedGeom.material.ravel())[1:]/points currentError=[] currentHist=[] for i in range(nMaterials): # calculate the deviation in all bins per histogram @@ -217,8 +217,8 @@ points = np.array(options.grid).prod().astype('float') # ----------- calculate target distribution and bin edges targetGeom = damask.Geom.load_ASCII(os.path.splitext(os.path.basename(options.target))[0]+'.geom') -nMaterials = len(np.unique(targetGeom.materials)) -targetVolFrac = np.bincount(targetGeom.materials.flatten())/targetGeom.grid.prod().astype(np.float) +nMaterials = len(np.unique(targetGeom.material)) +targetVolFrac = np.bincount(targetGeom.material.flatten())/targetGeom.grid.prod().astype(np.float) target = [] for i in range(1,nMaterials+1): targetHist,targetBins = np.histogram(targetVolFrac,bins=i) #bin boundaries @@ -244,10 +244,10 @@ initialGeomVFile.write(damask.util.execute('geom_fromVoronoiTessellation '+ initialGeomVFile.seek(0) initialGeom = damask.Geom.load_ASCII(initialGeomVFile) -if len(np.unique(targetGeom.materials)) != nMaterials: +if len(np.unique(targetGeom.material)) != nMaterials: damask.util.croak('error. Material count mismatch') -initialData = np.bincount(initialGeom.materials.flatten())/points +initialData = np.bincount(initialGeom.material.flatten())/points for i in range(nMaterials): initialHist = np.histogram(initialData,bins=target[i]['bins'])[0] target[i]['error']=np.sqrt(np.square(np.array(target[i]['histogram']-initialHist)).sum()) @@ -263,7 +263,7 @@ for i in range(nMaterials): if options.maxseeds < 1: - maxSeeds = len(np.unique(initialGeom.materials)) + maxSeeds = len(np.unique(initialGeom.material)) else: maxSeeds = options.maxseeds diff --git a/processing/pre/seeds_fromGeom.py b/processing/pre/seeds_fromGeom.py index de95b439d..b8d74b651 100755 --- a/processing/pre/seeds_fromGeom.py +++ b/processing/pre/seeds_fromGeom.py @@ -47,11 +47,11 @@ for name in filenames: damask.util.report(scriptName,name) geom = damask.Geom.load_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) - materials = geom.materials.reshape((-1,1),order='F') + material = geom.material.reshape((-1,1),order='F') - mask = np.logical_and(np.in1d(materials,options.whitelist,invert=False) if options.whitelist else \ + mask = np.logical_and(np.in1d(material,options.whitelist,invert=False) if options.whitelist else \ np.full(geom.grid.prod(),True,dtype=bool), - np.in1d(materials,options.blacklist,invert=True) if options.blacklist else \ + np.in1d(material,options.blacklist,invert=True) if options.blacklist else \ np.full(geom.grid.prod(),True,dtype=bool)) seeds = damask.grid_filters.cell_coord0(geom.grid,geom.size).reshape(-1,3,order='F') @@ -64,5 +64,5 @@ for name in filenames: ] damask.Table(seeds[mask],{'pos':(3,)},comments)\ - .add('material',materials[mask].astype(int))\ + .add('material',material[mask].astype(int))\ .save(sys.stdout if name is None else os.path.splitext(name)[0]+'.seeds',legacy=True) diff --git a/processing/pre/seeds_fromPokes.py b/processing/pre/seeds_fromPokes.py index ff9d250fc..887d76392 100755 --- a/processing/pre/seeds_fromPokes.py +++ b/processing/pre/seeds_fromPokes.py @@ -76,7 +76,7 @@ for name in filenames: g[2] = k + offset[2] g %= geom.grid seeds[n,0:3] = (g+0.5)/geom.grid # normalize coordinates to box - seeds[n, 3] = geom.materials[g[0],g[1],g[2]] + seeds[n, 3] = geom.material[g[0],g[1],g[2]] if options.x: g[0] += 1 if options.y: g[1] += 1 n += 1 diff --git a/python/damask/_geom.py b/python/damask/_geom.py index 86d11b9be..6af265021 100644 --- a/python/damask/_geom.py +++ b/python/damask/_geom.py @@ -15,13 +15,13 @@ from . import grid_filters class Geom: """Geometry definition for grid solvers.""" - def __init__(self,materials,size,origin=[0.0,0.0,0.0],comments=[]): + def __init__(self,material,size,origin=[0.0,0.0,0.0],comments=[]): """ - New geometry definition from array of materials, size, and origin. + New geometry definition from array of material, size, and origin. Parameters ---------- - materials : numpy.ndarray + material : numpy.ndarray Material index array (3D). size : list or numpy.ndarray Physical size of the geometry in meter. @@ -31,16 +31,16 @@ class Geom: Comment lines. """ - if len(materials.shape) != 3: - raise ValueError(f'Invalid materials shape {materials.shape}.') - elif materials.dtype not in np.sctypes['float'] + np.sctypes['int']: - raise TypeError(f'Invalid materials data type {materials.dtype}.') + if len(material.shape) != 3: + raise ValueError(f'Invalid material shape {material.shape}.') + elif material.dtype not in np.sctypes['float'] + np.sctypes['int']: + raise TypeError(f'Invalid material data type {material.dtype}.') else: - self.materials = np.copy(materials) + self.material = np.copy(material) - if self.materials.dtype in np.sctypes['float'] and \ - np.all(self.materials == self.materials.astype(int).astype(float)): - self.materials = self.materials.astype(int) + if self.material.dtype in np.sctypes['float'] and \ + np.all(self.material == self.material.astype(int).astype(float)): + self.material = self.material.astype(int) if len(size) != 3 or any(np.array(size) <= 0): raise ValueError(f'Invalid size {size}.') @@ -62,7 +62,7 @@ class Geom: f'size x y z: {util.srepr(self.size, " x ")}', f'origin x y z: {util.srepr(self.origin," ")}', f'# materials: {self.N_materials}', - f'max material: {np.nanmax(self.materials)}', + f'max material: {np.nanmax(self.material)}', ]) @@ -103,21 +103,21 @@ class Geom: message.append(util.delete(f'# materials: {other.N_materials}')) message.append(util.emph( f'# materials: { self.N_materials}')) - if np.nanmax(other.materials) != np.nanmax(self.materials): - message.append(util.delete(f'max material: {np.nanmax(other.materials)}')) - message.append(util.emph( f'max material: {np.nanmax( self.materials)}')) + if np.nanmax(other.material) != np.nanmax(self.material): + message.append(util.delete(f'max material: {np.nanmax(other.material)}')) + message.append(util.emph( f'max material: {np.nanmax( self.material)}')) return util.return_message(message) @property def grid(self): - return np.asarray(self.materials.shape) + return np.asarray(self.material.shape) @property def N_materials(self): - return np.unique(self.materials).size + return np.unique(self.material).size @staticmethod @@ -160,7 +160,7 @@ class Geom: else: comments.append(line.strip()) - materials = np.empty(grid.prod()) # initialize as flat array + material = np.empty(grid.prod()) # initialize as flat array i = 0 for line in content[header_length:]: items = line.split('#')[0].split() @@ -172,16 +172,16 @@ class Geom: abs(int(items[2])-int(items[0]))+1,dtype=float) else: items = list(map(float,items)) else: items = list(map(float,items)) - materials[i:i+len(items)] = items + material[i:i+len(items)] = items i += len(items) if i != grid.prod(): raise TypeError(f'Invalid file: expected {grid.prod()} entries, found {i}') - if not np.any(np.mod(materials,1) != 0.0): # no float present - materials = materials.astype('int') + if not np.any(np.mod(material,1) != 0.0): # no float present + material = material.astype('int') - return Geom(materials.reshape(grid,order='F'),size,origin,comments) + return Geom(material.reshape(grid,order='F'),size,origin,comments) @staticmethod @@ -200,9 +200,11 @@ class Geom: comments = v.get_comments() grid = np.array(v.vtk_data.GetDimensions())-1 bbox = np.array(v.vtk_data.GetBounds()).reshape(3,2).T - size = bbox[1] - bbox[0] - return Geom(v.get('material').reshape(grid,order='F'),size,bbox[0],comments=comments) + return Geom(material = v.get('material').reshape(grid,order='F'), + size = bbox[1] - bbox[0], + origin = bbox[0], + comments=comments) @staticmethod @@ -243,17 +245,17 @@ class Geom: result = pool.map_async(partial(Geom._find_closest_seed,seeds_p,weights_p), [coord for coord in coords]) pool.close() pool.join() - materials = np.array(result.get()) + material = np.array(result.get()) if periodic: - materials = materials.reshape(grid*3) - materials = materials[grid[0]:grid[0]*2,grid[1]:grid[1]*2,grid[2]:grid[2]*2]%seeds.shape[0] + material = material.reshape(grid*3) + material = material[grid[0]:grid[0]*2,grid[1]:grid[1]*2,grid[2]:grid[2]*2]%seeds.shape[0] else: - materials = materials.reshape(grid) + material = material.reshape(grid) - return Geom(materials = materials+1, - size = size, - comments = util.execution_stamp('Geom','from_Laguerre_tessellation'), + return Geom(material = material+1, + size = size, + comments = util.execution_stamp('Geom','from_Laguerre_tessellation'), ) @@ -276,11 +278,11 @@ class Geom: """ coords = grid_filters.cell_coord0(grid,size).reshape(-1,3) KDTree = spatial.cKDTree(seeds,boxsize=size) if periodic else spatial.cKDTree(seeds) - devNull,materials = KDTree.query(coords) + devNull,material = KDTree.query(coords) - return Geom(materials = materials.reshape(grid)+1, - size = size, - comments = util.execution_stamp('Geom','from_Voronoi_tessellation'), + return Geom(material = material.reshape(grid)+1, + size = size, + comments = util.execution_stamp('Geom','from_Voronoi_tessellation'), ) @@ -311,10 +313,10 @@ class Geom: plain = not compress if plain: - format_string = '%g' if self.materials.dtype in np.sctypes['float'] else \ - '%{}i'.format(1+int(np.floor(np.log10(np.nanmax(self.materials))))) + format_string = '%g' if self.material.dtype in np.sctypes['float'] else \ + '%{}i'.format(1+int(np.floor(np.log10(np.nanmax(self.material))))) np.savetxt(fname, - self.materials.reshape([grid[0],np.prod(grid[1:])],order='F').T, + self.material.reshape([grid[0],np.prod(grid[1:])],order='F').T, header='\n'.join(header), fmt=format_string, comments='') else: try: @@ -325,7 +327,7 @@ class Geom: compressType = None former = start = -1 reps = 0 - for current in self.materials.flatten('F'): + for current in self.material.flatten('F'): if abs(current - former) == 1 and (start - current) == reps*(former - current): compressType = 'to' reps += 1 @@ -370,7 +372,7 @@ class Geom: """ v = VTK.from_rectilinearGrid(self.grid,self.size,self.origin) - v.add(self.materials.flatten(order='F'),'material') + v.add(self.material.flatten(order='F'),'material') v.add_comments(self.comments) v.save(fname if str(fname).endswith('.vtr') else str(fname)+'.vtr',parallel=False,compress=compress) @@ -402,7 +404,7 @@ class Geom: 0 gives octahedron (|x|^(2^0) + |y|^(2^0) + |z|^(2^0) < 1) 1 gives a sphere (|x|^(2^1) + |y|^(2^1) + |z|^(2^1) < 1) fill : int, optional - Fill value for primitive. Defaults to materials.max() + 1. + Fill value for primitive. Defaults to material.max() + 1. R : damask.Rotation, optional Rotation of primitive. Defaults to no rotation. inverse : Boolean, optional @@ -428,12 +430,12 @@ class Geom: if periodic: # translate back to center mask = np.roll(mask,((c-np.ones(3)*.5)*self.grid).astype(int),(0,1,2)) - fill_ = np.full_like(self.materials,np.nanmax(self.materials)+1 if fill is None else fill) + fill_ = np.full_like(self.material,np.nanmax(self.material)+1 if fill is None else fill) - return Geom(materials = np.where(np.logical_not(mask) if inverse else mask, self.materials,fill_), - size = self.size, - origin = self.origin, - comments = self.comments+[util.execution_stamp('Geom','add_primitive')], + return Geom(material = np.where(np.logical_not(mask) if inverse else mask, self.material,fill_), + size = self.size, + origin = self.origin, + comments = self.comments+[util.execution_stamp('Geom','add_primitive')], ) @@ -455,19 +457,19 @@ class Geom: raise ValueError(f'Invalid direction {set(directions).difference(valid)} specified.') limits = [None,None] if reflect else [-2,0] - ms = self.materials.copy() + mat = self.material.copy() if 'x' in directions: - ms = np.concatenate([ms,ms[limits[0]:limits[1]:-1,:,:]],0) + mat = np.concatenate([mat,mat[limits[0]:limits[1]:-1,:,:]],0) if 'y' in directions: - ms = np.concatenate([ms,ms[:,limits[0]:limits[1]:-1,:]],1) + mat = np.concatenate([mat,mat[:,limits[0]:limits[1]:-1,:]],1) if 'z' in directions: - ms = np.concatenate([ms,ms[:,:,limits[0]:limits[1]:-1]],2) + mat = np.concatenate([mat,mat[:,:,limits[0]:limits[1]:-1]],2) - return Geom(materials = ms, - size = self.size/self.grid*np.asarray(ms.shape), - origin = self.origin, - comments = self.comments+[util.execution_stamp('Geom','mirror')], + return Geom(material = mat, + size = self.size/self.grid*np.asarray(mat.shape), + origin = self.origin, + comments = self.comments+[util.execution_stamp('Geom','mirror')], ) @@ -486,12 +488,12 @@ class Geom: if not set(directions).issubset(valid): raise ValueError(f'Invalid direction {set(directions).difference(valid)} specified.') - ms = np.flip(self.materials, (valid.index(d) for d in directions if d in valid)) + mat = np.flip(self.material, (valid.index(d) for d in directions if d in valid)) - return Geom(materials = ms, - size = self.size, - origin = self.origin, - comments = self.comments+[util.execution_stamp('Geom','flip')], + return Geom(material = mat, + size = self.size, + origin = self.origin, + comments = self.comments+[util.execution_stamp('Geom','flip')], ) @@ -507,17 +509,17 @@ class Geom: Assume geometry to be periodic. Defaults to True. """ - return Geom(materials = ndimage.interpolation.zoom( - self.materials, + return Geom(material = ndimage.interpolation.zoom( + self.material, grid/self.grid, - output=self.materials.dtype, + output=self.material.dtype, order=0, mode=('wrap' if periodic else 'nearest'), prefilter=False ), - size = self.size, - origin = self.origin, - comments = self.comments+[util.execution_stamp('Geom','scale')], + size = self.size, + origin = self.origin, + comments = self.comments+[util.execution_stamp('Geom','scale')], ) @@ -543,29 +545,29 @@ class Geom: else: return me - return Geom(materials = ndimage.filters.generic_filter( - self.materials, + return Geom(material = ndimage.filters.generic_filter( + self.material, mostFrequent, size=(stencil if selection is None else stencil//2*2+1,)*3, mode=('wrap' if periodic else 'nearest'), extra_keywords=dict(selection=selection), - ).astype(self.materials.dtype), - size = self.size, - origin = self.origin, - comments = self.comments+[util.execution_stamp('Geom','clean')], + ).astype(self.material.dtype), + size = self.size, + origin = self.origin, + comments = self.comments+[util.execution_stamp('Geom','clean')], ) def renumber(self): """Renumber sorted material indices to 1,...,N.""" - renumbered = np.empty(self.grid,dtype=self.materials.dtype) - for i, oldID in enumerate(np.unique(self.materials)): - renumbered = np.where(self.materials == oldID, i+1, renumbered) + renumbered = np.empty(self.grid,dtype=self.material.dtype) + for i, oldID in enumerate(np.unique(self.material)): + renumbered = np.where(self.material == oldID, i+1, renumbered) - return Geom(materials = renumbered, - size = self.size, - origin = self.origin, - comments = self.comments+[util.execution_stamp('Geom','renumber')], + return Geom(material = renumbered, + size = self.size, + origin = self.origin, + comments = self.comments+[util.execution_stamp('Geom','renumber')], ) @@ -578,32 +580,32 @@ class Geom: R : damask.Rotation Rotation to apply to the geometry. fill : int or float, optional - Material index to fill the corners. Defaults to materials.max() + 1. + Material index to fill the corners. Defaults to material.max() + 1. """ - if fill is None: fill = np.nanmax(self.materials) + 1 - dtype = float if np.isnan(fill) or int(fill) != fill or self.materials.dtype==np.float else int + if fill is None: fill = np.nanmax(self.material) + 1 + dtype = float if np.isnan(fill) or int(fill) != fill or self.material.dtype==np.float else int Eulers = R.as_Eulers(degrees=True) - materials_in = self.materials.copy() + material_in = self.material.copy() # These rotations are always applied in the reference coordinate system, i.e. (z,x,z) not (z,x',z'') # see https://www.cs.utexas.edu/~theshark/courses/cs354/lectures/cs354-14.pdf for angle,axes in zip(Eulers[::-1], [(0,1),(1,2),(0,1)]): - materials_out = ndimage.rotate(materials_in,angle,axes,order=0, + material_out = ndimage.rotate(material_in,angle,axes,order=0, prefilter=False,output=dtype,cval=fill) - if np.prod(materials_in.shape) == np.prod(materials_out.shape): + if np.prod(material_in.shape) == np.prod(material_out.shape): # avoid scipy interpolation errors for rotations close to multiples of 90° - materials_in = np.rot90(materials_in,k=np.rint(angle/90.).astype(int),axes=axes) + material_in = np.rot90(material_in,k=np.rint(angle/90.).astype(int),axes=axes) else: - materials_in = materials_out + material_in = material_out - origin = self.origin-(np.asarray(materials_in.shape)-self.grid)*.5 * self.size/self.grid + origin = self.origin-(np.asarray(material_in.shape)-self.grid)*.5 * self.size/self.grid - return Geom(materials = materials_in, - size = self.size/self.grid*np.asarray(materials_in.shape), - origin = origin, - comments = self.comments+[util.execution_stamp('Geom','rotate')], + return Geom(material = material_in, + size = self.size/self.grid*np.asarray(material_in.shape), + origin = origin, + comments = self.comments+[util.execution_stamp('Geom','rotate')], ) @@ -618,12 +620,12 @@ class Geom: offset : numpy.ndarray of shape (3) Offset (measured in grid points) from old to new geometry [0,0,0]. fill : int or float, optional - Material index to fill the background. Defaults to materials.max() + 1. + Material index to fill the background. Defaults to material.max() + 1. """ if offset is None: offset = 0 - if fill is None: fill = np.nanmax(self.materials) + 1 - dtype = float if int(fill) != fill or self.materials.dtype in np.sctypes['float'] else int + if fill is None: fill = np.nanmax(self.material) + 1 + dtype = float if int(fill) != fill or self.material.dtype in np.sctypes['float'] else int canvas = np.full(self.grid if grid is None else grid,fill,dtype) @@ -632,35 +634,35 @@ class Geom: ll = np.clip(-offset, 0,np.minimum( grid,self.grid-offset)) ur = np.clip(-offset+self.grid,0,np.minimum( grid,self.grid-offset)) - canvas[ll[0]:ur[0],ll[1]:ur[1],ll[2]:ur[2]] = self.materials[LL[0]:UR[0],LL[1]:UR[1],LL[2]:UR[2]] + canvas[ll[0]:ur[0],ll[1]:ur[1],ll[2]:ur[2]] = self.material[LL[0]:UR[0],LL[1]:UR[1],LL[2]:UR[2]] - return Geom(materials = canvas, - size = self.size/self.grid*np.asarray(canvas.shape), - origin = self.origin+offset*self.size/self.grid, - comments = self.comments+[util.execution_stamp('Geom','canvas')], + return Geom(material = canvas, + size = self.size/self.grid*np.asarray(canvas.shape), + origin = self.origin+offset*self.size/self.grid, + comments = self.comments+[util.execution_stamp('Geom','canvas')], ) - def substitute(self,from_materials,to_materials): + def substitute(self,from_material,to_material): """ Substitute material indices. Parameters ---------- - from_materials : iterable of ints + from_material : iterable of ints Material indices to be substituted. - to_materials : iterable of ints + to_material : iterable of ints New material indices. """ - substituted = self.materials.copy() - for from_ms,to_ms in zip(from_materials,to_materials): - substituted[self.materials==from_ms] = to_ms + substituted = self.material.copy() + for from_ms,to_ms in zip(from_material,to_material): + substituted[self.material==from_ms] = to_ms - return Geom(materials = substituted, - size = self.size, - origin = self.origin, - comments = self.comments+[util.execution_stamp('Geom','substitute')], + return Geom(material = substituted, + size = self.size, + origin = self.origin, + comments = self.comments+[util.execution_stamp('Geom','substitute')], ) @@ -679,7 +681,7 @@ class Geom: Defaults to 1. offset : int, optional Offset (positive or negative) to tag material indices, - defaults to materials.max() + 1. + defaults to material.max() + 1. trigger : list of ints, optional List of material indices that trigger a change. Defaults to [], meaning that any different neighbor triggers a change. @@ -698,15 +700,15 @@ class Geom: trigger = list(trigger) return np.any(np.in1d(stencil,np.array(trigger))) - offset_ = np.nanmax(self.materials) if offset is None else offset - mask = ndimage.filters.generic_filter(self.materials, + offset_ = np.nanmax(self.material) if offset is None else offset + mask = ndimage.filters.generic_filter(self.material, tainted_neighborhood, size=1+2*vicinity, mode='wrap' if periodic else 'nearest', extra_keywords={'trigger':trigger}) - return Geom(materials = np.where(mask, self.materials + offset_,self.materials), - size = self.size, - origin = self.origin, - comments = self.comments+[util.execution_stamp('Geom','vicinity_offset')], + return Geom(material = np.where(mask, self.material + offset_,self.material), + size = self.size, + origin = self.origin, + comments = self.comments+[util.execution_stamp('Geom','vicinity_offset')], ) diff --git a/python/tests/test_Geom.py b/python/tests/test_Geom.py index 961d28713..ac4a8eac3 100644 --- a/python/tests/test_Geom.py +++ b/python/tests/test_Geom.py @@ -11,8 +11,8 @@ from damask import util def geom_equal(a,b): - return np.all(a.materials == b.materials) and \ - np.all(a.grid == b.grid) and \ + return np.all(a.material == b.material) and \ + np.all(a.grid == b.grid) and \ np.allclose(a.size, b.size) and \ str(a.diff(b)) == str(b.diff(a)) @@ -38,7 +38,7 @@ class TestGeom: def test_diff_not_equal(self,default): - new = Geom(default.materials[1:,1:,1:]+1,default.size*.9,np.ones(3)-default.origin,comments=['modified']) + new = Geom(default.material[1:,1:,1:]+1,default.size*.9,np.ones(3)-default.origin,comments=['modified']) assert str(default.diff(new)) != '' @@ -93,28 +93,28 @@ class TestGeom: def test_invalid_size(self,default): with pytest.raises(ValueError): - Geom(default.materials[1:,1:,1:], + Geom(default.material[1:,1:,1:], size=np.ones(2)) def test_invalid_origin(self,default): with pytest.raises(ValueError): - Geom(default.materials[1:,1:,1:], + Geom(default.material[1:,1:,1:], size=np.ones(3), origin=np.ones(4)) def test_invalid_materials_shape(self,default): - materials = np.ones((3,3)) + material = np.ones((3,3)) with pytest.raises(ValueError): - Geom(materials, + Geom(material, size=np.ones(3)) def test_invalid_materials_type(self,default): - materials = np.random.randint(1,300,(3,4,5))==1 + material = np.random.randint(1,300,(3,4,5))==1 with pytest.raises(TypeError): - Geom(materials) + Geom(material) @pytest.mark.parametrize('directions,reflect',[ @@ -205,10 +205,10 @@ class TestGeom: def test_renumber(self,default): - materials = default.materials.copy() - for m in np.unique(materials): - materials[materials==m] = materials.max() + np.random.randint(1,30) - modified = Geom(materials, + material = default.material.copy() + for m in np.unique(material): + material[material==m] = material.max() + np.random.randint(1,30) + modified = Geom(material, default.size, default.origin) assert not geom_equal(modified,default) @@ -218,13 +218,13 @@ class TestGeom: def test_substitute(self,default): offset = np.random.randint(1,500) - modified = Geom(default.materials + offset, + modified = Geom(default.material + offset, default.size, default.origin) assert not geom_equal(modified,default) assert geom_equal(default, - modified.substitute(np.arange(default.materials.max())+1+offset, - np.arange(default.materials.max())+1)) + modified.substitute(np.arange(default.material.max())+1+offset, + np.arange(default.material.max())+1)) @pytest.mark.parametrize('axis_angle',[np.array([1,0,0,86.7]), np.array([0,1,0,90.4]), np.array([0,0,1,90]), @@ -251,7 +251,7 @@ class TestGeom: grid = default.grid grid_add = np.random.randint(0,30,(3)) modified = default.canvas(grid + grid_add) - assert np.all(modified.materials[:grid[0],:grid[1],:grid[2]] == default.materials) + assert np.all(modified.material[:grid[0],:grid[1],:grid[2]] == default.material) @pytest.mark.parametrize('center1,center2',[(np.random.random(3)*.5,np.random.random()*8), @@ -271,7 +271,7 @@ class TestGeom: s = np.random.random(3)+.5 G_1 = Geom(np.ones(g,'i'),s,o).add_primitive(diameter,center1,exponent) G_2 = Geom(np.ones(g,'i'),s,o).add_primitive(diameter,center2,exponent) - assert np.count_nonzero(G_1.materials!=2) == np.count_nonzero(G_2.materials!=2) + assert np.count_nonzero(G_1.material!=2) == np.count_nonzero(G_2.material!=2) @pytest.mark.parametrize('center',[np.random.randint(4,10,(3)), @@ -308,14 +308,14 @@ class TestGeom: geom = Geom(m,np.random.rand(3)).vicinity_offset(vicinity,offset,trigger=trigger) - assert np.all(m2==geom.materials) + assert np.all(m2==geom.material) @pytest.mark.parametrize('periodic',[True,False]) def test_vicinity_offset_invariant(self,default,periodic): - offset = default.vicinity_offset(trigger=[default.materials.max()+1, - default.materials.min()-1]) - assert np.all(offset.materials==default.materials) + offset = default.vicinity_offset(trigger=[default.material.max()+1, + default.material.min()-1]) + assert np.all(offset.material==default.material) @pytest.mark.parametrize('periodic',[True,False]) @@ -338,7 +338,7 @@ class TestGeom: ms = np.random.randint(1, N_seeds+1) weights[ms-1] = np.random.random() Laguerre = Geom.from_Laguerre_tessellation(grid,size,seeds,weights,np.random.random()>0.5) - assert np.all(Laguerre.materials == ms) + assert np.all(Laguerre.material == ms) @pytest.mark.parametrize('approach',['Laguerre','Voronoi']) @@ -346,10 +346,10 @@ class TestGeom: grid = np.random.randint(5,10,3)*2 size = grid.astype(np.float) seeds = np.vstack((size*np.array([0.5,0.25,0.5]),size*np.array([0.5,0.75,0.5]))) - materials = np.ones(grid) - materials[:,grid[1]//2:,:] = 2 + material = np.ones(grid) + material[:,grid[1]//2:,:] = 2 if approach == 'Laguerre': geom = Geom.from_Laguerre_tessellation(grid,size,seeds,np.ones(2),np.random.random()>0.5) elif approach == 'Voronoi': geom = Geom.from_Voronoi_tessellation(grid,size,seeds, np.random.random()>0.5) - assert np.all(geom.materials == materials) + assert np.all(geom.material == material) From fd70a038455a8ca12d7fa9c0396f27411c134caf Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Thu, 24 Sep 2020 06:59:48 +0200 Subject: [PATCH 036/103] test with consistent name 'material' --- PRIVATE | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/PRIVATE b/PRIVATE index b48fdd1f1..45fc8ce40 160000 --- a/PRIVATE +++ b/PRIVATE @@ -1 +1 @@ -Subproject commit b48fdd1f167ed22ae9deabe44ae31c73ff5a6c1d +Subproject commit 45fc8ce405de938e3ee17958a504cfa1820a7ed7 From e6ae5c9b6d9263e3fe440e227b1fe81d9ee9fe81 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Thu, 24 Sep 2020 08:14:14 +0200 Subject: [PATCH 037/103] failed test due to missing rename --- PRIVATE | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/PRIVATE b/PRIVATE index 45fc8ce40..2550bf655 160000 --- a/PRIVATE +++ b/PRIVATE @@ -1 +1 @@ -Subproject commit 45fc8ce405de938e3ee17958a504cfa1820a7ed7 +Subproject commit 2550bf655aebe61ce459718323ba38b1ac205a7f From 0f64954300684b96646ffbce2fc7287fbc8718f8 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Thu, 24 Sep 2020 09:36:19 +0200 Subject: [PATCH 038/103] whitespace adjustment --- src/grid/discretization_grid.f90 | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/src/grid/discretization_grid.f90 b/src/grid/discretization_grid.f90 index 09b3774aa..b226c3d0e 100644 --- a/src/grid/discretization_grid.f90 +++ b/src/grid/discretization_grid.f90 @@ -415,8 +415,8 @@ subroutine readVTR(grid,geomSize,origin,material) if(.not. allocated(material)) call IO_error(error_ID = 844, ext_msg='material data not found') if(size(material) /= product(grid)) call IO_error(error_ID = 844, ext_msg='size(material)') - if(any(geomSize<=0)) call IO_error(error_ID = 844, ext_msg='size') - if(any(grid<1)) call IO_error(error_ID = 844, ext_msg='grid') + if(any(geomSize<=0)) call IO_error(error_ID = 844, ext_msg='size') + if(any(grid<1)) call IO_error(error_ID = 844, ext_msg='grid') contains From 6e98406fe86ab0a8ffb1223d9df12826ab9b2f68 Mon Sep 17 00:00:00 2001 From: Sharan Roongta Date: Thu, 24 Sep 2020 13:13:06 +0200 Subject: [PATCH 039/103] merged with master --- PRIVATE | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/PRIVATE b/PRIVATE index f7b371f12..b6bb155f7 160000 --- a/PRIVATE +++ b/PRIVATE @@ -1 +1 @@ -Subproject commit f7b371f12950398b61b1ab41fe126c6045e4e686 +Subproject commit b6bb155f78b09c640a8988738e23d0aab184ccc2 From 2b9607b4c8f05ac6e2064cfb44a709e52cd0dc38 Mon Sep 17 00:00:00 2001 From: Test User Date: Thu, 24 Sep 2020 13:20:50 +0200 Subject: [PATCH 040/103] [skip ci] updated version information after successful test of v3.0.0-alpha-321-g0f6495430 --- VERSION | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/VERSION b/VERSION index 75b7b823b..a8cc04d22 100644 --- a/VERSION +++ b/VERSION @@ -1 +1 @@ -v3.0.0-alpha-292-g14bfaa60c +v3.0.0-alpha-321-g0f6495430 From 0746127634d05d7c96026e6bdb73a719529dc25b Mon Sep 17 00:00:00 2001 From: Sharan Roongta Date: Thu, 24 Sep 2020 14:29:38 +0200 Subject: [PATCH 041/103] names updated in pytest --- PRIVATE | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/PRIVATE b/PRIVATE index b6bb155f7..dc0e046b2 160000 --- a/PRIVATE +++ b/PRIVATE @@ -1 +1 @@ -Subproject commit b6bb155f78b09c640a8988738e23d0aab184ccc2 +Subproject commit dc0e046b2bcaaa5da507e2d075a8336aacf6c96a From 79d672f4a77f53b9f1cb5d632daa7efc3a567a2e Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Thu, 24 Sep 2020 17:04:06 +0200 Subject: [PATCH 042/103] cleaning --- src/grid/DAMASK_grid.f90 | 4 ++-- src/grid/grid_mech_FEM.f90 | 1 - 2 files changed, 2 insertions(+), 3 deletions(-) diff --git a/src/grid/DAMASK_grid.f90 b/src/grid/DAMASK_grid.f90 index f0589c3d7..ac30d487d 100644 --- a/src/grid/DAMASK_grid.f90 +++ b/src/grid/DAMASK_grid.f90 @@ -211,7 +211,7 @@ program DAMASK_grid if (temp_maskVector(j)) temp_valueVector(j) = IO_floatValue(line,chunkPos,i+j) ! read value where applicable enddo newLoadCase%deformation%mask = transpose(reshape(temp_maskVector,[ 3,3])) ! mask in 3x3 notation - newLoadCase%deformation%values = math_9to33(temp_valueVector) ! values in 3x3 notation + newLoadCase%deformation%values = math_9to33(temp_valueVector) ! values in 3x3 notation case('p','stress', 's') temp_valueVector = 0.0_pReal do j = 1, 9 @@ -219,7 +219,7 @@ program DAMASK_grid if (temp_maskVector(j)) temp_valueVector(j) = IO_floatValue(line,chunkPos,i+j) ! read value where applicable enddo newLoadCase%stress%mask = transpose(reshape(temp_maskVector,[ 3,3])) - newLoadCase%stress%values = math_9to33(temp_valueVector) + newLoadCase%stress%values = math_9to33(temp_valueVector) case('t','time','delta') ! increment time newLoadCase%time = IO_floatValue(line,chunkPos,i+1) case('n','incs','increments') ! number of increments diff --git a/src/grid/grid_mech_FEM.f90 b/src/grid/grid_mech_FEM.f90 index 0fd7315a4..b680dafa9 100644 --- a/src/grid/grid_mech_FEM.f90 +++ b/src/grid/grid_mech_FEM.f90 @@ -62,7 +62,6 @@ module grid_mech_FEM real(pReal), dimension(3,3) :: & F_aimDot = 0.0_pReal, & !< assumed rate of average deformation gradient F_aim = math_I3, & !< current prescribed deformation gradient - F_aim_lastIter = math_I3, & F_aim_lastInc = math_I3, & !< previous average deformation gradient P_av = 0.0_pReal, & !< average 1st Piola--Kirchhoff stress P_aim = 0.0_pReal From 792e5045b8959476ee9b63694de0bca3ca3b0261 Mon Sep 17 00:00:00 2001 From: Philip Eisenlohr Date: Thu, 24 Sep 2020 19:05:10 +0200 Subject: [PATCH 043/103] fixed grid size assignments for MPI layers --- src/grid/discretization_grid.f90 | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/src/grid/discretization_grid.f90 b/src/grid/discretization_grid.f90 index b226c3d0e..27df0acd5 100644 --- a/src/grid/discretization_grid.f90 +++ b/src/grid/discretization_grid.f90 @@ -107,9 +107,9 @@ subroutine discretization_grid_init(restart) call discretization_init(materialAt, & IPcoordinates0(myGrid,mySize,grid3Offset), & Nodes0(myGrid,mySize,grid3Offset),& - merge((grid(1)+1) * (grid(2)+1) * (grid3+1),& ! write bottom layer - (grid(1)+1) * (grid(2)+1) * grid3,& ! do not write bottom layer (is top of rank-1) - worldrank<1)) + merge((grid(1)+1) * (grid(2)+1) * (grid3+1),& ! write top layer... + (grid(1)+1) * (grid(2)+1) * grid3,& ! ...unless not last process + worldrank+1==worldsize)) FEsolving_execElem = [1,product(myGrid)] ! parallel loop bounds set to comprise all elements FEsolving_execIP = [1,1] ! parallel loop bounds set to comprise the only IP From 28cded366962a7d57e01df912b19881fed7f1f9f Mon Sep 17 00:00:00 2001 From: Philip Eisenlohr Date: Thu, 24 Sep 2020 13:12:37 -0400 Subject: [PATCH 044/103] fixed "paralell" bug in PRIVATE --- PRIVATE | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/PRIVATE b/PRIVATE index 2550bf655..b73dcfe74 160000 --- a/PRIVATE +++ b/PRIVATE @@ -1 +1 @@ -Subproject commit 2550bf655aebe61ce459718323ba38b1ac205a7f +Subproject commit b73dcfe746eadce92ed0ab08a3bfbb19f5c8eb0a From ec23ab8b6105c1b79f045c499394967ecdf4bc22 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Thu, 24 Sep 2020 21:06:26 +0200 Subject: [PATCH 045/103] basic test for seeding --- python/tests/test_seeds.py | 23 +++++++++++++++++++++++ 1 file changed, 23 insertions(+) create mode 100644 python/tests/test_seeds.py diff --git a/python/tests/test_seeds.py b/python/tests/test_seeds.py new file mode 100644 index 000000000..57631ccba --- /dev/null +++ b/python/tests/test_seeds.py @@ -0,0 +1,23 @@ +import pytest +import numpy as np +from scipy.spatial import cKDTree + +from damask import seeds + +class TestSeeds: + + @pytest.mark.parametrize('grid',[None,np.ones(3,dtype='i')*10]) + def test_from_random(self,grid): + N_seeds = np.random.randint(30,300) + size = np.ones(3) + np.random.random(3) + coords = seeds.from_random(size,N_seeds,grid) + assert (0<=coords).all() and (coords=distance From e5b414419a4557125eedcbc1ef02311152106ff9 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Thu, 24 Sep 2020 21:26:16 +0200 Subject: [PATCH 046/103] Poisson disc for periodic situation --- python/damask/seeds.py | 21 ++++++++++++--------- python/tests/test_seeds.py | 8 +++++--- 2 files changed, 17 insertions(+), 12 deletions(-) diff --git a/python/damask/seeds.py b/python/damask/seeds.py index 10d247859..76c0bbb26 100644 --- a/python/damask/seeds.py +++ b/python/damask/seeds.py @@ -8,7 +8,7 @@ from . import grid_filters def from_random(size,N_seeds,grid=None,seed=None): """ Random seeding in space. - + Parameters ---------- size : numpy.ndarray of shape (3) @@ -21,7 +21,7 @@ def from_random(size,N_seeds,grid=None,seed=None): seed : {None, int, array_like[ints], SeedSequence, BitGenerator, Generator}, optional A seed to initialize the BitGenerator. Defaults to None. If None, then fresh, unpredictable entropy will be pulled from the OS. - + """ rng = _np.random.default_rng(seed) if grid is None: @@ -31,13 +31,13 @@ def from_random(size,N_seeds,grid=None,seed=None): coords = grid_coords[rng.choice(_np.prod(grid),N_seeds, replace=False)] \ + _np.broadcast_to(size/grid,(N_seeds,3))*(rng.random((N_seeds,3))*.5-.25) # wobble without leaving grid - coords + return coords -def from_Poisson_disc(size,N_seeds,N_candidates,distance,seed=None): +def from_Poisson_disc(size,N_seeds,N_candidates,distance,periodic=True,seed=None): """ Seeding in space according to a Poisson disc distribution. - + Parameters ---------- size : numpy.ndarray of shape (3) @@ -48,10 +48,12 @@ def from_Poisson_disc(size,N_seeds,N_candidates,distance,seed=None): Number of candidates to consider for finding best candidate. distance : float Minimum acceptable distance to other seeds. + periodic : boolean, optional + Calculate minimum distance for periodically repeated grid. seed : {None, int, array_like[ints], SeedSequence, BitGenerator, Generator}, optional A seed to initialize the BitGenerator. Defaults to None. If None, then fresh, unpredictable entropy will be pulled from the OS. - + """ rng = _np.random.default_rng(seed) coords = _np.empty((N_seeds,3)) @@ -61,7 +63,8 @@ def from_Poisson_disc(size,N_seeds,N_candidates,distance,seed=None): progress = util._ProgressBar(N_seeds+1,'',50) while i < N_seeds: candidates = rng.random((N_candidates,3))*_np.broadcast_to(size,(N_candidates,3)) - tree = _spatial.cKDTree(coords[:i]) + tree = _spatial.cKDTree(coords[:i],boxsize=size) if periodic else \ + _spatial.cKDTree(coords[:i]) distances, dev_null = tree.query(candidates) best = distances.argmax() if distances[best] > distance: # require minimum separation @@ -75,12 +78,12 @@ def from_Poisson_disc(size,N_seeds,N_candidates,distance,seed=None): def from_geom(geom,selection=None,invert=False): """ Create seed from existing geometry description. - + Parameters ---------- geom : damask.Geom ... - + """ material = geom.materials.reshape((-1,1),order='F') mask = _np.full(geom.grid.prod(),True,dtype=bool) if selection is None else \ diff --git a/python/tests/test_seeds.py b/python/tests/test_seeds.py index 57631ccba..55b659ad1 100644 --- a/python/tests/test_seeds.py +++ b/python/tests/test_seeds.py @@ -13,11 +13,13 @@ class TestSeeds: coords = seeds.from_random(size,N_seeds,grid) assert (0<=coords).all() and (coords=distance From 4960cf43d4f69e9f9387f21508580c8178425259 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Thu, 24 Sep 2020 21:43:04 +0200 Subject: [PATCH 047/103] documented and tested --- python/damask/seeds.py | 8 ++++++-- python/tests/test_seeds.py | 11 +++++++++++ 2 files changed, 17 insertions(+), 2 deletions(-) diff --git a/python/damask/seeds.py b/python/damask/seeds.py index 76c0bbb26..46be722cd 100644 --- a/python/damask/seeds.py +++ b/python/damask/seeds.py @@ -82,10 +82,14 @@ def from_geom(geom,selection=None,invert=False): Parameters ---------- geom : damask.Geom - ... + Geometry, from which the material IDs are used as seeds + selection : iterable of integers, optional + Material IDs to consider + invert : boolean, false + Do not consider the material IDs given in selection. Defaults to False. """ - material = geom.materials.reshape((-1,1),order='F') + material = geom.material.reshape((-1,1),order='F') mask = _np.full(geom.grid.prod(),True,dtype=bool) if selection is None else \ _np.isin(material,selection,invert=invert) coords = grid_filters.cell_coord0(geom.grid,geom.size).reshape(-1,3,order='F') diff --git a/python/tests/test_seeds.py b/python/tests/test_seeds.py index 55b659ad1..49d9a6bfd 100644 --- a/python/tests/test_seeds.py +++ b/python/tests/test_seeds.py @@ -3,6 +3,7 @@ import numpy as np from scipy.spatial import cKDTree from damask import seeds +from damask import Geom class TestSeeds: @@ -23,3 +24,13 @@ class TestSeeds: min_dists, _ = cKDTree(coords,boxsize=size).query(coords, 2) if periodic else \ cKDTree(coords).query(coords, 2) assert (0<= coords).all() and (coords=distance + + def test_from_geom(self): + grid = np.random.randint(10,20,3) + N_seeds = np.random.randint(30,300) + size = np.ones(3) + np.random.random(3) + coords = seeds.from_random(size,N_seeds,grid) + geom_1 = Geom.from_Voronoi_tessellation(grid,size,coords) + coords,material = seeds.from_geom(geom_1) + geom_2 = Geom.from_Voronoi_tessellation(grid,size,coords,material) + assert (geom_2.material==geom_1.material).all() From 3ec3ba255ed9eb8fc145adb27dc8d50a479c9de3 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Thu, 24 Sep 2020 22:00:23 +0200 Subject: [PATCH 048/103] need to have the correct mpirun in path --- .gitlab-ci.yml | 1 + 1 file changed, 1 insertion(+) diff --git a/.gitlab-ci.yml b/.gitlab-ci.yml index bb4a2e7a0..40662cb40 100644 --- a/.gitlab-ci.yml +++ b/.gitlab-ci.yml @@ -344,6 +344,7 @@ Phenopowerlaw_singleSlip: Pytest_grid: stage: grid script: + - module load $IntelCompiler $MPICH_Intel $PETSc_MPICH_Intel - cd pytest - pytest except: From e8454c40c7449eb547784161d774d12b97dd357b Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Thu, 24 Sep 2020 22:59:31 +0200 Subject: [PATCH 049/103] more tests --- python/tests/test_Geom.py | 11 +++++++++-- 1 file changed, 9 insertions(+), 2 deletions(-) diff --git a/python/tests/test_Geom.py b/python/tests/test_Geom.py index a91365727..9aff60186 100644 --- a/python/tests/test_Geom.py +++ b/python/tests/test_Geom.py @@ -83,6 +83,13 @@ class TestGeom: with pytest.raises(ValueError): Geom.load(tmpdir/'no_materialpoint.vtr') + def test_invalid_material(self): + with pytest.raises(TypeError): + Geom(np.zeros((3,3,3),dtype='complex'),np.ones(3)) + + def test_cast_to_int(self): + g = Geom(np.zeros((3,3,3)),np.ones(3)) + assert g.material.dtype in np.sctypes['int'] @pytest.mark.parametrize('compress',[True,False]) def test_compress(self,default,tmpdir,compress): @@ -324,8 +331,8 @@ class TestGeom: size = np.random.random(3) + 1.0 N_seeds= np.random.randint(10,30) seeds = np.random.rand(N_seeds,3) * np.broadcast_to(size,(N_seeds,3)) - Voronoi = Geom.from_Voronoi_tessellation( grid,size,seeds, periodic=periodic) - Laguerre = Geom.from_Laguerre_tessellation(grid,size,seeds,np.ones(N_seeds),periodic=periodic) + Voronoi = Geom.from_Voronoi_tessellation( grid,size,seeds, np.arange(N_seeds)+5,periodic) + Laguerre = Geom.from_Laguerre_tessellation(grid,size,seeds,np.ones(N_seeds),np.arange(N_seeds)+5,periodic) assert geom_equal(Laguerre,Voronoi) From e58cc4bfa0433436cb7c729387596ea10d5615b9 Mon Sep 17 00:00:00 2001 From: Philip Eisenlohr Date: Thu, 24 Sep 2020 21:59:48 -0400 Subject: [PATCH 050/103] removed substitute call for direct mapping; added seed from averaging of material ID cloud --- python/damask/_geom.py | 14 ++------------ python/damask/seeds.py | 28 ++++++++++++++++++++++------ 2 files changed, 24 insertions(+), 18 deletions(-) diff --git a/python/damask/_geom.py b/python/damask/_geom.py index 55569ac14..50d4e2b33 100644 --- a/python/damask/_geom.py +++ b/python/damask/_geom.py @@ -256,15 +256,10 @@ class Geom: else: material_ = material_.reshape(grid) - geom = Geom(material = material_+1, + return Geom(material = material_+1 if material is None else material[material_], size = size, comments = util.execution_stamp('Geom','from_Laguerre_tessellation'), ) - if material is not None: - geom = geom.substitute(np.arange(seeds.shape[0])+1,material) - geom.comments = geom.comments[:-1] - - return geom @staticmethod @@ -291,15 +286,10 @@ class Geom: KDTree = spatial.cKDTree(seeds,boxsize=size) if periodic else spatial.cKDTree(seeds) devNull,material_ = KDTree.query(coords) - geom = Geom(material = material_.reshape(grid)+1, + return Geom(material = (material_+1 if material is None else material[material_]).reshape(grid), size = size, comments = util.execution_stamp('Geom','from_Voronoi_tessellation'), ) - if material is not None: - geom = geom.substitute(np.arange(seeds.shape[0])+1,material) - geom.comments = geom.comments[:-1] - - return geom def save_ASCII(self,fname,compress=None): diff --git a/python/damask/seeds.py b/python/damask/seeds.py index 46be722cd..ea40794da 100644 --- a/python/damask/seeds.py +++ b/python/damask/seeds.py @@ -12,7 +12,7 @@ def from_random(size,N_seeds,grid=None,seed=None): Parameters ---------- size : numpy.ndarray of shape (3) - Physical size of the periodic field. + Physical size of the seeding domain. N_seeds : int Number of seeds. grid : numpy.ndarray of shape (3), optional. @@ -41,7 +41,7 @@ def from_Poisson_disc(size,N_seeds,N_candidates,distance,periodic=True,seed=None Parameters ---------- size : numpy.ndarray of shape (3) - Physical size of the periodic field. + Physical size of the seeding domain. N_seeds : int Number of seeds. N_candidates : int @@ -75,18 +75,22 @@ def from_Poisson_disc(size,N_seeds,N_candidates,distance,periodic=True,seed=None return coords -def from_geom(geom,selection=None,invert=False): +def from_geom(geom,selection=None,invert=False,average=False,periodic=True): """ Create seed from existing geometry description. Parameters ---------- geom : damask.Geom - Geometry, from which the material IDs are used as seeds + Geometry, from which the material IDs are used as seeds. selection : iterable of integers, optional - Material IDs to consider + Material IDs to consider. invert : boolean, false Do not consider the material IDs given in selection. Defaults to False. + average : boolean, optional + Seed corresponds to center of gravity of material ID cloud. + periodic : boolean, optional + Center of gravity with periodic boundaries. """ material = geom.material.reshape((-1,1),order='F') @@ -94,4 +98,16 @@ def from_geom(geom,selection=None,invert=False): _np.isin(material,selection,invert=invert) coords = grid_filters.cell_coord0(geom.grid,geom.size).reshape(-1,3,order='F') - return (coords[mask],material[mask]) + if not average: + return (coords[mask],material[mask]) + else: + materials = _np.unique(material[mask]) + coords_ = _np.zeros((materials.size,3),dtype=float) + for i,mat in enumerate(materials): + pc = (2*_np.pi*coords[material[:,0]==mat,:]-geom.origin)/geom.size + coords_[i] = geom.origin + geom.size / 2 / _np.pi * (_np.pi + + _np.arctan2(-_np.average(_np.sin(pc),axis=0), + -_np.average(_np.cos(pc),axis=0))) \ + if periodic else \ + _np.average(coords[material[:,0]==mat,:],axis=0) + return (coords_,materials) From 7dc8391c03d42425a806a51e22b6d8a18a104539 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Fri, 25 Sep 2020 07:40:12 +0200 Subject: [PATCH 051/103] not needed anymore --- .gitlab-ci.yml | 37 -- PRIVATE | 2 +- processing/{post => legacy}/vtk2ang.py | 0 processing/post/filterTable.py | 161 -------- .../pre/geom_fromVoronoiTessellation.py | 226 ------------ processing/pre/hybridIA_linODFsampling.py | 349 ------------------ processing/pre/seeds_fromGeom.py | 68 ---- processing/pre/seeds_fromRandom.py | 165 --------- 8 files changed, 1 insertion(+), 1007 deletions(-) rename processing/{post => legacy}/vtk2ang.py (100%) delete mode 100755 processing/post/filterTable.py delete mode 100755 processing/pre/geom_fromVoronoiTessellation.py delete mode 100755 processing/pre/hybridIA_linODFsampling.py delete mode 100755 processing/pre/seeds_fromGeom.py delete mode 100755 processing/pre/seeds_fromRandom.py diff --git a/.gitlab-ci.yml b/.gitlab-ci.yml index 40662cb40..054e18ae2 100644 --- a/.gitlab-ci.yml +++ b/.gitlab-ci.yml @@ -253,27 +253,6 @@ grid_parsingArguments: - master - release -StateIntegration_compareVariants: - stage: grid - script: StateIntegration_compareVariants/test.py - except: - - master - - release - -nonlocal_densityConservation: - stage: grid - script: nonlocal_densityConservation/test.py - except: - - master - - release - -RGC_DetectChanges: - stage: grid - script: RGC_DetectChanges/test.py - except: - - master - - release - Nonlocal_Damage_DetectChanges: stage: grid script: Nonlocal_Damage_DetectChanges/test.py @@ -302,15 +281,6 @@ grid_all_loadCaseRotation: - master - release -grid_mech_MPI: - stage: grid - script: - - module load $IntelCompiler $MPICH_Intel $PETSc_MPICH_Intel - - grid_mech_MPI/test.py - except: - - master - - release - grid_all_restartMPI: stage: grid script: @@ -327,13 +297,6 @@ Plasticity_DetectChanges: - master - release -Homogenization: - stage: grid - script: Homogenization/test.py - except: - - master - - release - Phenopowerlaw_singleSlip: stage: grid script: Phenopowerlaw_singleSlip/test.py diff --git a/PRIVATE b/PRIVATE index b73dcfe74..b7c6e3a67 160000 --- a/PRIVATE +++ b/PRIVATE @@ -1 +1 @@ -Subproject commit b73dcfe746eadce92ed0ab08a3bfbb19f5c8eb0a +Subproject commit b7c6e3a6742b6098530a6fa5121b23ec9487dd4f diff --git a/processing/post/vtk2ang.py b/processing/legacy/vtk2ang.py similarity index 100% rename from processing/post/vtk2ang.py rename to processing/legacy/vtk2ang.py diff --git a/processing/post/filterTable.py b/processing/post/filterTable.py deleted file mode 100755 index 4f4af088b..000000000 --- a/processing/post/filterTable.py +++ /dev/null @@ -1,161 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from optparse import OptionParser -import re -import fnmatch -import math # noqa - -import numpy as np - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - -def sortingList(labels,whitelistitems): - - indices = [] - names = [] - - for label in labels: - if re.match(r'^\d+_',label): - indices.append(int(label.split('_',1)[0])) - names.append(label.split('_',1)[1]) - else: - indices.append(0) - names.append(label) - - return [indices,names,whitelistitems] - - -# -------------------------------------------------------------------- -# MAIN -# -------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options [ASCIItable(s)]', description = """ -Filter rows according to condition and columns by either white or black listing. - -Examples: -Every odd row if x coordinate is positive -- " #ip.x# >= 0.0 and #_row_#%2 == 1 ). -All rows where label 'foo' equals 'bar' -- " #s#foo# == 'bar' " - -""", version = scriptID) - -parser.add_option('-w','--white', - dest = 'whitelist', - action = 'extend', metavar = '', - help = 'whitelist of column labels (a,b,c,...)') -parser.add_option('-b','--black', - dest = 'blacklist', - action = 'extend', metavar='', - help = 'blacklist of column labels (a,b,c,...)') -parser.add_option('-c','--condition', - dest = 'condition', metavar='string', - help = 'condition to filter rows') - -parser.set_defaults(condition = None, - ) - -(options,filenames) = parser.parse_args() - -# --- loop over input files ------------------------------------------------------------------------- - -if filenames == []: filenames = [None] - -for name in filenames: - try: - table = damask.ASCIItable(name = name) - except IOError: - continue - damask.util.report(scriptName,name) - -# ------------------------------------------ assemble info --------------------------------------- - - table.head_read() - -# ------------------------------------------ process data --------------------------------------- - - specials = { \ - '_row_': 0, - } - labels = [] - positions = [] - - for position,label in enumerate(table.labels(raw = True)): - if (options.whitelist is None or any([ position in table.label_indexrange(needle) \ - or fnmatch.fnmatch(label,needle) for needle in options.whitelist])) \ - and (options.blacklist is None or not any([ position in table.label_indexrange(needle) \ - or fnmatch.fnmatch(label,needle) for needle in options.blacklist])): # a label to keep? - labels.append(label) # remember name... - positions.append(position) # ...and position - - if len(labels) > 0 and options.whitelist is not None and options.blacklist is None: # check whether reordering is possible - whitelistitem = np.zeros(len(labels),dtype=int) - for i,label in enumerate(labels): # check each selected label - match = [ positions[i] in table.label_indexrange(needle) \ - or fnmatch.fnmatch(label,needle) for needle in options.whitelist] # which whitelist items do match it - whitelistitem[i] = match.index(True) if np.sum(match) == 1 else -1 # unique match to a whitelist item --> store which - - order = range(len(labels)) if np.any(whitelistitem < 0) \ - else np.lexsort(sortingList(labels,whitelistitem)) # reorder if unique, i.e. no "-1" in whitelistitem - else: - order = range(len(labels)) # maintain original order of labels - -# --------------------------------------- evaluate condition --------------------------------------- - if options.condition is not None: - condition = options.condition # copy per file, since might be altered inline - breaker = False - - for position,(all,marker,column) in enumerate(set(re.findall(r'#(([s]#)?(.+?))#',condition))): # find three groups - idx = table.label_index(column) - dim = table.label_dimension(column) - if idx < 0 and column not in specials: - damask.util.croak('column "{}" not found.'.format(column)) - breaker = True - else: - if column in specials: - replacement = 'specials["{}"]'.format(column) - elif dim == 1: # scalar input - replacement = '{}(table.data[{}])'.format({ '':'float', - 's#':'str'}[marker],idx) # take float or string value of data column - elif dim > 1: # multidimensional input (vector, tensor, etc.) - replacement = 'np.array(table.data[{}:{}],dtype=float)'.format(idx,idx+dim) # use (flat) array representation - - condition = condition.replace('#'+all+'#',replacement) - - if breaker: continue # found mistake in condition evaluation --> next file - -# ------------------------------------------ assemble header --------------------------------------- - - table.info_append(scriptID + '\t' + ' '.join(sys.argv[1:])) - table.labels_clear() - table.labels_append(np.array(labels)[order]) # update with new label set - table.head_write() - -# ------------------------------------------ process and output data ------------------------------------------ - - positions = np.array(positions)[order] - - atOnce = options.condition is None - if atOnce: # read full array and filter columns - try: - table.data_readArray(positions+1) # read desired columns (indexed 1,...) - table.data_writeArray() # directly write out - except Exception: - table.data_rewind() - atOnce = False # data contains items that prevent array chunking - - if not atOnce: # read data line by line - outputAlive = True - while outputAlive and table.data_read(): # read next data line of ASCII table - specials['_row_'] += 1 # count row - if options.condition is None or eval(condition): # valid row ? - table.data = [table.data[position] for position in positions] # retain filtered columns - outputAlive = table.data_write() # output processed line - -# ------------------------------------------ finalize output ----------------------------------------- - - table.close() # close input ASCII table (works for stdin) diff --git a/processing/pre/geom_fromVoronoiTessellation.py b/processing/pre/geom_fromVoronoiTessellation.py deleted file mode 100755 index aee79cc05..000000000 --- a/processing/pre/geom_fromVoronoiTessellation.py +++ /dev/null @@ -1,226 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -import multiprocessing -from io import StringIO -from functools import partial -from optparse import OptionParser,OptionGroup - -import numpy as np -from scipy import spatial - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - - -def findClosestSeed(seeds, weights, point): - return np.argmin(np.sum((np.broadcast_to(point,(len(seeds),3))-seeds)**2,axis=1) - weights) - - -def Laguerre_tessellation(grid, size, seeds, weights, origin = np.zeros(3), periodic = True, cpus = 2): - - if periodic: - weights_p = np.tile(weights.squeeze(),27) # Laguerre weights (1,2,3,1,2,3,...,1,2,3) - seeds_p = np.vstack((seeds -np.array([size[0],0.,0.]),seeds, seeds +np.array([size[0],0.,0.]))) - seeds_p = np.vstack((seeds_p-np.array([0.,size[1],0.]),seeds_p,seeds_p+np.array([0.,size[1],0.]))) - seeds_p = np.vstack((seeds_p-np.array([0.,0.,size[2]]),seeds_p,seeds_p+np.array([0.,0.,size[2]]))) - coords = damask.grid_filters.cell_coord0(grid*3,size*3,-origin-size).reshape(-1,3) - else: - weights_p = weights.squeeze() - seeds_p = seeds - coords = damask.grid_filters.cell_coord0(grid,size,-origin).reshape(-1,3) - - if cpus > 1: - pool = multiprocessing.Pool(processes = cpus) - result = pool.map_async(partial(findClosestSeed,seeds_p,weights_p), [coord for coord in coords]) - pool.close() - pool.join() - closest_seed = np.array(result.get()).reshape(-1,3) - else: - closest_seed= np.array([findClosestSeed(seeds_p,weights_p,coord) for coord in coords]) - - if periodic: - closest_seed = closest_seed.reshape(grid*3) - return closest_seed[grid[0]:grid[0]*2,grid[1]:grid[1]*2,grid[2]:grid[2]*2]%seeds.shape[0] - else: - return closest_seed - - -def Voronoi_tessellation(grid, size, seeds, origin = np.zeros(3), periodic = True): - - coords = damask.grid_filters.cell_coord0(grid,size,-origin).reshape(-1,3) - KDTree = spatial.cKDTree(seeds,boxsize=size) if periodic else spatial.cKDTree(seeds) - devNull,closest_seed = KDTree.query(coords) - - return closest_seed - - -# -------------------------------------------------------------------- -# MAIN -# -------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog option(s) [seedfile(s)]', description = """ -Generate geometry description and material configuration by tessellation of given seeds file. - -""", version = scriptID) - - -group = OptionGroup(parser, "Tessellation","") - -group.add_option('-l', - '--laguerre', - dest = 'laguerre', - action = 'store_true', - help = 'use Laguerre (weighted Voronoi) tessellation') -group.add_option('--cpus', - dest = 'cpus', - type = 'int', metavar = 'int', - help = 'number of parallel processes to use for Laguerre tessellation [%default]') -group.add_option('--nonperiodic', - dest = 'periodic', - action = 'store_false', - help = 'nonperiodic tessellation') - -parser.add_option_group(group) - -group = OptionGroup(parser, "Geometry","") - -group.add_option('-g', - '--grid', - dest = 'grid', - type = 'int', nargs = 3, metavar = ' '.join(['int']*3), - help = 'a,b,c grid of hexahedral box') -group.add_option('-s', - '--size', - dest = 'size', - type = 'float', nargs = 3, metavar=' '.join(['float']*3), - help = 'x,y,z size of hexahedral box [1.0 1.0 1.0]') -group.add_option('-o', - '--origin', - dest = 'origin', - type = 'float', nargs = 3, metavar=' '.join(['float']*3), - help = 'origin of grid [0.0 0.0 0.0]') - -parser.add_option_group(group) - -group = OptionGroup(parser, "Seeds","") - -group.add_option('-p', - '--pos', '--seedposition', - dest = 'pos', - type = 'string', metavar = 'string', - help = 'label of coordinates [%default]') -group.add_option('-w', - '--weight', - dest = 'weight', - type = 'string', metavar = 'string', - help = 'label of weights [%default]') -group.add_option('-m', - '--microstructure', - dest = 'microstructure', - type = 'string', metavar = 'string', - help = 'label of microstructures [%default]') -group.add_option('-e', - '--eulers', - dest = 'eulers', - type = 'string', metavar = 'string', - help = 'label of Euler angles [%default]') -group.add_option('--axes', - dest = 'axes', - type = 'string', nargs = 3, metavar = ' '.join(['string']*3), - help = 'orientation coordinate frame in terms of position coordinate frame') - -parser.add_option_group(group) - -group = OptionGroup(parser, "Configuration","") - -group.add_option('--without-config', - dest = 'config', - action = 'store_false', - help = 'omit material configuration header') -group.add_option('--phase', - dest = 'phase', - type = 'int', metavar = 'int', - help = 'phase index to be used [%default]') - -parser.add_option_group(group) - -parser.set_defaults(pos = 'pos', - weight = 'weight', - microstructure = 'microstructure', - eulers = 'euler', - phase = 1, - cpus = 2, - laguerre = False, - periodic = True, - config = True, - ) - -(options,filenames) = parser.parse_args() -if filenames == []: filenames = [None] - -for name in filenames: - damask.util.report(scriptName,name) - - table = damask.Table.load(StringIO(''.join(sys.stdin.read())) if name is None else name) - - size = np.ones(3) - origin = np.zeros(3) - for line in table.comments: - items = line.lower().strip().split() - key = items[0] if items else '' - if key == 'grid': - grid = np.array([ int(dict(zip(items[1::2],items[2::2]))[i]) for i in ['a','b','c']]) - elif key == 'size': - size = np.array([float(dict(zip(items[1::2],items[2::2]))[i]) for i in ['x','y','z']]) - elif key == 'origin': - origin = np.array([float(dict(zip(items[1::2],items[2::2]))[i]) for i in ['x','y','z']]) - if options.grid: grid = np.array(options.grid) - if options.size: size = np.array(options.size) - if options.origin: origin = np.array(options.origin) - - seeds = table.get(options.pos) - - grains = table.get(options.microstructure) if options.microstructure in table.labels else np.arange(len(seeds))+1 - grainIDs = np.unique(grains).astype('i') - - if options.eulers in table.labels: - eulers = table.get(options.eulers) - - if options.laguerre: - indices = grains[Laguerre_tessellation(grid,size,seeds,table.get(options.weight),origin, - options.periodic,options.cpus)] - else: - indices = grains[Voronoi_tessellation (grid,size,seeds,origin,options.periodic)] - - config_header = [] - if options.config: - - if options.eulers in table.labels: - config_header += [''] - for ID in grainIDs: - eulerID = np.nonzero(grains == ID)[0][0] # find first occurrence of this grain id - config_header += ['[Grain{}]'.format(ID), - '(gauss)\tphi1 {:.2f}\tPhi {:.2f}\tphi2 {:.2f}'.format(*eulers[eulerID]) - ] - if options.axes: config_header += ['axes\t{} {} {}'.format(*options.axes)] - - config_header += [''] - for ID in grainIDs: - config_header += ['[Grain{}]'.format(ID), - '(constituent)\tphase {}\ttexture {}\tfraction 1.0'.format(options.phase,ID) - ] - - config_header += [''] - - header = [scriptID + ' ' + ' '.join(sys.argv[1:])]\ - + config_header - geom = damask.Geom(indices.reshape(grid),size,origin, - comments=header) - damask.util.croak(geom) - - geom.save_ASCII(sys.stdout if name is None else os.path.splitext(name)[0]+'.geom',compress=False) diff --git a/processing/pre/hybridIA_linODFsampling.py b/processing/pre/hybridIA_linODFsampling.py deleted file mode 100755 index f99a2dd89..000000000 --- a/processing/pre/hybridIA_linODFsampling.py +++ /dev/null @@ -1,349 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -import math -import random -from io import StringIO -from optparse import OptionParser - -import numpy as np - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - - -# --- helper functions --- -def integerFactorization(i): - - j = int(math.floor(math.sqrt(float(i)))) - while j>1 and int(i)%j != 0: - j -= 1 - return j - -def binAsBins(bin,intervals): - """Explode compound bin into 3D bins list.""" - bins = [0]*3 - bins[0] = (bin//(intervals[1] * intervals[2])) % intervals[0] - bins[1] = (bin//intervals[2]) % intervals[1] - bins[2] = bin % intervals[2] - return bins - -def binsAsBin(bins,intervals): - """Implode 3D bins into compound bin.""" - return (bins[0]*intervals[1] + bins[1])*intervals[2] + bins[2] - -def EulersAsBins(Eulers,intervals,deltas,center): - """Return list of Eulers translated into 3D bins list.""" - return [int((euler+(0.5-center)*delta)//delta)%interval \ - for euler,delta,interval in zip(Eulers,deltas,intervals) \ - ] - -def binAsEulers(bin,intervals,deltas,center): - """Compound bin number translated into list of Eulers.""" - Eulers = [0.0]*3 - Eulers[2] = (bin%intervals[2] + center)*deltas[2] - Eulers[1] = (bin//intervals[2]%intervals[1] + center)*deltas[1] - Eulers[0] = (bin//(intervals[2]*intervals[1]) + center)*deltas[0] - return Eulers - -def directInvRepetitions(probability,scale): - """Calculate number of samples drawn by direct inversion.""" - nDirectInv = 0 - for bin in range(len(probability)): # loop over bins - nDirectInv += int(round(probability[bin]*scale)) # calc repetition - return nDirectInv - - -# ---------------------- sampling methods ----------------------------------------------------------------------- - -# ----- efficient algorithm --------- -def directInversion (ODF,nSamples): - """ODF contains 'dV_V' (normalized to 1), 'center', 'intervals', 'limits' (in radians).""" - nOptSamples = max(ODF['nNonZero'],nSamples) # random subsampling if too little samples requested - - nInvSamples = 0 - repetition = [None]*ODF['nBins'] - - scaleLower = 0.0 - nInvSamplesLower = 0 - scaleUpper = float(nOptSamples) - incFactor = 1.0 - nIter = 0 - nInvSamplesUpper = directInvRepetitions(ODF['dV_V'],scaleUpper) - while (\ - (scaleUpper-scaleLower > scaleUpper*1e-15 or nInvSamplesUpper < nOptSamples) and \ - nInvSamplesUpper != nOptSamples \ - ): # closer match required? - if nInvSamplesUpper < nOptSamples: - scaleLower,scaleUpper = scaleUpper,scaleUpper+incFactor*(scaleUpper-scaleLower)/2.0 - incFactor *= 2.0 - nInvSamplesLower,nInvSamplesUpper = nInvSamplesUpper,directInvRepetitions(ODF['dV_V'],scaleUpper) - else: - scaleUpper = (scaleLower+scaleUpper)/2.0 - incFactor = 1.0 - nInvSamplesUpper = directInvRepetitions(ODF['dV_V'],scaleUpper) - nIter += 1 - damask.util.croak('%i:(%12.11f,%12.11f) %i <= %i <= %i'%(nIter,scaleLower,scaleUpper, - nInvSamplesLower,nOptSamples,nInvSamplesUpper)) - nInvSamples = nInvSamplesUpper - scale = scaleUpper - damask.util.croak('created set of %i samples (%12.11f) with scaling %12.11f delivering %i'%(nInvSamples, - float(nInvSamples)/nOptSamples-1.0, - scale,nSamples)) - repetition = [None]*ODF['nBins'] # preallocate and clear - - for bin in range(ODF['nBins']): # loop over bins - repetition[bin] = int(round(ODF['dV_V'][bin]*scale)) # calc repetition - -# build set - set = [None]*nInvSamples - i = 0 - for bin in range(ODF['nBins']): - set[i:i+repetition[bin]] = [bin]*repetition[bin] # fill set with bin, i.e. orientation - i += repetition[bin] # advance set counter - - orientations = np.zeros((nSamples,3),'f') - reconstructedODF = np.zeros(ODF['nBins'],'f') - unitInc = 1.0/nSamples - for j in range(nSamples): - if (j == nInvSamples-1): ex = j - else: ex = int(round(random.uniform(j+0.5,nInvSamples-0.5))) - bin = set[ex] - Eulers = binAsEulers(bin,ODF['interval'],ODF['delta'],ODF['center']) - orientations[j] = np.degrees(Eulers) - reconstructedODF[bin] += unitInc - set[ex] = set[j] # exchange orientations - - return orientations, reconstructedODF - - -# ----- trial and error algorithms --------- - -def MonteCarloEulers (ODF,nSamples): - """ODF contains 'dV_V' (normalized to 1), 'center', 'intervals', 'limits' (in radians).""" - countMC = 0 - maxdV_V = max(ODF['dV_V']) - orientations = np.zeros((nSamples,3),'f') - reconstructedODF = np.zeros(ODF['nBins'],'f') - unitInc = 1.0/nSamples - - for j in range(nSamples): - MC = maxdV_V*2.0 - bin = 0 - while MC > ODF['dV_V'][bin]: - countMC += 1 - MC = maxdV_V*random.random() - Eulers = [limit*random.random() for limit in ODF['limit']] - bins = EulersAsBins(Eulers,ODF['interval'],ODF['delta'],ODF['center']) - bin = binsAsBin(bins,ODF['interval']) - orientations[j] = np.degrees(Eulers) - reconstructedODF[bin] += unitInc - - return orientations, reconstructedODF, countMC - - -def MonteCarloBins (ODF,nSamples): - """ODF contains 'dV_V' (normalized to 1), 'center', 'intervals', 'limits' (in radians).""" - countMC = 0 - maxdV_V = max(ODF['dV_V']) - orientations = np.zeros((nSamples,3),'f') - reconstructedODF = np.zeros(ODF['nBins'],'f') - unitInc = 1.0/nSamples - - for j in range(nSamples): - MC = maxdV_V*2.0 - bin = 0 - while MC > ODF['dV_V'][bin]: - countMC += 1 - MC = maxdV_V*random.random() - bin = int(ODF['nBins'] * random.random()) - Eulers = binAsEulers(bin,ODF['interval'],ODF['delta'],ODF['center']) - orientations[j] = np.degrees(Eulers) - reconstructedODF[bin] += unitInc - - return orientations, reconstructedODF - - -def TothVanHoutteSTAT (ODF,nSamples): - """ODF contains 'dV_V' (normalized to 1), 'center', 'intervals', 'limits' (in radians).""" - orientations = np.zeros((nSamples,3),'f') - reconstructedODF = np.zeros(ODF['nBins'],'f') - unitInc = 1.0/nSamples - - selectors = [random.random() for i in range(nSamples)] - selectors.sort() - indexSelector = 0 - - cumdV_V = 0.0 - countSamples = 0 - - for bin in range(ODF['nBins']) : - cumdV_V += ODF['dV_V'][bin] - while indexSelector < nSamples and selectors[indexSelector] < cumdV_V: - Eulers = binAsEulers(bin,ODF['interval'],ODF['delta'],ODF['center']) - orientations[countSamples] = np.degrees(Eulers) - reconstructedODF[bin] += unitInc - countSamples += 1 - indexSelector += 1 - - damask.util.croak('created set of %i when asked to deliver %i'%(countSamples,nSamples)) - - return orientations, reconstructedODF - - -# -------------------------------------------------------------------- -# MAIN -# -------------------------------------------------------------------- -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options [file[s]]', description =""" -Transform linear binned ODF data into given number of orientations. -IA: integral approximation, STAT: Van Houtte, MC: Monte Carlo - -""", version = scriptID) - -algorithms = ['IA', 'STAT','MC'] -parser.add_option('-n', '--nsamples', - dest = 'number', - type = 'int', metavar = 'int', - help = 'number of orientations to be generated [%default]') -parser.add_option('-a','--algorithm', - dest = 'algorithm', - choices = algorithms, metavar = 'string', - help = 'sampling algorithm {%s} [IA]'%(', '.join(algorithms))) -parser.add_option('-p','--phase', - dest = 'phase', - type = 'int', metavar = 'int', - help = 'phase index to be used [%default]') -parser.add_option('-r', '--rnd', - dest = 'randomSeed', - type = 'int', metavar = 'int', \ - help = 'seed of random number generator [%default]') -parser.set_defaults(randomSeed = None, - number = 500, - algorithm = 'IA', - phase = 1, - ang = True, - ) - -(options,filenames) = parser.parse_args() -if filenames == []: filenames = [None] - -for name in filenames: - damask.util.report(scriptName,name) - - table = damask.Table.load(StringIO(''.join(sys.stdin.read())) if name is None else name) - - randomSeed = int(os.urandom(4).hex(),16) if options.randomSeed is None else options.randomSeed # random seed per file - random.seed(randomSeed) - -# --------------- figure out limits (left/right), delta, and interval ----------------------------- - ODF = {} - eulers = table.get('euler') - limits = np.array([np.min(eulers,axis=0),np.max(eulers,axis=0)]) # min/max euler angles in degrees - ODF['limit'] = np.radians(limits[1,:]) # right hand limits in radians - ODF['center'] = 0.0 if all(limits[0,:]<1e-8) else 0.5 # vertex or cell centered - - ODF['interval'] = np.array(list(map(len,[np.unique(eulers[:,i]) for i in range(3)])),'i') # steps are number of distict values - ODF['nBins'] = ODF['interval'].prod() - ODF['delta'] = np.radians(np.array(limits[1,0:3]-limits[0,0:3])/(ODF['interval']-1)) # step size - - if eulers.shape[0] != ODF['nBins']: - damask.util.croak('expecting %i values but got %i'%(ODF['nBins'],eulers.shape[0])) - continue - -# ----- build binnedODF array and normalize ------------------------------------------------------ - sumdV_V = 0.0 - ODF['dV_V'] = [None]*ODF['nBins'] - ODF['nNonZero'] = 0 - dg = ODF['delta'][0]*2.0*math.sin(ODF['delta'][1]/2.0)*ODF['delta'][2] - intensity = table.get('intensity') - for b in range(ODF['nBins']): - ODF['dV_V'][b] = \ - max(0.0,intensity[b,0]) * dg * \ - math.sin(((b//ODF['interval'][2])%ODF['interval'][1]+ODF['center'])*ODF['delta'][1]) - if ODF['dV_V'][b] > 0.0: - sumdV_V += ODF['dV_V'][b] - ODF['nNonZero'] += 1 - - for b in range(ODF['nBins']): - ODF['dV_V'][b] /= sumdV_V # normalize dV/V - - damask.util.croak(['non-zero fraction: %12.11f (%i/%i)'%(float(ODF['nNonZero'])/ODF['nBins'], - ODF['nNonZero'], - ODF['nBins']), - 'Volume integral of ODF: %12.11f\n'%sumdV_V, - 'Reference Integral: %12.11f\n'%(ODF['limit'][0]*ODF['limit'][2]*(1-math.cos(ODF['limit'][1]))), - ]) - - Functions = {'IA': 'directInversion', 'STAT': 'TothVanHoutteSTAT', 'MC': 'MonteCarloBins'} - method = Functions[options.algorithm] - - Orientations, ReconstructedODF = (globals()[method])(ODF,options.number) - -# calculate accuracy of sample - squaredDiff = {'orig':0.0,method:0.0} - squaredRelDiff = {'orig':0.0,method:0.0} - mutualProd = {'orig':0.0,method:0.0} - indivSum = {'orig':0.0,method:0.0} - indivSquaredSum = {'orig':0.0,method:0.0} - - for bin in range(ODF['nBins']): - squaredDiff[method] += (ODF['dV_V'][bin] - ReconstructedODF[bin])**2 - if ODF['dV_V'][bin] > 0.0: - squaredRelDiff[method] += (ODF['dV_V'][bin] - ReconstructedODF[bin])**2/ODF['dV_V'][bin]**2 - mutualProd[method] += ODF['dV_V'][bin]*ReconstructedODF[bin] - indivSum[method] += ReconstructedODF[bin] - indivSquaredSum[method] += ReconstructedODF[bin]**2 - indivSum['orig'] += ODF['dV_V'][bin] - indivSquaredSum['orig'] += ODF['dV_V'][bin]**2 - - damask.util.croak(['sqrt(N*)RMSD of ODFs:\t %12.11f'% math.sqrt(options.number*squaredDiff[method]), - 'RMSrD of ODFs:\t %12.11f'%math.sqrt(squaredRelDiff[method]), - 'rMSD of ODFs:\t %12.11f'%(squaredDiff[method]/indivSquaredSum['orig']), - 'nNonZero correlation slope:\t %12.11f'\ - %((ODF['nNonZero']*mutualProd[method]-indivSum['orig']*indivSum[method])/\ - (ODF['nNonZero']*indivSquaredSum['orig']-indivSum['orig']**2)), - 'nNonZero correlation confidence:\t %12.11f'\ - %((mutualProd[method]-indivSum['orig']*indivSum[method]/ODF['nNonZero'])/\ - (ODF['nNonZero']*math.sqrt((indivSquaredSum['orig']/ODF['nNonZero']-(indivSum['orig']/ODF['nNonZero'])**2)*\ - (indivSquaredSum[method]/ODF['nNonZero']-(indivSum[method]/ODF['nNonZero'])**2)))), - ]) - - if method == 'IA' and options.number < ODF['nNonZero']: - strOpt = '(%i)'%ODF['nNonZero'] - - formatwidth = 1+int(math.log10(options.number)) - - materialConfig = [ - '#' + scriptID + ' ' + ' '.join(sys.argv[1:]), - '# random seed %i'%randomSeed, - '#-------------------#', - '', - '#-------------------#', - ] - - for i,ID in enumerate(range(options.number)): - materialConfig += ['[Grain%s]'%(str(ID+1).zfill(formatwidth)), - '(constituent) phase %i texture %s fraction 1.0'%(options.phase,str(ID+1).rjust(formatwidth)), - ] - - materialConfig += [ - '#-------------------#', - '', - '#-------------------#', - ] - - for ID in range(options.number): - eulers = Orientations[ID] - - materialConfig += ['[Grain%s]'%(str(ID+1).zfill(formatwidth)), - '(gauss) phi1 {} Phi {} phi2 {} scatter 0.0 fraction 1.0'.format(*eulers), - ] - -#--- output finalization -------------------------------------------------------------------------- - - with (open(os.path.splitext(name)[0]+'_'+method+'_'+str(options.number)+'_material.config','w')) as outfile: - outfile.write('\n'.join(materialConfig)+'\n') diff --git a/processing/pre/seeds_fromGeom.py b/processing/pre/seeds_fromGeom.py deleted file mode 100755 index b8d74b651..000000000 --- a/processing/pre/seeds_fromGeom.py +++ /dev/null @@ -1,68 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from io import StringIO -from optparse import OptionParser - -import numpy as np - -import damask - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - -#-------------------------------------------------------------------------------------------------- -# MAIN -#-------------------------------------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options [file[s]]', description = """ -Create seed file taking material indices from given geom file. -Indices can be black-listed or white-listed. - -""", version = scriptID) - -parser.add_option('-w', - '--white', - action = 'extend', metavar = '', - dest = 'whitelist', - help = 'whitelist of grain IDs') -parser.add_option('-b', - '--black', - action = 'extend', metavar = '', - dest = 'blacklist', - help = 'blacklist of grain IDs') - -parser.set_defaults(whitelist = [], - blacklist = [], - ) - -(options,filenames) = parser.parse_args() -if filenames == []: filenames = [None] - -options.whitelist = [int(i) for i in options.whitelist] -options.blacklist = [int(i) for i in options.blacklist] - -for name in filenames: - damask.util.report(scriptName,name) - - geom = damask.Geom.load_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) - material = geom.material.reshape((-1,1),order='F') - - mask = np.logical_and(np.in1d(material,options.whitelist,invert=False) if options.whitelist else \ - np.full(geom.grid.prod(),True,dtype=bool), - np.in1d(material,options.blacklist,invert=True) if options.blacklist else \ - np.full(geom.grid.prod(),True,dtype=bool)) - - seeds = damask.grid_filters.cell_coord0(geom.grid,geom.size).reshape(-1,3,order='F') - - comments = geom.comments \ - + [scriptID + ' ' + ' '.join(sys.argv[1:]), - 'grid\ta {}\tb {}\tc {}'.format(*geom.grid), - 'size\tx {}\ty {}\tz {}'.format(*geom.size), - 'origin\tx {}\ty {}\tz {}'.format(*geom.origin), - ] - - damask.Table(seeds[mask],{'pos':(3,)},comments)\ - .add('material',material[mask].astype(int))\ - .save(sys.stdout if name is None else os.path.splitext(name)[0]+'.seeds',legacy=True) diff --git a/processing/pre/seeds_fromRandom.py b/processing/pre/seeds_fromRandom.py deleted file mode 100755 index 451e218aa..000000000 --- a/processing/pre/seeds_fromRandom.py +++ /dev/null @@ -1,165 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from optparse import OptionParser,OptionGroup - -import numpy as np -from scipy import spatial - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - - -# -------------------------------------------------------------------- -# MAIN -# -------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options', description = """ -Distribute given number of points randomly within rectangular cuboid. -Reports positions with random crystal orientations in seeds file format to STDOUT. - -""", version = scriptID) - -parser.add_option('-N', - dest = 'N', - type = 'int', metavar = 'int', - help = 'number of seed points [%default]') -parser.add_option('-s', - '--size', - dest = 'size', - type = 'float', nargs = 3, metavar = 'float float float', - help='size x,y,z of unit cube to fill %default') -parser.add_option('-g', - '--grid', - dest = 'grid', - type = 'int', nargs = 3, metavar = 'int int int', - help='min a,b,c grid of hexahedral box %default') -parser.add_option('-m', - '--microstructure', - dest = 'microstructure', - type = 'int', metavar = 'int', - help = 'first microstructure index [%default]') -parser.add_option('-r', - '--rnd', - dest = 'randomSeed', type = 'int', metavar = 'int', - help = 'seed of random number generator [%default]') - -group = OptionGroup(parser, "Laguerre Tessellation", - "Parameters determining shape of weight distribution of seed points" - ) -group.add_option( '-w', - '--weights', - action = 'store_true', - dest = 'weights', - help = 'assign random weights to seed points for Laguerre tessellation [%default]') -group.add_option( '--max', - dest = 'max', - type = 'float', metavar = 'float', - help = 'max of uniform distribution for weights [%default]') -group.add_option( '--mean', - dest = 'mean', - type = 'float', metavar = 'float', - help = 'mean of normal distribution for weights [%default]') -group.add_option( '--sigma', - dest = 'sigma', - type = 'float', metavar = 'float', - help='standard deviation of normal distribution for weights [%default]') -parser.add_option_group(group) - -group = OptionGroup(parser, "Selective Seeding", - "More uniform distribution of seed points using Mitchell's Best Candidate Algorithm" - ) -group.add_option( '--selective', - action = 'store_true', - dest = 'selective', - help = 'selective picking of seed points from random seed points') -group.add_option( '--distance', - dest = 'distance', - type = 'float', metavar = 'float', - help = 'minimum distance to next neighbor [%default]') -group.add_option( '--numCandidates', - dest = 'numCandidates', - type = 'int', metavar = 'int', - help = 'size of point group to select best distance from [%default]') -parser.add_option_group(group) - -parser.set_defaults(randomSeed = None, - grid = (16,16,16), - size = (1.0,1.0,1.0), - N = 20, - weights = False, - max = 0.0, - mean = 0.2, - sigma = 0.05, - microstructure = 1, - selective = False, - distance = 0.2, - numCandidates = 10, - ) - -(options,filenames) = parser.parse_args() -if filenames == []: filenames = [None] - -size = np.array(options.size) -grid = np.array(options.grid) -np.random.seed(int(os.urandom(4).hex(),16) if options.randomSeed is None else options.randomSeed) - -for name in filenames: - damask.util.report(scriptName,name) - - if options.N > np.prod(grid): - damask.util.croak('More seeds than grid positions.') - sys.exit() - if options.selective and options.distance < min(size/grid): - damask.util.croak('Distance must be larger than grid spacing.') - sys.exit() - if options.selective and options.distance**3*options.N > 0.5*np.prod(size): - damask.util.croak('Number of seeds for given size and distance should be < {}.'\ - .format(int(0.5*np.prod(size)/options.distance**3))) - - eulers = np.random.rand(options.N,3) # create random Euler triplets - eulers[:,0] *= 360.0 # phi_1 is uniformly distributed - eulers[:,1] = np.degrees(np.arccos(2*eulers[:,1]-1.0)) # cos(Phi) is uniformly distributed - eulers[:,2] *= 360.0 # phi_2 is uniformly distributed - - - if not options.selective: - coords = damask.grid_filters.cell_coord0(grid,size).reshape(-1,3,order='F') - seeds = coords[np.random.choice(np.prod(grid), options.N, replace=False)] \ - + np.broadcast_to(size/grid,(options.N,3))*(np.random.rand(options.N,3)*.5-.25) # wobble without leaving grid - else: - seeds = np.empty((options.N,3)) - seeds[0] = np.random.random(3) * size - - i = 1 - progress = damask.util._ProgressBar(options.N,'',50) - while i < options.N: - candidates = np.random.rand(options.numCandidates,3)*np.broadcast_to(size,(options.numCandidates,3)) - tree = spatial.cKDTree(seeds[:i]) - distances, dev_null = tree.query(candidates) - best = distances.argmax() - if distances[best] > options.distance: # require minimum separation - seeds[i] = candidates[best] # maximum separation to existing point cloud - i += 1 - progress.update(i) - - - comments = [scriptID + ' ' + ' '.join(sys.argv[1:]), - 'grid\ta {}\tb {}\tc {}'.format(*grid), - 'size\tx {}\ty {}\tz {}'.format(*size), - 'randomSeed\t{}'.format(options.randomSeed), - ] - - table = damask.Table(np.hstack((seeds,eulers)),{'pos':(3,),'euler':(3,)},comments)\ - .add('microstructure',np.arange(options.microstructure,options.microstructure + options.N,dtype=int)) - - if options.weights: - weights = np.random.uniform(low = 0, high = options.max, size = options.N) if options.max > 0.0 \ - else np.random.normal(loc = options.mean, scale = options.sigma, size = options.N) - table = table.add('weight',weights) - - table.save(sys.stdout if name is None else name,legacy=True) From 9e3506b8ef21e444cb7884b8cd05d69579e4f484 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Fri, 25 Sep 2020 07:41:58 +0200 Subject: [PATCH 052/103] thorougly testing seeding functionality --- python/damask/seeds.py | 2 +- python/tests/test_seeds.py | 28 +++++++++++++++++++++++++++- 2 files changed, 28 insertions(+), 2 deletions(-) diff --git a/python/damask/seeds.py b/python/damask/seeds.py index ea40794da..9aab953d0 100644 --- a/python/damask/seeds.py +++ b/python/damask/seeds.py @@ -95,7 +95,7 @@ def from_geom(geom,selection=None,invert=False,average=False,periodic=True): """ material = geom.material.reshape((-1,1),order='F') mask = _np.full(geom.grid.prod(),True,dtype=bool) if selection is None else \ - _np.isin(material,selection,invert=invert) + _np.isin(material,selection,invert=invert).flatten() coords = grid_filters.cell_coord0(geom.grid,geom.size).reshape(-1,3,order='F') if not average: diff --git a/python/tests/test_seeds.py b/python/tests/test_seeds.py index 49d9a6bfd..c9ad6f0e3 100644 --- a/python/tests/test_seeds.py +++ b/python/tests/test_seeds.py @@ -3,6 +3,7 @@ import numpy as np from scipy.spatial import cKDTree from damask import seeds +from damask import grid_filters from damask import Geom class TestSeeds: @@ -25,7 +26,7 @@ class TestSeeds: cKDTree(coords).query(coords, 2) assert (0<= coords).all() and (coords=distance - def test_from_geom(self): + def test_from_geom_reconstruct(self): grid = np.random.randint(10,20,3) N_seeds = np.random.randint(30,300) size = np.ones(3) + np.random.random(3) @@ -34,3 +35,28 @@ class TestSeeds: coords,material = seeds.from_geom(geom_1) geom_2 = Geom.from_Voronoi_tessellation(grid,size,coords,material) assert (geom_2.material==geom_1.material).all() + + @pytest.mark.parametrize('periodic',[True,False]) + @pytest.mark.parametrize('average',[True,False]) + def test_from_geom_grid(self,periodic,average): + grid = np.random.randint(10,20,3) + size = np.ones(3) + np.random.random(3) + coords = grid_filters.cell_coord0(grid,size).reshape(-1,3) + np.random.shuffle(coords) + geom_1 = Geom.from_Voronoi_tessellation(grid,size,coords) + coords,material = seeds.from_geom(geom_1,average=average,periodic=periodic) + geom_2 = Geom.from_Voronoi_tessellation(grid,size,coords,material) + assert (geom_2.material==geom_1.material).all() + + @pytest.mark.parametrize('periodic',[True,False]) + @pytest.mark.parametrize('average',[True,False]) + @pytest.mark.parametrize('invert',[True,False]) + def test_from_geom_selection(self,periodic,average,invert): + grid = np.random.randint(10,20,3) + N_seeds = np.random.randint(30,300) + size = np.ones(3) + np.random.random(3) + coords = seeds.from_random(size,N_seeds,grid) + geom = Geom.from_Voronoi_tessellation(grid,size,coords) + selection=np.random.randint(N_seeds)+1 + coords,material = seeds.from_geom(geom,average=average,periodic=periodic,invert=invert,selection=[selection]) + assert selection not in material if invert else (selection==material).all() From b4f4acb2632ce0b94931bb076caaa3901a8730ac Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Fri, 25 Sep 2020 08:14:54 +0200 Subject: [PATCH 053/103] more thorough test --- PRIVATE | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/PRIVATE b/PRIVATE index b7c6e3a67..ca6b52222 160000 --- a/PRIVATE +++ b/PRIVATE @@ -1 +1 @@ -Subproject commit b7c6e3a6742b6098530a6fa5121b23ec9487dd4f +Subproject commit ca6b52222924fe23501c8cdeb0446b2cdecabd71 From 1fd0ec99862025632ca870d747c2e57d87edb832 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Fri, 25 Sep 2020 08:15:22 +0200 Subject: [PATCH 054/103] start immediately with longest test --- .gitlab-ci.yml | 20 ++++++++++---------- PRIVATE | 2 +- 2 files changed, 11 insertions(+), 11 deletions(-) diff --git a/.gitlab-ci.yml b/.gitlab-ci.yml index 054e18ae2..4e83757e5 100644 --- a/.gitlab-ci.yml +++ b/.gitlab-ci.yml @@ -239,6 +239,16 @@ Compile_Intel_Prepare: - release ################################################################################################### +Pytest_grid: + stage: grid + script: + - module load $IntelCompiler $MPICH_Intel $PETSc_MPICH_Intel + - cd pytest + - pytest + except: + - master + - release + Thermal: stage: grid script: Thermal/test.py @@ -304,16 +314,6 @@ Phenopowerlaw_singleSlip: - master - release -Pytest_grid: - stage: grid - script: - - module load $IntelCompiler $MPICH_Intel $PETSc_MPICH_Intel - - cd pytest - - pytest - except: - - master - - release - ################################################################################################### Marc_compileIfort: stage: compileMarc diff --git a/PRIVATE b/PRIVATE index ca6b52222..fe0a83c02 160000 --- a/PRIVATE +++ b/PRIVATE @@ -1 +1 @@ -Subproject commit ca6b52222924fe23501c8cdeb0446b2cdecabd71 +Subproject commit fe0a83c023334167197dafeb6bf09d17574e2955 From 398afbcbe4fe846d1553b25d6e15355e408cd93b Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Fri, 25 Sep 2020 10:47:50 +0200 Subject: [PATCH 055/103] removed aliases, users can symlink if they are afraid of changes DAMASK_spectral -> DAMASK_grid DAMASK_FEM -> DAMASK_mesh make spectral -> make grid make FEM -> make mesh --- Makefile | 8 -------- PRIVATE | 2 +- 2 files changed, 1 insertion(+), 9 deletions(-) diff --git a/Makefile b/Makefile index f7b783c61..418d70507 100644 --- a/Makefile +++ b/Makefile @@ -9,18 +9,10 @@ all: grid mesh processing .PHONY: grid grid: build/grid @(cd build/grid;make -j${DAMASK_NUM_THREADS} all install;) - @rm -f ${DAMASK_ROOT}/bin/DAMASK_spectral > /dev/null || true - @ln -s ${DAMASK_ROOT}/bin/DAMASK_grid ${DAMASK_ROOT}/bin/DAMASK_spectral || true -.PHONY: spectral -spectral: grid .PHONY: mesh mesh: build/mesh @(cd build/mesh; make -j${DAMASK_NUM_THREADS} all install;) - @rm -f ${DAMASK_ROOT}/bin/DAMASK_FEM > /dev/null || true - @ln -s ${DAMASK_ROOT}/bin/DAMASK_mesh ${DAMASK_ROOT}/bin/DAMASK_FEM || true -.PHONY: FEM -FEM: mesh .PHONY: build/grid build/grid: diff --git a/PRIVATE b/PRIVATE index fe0a83c02..f06c73c1e 160000 --- a/PRIVATE +++ b/PRIVATE @@ -1 +1 @@ -Subproject commit fe0a83c023334167197dafeb6bf09d17574e2955 +Subproject commit f06c73c1eacb9b5939bc84de3b8224abf195fb80 From 5c78e7ed5b53a0aa24a3b681feff70234c90f24f Mon Sep 17 00:00:00 2001 From: Test User Date: Fri, 25 Sep 2020 13:30:30 +0200 Subject: [PATCH 056/103] [skip ci] updated version information after successful test of v3.0.0-alpha-335-gdb8f6400f --- VERSION | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/VERSION b/VERSION index a8cc04d22..425e852a2 100644 --- a/VERSION +++ b/VERSION @@ -1 +1 @@ -v3.0.0-alpha-321-g0f6495430 +v3.0.0-alpha-335-gdb8f6400f From d51a73958ec84d7c2d8d91a0d6403566bae0fe63 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Fri, 25 Sep 2020 14:08:29 +0200 Subject: [PATCH 057/103] don't rely on non-existing shell scripts --- processing/pre/seeds_fromDistribution.py | 26 ++++++------------------ 1 file changed, 6 insertions(+), 20 deletions(-) diff --git a/processing/pre/seeds_fromDistribution.py b/processing/pre/seeds_fromDistribution.py index 48f803d29..375f33ad3 100755 --- a/processing/pre/seeds_fromDistribution.py +++ b/processing/pre/seeds_fromDistribution.py @@ -48,7 +48,6 @@ class myThread (threading.Thread): myBestSeedsVFile = StringIO() # store local copy of best seeds file perturbedSeedsVFile = StringIO() # perturbed best seeds file - perturbedGeomVFile = StringIO() # tessellated geom file #--- still not matching desired bin class ---------------------------------------------------------- while bestMatch < options.threshold: @@ -92,15 +91,10 @@ class myThread (threading.Thread): perturbedSeedsTable.set('pos',coords).save(perturbedSeedsVFile,legacy=True) #--- do tesselation with perturbed seed file ------------------------------------------------------ - perturbedGeomVFile.close() - perturbedGeomVFile = StringIO() - perturbedSeedsVFile.seek(0) - perturbedGeomVFile.write(damask.util.execute('geom_fromVoronoiTessellation '+ - ' -g '+' '.join(list(map(str, options.grid))),streamIn=perturbedSeedsVFile)[0]) - perturbedGeomVFile.seek(0) + perturbedGeom = damask.Geom.from_Voronoi_tessellation(options.grid,np.ones(3),coords) + #--- evaluate current seeds file ------------------------------------------------------------------ - perturbedGeom = damask.Geom.load_ASCII(perturbedGeomVFile) myNmaterials = len(np.unique(perturbedGeom.material)) currentData = np.bincount(perturbedGeom.material.ravel())[1:]/points currentError=[] @@ -227,22 +221,15 @@ for i in range(1,nMaterials+1): # ----------- create initial seed file or open existing one bestSeedsVFile = StringIO() if os.path.isfile(os.path.splitext(options.seedFile)[0]+'.seeds'): - with open(os.path.splitext(options.seedFile)[0]+'.seeds') as initialSeedFile: - for line in initialSeedFile: bestSeedsVFile.write(line) + initial_seeds = damask.Table.load(os.path.splitext(options.seedFile)[0]+'.seeds').get('pos') else: - bestSeedsVFile.write(damask.util.execute('seeds_fromRandom'+\ - ' -g '+' '.join(list(map(str, options.grid)))+\ - ' -r {:d}'.format(options.randomSeed)+\ - ' -N '+str(nMaterials))[0]) + initial_seeds = damask.seeds.from_random(np.ones(3),nMaterials,options.grid,options.randomSeed) + bestSeedsUpdate = time.time() # ----------- tessellate initial seed file to get and evaluate geom file bestSeedsVFile.seek(0) -initialGeomVFile = StringIO() -initialGeomVFile.write(damask.util.execute('geom_fromVoronoiTessellation '+ - ' -g '+' '.join(list(map(str, options.grid))),bestSeedsVFile)[0]) -initialGeomVFile.seek(0) -initialGeom = damask.Geom.load_ASCII(initialGeomVFile) +initialGeom = damask.Geom.from_Voronoi_tessellation(options.grid,np.ones(3),initial_seeds) if len(np.unique(targetGeom.material)) != nMaterials: damask.util.croak('error. Material count mismatch') @@ -269,7 +256,6 @@ else: if match >0: damask.util.croak('Stage {:d} cleared'.format(match)) sys.stdout.flush() -initialGeomVFile.close() # start mulithreaded monte carlo simulation threads = [] From 421d4b8f37c33103bc9c696879ac8c0340204f4e Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Fri, 25 Sep 2020 15:09:24 +0200 Subject: [PATCH 058/103] forgotten renames --- src/grid/DAMASK_grid.f90 | 2 +- src/material.f90 | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/src/grid/DAMASK_grid.f90 b/src/grid/DAMASK_grid.f90 index ac30d487d..d092fb477 100644 --- a/src/grid/DAMASK_grid.f90 +++ b/src/grid/DAMASK_grid.f90 @@ -288,7 +288,7 @@ program DAMASK_grid errorID = 838 ! no rotation is allowed by stress BC print*, ' stress / GPa:' do i = 1, 3; do j = 1, 3 - if(newLoadCase%stress%maskLogical(i,j)) then + if(newLoadCase%stress%mask(i,j)) then write(IO_STDOUT,'(2x,f12.7)',advance='no') newLoadCase%stress%values(i,j)*1e-9_pReal else write(IO_STDOUT,'(2x,12a)',advance='no') ' * ' diff --git a/src/material.f90 b/src/material.f90 index 30c5f09a0..b6d043183 100644 --- a/src/material.f90 +++ b/src/material.f90 @@ -369,7 +369,7 @@ subroutine material_parseMicrostructure microstructure => microstructures%get(discretization_microstructureAt(e)) constituents => microstructure%get('constituents') - material_homogenizationAt(e) = homogenization%getIndex(microstructure%get_asString('homogenization')) + material_homogenizationAt(e) = homogenizations%getIndex(microstructure%get_asString('homogenization')) do i = 1, discretization_nIP counterHomogenization(material_homogenizationAt(e)) = counterHomogenization(material_homogenizationAt(e)) + 1 material_homogenizationMemberAt(i,e) = counterHomogenization(material_homogenizationAt(e)) From 8396af5aec875916043edcd8510d600cf5d052ea Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Fri, 25 Sep 2020 15:19:31 +0200 Subject: [PATCH 059/103] not needed --- src/grid/DAMASK_grid.f90 | 4 ++-- src/grid/grid_damage_spectral.f90 | 6 ++---- src/grid/grid_thermal_spectral.f90 | 6 ++---- 3 files changed, 6 insertions(+), 10 deletions(-) diff --git a/src/grid/DAMASK_grid.f90 b/src/grid/DAMASK_grid.f90 index d092fb477..df7df4d3b 100644 --- a/src/grid/DAMASK_grid.f90 +++ b/src/grid/DAMASK_grid.f90 @@ -431,9 +431,9 @@ program DAMASK_grid case(FIELD_MECH_ID) solres(field) = mech_solution(incInfo) case(FIELD_THERMAL_ID) - solres(field) = grid_thermal_spectral_solution(timeinc,timeIncOld) + solres(field) = grid_thermal_spectral_solution(timeinc) case(FIELD_DAMAGE_ID) - solres(field) = grid_damage_spectral_solution(timeinc,timeIncOld) + solres(field) = grid_damage_spectral_solution(timeinc) end select if (.not. solres(field)%converged) exit ! no solution found diff --git a/src/grid/grid_damage_spectral.f90 b/src/grid/grid_damage_spectral.f90 index 27dc5c1bd..7e529fc68 100644 --- a/src/grid/grid_damage_spectral.f90 +++ b/src/grid/grid_damage_spectral.f90 @@ -156,11 +156,10 @@ end subroutine grid_damage_spectral_init !-------------------------------------------------------------------------------------------------- !> @brief solution for the spectral damage scheme with internal iterations !-------------------------------------------------------------------------------------------------- -function grid_damage_spectral_solution(timeinc,timeinc_old) result(solution) +function grid_damage_spectral_solution(timeinc) result(solution) real(pReal), intent(in) :: & - timeinc, & !< increment in time for current solution - timeinc_old !< increment in time of last increment + timeinc !< increment in time for current solution integer :: i, j, k, cell type(tSolutionState) :: solution PetscInt :: devNull @@ -174,7 +173,6 @@ function grid_damage_spectral_solution(timeinc,timeinc_old) result(solution) !-------------------------------------------------------------------------------------------------- ! set module wide availabe data params%timeinc = timeinc - params%timeincOld = timeinc_old call SNESSolve(damage_snes,PETSC_NULL_VEC,solution_vec,ierr); CHKERRQ(ierr) call SNESGetConvergedReason(damage_snes,reason,ierr); CHKERRQ(ierr) diff --git a/src/grid/grid_thermal_spectral.f90 b/src/grid/grid_thermal_spectral.f90 index 49be5ad7e..b4f9acddb 100644 --- a/src/grid/grid_thermal_spectral.f90 +++ b/src/grid/grid_thermal_spectral.f90 @@ -148,11 +148,10 @@ end subroutine grid_thermal_spectral_init !-------------------------------------------------------------------------------------------------- !> @brief solution for the spectral thermal scheme with internal iterations !-------------------------------------------------------------------------------------------------- -function grid_thermal_spectral_solution(timeinc,timeinc_old) result(solution) +function grid_thermal_spectral_solution(timeinc) result(solution) real(pReal), intent(in) :: & - timeinc, & !< increment in time for current solution - timeinc_old !< increment in time of last increment + timeinc !< increment in time for current solution integer :: i, j, k, cell type(tSolutionState) :: solution PetscInt :: devNull @@ -166,7 +165,6 @@ function grid_thermal_spectral_solution(timeinc,timeinc_old) result(solution) !-------------------------------------------------------------------------------------------------- ! set module wide availabe data params%timeinc = timeinc - params%timeincOld = timeinc_old call SNESSolve(thermal_snes,PETSC_NULL_VEC,solution_vec,ierr); CHKERRQ(ierr) call SNESGetConvergedReason(thermal_snes,reason,ierr); CHKERRQ(ierr) From 239dc25a0d7d8efad3b9adedee01a6b7677e18e4 Mon Sep 17 00:00:00 2001 From: Test User Date: Fri, 25 Sep 2020 16:20:49 +0200 Subject: [PATCH 060/103] [skip ci] updated version information after successful test of v3.0.0-alpha-351-g455e221a9 --- VERSION | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/VERSION b/VERSION index a8cc04d22..e12c9505f 100644 --- a/VERSION +++ b/VERSION @@ -1 +1 @@ -v3.0.0-alpha-321-g0f6495430 +v3.0.0-alpha-351-g455e221a9 From 32b81770d9dcf043ad4dd4e9b1a416987c676ef5 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Fri, 25 Sep 2020 21:35:47 +0200 Subject: [PATCH 061/103] shorter --- src/grid/DAMASK_grid.f90 | 6 +----- 1 file changed, 1 insertion(+), 5 deletions(-) diff --git a/src/grid/DAMASK_grid.f90 b/src/grid/DAMASK_grid.f90 index df7df4d3b..a1bb23375 100644 --- a/src/grid/DAMASK_grid.f90 +++ b/src/grid/DAMASK_grid.f90 @@ -365,11 +365,7 @@ program DAMASK_grid timeinc = loadCases(currentLoadCase)%time/real(loadCases(currentLoadCase)%incs,pReal) else if (currentLoadCase == 1) then ! 1st load case of logarithmic scale - if (inc == 1) then ! 1st inc of 1st load case of logarithmic scale - timeinc = loadCases(1)%time*(2.0_pReal**real( 1-loadCases(1)%incs ,pReal)) ! assume 1st inc is equal to 2nd - else ! not-1st inc of 1st load case of logarithmic scale - timeinc = loadCases(1)%time*(2.0_pReal**real(inc-1-loadCases(1)%incs ,pReal)) - endif + timeinc = loadCases(1)%time*(2.0_pReal**real(max(inc-1,1)-loadCases(1)%incs ,pReal)) ! assume 1st inc is equal to 2nd else ! not-1st load case of logarithmic scale timeinc = time0 * & ( (1.0_pReal + loadCases(currentLoadCase)%time/time0 )**(real( inc ,pReal)/& From 002fe04d353b94d70a2aecd832f28ebf77a31aef Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Sat, 26 Sep 2020 12:09:45 +0200 Subject: [PATCH 062/103] test for stress ramp --- PRIVATE | 2 +- src/grid/grid_mech_spectral_basic.f90 | 14 +++++++------- 2 files changed, 8 insertions(+), 8 deletions(-) diff --git a/PRIVATE b/PRIVATE index dc568df60..96a564660 160000 --- a/PRIVATE +++ b/PRIVATE @@ -1 +1 @@ -Subproject commit dc568df60e36b659d9a1f84ac93fd4abb1b8fe3c +Subproject commit 96a564660b1f109009039785ca6cc4c670867178 diff --git a/src/grid/grid_mech_spectral_basic.f90 b/src/grid/grid_mech_spectral_basic.f90 index 8072f49b9..e7e544886 100644 --- a/src/grid/grid_mech_spectral_basic.f90 +++ b/src/grid/grid_mech_spectral_basic.f90 @@ -123,13 +123,13 @@ subroutine grid_mech_spectral_basic_init ! read numerical parameters and do sanity checks num_grid => config_numerics%get('grid',defaultVal=emptyDict) - num%update_gamma = num_grid%get_asBool ('update_gamma', defaultVal=.false.) - num%eps_div_atol = num_grid%get_asFloat ('eps_div_atol', defaultVal=1.0e-4_pReal) - num%eps_div_rtol = num_grid%get_asFloat ('eps_div_rtol', defaultVal=5.0e-4_pReal) - num%eps_stress_atol = num_grid%get_asFloat ('eps_stress_atol',defaultVal=1.0e3_pReal) - num%eps_stress_rtol = num_grid%get_asFloat('eps_stress_rtol',defaultVal=1.0e-3_pReal) - num%itmin = num_grid%get_asInt ('itmin',defaultVal=1) - num%itmax = num_grid%get_asInt ('itmax',defaultVal=250) + num%update_gamma = num_grid%get_asBool ('update_gamma', defaultVal=.false.) + num%eps_div_atol = num_grid%get_asFloat ('eps_div_atol', defaultVal=1.0e-4_pReal) + num%eps_div_rtol = num_grid%get_asFloat ('eps_div_rtol', defaultVal=5.0e-4_pReal) + num%eps_stress_atol = num_grid%get_asFloat ('eps_stress_atol',defaultVal=1.0e3_pReal) + num%eps_stress_rtol = num_grid%get_asFloat ('eps_stress_rtol',defaultVal=1.0e-3_pReal) + num%itmin = num_grid%get_asInt ('itmin',defaultVal=1) + num%itmax = num_grid%get_asInt ('itmax',defaultVal=250) if (num%eps_div_atol <= 0.0_pReal) call IO_error(301,ext_msg='eps_div_atol') if (num%eps_div_rtol < 0.0_pReal) call IO_error(301,ext_msg='eps_div_rtol') From 6a7c47130e515d53e877f03ed4e02d897156344a Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Sat, 26 Sep 2020 12:49:05 +0200 Subject: [PATCH 063/103] fix: test compatible with IntelMPI --- PRIVATE | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/PRIVATE b/PRIVATE index f06c73c1e..d58fe610f 160000 --- a/PRIVATE +++ b/PRIVATE @@ -1 +1 @@ -Subproject commit f06c73c1eacb9b5939bc84de3b8224abf195fb80 +Subproject commit d58fe610f5cb462b497c0e9de0ff57bafec5c8c7 From 4721743a57ac5b00a8cec00eec252fde8415eb40 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Sat, 26 Sep 2020 13:17:17 +0200 Subject: [PATCH 064/103] more thorough testing --- PRIVATE | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/PRIVATE b/PRIVATE index 96a564660..b1cb4c7f3 160000 --- a/PRIVATE +++ b/PRIVATE @@ -1 +1 @@ -Subproject commit 96a564660b1f109009039785ca6cc4c670867178 +Subproject commit b1cb4c7f306b3412704615793d6f61f4218ca24a From 26125eb9fe8f3bb3005e01797ccaebe4c633fe3f Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Sat, 26 Sep 2020 15:14:06 +0200 Subject: [PATCH 065/103] fix: DAMASK_spectral was renamed to DAMASK_grid --- PRIVATE | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/PRIVATE b/PRIVATE index d58fe610f..c8e12648f 160000 --- a/PRIVATE +++ b/PRIVATE @@ -1 +1 @@ -Subproject commit d58fe610f5cb462b497c0e9de0ff57bafec5c8c7 +Subproject commit c8e12648fd5642f887ddca233f89591120dcf564 From e8e19603918b14d030a15e160a2ce60d5c022d7d Mon Sep 17 00:00:00 2001 From: Vitesh Shah Date: Sat, 26 Sep 2020 18:02:25 +0200 Subject: [PATCH 066/103] Consistency for docstrings --- python/damask/_geom.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/python/damask/_geom.py b/python/damask/_geom.py index b793baf6b..6a7bc3c0e 100644 --- a/python/damask/_geom.py +++ b/python/damask/_geom.py @@ -406,9 +406,9 @@ class Geom: locations (cell centers) are addressed. If given as floats, coordinates are addressed. exponent : numpy.ndarray of shape(3) or float - Exponents for the three axis. + Exponents for the three axes. 0 gives octahedron (ǀxǀ^(2^0) + ǀyǀ^(2^0) + ǀzǀ^(2^0) < 1) - 1 gives a sphere (ǀxǀ^(2^1) + ǀyǀ^(2^1) + ǀzǀ^(2^1) < 1) + 1 gives sphere (ǀxǀ^(2^1) + ǀyǀ^(2^1) + ǀzǀ^(2^1) < 1) fill : int, optional Fill value for primitive. Defaults to material.max() + 1. R : damask.Rotation, optional From 4dcb62d9ea9a199579b7e7a5f6209c449ea454cf Mon Sep 17 00:00:00 2001 From: Test User Date: Sun, 27 Sep 2020 19:00:49 +0200 Subject: [PATCH 067/103] [skip ci] updated version information after successful test of v3.0.0-alpha-360-g818974ee4 --- VERSION | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/VERSION b/VERSION index 425e852a2..569d2723d 100644 --- a/VERSION +++ b/VERSION @@ -1 +1 @@ -v3.0.0-alpha-335-gdb8f6400f +v3.0.0-alpha-360-g818974ee4 From 7786a9892e1f5358f5dcaf887641074d0a0924ac Mon Sep 17 00:00:00 2001 From: Philip Eisenlohr Date: Sun, 27 Sep 2020 22:28:22 +0200 Subject: [PATCH 068/103] [skip ci] Output 'worldsize' only after it has been determined... --- src/parallelization.f90 | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) diff --git a/src/parallelization.f90 b/src/parallelization.f90 index 3bb1f6af5..fb50a1a23 100644 --- a/src/parallelization.f90 +++ b/src/parallelization.f90 @@ -46,21 +46,21 @@ subroutine parallelization_init ! If openMP is enabled, check if the MPI libary supports it and initialize accordingly. ! Otherwise, the first call to PETSc will do the initialization. call MPI_Init_Thread(MPI_THREAD_FUNNELED,threadLevel,err) - if (err /= 0) error stop 'MPI init failed' - if (threadLevel>>' - if (worldrank == 0) print'(a,i3)', ' MPI processes: ',worldsize call MPI_Comm_size(PETSC_COMM_WORLD,worldsize,err) - if (err /= 0) error stop 'Could not determine worldsize' + if (err /= 0) error stop 'Could not determine worldsize' + if (worldrank == 0) print'(a,i3)', ' MPI processes: ',worldsize call MPI_Type_size(MPI_INTEGER,typeSize,err) if (err /= 0) error stop 'Could not determine MPI integer size' From c982658b11bb39beaf28205e4b4ab9beaa7c940b Mon Sep 17 00:00:00 2001 From: Philip Eisenlohr Date: Sun, 27 Sep 2020 22:42:40 +0200 Subject: [PATCH 069/103] [skip ci] Avoid "error: type name is not allowed" --- src/C_routines.c | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/src/C_routines.c b/src/C_routines.c index 927b26412..98dc25e45 100644 --- a/src/C_routines.c +++ b/src/C_routines.c @@ -61,13 +61,13 @@ void signalusr2_c(void (*handler)(int)){ void inflate_c(const uLong *s_deflated, const uLong *s_inflated, const Byte deflated[], Byte inflated[]){ /* make writable copy, uncompress will write to it */ - uLong s_inflated_; + uLong s_inflated_,i; s_inflated_ = *s_inflated; if(uncompress((Bytef *)inflated, &s_inflated_, (Bytef *)deflated, *s_deflated) == Z_OK) return; else{ - for(uLong i=0;i<*s_inflated;i++){ + for(i=0;i<*s_inflated;i++){ inflated[i] = 0; } } From 7beed17a393693c27195202f94d8ce8b035d7bbd Mon Sep 17 00:00:00 2001 From: Test User Date: Mon, 28 Sep 2020 03:05:49 +0200 Subject: [PATCH 070/103] [skip ci] updated version information after successful test of v3.0.0-alpha-374-gc545ad869 --- VERSION | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/VERSION b/VERSION index 569d2723d..9b2b9492e 100644 --- a/VERSION +++ b/VERSION @@ -1 +1 @@ -v3.0.0-alpha-360-g818974ee4 +v3.0.0-alpha-374-gc545ad869 From 95b85626d894c82d3b10f8612dc109fe0bdbb9f1 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Mon, 28 Sep 2020 07:40:43 +0200 Subject: [PATCH 071/103] general hybridIA functionality --- python/damask/util.py | 18 ++++++++++++++++++ python/tests/test_util.py | 13 +++++++++++++ 2 files changed, 31 insertions(+) diff --git a/python/damask/util.py b/python/damask/util.py index 43e86314e..12d4fd6cc 100644 --- a/python/damask/util.py +++ b/python/damask/util.py @@ -20,6 +20,7 @@ __all__=[ 'execute', 'show_progress', 'scale_to_coprime', + 'hybrid_IA', 'return_message', 'extendableOption', 'execution_stamp' @@ -187,6 +188,23 @@ def execution_stamp(class_name,function_name=None): return f'damask.{class_name}{_function_name} v{version} ({now})' +def hybrid_IA(dist,N,seed=None): + rng = np.random.default_rng(seed) + N_opt_samples = max(np.count_nonzero(dist),N) # random subsampling if too little samples requested + + scale_,scale,inc_factor = (0.0,float(N_opt_samples),1.0) + repeats = np.rint(scale*dist).astype(int) + N_inv_samples = np.sum(repeats) + while (not np.isclose(scale, scale_)) and (N_inv_samples != N_opt_samples): + scale_,scale,inc_factor = (scale,scale+inc_factor*0.5*(scale - scale_), inc_factor*2.0) \ + if N_inv_samples < N_opt_samples else \ + (scale_,0.5*(scale_ + scale), 1.0) + repeats = np.rint(scale*dist).astype(int) + N_inv_samples = np.sum(repeats) + + return np.repeat(np.arange(len(dist)),repeats)[rng.permutation(N_inv_samples)[:N]] + + #################################################################################################### # Classes #################################################################################################### diff --git a/python/tests/test_util.py b/python/tests/test_util.py index 053045741..0b5593e8e 100644 --- a/python/tests/test_util.py +++ b/python/tests/test_util.py @@ -1,5 +1,7 @@ import pytest import numpy as np +from scipy import stats + from damask import util @@ -31,3 +33,14 @@ class TestUtil: def test_lackofprecision(self): with pytest.raises(ValueError): util.scale_to_coprime(np.array([1/333.333,1,1])) + + + @pytest.mark.parametrize('rv',[stats.rayleigh(),stats.weibull_min(1.2),stats.halfnorm(),stats.pareto(2.62)]) + def test_hybridIA(self,rv): + bins = np.linspace(0,10,100000) + centers = (bins[1:]+bins[:-1])/2 + N_samples = bins.shape[0]-1000 + dist = rv.pdf(centers) + selected = util.hybrid_IA(dist,N_samples) + dist_sampled = np.histogram(centers[selected],bins)[0]/N_samples*np.sum(dist) + assert np.sqrt(((dist - dist_sampled) ** 2).mean()) < .025 and selected.shape[0]==N_samples From d2cfcdaca0578714a6eb7226c217c72eb7678539 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Mon, 28 Sep 2020 13:14:23 +0200 Subject: [PATCH 072/103] reference Data for ODF sampling (hybridIA) + skeleton of a test --- python/damask/_rotation.py | 53 +- .../reference/Rotation/ODF_experimental.odf | 1524 + .../reference/Rotation/ODF_experimental.txt | 198510 +++++++++++++++ .../Rotation/ODF_experimental_cell.txt | 186629 ++++++++++++++ python/tests/test_Rotation.py | 42 +- 5 files changed, 386751 insertions(+), 7 deletions(-) create mode 100644 python/tests/reference/Rotation/ODF_experimental.odf create mode 100644 python/tests/reference/Rotation/ODF_experimental.txt create mode 100644 python/tests/reference/Rotation/ODF_experimental_cell.txt diff --git a/python/damask/_rotation.py b/python/damask/_rotation.py index 363dbfce8..495f0c7ec 100644 --- a/python/damask/_rotation.py +++ b/python/damask/_rotation.py @@ -1,6 +1,8 @@ import numpy as np from . import mechanics +from . import util +from . import grid_filters _P = -1 @@ -647,13 +649,56 @@ class Rotation: return Rotation(q.reshape(r.shape[:-1]+(4,)) if shape is not None else q)._standardize() - # for compatibility (old names do not follow convention) - fromEulers = from_Eulers - fromQuaternion = from_quaternion - asAxisAngle = as_axis_angle + # for compatibility __mul__ = __matmul__ + @staticmethod + def from_ODF(weights,Eulers,N=500,degrees=True,fractions=True,seed=None): + """ + Sample discrete orientations from a binned ODF. + + References + ---------- + P. Eisenlohr, F. Roters, Computational Materials Science 42(4), 670-678, 2008 + https://doi.org/10.1016/j.commatsci.2007.09.015 + + Parameters + ---------- + fname : file, str, or pathlib.Path + ODF file containing normalized probability (labeled 'intensity') + on a grid in Euler space (labeled 'euler'). + N : integer, optional + Number of discrete orientations to be sampled from the given ODF. + Defaults to 500. + degrees : boolean, optional + Euler grid values are in degrees. Defaults to True. + fractions : boolean, optional + ODF values correspond to volume fractions, not probability density. + Defaults to True. + seed: {None, int, array_like[ints], SeedSequence, BitGenerator, Generator}, optional + A seed to initialize the BitGenerator. Defaults to None, i.e. unpredictable entropy + will be pulled from the OS. + + Notes + ----- + Explain here the different things that need to be considered + + """ + def _dg(eu,deg): + """Return infinitesimal Euler space volume of bin(s).""" + Eulers_sorted = eu[np.lexsort((eu[:,0],eu[:,1],eu[:,2]))] + steps,size,_ = grid_filters.cell_coord0_gridSizeOrigin(Eulers_sorted) + delta = np.radians(size/steps) if deg else size/steps + return delta[0]*2.0*np.sin(delta[1]/2.0)*delta[2] / 8.0 / np.pi**2 * np.sin(np.radians(eu[:,1]) if deg else eu[:,1]) + + dg = 1.0 if fractions else _dg(Eulers,degrees) + dV_V = dg * np.maximum(0.0,weights.squeeze()) + orientations = Rotation.from_Eulers(Eulers[util.hybrid_IA(dV_V,N,seed)],degrees) + + return orientations + + @staticmethod def from_spherical_component(center,sigma,N=500,degrees=True,seed=None): """ diff --git a/python/tests/reference/Rotation/ODF_experimental.odf b/python/tests/reference/Rotation/ODF_experimental.odf new file mode 100644 index 000000000..5a56fe04f --- /dev/null +++ b/python/tests/reference/Rotation/ODF_experimental.odf @@ -0,0 +1,1524 @@ +MPIE Aluminum + 0.MODEL MINI 2 4 1 DATE 25:05:20 TIME 13:36:30 LACT= 22 +EXPERIMENTAL ODF 99 5 1PHI2 LEVELS: 2. 4. 7. 12. 20. 30. 40. 50. 60. 70. +MPIE Aluminum N........ EVEN(EXP) C-COEFFICIENTS C1=1.0000 LMAX= 22 + + 0.0 DEGREE - PHI2-SECTION ( FMAX ABS = 3.88 FMAX-I = 3.88 ) PHI2 = 0. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 0.0 + 2.5 2.31 2.24 2.07 1.83 1.57 1.33 1.10 0.89 0.68 0.51 0.40 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.38 0.41 0.41 0.44 0.53 0.68 0.87 1.08 1.31 1.54 1.78 2.00 2.16 2.22 2.16 2.00 1.78 1.54 1.31 1.08 0.87 0.68 0.53 0.44 0.41 0.41 0.38 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.40 0.51 0.68 0.89 1.10 1.33 1.57 1.83 2.07 2.24 2.31 2.24 2.07 1.83 1.57 1.33 1.10 0.89 0.68 0.51 0.40 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.38 0.41 0.41 0.44 0.53 0.68 0.87 1.08 1.31 1.54 1.78 2.00 2.16 2.22 2.16 2.00 1.78 1.54 1.31 1.08 0.87 0.68 0.53 0.44 0.41 0.41 0.38 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.40 0.51 0.68 0.89 1.10 1.33 1.57 1.83 2.07 2.24 2.31 2.5 + 5.0 2.47 2.40 2.18 1.89 1.58 1.30 1.05 0.82 0.60 0.42 0.30 0.26 0.27 0.29 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.45 0.48 0.44 0.42 0.46 0.56 0.74 0.96 1.21 1.46 1.71 1.94 2.09 2.14 2.09 1.94 1.71 1.46 1.21 0.96 0.74 0.56 0.46 0.42 0.44 0.48 0.45 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.29 0.27 0.26 0.30 0.42 0.60 0.82 1.05 1.30 1.58 1.89 2.18 2.40 2.47 2.40 2.18 1.89 1.58 1.30 1.05 0.82 0.60 0.42 0.30 0.26 0.27 0.29 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.45 0.48 0.44 0.42 0.46 0.56 0.74 0.96 1.21 1.46 1.71 1.94 2.09 2.14 2.09 1.94 1.71 1.46 1.21 0.96 0.74 0.56 0.46 0.42 0.44 0.48 0.45 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.29 0.27 0.26 0.30 0.42 0.60 0.82 1.05 1.30 1.58 1.89 2.18 2.40 2.47 5.0 + 7.5 2.60 2.50 2.24 1.89 1.53 1.20 0.93 0.70 0.49 0.31 0.17 0.12 0.14 0.20 0.23 0.19 0.08 0.00 0.00 0.00 0.00 0.11 0.31 0.44 0.46 0.40 0.32 0.28 0.33 0.49 0.72 0.99 1.27 1.53 1.75 1.88 1.93 1.88 1.75 1.53 1.27 0.99 0.72 0.49 0.33 0.28 0.32 0.40 0.46 0.44 0.31 0.11 0.00 0.00 0.00 0.00 0.08 0.19 0.23 0.20 0.14 0.12 0.17 0.31 0.49 0.70 0.93 1.20 1.53 1.89 2.24 2.50 2.60 2.50 2.24 1.89 1.53 1.20 0.93 0.70 0.49 0.31 0.17 0.12 0.14 0.20 0.23 0.19 0.08 0.00 0.00 0.00 0.00 0.11 0.31 0.44 0.46 0.40 0.32 0.28 0.33 0.49 0.72 0.99 1.27 1.53 1.75 1.88 1.93 1.88 1.75 1.53 1.27 0.99 0.72 0.49 0.33 0.28 0.32 0.40 0.46 0.44 0.31 0.11 0.00 0.00 0.00 0.00 0.08 0.19 0.23 0.20 0.14 0.12 0.17 0.31 0.49 0.70 0.93 1.20 1.53 1.89 2.24 2.50 2.60 7.5 + 10.0 2.57 2.46 2.17 1.77 1.36 1.02 0.76 0.55 0.37 0.19 0.05 0.00 0.00 0.06 0.15 0.17 0.08 0.00 0.00 0.00 0.00 0.00 0.13 0.29 0.33 0.25 0.11 0.01 0.00 0.13 0.37 0.67 0.97 1.23 1.42 1.53 1.57 1.53 1.42 1.23 0.97 0.67 0.37 0.13 0.00 0.01 0.11 0.25 0.33 0.29 0.13 0.00 0.00 0.00 0.00 0.00 0.08 0.17 0.15 0.06 0.00 0.00 0.05 0.19 0.37 0.55 0.76 1.02 1.36 1.77 2.17 2.46 2.57 2.46 2.17 1.77 1.36 1.02 0.76 0.55 0.37 0.19 0.05 0.00 0.00 0.06 0.15 0.17 0.08 0.00 0.00 0.00 0.00 0.00 0.13 0.29 0.33 0.25 0.11 0.01 0.00 0.13 0.37 0.67 0.97 1.23 1.42 1.53 1.57 1.53 1.42 1.23 0.97 0.67 0.37 0.13 0.00 0.01 0.11 0.25 0.33 0.29 0.13 0.00 0.00 0.00 0.00 0.00 0.08 0.17 0.15 0.06 0.00 0.00 0.05 0.19 0.37 0.55 0.76 1.02 1.36 1.77 2.17 2.46 2.57 10.0 + 12.5 2.40 2.28 1.96 1.53 1.11 0.78 0.56 0.41 0.28 0.13 0.00 0.00 0.00 0.00 0.02 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.03 0.34 0.65 0.89 1.05 1.13 1.15 1.13 1.05 0.89 0.65 0.34 0.03 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.02 0.00 0.00 0.00 0.00 0.13 0.28 0.41 0.56 0.78 1.11 1.53 1.96 2.28 2.40 2.28 1.96 1.53 1.11 0.78 0.56 0.41 0.28 0.13 0.00 0.00 0.00 0.00 0.02 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.03 0.34 0.65 0.89 1.05 1.13 1.15 1.13 1.05 0.89 0.65 0.34 0.03 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.02 0.00 0.00 0.00 0.00 0.13 0.28 0.41 0.56 0.78 1.11 1.53 1.96 2.28 2.40 12.5 + 15.0 2.19 2.07 1.73 1.29 0.87 0.58 0.42 0.34 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.47 0.68 0.79 0.83 0.84 0.83 0.79 0.68 0.47 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.34 0.42 0.58 0.87 1.29 1.73 2.07 2.19 2.07 1.73 1.29 0.87 0.58 0.42 0.34 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.47 0.68 0.79 0.83 0.84 0.83 0.79 0.68 0.47 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.34 0.42 0.58 0.87 1.29 1.73 2.07 2.19 15.0 + 17.5 2.10 1.96 1.61 1.17 0.76 0.50 0.39 0.37 0.35 0.26 0.09 0.00 0.00 0.00 0.00 0.05 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.10 0.00 0.00 0.00 0.00 0.00 0.24 0.53 0.70 0.77 0.78 0.77 0.78 0.77 0.70 0.53 0.24 0.00 0.00 0.00 0.00 0.00 0.10 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.05 0.00 0.00 0.00 0.00 0.09 0.26 0.35 0.37 0.39 0.50 0.76 1.17 1.61 1.96 2.10 1.96 1.61 1.17 0.76 0.50 0.39 0.37 0.35 0.26 0.09 0.00 0.00 0.00 0.00 0.05 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.10 0.00 0.00 0.00 0.00 0.00 0.24 0.53 0.70 0.77 0.78 0.77 0.78 0.77 0.70 0.53 0.24 0.00 0.00 0.00 0.00 0.00 0.10 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.05 0.00 0.00 0.00 0.00 0.09 0.26 0.35 0.37 0.39 0.50 0.76 1.17 1.61 1.96 2.10 17.5 + 20.0 2.19 2.05 1.69 1.24 0.84 0.59 0.52 0.54 0.55 0.46 0.28 0.09 0.00 0.02 0.15 0.27 0.26 0.08 0.00 0.00 0.00 0.00 0.01 0.34 0.51 0.46 0.24 0.00 0.00 0.00 0.22 0.53 0.80 0.95 0.99 0.97 0.96 0.97 0.99 0.95 0.80 0.53 0.22 0.00 0.00 0.00 0.24 0.46 0.51 0.34 0.01 0.00 0.00 0.00 0.00 0.08 0.26 0.27 0.15 0.02 0.00 0.09 0.28 0.46 0.55 0.54 0.52 0.59 0.84 1.24 1.69 2.05 2.19 2.05 1.69 1.24 0.84 0.59 0.52 0.54 0.55 0.46 0.28 0.09 0.00 0.02 0.15 0.27 0.26 0.08 0.00 0.00 0.00 0.00 0.01 0.34 0.51 0.46 0.24 0.00 0.00 0.00 0.22 0.53 0.80 0.95 0.99 0.97 0.96 0.97 0.99 0.95 0.80 0.53 0.22 0.00 0.00 0.00 0.24 0.46 0.51 0.34 0.01 0.00 0.00 0.00 0.00 0.08 0.26 0.27 0.15 0.02 0.00 0.09 0.28 0.46 0.55 0.54 0.52 0.59 0.84 1.24 1.69 2.05 2.19 20.0 + 22.5 2.42 2.28 1.91 1.45 1.05 0.82 0.77 0.80 0.81 0.71 0.52 0.31 0.22 0.28 0.45 0.62 0.65 0.49 0.21 0.00 0.00 0.12 0.46 0.78 0.93 0.85 0.61 0.34 0.22 0.30 0.55 0.86 1.12 1.25 1.28 1.24 1.22 1.24 1.28 1.25 1.12 0.86 0.55 0.30 0.22 0.34 0.61 0.85 0.93 0.78 0.46 0.12 0.00 0.00 0.21 0.49 0.65 0.62 0.45 0.28 0.22 0.31 0.52 0.71 0.81 0.80 0.77 0.82 1.05 1.45 1.91 2.28 2.42 2.28 1.91 1.45 1.05 0.82 0.77 0.80 0.81 0.71 0.52 0.31 0.22 0.28 0.45 0.62 0.65 0.49 0.21 0.00 0.00 0.12 0.46 0.78 0.93 0.85 0.61 0.34 0.22 0.30 0.55 0.86 1.12 1.25 1.28 1.24 1.22 1.24 1.28 1.25 1.12 0.86 0.55 0.30 0.22 0.34 0.61 0.85 0.93 0.78 0.46 0.12 0.00 0.00 0.21 0.49 0.65 0.62 0.45 0.28 0.22 0.31 0.52 0.71 0.81 0.80 0.77 0.82 1.05 1.45 1.91 2.28 2.42 22.5 + 25.0 2.64 2.50 2.12 1.67 1.28 1.08 1.05 1.09 1.09 0.97 0.76 0.55 0.47 0.57 0.80 1.00 1.04 0.87 0.58 0.33 0.27 0.44 0.76 1.06 1.17 1.04 0.77 0.49 0.36 0.44 0.68 0.99 1.23 1.36 1.38 1.34 1.32 1.34 1.38 1.36 1.23 0.99 0.68 0.44 0.36 0.49 0.77 1.04 1.17 1.06 0.76 0.44 0.27 0.33 0.58 0.87 1.04 1.00 0.80 0.57 0.47 0.55 0.76 0.97 1.09 1.09 1.05 1.08 1.28 1.67 2.12 2.50 2.64 2.50 2.12 1.67 1.28 1.08 1.05 1.09 1.09 0.97 0.76 0.55 0.47 0.57 0.80 1.00 1.04 0.87 0.58 0.33 0.27 0.44 0.76 1.06 1.17 1.04 0.77 0.49 0.36 0.44 0.68 0.99 1.23 1.36 1.38 1.34 1.32 1.34 1.38 1.36 1.23 0.99 0.68 0.44 0.36 0.49 0.77 1.04 1.17 1.06 0.76 0.44 0.27 0.33 0.58 0.87 1.04 1.00 0.80 0.57 0.47 0.55 0.76 0.97 1.09 1.09 1.05 1.08 1.28 1.67 2.12 2.50 2.64 25.0 + 27.5 2.67 2.53 2.17 1.74 1.40 1.24 1.26 1.33 1.33 1.20 0.97 0.77 0.72 0.87 1.12 1.32 1.33 1.09 0.73 0.42 0.31 0.45 0.74 0.99 1.05 0.89 0.58 0.29 0.17 0.25 0.50 0.79 1.02 1.14 1.15 1.11 1.09 1.11 1.15 1.14 1.02 0.79 0.50 0.25 0.17 0.29 0.58 0.89 1.05 0.99 0.74 0.45 0.31 0.42 0.73 1.09 1.33 1.32 1.12 0.87 0.72 0.77 0.97 1.20 1.33 1.33 1.26 1.24 1.40 1.74 2.17 2.53 2.67 2.53 2.17 1.74 1.40 1.24 1.26 1.33 1.33 1.20 0.97 0.77 0.72 0.87 1.12 1.32 1.33 1.09 0.73 0.42 0.31 0.45 0.74 0.99 1.05 0.89 0.58 0.29 0.17 0.25 0.50 0.79 1.02 1.14 1.15 1.11 1.09 1.11 1.15 1.14 1.02 0.79 0.50 0.25 0.17 0.29 0.58 0.89 1.05 0.99 0.74 0.45 0.31 0.42 0.73 1.09 1.33 1.32 1.12 0.87 0.72 0.77 0.97 1.20 1.33 1.33 1.26 1.24 1.40 1.74 2.17 2.53 2.67 27.5 + 30.0 2.47 2.33 1.99 1.60 1.32 1.24 1.33 1.45 1.47 1.35 1.13 0.96 0.97 1.15 1.42 1.58 1.49 1.13 0.64 0.22 0.04 0.14 0.39 0.61 0.63 0.43 0.11 0.00 0.00 0.00 0.07 0.34 0.55 0.63 0.62 0.58 0.55 0.58 0.62 0.63 0.55 0.34 0.07 0.00 0.00 0.00 0.11 0.43 0.63 0.61 0.39 0.14 0.04 0.22 0.64 1.13 1.49 1.58 1.42 1.15 0.97 0.96 1.13 1.35 1.47 1.45 1.33 1.24 1.32 1.60 1.99 2.33 2.47 2.33 1.99 1.60 1.32 1.24 1.33 1.45 1.47 1.35 1.13 0.96 0.97 1.15 1.42 1.58 1.49 1.13 0.64 0.22 0.04 0.14 0.39 0.61 0.63 0.43 0.11 0.00 0.00 0.00 0.07 0.34 0.55 0.63 0.62 0.58 0.55 0.58 0.62 0.63 0.55 0.34 0.07 0.00 0.00 0.00 0.11 0.43 0.63 0.61 0.39 0.14 0.04 0.22 0.64 1.13 1.49 1.58 1.42 1.15 0.97 0.96 1.13 1.35 1.47 1.45 1.33 1.24 1.32 1.60 1.99 2.33 2.47 30.0 + 32.5 2.08 1.95 1.63 1.28 1.07 1.07 1.24 1.43 1.51 1.43 1.26 1.15 1.23 1.48 1.75 1.85 1.63 1.10 0.44 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.44 1.10 1.63 1.85 1.75 1.48 1.23 1.15 1.26 1.43 1.51 1.43 1.24 1.07 1.07 1.28 1.63 1.95 2.08 1.95 1.63 1.28 1.07 1.07 1.24 1.43 1.51 1.43 1.26 1.15 1.23 1.48 1.75 1.85 1.63 1.10 0.44 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.44 1.10 1.63 1.85 1.75 1.48 1.23 1.15 1.26 1.43 1.51 1.43 1.24 1.07 1.07 1.28 1.63 1.95 2.08 32.5 + 35.0 1.67 1.54 1.22 0.89 0.72 0.79 1.04 1.31 1.46 1.44 1.35 1.35 1.54 1.87 2.18 2.22 1.86 1.17 0.34 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.34 1.17 1.86 2.22 2.18 1.87 1.54 1.35 1.35 1.44 1.46 1.31 1.04 0.79 0.72 0.89 1.22 1.54 1.67 1.54 1.22 0.89 0.72 0.79 1.04 1.31 1.46 1.44 1.35 1.35 1.54 1.87 2.18 2.22 1.86 1.17 0.34 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.34 1.17 1.86 2.22 2.18 1.87 1.54 1.35 1.35 1.44 1.46 1.31 1.04 0.79 0.72 0.89 1.22 1.54 1.67 35.0 + 37.5 1.37 1.23 0.90 0.55 0.39 0.50 0.80 1.13 1.35 1.42 1.44 1.57 1.89 2.34 2.70 2.72 2.27 1.43 0.48 0.00 0.00 0.00 0.00 0.02 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.02 0.00 0.00 0.00 0.00 0.48 1.43 2.27 2.72 2.70 2.34 1.89 1.57 1.44 1.42 1.35 1.13 0.80 0.50 0.39 0.55 0.90 1.23 1.37 1.23 0.90 0.55 0.39 0.50 0.80 1.13 1.35 1.42 1.44 1.57 1.89 2.34 2.70 2.72 2.27 1.43 0.48 0.00 0.00 0.00 0.00 0.02 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.02 0.00 0.00 0.00 0.00 0.48 1.43 2.27 2.72 2.70 2.34 1.89 1.57 1.44 1.42 1.35 1.13 0.80 0.50 0.39 0.55 0.90 1.23 1.37 37.5 + 40.0 1.24 1.09 0.72 0.34 0.15 0.26 0.58 0.95 1.23 1.38 1.51 1.78 2.25 2.82 3.24 3.27 2.76 1.84 0.82 0.04 0.00 0.00 0.18 0.46 0.49 0.29 0.00 0.00 0.00 0.03 0.31 0.50 0.51 0.35 0.11 0.00 0.00 0.00 0.11 0.35 0.51 0.50 0.31 0.03 0.00 0.00 0.00 0.29 0.49 0.46 0.18 0.00 0.00 0.04 0.82 1.84 2.76 3.27 3.24 2.82 2.25 1.78 1.51 1.38 1.23 0.95 0.58 0.26 0.15 0.34 0.72 1.09 1.24 1.09 0.72 0.34 0.15 0.26 0.58 0.95 1.23 1.38 1.51 1.78 2.25 2.82 3.24 3.27 2.76 1.84 0.82 0.04 0.00 0.00 0.18 0.46 0.49 0.29 0.00 0.00 0.00 0.03 0.31 0.50 0.51 0.35 0.11 0.00 0.00 0.00 0.11 0.35 0.51 0.50 0.31 0.03 0.00 0.00 0.00 0.29 0.49 0.46 0.18 0.00 0.00 0.04 0.82 1.84 2.76 3.27 3.24 2.82 2.25 1.78 1.51 1.38 1.23 0.95 0.58 0.26 0.15 0.34 0.72 1.09 1.24 40.0 + 42.5 1.23 1.06 0.66 0.24 0.02 0.11 0.44 0.83 1.15 1.36 1.57 1.93 2.51 3.17 3.67 3.71 3.18 2.23 1.17 0.37 0.07 0.23 0.61 0.92 0.98 0.78 0.49 0.31 0.35 0.58 0.86 1.03 1.01 0.81 0.52 0.27 0.18 0.27 0.52 0.81 1.01 1.03 0.86 0.58 0.35 0.31 0.49 0.78 0.98 0.92 0.61 0.23 0.07 0.37 1.17 2.23 3.18 3.71 3.67 3.17 2.51 1.93 1.57 1.36 1.15 0.83 0.44 0.11 0.02 0.24 0.66 1.06 1.23 1.06 0.66 0.24 0.02 0.11 0.44 0.83 1.15 1.36 1.57 1.93 2.51 3.17 3.67 3.71 3.18 2.23 1.17 0.37 0.07 0.23 0.61 0.92 0.98 0.78 0.49 0.31 0.35 0.58 0.86 1.03 1.01 0.81 0.52 0.27 0.18 0.27 0.52 0.81 1.01 1.03 0.86 0.58 0.35 0.31 0.49 0.78 0.98 0.92 0.61 0.23 0.07 0.37 1.17 2.23 3.18 3.71 3.67 3.17 2.51 1.93 1.57 1.36 1.15 0.83 0.44 0.11 0.02 0.24 0.66 1.06 1.23 42.5 + 45.0 1.23 1.06 0.65 0.21 0.00 0.06 0.39 0.79 1.11 1.35 1.59 1.99 2.61 3.31 3.82 3.88 3.35 2.38 1.31 0.52 0.22 0.40 0.80 1.12 1.18 0.98 0.70 0.52 0.56 0.80 1.08 1.26 1.22 1.00 0.69 0.44 0.34 0.44 0.69 1.00 1.22 1.26 1.08 0.80 0.56 0.52 0.70 0.98 1.18 1.12 0.80 0.40 0.22 0.52 1.31 2.38 3.35 3.88 3.82 3.31 2.61 1.99 1.59 1.35 1.11 0.79 0.39 0.06 0.00 0.21 0.65 1.06 1.23 1.06 0.65 0.21 0.00 0.06 0.39 0.79 1.11 1.35 1.59 1.99 2.61 3.31 3.82 3.88 3.35 2.38 1.31 0.52 0.22 0.40 0.80 1.12 1.18 0.98 0.70 0.52 0.56 0.80 1.08 1.26 1.22 1.00 0.69 0.44 0.34 0.44 0.69 1.00 1.22 1.26 1.08 0.80 0.56 0.52 0.70 0.98 1.18 1.12 0.80 0.40 0.22 0.52 1.31 2.38 3.35 3.88 3.82 3.31 2.61 1.99 1.59 1.35 1.11 0.79 0.39 0.06 0.00 0.21 0.65 1.06 1.23 45.0 + 47.5 1.23 1.06 0.66 0.24 0.02 0.11 0.44 0.83 1.15 1.36 1.57 1.93 2.51 3.17 3.67 3.71 3.18 2.23 1.17 0.37 0.07 0.23 0.61 0.92 0.98 0.78 0.49 0.31 0.35 0.58 0.86 1.03 1.01 0.81 0.52 0.27 0.18 0.27 0.52 0.81 1.01 1.03 0.86 0.58 0.35 0.31 0.49 0.78 0.98 0.92 0.61 0.23 0.07 0.37 1.17 2.23 3.18 3.71 3.67 3.17 2.51 1.93 1.57 1.36 1.15 0.83 0.44 0.11 0.02 0.24 0.66 1.06 1.23 1.06 0.66 0.24 0.02 0.11 0.44 0.83 1.15 1.36 1.57 1.93 2.51 3.17 3.67 3.71 3.18 2.23 1.17 0.37 0.07 0.23 0.61 0.92 0.98 0.78 0.49 0.31 0.35 0.58 0.86 1.03 1.01 0.81 0.52 0.27 0.18 0.27 0.52 0.81 1.01 1.03 0.86 0.58 0.35 0.31 0.49 0.78 0.98 0.92 0.61 0.23 0.07 0.37 1.17 2.23 3.18 3.71 3.67 3.17 2.51 1.93 1.57 1.36 1.15 0.83 0.44 0.11 0.02 0.24 0.66 1.06 1.23 47.5 + 50.0 1.24 1.09 0.72 0.34 0.15 0.26 0.58 0.95 1.23 1.38 1.51 1.78 2.25 2.82 3.24 3.27 2.76 1.84 0.82 0.04 0.00 0.00 0.18 0.46 0.49 0.29 0.00 0.00 0.00 0.03 0.31 0.50 0.51 0.35 0.11 0.00 0.00 0.00 0.11 0.35 0.51 0.50 0.31 0.03 0.00 0.00 0.00 0.29 0.49 0.46 0.18 0.00 0.00 0.04 0.82 1.84 2.76 3.27 3.24 2.82 2.25 1.78 1.51 1.38 1.23 0.95 0.58 0.26 0.15 0.34 0.72 1.09 1.24 1.09 0.72 0.34 0.15 0.26 0.58 0.95 1.23 1.38 1.51 1.78 2.25 2.82 3.24 3.27 2.76 1.84 0.82 0.04 0.00 0.00 0.18 0.46 0.49 0.29 0.00 0.00 0.00 0.03 0.31 0.50 0.51 0.35 0.11 0.00 0.00 0.00 0.11 0.35 0.51 0.50 0.31 0.03 0.00 0.00 0.00 0.29 0.49 0.46 0.18 0.00 0.00 0.04 0.82 1.84 2.76 3.27 3.24 2.82 2.25 1.78 1.51 1.38 1.23 0.95 0.58 0.26 0.15 0.34 0.72 1.09 1.24 50.0 + 52.5 1.37 1.23 0.90 0.55 0.39 0.50 0.80 1.13 1.35 1.42 1.44 1.57 1.89 2.34 2.70 2.72 2.27 1.43 0.48 0.00 0.00 0.00 0.00 0.02 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.02 0.00 0.00 0.00 0.00 0.48 1.43 2.27 2.72 2.70 2.34 1.89 1.57 1.44 1.42 1.35 1.13 0.80 0.50 0.39 0.55 0.90 1.23 1.37 1.23 0.90 0.55 0.39 0.50 0.80 1.13 1.35 1.42 1.44 1.57 1.89 2.34 2.70 2.72 2.27 1.43 0.48 0.00 0.00 0.00 0.00 0.02 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.02 0.00 0.00 0.00 0.00 0.48 1.43 2.27 2.72 2.70 2.34 1.89 1.57 1.44 1.42 1.35 1.13 0.80 0.50 0.39 0.55 0.90 1.23 1.37 52.5 + 55.0 1.67 1.54 1.22 0.89 0.72 0.79 1.04 1.31 1.46 1.44 1.35 1.35 1.54 1.87 2.18 2.22 1.86 1.17 0.34 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.34 1.17 1.86 2.22 2.18 1.87 1.54 1.35 1.35 1.44 1.46 1.31 1.04 0.79 0.72 0.89 1.22 1.54 1.67 1.54 1.22 0.89 0.72 0.79 1.04 1.31 1.46 1.44 1.35 1.35 1.54 1.87 2.18 2.22 1.86 1.17 0.34 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.34 1.17 1.86 2.22 2.18 1.87 1.54 1.35 1.35 1.44 1.46 1.31 1.04 0.79 0.72 0.89 1.22 1.54 1.67 55.0 + 57.5 2.08 1.95 1.63 1.28 1.07 1.07 1.24 1.43 1.51 1.43 1.26 1.15 1.23 1.48 1.75 1.85 1.63 1.10 0.44 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.44 1.10 1.63 1.85 1.75 1.48 1.23 1.15 1.26 1.43 1.51 1.43 1.24 1.07 1.07 1.28 1.63 1.95 2.08 1.95 1.63 1.28 1.07 1.07 1.24 1.43 1.51 1.43 1.26 1.15 1.23 1.48 1.75 1.85 1.63 1.10 0.44 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.44 1.10 1.63 1.85 1.75 1.48 1.23 1.15 1.26 1.43 1.51 1.43 1.24 1.07 1.07 1.28 1.63 1.95 2.08 57.5 + 60.0 2.47 2.33 1.99 1.60 1.32 1.24 1.33 1.45 1.47 1.35 1.13 0.96 0.97 1.15 1.42 1.58 1.49 1.13 0.64 0.22 0.04 0.14 0.39 0.61 0.63 0.43 0.11 0.00 0.00 0.00 0.07 0.34 0.55 0.63 0.62 0.58 0.55 0.58 0.62 0.63 0.55 0.34 0.07 0.00 0.00 0.00 0.11 0.43 0.63 0.61 0.39 0.14 0.04 0.22 0.64 1.13 1.49 1.58 1.42 1.15 0.97 0.96 1.13 1.35 1.47 1.45 1.33 1.24 1.32 1.60 1.99 2.33 2.47 2.33 1.99 1.60 1.32 1.24 1.33 1.45 1.47 1.35 1.13 0.96 0.97 1.15 1.42 1.58 1.49 1.13 0.64 0.22 0.04 0.14 0.39 0.61 0.63 0.43 0.11 0.00 0.00 0.00 0.07 0.34 0.55 0.63 0.62 0.58 0.55 0.58 0.62 0.63 0.55 0.34 0.07 0.00 0.00 0.00 0.11 0.43 0.63 0.61 0.39 0.14 0.04 0.22 0.64 1.13 1.49 1.58 1.42 1.15 0.97 0.96 1.13 1.35 1.47 1.45 1.33 1.24 1.32 1.60 1.99 2.33 2.47 60.0 + 62.5 2.67 2.53 2.17 1.74 1.40 1.24 1.26 1.33 1.33 1.20 0.97 0.77 0.72 0.87 1.12 1.32 1.33 1.09 0.73 0.42 0.31 0.45 0.74 0.99 1.05 0.89 0.58 0.29 0.17 0.25 0.50 0.79 1.02 1.14 1.15 1.11 1.09 1.11 1.15 1.14 1.02 0.79 0.50 0.25 0.17 0.29 0.58 0.89 1.05 0.99 0.74 0.45 0.31 0.42 0.73 1.09 1.33 1.32 1.12 0.87 0.72 0.77 0.97 1.20 1.33 1.33 1.26 1.24 1.40 1.74 2.17 2.53 2.67 2.53 2.17 1.74 1.40 1.24 1.26 1.33 1.33 1.20 0.97 0.77 0.72 0.87 1.12 1.32 1.33 1.09 0.73 0.42 0.31 0.45 0.74 0.99 1.05 0.89 0.58 0.29 0.17 0.25 0.50 0.79 1.02 1.14 1.15 1.11 1.09 1.11 1.15 1.14 1.02 0.79 0.50 0.25 0.17 0.29 0.58 0.89 1.05 0.99 0.74 0.45 0.31 0.42 0.73 1.09 1.33 1.32 1.12 0.87 0.72 0.77 0.97 1.20 1.33 1.33 1.26 1.24 1.40 1.74 2.17 2.53 2.67 62.5 + 65.0 2.64 2.50 2.12 1.67 1.28 1.08 1.05 1.09 1.09 0.97 0.76 0.55 0.47 0.57 0.80 1.00 1.04 0.87 0.58 0.33 0.27 0.44 0.76 1.06 1.17 1.04 0.77 0.49 0.36 0.44 0.68 0.99 1.23 1.36 1.38 1.34 1.32 1.34 1.38 1.36 1.23 0.99 0.68 0.44 0.36 0.49 0.77 1.04 1.17 1.06 0.76 0.44 0.27 0.33 0.58 0.87 1.04 1.00 0.80 0.57 0.47 0.55 0.76 0.97 1.09 1.09 1.05 1.08 1.28 1.67 2.12 2.50 2.64 2.50 2.12 1.67 1.28 1.08 1.05 1.09 1.09 0.97 0.76 0.55 0.47 0.57 0.80 1.00 1.04 0.87 0.58 0.33 0.27 0.44 0.76 1.06 1.17 1.04 0.77 0.49 0.36 0.44 0.68 0.99 1.23 1.36 1.38 1.34 1.32 1.34 1.38 1.36 1.23 0.99 0.68 0.44 0.36 0.49 0.77 1.04 1.17 1.06 0.76 0.44 0.27 0.33 0.58 0.87 1.04 1.00 0.80 0.57 0.47 0.55 0.76 0.97 1.09 1.09 1.05 1.08 1.28 1.67 2.12 2.50 2.64 65.0 + 67.5 2.42 2.28 1.91 1.45 1.05 0.82 0.77 0.80 0.81 0.71 0.52 0.31 0.22 0.28 0.45 0.62 0.65 0.49 0.21 0.00 0.00 0.12 0.46 0.78 0.93 0.85 0.61 0.34 0.22 0.30 0.55 0.86 1.12 1.25 1.28 1.24 1.22 1.24 1.28 1.25 1.12 0.86 0.55 0.30 0.22 0.34 0.61 0.85 0.93 0.78 0.46 0.12 0.00 0.00 0.21 0.49 0.65 0.62 0.45 0.28 0.22 0.31 0.52 0.71 0.81 0.80 0.77 0.82 1.05 1.45 1.91 2.28 2.42 2.28 1.91 1.45 1.05 0.82 0.77 0.80 0.81 0.71 0.52 0.31 0.22 0.28 0.45 0.62 0.65 0.49 0.21 0.00 0.00 0.12 0.46 0.78 0.93 0.85 0.61 0.34 0.22 0.30 0.55 0.86 1.12 1.25 1.28 1.24 1.22 1.24 1.28 1.25 1.12 0.86 0.55 0.30 0.22 0.34 0.61 0.85 0.93 0.78 0.46 0.12 0.00 0.00 0.21 0.49 0.65 0.62 0.45 0.28 0.22 0.31 0.52 0.71 0.81 0.80 0.77 0.82 1.05 1.45 1.91 2.28 2.42 67.5 + 70.0 2.19 2.05 1.69 1.24 0.84 0.59 0.52 0.54 0.55 0.46 0.28 0.09 0.00 0.02 0.15 0.27 0.26 0.08 0.00 0.00 0.00 0.00 0.01 0.34 0.51 0.46 0.24 0.00 0.00 0.00 0.22 0.53 0.80 0.95 0.99 0.97 0.96 0.97 0.99 0.95 0.80 0.53 0.22 0.00 0.00 0.00 0.24 0.46 0.51 0.34 0.01 0.00 0.00 0.00 0.00 0.08 0.26 0.27 0.15 0.02 0.00 0.09 0.28 0.46 0.55 0.54 0.52 0.59 0.84 1.24 1.69 2.05 2.19 2.05 1.69 1.24 0.84 0.59 0.52 0.54 0.55 0.46 0.28 0.09 0.00 0.02 0.15 0.27 0.26 0.08 0.00 0.00 0.00 0.00 0.01 0.34 0.51 0.46 0.24 0.00 0.00 0.00 0.22 0.53 0.80 0.95 0.99 0.97 0.96 0.97 0.99 0.95 0.80 0.53 0.22 0.00 0.00 0.00 0.24 0.46 0.51 0.34 0.01 0.00 0.00 0.00 0.00 0.08 0.26 0.27 0.15 0.02 0.00 0.09 0.28 0.46 0.55 0.54 0.52 0.59 0.84 1.24 1.69 2.05 2.19 70.0 + 72.5 2.10 1.96 1.61 1.17 0.76 0.50 0.39 0.37 0.35 0.26 0.09 0.00 0.00 0.00 0.00 0.05 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.10 0.00 0.00 0.00 0.00 0.00 0.24 0.53 0.70 0.77 0.78 0.77 0.78 0.77 0.70 0.53 0.24 0.00 0.00 0.00 0.00 0.00 0.10 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.05 0.00 0.00 0.00 0.00 0.09 0.26 0.35 0.37 0.39 0.50 0.76 1.17 1.61 1.96 2.10 1.96 1.61 1.17 0.76 0.50 0.39 0.37 0.35 0.26 0.09 0.00 0.00 0.00 0.00 0.05 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.10 0.00 0.00 0.00 0.00 0.00 0.24 0.53 0.70 0.77 0.78 0.77 0.78 0.77 0.70 0.53 0.24 0.00 0.00 0.00 0.00 0.00 0.10 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.05 0.00 0.00 0.00 0.00 0.09 0.26 0.35 0.37 0.39 0.50 0.76 1.17 1.61 1.96 2.10 72.5 + 75.0 2.19 2.07 1.73 1.29 0.87 0.58 0.42 0.34 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.47 0.68 0.79 0.83 0.84 0.83 0.79 0.68 0.47 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.34 0.42 0.58 0.87 1.29 1.73 2.07 2.19 2.07 1.73 1.29 0.87 0.58 0.42 0.34 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.47 0.68 0.79 0.83 0.84 0.83 0.79 0.68 0.47 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.34 0.42 0.58 0.87 1.29 1.73 2.07 2.19 75.0 + 77.5 2.40 2.28 1.96 1.53 1.11 0.78 0.56 0.41 0.28 0.13 0.00 0.00 0.00 0.00 0.02 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.03 0.34 0.65 0.89 1.05 1.13 1.15 1.13 1.05 0.89 0.65 0.34 0.03 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.02 0.00 0.00 0.00 0.00 0.13 0.28 0.41 0.56 0.78 1.11 1.53 1.96 2.28 2.40 2.28 1.96 1.53 1.11 0.78 0.56 0.41 0.28 0.13 0.00 0.00 0.00 0.00 0.02 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.03 0.34 0.65 0.89 1.05 1.13 1.15 1.13 1.05 0.89 0.65 0.34 0.03 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.02 0.00 0.00 0.00 0.00 0.13 0.28 0.41 0.56 0.78 1.11 1.53 1.96 2.28 2.40 77.5 + 80.0 2.57 2.46 2.17 1.77 1.36 1.02 0.76 0.55 0.37 0.19 0.05 0.00 0.00 0.06 0.15 0.17 0.08 0.00 0.00 0.00 0.00 0.00 0.13 0.29 0.33 0.25 0.11 0.01 0.00 0.13 0.37 0.67 0.97 1.23 1.42 1.53 1.57 1.53 1.42 1.23 0.97 0.67 0.37 0.13 0.00 0.01 0.11 0.25 0.33 0.29 0.13 0.00 0.00 0.00 0.00 0.00 0.08 0.17 0.15 0.06 0.00 0.00 0.05 0.19 0.37 0.55 0.76 1.02 1.36 1.77 2.17 2.46 2.57 2.46 2.17 1.77 1.36 1.02 0.76 0.55 0.37 0.19 0.05 0.00 0.00 0.06 0.15 0.17 0.08 0.00 0.00 0.00 0.00 0.00 0.13 0.29 0.33 0.25 0.11 0.01 0.00 0.13 0.37 0.67 0.97 1.23 1.42 1.53 1.57 1.53 1.42 1.23 0.97 0.67 0.37 0.13 0.00 0.01 0.11 0.25 0.33 0.29 0.13 0.00 0.00 0.00 0.00 0.00 0.08 0.17 0.15 0.06 0.00 0.00 0.05 0.19 0.37 0.55 0.76 1.02 1.36 1.77 2.17 2.46 2.57 80.0 + 82.5 2.60 2.50 2.24 1.89 1.53 1.20 0.93 0.70 0.49 0.31 0.17 0.12 0.14 0.20 0.23 0.19 0.08 0.00 0.00 0.00 0.00 0.11 0.31 0.44 0.46 0.40 0.32 0.28 0.33 0.49 0.72 0.99 1.27 1.53 1.75 1.88 1.93 1.88 1.75 1.53 1.27 0.99 0.72 0.49 0.33 0.28 0.32 0.40 0.46 0.44 0.31 0.11 0.00 0.00 0.00 0.00 0.08 0.19 0.23 0.20 0.14 0.12 0.17 0.31 0.49 0.70 0.93 1.20 1.53 1.89 2.24 2.50 2.60 2.50 2.24 1.89 1.53 1.20 0.93 0.70 0.49 0.31 0.17 0.12 0.14 0.20 0.23 0.19 0.08 0.00 0.00 0.00 0.00 0.11 0.31 0.44 0.46 0.40 0.32 0.28 0.33 0.49 0.72 0.99 1.27 1.53 1.75 1.88 1.93 1.88 1.75 1.53 1.27 0.99 0.72 0.49 0.33 0.28 0.32 0.40 0.46 0.44 0.31 0.11 0.00 0.00 0.00 0.00 0.08 0.19 0.23 0.20 0.14 0.12 0.17 0.31 0.49 0.70 0.93 1.20 1.53 1.89 2.24 2.50 2.60 82.5 + 85.0 2.47 2.40 2.18 1.89 1.58 1.30 1.05 0.82 0.60 0.42 0.30 0.26 0.27 0.29 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.45 0.48 0.44 0.42 0.46 0.56 0.74 0.96 1.21 1.46 1.71 1.94 2.09 2.14 2.09 1.94 1.71 1.46 1.21 0.96 0.74 0.56 0.46 0.42 0.44 0.48 0.45 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.29 0.27 0.26 0.30 0.42 0.60 0.82 1.05 1.30 1.58 1.89 2.18 2.40 2.47 2.40 2.18 1.89 1.58 1.30 1.05 0.82 0.60 0.42 0.30 0.26 0.27 0.29 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.45 0.48 0.44 0.42 0.46 0.56 0.74 0.96 1.21 1.46 1.71 1.94 2.09 2.14 2.09 1.94 1.71 1.46 1.21 0.96 0.74 0.56 0.46 0.42 0.44 0.48 0.45 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.29 0.27 0.26 0.30 0.42 0.60 0.82 1.05 1.30 1.58 1.89 2.18 2.40 2.47 85.0 + 87.5 2.31 2.24 2.07 1.83 1.57 1.33 1.10 0.89 0.68 0.51 0.40 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.38 0.41 0.41 0.44 0.53 0.68 0.87 1.08 1.31 1.54 1.78 2.00 2.16 2.22 2.16 2.00 1.78 1.54 1.31 1.08 0.87 0.68 0.53 0.44 0.41 0.41 0.38 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.40 0.51 0.68 0.89 1.10 1.33 1.57 1.83 2.07 2.24 2.31 2.24 2.07 1.83 1.57 1.33 1.10 0.89 0.68 0.51 0.40 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.38 0.41 0.41 0.44 0.53 0.68 0.87 1.08 1.31 1.54 1.78 2.00 2.16 2.22 2.16 2.00 1.78 1.54 1.31 1.08 0.87 0.68 0.53 0.44 0.41 0.41 0.38 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.40 0.51 0.68 0.89 1.10 1.33 1.57 1.83 2.07 2.24 2.31 87.5 + 90.0 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 90.0 + + 2.5 DEGREE - PHI2-SECTION ( FMAX ABS = 4.09 FMAX-I = 4.09 ) PHI2 = 3. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 0.0 + 2.5 2.24 2.07 1.82 1.57 1.33 1.10 0.88 0.68 0.51 0.39 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.07 0.27 0.38 0.41 0.41 0.43 0.52 0.67 0.87 1.08 1.30 1.54 1.78 2.00 2.16 2.22 2.17 2.01 1.79 1.55 1.31 1.09 0.88 0.68 0.53 0.44 0.41 0.41 0.38 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.40 0.51 0.68 0.89 1.11 1.33 1.58 1.83 2.07 2.25 2.31 2.24 2.07 1.82 1.57 1.33 1.10 0.88 0.68 0.51 0.39 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.07 0.27 0.38 0.41 0.41 0.43 0.52 0.67 0.87 1.08 1.30 1.54 1.78 2.00 2.16 2.22 2.17 2.01 1.79 1.55 1.31 1.09 0.88 0.68 0.53 0.44 0.41 0.41 0.38 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.40 0.51 0.68 0.89 1.11 1.33 1.58 1.83 2.07 2.25 2.31 2.24 2.5 + 5.0 2.39 2.17 1.88 1.57 1.28 1.03 0.80 0.59 0.41 0.29 0.25 0.26 0.29 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.46 0.48 0.44 0.41 0.45 0.55 0.73 0.95 1.19 1.45 1.70 1.93 2.08 2.15 2.10 1.95 1.73 1.48 1.22 0.98 0.75 0.58 0.47 0.43 0.45 0.48 0.45 0.33 0.13 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.29 0.27 0.26 0.31 0.44 0.62 0.83 1.07 1.32 1.60 1.91 2.19 2.40 2.47 2.39 2.17 1.88 1.57 1.28 1.03 0.80 0.59 0.41 0.29 0.25 0.26 0.29 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.46 0.48 0.44 0.41 0.45 0.55 0.73 0.95 1.19 1.45 1.70 1.93 2.08 2.15 2.10 1.95 1.73 1.48 1.22 0.98 0.75 0.58 0.47 0.43 0.45 0.48 0.45 0.33 0.13 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.29 0.27 0.26 0.31 0.44 0.62 0.83 1.07 1.32 1.60 1.91 2.19 2.40 2.47 2.39 5.0 + 7.5 2.49 2.22 1.86 1.49 1.16 0.89 0.66 0.45 0.27 0.15 0.10 0.12 0.19 0.23 0.20 0.08 0.00 0.00 0.00 0.00 0.12 0.32 0.45 0.46 0.40 0.31 0.27 0.32 0.47 0.70 0.97 1.25 1.51 1.73 1.88 1.94 1.90 1.77 1.56 1.30 1.02 0.74 0.51 0.36 0.30 0.33 0.41 0.47 0.44 0.31 0.11 0.00 0.00 0.00 0.00 0.08 0.20 0.24 0.21 0.16 0.14 0.21 0.34 0.53 0.74 0.97 1.25 1.57 1.93 2.27 2.52 2.60 2.49 2.22 1.86 1.49 1.16 0.89 0.66 0.45 0.27 0.15 0.10 0.12 0.19 0.23 0.20 0.08 0.00 0.00 0.00 0.00 0.12 0.32 0.45 0.46 0.40 0.31 0.27 0.32 0.47 0.70 0.97 1.25 1.51 1.73 1.88 1.94 1.90 1.77 1.56 1.30 1.02 0.74 0.51 0.36 0.30 0.33 0.41 0.47 0.44 0.31 0.11 0.00 0.00 0.00 0.00 0.08 0.20 0.24 0.21 0.16 0.14 0.21 0.34 0.53 0.74 0.97 1.25 1.57 1.93 2.27 2.52 2.60 2.49 7.5 + 10.0 2.44 2.12 1.71 1.30 0.95 0.69 0.48 0.30 0.13 0.00 0.00 0.00 0.04 0.13 0.15 0.08 0.00 0.00 0.00 0.00 0.00 0.13 0.29 0.32 0.24 0.10 0.00 0.00 0.11 0.35 0.64 0.94 1.20 1.40 1.53 1.58 1.55 1.45 1.26 1.01 0.70 0.40 0.16 0.03 0.03 0.13 0.26 0.34 0.30 0.14 0.00 0.00 0.00 0.00 0.00 0.11 0.19 0.18 0.10 0.04 0.03 0.12 0.27 0.44 0.63 0.84 1.10 1.43 1.83 2.21 2.49 2.58 2.44 2.12 1.71 1.30 0.95 0.69 0.48 0.30 0.13 0.00 0.00 0.00 0.04 0.13 0.15 0.08 0.00 0.00 0.00 0.00 0.00 0.13 0.29 0.32 0.24 0.10 0.00 0.00 0.11 0.35 0.64 0.94 1.20 1.40 1.53 1.58 1.55 1.45 1.26 1.01 0.70 0.40 0.16 0.03 0.03 0.13 0.26 0.34 0.30 0.14 0.00 0.00 0.00 0.00 0.00 0.11 0.19 0.18 0.10 0.04 0.03 0.12 0.27 0.44 0.63 0.84 1.10 1.43 1.83 2.21 2.49 2.58 2.44 10.0 + 12.5 2.25 1.90 1.45 1.02 0.68 0.46 0.31 0.18 0.04 0.00 0.00 0.00 0.00 0.00 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.12 0.04 0.00 0.00 0.00 0.00 0.01 0.32 0.63 0.87 1.03 1.12 1.16 1.15 1.08 0.93 0.69 0.38 0.06 0.00 0.00 0.00 0.00 0.08 0.15 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.13 0.09 0.00 0.00 0.00 0.08 0.24 0.40 0.53 0.68 0.90 1.22 1.62 2.02 2.32 2.40 2.25 1.90 1.45 1.02 0.68 0.46 0.31 0.18 0.04 0.00 0.00 0.00 0.00 0.00 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.12 0.04 0.00 0.00 0.00 0.00 0.01 0.32 0.63 0.87 1.03 1.12 1.16 1.15 1.08 0.93 0.69 0.38 0.06 0.00 0.00 0.00 0.00 0.08 0.15 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.13 0.09 0.00 0.00 0.00 0.08 0.24 0.40 0.53 0.68 0.90 1.22 1.62 2.02 2.32 2.40 2.25 12.5 + 15.0 2.03 1.66 1.19 0.76 0.45 0.28 0.19 0.13 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.45 0.66 0.77 0.82 0.85 0.85 0.82 0.71 0.50 0.20 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.09 0.04 0.00 0.00 0.00 0.13 0.30 0.42 0.50 0.58 0.73 1.01 1.40 1.80 2.11 2.19 2.03 1.66 1.19 0.76 0.45 0.28 0.19 0.13 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.45 0.66 0.77 0.82 0.85 0.85 0.82 0.71 0.50 0.20 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.09 0.04 0.00 0.00 0.00 0.13 0.30 0.42 0.50 0.58 0.73 1.01 1.40 1.80 2.11 2.19 2.03 15.0 + 17.5 1.92 1.54 1.06 0.63 0.34 0.22 0.20 0.19 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.09 0.00 0.00 0.00 0.00 0.00 0.23 0.51 0.68 0.76 0.77 0.78 0.80 0.80 0.74 0.56 0.28 0.00 0.00 0.00 0.00 0.00 0.13 0.19 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.14 0.08 0.00 0.00 0.06 0.25 0.43 0.54 0.57 0.58 0.68 0.91 1.28 1.69 2.00 2.09 1.92 1.54 1.06 0.63 0.34 0.22 0.20 0.19 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.09 0.00 0.00 0.00 0.00 0.00 0.23 0.51 0.68 0.76 0.77 0.78 0.80 0.80 0.74 0.56 0.28 0.00 0.00 0.00 0.00 0.00 0.13 0.19 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.14 0.08 0.00 0.00 0.06 0.25 0.43 0.54 0.57 0.58 0.68 0.91 1.28 1.69 2.00 2.09 1.92 17.5 + 20.0 2.01 1.61 1.12 0.69 0.42 0.33 0.35 0.36 0.30 0.15 0.00 0.00 0.00 0.10 0.23 0.24 0.07 0.00 0.00 0.00 0.00 0.00 0.32 0.50 0.46 0.25 0.01 0.00 0.00 0.20 0.51 0.78 0.93 0.98 0.97 0.96 0.99 1.02 0.98 0.83 0.56 0.24 0.00 0.00 0.00 0.24 0.46 0.53 0.37 0.05 0.00 0.00 0.00 0.00 0.10 0.30 0.34 0.24 0.12 0.10 0.22 0.43 0.63 0.74 0.75 0.72 0.78 0.99 1.34 1.76 2.08 2.18 2.01 1.61 1.12 0.69 0.42 0.33 0.35 0.36 0.30 0.15 0.00 0.00 0.00 0.10 0.23 0.24 0.07 0.00 0.00 0.00 0.00 0.00 0.32 0.50 0.46 0.25 0.01 0.00 0.00 0.20 0.51 0.78 0.93 0.98 0.97 0.96 0.99 1.02 0.98 0.83 0.56 0.24 0.00 0.00 0.00 0.24 0.46 0.53 0.37 0.05 0.00 0.00 0.00 0.00 0.10 0.30 0.34 0.24 0.12 0.10 0.22 0.43 0.63 0.74 0.75 0.72 0.78 0.99 1.34 1.76 2.08 2.18 2.01 20.0 + 22.5 2.23 1.84 1.34 0.90 0.64 0.56 0.60 0.63 0.57 0.41 0.23 0.15 0.23 0.42 0.61 0.67 0.53 0.26 0.02 0.00 0.12 0.45 0.78 0.95 0.88 0.64 0.38 0.24 0.30 0.53 0.83 1.09 1.23 1.26 1.24 1.23 1.26 1.29 1.28 1.14 0.89 0.57 0.31 0.21 0.32 0.57 0.82 0.91 0.78 0.46 0.12 0.00 0.00 0.18 0.46 0.64 0.64 0.50 0.34 0.30 0.41 0.64 0.86 0.99 1.01 0.97 1.00 1.19 1.54 1.95 2.28 2.40 2.23 1.84 1.34 0.90 0.64 0.56 0.60 0.63 0.57 0.41 0.23 0.15 0.23 0.42 0.61 0.67 0.53 0.26 0.02 0.00 0.12 0.45 0.78 0.95 0.88 0.64 0.38 0.24 0.30 0.53 0.83 1.09 1.23 1.26 1.24 1.23 1.26 1.29 1.28 1.14 0.89 0.57 0.31 0.21 0.32 0.57 0.82 0.91 0.78 0.46 0.12 0.00 0.00 0.18 0.46 0.64 0.64 0.50 0.34 0.30 0.41 0.64 0.86 0.99 1.01 0.97 1.00 1.19 1.54 1.95 2.28 2.40 2.23 22.5 + 25.0 2.45 2.06 1.57 1.15 0.90 0.85 0.90 0.93 0.86 0.68 0.50 0.43 0.54 0.79 1.02 1.10 0.97 0.69 0.42 0.33 0.48 0.79 1.09 1.22 1.12 0.84 0.55 0.39 0.45 0.67 0.96 1.21 1.34 1.37 1.34 1.33 1.35 1.39 1.38 1.26 1.01 0.70 0.44 0.33 0.43 0.69 0.97 1.11 1.02 0.74 0.41 0.22 0.25 0.49 0.79 0.99 0.99 0.83 0.63 0.53 0.62 0.85 1.10 1.25 1.28 1.24 1.25 1.40 1.73 2.14 2.48 2.61 2.45 2.06 1.57 1.15 0.90 0.85 0.90 0.93 0.86 0.68 0.50 0.43 0.54 0.79 1.02 1.10 0.97 0.69 0.42 0.33 0.48 0.79 1.09 1.22 1.12 0.84 0.55 0.39 0.45 0.67 0.96 1.21 1.34 1.37 1.34 1.33 1.35 1.39 1.38 1.26 1.01 0.70 0.44 0.33 0.43 0.69 0.97 1.11 1.02 0.74 0.41 0.22 0.25 0.49 0.79 0.99 0.99 0.83 0.63 0.53 0.62 0.85 1.10 1.25 1.28 1.24 1.25 1.40 1.73 2.14 2.48 2.61 2.45 25.0 + 27.5 2.51 2.14 1.67 1.29 1.08 1.07 1.15 1.19 1.11 0.92 0.74 0.69 0.83 1.10 1.34 1.40 1.21 0.87 0.54 0.40 0.51 0.78 1.05 1.13 0.99 0.69 0.38 0.22 0.27 0.49 0.77 1.01 1.13 1.15 1.12 1.10 1.12 1.15 1.15 1.05 0.82 0.53 0.26 0.14 0.23 0.49 0.79 0.98 0.94 0.71 0.42 0.26 0.33 0.63 1.01 1.28 1.33 1.18 0.95 0.81 0.85 1.05 1.30 1.47 1.50 1.44 1.40 1.50 1.78 2.17 2.50 2.64 2.51 2.14 1.67 1.29 1.08 1.07 1.15 1.19 1.11 0.92 0.74 0.69 0.83 1.10 1.34 1.40 1.21 0.87 0.54 0.40 0.51 0.78 1.05 1.13 0.99 0.69 0.38 0.22 0.27 0.49 0.77 1.01 1.13 1.15 1.12 1.10 1.12 1.15 1.15 1.05 0.82 0.53 0.26 0.14 0.23 0.49 0.79 0.98 0.94 0.71 0.42 0.26 0.33 0.63 1.01 1.28 1.33 1.18 0.95 0.81 0.85 1.05 1.30 1.47 1.50 1.44 1.40 1.50 1.78 2.17 2.50 2.64 2.51 27.5 + 30.0 2.33 1.99 1.57 1.24 1.11 1.17 1.30 1.37 1.29 1.10 0.92 0.90 1.06 1.34 1.55 1.53 1.23 0.77 0.34 0.12 0.18 0.42 0.65 0.71 0.54 0.23 0.00 0.00 0.00 0.05 0.32 0.53 0.63 0.64 0.59 0.57 0.59 0.63 0.65 0.59 0.40 0.13 0.00 0.00 0.00 0.04 0.36 0.58 0.60 0.42 0.17 0.04 0.18 0.58 1.09 1.51 1.67 1.57 1.32 1.12 1.09 1.23 1.46 1.61 1.62 1.51 1.39 1.42 1.63 1.97 2.30 2.44 2.33 1.99 1.57 1.24 1.11 1.17 1.30 1.37 1.29 1.10 0.92 0.90 1.06 1.34 1.55 1.53 1.23 0.77 0.34 0.12 0.18 0.42 0.65 0.71 0.54 0.23 0.00 0.00 0.00 0.05 0.32 0.53 0.63 0.64 0.59 0.57 0.59 0.63 0.65 0.59 0.40 0.13 0.00 0.00 0.00 0.04 0.36 0.58 0.60 0.42 0.17 0.04 0.18 0.58 1.09 1.51 1.67 1.57 1.32 1.12 1.09 1.23 1.46 1.61 1.62 1.51 1.39 1.42 1.63 1.97 2.30 2.44 2.33 30.0 + 32.5 1.98 1.67 1.30 1.03 0.98 1.12 1.32 1.44 1.39 1.22 1.08 1.09 1.30 1.58 1.73 1.60 1.15 0.52 0.00 0.00 0.00 0.00 0.13 0.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.09 0.07 0.00 0.00 0.00 0.07 0.13 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.23 0.08 0.00 0.00 0.00 0.47 1.15 1.75 2.06 2.03 1.78 1.50 1.36 1.41 1.56 1.66 1.61 1.42 1.22 1.15 1.30 1.60 1.92 2.08 1.98 1.67 1.30 1.03 0.98 1.12 1.32 1.44 1.39 1.22 1.08 1.09 1.30 1.58 1.73 1.60 1.15 0.52 0.00 0.00 0.00 0.00 0.13 0.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.09 0.07 0.00 0.00 0.00 0.07 0.13 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.23 0.08 0.00 0.00 0.00 0.47 1.15 1.75 2.06 2.03 1.78 1.50 1.36 1.41 1.56 1.66 1.61 1.42 1.22 1.15 1.30 1.60 1.92 2.08 1.98 32.5 + 35.0 1.61 1.32 0.96 0.74 0.74 0.96 1.23 1.41 1.41 1.30 1.23 1.32 1.59 1.89 2.00 1.76 1.15 0.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.09 0.00 0.00 0.00 0.00 0.48 1.32 2.09 2.55 2.59 2.31 1.93 1.66 1.58 1.61 1.63 1.50 1.23 0.95 0.81 0.90 1.19 1.52 1.69 1.61 1.32 0.96 0.74 0.74 0.96 1.23 1.41 1.41 1.30 1.23 1.32 1.59 1.89 2.00 1.76 1.15 0.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.09 0.00 0.00 0.00 0.00 0.48 1.32 2.09 2.55 2.59 2.31 1.93 1.66 1.58 1.61 1.63 1.50 1.23 0.95 0.81 0.90 1.19 1.52 1.69 1.61 35.0 + 37.5 1.36 1.06 0.69 0.47 0.50 0.75 1.08 1.32 1.39 1.37 1.40 1.61 1.98 2.34 2.44 2.12 1.39 0.47 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.23 0.30 0.14 0.00 0.00 0.00 0.68 1.64 2.55 3.12 3.20 2.88 2.38 1.96 1.72 1.63 1.54 1.34 1.00 0.67 0.49 0.57 0.88 1.23 1.43 1.36 1.06 0.69 0.47 0.50 0.75 1.08 1.32 1.39 1.37 1.40 1.61 1.98 2.34 2.44 2.12 1.39 0.47 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.23 0.30 0.14 0.00 0.00 0.00 0.68 1.64 2.55 3.12 3.20 2.88 2.38 1.96 1.72 1.63 1.54 1.34 1.00 0.67 0.49 0.57 0.88 1.23 1.43 1.36 37.5 + 40.0 1.26 0.93 0.53 0.28 0.30 0.57 0.93 1.22 1.37 1.44 1.60 1.95 2.45 2.90 3.02 2.66 1.85 0.85 0.01 0.00 0.00 0.00 0.24 0.36 0.22 0.00 0.00 0.00 0.00 0.12 0.36 0.45 0.36 0.16 0.00 0.00 0.00 0.13 0.40 0.61 0.67 0.54 0.29 0.06 0.00 0.13 0.43 0.69 0.75 0.55 0.24 0.07 0.29 0.99 2.00 3.00 3.63 3.73 3.36 2.76 2.19 1.82 1.62 1.45 1.18 0.80 0.44 0.26 0.36 0.71 1.10 1.33 1.26 0.93 0.53 0.28 0.30 0.57 0.93 1.22 1.37 1.44 1.60 1.95 2.45 2.90 3.02 2.66 1.85 0.85 0.01 0.00 0.00 0.00 0.24 0.36 0.22 0.00 0.00 0.00 0.00 0.12 0.36 0.45 0.36 0.16 0.00 0.00 0.00 0.13 0.40 0.61 0.67 0.54 0.29 0.06 0.00 0.13 0.43 0.69 0.75 0.55 0.24 0.07 0.29 0.99 2.00 3.00 3.63 3.73 3.36 2.76 2.19 1.82 1.62 1.45 1.18 0.80 0.44 0.26 0.36 0.71 1.10 1.33 1.26 40.0 + 42.5 1.27 0.92 0.48 0.19 0.18 0.45 0.83 1.16 1.37 1.53 1.80 2.27 2.89 3.43 3.60 3.24 2.39 1.34 0.47 0.03 0.07 0.42 0.77 0.90 0.76 0.48 0.26 0.23 0.42 0.71 0.94 1.00 0.87 0.62 0.37 0.25 0.31 0.53 0.82 1.07 1.16 1.04 0.78 0.53 0.43 0.56 0.85 1.10 1.15 0.92 0.56 0.34 0.52 1.21 2.24 3.26 3.93 4.03 3.62 2.95 2.30 1.85 1.58 1.36 1.06 0.67 0.31 0.14 0.27 0.66 1.09 1.34 1.27 0.92 0.48 0.19 0.18 0.45 0.83 1.16 1.37 1.53 1.80 2.27 2.89 3.43 3.60 3.24 2.39 1.34 0.47 0.03 0.07 0.42 0.77 0.90 0.76 0.48 0.26 0.23 0.42 0.71 0.94 1.00 0.87 0.62 0.37 0.25 0.31 0.53 0.82 1.07 1.16 1.04 0.78 0.53 0.43 0.56 0.85 1.10 1.15 0.92 0.56 0.34 0.52 1.21 2.24 3.26 3.93 4.03 3.62 2.95 2.30 1.85 1.58 1.36 1.06 0.67 0.31 0.14 0.27 0.66 1.09 1.34 1.27 42.5 + 45.0 1.29 0.93 0.48 0.17 0.15 0.41 0.80 1.15 1.40 1.62 1.96 2.51 3.20 3.79 4.00 3.65 2.79 1.72 0.81 0.36 0.40 0.75 1.10 1.23 1.09 0.81 0.58 0.55 0.75 1.03 1.25 1.29 1.13 0.85 0.57 0.43 0.47 0.68 0.97 1.22 1.30 1.18 0.91 0.65 0.54 0.66 0.93 1.18 1.22 0.98 0.59 0.34 0.49 1.15 2.17 3.20 3.87 3.98 3.58 2.91 2.26 1.80 1.53 1.31 1.02 0.63 0.28 0.12 0.26 0.66 1.10 1.36 1.29 0.93 0.48 0.17 0.15 0.41 0.80 1.15 1.40 1.62 1.96 2.51 3.20 3.79 4.00 3.65 2.79 1.72 0.81 0.36 0.40 0.75 1.10 1.23 1.09 0.81 0.58 0.55 0.75 1.03 1.25 1.29 1.13 0.85 0.57 0.43 0.47 0.68 0.97 1.22 1.30 1.18 0.91 0.65 0.54 0.66 0.93 1.18 1.22 0.98 0.59 0.34 0.49 1.15 2.17 3.20 3.87 3.98 3.58 2.91 2.26 1.80 1.53 1.31 1.02 0.63 0.28 0.12 0.26 0.66 1.10 1.36 1.29 45.0 + 47.5 1.29 0.94 0.50 0.20 0.20 0.47 0.86 1.22 1.48 1.70 2.04 2.59 3.28 3.88 4.09 3.75 2.90 1.83 0.91 0.42 0.43 0.74 1.07 1.19 1.04 0.74 0.50 0.47 0.64 0.92 1.13 1.17 1.00 0.72 0.44 0.28 0.30 0.48 0.74 0.95 1.01 0.87 0.60 0.33 0.22 0.34 0.61 0.85 0.89 0.65 0.27 0.02 0.16 0.80 1.79 2.79 3.46 3.59 3.24 2.64 2.06 1.68 1.47 1.31 1.05 0.69 0.33 0.17 0.30 0.68 1.11 1.36 1.29 0.94 0.50 0.20 0.20 0.47 0.86 1.22 1.48 1.70 2.04 2.59 3.28 3.88 4.09 3.75 2.90 1.83 0.91 0.42 0.43 0.74 1.07 1.19 1.04 0.74 0.50 0.47 0.64 0.92 1.13 1.17 1.00 0.72 0.44 0.28 0.30 0.48 0.74 0.95 1.01 0.87 0.60 0.33 0.22 0.34 0.61 0.85 0.89 0.65 0.27 0.02 0.16 0.80 1.79 2.79 3.46 3.59 3.24 2.64 2.06 1.68 1.47 1.31 1.05 0.69 0.33 0.17 0.30 0.68 1.11 1.36 1.29 47.5 + 50.0 1.30 0.98 0.58 0.32 0.34 0.62 1.01 1.35 1.58 1.75 2.03 2.50 3.11 3.66 3.87 3.54 2.72 1.67 0.75 0.24 0.19 0.45 0.74 0.83 0.66 0.36 0.10 0.05 0.20 0.46 0.67 0.72 0.58 0.33 0.07 0.00 0.00 0.07 0.27 0.43 0.44 0.28 0.00 0.00 0.00 0.00 0.06 0.30 0.34 0.12 0.00 0.00 0.00 0.32 1.26 2.21 2.85 3.00 2.72 2.23 1.78 1.53 1.43 1.35 1.15 0.81 0.47 0.29 0.39 0.73 1.13 1.36 1.30 0.98 0.58 0.32 0.34 0.62 1.01 1.35 1.58 1.75 2.03 2.50 3.11 3.66 3.87 3.54 2.72 1.67 0.75 0.24 0.19 0.45 0.74 0.83 0.66 0.36 0.10 0.05 0.20 0.46 0.67 0.72 0.58 0.33 0.07 0.00 0.00 0.07 0.27 0.43 0.44 0.28 0.00 0.00 0.00 0.00 0.06 0.30 0.34 0.12 0.00 0.00 0.00 0.32 1.26 2.21 2.85 3.00 2.72 2.23 1.78 1.53 1.43 1.35 1.15 0.81 0.47 0.29 0.39 0.73 1.13 1.36 1.30 50.0 + 52.5 1.41 1.13 0.78 0.55 0.59 0.85 1.22 1.52 1.68 1.76 1.92 2.26 2.76 3.23 3.41 3.12 2.38 1.40 0.52 0.00 0.00 0.10 0.34 0.41 0.23 0.00 0.00 0.00 0.00 0.00 0.14 0.22 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.82 1.69 2.26 2.40 2.17 1.79 1.49 1.37 1.40 1.40 1.27 0.98 0.66 0.49 0.57 0.87 1.24 1.46 1.41 1.13 0.78 0.55 0.59 0.85 1.22 1.52 1.68 1.76 1.92 2.26 2.76 3.23 3.41 3.12 2.38 1.40 0.52 0.00 0.00 0.10 0.34 0.41 0.23 0.00 0.00 0.00 0.00 0.00 0.14 0.22 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.82 1.69 2.26 2.40 2.17 1.79 1.49 1.37 1.40 1.40 1.27 0.98 0.66 0.49 0.57 0.87 1.24 1.46 1.41 52.5 + 55.0 1.67 1.42 1.10 0.89 0.91 1.13 1.44 1.67 1.75 1.73 1.75 1.94 2.30 2.67 2.85 2.63 2.01 1.16 0.37 0.00 0.00 0.00 0.14 0.19 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.67 1.39 1.85 1.94 1.73 1.43 1.24 1.24 1.36 1.44 1.37 1.13 0.86 0.72 0.82 1.12 1.48 1.70 1.67 1.42 1.10 0.89 0.91 1.13 1.44 1.67 1.75 1.73 1.75 1.94 2.30 2.67 2.85 2.63 2.01 1.16 0.37 0.00 0.00 0.00 0.14 0.19 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.67 1.39 1.85 1.94 1.73 1.43 1.24 1.24 1.36 1.44 1.37 1.13 0.86 0.72 0.82 1.12 1.48 1.70 1.67 55.0 + 57.5 2.03 1.81 1.49 1.27 1.23 1.39 1.62 1.77 1.77 1.65 1.54 1.58 1.81 2.11 2.29 2.17 1.71 1.03 0.37 0.00 0.00 0.03 0.23 0.30 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.17 0.13 0.05 0.00 0.00 0.04 0.09 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.21 0.08 0.00 0.00 0.00 0.19 0.79 1.36 1.67 1.67 1.44 1.18 1.05 1.12 1.29 1.42 1.39 1.21 1.01 0.94 1.08 1.42 1.79 2.03 2.03 1.81 1.49 1.27 1.23 1.39 1.62 1.77 1.77 1.65 1.54 1.58 1.81 2.11 2.29 2.17 1.71 1.03 0.37 0.00 0.00 0.03 0.23 0.30 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.17 0.13 0.05 0.00 0.00 0.04 0.09 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.21 0.08 0.00 0.00 0.00 0.19 0.79 1.36 1.67 1.67 1.44 1.18 1.05 1.12 1.29 1.42 1.39 1.21 1.01 0.94 1.08 1.42 1.79 2.03 2.03 57.5 + 60.0 2.37 2.16 1.85 1.58 1.48 1.55 1.69 1.77 1.71 1.52 1.32 1.24 1.35 1.59 1.78 1.76 1.47 0.97 0.46 0.15 0.11 0.29 0.52 0.62 0.51 0.23 0.00 0.00 0.00 0.00 0.25 0.50 0.63 0.66 0.62 0.58 0.58 0.61 0.64 0.60 0.46 0.23 0.00 0.00 0.00 0.08 0.41 0.68 0.77 0.63 0.38 0.20 0.25 0.56 1.02 1.43 1.61 1.51 1.24 0.99 0.89 0.98 1.16 1.30 1.29 1.17 1.03 1.04 1.26 1.65 2.07 2.34 2.37 2.16 1.85 1.58 1.48 1.55 1.69 1.77 1.71 1.52 1.32 1.24 1.35 1.59 1.78 1.76 1.47 0.97 0.46 0.15 0.11 0.29 0.52 0.62 0.51 0.23 0.00 0.00 0.00 0.00 0.25 0.50 0.63 0.66 0.62 0.58 0.58 0.61 0.64 0.60 0.46 0.23 0.00 0.00 0.00 0.08 0.41 0.68 0.77 0.63 0.38 0.20 0.25 0.56 1.02 1.43 1.61 1.51 1.24 0.99 0.89 0.98 1.16 1.30 1.29 1.17 1.03 1.04 1.26 1.65 2.07 2.34 2.37 60.0 + 62.5 2.55 2.36 2.04 1.73 1.57 1.56 1.64 1.68 1.59 1.37 1.11 0.95 0.97 1.14 1.33 1.39 1.23 0.88 0.50 0.26 0.27 0.49 0.77 0.93 0.87 0.64 0.35 0.15 0.15 0.34 0.63 0.91 1.10 1.16 1.14 1.11 1.10 1.12 1.14 1.09 0.93 0.69 0.43 0.27 0.31 0.54 0.87 1.13 1.19 1.04 0.76 0.54 0.53 0.75 1.10 1.40 1.48 1.32 1.03 0.78 0.69 0.77 0.94 1.07 1.07 0.98 0.90 0.97 1.26 1.70 2.17 2.48 2.55 2.36 2.04 1.73 1.57 1.56 1.64 1.68 1.59 1.37 1.11 0.95 0.97 1.14 1.33 1.39 1.23 0.88 0.50 0.26 0.27 0.49 0.77 0.93 0.87 0.64 0.35 0.15 0.15 0.34 0.63 0.91 1.10 1.16 1.14 1.11 1.10 1.12 1.14 1.09 0.93 0.69 0.43 0.27 0.31 0.54 0.87 1.13 1.19 1.04 0.76 0.54 0.53 0.75 1.10 1.40 1.48 1.32 1.03 0.78 0.69 0.77 0.94 1.07 1.07 0.98 0.90 0.97 1.26 1.70 2.17 2.48 2.55 62.5 + 65.0 2.50 2.35 2.03 1.71 1.50 1.44 1.48 1.50 1.42 1.20 0.92 0.71 0.66 0.77 0.95 1.04 0.94 0.68 0.38 0.19 0.23 0.47 0.79 1.01 1.02 0.83 0.56 0.35 0.33 0.51 0.81 1.11 1.32 1.41 1.40 1.35 1.33 1.35 1.36 1.30 1.14 0.88 0.61 0.45 0.47 0.69 0.99 1.22 1.26 1.07 0.76 0.50 0.44 0.61 0.89 1.13 1.18 1.01 0.74 0.50 0.42 0.50 0.65 0.75 0.75 0.67 0.63 0.75 1.07 1.55 2.05 2.40 2.50 2.35 2.03 1.71 1.50 1.44 1.48 1.50 1.42 1.20 0.92 0.71 0.66 0.77 0.95 1.04 0.94 0.68 0.38 0.19 0.23 0.47 0.79 1.01 1.02 0.83 0.56 0.35 0.33 0.51 0.81 1.11 1.32 1.41 1.40 1.35 1.33 1.35 1.36 1.30 1.14 0.88 0.61 0.45 0.47 0.69 0.99 1.22 1.26 1.07 0.76 0.50 0.44 0.61 0.89 1.13 1.18 1.01 0.74 0.50 0.42 0.50 0.65 0.75 0.75 0.67 0.63 0.75 1.07 1.55 2.05 2.40 2.50 65.0 + 67.5 2.31 2.19 1.90 1.58 1.34 1.26 1.28 1.30 1.24 1.05 0.78 0.55 0.45 0.51 0.65 0.73 0.65 0.41 0.13 0.00 0.00 0.22 0.56 0.82 0.88 0.74 0.48 0.28 0.24 0.39 0.69 1.00 1.23 1.34 1.33 1.28 1.25 1.25 1.25 1.19 1.02 0.76 0.48 0.30 0.30 0.49 0.76 0.96 0.96 0.74 0.40 0.12 0.03 0.17 0.43 0.66 0.73 0.60 0.37 0.18 0.11 0.18 0.32 0.41 0.40 0.33 0.31 0.45 0.78 1.27 1.79 2.17 2.31 2.19 1.90 1.58 1.34 1.26 1.28 1.30 1.24 1.05 0.78 0.55 0.45 0.51 0.65 0.73 0.65 0.41 0.13 0.00 0.00 0.22 0.56 0.82 0.88 0.74 0.48 0.28 0.24 0.39 0.69 1.00 1.23 1.34 1.33 1.28 1.25 1.25 1.25 1.19 1.02 0.76 0.48 0.30 0.30 0.49 0.76 0.96 0.96 0.74 0.40 0.12 0.03 0.17 0.43 0.66 0.73 0.60 0.37 0.18 0.11 0.18 0.32 0.41 0.40 0.33 0.31 0.45 0.78 1.27 1.79 2.17 2.31 67.5 + 70.0 2.11 2.04 1.78 1.47 1.22 1.11 1.11 1.13 1.09 0.92 0.68 0.45 0.34 0.37 0.46 0.51 0.42 0.18 0.00 0.00 0.00 0.00 0.23 0.50 0.59 0.47 0.23 0.02 0.00 0.11 0.40 0.72 0.97 1.09 1.10 1.05 1.01 1.00 0.99 0.91 0.73 0.46 0.17 0.00 0.00 0.12 0.35 0.53 0.51 0.28 0.00 0.00 0.00 0.00 0.00 0.17 0.27 0.20 0.03 0.00 0.00 0.00 0.01 0.10 0.10 0.06 0.06 0.20 0.54 1.02 1.54 1.94 2.11 2.04 1.78 1.47 1.22 1.11 1.11 1.13 1.09 0.92 0.68 0.45 0.34 0.37 0.46 0.51 0.42 0.18 0.00 0.00 0.00 0.00 0.23 0.50 0.59 0.47 0.23 0.02 0.00 0.11 0.40 0.72 0.97 1.09 1.10 1.05 1.01 1.00 0.99 0.91 0.73 0.46 0.17 0.00 0.00 0.12 0.35 0.53 0.51 0.28 0.00 0.00 0.00 0.00 0.00 0.17 0.27 0.20 0.03 0.00 0.00 0.00 0.01 0.10 0.10 0.06 0.06 0.20 0.54 1.02 1.54 1.94 2.11 70.0 + 72.5 2.07 2.03 1.80 1.50 1.23 1.08 1.04 1.03 0.98 0.83 0.62 0.42 0.32 0.33 0.41 0.43 0.32 0.07 0.00 0.00 0.00 0.00 0.00 0.25 0.34 0.23 0.01 0.00 0.00 0.00 0.14 0.47 0.74 0.89 0.93 0.90 0.86 0.82 0.78 0.68 0.49 0.21 0.00 0.00 0.00 0.00 0.01 0.17 0.16 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.45 0.93 1.44 1.86 2.07 2.03 1.80 1.50 1.23 1.08 1.04 1.03 0.98 0.83 0.62 0.42 0.32 0.33 0.41 0.43 0.32 0.07 0.00 0.00 0.00 0.00 0.00 0.25 0.34 0.23 0.01 0.00 0.00 0.00 0.14 0.47 0.74 0.89 0.93 0.90 0.86 0.82 0.78 0.68 0.49 0.21 0.00 0.00 0.00 0.00 0.01 0.17 0.16 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.45 0.93 1.44 1.86 2.07 72.5 + 75.0 2.20 2.19 1.98 1.68 1.38 1.18 1.07 1.01 0.92 0.77 0.59 0.42 0.35 0.38 0.45 0.46 0.34 0.10 0.00 0.00 0.00 0.00 0.00 0.21 0.27 0.17 0.00 0.00 0.00 0.00 0.11 0.44 0.73 0.92 1.00 0.99 0.94 0.88 0.79 0.66 0.44 0.16 0.00 0.00 0.00 0.00 0.00 0.06 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.23 0.58 1.05 1.55 1.97 2.20 2.19 1.98 1.68 1.38 1.18 1.07 1.01 0.92 0.77 0.59 0.42 0.35 0.38 0.45 0.46 0.34 0.10 0.00 0.00 0.00 0.00 0.00 0.21 0.27 0.17 0.00 0.00 0.00 0.00 0.11 0.44 0.73 0.92 1.00 0.99 0.94 0.88 0.79 0.66 0.44 0.16 0.00 0.00 0.00 0.00 0.00 0.06 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.23 0.58 1.05 1.55 1.97 2.20 75.0 + 77.5 2.43 2.44 2.24 1.93 1.61 1.35 1.17 1.03 0.90 0.73 0.56 0.44 0.40 0.44 0.50 0.51 0.39 0.18 0.00 0.00 0.00 0.00 0.17 0.34 0.38 0.29 0.12 0.00 0.00 0.07 0.33 0.65 0.95 1.17 1.29 1.31 1.26 1.17 1.04 0.85 0.61 0.33 0.04 0.00 0.00 0.00 0.00 0.17 0.23 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.24 0.48 0.84 1.30 1.79 2.20 2.43 2.44 2.24 1.93 1.61 1.35 1.17 1.03 0.90 0.73 0.56 0.44 0.40 0.44 0.50 0.51 0.39 0.18 0.00 0.00 0.00 0.00 0.17 0.34 0.38 0.29 0.12 0.00 0.00 0.07 0.33 0.65 0.95 1.17 1.29 1.31 1.26 1.17 1.04 0.85 0.61 0.33 0.04 0.00 0.00 0.00 0.00 0.17 0.23 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.24 0.48 0.84 1.30 1.79 2.20 2.43 77.5 + 80.0 2.61 2.61 2.43 2.13 1.79 1.50 1.26 1.06 0.88 0.70 0.54 0.45 0.43 0.47 0.51 0.49 0.37 0.19 0.02 0.00 0.00 0.16 0.36 0.50 0.54 0.46 0.35 0.27 0.29 0.43 0.68 0.99 1.29 1.53 1.68 1.73 1.68 1.56 1.38 1.15 0.89 0.60 0.33 0.13 0.03 0.06 0.19 0.35 0.44 0.42 0.28 0.09 0.00 0.00 0.00 0.10 0.22 0.26 0.20 0.08 0.00 0.00 0.00 0.01 0.14 0.30 0.49 0.76 1.11 1.55 2.01 2.39 2.61 2.61 2.43 2.13 1.79 1.50 1.26 1.06 0.88 0.70 0.54 0.45 0.43 0.47 0.51 0.49 0.37 0.19 0.02 0.00 0.00 0.16 0.36 0.50 0.54 0.46 0.35 0.27 0.29 0.43 0.68 0.99 1.29 1.53 1.68 1.73 1.68 1.56 1.38 1.15 0.89 0.60 0.33 0.13 0.03 0.06 0.19 0.35 0.44 0.42 0.28 0.09 0.00 0.00 0.00 0.10 0.22 0.26 0.20 0.08 0.00 0.00 0.00 0.01 0.14 0.30 0.49 0.76 1.11 1.55 2.01 2.39 2.61 80.0 + 82.5 2.62 2.62 2.46 2.18 1.86 1.56 1.30 1.06 0.85 0.66 0.52 0.44 0.43 0.45 0.44 0.37 0.23 0.06 0.00 0.00 0.06 0.25 0.44 0.57 0.60 0.57 0.52 0.51 0.59 0.76 1.00 1.29 1.57 1.82 1.99 2.07 2.03 1.90 1.69 1.43 1.15 0.87 0.62 0.41 0.29 0.26 0.33 0.45 0.55 0.57 0.48 0.31 0.13 0.03 0.04 0.14 0.27 0.35 0.36 0.28 0.18 0.10 0.10 0.18 0.32 0.50 0.72 0.98 1.32 1.71 2.10 2.43 2.62 2.62 2.46 2.18 1.86 1.56 1.30 1.06 0.85 0.66 0.52 0.44 0.43 0.45 0.44 0.37 0.23 0.06 0.00 0.00 0.06 0.25 0.44 0.57 0.60 0.57 0.52 0.51 0.59 0.76 1.00 1.29 1.57 1.82 1.99 2.07 2.03 1.90 1.69 1.43 1.15 0.87 0.62 0.41 0.29 0.26 0.33 0.45 0.55 0.57 0.48 0.31 0.13 0.03 0.04 0.14 0.27 0.35 0.36 0.28 0.18 0.10 0.10 0.18 0.32 0.50 0.72 0.98 1.32 1.71 2.10 2.43 2.62 82.5 + 85.0 2.48 2.47 2.32 2.08 1.80 1.52 1.26 1.02 0.81 0.62 0.50 0.43 0.42 0.40 0.34 0.20 0.01 0.00 0.00 0.00 0.00 0.19 0.38 0.50 0.53 0.53 0.55 0.61 0.75 0.94 1.18 1.44 1.70 1.95 2.14 2.24 2.23 2.10 1.88 1.61 1.33 1.07 0.83 0.62 0.46 0.38 0.38 0.44 0.51 0.53 0.46 0.30 0.10 0.00 0.00 0.00 0.15 0.31 0.39 0.39 0.33 0.27 0.26 0.33 0.47 0.66 0.88 1.13 1.42 1.74 2.07 2.33 2.48 2.47 2.32 2.08 1.80 1.52 1.26 1.02 0.81 0.62 0.50 0.43 0.42 0.40 0.34 0.20 0.01 0.00 0.00 0.00 0.00 0.19 0.38 0.50 0.53 0.53 0.55 0.61 0.75 0.94 1.18 1.44 1.70 1.95 2.14 2.24 2.23 2.10 1.88 1.61 1.33 1.07 0.83 0.62 0.46 0.38 0.38 0.44 0.51 0.53 0.46 0.30 0.10 0.00 0.00 0.00 0.15 0.31 0.39 0.39 0.33 0.27 0.26 0.33 0.47 0.66 0.88 1.13 1.42 1.74 2.07 2.33 2.48 85.0 + 87.5 2.30 2.27 2.13 1.91 1.66 1.42 1.18 0.95 0.75 0.58 0.47 0.42 0.41 0.37 0.26 0.07 0.00 0.00 0.00 0.00 0.00 0.08 0.27 0.38 0.41 0.43 0.47 0.59 0.76 0.96 1.19 1.43 1.67 1.92 2.14 2.28 2.30 2.19 1.99 1.73 1.46 1.21 0.98 0.77 0.58 0.44 0.37 0.37 0.40 0.41 0.33 0.16 0.00 0.00 0.00 0.00 0.00 0.17 0.34 0.41 0.40 0.37 0.37 0.45 0.59 0.78 0.99 1.22 1.47 1.74 2.00 2.20 2.30 2.27 2.13 1.91 1.66 1.42 1.18 0.95 0.75 0.58 0.47 0.42 0.41 0.37 0.26 0.07 0.00 0.00 0.00 0.00 0.00 0.08 0.27 0.38 0.41 0.43 0.47 0.59 0.76 0.96 1.19 1.43 1.67 1.92 2.14 2.28 2.30 2.19 1.99 1.73 1.46 1.21 0.98 0.77 0.58 0.44 0.37 0.37 0.40 0.41 0.33 0.16 0.00 0.00 0.00 0.00 0.00 0.17 0.34 0.41 0.40 0.37 0.37 0.45 0.59 0.78 0.99 1.22 1.47 1.74 2.00 2.20 2.30 87.5 + 90.0 2.22 2.16 2.00 1.78 1.54 1.31 1.08 0.87 0.68 0.53 0.44 0.41 0.41 0.38 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.40 0.51 0.68 0.89 1.10 1.33 1.57 1.83 2.07 2.24 2.31 2.24 2.07 1.83 1.57 1.33 1.10 0.89 0.68 0.51 0.40 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.38 0.41 0.41 0.44 0.53 0.68 0.87 1.08 1.31 1.54 1.78 2.00 2.16 2.22 2.16 2.00 1.78 1.54 1.31 1.08 0.87 0.68 0.53 0.44 0.41 0.41 0.38 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.40 0.51 0.68 0.89 1.10 1.33 1.57 1.83 2.07 2.24 2.31 2.24 2.07 1.83 1.57 1.33 1.10 0.89 0.68 0.51 0.40 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.38 0.41 0.41 0.44 0.53 0.68 0.87 1.08 1.31 1.54 1.78 2.00 2.16 2.22 90.0 + + 5.0 DEGREE - PHI2-SECTION ( FMAX ABS = 4.56 FMAX-I = 4.56 ) PHI2 = 5. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 0.0 + 2.5 2.06 1.82 1.56 1.32 1.09 0.88 0.67 0.50 0.39 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.07 0.27 0.38 0.41 0.41 0.43 0.52 0.67 0.86 1.08 1.30 1.53 1.77 2.00 2.16 2.22 2.17 2.01 1.79 1.55 1.32 1.09 0.88 0.68 0.53 0.44 0.41 0.41 0.38 0.26 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.40 0.51 0.69 0.89 1.11 1.34 1.58 1.84 2.07 2.25 2.31 2.24 2.06 1.82 1.56 1.32 1.09 0.88 0.67 0.50 0.39 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.07 0.27 0.38 0.41 0.41 0.43 0.52 0.67 0.86 1.08 1.30 1.53 1.77 2.00 2.16 2.22 2.17 2.01 1.79 1.55 1.32 1.09 0.88 0.68 0.53 0.44 0.41 0.41 0.38 0.26 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.40 0.51 0.69 0.89 1.11 1.34 1.58 1.84 2.07 2.25 2.31 2.24 2.06 2.5 + 5.0 2.16 1.86 1.55 1.26 1.01 0.78 0.57 0.40 0.28 0.24 0.26 0.29 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.15 0.35 0.46 0.48 0.44 0.41 0.44 0.54 0.72 0.93 1.18 1.44 1.69 1.92 2.08 2.15 2.10 1.96 1.75 1.50 1.24 0.99 0.77 0.59 0.48 0.44 0.45 0.48 0.45 0.33 0.13 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.29 0.28 0.27 0.33 0.45 0.64 0.85 1.09 1.34 1.62 1.92 2.21 2.41 2.47 2.38 2.16 1.86 1.55 1.26 1.01 0.78 0.57 0.40 0.28 0.24 0.26 0.29 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.15 0.35 0.46 0.48 0.44 0.41 0.44 0.54 0.72 0.93 1.18 1.44 1.69 1.92 2.08 2.15 2.10 1.96 1.75 1.50 1.24 0.99 0.77 0.59 0.48 0.44 0.45 0.48 0.45 0.33 0.13 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.29 0.28 0.27 0.33 0.45 0.64 0.85 1.09 1.34 1.62 1.92 2.21 2.41 2.47 2.38 2.16 5.0 + 7.5 2.19 1.83 1.45 1.12 0.85 0.62 0.42 0.25 0.13 0.08 0.12 0.19 0.23 0.20 0.09 0.00 0.00 0.00 0.00 0.14 0.34 0.46 0.47 0.40 0.30 0.26 0.31 0.45 0.68 0.95 1.23 1.49 1.72 1.87 1.94 1.92 1.79 1.59 1.33 1.05 0.77 0.54 0.38 0.32 0.35 0.43 0.48 0.45 0.31 0.11 0.00 0.00 0.00 0.00 0.08 0.21 0.26 0.23 0.18 0.18 0.24 0.39 0.57 0.79 1.02 1.29 1.61 1.97 2.30 2.53 2.60 2.47 2.19 1.83 1.45 1.12 0.85 0.62 0.42 0.25 0.13 0.08 0.12 0.19 0.23 0.20 0.09 0.00 0.00 0.00 0.00 0.14 0.34 0.46 0.47 0.40 0.30 0.26 0.31 0.45 0.68 0.95 1.23 1.49 1.72 1.87 1.94 1.92 1.79 1.59 1.33 1.05 0.77 0.54 0.38 0.32 0.35 0.43 0.48 0.45 0.31 0.11 0.00 0.00 0.00 0.00 0.08 0.21 0.26 0.23 0.18 0.18 0.24 0.39 0.57 0.79 1.02 1.29 1.61 1.97 2.30 2.53 2.60 2.47 2.19 7.5 + 10.0 2.09 1.66 1.24 0.89 0.63 0.42 0.25 0.09 0.00 0.00 0.00 0.03 0.12 0.15 0.08 0.00 0.00 0.00 0.00 0.00 0.15 0.30 0.33 0.25 0.10 0.00 0.00 0.11 0.34 0.63 0.93 1.19 1.39 1.53 1.59 1.58 1.49 1.31 1.05 0.75 0.45 0.20 0.07 0.07 0.17 0.29 0.36 0.32 0.16 0.00 0.00 0.00 0.00 0.00 0.14 0.23 0.23 0.16 0.10 0.10 0.19 0.35 0.53 0.72 0.92 1.18 1.51 1.90 2.26 2.52 2.58 2.42 2.09 1.66 1.24 0.89 0.63 0.42 0.25 0.09 0.00 0.00 0.00 0.03 0.12 0.15 0.08 0.00 0.00 0.00 0.00 0.00 0.15 0.30 0.33 0.25 0.10 0.00 0.00 0.11 0.34 0.63 0.93 1.19 1.39 1.53 1.59 1.58 1.49 1.31 1.05 0.75 0.45 0.20 0.07 0.07 0.17 0.29 0.36 0.32 0.16 0.00 0.00 0.00 0.00 0.00 0.14 0.23 0.23 0.16 0.10 0.10 0.19 0.35 0.53 0.72 0.92 1.18 1.51 1.90 2.26 2.52 2.58 2.42 2.09 10.0 + 12.5 1.85 1.38 0.94 0.60 0.37 0.22 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.13 0.06 0.00 0.00 0.00 0.00 0.02 0.32 0.62 0.86 1.03 1.13 1.18 1.19 1.13 0.98 0.74 0.43 0.11 0.00 0.00 0.00 0.00 0.12 0.20 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.22 0.18 0.10 0.05 0.08 0.21 0.37 0.53 0.67 0.82 1.03 1.33 1.72 2.09 2.35 2.41 2.23 1.85 1.38 0.94 0.60 0.37 0.22 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.13 0.06 0.00 0.00 0.00 0.00 0.02 0.32 0.62 0.86 1.03 1.13 1.18 1.19 1.13 0.98 0.74 0.43 0.11 0.00 0.00 0.00 0.00 0.12 0.20 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.22 0.18 0.10 0.05 0.08 0.21 0.37 0.53 0.67 0.82 1.03 1.33 1.72 2.09 2.35 2.41 2.23 1.85 12.5 + 15.0 1.59 1.11 0.66 0.34 0.16 0.08 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.16 0.44 0.65 0.78 0.84 0.87 0.89 0.87 0.77 0.56 0.26 0.00 0.00 0.00 0.00 0.00 0.05 0.12 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.20 0.16 0.08 0.05 0.13 0.29 0.47 0.60 0.68 0.75 0.89 1.15 1.51 1.89 2.15 2.20 1.99 1.59 1.11 0.66 0.34 0.16 0.08 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.16 0.44 0.65 0.78 0.84 0.87 0.89 0.87 0.77 0.56 0.26 0.00 0.00 0.00 0.00 0.00 0.05 0.12 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.20 0.16 0.08 0.05 0.13 0.29 0.47 0.60 0.68 0.75 0.89 1.15 1.51 1.89 2.15 2.20 1.99 1.59 15.0 + 17.5 1.46 0.96 0.51 0.21 0.08 0.05 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.11 0.00 0.00 0.00 0.00 0.00 0.23 0.50 0.68 0.76 0.79 0.81 0.84 0.85 0.79 0.61 0.33 0.00 0.00 0.00 0.00 0.00 0.17 0.24 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.19 0.26 0.21 0.12 0.11 0.23 0.42 0.62 0.74 0.77 0.79 0.86 1.07 1.40 1.77 2.03 2.08 1.87 1.46 0.96 0.51 0.21 0.08 0.05 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.11 0.00 0.00 0.00 0.00 0.00 0.23 0.50 0.68 0.76 0.79 0.81 0.84 0.85 0.79 0.61 0.33 0.00 0.00 0.00 0.00 0.00 0.17 0.24 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.19 0.26 0.21 0.12 0.11 0.23 0.42 0.62 0.74 0.77 0.79 0.86 1.07 1.40 1.77 2.03 2.08 1.87 1.46 17.5 + 20.0 1.52 1.01 0.55 0.26 0.15 0.17 0.20 0.16 0.04 0.00 0.00 0.00 0.06 0.21 0.23 0.08 0.00 0.00 0.00 0.00 0.00 0.31 0.50 0.47 0.27 0.03 0.00 0.00 0.20 0.50 0.76 0.92 0.97 0.97 0.98 1.02 1.05 1.02 0.88 0.61 0.28 0.02 0.00 0.02 0.25 0.47 0.55 0.41 0.10 0.00 0.00 0.00 0.00 0.16 0.37 0.42 0.34 0.24 0.23 0.36 0.59 0.81 0.94 0.96 0.94 0.97 1.14 1.45 1.80 2.08 2.14 1.94 1.52 1.01 0.55 0.26 0.15 0.17 0.20 0.16 0.04 0.00 0.00 0.00 0.06 0.21 0.23 0.08 0.00 0.00 0.00 0.00 0.00 0.31 0.50 0.47 0.27 0.03 0.00 0.00 0.20 0.50 0.76 0.92 0.97 0.97 0.98 1.02 1.05 1.02 0.88 0.61 0.28 0.02 0.00 0.02 0.25 0.47 0.55 0.41 0.10 0.00 0.00 0.00 0.00 0.16 0.37 0.42 0.34 0.24 0.23 0.36 0.59 0.81 0.94 0.96 0.94 0.97 1.14 1.45 1.80 2.08 2.14 1.94 1.52 20.0 + 22.5 1.73 1.21 0.75 0.46 0.37 0.41 0.46 0.43 0.31 0.17 0.11 0.20 0.40 0.61 0.69 0.58 0.32 0.07 0.00 0.13 0.45 0.78 0.96 0.91 0.68 0.41 0.26 0.30 0.52 0.81 1.06 1.21 1.25 1.24 1.24 1.27 1.32 1.30 1.17 0.92 0.60 0.33 0.21 0.30 0.54 0.78 0.88 0.77 0.47 0.14 0.00 0.00 0.16 0.45 0.65 0.68 0.57 0.43 0.40 0.52 0.77 1.02 1.18 1.21 1.17 1.18 1.32 1.61 1.96 2.25 2.33 2.14 1.73 1.21 0.75 0.46 0.37 0.41 0.46 0.43 0.31 0.17 0.11 0.20 0.40 0.61 0.69 0.58 0.32 0.07 0.00 0.13 0.45 0.78 0.96 0.91 0.68 0.41 0.26 0.30 0.52 0.81 1.06 1.21 1.25 1.24 1.24 1.27 1.32 1.30 1.17 0.92 0.60 0.33 0.21 0.30 0.54 0.78 0.88 0.77 0.47 0.14 0.00 0.00 0.16 0.45 0.65 0.68 0.57 0.43 0.40 0.52 0.77 1.02 1.18 1.21 1.17 1.18 1.32 1.61 1.96 2.25 2.33 2.14 1.73 22.5 + 25.0 1.96 1.45 1.00 0.72 0.64 0.70 0.77 0.74 0.61 0.46 0.41 0.53 0.78 1.04 1.16 1.06 0.80 0.52 0.41 0.53 0.81 1.11 1.26 1.18 0.91 0.62 0.44 0.46 0.67 0.94 1.19 1.33 1.36 1.34 1.33 1.36 1.40 1.40 1.28 1.04 0.73 0.45 0.32 0.39 0.63 0.89 1.04 0.98 0.72 0.40 0.19 0.21 0.44 0.74 0.97 1.01 0.89 0.71 0.63 0.72 0.96 1.23 1.42 1.47 1.43 1.41 1.51 1.77 2.11 2.41 2.51 2.35 1.96 1.45 1.00 0.72 0.64 0.70 0.77 0.74 0.61 0.46 0.41 0.53 0.78 1.04 1.16 1.06 0.80 0.52 0.41 0.53 0.81 1.11 1.26 1.18 0.91 0.62 0.44 0.46 0.67 0.94 1.19 1.33 1.36 1.34 1.33 1.36 1.40 1.40 1.28 1.04 0.73 0.45 0.32 0.39 0.63 0.89 1.04 0.98 0.72 0.40 0.19 0.21 0.44 0.74 0.97 1.01 0.89 0.71 0.63 0.72 0.96 1.23 1.42 1.47 1.43 1.41 1.51 1.77 2.11 2.41 2.51 2.35 1.96 25.0 + 27.5 2.05 1.58 1.16 0.92 0.89 0.98 1.06 1.03 0.89 0.73 0.68 0.82 1.10 1.37 1.48 1.34 1.03 0.70 0.52 0.59 0.84 1.11 1.22 1.10 0.81 0.49 0.30 0.31 0.50 0.77 1.00 1.13 1.16 1.13 1.11 1.13 1.17 1.17 1.08 0.87 0.58 0.30 0.15 0.20 0.42 0.71 0.91 0.91 0.71 0.43 0.25 0.30 0.58 0.96 1.28 1.39 1.28 1.08 0.94 0.97 1.17 1.43 1.63 1.69 1.63 1.56 1.60 1.80 2.12 2.42 2.55 2.42 2.05 1.58 1.16 0.92 0.89 0.98 1.06 1.03 0.89 0.73 0.68 0.82 1.10 1.37 1.48 1.34 1.03 0.70 0.52 0.59 0.84 1.11 1.22 1.10 0.81 0.49 0.30 0.31 0.50 0.77 1.00 1.13 1.16 1.13 1.11 1.13 1.17 1.17 1.08 0.87 0.58 0.30 0.15 0.20 0.42 0.71 0.91 0.91 0.71 0.43 0.25 0.30 0.58 0.96 1.28 1.39 1.28 1.08 0.94 0.97 1.17 1.43 1.63 1.69 1.63 1.56 1.60 1.80 2.12 2.42 2.55 2.42 2.05 27.5 + 30.0 1.96 1.53 1.16 0.99 1.02 1.17 1.28 1.26 1.11 0.94 0.89 1.03 1.31 1.56 1.61 1.38 0.96 0.52 0.27 0.28 0.50 0.73 0.82 0.69 0.39 0.07 0.00 0.00 0.07 0.32 0.54 0.65 0.67 0.63 0.61 0.62 0.67 0.69 0.64 0.48 0.22 0.00 0.00 0.00 0.02 0.33 0.58 0.64 0.50 0.27 0.13 0.23 0.61 1.13 1.59 1.83 1.79 1.58 1.37 1.30 1.42 1.63 1.79 1.82 1.71 1.57 1.53 1.66 1.93 2.23 2.38 2.28 1.96 1.53 1.16 0.99 1.02 1.17 1.28 1.26 1.11 0.94 0.89 1.03 1.31 1.56 1.61 1.38 0.96 0.52 0.27 0.28 0.50 0.73 0.82 0.69 0.39 0.07 0.00 0.00 0.07 0.32 0.54 0.65 0.67 0.63 0.61 0.62 0.67 0.69 0.64 0.48 0.22 0.00 0.00 0.00 0.02 0.33 0.58 0.64 0.50 0.27 0.13 0.23 0.61 1.13 1.59 1.83 1.79 1.58 1.37 1.30 1.42 1.63 1.79 1.82 1.71 1.57 1.53 1.66 1.93 2.23 2.38 2.28 1.96 30.0 + 32.5 1.72 1.33 1.02 0.92 1.03 1.24 1.40 1.40 1.26 1.10 1.06 1.22 1.48 1.68 1.64 1.28 0.71 0.15 0.00 0.00 0.00 0.19 0.28 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.13 0.12 0.07 0.03 0.05 0.12 0.20 0.22 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.26 0.38 0.29 0.09 0.00 0.15 0.63 1.32 1.97 2.36 2.41 2.20 1.90 1.71 1.69 1.80 1.89 1.86 1.67 1.44 1.30 1.36 1.60 1.89 2.07 2.01 1.72 1.33 1.02 0.92 1.03 1.24 1.40 1.40 1.26 1.10 1.06 1.22 1.48 1.68 1.64 1.28 0.71 0.15 0.00 0.00 0.00 0.19 0.28 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.13 0.12 0.07 0.03 0.05 0.12 0.20 0.22 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.26 0.38 0.29 0.09 0.00 0.15 0.63 1.32 1.97 2.36 2.41 2.20 1.90 1.71 1.69 1.80 1.89 1.86 1.67 1.44 1.30 1.36 1.60 1.89 2.07 2.01 1.72 32.5 + 35.0 1.47 1.10 0.83 0.77 0.95 1.22 1.43 1.47 1.37 1.24 1.25 1.45 1.72 1.89 1.74 1.25 0.53 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.21 0.35 0.29 0.10 0.00 0.20 0.77 1.61 2.43 2.99 3.12 2.89 2.49 2.15 1.97 1.95 1.93 1.81 1.54 1.23 1.02 1.03 1.25 1.55 1.76 1.73 1.47 1.10 0.83 0.77 0.95 1.22 1.43 1.47 1.37 1.24 1.25 1.45 1.72 1.89 1.74 1.25 0.53 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.21 0.35 0.29 0.10 0.00 0.20 0.77 1.61 2.43 2.99 3.12 2.89 2.49 2.15 1.97 1.95 1.93 1.81 1.54 1.23 1.02 1.03 1.25 1.55 1.76 1.73 1.47 35.0 + 37.5 1.32 0.95 0.67 0.62 0.83 1.14 1.40 1.50 1.45 1.41 1.51 1.79 2.12 2.28 2.08 1.47 0.63 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.34 0.25 0.03 0.00 0.00 0.00 0.17 0.48 0.64 0.57 0.36 0.24 0.43 1.05 1.98 2.94 3.62 3.81 3.56 3.05 2.55 2.21 2.04 1.92 1.71 1.37 1.00 0.75 0.75 0.99 1.34 1.58 1.57 1.32 0.95 0.67 0.62 0.83 1.14 1.40 1.50 1.45 1.41 1.51 1.79 2.12 2.28 2.08 1.47 0.63 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.34 0.25 0.03 0.00 0.00 0.00 0.17 0.48 0.64 0.57 0.36 0.24 0.43 1.05 1.98 2.94 3.62 3.81 3.56 3.05 2.55 2.21 2.04 1.92 1.71 1.37 1.00 0.75 0.75 0.99 1.34 1.58 1.57 1.32 37.5 + 40.0 1.30 0.90 0.59 0.52 0.72 1.06 1.36 1.52 1.55 1.62 1.84 2.24 2.67 2.88 2.66 1.99 1.06 0.19 0.00 0.00 0.00 0.14 0.30 0.22 0.00 0.00 0.00 0.00 0.00 0.26 0.41 0.41 0.28 0.12 0.02 0.06 0.24 0.51 0.75 0.87 0.80 0.59 0.35 0.23 0.33 0.62 0.93 1.08 1.00 0.75 0.57 0.73 1.34 2.31 3.34 4.09 4.32 4.03 3.44 2.81 2.34 2.06 1.86 1.59 1.22 0.83 0.58 0.60 0.88 1.27 1.56 1.57 1.30 0.90 0.59 0.52 0.72 1.06 1.36 1.52 1.55 1.62 1.84 2.24 2.67 2.88 2.66 1.99 1.06 0.19 0.00 0.00 0.00 0.14 0.30 0.22 0.00 0.00 0.00 0.00 0.00 0.26 0.41 0.41 0.28 0.12 0.02 0.06 0.24 0.51 0.75 0.87 0.80 0.59 0.35 0.23 0.33 0.62 0.93 1.08 1.00 0.75 0.57 0.73 1.34 2.31 3.34 4.09 4.32 4.03 3.44 2.81 2.34 2.06 1.86 1.59 1.22 0.83 0.58 0.60 0.88 1.27 1.56 1.57 1.30 40.0 + 42.5 1.37 0.94 0.58 0.48 0.67 1.01 1.35 1.56 1.69 1.87 2.22 2.76 3.29 3.57 3.37 2.67 1.69 0.76 0.20 0.11 0.36 0.70 0.88 0.80 0.54 0.28 0.19 0.33 0.60 0.87 1.01 0.96 0.79 0.57 0.44 0.46 0.64 0.92 1.18 1.31 1.25 1.02 0.76 0.61 0.69 0.95 1.25 1.40 1.29 1.00 0.77 0.87 1.44 2.41 3.46 4.23 4.48 4.19 3.56 2.87 2.34 2.02 1.78 1.50 1.13 0.74 0.51 0.56 0.88 1.31 1.63 1.65 1.37 0.94 0.58 0.48 0.67 1.01 1.35 1.56 1.69 1.87 2.22 2.76 3.29 3.57 3.37 2.67 1.69 0.76 0.20 0.11 0.36 0.70 0.88 0.80 0.54 0.28 0.19 0.33 0.60 0.87 1.01 0.96 0.79 0.57 0.44 0.46 0.64 0.92 1.18 1.31 1.25 1.02 0.76 0.61 0.69 0.95 1.25 1.40 1.29 1.00 0.77 0.87 1.44 2.41 3.46 4.23 4.48 4.19 3.56 2.87 2.34 2.02 1.78 1.50 1.13 0.74 0.51 0.56 0.88 1.31 1.63 1.65 1.37 42.5 + 45.0 1.44 0.99 0.62 0.50 0.67 1.03 1.39 1.66 1.86 2.13 2.58 3.21 3.84 4.17 4.00 3.30 2.29 1.32 0.72 0.59 0.83 1.16 1.33 1.24 0.96 0.70 0.61 0.74 1.01 1.27 1.39 1.31 1.09 0.83 0.66 0.65 0.80 1.05 1.29 1.40 1.32 1.08 0.80 0.63 0.69 0.93 1.22 1.36 1.23 0.92 0.64 0.70 1.22 2.15 3.18 3.96 4.23 3.96 3.36 2.71 2.21 1.91 1.70 1.45 1.10 0.73 0.51 0.57 0.91 1.37 1.70 1.73 1.44 0.99 0.62 0.50 0.67 1.03 1.39 1.66 1.86 2.13 2.58 3.21 3.84 4.17 4.00 3.30 2.29 1.32 0.72 0.59 0.83 1.16 1.33 1.24 0.96 0.70 0.61 0.74 1.01 1.27 1.39 1.31 1.09 0.83 0.66 0.65 0.80 1.05 1.29 1.40 1.32 1.08 0.80 0.63 0.69 0.93 1.22 1.36 1.23 0.92 0.64 0.70 1.22 2.15 3.18 3.96 4.23 3.96 3.36 2.71 2.21 1.91 1.70 1.45 1.10 0.73 0.51 0.57 0.91 1.37 1.70 1.73 1.44 45.0 + 47.5 1.46 1.03 0.67 0.57 0.76 1.13 1.51 1.81 2.04 2.35 2.84 3.51 4.16 4.53 4.39 3.69 2.67 1.67 1.02 0.84 1.02 1.31 1.46 1.35 1.06 0.77 0.66 0.77 1.03 1.27 1.37 1.27 1.03 0.75 0.55 0.50 0.61 0.81 1.00 1.07 0.96 0.70 0.42 0.25 0.30 0.54 0.81 0.94 0.81 0.49 0.21 0.24 0.72 1.60 2.59 3.35 3.64 3.43 2.92 2.37 1.98 1.77 1.65 1.45 1.14 0.78 0.56 0.62 0.94 1.38 1.70 1.74 1.46 1.03 0.67 0.57 0.76 1.13 1.51 1.81 2.04 2.35 2.84 3.51 4.16 4.53 4.39 3.69 2.67 1.67 1.02 0.84 1.02 1.31 1.46 1.35 1.06 0.77 0.66 0.77 1.03 1.27 1.37 1.27 1.03 0.75 0.55 0.50 0.61 0.81 1.00 1.07 0.96 0.70 0.42 0.25 0.30 0.54 0.81 0.94 0.81 0.49 0.21 0.24 0.72 1.60 2.59 3.35 3.64 3.43 2.92 2.37 1.98 1.77 1.65 1.45 1.14 0.78 0.56 0.62 0.94 1.38 1.70 1.74 1.46 47.5 + 50.0 1.47 1.08 0.77 0.70 0.91 1.29 1.69 1.98 2.21 2.48 2.94 3.56 4.19 4.56 4.43 3.76 2.76 1.75 1.05 0.81 0.92 1.15 1.26 1.13 0.82 0.52 0.38 0.46 0.69 0.91 1.00 0.91 0.68 0.41 0.21 0.14 0.20 0.35 0.47 0.49 0.35 0.10 0.00 0.00 0.00 0.00 0.24 0.37 0.25 0.00 0.00 0.00 0.16 0.97 1.90 2.61 2.91 2.77 2.37 1.96 1.72 1.64 1.62 1.49 1.22 0.88 0.65 0.67 0.96 1.36 1.67 1.71 1.47 1.08 0.77 0.70 0.91 1.29 1.69 1.98 2.21 2.48 2.94 3.56 4.19 4.56 4.43 3.76 2.76 1.75 1.05 0.81 0.92 1.15 1.26 1.13 0.82 0.52 0.38 0.46 0.69 0.91 1.00 0.91 0.68 0.41 0.21 0.14 0.20 0.35 0.47 0.49 0.35 0.10 0.00 0.00 0.00 0.00 0.24 0.37 0.25 0.00 0.00 0.00 0.16 0.97 1.90 2.61 2.91 2.77 2.37 1.96 1.72 1.64 1.62 1.49 1.22 0.88 0.65 0.67 0.96 1.36 1.67 1.71 1.47 50.0 + 52.5 1.53 1.20 0.94 0.91 1.14 1.51 1.88 2.15 2.31 2.51 2.86 3.37 3.92 4.25 4.14 3.54 2.60 1.63 0.92 0.62 0.67 0.84 0.91 0.77 0.46 0.14 0.00 0.02 0.21 0.42 0.52 0.47 0.28 0.06 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.54 1.37 2.01 2.27 2.17 1.87 1.59 1.48 1.53 1.59 1.53 1.30 0.98 0.75 0.76 1.01 1.38 1.67 1.73 1.53 1.20 0.94 0.91 1.14 1.51 1.88 2.15 2.31 2.51 2.86 3.37 3.92 4.25 4.14 3.54 2.60 1.63 0.92 0.62 0.67 0.84 0.91 0.77 0.46 0.14 0.00 0.02 0.21 0.42 0.52 0.47 0.28 0.06 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.54 1.37 2.01 2.27 2.17 1.87 1.59 1.48 1.53 1.59 1.53 1.30 0.98 0.75 0.76 1.01 1.38 1.67 1.73 1.53 52.5 + 55.0 1.68 1.41 1.20 1.18 1.39 1.73 2.06 2.25 2.34 2.41 2.61 2.98 3.41 3.70 3.63 3.13 2.31 1.43 0.76 0.45 0.46 0.60 0.65 0.51 0.21 0.00 0.00 0.00 0.00 0.07 0.21 0.22 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.47 1.17 1.69 1.88 1.77 1.51 1.32 1.30 1.42 1.55 1.53 1.33 1.05 0.84 0.85 1.10 1.46 1.75 1.84 1.68 1.41 1.20 1.18 1.39 1.73 2.06 2.25 2.34 2.41 2.61 2.98 3.41 3.70 3.63 3.13 2.31 1.43 0.76 0.45 0.46 0.60 0.65 0.51 0.21 0.00 0.00 0.00 0.00 0.07 0.21 0.22 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.47 1.17 1.69 1.88 1.77 1.51 1.32 1.30 1.42 1.55 1.53 1.33 1.05 0.84 0.85 1.10 1.46 1.75 1.84 1.68 55.0 + 57.5 1.91 1.68 1.49 1.46 1.62 1.90 2.15 2.27 2.26 2.21 2.25 2.45 2.76 3.00 2.99 2.62 1.97 1.24 0.66 0.38 0.39 0.52 0.60 0.49 0.22 0.00 0.00 0.00 0.00 0.03 0.22 0.30 0.28 0.20 0.11 0.08 0.10 0.14 0.15 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.22 0.38 0.34 0.14 0.00 0.00 0.21 0.71 1.26 1.64 1.73 1.57 1.31 1.14 1.15 1.29 1.43 1.43 1.27 1.03 0.87 0.92 1.19 1.57 1.89 2.02 1.91 1.68 1.49 1.46 1.62 1.90 2.15 2.27 2.26 2.21 2.25 2.45 2.76 3.00 2.99 2.62 1.97 1.24 0.66 0.38 0.39 0.52 0.60 0.49 0.22 0.00 0.00 0.00 0.00 0.03 0.22 0.30 0.28 0.20 0.11 0.08 0.10 0.14 0.15 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.22 0.38 0.34 0.14 0.00 0.00 0.21 0.71 1.26 1.64 1.73 1.57 1.31 1.14 1.15 1.29 1.43 1.43 1.27 1.03 0.87 0.92 1.19 1.57 1.89 2.02 1.91 57.5 + 60.0 2.12 1.92 1.73 1.66 1.77 1.97 2.15 2.20 2.10 1.94 1.84 1.89 2.08 2.28 2.32 2.10 1.63 1.06 0.60 0.39 0.42 0.59 0.70 0.66 0.44 0.15 0.00 0.00 0.00 0.24 0.48 0.64 0.70 0.68 0.64 0.61 0.62 0.65 0.65 0.57 0.41 0.19 0.03 0.00 0.15 0.44 0.75 0.92 0.89 0.70 0.49 0.44 0.63 1.02 1.44 1.69 1.69 1.46 1.17 0.98 0.97 1.09 1.21 1.21 1.07 0.88 0.78 0.89 1.21 1.64 2.00 2.17 2.12 1.92 1.73 1.66 1.77 1.97 2.15 2.20 2.10 1.94 1.84 1.89 2.08 2.28 2.32 2.10 1.63 1.06 0.60 0.39 0.42 0.59 0.70 0.66 0.44 0.15 0.00 0.00 0.00 0.24 0.48 0.64 0.70 0.68 0.64 0.61 0.62 0.65 0.65 0.57 0.41 0.19 0.03 0.00 0.15 0.44 0.75 0.92 0.89 0.70 0.49 0.44 0.63 1.02 1.44 1.69 1.69 1.46 1.17 0.98 0.97 1.09 1.21 1.21 1.07 0.88 0.78 0.89 1.21 1.64 2.00 2.17 2.12 60.0 + 62.5 2.20 2.04 1.86 1.75 1.79 1.92 2.04 2.05 1.91 1.68 1.47 1.40 1.48 1.63 1.71 1.60 1.29 0.87 0.52 0.37 0.44 0.64 0.82 0.85 0.70 0.45 0.23 0.16 0.27 0.51 0.80 1.02 1.15 1.17 1.14 1.11 1.11 1.12 1.11 1.02 0.84 0.62 0.44 0.40 0.54 0.82 1.12 1.29 1.26 1.05 0.81 0.71 0.84 1.14 1.46 1.63 1.56 1.30 0.99 0.78 0.73 0.81 0.89 0.88 0.76 0.61 0.57 0.73 1.10 1.56 1.97 2.20 2.20 2.04 1.86 1.75 1.79 1.92 2.04 2.05 1.91 1.68 1.47 1.40 1.48 1.63 1.71 1.60 1.29 0.87 0.52 0.37 0.44 0.64 0.82 0.85 0.70 0.45 0.23 0.16 0.27 0.51 0.80 1.02 1.15 1.17 1.14 1.11 1.11 1.12 1.11 1.02 0.84 0.62 0.44 0.40 0.54 0.82 1.12 1.29 1.26 1.05 0.81 0.71 0.84 1.14 1.46 1.63 1.56 1.30 0.99 0.78 0.73 0.81 0.89 0.88 0.76 0.61 0.57 0.73 1.10 1.56 1.97 2.20 2.20 62.5 + 65.0 2.13 2.03 1.85 1.73 1.72 1.80 1.89 1.88 1.73 1.47 1.21 1.05 1.04 1.15 1.24 1.20 0.99 0.67 0.38 0.26 0.35 0.59 0.82 0.93 0.85 0.64 0.42 0.32 0.41 0.65 0.96 1.23 1.39 1.44 1.42 1.37 1.35 1.34 1.31 1.22 1.03 0.79 0.59 0.52 0.63 0.89 1.16 1.31 1.25 1.02 0.75 0.61 0.67 0.91 1.18 1.33 1.26 1.01 0.71 0.49 0.42 0.46 0.52 0.50 0.39 0.27 0.27 0.46 0.84 1.33 1.78 2.07 2.13 2.03 1.85 1.73 1.72 1.80 1.89 1.88 1.73 1.47 1.21 1.05 1.04 1.15 1.24 1.20 0.99 0.67 0.38 0.26 0.35 0.59 0.82 0.93 0.85 0.64 0.42 0.32 0.41 0.65 0.96 1.23 1.39 1.44 1.42 1.37 1.35 1.34 1.31 1.22 1.03 0.79 0.59 0.52 0.63 0.89 1.16 1.31 1.25 1.02 0.75 0.61 0.67 0.91 1.18 1.33 1.26 1.01 0.71 0.49 0.42 0.46 0.52 0.50 0.39 0.27 0.27 0.46 0.84 1.33 1.78 2.07 2.13 65.0 + 67.5 1.99 1.94 1.81 1.68 1.63 1.68 1.75 1.75 1.62 1.37 1.09 0.89 0.82 0.88 0.96 0.95 0.78 0.51 0.24 0.11 0.19 0.43 0.69 0.85 0.82 0.64 0.43 0.30 0.35 0.57 0.89 1.18 1.38 1.45 1.42 1.36 1.31 1.28 1.24 1.14 0.95 0.70 0.48 0.37 0.45 0.66 0.90 1.02 0.94 0.69 0.39 0.21 0.23 0.43 0.69 0.85 0.82 0.62 0.36 0.17 0.09 0.12 0.16 0.15 0.06 0.00 0.00 0.17 0.55 1.04 1.52 1.85 1.99 1.94 1.81 1.68 1.63 1.68 1.75 1.75 1.62 1.37 1.09 0.89 0.82 0.88 0.96 0.95 0.78 0.51 0.24 0.11 0.19 0.43 0.69 0.85 0.82 0.64 0.43 0.30 0.35 0.57 0.89 1.18 1.38 1.45 1.42 1.36 1.31 1.28 1.24 1.14 0.95 0.70 0.48 0.37 0.45 0.66 0.90 1.02 0.94 0.69 0.39 0.21 0.23 0.43 0.69 0.85 0.82 0.62 0.36 0.17 0.09 0.12 0.16 0.15 0.06 0.00 0.00 0.17 0.55 1.04 1.52 1.85 1.99 67.5 + 70.0 1.90 1.92 1.82 1.69 1.63 1.64 1.69 1.69 1.59 1.38 1.12 0.91 0.82 0.84 0.91 0.89 0.74 0.47 0.19 0.03 0.07 0.28 0.54 0.72 0.72 0.56 0.34 0.18 0.20 0.39 0.69 0.99 1.22 1.31 1.29 1.22 1.15 1.09 1.04 0.93 0.74 0.49 0.25 0.12 0.16 0.33 0.54 0.64 0.56 0.30 0.00 0.00 0.00 0.00 0.20 0.39 0.41 0.28 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.35 0.82 1.31 1.70 1.90 1.92 1.82 1.69 1.63 1.64 1.69 1.69 1.59 1.38 1.12 0.91 0.82 0.84 0.91 0.89 0.74 0.47 0.19 0.03 0.07 0.28 0.54 0.72 0.72 0.56 0.34 0.18 0.20 0.39 0.69 0.99 1.22 1.31 1.29 1.22 1.15 1.09 1.04 0.93 0.74 0.49 0.25 0.12 0.16 0.33 0.54 0.64 0.56 0.30 0.00 0.00 0.00 0.00 0.20 0.39 0.41 0.28 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.35 0.82 1.31 1.70 1.90 70.0 + 72.5 1.97 2.05 1.98 1.85 1.74 1.70 1.71 1.70 1.62 1.44 1.22 1.04 0.95 0.97 1.02 1.00 0.85 0.58 0.29 0.11 0.11 0.28 0.51 0.67 0.67 0.52 0.30 0.13 0.11 0.26 0.55 0.86 1.10 1.23 1.23 1.16 1.07 0.98 0.90 0.78 0.59 0.35 0.11 0.00 0.00 0.11 0.29 0.40 0.34 0.12 0.00 0.00 0.00 0.00 0.00 0.13 0.20 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.33 0.80 1.29 1.71 1.97 2.05 1.98 1.85 1.74 1.70 1.71 1.70 1.62 1.44 1.22 1.04 0.95 0.97 1.02 1.00 0.85 0.58 0.29 0.11 0.11 0.28 0.51 0.67 0.67 0.52 0.30 0.13 0.11 0.26 0.55 0.86 1.10 1.23 1.23 1.16 1.07 0.98 0.90 0.78 0.59 0.35 0.11 0.00 0.00 0.11 0.29 0.40 0.34 0.12 0.00 0.00 0.00 0.00 0.00 0.13 0.20 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.33 0.80 1.29 1.71 1.97 72.5 + 75.0 2.21 2.32 2.26 2.11 1.95 1.84 1.79 1.74 1.65 1.50 1.32 1.18 1.12 1.15 1.19 1.17 1.02 0.77 0.50 0.32 0.31 0.44 0.63 0.77 0.76 0.62 0.41 0.24 0.21 0.34 0.61 0.92 1.19 1.34 1.37 1.31 1.20 1.08 0.96 0.81 0.61 0.37 0.14 0.00 0.00 0.09 0.27 0.40 0.39 0.23 0.00 0.00 0.00 0.00 0.00 0.16 0.25 0.21 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.19 0.52 0.97 1.47 1.91 2.21 2.32 2.26 2.11 1.95 1.84 1.79 1.74 1.65 1.50 1.32 1.18 1.12 1.15 1.19 1.17 1.02 0.77 0.50 0.32 0.31 0.44 0.63 0.77 0.76 0.62 0.41 0.24 0.21 0.34 0.61 0.92 1.19 1.34 1.37 1.31 1.20 1.08 0.96 0.81 0.61 0.37 0.14 0.00 0.00 0.09 0.27 0.40 0.39 0.23 0.00 0.00 0.00 0.00 0.00 0.16 0.25 0.21 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.19 0.52 0.97 1.47 1.91 2.21 75.0 + 77.5 2.49 2.61 2.55 2.37 2.16 1.98 1.84 1.73 1.61 1.47 1.33 1.23 1.20 1.23 1.27 1.24 1.11 0.89 0.67 0.54 0.55 0.67 0.83 0.94 0.93 0.81 0.64 0.51 0.50 0.63 0.88 1.18 1.46 1.65 1.71 1.66 1.54 1.38 1.20 1.00 0.77 0.53 0.31 0.16 0.13 0.22 0.39 0.54 0.60 0.53 0.36 0.19 0.09 0.11 0.23 0.38 0.46 0.45 0.34 0.19 0.07 0.00 0.00 0.03 0.08 0.15 0.27 0.48 0.81 1.25 1.74 2.18 2.49 2.61 2.55 2.37 2.16 1.98 1.84 1.73 1.61 1.47 1.33 1.23 1.20 1.23 1.27 1.24 1.11 0.89 0.67 0.54 0.55 0.67 0.83 0.94 0.93 0.81 0.64 0.51 0.50 0.63 0.88 1.18 1.46 1.65 1.71 1.66 1.54 1.38 1.20 1.00 0.77 0.53 0.31 0.16 0.13 0.22 0.39 0.54 0.60 0.53 0.36 0.19 0.09 0.11 0.23 0.38 0.46 0.45 0.34 0.19 0.07 0.00 0.00 0.03 0.08 0.15 0.27 0.48 0.81 1.25 1.74 2.18 2.49 77.5 + 80.0 2.66 2.77 2.71 2.51 2.26 2.01 1.81 1.64 1.48 1.33 1.21 1.14 1.13 1.16 1.17 1.12 0.99 0.81 0.67 0.61 0.66 0.79 0.94 1.04 1.04 0.96 0.86 0.79 0.83 0.97 1.22 1.51 1.79 2.00 2.10 2.07 1.94 1.74 1.50 1.24 0.98 0.73 0.51 0.35 0.30 0.35 0.50 0.66 0.77 0.78 0.70 0.56 0.44 0.41 0.46 0.57 0.65 0.67 0.59 0.46 0.32 0.21 0.16 0.18 0.25 0.36 0.52 0.76 1.09 1.50 1.96 2.37 2.66 2.77 2.71 2.51 2.26 2.01 1.81 1.64 1.48 1.33 1.21 1.14 1.13 1.16 1.17 1.12 0.99 0.81 0.67 0.61 0.66 0.79 0.94 1.04 1.04 0.96 0.86 0.79 0.83 0.97 1.22 1.51 1.79 2.00 2.10 2.07 1.94 1.74 1.50 1.24 0.98 0.73 0.51 0.35 0.30 0.35 0.50 0.66 0.77 0.78 0.70 0.56 0.44 0.41 0.46 0.57 0.65 0.67 0.59 0.46 0.32 0.21 0.16 0.18 0.25 0.36 0.52 0.76 1.09 1.50 1.96 2.37 2.66 80.0 + 82.5 2.64 2.73 2.65 2.45 2.18 1.90 1.65 1.44 1.25 1.10 1.00 0.95 0.94 0.94 0.90 0.80 0.66 0.51 0.42 0.44 0.55 0.71 0.86 0.94 0.96 0.93 0.91 0.93 1.03 1.20 1.44 1.72 2.00 2.23 2.37 2.38 2.26 2.04 1.75 1.45 1.15 0.88 0.65 0.48 0.39 0.39 0.48 0.62 0.76 0.82 0.79 0.69 0.56 0.48 0.48 0.55 0.65 0.72 0.71 0.62 0.49 0.36 0.29 0.29 0.37 0.51 0.70 0.94 1.26 1.63 2.03 2.39 2.64 2.73 2.65 2.45 2.18 1.90 1.65 1.44 1.25 1.10 1.00 0.95 0.94 0.94 0.90 0.80 0.66 0.51 0.42 0.44 0.55 0.71 0.86 0.94 0.96 0.93 0.91 0.93 1.03 1.20 1.44 1.72 2.00 2.23 2.37 2.38 2.26 2.04 1.75 1.45 1.15 0.88 0.65 0.48 0.39 0.39 0.48 0.62 0.76 0.82 0.79 0.69 0.56 0.48 0.48 0.55 0.65 0.72 0.71 0.62 0.49 0.36 0.29 0.29 0.37 0.51 0.70 0.94 1.26 1.63 2.03 2.39 2.64 82.5 + 85.0 2.45 2.50 2.41 2.21 1.95 1.68 1.41 1.18 0.98 0.84 0.75 0.72 0.71 0.67 0.58 0.43 0.25 0.10 0.05 0.12 0.28 0.46 0.61 0.68 0.71 0.72 0.76 0.86 1.01 1.21 1.45 1.72 2.00 2.25 2.44 2.50 2.43 2.22 1.92 1.59 1.27 0.98 0.75 0.55 0.41 0.34 0.36 0.45 0.56 0.64 0.64 0.55 0.41 0.29 0.25 0.31 0.44 0.57 0.64 0.63 0.54 0.43 0.35 0.35 0.43 0.58 0.78 1.03 1.32 1.65 1.98 2.27 2.45 2.50 2.41 2.21 1.95 1.68 1.41 1.18 0.98 0.84 0.75 0.72 0.71 0.67 0.58 0.43 0.25 0.10 0.05 0.12 0.28 0.46 0.61 0.68 0.71 0.72 0.76 0.86 1.01 1.21 1.45 1.72 2.00 2.25 2.44 2.50 2.43 2.22 1.92 1.59 1.27 0.98 0.75 0.55 0.41 0.34 0.36 0.45 0.56 0.64 0.64 0.55 0.41 0.29 0.25 0.31 0.44 0.57 0.64 0.63 0.54 0.43 0.35 0.35 0.43 0.58 0.78 1.03 1.32 1.65 1.98 2.27 2.45 85.0 + 87.5 2.24 2.24 2.13 1.93 1.68 1.41 1.16 0.93 0.74 0.61 0.54 0.53 0.53 0.49 0.37 0.17 0.00 0.00 0.00 0.00 0.03 0.21 0.35 0.41 0.42 0.44 0.50 0.64 0.83 1.04 1.28 1.54 1.82 2.10 2.34 2.48 2.47 2.31 2.04 1.72 1.39 1.10 0.86 0.64 0.46 0.32 0.26 0.27 0.34 0.39 0.39 0.30 0.14 0.00 0.00 0.00 0.12 0.32 0.47 0.53 0.51 0.43 0.37 0.38 0.48 0.64 0.85 1.09 1.36 1.64 1.90 2.12 2.24 2.24 2.13 1.93 1.68 1.41 1.16 0.93 0.74 0.61 0.54 0.53 0.53 0.49 0.37 0.17 0.00 0.00 0.00 0.00 0.03 0.21 0.35 0.41 0.42 0.44 0.50 0.64 0.83 1.04 1.28 1.54 1.82 2.10 2.34 2.48 2.47 2.31 2.04 1.72 1.39 1.10 0.86 0.64 0.46 0.32 0.26 0.27 0.34 0.39 0.39 0.30 0.14 0.00 0.00 0.00 0.12 0.32 0.47 0.53 0.51 0.43 0.37 0.38 0.48 0.64 0.85 1.09 1.36 1.64 1.90 2.12 2.24 87.5 + 90.0 2.14 2.09 1.94 1.71 1.46 1.21 0.96 0.74 0.56 0.46 0.42 0.44 0.48 0.45 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.29 0.27 0.26 0.30 0.42 0.60 0.82 1.05 1.30 1.58 1.89 2.18 2.40 2.47 2.40 2.18 1.89 1.58 1.30 1.05 0.82 0.60 0.42 0.30 0.26 0.27 0.29 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.45 0.48 0.44 0.42 0.46 0.56 0.74 0.96 1.21 1.46 1.71 1.94 2.09 2.14 2.09 1.94 1.71 1.46 1.21 0.96 0.74 0.56 0.46 0.42 0.44 0.48 0.45 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.29 0.27 0.26 0.30 0.42 0.60 0.82 1.05 1.30 1.58 1.89 2.18 2.40 2.47 2.40 2.18 1.89 1.58 1.30 1.05 0.82 0.60 0.42 0.30 0.26 0.27 0.29 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.45 0.48 0.44 0.42 0.46 0.56 0.74 0.96 1.21 1.46 1.71 1.94 2.09 2.14 90.0 + + 7.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.21 FMAX-I = 5.21 ) PHI2 = 8. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 0.0 + 2.5 1.82 1.56 1.32 1.09 0.87 0.67 0.50 0.39 0.35 0.35 0.33 0.24 0.07 0.00 0.00 0.00 0.00 0.00 0.07 0.27 0.38 0.41 0.41 0.43 0.52 0.67 0.86 1.07 1.29 1.53 1.77 2.00 2.16 2.22 2.17 2.01 1.80 1.56 1.32 1.10 0.88 0.69 0.53 0.44 0.41 0.41 0.38 0.26 0.06 0.00 0.00 0.00 0.00 0.00 0.05 0.23 0.33 0.35 0.36 0.40 0.52 0.69 0.90 1.12 1.34 1.59 1.84 2.08 2.25 2.31 2.24 2.06 1.82 1.56 1.32 1.09 0.87 0.67 0.50 0.39 0.35 0.35 0.33 0.24 0.07 0.00 0.00 0.00 0.00 0.00 0.07 0.27 0.38 0.41 0.41 0.43 0.52 0.67 0.86 1.07 1.29 1.53 1.77 2.00 2.16 2.22 2.17 2.01 1.80 1.56 1.32 1.10 0.88 0.69 0.53 0.44 0.41 0.41 0.38 0.26 0.06 0.00 0.00 0.00 0.00 0.00 0.05 0.23 0.33 0.35 0.36 0.40 0.52 0.69 0.90 1.12 1.34 1.59 1.84 2.08 2.25 2.31 2.24 2.06 1.82 2.5 + 5.0 1.84 1.53 1.25 0.99 0.77 0.56 0.39 0.28 0.24 0.26 0.29 0.27 0.16 0.00 0.00 0.00 0.00 0.00 0.16 0.36 0.46 0.48 0.44 0.40 0.43 0.54 0.71 0.92 1.17 1.42 1.68 1.91 2.08 2.15 2.12 1.97 1.76 1.51 1.26 1.01 0.79 0.60 0.49 0.45 0.46 0.48 0.45 0.33 0.12 0.00 0.00 0.00 0.00 0.00 0.13 0.26 0.30 0.29 0.29 0.34 0.47 0.65 0.87 1.11 1.36 1.64 1.94 2.22 2.41 2.47 2.37 2.14 1.84 1.53 1.25 0.99 0.77 0.56 0.39 0.28 0.24 0.26 0.29 0.27 0.16 0.00 0.00 0.00 0.00 0.00 0.16 0.36 0.46 0.48 0.44 0.40 0.43 0.54 0.71 0.92 1.17 1.42 1.68 1.91 2.08 2.15 2.12 1.97 1.76 1.51 1.26 1.01 0.79 0.60 0.49 0.45 0.46 0.48 0.45 0.33 0.12 0.00 0.00 0.00 0.00 0.00 0.13 0.26 0.30 0.29 0.29 0.34 0.47 0.65 0.87 1.11 1.36 1.64 1.94 2.22 2.41 2.47 2.37 2.14 1.84 5.0 + 7.5 1.80 1.42 1.09 0.82 0.59 0.39 0.22 0.11 0.08 0.12 0.20 0.25 0.22 0.11 0.00 0.00 0.00 0.00 0.16 0.35 0.47 0.48 0.40 0.30 0.26 0.30 0.45 0.67 0.94 1.22 1.48 1.71 1.88 1.96 1.94 1.82 1.63 1.37 1.09 0.81 0.57 0.41 0.35 0.37 0.44 0.49 0.46 0.32 0.12 0.00 0.00 0.00 0.00 0.09 0.22 0.28 0.26 0.22 0.22 0.29 0.43 0.62 0.84 1.07 1.34 1.66 2.01 2.33 2.55 2.60 2.46 2.17 1.80 1.42 1.09 0.82 0.59 0.39 0.22 0.11 0.08 0.12 0.20 0.25 0.22 0.11 0.00 0.00 0.00 0.00 0.16 0.35 0.47 0.48 0.40 0.30 0.26 0.30 0.45 0.67 0.94 1.22 1.48 1.71 1.88 1.96 1.94 1.82 1.63 1.37 1.09 0.81 0.57 0.41 0.35 0.37 0.44 0.49 0.46 0.32 0.12 0.00 0.00 0.00 0.00 0.09 0.22 0.28 0.26 0.22 0.22 0.29 0.43 0.62 0.84 1.07 1.34 1.66 2.01 2.33 2.55 2.60 2.46 2.17 1.80 7.5 + 10.0 1.62 1.19 0.84 0.58 0.38 0.20 0.05 0.00 0.00 0.00 0.03 0.13 0.17 0.10 0.00 0.00 0.00 0.00 0.00 0.19 0.33 0.36 0.26 0.12 0.00 0.00 0.11 0.34 0.63 0.92 1.18 1.39 1.54 1.62 1.62 1.54 1.36 1.11 0.80 0.50 0.26 0.12 0.12 0.21 0.33 0.40 0.36 0.20 0.00 0.00 0.00 0.00 0.02 0.19 0.29 0.29 0.23 0.17 0.19 0.28 0.44 0.62 0.81 1.02 1.27 1.60 1.97 2.32 2.55 2.58 2.41 2.05 1.62 1.19 0.84 0.58 0.38 0.20 0.05 0.00 0.00 0.00 0.03 0.13 0.17 0.10 0.00 0.00 0.00 0.00 0.00 0.19 0.33 0.36 0.26 0.12 0.00 0.00 0.11 0.34 0.63 0.92 1.18 1.39 1.54 1.62 1.62 1.54 1.36 1.11 0.80 0.50 0.26 0.12 0.12 0.21 0.33 0.40 0.36 0.20 0.00 0.00 0.00 0.00 0.02 0.19 0.29 0.29 0.23 0.17 0.19 0.28 0.44 0.62 0.81 1.02 1.27 1.60 1.97 2.32 2.55 2.58 2.41 2.05 1.62 10.0 + 12.5 1.33 0.88 0.53 0.30 0.16 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.17 0.09 0.00 0.00 0.00 0.00 0.04 0.33 0.63 0.87 1.04 1.15 1.22 1.24 1.19 1.05 0.82 0.51 0.19 0.00 0.00 0.00 0.02 0.19 0.26 0.20 0.01 0.00 0.00 0.00 0.00 0.03 0.23 0.32 0.30 0.22 0.18 0.22 0.35 0.51 0.68 0.81 0.96 1.16 1.46 1.82 2.17 2.40 2.42 2.21 1.81 1.33 0.88 0.53 0.30 0.16 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.17 0.09 0.00 0.00 0.00 0.00 0.04 0.33 0.63 0.87 1.04 1.15 1.22 1.24 1.19 1.05 0.82 0.51 0.19 0.00 0.00 0.00 0.02 0.19 0.26 0.20 0.01 0.00 0.00 0.00 0.00 0.03 0.23 0.32 0.30 0.22 0.18 0.22 0.35 0.51 0.68 0.81 0.96 1.16 1.46 1.82 2.17 2.40 2.42 2.21 1.81 1.33 12.5 + 15.0 1.04 0.58 0.26 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.18 0.46 0.67 0.80 0.87 0.92 0.95 0.94 0.85 0.64 0.33 0.01 0.00 0.00 0.00 0.00 0.12 0.20 0.11 0.00 0.00 0.00 0.00 0.00 0.03 0.25 0.35 0.31 0.24 0.22 0.30 0.47 0.65 0.79 0.87 0.94 1.07 1.31 1.64 1.97 2.19 2.20 1.96 1.54 1.04 0.58 0.26 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.18 0.46 0.67 0.80 0.87 0.92 0.95 0.94 0.85 0.64 0.33 0.01 0.00 0.00 0.00 0.00 0.12 0.20 0.11 0.00 0.00 0.00 0.00 0.00 0.03 0.25 0.35 0.31 0.24 0.22 0.30 0.47 0.65 0.79 0.87 0.94 1.07 1.31 1.64 1.97 2.19 2.20 1.96 1.54 1.04 15.0 + 17.5 0.87 0.41 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.16 0.13 0.00 0.00 0.00 0.00 0.00 0.24 0.51 0.69 0.78 0.82 0.85 0.89 0.91 0.86 0.68 0.40 0.07 0.00 0.00 0.00 0.02 0.23 0.31 0.20 0.00 0.00 0.00 0.00 0.00 0.08 0.32 0.41 0.37 0.29 0.29 0.41 0.61 0.82 0.95 0.99 1.00 1.06 1.24 1.53 1.84 2.05 2.06 1.82 1.38 0.87 0.41 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.16 0.13 0.00 0.00 0.00 0.00 0.00 0.24 0.51 0.69 0.78 0.82 0.85 0.89 0.91 0.86 0.68 0.40 0.07 0.00 0.00 0.00 0.02 0.23 0.31 0.20 0.00 0.00 0.00 0.00 0.00 0.08 0.32 0.41 0.37 0.29 0.29 0.41 0.61 0.82 0.95 0.99 1.00 1.06 1.24 1.53 1.84 2.05 2.06 1.82 1.38 0.87 17.5 + 20.0 0.89 0.42 0.12 0.00 0.02 0.06 0.05 0.00 0.00 0.00 0.00 0.04 0.21 0.25 0.11 0.00 0.00 0.00 0.00 0.00 0.31 0.50 0.48 0.30 0.07 0.00 0.00 0.21 0.50 0.75 0.91 0.98 0.99 1.01 1.06 1.10 1.07 0.93 0.66 0.33 0.07 0.00 0.05 0.27 0.49 0.58 0.46 0.17 0.00 0.00 0.00 0.00 0.24 0.46 0.53 0.47 0.39 0.39 0.52 0.76 1.00 1.14 1.18 1.15 1.16 1.29 1.54 1.84 2.06 2.08 1.85 1.41 0.89 0.42 0.12 0.00 0.02 0.06 0.05 0.00 0.00 0.00 0.00 0.04 0.21 0.25 0.11 0.00 0.00 0.00 0.00 0.00 0.31 0.50 0.48 0.30 0.07 0.00 0.00 0.21 0.50 0.75 0.91 0.98 0.99 1.01 1.06 1.10 1.07 0.93 0.66 0.33 0.07 0.00 0.05 0.27 0.49 0.58 0.46 0.17 0.00 0.00 0.00 0.00 0.24 0.46 0.53 0.47 0.39 0.39 0.52 0.76 1.00 1.14 1.18 1.15 1.16 1.29 1.54 1.84 2.06 2.08 1.85 1.41 0.89 20.0 + 22.5 1.07 0.60 0.29 0.19 0.23 0.30 0.30 0.22 0.11 0.08 0.18 0.39 0.62 0.72 0.63 0.38 0.13 0.02 0.14 0.44 0.77 0.95 0.92 0.71 0.44 0.29 0.31 0.51 0.79 1.04 1.19 1.24 1.24 1.25 1.30 1.34 1.33 1.21 0.95 0.63 0.36 0.23 0.29 0.51 0.75 0.86 0.76 0.49 0.17 0.00 0.00 0.18 0.47 0.69 0.75 0.67 0.55 0.52 0.66 0.91 1.18 1.36 1.41 1.37 1.35 1.44 1.66 1.94 2.17 2.22 2.01 1.59 1.07 0.60 0.29 0.19 0.23 0.30 0.30 0.22 0.11 0.08 0.18 0.39 0.62 0.72 0.63 0.38 0.13 0.02 0.14 0.44 0.77 0.95 0.92 0.71 0.44 0.29 0.31 0.51 0.79 1.04 1.19 1.24 1.24 1.25 1.30 1.34 1.33 1.21 0.95 0.63 0.36 0.23 0.29 0.51 0.75 0.86 0.76 0.49 0.17 0.00 0.00 0.18 0.47 0.69 0.75 0.67 0.55 0.52 0.66 0.91 1.18 1.36 1.41 1.37 1.35 1.44 1.66 1.94 2.17 2.22 2.01 1.59 1.07 22.5 + 25.0 1.30 0.83 0.53 0.44 0.51 0.60 0.62 0.54 0.43 0.40 0.52 0.78 1.06 1.21 1.14 0.90 0.62 0.48 0.56 0.83 1.12 1.28 1.22 0.97 0.68 0.49 0.49 0.66 0.93 1.16 1.31 1.35 1.35 1.35 1.38 1.42 1.42 1.31 1.08 0.77 0.48 0.33 0.37 0.57 0.83 0.98 0.94 0.71 0.41 0.20 0.20 0.42 0.73 0.98 1.06 0.97 0.83 0.76 0.85 1.09 1.37 1.58 1.65 1.61 1.56 1.60 1.78 2.05 2.29 2.37 2.20 1.81 1.30 0.83 0.53 0.44 0.51 0.60 0.62 0.54 0.43 0.40 0.52 0.78 1.06 1.21 1.14 0.90 0.62 0.48 0.56 0.83 1.12 1.28 1.22 0.97 0.68 0.49 0.49 0.66 0.93 1.16 1.31 1.35 1.35 1.35 1.38 1.42 1.42 1.31 1.08 0.77 0.48 0.33 0.37 0.57 0.83 0.98 0.94 0.71 0.41 0.20 0.20 0.42 0.73 0.98 1.06 0.97 0.83 0.76 0.85 1.09 1.37 1.58 1.65 1.61 1.56 1.60 1.78 2.05 2.29 2.37 2.20 1.81 1.30 25.0 + 27.5 1.44 1.01 0.74 0.69 0.79 0.91 0.94 0.85 0.73 0.69 0.82 1.10 1.40 1.55 1.46 1.18 0.85 0.65 0.68 0.90 1.16 1.29 1.20 0.93 0.61 0.40 0.38 0.53 0.77 0.99 1.13 1.17 1.15 1.14 1.16 1.20 1.20 1.12 0.92 0.64 0.36 0.18 0.19 0.38 0.65 0.86 0.89 0.73 0.47 0.30 0.33 0.59 0.98 1.32 1.48 1.43 1.27 1.14 1.16 1.34 1.59 1.80 1.87 1.81 1.71 1.69 1.80 2.04 2.29 2.40 2.27 1.92 1.44 1.01 0.74 0.69 0.79 0.91 0.94 0.85 0.73 0.69 0.82 1.10 1.40 1.55 1.46 1.18 0.85 0.65 0.68 0.90 1.16 1.29 1.20 0.93 0.61 0.40 0.38 0.53 0.77 0.99 1.13 1.17 1.15 1.14 1.16 1.20 1.20 1.12 0.92 0.64 0.36 0.18 0.19 0.38 0.65 0.86 0.89 0.73 0.47 0.30 0.33 0.59 0.98 1.32 1.48 1.43 1.27 1.14 1.16 1.34 1.59 1.80 1.87 1.81 1.71 1.69 1.80 2.04 2.29 2.40 2.27 1.92 1.44 27.5 + 30.0 1.45 1.06 0.86 0.87 1.02 1.18 1.22 1.12 0.97 0.92 1.04 1.31 1.58 1.69 1.53 1.16 0.74 0.46 0.43 0.60 0.84 0.95 0.85 0.57 0.25 0.03 0.00 0.14 0.36 0.56 0.68 0.71 0.69 0.66 0.67 0.72 0.75 0.71 0.58 0.34 0.08 0.00 0.00 0.05 0.33 0.59 0.70 0.61 0.42 0.29 0.37 0.72 1.24 1.74 2.04 2.07 1.90 1.70 1.60 1.68 1.86 2.02 2.05 1.94 1.76 1.65 1.69 1.88 2.12 2.26 2.19 1.88 1.45 1.06 0.86 0.87 1.02 1.18 1.22 1.12 0.97 0.92 1.04 1.31 1.58 1.69 1.53 1.16 0.74 0.46 0.43 0.60 0.84 0.95 0.85 0.57 0.25 0.03 0.00 0.14 0.36 0.56 0.68 0.71 0.69 0.66 0.67 0.72 0.75 0.71 0.58 0.34 0.08 0.00 0.00 0.05 0.33 0.59 0.70 0.61 0.42 0.29 0.37 0.72 1.24 1.74 2.04 2.07 1.90 1.70 1.60 1.68 1.86 2.02 2.05 1.94 1.76 1.65 1.69 1.88 2.12 2.26 2.19 1.88 1.45 30.0 + 32.5 1.36 1.02 0.87 0.95 1.17 1.37 1.43 1.33 1.17 1.09 1.20 1.45 1.68 1.71 1.44 0.95 0.41 0.04 0.00 0.10 0.32 0.44 0.35 0.08 0.00 0.00 0.00 0.00 0.00 0.08 0.19 0.20 0.16 0.13 0.14 0.20 0.29 0.33 0.27 0.11 0.00 0.00 0.00 0.00 0.08 0.39 0.56 0.54 0.39 0.30 0.45 0.90 1.57 2.26 2.73 2.86 2.70 2.41 2.17 2.09 2.15 2.21 2.17 1.98 1.71 1.50 1.47 1.62 1.86 2.03 2.00 1.74 1.36 1.02 0.87 0.95 1.17 1.37 1.43 1.33 1.17 1.09 1.20 1.45 1.68 1.71 1.44 0.95 0.41 0.04 0.00 0.10 0.32 0.44 0.35 0.08 0.00 0.00 0.00 0.00 0.00 0.08 0.19 0.20 0.16 0.13 0.14 0.20 0.29 0.33 0.27 0.11 0.00 0.00 0.00 0.00 0.08 0.39 0.56 0.54 0.39 0.30 0.45 0.90 1.57 2.26 2.73 2.86 2.70 2.41 2.17 2.09 2.15 2.21 2.17 1.98 1.71 1.50 1.47 1.62 1.86 2.03 2.00 1.74 1.36 32.5 + 35.0 1.26 0.95 0.83 0.96 1.23 1.47 1.56 1.48 1.33 1.27 1.39 1.63 1.83 1.78 1.41 0.78 0.13 0.00 0.00 0.00 0.00 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.20 0.24 0.15 0.00 0.00 0.00 0.00 0.10 0.43 0.65 0.67 0.55 0.47 0.65 1.18 1.99 2.85 3.48 3.72 3.56 3.17 2.77 2.51 2.41 2.36 2.22 1.94 1.59 1.31 1.23 1.37 1.63 1.83 1.84 1.62 1.26 0.95 0.83 0.96 1.23 1.47 1.56 1.48 1.33 1.27 1.39 1.63 1.83 1.78 1.41 0.78 0.13 0.00 0.00 0.00 0.00 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.20 0.24 0.15 0.00 0.00 0.00 0.00 0.10 0.43 0.65 0.67 0.55 0.47 0.65 1.18 1.99 2.85 3.48 3.72 3.56 3.17 2.77 2.51 2.41 2.36 2.22 1.94 1.59 1.31 1.23 1.37 1.63 1.83 1.84 1.62 1.26 35.0 + 37.5 1.25 0.92 0.81 0.95 1.24 1.52 1.65 1.61 1.51 1.51 1.69 1.98 2.18 2.09 1.63 0.89 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.02 0.23 0.44 0.56 0.52 0.36 0.15 0.04 0.13 0.40 0.74 0.98 1.02 0.90 0.80 0.97 1.53 2.42 3.40 4.16 4.47 4.30 3.82 3.27 2.85 2.60 2.43 2.20 1.86 1.46 1.15 1.05 1.21 1.51 1.77 1.82 1.61 1.25 0.92 0.81 0.95 1.24 1.52 1.65 1.61 1.51 1.51 1.69 1.98 2.18 2.09 1.63 0.89 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.02 0.23 0.44 0.56 0.52 0.36 0.15 0.04 0.13 0.40 0.74 0.98 1.02 0.90 0.80 0.97 1.53 2.42 3.40 4.16 4.47 4.30 3.82 3.27 2.85 2.60 2.43 2.20 1.86 1.46 1.15 1.05 1.21 1.51 1.77 1.82 1.61 1.25 37.5 + 40.0 1.34 0.98 0.83 0.95 1.25 1.55 1.72 1.75 1.74 1.85 2.13 2.51 2.77 2.68 2.17 1.35 0.51 0.00 0.00 0.00 0.14 0.33 0.30 0.07 0.00 0.00 0.00 0.00 0.19 0.39 0.46 0.41 0.30 0.22 0.25 0.40 0.64 0.90 1.06 1.05 0.89 0.66 0.52 0.56 0.81 1.15 1.39 1.43 1.28 1.14 1.25 1.79 2.70 3.73 4.56 4.91 4.74 4.20 3.55 3.01 2.65 2.41 2.14 1.77 1.36 1.05 0.98 1.18 1.54 1.85 1.93 1.72 1.34 0.98 0.83 0.95 1.25 1.55 1.72 1.75 1.74 1.85 2.13 2.51 2.77 2.68 2.17 1.35 0.51 0.00 0.00 0.00 0.14 0.33 0.30 0.07 0.00 0.00 0.00 0.00 0.19 0.39 0.46 0.41 0.30 0.22 0.25 0.40 0.64 0.90 1.06 1.05 0.89 0.66 0.52 0.56 0.81 1.15 1.39 1.43 1.28 1.14 1.25 1.79 2.70 3.73 4.56 4.91 4.74 4.20 3.55 3.01 2.65 2.41 2.14 1.77 1.36 1.05 0.98 1.18 1.54 1.85 1.93 1.72 1.34 40.0 + 42.5 1.49 1.09 0.90 0.99 1.28 1.61 1.83 1.93 2.03 2.27 2.69 3.18 3.52 3.47 2.95 2.08 1.17 0.52 0.28 0.42 0.70 0.90 0.86 0.63 0.36 0.21 0.28 0.51 0.79 1.00 1.05 0.96 0.80 0.68 0.68 0.81 1.05 1.31 1.46 1.45 1.26 1.01 0.83 0.84 1.07 1.39 1.62 1.64 1.45 1.26 1.31 1.79 2.66 3.69 4.54 4.92 4.76 4.21 3.52 2.95 2.57 2.31 2.05 1.70 1.31 1.02 0.99 1.24 1.65 2.00 2.11 1.90 1.49 1.09 0.90 0.99 1.28 1.61 1.83 1.93 2.03 2.27 2.69 3.18 3.52 3.47 2.95 2.08 1.17 0.52 0.28 0.42 0.70 0.90 0.86 0.63 0.36 0.21 0.28 0.51 0.79 1.00 1.05 0.96 0.80 0.68 0.68 0.81 1.05 1.31 1.46 1.45 1.26 1.01 0.83 0.84 1.07 1.39 1.62 1.64 1.45 1.26 1.31 1.79 2.66 3.69 4.54 4.92 4.76 4.21 3.52 2.95 2.57 2.31 2.05 1.70 1.31 1.02 0.99 1.24 1.65 2.00 2.11 1.90 1.49 42.5 + 45.0 1.62 1.20 0.99 1.07 1.36 1.71 1.99 2.17 2.37 2.72 3.26 3.86 4.29 4.28 3.77 2.87 1.91 1.19 0.90 1.00 1.25 1.43 1.38 1.13 0.84 0.68 0.75 0.98 1.26 1.45 1.46 1.33 1.12 0.96 0.91 1.00 1.19 1.40 1.52 1.47 1.25 0.97 0.77 0.76 0.97 1.27 1.48 1.48 1.27 1.04 1.03 1.44 2.25 3.24 4.07 4.47 4.34 3.84 3.21 2.70 2.37 2.17 1.96 1.65 1.29 1.04 1.03 1.30 1.73 2.11 2.24 2.04 1.62 1.20 0.99 1.07 1.36 1.71 1.99 2.17 2.37 2.72 3.26 3.86 4.29 4.28 3.77 2.87 1.91 1.19 0.90 1.00 1.25 1.43 1.38 1.13 0.84 0.68 0.75 0.98 1.26 1.45 1.46 1.33 1.12 0.96 0.91 1.00 1.19 1.40 1.52 1.47 1.25 0.97 0.77 0.76 0.97 1.27 1.48 1.48 1.27 1.04 1.03 1.44 2.25 3.24 4.07 4.47 4.34 3.84 3.21 2.70 2.37 2.17 1.96 1.65 1.29 1.04 1.03 1.30 1.73 2.11 2.24 2.04 1.62 45.0 + 47.5 1.69 1.29 1.10 1.19 1.51 1.89 2.21 2.45 2.72 3.14 3.74 4.40 4.87 4.91 4.41 3.51 2.50 1.72 1.35 1.37 1.58 1.71 1.63 1.36 1.05 0.88 0.92 1.13 1.39 1.54 1.52 1.35 1.10 0.90 0.80 0.84 0.97 1.12 1.17 1.08 0.85 0.57 0.36 0.35 0.54 0.82 1.02 1.01 0.80 0.54 0.50 0.84 1.58 2.50 3.30 3.70 3.63 3.22 2.72 2.33 2.12 2.02 1.89 1.63 1.31 1.06 1.04 1.30 1.73 2.12 2.25 2.08 1.69 1.29 1.10 1.19 1.51 1.89 2.21 2.45 2.72 3.14 3.74 4.40 4.87 4.91 4.41 3.51 2.50 1.72 1.35 1.37 1.58 1.71 1.63 1.36 1.05 0.88 0.92 1.13 1.39 1.54 1.52 1.35 1.10 0.90 0.80 0.84 0.97 1.12 1.17 1.08 0.85 0.57 0.36 0.35 0.54 0.82 1.02 1.01 0.80 0.54 0.50 0.84 1.58 2.50 3.30 3.70 3.63 3.22 2.72 2.33 2.12 2.02 1.89 1.63 1.31 1.06 1.04 1.30 1.73 2.12 2.25 2.08 1.69 47.5 + 50.0 1.69 1.36 1.22 1.35 1.70 2.11 2.46 2.73 3.01 3.43 4.02 4.67 5.15 5.21 4.74 3.84 2.82 1.99 1.54 1.48 1.61 1.69 1.58 1.29 0.96 0.76 0.76 0.94 1.16 1.29 1.24 1.05 0.80 0.57 0.45 0.45 0.52 0.60 0.61 0.49 0.26 0.00 0.00 0.00 0.02 0.29 0.48 0.47 0.26 0.02 0.00 0.25 0.91 1.74 2.47 2.86 2.84 2.54 2.17 1.94 1.87 1.89 1.84 1.63 1.33 1.07 1.03 1.25 1.65 2.02 2.16 2.03 1.69 1.36 1.22 1.35 1.70 2.11 2.46 2.73 3.01 3.43 4.02 4.67 5.15 5.21 4.74 3.84 2.82 1.99 1.54 1.48 1.61 1.69 1.58 1.29 0.96 0.76 0.76 0.94 1.16 1.29 1.24 1.05 0.80 0.57 0.45 0.45 0.52 0.60 0.61 0.49 0.26 0.00 0.00 0.00 0.02 0.29 0.48 0.47 0.26 0.02 0.00 0.25 0.91 1.74 2.47 2.86 2.84 2.54 2.17 1.94 1.87 1.89 1.84 1.63 1.33 1.07 1.03 1.25 1.65 2.02 2.16 2.03 1.69 50.0 + 52.5 1.69 1.43 1.35 1.53 1.90 2.33 2.68 2.93 3.17 3.52 4.03 4.62 5.06 5.12 4.70 3.86 2.87 2.02 1.52 1.38 1.43 1.47 1.33 1.03 0.69 0.46 0.43 0.56 0.75 0.86 0.83 0.66 0.42 0.22 0.10 0.07 0.11 0.16 0.13 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.16 0.00 0.00 0.00 0.00 0.50 1.23 1.86 2.21 2.20 1.97 1.72 1.61 1.66 1.76 1.77 1.61 1.31 1.05 0.98 1.17 1.53 1.88 2.04 1.95 1.69 1.43 1.35 1.53 1.90 2.33 2.68 2.93 3.17 3.52 4.03 4.62 5.06 5.12 4.70 3.86 2.87 2.02 1.52 1.38 1.43 1.47 1.33 1.03 0.69 0.46 0.43 0.56 0.75 0.86 0.83 0.66 0.42 0.22 0.10 0.07 0.11 0.16 0.13 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.16 0.00 0.00 0.00 0.00 0.50 1.23 1.86 2.21 2.20 1.97 1.72 1.61 1.66 1.76 1.77 1.61 1.31 1.05 0.98 1.17 1.53 1.88 2.04 1.95 1.69 52.5 + 55.0 1.72 1.53 1.50 1.70 2.07 2.48 2.81 3.01 3.17 3.40 3.77 4.23 4.61 4.68 4.33 3.60 2.70 1.89 1.38 1.19 1.20 1.21 1.07 0.79 0.45 0.20 0.13 0.23 0.39 0.52 0.52 0.41 0.24 0.08 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.21 0.23 0.08 0.00 0.00 0.00 0.47 1.08 1.60 1.86 1.83 1.62 1.42 1.37 1.48 1.62 1.66 1.51 1.23 0.98 0.90 1.07 1.40 1.75 1.94 1.91 1.72 1.53 1.50 1.70 2.07 2.48 2.81 3.01 3.17 3.40 3.77 4.23 4.61 4.68 4.33 3.60 2.70 1.89 1.38 1.19 1.20 1.21 1.07 0.79 0.45 0.20 0.13 0.23 0.39 0.52 0.52 0.41 0.24 0.08 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.21 0.23 0.08 0.00 0.00 0.00 0.47 1.08 1.60 1.86 1.83 1.62 1.42 1.37 1.48 1.62 1.66 1.51 1.23 0.98 0.90 1.07 1.40 1.75 1.94 1.91 1.72 55.0 + 57.5 1.77 1.63 1.63 1.83 2.17 2.53 2.80 2.93 2.99 3.07 3.28 3.60 3.89 3.97 3.72 3.13 2.38 1.68 1.21 1.02 1.01 1.03 0.92 0.68 0.36 0.11 0.02 0.09 0.25 0.40 0.48 0.45 0.36 0.26 0.20 0.19 0.22 0.23 0.20 0.11 0.00 0.00 0.00 0.00 0.07 0.36 0.58 0.62 0.49 0.30 0.21 0.35 0.73 1.21 1.61 1.77 1.68 1.45 1.24 1.19 1.29 1.42 1.45 1.31 1.05 0.82 0.76 0.94 1.28 1.64 1.87 1.89 1.77 1.63 1.63 1.83 2.17 2.53 2.80 2.93 2.99 3.07 3.28 3.60 3.89 3.97 3.72 3.13 2.38 1.68 1.21 1.02 1.01 1.03 0.92 0.68 0.36 0.11 0.02 0.09 0.25 0.40 0.48 0.45 0.36 0.26 0.20 0.19 0.22 0.23 0.20 0.11 0.00 0.00 0.00 0.00 0.07 0.36 0.58 0.62 0.49 0.30 0.21 0.35 0.73 1.21 1.61 1.77 1.68 1.45 1.24 1.19 1.29 1.42 1.45 1.31 1.05 0.82 0.76 0.94 1.28 1.64 1.87 1.89 1.77 57.5 + 60.0 1.79 1.70 1.71 1.87 2.16 2.46 2.67 2.72 2.67 2.62 2.67 2.83 3.03 3.12 2.98 2.56 1.98 1.41 1.02 0.86 0.88 0.93 0.89 0.71 0.44 0.20 0.09 0.15 0.32 0.52 0.67 0.74 0.74 0.69 0.66 0.65 0.66 0.67 0.64 0.54 0.39 0.25 0.19 0.27 0.50 0.79 1.02 1.08 0.96 0.77 0.65 0.73 1.02 1.40 1.69 1.77 1.62 1.34 1.10 1.00 1.04 1.12 1.13 0.99 0.76 0.57 0.55 0.75 1.12 1.50 1.77 1.85 1.79 1.70 1.71 1.87 2.16 2.46 2.67 2.72 2.67 2.62 2.67 2.83 3.03 3.12 2.98 2.56 1.98 1.41 1.02 0.86 0.88 0.93 0.89 0.71 0.44 0.20 0.09 0.15 0.32 0.52 0.67 0.74 0.74 0.69 0.66 0.65 0.66 0.67 0.64 0.54 0.39 0.25 0.19 0.27 0.50 0.79 1.02 1.08 0.96 0.77 0.65 0.73 1.02 1.40 1.69 1.77 1.62 1.34 1.10 1.00 1.04 1.12 1.13 0.99 0.76 0.57 0.55 0.75 1.12 1.50 1.77 1.85 1.79 60.0 + 62.5 1.75 1.70 1.71 1.83 2.06 2.30 2.45 2.45 2.33 2.17 2.07 2.10 2.22 2.31 2.25 1.98 1.57 1.13 0.82 0.70 0.75 0.86 0.89 0.79 0.59 0.38 0.26 0.29 0.47 0.71 0.94 1.09 1.16 1.16 1.13 1.10 1.10 1.09 1.04 0.93 0.77 0.60 0.51 0.57 0.77 1.04 1.27 1.33 1.21 1.01 0.85 0.88 1.09 1.40 1.63 1.67 1.48 1.18 0.90 0.74 0.73 0.76 0.73 0.59 0.40 0.25 0.27 0.50 0.88 1.29 1.60 1.75 1.75 1.70 1.71 1.83 2.06 2.30 2.45 2.45 2.33 2.17 2.07 2.10 2.22 2.31 2.25 1.98 1.57 1.13 0.82 0.70 0.75 0.86 0.89 0.79 0.59 0.38 0.26 0.29 0.47 0.71 0.94 1.09 1.16 1.16 1.13 1.10 1.10 1.09 1.04 0.93 0.77 0.60 0.51 0.57 0.77 1.04 1.27 1.33 1.21 1.01 0.85 0.88 1.09 1.40 1.63 1.67 1.48 1.18 0.90 0.74 0.73 0.76 0.73 0.59 0.40 0.25 0.27 0.50 0.88 1.29 1.60 1.75 1.75 62.5 + 65.0 1.65 1.65 1.67 1.76 1.94 2.12 2.23 2.21 2.05 1.82 1.64 1.56 1.60 1.68 1.68 1.53 1.23 0.89 0.64 0.55 0.62 0.77 0.87 0.85 0.71 0.52 0.39 0.40 0.56 0.82 1.10 1.32 1.44 1.47 1.43 1.38 1.34 1.30 1.23 1.11 0.92 0.73 0.60 0.61 0.77 1.01 1.21 1.26 1.14 0.91 0.72 0.69 0.86 1.12 1.33 1.37 1.21 0.92 0.63 0.45 0.38 0.38 0.34 0.22 0.05 0.00 0.00 0.21 0.59 1.01 1.36 1.58 1.65 1.65 1.67 1.76 1.94 2.12 2.23 2.21 2.05 1.82 1.64 1.56 1.60 1.68 1.68 1.53 1.23 0.89 0.64 0.55 0.62 0.77 0.87 0.85 0.71 0.52 0.39 0.40 0.56 0.82 1.10 1.32 1.44 1.47 1.43 1.38 1.34 1.30 1.23 1.11 0.92 0.73 0.60 0.61 0.77 1.01 1.21 1.26 1.14 0.91 0.72 0.69 0.86 1.12 1.33 1.37 1.21 0.92 0.63 0.45 0.38 0.38 0.34 0.22 0.05 0.00 0.00 0.21 0.59 1.01 1.36 1.58 1.65 65.0 + 67.5 1.57 1.64 1.68 1.75 1.88 2.02 2.11 2.08 1.92 1.68 1.45 1.31 1.30 1.36 1.39 1.30 1.08 0.79 0.56 0.46 0.53 0.69 0.83 0.87 0.77 0.60 0.45 0.42 0.55 0.80 1.10 1.37 1.53 1.57 1.53 1.44 1.36 1.29 1.21 1.07 0.88 0.67 0.51 0.47 0.58 0.78 0.95 0.99 0.85 0.61 0.39 0.32 0.43 0.67 0.89 0.97 0.86 0.62 0.36 0.18 0.10 0.08 0.05 0.00 0.00 0.00 0.00 0.00 0.34 0.76 1.14 1.42 1.57 1.64 1.68 1.75 1.88 2.02 2.11 2.08 1.92 1.68 1.45 1.31 1.30 1.36 1.39 1.30 1.08 0.79 0.56 0.46 0.53 0.69 0.83 0.87 0.77 0.60 0.45 0.42 0.55 0.80 1.10 1.37 1.53 1.57 1.53 1.44 1.36 1.29 1.21 1.07 0.88 0.67 0.51 0.47 0.58 0.78 0.95 0.99 0.85 0.61 0.39 0.32 0.43 0.67 0.89 0.97 0.86 0.62 0.36 0.18 0.10 0.08 0.05 0.00 0.00 0.00 0.00 0.00 0.34 0.76 1.14 1.42 1.57 67.5 + 70.0 1.61 1.74 1.81 1.87 1.95 2.04 2.11 2.09 1.95 1.74 1.51 1.36 1.33 1.37 1.41 1.35 1.17 0.90 0.66 0.54 0.57 0.72 0.87 0.93 0.86 0.68 0.51 0.43 0.50 0.73 1.03 1.31 1.50 1.56 1.51 1.41 1.29 1.19 1.09 0.96 0.77 0.56 0.39 0.32 0.39 0.55 0.69 0.73 0.60 0.35 0.12 0.01 0.09 0.30 0.52 0.64 0.60 0.42 0.21 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.24 0.64 1.04 1.38 1.61 1.74 1.81 1.87 1.95 2.04 2.11 2.09 1.95 1.74 1.51 1.36 1.33 1.37 1.41 1.35 1.17 0.90 0.66 0.54 0.57 0.72 0.87 0.93 0.86 0.68 0.51 0.43 0.50 0.73 1.03 1.31 1.50 1.56 1.51 1.41 1.29 1.19 1.09 0.96 0.77 0.56 0.39 0.32 0.39 0.55 0.69 0.73 0.60 0.35 0.12 0.01 0.09 0.30 0.52 0.64 0.60 0.42 0.21 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.24 0.64 1.04 1.38 1.61 70.0 + 72.5 1.83 2.01 2.10 2.13 2.15 2.19 2.21 2.19 2.08 1.91 1.73 1.60 1.57 1.61 1.65 1.61 1.45 1.20 0.95 0.81 0.81 0.92 1.06 1.11 1.04 0.86 0.66 0.54 0.57 0.75 1.03 1.32 1.53 1.61 1.57 1.44 1.30 1.16 1.04 0.91 0.74 0.55 0.39 0.31 0.34 0.48 0.61 0.66 0.57 0.36 0.13 0.00 0.03 0.19 0.40 0.54 0.55 0.44 0.27 0.13 0.05 0.03 0.02 0.00 0.00 0.00 0.00 0.07 0.35 0.72 1.14 1.53 1.83 2.01 2.10 2.13 2.15 2.19 2.21 2.19 2.08 1.91 1.73 1.60 1.57 1.61 1.65 1.61 1.45 1.20 0.95 0.81 0.81 0.92 1.06 1.11 1.04 0.86 0.66 0.54 0.57 0.75 1.03 1.32 1.53 1.61 1.57 1.44 1.30 1.16 1.04 0.91 0.74 0.55 0.39 0.31 0.34 0.48 0.61 0.66 0.57 0.36 0.13 0.00 0.03 0.19 0.40 0.54 0.55 0.44 0.27 0.13 0.05 0.03 0.02 0.00 0.00 0.00 0.00 0.07 0.35 0.72 1.14 1.53 1.83 72.5 + 75.0 2.17 2.38 2.46 2.45 2.40 2.36 2.33 2.28 2.19 2.07 1.94 1.86 1.85 1.89 1.94 1.90 1.76 1.53 1.31 1.17 1.16 1.25 1.35 1.39 1.32 1.15 0.95 0.82 0.81 0.96 1.21 1.49 1.71 1.82 1.79 1.66 1.49 1.31 1.15 1.00 0.84 0.66 0.51 0.43 0.46 0.57 0.71 0.80 0.77 0.63 0.44 0.31 0.30 0.40 0.56 0.68 0.72 0.65 0.53 0.39 0.30 0.25 0.23 0.21 0.19 0.18 0.23 0.37 0.62 0.99 1.42 1.83 2.17 2.38 2.46 2.45 2.40 2.36 2.33 2.28 2.19 2.07 1.94 1.86 1.85 1.89 1.94 1.90 1.76 1.53 1.31 1.17 1.16 1.25 1.35 1.39 1.32 1.15 0.95 0.82 0.81 0.96 1.21 1.49 1.71 1.82 1.79 1.66 1.49 1.31 1.15 1.00 0.84 0.66 0.51 0.43 0.46 0.57 0.71 0.80 0.77 0.63 0.44 0.31 0.30 0.40 0.56 0.68 0.72 0.65 0.53 0.39 0.30 0.25 0.23 0.21 0.19 0.18 0.23 0.37 0.62 0.99 1.42 1.83 2.17 75.0 + 77.5 2.49 2.70 2.76 2.70 2.58 2.45 2.34 2.25 2.16 2.06 1.99 1.95 1.96 2.01 2.04 2.00 1.88 1.70 1.54 1.44 1.45 1.53 1.62 1.65 1.59 1.45 1.29 1.18 1.17 1.30 1.52 1.79 2.02 2.15 2.15 2.03 1.83 1.60 1.38 1.18 1.00 0.82 0.68 0.59 0.60 0.70 0.85 0.98 1.03 0.98 0.87 0.75 0.70 0.74 0.84 0.93 0.98 0.95 0.85 0.72 0.60 0.51 0.46 0.43 0.43 0.46 0.54 0.69 0.95 1.31 1.73 2.15 2.49 2.70 2.76 2.70 2.58 2.45 2.34 2.25 2.16 2.06 1.99 1.95 1.96 2.01 2.04 2.00 1.88 1.70 1.54 1.44 1.45 1.53 1.62 1.65 1.59 1.45 1.29 1.18 1.17 1.30 1.52 1.79 2.02 2.15 2.15 2.03 1.83 1.60 1.38 1.18 1.00 0.82 0.68 0.59 0.60 0.70 0.85 0.98 1.03 0.98 0.87 0.75 0.70 0.74 0.84 0.93 0.98 0.95 0.85 0.72 0.60 0.51 0.46 0.43 0.43 0.46 0.54 0.69 0.95 1.31 1.73 2.15 2.49 77.5 + 80.0 2.65 2.83 2.86 2.75 2.56 2.36 2.17 2.03 1.92 1.84 1.79 1.79 1.81 1.85 1.84 1.79 1.67 1.55 1.45 1.43 1.49 1.58 1.66 1.69 1.65 1.57 1.48 1.44 1.47 1.60 1.82 2.07 2.31 2.47 2.51 2.41 2.20 1.92 1.63 1.35 1.12 0.91 0.75 0.65 0.64 0.71 0.84 1.00 1.12 1.16 1.13 1.05 0.98 0.96 1.00 1.06 1.12 1.12 1.07 0.96 0.82 0.68 0.59 0.55 0.56 0.62 0.74 0.92 1.19 1.53 1.93 2.33 2.65 2.83 2.86 2.75 2.56 2.36 2.17 2.03 1.92 1.84 1.79 1.79 1.81 1.85 1.84 1.79 1.67 1.55 1.45 1.43 1.49 1.58 1.66 1.69 1.65 1.57 1.48 1.44 1.47 1.60 1.82 2.07 2.31 2.47 2.51 2.41 2.20 1.92 1.63 1.35 1.12 0.91 0.75 0.65 0.64 0.71 0.84 1.00 1.12 1.16 1.13 1.05 0.98 0.96 1.00 1.06 1.12 1.12 1.07 0.96 0.82 0.68 0.59 0.55 0.56 0.62 0.74 0.92 1.19 1.53 1.93 2.33 2.65 80.0 + 82.5 2.57 2.71 2.70 2.56 2.33 2.07 1.83 1.63 1.50 1.42 1.40 1.41 1.43 1.43 1.38 1.28 1.16 1.06 1.03 1.09 1.20 1.32 1.40 1.44 1.42 1.40 1.39 1.44 1.53 1.69 1.91 2.16 2.41 2.62 2.71 2.66 2.47 2.16 1.81 1.46 1.16 0.91 0.71 0.58 0.52 0.53 0.63 0.77 0.92 1.03 1.06 1.02 0.95 0.89 0.87 0.91 0.98 1.05 1.05 0.99 0.86 0.70 0.58 0.51 0.53 0.63 0.78 1.00 1.27 1.60 1.96 2.30 2.57 2.71 2.70 2.56 2.33 2.07 1.83 1.63 1.50 1.42 1.40 1.41 1.43 1.43 1.38 1.28 1.16 1.06 1.03 1.09 1.20 1.32 1.40 1.44 1.42 1.40 1.39 1.44 1.53 1.69 1.91 2.16 2.41 2.62 2.71 2.66 2.47 2.16 1.81 1.46 1.16 0.91 0.71 0.58 0.52 0.53 0.63 0.77 0.92 1.03 1.06 1.02 0.95 0.89 0.87 0.91 0.98 1.05 1.05 0.99 0.86 0.70 0.58 0.51 0.53 0.63 0.78 1.00 1.27 1.60 1.96 2.30 2.57 82.5 + 85.0 2.31 2.40 2.35 2.19 1.94 1.65 1.38 1.16 1.00 0.93 0.92 0.95 0.97 0.93 0.83 0.67 0.52 0.43 0.44 0.55 0.70 0.84 0.92 0.95 0.95 0.96 1.03 1.14 1.30 1.49 1.72 1.98 2.25 2.51 2.69 2.72 2.59 2.31 1.93 1.53 1.17 0.87 0.64 0.47 0.35 0.29 0.31 0.40 0.53 0.66 0.73 0.71 0.63 0.53 0.48 0.50 0.60 0.73 0.81 0.82 0.73 0.59 0.45 0.38 0.41 0.52 0.71 0.95 1.23 1.53 1.84 2.11 2.31 2.40 2.35 2.19 1.94 1.65 1.38 1.16 1.00 0.93 0.92 0.95 0.97 0.93 0.83 0.67 0.52 0.43 0.44 0.55 0.70 0.84 0.92 0.95 0.95 0.96 1.03 1.14 1.30 1.49 1.72 1.98 2.25 2.51 2.69 2.72 2.59 2.31 1.93 1.53 1.17 0.87 0.64 0.47 0.35 0.29 0.31 0.40 0.53 0.66 0.73 0.71 0.63 0.53 0.48 0.50 0.60 0.73 0.81 0.82 0.73 0.59 0.45 0.38 0.41 0.52 0.71 0.95 1.23 1.53 1.84 2.11 2.31 85.0 + 87.5 2.05 2.07 1.98 1.79 1.54 1.25 0.97 0.74 0.58 0.51 0.52 0.57 0.60 0.56 0.42 0.23 0.04 0.00 0.00 0.08 0.25 0.39 0.45 0.45 0.43 0.45 0.54 0.69 0.88 1.10 1.33 1.60 1.90 2.22 2.49 2.63 2.60 2.40 2.05 1.65 1.27 0.95 0.69 0.47 0.30 0.17 0.10 0.11 0.19 0.30 0.36 0.35 0.25 0.12 0.03 0.04 0.16 0.33 0.50 0.57 0.54 0.44 0.32 0.26 0.30 0.43 0.65 0.91 1.19 1.46 1.72 1.92 2.05 2.07 1.98 1.79 1.54 1.25 0.97 0.74 0.58 0.51 0.52 0.57 0.60 0.56 0.42 0.23 0.04 0.00 0.00 0.08 0.25 0.39 0.45 0.45 0.43 0.45 0.54 0.69 0.88 1.10 1.33 1.60 1.90 2.22 2.49 2.63 2.60 2.40 2.05 1.65 1.27 0.95 0.69 0.47 0.30 0.17 0.10 0.11 0.19 0.30 0.36 0.35 0.25 0.12 0.03 0.04 0.16 0.33 0.50 0.57 0.54 0.44 0.32 0.26 0.30 0.43 0.65 0.91 1.19 1.46 1.72 1.92 2.05 87.5 + 90.0 1.93 1.88 1.75 1.53 1.27 0.99 0.72 0.49 0.33 0.28 0.32 0.40 0.46 0.44 0.31 0.11 0.00 0.00 0.00 0.00 0.08 0.19 0.23 0.20 0.14 0.12 0.17 0.31 0.49 0.70 0.93 1.20 1.53 1.89 2.24 2.50 2.60 2.50 2.24 1.89 1.53 1.20 0.93 0.70 0.49 0.31 0.17 0.12 0.14 0.20 0.23 0.19 0.08 0.00 0.00 0.00 0.00 0.11 0.31 0.44 0.46 0.40 0.32 0.28 0.33 0.49 0.72 0.99 1.27 1.53 1.75 1.88 1.93 1.88 1.75 1.53 1.27 0.99 0.72 0.49 0.33 0.28 0.32 0.40 0.46 0.44 0.31 0.11 0.00 0.00 0.00 0.00 0.08 0.19 0.23 0.20 0.14 0.12 0.17 0.31 0.49 0.70 0.93 1.20 1.53 1.89 2.24 2.50 2.60 2.50 2.24 1.89 1.53 1.20 0.93 0.70 0.49 0.31 0.17 0.12 0.14 0.20 0.23 0.19 0.08 0.00 0.00 0.00 0.00 0.11 0.31 0.44 0.46 0.40 0.32 0.28 0.33 0.49 0.72 0.99 1.27 1.53 1.75 1.88 1.93 90.0 + + 10.0 DEGREE - PHI2-SECTION ( FMAX ABS = 5.80 FMAX-I = 5.80 ) PHI2 = 10. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 0.0 + 2.5 1.55 1.31 1.08 0.87 0.67 0.50 0.39 0.35 0.35 0.33 0.25 0.07 0.00 0.00 0.00 0.00 0.00 0.07 0.27 0.38 0.41 0.41 0.43 0.51 0.66 0.86 1.07 1.29 1.53 1.77 1.99 2.16 2.23 2.17 2.02 1.80 1.56 1.33 1.10 0.89 0.69 0.54 0.44 0.41 0.41 0.38 0.26 0.06 0.00 0.00 0.00 0.00 0.00 0.05 0.23 0.33 0.35 0.36 0.41 0.52 0.70 0.90 1.12 1.35 1.59 1.84 2.08 2.25 2.31 2.24 2.05 1.81 1.55 1.31 1.08 0.87 0.67 0.50 0.39 0.35 0.35 0.33 0.25 0.07 0.00 0.00 0.00 0.00 0.00 0.07 0.27 0.38 0.41 0.41 0.43 0.51 0.66 0.86 1.07 1.29 1.53 1.77 1.99 2.16 2.23 2.17 2.02 1.80 1.56 1.33 1.10 0.89 0.69 0.54 0.44 0.41 0.41 0.38 0.26 0.06 0.00 0.00 0.00 0.00 0.00 0.05 0.23 0.33 0.35 0.36 0.41 0.52 0.70 0.90 1.12 1.35 1.59 1.84 2.08 2.25 2.31 2.24 2.05 1.81 1.55 2.5 + 5.0 1.52 1.23 0.98 0.75 0.55 0.38 0.27 0.24 0.27 0.30 0.28 0.17 0.00 0.00 0.00 0.00 0.00 0.17 0.37 0.47 0.48 0.43 0.40 0.43 0.53 0.70 0.91 1.16 1.41 1.67 1.91 2.08 2.16 2.13 1.99 1.78 1.53 1.28 1.03 0.80 0.62 0.50 0.45 0.46 0.48 0.45 0.33 0.12 0.00 0.00 0.00 0.00 0.00 0.13 0.26 0.30 0.30 0.30 0.36 0.49 0.67 0.89 1.13 1.38 1.66 1.96 2.23 2.42 2.47 2.36 2.13 1.83 1.52 1.23 0.98 0.75 0.55 0.38 0.27 0.24 0.27 0.30 0.28 0.17 0.00 0.00 0.00 0.00 0.00 0.17 0.37 0.47 0.48 0.43 0.40 0.43 0.53 0.70 0.91 1.16 1.41 1.67 1.91 2.08 2.16 2.13 1.99 1.78 1.53 1.28 1.03 0.80 0.62 0.50 0.45 0.46 0.48 0.45 0.33 0.12 0.00 0.00 0.00 0.00 0.00 0.13 0.26 0.30 0.30 0.30 0.36 0.49 0.67 0.89 1.13 1.38 1.66 1.96 2.23 2.42 2.47 2.36 2.13 1.83 1.52 5.0 + 7.5 1.39 1.06 0.79 0.57 0.37 0.21 0.10 0.08 0.13 0.21 0.26 0.24 0.13 0.00 0.00 0.00 0.00 0.19 0.38 0.49 0.49 0.41 0.31 0.26 0.30 0.44 0.66 0.93 1.21 1.48 1.71 1.89 1.98 1.97 1.86 1.66 1.41 1.13 0.85 0.61 0.45 0.38 0.40 0.46 0.51 0.47 0.34 0.13 0.00 0.00 0.00 0.00 0.11 0.24 0.30 0.29 0.26 0.26 0.33 0.48 0.67 0.89 1.12 1.39 1.71 2.05 2.36 2.56 2.60 2.45 2.15 1.77 1.39 1.06 0.79 0.57 0.37 0.21 0.10 0.08 0.13 0.21 0.26 0.24 0.13 0.00 0.00 0.00 0.00 0.19 0.38 0.49 0.49 0.41 0.31 0.26 0.30 0.44 0.66 0.93 1.21 1.48 1.71 1.89 1.98 1.97 1.86 1.66 1.41 1.13 0.85 0.61 0.45 0.38 0.40 0.46 0.51 0.47 0.34 0.13 0.00 0.00 0.00 0.00 0.11 0.24 0.30 0.29 0.26 0.26 0.33 0.48 0.67 0.89 1.12 1.39 1.71 2.05 2.36 2.56 2.60 2.45 2.15 1.77 1.39 7.5 + 10.0 1.16 0.80 0.54 0.34 0.17 0.03 0.00 0.00 0.00 0.05 0.16 0.20 0.14 0.00 0.00 0.00 0.00 0.03 0.23 0.37 0.39 0.29 0.14 0.03 0.01 0.13 0.35 0.63 0.92 1.19 1.40 1.56 1.66 1.67 1.60 1.43 1.17 0.87 0.57 0.32 0.19 0.18 0.26 0.38 0.45 0.41 0.25 0.04 0.00 0.00 0.00 0.08 0.25 0.35 0.36 0.31 0.26 0.28 0.38 0.54 0.72 0.91 1.11 1.37 1.68 2.04 2.37 2.58 2.59 2.39 2.03 1.58 1.16 0.80 0.54 0.34 0.17 0.03 0.00 0.00 0.00 0.05 0.16 0.20 0.14 0.00 0.00 0.00 0.00 0.03 0.23 0.37 0.39 0.29 0.14 0.03 0.01 0.13 0.35 0.63 0.92 1.19 1.40 1.56 1.66 1.67 1.60 1.43 1.17 0.87 0.57 0.32 0.19 0.18 0.26 0.38 0.45 0.41 0.25 0.04 0.00 0.00 0.00 0.08 0.25 0.35 0.36 0.31 0.26 0.28 0.38 0.54 0.72 0.91 1.11 1.37 1.68 2.04 2.37 2.58 2.59 2.39 2.03 1.58 1.16 10.0 + 12.5 0.84 0.49 0.26 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.22 0.14 0.00 0.00 0.00 0.00 0.07 0.36 0.65 0.89 1.07 1.19 1.28 1.31 1.27 1.14 0.90 0.59 0.27 0.02 0.00 0.00 0.10 0.27 0.35 0.29 0.10 0.00 0.00 0.00 0.00 0.15 0.35 0.44 0.43 0.36 0.32 0.37 0.49 0.66 0.83 0.97 1.11 1.31 1.59 1.93 2.25 2.44 2.43 2.19 1.78 1.29 0.84 0.49 0.26 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.22 0.14 0.00 0.00 0.00 0.00 0.07 0.36 0.65 0.89 1.07 1.19 1.28 1.31 1.27 1.14 0.90 0.59 0.27 0.02 0.00 0.00 0.10 0.27 0.35 0.29 0.10 0.00 0.00 0.00 0.00 0.15 0.35 0.44 0.43 0.36 0.32 0.37 0.49 0.66 0.83 0.97 1.11 1.31 1.59 1.93 2.25 2.44 2.43 2.19 1.78 1.29 0.84 12.5 + 15.0 0.53 0.20 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.06 0.00 0.00 0.00 0.00 0.00 0.22 0.49 0.70 0.83 0.92 0.98 1.03 1.03 0.94 0.73 0.43 0.10 0.00 0.00 0.00 0.02 0.22 0.31 0.22 0.01 0.00 0.00 0.00 0.00 0.18 0.41 0.51 0.49 0.42 0.41 0.49 0.66 0.84 0.98 1.07 1.14 1.26 1.47 1.77 2.06 2.24 2.20 1.94 1.50 0.99 0.53 0.20 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.06 0.00 0.00 0.00 0.00 0.00 0.22 0.49 0.70 0.83 0.92 0.98 1.03 1.03 0.94 0.73 0.43 0.10 0.00 0.00 0.00 0.02 0.22 0.31 0.22 0.01 0.00 0.00 0.00 0.00 0.18 0.41 0.51 0.49 0.42 0.41 0.49 0.66 0.84 0.98 1.07 1.14 1.26 1.47 1.77 2.06 2.24 2.20 1.94 1.50 0.99 0.53 15.0 + 17.5 0.33 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.20 0.18 0.01 0.00 0.00 0.00 0.00 0.27 0.53 0.71 0.81 0.86 0.91 0.97 0.99 0.94 0.77 0.48 0.16 0.00 0.00 0.00 0.10 0.32 0.40 0.30 0.06 0.00 0.00 0.00 0.00 0.24 0.48 0.57 0.55 0.48 0.49 0.61 0.81 1.02 1.16 1.21 1.22 1.26 1.41 1.65 1.91 2.07 2.03 1.76 1.31 0.79 0.33 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.20 0.18 0.01 0.00 0.00 0.00 0.00 0.27 0.53 0.71 0.81 0.86 0.91 0.97 0.99 0.94 0.77 0.48 0.16 0.00 0.00 0.00 0.10 0.32 0.40 0.30 0.06 0.00 0.00 0.00 0.00 0.24 0.48 0.57 0.55 0.48 0.49 0.61 0.81 1.02 1.16 1.21 1.22 1.26 1.41 1.65 1.91 2.07 2.03 1.76 1.31 0.79 0.33 17.5 + 20.0 0.31 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.22 0.27 0.15 0.00 0.00 0.00 0.00 0.00 0.31 0.51 0.50 0.33 0.11 0.00 0.02 0.23 0.50 0.75 0.91 0.99 1.02 1.05 1.11 1.16 1.14 0.99 0.72 0.40 0.13 0.02 0.09 0.30 0.53 0.62 0.52 0.26 0.00 0.00 0.00 0.05 0.35 0.58 0.67 0.63 0.55 0.56 0.70 0.94 1.18 1.34 1.39 1.36 1.35 1.44 1.63 1.86 2.02 2.00 1.74 1.30 0.78 0.31 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.22 0.27 0.15 0.00 0.00 0.00 0.00 0.00 0.31 0.51 0.50 0.33 0.11 0.00 0.02 0.23 0.50 0.75 0.91 0.99 1.02 1.05 1.11 1.16 1.14 0.99 0.72 0.40 0.13 0.02 0.09 0.30 0.53 0.62 0.52 0.26 0.00 0.00 0.00 0.05 0.35 0.58 0.67 0.63 0.55 0.56 0.70 0.94 1.18 1.34 1.39 1.36 1.35 1.44 1.63 1.86 2.02 2.00 1.74 1.30 0.78 0.31 20.0 + 22.5 0.45 0.14 0.03 0.06 0.15 0.19 0.14 0.07 0.05 0.17 0.39 0.62 0.74 0.67 0.44 0.18 0.06 0.15 0.43 0.74 0.94 0.92 0.73 0.48 0.31 0.33 0.51 0.77 1.02 1.17 1.23 1.25 1.27 1.33 1.38 1.37 1.25 1.00 0.68 0.40 0.25 0.30 0.49 0.72 0.84 0.77 0.52 0.22 0.03 0.03 0.23 0.52 0.76 0.84 0.78 0.69 0.67 0.80 1.06 1.33 1.53 1.59 1.56 1.51 1.55 1.69 1.90 2.07 2.07 1.86 1.44 0.92 0.45 0.14 0.03 0.06 0.15 0.19 0.14 0.07 0.05 0.17 0.39 0.62 0.74 0.67 0.44 0.18 0.06 0.15 0.43 0.74 0.94 0.92 0.73 0.48 0.31 0.33 0.51 0.77 1.02 1.17 1.23 1.25 1.27 1.33 1.38 1.37 1.25 1.00 0.68 0.40 0.25 0.30 0.49 0.72 0.84 0.77 0.52 0.22 0.03 0.03 0.23 0.52 0.76 0.84 0.78 0.69 0.67 0.80 1.06 1.33 1.53 1.59 1.56 1.51 1.55 1.69 1.90 2.07 2.07 1.86 1.44 0.92 0.45 22.5 + 25.0 0.66 0.35 0.25 0.31 0.43 0.49 0.46 0.39 0.38 0.51 0.77 1.06 1.23 1.20 0.97 0.70 0.54 0.59 0.82 1.11 1.27 1.24 1.01 0.73 0.53 0.51 0.67 0.91 1.14 1.28 1.34 1.35 1.36 1.40 1.45 1.44 1.34 1.11 0.81 0.52 0.35 0.36 0.53 0.77 0.92 0.90 0.71 0.44 0.24 0.24 0.44 0.75 1.02 1.14 1.09 0.97 0.92 1.00 1.23 1.52 1.74 1.82 1.78 1.70 1.68 1.77 1.95 2.13 2.17 2.00 1.62 1.12 0.66 0.35 0.25 0.31 0.43 0.49 0.46 0.39 0.38 0.51 0.77 1.06 1.23 1.20 0.97 0.70 0.54 0.59 0.82 1.11 1.27 1.24 1.01 0.73 0.53 0.51 0.67 0.91 1.14 1.28 1.34 1.35 1.36 1.40 1.45 1.44 1.34 1.11 0.81 0.52 0.35 0.36 0.53 0.77 0.92 0.90 0.71 0.44 0.24 0.24 0.44 0.75 1.02 1.14 1.09 0.97 0.92 1.00 1.23 1.52 1.74 1.82 1.78 1.70 1.68 1.77 1.95 2.13 2.17 2.00 1.62 1.12 0.66 25.0 + 27.5 0.84 0.56 0.49 0.59 0.74 0.82 0.79 0.71 0.69 0.82 1.09 1.40 1.59 1.55 1.30 0.98 0.77 0.76 0.95 1.19 1.33 1.27 1.03 0.73 0.50 0.45 0.57 0.78 0.99 1.13 1.18 1.18 1.17 1.19 1.23 1.23 1.16 0.98 0.71 0.43 0.24 0.22 0.37 0.61 0.82 0.88 0.76 0.54 0.38 0.41 0.66 1.05 1.41 1.62 1.62 1.50 1.38 1.38 1.54 1.78 1.99 2.06 1.99 1.86 1.76 1.79 1.93 2.11 2.19 2.07 1.74 1.28 0.84 0.56 0.49 0.59 0.74 0.82 0.79 0.71 0.69 0.82 1.09 1.40 1.59 1.55 1.30 0.98 0.77 0.76 0.95 1.19 1.33 1.27 1.03 0.73 0.50 0.45 0.57 0.78 0.99 1.13 1.18 1.18 1.17 1.19 1.23 1.23 1.16 0.98 0.71 0.43 0.24 0.22 0.37 0.61 0.82 0.88 0.76 0.54 0.38 0.41 0.66 1.05 1.41 1.62 1.62 1.50 1.38 1.38 1.54 1.78 1.99 2.06 1.99 1.86 1.76 1.79 1.93 2.11 2.19 2.07 1.74 1.28 0.84 27.5 + 30.0 0.94 0.71 0.69 0.85 1.04 1.14 1.10 0.99 0.94 1.04 1.29 1.58 1.74 1.66 1.35 0.95 0.66 0.59 0.72 0.94 1.07 1.01 0.76 0.45 0.21 0.14 0.23 0.42 0.60 0.73 0.77 0.75 0.73 0.74 0.77 0.81 0.79 0.68 0.47 0.22 0.03 0.00 0.11 0.37 0.63 0.77 0.74 0.60 0.49 0.58 0.91 1.42 1.94 2.30 2.40 2.28 2.08 1.97 2.00 2.14 2.28 2.31 2.18 1.96 1.78 1.72 1.82 1.99 2.10 2.03 1.75 1.34 0.94 0.71 0.69 0.85 1.04 1.14 1.10 0.99 0.94 1.04 1.29 1.58 1.74 1.66 1.35 0.95 0.66 0.59 0.72 0.94 1.07 1.01 0.76 0.45 0.21 0.14 0.23 0.42 0.60 0.73 0.77 0.75 0.73 0.74 0.77 0.81 0.79 0.68 0.47 0.22 0.03 0.00 0.11 0.37 0.63 0.77 0.74 0.60 0.49 0.58 0.91 1.42 1.94 2.30 2.40 2.28 2.08 1.97 2.00 2.14 2.28 2.31 2.18 1.96 1.78 1.72 1.82 1.99 2.10 2.03 1.75 1.34 0.94 30.0 + 32.5 0.99 0.80 0.84 1.05 1.29 1.41 1.36 1.22 1.13 1.20 1.42 1.66 1.76 1.60 1.19 0.69 0.31 0.18 0.28 0.49 0.62 0.57 0.34 0.04 0.00 0.00 0.00 0.00 0.15 0.26 0.29 0.27 0.24 0.24 0.30 0.38 0.44 0.42 0.30 0.11 0.00 0.00 0.00 0.22 0.53 0.74 0.80 0.72 0.67 0.81 1.23 1.89 2.60 3.13 3.34 3.24 2.97 2.71 2.57 2.56 2.59 2.52 2.31 2.01 1.73 1.59 1.64 1.82 1.96 1.95 1.72 1.35 0.99 0.80 0.84 1.05 1.29 1.41 1.36 1.22 1.13 1.20 1.42 1.66 1.76 1.60 1.19 0.69 0.31 0.18 0.28 0.49 0.62 0.57 0.34 0.04 0.00 0.00 0.00 0.00 0.15 0.26 0.29 0.27 0.24 0.24 0.30 0.38 0.44 0.42 0.30 0.11 0.00 0.00 0.00 0.22 0.53 0.74 0.80 0.72 0.67 0.81 1.23 1.89 2.60 3.13 3.34 3.24 2.97 2.71 2.57 2.56 2.59 2.52 2.31 2.01 1.73 1.59 1.64 1.82 1.96 1.95 1.72 1.35 0.99 32.5 + 35.0 1.04 0.87 0.95 1.20 1.47 1.61 1.57 1.42 1.31 1.37 1.57 1.78 1.82 1.57 1.05 0.45 0.00 0.00 0.00 0.09 0.24 0.21 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.05 0.19 0.34 0.42 0.39 0.25 0.07 0.00 0.06 0.31 0.65 0.92 1.03 1.00 0.97 1.14 1.64 2.41 3.28 3.98 4.31 4.23 3.87 3.45 3.13 2.96 2.85 2.68 2.39 2.00 1.65 1.47 1.51 1.70 1.89 1.92 1.72 1.38 1.04 0.87 0.95 1.20 1.47 1.61 1.57 1.42 1.31 1.37 1.57 1.78 1.82 1.57 1.05 0.45 0.00 0.00 0.00 0.09 0.24 0.21 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.05 0.19 0.34 0.42 0.39 0.25 0.07 0.00 0.06 0.31 0.65 0.92 1.03 1.00 0.97 1.14 1.64 2.41 3.28 3.98 4.31 4.23 3.87 3.45 3.13 2.96 2.85 2.68 2.39 2.00 1.65 1.47 1.51 1.70 1.89 1.92 1.72 1.38 1.04 35.0 + 37.5 1.15 0.97 1.04 1.30 1.59 1.75 1.73 1.61 1.54 1.63 1.85 2.07 2.08 1.77 1.16 0.47 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.09 0.05 0.02 0.04 0.16 0.36 0.58 0.73 0.77 0.66 0.48 0.36 0.40 0.63 0.97 1.27 1.41 1.39 1.36 1.52 2.02 2.86 3.84 4.65 5.07 5.00 4.58 4.03 3.55 3.22 3.00 2.75 2.40 1.98 1.60 1.41 1.47 1.70 1.94 2.02 1.85 1.50 1.15 0.97 1.04 1.30 1.59 1.75 1.73 1.61 1.54 1.63 1.85 2.07 2.08 1.77 1.16 0.47 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.09 0.05 0.02 0.04 0.16 0.36 0.58 0.73 0.77 0.66 0.48 0.36 0.40 0.63 0.97 1.27 1.41 1.39 1.36 1.52 2.02 2.86 3.84 4.65 5.07 5.00 4.58 4.03 3.55 3.22 3.00 2.75 2.40 1.98 1.60 1.41 1.47 1.70 1.94 2.02 1.85 1.50 1.15 37.5 + 40.0 1.34 1.12 1.15 1.40 1.69 1.88 1.91 1.85 1.86 2.03 2.34 2.61 2.64 2.29 1.63 0.85 0.23 0.00 0.00 0.22 0.41 0.41 0.23 0.00 0.00 0.00 0.00 0.13 0.35 0.49 0.51 0.46 0.41 0.43 0.55 0.77 1.02 1.21 1.26 1.15 0.95 0.79 0.79 0.99 1.32 1.63 1.77 1.73 1.66 1.77 2.23 3.07 4.07 4.95 5.41 5.36 4.90 4.27 3.69 3.28 2.99 2.71 2.35 1.93 1.57 1.41 1.52 1.82 2.12 2.24 2.09 1.73 1.34 1.12 1.15 1.40 1.69 1.88 1.91 1.85 1.86 2.03 2.34 2.61 2.64 2.29 1.63 0.85 0.23 0.00 0.00 0.22 0.41 0.41 0.23 0.00 0.00 0.00 0.00 0.13 0.35 0.49 0.51 0.46 0.41 0.43 0.55 0.77 1.02 1.21 1.26 1.15 0.95 0.79 0.79 0.99 1.32 1.63 1.77 1.73 1.66 1.77 2.23 3.07 4.07 4.95 5.41 5.36 4.90 4.27 3.69 3.28 2.99 2.71 2.35 1.93 1.57 1.41 1.52 1.82 2.12 2.24 2.09 1.73 1.34 40.0 + 42.5 1.57 1.30 1.29 1.51 1.81 2.03 2.13 2.17 2.29 2.58 3.01 3.37 3.44 3.10 2.39 1.55 0.86 0.52 0.53 0.74 0.93 0.93 0.73 0.46 0.27 0.26 0.43 0.70 0.94 1.06 1.06 0.98 0.90 0.88 0.98 1.18 1.41 1.57 1.60 1.46 1.23 1.03 0.99 1.16 1.47 1.76 1.88 1.82 1.69 1.73 2.12 2.90 3.87 4.75 5.23 5.21 4.76 4.12 3.53 3.11 2.84 2.58 2.26 1.88 1.56 1.45 1.61 1.97 2.33 2.49 2.36 1.99 1.57 1.30 1.29 1.51 1.81 2.03 2.13 2.17 2.29 2.58 3.01 3.37 3.44 3.10 2.39 1.55 0.86 0.52 0.53 0.74 0.93 0.93 0.73 0.46 0.27 0.26 0.43 0.70 0.94 1.06 1.06 0.98 0.90 0.88 0.98 1.18 1.41 1.57 1.60 1.46 1.23 1.03 0.99 1.16 1.47 1.76 1.88 1.82 1.69 1.73 2.12 2.90 3.87 4.75 5.23 5.21 4.76 4.12 3.53 3.11 2.84 2.58 2.26 1.88 1.56 1.45 1.61 1.97 2.33 2.49 2.36 1.99 1.57 42.5 + 45.0 1.76 1.47 1.45 1.66 1.98 2.25 2.42 2.56 2.80 3.21 3.75 4.20 4.34 4.02 3.29 2.39 1.63 1.21 1.16 1.33 1.48 1.46 1.25 0.96 0.76 0.75 0.93 1.20 1.43 1.53 1.48 1.35 1.21 1.15 1.19 1.33 1.50 1.61 1.58 1.40 1.14 0.92 0.85 1.00 1.28 1.55 1.65 1.56 1.39 1.36 1.67 2.35 3.26 4.10 4.58 4.59 4.20 3.63 3.12 2.78 2.58 2.40 2.14 1.82 1.54 1.46 1.66 2.05 2.45 2.65 2.55 2.19 1.76 1.47 1.45 1.66 1.98 2.25 2.42 2.56 2.80 3.21 3.75 4.20 4.34 4.02 3.29 2.39 1.63 1.21 1.16 1.33 1.48 1.46 1.25 0.96 0.76 0.75 0.93 1.20 1.43 1.53 1.48 1.35 1.21 1.15 1.19 1.33 1.50 1.61 1.58 1.40 1.14 0.92 0.85 1.00 1.28 1.55 1.65 1.56 1.39 1.36 1.67 2.35 3.26 4.10 4.58 4.59 4.20 3.63 3.12 2.78 2.58 2.40 2.14 1.82 1.54 1.46 1.66 2.05 2.45 2.65 2.55 2.19 1.76 45.0 + 47.5 1.87 1.61 1.61 1.85 2.20 2.53 2.77 3.00 3.32 3.82 4.43 4.95 5.13 4.84 4.10 3.16 2.33 1.82 1.68 1.77 1.88 1.82 1.58 1.27 1.05 1.02 1.18 1.43 1.62 1.67 1.58 1.39 1.20 1.08 1.07 1.14 1.24 1.27 1.19 0.99 0.72 0.50 0.44 0.58 0.84 1.08 1.17 1.06 0.86 0.79 1.02 1.61 2.42 3.19 3.66 3.70 3.40 2.95 2.57 2.37 2.29 2.21 2.02 1.74 1.49 1.42 1.61 2.00 2.42 2.65 2.58 2.26 1.87 1.61 1.61 1.85 2.20 2.53 2.77 3.00 3.32 3.82 4.43 4.95 5.13 4.84 4.10 3.16 2.33 1.82 1.68 1.77 1.88 1.82 1.58 1.27 1.05 1.02 1.18 1.43 1.62 1.67 1.58 1.39 1.20 1.08 1.07 1.14 1.24 1.27 1.19 0.99 0.72 0.50 0.44 0.58 0.84 1.08 1.17 1.06 0.86 0.79 1.02 1.61 2.42 3.19 3.66 3.70 3.40 2.95 2.57 2.37 2.29 2.21 2.02 1.74 1.49 1.42 1.61 2.00 2.42 2.65 2.58 2.26 1.87 47.5 + 50.0 1.89 1.70 1.76 2.05 2.45 2.83 3.13 3.41 3.77 4.29 4.91 5.45 5.66 5.38 4.66 3.71 2.81 2.22 1.98 1.98 2.02 1.92 1.65 1.32 1.07 1.02 1.14 1.34 1.48 1.49 1.35 1.13 0.90 0.75 0.70 0.72 0.75 0.74 0.63 0.43 0.19 0.01 0.00 0.12 0.37 0.60 0.68 0.57 0.36 0.26 0.43 0.93 1.64 2.32 2.75 2.81 2.59 2.27 2.04 1.97 2.01 2.02 1.90 1.64 1.39 1.30 1.45 1.82 2.22 2.47 2.46 2.21 1.89 1.70 1.76 2.05 2.45 2.83 3.13 3.41 3.77 4.29 4.91 5.45 5.66 5.38 4.66 3.71 2.81 2.22 1.98 1.98 2.02 1.92 1.65 1.32 1.07 1.02 1.14 1.34 1.48 1.49 1.35 1.13 0.90 0.75 0.70 0.72 0.75 0.74 0.63 0.43 0.19 0.01 0.00 0.12 0.37 0.60 0.68 0.57 0.36 0.26 0.43 0.93 1.64 2.32 2.75 2.81 2.59 2.27 2.04 1.97 2.01 2.02 1.90 1.64 1.39 1.30 1.45 1.82 2.22 2.47 2.46 2.21 1.89 50.0 + 52.5 1.85 1.74 1.87 2.21 2.66 3.08 3.41 3.70 4.04 4.51 5.09 5.59 5.80 5.56 4.88 3.95 3.04 2.39 2.06 1.97 1.94 1.80 1.52 1.18 0.91 0.81 0.89 1.04 1.15 1.13 0.98 0.75 0.53 0.38 0.31 0.30 0.31 0.28 0.18 0.01 0.00 0.00 0.00 0.00 0.13 0.35 0.43 0.33 0.13 0.02 0.13 0.54 1.14 1.71 2.08 2.14 1.97 1.74 1.61 1.65 1.77 1.84 1.75 1.51 1.24 1.11 1.23 1.55 1.93 2.20 2.23 2.07 1.85 1.74 1.87 2.21 2.66 3.08 3.41 3.70 4.04 4.51 5.09 5.59 5.80 5.56 4.88 3.95 3.04 2.39 2.06 1.97 1.94 1.80 1.52 1.18 0.91 0.81 0.89 1.04 1.15 1.13 0.98 0.75 0.53 0.38 0.31 0.30 0.31 0.28 0.18 0.01 0.00 0.00 0.00 0.00 0.13 0.35 0.43 0.33 0.13 0.02 0.13 0.54 1.14 1.71 2.08 2.14 1.97 1.74 1.61 1.65 1.77 1.84 1.75 1.51 1.24 1.11 1.23 1.55 1.93 2.20 2.23 2.07 1.85 52.5 + 55.0 1.75 1.73 1.92 2.30 2.77 3.20 3.53 3.78 4.05 4.43 4.90 5.33 5.52 5.33 4.74 3.90 3.03 2.36 1.99 1.83 1.75 1.59 1.31 0.98 0.70 0.57 0.60 0.72 0.81 0.81 0.69 0.50 0.32 0.19 0.13 0.13 0.14 0.12 0.04 0.00 0.00 0.00 0.00 0.00 0.20 0.43 0.51 0.43 0.26 0.13 0.20 0.52 1.00 1.47 1.75 1.77 1.60 1.40 1.32 1.39 1.54 1.62 1.54 1.30 1.02 0.87 0.95 1.24 1.60 1.88 1.97 1.89 1.75 1.73 1.92 2.30 2.77 3.20 3.53 3.78 4.05 4.43 4.90 5.33 5.52 5.33 4.74 3.90 3.03 2.36 1.99 1.83 1.75 1.59 1.31 0.98 0.70 0.57 0.60 0.72 0.81 0.81 0.69 0.50 0.32 0.19 0.13 0.13 0.14 0.12 0.04 0.00 0.00 0.00 0.00 0.00 0.20 0.43 0.51 0.43 0.26 0.13 0.20 0.52 1.00 1.47 1.75 1.77 1.60 1.40 1.32 1.39 1.54 1.62 1.54 1.30 1.02 0.87 0.95 1.24 1.60 1.88 1.97 1.89 1.75 55.0 + 57.5 1.63 1.67 1.88 2.27 2.74 3.15 3.44 3.63 3.80 4.04 4.37 4.70 4.88 4.75 4.29 3.58 2.82 2.20 1.81 1.63 1.53 1.39 1.14 0.83 0.56 0.42 0.42 0.52 0.63 0.67 0.62 0.51 0.39 0.31 0.27 0.28 0.29 0.28 0.23 0.14 0.05 0.00 0.06 0.24 0.50 0.73 0.83 0.77 0.61 0.47 0.49 0.73 1.11 1.47 1.67 1.64 1.44 1.22 1.12 1.16 1.28 1.33 1.24 1.00 0.73 0.58 0.65 0.92 1.27 1.57 1.70 1.69 1.63 1.67 1.88 2.27 2.74 3.15 3.44 3.63 3.80 4.04 4.37 4.70 4.88 4.75 4.29 3.58 2.82 2.20 1.81 1.63 1.53 1.39 1.14 0.83 0.56 0.42 0.42 0.52 0.63 0.67 0.62 0.51 0.39 0.31 0.27 0.28 0.29 0.28 0.23 0.14 0.05 0.00 0.06 0.24 0.50 0.73 0.83 0.77 0.61 0.47 0.49 0.73 1.11 1.47 1.67 1.64 1.44 1.22 1.12 1.16 1.28 1.33 1.24 1.00 0.73 0.58 0.65 0.92 1.27 1.57 1.70 1.69 1.63 57.5 + 60.0 1.48 1.55 1.77 2.14 2.56 2.93 3.17 3.29 3.35 3.44 3.62 3.84 3.99 3.93 3.61 3.07 2.46 1.92 1.58 1.41 1.32 1.22 1.03 0.77 0.53 0.39 0.38 0.47 0.61 0.73 0.77 0.76 0.72 0.67 0.65 0.65 0.66 0.65 0.60 0.51 0.42 0.36 0.40 0.56 0.80 1.02 1.14 1.09 0.94 0.79 0.77 0.93 1.23 1.52 1.66 1.58 1.35 1.09 0.93 0.90 0.95 0.97 0.86 0.63 0.38 0.25 0.32 0.59 0.94 1.25 1.43 1.47 1.48 1.55 1.77 2.14 2.56 2.93 3.17 3.29 3.35 3.44 3.62 3.84 3.99 3.93 3.61 3.07 2.46 1.92 1.58 1.41 1.32 1.22 1.03 0.77 0.53 0.39 0.38 0.47 0.61 0.73 0.77 0.76 0.72 0.67 0.65 0.65 0.66 0.65 0.60 0.51 0.42 0.36 0.40 0.56 0.80 1.02 1.14 1.09 0.94 0.79 0.77 0.93 1.23 1.52 1.66 1.58 1.35 1.09 0.93 0.90 0.95 0.97 0.86 0.63 0.38 0.25 0.32 0.59 0.94 1.25 1.43 1.47 1.48 60.0 + 62.5 1.31 1.41 1.63 1.95 2.32 2.63 2.81 2.86 2.82 2.78 2.83 2.94 3.05 3.05 2.87 2.50 2.04 1.61 1.32 1.18 1.13 1.08 0.96 0.78 0.58 0.44 0.42 0.51 0.69 0.87 1.02 1.10 1.13 1.11 1.09 1.06 1.04 1.01 0.94 0.83 0.70 0.60 0.59 0.71 0.91 1.12 1.24 1.20 1.05 0.88 0.82 0.93 1.18 1.43 1.54 1.46 1.21 0.92 0.70 0.61 0.59 0.56 0.45 0.24 0.03 0.00 0.01 0.27 0.61 0.93 1.14 1.25 1.31 1.41 1.63 1.95 2.32 2.63 2.81 2.86 2.82 2.78 2.83 2.94 3.05 3.05 2.87 2.50 2.04 1.61 1.32 1.18 1.13 1.08 0.96 0.78 0.58 0.44 0.42 0.51 0.69 0.87 1.02 1.10 1.13 1.11 1.09 1.06 1.04 1.01 0.94 0.83 0.70 0.60 0.59 0.71 0.91 1.12 1.24 1.20 1.05 0.88 0.82 0.93 1.18 1.43 1.54 1.46 1.21 0.92 0.70 0.61 0.59 0.56 0.45 0.24 0.03 0.00 0.01 0.27 0.61 0.93 1.14 1.25 1.31 62.5 + 65.0 1.17 1.31 1.52 1.80 2.11 2.36 2.49 2.48 2.37 2.25 2.18 2.20 2.28 2.32 2.24 2.01 1.69 1.35 1.11 0.99 0.97 0.98 0.94 0.81 0.65 0.52 0.48 0.56 0.75 0.98 1.21 1.37 1.45 1.46 1.41 1.35 1.28 1.21 1.11 0.97 0.81 0.66 0.60 0.65 0.81 0.99 1.10 1.06 0.90 0.71 0.62 0.69 0.91 1.15 1.28 1.22 1.00 0.71 0.47 0.33 0.27 0.22 0.11 0.00 0.00 0.00 0.00 0.00 0.32 0.63 0.88 1.05 1.17 1.31 1.52 1.80 2.11 2.36 2.49 2.48 2.37 2.25 2.18 2.20 2.28 2.32 2.24 2.01 1.69 1.35 1.11 0.99 0.97 0.98 0.94 0.81 0.65 0.52 0.48 0.56 0.75 0.98 1.21 1.37 1.45 1.46 1.41 1.35 1.28 1.21 1.11 0.97 0.81 0.66 0.60 0.65 0.81 0.99 1.10 1.06 0.90 0.71 0.62 0.69 0.91 1.15 1.28 1.22 1.00 0.71 0.47 0.33 0.27 0.22 0.11 0.00 0.00 0.00 0.00 0.00 0.32 0.63 0.88 1.05 1.17 65.0 + 67.5 1.16 1.34 1.55 1.79 2.03 2.22 2.30 2.27 2.13 1.96 1.83 1.80 1.84 1.90 1.90 1.77 1.54 1.27 1.05 0.94 0.94 0.97 0.98 0.90 0.77 0.62 0.55 0.59 0.77 1.02 1.30 1.52 1.64 1.65 1.58 1.47 1.35 1.24 1.12 0.97 0.79 0.62 0.51 0.52 0.63 0.78 0.87 0.83 0.66 0.46 0.34 0.38 0.56 0.80 0.96 0.95 0.79 0.54 0.31 0.16 0.09 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.45 0.73 0.96 1.16 1.34 1.55 1.79 2.03 2.22 2.30 2.27 2.13 1.96 1.83 1.80 1.84 1.90 1.90 1.77 1.54 1.27 1.05 0.94 0.94 0.97 0.98 0.90 0.77 0.62 0.55 0.59 0.77 1.02 1.30 1.52 1.64 1.65 1.58 1.47 1.35 1.24 1.12 0.97 0.79 0.62 0.51 0.52 0.63 0.78 0.87 0.83 0.66 0.46 0.34 0.38 0.56 0.80 0.96 0.95 0.79 0.54 0.31 0.16 0.09 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.45 0.73 0.96 1.16 67.5 + 70.0 1.32 1.55 1.76 1.96 2.12 2.25 2.30 2.25 2.12 1.95 1.82 1.76 1.79 1.87 1.90 1.83 1.66 1.43 1.22 1.11 1.09 1.14 1.16 1.11 0.98 0.82 0.70 0.69 0.82 1.06 1.34 1.59 1.74 1.77 1.68 1.52 1.36 1.21 1.07 0.93 0.77 0.61 0.49 0.47 0.55 0.66 0.74 0.71 0.56 0.36 0.22 0.22 0.37 0.58 0.76 0.80 0.70 0.52 0.32 0.19 0.12 0.08 0.03 0.00 0.00 0.00 0.00 0.00 0.17 0.45 0.76 1.05 1.32 1.55 1.76 1.96 2.12 2.25 2.30 2.25 2.12 1.95 1.82 1.76 1.79 1.87 1.90 1.83 1.66 1.43 1.22 1.11 1.09 1.14 1.16 1.11 0.98 0.82 0.70 0.69 0.82 1.06 1.34 1.59 1.74 1.77 1.68 1.52 1.36 1.21 1.07 0.93 0.77 0.61 0.49 0.47 0.55 0.66 0.74 0.71 0.56 0.36 0.22 0.22 0.37 0.58 0.76 0.80 0.70 0.52 0.32 0.19 0.12 0.08 0.03 0.00 0.00 0.00 0.00 0.00 0.17 0.45 0.76 1.05 1.32 70.0 + 72.5 1.66 1.92 2.13 2.27 2.36 2.41 2.42 2.37 2.26 2.13 2.03 1.99 2.03 2.11 2.16 2.13 1.99 1.79 1.60 1.48 1.46 1.49 1.51 1.46 1.33 1.15 1.00 0.94 1.01 1.21 1.47 1.73 1.89 1.92 1.82 1.64 1.43 1.25 1.10 0.97 0.84 0.71 0.62 0.59 0.64 0.74 0.83 0.82 0.71 0.54 0.40 0.37 0.46 0.64 0.80 0.87 0.82 0.69 0.55 0.43 0.36 0.33 0.30 0.24 0.18 0.13 0.13 0.22 0.40 0.67 0.99 1.33 1.66 1.92 2.13 2.27 2.36 2.41 2.42 2.37 2.26 2.13 2.03 1.99 2.03 2.11 2.16 2.13 1.99 1.79 1.60 1.48 1.46 1.49 1.51 1.46 1.33 1.15 1.00 0.94 1.01 1.21 1.47 1.73 1.89 1.92 1.82 1.64 1.43 1.25 1.10 0.97 0.84 0.71 0.62 0.59 0.64 0.74 0.83 0.82 0.71 0.54 0.40 0.37 0.46 0.64 0.80 0.87 0.82 0.69 0.55 0.43 0.36 0.33 0.30 0.24 0.18 0.13 0.13 0.22 0.40 0.67 0.99 1.33 1.66 72.5 + 75.0 2.07 2.35 2.52 2.60 2.61 2.58 2.53 2.47 2.40 2.32 2.27 2.27 2.32 2.41 2.46 2.44 2.34 2.18 2.02 1.93 1.91 1.93 1.94 1.89 1.76 1.59 1.42 1.33 1.36 1.51 1.74 1.98 2.15 2.18 2.09 1.88 1.64 1.42 1.24 1.10 0.99 0.89 0.82 0.80 0.84 0.94 1.04 1.08 1.03 0.93 0.82 0.77 0.81 0.91 1.03 1.10 1.09 1.01 0.91 0.81 0.73 0.68 0.64 0.60 0.55 0.52 0.53 0.60 0.76 1.01 1.34 1.72 2.07 2.35 2.52 2.60 2.61 2.58 2.53 2.47 2.40 2.32 2.27 2.27 2.32 2.41 2.46 2.44 2.34 2.18 2.02 1.93 1.91 1.93 1.94 1.89 1.76 1.59 1.42 1.33 1.36 1.51 1.74 1.98 2.15 2.18 2.09 1.88 1.64 1.42 1.24 1.10 0.99 0.89 0.82 0.80 0.84 0.94 1.04 1.08 1.03 0.93 0.82 0.77 0.81 0.91 1.03 1.10 1.09 1.01 0.91 0.81 0.73 0.68 0.64 0.60 0.55 0.52 0.53 0.60 0.76 1.01 1.34 1.72 2.07 75.0 + 77.5 2.40 2.66 2.79 2.80 2.72 2.61 2.50 2.41 2.35 2.32 2.32 2.37 2.44 2.51 2.55 2.53 2.45 2.34 2.25 2.21 2.22 2.25 2.26 2.21 2.11 1.96 1.83 1.76 1.77 1.89 2.08 2.30 2.46 2.52 2.44 2.23 1.96 1.68 1.44 1.26 1.12 1.02 0.95 0.93 0.97 1.06 1.17 1.27 1.30 1.28 1.22 1.18 1.18 1.22 1.27 1.32 1.33 1.30 1.23 1.15 1.06 0.98 0.91 0.85 0.82 0.81 0.84 0.93 1.09 1.34 1.68 2.05 2.40 2.66 2.79 2.80 2.72 2.61 2.50 2.41 2.35 2.32 2.32 2.37 2.44 2.51 2.55 2.53 2.45 2.34 2.25 2.21 2.22 2.25 2.26 2.21 2.11 1.96 1.83 1.76 1.77 1.89 2.08 2.30 2.46 2.52 2.44 2.23 1.96 1.68 1.44 1.26 1.12 1.02 0.95 0.93 0.97 1.06 1.17 1.27 1.30 1.28 1.22 1.18 1.18 1.22 1.27 1.32 1.33 1.30 1.23 1.15 1.06 0.98 0.91 0.85 0.82 0.81 0.84 0.93 1.09 1.34 1.68 2.05 2.40 77.5 + 80.0 2.50 2.72 2.80 2.75 2.59 2.40 2.22 2.10 2.03 2.03 2.08 2.15 2.22 2.27 2.27 2.22 2.16 2.10 2.09 2.12 2.19 2.24 2.26 2.23 2.16 2.08 2.01 1.99 2.04 2.15 2.31 2.51 2.69 2.78 2.74 2.56 2.27 1.94 1.61 1.34 1.14 1.00 0.90 0.86 0.87 0.94 1.05 1.17 1.28 1.35 1.36 1.35 1.32 1.30 1.30 1.32 1.35 1.36 1.35 1.30 1.20 1.07 0.96 0.88 0.85 0.88 0.96 1.08 1.27 1.53 1.84 2.19 2.50 2.72 2.80 2.75 2.59 2.40 2.22 2.10 2.03 2.03 2.08 2.15 2.22 2.27 2.27 2.22 2.16 2.10 2.09 2.12 2.19 2.24 2.26 2.23 2.16 2.08 2.01 1.99 2.04 2.15 2.31 2.51 2.69 2.78 2.74 2.56 2.27 1.94 1.61 1.34 1.14 1.00 0.90 0.86 0.87 0.94 1.05 1.17 1.28 1.35 1.36 1.35 1.32 1.30 1.30 1.32 1.35 1.36 1.35 1.30 1.20 1.07 0.96 0.88 0.85 0.88 0.96 1.08 1.27 1.53 1.84 2.19 2.50 80.0 + 82.5 2.34 2.51 2.54 2.43 2.22 1.97 1.73 1.56 1.48 1.48 1.55 1.64 1.71 1.71 1.66 1.56 1.48 1.46 1.52 1.63 1.75 1.84 1.87 1.85 1.81 1.80 1.82 1.88 1.97 2.10 2.27 2.47 2.67 2.82 2.86 2.75 2.49 2.13 1.72 1.35 1.05 0.83 0.69 0.60 0.56 0.58 0.66 0.78 0.92 1.05 1.13 1.15 1.11 1.04 0.99 0.99 1.04 1.11 1.17 1.16 1.07 0.93 0.77 0.67 0.65 0.71 0.84 1.02 1.24 1.50 1.79 2.09 2.34 2.51 2.54 2.43 2.22 1.97 1.73 1.56 1.48 1.48 1.55 1.64 1.71 1.71 1.66 1.56 1.48 1.46 1.52 1.63 1.75 1.84 1.87 1.85 1.81 1.80 1.82 1.88 1.97 2.10 2.27 2.47 2.67 2.82 2.86 2.75 2.49 2.13 1.72 1.35 1.05 0.83 0.69 0.60 0.56 0.58 0.66 0.78 0.92 1.05 1.13 1.15 1.11 1.04 0.99 0.99 1.04 1.11 1.17 1.16 1.07 0.93 0.77 0.67 0.65 0.71 0.84 1.02 1.24 1.50 1.79 2.09 2.34 82.5 + 85.0 2.02 2.11 2.10 1.96 1.72 1.43 1.14 0.93 0.83 0.83 0.91 1.01 1.07 1.03 0.92 0.76 0.65 0.64 0.73 0.90 1.06 1.16 1.19 1.17 1.15 1.18 1.27 1.40 1.55 1.71 1.89 2.11 2.36 2.60 2.76 2.76 2.58 2.24 1.80 1.35 0.97 0.67 0.47 0.33 0.23 0.18 0.19 0.26 0.38 0.53 0.65 0.69 0.64 0.55 0.46 0.43 0.50 0.63 0.75 0.81 0.76 0.62 0.45 0.33 0.32 0.41 0.59 0.83 1.08 1.34 1.60 1.83 2.02 2.11 2.10 1.96 1.72 1.43 1.14 0.93 0.83 0.83 0.91 1.01 1.07 1.03 0.92 0.76 0.65 0.64 0.73 0.90 1.06 1.16 1.19 1.17 1.15 1.18 1.27 1.40 1.55 1.71 1.89 2.11 2.36 2.60 2.76 2.76 2.58 2.24 1.80 1.35 0.97 0.67 0.47 0.33 0.23 0.18 0.19 0.26 0.38 0.53 0.65 0.69 0.64 0.55 0.46 0.43 0.50 0.63 0.75 0.81 0.76 0.62 0.45 0.33 0.32 0.41 0.59 0.83 1.08 1.34 1.60 1.83 2.02 85.0 + 87.5 1.70 1.73 1.67 1.50 1.25 0.94 0.64 0.40 0.28 0.28 0.37 0.49 0.55 0.49 0.34 0.14 0.00 0.00 0.05 0.23 0.41 0.51 0.51 0.47 0.44 0.47 0.58 0.74 0.92 1.11 1.31 1.55 1.86 2.19 2.48 2.63 2.58 2.33 1.93 1.47 1.04 0.70 0.45 0.27 0.12 0.00 0.00 0.00 0.00 0.11 0.22 0.27 0.21 0.08 0.00 0.00 0.00 0.13 0.32 0.44 0.44 0.33 0.17 0.05 0.04 0.16 0.38 0.66 0.94 1.20 1.42 1.59 1.70 1.73 1.67 1.50 1.25 0.94 0.64 0.40 0.28 0.28 0.37 0.49 0.55 0.49 0.34 0.14 0.00 0.00 0.05 0.23 0.41 0.51 0.51 0.47 0.44 0.47 0.58 0.74 0.92 1.11 1.31 1.55 1.86 2.19 2.48 2.63 2.58 2.33 1.93 1.47 1.04 0.70 0.45 0.27 0.12 0.00 0.00 0.00 0.00 0.11 0.22 0.27 0.21 0.08 0.00 0.00 0.00 0.13 0.32 0.44 0.44 0.33 0.17 0.05 0.04 0.16 0.38 0.66 0.94 1.20 1.42 1.59 1.70 87.5 + 90.0 1.57 1.53 1.42 1.23 0.97 0.67 0.37 0.13 0.00 0.01 0.11 0.25 0.33 0.29 0.13 0.00 0.00 0.00 0.00 0.00 0.08 0.17 0.15 0.06 0.00 0.00 0.05 0.19 0.37 0.55 0.76 1.02 1.36 1.77 2.17 2.46 2.57 2.46 2.17 1.77 1.36 1.02 0.76 0.55 0.37 0.19 0.05 0.00 0.00 0.06 0.15 0.17 0.08 0.00 0.00 0.00 0.00 0.00 0.13 0.29 0.33 0.25 0.11 0.01 0.00 0.13 0.37 0.67 0.97 1.23 1.42 1.53 1.57 1.53 1.42 1.23 0.97 0.67 0.37 0.13 0.00 0.01 0.11 0.25 0.33 0.29 0.13 0.00 0.00 0.00 0.00 0.00 0.08 0.17 0.15 0.06 0.00 0.00 0.05 0.19 0.37 0.55 0.76 1.02 1.36 1.77 2.17 2.46 2.57 2.46 2.17 1.77 1.36 1.02 0.76 0.55 0.37 0.19 0.05 0.00 0.00 0.06 0.15 0.17 0.08 0.00 0.00 0.00 0.00 0.00 0.13 0.29 0.33 0.25 0.11 0.01 0.00 0.13 0.37 0.67 0.97 1.23 1.42 1.53 1.57 90.0 + + 12.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.95 FMAX-I = 5.95 ) PHI2 = 13. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 0.0 + 2.5 1.31 1.08 0.86 0.66 0.49 0.39 0.35 0.35 0.34 0.25 0.07 0.00 0.00 0.00 0.00 0.00 0.08 0.28 0.39 0.41 0.40 0.43 0.51 0.66 0.85 1.06 1.29 1.52 1.77 1.99 2.16 2.23 2.18 2.02 1.80 1.57 1.33 1.11 0.89 0.70 0.54 0.45 0.41 0.41 0.38 0.26 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.23 0.33 0.35 0.36 0.41 0.53 0.70 0.91 1.13 1.35 1.59 1.85 2.08 2.25 2.31 2.23 2.05 1.81 1.55 1.31 1.08 0.86 0.66 0.49 0.39 0.35 0.35 0.34 0.25 0.07 0.00 0.00 0.00 0.00 0.00 0.08 0.28 0.39 0.41 0.40 0.43 0.51 0.66 0.85 1.06 1.29 1.52 1.77 1.99 2.16 2.23 2.18 2.02 1.80 1.57 1.33 1.11 0.89 0.70 0.54 0.45 0.41 0.41 0.38 0.26 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.23 0.33 0.35 0.36 0.41 0.53 0.70 0.91 1.13 1.35 1.59 1.85 2.08 2.25 2.31 2.23 2.05 1.81 1.55 1.31 2.5 + 5.0 1.22 0.96 0.74 0.54 0.37 0.27 0.24 0.27 0.31 0.29 0.18 0.01 0.00 0.00 0.00 0.00 0.19 0.37 0.47 0.48 0.43 0.40 0.42 0.52 0.69 0.91 1.15 1.41 1.67 1.90 2.08 2.17 2.14 2.01 1.80 1.55 1.30 1.05 0.82 0.64 0.51 0.46 0.47 0.48 0.45 0.33 0.12 0.00 0.00 0.00 0.00 0.00 0.14 0.26 0.31 0.31 0.31 0.37 0.51 0.69 0.91 1.14 1.40 1.68 1.97 2.24 2.42 2.47 2.36 2.12 1.81 1.50 1.22 0.96 0.74 0.54 0.37 0.27 0.24 0.27 0.31 0.29 0.18 0.01 0.00 0.00 0.00 0.00 0.19 0.37 0.47 0.48 0.43 0.40 0.42 0.52 0.69 0.91 1.15 1.41 1.67 1.90 2.08 2.17 2.14 2.01 1.80 1.55 1.30 1.05 0.82 0.64 0.51 0.46 0.47 0.48 0.45 0.33 0.12 0.00 0.00 0.00 0.00 0.00 0.14 0.26 0.31 0.31 0.31 0.37 0.51 0.69 0.91 1.14 1.40 1.68 1.97 2.24 2.42 2.47 2.36 2.12 1.81 1.50 1.22 5.0 + 7.5 1.04 0.77 0.55 0.36 0.20 0.10 0.09 0.14 0.23 0.29 0.26 0.16 0.02 0.00 0.00 0.04 0.22 0.41 0.51 0.50 0.42 0.31 0.26 0.30 0.44 0.66 0.92 1.20 1.47 1.71 1.90 2.00 2.00 1.90 1.71 1.45 1.17 0.89 0.66 0.49 0.42 0.43 0.49 0.53 0.49 0.36 0.16 0.00 0.00 0.00 0.00 0.13 0.27 0.33 0.33 0.30 0.30 0.38 0.53 0.72 0.94 1.17 1.44 1.75 2.09 2.39 2.58 2.60 2.44 2.13 1.75 1.37 1.04 0.77 0.55 0.36 0.20 0.10 0.09 0.14 0.23 0.29 0.26 0.16 0.02 0.00 0.00 0.04 0.22 0.41 0.51 0.50 0.42 0.31 0.26 0.30 0.44 0.66 0.92 1.20 1.47 1.71 1.90 2.00 2.00 1.90 1.71 1.45 1.17 0.89 0.66 0.49 0.42 0.43 0.49 0.53 0.49 0.36 0.16 0.00 0.00 0.00 0.00 0.13 0.27 0.33 0.33 0.30 0.30 0.38 0.53 0.72 0.94 1.17 1.44 1.75 2.09 2.39 2.58 2.60 2.44 2.13 1.75 1.37 1.04 7.5 + 10.0 0.78 0.52 0.32 0.16 0.02 0.00 0.00 0.00 0.09 0.20 0.24 0.18 0.05 0.00 0.00 0.00 0.10 0.29 0.42 0.43 0.33 0.17 0.06 0.04 0.15 0.37 0.65 0.94 1.20 1.42 1.59 1.70 1.73 1.66 1.50 1.25 0.95 0.64 0.40 0.26 0.25 0.33 0.44 0.51 0.46 0.31 0.11 0.00 0.00 0.00 0.14 0.32 0.43 0.44 0.40 0.36 0.38 0.48 0.64 0.82 1.01 1.21 1.46 1.77 2.12 2.43 2.61 2.60 2.38 2.00 1.56 1.13 0.78 0.52 0.32 0.16 0.02 0.00 0.00 0.00 0.09 0.20 0.24 0.18 0.05 0.00 0.00 0.00 0.10 0.29 0.42 0.43 0.33 0.17 0.06 0.04 0.15 0.37 0.65 0.94 1.20 1.42 1.59 1.70 1.73 1.66 1.50 1.25 0.95 0.64 0.40 0.26 0.25 0.33 0.44 0.51 0.46 0.31 0.11 0.00 0.00 0.00 0.14 0.32 0.43 0.44 0.40 0.36 0.38 0.48 0.64 0.82 1.01 1.21 1.46 1.77 2.12 2.43 2.61 2.60 2.38 2.00 1.56 1.13 0.78 10.0 + 12.5 0.46 0.24 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.13 0.10 0.00 0.00 0.00 0.00 0.00 0.05 0.23 0.28 0.20 0.03 0.00 0.00 0.00 0.12 0.40 0.68 0.92 1.10 1.24 1.34 1.39 1.36 1.23 1.00 0.69 0.38 0.13 0.02 0.06 0.20 0.37 0.45 0.39 0.22 0.01 0.00 0.00 0.04 0.27 0.48 0.58 0.57 0.51 0.48 0.52 0.65 0.82 0.98 1.12 1.26 1.46 1.72 2.04 2.33 2.49 2.45 2.18 1.75 1.26 0.81 0.46 0.24 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.13 0.10 0.00 0.00 0.00 0.00 0.00 0.05 0.23 0.28 0.20 0.03 0.00 0.00 0.00 0.12 0.40 0.68 0.92 1.10 1.24 1.34 1.39 1.36 1.23 1.00 0.69 0.38 0.13 0.02 0.06 0.20 0.37 0.45 0.39 0.22 0.01 0.00 0.00 0.04 0.27 0.48 0.58 0.57 0.51 0.48 0.52 0.65 0.82 0.98 1.12 1.26 1.46 1.72 2.04 2.33 2.49 2.45 2.18 1.75 1.26 0.81 0.46 12.5 + 15.0 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.19 0.14 0.00 0.00 0.00 0.00 0.00 0.27 0.54 0.74 0.88 0.98 1.06 1.13 1.13 1.05 0.84 0.54 0.22 0.00 0.00 0.00 0.14 0.34 0.43 0.36 0.16 0.00 0.00 0.00 0.08 0.36 0.59 0.69 0.68 0.62 0.61 0.69 0.85 1.04 1.18 1.27 1.34 1.45 1.64 1.90 2.15 2.28 2.21 1.92 1.46 0.95 0.50 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.19 0.14 0.00 0.00 0.00 0.00 0.00 0.27 0.54 0.74 0.88 0.98 1.06 1.13 1.13 1.05 0.84 0.54 0.22 0.00 0.00 0.00 0.14 0.34 0.43 0.36 0.16 0.00 0.00 0.00 0.08 0.36 0.59 0.69 0.68 0.62 0.61 0.69 0.85 1.04 1.18 1.27 1.34 1.45 1.64 1.90 2.15 2.28 2.21 1.92 1.46 0.95 0.50 0.17 15.0 + 17.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.25 0.24 0.08 0.00 0.00 0.00 0.05 0.32 0.57 0.74 0.85 0.91 0.98 1.05 1.09 1.04 0.87 0.58 0.26 0.01 0.00 0.00 0.20 0.42 0.51 0.43 0.21 0.00 0.00 0.00 0.11 0.42 0.66 0.76 0.75 0.69 0.70 0.81 1.02 1.23 1.37 1.43 1.43 1.47 1.58 1.78 1.98 2.08 2.00 1.71 1.25 0.74 0.28 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.25 0.24 0.08 0.00 0.00 0.00 0.05 0.32 0.57 0.74 0.85 0.91 0.98 1.05 1.09 1.04 0.87 0.58 0.26 0.01 0.00 0.00 0.20 0.42 0.51 0.43 0.21 0.00 0.00 0.00 0.11 0.42 0.66 0.76 0.75 0.69 0.70 0.81 1.02 1.23 1.37 1.43 1.43 1.47 1.58 1.78 1.98 2.08 2.00 1.71 1.25 0.74 0.28 0.00 17.5 + 20.0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.25 0.32 0.21 0.00 0.00 0.00 0.00 0.01 0.32 0.52 0.53 0.37 0.16 0.03 0.07 0.26 0.52 0.76 0.92 1.00 1.05 1.10 1.18 1.23 1.21 1.06 0.80 0.48 0.21 0.09 0.16 0.36 0.57 0.68 0.60 0.37 0.10 0.00 0.00 0.19 0.49 0.73 0.83 0.80 0.74 0.75 0.88 1.12 1.37 1.54 1.59 1.56 1.53 1.58 1.71 1.88 1.97 1.90 1.63 1.19 0.68 0.22 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.25 0.32 0.21 0.00 0.00 0.00 0.00 0.01 0.32 0.52 0.53 0.37 0.16 0.03 0.07 0.26 0.52 0.76 0.92 1.00 1.05 1.10 1.18 1.23 1.21 1.06 0.80 0.48 0.21 0.09 0.16 0.36 0.57 0.68 0.60 0.37 0.10 0.00 0.00 0.19 0.49 0.73 0.83 0.80 0.74 0.75 0.88 1.12 1.37 1.54 1.59 1.56 1.53 1.58 1.71 1.88 1.97 1.90 1.63 1.19 0.68 0.22 0.00 20.0 + 22.5 0.01 0.00 0.00 0.02 0.09 0.08 0.04 0.04 0.16 0.39 0.63 0.76 0.70 0.49 0.23 0.09 0.16 0.41 0.71 0.91 0.91 0.74 0.50 0.34 0.35 0.51 0.76 0.99 1.15 1.22 1.26 1.30 1.37 1.42 1.42 1.29 1.05 0.73 0.45 0.29 0.32 0.49 0.71 0.83 0.78 0.57 0.30 0.12 0.13 0.32 0.61 0.85 0.96 0.92 0.85 0.84 0.96 1.21 1.49 1.69 1.76 1.73 1.66 1.64 1.72 1.85 1.94 1.91 1.67 1.27 0.77 0.31 0.01 0.00 0.00 0.02 0.09 0.08 0.04 0.04 0.16 0.39 0.63 0.76 0.70 0.49 0.23 0.09 0.16 0.41 0.71 0.91 0.91 0.74 0.50 0.34 0.35 0.51 0.76 0.99 1.15 1.22 1.26 1.30 1.37 1.42 1.42 1.29 1.05 0.73 0.45 0.29 0.32 0.49 0.71 0.83 0.78 0.57 0.30 0.12 0.13 0.32 0.61 0.85 0.96 0.92 0.85 0.84 0.96 1.21 1.49 1.69 1.76 1.73 1.66 1.64 1.72 1.85 1.94 1.91 1.67 1.27 0.77 0.31 0.01 22.5 + 25.0 0.17 0.07 0.13 0.26 0.36 0.37 0.34 0.35 0.49 0.75 1.04 1.23 1.22 1.02 0.75 0.57 0.59 0.80 1.06 1.24 1.23 1.03 0.77 0.57 0.54 0.67 0.89 1.11 1.26 1.33 1.35 1.38 1.43 1.47 1.47 1.37 1.15 0.85 0.56 0.38 0.36 0.50 0.72 0.87 0.88 0.72 0.49 0.32 0.32 0.52 0.83 1.11 1.25 1.24 1.15 1.10 1.18 1.40 1.67 1.89 1.97 1.93 1.82 1.73 1.75 1.84 1.94 1.94 1.76 1.40 0.93 0.48 0.17 0.07 0.13 0.26 0.36 0.37 0.34 0.35 0.49 0.75 1.04 1.23 1.22 1.02 0.75 0.57 0.59 0.80 1.06 1.24 1.23 1.03 0.77 0.57 0.54 0.67 0.89 1.11 1.26 1.33 1.35 1.38 1.43 1.47 1.47 1.37 1.15 0.85 0.56 0.38 0.36 0.50 0.72 0.87 0.88 0.72 0.49 0.32 0.32 0.52 0.83 1.11 1.25 1.24 1.15 1.10 1.18 1.40 1.67 1.89 1.97 1.93 1.82 1.73 1.75 1.84 1.94 1.94 1.76 1.40 0.93 0.48 0.17 25.0 + 27.5 0.36 0.29 0.39 0.56 0.68 0.70 0.66 0.66 0.79 1.06 1.37 1.59 1.59 1.38 1.08 0.85 0.81 0.96 1.19 1.35 1.32 1.11 0.82 0.59 0.52 0.61 0.79 0.99 1.13 1.19 1.20 1.21 1.23 1.26 1.27 1.20 1.03 0.78 0.51 0.31 0.26 0.37 0.59 0.79 0.88 0.81 0.64 0.51 0.54 0.78 1.17 1.55 1.79 1.84 1.75 1.64 1.64 1.77 1.98 2.17 2.24 2.16 1.99 1.82 1.76 1.80 1.90 1.94 1.82 1.51 1.08 0.65 0.36 0.29 0.39 0.56 0.68 0.70 0.66 0.66 0.79 1.06 1.37 1.59 1.59 1.38 1.08 0.85 0.81 0.96 1.19 1.35 1.32 1.11 0.82 0.59 0.52 0.61 0.79 0.99 1.13 1.19 1.20 1.21 1.23 1.26 1.27 1.20 1.03 0.78 0.51 0.31 0.26 0.37 0.59 0.79 0.88 0.81 0.64 0.51 0.54 0.78 1.17 1.55 1.79 1.84 1.75 1.64 1.64 1.77 1.98 2.17 2.24 2.16 1.99 1.82 1.76 1.80 1.90 1.94 1.82 1.51 1.08 0.65 0.36 27.5 + 30.0 0.54 0.50 0.65 0.87 1.02 1.04 0.97 0.92 1.01 1.25 1.55 1.74 1.72 1.48 1.12 0.82 0.72 0.83 1.03 1.17 1.14 0.93 0.64 0.39 0.29 0.34 0.48 0.65 0.77 0.81 0.81 0.80 0.81 0.84 0.87 0.86 0.77 0.60 0.37 0.18 0.11 0.20 0.42 0.67 0.85 0.88 0.80 0.73 0.83 1.15 1.65 2.18 2.58 2.73 2.67 2.49 2.36 2.35 2.45 2.55 2.55 2.41 2.15 1.89 1.73 1.73 1.82 1.89 1.83 1.57 1.18 0.79 0.54 0.50 0.65 0.87 1.02 1.04 0.97 0.92 1.01 1.25 1.55 1.74 1.72 1.48 1.12 0.82 0.72 0.83 1.03 1.17 1.14 0.93 0.64 0.39 0.29 0.34 0.48 0.65 0.77 0.81 0.81 0.80 0.81 0.84 0.87 0.86 0.77 0.60 0.37 0.18 0.11 0.20 0.42 0.67 0.85 0.88 0.80 0.73 0.83 1.15 1.65 2.18 2.58 2.73 2.67 2.49 2.36 2.35 2.45 2.55 2.55 2.41 2.15 1.89 1.73 1.73 1.82 1.89 1.83 1.57 1.18 0.79 0.54 30.0 + 32.5 0.69 0.69 0.89 1.15 1.32 1.33 1.23 1.13 1.17 1.36 1.61 1.76 1.69 1.38 0.94 0.57 0.41 0.48 0.66 0.80 0.79 0.60 0.32 0.07 0.00 0.00 0.09 0.23 0.34 0.38 0.37 0.35 0.35 0.39 0.47 0.54 0.55 0.48 0.33 0.16 0.07 0.14 0.36 0.66 0.91 1.04 1.04 1.04 1.19 1.60 2.24 2.94 3.52 3.80 3.77 3.53 3.25 3.07 3.00 2.97 2.88 2.64 2.29 1.94 1.70 1.65 1.74 1.84 1.83 1.62 1.27 0.91 0.69 0.69 0.89 1.15 1.32 1.33 1.23 1.13 1.17 1.36 1.61 1.76 1.69 1.38 0.94 0.57 0.41 0.48 0.66 0.80 0.79 0.60 0.32 0.07 0.00 0.00 0.09 0.23 0.34 0.38 0.37 0.35 0.35 0.39 0.47 0.54 0.55 0.48 0.33 0.16 0.07 0.14 0.36 0.66 0.91 1.04 1.04 1.04 1.19 1.60 2.24 2.94 3.52 3.80 3.77 3.53 3.25 3.07 3.00 2.97 2.88 2.64 2.29 1.94 1.70 1.65 1.74 1.84 1.83 1.62 1.27 0.91 0.69 32.5 + 35.0 0.85 0.87 1.09 1.37 1.56 1.57 1.44 1.31 1.31 1.47 1.68 1.79 1.66 1.27 0.75 0.31 0.09 0.12 0.30 0.46 0.47 0.30 0.03 0.00 0.00 0.00 0.00 0.00 0.06 0.11 0.10 0.08 0.09 0.16 0.29 0.45 0.57 0.59 0.51 0.36 0.27 0.31 0.52 0.84 1.14 1.34 1.40 1.44 1.62 2.08 2.82 3.68 4.41 4.82 4.83 4.53 4.11 3.74 3.50 3.34 3.13 2.82 2.40 1.98 1.70 1.63 1.73 1.88 1.91 1.74 1.41 1.06 0.85 0.87 1.09 1.37 1.56 1.57 1.44 1.31 1.31 1.47 1.68 1.79 1.66 1.27 0.75 0.31 0.09 0.12 0.30 0.46 0.47 0.30 0.03 0.00 0.00 0.00 0.00 0.00 0.06 0.11 0.10 0.08 0.09 0.16 0.29 0.45 0.57 0.59 0.51 0.36 0.27 0.31 0.52 0.84 1.14 1.34 1.40 1.44 1.62 2.08 2.82 3.68 4.41 4.82 4.83 4.53 4.11 3.74 3.50 3.34 3.13 2.82 2.40 1.98 1.70 1.63 1.73 1.88 1.91 1.74 1.41 1.06 0.85 35.0 + 37.5 1.05 1.05 1.26 1.55 1.74 1.76 1.64 1.52 1.52 1.69 1.90 1.99 1.82 1.37 0.77 0.25 0.00 0.00 0.15 0.33 0.35 0.21 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.16 0.16 0.15 0.17 0.27 0.44 0.66 0.85 0.94 0.90 0.76 0.64 0.64 0.83 1.15 1.48 1.71 1.79 1.82 2.00 2.46 3.24 4.18 5.02 5.52 5.56 5.22 4.70 4.19 3.81 3.53 3.26 2.90 2.45 2.02 1.74 1.69 1.84 2.03 2.11 1.98 1.65 1.28 1.05 1.05 1.26 1.55 1.74 1.76 1.64 1.52 1.52 1.69 1.90 1.99 1.82 1.37 0.77 0.25 0.00 0.00 0.15 0.33 0.35 0.21 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.16 0.16 0.15 0.17 0.27 0.44 0.66 0.85 0.94 0.90 0.76 0.64 0.64 0.83 1.15 1.48 1.71 1.79 1.82 2.00 2.46 3.24 4.18 5.02 5.52 5.56 5.22 4.70 4.19 3.81 3.53 3.26 2.90 2.45 2.02 1.74 1.69 1.84 2.03 2.11 1.98 1.65 1.28 1.05 37.5 + 40.0 1.29 1.25 1.42 1.69 1.89 1.94 1.86 1.79 1.86 2.09 2.35 2.47 2.28 1.78 1.12 0.53 0.19 0.16 0.32 0.50 0.54 0.40 0.15 0.00 0.00 0.00 0.09 0.30 0.46 0.54 0.54 0.53 0.55 0.65 0.83 1.07 1.28 1.38 1.33 1.18 1.02 0.98 1.12 1.42 1.75 1.98 2.05 2.05 2.17 2.58 3.33 4.28 5.16 5.70 5.78 5.42 4.84 4.26 3.82 3.50 3.21 2.85 2.43 2.03 1.79 1.80 2.01 2.28 2.41 2.30 1.97 1.57 1.29 1.25 1.42 1.69 1.89 1.94 1.86 1.79 1.86 2.09 2.35 2.47 2.28 1.78 1.12 0.53 0.19 0.16 0.32 0.50 0.54 0.40 0.15 0.00 0.00 0.00 0.09 0.30 0.46 0.54 0.54 0.53 0.55 0.65 0.83 1.07 1.28 1.38 1.33 1.18 1.02 0.98 1.12 1.42 1.75 1.98 2.05 2.05 2.17 2.58 3.33 4.28 5.16 5.70 5.78 5.42 4.84 4.26 3.82 3.50 3.21 2.85 2.43 2.03 1.79 1.80 2.01 2.28 2.41 2.30 1.97 1.57 1.29 40.0 + 42.5 1.55 1.46 1.60 1.85 2.07 2.16 2.16 2.19 2.36 2.68 3.03 3.19 3.02 2.50 1.79 1.12 0.71 0.63 0.76 0.92 0.96 0.81 0.56 0.34 0.26 0.36 0.58 0.82 0.99 1.06 1.05 1.01 1.00 1.07 1.23 1.43 1.60 1.66 1.58 1.38 1.18 1.10 1.21 1.48 1.79 1.99 2.03 1.97 2.02 2.34 3.01 3.90 4.76 5.32 5.41 5.08 4.52 3.95 3.52 3.23 2.99 2.69 2.33 2.00 1.82 1.89 2.17 2.50 2.69 2.62 2.30 1.88 1.55 1.46 1.60 1.85 2.07 2.16 2.16 2.19 2.36 2.68 3.03 3.19 3.02 2.50 1.79 1.12 0.71 0.63 0.76 0.92 0.96 0.81 0.56 0.34 0.26 0.36 0.58 0.82 0.99 1.06 1.05 1.01 1.00 1.07 1.23 1.43 1.60 1.66 1.58 1.38 1.18 1.10 1.21 1.48 1.79 1.99 2.03 1.97 2.02 2.34 3.01 3.90 4.76 5.32 5.41 5.08 4.52 3.95 3.52 3.23 2.99 2.69 2.33 2.00 1.82 1.89 2.17 2.50 2.69 2.62 2.30 1.88 1.55 42.5 + 45.0 1.79 1.68 1.80 2.06 2.31 2.47 2.56 2.69 2.98 3.40 3.84 4.07 3.93 3.39 2.63 1.89 1.40 1.24 1.31 1.44 1.45 1.29 1.02 0.79 0.72 0.83 1.06 1.30 1.46 1.49 1.43 1.34 1.28 1.30 1.40 1.53 1.62 1.62 1.48 1.25 1.02 0.92 1.01 1.25 1.53 1.70 1.70 1.60 1.57 1.79 2.35 3.15 3.94 4.47 4.58 4.31 3.82 3.34 3.00 2.81 2.66 2.45 2.17 1.89 1.76 1.88 2.20 2.59 2.84 2.82 2.53 2.12 1.79 1.68 1.80 2.06 2.31 2.47 2.56 2.69 2.98 3.40 3.84 4.07 3.93 3.39 2.63 1.89 1.40 1.24 1.31 1.44 1.45 1.29 1.02 0.79 0.72 0.83 1.06 1.30 1.46 1.49 1.43 1.34 1.28 1.30 1.40 1.53 1.62 1.62 1.48 1.25 1.02 0.92 1.01 1.25 1.53 1.70 1.70 1.60 1.57 1.79 2.35 3.15 3.94 4.47 4.58 4.31 3.82 3.34 3.00 2.81 2.66 2.45 2.17 1.89 1.76 1.88 2.20 2.59 2.84 2.82 2.53 2.12 1.79 45.0 + 47.5 1.95 1.86 2.01 2.31 2.61 2.85 3.03 3.26 3.64 4.14 4.65 4.93 4.81 4.28 3.47 2.66 2.08 1.82 1.82 1.88 1.85 1.65 1.37 1.13 1.04 1.14 1.35 1.56 1.67 1.64 1.52 1.37 1.25 1.21 1.24 1.29 1.31 1.24 1.07 0.83 0.62 0.53 0.61 0.83 1.08 1.23 1.20 1.07 0.98 1.12 1.57 2.25 2.95 3.43 3.55 3.34 2.96 2.61 2.40 2.33 2.29 2.18 1.96 1.72 1.61 1.73 2.07 2.48 2.78 2.81 2.59 2.24 1.95 1.86 2.01 2.31 2.61 2.85 3.03 3.26 3.64 4.14 4.65 4.93 4.81 4.28 3.47 2.66 2.08 1.82 1.82 1.88 1.85 1.65 1.37 1.13 1.04 1.14 1.35 1.56 1.67 1.64 1.52 1.37 1.25 1.21 1.24 1.29 1.31 1.24 1.07 0.83 0.62 0.53 0.61 0.83 1.08 1.23 1.20 1.07 0.98 1.12 1.57 2.25 2.95 3.43 3.55 3.34 2.96 2.61 2.40 2.33 2.29 2.18 1.96 1.72 1.61 1.73 2.07 2.48 2.78 2.81 2.59 2.24 1.95 47.5 + 50.0 2.00 1.99 2.20 2.56 2.94 3.25 3.51 3.81 4.23 4.77 5.29 5.60 5.51 4.99 4.17 3.31 2.64 2.27 2.16 2.14 2.05 1.83 1.52 1.26 1.15 1.22 1.39 1.54 1.59 1.50 1.31 1.11 0.95 0.87 0.85 0.85 0.82 0.72 0.55 0.35 0.18 0.13 0.23 0.45 0.68 0.80 0.76 0.61 0.49 0.56 0.91 1.47 2.06 2.48 2.60 2.44 2.16 1.93 1.85 1.90 1.95 1.91 1.72 1.49 1.37 1.46 1.77 2.18 2.50 2.61 2.47 2.21 2.00 1.99 2.20 2.56 2.94 3.25 3.51 3.81 4.23 4.77 5.29 5.60 5.51 4.99 4.17 3.31 2.64 2.27 2.16 2.14 2.05 1.83 1.52 1.26 1.15 1.22 1.39 1.54 1.59 1.50 1.31 1.11 0.95 0.87 0.85 0.85 0.82 0.72 0.55 0.35 0.18 0.13 0.23 0.45 0.68 0.80 0.76 0.61 0.49 0.56 0.91 1.47 2.06 2.48 2.60 2.44 2.16 1.93 1.85 1.90 1.95 1.91 1.72 1.49 1.37 1.46 1.77 2.18 2.50 2.61 2.47 2.21 2.00 50.0 + 52.5 1.94 2.01 2.31 2.74 3.18 3.56 3.88 4.20 4.62 5.14 5.64 5.95 5.89 5.41 4.61 3.74 3.01 2.55 2.33 2.22 2.07 1.82 1.49 1.21 1.08 1.10 1.22 1.32 1.31 1.18 0.96 0.74 0.57 0.47 0.43 0.42 0.38 0.30 0.17 0.02 0.00 0.00 0.06 0.28 0.50 0.61 0.58 0.42 0.29 0.30 0.56 1.00 1.48 1.82 1.91 1.78 1.56 1.41 1.42 1.54 1.65 1.64 1.47 1.23 1.07 1.11 1.38 1.76 2.09 2.25 2.20 2.04 1.94 2.01 2.31 2.74 3.18 3.56 3.88 4.20 4.62 5.14 5.64 5.95 5.89 5.41 4.61 3.74 3.01 2.55 2.33 2.22 2.07 1.82 1.49 1.21 1.08 1.10 1.22 1.32 1.31 1.18 0.96 0.74 0.57 0.47 0.43 0.42 0.38 0.30 0.17 0.02 0.00 0.00 0.06 0.28 0.50 0.61 0.58 0.42 0.29 0.30 0.56 1.00 1.48 1.82 1.91 1.78 1.56 1.41 1.42 1.54 1.65 1.64 1.47 1.23 1.07 1.11 1.38 1.76 2.09 2.25 2.20 2.04 1.94 52.5 + 55.0 1.77 1.93 2.28 2.77 3.27 3.70 4.03 4.34 4.71 5.16 5.61 5.90 5.87 5.46 4.75 3.91 3.17 2.65 2.36 2.17 1.97 1.70 1.37 1.08 0.92 0.91 0.98 1.04 1.02 0.89 0.68 0.48 0.33 0.25 0.22 0.21 0.19 0.15 0.07 0.00 0.00 0.00 0.14 0.36 0.57 0.69 0.67 0.53 0.38 0.35 0.53 0.86 1.24 1.49 1.54 1.40 1.20 1.08 1.11 1.25 1.37 1.36 1.18 0.92 0.73 0.73 0.94 1.29 1.62 1.81 1.84 1.77 1.77 1.93 2.28 2.77 3.27 3.70 4.03 4.34 4.71 5.16 5.61 5.90 5.87 5.46 4.75 3.91 3.17 2.65 2.36 2.17 1.97 1.70 1.37 1.08 0.92 0.91 0.98 1.04 1.02 0.89 0.68 0.48 0.33 0.25 0.22 0.21 0.19 0.15 0.07 0.00 0.00 0.00 0.14 0.36 0.57 0.69 0.67 0.53 0.38 0.35 0.53 0.86 1.24 1.49 1.54 1.40 1.20 1.08 1.11 1.25 1.37 1.36 1.18 0.92 0.73 0.73 0.94 1.29 1.62 1.81 1.84 1.77 1.77 55.0 + 57.5 1.51 1.73 2.12 2.63 3.15 3.59 3.91 4.18 4.47 4.82 5.19 5.44 5.46 5.15 4.55 3.83 3.14 2.61 2.27 2.04 1.82 1.54 1.23 0.95 0.78 0.74 0.79 0.84 0.84 0.76 0.62 0.47 0.36 0.31 0.30 0.30 0.30 0.28 0.24 0.20 0.19 0.24 0.38 0.58 0.78 0.91 0.90 0.77 0.62 0.56 0.66 0.91 1.20 1.40 1.40 1.24 1.02 0.88 0.87 0.97 1.06 1.03 0.84 0.58 0.37 0.34 0.51 0.82 1.14 1.36 1.43 1.45 1.51 1.73 2.12 2.63 3.15 3.59 3.91 4.18 4.47 4.82 5.19 5.44 5.46 5.15 4.55 3.83 3.14 2.61 2.27 2.04 1.82 1.54 1.23 0.95 0.78 0.74 0.79 0.84 0.84 0.76 0.62 0.47 0.36 0.31 0.30 0.30 0.30 0.28 0.24 0.20 0.19 0.24 0.38 0.58 0.78 0.91 0.90 0.77 0.62 0.56 0.66 0.91 1.20 1.40 1.40 1.24 1.02 0.88 0.87 0.97 1.06 1.03 0.84 0.58 0.37 0.34 0.51 0.82 1.14 1.36 1.43 1.45 1.51 57.5 + 60.0 1.21 1.46 1.86 2.36 2.86 3.27 3.56 3.76 3.95 4.18 4.44 4.66 4.71 4.52 4.09 3.51 2.92 2.44 2.10 1.86 1.65 1.40 1.13 0.87 0.70 0.65 0.68 0.76 0.81 0.81 0.76 0.70 0.65 0.62 0.61 0.61 0.61 0.59 0.55 0.50 0.46 0.48 0.58 0.74 0.93 1.06 1.06 0.95 0.79 0.70 0.75 0.95 1.19 1.35 1.33 1.16 0.91 0.72 0.64 0.67 0.71 0.65 0.47 0.22 0.02 0.00 0.12 0.40 0.70 0.92 1.04 1.10 1.21 1.46 1.86 2.36 2.86 3.27 3.56 3.76 3.95 4.18 4.44 4.66 4.71 4.52 4.09 3.51 2.92 2.44 2.10 1.86 1.65 1.40 1.13 0.87 0.70 0.65 0.68 0.76 0.81 0.81 0.76 0.70 0.65 0.62 0.61 0.61 0.61 0.59 0.55 0.50 0.46 0.48 0.58 0.74 0.93 1.06 1.06 0.95 0.79 0.70 0.75 0.95 1.19 1.35 1.33 1.16 0.91 0.72 0.64 0.67 0.71 0.65 0.47 0.22 0.02 0.00 0.12 0.40 0.70 0.92 1.04 1.10 1.21 60.0 + 62.5 0.94 1.20 1.58 2.04 2.49 2.85 3.08 3.20 3.29 3.40 3.56 3.73 3.81 3.73 3.47 3.06 2.60 2.19 1.89 1.67 1.48 1.29 1.06 0.84 0.68 0.62 0.65 0.75 0.86 0.96 1.02 1.04 1.04 1.02 1.00 0.97 0.93 0.88 0.81 0.72 0.63 0.59 0.62 0.74 0.90 1.01 1.03 0.92 0.76 0.65 0.67 0.82 1.05 1.21 1.21 1.05 0.79 0.55 0.41 0.37 0.36 0.29 0.12 0.00 0.00 0.00 0.00 0.06 0.32 0.54 0.68 0.79 0.94 1.20 1.58 2.04 2.49 2.85 3.08 3.20 3.29 3.40 3.56 3.73 3.81 3.73 3.47 3.06 2.60 2.19 1.89 1.67 1.48 1.29 1.06 0.84 0.68 0.62 0.65 0.75 0.86 0.96 1.02 1.04 1.04 1.02 1.00 0.97 0.93 0.88 0.81 0.72 0.63 0.59 0.62 0.74 0.90 1.01 1.03 0.92 0.76 0.65 0.67 0.82 1.05 1.21 1.21 1.05 0.79 0.55 0.41 0.37 0.36 0.29 0.12 0.00 0.00 0.00 0.00 0.06 0.32 0.54 0.68 0.79 0.94 62.5 + 65.0 0.79 1.06 1.41 1.81 2.19 2.47 2.63 2.68 2.68 2.69 2.76 2.87 2.97 2.99 2.87 2.62 2.29 1.97 1.71 1.52 1.37 1.23 1.06 0.87 0.72 0.64 0.66 0.76 0.93 1.10 1.26 1.36 1.40 1.39 1.33 1.25 1.15 1.05 0.94 0.81 0.67 0.56 0.54 0.60 0.72 0.82 0.83 0.73 0.57 0.44 0.43 0.57 0.79 0.98 1.02 0.89 0.65 0.41 0.23 0.14 0.10 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.44 0.59 0.79 1.06 1.41 1.81 2.19 2.47 2.63 2.68 2.68 2.69 2.76 2.87 2.97 2.99 2.87 2.62 2.29 1.97 1.71 1.52 1.37 1.23 1.06 0.87 0.72 0.64 0.66 0.76 0.93 1.10 1.26 1.36 1.40 1.39 1.33 1.25 1.15 1.05 0.94 0.81 0.67 0.56 0.54 0.60 0.72 0.82 0.83 0.73 0.57 0.44 0.43 0.57 0.79 0.98 1.02 0.89 0.65 0.41 0.23 0.14 0.10 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.44 0.59 0.79 65.0 + 67.5 0.82 1.11 1.44 1.77 2.06 2.26 2.35 2.34 2.28 2.22 2.22 2.29 2.40 2.48 2.47 2.34 2.12 1.87 1.66 1.50 1.38 1.28 1.15 1.00 0.84 0.74 0.72 0.81 0.98 1.20 1.42 1.59 1.67 1.64 1.54 1.40 1.25 1.10 0.96 0.81 0.65 0.52 0.45 0.47 0.55 0.63 0.64 0.55 0.39 0.25 0.23 0.35 0.56 0.77 0.85 0.78 0.58 0.35 0.17 0.07 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.37 0.58 0.82 1.11 1.44 1.77 2.06 2.26 2.35 2.34 2.28 2.22 2.22 2.29 2.40 2.48 2.47 2.34 2.12 1.87 1.66 1.50 1.38 1.28 1.15 1.00 0.84 0.74 0.72 0.81 0.98 1.20 1.42 1.59 1.67 1.64 1.54 1.40 1.25 1.10 0.96 0.81 0.65 0.52 0.45 0.47 0.55 0.63 0.64 0.55 0.39 0.25 0.23 0.35 0.56 0.77 0.85 0.78 0.58 0.35 0.17 0.07 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.37 0.58 0.82 67.5 + 70.0 1.07 1.38 1.68 1.94 2.13 2.25 2.27 2.22 2.13 2.05 2.03 2.08 2.19 2.30 2.36 2.31 2.18 1.99 1.81 1.67 1.58 1.50 1.40 1.26 1.10 0.96 0.90 0.94 1.09 1.32 1.57 1.77 1.86 1.83 1.70 1.50 1.29 1.11 0.96 0.82 0.69 0.57 0.50 0.50 0.55 0.62 0.63 0.55 0.41 0.28 0.24 0.33 0.52 0.72 0.83 0.80 0.66 0.47 0.31 0.22 0.18 0.14 0.09 0.01 0.00 0.00 0.00 0.00 0.11 0.29 0.51 0.78 1.07 1.38 1.68 1.94 2.13 2.25 2.27 2.22 2.13 2.05 2.03 2.08 2.19 2.30 2.36 2.31 2.18 1.99 1.81 1.67 1.58 1.50 1.40 1.26 1.10 0.96 0.90 0.94 1.09 1.32 1.57 1.77 1.86 1.83 1.70 1.50 1.29 1.11 0.96 0.82 0.69 0.57 0.50 0.50 0.55 0.62 0.63 0.55 0.41 0.28 0.24 0.33 0.52 0.72 0.83 0.80 0.66 0.47 0.31 0.22 0.18 0.14 0.09 0.01 0.00 0.00 0.00 0.00 0.11 0.29 0.51 0.78 1.07 70.0 + 72.5 1.48 1.80 2.06 2.24 2.34 2.37 2.34 2.27 2.18 2.12 2.10 2.16 2.28 2.41 2.49 2.49 2.41 2.28 2.14 2.03 1.96 1.90 1.81 1.67 1.50 1.34 1.24 1.24 1.35 1.55 1.78 1.98 2.08 2.04 1.88 1.63 1.38 1.17 1.02 0.91 0.82 0.74 0.70 0.70 0.75 0.81 0.83 0.79 0.68 0.57 0.53 0.58 0.73 0.88 0.98 0.98 0.89 0.76 0.64 0.56 0.53 0.51 0.48 0.42 0.36 0.32 0.30 0.33 0.42 0.59 0.84 1.15 1.48 1.80 2.06 2.24 2.34 2.37 2.34 2.27 2.18 2.12 2.10 2.16 2.28 2.41 2.49 2.49 2.41 2.28 2.14 2.03 1.96 1.90 1.81 1.67 1.50 1.34 1.24 1.24 1.35 1.55 1.78 1.98 2.08 2.04 1.88 1.63 1.38 1.17 1.02 0.91 0.82 0.74 0.70 0.70 0.75 0.81 0.83 0.79 0.68 0.57 0.53 0.58 0.73 0.88 0.98 0.98 0.89 0.76 0.64 0.56 0.53 0.51 0.48 0.42 0.36 0.32 0.30 0.33 0.42 0.59 0.84 1.15 1.48 72.5 + 75.0 1.91 2.22 2.43 2.54 2.55 2.49 2.41 2.32 2.26 2.24 2.26 2.35 2.47 2.59 2.68 2.70 2.65 2.57 2.49 2.43 2.39 2.34 2.27 2.14 1.98 1.82 1.71 1.67 1.74 1.89 2.09 2.27 2.36 2.31 2.13 1.86 1.57 1.32 1.15 1.04 0.98 0.94 0.93 0.95 1.00 1.06 1.11 1.11 1.07 1.00 0.97 1.00 1.08 1.17 1.24 1.23 1.18 1.10 1.03 0.98 0.95 0.92 0.88 0.83 0.78 0.74 0.72 0.74 0.81 0.98 1.23 1.56 1.91 2.22 2.43 2.54 2.55 2.49 2.41 2.32 2.26 2.24 2.26 2.35 2.47 2.59 2.68 2.70 2.65 2.57 2.49 2.43 2.39 2.34 2.27 2.14 1.98 1.82 1.71 1.67 1.74 1.89 2.09 2.27 2.36 2.31 2.13 1.86 1.57 1.32 1.15 1.04 0.98 0.94 0.93 0.95 1.00 1.06 1.11 1.11 1.07 1.00 0.97 1.00 1.08 1.17 1.24 1.23 1.18 1.10 1.03 0.98 0.95 0.92 0.88 0.83 0.78 0.74 0.72 0.74 0.81 0.98 1.23 1.56 1.91 75.0 + 77.5 2.20 2.48 2.64 2.67 2.59 2.45 2.32 2.22 2.18 2.20 2.28 2.39 2.52 2.62 2.67 2.68 2.66 2.63 2.63 2.64 2.65 2.64 2.58 2.48 2.35 2.23 2.14 2.11 2.16 2.26 2.41 2.56 2.64 2.61 2.44 2.16 1.83 1.53 1.29 1.14 1.06 1.02 1.01 1.03 1.08 1.15 1.22 1.28 1.30 1.31 1.31 1.33 1.36 1.38 1.39 1.37 1.35 1.32 1.31 1.29 1.25 1.20 1.13 1.06 1.02 0.99 1.00 1.04 1.13 1.30 1.55 1.87 2.20 2.48 2.64 2.67 2.59 2.45 2.32 2.22 2.18 2.20 2.28 2.39 2.52 2.62 2.67 2.68 2.66 2.63 2.63 2.64 2.65 2.64 2.58 2.48 2.35 2.23 2.14 2.11 2.16 2.26 2.41 2.56 2.64 2.61 2.44 2.16 1.83 1.53 1.29 1.14 1.06 1.02 1.01 1.03 1.08 1.15 1.22 1.28 1.30 1.31 1.31 1.33 1.36 1.38 1.39 1.37 1.35 1.32 1.31 1.29 1.25 1.20 1.13 1.06 1.02 0.99 1.00 1.04 1.13 1.30 1.55 1.87 2.20 77.5 + 80.0 2.23 2.46 2.56 2.53 2.38 2.17 1.98 1.86 1.83 1.89 2.01 2.14 2.26 2.32 2.32 2.29 2.27 2.30 2.37 2.47 2.54 2.57 2.54 2.47 2.39 2.33 2.31 2.33 2.38 2.47 2.58 2.70 2.79 2.80 2.68 2.43 2.10 1.73 1.40 1.14 0.98 0.89 0.85 0.86 0.89 0.94 1.02 1.10 1.19 1.27 1.33 1.36 1.35 1.32 1.27 1.23 1.23 1.26 1.31 1.33 1.29 1.20 1.09 1.00 0.96 0.97 1.03 1.12 1.25 1.42 1.66 1.95 2.23 2.46 2.56 2.53 2.38 2.17 1.98 1.86 1.83 1.89 2.01 2.14 2.26 2.32 2.32 2.29 2.27 2.30 2.37 2.47 2.54 2.57 2.54 2.47 2.39 2.33 2.31 2.33 2.38 2.47 2.58 2.70 2.79 2.80 2.68 2.43 2.10 1.73 1.40 1.14 0.98 0.89 0.85 0.86 0.89 0.94 1.02 1.10 1.19 1.27 1.33 1.36 1.35 1.32 1.27 1.23 1.23 1.26 1.31 1.33 1.29 1.20 1.09 1.00 0.96 0.97 1.03 1.12 1.25 1.42 1.66 1.95 2.23 80.0 + 82.5 2.01 2.17 2.22 2.13 1.93 1.67 1.43 1.26 1.22 1.30 1.45 1.60 1.69 1.70 1.63 1.54 1.51 1.56 1.70 1.87 2.02 2.08 2.07 2.02 1.99 2.00 2.06 2.15 2.24 2.33 2.43 2.56 2.69 2.77 2.75 2.59 2.28 1.88 1.46 1.08 0.80 0.62 0.52 0.48 0.47 0.49 0.53 0.61 0.73 0.86 0.97 1.02 1.00 0.92 0.82 0.77 0.79 0.88 0.99 1.06 1.04 0.93 0.78 0.66 0.62 0.67 0.79 0.96 1.14 1.33 1.55 1.78 2.01 2.17 2.22 2.13 1.93 1.67 1.43 1.26 1.22 1.30 1.45 1.60 1.69 1.70 1.63 1.54 1.51 1.56 1.70 1.87 2.02 2.08 2.07 2.02 1.99 2.00 2.06 2.15 2.24 2.33 2.43 2.56 2.69 2.77 2.75 2.59 2.28 1.88 1.46 1.08 0.80 0.62 0.52 0.48 0.47 0.49 0.53 0.61 0.73 0.86 0.97 1.02 1.00 0.92 0.82 0.77 0.79 0.88 0.99 1.06 1.04 0.93 0.78 0.66 0.62 0.67 0.79 0.96 1.14 1.33 1.55 1.78 2.01 82.5 + 85.0 1.63 1.73 1.73 1.61 1.38 1.08 0.79 0.59 0.52 0.60 0.75 0.91 0.99 0.94 0.80 0.65 0.57 0.63 0.81 1.03 1.22 1.30 1.30 1.25 1.24 1.30 1.42 1.57 1.70 1.81 1.93 2.08 2.28 2.48 2.61 2.59 2.38 2.00 1.53 1.06 0.66 0.39 0.22 0.13 0.07 0.03 0.01 0.05 0.15 0.29 0.42 0.50 0.47 0.35 0.21 0.13 0.16 0.29 0.47 0.60 0.62 0.51 0.34 0.19 0.15 0.24 0.42 0.66 0.89 1.10 1.29 1.47 1.63 1.73 1.73 1.61 1.38 1.08 0.79 0.59 0.52 0.60 0.75 0.91 0.99 0.94 0.80 0.65 0.57 0.63 0.81 1.03 1.22 1.30 1.30 1.25 1.24 1.30 1.42 1.57 1.70 1.81 1.93 2.08 2.28 2.48 2.61 2.59 2.38 2.00 1.53 1.06 0.66 0.39 0.22 0.13 0.07 0.03 0.01 0.05 0.15 0.29 0.42 0.50 0.47 0.35 0.21 0.13 0.16 0.29 0.47 0.60 0.62 0.51 0.34 0.19 0.15 0.24 0.42 0.66 0.89 1.10 1.29 1.47 1.63 85.0 + 87.5 1.29 1.32 1.28 1.14 0.90 0.59 0.27 0.04 0.00 0.01 0.17 0.33 0.40 0.32 0.13 0.00 0.00 0.00 0.01 0.25 0.44 0.53 0.51 0.44 0.42 0.48 0.62 0.79 0.95 1.08 1.22 1.41 1.69 2.01 2.30 2.46 2.40 2.12 1.68 1.19 0.74 0.41 0.20 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.09 0.04 0.00 0.00 0.00 0.00 0.00 0.01 0.19 0.24 0.14 0.00 0.00 0.00 0.00 0.11 0.39 0.67 0.90 1.07 1.20 1.29 1.32 1.28 1.14 0.90 0.59 0.27 0.04 0.00 0.01 0.17 0.33 0.40 0.32 0.13 0.00 0.00 0.00 0.01 0.25 0.44 0.53 0.51 0.44 0.42 0.48 0.62 0.79 0.95 1.08 1.22 1.41 1.69 2.01 2.30 2.46 2.40 2.12 1.68 1.19 0.74 0.41 0.20 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.09 0.04 0.00 0.00 0.00 0.00 0.00 0.01 0.19 0.24 0.14 0.00 0.00 0.00 0.00 0.11 0.39 0.67 0.90 1.07 1.20 1.29 87.5 + 90.0 1.15 1.13 1.05 0.89 0.65 0.34 0.03 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.02 0.00 0.00 0.00 0.00 0.13 0.28 0.41 0.56 0.78 1.11 1.53 1.96 2.28 2.40 2.28 1.96 1.53 1.11 0.78 0.56 0.41 0.28 0.13 0.00 0.00 0.00 0.00 0.02 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.03 0.34 0.65 0.89 1.05 1.13 1.15 1.13 1.05 0.89 0.65 0.34 0.03 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.02 0.00 0.00 0.00 0.00 0.13 0.28 0.41 0.56 0.78 1.11 1.53 1.96 2.28 2.40 2.28 1.96 1.53 1.11 0.78 0.56 0.41 0.28 0.13 0.00 0.00 0.00 0.00 0.02 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.03 0.34 0.65 0.89 1.05 1.13 1.15 90.0 + + 15.0 DEGREE - PHI2-SECTION ( FMAX ABS = 5.95 FMAX-I = 5.91 ) PHI2 = 15. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.0 + 2.5 1.08 0.86 0.66 0.49 0.39 0.35 0.35 0.34 0.25 0.07 0.00 0.00 0.00 0.00 0.00 0.08 0.28 0.39 0.41 0.40 0.42 0.51 0.66 0.85 1.06 1.28 1.52 1.76 1.99 2.16 2.23 2.18 2.03 1.81 1.57 1.34 1.11 0.90 0.70 0.54 0.45 0.41 0.41 0.37 0.26 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.23 0.33 0.36 0.36 0.41 0.53 0.70 0.91 1.13 1.36 1.60 1.85 2.08 2.25 2.30 2.23 2.05 1.80 1.55 1.30 1.08 0.86 0.66 0.49 0.39 0.35 0.35 0.34 0.25 0.07 0.00 0.00 0.00 0.00 0.00 0.08 0.28 0.39 0.41 0.40 0.42 0.51 0.66 0.85 1.06 1.28 1.52 1.76 1.99 2.16 2.23 2.18 2.03 1.81 1.57 1.34 1.11 0.90 0.70 0.54 0.45 0.41 0.41 0.37 0.26 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.23 0.33 0.36 0.36 0.41 0.53 0.70 0.91 1.13 1.36 1.60 1.85 2.08 2.25 2.30 2.23 2.05 1.80 1.55 1.30 1.08 2.5 + 5.0 0.95 0.73 0.53 0.37 0.27 0.25 0.28 0.32 0.30 0.20 0.03 0.00 0.00 0.00 0.00 0.20 0.38 0.48 0.48 0.43 0.39 0.42 0.52 0.69 0.90 1.14 1.40 1.66 1.90 2.09 2.18 2.16 2.03 1.82 1.57 1.32 1.07 0.84 0.65 0.53 0.47 0.48 0.49 0.45 0.33 0.12 0.00 0.00 0.00 0.00 0.00 0.14 0.27 0.32 0.32 0.33 0.39 0.52 0.71 0.93 1.16 1.42 1.70 1.99 2.25 2.43 2.46 2.35 2.11 1.80 1.49 1.20 0.95 0.73 0.53 0.37 0.27 0.25 0.28 0.32 0.30 0.20 0.03 0.00 0.00 0.00 0.00 0.20 0.38 0.48 0.48 0.43 0.39 0.42 0.52 0.69 0.90 1.14 1.40 1.66 1.90 2.09 2.18 2.16 2.03 1.82 1.57 1.32 1.07 0.84 0.65 0.53 0.47 0.48 0.49 0.45 0.33 0.12 0.00 0.00 0.00 0.00 0.00 0.14 0.27 0.32 0.32 0.33 0.39 0.52 0.71 0.93 1.16 1.42 1.70 1.99 2.25 2.43 2.46 2.35 2.11 1.80 1.49 1.20 0.95 5.0 + 7.5 0.75 0.53 0.35 0.20 0.11 0.10 0.17 0.26 0.31 0.29 0.19 0.05 0.00 0.00 0.08 0.26 0.44 0.53 0.52 0.43 0.32 0.27 0.31 0.45 0.66 0.92 1.20 1.47 1.72 1.91 2.03 2.04 1.94 1.75 1.50 1.22 0.94 0.70 0.54 0.46 0.47 0.52 0.55 0.51 0.38 0.18 0.00 0.00 0.00 0.00 0.16 0.30 0.36 0.37 0.34 0.35 0.43 0.58 0.77 0.99 1.23 1.49 1.80 2.13 2.41 2.59 2.60 2.43 2.11 1.73 1.35 1.02 0.75 0.53 0.35 0.20 0.11 0.10 0.17 0.26 0.31 0.29 0.19 0.05 0.00 0.00 0.08 0.26 0.44 0.53 0.52 0.43 0.32 0.27 0.31 0.45 0.66 0.92 1.20 1.47 1.72 1.91 2.03 2.04 1.94 1.75 1.50 1.22 0.94 0.70 0.54 0.46 0.47 0.52 0.55 0.51 0.38 0.18 0.00 0.00 0.00 0.00 0.16 0.30 0.36 0.37 0.34 0.35 0.43 0.58 0.77 0.99 1.23 1.49 1.80 2.13 2.41 2.59 2.60 2.43 2.11 1.73 1.35 1.02 0.75 7.5 + 10.0 0.50 0.31 0.15 0.03 0.00 0.00 0.01 0.14 0.25 0.29 0.24 0.12 0.00 0.00 0.01 0.17 0.35 0.47 0.47 0.37 0.21 0.09 0.08 0.19 0.40 0.67 0.95 1.22 1.45 1.63 1.75 1.79 1.74 1.58 1.33 1.03 0.73 0.48 0.35 0.33 0.40 0.51 0.57 0.53 0.39 0.19 0.03 0.00 0.05 0.22 0.39 0.51 0.53 0.49 0.46 0.48 0.58 0.74 0.92 1.11 1.31 1.56 1.86 2.19 2.48 2.64 2.61 2.38 1.99 1.54 1.11 0.76 0.50 0.31 0.15 0.03 0.00 0.00 0.01 0.14 0.25 0.29 0.24 0.12 0.00 0.00 0.01 0.17 0.35 0.47 0.47 0.37 0.21 0.09 0.08 0.19 0.40 0.67 0.95 1.22 1.45 1.63 1.75 1.79 1.74 1.58 1.33 1.03 0.73 0.48 0.35 0.33 0.40 0.51 0.57 0.53 0.39 0.19 0.03 0.00 0.05 0.22 0.39 0.51 0.53 0.49 0.46 0.48 0.58 0.74 0.92 1.11 1.31 1.56 1.86 2.19 2.48 2.64 2.61 2.38 1.99 1.54 1.11 0.76 0.50 10.0 + 12.5 0.23 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.20 0.18 0.05 0.00 0.00 0.00 0.00 0.15 0.32 0.36 0.28 0.10 0.00 0.00 0.00 0.18 0.45 0.72 0.96 1.15 1.31 1.42 1.48 1.47 1.34 1.11 0.81 0.50 0.25 0.14 0.18 0.32 0.48 0.56 0.51 0.35 0.16 0.03 0.04 0.19 0.42 0.62 0.72 0.72 0.67 0.64 0.69 0.81 0.98 1.14 1.28 1.42 1.60 1.86 2.15 2.41 2.54 2.46 2.18 1.74 1.25 0.80 0.46 0.23 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.20 0.18 0.05 0.00 0.00 0.00 0.00 0.15 0.32 0.36 0.28 0.10 0.00 0.00 0.00 0.18 0.45 0.72 0.96 1.15 1.31 1.42 1.48 1.47 1.34 1.11 0.81 0.50 0.25 0.14 0.18 0.32 0.48 0.56 0.51 0.35 0.16 0.03 0.04 0.19 0.42 0.62 0.72 0.72 0.67 0.64 0.69 0.81 0.98 1.14 1.28 1.42 1.60 1.86 2.15 2.41 2.54 2.46 2.18 1.74 1.25 0.80 0.46 0.23 12.5 + 15.0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.28 0.23 0.07 0.00 0.00 0.00 0.08 0.34 0.59 0.79 0.94 1.06 1.16 1.23 1.25 1.17 0.97 0.67 0.36 0.11 0.02 0.09 0.28 0.47 0.57 0.52 0.34 0.13 0.01 0.07 0.27 0.55 0.78 0.89 0.88 0.83 0.82 0.90 1.06 1.24 1.38 1.46 1.53 1.63 1.81 2.04 2.24 2.33 2.22 1.91 1.44 0.93 0.49 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.28 0.23 0.07 0.00 0.00 0.00 0.08 0.34 0.59 0.79 0.94 1.06 1.16 1.23 1.25 1.17 0.97 0.67 0.36 0.11 0.02 0.09 0.28 0.47 0.57 0.52 0.34 0.13 0.01 0.07 0.27 0.55 0.78 0.89 0.88 0.83 0.82 0.90 1.06 1.24 1.38 1.46 1.53 1.63 1.81 2.04 2.24 2.33 2.22 1.91 1.44 0.93 0.49 0.17 0.00 15.0 + 17.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.14 0.01 0.00 0.00 0.00 0.00 0.00 0.16 0.32 0.32 0.17 0.00 0.00 0.00 0.13 0.38 0.62 0.79 0.90 0.98 1.07 1.15 1.20 1.16 0.98 0.70 0.39 0.14 0.04 0.12 0.32 0.53 0.64 0.58 0.38 0.16 0.03 0.09 0.32 0.62 0.86 0.97 0.96 0.91 0.92 1.03 1.23 1.43 1.58 1.64 1.64 1.66 1.75 1.90 2.05 2.10 1.98 1.66 1.20 0.69 0.26 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.14 0.01 0.00 0.00 0.00 0.00 0.00 0.16 0.32 0.32 0.17 0.00 0.00 0.00 0.13 0.38 0.62 0.79 0.90 0.98 1.07 1.15 1.20 1.16 0.98 0.70 0.39 0.14 0.04 0.12 0.32 0.53 0.64 0.58 0.38 0.16 0.03 0.09 0.32 0.62 0.86 0.97 0.96 0.91 0.92 1.03 1.23 1.43 1.58 1.64 1.64 1.66 1.75 1.90 2.05 2.10 1.98 1.66 1.20 0.69 0.26 0.00 0.00 17.5 + 20.0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.30 0.37 0.28 0.06 0.00 0.00 0.00 0.04 0.34 0.54 0.56 0.42 0.22 0.10 0.13 0.30 0.54 0.77 0.93 1.03 1.09 1.16 1.25 1.31 1.30 1.15 0.89 0.57 0.31 0.18 0.24 0.42 0.64 0.75 0.69 0.49 0.25 0.11 0.15 0.37 0.66 0.90 1.01 0.99 0.94 0.94 1.08 1.30 1.55 1.72 1.78 1.75 1.71 1.72 1.79 1.89 1.92 1.81 1.52 1.08 0.59 0.16 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.30 0.37 0.28 0.06 0.00 0.00 0.00 0.04 0.34 0.54 0.56 0.42 0.22 0.10 0.13 0.30 0.54 0.77 0.93 1.03 1.09 1.16 1.25 1.31 1.30 1.15 0.89 0.57 0.31 0.18 0.24 0.42 0.64 0.75 0.69 0.49 0.25 0.11 0.15 0.37 0.66 0.90 1.01 0.99 0.94 0.94 1.08 1.30 1.55 1.72 1.78 1.75 1.71 1.72 1.79 1.89 1.92 1.81 1.52 1.08 0.59 0.16 0.00 0.00 20.0 + 22.5 0.00 0.00 0.00 0.01 0.03 0.01 0.04 0.17 0.39 0.63 0.77 0.73 0.53 0.27 0.12 0.16 0.39 0.67 0.87 0.89 0.74 0.52 0.37 0.37 0.52 0.75 0.97 1.13 1.22 1.27 1.33 1.41 1.47 1.47 1.34 1.10 0.79 0.51 0.34 0.35 0.51 0.71 0.83 0.81 0.63 0.40 0.25 0.26 0.46 0.74 0.98 1.10 1.09 1.02 1.01 1.13 1.37 1.64 1.84 1.92 1.88 1.79 1.73 1.73 1.78 1.81 1.73 1.48 1.09 0.62 0.19 0.00 0.00 0.00 0.00 0.01 0.03 0.01 0.04 0.17 0.39 0.63 0.77 0.73 0.53 0.27 0.12 0.16 0.39 0.67 0.87 0.89 0.74 0.52 0.37 0.37 0.52 0.75 0.97 1.13 1.22 1.27 1.33 1.41 1.47 1.47 1.34 1.10 0.79 0.51 0.34 0.35 0.51 0.71 0.83 0.81 0.63 0.40 0.25 0.26 0.46 0.74 0.98 1.10 1.09 1.02 1.01 1.13 1.37 1.64 1.84 1.92 1.88 1.79 1.73 1.73 1.78 1.81 1.73 1.48 1.09 0.62 0.19 0.00 0.00 22.5 + 25.0 0.00 0.00 0.11 0.23 0.28 0.28 0.31 0.45 0.71 1.00 1.20 1.21 1.03 0.77 0.58 0.57 0.74 1.00 1.18 1.18 1.02 0.78 0.59 0.55 0.66 0.86 1.07 1.22 1.31 1.35 1.40 1.46 1.51 1.50 1.40 1.19 0.90 0.62 0.42 0.38 0.50 0.68 0.84 0.87 0.75 0.57 0.43 0.44 0.64 0.94 1.23 1.40 1.41 1.34 1.30 1.36 1.56 1.81 2.02 2.11 2.05 1.91 1.78 1.71 1.71 1.74 1.69 1.51 1.17 0.73 0.31 0.02 0.00 0.00 0.11 0.23 0.28 0.28 0.31 0.45 0.71 1.00 1.20 1.21 1.03 0.77 0.58 0.57 0.74 1.00 1.18 1.18 1.02 0.78 0.59 0.55 0.66 0.86 1.07 1.22 1.31 1.35 1.40 1.46 1.51 1.50 1.40 1.19 0.90 0.62 0.42 0.38 0.50 0.68 0.84 0.87 0.75 0.57 0.43 0.44 0.64 0.94 1.23 1.40 1.41 1.34 1.30 1.36 1.56 1.81 2.02 2.11 2.05 1.91 1.78 1.71 1.71 1.74 1.69 1.51 1.17 0.73 0.31 0.02 0.00 25.0 + 27.5 0.08 0.18 0.36 0.52 0.59 0.58 0.60 0.73 0.98 1.30 1.53 1.57 1.40 1.12 0.88 0.82 0.94 1.15 1.31 1.31 1.14 0.88 0.66 0.58 0.64 0.80 0.98 1.12 1.19 1.22 1.24 1.27 1.30 1.31 1.24 1.09 0.85 0.60 0.39 0.32 0.39 0.58 0.77 0.88 0.86 0.75 0.67 0.72 0.96 1.33 1.72 1.99 2.07 2.01 1.92 1.90 2.00 2.18 2.34 2.39 2.29 2.09 1.86 1.71 1.66 1.67 1.67 1.54 1.26 0.86 0.46 0.17 0.08 0.18 0.36 0.52 0.59 0.58 0.60 0.73 0.98 1.30 1.53 1.57 1.40 1.12 0.88 0.82 0.94 1.15 1.31 1.31 1.14 0.88 0.66 0.58 0.64 0.80 0.98 1.12 1.19 1.22 1.24 1.27 1.30 1.31 1.24 1.09 0.85 0.60 0.39 0.32 0.39 0.58 0.77 0.88 0.86 0.75 0.67 0.72 0.96 1.33 1.72 1.99 2.07 2.01 1.92 1.90 2.00 2.18 2.34 2.39 2.29 2.09 1.86 1.71 1.66 1.67 1.67 1.54 1.26 0.86 0.46 0.17 0.08 27.5 + 30.0 0.29 0.42 0.65 0.84 0.91 0.89 0.86 0.94 1.16 1.45 1.68 1.71 1.53 1.22 0.93 0.81 0.89 1.07 1.22 1.22 1.05 0.79 0.55 0.43 0.44 0.55 0.69 0.80 0.86 0.87 0.86 0.87 0.90 0.92 0.92 0.85 0.71 0.52 0.34 0.25 0.30 0.48 0.72 0.92 1.00 0.99 0.98 1.10 1.42 1.90 2.44 2.86 3.06 3.03 2.89 2.74 2.69 2.74 2.80 2.77 2.60 2.30 1.97 1.73 1.62 1.62 1.64 1.57 1.34 0.98 0.61 0.34 0.29 0.42 0.65 0.84 0.91 0.89 0.86 0.94 1.16 1.45 1.68 1.71 1.53 1.22 0.93 0.81 0.89 1.07 1.22 1.22 1.05 0.79 0.55 0.43 0.44 0.55 0.69 0.80 0.86 0.87 0.86 0.87 0.90 0.92 0.92 0.85 0.71 0.52 0.34 0.25 0.30 0.48 0.72 0.92 1.00 0.99 0.98 1.10 1.42 1.90 2.44 2.86 3.06 3.03 2.89 2.74 2.69 2.74 2.80 2.77 2.60 2.30 1.97 1.73 1.62 1.62 1.64 1.57 1.34 0.98 0.61 0.34 0.29 30.0 + 32.5 0.50 0.67 0.93 1.15 1.21 1.15 1.06 1.08 1.24 1.49 1.68 1.69 1.47 1.11 0.77 0.60 0.63 0.79 0.94 0.96 0.81 0.56 0.31 0.16 0.14 0.21 0.32 0.41 0.45 0.45 0.44 0.44 0.47 0.54 0.62 0.66 0.63 0.52 0.38 0.29 0.32 0.50 0.78 1.05 1.24 1.32 1.39 1.57 1.96 2.57 3.26 3.86 4.19 4.22 4.03 3.75 3.53 3.40 3.32 3.18 2.91 2.52 2.11 1.78 1.62 1.62 1.66 1.64 1.45 1.13 0.77 0.53 0.50 0.67 0.93 1.15 1.21 1.15 1.06 1.08 1.24 1.49 1.68 1.69 1.47 1.11 0.77 0.60 0.63 0.79 0.94 0.96 0.81 0.56 0.31 0.16 0.14 0.21 0.32 0.41 0.45 0.45 0.44 0.44 0.47 0.54 0.62 0.66 0.63 0.52 0.38 0.29 0.32 0.50 0.78 1.05 1.24 1.32 1.39 1.57 1.96 2.57 3.26 3.86 4.19 4.22 4.03 3.75 3.53 3.40 3.32 3.18 2.91 2.52 2.11 1.78 1.62 1.62 1.66 1.64 1.45 1.13 0.77 0.53 0.50 32.5 + 35.0 0.71 0.90 1.18 1.40 1.45 1.36 1.23 1.19 1.30 1.51 1.67 1.64 1.38 0.97 0.57 0.35 0.34 0.49 0.65 0.69 0.57 0.33 0.08 0.00 0.00 0.00 0.04 0.13 0.18 0.19 0.18 0.19 0.24 0.36 0.51 0.66 0.73 0.71 0.61 0.52 0.53 0.69 0.98 1.30 1.56 1.70 1.81 2.03 2.47 3.16 3.99 4.73 5.19 5.28 5.05 4.65 4.26 3.97 3.75 3.51 3.17 2.71 2.24 1.87 1.69 1.70 1.78 1.80 1.65 1.34 0.98 0.74 0.71 0.90 1.18 1.40 1.45 1.36 1.23 1.19 1.30 1.51 1.67 1.64 1.38 0.97 0.57 0.35 0.34 0.49 0.65 0.69 0.57 0.33 0.08 0.00 0.00 0.00 0.04 0.13 0.18 0.19 0.18 0.19 0.24 0.36 0.51 0.66 0.73 0.71 0.61 0.52 0.53 0.69 0.98 1.30 1.56 1.70 1.81 2.03 2.47 3.16 3.99 4.73 5.19 5.28 5.05 4.65 4.26 3.97 3.75 3.51 3.17 2.71 2.24 1.87 1.69 1.70 1.78 1.80 1.65 1.34 0.98 0.74 0.71 35.0 + 37.5 0.94 1.10 1.37 1.58 1.63 1.53 1.39 1.33 1.44 1.64 1.79 1.74 1.44 0.97 0.52 0.23 0.19 0.32 0.49 0.55 0.45 0.23 0.00 0.00 0.00 0.00 0.00 0.12 0.19 0.22 0.23 0.25 0.32 0.47 0.68 0.89 1.04 1.06 0.98 0.87 0.84 0.97 1.25 1.59 1.87 2.04 2.15 2.35 2.78 3.49 4.38 5.21 5.76 5.90 5.65 5.18 4.68 4.26 3.95 3.65 3.27 2.81 2.34 1.98 1.82 1.87 2.01 2.07 1.95 1.65 1.27 1.00 0.94 1.10 1.37 1.58 1.63 1.53 1.39 1.33 1.44 1.64 1.79 1.74 1.44 0.97 0.52 0.23 0.19 0.32 0.49 0.55 0.45 0.23 0.00 0.00 0.00 0.00 0.00 0.12 0.19 0.22 0.23 0.25 0.32 0.47 0.68 0.89 1.04 1.06 0.98 0.87 0.84 0.97 1.25 1.59 1.87 2.04 2.15 2.35 2.78 3.49 4.38 5.21 5.76 5.90 5.65 5.18 4.68 4.26 3.95 3.65 3.27 2.81 2.34 1.98 1.82 1.87 2.01 2.07 1.95 1.65 1.27 1.00 0.94 37.5 + 40.0 1.18 1.30 1.53 1.73 1.79 1.71 1.60 1.58 1.72 1.96 2.13 2.08 1.76 1.25 0.73 0.38 0.29 0.40 0.57 0.64 0.55 0.34 0.11 0.00 0.00 0.06 0.23 0.39 0.49 0.54 0.55 0.58 0.66 0.81 1.03 1.25 1.40 1.42 1.32 1.17 1.10 1.19 1.44 1.76 2.04 2.19 2.26 2.40 2.76 3.42 4.29 5.14 5.74 5.91 5.67 5.17 4.62 4.17 3.83 3.53 3.19 2.77 2.35 2.05 1.95 2.07 2.27 2.39 2.31 2.01 1.62 1.30 1.18 1.30 1.53 1.73 1.79 1.71 1.60 1.58 1.72 1.96 2.13 2.08 1.76 1.25 0.73 0.38 0.29 0.40 0.57 0.64 0.55 0.34 0.11 0.00 0.00 0.06 0.23 0.39 0.49 0.54 0.55 0.58 0.66 0.81 1.03 1.25 1.40 1.42 1.32 1.17 1.10 1.19 1.44 1.76 2.04 2.19 2.26 2.40 2.76 3.42 4.29 5.14 5.74 5.91 5.67 5.17 4.62 4.17 3.83 3.53 3.19 2.77 2.35 2.05 1.95 2.07 2.27 2.39 2.31 2.01 1.62 1.30 1.18 40.0 + 42.5 1.44 1.50 1.70 1.90 1.98 1.95 1.91 1.97 2.19 2.49 2.71 2.69 2.35 1.80 1.21 0.80 0.65 0.72 0.86 0.93 0.85 0.64 0.41 0.28 0.30 0.45 0.65 0.83 0.95 0.99 0.99 1.00 1.05 1.17 1.35 1.52 1.62 1.59 1.44 1.26 1.15 1.20 1.42 1.70 1.94 2.05 2.06 2.12 2.38 2.94 3.72 4.53 5.12 5.31 5.09 4.63 4.11 3.69 3.40 3.18 2.92 2.59 2.25 2.02 2.00 2.18 2.46 2.65 2.62 2.35 1.95 1.60 1.44 1.50 1.70 1.90 1.98 1.95 1.91 1.97 2.19 2.49 2.71 2.69 2.35 1.80 1.21 0.80 0.65 0.72 0.86 0.93 0.85 0.64 0.41 0.28 0.30 0.45 0.65 0.83 0.95 0.99 0.99 1.00 1.05 1.17 1.35 1.52 1.62 1.59 1.44 1.26 1.15 1.20 1.42 1.70 1.94 2.05 2.06 2.12 2.38 2.94 3.72 4.53 5.12 5.31 5.09 4.63 4.11 3.69 3.40 3.18 2.92 2.59 2.25 2.02 2.00 2.18 2.46 2.65 2.62 2.35 1.95 1.60 1.44 42.5 + 45.0 1.68 1.72 1.91 2.12 2.26 2.31 2.36 2.51 2.82 3.19 3.47 3.47 3.13 2.54 1.89 1.39 1.16 1.17 1.28 1.32 1.23 1.01 0.78 0.66 0.70 0.87 1.08 1.26 1.35 1.36 1.31 1.27 1.28 1.34 1.44 1.53 1.55 1.46 1.27 1.07 0.94 0.97 1.16 1.41 1.61 1.67 1.62 1.59 1.75 2.18 2.85 3.56 4.10 4.29 4.12 3.72 3.29 2.97 2.79 2.67 2.51 2.28 2.02 1.86 1.90 2.14 2.48 2.74 2.78 2.57 2.20 1.86 1.68 1.72 1.91 2.12 2.26 2.31 2.36 2.51 2.82 3.19 3.47 3.47 3.13 2.54 1.89 1.39 1.16 1.17 1.28 1.32 1.23 1.01 0.78 0.66 0.70 0.87 1.08 1.26 1.35 1.36 1.31 1.27 1.28 1.34 1.44 1.53 1.55 1.46 1.27 1.07 0.94 0.97 1.16 1.41 1.61 1.67 1.62 1.59 1.75 2.18 2.85 3.56 4.10 4.29 4.12 3.72 3.29 2.97 2.79 2.67 2.51 2.28 2.02 1.86 1.90 2.14 2.48 2.74 2.78 2.57 2.20 1.86 1.68 45.0 + 47.5 1.87 1.93 2.16 2.42 2.63 2.76 2.90 3.14 3.52 3.95 4.27 4.30 3.97 3.35 2.63 2.05 1.73 1.65 1.69 1.69 1.57 1.33 1.10 0.98 1.02 1.18 1.37 1.51 1.54 1.47 1.36 1.26 1.21 1.22 1.25 1.26 1.20 1.07 0.87 0.68 0.58 0.62 0.79 1.01 1.17 1.19 1.10 1.01 1.07 1.38 1.92 2.52 2.99 3.16 3.03 2.71 2.39 2.19 2.12 2.12 2.07 1.92 1.71 1.58 1.64 1.90 2.27 2.59 2.71 2.59 2.30 2.01 1.87 1.93 2.16 2.42 2.63 2.76 2.90 3.14 3.52 3.95 4.27 4.30 3.97 3.35 2.63 2.05 1.73 1.65 1.69 1.69 1.57 1.33 1.10 0.98 1.02 1.18 1.37 1.51 1.54 1.47 1.36 1.26 1.21 1.22 1.25 1.26 1.20 1.07 0.87 0.68 0.58 0.62 0.79 1.01 1.17 1.19 1.10 1.01 1.07 1.38 1.92 2.52 2.99 3.16 3.03 2.71 2.39 2.19 2.12 2.12 2.07 1.92 1.71 1.58 1.64 1.90 2.27 2.59 2.71 2.59 2.30 2.01 1.87 47.5 + 50.0 1.96 2.09 2.38 2.72 3.01 3.24 3.47 3.77 4.19 4.65 4.99 5.05 4.73 4.10 3.34 2.68 2.26 2.08 2.02 1.96 1.79 1.53 1.28 1.15 1.17 1.30 1.45 1.52 1.47 1.32 1.14 0.99 0.90 0.87 0.85 0.82 0.73 0.59 0.43 0.29 0.24 0.31 0.48 0.69 0.82 0.82 0.70 0.57 0.57 0.78 1.19 1.67 2.05 2.18 2.07 1.83 1.60 1.50 1.54 1.63 1.66 1.55 1.37 1.24 1.27 1.51 1.88 2.23 2.42 2.40 2.21 2.02 1.96 2.09 2.38 2.72 3.01 3.24 3.47 3.77 4.19 4.65 4.99 5.05 4.73 4.10 3.34 2.68 2.26 2.08 2.02 1.96 1.79 1.53 1.28 1.15 1.17 1.30 1.45 1.52 1.47 1.32 1.14 0.99 0.90 0.87 0.85 0.82 0.73 0.59 0.43 0.29 0.24 0.31 0.48 0.69 0.82 0.82 0.70 0.57 0.57 0.78 1.19 1.67 2.05 2.18 2.07 1.83 1.60 1.50 1.54 1.63 1.66 1.55 1.37 1.24 1.27 1.51 1.88 2.23 2.42 2.40 2.21 2.02 1.96 50.0 + 52.5 1.91 2.13 2.50 2.93 3.32 3.63 3.92 4.26 4.69 5.15 5.50 5.58 5.29 4.68 3.92 3.21 2.70 2.41 2.25 2.10 1.88 1.59 1.33 1.18 1.17 1.26 1.34 1.35 1.23 1.03 0.81 0.63 0.53 0.48 0.45 0.41 0.34 0.24 0.14 0.07 0.08 0.19 0.37 0.56 0.68 0.68 0.56 0.41 0.36 0.48 0.78 1.15 1.43 1.52 1.42 1.21 1.04 1.00 1.11 1.25 1.30 1.22 1.03 0.87 0.85 1.04 1.38 1.73 1.97 2.03 1.96 1.87 1.91 2.13 2.50 2.93 3.32 3.63 3.92 4.26 4.69 5.15 5.50 5.58 5.29 4.68 3.92 3.21 2.70 2.41 2.25 2.10 1.88 1.59 1.33 1.18 1.17 1.26 1.34 1.35 1.23 1.03 0.81 0.63 0.53 0.48 0.45 0.41 0.34 0.24 0.14 0.07 0.08 0.19 0.37 0.56 0.68 0.68 0.56 0.41 0.36 0.48 0.78 1.15 1.43 1.52 1.42 1.21 1.04 1.00 1.11 1.25 1.30 1.22 1.03 0.87 0.85 1.04 1.38 1.73 1.97 2.03 1.96 1.87 1.91 52.5 + 55.0 1.70 2.01 2.46 2.96 3.43 3.81 4.14 4.49 4.90 5.34 5.68 5.78 5.56 5.02 4.31 3.59 3.02 2.64 2.38 2.15 1.88 1.57 1.29 1.11 1.07 1.12 1.17 1.13 0.99 0.78 0.55 0.38 0.28 0.25 0.23 0.22 0.18 0.13 0.09 0.09 0.14 0.27 0.45 0.63 0.74 0.74 0.63 0.48 0.39 0.45 0.65 0.92 1.13 1.18 1.06 0.86 0.71 0.68 0.79 0.94 1.00 0.91 0.71 0.51 0.44 0.56 0.85 1.18 1.44 1.56 1.57 1.58 1.70 2.01 2.46 2.96 3.43 3.81 4.14 4.49 4.90 5.34 5.68 5.78 5.56 5.02 4.31 3.59 3.02 2.64 2.38 2.15 1.88 1.57 1.29 1.11 1.07 1.12 1.17 1.13 0.99 0.78 0.55 0.38 0.28 0.25 0.23 0.22 0.18 0.13 0.09 0.09 0.14 0.27 0.45 0.63 0.74 0.74 0.63 0.48 0.39 0.45 0.65 0.92 1.13 1.18 1.06 0.86 0.71 0.68 0.79 0.94 1.00 0.91 0.71 0.51 0.44 0.56 0.85 1.18 1.44 1.56 1.57 1.58 1.70 55.0 + 57.5 1.37 1.73 2.22 2.78 3.29 3.72 4.07 4.40 4.76 5.15 5.47 5.61 5.47 5.05 4.44 3.78 3.21 2.77 2.44 2.15 1.84 1.52 1.23 1.04 0.97 0.99 1.02 0.98 0.86 0.68 0.50 0.36 0.29 0.27 0.27 0.28 0.27 0.26 0.25 0.27 0.32 0.43 0.59 0.75 0.86 0.87 0.77 0.62 0.51 0.51 0.65 0.85 1.01 1.04 0.91 0.70 0.53 0.48 0.55 0.66 0.70 0.61 0.40 0.18 0.07 0.13 0.36 0.66 0.91 1.05 1.11 1.19 1.37 1.73 2.22 2.78 3.29 3.72 4.07 4.40 4.76 5.15 5.47 5.61 5.47 5.05 4.44 3.78 3.21 2.77 2.44 2.15 1.84 1.52 1.23 1.04 0.97 0.99 1.02 0.98 0.86 0.68 0.50 0.36 0.29 0.27 0.27 0.28 0.27 0.26 0.25 0.27 0.32 0.43 0.59 0.75 0.86 0.87 0.77 0.62 0.51 0.51 0.65 0.85 1.01 1.04 0.91 0.70 0.53 0.48 0.55 0.66 0.70 0.61 0.40 0.18 0.07 0.13 0.36 0.66 0.91 1.05 1.11 1.19 1.37 57.5 + 60.0 0.99 1.37 1.87 2.43 2.95 3.38 3.71 4.00 4.30 4.62 4.91 5.07 5.04 4.76 4.30 3.76 3.24 2.80 2.44 2.12 1.80 1.48 1.20 1.00 0.91 0.91 0.93 0.93 0.87 0.77 0.66 0.58 0.54 0.52 0.53 0.53 0.52 0.50 0.48 0.47 0.48 0.54 0.64 0.77 0.87 0.89 0.81 0.67 0.54 0.50 0.59 0.76 0.91 0.95 0.83 0.62 0.42 0.31 0.32 0.38 0.39 0.30 0.10 0.00 0.00 0.00 0.00 0.21 0.43 0.58 0.67 0.78 0.99 1.37 1.87 2.43 2.95 3.38 3.71 4.00 4.30 4.62 4.91 5.07 5.04 4.76 4.30 3.76 3.24 2.80 2.44 2.12 1.80 1.48 1.20 1.00 0.91 0.91 0.93 0.93 0.87 0.77 0.66 0.58 0.54 0.52 0.53 0.53 0.52 0.50 0.48 0.47 0.48 0.54 0.64 0.77 0.87 0.89 0.81 0.67 0.54 0.50 0.59 0.76 0.91 0.95 0.83 0.62 0.42 0.31 0.32 0.38 0.39 0.30 0.10 0.00 0.00 0.00 0.00 0.21 0.43 0.58 0.67 0.78 0.99 60.0 + 62.5 0.67 1.04 1.52 2.04 2.52 2.91 3.19 3.42 3.63 3.87 4.11 4.29 4.35 4.22 3.94 3.54 3.12 2.73 2.39 2.08 1.77 1.47 1.21 1.00 0.90 0.87 0.90 0.94 0.96 0.96 0.94 0.92 0.91 0.89 0.86 0.82 0.78 0.73 0.66 0.59 0.54 0.52 0.55 0.64 0.72 0.75 0.69 0.55 0.41 0.35 0.42 0.58 0.75 0.82 0.74 0.54 0.32 0.16 0.11 0.12 0.11 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.20 0.31 0.44 0.67 1.04 1.52 2.04 2.52 2.91 3.19 3.42 3.63 3.87 4.11 4.29 4.35 4.22 3.94 3.54 3.12 2.73 2.39 2.08 1.77 1.47 1.21 1.00 0.90 0.87 0.90 0.94 0.96 0.96 0.94 0.92 0.91 0.89 0.86 0.82 0.78 0.73 0.66 0.59 0.54 0.52 0.55 0.64 0.72 0.75 0.69 0.55 0.41 0.35 0.42 0.58 0.75 0.82 0.74 0.54 0.32 0.16 0.11 0.12 0.11 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.20 0.31 0.44 0.67 62.5 + 65.0 0.52 0.88 1.31 1.76 2.16 2.47 2.67 2.81 2.94 3.09 3.27 3.45 3.58 3.59 3.47 3.23 2.93 2.62 2.32 2.04 1.78 1.51 1.26 1.06 0.93 0.88 0.90 0.97 1.06 1.15 1.23 1.27 1.28 1.24 1.16 1.06 0.96 0.85 0.74 0.61 0.50 0.42 0.40 0.44 0.50 0.53 0.47 0.34 0.20 0.13 0.19 0.36 0.56 0.68 0.65 0.48 0.26 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.27 0.52 0.88 1.31 1.76 2.16 2.47 2.67 2.81 2.94 3.09 3.27 3.45 3.58 3.59 3.47 3.23 2.93 2.62 2.32 2.04 1.78 1.51 1.26 1.06 0.93 0.88 0.90 0.97 1.06 1.15 1.23 1.27 1.28 1.24 1.16 1.06 0.96 0.85 0.74 0.61 0.50 0.42 0.40 0.44 0.50 0.53 0.47 0.34 0.20 0.13 0.19 0.36 0.56 0.68 0.65 0.48 0.26 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.27 0.52 65.0 + 67.5 0.60 0.95 1.33 1.69 1.98 2.18 2.30 2.35 2.39 2.46 2.59 2.75 2.92 3.03 3.04 2.94 2.76 2.54 2.31 2.08 1.85 1.63 1.40 1.20 1.04 0.96 0.95 1.03 1.16 1.32 1.46 1.55 1.57 1.50 1.37 1.20 1.04 0.88 0.74 0.60 0.46 0.36 0.30 0.32 0.36 0.38 0.33 0.21 0.07 0.00 0.06 0.23 0.45 0.60 0.61 0.49 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.33 0.60 0.95 1.33 1.69 1.98 2.18 2.30 2.35 2.39 2.46 2.59 2.75 2.92 3.03 3.04 2.94 2.76 2.54 2.31 2.08 1.85 1.63 1.40 1.20 1.04 0.96 0.95 1.03 1.16 1.32 1.46 1.55 1.57 1.50 1.37 1.20 1.04 0.88 0.74 0.60 0.46 0.36 0.30 0.32 0.36 0.38 0.33 0.21 0.07 0.00 0.06 0.23 0.45 0.60 0.61 0.49 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.33 0.60 67.5 + 70.0 0.91 1.25 1.57 1.83 2.00 2.10 2.11 2.09 2.07 2.09 2.18 2.33 2.51 2.68 2.77 2.78 2.69 2.55 2.39 2.22 2.04 1.85 1.65 1.44 1.26 1.14 1.11 1.17 1.30 1.49 1.67 1.79 1.81 1.71 1.53 1.30 1.07 0.89 0.74 0.62 0.51 0.43 0.38 0.38 0.41 0.43 0.39 0.29 0.17 0.11 0.16 0.31 0.52 0.67 0.71 0.61 0.44 0.27 0.17 0.13 0.13 0.12 0.08 0.03 0.00 0.00 0.00 0.00 0.06 0.17 0.35 0.60 0.91 1.25 1.57 1.83 2.00 2.10 2.11 2.09 2.07 2.09 2.18 2.33 2.51 2.68 2.77 2.78 2.69 2.55 2.39 2.22 2.04 1.85 1.65 1.44 1.26 1.14 1.11 1.17 1.30 1.49 1.67 1.79 1.81 1.71 1.53 1.30 1.07 0.89 0.74 0.62 0.51 0.43 0.38 0.38 0.41 0.43 0.39 0.29 0.17 0.11 0.16 0.31 0.52 0.67 0.71 0.61 0.44 0.27 0.17 0.13 0.13 0.12 0.08 0.03 0.00 0.00 0.00 0.00 0.06 0.17 0.35 0.60 0.91 70.0 + 72.5 1.34 1.66 1.93 2.09 2.16 2.15 2.08 2.01 1.96 1.96 2.04 2.18 2.36 2.54 2.67 2.73 2.72 2.65 2.56 2.45 2.33 2.18 2.00 1.80 1.61 1.47 1.41 1.44 1.56 1.73 1.91 2.03 2.04 1.92 1.69 1.41 1.14 0.93 0.79 0.70 0.65 0.61 0.59 0.61 0.64 0.66 0.64 0.57 0.49 0.45 0.49 0.61 0.77 0.89 0.92 0.84 0.71 0.58 0.50 0.48 0.49 0.50 0.48 0.44 0.40 0.36 0.34 0.35 0.40 0.52 0.72 1.01 1.34 1.66 1.93 2.09 2.16 2.15 2.08 2.01 1.96 1.96 2.04 2.18 2.36 2.54 2.67 2.73 2.72 2.65 2.56 2.45 2.33 2.18 2.00 1.80 1.61 1.47 1.41 1.44 1.56 1.73 1.91 2.03 2.04 1.92 1.69 1.41 1.14 0.93 0.79 0.70 0.65 0.61 0.59 0.61 0.64 0.66 0.64 0.57 0.49 0.45 0.49 0.61 0.77 0.89 0.92 0.84 0.71 0.58 0.50 0.48 0.49 0.50 0.48 0.44 0.40 0.36 0.34 0.35 0.40 0.52 0.72 1.01 1.34 72.5 + 75.0 1.74 2.04 2.25 2.33 2.30 2.20 2.07 1.97 1.92 1.94 2.03 2.17 2.34 2.51 2.63 2.70 2.72 2.72 2.70 2.67 2.61 2.50 2.36 2.18 2.02 1.89 1.82 1.84 1.93 2.06 2.21 2.30 2.29 2.16 1.90 1.58 1.27 1.03 0.87 0.80 0.77 0.78 0.79 0.83 0.87 0.90 0.91 0.89 0.86 0.85 0.90 0.99 1.09 1.15 1.14 1.07 0.97 0.89 0.86 0.86 0.88 0.88 0.86 0.82 0.78 0.75 0.73 0.73 0.78 0.90 1.11 1.41 1.74 2.04 2.25 2.33 2.30 2.20 2.07 1.97 1.92 1.94 2.03 2.17 2.34 2.51 2.63 2.70 2.72 2.72 2.70 2.67 2.61 2.50 2.36 2.18 2.02 1.89 1.82 1.84 1.93 2.06 2.21 2.30 2.29 2.16 1.90 1.58 1.27 1.03 0.87 0.80 0.77 0.78 0.79 0.83 0.87 0.90 0.91 0.89 0.86 0.85 0.90 0.99 1.09 1.15 1.14 1.07 0.97 0.89 0.86 0.86 0.88 0.88 0.86 0.82 0.78 0.75 0.73 0.73 0.78 0.90 1.11 1.41 1.74 75.0 + 77.5 1.97 2.23 2.38 2.40 2.29 2.11 1.94 1.82 1.78 1.84 1.96 2.12 2.27 2.39 2.46 2.51 2.54 2.59 2.66 2.71 2.72 2.67 2.57 2.43 2.31 2.23 2.20 2.23 2.29 2.39 2.49 2.54 2.53 2.39 2.15 1.82 1.48 1.18 0.96 0.84 0.79 0.79 0.82 0.86 0.91 0.96 1.00 1.02 1.04 1.09 1.15 1.22 1.27 1.26 1.20 1.12 1.05 1.03 1.06 1.11 1.13 1.11 1.06 1.00 0.96 0.95 0.96 0.99 1.05 1.18 1.39 1.67 1.97 2.23 2.38 2.40 2.29 2.11 1.94 1.82 1.78 1.84 1.96 2.12 2.27 2.39 2.46 2.51 2.54 2.59 2.66 2.71 2.72 2.67 2.57 2.43 2.31 2.23 2.20 2.23 2.29 2.39 2.49 2.54 2.53 2.39 2.15 1.82 1.48 1.18 0.96 0.84 0.79 0.79 0.82 0.86 0.91 0.96 1.00 1.02 1.04 1.09 1.15 1.22 1.27 1.26 1.20 1.12 1.05 1.03 1.06 1.11 1.13 1.11 1.06 1.00 0.96 0.95 0.96 0.99 1.05 1.18 1.39 1.67 1.97 77.5 + 80.0 1.94 2.15 2.25 2.21 2.05 1.82 1.60 1.46 1.44 1.52 1.69 1.86 1.98 2.04 2.04 2.03 2.05 2.14 2.28 2.43 2.52 2.53 2.47 2.38 2.31 2.30 2.34 2.40 2.48 2.54 2.60 2.63 2.63 2.54 2.35 2.06 1.71 1.34 1.02 0.79 0.65 0.60 0.60 0.63 0.68 0.72 0.77 0.82 0.89 0.98 1.08 1.15 1.16 1.10 0.99 0.89 0.86 0.90 1.00 1.09 1.12 1.08 0.99 0.90 0.85 0.87 0.93 1.02 1.13 1.27 1.45 1.69 1.94 2.15 2.25 2.21 2.05 1.82 1.60 1.46 1.44 1.52 1.69 1.86 1.98 2.04 2.04 2.03 2.05 2.14 2.28 2.43 2.52 2.53 2.47 2.38 2.31 2.30 2.34 2.40 2.48 2.54 2.60 2.63 2.63 2.54 2.35 2.06 1.71 1.34 1.02 0.79 0.65 0.60 0.60 0.63 0.68 0.72 0.77 0.82 0.89 0.98 1.08 1.15 1.16 1.10 0.99 0.89 0.86 0.90 1.00 1.09 1.12 1.08 0.99 0.90 0.85 0.87 0.93 1.02 1.13 1.27 1.45 1.69 1.94 80.0 + 82.5 1.68 1.83 1.88 1.81 1.61 1.34 1.08 0.91 0.88 0.99 1.18 1.36 1.46 1.45 1.37 1.28 1.27 1.38 1.58 1.80 1.96 2.02 1.99 1.93 1.92 1.98 2.09 2.21 2.30 2.36 2.40 2.44 2.49 2.50 2.43 2.24 1.92 1.51 1.09 0.72 0.45 0.29 0.24 0.24 0.26 0.28 0.31 0.35 0.44 0.56 0.69 0.77 0.76 0.66 0.51 0.39 0.38 0.48 0.65 0.80 0.85 0.79 0.65 0.53 0.48 0.54 0.67 0.83 0.99 1.15 1.31 1.49 1.68 1.83 1.88 1.81 1.61 1.34 1.08 0.91 0.88 0.99 1.18 1.36 1.46 1.45 1.37 1.28 1.27 1.38 1.58 1.80 1.96 2.02 1.99 1.93 1.92 1.98 2.09 2.21 2.30 2.36 2.40 2.44 2.49 2.50 2.43 2.24 1.92 1.51 1.09 0.72 0.45 0.29 0.24 0.24 0.26 0.28 0.31 0.35 0.44 0.56 0.69 0.77 0.76 0.66 0.51 0.39 0.38 0.48 0.65 0.80 0.85 0.79 0.65 0.53 0.48 0.54 0.67 0.83 0.99 1.15 1.31 1.49 1.68 82.5 + 85.0 1.29 1.39 1.41 1.31 1.10 0.80 0.50 0.30 0.25 0.36 0.57 0.75 0.83 0.76 0.59 0.42 0.36 0.46 0.70 0.97 1.17 1.25 1.23 1.18 1.20 1.30 1.46 1.63 1.75 1.82 1.86 1.94 2.07 2.22 2.32 2.29 2.07 1.69 1.20 0.72 0.34 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.19 0.28 0.26 0.11 0.00 0.00 0.00 0.00 0.16 0.36 0.44 0.37 0.21 0.05 0.00 0.09 0.28 0.52 0.74 0.91 1.05 1.17 1.29 1.39 1.41 1.31 1.10 0.80 0.50 0.30 0.25 0.36 0.57 0.75 0.83 0.76 0.59 0.42 0.36 0.46 0.70 0.97 1.17 1.25 1.23 1.18 1.20 1.30 1.46 1.63 1.75 1.82 1.86 1.94 2.07 2.22 2.32 2.29 2.07 1.69 1.20 0.72 0.34 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.19 0.28 0.26 0.11 0.00 0.00 0.00 0.00 0.16 0.36 0.44 0.37 0.21 0.05 0.00 0.09 0.28 0.52 0.74 0.91 1.05 1.17 1.29 85.0 + 87.5 0.96 1.01 1.00 0.89 0.67 0.36 0.04 0.00 0.00 0.00 0.04 0.22 0.29 0.18 0.00 0.00 0.00 0.00 0.00 0.19 0.41 0.49 0.45 0.39 0.38 0.49 0.66 0.85 0.98 1.05 1.12 1.25 1.47 1.78 2.06 2.22 2.16 1.88 1.42 0.91 0.46 0.16 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.04 0.00 0.00 0.00 0.00 0.00 0.25 0.51 0.71 0.83 0.90 0.96 1.01 1.00 0.89 0.67 0.36 0.04 0.00 0.00 0.00 0.04 0.22 0.29 0.18 0.00 0.00 0.00 0.00 0.00 0.19 0.41 0.49 0.45 0.39 0.38 0.49 0.66 0.85 0.98 1.05 1.12 1.25 1.47 1.78 2.06 2.22 2.16 1.88 1.42 0.91 0.46 0.16 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.04 0.00 0.00 0.00 0.00 0.00 0.25 0.51 0.71 0.83 0.90 0.96 87.5 + 90.0 0.84 0.83 0.79 0.68 0.47 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.34 0.42 0.58 0.87 1.29 1.73 2.07 2.19 2.07 1.73 1.29 0.87 0.58 0.42 0.34 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.47 0.68 0.79 0.83 0.84 0.83 0.79 0.68 0.47 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.34 0.42 0.58 0.87 1.29 1.73 2.07 2.19 2.07 1.73 1.29 0.87 0.58 0.42 0.34 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.47 0.68 0.79 0.83 0.84 90.0 + + 17.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.99 ) PHI2 = 18. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.0 + 2.5 0.86 0.66 0.49 0.39 0.35 0.35 0.34 0.25 0.08 0.00 0.00 0.00 0.00 0.00 0.08 0.28 0.39 0.41 0.40 0.42 0.51 0.66 0.85 1.06 1.28 1.52 1.76 1.99 2.16 2.23 2.18 2.03 1.81 1.58 1.34 1.12 0.90 0.70 0.54 0.45 0.41 0.41 0.37 0.26 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.23 0.33 0.36 0.37 0.42 0.53 0.71 0.91 1.13 1.36 1.60 1.85 2.09 2.25 2.30 2.23 2.04 1.80 1.54 1.30 1.07 0.86 0.66 0.49 0.39 0.35 0.35 0.34 0.25 0.08 0.00 0.00 0.00 0.00 0.00 0.08 0.28 0.39 0.41 0.40 0.42 0.51 0.66 0.85 1.06 1.28 1.52 1.76 1.99 2.16 2.23 2.18 2.03 1.81 1.58 1.34 1.12 0.90 0.70 0.54 0.45 0.41 0.41 0.37 0.26 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.23 0.33 0.36 0.37 0.42 0.53 0.71 0.91 1.13 1.36 1.60 1.85 2.09 2.25 2.30 2.23 2.04 1.80 1.54 1.30 1.07 0.86 2.5 + 5.0 0.72 0.52 0.36 0.27 0.25 0.29 0.33 0.31 0.21 0.04 0.00 0.00 0.00 0.00 0.21 0.39 0.48 0.48 0.43 0.39 0.41 0.51 0.68 0.89 1.13 1.39 1.66 1.90 2.09 2.19 2.17 2.05 1.84 1.59 1.34 1.09 0.86 0.67 0.54 0.49 0.48 0.49 0.45 0.33 0.13 0.00 0.00 0.00 0.00 0.00 0.14 0.28 0.33 0.34 0.35 0.41 0.54 0.73 0.95 1.18 1.44 1.71 2.00 2.26 2.43 2.46 2.34 2.09 1.79 1.47 1.19 0.94 0.72 0.52 0.36 0.27 0.25 0.29 0.33 0.31 0.21 0.04 0.00 0.00 0.00 0.00 0.21 0.39 0.48 0.48 0.43 0.39 0.41 0.51 0.68 0.89 1.13 1.39 1.66 1.90 2.09 2.19 2.17 2.05 1.84 1.59 1.34 1.09 0.86 0.67 0.54 0.49 0.48 0.49 0.45 0.33 0.13 0.00 0.00 0.00 0.00 0.00 0.14 0.28 0.33 0.34 0.35 0.41 0.54 0.73 0.95 1.18 1.44 1.71 2.00 2.26 2.43 2.46 2.34 2.09 1.79 1.47 1.19 0.94 0.72 5.0 + 7.5 0.52 0.34 0.20 0.12 0.12 0.19 0.29 0.35 0.33 0.22 0.09 0.00 0.00 0.12 0.30 0.47 0.56 0.54 0.44 0.33 0.28 0.32 0.46 0.67 0.92 1.20 1.48 1.73 1.94 2.06 2.08 1.99 1.80 1.55 1.27 0.99 0.75 0.58 0.50 0.50 0.55 0.58 0.54 0.41 0.21 0.01 0.00 0.00 0.01 0.18 0.33 0.40 0.41 0.39 0.40 0.48 0.63 0.82 1.04 1.27 1.54 1.85 2.16 2.44 2.60 2.60 2.42 2.09 1.71 1.33 1.01 0.74 0.52 0.34 0.20 0.12 0.12 0.19 0.29 0.35 0.33 0.22 0.09 0.00 0.00 0.12 0.30 0.47 0.56 0.54 0.44 0.33 0.28 0.32 0.46 0.67 0.92 1.20 1.48 1.73 1.94 2.06 2.08 1.99 1.80 1.55 1.27 0.99 0.75 0.58 0.50 0.50 0.55 0.58 0.54 0.41 0.21 0.01 0.00 0.00 0.01 0.18 0.33 0.40 0.41 0.39 0.40 0.48 0.63 0.82 1.04 1.27 1.54 1.85 2.16 2.44 2.60 2.60 2.42 2.09 1.71 1.33 1.01 0.74 0.52 7.5 + 10.0 0.31 0.16 0.04 0.00 0.00 0.07 0.20 0.31 0.36 0.31 0.19 0.07 0.03 0.09 0.25 0.42 0.53 0.52 0.41 0.26 0.14 0.12 0.23 0.43 0.70 0.98 1.24 1.48 1.68 1.81 1.87 1.82 1.66 1.42 1.12 0.82 0.58 0.44 0.41 0.48 0.59 0.64 0.61 0.47 0.28 0.12 0.06 0.14 0.30 0.47 0.59 0.62 0.59 0.56 0.59 0.68 0.84 1.02 1.20 1.41 1.65 1.95 2.26 2.53 2.67 2.62 2.37 1.97 1.52 1.10 0.76 0.50 0.31 0.16 0.04 0.00 0.00 0.07 0.20 0.31 0.36 0.31 0.19 0.07 0.03 0.09 0.25 0.42 0.53 0.52 0.41 0.26 0.14 0.12 0.23 0.43 0.70 0.98 1.24 1.48 1.68 1.81 1.87 1.82 1.66 1.42 1.12 0.82 0.58 0.44 0.41 0.48 0.59 0.64 0.61 0.47 0.28 0.12 0.06 0.14 0.30 0.47 0.59 0.62 0.59 0.56 0.59 0.68 0.84 1.02 1.20 1.41 1.65 1.95 2.26 2.53 2.67 2.62 2.37 1.97 1.52 1.10 0.76 0.50 0.31 10.0 + 12.5 0.11 0.01 0.00 0.00 0.00 0.00 0.07 0.22 0.30 0.28 0.16 0.01 0.00 0.00 0.06 0.26 0.42 0.45 0.36 0.19 0.04 0.00 0.06 0.25 0.51 0.77 1.01 1.21 1.38 1.51 1.59 1.58 1.46 1.24 0.94 0.63 0.39 0.28 0.31 0.45 0.60 0.69 0.65 0.50 0.31 0.19 0.20 0.35 0.57 0.77 0.88 0.88 0.84 0.81 0.85 0.97 1.13 1.29 1.43 1.57 1.75 1.99 2.26 2.49 2.59 2.48 2.18 1.73 1.24 0.80 0.47 0.25 0.11 0.01 0.00 0.00 0.00 0.00 0.07 0.22 0.30 0.28 0.16 0.01 0.00 0.00 0.06 0.26 0.42 0.45 0.36 0.19 0.04 0.00 0.06 0.25 0.51 0.77 1.01 1.21 1.38 1.51 1.59 1.58 1.46 1.24 0.94 0.63 0.39 0.28 0.31 0.45 0.60 0.69 0.65 0.50 0.31 0.19 0.20 0.35 0.57 0.77 0.88 0.88 0.84 0.81 0.85 0.97 1.13 1.29 1.43 1.57 1.75 1.99 2.26 2.49 2.59 2.48 2.18 1.73 1.24 0.80 0.47 0.25 0.11 12.5 + 15.0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.22 0.22 0.10 0.00 0.00 0.00 0.00 0.07 0.29 0.39 0.34 0.18 0.01 0.00 0.00 0.17 0.42 0.66 0.86 1.01 1.14 1.26 1.35 1.38 1.31 1.11 0.82 0.51 0.27 0.18 0.25 0.43 0.62 0.73 0.69 0.53 0.34 0.23 0.29 0.49 0.76 0.98 1.09 1.09 1.04 1.03 1.10 1.25 1.43 1.57 1.65 1.72 1.81 1.97 2.17 2.33 2.38 2.23 1.90 1.43 0.93 0.50 0.19 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.22 0.22 0.10 0.00 0.00 0.00 0.00 0.07 0.29 0.39 0.34 0.18 0.01 0.00 0.00 0.17 0.42 0.66 0.86 1.01 1.14 1.26 1.35 1.38 1.31 1.11 0.82 0.51 0.27 0.18 0.25 0.43 0.62 0.73 0.69 0.53 0.34 0.23 0.29 0.49 0.76 0.98 1.09 1.09 1.04 1.03 1.10 1.25 1.43 1.57 1.65 1.72 1.81 1.97 2.17 2.33 2.38 2.23 1.90 1.43 0.93 0.50 0.19 0.02 0.00 15.0 + 17.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.22 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.25 0.41 0.41 0.27 0.10 0.00 0.04 0.21 0.45 0.67 0.84 0.96 1.06 1.16 1.27 1.32 1.28 1.11 0.84 0.53 0.28 0.19 0.26 0.46 0.67 0.78 0.74 0.57 0.37 0.27 0.33 0.55 0.84 1.08 1.19 1.19 1.14 1.14 1.24 1.43 1.63 1.77 1.83 1.84 1.85 1.91 2.02 2.12 2.12 1.95 1.62 1.16 0.67 0.26 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.22 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.25 0.41 0.41 0.27 0.10 0.00 0.04 0.21 0.45 0.67 0.84 0.96 1.06 1.16 1.27 1.32 1.28 1.11 0.84 0.53 0.28 0.19 0.26 0.46 0.67 0.78 0.74 0.57 0.37 0.27 0.33 0.55 0.84 1.08 1.19 1.19 1.14 1.14 1.24 1.43 1.63 1.77 1.83 1.84 1.85 1.91 2.02 2.12 2.12 1.95 1.62 1.16 0.67 0.26 0.00 0.00 0.00 17.5 + 20.0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.19 0.36 0.44 0.36 0.15 0.00 0.00 0.00 0.09 0.37 0.57 0.59 0.47 0.29 0.17 0.20 0.35 0.58 0.79 0.95 1.05 1.14 1.23 1.34 1.41 1.39 1.25 0.99 0.68 0.42 0.29 0.33 0.51 0.72 0.84 0.81 0.64 0.43 0.31 0.36 0.57 0.85 1.09 1.20 1.20 1.15 1.15 1.27 1.48 1.71 1.88 1.95 1.92 1.87 1.85 1.87 1.90 1.87 1.71 1.41 0.98 0.52 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.19 0.36 0.44 0.36 0.15 0.00 0.00 0.00 0.09 0.37 0.57 0.59 0.47 0.29 0.17 0.20 0.35 0.58 0.79 0.95 1.05 1.14 1.23 1.34 1.41 1.39 1.25 0.99 0.68 0.42 0.29 0.33 0.51 0.72 0.84 0.81 0.64 0.43 0.31 0.36 0.57 0.85 1.09 1.20 1.20 1.15 1.15 1.27 1.48 1.71 1.88 1.95 1.92 1.87 1.85 1.87 1.90 1.87 1.71 1.41 0.98 0.52 0.12 0.00 0.00 0.00 20.0 + 22.5 0.00 0.00 0.00 0.00 0.00 0.04 0.17 0.39 0.63 0.77 0.75 0.56 0.31 0.15 0.17 0.36 0.63 0.82 0.86 0.73 0.54 0.40 0.39 0.52 0.74 0.95 1.11 1.21 1.28 1.37 1.46 1.53 1.53 1.41 1.17 0.86 0.58 0.41 0.40 0.54 0.72 0.86 0.85 0.72 0.53 0.40 0.43 0.62 0.90 1.14 1.27 1.27 1.21 1.20 1.31 1.52 1.77 1.97 2.05 2.01 1.91 1.80 1.74 1.72 1.68 1.55 1.29 0.92 0.49 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.17 0.39 0.63 0.77 0.75 0.56 0.31 0.15 0.17 0.36 0.63 0.82 0.86 0.73 0.54 0.40 0.39 0.52 0.74 0.95 1.11 1.21 1.28 1.37 1.46 1.53 1.53 1.41 1.17 0.86 0.58 0.41 0.40 0.54 0.72 0.86 0.85 0.72 0.53 0.40 0.43 0.62 0.90 1.14 1.27 1.27 1.21 1.20 1.31 1.52 1.77 1.97 2.05 2.01 1.91 1.80 1.74 1.72 1.68 1.55 1.29 0.92 0.49 0.10 0.00 0.00 0.00 22.5 + 25.0 0.00 0.00 0.11 0.19 0.21 0.26 0.40 0.65 0.94 1.14 1.17 1.01 0.76 0.56 0.52 0.67 0.90 1.08 1.11 0.98 0.77 0.60 0.55 0.65 0.83 1.03 1.19 1.28 1.35 1.41 1.49 1.54 1.54 1.44 1.24 0.96 0.68 0.48 0.42 0.50 0.67 0.82 0.88 0.81 0.67 0.57 0.61 0.80 1.10 1.39 1.56 1.60 1.54 1.50 1.55 1.72 1.95 2.14 2.21 2.15 1.99 1.81 1.66 1.58 1.53 1.44 1.25 0.93 0.54 0.15 0.00 0.00 0.00 0.00 0.11 0.19 0.21 0.26 0.40 0.65 0.94 1.14 1.17 1.01 0.76 0.56 0.52 0.67 0.90 1.08 1.11 0.98 0.77 0.60 0.55 0.65 0.83 1.03 1.19 1.28 1.35 1.41 1.49 1.54 1.54 1.44 1.24 0.96 0.68 0.48 0.42 0.50 0.67 0.82 0.88 0.81 0.67 0.57 0.61 0.80 1.10 1.39 1.56 1.60 1.54 1.50 1.55 1.72 1.95 2.14 2.21 2.15 1.99 1.81 1.66 1.58 1.53 1.44 1.25 0.93 0.54 0.15 0.00 0.00 0.00 25.0 + 27.5 0.00 0.16 0.34 0.44 0.47 0.51 0.63 0.87 1.18 1.42 1.49 1.35 1.10 0.86 0.78 0.87 1.07 1.23 1.26 1.12 0.90 0.70 0.61 0.66 0.80 0.96 1.10 1.18 1.22 1.26 1.30 1.34 1.34 1.28 1.14 0.92 0.68 0.48 0.39 0.43 0.59 0.77 0.90 0.93 0.88 0.85 0.93 1.17 1.53 1.92 2.19 2.30 2.27 2.18 2.15 2.21 2.35 2.48 2.51 2.39 2.16 1.88 1.64 1.50 1.43 1.38 1.24 0.99 0.63 0.26 0.00 0.00 0.00 0.16 0.34 0.44 0.47 0.51 0.63 0.87 1.18 1.42 1.49 1.35 1.10 0.86 0.78 0.87 1.07 1.23 1.26 1.12 0.90 0.70 0.61 0.66 0.80 0.96 1.10 1.18 1.22 1.26 1.30 1.34 1.34 1.28 1.14 0.92 0.68 0.48 0.39 0.43 0.59 0.77 0.90 0.93 0.88 0.85 0.93 1.17 1.53 1.92 2.19 2.30 2.27 2.18 2.15 2.21 2.35 2.48 2.51 2.39 2.16 1.88 1.64 1.50 1.43 1.38 1.24 0.99 0.63 0.26 0.00 0.00 0.00 27.5 + 30.0 0.19 0.41 0.62 0.74 0.75 0.74 0.81 1.01 1.30 1.54 1.62 1.49 1.23 0.96 0.83 0.88 1.05 1.20 1.23 1.11 0.88 0.66 0.53 0.53 0.61 0.73 0.83 0.89 0.91 0.91 0.93 0.95 0.97 0.97 0.92 0.80 0.64 0.48 0.38 0.40 0.55 0.77 0.98 1.12 1.18 1.23 1.38 1.70 2.17 2.69 3.12 3.35 3.36 3.23 3.08 2.99 2.99 3.00 2.93 2.73 2.40 2.01 1.68 1.48 1.39 1.36 1.28 1.07 0.75 0.40 0.14 0.07 0.19 0.41 0.62 0.74 0.75 0.74 0.81 1.01 1.30 1.54 1.62 1.49 1.23 0.96 0.83 0.88 1.05 1.20 1.23 1.11 0.88 0.66 0.53 0.53 0.61 0.73 0.83 0.89 0.91 0.91 0.93 0.95 0.97 0.97 0.92 0.80 0.64 0.48 0.38 0.40 0.55 0.77 0.98 1.12 1.18 1.23 1.38 1.70 2.17 2.69 3.12 3.35 3.36 3.23 3.08 2.99 2.99 3.00 2.93 2.73 2.40 2.01 1.68 1.48 1.39 1.36 1.28 1.07 0.75 0.40 0.14 0.07 0.19 30.0 + 32.5 0.41 0.67 0.91 1.01 0.99 0.92 0.92 1.06 1.30 1.52 1.59 1.46 1.17 0.88 0.71 0.72 0.86 1.01 1.06 0.96 0.75 0.52 0.36 0.30 0.33 0.41 0.48 0.52 0.52 0.51 0.51 0.53 0.59 0.67 0.72 0.73 0.67 0.57 0.48 0.49 0.63 0.87 1.15 1.39 1.55 1.68 1.90 2.29 2.87 3.53 4.12 4.49 4.57 4.41 4.14 3.89 3.72 3.58 3.40 3.10 2.68 2.20 1.80 1.54 1.44 1.43 1.39 1.22 0.92 0.58 0.33 0.27 0.41 0.67 0.91 1.01 0.99 0.92 0.92 1.06 1.30 1.52 1.59 1.46 1.17 0.88 0.71 0.72 0.86 1.01 1.06 0.96 0.75 0.52 0.36 0.30 0.33 0.41 0.48 0.52 0.52 0.51 0.51 0.53 0.59 0.67 0.72 0.73 0.67 0.57 0.48 0.49 0.63 0.87 1.15 1.39 1.55 1.68 1.90 2.29 2.87 3.53 4.12 4.49 4.57 4.41 4.14 3.89 3.72 3.58 3.40 3.10 2.68 2.20 1.80 1.54 1.44 1.43 1.39 1.22 0.92 0.58 0.33 0.27 0.41 32.5 + 35.0 0.64 0.90 1.13 1.23 1.17 1.05 0.99 1.07 1.26 1.46 1.51 1.37 1.06 0.73 0.52 0.49 0.61 0.77 0.84 0.77 0.58 0.35 0.17 0.08 0.08 0.14 0.20 0.24 0.25 0.25 0.25 0.29 0.38 0.53 0.69 0.81 0.84 0.80 0.72 0.71 0.82 1.07 1.39 1.69 1.91 2.09 2.34 2.77 3.41 4.18 4.91 5.40 5.55 5.38 5.02 4.63 4.30 4.03 3.75 3.38 2.91 2.39 1.95 1.68 1.59 1.60 1.59 1.45 1.17 0.82 0.56 0.49 0.64 0.90 1.13 1.23 1.17 1.05 0.99 1.07 1.26 1.46 1.51 1.37 1.06 0.73 0.52 0.49 0.61 0.77 0.84 0.77 0.58 0.35 0.17 0.08 0.08 0.14 0.20 0.24 0.25 0.25 0.25 0.29 0.38 0.53 0.69 0.81 0.84 0.80 0.72 0.71 0.82 1.07 1.39 1.69 1.91 2.09 2.34 2.77 3.41 4.18 4.91 5.40 5.55 5.38 5.02 4.63 4.30 4.03 3.75 3.38 2.91 2.39 1.95 1.68 1.59 1.60 1.59 1.45 1.17 0.82 0.56 0.49 0.64 35.0 + 37.5 0.84 1.07 1.29 1.37 1.30 1.15 1.06 1.11 1.29 1.48 1.53 1.37 1.04 0.66 0.40 0.34 0.44 0.60 0.69 0.64 0.47 0.25 0.06 0.00 0.00 0.04 0.12 0.19 0.23 0.25 0.26 0.32 0.44 0.63 0.85 1.04 1.13 1.10 1.02 0.98 1.06 1.29 1.60 1.91 2.15 2.33 2.55 2.96 3.60 4.41 5.20 5.78 5.99 5.83 5.42 4.95 4.52 4.18 3.86 3.48 3.01 2.51 2.09 1.84 1.79 1.85 1.88 1.77 1.49 1.13 0.84 0.73 0.84 1.07 1.29 1.37 1.30 1.15 1.06 1.11 1.29 1.48 1.53 1.37 1.04 0.66 0.40 0.34 0.44 0.60 0.69 0.64 0.47 0.25 0.06 0.00 0.00 0.04 0.12 0.19 0.23 0.25 0.26 0.32 0.44 0.63 0.85 1.04 1.13 1.10 1.02 0.98 1.06 1.29 1.60 1.91 2.15 2.33 2.55 2.96 3.60 4.41 5.20 5.78 5.99 5.83 5.42 4.95 4.52 4.18 3.86 3.48 3.01 2.51 2.09 1.84 1.79 1.85 1.88 1.77 1.49 1.13 0.84 0.73 0.84 37.5 + 40.0 1.03 1.22 1.41 1.48 1.41 1.28 1.20 1.27 1.46 1.67 1.73 1.56 1.20 0.78 0.47 0.35 0.43 0.58 0.68 0.66 0.50 0.29 0.11 0.04 0.06 0.17 0.29 0.40 0.47 0.50 0.53 0.59 0.71 0.90 1.13 1.31 1.39 1.36 1.24 1.16 1.20 1.38 1.67 1.96 2.16 2.29 2.44 2.76 3.33 4.10 4.89 5.49 5.74 5.61 5.20 4.71 4.27 3.93 3.64 3.31 2.91 2.48 2.13 1.95 1.97 2.09 2.18 2.11 1.85 1.48 1.14 0.98 1.03 1.22 1.41 1.48 1.41 1.28 1.20 1.27 1.46 1.67 1.73 1.56 1.20 0.78 0.47 0.35 0.43 0.58 0.68 0.66 0.50 0.29 0.11 0.04 0.06 0.17 0.29 0.40 0.47 0.50 0.53 0.59 0.71 0.90 1.13 1.31 1.39 1.36 1.24 1.16 1.20 1.38 1.67 1.96 2.16 2.29 2.44 2.76 3.33 4.10 4.89 5.49 5.74 5.61 5.20 4.71 4.27 3.93 3.64 3.31 2.91 2.48 2.13 1.95 1.97 2.09 2.18 2.11 1.85 1.48 1.14 0.98 1.03 40.0 + 42.5 1.23 1.37 1.54 1.62 1.58 1.49 1.46 1.58 1.82 2.05 2.14 1.97 1.59 1.12 0.74 0.57 0.60 0.73 0.84 0.82 0.67 0.47 0.31 0.26 0.33 0.47 0.63 0.76 0.83 0.86 0.88 0.92 1.02 1.17 1.34 1.46 1.49 1.41 1.26 1.14 1.14 1.29 1.53 1.77 1.92 1.97 2.03 2.23 2.68 3.34 4.07 4.64 4.90 4.80 4.43 3.99 3.60 3.33 3.13 2.90 2.61 2.29 2.03 1.93 2.02 2.22 2.38 2.37 2.16 1.80 1.44 1.23 1.23 1.37 1.54 1.62 1.58 1.49 1.46 1.58 1.82 2.05 2.14 1.97 1.59 1.12 0.74 0.57 0.60 0.73 0.84 0.82 0.67 0.47 0.31 0.26 0.33 0.47 0.63 0.76 0.83 0.86 0.88 0.92 1.02 1.17 1.34 1.46 1.49 1.41 1.26 1.14 1.14 1.29 1.53 1.77 1.92 1.97 2.03 2.23 2.68 3.34 4.07 4.64 4.90 4.80 4.43 3.99 3.60 3.33 3.13 2.90 2.61 2.29 2.03 1.93 2.02 2.22 2.38 2.37 2.16 1.80 1.44 1.23 1.23 42.5 + 45.0 1.44 1.56 1.73 1.84 1.85 1.83 1.87 2.05 2.34 2.62 2.72 2.56 2.15 1.63 1.18 0.93 0.91 1.01 1.10 1.07 0.93 0.74 0.59 0.56 0.66 0.82 0.99 1.11 1.15 1.14 1.12 1.12 1.17 1.25 1.34 1.39 1.34 1.21 1.04 0.91 0.90 1.02 1.23 1.42 1.50 1.48 1.44 1.53 1.84 2.37 2.99 3.50 3.73 3.65 3.35 2.98 2.69 2.53 2.44 2.34 2.16 1.94 1.76 1.73 1.88 2.14 2.38 2.46 2.32 2.01 1.68 1.46 1.44 1.56 1.73 1.84 1.85 1.83 1.87 2.05 2.34 2.62 2.72 2.56 2.15 1.63 1.18 0.93 0.91 1.01 1.10 1.07 0.93 0.74 0.59 0.56 0.66 0.82 0.99 1.11 1.15 1.14 1.12 1.12 1.17 1.25 1.34 1.39 1.34 1.21 1.04 0.91 0.90 1.02 1.23 1.42 1.50 1.48 1.44 1.53 1.84 2.37 2.99 3.50 3.73 3.65 3.35 2.98 2.69 2.53 2.44 2.34 2.16 1.94 1.76 1.73 1.88 2.14 2.38 2.46 2.32 2.01 1.68 1.46 1.44 45.0 + 47.5 1.63 1.78 1.98 2.15 2.24 2.30 2.41 2.64 2.97 3.28 3.40 3.24 2.81 2.25 1.73 1.40 1.30 1.34 1.38 1.34 1.18 0.99 0.85 0.84 0.94 1.10 1.24 1.30 1.28 1.21 1.13 1.08 1.08 1.10 1.12 1.09 0.99 0.84 0.68 0.58 0.58 0.71 0.89 1.03 1.07 0.99 0.88 0.87 1.07 1.46 1.96 2.37 2.56 2.49 2.24 1.96 1.77 1.72 1.74 1.75 1.66 1.51 1.38 1.38 1.55 1.86 2.16 2.33 2.28 2.07 1.81 1.64 1.63 1.78 1.98 2.15 2.24 2.30 2.41 2.64 2.97 3.28 3.40 3.24 2.81 2.25 1.73 1.40 1.30 1.34 1.38 1.34 1.18 0.99 0.85 0.84 0.94 1.10 1.24 1.30 1.28 1.21 1.13 1.08 1.08 1.10 1.12 1.09 0.99 0.84 0.68 0.58 0.58 0.71 0.89 1.03 1.07 0.99 0.88 0.87 1.07 1.46 1.96 2.37 2.56 2.49 2.24 1.96 1.77 1.72 1.74 1.75 1.66 1.51 1.38 1.38 1.55 1.86 2.16 2.33 2.28 2.07 1.81 1.64 1.63 47.5 + 50.0 1.75 1.96 2.24 2.49 2.67 2.81 2.99 3.27 3.63 3.95 4.09 3.94 3.51 2.92 2.34 1.93 1.73 1.68 1.65 1.55 1.37 1.16 1.03 1.01 1.11 1.24 1.32 1.30 1.19 1.04 0.91 0.82 0.79 0.77 0.75 0.68 0.58 0.44 0.33 0.29 0.34 0.48 0.64 0.76 0.76 0.66 0.51 0.44 0.54 0.82 1.19 1.50 1.64 1.57 1.35 1.13 1.02 1.05 1.15 1.23 1.21 1.09 0.97 0.95 1.11 1.41 1.74 1.98 2.04 1.94 1.78 1.69 1.75 1.96 2.24 2.49 2.67 2.81 2.99 3.27 3.63 3.95 4.09 3.94 3.51 2.92 2.34 1.93 1.73 1.68 1.65 1.55 1.37 1.16 1.03 1.01 1.11 1.24 1.32 1.30 1.19 1.04 0.91 0.82 0.79 0.77 0.75 0.68 0.58 0.44 0.33 0.29 0.34 0.48 0.64 0.76 0.76 0.66 0.51 0.44 0.54 0.82 1.19 1.50 1.64 1.57 1.35 1.13 1.02 1.05 1.15 1.23 1.21 1.09 0.97 0.95 1.11 1.41 1.74 1.98 2.04 1.94 1.78 1.69 1.75 50.0 + 52.5 1.74 2.03 2.39 2.74 3.02 3.26 3.50 3.82 4.19 4.52 4.68 4.57 4.16 3.57 2.96 2.47 2.17 2.00 1.88 1.71 1.48 1.26 1.11 1.08 1.15 1.24 1.26 1.17 0.98 0.77 0.60 0.49 0.45 0.43 0.40 0.34 0.26 0.18 0.14 0.16 0.25 0.41 0.57 0.67 0.66 0.55 0.39 0.28 0.31 0.50 0.76 0.98 1.07 0.98 0.78 0.59 0.52 0.58 0.73 0.84 0.84 0.73 0.59 0.53 0.64 0.90 1.22 1.50 1.63 1.63 1.58 1.59 1.74 2.03 2.39 2.74 3.02 3.26 3.50 3.82 4.19 4.52 4.68 4.57 4.16 3.57 2.96 2.47 2.17 2.00 1.88 1.71 1.48 1.26 1.11 1.08 1.15 1.24 1.26 1.17 0.98 0.77 0.60 0.49 0.45 0.43 0.40 0.34 0.26 0.18 0.14 0.16 0.25 0.41 0.57 0.67 0.66 0.55 0.39 0.28 0.31 0.50 0.76 0.98 1.07 0.98 0.78 0.59 0.52 0.58 0.73 0.84 0.84 0.73 0.59 0.53 0.64 0.90 1.22 1.50 1.63 1.63 1.58 1.59 1.74 52.5 + 55.0 1.54 1.91 2.36 2.81 3.19 3.51 3.81 4.15 4.53 4.87 5.07 5.01 4.67 4.13 3.53 3.00 2.60 2.33 2.09 1.84 1.56 1.31 1.13 1.08 1.12 1.17 1.15 1.01 0.80 0.56 0.37 0.27 0.23 0.22 0.22 0.19 0.15 0.13 0.14 0.20 0.31 0.46 0.60 0.69 0.69 0.59 0.44 0.32 0.30 0.40 0.58 0.74 0.78 0.69 0.49 0.31 0.24 0.30 0.44 0.56 0.57 0.46 0.29 0.17 0.21 0.41 0.69 0.96 1.14 1.20 1.23 1.32 1.54 1.91 2.36 2.81 3.19 3.51 3.81 4.15 4.53 4.87 5.07 5.01 4.67 4.13 3.53 3.00 2.60 2.33 2.09 1.84 1.56 1.31 1.13 1.08 1.12 1.17 1.15 1.01 0.80 0.56 0.37 0.27 0.23 0.22 0.22 0.19 0.15 0.13 0.14 0.20 0.31 0.46 0.60 0.69 0.69 0.59 0.44 0.32 0.30 0.40 0.58 0.74 0.78 0.69 0.49 0.31 0.24 0.30 0.44 0.56 0.57 0.46 0.29 0.17 0.21 0.41 0.69 0.96 1.14 1.20 1.23 1.32 1.54 55.0 + 57.5 1.20 1.62 2.13 2.64 3.10 3.49 3.84 4.19 4.57 4.92 5.15 5.17 4.94 4.50 3.96 3.44 2.99 2.63 2.31 1.99 1.66 1.37 1.17 1.09 1.09 1.11 1.07 0.94 0.73 0.51 0.35 0.25 0.23 0.23 0.24 0.24 0.23 0.24 0.26 0.32 0.41 0.53 0.64 0.72 0.72 0.65 0.51 0.38 0.32 0.36 0.49 0.62 0.65 0.56 0.38 0.19 0.09 0.12 0.24 0.34 0.35 0.24 0.05 0.00 0.00 0.00 0.22 0.46 0.63 0.72 0.79 0.93 1.20 1.62 2.13 2.64 3.10 3.49 3.84 4.19 4.57 4.92 5.15 5.17 4.94 4.50 3.96 3.44 2.99 2.63 2.31 1.99 1.66 1.37 1.17 1.09 1.09 1.11 1.07 0.94 0.73 0.51 0.35 0.25 0.23 0.23 0.24 0.24 0.23 0.24 0.26 0.32 0.41 0.53 0.64 0.72 0.72 0.65 0.51 0.38 0.32 0.36 0.49 0.62 0.65 0.56 0.38 0.19 0.09 0.12 0.24 0.34 0.35 0.24 0.05 0.00 0.00 0.00 0.22 0.46 0.63 0.72 0.79 0.93 1.20 57.5 + 60.0 0.81 1.24 1.76 2.31 2.80 3.22 3.58 3.93 4.29 4.63 4.89 5.00 4.90 4.61 4.19 3.73 3.30 2.90 2.53 2.16 1.80 1.48 1.25 1.14 1.11 1.10 1.06 0.96 0.81 0.64 0.52 0.45 0.43 0.43 0.43 0.43 0.42 0.41 0.41 0.43 0.46 0.51 0.58 0.64 0.65 0.60 0.48 0.34 0.25 0.26 0.36 0.48 0.55 0.49 0.33 0.14 0.01 0.00 0.06 0.14 0.15 0.04 0.00 0.00 0.00 0.00 0.00 0.05 0.19 0.28 0.36 0.52 0.81 1.24 1.76 2.31 2.80 3.22 3.58 3.93 4.29 4.63 4.89 5.00 4.90 4.61 4.19 3.73 3.30 2.90 2.53 2.16 1.80 1.48 1.25 1.14 1.11 1.10 1.06 0.96 0.81 0.64 0.52 0.45 0.43 0.43 0.43 0.43 0.42 0.41 0.41 0.43 0.46 0.51 0.58 0.64 0.65 0.60 0.48 0.34 0.25 0.26 0.36 0.48 0.55 0.49 0.33 0.14 0.01 0.00 0.06 0.14 0.15 0.04 0.00 0.00 0.00 0.00 0.00 0.05 0.19 0.28 0.36 0.52 0.81 60.0 + 62.5 0.49 0.90 1.40 1.92 2.39 2.79 3.13 3.44 3.75 4.06 4.34 4.52 4.55 4.42 4.16 3.83 3.46 3.08 2.71 2.33 1.97 1.64 1.39 1.23 1.16 1.13 1.10 1.05 0.97 0.88 0.81 0.77 0.75 0.72 0.69 0.64 0.60 0.55 0.50 0.44 0.40 0.38 0.40 0.44 0.46 0.42 0.31 0.17 0.07 0.06 0.15 0.30 0.41 0.41 0.29 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.20 0.49 0.90 1.40 1.92 2.39 2.79 3.13 3.44 3.75 4.06 4.34 4.52 4.55 4.42 4.16 3.83 3.46 3.08 2.71 2.33 1.97 1.64 1.39 1.23 1.16 1.13 1.10 1.05 0.97 0.88 0.81 0.77 0.75 0.72 0.69 0.64 0.60 0.55 0.50 0.44 0.40 0.38 0.40 0.44 0.46 0.42 0.31 0.17 0.07 0.06 0.15 0.30 0.41 0.41 0.29 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.20 0.49 62.5 + 65.0 0.36 0.75 1.19 1.64 2.03 2.36 2.62 2.85 3.09 3.35 3.61 3.84 3.98 4.01 3.92 3.73 3.47 3.17 2.84 2.50 2.15 1.83 1.56 1.36 1.24 1.18 1.16 1.15 1.14 1.13 1.13 1.11 1.07 1.01 0.91 0.81 0.71 0.61 0.51 0.40 0.30 0.22 0.20 0.22 0.24 0.21 0.11 0.00 0.00 0.00 0.00 0.13 0.29 0.34 0.26 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.36 0.75 1.19 1.64 2.03 2.36 2.62 2.85 3.09 3.35 3.61 3.84 3.98 4.01 3.92 3.73 3.47 3.17 2.84 2.50 2.15 1.83 1.56 1.36 1.24 1.18 1.16 1.15 1.14 1.13 1.13 1.11 1.07 1.01 0.91 0.81 0.71 0.61 0.51 0.40 0.30 0.22 0.20 0.22 0.24 0.21 0.11 0.00 0.00 0.00 0.00 0.13 0.29 0.34 0.26 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.36 65.0 + 67.5 0.48 0.83 1.21 1.55 1.83 2.04 2.19 2.33 2.47 2.66 2.88 3.12 3.34 3.48 3.54 3.49 3.36 3.16 2.92 2.64 2.34 2.03 1.76 1.53 1.36 1.27 1.23 1.24 1.29 1.35 1.39 1.40 1.35 1.23 1.07 0.90 0.74 0.60 0.48 0.35 0.24 0.15 0.11 0.11 0.12 0.09 0.01 0.00 0.00 0.00 0.00 0.08 0.26 0.35 0.30 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.48 0.83 1.21 1.55 1.83 2.04 2.19 2.33 2.47 2.66 2.88 3.12 3.34 3.48 3.54 3.49 3.36 3.16 2.92 2.64 2.34 2.03 1.76 1.53 1.36 1.27 1.23 1.24 1.29 1.35 1.39 1.40 1.35 1.23 1.07 0.90 0.74 0.60 0.48 0.35 0.24 0.15 0.11 0.11 0.12 0.09 0.01 0.00 0.00 0.00 0.00 0.08 0.26 0.35 0.30 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.48 67.5 + 70.0 0.81 1.14 1.43 1.66 1.81 1.89 1.92 1.95 2.01 2.12 2.30 2.53 2.77 2.99 3.14 3.20 3.18 3.09 2.94 2.74 2.50 2.24 1.97 1.73 1.53 1.41 1.36 1.38 1.45 1.55 1.62 1.64 1.57 1.41 1.18 0.95 0.74 0.58 0.45 0.35 0.27 0.20 0.17 0.17 0.18 0.16 0.09 0.00 0.00 0.00 0.02 0.21 0.39 0.49 0.45 0.30 0.12 0.00 0.00 0.00 0.01 0.03 0.01 0.00 0.00 0.00 0.00 0.00 0.03 0.12 0.28 0.52 0.81 1.14 1.43 1.66 1.81 1.89 1.92 1.95 2.01 2.12 2.30 2.53 2.77 2.99 3.14 3.20 3.18 3.09 2.94 2.74 2.50 2.24 1.97 1.73 1.53 1.41 1.36 1.38 1.45 1.55 1.62 1.64 1.57 1.41 1.18 0.95 0.74 0.58 0.45 0.35 0.27 0.20 0.17 0.17 0.18 0.16 0.09 0.00 0.00 0.00 0.02 0.21 0.39 0.49 0.45 0.30 0.12 0.00 0.00 0.00 0.01 0.03 0.01 0.00 0.00 0.00 0.00 0.00 0.03 0.12 0.28 0.52 0.81 70.0 + 72.5 1.24 1.53 1.76 1.88 1.91 1.86 1.79 1.73 1.72 1.79 1.93 2.13 2.37 2.59 2.78 2.90 2.96 2.96 2.91 2.80 2.64 2.43 2.19 1.96 1.76 1.63 1.58 1.60 1.68 1.79 1.86 1.87 1.78 1.57 1.30 1.00 0.75 0.57 0.46 0.40 0.36 0.34 0.34 0.35 0.37 0.37 0.32 0.25 0.20 0.22 0.33 0.49 0.65 0.71 0.66 0.52 0.35 0.24 0.21 0.25 0.30 0.33 0.33 0.31 0.29 0.28 0.29 0.31 0.37 0.48 0.67 0.93 1.24 1.53 1.76 1.88 1.91 1.86 1.79 1.73 1.72 1.79 1.93 2.13 2.37 2.59 2.78 2.90 2.96 2.96 2.91 2.80 2.64 2.43 2.19 1.96 1.76 1.63 1.58 1.60 1.68 1.79 1.86 1.87 1.78 1.57 1.30 1.00 0.75 0.57 0.46 0.40 0.36 0.34 0.34 0.35 0.37 0.37 0.32 0.25 0.20 0.22 0.33 0.49 0.65 0.71 0.66 0.52 0.35 0.24 0.21 0.25 0.30 0.33 0.33 0.31 0.29 0.28 0.29 0.31 0.37 0.48 0.67 0.93 1.24 72.5 + 75.0 1.60 1.87 2.03 2.07 2.00 1.85 1.70 1.58 1.54 1.59 1.71 1.90 2.10 2.29 2.46 2.58 2.67 2.74 2.78 2.77 2.69 2.55 2.37 2.17 2.00 1.90 1.87 1.90 1.98 2.07 2.13 2.11 1.99 1.76 1.46 1.13 0.83 0.62 0.50 0.44 0.43 0.44 0.47 0.51 0.54 0.56 0.55 0.52 0.52 0.56 0.67 0.81 0.91 0.93 0.85 0.70 0.56 0.49 0.50 0.56 0.62 0.65 0.64 0.61 0.59 0.59 0.61 0.64 0.71 0.83 1.03 1.30 1.60 1.87 2.03 2.07 2.00 1.85 1.70 1.58 1.54 1.59 1.71 1.90 2.10 2.29 2.46 2.58 2.67 2.74 2.78 2.77 2.69 2.55 2.37 2.17 2.00 1.90 1.87 1.90 1.98 2.07 2.13 2.11 1.99 1.76 1.46 1.13 0.83 0.62 0.50 0.44 0.43 0.44 0.47 0.51 0.54 0.56 0.55 0.52 0.52 0.56 0.67 0.81 0.91 0.93 0.85 0.70 0.56 0.49 0.50 0.56 0.62 0.65 0.64 0.61 0.59 0.59 0.61 0.64 0.71 0.83 1.03 1.30 1.60 75.0 + 77.5 1.78 2.01 2.13 2.11 1.96 1.75 1.54 1.39 1.35 1.40 1.54 1.71 1.87 2.00 2.09 2.17 2.26 2.37 2.49 2.57 2.59 2.52 2.40 2.25 2.15 2.10 2.13 2.19 2.27 2.33 2.36 2.32 2.19 1.97 1.67 1.33 1.00 0.73 0.54 0.44 0.40 0.40 0.44 0.50 0.55 0.59 0.61 0.62 0.66 0.74 0.86 0.98 1.04 1.00 0.88 0.73 0.62 0.61 0.67 0.77 0.84 0.85 0.81 0.76 0.73 0.75 0.79 0.86 0.94 1.07 1.26 1.51 1.78 2.01 2.13 2.11 1.96 1.75 1.54 1.39 1.35 1.40 1.54 1.71 1.87 2.00 2.09 2.17 2.26 2.37 2.49 2.57 2.59 2.52 2.40 2.25 2.15 2.10 2.13 2.19 2.27 2.33 2.36 2.32 2.19 1.97 1.67 1.33 1.00 0.73 0.54 0.44 0.40 0.40 0.44 0.50 0.55 0.59 0.61 0.62 0.66 0.74 0.86 0.98 1.04 1.00 0.88 0.73 0.62 0.61 0.67 0.77 0.84 0.85 0.81 0.76 0.73 0.75 0.79 0.86 0.94 1.07 1.26 1.51 1.78 77.5 + 80.0 1.73 1.91 1.99 1.94 1.76 1.50 1.25 1.08 1.04 1.12 1.29 1.46 1.58 1.63 1.62 1.62 1.67 1.80 1.99 2.16 2.26 2.26 2.19 2.10 2.06 2.10 2.20 2.31 2.40 2.44 2.44 2.38 2.28 2.12 1.88 1.59 1.25 0.91 0.62 0.40 0.26 0.21 0.23 0.28 0.34 0.39 0.42 0.46 0.53 0.65 0.79 0.90 0.93 0.84 0.68 0.52 0.45 0.50 0.64 0.79 0.87 0.86 0.77 0.68 0.65 0.68 0.78 0.89 1.01 1.14 1.31 1.51 1.73 1.91 1.99 1.94 1.76 1.50 1.25 1.08 1.04 1.12 1.29 1.46 1.58 1.63 1.62 1.62 1.67 1.80 1.99 2.16 2.26 2.26 2.19 2.10 2.06 2.10 2.20 2.31 2.40 2.44 2.44 2.38 2.28 2.12 1.88 1.59 1.25 0.91 0.62 0.40 0.26 0.21 0.23 0.28 0.34 0.39 0.42 0.46 0.53 0.65 0.79 0.90 0.93 0.84 0.68 0.52 0.45 0.50 0.64 0.79 0.87 0.86 0.77 0.68 0.65 0.68 0.78 0.89 1.01 1.14 1.31 1.51 1.73 80.0 + 82.5 1.48 1.62 1.67 1.60 1.40 1.12 0.84 0.65 0.61 0.72 0.91 1.10 1.19 1.15 1.04 0.93 0.93 1.06 1.29 1.54 1.71 1.76 1.72 1.67 1.69 1.79 1.96 2.13 2.24 2.27 2.25 2.21 2.18 2.13 2.03 1.84 1.54 1.16 0.75 0.39 0.12 0.00 0.00 0.00 0.03 0.07 0.08 0.11 0.19 0.32 0.48 0.60 0.60 0.48 0.28 0.12 0.07 0.18 0.39 0.59 0.70 0.66 0.54 0.41 0.36 0.42 0.57 0.75 0.92 1.05 1.18 1.32 1.48 1.62 1.67 1.60 1.40 1.12 0.84 0.65 0.61 0.72 0.91 1.10 1.19 1.15 1.04 0.93 0.93 1.06 1.29 1.54 1.71 1.76 1.72 1.67 1.69 1.79 1.96 2.13 2.24 2.27 2.25 2.21 2.18 2.13 2.03 1.84 1.54 1.16 0.75 0.39 0.12 0.00 0.00 0.00 0.03 0.07 0.08 0.11 0.19 0.32 0.48 0.60 0.60 0.48 0.28 0.12 0.07 0.18 0.39 0.59 0.70 0.66 0.54 0.41 0.36 0.42 0.57 0.75 0.92 1.05 1.18 1.32 1.48 82.5 + 85.0 1.15 1.24 1.28 1.20 1.00 0.71 0.40 0.19 0.14 0.26 0.47 0.67 0.73 0.63 0.42 0.22 0.15 0.27 0.53 0.82 1.02 1.09 1.06 1.02 1.06 1.21 1.42 1.62 1.74 1.77 1.76 1.77 1.84 1.96 2.05 2.02 1.82 1.45 0.97 0.49 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.22 0.21 0.06 0.00 0.00 0.00 0.00 0.03 0.29 0.42 0.37 0.21 0.04 0.00 0.07 0.27 0.52 0.73 0.87 0.97 1.06 1.15 1.24 1.28 1.20 1.00 0.71 0.40 0.19 0.14 0.26 0.47 0.67 0.73 0.63 0.42 0.22 0.15 0.27 0.53 0.82 1.02 1.09 1.06 1.02 1.06 1.21 1.42 1.62 1.74 1.77 1.76 1.77 1.84 1.96 2.05 2.02 1.82 1.45 0.97 0.49 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.22 0.21 0.06 0.00 0.00 0.00 0.00 0.03 0.29 0.42 0.37 0.21 0.04 0.00 0.07 0.27 0.52 0.73 0.87 0.97 1.06 1.15 85.0 + 87.5 0.88 0.93 0.94 0.87 0.68 0.38 0.06 0.00 0.00 0.00 0.09 0.29 0.35 0.21 0.00 0.00 0.00 0.00 0.00 0.18 0.40 0.46 0.41 0.35 0.36 0.50 0.72 0.92 1.04 1.07 1.08 1.14 1.33 1.61 1.90 2.07 2.02 1.74 1.28 0.76 0.32 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.19 0.14 0.00 0.00 0.00 0.00 0.01 0.31 0.56 0.72 0.80 0.84 0.88 0.93 0.94 0.87 0.68 0.38 0.06 0.00 0.00 0.00 0.09 0.29 0.35 0.21 0.00 0.00 0.00 0.00 0.00 0.18 0.40 0.46 0.41 0.35 0.36 0.50 0.72 0.92 1.04 1.07 1.08 1.14 1.33 1.61 1.90 2.07 2.02 1.74 1.28 0.76 0.32 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.19 0.14 0.00 0.00 0.00 0.00 0.01 0.31 0.56 0.72 0.80 0.84 0.88 87.5 + 90.0 0.77 0.78 0.77 0.70 0.53 0.24 0.00 0.00 0.00 0.00 0.00 0.10 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.05 0.00 0.00 0.00 0.00 0.09 0.26 0.35 0.37 0.39 0.50 0.76 1.17 1.61 1.96 2.10 1.96 1.61 1.17 0.76 0.50 0.39 0.37 0.35 0.26 0.09 0.00 0.00 0.00 0.00 0.05 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.10 0.00 0.00 0.00 0.00 0.00 0.24 0.53 0.70 0.77 0.78 0.77 0.78 0.77 0.70 0.53 0.24 0.00 0.00 0.00 0.00 0.00 0.10 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.05 0.00 0.00 0.00 0.00 0.09 0.26 0.35 0.37 0.39 0.50 0.76 1.17 1.61 1.96 2.10 1.96 1.61 1.17 0.76 0.50 0.39 0.37 0.35 0.26 0.09 0.00 0.00 0.00 0.00 0.05 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.10 0.00 0.00 0.00 0.00 0.00 0.24 0.53 0.70 0.77 0.78 0.77 90.0 + + 20.0 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.82 ) PHI2 = 20. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.0 + 2.5 0.65 0.49 0.39 0.35 0.36 0.34 0.26 0.08 0.00 0.00 0.00 0.00 0.00 0.08 0.28 0.39 0.41 0.40 0.42 0.50 0.65 0.85 1.06 1.28 1.51 1.76 1.99 2.16 2.23 2.19 2.04 1.82 1.58 1.35 1.12 0.90 0.71 0.55 0.45 0.41 0.41 0.37 0.25 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.23 0.33 0.36 0.37 0.42 0.54 0.71 0.92 1.14 1.36 1.61 1.86 2.09 2.25 2.30 2.22 2.04 1.79 1.54 1.29 1.07 0.85 0.65 0.49 0.39 0.35 0.36 0.34 0.26 0.08 0.00 0.00 0.00 0.00 0.00 0.08 0.28 0.39 0.41 0.40 0.42 0.50 0.65 0.85 1.06 1.28 1.51 1.76 1.99 2.16 2.23 2.19 2.04 1.82 1.58 1.35 1.12 0.90 0.71 0.55 0.45 0.41 0.41 0.37 0.25 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.23 0.33 0.36 0.37 0.42 0.54 0.71 0.92 1.14 1.36 1.61 1.86 2.09 2.25 2.30 2.22 2.04 1.79 1.54 1.29 1.07 0.85 0.65 2.5 + 5.0 0.51 0.36 0.27 0.26 0.30 0.34 0.33 0.22 0.05 0.00 0.00 0.00 0.02 0.23 0.40 0.49 0.48 0.43 0.39 0.41 0.51 0.68 0.89 1.13 1.39 1.65 1.90 2.10 2.20 2.19 2.07 1.86 1.62 1.36 1.11 0.88 0.69 0.56 0.50 0.49 0.49 0.45 0.33 0.13 0.00 0.00 0.00 0.00 0.00 0.15 0.28 0.34 0.35 0.36 0.43 0.56 0.75 0.96 1.20 1.45 1.73 2.01 2.27 2.43 2.45 2.33 2.08 1.77 1.46 1.18 0.93 0.71 0.51 0.36 0.27 0.26 0.30 0.34 0.33 0.22 0.05 0.00 0.00 0.00 0.02 0.23 0.40 0.49 0.48 0.43 0.39 0.41 0.51 0.68 0.89 1.13 1.39 1.65 1.90 2.10 2.20 2.19 2.07 1.86 1.62 1.36 1.11 0.88 0.69 0.56 0.50 0.49 0.49 0.45 0.33 0.13 0.00 0.00 0.00 0.00 0.00 0.15 0.28 0.34 0.35 0.36 0.43 0.56 0.75 0.96 1.20 1.45 1.73 2.01 2.27 2.43 2.45 2.33 2.08 1.77 1.46 1.18 0.93 0.71 0.51 5.0 + 7.5 0.34 0.20 0.13 0.15 0.22 0.32 0.38 0.36 0.26 0.13 0.04 0.05 0.17 0.34 0.50 0.58 0.55 0.45 0.35 0.29 0.33 0.47 0.67 0.93 1.20 1.48 1.75 1.96 2.09 2.12 2.04 1.85 1.60 1.32 1.04 0.81 0.63 0.55 0.54 0.58 0.61 0.57 0.44 0.24 0.05 0.00 0.00 0.04 0.21 0.36 0.44 0.45 0.44 0.46 0.53 0.68 0.87 1.08 1.32 1.59 1.89 2.20 2.46 2.61 2.60 2.40 2.08 1.69 1.32 0.99 0.73 0.52 0.34 0.20 0.13 0.15 0.22 0.32 0.38 0.36 0.26 0.13 0.04 0.05 0.17 0.34 0.50 0.58 0.55 0.45 0.35 0.29 0.33 0.47 0.67 0.93 1.20 1.48 1.75 1.96 2.09 2.12 2.04 1.85 1.60 1.32 1.04 0.81 0.63 0.55 0.54 0.58 0.61 0.57 0.44 0.24 0.05 0.00 0.00 0.04 0.21 0.36 0.44 0.45 0.44 0.46 0.53 0.68 0.87 1.08 1.32 1.59 1.89 2.20 2.46 2.61 2.60 2.40 2.08 1.69 1.32 0.99 0.73 0.52 0.34 7.5 + 10.0 0.18 0.07 0.02 0.04 0.13 0.27 0.38 0.43 0.38 0.26 0.16 0.12 0.19 0.34 0.50 0.60 0.58 0.46 0.30 0.19 0.17 0.27 0.47 0.73 1.00 1.27 1.52 1.73 1.88 1.94 1.90 1.75 1.51 1.21 0.92 0.68 0.54 0.51 0.57 0.67 0.72 0.69 0.55 0.37 0.22 0.16 0.23 0.39 0.56 0.68 0.71 0.69 0.67 0.69 0.78 0.93 1.11 1.30 1.50 1.74 2.03 2.33 2.58 2.70 2.63 2.37 1.97 1.52 1.10 0.76 0.51 0.32 0.18 0.07 0.02 0.04 0.13 0.27 0.38 0.43 0.38 0.26 0.16 0.12 0.19 0.34 0.50 0.60 0.58 0.46 0.30 0.19 0.17 0.27 0.47 0.73 1.00 1.27 1.52 1.73 1.88 1.94 1.90 1.75 1.51 1.21 0.92 0.68 0.54 0.51 0.57 0.67 0.72 0.69 0.55 0.37 0.22 0.16 0.23 0.39 0.56 0.68 0.71 0.69 0.67 0.69 0.78 0.93 1.11 1.30 1.50 1.74 2.03 2.33 2.58 2.70 2.63 2.37 1.97 1.52 1.10 0.76 0.51 0.32 0.18 10.0 + 12.5 0.06 0.00 0.00 0.00 0.05 0.18 0.32 0.41 0.39 0.28 0.14 0.05 0.07 0.20 0.38 0.52 0.55 0.45 0.28 0.13 0.07 0.15 0.33 0.58 0.83 1.07 1.27 1.46 1.61 1.70 1.70 1.59 1.37 1.07 0.77 0.53 0.42 0.45 0.58 0.74 0.82 0.79 0.66 0.48 0.37 0.37 0.51 0.73 0.92 1.03 1.04 1.00 0.98 1.02 1.13 1.28 1.43 1.57 1.71 1.89 2.12 2.37 2.57 2.63 2.51 2.19 1.74 1.25 0.82 0.50 0.28 0.15 0.06 0.00 0.00 0.00 0.05 0.18 0.32 0.41 0.39 0.28 0.14 0.05 0.07 0.20 0.38 0.52 0.55 0.45 0.28 0.13 0.07 0.15 0.33 0.58 0.83 1.07 1.27 1.46 1.61 1.70 1.70 1.59 1.37 1.07 0.77 0.53 0.42 0.45 0.58 0.74 0.82 0.79 0.66 0.48 0.37 0.37 0.51 0.73 0.92 1.03 1.04 1.00 0.98 1.02 1.13 1.28 1.43 1.57 1.71 1.89 2.12 2.37 2.57 2.63 2.51 2.19 1.74 1.25 0.82 0.50 0.28 0.15 0.06 12.5 + 15.0 0.00 0.00 0.00 0.00 0.00 0.10 0.25 0.35 0.35 0.24 0.07 0.00 0.00 0.01 0.22 0.42 0.51 0.46 0.30 0.14 0.06 0.11 0.28 0.51 0.73 0.93 1.09 1.24 1.37 1.48 1.52 1.45 1.26 0.97 0.67 0.44 0.35 0.42 0.59 0.79 0.90 0.87 0.73 0.56 0.47 0.52 0.72 0.97 1.19 1.30 1.31 1.26 1.24 1.31 1.45 1.61 1.74 1.83 1.89 1.99 2.13 2.30 2.42 2.43 2.25 1.90 1.43 0.95 0.53 0.24 0.08 0.01 0.00 0.00 0.00 0.00 0.00 0.10 0.25 0.35 0.35 0.24 0.07 0.00 0.00 0.01 0.22 0.42 0.51 0.46 0.30 0.14 0.06 0.11 0.28 0.51 0.73 0.93 1.09 1.24 1.37 1.48 1.52 1.45 1.26 0.97 0.67 0.44 0.35 0.42 0.59 0.79 0.90 0.87 0.73 0.56 0.47 0.52 0.72 0.97 1.19 1.30 1.31 1.26 1.24 1.31 1.45 1.61 1.74 1.83 1.89 1.99 2.13 2.30 2.42 2.43 2.25 1.90 1.43 0.95 0.53 0.24 0.08 0.01 0.00 15.0 + 17.5 0.00 0.00 0.00 0.00 0.00 0.06 0.21 0.34 0.37 0.27 0.08 0.00 0.00 0.00 0.12 0.36 0.51 0.51 0.38 0.22 0.13 0.16 0.31 0.53 0.73 0.90 1.02 1.14 1.27 1.39 1.46 1.42 1.26 0.99 0.68 0.45 0.35 0.42 0.61 0.82 0.94 0.92 0.78 0.61 0.52 0.58 0.80 1.07 1.31 1.42 1.42 1.37 1.36 1.45 1.62 1.80 1.94 2.01 2.02 2.03 2.07 2.14 2.19 2.13 1.94 1.59 1.14 0.67 0.28 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.21 0.34 0.37 0.27 0.08 0.00 0.00 0.00 0.12 0.36 0.51 0.51 0.38 0.22 0.13 0.16 0.31 0.53 0.73 0.90 1.02 1.14 1.27 1.39 1.46 1.42 1.26 0.99 0.68 0.45 0.35 0.42 0.61 0.82 0.94 0.92 0.78 0.61 0.52 0.58 0.80 1.07 1.31 1.42 1.42 1.37 1.36 1.45 1.62 1.80 1.94 2.01 2.02 2.03 2.07 2.14 2.19 2.13 1.94 1.59 1.14 0.67 0.28 0.02 0.00 0.00 0.00 17.5 + 20.0 0.00 0.00 0.00 0.00 0.00 0.09 0.27 0.44 0.52 0.45 0.26 0.04 0.00 0.00 0.16 0.41 0.60 0.64 0.53 0.37 0.26 0.27 0.41 0.62 0.82 0.97 1.08 1.19 1.30 1.43 1.51 1.50 1.36 1.10 0.80 0.54 0.41 0.45 0.61 0.81 0.94 0.94 0.80 0.64 0.54 0.60 0.80 1.07 1.30 1.41 1.41 1.36 1.36 1.45 1.65 1.86 2.03 2.10 2.08 2.02 1.97 1.94 1.92 1.83 1.63 1.31 0.90 0.48 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.27 0.44 0.52 0.45 0.26 0.04 0.00 0.00 0.16 0.41 0.60 0.64 0.53 0.37 0.26 0.27 0.41 0.62 0.82 0.97 1.08 1.19 1.30 1.43 1.51 1.50 1.36 1.10 0.80 0.54 0.41 0.45 0.61 0.81 0.94 0.94 0.80 0.64 0.54 0.60 0.80 1.07 1.30 1.41 1.41 1.36 1.36 1.45 1.65 1.86 2.03 2.10 2.08 2.02 1.97 1.94 1.92 1.83 1.63 1.31 0.90 0.48 0.11 0.00 0.00 0.00 0.00 20.0 + 22.5 0.00 0.00 0.00 0.01 0.06 0.19 0.40 0.63 0.78 0.76 0.59 0.35 0.18 0.17 0.34 0.58 0.77 0.82 0.72 0.55 0.42 0.42 0.53 0.73 0.93 1.08 1.20 1.30 1.40 1.52 1.60 1.59 1.47 1.24 0.94 0.66 0.49 0.47 0.59 0.76 0.90 0.92 0.83 0.68 0.59 0.64 0.83 1.09 1.33 1.46 1.46 1.41 1.39 1.47 1.66 1.89 2.08 2.15 2.12 2.00 1.87 1.76 1.66 1.55 1.38 1.12 0.77 0.38 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.06 0.19 0.40 0.63 0.78 0.76 0.59 0.35 0.18 0.17 0.34 0.58 0.77 0.82 0.72 0.55 0.42 0.42 0.53 0.73 0.93 1.08 1.20 1.30 1.40 1.52 1.60 1.59 1.47 1.24 0.94 0.66 0.49 0.47 0.59 0.76 0.90 0.92 0.83 0.68 0.59 0.64 0.83 1.09 1.33 1.46 1.46 1.41 1.39 1.47 1.66 1.89 2.08 2.15 2.12 2.00 1.87 1.76 1.66 1.55 1.38 1.12 0.77 0.38 0.03 0.00 0.00 0.00 0.00 22.5 + 25.0 0.00 0.01 0.10 0.15 0.21 0.35 0.58 0.86 1.06 1.10 0.96 0.72 0.52 0.46 0.57 0.79 0.97 1.02 0.92 0.74 0.59 0.54 0.63 0.80 0.99 1.14 1.25 1.34 1.43 1.52 1.58 1.58 1.48 1.28 1.01 0.74 0.54 0.47 0.53 0.68 0.83 0.90 0.88 0.80 0.75 0.81 1.01 1.30 1.57 1.75 1.79 1.74 1.69 1.73 1.86 2.06 2.23 2.29 2.22 2.04 1.82 1.62 1.46 1.33 1.20 1.00 0.71 0.36 0.02 0.00 0.00 0.00 0.00 0.01 0.10 0.15 0.21 0.35 0.58 0.86 1.06 1.10 0.96 0.72 0.52 0.46 0.57 0.79 0.97 1.02 0.92 0.74 0.59 0.54 0.63 0.80 0.99 1.14 1.25 1.34 1.43 1.52 1.58 1.58 1.48 1.28 1.01 0.74 0.54 0.47 0.53 0.68 0.83 0.90 0.88 0.80 0.75 0.81 1.01 1.30 1.57 1.75 1.79 1.74 1.69 1.73 1.86 2.06 2.23 2.29 2.22 2.04 1.82 1.62 1.46 1.33 1.20 1.00 0.71 0.36 0.02 0.00 0.00 0.00 0.00 25.0 + 27.5 0.00 0.17 0.29 0.34 0.39 0.51 0.74 1.03 1.27 1.36 1.25 1.02 0.79 0.69 0.76 0.94 1.10 1.15 1.06 0.87 0.69 0.61 0.65 0.78 0.93 1.06 1.16 1.22 1.28 1.33 1.37 1.37 1.32 1.18 0.98 0.76 0.57 0.47 0.49 0.61 0.79 0.93 1.01 1.02 1.05 1.16 1.41 1.76 2.13 2.41 2.53 2.50 2.42 2.36 2.39 2.49 2.58 2.58 2.45 2.19 1.86 1.56 1.33 1.19 1.09 0.94 0.72 0.41 0.08 0.00 0.00 0.00 0.00 0.17 0.29 0.34 0.39 0.51 0.74 1.03 1.27 1.36 1.25 1.02 0.79 0.69 0.76 0.94 1.10 1.15 1.06 0.87 0.69 0.61 0.65 0.78 0.93 1.06 1.16 1.22 1.28 1.33 1.37 1.37 1.32 1.18 0.98 0.76 0.57 0.47 0.49 0.61 0.79 0.93 1.01 1.02 1.05 1.16 1.41 1.76 2.13 2.41 2.53 2.50 2.42 2.36 2.39 2.49 2.58 2.58 2.45 2.19 1.86 1.56 1.33 1.19 1.09 0.94 0.72 0.41 0.08 0.00 0.00 0.00 0.00 27.5 + 30.0 0.17 0.39 0.53 0.57 0.57 0.64 0.82 1.09 1.34 1.45 1.37 1.15 0.91 0.78 0.81 0.96 1.11 1.17 1.09 0.91 0.72 0.60 0.58 0.64 0.75 0.84 0.90 0.93 0.95 0.97 0.99 1.01 1.01 0.97 0.88 0.75 0.61 0.51 0.51 0.62 0.82 1.04 1.22 1.35 1.47 1.66 1.99 2.44 2.93 3.35 3.58 3.61 3.50 3.34 3.22 3.17 3.13 3.03 2.79 2.43 2.00 1.60 1.31 1.15 1.07 0.97 0.79 0.51 0.19 0.00 0.00 0.00 0.17 0.39 0.53 0.57 0.57 0.64 0.82 1.09 1.34 1.45 1.37 1.15 0.91 0.78 0.81 0.96 1.11 1.17 1.09 0.91 0.72 0.60 0.58 0.64 0.75 0.84 0.90 0.93 0.95 0.97 0.99 1.01 1.01 0.97 0.88 0.75 0.61 0.51 0.51 0.62 0.82 1.04 1.22 1.35 1.47 1.66 1.99 2.44 2.93 3.35 3.58 3.61 3.50 3.34 3.22 3.17 3.13 3.03 2.79 2.43 2.00 1.60 1.31 1.15 1.07 0.97 0.79 0.51 0.19 0.00 0.00 0.00 0.17 30.0 + 32.5 0.39 0.63 0.76 0.77 0.72 0.71 0.83 1.05 1.28 1.40 1.34 1.12 0.87 0.72 0.72 0.84 1.00 1.07 1.02 0.85 0.65 0.50 0.43 0.43 0.48 0.53 0.56 0.57 0.57 0.57 0.58 0.62 0.69 0.76 0.80 0.79 0.72 0.65 0.64 0.74 0.95 1.23 1.50 1.72 1.93 2.19 2.58 3.12 3.74 4.31 4.68 4.78 4.66 4.40 4.14 3.92 3.73 3.50 3.17 2.72 2.21 1.74 1.40 1.22 1.15 1.09 0.94 0.68 0.36 0.12 0.04 0.15 0.39 0.63 0.76 0.77 0.72 0.71 0.83 1.05 1.28 1.40 1.34 1.12 0.87 0.72 0.72 0.84 1.00 1.07 1.02 0.85 0.65 0.50 0.43 0.43 0.48 0.53 0.56 0.57 0.57 0.57 0.58 0.62 0.69 0.76 0.80 0.79 0.72 0.65 0.64 0.74 0.95 1.23 1.50 1.72 1.93 2.19 2.58 3.12 3.74 4.31 4.68 4.78 4.66 4.40 4.14 3.92 3.73 3.50 3.17 2.72 2.21 1.74 1.40 1.22 1.15 1.09 0.94 0.68 0.36 0.12 0.04 0.15 0.39 32.5 + 35.0 0.58 0.81 0.94 0.91 0.80 0.73 0.78 0.96 1.17 1.29 1.23 1.03 0.76 0.58 0.55 0.65 0.81 0.90 0.88 0.74 0.54 0.37 0.25 0.21 0.22 0.25 0.28 0.29 0.29 0.28 0.31 0.38 0.51 0.68 0.83 0.92 0.92 0.87 0.85 0.92 1.13 1.42 1.74 2.02 2.27 2.55 2.97 3.56 4.27 4.95 5.44 5.62 5.51 5.19 4.81 4.46 4.15 3.84 3.45 2.96 2.41 1.92 1.57 1.39 1.34 1.31 1.18 0.92 0.60 0.34 0.24 0.34 0.58 0.81 0.94 0.91 0.80 0.73 0.78 0.96 1.17 1.29 1.23 1.03 0.76 0.58 0.55 0.65 0.81 0.90 0.88 0.74 0.54 0.37 0.25 0.21 0.22 0.25 0.28 0.29 0.29 0.28 0.31 0.38 0.51 0.68 0.83 0.92 0.92 0.87 0.85 0.92 1.13 1.42 1.74 2.02 2.27 2.55 2.97 3.56 4.27 4.95 5.44 5.62 5.51 5.19 4.81 4.46 4.15 3.84 3.45 2.96 2.41 1.92 1.57 1.39 1.34 1.31 1.18 0.92 0.60 0.34 0.24 0.34 0.58 35.0 + 37.5 0.72 0.93 1.03 0.98 0.84 0.73 0.74 0.89 1.09 1.22 1.17 0.96 0.68 0.47 0.40 0.48 0.63 0.74 0.75 0.64 0.45 0.27 0.14 0.08 0.09 0.13 0.18 0.21 0.23 0.24 0.28 0.37 0.54 0.76 0.97 1.11 1.15 1.11 1.06 1.09 1.26 1.54 1.86 2.14 2.37 2.62 3.00 3.56 4.28 5.01 5.57 5.82 5.74 5.41 4.97 4.56 4.20 3.87 3.49 3.02 2.51 2.05 1.73 1.60 1.58 1.58 1.47 1.22 0.89 0.59 0.46 0.52 0.72 0.93 1.03 0.98 0.84 0.73 0.74 0.89 1.09 1.22 1.17 0.96 0.68 0.47 0.40 0.48 0.63 0.74 0.75 0.64 0.45 0.27 0.14 0.08 0.09 0.13 0.18 0.21 0.23 0.24 0.28 0.37 0.54 0.76 0.97 1.11 1.15 1.11 1.06 1.09 1.26 1.54 1.86 2.14 2.37 2.62 3.00 3.56 4.28 5.01 5.57 5.82 5.74 5.41 4.97 4.56 4.20 3.87 3.49 3.02 2.51 2.05 1.73 1.60 1.58 1.58 1.47 1.22 0.89 0.59 0.46 0.52 0.72 37.5 + 40.0 0.83 1.00 1.08 1.02 0.88 0.77 0.78 0.93 1.14 1.27 1.24 1.02 0.71 0.45 0.34 0.38 0.53 0.66 0.69 0.61 0.44 0.26 0.13 0.09 0.13 0.20 0.29 0.36 0.40 0.42 0.46 0.55 0.72 0.93 1.14 1.28 1.31 1.24 1.16 1.15 1.27 1.51 1.78 2.01 2.18 2.34 2.62 3.09 3.74 4.45 5.03 5.31 5.26 4.96 4.53 4.13 3.81 3.53 3.22 2.85 2.43 2.05 1.81 1.74 1.78 1.83 1.76 1.54 1.20 0.87 0.68 0.68 0.83 1.00 1.08 1.02 0.88 0.77 0.78 0.93 1.14 1.27 1.24 1.02 0.71 0.45 0.34 0.38 0.53 0.66 0.69 0.61 0.44 0.26 0.13 0.09 0.13 0.20 0.29 0.36 0.40 0.42 0.46 0.55 0.72 0.93 1.14 1.28 1.31 1.24 1.16 1.15 1.27 1.51 1.78 2.01 2.18 2.34 2.62 3.09 3.74 4.45 5.03 5.31 5.26 4.96 4.53 4.13 3.81 3.53 3.22 2.85 2.43 2.05 1.81 1.74 1.78 1.83 1.76 1.54 1.20 0.87 0.68 0.68 0.83 40.0 + 42.5 0.95 1.08 1.15 1.11 0.99 0.90 0.93 1.10 1.33 1.48 1.45 1.22 0.88 0.57 0.40 0.41 0.54 0.69 0.74 0.67 0.52 0.36 0.25 0.24 0.32 0.43 0.55 0.64 0.68 0.70 0.72 0.79 0.92 1.08 1.24 1.32 1.30 1.19 1.08 1.04 1.12 1.31 1.53 1.68 1.75 1.80 1.95 2.29 2.82 3.44 3.97 4.26 4.24 3.98 3.62 3.28 3.04 2.87 2.69 2.44 2.14 1.87 1.72 1.72 1.83 1.95 1.95 1.78 1.47 1.13 0.91 0.85 0.95 1.08 1.15 1.11 0.99 0.90 0.93 1.10 1.33 1.48 1.45 1.22 0.88 0.57 0.40 0.41 0.54 0.69 0.74 0.67 0.52 0.36 0.25 0.24 0.32 0.43 0.55 0.64 0.68 0.70 0.72 0.79 0.92 1.08 1.24 1.32 1.30 1.19 1.08 1.04 1.12 1.31 1.53 1.68 1.75 1.80 1.95 2.29 2.82 3.44 3.97 4.26 4.24 3.98 3.62 3.28 3.04 2.87 2.69 2.44 2.14 1.87 1.72 1.72 1.83 1.95 1.95 1.78 1.47 1.13 0.91 0.85 0.95 42.5 + 45.0 1.10 1.23 1.30 1.29 1.22 1.18 1.24 1.44 1.68 1.84 1.82 1.57 1.19 0.83 0.60 0.57 0.67 0.81 0.87 0.81 0.67 0.53 0.45 0.47 0.58 0.71 0.83 0.90 0.91 0.90 0.90 0.93 1.00 1.09 1.16 1.17 1.09 0.96 0.84 0.80 0.87 1.02 1.18 1.26 1.24 1.18 1.20 1.40 1.80 2.30 2.75 3.00 2.99 2.78 2.48 2.24 2.10 2.05 2.00 1.88 1.70 1.52 1.44 1.51 1.69 1.88 1.97 1.88 1.63 1.34 1.11 1.04 1.10 1.23 1.30 1.29 1.22 1.18 1.24 1.44 1.68 1.84 1.82 1.57 1.19 0.83 0.60 0.57 0.67 0.81 0.87 0.81 0.67 0.53 0.45 0.47 0.58 0.71 0.83 0.90 0.91 0.90 0.90 0.93 1.00 1.09 1.16 1.17 1.09 0.96 0.84 0.80 0.87 1.02 1.18 1.26 1.24 1.18 1.20 1.40 1.80 2.30 2.75 3.00 2.99 2.78 2.48 2.24 2.10 2.05 2.00 1.88 1.70 1.52 1.44 1.51 1.69 1.88 1.97 1.88 1.63 1.34 1.11 1.04 1.10 45.0 + 47.5 1.29 1.43 1.55 1.59 1.58 1.59 1.69 1.90 2.16 2.32 2.29 2.04 1.63 1.21 0.92 0.83 0.89 0.99 1.03 0.97 0.83 0.70 0.65 0.70 0.81 0.94 1.02 1.03 0.98 0.92 0.88 0.87 0.90 0.93 0.93 0.87 0.76 0.63 0.54 0.53 0.61 0.75 0.86 0.89 0.80 0.67 0.59 0.68 0.94 1.33 1.68 1.87 1.85 1.67 1.43 1.26 1.21 1.26 1.31 1.29 1.20 1.08 1.04 1.14 1.36 1.61 1.78 1.79 1.65 1.43 1.26 1.21 1.29 1.43 1.55 1.59 1.58 1.59 1.69 1.90 2.16 2.32 2.29 2.04 1.63 1.21 0.92 0.83 0.89 0.99 1.03 0.97 0.83 0.70 0.65 0.70 0.81 0.94 1.02 1.03 0.98 0.92 0.88 0.87 0.90 0.93 0.93 0.87 0.76 0.63 0.54 0.53 0.61 0.75 0.86 0.89 0.80 0.67 0.59 0.68 0.94 1.33 1.68 1.87 1.85 1.67 1.43 1.26 1.21 1.26 1.31 1.29 1.20 1.08 1.04 1.14 1.36 1.61 1.78 1.79 1.65 1.43 1.26 1.21 1.29 47.5 + 50.0 1.43 1.63 1.82 1.94 2.01 2.08 2.22 2.45 2.70 2.88 2.85 2.60 2.18 1.72 1.37 1.20 1.18 1.21 1.20 1.11 0.96 0.84 0.80 0.85 0.97 1.06 1.07 1.00 0.88 0.76 0.68 0.65 0.66 0.66 0.62 0.54 0.43 0.33 0.29 0.33 0.45 0.58 0.67 0.66 0.54 0.37 0.24 0.25 0.42 0.69 0.95 1.08 1.04 0.86 0.65 0.53 0.53 0.64 0.76 0.80 0.75 0.66 0.62 0.70 0.92 1.19 1.43 1.53 1.50 1.38 1.29 1.30 1.43 1.63 1.82 1.94 2.01 2.08 2.22 2.45 2.70 2.88 2.85 2.60 2.18 1.72 1.37 1.20 1.18 1.21 1.20 1.11 0.96 0.84 0.80 0.85 0.97 1.06 1.07 1.00 0.88 0.76 0.68 0.65 0.66 0.66 0.62 0.54 0.43 0.33 0.29 0.33 0.45 0.58 0.67 0.66 0.54 0.37 0.24 0.25 0.42 0.69 0.95 1.08 1.04 0.86 0.65 0.53 0.53 0.64 0.76 0.80 0.75 0.66 0.62 0.70 0.92 1.19 1.43 1.53 1.50 1.38 1.29 1.30 1.43 50.0 + 52.5 1.45 1.73 2.01 2.24 2.40 2.54 2.73 2.98 3.25 3.44 3.44 3.22 2.81 2.34 1.93 1.68 1.55 1.48 1.39 1.24 1.06 0.92 0.88 0.94 1.03 1.08 1.03 0.88 0.69 0.53 0.43 0.39 0.40 0.39 0.35 0.28 0.21 0.16 0.18 0.27 0.40 0.53 0.61 0.59 0.46 0.29 0.15 0.11 0.21 0.39 0.57 0.65 0.58 0.40 0.21 0.09 0.12 0.24 0.39 0.47 0.44 0.34 0.27 0.30 0.47 0.72 0.98 1.14 1.19 1.17 1.17 1.25 1.45 1.73 2.01 2.24 2.40 2.54 2.73 2.98 3.25 3.44 3.44 3.22 2.81 2.34 1.93 1.68 1.55 1.48 1.39 1.24 1.06 0.92 0.88 0.94 1.03 1.08 1.03 0.88 0.69 0.53 0.43 0.39 0.40 0.39 0.35 0.28 0.21 0.16 0.18 0.27 0.40 0.53 0.61 0.59 0.46 0.29 0.15 0.11 0.21 0.39 0.57 0.65 0.58 0.40 0.21 0.09 0.12 0.24 0.39 0.47 0.44 0.34 0.27 0.30 0.47 0.72 0.98 1.14 1.19 1.17 1.17 1.25 1.45 52.5 + 55.0 1.31 1.66 2.03 2.36 2.63 2.86 3.11 3.40 3.70 3.92 3.97 3.81 3.46 3.01 2.58 2.25 2.01 1.83 1.63 1.40 1.17 1.01 0.96 1.00 1.06 1.07 0.98 0.78 0.55 0.36 0.25 0.22 0.23 0.24 0.22 0.18 0.14 0.14 0.19 0.30 0.43 0.54 0.61 0.59 0.48 0.33 0.19 0.13 0.17 0.29 0.42 0.47 0.39 0.22 0.03 0.00 0.00 0.04 0.18 0.27 0.25 0.14 0.03 0.00 0.09 0.29 0.52 0.70 0.79 0.83 0.89 1.04 1.31 1.66 2.03 2.36 2.63 2.86 3.11 3.40 3.70 3.92 3.97 3.81 3.46 3.01 2.58 2.25 2.01 1.83 1.63 1.40 1.17 1.01 0.96 1.00 1.06 1.07 0.98 0.78 0.55 0.36 0.25 0.22 0.23 0.24 0.22 0.18 0.14 0.14 0.19 0.30 0.43 0.54 0.61 0.59 0.48 0.33 0.19 0.13 0.17 0.29 0.42 0.47 0.39 0.22 0.03 0.00 0.00 0.04 0.18 0.27 0.25 0.14 0.03 0.00 0.09 0.29 0.52 0.70 0.79 0.83 0.89 1.04 1.31 55.0 + 57.5 1.00 1.41 1.86 2.28 2.64 2.96 3.27 3.60 3.94 4.21 4.34 4.27 4.01 3.64 3.23 2.86 2.54 2.25 1.95 1.65 1.37 1.17 1.08 1.09 1.12 1.10 0.99 0.78 0.55 0.36 0.25 0.22 0.23 0.25 0.24 0.22 0.20 0.22 0.27 0.35 0.44 0.52 0.56 0.55 0.48 0.36 0.23 0.14 0.14 0.22 0.32 0.37 0.32 0.17 0.00 0.00 0.00 0.00 0.06 0.16 0.14 0.03 0.00 0.00 0.00 0.00 0.12 0.27 0.37 0.43 0.51 0.70 1.00 1.41 1.86 2.28 2.64 2.96 3.27 3.60 3.94 4.21 4.34 4.27 4.01 3.64 3.23 2.86 2.54 2.25 1.95 1.65 1.37 1.17 1.08 1.09 1.12 1.10 0.99 0.78 0.55 0.36 0.25 0.22 0.23 0.25 0.24 0.22 0.20 0.22 0.27 0.35 0.44 0.52 0.56 0.55 0.48 0.36 0.23 0.14 0.14 0.22 0.32 0.37 0.32 0.17 0.00 0.00 0.00 0.00 0.06 0.16 0.14 0.03 0.00 0.00 0.00 0.00 0.12 0.27 0.37 0.43 0.51 0.70 1.00 57.5 + 60.0 0.64 1.07 1.55 2.02 2.45 2.82 3.18 3.54 3.91 4.22 4.43 4.47 4.35 4.10 3.77 3.42 3.07 2.73 2.36 2.00 1.67 1.43 1.29 1.25 1.24 1.19 1.08 0.89 0.69 0.52 0.42 0.38 0.38 0.37 0.36 0.34 0.32 0.32 0.32 0.34 0.37 0.40 0.42 0.42 0.38 0.29 0.17 0.07 0.03 0.08 0.18 0.26 0.25 0.15 0.00 0.00 0.00 0.00 0.00 0.05 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.14 0.33 0.64 1.07 1.55 2.02 2.45 2.82 3.18 3.54 3.91 4.22 4.43 4.47 4.35 4.10 3.77 3.42 3.07 2.73 2.36 2.00 1.67 1.43 1.29 1.25 1.24 1.19 1.08 0.89 0.69 0.52 0.42 0.38 0.38 0.37 0.36 0.34 0.32 0.32 0.32 0.34 0.37 0.40 0.42 0.42 0.38 0.29 0.17 0.07 0.03 0.08 0.18 0.26 0.25 0.15 0.00 0.00 0.00 0.00 0.00 0.05 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.14 0.33 0.64 60.0 + 62.5 0.36 0.77 1.24 1.71 2.14 2.52 2.88 3.24 3.60 3.94 4.21 4.36 4.38 4.28 4.08 3.82 3.52 3.17 2.80 2.42 2.06 1.77 1.58 1.47 1.40 1.33 1.22 1.07 0.91 0.78 0.69 0.63 0.60 0.56 0.51 0.46 0.41 0.37 0.32 0.28 0.23 0.21 0.21 0.22 0.20 0.13 0.01 0.00 0.00 0.00 0.00 0.10 0.16 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.36 0.77 1.24 1.71 2.14 2.52 2.88 3.24 3.60 3.94 4.21 4.36 4.38 4.28 4.08 3.82 3.52 3.17 2.80 2.42 2.06 1.77 1.58 1.47 1.40 1.33 1.22 1.07 0.91 0.78 0.69 0.63 0.60 0.56 0.51 0.46 0.41 0.37 0.32 0.28 0.23 0.21 0.21 0.22 0.20 0.13 0.01 0.00 0.00 0.00 0.00 0.10 0.16 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.36 62.5 + 65.0 0.28 0.64 1.06 1.47 1.84 2.17 2.48 2.78 3.10 3.42 3.71 3.94 4.10 4.15 4.11 3.98 3.77 3.50 3.18 2.82 2.47 2.15 1.90 1.72 1.59 1.48 1.37 1.26 1.15 1.05 0.98 0.91 0.83 0.73 0.63 0.53 0.44 0.36 0.27 0.18 0.09 0.03 0.02 0.02 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.28 0.64 1.06 1.47 1.84 2.17 2.48 2.78 3.10 3.42 3.71 3.94 4.10 4.15 4.11 3.98 3.77 3.50 3.18 2.82 2.47 2.15 1.90 1.72 1.59 1.48 1.37 1.26 1.15 1.05 0.98 0.91 0.83 0.73 0.63 0.53 0.44 0.36 0.27 0.18 0.09 0.03 0.02 0.02 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.28 65.0 + 67.5 0.43 0.75 1.08 1.39 1.65 1.88 2.08 2.29 2.52 2.78 3.06 3.33 3.57 3.75 3.86 3.87 3.80 3.64 3.41 3.12 2.80 2.48 2.19 1.95 1.77 1.62 1.51 1.42 1.36 1.30 1.24 1.15 1.02 0.87 0.70 0.54 0.42 0.31 0.21 0.10 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.12 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.16 0.43 0.75 1.08 1.39 1.65 1.88 2.08 2.29 2.52 2.78 3.06 3.33 3.57 3.75 3.86 3.87 3.80 3.64 3.41 3.12 2.80 2.48 2.19 1.95 1.77 1.62 1.51 1.42 1.36 1.30 1.24 1.15 1.02 0.87 0.70 0.54 0.42 0.31 0.21 0.10 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.12 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.16 0.43 67.5 + 70.0 0.76 1.04 1.28 1.47 1.60 1.69 1.76 1.85 1.98 2.16 2.40 2.66 2.94 3.20 3.41 3.54 3.59 3.55 3.43 3.24 2.99 2.70 2.41 2.14 1.92 1.76 1.65 1.59 1.55 1.53 1.47 1.37 1.20 0.98 0.74 0.53 0.36 0.24 0.15 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.22 0.25 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.14 0.29 0.50 0.76 1.04 1.28 1.47 1.60 1.69 1.76 1.85 1.98 2.16 2.40 2.66 2.94 3.20 3.41 3.54 3.59 3.55 3.43 3.24 2.99 2.70 2.41 2.14 1.92 1.76 1.65 1.59 1.55 1.53 1.47 1.37 1.20 0.98 0.74 0.53 0.36 0.24 0.15 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.22 0.25 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.14 0.29 0.50 0.76 70.0 + 72.5 1.16 1.40 1.57 1.65 1.65 1.61 1.55 1.53 1.56 1.67 1.85 2.08 2.35 2.62 2.86 3.05 3.19 3.25 3.25 3.16 3.00 2.78 2.52 2.26 2.05 1.89 1.81 1.77 1.77 1.76 1.71 1.58 1.37 1.10 0.80 0.53 0.33 0.20 0.12 0.07 0.04 0.03 0.03 0.06 0.08 0.06 0.01 0.00 0.00 0.00 0.14 0.32 0.45 0.45 0.34 0.15 0.00 0.00 0.00 0.00 0.09 0.13 0.13 0.12 0.13 0.16 0.21 0.28 0.36 0.49 0.67 0.90 1.16 1.40 1.57 1.65 1.65 1.61 1.55 1.53 1.56 1.67 1.85 2.08 2.35 2.62 2.86 3.05 3.19 3.25 3.25 3.16 3.00 2.78 2.52 2.26 2.05 1.89 1.81 1.77 1.77 1.76 1.71 1.58 1.37 1.10 0.80 0.53 0.33 0.20 0.12 0.07 0.04 0.03 0.03 0.06 0.08 0.06 0.01 0.00 0.00 0.00 0.14 0.32 0.45 0.45 0.34 0.15 0.00 0.00 0.00 0.00 0.09 0.13 0.13 0.12 0.13 0.16 0.21 0.28 0.36 0.49 0.67 0.90 1.16 72.5 + 75.0 1.49 1.70 1.81 1.81 1.71 1.56 1.40 1.29 1.26 1.31 1.45 1.65 1.87 2.10 2.30 2.48 2.64 2.78 2.87 2.89 2.83 2.69 2.49 2.29 2.12 2.01 1.98 1.99 2.02 2.02 1.95 1.81 1.57 1.27 0.93 0.63 0.38 0.22 0.12 0.07 0.05 0.05 0.08 0.13 0.17 0.18 0.17 0.15 0.18 0.27 0.43 0.59 0.69 0.66 0.52 0.32 0.17 0.11 0.16 0.26 0.35 0.39 0.38 0.36 0.36 0.40 0.47 0.56 0.66 0.81 1.00 1.24 1.49 1.70 1.81 1.81 1.71 1.56 1.40 1.29 1.26 1.31 1.45 1.65 1.87 2.10 2.30 2.48 2.64 2.78 2.87 2.89 2.83 2.69 2.49 2.29 2.12 2.01 1.98 1.99 2.02 2.02 1.95 1.81 1.57 1.27 0.93 0.63 0.38 0.22 0.12 0.07 0.05 0.05 0.08 0.13 0.17 0.18 0.17 0.15 0.18 0.27 0.43 0.59 0.69 0.66 0.52 0.32 0.17 0.11 0.16 0.26 0.35 0.39 0.38 0.36 0.36 0.40 0.47 0.56 0.66 0.81 1.00 1.24 1.49 75.0 + 77.5 1.65 1.83 1.91 1.86 1.70 1.47 1.24 1.08 1.01 1.05 1.18 1.34 1.51 1.65 1.77 1.88 2.01 2.17 2.33 2.46 2.50 2.44 2.31 2.17 2.07 2.05 2.09 2.17 2.23 2.23 2.16 2.00 1.77 1.48 1.15 0.84 0.56 0.34 0.17 0.06 0.00 0.00 0.02 0.09 0.16 0.20 0.23 0.25 0.32 0.44 0.61 0.77 0.84 0.77 0.60 0.41 0.28 0.26 0.36 0.49 0.59 0.61 0.57 0.51 0.50 0.55 0.64 0.76 0.88 1.03 1.21 1.43 1.65 1.83 1.91 1.86 1.70 1.47 1.24 1.08 1.01 1.05 1.18 1.34 1.51 1.65 1.77 1.88 2.01 2.17 2.33 2.46 2.50 2.44 2.31 2.17 2.07 2.05 2.09 2.17 2.23 2.23 2.16 2.00 1.77 1.48 1.15 0.84 0.56 0.34 0.17 0.06 0.00 0.00 0.02 0.09 0.16 0.20 0.23 0.25 0.32 0.44 0.61 0.77 0.84 0.77 0.60 0.41 0.28 0.26 0.36 0.49 0.59 0.61 0.57 0.51 0.50 0.55 0.64 0.76 0.88 1.03 1.21 1.43 1.65 77.5 + 80.0 1.62 1.77 1.83 1.76 1.57 1.30 1.03 0.84 0.76 0.82 0.96 1.12 1.23 1.27 1.26 1.26 1.33 1.49 1.70 1.90 2.02 2.03 1.96 1.88 1.86 1.93 2.07 2.21 2.30 2.31 2.24 2.09 1.91 1.68 1.44 1.17 0.88 0.59 0.31 0.08 0.00 0.00 0.00 0.00 0.04 0.10 0.15 0.19 0.28 0.43 0.62 0.78 0.83 0.73 0.54 0.34 0.24 0.28 0.44 0.62 0.72 0.72 0.63 0.53 0.50 0.55 0.68 0.83 0.98 1.12 1.27 1.44 1.62 1.77 1.83 1.76 1.57 1.30 1.03 0.84 0.76 0.82 0.96 1.12 1.23 1.27 1.26 1.26 1.33 1.49 1.70 1.90 2.02 2.03 1.96 1.88 1.86 1.93 2.07 2.21 2.30 2.31 2.24 2.09 1.91 1.68 1.44 1.17 0.88 0.59 0.31 0.08 0.00 0.00 0.00 0.00 0.04 0.10 0.15 0.19 0.28 0.43 0.62 0.78 0.83 0.73 0.54 0.34 0.24 0.28 0.44 0.62 0.72 0.72 0.63 0.53 0.50 0.55 0.68 0.83 0.98 1.12 1.27 1.44 1.62 80.0 + 82.5 1.45 1.56 1.61 1.54 1.35 1.06 0.77 0.55 0.48 0.56 0.74 0.91 0.98 0.93 0.80 0.68 0.66 0.80 1.04 1.29 1.47 1.51 1.47 1.43 1.46 1.61 1.82 2.02 2.15 2.17 2.10 2.00 1.90 1.82 1.71 1.55 1.30 0.96 0.57 0.20 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.09 0.26 0.46 0.63 0.66 0.54 0.32 0.12 0.05 0.15 0.37 0.61 0.73 0.70 0.56 0.41 0.35 0.42 0.59 0.79 0.96 1.10 1.21 1.32 1.45 1.56 1.61 1.54 1.35 1.06 0.77 0.55 0.48 0.56 0.74 0.91 0.98 0.93 0.80 0.68 0.66 0.80 1.04 1.29 1.47 1.51 1.47 1.43 1.46 1.61 1.82 2.02 2.15 2.17 2.10 2.00 1.90 1.82 1.71 1.55 1.30 0.96 0.57 0.20 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.09 0.26 0.46 0.63 0.66 0.54 0.32 0.12 0.05 0.15 0.37 0.61 0.73 0.70 0.56 0.41 0.35 0.42 0.59 0.79 0.96 1.10 1.21 1.32 1.45 82.5 + 85.0 1.22 1.30 1.34 1.28 1.10 0.81 0.50 0.27 0.20 0.30 0.51 0.70 0.76 0.64 0.40 0.17 0.08 0.18 0.44 0.72 0.92 0.98 0.93 0.88 0.93 1.11 1.36 1.60 1.74 1.76 1.71 1.67 1.70 1.80 1.89 1.89 1.73 1.40 0.93 0.45 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.24 0.40 0.43 0.29 0.05 0.00 0.00 0.00 0.22 0.50 0.64 0.59 0.41 0.22 0.14 0.22 0.43 0.68 0.88 1.02 1.09 1.14 1.22 1.30 1.34 1.28 1.10 0.81 0.50 0.27 0.20 0.30 0.51 0.70 0.76 0.64 0.40 0.17 0.08 0.18 0.44 0.72 0.92 0.98 0.93 0.88 0.93 1.11 1.36 1.60 1.74 1.76 1.71 1.67 1.70 1.80 1.89 1.89 1.73 1.40 0.93 0.45 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.24 0.40 0.43 0.29 0.05 0.00 0.00 0.00 0.22 0.50 0.64 0.59 0.41 0.22 0.14 0.22 0.43 0.68 0.88 1.02 1.09 1.14 1.22 85.0 + 87.5 1.03 1.08 1.11 1.07 0.90 0.62 0.29 0.05 0.00 0.09 0.33 0.54 0.59 0.43 0.13 0.00 0.00 0.00 0.00 0.29 0.49 0.53 0.45 0.37 0.39 0.55 0.80 1.02 1.15 1.17 1.14 1.17 1.32 1.59 1.89 2.08 2.07 1.80 1.34 0.82 0.37 0.11 0.02 0.05 0.09 0.06 0.00 0.00 0.00 0.00 0.10 0.25 0.26 0.10 0.00 0.00 0.00 0.00 0.06 0.38 0.54 0.49 0.28 0.05 0.00 0.03 0.27 0.57 0.81 0.95 1.00 1.01 1.03 1.08 1.11 1.07 0.90 0.62 0.29 0.05 0.00 0.09 0.33 0.54 0.59 0.43 0.13 0.00 0.00 0.00 0.00 0.29 0.49 0.53 0.45 0.37 0.39 0.55 0.80 1.02 1.15 1.17 1.14 1.17 1.32 1.59 1.89 2.08 2.07 1.80 1.34 0.82 0.37 0.11 0.02 0.05 0.09 0.06 0.00 0.00 0.00 0.00 0.10 0.25 0.26 0.10 0.00 0.00 0.00 0.00 0.06 0.38 0.54 0.49 0.28 0.05 0.00 0.03 0.27 0.57 0.81 0.95 1.00 1.01 1.03 87.5 + 90.0 0.96 0.97 0.99 0.95 0.80 0.53 0.22 0.00 0.00 0.00 0.24 0.46 0.51 0.34 0.01 0.00 0.00 0.00 0.00 0.08 0.26 0.27 0.15 0.02 0.00 0.09 0.28 0.46 0.55 0.54 0.52 0.59 0.84 1.24 1.69 2.05 2.19 2.05 1.69 1.24 0.84 0.59 0.52 0.54 0.55 0.46 0.28 0.09 0.00 0.02 0.15 0.27 0.26 0.08 0.00 0.00 0.00 0.00 0.01 0.34 0.51 0.46 0.24 0.00 0.00 0.00 0.22 0.53 0.80 0.95 0.99 0.97 0.96 0.97 0.99 0.95 0.80 0.53 0.22 0.00 0.00 0.00 0.24 0.46 0.51 0.34 0.01 0.00 0.00 0.00 0.00 0.08 0.26 0.27 0.15 0.02 0.00 0.09 0.28 0.46 0.55 0.54 0.52 0.59 0.84 1.24 1.69 2.05 2.19 2.05 1.69 1.24 0.84 0.59 0.52 0.54 0.55 0.46 0.28 0.09 0.00 0.02 0.15 0.27 0.26 0.08 0.00 0.00 0.00 0.00 0.01 0.34 0.51 0.46 0.24 0.00 0.00 0.00 0.22 0.53 0.80 0.95 0.99 0.97 0.96 90.0 + + 22.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.52 ) PHI2 = 23. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.0 + 2.5 0.49 0.39 0.35 0.36 0.35 0.26 0.08 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.38 0.41 0.40 0.42 0.50 0.65 0.84 1.05 1.28 1.51 1.76 1.99 2.16 2.24 2.19 2.04 1.82 1.58 1.35 1.12 0.91 0.71 0.55 0.45 0.41 0.41 0.37 0.25 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.23 0.33 0.36 0.37 0.42 0.54 0.71 0.92 1.14 1.37 1.61 1.86 2.09 2.25 2.30 2.22 2.03 1.79 1.53 1.29 1.07 0.85 0.65 0.49 0.39 0.35 0.36 0.35 0.26 0.08 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.38 0.41 0.40 0.42 0.50 0.65 0.84 1.05 1.28 1.51 1.76 1.99 2.16 2.24 2.19 2.04 1.82 1.58 1.35 1.12 0.91 0.71 0.55 0.45 0.41 0.41 0.37 0.25 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.23 0.33 0.36 0.37 0.42 0.54 0.71 0.92 1.14 1.37 1.61 1.86 2.09 2.25 2.30 2.22 2.03 1.79 1.53 1.29 1.07 0.85 0.65 0.49 2.5 + 5.0 0.36 0.28 0.27 0.32 0.36 0.34 0.23 0.06 0.00 0.00 0.00 0.03 0.24 0.41 0.49 0.48 0.43 0.39 0.41 0.51 0.68 0.89 1.13 1.38 1.65 1.91 2.11 2.22 2.21 2.09 1.88 1.64 1.38 1.13 0.90 0.71 0.57 0.51 0.49 0.50 0.46 0.33 0.13 0.00 0.00 0.00 0.00 0.00 0.15 0.29 0.36 0.37 0.38 0.45 0.58 0.76 0.98 1.22 1.47 1.74 2.02 2.27 2.43 2.45 2.32 2.07 1.76 1.45 1.17 0.92 0.70 0.51 0.36 0.28 0.27 0.32 0.36 0.34 0.23 0.06 0.00 0.00 0.00 0.03 0.24 0.41 0.49 0.48 0.43 0.39 0.41 0.51 0.68 0.89 1.13 1.38 1.65 1.91 2.11 2.22 2.21 2.09 1.88 1.64 1.38 1.13 0.90 0.71 0.57 0.51 0.49 0.50 0.46 0.33 0.13 0.00 0.00 0.00 0.00 0.00 0.15 0.29 0.36 0.37 0.38 0.45 0.58 0.76 0.98 1.22 1.47 1.74 2.02 2.27 2.43 2.45 2.32 2.07 1.76 1.45 1.17 0.92 0.70 0.51 0.36 5.0 + 7.5 0.21 0.15 0.18 0.26 0.36 0.42 0.40 0.29 0.16 0.08 0.09 0.21 0.39 0.54 0.61 0.57 0.47 0.36 0.30 0.34 0.48 0.68 0.93 1.21 1.49 1.76 1.99 2.13 2.16 2.09 1.91 1.66 1.37 1.10 0.86 0.69 0.59 0.58 0.61 0.63 0.60 0.47 0.28 0.09 0.00 0.00 0.07 0.24 0.39 0.48 0.50 0.49 0.51 0.58 0.73 0.91 1.13 1.36 1.63 1.93 2.23 2.48 2.62 2.59 2.39 2.06 1.68 1.31 0.99 0.73 0.51 0.34 0.21 0.15 0.18 0.26 0.36 0.42 0.40 0.29 0.16 0.08 0.09 0.21 0.39 0.54 0.61 0.57 0.47 0.36 0.30 0.34 0.48 0.68 0.93 1.21 1.49 1.76 1.99 2.13 2.16 2.09 1.91 1.66 1.37 1.10 0.86 0.69 0.59 0.58 0.61 0.63 0.60 0.47 0.28 0.09 0.00 0.00 0.07 0.24 0.39 0.48 0.50 0.49 0.51 0.58 0.73 0.91 1.13 1.36 1.63 1.93 2.23 2.48 2.62 2.59 2.39 2.06 1.68 1.31 0.99 0.73 0.51 0.34 0.21 7.5 + 10.0 0.11 0.07 0.10 0.21 0.34 0.46 0.50 0.45 0.35 0.24 0.21 0.28 0.43 0.58 0.66 0.63 0.51 0.35 0.24 0.22 0.32 0.51 0.76 1.03 1.30 1.56 1.78 1.95 2.03 1.99 1.85 1.61 1.31 1.02 0.78 0.64 0.61 0.66 0.75 0.80 0.77 0.64 0.47 0.32 0.26 0.32 0.47 0.64 0.76 0.81 0.79 0.77 0.79 0.88 1.03 1.20 1.38 1.59 1.83 2.11 2.40 2.63 2.73 2.64 2.36 1.96 1.51 1.10 0.77 0.52 0.34 0.20 0.11 0.07 0.10 0.21 0.34 0.46 0.50 0.45 0.35 0.24 0.21 0.28 0.43 0.58 0.66 0.63 0.51 0.35 0.24 0.22 0.32 0.51 0.76 1.03 1.30 1.56 1.78 1.95 2.03 1.99 1.85 1.61 1.31 1.02 0.78 0.64 0.61 0.66 0.75 0.80 0.77 0.64 0.47 0.32 0.26 0.32 0.47 0.64 0.76 0.81 0.79 0.77 0.79 0.88 1.03 1.20 1.38 1.59 1.83 2.11 2.40 2.63 2.73 2.64 2.36 1.96 1.51 1.10 0.77 0.52 0.34 0.20 0.11 10.0 + 12.5 0.06 0.04 0.07 0.16 0.30 0.44 0.52 0.51 0.41 0.28 0.20 0.22 0.34 0.51 0.64 0.65 0.55 0.38 0.23 0.17 0.24 0.41 0.64 0.89 1.13 1.34 1.54 1.71 1.82 1.83 1.72 1.51 1.21 0.92 0.69 0.58 0.61 0.73 0.87 0.96 0.94 0.82 0.66 0.55 0.55 0.68 0.88 1.07 1.19 1.20 1.17 1.14 1.18 1.28 1.42 1.56 1.70 1.84 2.01 2.23 2.47 2.64 2.68 2.53 2.19 1.74 1.27 0.85 0.54 0.33 0.20 0.12 0.06 0.04 0.07 0.16 0.30 0.44 0.52 0.51 0.41 0.28 0.20 0.22 0.34 0.51 0.64 0.65 0.55 0.38 0.23 0.17 0.24 0.41 0.64 0.89 1.13 1.34 1.54 1.71 1.82 1.83 1.72 1.51 1.21 0.92 0.69 0.58 0.61 0.73 0.87 0.96 0.94 0.82 0.66 0.55 0.55 0.68 0.88 1.07 1.19 1.20 1.17 1.14 1.18 1.28 1.42 1.56 1.70 1.84 2.01 2.23 2.47 2.64 2.68 2.53 2.19 1.74 1.27 0.85 0.54 0.33 0.20 0.12 0.06 12.5 + 15.0 0.05 0.04 0.05 0.12 0.25 0.39 0.49 0.50 0.40 0.24 0.11 0.09 0.19 0.38 0.56 0.63 0.58 0.43 0.27 0.19 0.24 0.39 0.60 0.81 1.00 1.17 1.33 1.49 1.62 1.67 1.61 1.42 1.14 0.85 0.62 0.54 0.60 0.77 0.96 1.08 1.07 0.95 0.80 0.72 0.77 0.95 1.19 1.40 1.51 1.52 1.47 1.45 1.50 1.62 1.77 1.90 1.98 2.05 2.14 2.27 2.42 2.51 2.47 2.27 1.91 1.44 0.98 0.58 0.31 0.16 0.09 0.07 0.05 0.04 0.05 0.12 0.25 0.39 0.49 0.50 0.40 0.24 0.11 0.09 0.19 0.38 0.56 0.63 0.58 0.43 0.27 0.19 0.24 0.39 0.60 0.81 1.00 1.17 1.33 1.49 1.62 1.67 1.61 1.42 1.14 0.85 0.62 0.54 0.60 0.77 0.96 1.08 1.07 0.95 0.80 0.72 0.77 0.95 1.19 1.40 1.51 1.52 1.47 1.45 1.50 1.62 1.77 1.90 1.98 2.05 2.14 2.27 2.42 2.51 2.47 2.27 1.91 1.44 0.98 0.58 0.31 0.16 0.09 0.07 0.05 15.0 + 17.5 0.03 0.03 0.04 0.09 0.20 0.35 0.48 0.51 0.43 0.25 0.07 0.00 0.07 0.26 0.48 0.62 0.62 0.50 0.35 0.26 0.29 0.42 0.61 0.80 0.96 1.09 1.23 1.38 1.52 1.60 1.57 1.41 1.15 0.85 0.62 0.53 0.59 0.77 0.98 1.11 1.11 1.00 0.86 0.79 0.85 1.06 1.32 1.54 1.65 1.64 1.60 1.58 1.65 1.80 1.97 2.10 2.16 2.18 2.19 2.21 2.25 2.25 2.16 1.93 1.56 1.13 0.69 0.33 0.10 0.00 0.00 0.01 0.03 0.03 0.04 0.09 0.20 0.35 0.48 0.51 0.43 0.25 0.07 0.00 0.07 0.26 0.48 0.62 0.62 0.50 0.35 0.26 0.29 0.42 0.61 0.80 0.96 1.09 1.23 1.38 1.52 1.60 1.57 1.41 1.15 0.85 0.62 0.53 0.59 0.77 0.98 1.11 1.11 1.00 0.86 0.79 0.85 1.06 1.32 1.54 1.65 1.64 1.60 1.58 1.65 1.80 1.97 2.10 2.16 2.18 2.19 2.21 2.25 2.25 2.16 1.93 1.56 1.13 0.69 0.33 0.10 0.00 0.00 0.01 0.03 17.5 + 20.0 0.00 0.02 0.03 0.08 0.19 0.36 0.53 0.61 0.55 0.37 0.16 0.03 0.06 0.23 0.47 0.64 0.69 0.60 0.45 0.35 0.36 0.48 0.66 0.85 0.99 1.12 1.24 1.38 1.52 1.62 1.61 1.48 1.23 0.93 0.68 0.55 0.58 0.73 0.92 1.06 1.08 0.99 0.86 0.79 0.85 1.05 1.31 1.52 1.63 1.63 1.57 1.56 1.63 1.80 2.00 2.15 2.22 2.21 2.15 2.08 2.02 1.94 1.80 1.56 1.23 0.84 0.45 0.13 0.00 0.00 0.00 0.00 0.00 0.02 0.03 0.08 0.19 0.36 0.53 0.61 0.55 0.37 0.16 0.03 0.06 0.23 0.47 0.64 0.69 0.60 0.45 0.35 0.36 0.48 0.66 0.85 0.99 1.12 1.24 1.38 1.52 1.62 1.61 1.48 1.23 0.93 0.68 0.55 0.58 0.73 0.92 1.06 1.08 0.99 0.86 0.79 0.85 1.05 1.31 1.52 1.63 1.63 1.57 1.56 1.63 1.80 2.00 2.15 2.22 2.21 2.15 2.08 2.02 1.94 1.80 1.56 1.23 0.84 0.45 0.13 0.00 0.00 0.00 0.00 0.00 20.0 + 22.5 0.00 0.00 0.04 0.10 0.22 0.42 0.64 0.78 0.78 0.62 0.39 0.21 0.18 0.32 0.54 0.72 0.79 0.71 0.57 0.45 0.44 0.55 0.72 0.91 1.06 1.19 1.31 1.44 1.57 1.66 1.67 1.55 1.32 1.03 0.76 0.58 0.56 0.66 0.82 0.96 1.01 0.96 0.86 0.81 0.87 1.06 1.31 1.54 1.66 1.66 1.60 1.57 1.63 1.79 1.99 2.16 2.23 2.20 2.08 1.93 1.77 1.62 1.45 1.23 0.96 0.64 0.29 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.10 0.22 0.42 0.64 0.78 0.78 0.62 0.39 0.21 0.18 0.32 0.54 0.72 0.79 0.71 0.57 0.45 0.44 0.55 0.72 0.91 1.06 1.19 1.31 1.44 1.57 1.66 1.67 1.55 1.32 1.03 0.76 0.58 0.56 0.66 0.82 0.96 1.01 0.96 0.86 0.81 0.87 1.06 1.31 1.54 1.66 1.66 1.60 1.57 1.63 1.79 1.99 2.16 2.23 2.20 2.08 1.93 1.77 1.62 1.45 1.23 0.96 0.64 0.29 0.00 0.00 0.00 0.00 0.00 0.00 22.5 + 25.0 0.00 0.04 0.09 0.16 0.29 0.51 0.77 0.97 1.02 0.90 0.67 0.46 0.38 0.47 0.66 0.84 0.90 0.83 0.69 0.56 0.52 0.60 0.76 0.94 1.09 1.22 1.33 1.44 1.54 1.62 1.62 1.53 1.33 1.08 0.81 0.62 0.54 0.58 0.71 0.86 0.96 0.98 0.95 0.95 1.04 1.25 1.52 1.78 1.95 1.99 1.94 1.88 1.88 1.98 2.14 2.28 2.33 2.26 2.07 1.82 1.57 1.35 1.16 0.98 0.77 0.51 0.21 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.09 0.16 0.29 0.51 0.77 0.97 1.02 0.90 0.67 0.46 0.38 0.47 0.66 0.84 0.90 0.83 0.69 0.56 0.52 0.60 0.76 0.94 1.09 1.22 1.33 1.44 1.54 1.62 1.62 1.53 1.33 1.08 0.81 0.62 0.54 0.58 0.71 0.86 0.96 0.98 0.95 0.95 1.04 1.25 1.52 1.78 1.95 1.99 1.94 1.88 1.88 1.98 2.14 2.28 2.33 2.26 2.07 1.82 1.57 1.35 1.16 0.98 0.77 0.51 0.21 0.00 0.00 0.00 0.00 0.00 0.00 25.0 + 27.5 0.02 0.15 0.21 0.26 0.37 0.58 0.86 1.10 1.19 1.11 0.90 0.67 0.56 0.61 0.77 0.93 1.00 0.94 0.80 0.65 0.58 0.62 0.74 0.89 1.02 1.13 1.21 1.29 1.35 1.40 1.41 1.35 1.22 1.04 0.83 0.66 0.55 0.56 0.66 0.83 0.99 1.11 1.18 1.27 1.42 1.67 2.01 2.35 2.61 2.73 2.70 2.61 2.54 2.53 2.58 2.63 2.61 2.46 2.18 1.82 1.47 1.18 0.97 0.82 0.67 0.46 0.20 0.00 0.00 0.00 0.00 0.00 0.02 0.15 0.21 0.26 0.37 0.58 0.86 1.10 1.19 1.11 0.90 0.67 0.56 0.61 0.77 0.93 1.00 0.94 0.80 0.65 0.58 0.62 0.74 0.89 1.02 1.13 1.21 1.29 1.35 1.40 1.41 1.35 1.22 1.04 0.83 0.66 0.55 0.56 0.66 0.83 0.99 1.11 1.18 1.27 1.42 1.67 2.01 2.35 2.61 2.73 2.70 2.61 2.54 2.53 2.58 2.63 2.61 2.46 2.18 1.82 1.47 1.18 0.97 0.82 0.67 0.46 0.20 0.00 0.00 0.00 0.00 0.00 0.02 27.5 + 30.0 0.17 0.32 0.37 0.38 0.44 0.61 0.86 1.10 1.23 1.19 1.00 0.78 0.65 0.67 0.80 0.96 1.04 1.00 0.86 0.71 0.61 0.59 0.65 0.74 0.83 0.90 0.94 0.98 1.01 1.03 1.04 1.04 1.01 0.94 0.84 0.72 0.63 0.62 0.71 0.89 1.11 1.33 1.52 1.70 1.94 2.27 2.70 3.15 3.54 3.76 3.80 3.69 3.52 3.37 3.27 3.18 3.04 2.78 2.40 1.94 1.49 1.14 0.91 0.77 0.67 0.51 0.27 0.00 0.00 0.00 0.00 0.00 0.17 0.32 0.37 0.38 0.44 0.61 0.86 1.10 1.23 1.19 1.00 0.78 0.65 0.67 0.80 0.96 1.04 1.00 0.86 0.71 0.61 0.59 0.65 0.74 0.83 0.90 0.94 0.98 1.01 1.03 1.04 1.04 1.01 0.94 0.84 0.72 0.63 0.62 0.71 0.89 1.11 1.33 1.52 1.70 1.94 2.27 2.70 3.15 3.54 3.76 3.80 3.69 3.52 3.37 3.27 3.18 3.04 2.78 2.40 1.94 1.49 1.14 0.91 0.77 0.67 0.51 0.27 0.00 0.00 0.00 0.00 0.00 0.17 30.0 + 32.5 0.35 0.50 0.52 0.48 0.47 0.56 0.77 1.00 1.15 1.14 0.98 0.77 0.63 0.63 0.74 0.90 0.99 0.98 0.86 0.71 0.57 0.50 0.50 0.52 0.56 0.59 0.60 0.61 0.61 0.62 0.65 0.71 0.78 0.84 0.86 0.84 0.79 0.77 0.84 1.02 1.29 1.58 1.86 2.13 2.43 2.82 3.33 3.90 4.41 4.76 4.87 4.77 4.52 4.24 3.98 3.75 3.49 3.14 2.67 2.13 1.62 1.22 0.98 0.86 0.77 0.64 0.42 0.14 0.00 0.00 0.00 0.12 0.35 0.50 0.52 0.48 0.47 0.56 0.77 1.00 1.15 1.14 0.98 0.77 0.63 0.63 0.74 0.90 0.99 0.98 0.86 0.71 0.57 0.50 0.50 0.52 0.56 0.59 0.60 0.61 0.61 0.62 0.65 0.71 0.78 0.84 0.86 0.84 0.79 0.77 0.84 1.02 1.29 1.58 1.86 2.13 2.43 2.82 3.33 3.90 4.41 4.76 4.87 4.77 4.52 4.24 3.98 3.75 3.49 3.14 2.67 2.13 1.62 1.22 0.98 0.86 0.77 0.64 0.42 0.14 0.00 0.00 0.00 0.12 0.35 32.5 + 35.0 0.50 0.63 0.62 0.53 0.45 0.48 0.63 0.84 1.00 1.02 0.89 0.69 0.54 0.51 0.60 0.75 0.87 0.88 0.80 0.65 0.50 0.38 0.32 0.30 0.30 0.31 0.32 0.31 0.31 0.31 0.37 0.48 0.64 0.81 0.94 0.99 0.98 0.95 1.00 1.16 1.42 1.75 2.06 2.36 2.69 3.09 3.63 4.26 4.87 5.33 5.52 5.45 5.16 4.80 4.43 4.10 3.77 3.36 2.87 2.31 1.78 1.38 1.14 1.04 0.98 0.86 0.63 0.35 0.10 0.00 0.07 0.27 0.50 0.63 0.62 0.53 0.45 0.48 0.63 0.84 1.00 1.02 0.89 0.69 0.54 0.51 0.60 0.75 0.87 0.88 0.80 0.65 0.50 0.38 0.32 0.30 0.30 0.31 0.32 0.31 0.31 0.31 0.37 0.48 0.64 0.81 0.94 0.99 0.98 0.95 1.00 1.16 1.42 1.75 2.06 2.36 2.69 3.09 3.63 4.26 4.87 5.33 5.52 5.45 5.16 4.80 4.43 4.10 3.77 3.36 2.87 2.31 1.78 1.38 1.14 1.04 0.98 0.86 0.63 0.35 0.10 0.00 0.07 0.27 0.50 35.0 + 37.5 0.57 0.68 0.65 0.52 0.39 0.38 0.50 0.70 0.87 0.91 0.80 0.60 0.43 0.37 0.43 0.58 0.71 0.76 0.71 0.58 0.42 0.28 0.19 0.15 0.15 0.17 0.20 0.21 0.21 0.22 0.29 0.42 0.63 0.86 1.05 1.14 1.13 1.09 1.09 1.21 1.44 1.74 2.04 2.31 2.59 2.94 3.43 4.05 4.69 5.21 5.47 5.44 5.17 4.78 4.38 4.03 3.70 3.32 2.87 2.37 1.89 1.53 1.32 1.25 1.22 1.11 0.90 0.60 0.33 0.18 0.21 0.38 0.57 0.68 0.65 0.52 0.39 0.38 0.50 0.70 0.87 0.91 0.80 0.60 0.43 0.37 0.43 0.58 0.71 0.76 0.71 0.58 0.42 0.28 0.19 0.15 0.15 0.17 0.20 0.21 0.21 0.22 0.29 0.42 0.63 0.86 1.05 1.14 1.13 1.09 1.09 1.21 1.44 1.74 2.04 2.31 2.59 2.94 3.43 4.05 4.69 5.21 5.47 5.44 5.17 4.78 4.38 4.03 3.70 3.32 2.87 2.37 1.89 1.53 1.32 1.25 1.22 1.11 0.90 0.60 0.33 0.18 0.21 0.38 0.57 37.5 + 40.0 0.60 0.68 0.63 0.49 0.36 0.33 0.43 0.63 0.81 0.87 0.77 0.56 0.36 0.26 0.29 0.42 0.58 0.67 0.65 0.54 0.38 0.24 0.15 0.12 0.15 0.21 0.27 0.30 0.32 0.33 0.39 0.52 0.71 0.94 1.12 1.21 1.18 1.11 1.07 1.13 1.32 1.56 1.79 1.98 2.15 2.38 2.76 3.30 3.90 4.42 4.71 4.72 4.50 4.14 3.79 3.49 3.24 2.96 2.62 2.23 1.85 1.56 1.42 1.40 1.41 1.34 1.15 0.86 0.56 0.37 0.35 0.46 0.60 0.68 0.63 0.49 0.36 0.33 0.43 0.63 0.81 0.87 0.77 0.56 0.36 0.26 0.29 0.42 0.58 0.67 0.65 0.54 0.38 0.24 0.15 0.12 0.15 0.21 0.27 0.30 0.32 0.33 0.39 0.52 0.71 0.94 1.12 1.21 1.18 1.11 1.07 1.13 1.32 1.56 1.79 1.98 2.15 2.38 2.76 3.30 3.90 4.42 4.71 4.72 4.50 4.14 3.79 3.49 3.24 2.96 2.62 2.23 1.85 1.56 1.42 1.40 1.41 1.34 1.15 0.86 0.56 0.37 0.35 0.46 0.60 40.0 + 42.5 0.64 0.70 0.65 0.52 0.39 0.37 0.47 0.67 0.86 0.93 0.83 0.60 0.36 0.21 0.21 0.34 0.51 0.63 0.64 0.55 0.41 0.28 0.21 0.22 0.28 0.38 0.46 0.51 0.53 0.53 0.57 0.66 0.81 0.98 1.11 1.14 1.08 0.98 0.91 0.94 1.08 1.26 1.40 1.48 1.51 1.61 1.84 2.24 2.75 3.22 3.50 3.54 3.36 3.08 2.80 2.60 2.47 2.33 2.14 1.88 1.61 1.42 1.36 1.40 1.47 1.47 1.33 1.07 0.78 0.56 0.49 0.54 0.64 0.70 0.65 0.52 0.39 0.37 0.47 0.67 0.86 0.93 0.83 0.60 0.36 0.21 0.21 0.34 0.51 0.63 0.64 0.55 0.41 0.28 0.21 0.22 0.28 0.38 0.46 0.51 0.53 0.53 0.57 0.66 0.81 0.98 1.11 1.14 1.08 0.98 0.91 0.94 1.08 1.26 1.40 1.48 1.51 1.61 1.84 2.24 2.75 3.22 3.50 3.54 3.36 3.08 2.80 2.60 2.47 2.33 2.14 1.88 1.61 1.42 1.36 1.40 1.47 1.47 1.33 1.07 0.78 0.56 0.49 0.54 0.64 42.5 + 45.0 0.74 0.79 0.76 0.66 0.55 0.53 0.64 0.84 1.02 1.09 0.98 0.73 0.45 0.26 0.22 0.33 0.51 0.65 0.69 0.62 0.49 0.39 0.35 0.39 0.49 0.59 0.67 0.70 0.69 0.68 0.68 0.74 0.83 0.93 0.97 0.94 0.85 0.74 0.68 0.71 0.82 0.94 1.01 0.98 0.90 0.85 0.94 1.21 1.60 1.98 2.23 2.27 2.13 1.90 1.70 1.60 1.58 1.58 1.52 1.39 1.23 1.12 1.12 1.22 1.36 1.43 1.38 1.19 0.95 0.74 0.64 0.66 0.74 0.79 0.76 0.66 0.55 0.53 0.64 0.84 1.02 1.09 0.98 0.73 0.45 0.26 0.22 0.33 0.51 0.65 0.69 0.62 0.49 0.39 0.35 0.39 0.49 0.59 0.67 0.70 0.69 0.68 0.68 0.74 0.83 0.93 0.97 0.94 0.85 0.74 0.68 0.71 0.82 0.94 1.01 0.98 0.90 0.85 0.94 1.21 1.60 1.98 2.23 2.27 2.13 1.90 1.70 1.60 1.58 1.58 1.52 1.39 1.23 1.12 1.12 1.22 1.36 1.43 1.38 1.19 0.95 0.74 0.64 0.66 0.74 45.0 + 47.5 0.90 0.98 0.98 0.92 0.85 0.84 0.94 1.13 1.30 1.36 1.24 0.97 0.66 0.42 0.35 0.43 0.59 0.72 0.76 0.69 0.58 0.50 0.50 0.57 0.67 0.76 0.80 0.78 0.73 0.68 0.67 0.70 0.75 0.77 0.76 0.68 0.57 0.48 0.46 0.52 0.63 0.72 0.72 0.62 0.45 0.32 0.30 0.46 0.74 1.03 1.22 1.23 1.10 0.91 0.76 0.73 0.79 0.88 0.92 0.88 0.79 0.73 0.77 0.90 1.09 1.24 1.28 1.19 1.02 0.86 0.78 0.81 0.90 0.98 0.98 0.92 0.85 0.84 0.94 1.13 1.30 1.36 1.24 0.97 0.66 0.42 0.35 0.43 0.59 0.72 0.76 0.69 0.58 0.50 0.50 0.57 0.67 0.76 0.80 0.78 0.73 0.68 0.67 0.70 0.75 0.77 0.76 0.68 0.57 0.48 0.46 0.52 0.63 0.72 0.72 0.62 0.45 0.32 0.30 0.46 0.74 1.03 1.22 1.23 1.10 0.91 0.76 0.73 0.79 0.88 0.92 0.88 0.79 0.73 0.77 0.90 1.09 1.24 1.28 1.19 1.02 0.86 0.78 0.81 0.90 47.5 + 50.0 1.06 1.19 1.26 1.26 1.23 1.24 1.35 1.52 1.69 1.74 1.62 1.35 1.02 0.75 0.62 0.65 0.75 0.83 0.84 0.76 0.65 0.59 0.61 0.70 0.80 0.85 0.82 0.73 0.63 0.55 0.54 0.56 0.59 0.58 0.52 0.43 0.33 0.29 0.31 0.41 0.53 0.61 0.58 0.45 0.24 0.06 0.00 0.08 0.27 0.49 0.61 0.60 0.45 0.27 0.14 0.12 0.22 0.36 0.46 0.47 0.42 0.37 0.40 0.53 0.73 0.93 1.04 1.05 0.97 0.88 0.86 0.93 1.06 1.19 1.26 1.26 1.23 1.24 1.35 1.52 1.69 1.74 1.62 1.35 1.02 0.75 0.62 0.65 0.75 0.83 0.84 0.76 0.65 0.59 0.61 0.70 0.80 0.85 0.82 0.73 0.63 0.55 0.54 0.56 0.59 0.58 0.52 0.43 0.33 0.29 0.31 0.41 0.53 0.61 0.58 0.45 0.24 0.06 0.00 0.08 0.27 0.49 0.61 0.60 0.45 0.27 0.14 0.12 0.22 0.36 0.46 0.47 0.42 0.37 0.40 0.53 0.73 0.93 1.04 1.05 0.97 0.88 0.86 0.93 1.06 50.0 + 52.5 1.13 1.34 1.49 1.57 1.61 1.68 1.80 1.98 2.16 2.22 2.13 1.87 1.54 1.25 1.06 1.00 1.01 1.01 0.95 0.82 0.70 0.65 0.69 0.79 0.87 0.88 0.78 0.63 0.48 0.39 0.37 0.40 0.43 0.42 0.35 0.26 0.20 0.19 0.26 0.38 0.50 0.57 0.54 0.40 0.21 0.03 0.00 0.00 0.12 0.28 0.37 0.33 0.17 0.00 0.00 0.00 0.00 0.07 0.19 0.23 0.19 0.13 0.12 0.21 0.38 0.57 0.72 0.79 0.78 0.77 0.81 0.94 1.13 1.34 1.49 1.57 1.61 1.68 1.80 1.98 2.16 2.22 2.13 1.87 1.54 1.25 1.06 1.00 1.01 1.01 0.95 0.82 0.70 0.65 0.69 0.79 0.87 0.88 0.78 0.63 0.48 0.39 0.37 0.40 0.43 0.42 0.35 0.26 0.20 0.19 0.26 0.38 0.50 0.57 0.54 0.40 0.21 0.03 0.00 0.00 0.12 0.28 0.37 0.33 0.17 0.00 0.00 0.00 0.00 0.07 0.19 0.23 0.19 0.13 0.12 0.21 0.38 0.57 0.72 0.79 0.78 0.77 0.81 0.94 1.13 52.5 + 55.0 1.05 1.33 1.58 1.77 1.90 2.04 2.22 2.44 2.64 2.75 2.71 2.51 2.21 1.91 1.67 1.52 1.42 1.30 1.15 0.96 0.81 0.75 0.79 0.88 0.94 0.91 0.77 0.57 0.39 0.28 0.27 0.30 0.34 0.33 0.28 0.20 0.16 0.18 0.26 0.37 0.48 0.54 0.51 0.40 0.24 0.09 0.01 0.02 0.12 0.24 0.30 0.27 0.13 0.00 0.00 0.00 0.00 0.00 0.09 0.15 0.11 0.03 0.00 0.00 0.08 0.23 0.37 0.46 0.50 0.53 0.62 0.80 1.05 1.33 1.58 1.77 1.90 2.04 2.22 2.44 2.64 2.75 2.71 2.51 2.21 1.91 1.67 1.52 1.42 1.30 1.15 0.96 0.81 0.75 0.79 0.88 0.94 0.91 0.77 0.57 0.39 0.28 0.27 0.30 0.34 0.33 0.28 0.20 0.16 0.18 0.26 0.37 0.48 0.54 0.51 0.40 0.24 0.09 0.01 0.02 0.12 0.24 0.30 0.27 0.13 0.00 0.00 0.00 0.00 0.00 0.09 0.15 0.11 0.03 0.00 0.00 0.08 0.23 0.37 0.46 0.50 0.53 0.62 0.80 1.05 55.0 + 57.5 0.82 1.17 1.50 1.79 2.03 2.26 2.51 2.78 3.04 3.22 3.26 3.15 2.92 2.65 2.40 2.18 1.97 1.75 1.50 1.25 1.05 0.96 0.97 1.03 1.07 1.01 0.84 0.63 0.43 0.31 0.28 0.31 0.34 0.33 0.28 0.22 0.19 0.20 0.26 0.34 0.41 0.44 0.42 0.35 0.24 0.12 0.05 0.04 0.10 0.19 0.26 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.07 0.14 0.12 0.01 0.00 0.00 0.00 0.00 0.06 0.13 0.17 0.22 0.32 0.53 0.82 1.17 1.50 1.79 2.03 2.26 2.51 2.78 3.04 3.22 3.26 3.15 2.92 2.65 2.40 2.18 1.97 1.75 1.50 1.25 1.05 0.96 0.97 1.03 1.07 1.01 0.84 0.63 0.43 0.31 0.28 0.31 0.34 0.33 0.28 0.22 0.19 0.20 0.26 0.34 0.41 0.44 0.42 0.35 0.24 0.12 0.05 0.04 0.10 0.19 0.26 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.07 0.14 0.12 0.01 0.00 0.00 0.00 0.00 0.06 0.13 0.17 0.22 0.32 0.53 0.82 57.5 + 60.0 0.54 0.91 1.30 1.66 1.99 2.30 2.61 2.94 3.26 3.51 3.64 3.64 3.52 3.33 3.12 2.88 2.63 2.34 2.03 1.72 1.47 1.33 1.28 1.29 1.28 1.19 1.01 0.80 0.60 0.47 0.41 0.41 0.40 0.38 0.33 0.27 0.23 0.22 0.23 0.24 0.26 0.27 0.26 0.23 0.16 0.08 0.00 0.00 0.00 0.06 0.15 0.19 0.15 0.03 0.00 0.00 0.00 0.00 0.04 0.12 0.12 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.23 0.54 0.91 1.30 1.66 1.99 2.30 2.61 2.94 3.26 3.51 3.64 3.64 3.52 3.33 3.12 2.88 2.63 2.34 2.03 1.72 1.47 1.33 1.28 1.29 1.28 1.19 1.01 0.80 0.60 0.47 0.41 0.41 0.40 0.38 0.33 0.27 0.23 0.22 0.23 0.24 0.26 0.27 0.26 0.23 0.16 0.08 0.00 0.00 0.00 0.06 0.15 0.19 0.15 0.03 0.00 0.00 0.00 0.00 0.04 0.12 0.12 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.23 0.54 60.0 + 62.5 0.31 0.68 1.07 1.46 1.82 2.17 2.52 2.87 3.22 3.52 3.74 3.86 3.87 3.81 3.68 3.51 3.28 2.99 2.66 2.33 2.04 1.83 1.71 1.64 1.56 1.43 1.25 1.04 0.84 0.70 0.61 0.55 0.50 0.43 0.36 0.29 0.24 0.19 0.15 0.12 0.08 0.07 0.07 0.07 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.09 0.01 0.00 0.00 0.00 0.00 0.00 0.04 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.31 0.68 1.07 1.46 1.82 2.17 2.52 2.87 3.22 3.52 3.74 3.86 3.87 3.81 3.68 3.51 3.28 2.99 2.66 2.33 2.04 1.83 1.71 1.64 1.56 1.43 1.25 1.04 0.84 0.70 0.61 0.55 0.50 0.43 0.36 0.29 0.24 0.19 0.15 0.12 0.08 0.07 0.07 0.07 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.09 0.01 0.00 0.00 0.00 0.00 0.00 0.04 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.31 62.5 + 65.0 0.26 0.58 0.94 1.29 1.62 1.94 2.27 2.60 2.94 3.25 3.52 3.73 3.88 3.96 3.97 3.91 3.77 3.55 3.27 2.96 2.65 2.39 2.19 2.03 1.87 1.70 1.50 1.30 1.11 0.95 0.82 0.70 0.59 0.47 0.36 0.27 0.19 0.13 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.26 0.58 0.94 1.29 1.62 1.94 2.27 2.60 2.94 3.25 3.52 3.73 3.88 3.96 3.97 3.91 3.77 3.55 3.27 2.96 2.65 2.39 2.19 2.03 1.87 1.70 1.50 1.30 1.11 0.95 0.82 0.70 0.59 0.47 0.36 0.27 0.19 0.13 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.26 65.0 + 67.5 0.41 0.68 0.96 1.22 1.47 1.71 1.95 2.21 2.48 2.76 3.04 3.30 3.55 3.75 3.91 3.99 3.98 3.88 3.70 3.45 3.17 2.89 2.62 2.38 2.16 1.95 1.74 1.55 1.37 1.20 1.04 0.86 0.67 0.49 0.33 0.20 0.11 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.18 0.41 0.68 0.96 1.22 1.47 1.71 1.95 2.21 2.48 2.76 3.04 3.30 3.55 3.75 3.91 3.99 3.98 3.88 3.70 3.45 3.17 2.89 2.62 2.38 2.16 1.95 1.74 1.55 1.37 1.20 1.04 0.86 0.67 0.49 0.33 0.20 0.11 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.18 0.41 67.5 + 70.0 0.72 0.93 1.13 1.28 1.41 1.53 1.65 1.80 1.97 2.18 2.42 2.69 2.98 3.26 3.52 3.73 3.85 3.88 3.82 3.67 3.46 3.20 2.92 2.64 2.38 2.15 1.95 1.78 1.62 1.46 1.27 1.04 0.79 0.53 0.30 0.13 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.11 0.20 0.33 0.51 0.72 0.93 1.13 1.28 1.41 1.53 1.65 1.80 1.97 2.18 2.42 2.69 2.98 3.26 3.52 3.73 3.85 3.88 3.82 3.67 3.46 3.20 2.92 2.64 2.38 2.15 1.95 1.78 1.62 1.46 1.27 1.04 0.79 0.53 0.30 0.13 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.11 0.20 0.33 0.51 0.72 70.0 + 72.5 1.08 1.25 1.37 1.42 1.43 1.41 1.40 1.43 1.49 1.62 1.80 2.04 2.32 2.63 2.92 3.19 3.39 3.53 3.59 3.57 3.45 3.25 3.01 2.74 2.50 2.29 2.13 2.00 1.88 1.73 1.53 1.26 0.95 0.63 0.34 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.27 0.23 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.01 0.00 0.03 0.09 0.19 0.29 0.40 0.53 0.69 0.88 1.08 1.25 1.37 1.42 1.43 1.41 1.40 1.43 1.49 1.62 1.80 2.04 2.32 2.63 2.92 3.19 3.39 3.53 3.59 3.57 3.45 3.25 3.01 2.74 2.50 2.29 2.13 2.00 1.88 1.73 1.53 1.26 0.95 0.63 0.34 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.27 0.23 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.01 0.00 0.03 0.09 0.19 0.29 0.40 0.53 0.69 0.88 1.08 72.5 + 75.0 1.37 1.52 1.58 1.56 1.47 1.34 1.22 1.13 1.11 1.17 1.30 1.49 1.73 1.99 2.24 2.49 2.71 2.92 3.07 3.16 3.15 3.04 2.87 2.66 2.47 2.33 2.25 2.19 2.12 2.00 1.80 1.51 1.17 0.81 0.48 0.22 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.26 0.43 0.52 0.46 0.29 0.08 0.00 0.00 0.00 0.11 0.21 0.25 0.23 0.21 0.23 0.30 0.41 0.54 0.67 0.82 0.99 1.19 1.37 1.52 1.58 1.56 1.47 1.34 1.22 1.13 1.11 1.17 1.30 1.49 1.73 1.99 2.24 2.49 2.71 2.92 3.07 3.16 3.15 3.04 2.87 2.66 2.47 2.33 2.25 2.19 2.12 2.00 1.80 1.51 1.17 0.81 0.48 0.22 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.26 0.43 0.52 0.46 0.29 0.08 0.00 0.00 0.00 0.11 0.21 0.25 0.23 0.21 0.23 0.30 0.41 0.54 0.67 0.82 0.99 1.19 1.37 75.0 + 77.5 1.54 1.66 1.70 1.63 1.48 1.28 1.07 0.91 0.83 0.85 0.95 1.11 1.29 1.46 1.60 1.76 1.94 2.15 2.37 2.55 2.64 2.62 2.51 2.38 2.27 2.24 2.26 2.29 2.29 2.21 2.02 1.75 1.41 1.07 0.75 0.49 0.27 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.13 0.29 0.50 0.68 0.76 0.69 0.50 0.28 0.15 0.15 0.26 0.41 0.51 0.52 0.47 0.41 0.40 0.47 0.59 0.74 0.88 1.03 1.20 1.37 1.54 1.66 1.70 1.63 1.48 1.28 1.07 0.91 0.83 0.85 0.95 1.11 1.29 1.46 1.60 1.76 1.94 2.15 2.37 2.55 2.64 2.62 2.51 2.38 2.27 2.24 2.26 2.29 2.29 2.21 2.02 1.75 1.41 1.07 0.75 0.49 0.27 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.13 0.29 0.50 0.68 0.76 0.69 0.50 0.28 0.15 0.15 0.26 0.41 0.51 0.52 0.47 0.41 0.40 0.47 0.59 0.74 0.88 1.03 1.20 1.37 1.54 77.5 + 80.0 1.56 1.66 1.69 1.62 1.44 1.19 0.93 0.72 0.62 0.64 0.75 0.90 1.02 1.08 1.09 1.10 1.19 1.37 1.62 1.86 2.02 2.07 2.01 1.94 1.92 1.98 2.11 2.25 2.32 2.28 2.13 1.89 1.63 1.37 1.13 0.91 0.69 0.44 0.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.10 0.21 0.40 0.64 0.84 0.92 0.84 0.62 0.40 0.29 0.33 0.49 0.68 0.78 0.76 0.65 0.53 0.49 0.55 0.69 0.86 1.02 1.16 1.29 1.42 1.56 1.66 1.69 1.62 1.44 1.19 0.93 0.72 0.62 0.64 0.75 0.90 1.02 1.08 1.09 1.10 1.19 1.37 1.62 1.86 2.02 2.07 2.01 1.94 1.92 1.98 2.11 2.25 2.32 2.28 2.13 1.89 1.63 1.37 1.13 0.91 0.69 0.44 0.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.10 0.21 0.40 0.64 0.84 0.92 0.84 0.62 0.40 0.29 0.33 0.49 0.68 0.78 0.76 0.65 0.53 0.49 0.55 0.69 0.86 1.02 1.16 1.29 1.42 1.56 80.0 + 82.5 1.48 1.57 1.60 1.53 1.35 1.08 0.78 0.55 0.45 0.49 0.65 0.81 0.89 0.85 0.72 0.60 0.58 0.71 0.96 1.24 1.43 1.50 1.46 1.41 1.44 1.58 1.80 2.02 2.15 2.15 2.05 1.89 1.74 1.63 1.54 1.43 1.24 0.95 0.57 0.19 0.00 0.00 0.00 0.00 0.00 0.03 0.07 0.10 0.20 0.40 0.65 0.87 0.95 0.85 0.62 0.40 0.30 0.39 0.61 0.84 0.95 0.89 0.72 0.55 0.47 0.53 0.70 0.90 1.08 1.21 1.30 1.39 1.48 1.57 1.60 1.53 1.35 1.08 0.78 0.55 0.45 0.49 0.65 0.81 0.89 0.85 0.72 0.60 0.58 0.71 0.96 1.24 1.43 1.50 1.46 1.41 1.44 1.58 1.80 2.02 2.15 2.15 2.05 1.89 1.74 1.63 1.54 1.43 1.24 0.95 0.57 0.19 0.00 0.00 0.00 0.00 0.00 0.03 0.07 0.10 0.20 0.40 0.65 0.87 0.95 0.85 0.62 0.40 0.30 0.39 0.61 0.84 0.95 0.89 0.72 0.55 0.47 0.53 0.70 0.90 1.08 1.21 1.30 1.39 1.48 82.5 + 85.0 1.36 1.43 1.47 1.42 1.25 0.97 0.66 0.41 0.31 0.40 0.59 0.79 0.86 0.75 0.51 0.27 0.15 0.24 0.49 0.77 0.97 1.02 0.96 0.89 0.93 1.11 1.38 1.64 1.80 1.82 1.76 1.68 1.68 1.76 1.88 1.93 1.82 1.52 1.07 0.58 0.18 0.00 0.00 0.00 0.09 0.13 0.11 0.08 0.14 0.31 0.57 0.79 0.87 0.75 0.50 0.27 0.20 0.34 0.61 0.88 1.01 0.93 0.72 0.49 0.38 0.45 0.65 0.89 1.10 1.22 1.28 1.31 1.36 1.43 1.47 1.42 1.25 0.97 0.66 0.41 0.31 0.40 0.59 0.79 0.86 0.75 0.51 0.27 0.15 0.24 0.49 0.77 0.97 1.02 0.96 0.89 0.93 1.11 1.38 1.64 1.80 1.82 1.76 1.68 1.68 1.76 1.88 1.93 1.82 1.52 1.07 0.58 0.18 0.00 0.00 0.00 0.09 0.13 0.11 0.08 0.14 0.31 0.57 0.79 0.87 0.75 0.50 0.27 0.20 0.34 0.61 0.88 1.01 0.93 0.72 0.49 0.38 0.45 0.65 0.89 1.10 1.22 1.28 1.31 1.36 85.0 + 87.5 1.26 1.31 1.35 1.32 1.16 0.89 0.57 0.32 0.23 0.34 0.58 0.81 0.88 0.73 0.43 0.11 0.00 0.00 0.24 0.53 0.71 0.72 0.61 0.50 0.49 0.65 0.92 1.17 1.32 1.34 1.30 1.31 1.44 1.71 2.02 2.25 2.26 2.01 1.56 1.04 0.59 0.33 0.27 0.32 0.38 0.36 0.25 0.13 0.11 0.24 0.47 0.67 0.73 0.59 0.33 0.10 0.04 0.22 0.54 0.85 0.99 0.90 0.66 0.40 0.28 0.35 0.58 0.87 1.10 1.23 1.26 1.25 1.26 1.31 1.35 1.32 1.16 0.89 0.57 0.32 0.23 0.34 0.58 0.81 0.88 0.73 0.43 0.11 0.00 0.00 0.24 0.53 0.71 0.72 0.61 0.50 0.49 0.65 0.92 1.17 1.32 1.34 1.30 1.31 1.44 1.71 2.02 2.25 2.26 2.01 1.56 1.04 0.59 0.33 0.27 0.32 0.38 0.36 0.25 0.13 0.11 0.24 0.47 0.67 0.73 0.59 0.33 0.10 0.04 0.22 0.54 0.85 0.99 0.90 0.66 0.40 0.28 0.35 0.58 0.87 1.10 1.23 1.26 1.25 1.26 87.5 + 90.0 1.22 1.24 1.28 1.25 1.12 0.86 0.55 0.30 0.22 0.34 0.61 0.85 0.93 0.78 0.46 0.12 0.00 0.00 0.21 0.49 0.65 0.62 0.45 0.28 0.22 0.31 0.52 0.71 0.81 0.80 0.77 0.82 1.05 1.45 1.91 2.28 2.42 2.28 1.91 1.45 1.05 0.82 0.77 0.80 0.81 0.71 0.52 0.31 0.22 0.28 0.45 0.62 0.65 0.49 0.21 0.00 0.00 0.12 0.46 0.78 0.93 0.85 0.61 0.34 0.22 0.30 0.55 0.86 1.12 1.25 1.28 1.24 1.22 1.24 1.28 1.25 1.12 0.86 0.55 0.30 0.22 0.34 0.61 0.85 0.93 0.78 0.46 0.12 0.00 0.00 0.21 0.49 0.65 0.62 0.45 0.28 0.22 0.31 0.52 0.71 0.81 0.80 0.77 0.82 1.05 1.45 1.91 2.28 2.42 2.28 1.91 1.45 1.05 0.82 0.77 0.80 0.81 0.71 0.52 0.31 0.22 0.28 0.45 0.62 0.65 0.49 0.21 0.00 0.00 0.12 0.46 0.78 0.93 0.85 0.61 0.34 0.22 0.30 0.55 0.86 1.12 1.25 1.28 1.24 1.22 90.0 + + 25.0 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.30 ) PHI2 = 25. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.0 + 2.5 0.39 0.36 0.36 0.35 0.26 0.08 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.38 0.40 0.39 0.41 0.50 0.65 0.84 1.05 1.27 1.51 1.76 1.99 2.16 2.24 2.19 2.04 1.83 1.59 1.35 1.13 0.91 0.71 0.55 0.45 0.41 0.40 0.37 0.25 0.05 0.00 0.00 0.00 0.00 0.00 0.04 0.23 0.33 0.36 0.38 0.43 0.54 0.72 0.92 1.14 1.37 1.61 1.86 2.09 2.25 2.30 2.22 2.03 1.79 1.53 1.29 1.06 0.85 0.65 0.49 0.39 0.36 0.36 0.35 0.26 0.08 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.38 0.40 0.39 0.41 0.50 0.65 0.84 1.05 1.27 1.51 1.76 1.99 2.16 2.24 2.19 2.04 1.83 1.59 1.35 1.13 0.91 0.71 0.55 0.45 0.41 0.40 0.37 0.25 0.05 0.00 0.00 0.00 0.00 0.00 0.04 0.23 0.33 0.36 0.38 0.43 0.54 0.72 0.92 1.14 1.37 1.61 1.86 2.09 2.25 2.30 2.22 2.03 1.79 1.53 1.29 1.06 0.85 0.65 0.49 0.39 2.5 + 5.0 0.28 0.28 0.33 0.37 0.35 0.25 0.07 0.00 0.00 0.00 0.05 0.25 0.42 0.50 0.48 0.42 0.38 0.41 0.51 0.67 0.88 1.12 1.38 1.65 1.91 2.12 2.23 2.23 2.11 1.90 1.66 1.40 1.15 0.92 0.72 0.59 0.51 0.50 0.50 0.46 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.15 0.30 0.37 0.38 0.40 0.46 0.59 0.78 0.99 1.23 1.48 1.76 2.03 2.28 2.43 2.44 2.31 2.06 1.75 1.44 1.16 0.91 0.70 0.51 0.36 0.28 0.28 0.33 0.37 0.35 0.25 0.07 0.00 0.00 0.00 0.05 0.25 0.42 0.50 0.48 0.42 0.38 0.41 0.51 0.67 0.88 1.12 1.38 1.65 1.91 2.12 2.23 2.23 2.11 1.90 1.66 1.40 1.15 0.92 0.72 0.59 0.51 0.50 0.50 0.46 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.15 0.30 0.37 0.38 0.40 0.46 0.59 0.78 0.99 1.23 1.48 1.76 2.03 2.28 2.43 2.44 2.31 2.06 1.75 1.44 1.16 0.91 0.70 0.51 0.36 0.28 5.0 + 7.5 0.18 0.21 0.30 0.40 0.46 0.43 0.33 0.20 0.12 0.14 0.26 0.43 0.57 0.63 0.59 0.48 0.37 0.32 0.36 0.49 0.69 0.94 1.22 1.50 1.78 2.01 2.17 2.21 2.14 1.96 1.71 1.43 1.15 0.91 0.74 0.64 0.62 0.64 0.66 0.62 0.50 0.32 0.12 0.00 0.00 0.10 0.26 0.42 0.51 0.54 0.54 0.56 0.63 0.77 0.95 1.17 1.40 1.67 1.96 2.26 2.50 2.63 2.59 2.38 2.05 1.67 1.30 0.98 0.73 0.52 0.35 0.23 0.18 0.21 0.30 0.40 0.46 0.43 0.33 0.20 0.12 0.14 0.26 0.43 0.57 0.63 0.59 0.48 0.37 0.32 0.36 0.49 0.69 0.94 1.22 1.50 1.78 2.01 2.17 2.21 2.14 1.96 1.71 1.43 1.15 0.91 0.74 0.64 0.62 0.64 0.66 0.62 0.50 0.32 0.12 0.00 0.00 0.10 0.26 0.42 0.51 0.54 0.54 0.56 0.63 0.77 0.95 1.17 1.40 1.67 1.96 2.26 2.50 2.63 2.59 2.38 2.05 1.67 1.30 0.98 0.73 0.52 0.35 0.23 0.18 7.5 + 10.0 0.13 0.17 0.29 0.43 0.54 0.58 0.53 0.43 0.33 0.31 0.38 0.52 0.66 0.73 0.69 0.56 0.40 0.29 0.27 0.37 0.55 0.80 1.06 1.34 1.60 1.84 2.02 2.11 2.08 1.94 1.70 1.41 1.12 0.89 0.74 0.71 0.75 0.83 0.88 0.85 0.73 0.57 0.42 0.36 0.41 0.55 0.72 0.85 0.90 0.89 0.87 0.89 0.97 1.11 1.28 1.46 1.66 1.90 2.18 2.45 2.67 2.75 2.64 2.36 1.96 1.52 1.11 0.79 0.54 0.37 0.24 0.15 0.13 0.17 0.29 0.43 0.54 0.58 0.53 0.43 0.33 0.31 0.38 0.52 0.66 0.73 0.69 0.56 0.40 0.29 0.27 0.37 0.55 0.80 1.06 1.34 1.60 1.84 2.02 2.11 2.08 1.94 1.70 1.41 1.12 0.89 0.74 0.71 0.75 0.83 0.88 0.85 0.73 0.57 0.42 0.36 0.41 0.55 0.72 0.85 0.90 0.89 0.87 0.89 0.97 1.11 1.28 1.46 1.66 1.90 2.18 2.45 2.67 2.75 2.64 2.36 1.96 1.52 1.11 0.79 0.54 0.37 0.24 0.15 0.13 10.0 + 12.5 0.13 0.18 0.29 0.43 0.57 0.64 0.63 0.54 0.42 0.35 0.38 0.49 0.64 0.75 0.75 0.64 0.47 0.33 0.27 0.33 0.49 0.71 0.95 1.19 1.41 1.63 1.81 1.94 1.96 1.86 1.65 1.36 1.07 0.85 0.74 0.76 0.88 1.01 1.10 1.09 0.98 0.84 0.73 0.73 0.85 1.04 1.22 1.33 1.36 1.32 1.30 1.32 1.41 1.54 1.68 1.81 1.95 2.13 2.34 2.56 2.71 2.72 2.55 2.20 1.76 1.29 0.89 0.59 0.39 0.27 0.19 0.14 0.13 0.18 0.29 0.43 0.57 0.64 0.63 0.54 0.42 0.35 0.38 0.49 0.64 0.75 0.75 0.64 0.47 0.33 0.27 0.33 0.49 0.71 0.95 1.19 1.41 1.63 1.81 1.94 1.96 1.86 1.65 1.36 1.07 0.85 0.74 0.76 0.88 1.01 1.10 1.09 0.98 0.84 0.73 0.73 0.85 1.04 1.22 1.33 1.36 1.32 1.30 1.32 1.41 1.54 1.68 1.81 1.95 2.13 2.34 2.56 2.71 2.72 2.55 2.20 1.76 1.29 0.89 0.59 0.39 0.27 0.19 0.14 0.13 12.5 + 15.0 0.17 0.20 0.28 0.41 0.55 0.64 0.65 0.57 0.42 0.31 0.28 0.37 0.54 0.70 0.76 0.71 0.56 0.41 0.33 0.36 0.50 0.69 0.89 1.08 1.25 1.43 1.61 1.76 1.82 1.77 1.59 1.32 1.03 0.82 0.73 0.79 0.95 1.14 1.26 1.26 1.17 1.04 0.96 1.01 1.18 1.41 1.61 1.71 1.72 1.67 1.65 1.68 1.79 1.92 2.03 2.12 2.19 2.28 2.40 2.53 2.59 2.52 2.29 1.92 1.46 1.02 0.65 0.39 0.25 0.19 0.17 0.16 0.17 0.20 0.28 0.41 0.55 0.64 0.65 0.57 0.42 0.31 0.28 0.37 0.54 0.70 0.76 0.71 0.56 0.41 0.33 0.36 0.50 0.69 0.89 1.08 1.25 1.43 1.61 1.76 1.82 1.77 1.59 1.32 1.03 0.82 0.73 0.79 0.95 1.14 1.26 1.26 1.17 1.04 0.96 1.01 1.18 1.41 1.61 1.71 1.72 1.67 1.65 1.68 1.79 1.92 2.03 2.12 2.19 2.28 2.40 2.53 2.59 2.52 2.29 1.92 1.46 1.02 0.65 0.39 0.25 0.19 0.17 0.16 0.17 15.0 + 17.5 0.17 0.19 0.25 0.36 0.50 0.63 0.66 0.59 0.43 0.26 0.19 0.24 0.41 0.61 0.74 0.74 0.63 0.49 0.40 0.42 0.53 0.70 0.87 1.02 1.16 1.32 1.49 1.64 1.74 1.72 1.57 1.32 1.03 0.81 0.71 0.77 0.95 1.15 1.29 1.31 1.23 1.12 1.06 1.13 1.32 1.56 1.77 1.87 1.86 1.81 1.78 1.83 1.96 2.10 2.22 2.29 2.31 2.32 2.34 2.36 2.32 2.19 1.92 1.56 1.13 0.72 0.40 0.19 0.11 0.10 0.13 0.16 0.17 0.19 0.25 0.36 0.50 0.63 0.66 0.59 0.43 0.26 0.19 0.24 0.41 0.61 0.74 0.74 0.63 0.49 0.40 0.42 0.53 0.70 0.87 1.02 1.16 1.32 1.49 1.64 1.74 1.72 1.57 1.32 1.03 0.81 0.71 0.77 0.95 1.15 1.29 1.31 1.23 1.12 1.06 1.13 1.32 1.56 1.77 1.87 1.86 1.81 1.78 1.83 1.96 2.10 2.22 2.29 2.31 2.32 2.34 2.36 2.32 2.19 1.92 1.56 1.13 0.72 0.40 0.19 0.11 0.10 0.13 0.16 0.17 17.5 + 20.0 0.12 0.15 0.20 0.31 0.47 0.62 0.71 0.66 0.50 0.30 0.17 0.18 0.32 0.53 0.70 0.74 0.67 0.54 0.45 0.45 0.56 0.71 0.88 1.02 1.15 1.29 1.45 1.62 1.73 1.73 1.60 1.36 1.07 0.83 0.70 0.72 0.86 1.05 1.20 1.24 1.18 1.09 1.05 1.12 1.31 1.55 1.75 1.85 1.84 1.78 1.74 1.80 1.93 2.10 2.24 2.32 2.31 2.26 2.18 2.09 1.96 1.78 1.51 1.18 0.81 0.45 0.17 0.00 0.00 0.00 0.02 0.09 0.12 0.15 0.20 0.31 0.47 0.62 0.71 0.66 0.50 0.30 0.17 0.18 0.32 0.53 0.70 0.74 0.67 0.54 0.45 0.45 0.56 0.71 0.88 1.02 1.15 1.29 1.45 1.62 1.73 1.73 1.60 1.36 1.07 0.83 0.70 0.72 0.86 1.05 1.20 1.24 1.18 1.09 1.05 1.12 1.31 1.55 1.75 1.85 1.84 1.78 1.74 1.80 1.93 2.10 2.24 2.32 2.31 2.26 2.18 2.09 1.96 1.78 1.51 1.18 0.81 0.45 0.17 0.00 0.00 0.00 0.02 0.09 0.12 20.0 + 22.5 0.05 0.09 0.14 0.26 0.45 0.65 0.79 0.80 0.65 0.43 0.25 0.20 0.31 0.50 0.68 0.75 0.70 0.58 0.48 0.47 0.56 0.72 0.89 1.04 1.17 1.31 1.47 1.62 1.73 1.74 1.63 1.41 1.12 0.86 0.69 0.66 0.74 0.90 1.04 1.12 1.11 1.06 1.05 1.13 1.31 1.55 1.76 1.86 1.86 1.79 1.74 1.77 1.89 2.06 2.21 2.29 2.26 2.15 1.98 1.79 1.59 1.37 1.12 0.84 0.54 0.24 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.14 0.26 0.45 0.65 0.79 0.80 0.65 0.43 0.25 0.20 0.31 0.50 0.68 0.75 0.70 0.58 0.48 0.47 0.56 0.72 0.89 1.04 1.17 1.31 1.47 1.62 1.73 1.74 1.63 1.41 1.12 0.86 0.69 0.66 0.74 0.90 1.04 1.12 1.11 1.06 1.05 1.13 1.31 1.55 1.76 1.86 1.86 1.79 1.74 1.77 1.89 2.06 2.21 2.29 2.26 2.15 1.98 1.79 1.59 1.37 1.12 0.84 0.54 0.24 0.00 0.00 0.00 0.00 0.00 0.00 0.05 22.5 + 25.0 0.00 0.05 0.12 0.24 0.44 0.68 0.88 0.94 0.83 0.61 0.39 0.30 0.36 0.53 0.70 0.78 0.74 0.62 0.52 0.49 0.57 0.71 0.88 1.04 1.17 1.30 1.44 1.57 1.66 1.67 1.58 1.39 1.14 0.89 0.70 0.62 0.65 0.77 0.92 1.04 1.10 1.13 1.18 1.30 1.50 1.76 2.00 2.15 2.17 2.11 2.03 2.01 2.07 2.19 2.31 2.34 2.27 2.08 1.82 1.53 1.26 1.01 0.80 0.58 0.34 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.12 0.24 0.44 0.68 0.88 0.94 0.83 0.61 0.39 0.30 0.36 0.53 0.70 0.78 0.74 0.62 0.52 0.49 0.57 0.71 0.88 1.04 1.17 1.30 1.44 1.57 1.66 1.67 1.58 1.39 1.14 0.89 0.70 0.62 0.65 0.77 0.92 1.04 1.10 1.13 1.18 1.30 1.50 1.76 2.00 2.15 2.17 2.11 2.03 2.01 2.07 2.19 2.31 2.34 2.27 2.08 1.82 1.53 1.26 1.01 0.80 0.58 0.34 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 25.0 + 27.5 0.02 0.09 0.14 0.24 0.43 0.68 0.91 1.02 0.95 0.75 0.53 0.41 0.43 0.57 0.74 0.82 0.80 0.69 0.58 0.53 0.57 0.68 0.83 0.96 1.08 1.18 1.28 1.37 1.43 1.44 1.38 1.26 1.09 0.91 0.75 0.65 0.64 0.74 0.89 1.07 1.23 1.36 1.50 1.69 1.95 2.27 2.58 2.81 2.90 2.87 2.76 2.66 2.61 2.62 2.63 2.58 2.42 2.13 1.76 1.37 1.03 0.77 0.58 0.42 0.25 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.09 0.14 0.24 0.43 0.68 0.91 1.02 0.95 0.75 0.53 0.41 0.43 0.57 0.74 0.82 0.80 0.69 0.58 0.53 0.57 0.68 0.83 0.96 1.08 1.18 1.28 1.37 1.43 1.44 1.38 1.26 1.09 0.91 0.75 0.65 0.64 0.74 0.89 1.07 1.23 1.36 1.50 1.69 1.95 2.27 2.58 2.81 2.90 2.87 2.76 2.66 2.61 2.62 2.63 2.58 2.42 2.13 1.76 1.37 1.03 0.77 0.58 0.42 0.25 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.02 27.5 + 30.0 0.13 0.18 0.19 0.24 0.39 0.61 0.85 0.99 0.97 0.81 0.61 0.48 0.48 0.60 0.76 0.85 0.85 0.75 0.64 0.56 0.56 0.62 0.71 0.80 0.88 0.94 0.99 1.03 1.06 1.07 1.07 1.04 0.99 0.91 0.82 0.75 0.74 0.81 0.97 1.20 1.45 1.69 1.93 2.20 2.54 2.94 3.35 3.69 3.88 3.91 3.79 3.60 3.43 3.28 3.15 2.98 2.70 2.30 1.83 1.35 0.95 0.68 0.51 0.39 0.25 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.18 0.19 0.24 0.39 0.61 0.85 0.99 0.97 0.81 0.61 0.48 0.48 0.60 0.76 0.85 0.85 0.75 0.64 0.56 0.56 0.62 0.71 0.80 0.88 0.94 0.99 1.03 1.06 1.07 1.07 1.04 0.99 0.91 0.82 0.75 0.74 0.81 0.97 1.20 1.45 1.69 1.93 2.20 2.54 2.94 3.35 3.69 3.88 3.91 3.79 3.60 3.43 3.28 3.15 2.98 2.70 2.30 1.83 1.35 0.95 0.68 0.51 0.39 0.25 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.13 30.0 + 32.5 0.26 0.29 0.25 0.23 0.31 0.49 0.71 0.87 0.89 0.78 0.60 0.48 0.47 0.57 0.72 0.83 0.85 0.78 0.67 0.57 0.52 0.52 0.54 0.57 0.60 0.62 0.63 0.64 0.65 0.67 0.72 0.79 0.87 0.92 0.93 0.91 0.89 0.95 1.10 1.35 1.66 1.98 2.30 2.63 3.03 3.49 4.00 4.45 4.76 4.86 4.75 4.51 4.22 3.93 3.66 3.37 3.00 2.52 1.98 1.44 1.01 0.72 0.56 0.47 0.35 0.17 0.00 0.00 0.00 0.00 0.00 0.12 0.26 0.29 0.25 0.23 0.31 0.49 0.71 0.87 0.89 0.78 0.60 0.48 0.47 0.57 0.72 0.83 0.85 0.78 0.67 0.57 0.52 0.52 0.54 0.57 0.60 0.62 0.63 0.64 0.65 0.67 0.72 0.79 0.87 0.92 0.93 0.91 0.89 0.95 1.10 1.35 1.66 1.98 2.30 2.63 3.03 3.49 4.00 4.45 4.76 4.86 4.75 4.51 4.22 3.93 3.66 3.37 3.00 2.52 1.98 1.44 1.01 0.72 0.56 0.47 0.35 0.17 0.00 0.00 0.00 0.00 0.00 0.12 0.26 32.5 + 35.0 0.36 0.36 0.27 0.19 0.19 0.32 0.53 0.70 0.76 0.69 0.54 0.42 0.39 0.48 0.62 0.75 0.80 0.76 0.66 0.55 0.45 0.39 0.35 0.34 0.34 0.34 0.34 0.33 0.33 0.36 0.45 0.60 0.78 0.94 1.03 1.05 1.04 1.06 1.18 1.42 1.73 2.07 2.41 2.76 3.16 3.64 4.19 4.72 5.12 5.30 5.23 4.98 4.63 4.26 3.91 3.56 3.15 2.65 2.10 1.57 1.14 0.86 0.72 0.64 0.53 0.35 0.12 0.00 0.00 0.00 0.03 0.23 0.36 0.36 0.27 0.19 0.19 0.32 0.53 0.70 0.76 0.69 0.54 0.42 0.39 0.48 0.62 0.75 0.80 0.76 0.66 0.55 0.45 0.39 0.35 0.34 0.34 0.34 0.34 0.33 0.33 0.36 0.45 0.60 0.78 0.94 1.03 1.05 1.04 1.06 1.18 1.42 1.73 2.07 2.41 2.76 3.16 3.64 4.19 4.72 5.12 5.30 5.23 4.98 4.63 4.26 3.91 3.56 3.15 2.65 2.10 1.57 1.14 0.86 0.72 0.64 0.53 0.35 0.12 0.00 0.00 0.00 0.03 0.23 0.36 35.0 + 37.5 0.38 0.36 0.24 0.11 0.08 0.17 0.36 0.54 0.63 0.60 0.47 0.34 0.28 0.33 0.46 0.61 0.69 0.69 0.62 0.50 0.37 0.27 0.20 0.18 0.18 0.20 0.21 0.20 0.20 0.23 0.33 0.51 0.74 0.96 1.10 1.13 1.10 1.08 1.15 1.34 1.61 1.92 2.21 2.50 2.83 3.25 3.77 4.31 4.76 5.00 4.99 4.77 4.42 4.05 3.71 3.38 3.02 2.60 2.11 1.64 1.25 1.01 0.90 0.84 0.75 0.57 0.32 0.09 0.00 0.00 0.11 0.28 0.38 0.36 0.24 0.11 0.08 0.17 0.36 0.54 0.63 0.60 0.47 0.34 0.28 0.33 0.46 0.61 0.69 0.69 0.62 0.50 0.37 0.27 0.20 0.18 0.18 0.20 0.21 0.20 0.20 0.23 0.33 0.51 0.74 0.96 1.10 1.13 1.10 1.08 1.15 1.34 1.61 1.92 2.21 2.50 2.83 3.25 3.77 4.31 4.76 5.00 4.99 4.77 4.42 4.05 3.71 3.38 3.02 2.60 2.11 1.64 1.25 1.01 0.90 0.84 0.75 0.57 0.32 0.09 0.00 0.00 0.11 0.28 0.38 37.5 + 40.0 0.36 0.32 0.19 0.04 0.00 0.06 0.24 0.43 0.54 0.53 0.40 0.25 0.16 0.17 0.29 0.45 0.58 0.63 0.58 0.46 0.32 0.21 0.14 0.13 0.17 0.22 0.25 0.26 0.25 0.27 0.35 0.52 0.75 0.95 1.08 1.10 1.04 0.98 1.00 1.12 1.33 1.56 1.75 1.92 2.12 2.42 2.84 3.32 3.76 4.04 4.08 3.92 3.63 3.32 3.05 2.83 2.59 2.29 1.93 1.56 1.26 1.08 1.01 0.99 0.93 0.77 0.53 0.29 0.12 0.09 0.17 0.30 0.36 0.32 0.19 0.04 0.00 0.06 0.24 0.43 0.54 0.53 0.40 0.25 0.16 0.17 0.29 0.45 0.58 0.63 0.58 0.46 0.32 0.21 0.14 0.13 0.17 0.22 0.25 0.26 0.25 0.27 0.35 0.52 0.75 0.95 1.08 1.10 1.04 0.98 1.00 1.12 1.33 1.56 1.75 1.92 2.12 2.42 2.84 3.32 3.76 4.04 4.08 3.92 3.63 3.32 3.05 2.83 2.59 2.29 1.93 1.56 1.26 1.08 1.01 0.99 0.93 0.77 0.53 0.29 0.12 0.09 0.17 0.30 0.36 40.0 + 42.5 0.36 0.31 0.18 0.03 0.00 0.02 0.19 0.38 0.51 0.50 0.36 0.18 0.05 0.04 0.15 0.33 0.50 0.59 0.57 0.47 0.33 0.22 0.18 0.20 0.28 0.36 0.41 0.42 0.40 0.40 0.45 0.58 0.75 0.91 0.98 0.96 0.87 0.78 0.78 0.86 1.01 1.14 1.22 1.24 1.28 1.42 1.70 2.09 2.48 2.74 2.82 2.70 2.48 2.26 2.11 2.01 1.92 1.77 1.56 1.32 1.12 1.01 0.99 1.02 1.01 0.91 0.71 0.47 0.28 0.20 0.23 0.31 0.36 0.31 0.18 0.03 0.00 0.02 0.19 0.38 0.51 0.50 0.36 0.18 0.05 0.04 0.15 0.33 0.50 0.59 0.57 0.47 0.33 0.22 0.18 0.20 0.28 0.36 0.41 0.42 0.40 0.40 0.45 0.58 0.75 0.91 0.98 0.96 0.87 0.78 0.78 0.86 1.01 1.14 1.22 1.24 1.28 1.42 1.70 2.09 2.48 2.74 2.82 2.70 2.48 2.26 2.11 2.01 1.92 1.77 1.56 1.32 1.12 1.01 0.99 1.02 1.01 0.91 0.71 0.47 0.28 0.20 0.23 0.31 0.36 42.5 + 45.0 0.42 0.38 0.26 0.12 0.04 0.08 0.23 0.41 0.53 0.52 0.37 0.16 0.00 0.00 0.07 0.27 0.47 0.59 0.59 0.50 0.38 0.29 0.28 0.34 0.44 0.53 0.57 0.57 0.53 0.51 0.54 0.62 0.73 0.81 0.82 0.75 0.64 0.57 0.57 0.65 0.75 0.81 0.77 0.67 0.57 0.56 0.71 0.99 1.30 1.53 1.60 1.51 1.34 1.19 1.12 1.14 1.17 1.17 1.09 0.96 0.84 0.79 0.83 0.92 0.97 0.94 0.81 0.61 0.44 0.34 0.34 0.39 0.42 0.38 0.26 0.12 0.04 0.08 0.23 0.41 0.53 0.52 0.37 0.16 0.00 0.00 0.07 0.27 0.47 0.59 0.59 0.50 0.38 0.29 0.28 0.34 0.44 0.53 0.57 0.57 0.53 0.51 0.54 0.62 0.73 0.81 0.82 0.75 0.64 0.57 0.57 0.65 0.75 0.81 0.77 0.67 0.57 0.56 0.71 0.99 1.30 1.53 1.60 1.51 1.34 1.19 1.12 1.14 1.17 1.17 1.09 0.96 0.84 0.79 0.83 0.92 0.97 0.94 0.81 0.61 0.44 0.34 0.34 0.39 0.42 45.0 + 47.5 0.56 0.54 0.45 0.32 0.24 0.25 0.37 0.53 0.63 0.61 0.45 0.22 0.04 0.00 0.07 0.27 0.48 0.61 0.61 0.53 0.43 0.37 0.40 0.48 0.59 0.65 0.66 0.62 0.56 0.54 0.56 0.61 0.67 0.68 0.63 0.53 0.44 0.40 0.43 0.53 0.62 0.63 0.52 0.33 0.13 0.03 0.09 0.28 0.52 0.69 0.73 0.64 0.49 0.37 0.34 0.42 0.53 0.62 0.63 0.58 0.52 0.51 0.58 0.71 0.82 0.87 0.81 0.69 0.55 0.46 0.46 0.51 0.56 0.54 0.45 0.32 0.24 0.25 0.37 0.53 0.63 0.61 0.45 0.22 0.04 0.00 0.07 0.27 0.48 0.61 0.61 0.53 0.43 0.37 0.40 0.48 0.59 0.65 0.66 0.62 0.56 0.54 0.56 0.61 0.67 0.68 0.63 0.53 0.44 0.40 0.43 0.53 0.62 0.63 0.52 0.33 0.13 0.03 0.09 0.28 0.52 0.69 0.73 0.64 0.49 0.37 0.34 0.42 0.53 0.62 0.63 0.58 0.52 0.51 0.58 0.71 0.82 0.87 0.81 0.69 0.55 0.46 0.46 0.51 0.56 47.5 + 50.0 0.73 0.76 0.71 0.61 0.53 0.53 0.62 0.76 0.85 0.82 0.66 0.43 0.22 0.14 0.21 0.37 0.54 0.64 0.62 0.53 0.45 0.42 0.48 0.59 0.68 0.71 0.66 0.57 0.50 0.48 0.51 0.57 0.60 0.57 0.48 0.37 0.29 0.29 0.37 0.50 0.59 0.57 0.44 0.21 0.00 0.00 0.00 0.00 0.17 0.31 0.32 0.21 0.04 0.00 0.00 0.00 0.11 0.24 0.30 0.30 0.26 0.26 0.32 0.46 0.60 0.70 0.71 0.66 0.58 0.53 0.56 0.65 0.73 0.76 0.71 0.61 0.53 0.53 0.62 0.76 0.85 0.82 0.66 0.43 0.22 0.14 0.21 0.37 0.54 0.64 0.62 0.53 0.45 0.42 0.48 0.59 0.68 0.71 0.66 0.57 0.50 0.48 0.51 0.57 0.60 0.57 0.48 0.37 0.29 0.29 0.37 0.50 0.59 0.57 0.44 0.21 0.00 0.00 0.00 0.00 0.17 0.31 0.32 0.21 0.04 0.00 0.00 0.00 0.11 0.24 0.30 0.30 0.26 0.26 0.32 0.46 0.60 0.70 0.71 0.66 0.58 0.53 0.56 0.65 0.73 50.0 + 52.5 0.85 0.95 0.97 0.92 0.87 0.88 0.97 1.10 1.19 1.18 1.04 0.82 0.60 0.49 0.50 0.59 0.68 0.71 0.64 0.54 0.46 0.46 0.55 0.67 0.74 0.72 0.62 0.49 0.41 0.40 0.46 0.53 0.55 0.50 0.39 0.27 0.21 0.24 0.35 0.49 0.58 0.56 0.43 0.22 0.01 0.00 0.00 0.00 0.14 0.25 0.24 0.13 0.00 0.00 0.00 0.00 0.00 0.07 0.16 0.17 0.13 0.11 0.14 0.24 0.37 0.48 0.53 0.52 0.49 0.50 0.57 0.71 0.85 0.95 0.97 0.92 0.87 0.88 0.97 1.10 1.19 1.18 1.04 0.82 0.60 0.49 0.50 0.59 0.68 0.71 0.64 0.54 0.46 0.46 0.55 0.67 0.74 0.72 0.62 0.49 0.41 0.40 0.46 0.53 0.55 0.50 0.39 0.27 0.21 0.24 0.35 0.49 0.58 0.56 0.43 0.22 0.01 0.00 0.00 0.00 0.14 0.25 0.24 0.13 0.00 0.00 0.00 0.00 0.00 0.07 0.16 0.17 0.13 0.11 0.14 0.24 0.37 0.48 0.53 0.52 0.49 0.50 0.57 0.71 0.85 52.5 + 55.0 0.85 1.03 1.13 1.17 1.19 1.25 1.37 1.52 1.64 1.67 1.57 1.38 1.18 1.03 0.98 0.98 0.96 0.89 0.76 0.61 0.53 0.55 0.65 0.77 0.82 0.76 0.62 0.47 0.37 0.37 0.44 0.51 0.53 0.47 0.35 0.24 0.19 0.22 0.32 0.44 0.52 0.50 0.40 0.24 0.08 0.00 0.00 0.08 0.21 0.31 0.32 0.22 0.06 0.00 0.00 0.00 0.00 0.07 0.16 0.19 0.15 0.09 0.06 0.09 0.16 0.24 0.28 0.30 0.30 0.35 0.46 0.65 0.85 1.03 1.13 1.17 1.19 1.25 1.37 1.52 1.64 1.67 1.57 1.38 1.18 1.03 0.98 0.98 0.96 0.89 0.76 0.61 0.53 0.55 0.65 0.77 0.82 0.76 0.62 0.47 0.37 0.37 0.44 0.51 0.53 0.47 0.35 0.24 0.19 0.22 0.32 0.44 0.52 0.50 0.40 0.24 0.08 0.00 0.00 0.08 0.21 0.31 0.32 0.22 0.06 0.00 0.00 0.00 0.00 0.07 0.16 0.19 0.15 0.09 0.06 0.09 0.16 0.24 0.28 0.30 0.30 0.35 0.46 0.65 0.85 55.0 + 57.5 0.73 0.97 1.17 1.30 1.42 1.56 1.74 1.95 2.12 2.20 2.17 2.04 1.88 1.73 1.63 1.54 1.43 1.26 1.06 0.87 0.77 0.77 0.86 0.95 0.97 0.89 0.72 0.55 0.44 0.42 0.47 0.52 0.53 0.46 0.34 0.23 0.17 0.18 0.25 0.33 0.38 0.37 0.31 0.21 0.11 0.05 0.05 0.12 0.22 0.32 0.36 0.31 0.19 0.04 0.00 0.00 0.00 0.12 0.23 0.26 0.22 0.13 0.04 0.00 0.00 0.02 0.04 0.05 0.06 0.12 0.26 0.47 0.73 0.97 1.17 1.30 1.42 1.56 1.74 1.95 2.12 2.20 2.17 2.04 1.88 1.73 1.63 1.54 1.43 1.26 1.06 0.87 0.77 0.77 0.86 0.95 0.97 0.89 0.72 0.55 0.44 0.42 0.47 0.52 0.53 0.46 0.34 0.23 0.17 0.18 0.25 0.33 0.38 0.37 0.31 0.21 0.11 0.05 0.05 0.12 0.22 0.32 0.36 0.31 0.19 0.04 0.00 0.00 0.00 0.12 0.23 0.26 0.22 0.13 0.04 0.00 0.00 0.02 0.04 0.05 0.06 0.12 0.26 0.47 0.73 57.5 + 60.0 0.53 0.82 1.08 1.31 1.52 1.74 2.00 2.27 2.50 2.66 2.71 2.67 2.58 2.47 2.36 2.24 2.07 1.85 1.60 1.37 1.22 1.18 1.22 1.25 1.23 1.11 0.92 0.73 0.59 0.53 0.53 0.54 0.51 0.43 0.31 0.21 0.14 0.13 0.14 0.17 0.19 0.19 0.18 0.14 0.09 0.04 0.02 0.05 0.12 0.22 0.30 0.31 0.24 0.12 0.01 0.00 0.01 0.13 0.24 0.30 0.26 0.16 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.26 0.53 0.82 1.08 1.31 1.52 1.74 2.00 2.27 2.50 2.66 2.71 2.67 2.58 2.47 2.36 2.24 2.07 1.85 1.60 1.37 1.22 1.18 1.22 1.25 1.23 1.11 0.92 0.73 0.59 0.53 0.53 0.54 0.51 0.43 0.31 0.21 0.14 0.13 0.14 0.17 0.19 0.19 0.18 0.14 0.09 0.04 0.02 0.05 0.12 0.22 0.30 0.31 0.24 0.12 0.01 0.00 0.01 0.13 0.24 0.30 0.26 0.16 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.26 0.53 60.0 + 62.5 0.37 0.66 0.95 1.23 1.50 1.78 2.09 2.40 2.69 2.91 3.04 3.10 3.11 3.09 3.04 2.96 2.80 2.59 2.33 2.08 1.89 1.78 1.73 1.68 1.59 1.42 1.20 0.98 0.80 0.68 0.61 0.54 0.46 0.36 0.24 0.15 0.08 0.04 0.02 0.01 0.01 0.02 0.04 0.05 0.04 0.00 0.00 0.00 0.00 0.03 0.14 0.20 0.19 0.10 0.00 0.00 0.00 0.02 0.14 0.22 0.21 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.37 0.66 0.95 1.23 1.50 1.78 2.09 2.40 2.69 2.91 3.04 3.10 3.11 3.09 3.04 2.96 2.80 2.59 2.33 2.08 1.89 1.78 1.73 1.68 1.59 1.42 1.20 0.98 0.80 0.68 0.61 0.54 0.46 0.36 0.24 0.15 0.08 0.04 0.02 0.01 0.01 0.02 0.04 0.05 0.04 0.00 0.00 0.00 0.00 0.03 0.14 0.20 0.19 0.10 0.00 0.00 0.00 0.02 0.14 0.22 0.21 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.37 62.5 + 65.0 0.32 0.59 0.86 1.13 1.40 1.70 2.01 2.33 2.62 2.87 3.07 3.22 3.35 3.45 3.51 3.53 3.46 3.31 3.10 2.87 2.66 2.48 2.33 2.19 2.00 1.78 1.52 1.27 1.05 0.86 0.70 0.55 0.40 0.26 0.14 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.08 0.02 0.00 0.00 0.00 0.00 0.00 0.04 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.32 0.59 0.86 1.13 1.40 1.70 2.01 2.33 2.62 2.87 3.07 3.22 3.35 3.45 3.51 3.53 3.46 3.31 3.10 2.87 2.66 2.48 2.33 2.19 2.00 1.78 1.52 1.27 1.05 0.86 0.70 0.55 0.40 0.26 0.14 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.08 0.02 0.00 0.00 0.00 0.00 0.00 0.04 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.32 65.0 + 67.5 0.43 0.64 0.85 1.07 1.30 1.54 1.81 2.08 2.33 2.57 2.80 3.01 3.23 3.46 3.65 3.80 3.86 3.83 3.72 3.55 3.35 3.14 2.92 2.69 2.43 2.15 1.87 1.59 1.33 1.09 0.85 0.61 0.38 0.18 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.24 0.43 0.64 0.85 1.07 1.30 1.54 1.81 2.08 2.33 2.57 2.80 3.01 3.23 3.46 3.65 3.80 3.86 3.83 3.72 3.55 3.35 3.14 2.92 2.69 2.43 2.15 1.87 1.59 1.33 1.09 0.85 0.61 0.38 0.18 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.24 0.43 67.5 + 70.0 0.66 0.81 0.95 1.09 1.23 1.38 1.55 1.73 1.91 2.10 2.31 2.55 2.83 3.13 3.44 3.70 3.89 4.00 4.02 3.95 3.82 3.62 3.38 3.10 2.80 2.50 2.21 1.94 1.67 1.38 1.08 0.76 0.44 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.10 0.18 0.27 0.37 0.51 0.66 0.81 0.95 1.09 1.23 1.38 1.55 1.73 1.91 2.10 2.31 2.55 2.83 3.13 3.44 3.70 3.89 4.00 4.02 3.95 3.82 3.62 3.38 3.10 2.80 2.50 2.21 1.94 1.67 1.38 1.08 0.76 0.44 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.10 0.18 0.27 0.37 0.51 0.66 70.0 + 72.5 0.94 1.05 1.12 1.17 1.21 1.26 1.31 1.38 1.46 1.58 1.74 1.97 2.26 2.59 2.93 3.26 3.54 3.75 3.90 3.96 3.92 3.79 3.58 3.32 3.03 2.76 2.51 2.27 2.02 1.73 1.39 1.01 0.62 0.28 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.16 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.01 0.01 0.05 0.13 0.23 0.34 0.45 0.56 0.67 0.81 0.94 1.05 1.12 1.17 1.21 1.26 1.31 1.38 1.46 1.58 1.74 1.97 2.26 2.59 2.93 3.26 3.54 3.75 3.90 3.96 3.92 3.79 3.58 3.32 3.03 2.76 2.51 2.27 2.02 1.73 1.39 1.01 0.62 0.28 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.16 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.01 0.01 0.05 0.13 0.23 0.34 0.45 0.56 0.67 0.81 0.94 72.5 + 75.0 1.18 1.27 1.30 1.28 1.24 1.18 1.12 1.08 1.07 1.12 1.23 1.43 1.68 1.97 2.28 2.58 2.88 3.15 3.40 3.58 3.66 3.62 3.48 3.27 3.05 2.85 2.68 2.53 2.34 2.08 1.74 1.33 0.90 0.51 0.21 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.19 0.38 0.46 0.40 0.22 0.03 0.00 0.00 0.02 0.16 0.26 0.28 0.26 0.23 0.25 0.33 0.44 0.57 0.69 0.81 0.94 1.07 1.18 1.27 1.30 1.28 1.24 1.18 1.12 1.08 1.07 1.12 1.23 1.43 1.68 1.97 2.28 2.58 2.88 3.15 3.40 3.58 3.66 3.62 3.48 3.27 3.05 2.85 2.68 2.53 2.34 2.08 1.74 1.33 0.90 0.51 0.21 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.19 0.38 0.46 0.40 0.22 0.03 0.00 0.00 0.02 0.16 0.26 0.28 0.26 0.23 0.25 0.33 0.44 0.57 0.69 0.81 0.94 1.07 1.18 75.0 + 77.5 1.35 1.42 1.43 1.38 1.27 1.13 0.97 0.84 0.77 0.77 0.87 1.03 1.23 1.43 1.63 1.84 2.07 2.35 2.65 2.92 3.09 3.15 3.08 2.94 2.81 2.71 2.66 2.62 2.53 2.33 2.02 1.63 1.22 0.85 0.55 0.34 0.19 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.11 0.28 0.52 0.73 0.82 0.76 0.57 0.36 0.23 0.25 0.38 0.53 0.62 0.62 0.54 0.47 0.45 0.50 0.62 0.76 0.89 1.01 1.13 1.25 1.35 1.42 1.43 1.38 1.27 1.13 0.97 0.84 0.77 0.77 0.87 1.03 1.23 1.43 1.63 1.84 2.07 2.35 2.65 2.92 3.09 3.15 3.08 2.94 2.81 2.71 2.66 2.62 2.53 2.33 2.02 1.63 1.22 0.85 0.55 0.34 0.19 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.11 0.28 0.52 0.73 0.82 0.76 0.57 0.36 0.23 0.25 0.38 0.53 0.62 0.62 0.54 0.47 0.45 0.50 0.62 0.76 0.89 1.01 1.13 1.25 1.35 77.5 + 80.0 1.42 1.48 1.49 1.43 1.29 1.09 0.86 0.67 0.55 0.55 0.66 0.81 0.96 1.06 1.11 1.17 1.29 1.52 1.83 2.15 2.39 2.49 2.47 2.39 2.33 2.34 2.42 2.51 2.52 2.41 2.17 1.85 1.51 1.23 1.02 0.85 0.69 0.48 0.22 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.16 0.22 0.33 0.53 0.80 1.04 1.15 1.07 0.86 0.64 0.51 0.55 0.71 0.88 0.97 0.92 0.78 0.64 0.57 0.61 0.73 0.89 1.04 1.15 1.25 1.34 1.42 1.48 1.49 1.43 1.29 1.09 0.86 0.67 0.55 0.55 0.66 0.81 0.96 1.06 1.11 1.17 1.29 1.52 1.83 2.15 2.39 2.49 2.47 2.39 2.33 2.34 2.42 2.51 2.52 2.41 2.17 1.85 1.51 1.23 1.02 0.85 0.69 0.48 0.22 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.16 0.22 0.33 0.53 0.80 1.04 1.15 1.07 0.86 0.64 0.51 0.55 0.71 0.88 0.97 0.92 0.78 0.64 0.57 0.61 0.73 0.89 1.04 1.15 1.25 1.34 1.42 80.0 + 82.5 1.42 1.47 1.49 1.44 1.28 1.04 0.77 0.54 0.41 0.44 0.58 0.75 0.87 0.87 0.78 0.67 0.67 0.83 1.12 1.46 1.71 1.82 1.80 1.73 1.71 1.81 2.00 2.20 2.31 2.27 2.12 1.90 1.70 1.58 1.52 1.46 1.33 1.08 0.72 0.33 0.01 0.00 0.00 0.00 0.16 0.27 0.32 0.35 0.45 0.66 0.96 1.22 1.34 1.25 1.01 0.77 0.65 0.72 0.92 1.13 1.21 1.12 0.92 0.71 0.60 0.63 0.78 0.97 1.13 1.24 1.31 1.36 1.42 1.47 1.49 1.44 1.28 1.04 0.77 0.54 0.41 0.44 0.58 0.75 0.87 0.87 0.78 0.67 0.67 0.83 1.12 1.46 1.71 1.82 1.80 1.73 1.71 1.81 2.00 2.20 2.31 2.27 2.12 1.90 1.70 1.58 1.52 1.46 1.33 1.08 0.72 0.33 0.01 0.00 0.00 0.00 0.16 0.27 0.32 0.35 0.45 0.66 0.96 1.22 1.34 1.25 1.01 0.77 0.65 0.72 0.92 1.13 1.21 1.12 0.92 0.71 0.60 0.63 0.78 0.97 1.13 1.24 1.31 1.36 1.42 82.5 + 85.0 1.38 1.42 1.45 1.42 1.27 1.01 0.70 0.45 0.33 0.40 0.59 0.80 0.91 0.84 0.63 0.40 0.30 0.39 0.67 0.99 1.23 1.30 1.23 1.13 1.12 1.26 1.51 1.77 1.94 1.96 1.87 1.77 1.73 1.81 1.94 2.03 1.98 1.72 1.30 0.81 0.41 0.20 0.18 0.29 0.42 0.47 0.44 0.40 0.46 0.66 0.96 1.23 1.34 1.23 0.97 0.72 0.62 0.73 0.98 1.22 1.31 1.19 0.94 0.68 0.54 0.58 0.77 1.00 1.19 1.30 1.34 1.35 1.38 1.42 1.45 1.42 1.27 1.01 0.70 0.45 0.33 0.40 0.59 0.80 0.91 0.84 0.63 0.40 0.30 0.39 0.67 0.99 1.23 1.30 1.23 1.13 1.12 1.26 1.51 1.77 1.94 1.96 1.87 1.77 1.73 1.81 1.94 2.03 1.98 1.72 1.30 0.81 0.41 0.20 0.18 0.29 0.42 0.47 0.44 0.40 0.46 0.66 0.96 1.23 1.34 1.23 0.97 0.72 0.62 0.73 0.98 1.22 1.31 1.19 0.94 0.68 0.54 0.58 0.77 1.00 1.19 1.30 1.34 1.35 1.38 85.0 + 87.5 1.34 1.37 1.41 1.39 1.25 0.99 0.67 0.41 0.32 0.42 0.66 0.92 1.03 0.92 0.65 0.35 0.18 0.24 0.50 0.81 1.01 1.03 0.89 0.73 0.69 0.82 1.07 1.34 1.51 1.54 1.50 1.48 1.59 1.84 2.17 2.42 2.46 2.24 1.81 1.30 0.87 0.63 0.59 0.67 0.73 0.69 0.57 0.44 0.43 0.59 0.87 1.11 1.20 1.06 0.79 0.53 0.45 0.60 0.90 1.18 1.28 1.15 0.87 0.59 0.44 0.50 0.72 1.00 1.22 1.33 1.36 1.34 1.34 1.37 1.41 1.39 1.25 0.99 0.67 0.41 0.32 0.42 0.66 0.92 1.03 0.92 0.65 0.35 0.18 0.24 0.50 0.81 1.01 1.03 0.89 0.73 0.69 0.82 1.07 1.34 1.51 1.54 1.50 1.48 1.59 1.84 2.17 2.42 2.46 2.24 1.81 1.30 0.87 0.63 0.59 0.67 0.73 0.69 0.57 0.44 0.43 0.59 0.87 1.11 1.20 1.06 0.79 0.53 0.45 0.60 0.90 1.18 1.28 1.15 0.87 0.59 0.44 0.50 0.72 1.00 1.22 1.33 1.36 1.34 1.34 87.5 + 90.0 1.32 1.34 1.38 1.36 1.23 0.99 0.68 0.44 0.36 0.49 0.77 1.04 1.17 1.06 0.76 0.44 0.27 0.33 0.58 0.87 1.04 1.00 0.80 0.57 0.47 0.55 0.76 0.97 1.09 1.09 1.05 1.08 1.28 1.67 2.12 2.50 2.64 2.50 2.12 1.67 1.28 1.08 1.05 1.09 1.09 0.97 0.76 0.55 0.47 0.57 0.80 1.00 1.04 0.87 0.58 0.33 0.27 0.44 0.76 1.06 1.17 1.04 0.77 0.49 0.36 0.44 0.68 0.99 1.23 1.36 1.38 1.34 1.32 1.34 1.38 1.36 1.23 0.99 0.68 0.44 0.36 0.49 0.77 1.04 1.17 1.06 0.76 0.44 0.27 0.33 0.58 0.87 1.04 1.00 0.80 0.57 0.47 0.55 0.76 0.97 1.09 1.09 1.05 1.08 1.28 1.67 2.12 2.50 2.64 2.50 2.12 1.67 1.28 1.08 1.05 1.09 1.09 0.97 0.76 0.55 0.47 0.57 0.80 1.00 1.04 0.87 0.58 0.33 0.27 0.44 0.76 1.06 1.17 1.04 0.77 0.49 0.36 0.44 0.68 0.99 1.23 1.36 1.38 1.34 1.32 90.0 + + 27.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 4.99 ) PHI2 = 28. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.0 + 2.5 0.36 0.36 0.35 0.26 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.38 0.40 0.39 0.41 0.50 0.65 0.84 1.05 1.27 1.51 1.76 1.99 2.17 2.24 2.20 2.05 1.83 1.59 1.36 1.13 0.92 0.72 0.55 0.45 0.41 0.40 0.37 0.25 0.05 0.00 0.00 0.00 0.00 0.00 0.04 0.23 0.34 0.37 0.38 0.43 0.55 0.72 0.93 1.15 1.37 1.61 1.86 2.09 2.25 2.29 2.21 2.03 1.78 1.53 1.28 1.06 0.85 0.65 0.49 0.39 0.36 0.36 0.35 0.26 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.38 0.40 0.39 0.41 0.50 0.65 0.84 1.05 1.27 1.51 1.76 1.99 2.17 2.24 2.20 2.05 1.83 1.59 1.36 1.13 0.92 0.72 0.55 0.45 0.41 0.40 0.37 0.25 0.05 0.00 0.00 0.00 0.00 0.00 0.04 0.23 0.34 0.37 0.38 0.43 0.55 0.72 0.93 1.15 1.37 1.61 1.86 2.09 2.25 2.29 2.21 2.03 1.78 1.53 1.28 1.06 0.85 0.65 0.49 0.39 0.36 2.5 + 5.0 0.29 0.34 0.39 0.37 0.26 0.09 0.00 0.00 0.00 0.06 0.27 0.43 0.50 0.48 0.42 0.38 0.40 0.51 0.67 0.88 1.12 1.38 1.65 1.92 2.13 2.25 2.24 2.13 1.92 1.68 1.42 1.17 0.94 0.74 0.60 0.52 0.50 0.50 0.46 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.16 0.31 0.38 0.40 0.42 0.48 0.61 0.79 1.01 1.24 1.49 1.77 2.04 2.28 2.42 2.44 2.30 2.05 1.74 1.43 1.15 0.91 0.69 0.50 0.36 0.29 0.29 0.34 0.39 0.37 0.26 0.09 0.00 0.00 0.00 0.06 0.27 0.43 0.50 0.48 0.42 0.38 0.40 0.51 0.67 0.88 1.12 1.38 1.65 1.92 2.13 2.25 2.24 2.13 1.92 1.68 1.42 1.17 0.94 0.74 0.60 0.52 0.50 0.50 0.46 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.16 0.31 0.38 0.40 0.42 0.48 0.61 0.79 1.01 1.24 1.49 1.77 2.04 2.28 2.42 2.44 2.30 2.05 1.74 1.43 1.15 0.91 0.69 0.50 0.36 0.29 0.29 5.0 + 7.5 0.24 0.34 0.45 0.50 0.47 0.37 0.24 0.16 0.19 0.30 0.47 0.60 0.65 0.60 0.49 0.38 0.33 0.37 0.50 0.70 0.95 1.23 1.52 1.80 2.04 2.21 2.26 2.19 2.01 1.76 1.48 1.20 0.97 0.79 0.69 0.66 0.67 0.69 0.65 0.53 0.35 0.16 0.04 0.03 0.13 0.29 0.45 0.55 0.58 0.58 0.60 0.67 0.81 0.99 1.20 1.44 1.70 1.99 2.28 2.51 2.63 2.58 2.37 2.04 1.66 1.29 0.98 0.73 0.52 0.35 0.24 0.20 0.24 0.34 0.45 0.50 0.47 0.37 0.24 0.16 0.19 0.30 0.47 0.60 0.65 0.60 0.49 0.38 0.33 0.37 0.50 0.70 0.95 1.23 1.52 1.80 2.04 2.21 2.26 2.19 2.01 1.76 1.48 1.20 0.97 0.79 0.69 0.66 0.67 0.69 0.65 0.53 0.35 0.16 0.04 0.03 0.13 0.29 0.45 0.55 0.58 0.58 0.60 0.67 0.81 0.99 1.20 1.44 1.70 1.99 2.28 2.51 2.63 2.58 2.37 2.04 1.66 1.29 0.98 0.73 0.52 0.35 0.24 0.20 0.24 7.5 + 10.0 0.25 0.37 0.51 0.62 0.66 0.61 0.51 0.42 0.40 0.48 0.61 0.73 0.79 0.74 0.60 0.45 0.34 0.32 0.41 0.59 0.83 1.10 1.37 1.65 1.90 2.09 2.19 2.17 2.04 1.80 1.51 1.23 0.99 0.85 0.80 0.84 0.91 0.96 0.93 0.83 0.67 0.52 0.46 0.50 0.63 0.80 0.92 0.98 0.98 0.96 0.98 1.06 1.18 1.34 1.52 1.73 1.96 2.24 2.50 2.70 2.76 2.65 2.36 1.96 1.52 1.12 0.81 0.57 0.40 0.27 0.20 0.19 0.25 0.37 0.51 0.62 0.66 0.61 0.51 0.42 0.40 0.48 0.61 0.73 0.79 0.74 0.60 0.45 0.34 0.32 0.41 0.59 0.83 1.10 1.37 1.65 1.90 2.09 2.19 2.17 2.04 1.80 1.51 1.23 0.99 0.85 0.80 0.84 0.91 0.96 0.93 0.83 0.67 0.52 0.46 0.50 0.63 0.80 0.92 0.98 0.98 0.96 0.98 1.06 1.18 1.34 1.52 1.73 1.96 2.24 2.50 2.70 2.76 2.65 2.36 1.96 1.52 1.12 0.81 0.57 0.40 0.27 0.20 0.19 0.25 10.0 + 12.5 0.30 0.42 0.56 0.69 0.77 0.75 0.67 0.56 0.50 0.53 0.64 0.77 0.86 0.85 0.73 0.57 0.42 0.37 0.42 0.57 0.78 1.01 1.25 1.48 1.71 1.92 2.06 2.09 2.00 1.79 1.51 1.23 1.01 0.90 0.92 1.02 1.15 1.24 1.24 1.15 1.01 0.91 0.91 1.01 1.19 1.36 1.47 1.50 1.47 1.44 1.46 1.54 1.65 1.78 1.91 2.05 2.23 2.43 2.63 2.76 2.75 2.56 2.21 1.77 1.32 0.93 0.65 0.46 0.34 0.27 0.23 0.24 0.30 0.42 0.56 0.69 0.77 0.75 0.67 0.56 0.50 0.53 0.64 0.77 0.86 0.85 0.73 0.57 0.42 0.37 0.42 0.57 0.78 1.01 1.25 1.48 1.71 1.92 2.06 2.09 2.00 1.79 1.51 1.23 1.01 0.90 0.92 1.02 1.15 1.24 1.24 1.15 1.01 0.91 0.91 1.01 1.19 1.36 1.47 1.50 1.47 1.44 1.46 1.54 1.65 1.78 1.91 2.05 2.23 2.43 2.63 2.76 2.75 2.56 2.21 1.77 1.32 0.93 0.65 0.46 0.34 0.27 0.23 0.24 0.30 12.5 + 15.0 0.36 0.45 0.57 0.71 0.80 0.81 0.73 0.60 0.50 0.48 0.56 0.71 0.84 0.89 0.83 0.69 0.54 0.46 0.49 0.61 0.78 0.97 1.15 1.33 1.53 1.73 1.90 1.97 1.93 1.75 1.49 1.22 1.01 0.93 0.98 1.14 1.31 1.44 1.46 1.38 1.27 1.21 1.25 1.40 1.61 1.80 1.90 1.90 1.86 1.83 1.85 1.93 2.04 2.14 2.23 2.31 2.40 2.52 2.62 2.66 2.56 2.31 1.93 1.49 1.07 0.72 0.49 0.36 0.31 0.29 0.29 0.31 0.36 0.45 0.57 0.71 0.80 0.81 0.73 0.60 0.50 0.48 0.56 0.71 0.84 0.89 0.83 0.69 0.54 0.46 0.49 0.61 0.78 0.97 1.15 1.33 1.53 1.73 1.90 1.97 1.93 1.75 1.49 1.22 1.01 0.93 0.98 1.14 1.31 1.44 1.46 1.38 1.27 1.21 1.25 1.40 1.61 1.80 1.90 1.90 1.86 1.83 1.85 1.93 2.04 2.14 2.23 2.31 2.40 2.52 2.62 2.66 2.56 2.31 1.93 1.49 1.07 0.72 0.49 0.36 0.31 0.29 0.29 0.31 0.36 15.0 + 17.5 0.36 0.42 0.53 0.66 0.77 0.81 0.75 0.61 0.46 0.38 0.43 0.57 0.74 0.85 0.85 0.75 0.62 0.54 0.55 0.64 0.79 0.94 1.08 1.23 1.40 1.59 1.77 1.88 1.88 1.73 1.49 1.21 1.00 0.91 0.96 1.13 1.32 1.47 1.51 1.46 1.37 1.33 1.40 1.57 1.80 1.98 2.08 2.07 2.01 1.97 2.00 2.09 2.22 2.32 2.39 2.42 2.44 2.46 2.45 2.39 2.22 1.93 1.56 1.15 0.77 0.49 0.31 0.24 0.23 0.27 0.30 0.32 0.36 0.42 0.53 0.66 0.77 0.81 0.75 0.61 0.46 0.38 0.43 0.57 0.74 0.85 0.85 0.75 0.62 0.54 0.55 0.64 0.79 0.94 1.08 1.23 1.40 1.59 1.77 1.88 1.88 1.73 1.49 1.21 1.00 0.91 0.96 1.13 1.32 1.47 1.51 1.46 1.37 1.33 1.40 1.57 1.80 1.98 2.08 2.07 2.01 1.97 2.00 2.09 2.22 2.32 2.39 2.42 2.44 2.46 2.45 2.39 2.22 1.93 1.56 1.15 0.77 0.49 0.31 0.24 0.23 0.27 0.30 0.32 0.36 17.5 + 20.0 0.28 0.33 0.43 0.58 0.73 0.81 0.78 0.63 0.44 0.31 0.30 0.43 0.61 0.76 0.80 0.74 0.63 0.55 0.55 0.63 0.77 0.91 1.04 1.18 1.34 1.52 1.71 1.84 1.85 1.73 1.50 1.22 0.98 0.86 0.88 1.01 1.19 1.34 1.41 1.39 1.34 1.32 1.40 1.57 1.79 1.97 2.06 2.04 1.97 1.91 1.94 2.04 2.19 2.31 2.38 2.39 2.35 2.27 2.16 2.00 1.78 1.48 1.14 0.79 0.48 0.24 0.10 0.06 0.09 0.15 0.21 0.25 0.28 0.33 0.43 0.58 0.73 0.81 0.78 0.63 0.44 0.31 0.30 0.43 0.61 0.76 0.80 0.74 0.63 0.55 0.55 0.63 0.77 0.91 1.04 1.18 1.34 1.52 1.71 1.84 1.85 1.73 1.50 1.22 0.98 0.86 0.88 1.01 1.19 1.34 1.41 1.39 1.34 1.32 1.40 1.57 1.79 1.97 2.06 2.04 1.97 1.91 1.94 2.04 2.19 2.31 2.38 2.39 2.35 2.27 2.16 2.00 1.78 1.48 1.14 0.79 0.48 0.24 0.10 0.06 0.09 0.15 0.21 0.25 0.28 20.0 + 22.5 0.15 0.20 0.31 0.48 0.67 0.81 0.82 0.69 0.48 0.30 0.24 0.31 0.48 0.65 0.72 0.69 0.59 0.51 0.50 0.58 0.72 0.87 1.01 1.16 1.31 1.50 1.67 1.80 1.82 1.72 1.50 1.23 0.98 0.81 0.77 0.85 1.00 1.15 1.25 1.28 1.28 1.30 1.40 1.58 1.79 1.98 2.06 2.04 1.96 1.89 1.89 1.97 2.11 2.24 2.31 2.29 2.19 2.02 1.81 1.58 1.31 1.04 0.75 0.47 0.22 0.01 0.00 0.00 0.00 0.00 0.05 0.11 0.15 0.20 0.31 0.48 0.67 0.81 0.82 0.69 0.48 0.30 0.24 0.31 0.48 0.65 0.72 0.69 0.59 0.51 0.50 0.58 0.72 0.87 1.01 1.16 1.31 1.50 1.67 1.80 1.82 1.72 1.50 1.23 0.98 0.81 0.77 0.85 1.00 1.15 1.25 1.28 1.28 1.30 1.40 1.58 1.79 1.98 2.06 2.04 1.96 1.89 1.89 1.97 2.11 2.24 2.31 2.29 2.19 2.02 1.81 1.58 1.31 1.04 0.75 0.47 0.22 0.01 0.00 0.00 0.00 0.00 0.05 0.11 0.15 22.5 + 25.0 0.04 0.09 0.20 0.38 0.61 0.79 0.86 0.76 0.55 0.34 0.22 0.26 0.40 0.57 0.66 0.64 0.56 0.47 0.46 0.53 0.66 0.82 0.97 1.12 1.27 1.43 1.58 1.69 1.71 1.63 1.45 1.21 0.98 0.80 0.72 0.74 0.85 1.01 1.15 1.26 1.34 1.43 1.57 1.78 2.02 2.22 2.34 2.34 2.26 2.16 2.11 2.13 2.21 2.30 2.32 2.25 2.07 1.81 1.50 1.19 0.91 0.66 0.43 0.22 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.09 0.20 0.38 0.61 0.79 0.86 0.76 0.55 0.34 0.22 0.26 0.40 0.57 0.66 0.64 0.56 0.47 0.46 0.53 0.66 0.82 0.97 1.12 1.27 1.43 1.58 1.69 1.71 1.63 1.45 1.21 0.98 0.80 0.72 0.74 0.85 1.01 1.15 1.26 1.34 1.43 1.57 1.78 2.02 2.22 2.34 2.34 2.26 2.16 2.11 2.13 2.21 2.30 2.32 2.25 2.07 1.81 1.50 1.19 0.91 0.66 0.43 0.22 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 25.0 + 27.5 0.00 0.03 0.11 0.28 0.51 0.73 0.84 0.78 0.60 0.38 0.25 0.25 0.38 0.53 0.63 0.63 0.56 0.48 0.45 0.50 0.61 0.76 0.89 1.02 1.14 1.26 1.37 1.44 1.46 1.41 1.30 1.15 0.98 0.84 0.75 0.75 0.84 0.99 1.18 1.38 1.56 1.75 1.97 2.23 2.53 2.80 2.98 3.04 2.99 2.86 2.73 2.65 2.61 2.59 2.52 2.35 2.06 1.69 1.29 0.92 0.62 0.40 0.23 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.11 0.28 0.51 0.73 0.84 0.78 0.60 0.38 0.25 0.25 0.38 0.53 0.63 0.63 0.56 0.48 0.45 0.50 0.61 0.76 0.89 1.02 1.14 1.26 1.37 1.44 1.46 1.41 1.30 1.15 0.98 0.84 0.75 0.75 0.84 0.99 1.18 1.38 1.56 1.75 1.97 2.23 2.53 2.80 2.98 3.04 2.99 2.86 2.73 2.65 2.61 2.59 2.52 2.35 2.06 1.69 1.29 0.92 0.62 0.40 0.23 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 27.5 + 30.0 0.02 0.03 0.06 0.18 0.39 0.61 0.75 0.74 0.60 0.41 0.27 0.27 0.37 0.52 0.63 0.65 0.60 0.52 0.47 0.49 0.56 0.66 0.75 0.84 0.91 0.98 1.04 1.08 1.10 1.09 1.07 1.04 0.98 0.92 0.87 0.87 0.94 1.09 1.32 1.59 1.87 2.16 2.47 2.80 3.17 3.53 3.81 3.96 3.95 3.81 3.61 3.40 3.22 3.05 2.85 2.56 2.17 1.69 1.21 0.78 0.47 0.28 0.15 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.03 0.06 0.18 0.39 0.61 0.75 0.74 0.60 0.41 0.27 0.27 0.37 0.52 0.63 0.65 0.60 0.52 0.47 0.49 0.56 0.66 0.75 0.84 0.91 0.98 1.04 1.08 1.10 1.09 1.07 1.04 0.98 0.92 0.87 0.87 0.94 1.09 1.32 1.59 1.87 2.16 2.47 2.80 3.17 3.53 3.81 3.96 3.95 3.81 3.61 3.40 3.22 3.05 2.85 2.56 2.17 1.69 1.21 0.78 0.47 0.28 0.15 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 30.0 + 32.5 0.10 0.05 0.02 0.08 0.23 0.44 0.60 0.64 0.55 0.40 0.28 0.27 0.36 0.50 0.62 0.67 0.64 0.57 0.51 0.48 0.49 0.52 0.56 0.59 0.62 0.64 0.66 0.68 0.69 0.74 0.80 0.89 0.97 1.01 1.02 1.02 1.07 1.21 1.44 1.75 2.10 2.45 2.82 3.21 3.63 4.06 4.44 4.69 4.75 4.64 4.39 4.09 3.78 3.48 3.16 2.78 2.31 1.77 1.24 0.79 0.47 0.30 0.20 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.10 0.05 0.02 0.08 0.23 0.44 0.60 0.64 0.55 0.40 0.28 0.27 0.36 0.50 0.62 0.67 0.64 0.57 0.51 0.48 0.49 0.52 0.56 0.59 0.62 0.64 0.66 0.68 0.69 0.74 0.80 0.89 0.97 1.01 1.02 1.02 1.07 1.21 1.44 1.75 2.10 2.45 2.82 3.21 3.63 4.06 4.44 4.69 4.75 4.64 4.39 4.09 3.78 3.48 3.16 2.78 2.31 1.77 1.24 0.79 0.47 0.30 0.20 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.10 32.5 + 35.0 0.16 0.07 0.00 0.00 0.08 0.26 0.43 0.51 0.48 0.36 0.26 0.23 0.31 0.44 0.56 0.64 0.64 0.59 0.52 0.45 0.40 0.37 0.36 0.36 0.36 0.37 0.36 0.36 0.37 0.44 0.57 0.75 0.93 1.06 1.12 1.12 1.14 1.23 1.43 1.73 2.08 2.45 2.81 3.20 3.62 4.08 4.52 4.85 4.99 4.93 4.68 4.34 3.97 3.62 3.25 2.85 2.37 1.84 1.31 0.88 0.58 0.41 0.33 0.25 0.11 0.00 0.00 0.00 0.00 0.00 0.05 0.16 0.16 0.07 0.00 0.00 0.08 0.26 0.43 0.51 0.48 0.36 0.26 0.23 0.31 0.44 0.56 0.64 0.64 0.59 0.52 0.45 0.40 0.37 0.36 0.36 0.36 0.37 0.36 0.36 0.37 0.44 0.57 0.75 0.93 1.06 1.12 1.12 1.14 1.23 1.43 1.73 2.08 2.45 2.81 3.20 3.62 4.08 4.52 4.85 4.99 4.93 4.68 4.34 3.97 3.62 3.25 2.85 2.37 1.84 1.31 0.88 0.58 0.41 0.33 0.25 0.11 0.00 0.00 0.00 0.00 0.00 0.05 0.16 0.16 35.0 + 37.5 0.17 0.05 0.00 0.00 0.00 0.11 0.29 0.41 0.41 0.33 0.22 0.17 0.21 0.32 0.45 0.56 0.60 0.58 0.50 0.41 0.31 0.24 0.21 0.20 0.22 0.23 0.23 0.21 0.22 0.28 0.43 0.65 0.88 1.05 1.12 1.11 1.08 1.11 1.25 1.50 1.80 2.10 2.40 2.71 3.06 3.48 3.92 4.28 4.49 4.49 4.29 3.98 3.63 3.30 2.99 2.65 2.25 1.80 1.34 0.96 0.70 0.56 0.49 0.42 0.29 0.10 0.00 0.00 0.00 0.00 0.11 0.19 0.17 0.05 0.00 0.00 0.00 0.11 0.29 0.41 0.41 0.33 0.22 0.17 0.21 0.32 0.45 0.56 0.60 0.58 0.50 0.41 0.31 0.24 0.21 0.20 0.22 0.23 0.23 0.21 0.22 0.28 0.43 0.65 0.88 1.05 1.12 1.11 1.08 1.11 1.25 1.50 1.80 2.10 2.40 2.71 3.06 3.48 3.92 4.28 4.49 4.49 4.29 3.98 3.63 3.30 2.99 2.65 2.25 1.80 1.34 0.96 0.70 0.56 0.49 0.42 0.29 0.10 0.00 0.00 0.00 0.00 0.11 0.19 0.17 37.5 + 40.0 0.14 0.02 0.00 0.00 0.00 0.00 0.19 0.33 0.36 0.29 0.17 0.08 0.08 0.17 0.32 0.46 0.55 0.56 0.49 0.38 0.26 0.18 0.15 0.17 0.22 0.26 0.27 0.25 0.23 0.27 0.40 0.60 0.82 0.97 1.02 0.98 0.90 0.88 0.96 1.14 1.35 1.55 1.72 1.89 2.11 2.42 2.80 3.16 3.39 3.44 3.32 3.08 2.81 2.57 2.38 2.17 1.92 1.60 1.27 0.97 0.76 0.66 0.62 0.57 0.46 0.28 0.10 0.00 0.00 0.02 0.12 0.18 0.14 0.02 0.00 0.00 0.00 0.00 0.19 0.33 0.36 0.29 0.17 0.08 0.08 0.17 0.32 0.46 0.55 0.56 0.49 0.38 0.26 0.18 0.15 0.17 0.22 0.26 0.27 0.25 0.23 0.27 0.40 0.60 0.82 0.97 1.02 0.98 0.90 0.88 0.96 1.14 1.35 1.55 1.72 1.89 2.11 2.42 2.80 3.16 3.39 3.44 3.32 3.08 2.81 2.57 2.38 2.17 1.92 1.60 1.27 0.97 0.76 0.66 0.62 0.57 0.46 0.28 0.10 0.00 0.00 0.02 0.12 0.18 0.14 40.0 + 42.5 0.13 0.01 0.00 0.00 0.00 0.00 0.12 0.27 0.31 0.24 0.10 0.00 0.00 0.02 0.19 0.38 0.52 0.56 0.51 0.38 0.26 0.18 0.18 0.25 0.34 0.40 0.41 0.38 0.34 0.35 0.43 0.59 0.75 0.85 0.86 0.78 0.68 0.63 0.68 0.80 0.93 1.01 1.03 1.03 1.09 1.27 1.55 1.85 2.08 2.17 2.09 1.93 1.75 1.63 1.57 1.52 1.43 1.27 1.06 0.85 0.72 0.66 0.66 0.65 0.58 0.44 0.27 0.12 0.06 0.08 0.14 0.18 0.13 0.01 0.00 0.00 0.00 0.00 0.12 0.27 0.31 0.24 0.10 0.00 0.00 0.02 0.19 0.38 0.52 0.56 0.51 0.38 0.26 0.18 0.18 0.25 0.34 0.40 0.41 0.38 0.34 0.35 0.43 0.59 0.75 0.85 0.86 0.78 0.68 0.63 0.68 0.80 0.93 1.01 1.03 1.03 1.09 1.27 1.55 1.85 2.08 2.17 2.09 1.93 1.75 1.63 1.57 1.52 1.43 1.27 1.06 0.85 0.72 0.66 0.66 0.65 0.58 0.44 0.27 0.12 0.06 0.08 0.14 0.18 0.13 42.5 + 45.0 0.18 0.07 0.00 0.00 0.00 0.00 0.08 0.23 0.28 0.20 0.04 0.00 0.00 0.00 0.11 0.35 0.53 0.59 0.54 0.41 0.29 0.24 0.28 0.38 0.49 0.56 0.56 0.51 0.45 0.44 0.50 0.60 0.70 0.73 0.68 0.57 0.48 0.45 0.50 0.60 0.67 0.65 0.54 0.40 0.31 0.36 0.54 0.79 0.99 1.07 1.02 0.89 0.77 0.73 0.77 0.85 0.89 0.86 0.76 0.64 0.57 0.56 0.60 0.65 0.64 0.56 0.41 0.27 0.19 0.17 0.21 0.23 0.18 0.07 0.00 0.00 0.00 0.00 0.08 0.23 0.28 0.20 0.04 0.00 0.00 0.00 0.11 0.35 0.53 0.59 0.54 0.41 0.29 0.24 0.28 0.38 0.49 0.56 0.56 0.51 0.45 0.44 0.50 0.60 0.70 0.73 0.68 0.57 0.48 0.45 0.50 0.60 0.67 0.65 0.54 0.40 0.31 0.36 0.54 0.79 0.99 1.07 1.02 0.89 0.77 0.73 0.77 0.85 0.89 0.86 0.76 0.64 0.57 0.56 0.60 0.65 0.64 0.56 0.41 0.27 0.19 0.17 0.21 0.23 0.18 45.0 + 47.5 0.32 0.22 0.07 0.00 0.00 0.00 0.10 0.23 0.27 0.19 0.02 0.00 0.00 0.00 0.09 0.35 0.54 0.61 0.55 0.43 0.33 0.30 0.37 0.49 0.60 0.65 0.62 0.56 0.50 0.50 0.55 0.63 0.67 0.63 0.54 0.42 0.34 0.36 0.45 0.56 0.60 0.52 0.32 0.08 0.00 0.00 0.00 0.18 0.35 0.41 0.35 0.22 0.12 0.10 0.18 0.32 0.44 0.50 0.47 0.41 0.38 0.40 0.48 0.58 0.63 0.60 0.50 0.39 0.30 0.28 0.31 0.34 0.32 0.22 0.07 0.00 0.00 0.00 0.10 0.23 0.27 0.19 0.02 0.00 0.00 0.00 0.09 0.35 0.54 0.61 0.55 0.43 0.33 0.30 0.37 0.49 0.60 0.65 0.62 0.56 0.50 0.50 0.55 0.63 0.67 0.63 0.54 0.42 0.34 0.36 0.45 0.56 0.60 0.52 0.32 0.08 0.00 0.00 0.00 0.18 0.35 0.41 0.35 0.22 0.12 0.10 0.18 0.32 0.44 0.50 0.47 0.41 0.38 0.40 0.48 0.58 0.63 0.60 0.50 0.39 0.30 0.28 0.31 0.34 0.32 47.5 + 50.0 0.50 0.43 0.29 0.15 0.07 0.09 0.20 0.31 0.34 0.26 0.10 0.00 0.00 0.00 0.14 0.38 0.56 0.60 0.52 0.40 0.32 0.34 0.44 0.57 0.66 0.67 0.61 0.53 0.50 0.53 0.60 0.67 0.67 0.59 0.45 0.32 0.28 0.34 0.47 0.60 0.63 0.53 0.30 0.04 0.00 0.00 0.00 0.03 0.17 0.21 0.13 0.00 0.00 0.00 0.00 0.02 0.17 0.26 0.28 0.26 0.24 0.27 0.36 0.47 0.55 0.56 0.51 0.42 0.36 0.37 0.42 0.48 0.50 0.43 0.29 0.15 0.07 0.09 0.20 0.31 0.34 0.26 0.10 0.00 0.00 0.00 0.14 0.38 0.56 0.60 0.52 0.40 0.32 0.34 0.44 0.57 0.66 0.67 0.61 0.53 0.50 0.53 0.60 0.67 0.67 0.59 0.45 0.32 0.28 0.34 0.47 0.60 0.63 0.53 0.30 0.04 0.00 0.00 0.00 0.03 0.17 0.21 0.13 0.00 0.00 0.00 0.00 0.02 0.17 0.26 0.28 0.26 0.24 0.27 0.36 0.47 0.55 0.56 0.51 0.42 0.36 0.37 0.42 0.48 0.50 50.0 + 52.5 0.66 0.64 0.54 0.41 0.32 0.33 0.41 0.51 0.55 0.48 0.33 0.17 0.09 0.14 0.30 0.48 0.59 0.58 0.48 0.36 0.30 0.35 0.49 0.62 0.69 0.66 0.57 0.49 0.48 0.55 0.65 0.72 0.70 0.58 0.41 0.27 0.24 0.32 0.47 0.61 0.65 0.55 0.34 0.11 0.00 0.00 0.00 0.14 0.27 0.31 0.23 0.07 0.00 0.00 0.00 0.00 0.10 0.20 0.24 0.23 0.21 0.22 0.28 0.36 0.43 0.45 0.42 0.36 0.34 0.38 0.48 0.59 0.66 0.64 0.54 0.41 0.32 0.33 0.41 0.51 0.55 0.48 0.33 0.17 0.09 0.14 0.30 0.48 0.59 0.58 0.48 0.36 0.30 0.35 0.49 0.62 0.69 0.66 0.57 0.49 0.48 0.55 0.65 0.72 0.70 0.58 0.41 0.27 0.24 0.32 0.47 0.61 0.65 0.55 0.34 0.11 0.00 0.00 0.00 0.14 0.27 0.31 0.23 0.07 0.00 0.00 0.00 0.00 0.10 0.20 0.24 0.23 0.21 0.22 0.28 0.36 0.43 0.45 0.42 0.36 0.34 0.38 0.48 0.59 0.66 52.5 + 55.0 0.75 0.80 0.76 0.68 0.63 0.65 0.74 0.85 0.90 0.86 0.73 0.58 0.49 0.51 0.60 0.69 0.72 0.64 0.50 0.37 0.34 0.42 0.57 0.70 0.74 0.69 0.58 0.49 0.49 0.58 0.70 0.77 0.73 0.58 0.39 0.24 0.20 0.27 0.41 0.53 0.57 0.50 0.35 0.18 0.06 0.05 0.14 0.29 0.43 0.48 0.43 0.29 0.13 0.02 0.00 0.06 0.17 0.27 0.32 0.31 0.27 0.24 0.24 0.27 0.29 0.29 0.25 0.22 0.22 0.30 0.44 0.62 0.75 0.80 0.76 0.68 0.63 0.65 0.74 0.85 0.90 0.86 0.73 0.58 0.49 0.51 0.60 0.69 0.72 0.64 0.50 0.37 0.34 0.42 0.57 0.70 0.74 0.69 0.58 0.49 0.49 0.58 0.70 0.77 0.73 0.58 0.39 0.24 0.20 0.27 0.41 0.53 0.57 0.50 0.35 0.18 0.06 0.05 0.14 0.29 0.43 0.48 0.43 0.29 0.13 0.02 0.00 0.06 0.17 0.27 0.32 0.31 0.27 0.24 0.24 0.27 0.29 0.29 0.25 0.22 0.22 0.30 0.44 0.62 0.75 55.0 + 57.5 0.74 0.86 0.90 0.90 0.91 0.99 1.12 1.26 1.35 1.35 1.26 1.14 1.05 1.04 1.06 1.07 1.02 0.87 0.70 0.56 0.53 0.61 0.75 0.86 0.88 0.79 0.66 0.57 0.56 0.64 0.74 0.78 0.72 0.56 0.36 0.20 0.14 0.18 0.28 0.37 0.41 0.38 0.29 0.20 0.14 0.15 0.23 0.36 0.49 0.57 0.56 0.48 0.35 0.23 0.17 0.20 0.28 0.37 0.43 0.42 0.37 0.30 0.23 0.18 0.15 0.11 0.06 0.03 0.05 0.15 0.33 0.55 0.74 0.86 0.90 0.90 0.91 0.99 1.12 1.26 1.35 1.35 1.26 1.14 1.05 1.04 1.06 1.07 1.02 0.87 0.70 0.56 0.53 0.61 0.75 0.86 0.88 0.79 0.66 0.57 0.56 0.64 0.74 0.78 0.72 0.56 0.36 0.20 0.14 0.18 0.28 0.37 0.41 0.38 0.29 0.20 0.14 0.15 0.23 0.36 0.49 0.57 0.56 0.48 0.35 0.23 0.17 0.20 0.28 0.37 0.43 0.42 0.37 0.30 0.23 0.18 0.15 0.11 0.06 0.03 0.05 0.15 0.33 0.55 0.74 57.5 + 60.0 0.65 0.82 0.94 1.02 1.12 1.27 1.46 1.65 1.78 1.83 1.80 1.73 1.68 1.66 1.66 1.63 1.53 1.35 1.15 1.00 0.95 1.00 1.10 1.15 1.12 1.00 0.84 0.72 0.67 0.69 0.73 0.73 0.63 0.47 0.29 0.14 0.06 0.07 0.12 0.17 0.21 0.22 0.21 0.19 0.17 0.18 0.23 0.31 0.41 0.51 0.56 0.53 0.45 0.35 0.27 0.26 0.31 0.39 0.46 0.46 0.40 0.30 0.19 0.09 0.02 0.00 0.00 0.00 0.00 0.01 0.19 0.42 0.65 0.82 0.94 1.02 1.12 1.27 1.46 1.65 1.78 1.83 1.80 1.73 1.68 1.66 1.66 1.63 1.53 1.35 1.15 1.00 0.95 1.00 1.10 1.15 1.12 1.00 0.84 0.72 0.67 0.69 0.73 0.73 0.63 0.47 0.29 0.14 0.06 0.07 0.12 0.17 0.21 0.22 0.21 0.19 0.17 0.18 0.23 0.31 0.41 0.51 0.56 0.53 0.45 0.35 0.27 0.26 0.31 0.39 0.46 0.46 0.40 0.30 0.19 0.09 0.02 0.00 0.00 0.00 0.00 0.01 0.19 0.42 0.65 60.0 + 62.5 0.54 0.73 0.90 1.05 1.22 1.43 1.67 1.90 2.08 2.19 2.22 2.23 2.24 2.27 2.30 2.29 2.20 2.04 1.86 1.70 1.62 1.60 1.61 1.58 1.48 1.30 1.10 0.92 0.80 0.74 0.69 0.61 0.48 0.32 0.16 0.04 0.00 0.00 0.00 0.00 0.04 0.09 0.14 0.17 0.18 0.17 0.15 0.17 0.23 0.32 0.41 0.45 0.41 0.32 0.23 0.18 0.20 0.27 0.34 0.37 0.32 0.22 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.32 0.54 0.73 0.90 1.05 1.22 1.43 1.67 1.90 2.08 2.19 2.22 2.23 2.24 2.27 2.30 2.29 2.20 2.04 1.86 1.70 1.62 1.60 1.61 1.58 1.48 1.30 1.10 0.92 0.80 0.74 0.69 0.61 0.48 0.32 0.16 0.04 0.00 0.00 0.00 0.00 0.04 0.09 0.14 0.17 0.18 0.17 0.15 0.17 0.23 0.32 0.41 0.45 0.41 0.32 0.23 0.18 0.20 0.27 0.34 0.37 0.32 0.22 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.32 0.54 62.5 + 65.0 0.47 0.65 0.82 1.00 1.21 1.45 1.72 1.97 2.18 2.32 2.42 2.50 2.60 2.72 2.84 2.91 2.90 2.82 2.69 2.55 2.44 2.36 2.27 2.14 1.94 1.70 1.43 1.19 0.99 0.82 0.66 0.49 0.31 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.14 0.16 0.11 0.04 0.00 0.00 0.07 0.18 0.26 0.26 0.19 0.08 0.00 0.00 0.04 0.12 0.17 0.15 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.28 0.47 0.65 0.82 1.00 1.21 1.45 1.72 1.97 2.18 2.32 2.42 2.50 2.60 2.72 2.84 2.91 2.90 2.82 2.69 2.55 2.44 2.36 2.27 2.14 1.94 1.70 1.43 1.19 0.99 0.82 0.66 0.49 0.31 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.14 0.16 0.11 0.04 0.00 0.00 0.07 0.18 0.26 0.26 0.19 0.08 0.00 0.00 0.04 0.12 0.17 0.15 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.28 0.47 65.0 + 67.5 0.48 0.62 0.77 0.93 1.13 1.36 1.62 1.86 2.05 2.21 2.34 2.49 2.68 2.91 3.14 3.33 3.44 3.48 3.45 3.38 3.28 3.15 2.98 2.76 2.49 2.18 1.86 1.56 1.27 1.00 0.72 0.45 0.20 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.08 0.02 0.00 0.00 0.00 0.00 0.00 0.07 0.10 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.10 0.21 0.34 0.48 0.62 0.77 0.93 1.13 1.36 1.62 1.86 2.05 2.21 2.34 2.49 2.68 2.91 3.14 3.33 3.44 3.48 3.45 3.38 3.28 3.15 2.98 2.76 2.49 2.18 1.86 1.56 1.27 1.00 0.72 0.45 0.20 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.08 0.02 0.00 0.00 0.00 0.00 0.00 0.07 0.10 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.10 0.21 0.34 0.48 67.5 + 70.0 0.58 0.67 0.77 0.89 1.04 1.23 1.43 1.62 1.77 1.90 2.04 2.23 2.49 2.80 3.13 3.43 3.68 3.85 3.95 3.98 3.94 3.83 3.64 3.37 3.05 2.71 2.36 2.02 1.68 1.33 0.96 0.58 0.24 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.11 0.17 0.23 0.30 0.38 0.48 0.58 0.67 0.77 0.89 1.04 1.23 1.43 1.62 1.77 1.90 2.04 2.23 2.49 2.80 3.13 3.43 3.68 3.85 3.95 3.98 3.94 3.83 3.64 3.37 3.05 2.71 2.36 2.02 1.68 1.33 0.96 0.58 0.24 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.11 0.17 0.23 0.30 0.38 0.48 0.58 70.0 + 72.5 0.73 0.79 0.85 0.91 1.00 1.12 1.23 1.34 1.42 1.51 1.63 1.83 2.11 2.46 2.83 3.20 3.54 3.83 4.06 4.22 4.29 4.25 4.09 3.83 3.51 3.18 2.85 2.52 2.17 1.78 1.34 0.89 0.46 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.15 0.10 0.00 0.00 0.00 0.00 0.00 0.02 0.11 0.13 0.13 0.13 0.16 0.22 0.30 0.38 0.45 0.52 0.59 0.67 0.73 0.79 0.85 0.91 1.00 1.12 1.23 1.34 1.42 1.51 1.63 1.83 2.11 2.46 2.83 3.20 3.54 3.83 4.06 4.22 4.29 4.25 4.09 3.83 3.51 3.18 2.85 2.52 2.17 1.78 1.34 0.89 0.46 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.15 0.10 0.00 0.00 0.00 0.00 0.00 0.02 0.11 0.13 0.13 0.13 0.16 0.22 0.30 0.38 0.45 0.52 0.59 0.67 0.73 72.5 + 75.0 0.90 0.94 0.96 0.98 1.01 1.04 1.06 1.07 1.08 1.11 1.21 1.40 1.67 2.00 2.35 2.70 3.05 3.41 3.75 4.04 4.23 4.29 4.19 3.99 3.72 3.45 3.19 2.93 2.63 2.25 1.80 1.30 0.82 0.43 0.16 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.21 0.39 0.48 0.43 0.28 0.12 0.04 0.07 0.19 0.33 0.42 0.44 0.40 0.37 0.37 0.41 0.49 0.57 0.65 0.72 0.79 0.85 0.90 0.94 0.96 0.98 1.01 1.04 1.06 1.07 1.08 1.11 1.21 1.40 1.67 2.00 2.35 2.70 3.05 3.41 3.75 4.04 4.23 4.29 4.19 3.99 3.72 3.45 3.19 2.93 2.63 2.25 1.80 1.30 0.82 0.43 0.16 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.21 0.39 0.48 0.43 0.28 0.12 0.04 0.07 0.19 0.33 0.42 0.44 0.40 0.37 0.37 0.41 0.49 0.57 0.65 0.72 0.79 0.85 0.90 75.0 + 77.5 1.04 1.07 1.08 1.07 1.04 0.99 0.91 0.83 0.77 0.78 0.87 1.05 1.29 1.54 1.79 2.05 2.34 2.70 3.10 3.48 3.78 3.93 3.91 3.76 3.57 3.39 3.24 3.10 2.90 2.59 2.17 1.69 1.21 0.83 0.57 0.41 0.29 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.14 0.15 0.21 0.38 0.61 0.83 0.94 0.88 0.71 0.52 0.41 0.44 0.58 0.73 0.81 0.79 0.69 0.59 0.54 0.56 0.63 0.72 0.81 0.88 0.94 1.00 1.04 1.07 1.08 1.07 1.04 0.99 0.91 0.83 0.77 0.78 0.87 1.05 1.29 1.54 1.79 2.05 2.34 2.70 3.10 3.48 3.78 3.93 3.91 3.76 3.57 3.39 3.24 3.10 2.90 2.59 2.17 1.69 1.21 0.83 0.57 0.41 0.29 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.14 0.15 0.21 0.38 0.61 0.83 0.94 0.88 0.71 0.52 0.41 0.44 0.58 0.73 0.81 0.79 0.69 0.59 0.54 0.56 0.63 0.72 0.81 0.88 0.94 1.00 1.04 77.5 + 80.0 1.12 1.15 1.16 1.14 1.07 0.94 0.78 0.63 0.53 0.52 0.63 0.81 1.01 1.17 1.29 1.40 1.57 1.87 2.27 2.71 3.07 3.26 3.28 3.18 3.05 2.97 2.96 2.95 2.88 2.67 2.34 1.93 1.55 1.25 1.07 0.96 0.84 0.66 0.39 0.08 0.00 0.00 0.00 0.02 0.23 0.37 0.43 0.45 0.53 0.73 1.00 1.25 1.37 1.30 1.08 0.85 0.72 0.76 0.91 1.07 1.13 1.06 0.90 0.72 0.62 0.62 0.70 0.82 0.92 1.00 1.05 1.09 1.12 1.15 1.16 1.14 1.07 0.94 0.78 0.63 0.53 0.52 0.63 0.81 1.01 1.17 1.29 1.40 1.57 1.87 2.27 2.71 3.07 3.26 3.28 3.18 3.05 2.97 2.96 2.95 2.88 2.67 2.34 1.93 1.55 1.25 1.07 0.96 0.84 0.66 0.39 0.08 0.00 0.00 0.00 0.02 0.23 0.37 0.43 0.45 0.53 0.73 1.00 1.25 1.37 1.30 1.08 0.85 0.72 0.76 0.91 1.07 1.13 1.06 0.90 0.72 0.62 0.62 0.70 0.82 0.92 1.00 1.05 1.09 1.12 80.0 + 82.5 1.15 1.17 1.19 1.17 1.07 0.89 0.66 0.45 0.33 0.34 0.49 0.70 0.87 0.94 0.90 0.85 0.89 1.11 1.49 1.93 2.30 2.48 2.49 2.38 2.30 2.30 2.41 2.54 2.59 2.50 2.27 1.98 1.74 1.60 1.56 1.56 1.48 1.27 0.93 0.53 0.22 0.08 0.14 0.33 0.53 0.64 0.66 0.66 0.73 0.94 1.25 1.52 1.63 1.53 1.26 0.99 0.85 0.90 1.08 1.26 1.31 1.19 0.96 0.72 0.58 0.58 0.69 0.85 0.99 1.07 1.11 1.13 1.15 1.17 1.19 1.17 1.07 0.89 0.66 0.45 0.33 0.34 0.49 0.70 0.87 0.94 0.90 0.85 0.89 1.11 1.49 1.93 2.30 2.48 2.49 2.38 2.30 2.30 2.41 2.54 2.59 2.50 2.27 1.98 1.74 1.60 1.56 1.56 1.48 1.27 0.93 0.53 0.22 0.08 0.14 0.33 0.53 0.64 0.66 0.66 0.73 0.94 1.25 1.52 1.63 1.53 1.26 0.99 0.85 0.90 1.08 1.26 1.31 1.19 0.96 0.72 0.58 0.58 0.69 0.85 0.99 1.07 1.11 1.13 1.15 82.5 + 85.0 1.13 1.16 1.19 1.17 1.05 0.84 0.56 0.31 0.19 0.24 0.44 0.68 0.84 0.84 0.69 0.50 0.43 0.57 0.92 1.34 1.67 1.81 1.76 1.62 1.53 1.59 1.78 2.00 2.14 2.14 2.01 1.85 1.77 1.82 1.96 2.09 2.09 1.87 1.48 1.02 0.65 0.47 0.51 0.66 0.80 0.85 0.79 0.73 0.77 0.97 1.28 1.56 1.65 1.51 1.20 0.90 0.76 0.84 1.06 1.27 1.32 1.17 0.89 0.60 0.45 0.47 0.63 0.85 1.02 1.11 1.13 1.12 1.13 1.16 1.19 1.17 1.05 0.84 0.56 0.31 0.19 0.24 0.44 0.68 0.84 0.84 0.69 0.50 0.43 0.57 0.92 1.34 1.67 1.81 1.76 1.62 1.53 1.59 1.78 2.00 2.14 2.14 2.01 1.85 1.77 1.82 1.96 2.09 2.09 1.87 1.48 1.02 0.65 0.47 0.51 0.66 0.80 0.85 0.79 0.73 0.77 0.97 1.28 1.56 1.65 1.51 1.20 0.90 0.76 0.84 1.06 1.27 1.32 1.17 0.89 0.60 0.45 0.47 0.63 0.85 1.02 1.11 1.13 1.12 1.13 85.0 + 87.5 1.10 1.13 1.16 1.15 1.03 0.80 0.50 0.24 0.13 0.22 0.47 0.75 0.92 0.87 0.64 0.37 0.24 0.35 0.67 1.06 1.35 1.41 1.28 1.08 0.98 1.05 1.27 1.52 1.69 1.72 1.64 1.58 1.65 1.87 2.18 2.45 2.52 2.33 1.92 1.45 1.06 0.87 0.88 0.99 1.05 1.00 0.85 0.71 0.71 0.89 1.18 1.43 1.49 1.31 0.97 0.66 0.53 0.65 0.91 1.15 1.21 1.05 0.74 0.44 0.29 0.34 0.55 0.81 1.02 1.13 1.14 1.11 1.10 1.13 1.16 1.15 1.03 0.80 0.50 0.24 0.13 0.22 0.47 0.75 0.92 0.87 0.64 0.37 0.24 0.35 0.67 1.06 1.35 1.41 1.28 1.08 0.98 1.05 1.27 1.52 1.69 1.72 1.64 1.58 1.65 1.87 2.18 2.45 2.52 2.33 1.92 1.45 1.06 0.87 0.88 0.99 1.05 1.00 0.85 0.71 0.71 0.89 1.18 1.43 1.49 1.31 0.97 0.66 0.53 0.65 0.91 1.15 1.21 1.05 0.74 0.44 0.29 0.34 0.55 0.81 1.02 1.13 1.14 1.11 1.10 87.5 + 90.0 1.09 1.11 1.15 1.14 1.02 0.79 0.50 0.25 0.17 0.29 0.58 0.89 1.05 0.99 0.74 0.45 0.31 0.42 0.73 1.09 1.33 1.32 1.12 0.87 0.72 0.77 0.97 1.20 1.33 1.33 1.26 1.24 1.40 1.74 2.17 2.53 2.67 2.53 2.17 1.74 1.40 1.24 1.26 1.33 1.33 1.20 0.97 0.77 0.72 0.87 1.12 1.32 1.33 1.09 0.73 0.42 0.31 0.45 0.74 0.99 1.05 0.89 0.58 0.29 0.17 0.25 0.50 0.79 1.02 1.14 1.15 1.11 1.09 1.11 1.15 1.14 1.02 0.79 0.50 0.25 0.17 0.29 0.58 0.89 1.05 0.99 0.74 0.45 0.31 0.42 0.73 1.09 1.33 1.32 1.12 0.87 0.72 0.77 0.97 1.20 1.33 1.33 1.26 1.24 1.40 1.74 2.17 2.53 2.67 2.53 2.17 1.74 1.40 1.24 1.26 1.33 1.33 1.20 0.97 0.77 0.72 0.87 1.12 1.32 1.33 1.09 0.73 0.42 0.31 0.45 0.74 0.99 1.05 0.89 0.58 0.29 0.17 0.25 0.50 0.79 1.02 1.14 1.15 1.11 1.09 90.0 + + 30.0 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 4.83 ) PHI2 = 30. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.0 + 2.5 0.37 0.36 0.27 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.38 0.40 0.39 0.41 0.50 0.65 0.84 1.05 1.27 1.51 1.76 1.99 2.17 2.25 2.20 2.05 1.84 1.60 1.36 1.14 0.92 0.72 0.55 0.45 0.41 0.40 0.36 0.25 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.23 0.34 0.37 0.38 0.43 0.55 0.72 0.93 1.15 1.37 1.61 1.86 2.09 2.24 2.29 2.21 2.02 1.78 1.52 1.28 1.06 0.84 0.65 0.49 0.39 0.36 0.37 0.36 0.27 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.38 0.40 0.39 0.41 0.50 0.65 0.84 1.05 1.27 1.51 1.76 1.99 2.17 2.25 2.20 2.05 1.84 1.60 1.36 1.14 0.92 0.72 0.55 0.45 0.41 0.40 0.36 0.25 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.23 0.34 0.37 0.38 0.43 0.55 0.72 0.93 1.15 1.37 1.61 1.86 2.09 2.24 2.29 2.21 2.02 1.78 1.52 1.28 1.06 0.84 0.65 0.49 0.39 0.36 0.37 2.5 + 5.0 0.36 0.40 0.38 0.27 0.10 0.00 0.00 0.00 0.08 0.28 0.43 0.50 0.48 0.42 0.38 0.40 0.51 0.67 0.88 1.12 1.38 1.66 1.92 2.14 2.26 2.26 2.15 1.94 1.70 1.44 1.19 0.95 0.76 0.61 0.53 0.51 0.50 0.46 0.34 0.15 0.00 0.00 0.00 0.00 0.00 0.16 0.32 0.39 0.41 0.43 0.49 0.62 0.80 1.02 1.25 1.50 1.77 2.05 2.28 2.42 2.43 2.29 2.04 1.73 1.42 1.15 0.90 0.69 0.50 0.36 0.30 0.30 0.36 0.40 0.38 0.27 0.10 0.00 0.00 0.00 0.08 0.28 0.43 0.50 0.48 0.42 0.38 0.40 0.51 0.67 0.88 1.12 1.38 1.66 1.92 2.14 2.26 2.26 2.15 1.94 1.70 1.44 1.19 0.95 0.76 0.61 0.53 0.51 0.50 0.46 0.34 0.15 0.00 0.00 0.00 0.00 0.00 0.16 0.32 0.39 0.41 0.43 0.49 0.62 0.80 1.02 1.25 1.50 1.77 2.05 2.28 2.42 2.43 2.29 2.04 1.73 1.42 1.15 0.90 0.69 0.50 0.36 0.30 0.30 0.36 5.0 + 7.5 0.38 0.49 0.54 0.51 0.40 0.28 0.20 0.23 0.35 0.50 0.63 0.67 0.61 0.50 0.39 0.34 0.38 0.51 0.71 0.96 1.23 1.53 1.82 2.07 2.25 2.30 2.23 2.06 1.81 1.53 1.26 1.02 0.84 0.73 0.69 0.70 0.71 0.68 0.56 0.39 0.20 0.07 0.06 0.15 0.31 0.47 0.58 0.62 0.63 0.64 0.71 0.84 1.02 1.23 1.46 1.73 2.01 2.30 2.52 2.63 2.57 2.36 2.03 1.65 1.29 0.98 0.73 0.52 0.36 0.26 0.23 0.28 0.38 0.49 0.54 0.51 0.40 0.28 0.20 0.23 0.35 0.50 0.63 0.67 0.61 0.50 0.39 0.34 0.38 0.51 0.71 0.96 1.23 1.53 1.82 2.07 2.25 2.30 2.23 2.06 1.81 1.53 1.26 1.02 0.84 0.73 0.69 0.70 0.71 0.68 0.56 0.39 0.20 0.07 0.06 0.15 0.31 0.47 0.58 0.62 0.63 0.64 0.71 0.84 1.02 1.23 1.46 1.73 2.01 2.30 2.52 2.63 2.57 2.36 2.03 1.65 1.29 0.98 0.73 0.52 0.36 0.26 0.23 0.28 0.38 7.5 + 10.0 0.45 0.59 0.70 0.73 0.68 0.58 0.50 0.49 0.57 0.69 0.80 0.84 0.78 0.64 0.49 0.38 0.36 0.45 0.63 0.86 1.12 1.41 1.69 1.96 2.17 2.28 2.26 2.13 1.89 1.61 1.33 1.10 0.95 0.90 0.93 0.99 1.03 1.01 0.91 0.76 0.62 0.55 0.58 0.71 0.86 0.99 1.05 1.06 1.05 1.06 1.13 1.25 1.40 1.57 1.78 2.02 2.28 2.54 2.73 2.77 2.65 2.35 1.95 1.53 1.14 0.83 0.60 0.43 0.31 0.25 0.25 0.32 0.45 0.59 0.70 0.73 0.68 0.58 0.50 0.49 0.57 0.69 0.80 0.84 0.78 0.64 0.49 0.38 0.36 0.45 0.63 0.86 1.12 1.41 1.69 1.96 2.17 2.28 2.26 2.13 1.89 1.61 1.33 1.10 0.95 0.90 0.93 0.99 1.03 1.01 0.91 0.76 0.62 0.55 0.58 0.71 0.86 0.99 1.05 1.06 1.05 1.06 1.13 1.25 1.40 1.57 1.78 2.02 2.28 2.54 2.73 2.77 2.65 2.35 1.95 1.53 1.14 0.83 0.60 0.43 0.31 0.25 0.25 0.32 0.45 10.0 + 12.5 0.55 0.69 0.82 0.88 0.87 0.79 0.70 0.65 0.68 0.77 0.89 0.96 0.93 0.81 0.65 0.51 0.46 0.51 0.65 0.84 1.07 1.30 1.55 1.80 2.02 2.17 2.22 2.13 1.93 1.66 1.38 1.17 1.07 1.07 1.17 1.29 1.38 1.38 1.30 1.18 1.09 1.07 1.16 1.32 1.48 1.59 1.62 1.60 1.57 1.58 1.64 1.74 1.85 1.98 2.13 2.30 2.51 2.70 2.81 2.78 2.57 2.22 1.79 1.35 0.98 0.71 0.53 0.42 0.35 0.33 0.35 0.42 0.55 0.69 0.82 0.88 0.87 0.79 0.70 0.65 0.68 0.77 0.89 0.96 0.93 0.81 0.65 0.51 0.46 0.51 0.65 0.84 1.07 1.30 1.55 1.80 2.02 2.17 2.22 2.13 1.93 1.66 1.38 1.17 1.07 1.07 1.17 1.29 1.38 1.38 1.30 1.18 1.09 1.07 1.16 1.32 1.48 1.59 1.62 1.60 1.57 1.58 1.64 1.74 1.85 1.98 2.13 2.30 2.51 2.70 2.81 2.78 2.57 2.22 1.79 1.35 0.98 0.71 0.53 0.42 0.35 0.33 0.35 0.42 0.55 12.5 + 15.0 0.61 0.74 0.86 0.94 0.95 0.89 0.78 0.69 0.67 0.74 0.86 0.97 1.01 0.94 0.80 0.66 0.59 0.61 0.71 0.87 1.04 1.22 1.41 1.63 1.85 2.03 2.12 2.09 1.92 1.67 1.41 1.21 1.13 1.18 1.32 1.49 1.61 1.65 1.59 1.50 1.45 1.48 1.61 1.80 1.97 2.06 2.07 2.03 1.98 1.99 2.05 2.14 2.23 2.31 2.40 2.50 2.61 2.70 2.72 2.60 2.33 1.95 1.52 1.12 0.80 0.59 0.47 0.43 0.42 0.43 0.46 0.52 0.61 0.74 0.86 0.94 0.95 0.89 0.78 0.69 0.67 0.74 0.86 0.97 1.01 0.94 0.80 0.66 0.59 0.61 0.71 0.87 1.04 1.22 1.41 1.63 1.85 2.03 2.12 2.09 1.92 1.67 1.41 1.21 1.13 1.18 1.32 1.49 1.61 1.65 1.59 1.50 1.45 1.48 1.61 1.80 1.97 2.06 2.07 2.03 1.98 1.99 2.05 2.14 2.23 2.31 2.40 2.50 2.61 2.70 2.72 2.60 2.33 1.95 1.52 1.12 0.80 0.59 0.47 0.43 0.42 0.43 0.46 0.52 0.61 15.0 + 17.5 0.59 0.69 0.82 0.92 0.96 0.91 0.78 0.65 0.58 0.61 0.73 0.88 0.97 0.96 0.87 0.75 0.67 0.67 0.75 0.87 1.00 1.14 1.29 1.48 1.69 1.90 2.02 2.03 1.90 1.66 1.40 1.20 1.11 1.16 1.31 1.50 1.65 1.71 1.69 1.63 1.60 1.67 1.82 2.02 2.18 2.27 2.25 2.19 2.13 2.14 2.20 2.30 2.39 2.46 2.50 2.54 2.55 2.54 2.45 2.25 1.95 1.57 1.18 0.84 0.58 0.43 0.37 0.38 0.41 0.45 0.49 0.53 0.59 0.69 0.82 0.92 0.96 0.91 0.78 0.65 0.58 0.61 0.73 0.88 0.97 0.96 0.87 0.75 0.67 0.67 0.75 0.87 1.00 1.14 1.29 1.48 1.69 1.90 2.02 2.03 1.90 1.66 1.40 1.20 1.11 1.16 1.31 1.50 1.65 1.71 1.69 1.63 1.60 1.67 1.82 2.02 2.18 2.27 2.25 2.19 2.13 2.14 2.20 2.30 2.39 2.46 2.50 2.54 2.55 2.54 2.45 2.25 1.95 1.57 1.18 0.84 0.58 0.43 0.37 0.38 0.41 0.45 0.49 0.53 0.59 17.5 + 20.0 0.47 0.56 0.69 0.83 0.91 0.89 0.76 0.59 0.46 0.44 0.53 0.69 0.82 0.87 0.82 0.72 0.65 0.64 0.71 0.82 0.94 1.06 1.20 1.38 1.59 1.80 1.94 1.97 1.86 1.64 1.38 1.15 1.03 1.04 1.16 1.34 1.50 1.59 1.60 1.58 1.59 1.67 1.83 2.02 2.18 2.25 2.22 2.13 2.06 2.06 2.13 2.24 2.35 2.42 2.44 2.42 2.35 2.23 2.04 1.79 1.48 1.13 0.80 0.53 0.33 0.22 0.20 0.23 0.29 0.35 0.39 0.42 0.47 0.56 0.69 0.83 0.91 0.89 0.76 0.59 0.46 0.44 0.53 0.69 0.82 0.87 0.82 0.72 0.65 0.64 0.71 0.82 0.94 1.06 1.20 1.38 1.59 1.80 1.94 1.97 1.86 1.64 1.38 1.15 1.03 1.04 1.16 1.34 1.50 1.59 1.60 1.58 1.59 1.67 1.83 2.02 2.18 2.25 2.22 2.13 2.06 2.06 2.13 2.24 2.35 2.42 2.44 2.42 2.35 2.23 2.04 1.79 1.48 1.13 0.80 0.53 0.33 0.22 0.20 0.23 0.29 0.35 0.39 0.42 0.47 20.0 + 22.5 0.28 0.37 0.52 0.70 0.83 0.85 0.74 0.55 0.37 0.28 0.33 0.48 0.63 0.71 0.69 0.61 0.55 0.54 0.60 0.72 0.85 0.99 1.13 1.31 1.51 1.71 1.86 1.90 1.80 1.60 1.34 1.10 0.94 0.90 0.97 1.12 1.27 1.40 1.47 1.51 1.56 1.67 1.84 2.03 2.19 2.25 2.21 2.11 2.01 1.98 2.03 2.13 2.24 2.31 2.31 2.22 2.06 1.85 1.59 1.29 0.99 0.70 0.44 0.23 0.07 0.00 0.00 0.00 0.07 0.14 0.20 0.23 0.28 0.37 0.52 0.70 0.83 0.85 0.74 0.55 0.37 0.28 0.33 0.48 0.63 0.71 0.69 0.61 0.55 0.54 0.60 0.72 0.85 0.99 1.13 1.31 1.51 1.71 1.86 1.90 1.80 1.60 1.34 1.10 0.94 0.90 0.97 1.12 1.27 1.40 1.47 1.51 1.56 1.67 1.84 2.03 2.19 2.25 2.21 2.11 2.01 1.98 2.03 2.13 2.24 2.31 2.31 2.22 2.06 1.85 1.59 1.29 0.99 0.70 0.44 0.23 0.07 0.00 0.00 0.00 0.07 0.14 0.20 0.23 0.28 22.5 + 25.0 0.08 0.17 0.33 0.54 0.72 0.79 0.71 0.51 0.30 0.17 0.18 0.30 0.45 0.55 0.55 0.49 0.43 0.43 0.49 0.61 0.76 0.91 1.06 1.22 1.41 1.58 1.71 1.75 1.68 1.51 1.29 1.07 0.90 0.83 0.85 0.96 1.12 1.29 1.43 1.56 1.69 1.85 2.05 2.26 2.44 2.52 2.49 2.39 2.26 2.17 2.16 2.20 2.26 2.28 2.21 2.05 1.80 1.49 1.16 0.84 0.57 0.34 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.08 0.17 0.33 0.54 0.72 0.79 0.71 0.51 0.30 0.17 0.18 0.30 0.45 0.55 0.55 0.49 0.43 0.43 0.49 0.61 0.76 0.91 1.06 1.22 1.41 1.58 1.71 1.75 1.68 1.51 1.29 1.07 0.90 0.83 0.85 0.96 1.12 1.29 1.43 1.56 1.69 1.85 2.05 2.26 2.44 2.52 2.49 2.39 2.26 2.17 2.16 2.20 2.26 2.28 2.21 2.05 1.80 1.49 1.16 0.84 0.57 0.34 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.08 25.0 + 27.5 0.00 0.01 0.15 0.37 0.57 0.68 0.64 0.46 0.25 0.10 0.09 0.19 0.34 0.44 0.47 0.43 0.37 0.36 0.42 0.53 0.67 0.81 0.95 1.08 1.22 1.35 1.45 1.48 1.44 1.35 1.21 1.06 0.94 0.87 0.88 0.97 1.13 1.33 1.56 1.78 2.01 2.25 2.51 2.78 3.00 3.13 3.15 3.06 2.91 2.75 2.63 2.56 2.50 2.42 2.25 1.98 1.62 1.22 0.83 0.51 0.26 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.15 0.37 0.57 0.68 0.64 0.46 0.25 0.10 0.09 0.19 0.34 0.44 0.47 0.43 0.37 0.36 0.42 0.53 0.67 0.81 0.95 1.08 1.22 1.35 1.45 1.48 1.44 1.35 1.21 1.06 0.94 0.87 0.88 0.97 1.13 1.33 1.56 1.78 2.01 2.25 2.51 2.78 3.00 3.13 3.15 3.06 2.91 2.75 2.63 2.56 2.50 2.42 2.25 1.98 1.62 1.22 0.83 0.51 0.26 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 27.5 + 30.0 0.00 0.00 0.01 0.19 0.40 0.53 0.53 0.40 0.21 0.08 0.05 0.15 0.29 0.41 0.45 0.42 0.37 0.36 0.39 0.48 0.58 0.68 0.77 0.86 0.95 1.03 1.09 1.12 1.12 1.11 1.08 1.06 1.02 1.00 1.01 1.09 1.24 1.47 1.76 2.08 2.40 2.72 3.05 3.38 3.67 3.89 3.98 3.93 3.77 3.55 3.31 3.10 2.90 2.68 2.39 2.01 1.55 1.07 0.64 0.31 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.19 0.40 0.53 0.53 0.40 0.21 0.08 0.05 0.15 0.29 0.41 0.45 0.42 0.37 0.36 0.39 0.48 0.58 0.68 0.77 0.86 0.95 1.03 1.09 1.12 1.12 1.11 1.08 1.06 1.02 1.00 1.01 1.09 1.24 1.47 1.76 2.08 2.40 2.72 3.05 3.38 3.67 3.89 3.98 3.93 3.77 3.55 3.31 3.10 2.90 2.68 2.39 2.01 1.55 1.07 0.64 0.31 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 30.0 + 32.5 0.00 0.00 0.00 0.03 0.22 0.37 0.41 0.33 0.19 0.08 0.05 0.14 0.27 0.40 0.46 0.45 0.42 0.39 0.39 0.43 0.47 0.52 0.56 0.60 0.64 0.68 0.70 0.72 0.76 0.83 0.92 1.02 1.10 1.14 1.16 1.22 1.34 1.57 1.88 2.24 2.62 2.99 3.37 3.74 4.10 4.39 4.57 4.59 4.45 4.20 3.88 3.56 3.24 2.91 2.52 2.06 1.55 1.03 0.59 0.27 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.22 0.37 0.41 0.33 0.19 0.08 0.05 0.14 0.27 0.40 0.46 0.45 0.42 0.39 0.39 0.43 0.47 0.52 0.56 0.60 0.64 0.68 0.70 0.72 0.76 0.83 0.92 1.02 1.10 1.14 1.16 1.22 1.34 1.57 1.88 2.24 2.62 2.99 3.37 3.74 4.10 4.39 4.57 4.59 4.45 4.20 3.88 3.56 3.24 2.91 2.52 2.06 1.55 1.03 0.59 0.27 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 32.5 + 35.0 0.00 0.00 0.00 0.00 0.07 0.23 0.32 0.29 0.19 0.10 0.07 0.12 0.24 0.36 0.44 0.47 0.45 0.42 0.39 0.37 0.36 0.35 0.36 0.38 0.39 0.40 0.40 0.41 0.46 0.58 0.75 0.94 1.10 1.19 1.22 1.24 1.31 1.49 1.77 2.12 2.49 2.86 3.23 3.60 3.97 4.31 4.56 4.66 4.57 4.33 4.00 3.63 3.27 2.90 2.50 2.05 1.55 1.05 0.63 0.33 0.16 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.04 0.00 0.00 0.00 0.00 0.07 0.23 0.32 0.29 0.19 0.10 0.07 0.12 0.24 0.36 0.44 0.47 0.45 0.42 0.39 0.37 0.36 0.35 0.36 0.38 0.39 0.40 0.40 0.41 0.46 0.58 0.75 0.94 1.10 1.19 1.22 1.24 1.31 1.49 1.77 2.12 2.49 2.86 3.23 3.60 3.97 4.31 4.56 4.66 4.57 4.33 4.00 3.63 3.27 2.90 2.50 2.05 1.55 1.05 0.63 0.33 0.16 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.04 0.00 35.0 + 37.5 0.00 0.00 0.00 0.00 0.00 0.14 0.26 0.28 0.22 0.12 0.07 0.09 0.17 0.29 0.40 0.46 0.47 0.44 0.38 0.31 0.25 0.22 0.23 0.25 0.28 0.29 0.27 0.26 0.30 0.41 0.61 0.84 1.03 1.13 1.14 1.10 1.11 1.21 1.43 1.72 2.03 2.32 2.60 2.90 3.23 3.56 3.84 4.00 3.98 3.81 3.52 3.19 2.87 2.57 2.25 1.89 1.48 1.06 0.69 0.43 0.28 0.21 0.15 0.07 0.00 0.00 0.00 0.00 0.00 0.05 0.12 0.09 0.00 0.00 0.00 0.00 0.00 0.14 0.26 0.28 0.22 0.12 0.07 0.09 0.17 0.29 0.40 0.46 0.47 0.44 0.38 0.31 0.25 0.22 0.23 0.25 0.28 0.29 0.27 0.26 0.30 0.41 0.61 0.84 1.03 1.13 1.14 1.10 1.11 1.21 1.43 1.72 2.03 2.32 2.60 2.90 3.23 3.56 3.84 4.00 3.98 3.81 3.52 3.19 2.87 2.57 2.25 1.89 1.48 1.06 0.69 0.43 0.28 0.21 0.15 0.07 0.00 0.00 0.00 0.00 0.00 0.05 0.12 0.09 0.00 37.5 + 40.0 0.00 0.00 0.00 0.00 0.00 0.09 0.24 0.29 0.25 0.14 0.05 0.02 0.08 0.20 0.34 0.45 0.49 0.47 0.39 0.28 0.20 0.17 0.20 0.27 0.33 0.35 0.32 0.28 0.27 0.36 0.53 0.73 0.90 0.98 0.94 0.86 0.81 0.85 0.99 1.20 1.41 1.57 1.72 1.88 2.10 2.37 2.64 2.83 2.88 2.77 2.57 2.33 2.12 1.95 1.78 1.57 1.30 1.00 0.71 0.50 0.38 0.33 0.29 0.23 0.12 0.00 0.00 0.00 0.00 0.09 0.14 0.10 0.00 0.00 0.00 0.00 0.00 0.09 0.24 0.29 0.25 0.14 0.05 0.02 0.08 0.20 0.34 0.45 0.49 0.47 0.39 0.28 0.20 0.17 0.20 0.27 0.33 0.35 0.32 0.28 0.27 0.36 0.53 0.73 0.90 0.98 0.94 0.86 0.81 0.85 0.99 1.20 1.41 1.57 1.72 1.88 2.10 2.37 2.64 2.83 2.88 2.77 2.57 2.33 2.12 1.95 1.78 1.57 1.30 1.00 0.71 0.50 0.38 0.33 0.29 0.23 0.12 0.00 0.00 0.00 0.00 0.09 0.14 0.10 0.00 40.0 + 42.5 0.01 0.00 0.00 0.00 0.00 0.06 0.22 0.29 0.26 0.14 0.01 0.00 0.00 0.11 0.30 0.46 0.54 0.52 0.42 0.29 0.20 0.19 0.26 0.38 0.47 0.50 0.46 0.39 0.35 0.39 0.51 0.67 0.78 0.80 0.72 0.60 0.53 0.54 0.65 0.78 0.88 0.91 0.89 0.89 0.97 1.15 1.38 1.57 1.66 1.61 1.47 1.33 1.23 1.20 1.19 1.15 1.03 0.85 0.66 0.50 0.42 0.40 0.40 0.37 0.29 0.18 0.09 0.05 0.08 0.13 0.16 0.12 0.01 0.00 0.00 0.00 0.00 0.06 0.22 0.29 0.26 0.14 0.01 0.00 0.00 0.11 0.30 0.46 0.54 0.52 0.42 0.29 0.20 0.19 0.26 0.38 0.47 0.50 0.46 0.39 0.35 0.39 0.51 0.67 0.78 0.80 0.72 0.60 0.53 0.54 0.65 0.78 0.88 0.91 0.89 0.89 0.97 1.15 1.38 1.57 1.66 1.61 1.47 1.33 1.23 1.20 1.19 1.15 1.03 0.85 0.66 0.50 0.42 0.40 0.40 0.37 0.29 0.18 0.09 0.05 0.08 0.13 0.16 0.12 0.01 42.5 + 45.0 0.07 0.00 0.00 0.00 0.00 0.01 0.17 0.26 0.23 0.10 0.00 0.00 0.00 0.06 0.30 0.51 0.62 0.59 0.47 0.33 0.24 0.26 0.37 0.51 0.63 0.65 0.60 0.51 0.45 0.46 0.55 0.65 0.70 0.65 0.54 0.41 0.35 0.39 0.49 0.59 0.61 0.51 0.35 0.21 0.18 0.27 0.45 0.62 0.71 0.68 0.58 0.49 0.46 0.52 0.63 0.71 0.72 0.65 0.53 0.43 0.39 0.41 0.45 0.48 0.44 0.35 0.25 0.18 0.17 0.19 0.21 0.17 0.07 0.00 0.00 0.00 0.00 0.01 0.17 0.26 0.23 0.10 0.00 0.00 0.00 0.06 0.30 0.51 0.62 0.59 0.47 0.33 0.24 0.26 0.37 0.51 0.63 0.65 0.60 0.51 0.45 0.46 0.55 0.65 0.70 0.65 0.54 0.41 0.35 0.39 0.49 0.59 0.61 0.51 0.35 0.21 0.18 0.27 0.45 0.62 0.71 0.68 0.58 0.49 0.46 0.52 0.63 0.71 0.72 0.65 0.53 0.43 0.39 0.41 0.45 0.48 0.44 0.35 0.25 0.18 0.17 0.19 0.21 0.17 0.07 45.0 + 47.5 0.19 0.05 0.00 0.00 0.00 0.00 0.12 0.21 0.18 0.05 0.00 0.00 0.00 0.05 0.32 0.56 0.68 0.64 0.50 0.34 0.27 0.31 0.45 0.61 0.72 0.72 0.65 0.56 0.52 0.55 0.63 0.69 0.67 0.57 0.42 0.31 0.29 0.38 0.52 0.62 0.59 0.42 0.17 0.00 0.00 0.00 0.01 0.17 0.25 0.21 0.10 0.00 0.00 0.07 0.22 0.37 0.46 0.46 0.40 0.34 0.33 0.38 0.47 0.54 0.54 0.48 0.37 0.29 0.25 0.27 0.29 0.28 0.19 0.05 0.00 0.00 0.00 0.00 0.12 0.21 0.18 0.05 0.00 0.00 0.00 0.05 0.32 0.56 0.68 0.64 0.50 0.34 0.27 0.31 0.45 0.61 0.72 0.72 0.65 0.56 0.52 0.55 0.63 0.69 0.67 0.57 0.42 0.31 0.29 0.38 0.52 0.62 0.59 0.42 0.17 0.00 0.00 0.00 0.01 0.17 0.25 0.21 0.10 0.00 0.00 0.07 0.22 0.37 0.46 0.46 0.40 0.34 0.33 0.38 0.47 0.54 0.54 0.48 0.37 0.29 0.25 0.27 0.29 0.28 0.19 47.5 + 50.0 0.36 0.22 0.05 0.00 0.00 0.00 0.10 0.18 0.17 0.05 0.00 0.00 0.00 0.08 0.36 0.59 0.69 0.62 0.46 0.31 0.25 0.33 0.49 0.65 0.73 0.71 0.63 0.56 0.56 0.64 0.73 0.77 0.71 0.56 0.38 0.26 0.28 0.42 0.61 0.72 0.69 0.49 0.21 0.00 0.00 0.00 0.00 0.15 0.22 0.17 0.04 0.00 0.00 0.00 0.04 0.20 0.31 0.34 0.32 0.29 0.30 0.37 0.47 0.56 0.58 0.52 0.42 0.33 0.30 0.34 0.40 0.42 0.36 0.22 0.05 0.00 0.00 0.00 0.10 0.18 0.17 0.05 0.00 0.00 0.00 0.08 0.36 0.59 0.69 0.62 0.46 0.31 0.25 0.33 0.49 0.65 0.73 0.71 0.63 0.56 0.56 0.64 0.73 0.77 0.71 0.56 0.38 0.26 0.28 0.42 0.61 0.72 0.69 0.49 0.21 0.00 0.00 0.00 0.00 0.15 0.22 0.17 0.04 0.00 0.00 0.00 0.04 0.20 0.31 0.34 0.32 0.29 0.30 0.37 0.47 0.56 0.58 0.52 0.42 0.33 0.30 0.34 0.40 0.42 0.36 50.0 + 52.5 0.55 0.43 0.25 0.09 0.03 0.08 0.18 0.26 0.25 0.14 0.00 0.00 0.00 0.17 0.42 0.61 0.66 0.56 0.38 0.24 0.22 0.33 0.50 0.66 0.71 0.67 0.59 0.55 0.61 0.73 0.85 0.88 0.78 0.57 0.36 0.24 0.27 0.43 0.63 0.76 0.74 0.57 0.32 0.10 0.00 0.05 0.20 0.36 0.43 0.38 0.24 0.08 0.00 0.00 0.07 0.20 0.30 0.35 0.34 0.32 0.33 0.39 0.47 0.53 0.54 0.47 0.37 0.30 0.29 0.37 0.48 0.56 0.55 0.43 0.25 0.09 0.03 0.08 0.18 0.26 0.25 0.14 0.00 0.00 0.00 0.17 0.42 0.61 0.66 0.56 0.38 0.24 0.22 0.33 0.50 0.66 0.71 0.67 0.59 0.55 0.61 0.73 0.85 0.88 0.78 0.57 0.36 0.24 0.27 0.43 0.63 0.76 0.74 0.57 0.32 0.10 0.00 0.05 0.20 0.36 0.43 0.38 0.24 0.08 0.00 0.00 0.07 0.20 0.30 0.35 0.34 0.32 0.33 0.39 0.47 0.53 0.54 0.47 0.37 0.30 0.29 0.37 0.48 0.56 0.55 52.5 + 55.0 0.71 0.63 0.48 0.33 0.27 0.30 0.40 0.48 0.47 0.37 0.24 0.16 0.20 0.35 0.54 0.66 0.65 0.51 0.33 0.21 0.22 0.36 0.55 0.69 0.72 0.66 0.58 0.58 0.67 0.83 0.96 0.97 0.83 0.59 0.34 0.20 0.21 0.36 0.55 0.68 0.68 0.55 0.37 0.21 0.17 0.25 0.41 0.57 0.66 0.64 0.52 0.37 0.25 0.21 0.24 0.33 0.41 0.45 0.45 0.43 0.42 0.43 0.46 0.47 0.43 0.35 0.25 0.19 0.22 0.35 0.52 0.66 0.71 0.63 0.48 0.33 0.27 0.30 0.40 0.48 0.47 0.37 0.24 0.16 0.20 0.35 0.54 0.66 0.65 0.51 0.33 0.21 0.22 0.36 0.55 0.69 0.72 0.66 0.58 0.58 0.67 0.83 0.96 0.97 0.83 0.59 0.34 0.20 0.21 0.36 0.55 0.68 0.68 0.55 0.37 0.21 0.17 0.25 0.41 0.57 0.66 0.64 0.52 0.37 0.25 0.21 0.24 0.33 0.41 0.45 0.45 0.43 0.42 0.43 0.46 0.47 0.43 0.35 0.25 0.19 0.22 0.35 0.52 0.66 0.71 55.0 + 57.5 0.80 0.79 0.70 0.60 0.56 0.61 0.72 0.80 0.81 0.72 0.60 0.52 0.54 0.65 0.77 0.83 0.77 0.60 0.42 0.32 0.35 0.50 0.68 0.79 0.80 0.72 0.64 0.64 0.74 0.89 1.00 0.98 0.82 0.56 0.30 0.14 0.12 0.23 0.38 0.49 0.52 0.46 0.36 0.28 0.28 0.37 0.51 0.67 0.77 0.79 0.74 0.63 0.52 0.45 0.44 0.48 0.53 0.56 0.56 0.53 0.49 0.46 0.42 0.37 0.29 0.18 0.09 0.05 0.12 0.28 0.51 0.70 0.80 0.79 0.70 0.60 0.56 0.61 0.72 0.80 0.81 0.72 0.60 0.52 0.54 0.65 0.77 0.83 0.77 0.60 0.42 0.32 0.35 0.50 0.68 0.79 0.80 0.72 0.64 0.64 0.74 0.89 1.00 0.98 0.82 0.56 0.30 0.14 0.12 0.23 0.38 0.49 0.52 0.46 0.36 0.28 0.28 0.37 0.51 0.67 0.77 0.79 0.74 0.63 0.52 0.45 0.44 0.48 0.53 0.56 0.56 0.53 0.49 0.46 0.42 0.37 0.29 0.18 0.09 0.05 0.12 0.28 0.51 0.70 0.80 57.5 + 60.0 0.82 0.86 0.84 0.80 0.83 0.92 1.05 1.16 1.18 1.12 1.03 0.97 0.98 1.06 1.15 1.16 1.08 0.91 0.75 0.66 0.69 0.81 0.94 1.01 0.97 0.87 0.77 0.74 0.79 0.89 0.94 0.89 0.71 0.45 0.21 0.06 0.02 0.08 0.19 0.29 0.34 0.35 0.34 0.33 0.35 0.42 0.51 0.62 0.72 0.78 0.79 0.75 0.67 0.60 0.55 0.55 0.57 0.59 0.58 0.55 0.49 0.42 0.34 0.24 0.14 0.03 0.00 0.00 0.03 0.21 0.45 0.68 0.82 0.86 0.84 0.80 0.83 0.92 1.05 1.16 1.18 1.12 1.03 0.97 0.98 1.06 1.15 1.16 1.08 0.91 0.75 0.66 0.69 0.81 0.94 1.01 0.97 0.87 0.77 0.74 0.79 0.89 0.94 0.89 0.71 0.45 0.21 0.06 0.02 0.08 0.19 0.29 0.34 0.35 0.34 0.33 0.35 0.42 0.51 0.62 0.72 0.78 0.79 0.75 0.67 0.60 0.55 0.55 0.57 0.59 0.58 0.55 0.49 0.42 0.34 0.24 0.14 0.03 0.00 0.00 0.03 0.21 0.45 0.68 0.82 60.0 + 62.5 0.76 0.84 0.87 0.90 0.99 1.14 1.31 1.44 1.49 1.47 1.42 1.39 1.43 1.52 1.62 1.65 1.59 1.46 1.33 1.25 1.26 1.32 1.37 1.36 1.26 1.10 0.95 0.86 0.84 0.84 0.81 0.70 0.51 0.28 0.08 0.00 0.00 0.00 0.03 0.11 0.19 0.26 0.32 0.36 0.39 0.40 0.42 0.46 0.53 0.61 0.67 0.69 0.66 0.58 0.51 0.46 0.45 0.46 0.47 0.44 0.38 0.30 0.21 0.11 0.02 0.00 0.00 0.00 0.00 0.17 0.40 0.61 0.76 0.84 0.87 0.90 0.99 1.14 1.31 1.44 1.49 1.47 1.42 1.39 1.43 1.52 1.62 1.65 1.59 1.46 1.33 1.25 1.26 1.32 1.37 1.36 1.26 1.10 0.95 0.86 0.84 0.84 0.81 0.70 0.51 0.28 0.08 0.00 0.00 0.00 0.03 0.11 0.19 0.26 0.32 0.36 0.39 0.40 0.42 0.46 0.53 0.61 0.67 0.69 0.66 0.58 0.51 0.46 0.45 0.46 0.47 0.44 0.38 0.30 0.21 0.11 0.02 0.00 0.00 0.00 0.00 0.17 0.40 0.61 0.76 62.5 + 65.0 0.66 0.74 0.80 0.89 1.03 1.22 1.42 1.58 1.66 1.68 1.67 1.70 1.79 1.94 2.09 2.20 2.22 2.17 2.10 2.05 2.03 2.02 1.98 1.87 1.69 1.47 1.25 1.07 0.94 0.82 0.67 0.49 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.16 0.27 0.34 0.36 0.33 0.27 0.23 0.26 0.33 0.43 0.49 0.48 0.42 0.32 0.24 0.21 0.22 0.24 0.24 0.21 0.15 0.08 0.02 0.00 0.00 0.00 0.00 0.03 0.17 0.35 0.53 0.66 0.74 0.80 0.89 1.03 1.22 1.42 1.58 1.66 1.68 1.67 1.70 1.79 1.94 2.09 2.20 2.22 2.17 2.10 2.05 2.03 2.02 1.98 1.87 1.69 1.47 1.25 1.07 0.94 0.82 0.67 0.49 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.16 0.27 0.34 0.36 0.33 0.27 0.23 0.26 0.33 0.43 0.49 0.48 0.42 0.32 0.24 0.21 0.22 0.24 0.24 0.21 0.15 0.08 0.02 0.00 0.00 0.00 0.00 0.03 0.17 0.35 0.53 0.66 65.0 + 67.5 0.55 0.62 0.69 0.79 0.96 1.18 1.40 1.57 1.67 1.71 1.75 1.83 2.00 2.22 2.46 2.67 2.81 2.88 2.91 2.92 2.91 2.86 2.75 2.56 2.29 2.00 1.70 1.44 1.19 0.94 0.68 0.40 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.14 0.24 0.26 0.19 0.08 0.00 0.00 0.03 0.14 0.23 0.25 0.20 0.09 0.00 0.00 0.00 0.02 0.06 0.07 0.05 0.03 0.00 0.00 0.00 0.02 0.05 0.12 0.22 0.34 0.46 0.55 0.62 0.69 0.79 0.96 1.18 1.40 1.57 1.67 1.71 1.75 1.83 2.00 2.22 2.46 2.67 2.81 2.88 2.91 2.92 2.91 2.86 2.75 2.56 2.29 2.00 1.70 1.44 1.19 0.94 0.68 0.40 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.14 0.24 0.26 0.19 0.08 0.00 0.00 0.03 0.14 0.23 0.25 0.20 0.09 0.00 0.00 0.00 0.02 0.06 0.07 0.05 0.03 0.00 0.00 0.00 0.02 0.05 0.12 0.22 0.34 0.46 0.55 67.5 + 70.0 0.49 0.54 0.59 0.70 0.87 1.08 1.29 1.45 1.54 1.59 1.65 1.79 2.01 2.32 2.65 2.95 3.22 3.42 3.58 3.70 3.76 3.73 3.59 3.35 3.03 2.68 2.34 2.00 1.66 1.30 0.92 0.54 0.20 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.10 0.04 0.00 0.00 0.00 0.00 0.00 0.07 0.12 0.07 0.00 0.00 0.00 0.00 0.00 0.02 0.08 0.10 0.10 0.10 0.11 0.14 0.17 0.20 0.25 0.31 0.38 0.44 0.49 0.54 0.59 0.70 0.87 1.08 1.29 1.45 1.54 1.59 1.65 1.79 2.01 2.32 2.65 2.95 3.22 3.42 3.58 3.70 3.76 3.73 3.59 3.35 3.03 2.68 2.34 2.00 1.66 1.30 0.92 0.54 0.20 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.10 0.04 0.00 0.00 0.00 0.00 0.00 0.07 0.12 0.07 0.00 0.00 0.00 0.00 0.00 0.02 0.08 0.10 0.10 0.10 0.11 0.14 0.17 0.20 0.25 0.31 0.38 0.44 0.49 70.0 + 72.5 0.50 0.53 0.57 0.66 0.81 0.99 1.15 1.27 1.33 1.37 1.45 1.62 1.88 2.23 2.61 2.99 3.34 3.67 3.97 4.23 4.40 4.45 4.34 4.10 3.77 3.41 3.04 2.68 2.29 1.86 1.38 0.90 0.48 0.16 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.20 0.17 0.07 0.00 0.00 0.00 0.07 0.19 0.27 0.30 0.30 0.29 0.29 0.31 0.33 0.35 0.38 0.41 0.45 0.48 0.50 0.53 0.57 0.66 0.81 0.99 1.15 1.27 1.33 1.37 1.45 1.62 1.88 2.23 2.61 2.99 3.34 3.67 3.97 4.23 4.40 4.45 4.34 4.10 3.77 3.41 3.04 2.68 2.29 1.86 1.38 0.90 0.48 0.16 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.20 0.17 0.07 0.00 0.00 0.00 0.07 0.19 0.27 0.30 0.30 0.29 0.29 0.31 0.33 0.35 0.38 0.41 0.45 0.48 0.50 72.5 + 75.0 0.57 0.59 0.62 0.69 0.81 0.93 1.03 1.08 1.09 1.11 1.20 1.38 1.66 2.01 2.38 2.75 3.14 3.54 3.97 4.38 4.68 4.83 4.79 4.59 4.28 3.95 3.62 3.28 2.91 2.46 1.94 1.40 0.91 0.54 0.31 0.19 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.08 0.04 0.00 0.00 0.06 0.25 0.43 0.53 0.51 0.39 0.26 0.20 0.25 0.37 0.51 0.60 0.61 0.56 0.50 0.46 0.45 0.46 0.48 0.51 0.53 0.55 0.57 0.57 0.59 0.62 0.69 0.81 0.93 1.03 1.08 1.09 1.11 1.20 1.38 1.66 2.01 2.38 2.75 3.14 3.54 3.97 4.38 4.68 4.83 4.79 4.59 4.28 3.95 3.62 3.28 2.91 2.46 1.94 1.40 0.91 0.54 0.31 0.19 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.08 0.04 0.00 0.00 0.06 0.25 0.43 0.53 0.51 0.39 0.26 0.20 0.25 0.37 0.51 0.60 0.61 0.56 0.50 0.46 0.45 0.46 0.48 0.51 0.53 0.55 0.57 0.57 75.0 + 77.5 0.66 0.67 0.71 0.76 0.83 0.88 0.89 0.87 0.83 0.84 0.93 1.13 1.41 1.71 2.00 2.30 2.64 3.06 3.57 4.08 4.51 4.76 4.78 4.62 4.36 4.08 3.83 3.59 3.29 2.89 2.39 1.85 1.35 0.98 0.76 0.64 0.55 0.40 0.18 0.00 0.00 0.00 0.00 0.06 0.26 0.37 0.37 0.33 0.35 0.48 0.70 0.92 1.02 0.98 0.81 0.63 0.54 0.58 0.71 0.86 0.93 0.90 0.78 0.65 0.56 0.52 0.53 0.57 0.60 0.63 0.65 0.66 0.66 0.67 0.71 0.76 0.83 0.88 0.89 0.87 0.83 0.84 0.93 1.13 1.41 1.71 2.00 2.30 2.64 3.06 3.57 4.08 4.51 4.76 4.78 4.62 4.36 4.08 3.83 3.59 3.29 2.89 2.39 1.85 1.35 0.98 0.76 0.64 0.55 0.40 0.18 0.00 0.00 0.00 0.00 0.06 0.26 0.37 0.37 0.33 0.35 0.48 0.70 0.92 1.02 0.98 0.81 0.63 0.54 0.58 0.71 0.86 0.93 0.90 0.78 0.65 0.56 0.52 0.53 0.57 0.60 0.63 0.65 0.66 0.66 77.5 + 80.0 0.72 0.73 0.77 0.81 0.83 0.81 0.73 0.62 0.54 0.55 0.67 0.89 1.15 1.37 1.54 1.70 1.94 2.32 2.84 3.42 3.92 4.22 4.27 4.13 3.91 3.71 3.57 3.46 3.28 2.99 2.57 2.09 1.67 1.38 1.23 1.17 1.09 0.92 0.63 0.31 0.08 0.01 0.14 0.38 0.61 0.73 0.74 0.71 0.74 0.90 1.15 1.39 1.48 1.39 1.15 0.90 0.76 0.79 0.94 1.09 1.14 1.05 0.86 0.66 0.52 0.48 0.51 0.59 0.65 0.70 0.71 0.71 0.72 0.73 0.77 0.81 0.83 0.81 0.73 0.62 0.54 0.55 0.67 0.89 1.15 1.37 1.54 1.70 1.94 2.32 2.84 3.42 3.92 4.22 4.27 4.13 3.91 3.71 3.57 3.46 3.28 2.99 2.57 2.09 1.67 1.38 1.23 1.17 1.09 0.92 0.63 0.31 0.08 0.01 0.14 0.38 0.61 0.73 0.74 0.71 0.74 0.90 1.15 1.39 1.48 1.39 1.15 0.90 0.76 0.79 0.94 1.09 1.14 1.05 0.86 0.66 0.52 0.48 0.51 0.59 0.65 0.70 0.71 0.71 0.72 80.0 + 82.5 0.71 0.73 0.77 0.80 0.78 0.68 0.52 0.35 0.23 0.25 0.42 0.67 0.90 1.04 1.07 1.08 1.18 1.48 1.98 2.57 3.08 3.38 3.41 3.26 3.07 2.94 2.92 2.95 2.91 2.74 2.43 2.07 1.78 1.63 1.62 1.66 1.63 1.45 1.12 0.74 0.46 0.37 0.49 0.72 0.94 1.03 1.00 0.95 0.98 1.15 1.43 1.67 1.74 1.58 1.26 0.93 0.76 0.79 0.95 1.11 1.15 1.01 0.76 0.50 0.34 0.32 0.41 0.54 0.65 0.71 0.72 0.71 0.71 0.73 0.77 0.80 0.78 0.68 0.52 0.35 0.23 0.25 0.42 0.67 0.90 1.04 1.07 1.08 1.18 1.48 1.98 2.57 3.08 3.38 3.41 3.26 3.07 2.94 2.92 2.95 2.91 2.74 2.43 2.07 1.78 1.63 1.62 1.66 1.63 1.45 1.12 0.74 0.46 0.37 0.49 0.72 0.94 1.03 1.00 0.95 0.98 1.15 1.43 1.67 1.74 1.58 1.26 0.93 0.76 0.79 0.95 1.11 1.15 1.01 0.76 0.50 0.34 0.32 0.41 0.54 0.65 0.71 0.72 0.71 0.71 82.5 + 85.0 0.65 0.68 0.72 0.74 0.69 0.53 0.30 0.07 0.00 0.00 0.20 0.48 0.70 0.77 0.67 0.54 0.52 0.75 1.22 1.78 2.26 2.50 2.48 2.29 2.11 2.05 2.13 2.27 2.35 2.28 2.08 1.85 1.71 1.73 1.88 2.05 2.08 1.90 1.54 1.13 0.81 0.70 0.80 1.00 1.16 1.18 1.09 0.98 1.00 1.19 1.47 1.71 1.73 1.50 1.10 0.73 0.54 0.58 0.78 0.97 1.00 0.83 0.53 0.24 0.09 0.10 0.25 0.45 0.61 0.68 0.69 0.66 0.65 0.68 0.72 0.74 0.69 0.53 0.30 0.07 0.00 0.00 0.20 0.48 0.70 0.77 0.67 0.54 0.52 0.75 1.22 1.78 2.26 2.50 2.48 2.29 2.11 2.05 2.13 2.27 2.35 2.28 2.08 1.85 1.71 1.73 1.88 2.05 2.08 1.90 1.54 1.13 0.81 0.70 0.80 1.00 1.16 1.18 1.09 0.98 1.00 1.19 1.47 1.71 1.73 1.50 1.10 0.73 0.54 0.58 0.78 0.97 1.00 0.83 0.53 0.24 0.09 0.10 0.25 0.45 0.61 0.68 0.69 0.66 0.65 85.0 + 87.5 0.58 0.61 0.66 0.67 0.59 0.40 0.13 0.00 0.00 0.00 0.08 0.39 0.60 0.61 0.43 0.21 0.12 0.31 0.74 1.27 1.70 1.86 1.76 1.53 1.35 1.33 1.48 1.69 1.82 1.80 1.67 1.54 1.53 1.71 2.01 2.28 2.37 2.21 1.84 1.41 1.09 0.98 1.06 1.21 1.30 1.23 1.06 0.92 0.92 1.11 1.40 1.60 1.57 1.27 0.82 0.42 0.23 0.31 0.55 0.76 0.79 0.60 0.28 0.00 0.00 0.00 0.12 0.37 0.56 0.64 0.64 0.60 0.58 0.61 0.66 0.67 0.59 0.40 0.13 0.00 0.00 0.00 0.08 0.39 0.60 0.61 0.43 0.21 0.12 0.31 0.74 1.27 1.70 1.86 1.76 1.53 1.35 1.33 1.48 1.69 1.82 1.80 1.67 1.54 1.53 1.71 2.01 2.28 2.37 2.21 1.84 1.41 1.09 0.98 1.06 1.21 1.30 1.23 1.06 0.92 0.92 1.11 1.40 1.60 1.57 1.27 0.82 0.42 0.23 0.31 0.55 0.76 0.79 0.60 0.28 0.00 0.00 0.00 0.12 0.37 0.56 0.64 0.64 0.60 0.58 87.5 + 90.0 0.55 0.58 0.62 0.63 0.55 0.34 0.07 0.00 0.00 0.00 0.11 0.43 0.63 0.61 0.39 0.14 0.04 0.22 0.64 1.13 1.49 1.58 1.42 1.15 0.97 0.96 1.13 1.35 1.47 1.45 1.33 1.24 1.32 1.60 1.99 2.33 2.47 2.33 1.99 1.60 1.32 1.24 1.33 1.45 1.47 1.35 1.13 0.96 0.97 1.15 1.42 1.58 1.49 1.13 0.64 0.22 0.04 0.14 0.39 0.61 0.63 0.43 0.11 0.00 0.00 0.00 0.07 0.34 0.55 0.63 0.62 0.58 0.55 0.58 0.62 0.63 0.55 0.34 0.07 0.00 0.00 0.00 0.11 0.43 0.63 0.61 0.39 0.14 0.04 0.22 0.64 1.13 1.49 1.58 1.42 1.15 0.97 0.96 1.13 1.35 1.47 1.45 1.33 1.24 1.32 1.60 1.99 2.33 2.47 2.33 1.99 1.60 1.32 1.24 1.33 1.45 1.47 1.35 1.13 0.96 0.97 1.15 1.42 1.58 1.49 1.13 0.64 0.22 0.04 0.14 0.39 0.61 0.63 0.43 0.11 0.00 0.00 0.00 0.07 0.34 0.55 0.63 0.62 0.58 0.55 90.0 + + 32.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.45 ) PHI2 = 33. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.0 + 2.5 0.36 0.27 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.38 0.40 0.39 0.41 0.49 0.64 0.84 1.05 1.27 1.51 1.76 1.99 2.17 2.25 2.21 2.06 1.84 1.60 1.37 1.14 0.92 0.72 0.56 0.45 0.41 0.40 0.36 0.25 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.23 0.34 0.37 0.39 0.44 0.55 0.72 0.93 1.15 1.38 1.62 1.86 2.09 2.24 2.29 2.21 2.02 1.78 1.52 1.28 1.05 0.84 0.64 0.49 0.39 0.36 0.37 0.36 0.27 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.38 0.40 0.39 0.41 0.49 0.64 0.84 1.05 1.27 1.51 1.76 1.99 2.17 2.25 2.21 2.06 1.84 1.60 1.37 1.14 0.92 0.72 0.56 0.45 0.41 0.40 0.36 0.25 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.23 0.34 0.37 0.39 0.44 0.55 0.72 0.93 1.15 1.38 1.62 1.86 2.09 2.24 2.29 2.21 2.02 1.78 1.52 1.28 1.05 0.84 0.64 0.49 0.39 0.36 0.37 0.36 2.5 + 5.0 0.42 0.39 0.28 0.11 0.00 0.00 0.00 0.09 0.29 0.44 0.50 0.48 0.41 0.37 0.40 0.50 0.67 0.88 1.12 1.38 1.66 1.93 2.15 2.28 2.28 2.17 1.96 1.71 1.45 1.20 0.97 0.77 0.62 0.54 0.51 0.50 0.46 0.35 0.15 0.00 0.00 0.00 0.00 0.00 0.17 0.32 0.40 0.43 0.45 0.51 0.63 0.81 1.02 1.26 1.51 1.78 2.05 2.28 2.41 2.42 2.28 2.03 1.72 1.42 1.14 0.90 0.68 0.50 0.37 0.30 0.32 0.37 0.42 0.39 0.28 0.11 0.00 0.00 0.00 0.09 0.29 0.44 0.50 0.48 0.41 0.37 0.40 0.50 0.67 0.88 1.12 1.38 1.66 1.93 2.15 2.28 2.28 2.17 1.96 1.71 1.45 1.20 0.97 0.77 0.62 0.54 0.51 0.50 0.46 0.35 0.15 0.00 0.00 0.00 0.00 0.00 0.17 0.32 0.40 0.43 0.45 0.51 0.63 0.81 1.02 1.26 1.51 1.78 2.05 2.28 2.41 2.42 2.28 2.03 1.72 1.42 1.14 0.90 0.68 0.50 0.37 0.30 0.32 0.37 0.42 5.0 + 7.5 0.53 0.58 0.54 0.43 0.31 0.24 0.27 0.38 0.54 0.65 0.68 0.62 0.50 0.39 0.35 0.40 0.53 0.72 0.97 1.24 1.54 1.84 2.11 2.29 2.35 2.28 2.10 1.86 1.58 1.30 1.07 0.88 0.77 0.73 0.73 0.74 0.70 0.59 0.42 0.23 0.11 0.08 0.17 0.33 0.49 0.61 0.65 0.66 0.68 0.75 0.87 1.04 1.25 1.48 1.75 2.03 2.31 2.53 2.62 2.56 2.34 2.02 1.64 1.29 0.98 0.73 0.53 0.37 0.28 0.26 0.31 0.42 0.53 0.58 0.54 0.43 0.31 0.24 0.27 0.38 0.54 0.65 0.68 0.62 0.50 0.39 0.35 0.40 0.53 0.72 0.97 1.24 1.54 1.84 2.11 2.29 2.35 2.28 2.10 1.86 1.58 1.30 1.07 0.88 0.77 0.73 0.73 0.74 0.70 0.59 0.42 0.23 0.11 0.08 0.17 0.33 0.49 0.61 0.65 0.66 0.68 0.75 0.87 1.04 1.25 1.48 1.75 2.03 2.31 2.53 2.62 2.56 2.34 2.02 1.64 1.29 0.98 0.73 0.53 0.37 0.28 0.26 0.31 0.42 0.53 7.5 + 10.0 0.67 0.77 0.79 0.74 0.65 0.58 0.58 0.65 0.77 0.86 0.89 0.82 0.67 0.52 0.42 0.40 0.49 0.66 0.89 1.15 1.44 1.74 2.01 2.24 2.36 2.35 2.21 1.98 1.70 1.43 1.20 1.05 0.99 1.01 1.06 1.10 1.08 0.99 0.85 0.71 0.64 0.66 0.77 0.92 1.05 1.12 1.13 1.12 1.13 1.19 1.29 1.44 1.61 1.82 2.06 2.32 2.57 2.74 2.78 2.64 2.34 1.95 1.53 1.16 0.86 0.63 0.46 0.35 0.30 0.31 0.40 0.53 0.67 0.77 0.79 0.74 0.65 0.58 0.58 0.65 0.77 0.86 0.89 0.82 0.67 0.52 0.42 0.40 0.49 0.66 0.89 1.15 1.44 1.74 2.01 2.24 2.36 2.35 2.21 1.98 1.70 1.43 1.20 1.05 0.99 1.01 1.06 1.10 1.08 0.99 0.85 0.71 0.64 0.66 0.77 0.92 1.05 1.12 1.13 1.12 1.13 1.19 1.29 1.44 1.61 1.82 2.06 2.32 2.57 2.74 2.78 2.64 2.34 1.95 1.53 1.16 0.86 0.63 0.46 0.35 0.30 0.31 0.40 0.53 0.67 10.0 + 12.5 0.82 0.93 0.99 0.97 0.90 0.82 0.78 0.81 0.90 1.00 1.05 1.01 0.88 0.72 0.59 0.54 0.58 0.71 0.90 1.12 1.36 1.61 1.88 2.12 2.29 2.34 2.26 2.06 1.80 1.53 1.33 1.22 1.22 1.31 1.42 1.50 1.51 1.45 1.34 1.25 1.23 1.30 1.44 1.59 1.69 1.73 1.71 1.68 1.68 1.72 1.80 1.91 2.03 2.18 2.36 2.57 2.75 2.84 2.79 2.58 2.23 1.80 1.39 1.03 0.77 0.60 0.49 0.43 0.42 0.46 0.54 0.67 0.82 0.93 0.99 0.97 0.90 0.82 0.78 0.81 0.90 1.00 1.05 1.01 0.88 0.72 0.59 0.54 0.58 0.71 0.90 1.12 1.36 1.61 1.88 2.12 2.29 2.34 2.26 2.06 1.80 1.53 1.33 1.22 1.22 1.31 1.42 1.50 1.51 1.45 1.34 1.25 1.23 1.30 1.44 1.59 1.69 1.73 1.71 1.68 1.68 1.72 1.80 1.91 2.03 2.18 2.36 2.57 2.75 2.84 2.79 2.58 2.23 1.80 1.39 1.03 0.77 0.60 0.49 0.43 0.42 0.46 0.54 0.67 0.82 12.5 + 15.0 0.89 1.01 1.08 1.09 1.03 0.94 0.86 0.85 0.91 1.01 1.10 1.11 1.04 0.91 0.77 0.70 0.71 0.80 0.94 1.10 1.28 1.48 1.71 1.96 2.16 2.26 2.24 2.08 1.84 1.59 1.40 1.32 1.36 1.49 1.66 1.78 1.83 1.79 1.72 1.67 1.69 1.81 1.97 2.12 2.21 2.21 2.17 2.12 2.10 2.14 2.21 2.28 2.37 2.46 2.57 2.69 2.77 2.76 2.63 2.35 1.97 1.56 1.18 0.89 0.69 0.59 0.55 0.54 0.56 0.60 0.67 0.77 0.89 1.01 1.08 1.09 1.03 0.94 0.86 0.85 0.91 1.01 1.10 1.11 1.04 0.91 0.77 0.70 0.71 0.80 0.94 1.10 1.28 1.48 1.71 1.96 2.16 2.26 2.24 2.08 1.84 1.59 1.40 1.32 1.36 1.49 1.66 1.78 1.83 1.79 1.72 1.67 1.69 1.81 1.97 2.12 2.21 2.21 2.17 2.12 2.10 2.14 2.21 2.28 2.37 2.46 2.57 2.69 2.77 2.76 2.63 2.35 1.97 1.56 1.18 0.89 0.69 0.59 0.55 0.54 0.56 0.60 0.67 0.77 0.89 15.0 + 17.5 0.85 0.96 1.05 1.09 1.05 0.95 0.83 0.77 0.79 0.88 1.00 1.08 1.06 0.98 0.87 0.79 0.78 0.84 0.94 1.06 1.18 1.34 1.55 1.79 2.01 2.15 2.17 2.05 1.84 1.59 1.39 1.31 1.35 1.49 1.67 1.83 1.90 1.91 1.87 1.86 1.91 2.04 2.22 2.36 2.43 2.41 2.34 2.27 2.25 2.28 2.35 2.43 2.50 2.56 2.60 2.63 2.61 2.50 2.28 1.97 1.59 1.22 0.91 0.69 0.56 0.52 0.53 0.56 0.60 0.65 0.69 0.76 0.85 0.96 1.05 1.09 1.05 0.95 0.83 0.77 0.79 0.88 1.00 1.08 1.06 0.98 0.87 0.79 0.78 0.84 0.94 1.06 1.18 1.34 1.55 1.79 2.01 2.15 2.17 2.05 1.84 1.59 1.39 1.31 1.35 1.49 1.67 1.83 1.90 1.91 1.87 1.86 1.91 2.04 2.22 2.36 2.43 2.41 2.34 2.27 2.25 2.28 2.35 2.43 2.50 2.56 2.60 2.63 2.61 2.50 2.28 1.97 1.59 1.22 0.91 0.69 0.56 0.52 0.53 0.56 0.60 0.65 0.69 0.76 0.85 17.5 + 20.0 0.68 0.80 0.93 1.01 1.00 0.89 0.74 0.62 0.58 0.65 0.78 0.89 0.93 0.89 0.81 0.74 0.73 0.78 0.86 0.96 1.07 1.21 1.41 1.64 1.87 2.04 2.08 1.99 1.78 1.53 1.32 1.20 1.21 1.32 1.49 1.66 1.77 1.81 1.82 1.85 1.93 2.07 2.24 2.37 2.41 2.37 2.27 2.18 2.15 2.18 2.27 2.36 2.43 2.47 2.47 2.41 2.29 2.09 1.82 1.49 1.14 0.83 0.59 0.43 0.35 0.34 0.38 0.44 0.49 0.53 0.56 0.61 0.68 0.80 0.93 1.01 1.00 0.89 0.74 0.62 0.58 0.65 0.78 0.89 0.93 0.89 0.81 0.74 0.73 0.78 0.86 0.96 1.07 1.21 1.41 1.64 1.87 2.04 2.08 1.99 1.78 1.53 1.32 1.20 1.21 1.32 1.49 1.66 1.77 1.81 1.82 1.85 1.93 2.07 2.24 2.37 2.41 2.37 2.27 2.18 2.15 2.18 2.27 2.36 2.43 2.47 2.47 2.41 2.29 2.09 1.82 1.49 1.14 0.83 0.59 0.43 0.35 0.34 0.38 0.44 0.49 0.53 0.56 0.61 0.68 20.0 + 22.5 0.43 0.56 0.72 0.85 0.89 0.80 0.62 0.44 0.35 0.37 0.49 0.62 0.70 0.69 0.64 0.58 0.57 0.63 0.72 0.83 0.95 1.10 1.29 1.51 1.74 1.91 1.96 1.89 1.70 1.46 1.23 1.08 1.04 1.10 1.25 1.41 1.56 1.66 1.74 1.82 1.94 2.09 2.26 2.38 2.41 2.35 2.23 2.11 2.04 2.05 2.13 2.22 2.28 2.30 2.24 2.10 1.89 1.61 1.30 0.98 0.69 0.45 0.26 0.14 0.08 0.08 0.12 0.18 0.25 0.29 0.32 0.35 0.43 0.56 0.72 0.85 0.89 0.80 0.62 0.44 0.35 0.37 0.49 0.62 0.70 0.69 0.64 0.58 0.57 0.63 0.72 0.83 0.95 1.10 1.29 1.51 1.74 1.91 1.96 1.89 1.70 1.46 1.23 1.08 1.04 1.10 1.25 1.41 1.56 1.66 1.74 1.82 1.94 2.09 2.26 2.38 2.41 2.35 2.23 2.11 2.04 2.05 2.13 2.22 2.28 2.30 2.24 2.10 1.89 1.61 1.30 0.98 0.69 0.45 0.26 0.14 0.08 0.08 0.12 0.18 0.25 0.29 0.32 0.35 0.43 22.5 + 25.0 0.15 0.29 0.48 0.66 0.73 0.67 0.49 0.28 0.14 0.12 0.22 0.35 0.45 0.48 0.44 0.40 0.39 0.45 0.56 0.69 0.83 0.98 1.16 1.37 1.57 1.72 1.77 1.72 1.57 1.37 1.17 1.02 0.95 0.98 1.10 1.27 1.45 1.63 1.79 1.95 2.13 2.32 2.50 2.63 2.67 2.61 2.47 2.32 2.20 2.15 2.16 2.20 2.21 2.16 2.02 1.79 1.49 1.16 0.82 0.53 0.30 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.06 0.09 0.15 0.29 0.48 0.66 0.73 0.67 0.49 0.28 0.14 0.12 0.22 0.35 0.45 0.48 0.44 0.40 0.39 0.45 0.56 0.69 0.83 0.98 1.16 1.37 1.57 1.72 1.77 1.72 1.57 1.37 1.17 1.02 0.95 0.98 1.10 1.27 1.45 1.63 1.79 1.95 2.13 2.32 2.50 2.63 2.67 2.61 2.47 2.32 2.20 2.15 2.16 2.20 2.21 2.16 2.02 1.79 1.49 1.16 0.82 0.53 0.30 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.06 0.09 0.15 25.0 + 27.5 0.00 0.05 0.24 0.44 0.55 0.52 0.35 0.14 0.00 0.00 0.03 0.17 0.28 0.32 0.30 0.27 0.27 0.33 0.44 0.58 0.72 0.85 1.00 1.16 1.32 1.44 1.49 1.47 1.39 1.27 1.15 1.05 1.00 1.02 1.12 1.29 1.51 1.77 2.02 2.28 2.53 2.78 3.00 3.17 3.25 3.22 3.09 2.91 2.72 2.57 2.47 2.39 2.29 2.14 1.89 1.55 1.17 0.78 0.45 0.19 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.24 0.44 0.55 0.52 0.35 0.14 0.00 0.00 0.03 0.17 0.28 0.32 0.30 0.27 0.27 0.33 0.44 0.58 0.72 0.85 1.00 1.16 1.32 1.44 1.49 1.47 1.39 1.27 1.15 1.05 1.00 1.02 1.12 1.29 1.51 1.77 2.02 2.28 2.53 2.78 3.00 3.17 3.25 3.22 3.09 2.91 2.72 2.57 2.47 2.39 2.29 2.14 1.89 1.55 1.17 0.78 0.45 0.19 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 27.5 + 30.0 0.00 0.00 0.03 0.22 0.36 0.36 0.23 0.05 0.00 0.00 0.00 0.08 0.20 0.26 0.25 0.22 0.23 0.28 0.37 0.48 0.59 0.69 0.79 0.90 1.00 1.08 1.13 1.14 1.14 1.14 1.13 1.13 1.14 1.18 1.27 1.43 1.67 1.97 2.30 2.64 2.97 3.28 3.56 3.79 3.93 3.96 3.87 3.68 3.43 3.18 2.94 2.72 2.49 2.20 1.84 1.41 0.96 0.54 0.21 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.22 0.36 0.36 0.23 0.05 0.00 0.00 0.00 0.08 0.20 0.26 0.25 0.22 0.23 0.28 0.37 0.48 0.59 0.69 0.79 0.90 1.00 1.08 1.13 1.14 1.14 1.14 1.13 1.13 1.14 1.18 1.27 1.43 1.67 1.97 2.30 2.64 2.97 3.28 3.56 3.79 3.93 3.96 3.87 3.68 3.43 3.18 2.94 2.72 2.49 2.20 1.84 1.41 0.96 0.54 0.21 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 30.0 + 32.5 0.00 0.00 0.00 0.05 0.20 0.24 0.16 0.02 0.00 0.00 0.00 0.06 0.18 0.25 0.26 0.25 0.24 0.27 0.33 0.39 0.45 0.51 0.56 0.62 0.67 0.72 0.75 0.80 0.87 0.97 1.08 1.19 1.27 1.32 1.39 1.52 1.74 2.04 2.41 2.79 3.17 3.52 3.84 4.12 4.33 4.43 4.40 4.23 3.96 3.64 3.30 2.97 2.63 2.25 1.82 1.34 0.86 0.43 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.20 0.24 0.16 0.02 0.00 0.00 0.00 0.06 0.18 0.25 0.26 0.25 0.24 0.27 0.33 0.39 0.45 0.51 0.56 0.62 0.67 0.72 0.75 0.80 0.87 0.97 1.08 1.19 1.27 1.32 1.39 1.52 1.74 2.04 2.41 2.79 3.17 3.52 3.84 4.12 4.33 4.43 4.40 4.23 3.96 3.64 3.30 2.97 2.63 2.25 1.82 1.34 0.86 0.43 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 32.5 + 35.0 0.00 0.00 0.00 0.00 0.11 0.18 0.15 0.06 0.00 0.00 0.00 0.07 0.18 0.26 0.29 0.29 0.28 0.28 0.29 0.30 0.32 0.34 0.37 0.41 0.44 0.45 0.47 0.52 0.62 0.78 0.98 1.16 1.28 1.34 1.37 1.44 1.59 1.85 2.19 2.56 2.92 3.26 3.57 3.86 4.11 4.28 4.32 4.21 3.97 3.64 3.28 2.91 2.55 2.17 1.75 1.28 0.82 0.42 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.18 0.15 0.06 0.00 0.00 0.00 0.07 0.18 0.26 0.29 0.29 0.28 0.28 0.29 0.30 0.32 0.34 0.37 0.41 0.44 0.45 0.47 0.52 0.62 0.78 0.98 1.16 1.28 1.34 1.37 1.44 1.59 1.85 2.19 2.56 2.92 3.26 3.57 3.86 4.11 4.28 4.32 4.21 3.97 3.64 3.28 2.91 2.55 2.17 1.75 1.28 0.82 0.42 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 35.0 + 37.5 0.00 0.00 0.00 0.00 0.10 0.20 0.22 0.16 0.07 0.00 0.00 0.06 0.16 0.25 0.31 0.34 0.33 0.30 0.26 0.23 0.22 0.24 0.28 0.34 0.37 0.37 0.35 0.37 0.45 0.62 0.84 1.04 1.17 1.20 1.17 1.16 1.23 1.42 1.69 1.99 2.28 2.54 2.78 3.02 3.26 3.46 3.57 3.53 3.36 3.09 2.78 2.47 2.18 1.89 1.57 1.20 0.82 0.48 0.22 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.14 0.10 0.00 0.00 0.00 0.00 0.00 0.10 0.20 0.22 0.16 0.07 0.00 0.00 0.06 0.16 0.25 0.31 0.34 0.33 0.30 0.26 0.23 0.22 0.24 0.28 0.34 0.37 0.37 0.35 0.37 0.45 0.62 0.84 1.04 1.17 1.20 1.17 1.16 1.23 1.42 1.69 1.99 2.28 2.54 2.78 3.02 3.26 3.46 3.57 3.53 3.36 3.09 2.78 2.47 2.18 1.89 1.57 1.20 0.82 0.48 0.22 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.14 0.10 0.00 0.00 37.5 + 40.0 0.00 0.00 0.00 0.00 0.13 0.26 0.32 0.28 0.19 0.08 0.03 0.04 0.12 0.24 0.34 0.40 0.41 0.35 0.27 0.20 0.18 0.22 0.32 0.41 0.46 0.45 0.40 0.36 0.40 0.53 0.71 0.89 0.97 0.95 0.86 0.79 0.79 0.91 1.11 1.32 1.49 1.61 1.73 1.87 2.05 2.25 2.39 2.43 2.34 2.15 1.94 1.74 1.59 1.45 1.29 1.07 0.80 0.53 0.31 0.18 0.12 0.10 0.08 0.03 0.00 0.00 0.00 0.07 0.17 0.21 0.18 0.07 0.00 0.00 0.00 0.00 0.13 0.26 0.32 0.28 0.19 0.08 0.03 0.04 0.12 0.24 0.34 0.40 0.41 0.35 0.27 0.20 0.18 0.22 0.32 0.41 0.46 0.45 0.40 0.36 0.40 0.53 0.71 0.89 0.97 0.95 0.86 0.79 0.79 0.91 1.11 1.32 1.49 1.61 1.73 1.87 2.05 2.25 2.39 2.43 2.34 2.15 1.94 1.74 1.59 1.45 1.29 1.07 0.80 0.53 0.31 0.18 0.12 0.10 0.08 0.03 0.00 0.00 0.00 0.07 0.17 0.21 0.18 0.07 0.00 40.0 + 42.5 0.01 0.00 0.00 0.00 0.15 0.31 0.40 0.38 0.27 0.13 0.03 0.01 0.10 0.25 0.41 0.51 0.52 0.43 0.31 0.21 0.20 0.28 0.43 0.57 0.65 0.62 0.53 0.44 0.43 0.51 0.64 0.76 0.78 0.71 0.57 0.46 0.45 0.54 0.68 0.81 0.86 0.83 0.79 0.80 0.90 1.07 1.22 1.30 1.27 1.16 1.03 0.94 0.93 0.95 0.95 0.88 0.73 0.54 0.37 0.26 0.22 0.23 0.24 0.23 0.19 0.15 0.14 0.18 0.23 0.26 0.23 0.13 0.01 0.00 0.00 0.00 0.15 0.31 0.40 0.38 0.27 0.13 0.03 0.01 0.10 0.25 0.41 0.51 0.52 0.43 0.31 0.21 0.20 0.28 0.43 0.57 0.65 0.62 0.53 0.44 0.43 0.51 0.64 0.76 0.78 0.71 0.57 0.46 0.45 0.54 0.68 0.81 0.86 0.83 0.79 0.80 0.90 1.07 1.22 1.30 1.27 1.16 1.03 0.94 0.93 0.95 0.95 0.88 0.73 0.54 0.37 0.26 0.22 0.23 0.24 0.23 0.19 0.15 0.14 0.18 0.23 0.26 0.23 0.13 0.01 42.5 + 45.0 0.08 0.00 0.00 0.00 0.12 0.28 0.40 0.40 0.30 0.14 0.01 0.00 0.09 0.30 0.52 0.65 0.65 0.53 0.36 0.24 0.24 0.36 0.56 0.73 0.80 0.76 0.65 0.54 0.50 0.55 0.64 0.70 0.66 0.53 0.38 0.28 0.29 0.40 0.54 0.62 0.57 0.41 0.23 0.13 0.15 0.27 0.42 0.52 0.51 0.42 0.33 0.30 0.37 0.50 0.62 0.67 0.62 0.50 0.37 0.29 0.29 0.34 0.40 0.42 0.39 0.33 0.28 0.26 0.28 0.30 0.28 0.20 0.08 0.00 0.00 0.00 0.12 0.28 0.40 0.40 0.30 0.14 0.01 0.00 0.09 0.30 0.52 0.65 0.65 0.53 0.36 0.24 0.24 0.36 0.56 0.73 0.80 0.76 0.65 0.54 0.50 0.55 0.64 0.70 0.66 0.53 0.38 0.28 0.29 0.40 0.54 0.62 0.57 0.41 0.23 0.13 0.15 0.27 0.42 0.52 0.51 0.42 0.33 0.30 0.37 0.50 0.62 0.67 0.62 0.50 0.37 0.29 0.29 0.34 0.40 0.42 0.39 0.33 0.28 0.26 0.28 0.30 0.28 0.20 0.08 45.0 + 47.5 0.17 0.03 0.00 0.00 0.03 0.19 0.32 0.35 0.26 0.10 0.00 0.00 0.11 0.37 0.63 0.78 0.76 0.60 0.39 0.25 0.26 0.41 0.62 0.80 0.86 0.80 0.68 0.58 0.57 0.63 0.71 0.72 0.62 0.45 0.28 0.21 0.29 0.46 0.63 0.69 0.59 0.35 0.08 0.00 0.00 0.00 0.12 0.21 0.19 0.09 0.00 0.00 0.03 0.19 0.37 0.49 0.50 0.43 0.34 0.30 0.34 0.43 0.53 0.58 0.56 0.47 0.37 0.31 0.31 0.34 0.34 0.29 0.17 0.03 0.00 0.00 0.03 0.19 0.32 0.35 0.26 0.10 0.00 0.00 0.11 0.37 0.63 0.78 0.76 0.60 0.39 0.25 0.26 0.41 0.62 0.80 0.86 0.80 0.68 0.58 0.57 0.63 0.71 0.72 0.62 0.45 0.28 0.21 0.29 0.46 0.63 0.69 0.59 0.35 0.08 0.00 0.00 0.00 0.12 0.21 0.19 0.09 0.00 0.00 0.03 0.19 0.37 0.49 0.50 0.43 0.34 0.30 0.34 0.43 0.53 0.58 0.56 0.47 0.37 0.31 0.31 0.34 0.34 0.29 0.17 47.5 + 50.0 0.29 0.11 0.00 0.00 0.00 0.09 0.23 0.27 0.20 0.05 0.00 0.00 0.13 0.42 0.70 0.84 0.80 0.60 0.36 0.22 0.24 0.40 0.62 0.78 0.81 0.74 0.63 0.58 0.63 0.74 0.82 0.80 0.65 0.43 0.25 0.21 0.34 0.57 0.78 0.86 0.74 0.47 0.17 0.00 0.00 0.04 0.19 0.29 0.26 0.13 0.00 0.00 0.00 0.08 0.25 0.38 0.42 0.38 0.33 0.32 0.39 0.51 0.63 0.68 0.64 0.52 0.40 0.32 0.32 0.38 0.43 0.40 0.29 0.11 0.00 0.00 0.00 0.09 0.23 0.27 0.20 0.05 0.00 0.00 0.13 0.42 0.70 0.84 0.80 0.60 0.36 0.22 0.24 0.40 0.62 0.78 0.81 0.74 0.63 0.58 0.63 0.74 0.82 0.80 0.65 0.43 0.25 0.21 0.34 0.57 0.78 0.86 0.74 0.47 0.17 0.00 0.00 0.04 0.19 0.29 0.26 0.13 0.00 0.00 0.00 0.08 0.25 0.38 0.42 0.38 0.33 0.32 0.39 0.51 0.63 0.68 0.64 0.52 0.40 0.32 0.32 0.38 0.43 0.40 0.29 50.0 + 52.5 0.45 0.25 0.06 0.00 0.00 0.07 0.20 0.25 0.18 0.04 0.00 0.00 0.16 0.45 0.72 0.83 0.75 0.52 0.27 0.14 0.18 0.37 0.58 0.72 0.73 0.65 0.58 0.59 0.70 0.86 0.96 0.91 0.71 0.44 0.23 0.19 0.34 0.60 0.84 0.93 0.83 0.59 0.32 0.15 0.14 0.26 0.43 0.53 0.51 0.37 0.20 0.08 0.06 0.15 0.28 0.39 0.43 0.41 0.37 0.38 0.46 0.58 0.68 0.70 0.63 0.48 0.34 0.27 0.30 0.41 0.52 0.55 0.45 0.25 0.06 0.00 0.00 0.07 0.20 0.25 0.18 0.04 0.00 0.00 0.16 0.45 0.72 0.83 0.75 0.52 0.27 0.14 0.18 0.37 0.58 0.72 0.73 0.65 0.58 0.59 0.70 0.86 0.96 0.91 0.71 0.44 0.23 0.19 0.34 0.60 0.84 0.93 0.83 0.59 0.32 0.15 0.14 0.26 0.43 0.53 0.51 0.37 0.20 0.08 0.06 0.15 0.28 0.39 0.43 0.41 0.37 0.38 0.46 0.58 0.68 0.70 0.63 0.48 0.34 0.27 0.30 0.41 0.52 0.55 0.45 52.5 + 55.0 0.64 0.46 0.25 0.11 0.10 0.19 0.30 0.33 0.26 0.13 0.03 0.05 0.23 0.49 0.71 0.78 0.66 0.42 0.19 0.09 0.17 0.36 0.57 0.68 0.67 0.60 0.56 0.62 0.79 0.98 1.07 0.99 0.75 0.44 0.20 0.14 0.27 0.52 0.75 0.86 0.79 0.61 0.41 0.29 0.32 0.47 0.65 0.76 0.76 0.65 0.50 0.37 0.32 0.36 0.44 0.50 0.53 0.51 0.48 0.48 0.54 0.62 0.67 0.65 0.53 0.36 0.21 0.17 0.26 0.44 0.62 0.71 0.64 0.46 0.25 0.11 0.10 0.19 0.30 0.33 0.26 0.13 0.03 0.05 0.23 0.49 0.71 0.78 0.66 0.42 0.19 0.09 0.17 0.36 0.57 0.68 0.67 0.60 0.56 0.62 0.79 0.98 1.07 0.99 0.75 0.44 0.20 0.14 0.27 0.52 0.75 0.86 0.79 0.61 0.41 0.29 0.32 0.47 0.65 0.76 0.76 0.65 0.50 0.37 0.32 0.36 0.44 0.50 0.53 0.51 0.48 0.48 0.54 0.62 0.67 0.65 0.53 0.36 0.21 0.17 0.26 0.44 0.62 0.71 0.64 55.0 + 57.5 0.83 0.69 0.50 0.37 0.35 0.42 0.51 0.54 0.46 0.32 0.21 0.22 0.36 0.57 0.75 0.77 0.64 0.41 0.21 0.15 0.24 0.44 0.62 0.71 0.69 0.62 0.60 0.68 0.87 1.05 1.12 1.01 0.75 0.42 0.16 0.07 0.16 0.37 0.57 0.68 0.66 0.56 0.44 0.40 0.45 0.59 0.75 0.87 0.91 0.86 0.76 0.66 0.61 0.61 0.63 0.65 0.65 0.61 0.58 0.57 0.59 0.61 0.61 0.53 0.38 0.21 0.08 0.08 0.22 0.46 0.70 0.85 0.83 0.69 0.50 0.37 0.35 0.42 0.51 0.54 0.46 0.32 0.21 0.22 0.36 0.57 0.75 0.77 0.64 0.41 0.21 0.15 0.24 0.44 0.62 0.71 0.69 0.62 0.60 0.68 0.87 1.05 1.12 1.01 0.75 0.42 0.16 0.07 0.16 0.37 0.57 0.68 0.66 0.56 0.44 0.40 0.45 0.59 0.75 0.87 0.91 0.86 0.76 0.66 0.61 0.61 0.63 0.65 0.65 0.61 0.58 0.57 0.59 0.61 0.61 0.53 0.38 0.21 0.08 0.08 0.22 0.46 0.70 0.85 0.83 57.5 + 60.0 0.95 0.86 0.72 0.62 0.62 0.70 0.78 0.80 0.72 0.58 0.47 0.46 0.57 0.74 0.88 0.89 0.76 0.57 0.41 0.37 0.47 0.63 0.78 0.82 0.78 0.70 0.67 0.74 0.89 1.03 1.06 0.93 0.66 0.35 0.11 0.01 0.06 0.21 0.37 0.48 0.52 0.50 0.47 0.48 0.54 0.64 0.75 0.84 0.90 0.91 0.88 0.85 0.81 0.78 0.76 0.73 0.69 0.64 0.60 0.57 0.55 0.54 0.49 0.38 0.23 0.08 0.00 0.02 0.20 0.47 0.75 0.92 0.95 0.86 0.72 0.62 0.62 0.70 0.78 0.80 0.72 0.58 0.47 0.46 0.57 0.74 0.88 0.89 0.76 0.57 0.41 0.37 0.47 0.63 0.78 0.82 0.78 0.70 0.67 0.74 0.89 1.03 1.06 0.93 0.66 0.35 0.11 0.01 0.06 0.21 0.37 0.48 0.52 0.50 0.47 0.48 0.54 0.64 0.75 0.84 0.90 0.91 0.88 0.85 0.81 0.78 0.76 0.73 0.69 0.64 0.60 0.57 0.55 0.54 0.49 0.38 0.23 0.08 0.00 0.02 0.20 0.47 0.75 0.92 0.95 60.0 + 62.5 0.96 0.90 0.82 0.77 0.81 0.92 1.01 1.04 0.97 0.85 0.75 0.74 0.84 0.99 1.12 1.15 1.07 0.93 0.82 0.80 0.88 0.99 1.07 1.05 0.96 0.85 0.78 0.80 0.87 0.92 0.89 0.74 0.49 0.23 0.03 0.00 0.00 0.07 0.20 0.31 0.39 0.45 0.49 0.53 0.57 0.61 0.64 0.68 0.73 0.79 0.83 0.85 0.84 0.80 0.73 0.66 0.60 0.54 0.49 0.45 0.43 0.40 0.34 0.25 0.12 0.01 0.00 0.02 0.20 0.46 0.72 0.90 0.96 0.90 0.82 0.77 0.81 0.92 1.01 1.04 0.97 0.85 0.75 0.74 0.84 0.99 1.12 1.15 1.07 0.93 0.82 0.80 0.88 0.99 1.07 1.05 0.96 0.85 0.78 0.80 0.87 0.92 0.89 0.74 0.49 0.23 0.03 0.00 0.00 0.07 0.20 0.31 0.39 0.45 0.49 0.53 0.57 0.61 0.64 0.68 0.73 0.79 0.83 0.85 0.84 0.80 0.73 0.66 0.60 0.54 0.49 0.45 0.43 0.40 0.34 0.25 0.12 0.01 0.00 0.02 0.20 0.46 0.72 0.90 0.96 62.5 + 65.0 0.83 0.80 0.77 0.78 0.87 1.01 1.14 1.19 1.15 1.06 0.98 1.00 1.11 1.28 1.44 1.53 1.52 1.47 1.43 1.44 1.49 1.55 1.54 1.46 1.30 1.13 1.00 0.93 0.89 0.83 0.72 0.53 0.30 0.09 0.00 0.00 0.00 0.00 0.05 0.14 0.24 0.35 0.44 0.51 0.52 0.49 0.45 0.42 0.44 0.51 0.60 0.66 0.67 0.63 0.54 0.45 0.37 0.31 0.28 0.27 0.26 0.25 0.22 0.16 0.08 0.02 0.00 0.06 0.21 0.43 0.64 0.78 0.83 0.80 0.77 0.78 0.87 1.01 1.14 1.19 1.15 1.06 0.98 1.00 1.11 1.28 1.44 1.53 1.52 1.47 1.43 1.44 1.49 1.55 1.54 1.46 1.30 1.13 1.00 0.93 0.89 0.83 0.72 0.53 0.30 0.09 0.00 0.00 0.00 0.00 0.05 0.14 0.24 0.35 0.44 0.51 0.52 0.49 0.45 0.42 0.44 0.51 0.60 0.66 0.67 0.63 0.54 0.45 0.37 0.31 0.28 0.27 0.26 0.25 0.22 0.16 0.08 0.02 0.00 0.06 0.21 0.43 0.64 0.78 0.83 65.0 + 67.5 0.63 0.61 0.61 0.67 0.81 1.00 1.16 1.25 1.24 1.18 1.14 1.19 1.34 1.56 1.78 1.95 2.06 2.12 2.17 2.24 2.31 2.33 2.26 2.10 1.88 1.64 1.43 1.25 1.09 0.91 0.69 0.44 0.19 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.16 0.28 0.36 0.37 0.30 0.19 0.11 0.10 0.16 0.27 0.37 0.41 0.37 0.29 0.19 0.11 0.09 0.10 0.13 0.16 0.17 0.18 0.16 0.12 0.09 0.08 0.13 0.23 0.37 0.51 0.60 0.63 0.61 0.61 0.67 0.81 1.00 1.16 1.25 1.24 1.18 1.14 1.19 1.34 1.56 1.78 1.95 2.06 2.12 2.17 2.24 2.31 2.33 2.26 2.10 1.88 1.64 1.43 1.25 1.09 0.91 0.69 0.44 0.19 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.16 0.28 0.36 0.37 0.30 0.19 0.11 0.10 0.16 0.27 0.37 0.41 0.37 0.29 0.19 0.11 0.09 0.10 0.13 0.16 0.17 0.18 0.16 0.12 0.09 0.08 0.13 0.23 0.37 0.51 0.60 0.63 67.5 + 70.0 0.43 0.42 0.45 0.55 0.72 0.94 1.12 1.23 1.24 1.22 1.22 1.31 1.51 1.78 2.07 2.34 2.56 2.76 2.94 3.12 3.25 3.29 3.21 3.00 2.72 2.42 2.13 1.85 1.58 1.27 0.93 0.58 0.28 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.16 0.18 0.11 0.00 0.00 0.00 0.00 0.02 0.15 0.22 0.20 0.12 0.03 0.00 0.00 0.05 0.12 0.19 0.24 0.26 0.25 0.23 0.21 0.19 0.20 0.24 0.31 0.38 0.42 0.43 0.42 0.45 0.55 0.72 0.94 1.12 1.23 1.24 1.22 1.22 1.31 1.51 1.78 2.07 2.34 2.56 2.76 2.94 3.12 3.25 3.29 3.21 3.00 2.72 2.42 2.13 1.85 1.58 1.27 0.93 0.58 0.28 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.16 0.18 0.11 0.00 0.00 0.00 0.00 0.02 0.15 0.22 0.20 0.12 0.03 0.00 0.00 0.05 0.12 0.19 0.24 0.26 0.25 0.23 0.21 0.19 0.20 0.24 0.31 0.38 0.42 0.43 70.0 + 72.5 0.32 0.32 0.36 0.48 0.68 0.90 1.08 1.18 1.20 1.19 1.23 1.36 1.61 1.93 2.27 2.60 2.93 3.25 3.59 3.92 4.17 4.29 4.23 4.02 3.70 3.35 3.01 2.67 2.31 1.90 1.45 1.00 0.61 0.33 0.18 0.11 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.09 0.06 0.00 0.00 0.00 0.00 0.00 0.16 0.26 0.26 0.18 0.09 0.05 0.09 0.19 0.30 0.40 0.44 0.44 0.41 0.37 0.32 0.29 0.27 0.27 0.29 0.32 0.32 0.32 0.32 0.36 0.48 0.68 0.90 1.08 1.18 1.20 1.19 1.23 1.36 1.61 1.93 2.27 2.60 2.93 3.25 3.59 3.92 4.17 4.29 4.23 4.02 3.70 3.35 3.01 2.67 2.31 1.90 1.45 1.00 0.61 0.33 0.18 0.11 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.09 0.06 0.00 0.00 0.00 0.00 0.00 0.16 0.26 0.26 0.18 0.09 0.05 0.09 0.19 0.30 0.40 0.44 0.44 0.41 0.37 0.32 0.29 0.27 0.27 0.29 0.32 0.32 0.32 72.5 + 75.0 0.30 0.31 0.38 0.51 0.69 0.89 1.04 1.10 1.10 1.10 1.17 1.35 1.63 1.97 2.32 2.67 3.04 3.47 3.96 4.45 4.85 5.08 5.08 4.88 4.55 4.18 3.81 3.46 3.07 2.61 2.09 1.55 1.09 0.77 0.59 0.50 0.41 0.28 0.08 0.00 0.00 0.00 0.00 0.08 0.22 0.24 0.17 0.06 0.02 0.10 0.28 0.47 0.58 0.56 0.46 0.34 0.29 0.33 0.46 0.59 0.68 0.70 0.64 0.56 0.47 0.40 0.35 0.32 0.31 0.32 0.32 0.31 0.30 0.31 0.38 0.51 0.69 0.89 1.04 1.10 1.10 1.10 1.17 1.35 1.63 1.97 2.32 2.67 3.04 3.47 3.96 4.45 4.85 5.08 5.08 4.88 4.55 4.18 3.81 3.46 3.07 2.61 2.09 1.55 1.09 0.77 0.59 0.50 0.41 0.28 0.08 0.00 0.00 0.00 0.00 0.08 0.22 0.24 0.17 0.06 0.02 0.10 0.28 0.47 0.58 0.56 0.46 0.34 0.29 0.33 0.46 0.59 0.68 0.70 0.64 0.56 0.47 0.40 0.35 0.32 0.31 0.32 0.32 0.31 0.30 75.0 + 77.5 0.34 0.37 0.44 0.57 0.73 0.87 0.95 0.96 0.93 0.93 1.03 1.25 1.55 1.88 2.18 2.48 2.84 3.31 3.89 4.53 5.07 5.40 5.45 5.26 4.93 4.57 4.24 3.93 3.57 3.13 2.59 2.03 1.55 1.23 1.06 0.98 0.90 0.73 0.47 0.19 0.01 0.00 0.14 0.37 0.56 0.64 0.58 0.49 0.46 0.56 0.76 0.96 1.06 1.00 0.82 0.63 0.53 0.57 0.70 0.85 0.91 0.87 0.75 0.59 0.45 0.37 0.34 0.33 0.34 0.35 0.35 0.35 0.34 0.37 0.44 0.57 0.73 0.87 0.95 0.96 0.93 0.93 1.03 1.25 1.55 1.88 2.18 2.48 2.84 3.31 3.89 4.53 5.07 5.40 5.45 5.26 4.93 4.57 4.24 3.93 3.57 3.13 2.59 2.03 1.55 1.23 1.06 0.98 0.90 0.73 0.47 0.19 0.01 0.00 0.14 0.37 0.56 0.64 0.58 0.49 0.46 0.56 0.76 0.96 1.06 1.00 0.82 0.63 0.53 0.57 0.70 0.85 0.91 0.87 0.75 0.59 0.45 0.37 0.34 0.33 0.34 0.35 0.35 0.35 0.34 77.5 + 80.0 0.36 0.39 0.47 0.59 0.71 0.78 0.77 0.70 0.64 0.65 0.79 1.04 1.35 1.62 1.83 2.02 2.29 2.74 3.37 4.09 4.73 5.12 5.19 5.00 4.68 4.35 4.09 3.87 3.60 3.23 2.75 2.24 1.81 1.55 1.45 1.44 1.40 1.22 0.93 0.59 0.37 0.33 0.50 0.76 0.99 1.07 1.02 0.93 0.91 1.03 1.25 1.45 1.49 1.35 1.06 0.77 0.61 0.63 0.77 0.92 0.96 0.86 0.66 0.44 0.28 0.22 0.23 0.28 0.33 0.36 0.37 0.36 0.36 0.39 0.47 0.59 0.71 0.78 0.77 0.70 0.64 0.65 0.79 1.04 1.35 1.62 1.83 2.02 2.29 2.74 3.37 4.09 4.73 5.12 5.19 5.00 4.68 4.35 4.09 3.87 3.60 3.23 2.75 2.24 1.81 1.55 1.45 1.44 1.40 1.22 0.93 0.59 0.37 0.33 0.50 0.76 0.99 1.07 1.02 0.93 0.91 1.03 1.25 1.45 1.49 1.35 1.06 0.77 0.61 0.63 0.77 0.92 0.96 0.86 0.66 0.44 0.28 0.22 0.23 0.28 0.33 0.36 0.37 0.36 0.36 80.0 + 82.5 0.29 0.33 0.41 0.51 0.58 0.57 0.48 0.34 0.23 0.26 0.44 0.73 1.02 1.21 1.29 1.34 1.49 1.88 2.51 3.26 3.92 4.32 4.37 4.16 3.84 3.57 3.41 3.31 3.17 2.91 2.52 2.11 1.79 1.65 1.67 1.76 1.78 1.62 1.30 0.94 0.68 0.65 0.82 1.09 1.31 1.37 1.29 1.17 1.16 1.30 1.54 1.72 1.70 1.45 1.04 0.65 0.43 0.44 0.60 0.76 0.79 0.65 0.39 0.13 0.00 0.00 0.03 0.16 0.26 0.31 0.31 0.29 0.29 0.33 0.41 0.51 0.58 0.57 0.48 0.34 0.23 0.26 0.44 0.73 1.02 1.21 1.29 1.34 1.49 1.88 2.51 3.26 3.92 4.32 4.37 4.16 3.84 3.57 3.41 3.31 3.17 2.91 2.52 2.11 1.79 1.65 1.67 1.76 1.78 1.62 1.30 0.94 0.68 0.65 0.82 1.09 1.31 1.37 1.29 1.17 1.16 1.30 1.54 1.72 1.70 1.45 1.04 0.65 0.43 0.44 0.60 0.76 0.79 0.65 0.39 0.13 0.00 0.00 0.03 0.16 0.26 0.31 0.31 0.29 0.29 82.5 + 85.0 0.14 0.18 0.27 0.35 0.38 0.30 0.12 0.00 0.00 0.00 0.04 0.36 0.63 0.74 0.69 0.59 0.63 0.95 1.55 2.29 2.93 3.29 3.29 3.05 2.74 2.54 2.48 2.50 2.48 2.33 2.05 1.74 1.55 1.56 1.72 1.92 1.99 1.84 1.51 1.13 0.87 0.84 1.01 1.26 1.43 1.43 1.30 1.17 1.17 1.34 1.59 1.75 1.66 1.30 0.78 0.31 0.07 0.09 0.28 0.47 0.49 0.32 0.03 0.00 0.00 0.00 0.00 0.00 0.15 0.21 0.19 0.16 0.14 0.18 0.27 0.35 0.38 0.30 0.12 0.00 0.00 0.00 0.04 0.36 0.63 0.74 0.69 0.59 0.63 0.95 1.55 2.29 2.93 3.29 3.29 3.05 2.74 2.54 2.48 2.50 2.48 2.33 2.05 1.74 1.55 1.56 1.72 1.92 1.99 1.84 1.51 1.13 0.87 0.84 1.01 1.26 1.43 1.43 1.30 1.17 1.17 1.34 1.59 1.75 1.66 1.30 0.78 0.31 0.07 0.09 0.28 0.47 0.49 0.32 0.03 0.00 0.00 0.00 0.00 0.00 0.15 0.21 0.19 0.16 0.14 85.0 + 87.5 0.00 0.04 0.12 0.19 0.17 0.04 0.00 0.00 0.00 0.00 0.00 0.05 0.29 0.34 0.19 0.00 0.00 0.22 0.79 1.50 2.09 2.38 2.33 2.06 1.78 1.64 1.68 1.80 1.86 1.77 1.56 1.34 1.27 1.40 1.68 1.95 2.06 1.93 1.59 1.22 0.96 0.94 1.10 1.31 1.43 1.37 1.20 1.07 1.10 1.30 1.57 1.71 1.55 1.10 0.49 0.00 0.00 0.00 0.00 0.21 0.23 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.11 0.08 0.03 0.00 0.04 0.12 0.19 0.17 0.04 0.00 0.00 0.00 0.00 0.00 0.05 0.29 0.34 0.19 0.00 0.00 0.22 0.79 1.50 2.09 2.38 2.33 2.06 1.78 1.64 1.68 1.80 1.86 1.77 1.56 1.34 1.27 1.40 1.68 1.95 2.06 1.93 1.59 1.22 0.96 0.94 1.10 1.31 1.43 1.37 1.20 1.07 1.10 1.30 1.57 1.71 1.55 1.10 0.49 0.00 0.00 0.00 0.00 0.21 0.23 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.11 0.08 0.03 0.00 87.5 + 90.0 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.44 1.10 1.63 1.85 1.75 1.48 1.23 1.15 1.26 1.43 1.51 1.43 1.24 1.07 1.07 1.28 1.63 1.95 2.08 1.95 1.63 1.28 1.07 1.07 1.24 1.43 1.51 1.43 1.26 1.15 1.23 1.48 1.75 1.85 1.63 1.10 0.44 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.44 1.10 1.63 1.85 1.75 1.48 1.23 1.15 1.26 1.43 1.51 1.43 1.24 1.07 1.07 1.28 1.63 1.95 2.08 1.95 1.63 1.28 1.07 1.07 1.24 1.43 1.51 1.43 1.26 1.15 1.23 1.48 1.75 1.85 1.63 1.10 0.44 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 90.0 + + 35.0 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.81 ) PHI2 = 35. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.0 + 2.5 0.27 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.38 0.40 0.39 0.41 0.49 0.64 0.84 1.05 1.27 1.51 1.76 1.99 2.17 2.25 2.21 2.06 1.84 1.60 1.37 1.14 0.92 0.72 0.56 0.45 0.41 0.40 0.36 0.25 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.24 0.34 0.38 0.39 0.44 0.55 0.72 0.93 1.15 1.38 1.62 1.86 2.08 2.24 2.28 2.20 2.02 1.77 1.52 1.28 1.05 0.84 0.64 0.49 0.39 0.36 0.37 0.36 0.27 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.38 0.40 0.39 0.41 0.49 0.64 0.84 1.05 1.27 1.51 1.76 1.99 2.17 2.25 2.21 2.06 1.84 1.60 1.37 1.14 0.92 0.72 0.56 0.45 0.41 0.40 0.36 0.25 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.24 0.34 0.38 0.39 0.44 0.55 0.72 0.93 1.15 1.38 1.62 1.86 2.08 2.24 2.28 2.20 2.02 1.77 1.52 1.28 1.05 0.84 0.64 0.49 0.39 0.36 0.37 0.36 0.27 2.5 + 5.0 0.41 0.29 0.11 0.00 0.00 0.00 0.10 0.29 0.44 0.50 0.47 0.41 0.37 0.40 0.50 0.67 0.88 1.12 1.38 1.66 1.94 2.17 2.29 2.30 2.18 1.98 1.73 1.47 1.22 0.99 0.79 0.63 0.54 0.51 0.50 0.46 0.35 0.16 0.00 0.00 0.00 0.00 0.00 0.17 0.33 0.42 0.44 0.46 0.52 0.64 0.82 1.03 1.27 1.52 1.78 2.05 2.28 2.41 2.41 2.27 2.02 1.71 1.41 1.14 0.89 0.68 0.50 0.37 0.31 0.33 0.39 0.43 0.41 0.29 0.11 0.00 0.00 0.00 0.10 0.29 0.44 0.50 0.47 0.41 0.37 0.40 0.50 0.67 0.88 1.12 1.38 1.66 1.94 2.17 2.29 2.30 2.18 1.98 1.73 1.47 1.22 0.99 0.79 0.63 0.54 0.51 0.50 0.46 0.35 0.16 0.00 0.00 0.00 0.00 0.00 0.17 0.33 0.42 0.44 0.46 0.52 0.64 0.82 1.03 1.27 1.52 1.78 2.05 2.28 2.41 2.41 2.27 2.02 1.71 1.41 1.14 0.89 0.68 0.50 0.37 0.31 0.33 0.39 0.43 0.41 5.0 + 7.5 0.61 0.56 0.45 0.33 0.27 0.30 0.42 0.57 0.67 0.69 0.62 0.50 0.40 0.36 0.40 0.54 0.73 0.97 1.25 1.56 1.86 2.14 2.32 2.39 2.33 2.15 1.90 1.62 1.35 1.11 0.93 0.81 0.75 0.75 0.75 0.72 0.62 0.45 0.27 0.13 0.11 0.19 0.35 0.51 0.63 0.68 0.70 0.71 0.77 0.89 1.06 1.26 1.50 1.76 2.04 2.32 2.53 2.61 2.55 2.33 2.00 1.64 1.29 0.98 0.74 0.54 0.39 0.30 0.28 0.35 0.46 0.57 0.61 0.56 0.45 0.33 0.27 0.30 0.42 0.57 0.67 0.69 0.62 0.50 0.40 0.36 0.40 0.54 0.73 0.97 1.25 1.56 1.86 2.14 2.32 2.39 2.33 2.15 1.90 1.62 1.35 1.11 0.93 0.81 0.75 0.75 0.75 0.72 0.62 0.45 0.27 0.13 0.11 0.19 0.35 0.51 0.63 0.68 0.70 0.71 0.77 0.89 1.06 1.26 1.50 1.76 2.04 2.32 2.53 2.61 2.55 2.33 2.00 1.64 1.29 0.98 0.74 0.54 0.39 0.30 0.28 0.35 0.46 0.57 0.61 7.5 + 10.0 0.84 0.85 0.80 0.71 0.64 0.65 0.72 0.83 0.92 0.92 0.84 0.70 0.54 0.45 0.44 0.53 0.69 0.91 1.18 1.47 1.78 2.07 2.30 2.43 2.43 2.30 2.07 1.79 1.52 1.29 1.14 1.08 1.08 1.13 1.16 1.15 1.07 0.93 0.79 0.71 0.72 0.82 0.96 1.09 1.17 1.19 1.18 1.19 1.23 1.33 1.47 1.64 1.84 2.08 2.35 2.59 2.75 2.77 2.63 2.33 1.95 1.54 1.18 0.88 0.66 0.50 0.39 0.34 0.37 0.47 0.61 0.75 0.84 0.85 0.80 0.71 0.64 0.65 0.72 0.83 0.92 0.92 0.84 0.70 0.54 0.45 0.44 0.53 0.69 0.91 1.18 1.47 1.78 2.07 2.30 2.43 2.43 2.30 2.07 1.79 1.52 1.29 1.14 1.08 1.08 1.13 1.16 1.15 1.07 0.93 0.79 0.71 0.72 0.82 0.96 1.09 1.17 1.19 1.18 1.19 1.23 1.33 1.47 1.64 1.84 2.08 2.35 2.59 2.75 2.77 2.63 2.33 1.95 1.54 1.18 0.88 0.66 0.50 0.39 0.34 0.37 0.47 0.61 0.75 0.84 10.0 + 12.5 1.04 1.08 1.06 1.00 0.93 0.90 0.94 1.01 1.09 1.12 1.07 0.94 0.78 0.65 0.60 0.64 0.77 0.94 1.16 1.40 1.67 1.95 2.21 2.39 2.45 2.38 2.19 1.93 1.68 1.48 1.37 1.36 1.43 1.53 1.61 1.63 1.58 1.48 1.39 1.36 1.42 1.54 1.67 1.78 1.81 1.80 1.77 1.76 1.78 1.85 1.94 2.06 2.21 2.40 2.60 2.78 2.86 2.80 2.58 2.23 1.82 1.42 1.08 0.83 0.67 0.56 0.51 0.51 0.56 0.66 0.79 0.93 1.04 1.08 1.06 1.00 0.93 0.90 0.94 1.01 1.09 1.12 1.07 0.94 0.78 0.65 0.60 0.64 0.77 0.94 1.16 1.40 1.67 1.95 2.21 2.39 2.45 2.38 2.19 1.93 1.68 1.48 1.37 1.36 1.43 1.53 1.61 1.63 1.58 1.48 1.39 1.36 1.42 1.54 1.67 1.78 1.81 1.80 1.77 1.76 1.78 1.85 1.94 2.06 2.21 2.40 2.60 2.78 2.86 2.80 2.58 2.23 1.82 1.42 1.08 0.83 0.67 0.56 0.51 0.51 0.56 0.66 0.79 0.93 1.04 12.5 + 15.0 1.14 1.20 1.20 1.16 1.08 1.02 1.01 1.06 1.14 1.20 1.20 1.12 0.99 0.87 0.80 0.80 0.88 1.00 1.15 1.33 1.54 1.79 2.05 2.27 2.39 2.38 2.23 2.01 1.77 1.59 1.51 1.54 1.66 1.81 1.93 1.99 1.97 1.91 1.87 1.88 1.97 2.11 2.24 2.32 2.32 2.28 2.22 2.19 2.20 2.24 2.31 2.39 2.49 2.61 2.73 2.81 2.80 2.65 2.36 1.99 1.59 1.24 0.97 0.79 0.70 0.66 0.66 0.68 0.74 0.82 0.92 1.03 1.14 1.20 1.20 1.16 1.08 1.02 1.01 1.06 1.14 1.20 1.20 1.12 0.99 0.87 0.80 0.80 0.88 1.00 1.15 1.33 1.54 1.79 2.05 2.27 2.39 2.38 2.23 2.01 1.77 1.59 1.51 1.54 1.66 1.81 1.93 1.99 1.97 1.91 1.87 1.88 1.97 2.11 2.24 2.32 2.32 2.28 2.22 2.19 2.20 2.24 2.31 2.39 2.49 2.61 2.73 2.81 2.80 2.65 2.36 1.99 1.59 1.24 0.97 0.79 0.70 0.66 0.66 0.68 0.74 0.82 0.92 1.03 1.14 15.0 + 17.5 1.09 1.17 1.21 1.18 1.10 1.00 0.94 0.95 1.02 1.11 1.17 1.15 1.07 0.97 0.89 0.88 0.92 1.00 1.10 1.22 1.39 1.61 1.87 2.11 2.27 2.31 2.20 2.00 1.77 1.59 1.51 1.54 1.67 1.84 1.99 2.08 2.11 2.09 2.09 2.13 2.24 2.38 2.50 2.56 2.53 2.46 2.37 2.33 2.33 2.38 2.44 2.51 2.58 2.64 2.68 2.66 2.54 2.32 1.99 1.62 1.27 0.98 0.79 0.68 0.65 0.67 0.70 0.75 0.80 0.85 0.91 1.00 1.09 1.17 1.21 1.18 1.10 1.00 0.94 0.95 1.02 1.11 1.17 1.15 1.07 0.97 0.89 0.88 0.92 1.00 1.10 1.22 1.39 1.61 1.87 2.11 2.27 2.31 2.20 2.00 1.77 1.59 1.51 1.54 1.67 1.84 1.99 2.08 2.11 2.09 2.09 2.13 2.24 2.38 2.50 2.56 2.53 2.46 2.37 2.33 2.33 2.38 2.44 2.51 2.58 2.64 2.68 2.66 2.54 2.32 1.99 1.62 1.27 0.98 0.79 0.68 0.65 0.67 0.70 0.75 0.80 0.85 0.91 1.00 1.09 17.5 + 20.0 0.90 1.01 1.09 1.09 1.01 0.88 0.76 0.72 0.76 0.86 0.95 0.99 0.96 0.89 0.83 0.81 0.84 0.90 0.98 1.07 1.22 1.42 1.68 1.93 2.12 2.19 2.11 1.92 1.69 1.49 1.38 1.38 1.48 1.64 1.81 1.94 2.01 2.05 2.09 2.16 2.29 2.42 2.52 2.55 2.49 2.38 2.27 2.21 2.21 2.26 2.34 2.42 2.47 2.49 2.45 2.34 2.14 1.85 1.51 1.17 0.88 0.66 0.53 0.48 0.48 0.52 0.58 0.63 0.67 0.70 0.73 0.80 0.90 1.01 1.09 1.09 1.01 0.88 0.76 0.72 0.76 0.86 0.95 0.99 0.96 0.89 0.83 0.81 0.84 0.90 0.98 1.07 1.22 1.42 1.68 1.93 2.12 2.19 2.11 1.92 1.69 1.49 1.38 1.38 1.48 1.64 1.81 1.94 2.01 2.05 2.09 2.16 2.29 2.42 2.52 2.55 2.49 2.38 2.27 2.21 2.21 2.26 2.34 2.42 2.47 2.49 2.45 2.34 2.14 1.85 1.51 1.17 0.88 0.66 0.53 0.48 0.48 0.52 0.58 0.63 0.67 0.70 0.73 0.80 0.90 20.0 + 22.5 0.60 0.75 0.87 0.92 0.85 0.70 0.53 0.42 0.42 0.51 0.62 0.70 0.70 0.66 0.62 0.61 0.64 0.71 0.80 0.91 1.05 1.25 1.50 1.75 1.94 2.02 1.96 1.80 1.57 1.36 1.22 1.18 1.25 1.39 1.56 1.73 1.86 1.97 2.06 2.18 2.32 2.45 2.54 2.54 2.46 2.31 2.17 2.08 2.05 2.09 2.17 2.24 2.27 2.24 2.13 1.93 1.66 1.34 1.01 0.71 0.48 0.32 0.23 0.20 0.21 0.25 0.31 0.36 0.40 0.41 0.43 0.49 0.60 0.75 0.87 0.92 0.85 0.70 0.53 0.42 0.42 0.51 0.62 0.70 0.70 0.66 0.62 0.61 0.64 0.71 0.80 0.91 1.05 1.25 1.50 1.75 1.94 2.02 1.96 1.80 1.57 1.36 1.22 1.18 1.25 1.39 1.56 1.73 1.86 1.97 2.06 2.18 2.32 2.45 2.54 2.54 2.46 2.31 2.17 2.08 2.05 2.09 2.17 2.24 2.27 2.24 2.13 1.93 1.66 1.34 1.01 0.71 0.48 0.32 0.23 0.20 0.21 0.25 0.31 0.36 0.40 0.41 0.43 0.49 0.60 22.5 + 25.0 0.26 0.44 0.61 0.70 0.65 0.49 0.28 0.13 0.09 0.16 0.28 0.38 0.42 0.40 0.37 0.37 0.42 0.51 0.63 0.75 0.90 1.09 1.31 1.53 1.71 1.79 1.76 1.63 1.45 1.27 1.14 1.08 1.12 1.24 1.42 1.63 1.84 2.03 2.21 2.38 2.55 2.70 2.79 2.78 2.69 2.52 2.34 2.19 2.11 2.09 2.11 2.13 2.09 1.98 1.79 1.51 1.18 0.85 0.54 0.30 0.13 0.02 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.10 0.10 0.15 0.26 0.44 0.61 0.70 0.65 0.49 0.28 0.13 0.09 0.16 0.28 0.38 0.42 0.40 0.37 0.37 0.42 0.51 0.63 0.75 0.90 1.09 1.31 1.53 1.71 1.79 1.76 1.63 1.45 1.27 1.14 1.08 1.12 1.24 1.42 1.63 1.84 2.03 2.21 2.38 2.55 2.70 2.79 2.78 2.69 2.52 2.34 2.19 2.11 2.09 2.11 2.13 2.09 1.98 1.79 1.51 1.18 0.85 0.54 0.30 0.13 0.02 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.10 0.10 0.15 0.26 25.0 + 27.5 0.00 0.14 0.33 0.45 0.43 0.28 0.07 0.00 0.00 0.00 0.03 0.14 0.20 0.19 0.17 0.19 0.25 0.35 0.48 0.61 0.75 0.91 1.08 1.26 1.40 1.48 1.49 1.43 1.33 1.23 1.16 1.14 1.18 1.30 1.48 1.72 1.99 2.27 2.54 2.79 3.02 3.20 3.31 3.33 3.25 3.08 2.87 2.66 2.48 2.35 2.26 2.16 2.02 1.80 1.50 1.15 0.78 0.44 0.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.33 0.45 0.43 0.28 0.07 0.00 0.00 0.00 0.03 0.14 0.20 0.19 0.17 0.19 0.25 0.35 0.48 0.61 0.75 0.91 1.08 1.26 1.40 1.48 1.49 1.43 1.33 1.23 1.16 1.14 1.18 1.30 1.48 1.72 1.99 2.27 2.54 2.79 3.02 3.20 3.31 3.33 3.25 3.08 2.87 2.66 2.48 2.35 2.26 2.16 2.02 1.80 1.50 1.15 0.78 0.44 0.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 27.5 + 30.0 0.00 0.00 0.09 0.22 0.23 0.11 0.00 0.00 0.00 0.00 0.00 0.03 0.09 0.10 0.09 0.10 0.16 0.26 0.37 0.48 0.59 0.70 0.82 0.94 1.05 1.12 1.16 1.18 1.20 1.22 1.25 1.29 1.36 1.47 1.65 1.90 2.21 2.55 2.89 3.21 3.49 3.72 3.87 3.94 3.90 3.76 3.54 3.28 3.01 2.76 2.53 2.29 2.02 1.69 1.30 0.88 0.49 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.22 0.23 0.11 0.00 0.00 0.00 0.00 0.00 0.03 0.09 0.10 0.09 0.10 0.16 0.26 0.37 0.48 0.59 0.70 0.82 0.94 1.05 1.12 1.16 1.18 1.20 1.22 1.25 1.29 1.36 1.47 1.65 1.90 2.21 2.55 2.89 3.21 3.49 3.72 3.87 3.94 3.90 3.76 3.54 3.28 3.01 2.76 2.53 2.29 2.02 1.69 1.30 0.88 0.49 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 30.0 + 32.5 0.00 0.00 0.00 0.08 0.11 0.03 0.00 0.00 0.00 0.00 0.00 0.01 0.08 0.10 0.09 0.10 0.14 0.21 0.29 0.36 0.42 0.49 0.57 0.64 0.71 0.77 0.84 0.92 1.03 1.16 1.30 1.41 1.50 1.60 1.74 1.96 2.25 2.61 2.98 3.34 3.65 3.91 4.11 4.23 4.26 4.17 3.98 3.70 3.38 3.03 2.70 2.36 2.00 1.60 1.16 0.72 0.32 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.11 0.03 0.00 0.00 0.00 0.00 0.00 0.01 0.08 0.10 0.09 0.10 0.14 0.21 0.29 0.36 0.42 0.49 0.57 0.64 0.71 0.77 0.84 0.92 1.03 1.16 1.30 1.41 1.50 1.60 1.74 1.96 2.25 2.61 2.98 3.34 3.65 3.91 4.11 4.23 4.26 4.17 3.98 3.70 3.38 3.03 2.70 2.36 2.00 1.60 1.16 0.72 0.32 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 32.5 + 35.0 0.00 0.00 0.00 0.05 0.11 0.07 0.00 0.00 0.00 0.00 0.00 0.04 0.11 0.13 0.14 0.14 0.16 0.18 0.22 0.25 0.29 0.34 0.40 0.45 0.50 0.53 0.58 0.68 0.84 1.04 1.24 1.40 1.49 1.54 1.62 1.76 2.00 2.31 2.66 3.00 3.30 3.55 3.76 3.92 4.01 4.00 3.87 3.63 3.30 2.95 2.59 2.23 1.87 1.48 1.07 0.65 0.28 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.01 0.00 0.00 0.00 0.00 0.00 0.05 0.11 0.07 0.00 0.00 0.00 0.00 0.00 0.04 0.11 0.13 0.14 0.14 0.16 0.18 0.22 0.25 0.29 0.34 0.40 0.45 0.50 0.53 0.58 0.68 0.84 1.04 1.24 1.40 1.49 1.54 1.62 1.76 2.00 2.31 2.66 3.00 3.30 3.55 3.76 3.92 4.01 4.00 3.87 3.63 3.30 2.95 2.59 2.23 1.87 1.48 1.07 0.65 0.28 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.01 0.00 0.00 0.00 35.0 + 37.5 0.00 0.00 0.00 0.12 0.21 0.22 0.15 0.06 0.00 0.00 0.01 0.07 0.14 0.19 0.21 0.21 0.20 0.18 0.17 0.18 0.21 0.28 0.37 0.43 0.46 0.46 0.47 0.54 0.68 0.88 1.09 1.24 1.29 1.28 1.27 1.32 1.47 1.72 2.01 2.28 2.51 2.69 2.86 3.01 3.14 3.20 3.15 2.99 2.73 2.43 2.14 1.86 1.59 1.31 0.99 0.65 0.34 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.15 0.21 0.17 0.06 0.00 0.00 0.00 0.00 0.12 0.21 0.22 0.15 0.06 0.00 0.00 0.01 0.07 0.14 0.19 0.21 0.21 0.20 0.18 0.17 0.18 0.21 0.28 0.37 0.43 0.46 0.46 0.47 0.54 0.68 0.88 1.09 1.24 1.29 1.28 1.27 1.32 1.47 1.72 2.01 2.28 2.51 2.69 2.86 3.01 3.14 3.20 3.15 2.99 2.73 2.43 2.14 1.86 1.59 1.31 0.99 0.65 0.34 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.15 0.21 0.17 0.06 0.00 0.00 37.5 + 40.0 0.01 0.02 0.12 0.25 0.37 0.41 0.38 0.28 0.17 0.09 0.07 0.10 0.18 0.26 0.32 0.33 0.29 0.22 0.16 0.15 0.22 0.34 0.48 0.57 0.60 0.55 0.50 0.50 0.58 0.74 0.91 1.01 1.00 0.92 0.82 0.80 0.89 1.07 1.28 1.45 1.57 1.64 1.72 1.82 1.95 2.06 2.09 2.02 1.85 1.65 1.46 1.32 1.21 1.08 0.91 0.68 0.43 0.21 0.06 0.00 0.00 0.00 0.00 0.00 0.03 0.09 0.19 0.28 0.33 0.30 0.21 0.09 0.01 0.02 0.12 0.25 0.37 0.41 0.38 0.28 0.17 0.09 0.07 0.10 0.18 0.26 0.32 0.33 0.29 0.22 0.16 0.15 0.22 0.34 0.48 0.57 0.60 0.55 0.50 0.50 0.58 0.74 0.91 1.01 1.00 0.92 0.82 0.80 0.89 1.07 1.28 1.45 1.57 1.64 1.72 1.82 1.95 2.06 2.09 2.02 1.85 1.65 1.46 1.32 1.21 1.08 0.91 0.68 0.43 0.21 0.06 0.00 0.00 0.00 0.00 0.00 0.03 0.09 0.19 0.28 0.33 0.30 0.21 0.09 0.01 40.0 + 42.5 0.14 0.13 0.20 0.33 0.47 0.56 0.55 0.46 0.31 0.18 0.11 0.14 0.24 0.38 0.48 0.49 0.42 0.30 0.19 0.18 0.27 0.46 0.66 0.79 0.80 0.71 0.59 0.53 0.56 0.66 0.77 0.80 0.73 0.58 0.45 0.40 0.47 0.62 0.78 0.86 0.85 0.78 0.73 0.76 0.87 1.00 1.09 1.07 0.98 0.86 0.77 0.76 0.80 0.84 0.81 0.70 0.51 0.32 0.17 0.11 0.12 0.17 0.21 0.23 0.24 0.27 0.31 0.36 0.40 0.39 0.32 0.22 0.14 0.13 0.20 0.33 0.47 0.56 0.55 0.46 0.31 0.18 0.11 0.14 0.24 0.38 0.48 0.49 0.42 0.30 0.19 0.18 0.27 0.46 0.66 0.79 0.80 0.71 0.59 0.53 0.56 0.66 0.77 0.80 0.73 0.58 0.45 0.40 0.47 0.62 0.78 0.86 0.85 0.78 0.73 0.76 0.87 1.00 1.09 1.07 0.98 0.86 0.77 0.76 0.80 0.84 0.81 0.70 0.51 0.32 0.17 0.11 0.12 0.17 0.21 0.23 0.24 0.27 0.31 0.36 0.40 0.39 0.32 0.22 0.14 42.5 + 45.0 0.20 0.16 0.19 0.30 0.46 0.59 0.62 0.54 0.38 0.22 0.14 0.18 0.34 0.54 0.68 0.69 0.58 0.39 0.23 0.20 0.33 0.56 0.80 0.94 0.94 0.82 0.66 0.57 0.57 0.65 0.71 0.69 0.55 0.37 0.23 0.21 0.32 0.50 0.64 0.65 0.53 0.33 0.17 0.12 0.20 0.33 0.44 0.45 0.38 0.28 0.24 0.30 0.44 0.60 0.68 0.66 0.53 0.37 0.24 0.21 0.26 0.36 0.44 0.47 0.45 0.42 0.39 0.40 0.42 0.42 0.38 0.30 0.20 0.16 0.19 0.30 0.46 0.59 0.62 0.54 0.38 0.22 0.14 0.18 0.34 0.54 0.68 0.69 0.58 0.39 0.23 0.20 0.33 0.56 0.80 0.94 0.94 0.82 0.66 0.57 0.57 0.65 0.71 0.69 0.55 0.37 0.23 0.21 0.32 0.50 0.64 0.65 0.53 0.33 0.17 0.12 0.20 0.33 0.44 0.45 0.38 0.28 0.24 0.30 0.44 0.60 0.68 0.66 0.53 0.37 0.24 0.21 0.26 0.36 0.44 0.47 0.45 0.42 0.39 0.40 0.42 0.42 0.38 0.30 0.20 45.0 + 47.5 0.21 0.11 0.08 0.16 0.32 0.49 0.56 0.51 0.36 0.20 0.13 0.21 0.43 0.70 0.87 0.88 0.71 0.46 0.25 0.20 0.33 0.58 0.83 0.96 0.94 0.80 0.65 0.57 0.60 0.68 0.73 0.66 0.48 0.27 0.15 0.18 0.37 0.61 0.77 0.76 0.56 0.28 0.03 0.00 0.00 0.12 0.23 0.24 0.15 0.02 0.00 0.02 0.19 0.39 0.54 0.57 0.49 0.36 0.27 0.28 0.38 0.53 0.64 0.67 0.61 0.50 0.41 0.38 0.40 0.43 0.41 0.34 0.21 0.11 0.08 0.16 0.32 0.49 0.56 0.51 0.36 0.20 0.13 0.21 0.43 0.70 0.87 0.88 0.71 0.46 0.25 0.20 0.33 0.58 0.83 0.96 0.94 0.80 0.65 0.57 0.60 0.68 0.73 0.66 0.48 0.27 0.15 0.18 0.37 0.61 0.77 0.76 0.56 0.28 0.03 0.00 0.00 0.12 0.23 0.24 0.15 0.02 0.00 0.02 0.19 0.39 0.54 0.57 0.49 0.36 0.27 0.28 0.38 0.53 0.64 0.67 0.61 0.50 0.41 0.38 0.40 0.43 0.41 0.34 0.21 47.5 + 50.0 0.22 0.05 0.00 0.00 0.14 0.32 0.43 0.41 0.28 0.13 0.09 0.22 0.50 0.81 1.00 0.99 0.77 0.46 0.21 0.14 0.28 0.53 0.76 0.86 0.81 0.67 0.56 0.54 0.64 0.76 0.80 0.69 0.47 0.23 0.12 0.21 0.47 0.78 0.98 0.96 0.74 0.42 0.14 0.02 0.07 0.22 0.33 0.33 0.21 0.04 0.00 0.00 0.07 0.27 0.43 0.48 0.43 0.33 0.28 0.34 0.49 0.67 0.79 0.79 0.68 0.51 0.37 0.31 0.35 0.42 0.45 0.38 0.22 0.05 0.00 0.00 0.14 0.32 0.43 0.41 0.28 0.13 0.09 0.22 0.50 0.81 1.00 0.99 0.77 0.46 0.21 0.14 0.28 0.53 0.76 0.86 0.81 0.67 0.56 0.54 0.64 0.76 0.80 0.69 0.47 0.23 0.12 0.21 0.47 0.78 0.98 0.96 0.74 0.42 0.14 0.02 0.07 0.22 0.33 0.33 0.21 0.04 0.00 0.00 0.07 0.27 0.43 0.48 0.43 0.33 0.28 0.34 0.49 0.67 0.79 0.79 0.68 0.51 0.37 0.31 0.35 0.42 0.45 0.38 0.22 50.0 + 52.5 0.30 0.08 0.00 0.00 0.02 0.20 0.32 0.31 0.19 0.06 0.04 0.20 0.51 0.84 1.03 0.99 0.74 0.40 0.13 0.06 0.20 0.44 0.65 0.72 0.65 0.52 0.46 0.53 0.70 0.86 0.89 0.75 0.48 0.21 0.10 0.21 0.50 0.84 1.07 1.07 0.86 0.55 0.29 0.20 0.27 0.43 0.55 0.55 0.41 0.21 0.06 0.02 0.12 0.28 0.41 0.46 0.42 0.35 0.33 0.42 0.59 0.77 0.86 0.82 0.65 0.42 0.26 0.22 0.31 0.45 0.52 0.47 0.30 0.08 0.00 0.00 0.02 0.20 0.32 0.31 0.19 0.06 0.04 0.20 0.51 0.84 1.03 0.99 0.74 0.40 0.13 0.06 0.20 0.44 0.65 0.72 0.65 0.52 0.46 0.53 0.70 0.86 0.89 0.75 0.48 0.21 0.10 0.21 0.50 0.84 1.07 1.07 0.86 0.55 0.29 0.20 0.27 0.43 0.55 0.55 0.41 0.21 0.06 0.02 0.12 0.28 0.41 0.46 0.42 0.35 0.33 0.42 0.59 0.77 0.86 0.82 0.65 0.42 0.26 0.22 0.31 0.45 0.52 0.47 0.30 52.5 + 55.0 0.48 0.23 0.03 0.00 0.06 0.21 0.31 0.29 0.16 0.03 0.01 0.17 0.48 0.80 0.97 0.91 0.65 0.31 0.06 0.02 0.16 0.39 0.56 0.61 0.53 0.44 0.43 0.56 0.78 0.97 0.99 0.81 0.50 0.20 0.05 0.15 0.43 0.76 0.99 1.02 0.85 0.60 0.40 0.34 0.43 0.60 0.73 0.75 0.64 0.46 0.31 0.26 0.31 0.42 0.51 0.53 0.49 0.43 0.42 0.51 0.66 0.81 0.85 0.75 0.53 0.29 0.13 0.14 0.30 0.51 0.66 0.65 0.48 0.23 0.03 0.00 0.06 0.21 0.31 0.29 0.16 0.03 0.01 0.17 0.48 0.80 0.97 0.91 0.65 0.31 0.06 0.02 0.16 0.39 0.56 0.61 0.53 0.44 0.43 0.56 0.78 0.97 0.99 0.81 0.50 0.20 0.05 0.15 0.43 0.76 0.99 1.02 0.85 0.60 0.40 0.34 0.43 0.60 0.73 0.75 0.64 0.46 0.31 0.26 0.31 0.42 0.51 0.53 0.49 0.43 0.42 0.51 0.66 0.81 0.85 0.75 0.53 0.29 0.13 0.14 0.30 0.51 0.66 0.65 0.48 55.0 + 57.5 0.72 0.49 0.28 0.20 0.25 0.36 0.43 0.38 0.23 0.08 0.05 0.19 0.46 0.74 0.88 0.81 0.56 0.26 0.06 0.04 0.19 0.40 0.55 0.57 0.50 0.43 0.46 0.63 0.86 1.04 1.05 0.85 0.51 0.19 0.02 0.08 0.31 0.60 0.81 0.86 0.76 0.60 0.47 0.45 0.55 0.70 0.83 0.86 0.80 0.69 0.59 0.55 0.59 0.65 0.69 0.67 0.60 0.53 0.51 0.58 0.69 0.78 0.78 0.63 0.40 0.16 0.04 0.10 0.33 0.61 0.82 0.86 0.72 0.49 0.28 0.20 0.25 0.36 0.43 0.38 0.23 0.08 0.05 0.19 0.46 0.74 0.88 0.81 0.56 0.26 0.06 0.04 0.19 0.40 0.55 0.57 0.50 0.43 0.46 0.63 0.86 1.04 1.05 0.85 0.51 0.19 0.02 0.08 0.31 0.60 0.81 0.86 0.76 0.60 0.47 0.45 0.55 0.70 0.83 0.86 0.80 0.69 0.59 0.55 0.59 0.65 0.69 0.67 0.60 0.53 0.51 0.58 0.69 0.78 0.78 0.63 0.40 0.16 0.04 0.10 0.33 0.61 0.82 0.86 0.72 57.5 + 60.0 0.94 0.74 0.55 0.46 0.50 0.58 0.61 0.54 0.37 0.21 0.15 0.25 0.48 0.71 0.83 0.77 0.56 0.31 0.16 0.17 0.31 0.50 0.61 0.61 0.53 0.48 0.52 0.68 0.89 1.04 1.02 0.81 0.49 0.19 0.02 0.03 0.21 0.43 0.62 0.69 0.66 0.59 0.54 0.55 0.63 0.74 0.83 0.87 0.85 0.82 0.79 0.80 0.83 0.86 0.84 0.77 0.67 0.58 0.54 0.57 0.64 0.69 0.65 0.50 0.28 0.08 0.00 0.11 0.38 0.71 0.96 1.04 0.94 0.74 0.55 0.46 0.50 0.58 0.61 0.54 0.37 0.21 0.15 0.25 0.48 0.71 0.83 0.77 0.56 0.31 0.16 0.17 0.31 0.50 0.61 0.61 0.53 0.48 0.52 0.68 0.89 1.04 1.02 0.81 0.49 0.19 0.02 0.03 0.21 0.43 0.62 0.69 0.66 0.59 0.54 0.55 0.63 0.74 0.83 0.87 0.85 0.82 0.79 0.80 0.83 0.86 0.84 0.77 0.67 0.58 0.54 0.57 0.64 0.69 0.65 0.50 0.28 0.08 0.00 0.11 0.38 0.71 0.96 1.04 0.94 60.0 + 62.5 1.02 0.86 0.71 0.65 0.69 0.77 0.79 0.71 0.55 0.38 0.30 0.37 0.56 0.75 0.86 0.82 0.67 0.50 0.40 0.43 0.55 0.68 0.75 0.72 0.63 0.56 0.59 0.70 0.85 0.94 0.89 0.69 0.42 0.16 0.01 0.01 0.13 0.29 0.44 0.53 0.56 0.57 0.58 0.61 0.66 0.70 0.73 0.74 0.75 0.78 0.83 0.88 0.91 0.91 0.84 0.73 0.61 0.50 0.45 0.47 0.52 0.55 0.51 0.38 0.21 0.06 0.03 0.16 0.43 0.74 0.99 1.09 1.02 0.86 0.71 0.65 0.69 0.77 0.79 0.71 0.55 0.38 0.30 0.37 0.56 0.75 0.86 0.82 0.67 0.50 0.40 0.43 0.55 0.68 0.75 0.72 0.63 0.56 0.59 0.70 0.85 0.94 0.89 0.69 0.42 0.16 0.01 0.01 0.13 0.29 0.44 0.53 0.56 0.57 0.58 0.61 0.66 0.70 0.73 0.74 0.75 0.78 0.83 0.88 0.91 0.91 0.84 0.73 0.61 0.50 0.45 0.47 0.52 0.55 0.51 0.38 0.21 0.06 0.03 0.16 0.43 0.74 0.99 1.09 1.02 62.5 + 65.0 0.91 0.79 0.70 0.68 0.75 0.85 0.90 0.85 0.71 0.55 0.48 0.53 0.68 0.87 0.98 1.00 0.92 0.83 0.80 0.85 0.95 1.04 1.05 0.97 0.85 0.75 0.73 0.77 0.83 0.83 0.74 0.54 0.31 0.11 0.00 0.00 0.06 0.16 0.26 0.34 0.40 0.47 0.53 0.57 0.58 0.55 0.51 0.48 0.49 0.55 0.65 0.74 0.78 0.76 0.67 0.54 0.41 0.32 0.28 0.31 0.37 0.41 0.40 0.32 0.19 0.09 0.08 0.20 0.42 0.68 0.88 0.96 0.91 0.79 0.70 0.68 0.75 0.85 0.90 0.85 0.71 0.55 0.48 0.53 0.68 0.87 0.98 1.00 0.92 0.83 0.80 0.85 0.95 1.04 1.05 0.97 0.85 0.75 0.73 0.77 0.83 0.83 0.74 0.54 0.31 0.11 0.00 0.00 0.06 0.16 0.26 0.34 0.40 0.47 0.53 0.57 0.58 0.55 0.51 0.48 0.49 0.55 0.65 0.74 0.78 0.76 0.67 0.54 0.41 0.32 0.28 0.31 0.37 0.41 0.40 0.32 0.19 0.09 0.08 0.20 0.42 0.68 0.88 0.96 0.91 65.0 + 67.5 0.67 0.59 0.54 0.58 0.70 0.85 0.94 0.93 0.84 0.71 0.66 0.71 0.86 1.05 1.21 1.29 1.31 1.33 1.38 1.48 1.60 1.66 1.63 1.51 1.34 1.18 1.08 1.03 0.97 0.87 0.71 0.49 0.27 0.10 0.01 0.00 0.02 0.05 0.08 0.12 0.17 0.26 0.35 0.40 0.39 0.32 0.21 0.14 0.13 0.20 0.33 0.45 0.51 0.50 0.41 0.28 0.17 0.12 0.12 0.19 0.27 0.34 0.35 0.31 0.23 0.16 0.14 0.21 0.35 0.53 0.66 0.71 0.67 0.59 0.54 0.58 0.70 0.85 0.94 0.93 0.84 0.71 0.66 0.71 0.86 1.05 1.21 1.29 1.31 1.33 1.38 1.48 1.60 1.66 1.63 1.51 1.34 1.18 1.08 1.03 0.97 0.87 0.71 0.49 0.27 0.10 0.01 0.00 0.02 0.05 0.08 0.12 0.17 0.26 0.35 0.40 0.39 0.32 0.21 0.14 0.13 0.20 0.33 0.45 0.51 0.50 0.41 0.28 0.17 0.12 0.12 0.19 0.27 0.34 0.35 0.31 0.23 0.16 0.14 0.21 0.35 0.53 0.66 0.71 0.67 67.5 + 70.0 0.40 0.36 0.36 0.46 0.64 0.83 0.97 1.00 0.95 0.86 0.83 0.91 1.08 1.30 1.51 1.68 1.81 1.95 2.13 2.34 2.52 2.61 2.56 2.40 2.18 1.95 1.76 1.60 1.43 1.21 0.94 0.65 0.40 0.22 0.13 0.10 0.08 0.04 0.00 0.00 0.00 0.01 0.11 0.19 0.19 0.11 0.00 0.00 0.00 0.00 0.05 0.20 0.29 0.29 0.22 0.11 0.04 0.03 0.09 0.19 0.30 0.38 0.40 0.37 0.30 0.23 0.18 0.19 0.26 0.35 0.42 0.44 0.40 0.36 0.36 0.46 0.64 0.83 0.97 1.00 0.95 0.86 0.83 0.91 1.08 1.30 1.51 1.68 1.81 1.95 2.13 2.34 2.52 2.61 2.56 2.40 2.18 1.95 1.76 1.60 1.43 1.21 0.94 0.65 0.40 0.22 0.13 0.10 0.08 0.04 0.00 0.00 0.00 0.01 0.11 0.19 0.19 0.11 0.00 0.00 0.00 0.00 0.05 0.20 0.29 0.29 0.22 0.11 0.04 0.03 0.09 0.19 0.30 0.38 0.40 0.37 0.30 0.23 0.18 0.19 0.26 0.35 0.42 0.44 0.40 70.0 + 72.5 0.23 0.22 0.28 0.42 0.64 0.86 1.02 1.08 1.04 0.99 1.00 1.12 1.33 1.60 1.86 2.10 2.34 2.62 2.96 3.32 3.62 3.78 3.76 3.58 3.30 3.00 2.72 2.46 2.19 1.86 1.48 1.09 0.77 0.55 0.44 0.39 0.32 0.21 0.05 0.00 0.00 0.00 0.00 0.10 0.15 0.09 0.00 0.00 0.00 0.00 0.02 0.20 0.31 0.32 0.24 0.14 0.08 0.11 0.21 0.35 0.46 0.52 0.52 0.46 0.37 0.27 0.20 0.18 0.19 0.23 0.26 0.26 0.23 0.22 0.28 0.42 0.64 0.86 1.02 1.08 1.04 0.99 1.00 1.12 1.33 1.60 1.86 2.10 2.34 2.62 2.96 3.32 3.62 3.78 3.76 3.58 3.30 3.00 2.72 2.46 2.19 1.86 1.48 1.09 0.77 0.55 0.44 0.39 0.32 0.21 0.05 0.00 0.00 0.00 0.00 0.10 0.15 0.09 0.00 0.00 0.00 0.00 0.02 0.20 0.31 0.32 0.24 0.14 0.08 0.11 0.21 0.35 0.46 0.52 0.52 0.46 0.37 0.27 0.20 0.18 0.19 0.23 0.26 0.26 0.23 72.5 + 75.0 0.19 0.22 0.31 0.48 0.72 0.94 1.09 1.13 1.10 1.08 1.13 1.30 1.56 1.86 2.15 2.43 2.75 3.15 3.65 4.19 4.65 4.92 4.95 4.74 4.41 4.04 3.70 3.38 3.03 2.62 2.15 1.68 1.29 1.03 0.91 0.85 0.77 0.60 0.36 0.12 0.00 0.00 0.10 0.27 0.38 0.36 0.25 0.11 0.06 0.14 0.32 0.51 0.62 0.59 0.47 0.34 0.27 0.31 0.43 0.58 0.68 0.69 0.62 0.51 0.38 0.27 0.20 0.17 0.17 0.19 0.20 0.20 0.19 0.22 0.31 0.48 0.72 0.94 1.09 1.13 1.10 1.08 1.13 1.30 1.56 1.86 2.15 2.43 2.75 3.15 3.65 4.19 4.65 4.92 4.95 4.74 4.41 4.04 3.70 3.38 3.03 2.62 2.15 1.68 1.29 1.03 0.91 0.85 0.77 0.60 0.36 0.12 0.00 0.00 0.10 0.27 0.38 0.36 0.25 0.11 0.06 0.14 0.32 0.51 0.62 0.59 0.47 0.34 0.27 0.31 0.43 0.58 0.68 0.69 0.62 0.51 0.38 0.27 0.20 0.17 0.17 0.19 0.20 0.20 0.19 75.0 + 77.5 0.23 0.28 0.40 0.59 0.81 1.00 1.10 1.10 1.06 1.05 1.15 1.37 1.68 1.99 2.26 2.53 2.86 3.33 3.97 4.67 5.29 5.67 5.73 5.51 5.12 4.71 4.33 4.00 3.63 3.19 2.68 2.16 1.75 1.49 1.40 1.37 1.31 1.12 0.83 0.52 0.31 0.29 0.44 0.67 0.83 0.85 0.75 0.62 0.57 0.66 0.85 1.03 1.09 0.99 0.77 0.55 0.43 0.46 0.59 0.73 0.80 0.75 0.61 0.43 0.28 0.18 0.14 0.14 0.17 0.20 0.22 0.22 0.23 0.28 0.40 0.59 0.81 1.00 1.10 1.10 1.06 1.05 1.15 1.37 1.68 1.99 2.26 2.53 2.86 3.33 3.97 4.67 5.29 5.67 5.73 5.51 5.12 4.71 4.33 4.00 3.63 3.19 2.68 2.16 1.75 1.49 1.40 1.37 1.31 1.12 0.83 0.52 0.31 0.29 0.44 0.67 0.83 0.85 0.75 0.62 0.57 0.66 0.85 1.03 1.09 0.99 0.77 0.55 0.43 0.46 0.59 0.73 0.80 0.75 0.61 0.43 0.28 0.18 0.14 0.14 0.17 0.20 0.22 0.22 0.23 77.5 + 80.0 0.22 0.29 0.42 0.61 0.80 0.93 0.96 0.90 0.83 0.83 0.98 1.26 1.59 1.87 2.08 2.26 2.54 3.03 3.74 4.56 5.29 5.74 5.81 5.56 5.14 4.70 4.34 4.04 3.73 3.32 2.82 2.32 1.93 1.73 1.71 1.76 1.75 1.58 1.26 0.91 0.68 0.66 0.85 1.11 1.31 1.35 1.25 1.11 1.07 1.17 1.37 1.53 1.51 1.28 0.92 0.58 0.39 0.40 0.54 0.69 0.73 0.62 0.41 0.19 0.03 0.00 0.00 0.07 0.14 0.19 0.20 0.20 0.22 0.29 0.42 0.61 0.80 0.93 0.96 0.90 0.83 0.83 0.98 1.26 1.59 1.87 2.08 2.26 2.54 3.03 3.74 4.56 5.29 5.74 5.81 5.56 5.14 4.70 4.34 4.04 3.73 3.32 2.82 2.32 1.93 1.73 1.71 1.76 1.75 1.58 1.26 0.91 0.68 0.66 0.85 1.11 1.31 1.35 1.25 1.11 1.07 1.17 1.37 1.53 1.51 1.28 0.92 0.58 0.39 0.40 0.54 0.69 0.73 0.62 0.41 0.19 0.03 0.00 0.00 0.07 0.14 0.19 0.20 0.20 0.22 80.0 + 82.5 0.09 0.17 0.31 0.48 0.63 0.70 0.64 0.51 0.41 0.42 0.61 0.92 1.25 1.47 1.56 1.62 1.80 2.24 2.98 3.86 4.65 5.11 5.17 4.88 4.44 4.02 3.72 3.50 3.27 2.94 2.51 2.07 1.76 1.66 1.75 1.90 1.95 1.80 1.49 1.13 0.90 0.89 1.10 1.39 1.59 1.62 1.50 1.36 1.34 1.48 1.69 1.81 1.69 1.32 0.80 0.34 0.08 0.09 0.25 0.42 0.45 0.31 0.05 0.00 0.00 0.00 0.00 0.00 0.04 0.10 0.10 0.08 0.09 0.17 0.31 0.48 0.63 0.70 0.64 0.51 0.41 0.42 0.61 0.92 1.25 1.47 1.56 1.62 1.80 2.24 2.98 3.86 4.65 5.11 5.17 4.88 4.44 4.02 3.72 3.50 3.27 2.94 2.51 2.07 1.76 1.66 1.75 1.90 1.95 1.80 1.49 1.13 0.90 0.89 1.10 1.39 1.59 1.62 1.50 1.36 1.34 1.48 1.69 1.81 1.69 1.32 0.80 0.34 0.08 0.09 0.25 0.42 0.45 0.31 0.05 0.00 0.00 0.00 0.00 0.00 0.04 0.10 0.10 0.08 0.09 82.5 + 85.0 0.00 0.00 0.07 0.23 0.34 0.33 0.20 0.01 0.00 0.00 0.11 0.44 0.74 0.88 0.84 0.75 0.82 1.21 1.92 2.81 3.60 4.05 4.07 3.76 3.32 2.95 2.74 2.64 2.51 2.27 1.91 1.56 1.34 1.35 1.55 1.79 1.90 1.78 1.46 1.10 0.88 0.90 1.12 1.41 1.59 1.59 1.45 1.33 1.35 1.54 1.78 1.86 1.66 1.15 0.49 0.00 0.00 0.00 0.00 0.07 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.23 0.34 0.33 0.20 0.01 0.00 0.00 0.11 0.44 0.74 0.88 0.84 0.75 0.82 1.21 1.92 2.81 3.60 4.05 4.07 3.76 3.32 2.95 2.74 2.64 2.51 2.27 1.91 1.56 1.34 1.35 1.55 1.79 1.90 1.78 1.46 1.10 0.88 0.90 1.12 1.41 1.59 1.59 1.45 1.33 1.35 1.54 1.78 1.86 1.66 1.15 0.49 0.00 0.00 0.00 0.00 0.07 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 85.0 + 87.5 0.00 0.00 0.00 0.00 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.22 0.28 0.13 0.00 0.00 0.25 0.94 1.81 2.56 2.97 2.95 2.63 2.23 1.95 1.85 1.85 1.82 1.64 1.35 1.06 0.93 1.03 1.32 1.61 1.75 1.63 1.31 0.96 0.75 0.79 1.03 1.30 1.45 1.43 1.30 1.22 1.32 1.57 1.84 1.90 1.62 1.00 0.24 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.22 0.28 0.13 0.00 0.00 0.25 0.94 1.81 2.56 2.97 2.95 2.63 2.23 1.95 1.85 1.85 1.82 1.64 1.35 1.06 0.93 1.03 1.32 1.61 1.75 1.63 1.31 0.96 0.75 0.79 1.03 1.30 1.45 1.43 1.30 1.22 1.32 1.57 1.84 1.90 1.62 1.00 0.24 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 87.5 + 90.0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.34 1.17 1.86 2.22 2.18 1.87 1.54 1.35 1.35 1.44 1.46 1.31 1.04 0.79 0.72 0.89 1.22 1.54 1.67 1.54 1.22 0.89 0.72 0.79 1.04 1.31 1.46 1.44 1.35 1.35 1.54 1.87 2.18 2.22 1.86 1.17 0.34 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.34 1.17 1.86 2.22 2.18 1.87 1.54 1.35 1.35 1.44 1.46 1.31 1.04 0.79 0.72 0.89 1.22 1.54 1.67 1.54 1.22 0.89 0.72 0.79 1.04 1.31 1.46 1.44 1.35 1.35 1.54 1.87 2.18 2.22 1.86 1.17 0.34 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 90.0 + + 37.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.98 ) PHI2 = 38. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.0 + 2.5 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.38 0.39 0.38 0.40 0.49 0.64 0.84 1.05 1.27 1.51 1.76 2.00 2.18 2.26 2.22 2.07 1.85 1.61 1.37 1.14 0.93 0.72 0.56 0.45 0.41 0.40 0.36 0.24 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.24 0.34 0.38 0.39 0.44 0.55 0.73 0.93 1.15 1.38 1.62 1.86 2.08 2.24 2.28 2.20 2.01 1.77 1.51 1.27 1.05 0.84 0.64 0.49 0.39 0.37 0.38 0.36 0.27 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.38 0.39 0.38 0.40 0.49 0.64 0.84 1.05 1.27 1.51 1.76 2.00 2.18 2.26 2.22 2.07 1.85 1.61 1.37 1.14 0.93 0.72 0.56 0.45 0.41 0.40 0.36 0.24 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.24 0.34 0.38 0.39 0.44 0.55 0.73 0.93 1.15 1.38 1.62 1.86 2.08 2.24 2.28 2.20 2.01 1.77 1.51 1.27 1.05 0.84 0.64 0.49 0.39 0.37 0.38 0.36 0.27 0.09 2.5 + 5.0 0.30 0.12 0.00 0.00 0.00 0.11 0.30 0.45 0.50 0.47 0.40 0.36 0.39 0.50 0.67 0.88 1.12 1.38 1.67 1.95 2.18 2.31 2.32 2.20 1.99 1.74 1.48 1.23 1.00 0.80 0.64 0.55 0.51 0.50 0.46 0.35 0.16 0.00 0.00 0.00 0.00 0.00 0.17 0.34 0.43 0.45 0.47 0.53 0.65 0.82 1.03 1.27 1.52 1.79 2.05 2.27 2.40 2.40 2.25 2.01 1.71 1.40 1.13 0.89 0.68 0.50 0.37 0.32 0.34 0.40 0.45 0.42 0.30 0.12 0.00 0.00 0.00 0.11 0.30 0.45 0.50 0.47 0.40 0.36 0.39 0.50 0.67 0.88 1.12 1.38 1.67 1.95 2.18 2.31 2.32 2.20 1.99 1.74 1.48 1.23 1.00 0.80 0.64 0.55 0.51 0.50 0.46 0.35 0.16 0.00 0.00 0.00 0.00 0.00 0.17 0.34 0.43 0.45 0.47 0.53 0.65 0.82 1.03 1.27 1.52 1.79 2.05 2.27 2.40 2.40 2.25 2.01 1.71 1.40 1.13 0.89 0.68 0.50 0.37 0.32 0.34 0.40 0.45 0.42 0.30 5.0 + 7.5 0.59 0.47 0.35 0.29 0.33 0.45 0.59 0.69 0.70 0.62 0.50 0.40 0.36 0.41 0.54 0.74 0.98 1.26 1.57 1.88 2.17 2.36 2.43 2.37 2.19 1.94 1.66 1.39 1.15 0.97 0.84 0.78 0.77 0.77 0.74 0.64 0.48 0.30 0.16 0.12 0.20 0.36 0.52 0.65 0.71 0.73 0.74 0.79 0.90 1.07 1.27 1.50 1.77 2.05 2.32 2.52 2.60 2.53 2.31 1.99 1.63 1.28 0.99 0.74 0.54 0.40 0.31 0.31 0.38 0.50 0.60 0.64 0.59 0.47 0.35 0.29 0.33 0.45 0.59 0.69 0.70 0.62 0.50 0.40 0.36 0.41 0.54 0.74 0.98 1.26 1.57 1.88 2.17 2.36 2.43 2.37 2.19 1.94 1.66 1.39 1.15 0.97 0.84 0.78 0.77 0.77 0.74 0.64 0.48 0.30 0.16 0.12 0.20 0.36 0.52 0.65 0.71 0.73 0.74 0.79 0.90 1.07 1.27 1.50 1.77 2.05 2.32 2.52 2.60 2.53 2.31 1.99 1.63 1.28 0.99 0.74 0.54 0.40 0.31 0.31 0.38 0.50 0.60 0.64 0.59 7.5 + 10.0 0.90 0.84 0.75 0.70 0.71 0.78 0.89 0.96 0.95 0.86 0.71 0.56 0.47 0.46 0.55 0.71 0.93 1.19 1.49 1.81 2.12 2.37 2.50 2.50 2.37 2.14 1.87 1.60 1.38 1.23 1.15 1.15 1.18 1.21 1.20 1.13 1.00 0.87 0.78 0.78 0.86 1.00 1.13 1.21 1.24 1.23 1.23 1.27 1.35 1.48 1.64 1.85 2.09 2.36 2.59 2.75 2.76 2.61 2.32 1.94 1.55 1.19 0.90 0.68 0.52 0.42 0.39 0.43 0.53 0.68 0.81 0.90 0.90 0.84 0.75 0.70 0.71 0.78 0.89 0.96 0.95 0.86 0.71 0.56 0.47 0.46 0.55 0.71 0.93 1.19 1.49 1.81 2.12 2.37 2.50 2.50 2.37 2.14 1.87 1.60 1.38 1.23 1.15 1.15 1.18 1.21 1.20 1.13 1.00 0.87 0.78 0.78 0.86 1.00 1.13 1.21 1.24 1.23 1.23 1.27 1.35 1.48 1.64 1.85 2.09 2.36 2.59 2.75 2.76 2.61 2.32 1.94 1.55 1.19 0.90 0.68 0.52 0.42 0.39 0.43 0.53 0.68 0.81 0.90 0.90 10.0 + 12.5 1.16 1.13 1.07 1.02 1.00 1.04 1.11 1.17 1.18 1.11 0.97 0.82 0.70 0.65 0.69 0.81 0.98 1.19 1.44 1.72 2.02 2.29 2.49 2.55 2.48 2.30 2.05 1.81 1.62 1.51 1.49 1.55 1.64 1.71 1.74 1.69 1.61 1.52 1.48 1.51 1.61 1.73 1.83 1.88 1.87 1.83 1.81 1.82 1.87 1.95 2.07 2.22 2.42 2.62 2.79 2.87 2.80 2.57 2.23 1.83 1.45 1.13 0.89 0.73 0.63 0.58 0.58 0.65 0.76 0.90 1.03 1.12 1.16 1.13 1.07 1.02 1.00 1.04 1.11 1.17 1.18 1.11 0.97 0.82 0.70 0.65 0.69 0.81 0.98 1.19 1.44 1.72 2.02 2.29 2.49 2.55 2.48 2.30 2.05 1.81 1.62 1.51 1.49 1.55 1.64 1.71 1.74 1.69 1.61 1.52 1.48 1.51 1.61 1.73 1.83 1.88 1.87 1.83 1.81 1.82 1.87 1.95 2.07 2.22 2.42 2.62 2.79 2.87 2.80 2.57 2.23 1.83 1.45 1.13 0.89 0.73 0.63 0.58 0.58 0.65 0.76 0.90 1.03 1.12 1.16 12.5 + 15.0 1.29 1.29 1.25 1.20 1.15 1.15 1.19 1.25 1.28 1.27 1.18 1.06 0.94 0.87 0.87 0.94 1.04 1.18 1.36 1.59 1.86 2.14 2.38 2.51 2.50 2.37 2.16 1.94 1.77 1.69 1.71 1.81 1.95 2.07 2.13 2.13 2.09 2.04 2.04 2.11 2.21 2.33 2.40 2.40 2.36 2.29 2.25 2.23 2.25 2.30 2.38 2.49 2.63 2.76 2.84 2.82 2.66 2.37 2.00 1.62 1.29 1.04 0.88 0.79 0.76 0.76 0.79 0.86 0.95 1.05 1.16 1.24 1.29 1.29 1.25 1.20 1.15 1.15 1.19 1.25 1.28 1.27 1.18 1.06 0.94 0.87 0.87 0.94 1.04 1.18 1.36 1.59 1.86 2.14 2.38 2.51 2.50 2.37 2.16 1.94 1.77 1.69 1.71 1.81 1.95 2.07 2.13 2.13 2.09 2.04 2.04 2.11 2.21 2.33 2.40 2.40 2.36 2.29 2.25 2.23 2.25 2.30 2.38 2.49 2.63 2.76 2.84 2.82 2.66 2.37 2.00 1.62 1.29 1.04 0.88 0.79 0.76 0.76 0.79 0.86 0.95 1.05 1.16 1.24 1.29 15.0 + 17.5 1.26 1.30 1.28 1.22 1.15 1.09 1.09 1.14 1.20 1.24 1.22 1.14 1.05 0.98 0.96 0.98 1.04 1.12 1.24 1.42 1.65 1.93 2.20 2.38 2.43 2.34 2.15 1.94 1.77 1.69 1.72 1.83 1.99 2.14 2.24 2.29 2.29 2.29 2.32 2.40 2.51 2.61 2.65 2.62 2.54 2.44 2.37 2.35 2.37 2.42 2.48 2.57 2.65 2.71 2.69 2.58 2.34 2.01 1.65 1.31 1.05 0.88 0.80 0.78 0.79 0.83 0.88 0.93 0.99 1.05 1.12 1.19 1.26 1.30 1.28 1.22 1.15 1.09 1.09 1.14 1.20 1.24 1.22 1.14 1.05 0.98 0.96 0.98 1.04 1.12 1.24 1.42 1.65 1.93 2.20 2.38 2.43 2.34 2.15 1.94 1.77 1.69 1.72 1.83 1.99 2.14 2.24 2.29 2.29 2.29 2.32 2.40 2.51 2.61 2.65 2.62 2.54 2.44 2.37 2.35 2.37 2.42 2.48 2.57 2.65 2.71 2.69 2.58 2.34 2.01 1.65 1.31 1.05 0.88 0.80 0.78 0.79 0.83 0.88 0.93 0.99 1.05 1.12 1.19 1.26 17.5 + 20.0 1.07 1.15 1.17 1.12 1.01 0.90 0.84 0.86 0.93 1.00 1.04 1.01 0.95 0.89 0.87 0.88 0.92 0.98 1.07 1.21 1.43 1.70 1.97 2.18 2.27 2.22 2.05 1.84 1.65 1.55 1.54 1.64 1.79 1.96 2.10 2.20 2.25 2.30 2.37 2.46 2.57 2.64 2.64 2.57 2.45 2.33 2.24 2.21 2.23 2.29 2.37 2.45 2.49 2.48 2.38 2.19 1.89 1.55 1.21 0.93 0.74 0.64 0.60 0.61 0.65 0.71 0.76 0.80 0.82 0.85 0.90 0.97 1.07 1.15 1.17 1.12 1.01 0.90 0.84 0.86 0.93 1.00 1.04 1.01 0.95 0.89 0.87 0.88 0.92 0.98 1.07 1.21 1.43 1.70 1.97 2.18 2.27 2.22 2.05 1.84 1.65 1.55 1.54 1.64 1.79 1.96 2.10 2.20 2.25 2.30 2.37 2.46 2.57 2.64 2.64 2.57 2.45 2.33 2.24 2.21 2.23 2.29 2.37 2.45 2.49 2.48 2.38 2.19 1.89 1.55 1.21 0.93 0.74 0.64 0.60 0.61 0.65 0.71 0.76 0.80 0.82 0.85 0.90 0.97 1.07 20.0 + 22.5 0.76 0.89 0.95 0.91 0.78 0.61 0.50 0.47 0.53 0.63 0.70 0.71 0.68 0.64 0.63 0.65 0.70 0.77 0.86 1.00 1.20 1.46 1.74 1.95 2.06 2.03 1.89 1.69 1.50 1.36 1.33 1.39 1.53 1.71 1.89 2.05 2.17 2.29 2.40 2.51 2.61 2.66 2.63 2.52 2.36 2.20 2.08 2.02 2.04 2.10 2.17 2.22 2.23 2.15 1.98 1.71 1.39 1.05 0.76 0.54 0.40 0.33 0.31 0.33 0.37 0.42 0.47 0.49 0.50 0.50 0.54 0.63 0.76 0.89 0.95 0.91 0.78 0.61 0.50 0.47 0.53 0.63 0.70 0.71 0.68 0.64 0.63 0.65 0.70 0.77 0.86 1.00 1.20 1.46 1.74 1.95 2.06 2.03 1.89 1.69 1.50 1.36 1.33 1.39 1.53 1.71 1.89 2.05 2.17 2.29 2.40 2.51 2.61 2.66 2.63 2.52 2.36 2.20 2.08 2.02 2.04 2.10 2.17 2.22 2.23 2.15 1.98 1.71 1.39 1.05 0.76 0.54 0.40 0.33 0.31 0.33 0.37 0.42 0.47 0.49 0.50 0.50 0.54 0.63 0.76 22.5 + 25.0 0.40 0.57 0.67 0.64 0.50 0.30 0.14 0.08 0.13 0.23 0.33 0.37 0.36 0.34 0.34 0.39 0.46 0.55 0.66 0.81 0.99 1.23 1.47 1.68 1.79 1.79 1.69 1.54 1.38 1.26 1.22 1.27 1.40 1.59 1.82 2.04 2.25 2.44 2.61 2.76 2.86 2.90 2.86 2.72 2.53 2.33 2.16 2.05 2.01 2.01 2.03 2.02 1.95 1.79 1.55 1.24 0.90 0.60 0.35 0.19 0.09 0.03 0.01 0.01 0.03 0.08 0.12 0.15 0.14 0.12 0.14 0.24 0.40 0.57 0.67 0.64 0.50 0.30 0.14 0.08 0.13 0.23 0.33 0.37 0.36 0.34 0.34 0.39 0.46 0.55 0.66 0.81 0.99 1.23 1.47 1.68 1.79 1.79 1.69 1.54 1.38 1.26 1.22 1.27 1.40 1.59 1.82 2.04 2.25 2.44 2.61 2.76 2.86 2.90 2.86 2.72 2.53 2.33 2.16 2.05 2.01 2.01 2.03 2.02 1.95 1.79 1.55 1.24 0.90 0.60 0.35 0.19 0.09 0.03 0.01 0.01 0.03 0.08 0.12 0.15 0.14 0.12 0.14 0.24 0.40 25.0 + 27.5 0.06 0.25 0.37 0.37 0.23 0.03 0.00 0.00 0.00 0.00 0.04 0.10 0.11 0.10 0.11 0.17 0.26 0.38 0.50 0.63 0.79 0.98 1.18 1.35 1.46 1.50 1.47 1.40 1.33 1.29 1.29 1.36 1.49 1.69 1.95 2.23 2.52 2.79 3.03 3.22 3.35 3.40 3.36 3.23 3.03 2.79 2.56 2.36 2.22 2.12 2.03 1.91 1.73 1.47 1.16 0.81 0.49 0.22 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.25 0.37 0.37 0.23 0.03 0.00 0.00 0.00 0.00 0.04 0.10 0.11 0.10 0.11 0.17 0.26 0.38 0.50 0.63 0.79 0.98 1.18 1.35 1.46 1.50 1.47 1.40 1.33 1.29 1.29 1.36 1.49 1.69 1.95 2.23 2.52 2.79 3.03 3.22 3.35 3.40 3.36 3.23 3.03 2.79 2.56 2.36 2.22 2.12 2.03 1.91 1.73 1.47 1.16 0.81 0.49 0.22 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 27.5 + 30.0 0.00 0.00 0.13 0.15 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.14 0.25 0.36 0.47 0.58 0.72 0.86 0.99 1.10 1.17 1.22 1.26 1.31 1.37 1.45 1.56 1.70 1.90 2.16 2.47 2.80 3.13 3.43 3.66 3.83 3.91 3.91 3.80 3.62 3.37 3.10 2.82 2.56 2.33 2.10 1.85 1.56 1.22 0.85 0.49 0.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.15 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.14 0.25 0.36 0.47 0.58 0.72 0.86 0.99 1.10 1.17 1.22 1.26 1.31 1.37 1.45 1.56 1.70 1.90 2.16 2.47 2.80 3.13 3.43 3.66 3.83 3.91 3.91 3.80 3.62 3.37 3.10 2.82 2.56 2.33 2.10 1.85 1.56 1.22 0.85 0.49 0.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 30.0 + 32.5 0.00 0.00 0.00 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.09 0.17 0.25 0.32 0.39 0.48 0.58 0.68 0.78 0.87 0.97 1.10 1.25 1.42 1.57 1.70 1.84 2.00 2.22 2.50 2.84 3.19 3.51 3.77 3.96 4.08 4.11 4.07 3.94 3.72 3.44 3.11 2.78 2.45 2.12 1.79 1.42 1.04 0.64 0.28 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.09 0.17 0.25 0.32 0.39 0.48 0.58 0.68 0.78 0.87 0.97 1.10 1.25 1.42 1.57 1.70 1.84 2.00 2.22 2.50 2.84 3.19 3.51 3.77 3.96 4.08 4.11 4.07 3.94 3.72 3.44 3.11 2.78 2.45 2.12 1.79 1.42 1.04 0.64 0.28 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 32.5 + 35.0 0.00 0.00 0.03 0.09 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.03 0.02 0.02 0.03 0.07 0.11 0.16 0.21 0.27 0.35 0.43 0.51 0.58 0.65 0.76 0.92 1.13 1.34 1.53 1.66 1.75 1.84 1.97 2.19 2.48 2.80 3.10 3.35 3.53 3.66 3.73 3.75 3.69 3.55 3.31 3.00 2.66 2.31 1.96 1.63 1.28 0.92 0.55 0.22 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.08 0.03 0.00 0.00 0.00 0.00 0.00 0.03 0.09 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.03 0.02 0.02 0.03 0.07 0.11 0.16 0.21 0.27 0.35 0.43 0.51 0.58 0.65 0.76 0.92 1.13 1.34 1.53 1.66 1.75 1.84 1.97 2.19 2.48 2.80 3.10 3.35 3.53 3.66 3.73 3.75 3.69 3.55 3.31 3.00 2.66 2.31 1.96 1.63 1.28 0.92 0.55 0.22 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.08 0.03 0.00 0.00 0.00 0.00 35.0 + 37.5 0.00 0.08 0.20 0.27 0.26 0.19 0.09 0.01 0.00 0.01 0.05 0.09 0.11 0.11 0.11 0.10 0.09 0.09 0.10 0.16 0.25 0.36 0.46 0.53 0.56 0.58 0.64 0.77 0.96 1.17 1.33 1.42 1.43 1.42 1.46 1.59 1.80 2.06 2.31 2.50 2.63 2.73 2.81 2.87 2.89 2.83 2.68 2.45 2.17 1.88 1.61 1.37 1.12 0.86 0.56 0.28 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.22 0.28 0.25 0.14 0.03 0.00 0.00 0.08 0.20 0.27 0.26 0.19 0.09 0.01 0.00 0.01 0.05 0.09 0.11 0.11 0.11 0.10 0.09 0.09 0.10 0.16 0.25 0.36 0.46 0.53 0.56 0.58 0.64 0.77 0.96 1.17 1.33 1.42 1.43 1.42 1.46 1.59 1.80 2.06 2.31 2.50 2.63 2.73 2.81 2.87 2.89 2.83 2.68 2.45 2.17 1.88 1.61 1.37 1.12 0.86 0.56 0.28 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.22 0.28 0.25 0.14 0.03 0.00 0.00 37.5 + 40.0 0.21 0.29 0.40 0.49 0.53 0.49 0.39 0.28 0.19 0.15 0.15 0.18 0.22 0.25 0.25 0.21 0.15 0.10 0.10 0.17 0.32 0.50 0.64 0.71 0.70 0.64 0.62 0.67 0.80 0.96 1.07 1.08 1.01 0.91 0.86 0.92 1.08 1.28 1.46 1.56 1.60 1.62 1.66 1.74 1.82 1.85 1.80 1.65 1.46 1.28 1.14 1.05 0.96 0.84 0.65 0.42 0.19 0.02 0.00 0.00 0.00 0.00 0.03 0.09 0.18 0.28 0.38 0.44 0.43 0.35 0.26 0.20 0.21 0.29 0.40 0.49 0.53 0.49 0.39 0.28 0.19 0.15 0.15 0.18 0.22 0.25 0.25 0.21 0.15 0.10 0.10 0.17 0.32 0.50 0.64 0.71 0.70 0.64 0.62 0.67 0.80 0.96 1.07 1.08 1.01 0.91 0.86 0.92 1.08 1.28 1.46 1.56 1.60 1.62 1.66 1.74 1.82 1.85 1.80 1.65 1.46 1.28 1.14 1.05 0.96 0.84 0.65 0.42 0.19 0.02 0.00 0.00 0.00 0.00 0.03 0.09 0.18 0.28 0.38 0.44 0.43 0.35 0.26 0.20 0.21 40.0 + 42.5 0.37 0.42 0.53 0.64 0.72 0.72 0.64 0.50 0.35 0.25 0.23 0.28 0.37 0.45 0.46 0.39 0.27 0.15 0.12 0.22 0.43 0.68 0.87 0.94 0.88 0.75 0.64 0.62 0.69 0.79 0.84 0.78 0.63 0.47 0.39 0.44 0.59 0.77 0.88 0.89 0.81 0.72 0.69 0.75 0.86 0.96 0.97 0.90 0.79 0.69 0.67 0.73 0.80 0.81 0.73 0.55 0.34 0.15 0.05 0.04 0.11 0.20 0.27 0.33 0.38 0.43 0.48 0.52 0.53 0.49 0.43 0.37 0.37 0.42 0.53 0.64 0.72 0.72 0.64 0.50 0.35 0.25 0.23 0.28 0.37 0.45 0.46 0.39 0.27 0.15 0.12 0.22 0.43 0.68 0.87 0.94 0.88 0.75 0.64 0.62 0.69 0.79 0.84 0.78 0.63 0.47 0.39 0.44 0.59 0.77 0.88 0.89 0.81 0.72 0.69 0.75 0.86 0.96 0.97 0.90 0.79 0.69 0.67 0.73 0.80 0.81 0.73 0.55 0.34 0.15 0.05 0.04 0.11 0.20 0.27 0.33 0.38 0.43 0.48 0.52 0.53 0.49 0.43 0.37 0.37 42.5 + 45.0 0.39 0.40 0.48 0.62 0.75 0.80 0.75 0.61 0.43 0.31 0.29 0.39 0.55 0.69 0.72 0.60 0.40 0.21 0.14 0.25 0.50 0.80 1.02 1.07 0.97 0.79 0.64 0.59 0.64 0.70 0.70 0.59 0.39 0.21 0.15 0.24 0.44 0.64 0.73 0.65 0.46 0.26 0.15 0.17 0.29 0.41 0.46 0.41 0.31 0.25 0.29 0.43 0.61 0.74 0.74 0.61 0.41 0.22 0.14 0.18 0.30 0.44 0.53 0.56 0.54 0.51 0.50 0.52 0.54 0.54 0.50 0.43 0.39 0.40 0.48 0.62 0.75 0.80 0.75 0.61 0.43 0.31 0.29 0.39 0.55 0.69 0.72 0.60 0.40 0.21 0.14 0.25 0.50 0.80 1.02 1.07 0.97 0.79 0.64 0.59 0.64 0.70 0.70 0.59 0.39 0.21 0.15 0.24 0.44 0.64 0.73 0.65 0.46 0.26 0.15 0.17 0.29 0.41 0.46 0.41 0.31 0.25 0.29 0.43 0.61 0.74 0.74 0.61 0.41 0.22 0.14 0.18 0.30 0.44 0.53 0.56 0.54 0.51 0.50 0.52 0.54 0.54 0.50 0.43 0.39 45.0 + 47.5 0.28 0.23 0.27 0.41 0.59 0.71 0.71 0.58 0.41 0.29 0.31 0.48 0.73 0.93 0.96 0.81 0.52 0.25 0.12 0.21 0.48 0.78 0.99 1.02 0.88 0.69 0.54 0.52 0.60 0.67 0.65 0.49 0.27 0.10 0.08 0.26 0.54 0.80 0.88 0.76 0.48 0.18 0.01 0.00 0.12 0.25 0.29 0.22 0.09 0.00 0.02 0.18 0.40 0.59 0.65 0.55 0.38 0.23 0.19 0.29 0.48 0.66 0.76 0.75 0.64 0.51 0.44 0.43 0.47 0.50 0.48 0.39 0.28 0.23 0.27 0.41 0.59 0.71 0.71 0.58 0.41 0.29 0.31 0.48 0.73 0.93 0.96 0.81 0.52 0.25 0.12 0.21 0.48 0.78 0.99 1.02 0.88 0.69 0.54 0.52 0.60 0.67 0.65 0.49 0.27 0.10 0.08 0.26 0.54 0.80 0.88 0.76 0.48 0.18 0.01 0.00 0.12 0.25 0.29 0.22 0.09 0.00 0.02 0.18 0.40 0.59 0.65 0.55 0.38 0.23 0.19 0.29 0.48 0.66 0.76 0.75 0.64 0.51 0.44 0.43 0.47 0.50 0.48 0.39 0.28 47.5 + 50.0 0.13 0.00 0.00 0.13 0.33 0.51 0.55 0.46 0.30 0.21 0.28 0.52 0.85 1.10 1.14 0.94 0.58 0.23 0.06 0.12 0.37 0.65 0.83 0.82 0.66 0.48 0.39 0.44 0.57 0.68 0.65 0.46 0.21 0.04 0.07 0.33 0.70 1.01 1.12 0.97 0.65 0.30 0.09 0.07 0.19 0.32 0.35 0.25 0.06 0.00 0.00 0.00 0.23 0.43 0.51 0.44 0.30 0.20 0.22 0.38 0.63 0.84 0.92 0.84 0.64 0.43 0.30 0.30 0.37 0.44 0.43 0.31 0.13 0.00 0.00 0.13 0.33 0.51 0.55 0.46 0.30 0.21 0.28 0.52 0.85 1.10 1.14 0.94 0.58 0.23 0.06 0.12 0.37 0.65 0.83 0.82 0.66 0.48 0.39 0.44 0.57 0.68 0.65 0.46 0.21 0.04 0.07 0.33 0.70 1.01 1.12 0.97 0.65 0.30 0.09 0.07 0.19 0.32 0.35 0.25 0.06 0.00 0.00 0.00 0.23 0.43 0.51 0.44 0.30 0.20 0.22 0.38 0.63 0.84 0.92 0.84 0.64 0.43 0.30 0.30 0.37 0.44 0.43 0.31 0.13 50.0 + 52.5 0.07 0.00 0.00 0.00 0.13 0.32 0.39 0.31 0.17 0.09 0.20 0.50 0.88 1.16 1.21 0.98 0.58 0.19 0.00 0.03 0.25 0.50 0.62 0.58 0.42 0.27 0.25 0.38 0.58 0.72 0.67 0.46 0.17 0.00 0.05 0.34 0.75 1.10 1.23 1.09 0.77 0.42 0.21 0.20 0.32 0.46 0.49 0.36 0.14 0.00 0.00 0.00 0.15 0.34 0.42 0.37 0.26 0.20 0.26 0.47 0.74 0.95 0.99 0.83 0.56 0.29 0.14 0.17 0.30 0.42 0.44 0.30 0.07 0.00 0.00 0.00 0.13 0.32 0.39 0.31 0.17 0.09 0.20 0.50 0.88 1.16 1.21 0.98 0.58 0.19 0.00 0.03 0.25 0.50 0.62 0.58 0.42 0.27 0.25 0.38 0.58 0.72 0.67 0.46 0.17 0.00 0.05 0.34 0.75 1.10 1.23 1.09 0.77 0.42 0.21 0.20 0.32 0.46 0.49 0.36 0.14 0.00 0.00 0.00 0.15 0.34 0.42 0.37 0.26 0.20 0.26 0.47 0.74 0.95 0.99 0.83 0.56 0.29 0.14 0.17 0.30 0.42 0.44 0.30 0.07 52.5 + 55.0 0.18 0.00 0.00 0.00 0.08 0.26 0.31 0.22 0.07 0.00 0.12 0.44 0.83 1.12 1.16 0.93 0.53 0.15 0.00 0.00 0.18 0.39 0.48 0.41 0.26 0.15 0.20 0.39 0.64 0.79 0.73 0.48 0.17 0.00 0.00 0.28 0.69 1.04 1.17 1.06 0.78 0.48 0.30 0.31 0.44 0.58 0.61 0.50 0.29 0.10 0.02 0.09 0.25 0.40 0.46 0.41 0.31 0.27 0.35 0.57 0.82 0.99 0.97 0.76 0.43 0.14 0.02 0.09 0.30 0.50 0.56 0.43 0.18 0.00 0.00 0.00 0.08 0.26 0.31 0.22 0.07 0.00 0.12 0.44 0.83 1.12 1.16 0.93 0.53 0.15 0.00 0.00 0.18 0.39 0.48 0.41 0.26 0.15 0.20 0.39 0.64 0.79 0.73 0.48 0.17 0.00 0.00 0.28 0.69 1.04 1.17 1.06 0.78 0.48 0.30 0.31 0.44 0.58 0.61 0.50 0.29 0.10 0.02 0.09 0.25 0.40 0.46 0.41 0.31 0.27 0.35 0.57 0.82 0.99 0.97 0.76 0.43 0.14 0.02 0.09 0.30 0.50 0.56 0.43 0.18 55.0 + 57.5 0.45 0.19 0.05 0.07 0.21 0.34 0.35 0.23 0.06 0.00 0.07 0.36 0.74 1.01 1.05 0.84 0.47 0.13 0.00 0.00 0.19 0.37 0.43 0.35 0.22 0.15 0.24 0.47 0.73 0.87 0.79 0.53 0.20 0.00 0.00 0.21 0.56 0.88 1.02 0.94 0.73 0.51 0.39 0.41 0.53 0.66 0.69 0.62 0.47 0.33 0.29 0.36 0.49 0.60 0.62 0.54 0.43 0.38 0.45 0.64 0.85 0.97 0.90 0.65 0.32 0.05 0.00 0.11 0.39 0.66 0.78 0.69 0.45 0.19 0.05 0.07 0.21 0.34 0.35 0.23 0.06 0.00 0.07 0.36 0.74 1.01 1.05 0.84 0.47 0.13 0.00 0.00 0.19 0.37 0.43 0.35 0.22 0.15 0.24 0.47 0.73 0.87 0.79 0.53 0.20 0.00 0.00 0.21 0.56 0.88 1.02 0.94 0.73 0.51 0.39 0.41 0.53 0.66 0.69 0.62 0.47 0.33 0.29 0.36 0.49 0.60 0.62 0.54 0.43 0.38 0.45 0.64 0.85 0.97 0.90 0.65 0.32 0.05 0.00 0.11 0.39 0.66 0.78 0.69 0.45 57.5 + 60.0 0.74 0.50 0.35 0.35 0.44 0.51 0.48 0.33 0.13 0.01 0.07 0.32 0.64 0.88 0.91 0.73 0.42 0.14 0.02 0.08 0.25 0.40 0.44 0.36 0.25 0.21 0.32 0.55 0.79 0.90 0.82 0.57 0.26 0.05 0.02 0.18 0.46 0.71 0.84 0.81 0.69 0.55 0.49 0.52 0.61 0.70 0.73 0.68 0.60 0.55 0.56 0.65 0.76 0.82 0.78 0.67 0.53 0.46 0.50 0.64 0.81 0.89 0.80 0.56 0.26 0.03 0.01 0.20 0.53 0.84 1.01 0.95 0.74 0.50 0.35 0.35 0.44 0.51 0.48 0.33 0.13 0.01 0.07 0.32 0.64 0.88 0.91 0.73 0.42 0.14 0.02 0.08 0.25 0.40 0.44 0.36 0.25 0.21 0.32 0.55 0.79 0.90 0.82 0.57 0.26 0.05 0.02 0.18 0.46 0.71 0.84 0.81 0.69 0.55 0.49 0.52 0.61 0.70 0.73 0.68 0.60 0.55 0.56 0.65 0.76 0.82 0.78 0.67 0.53 0.46 0.50 0.64 0.81 0.89 0.80 0.56 0.26 0.03 0.01 0.20 0.53 0.84 1.01 0.95 0.74 60.0 + 62.5 0.92 0.71 0.57 0.56 0.62 0.67 0.62 0.46 0.25 0.11 0.13 0.31 0.57 0.76 0.79 0.64 0.40 0.20 0.12 0.19 0.34 0.45 0.47 0.40 0.30 0.28 0.38 0.58 0.77 0.86 0.78 0.56 0.30 0.11 0.07 0.18 0.37 0.55 0.66 0.67 0.63 0.57 0.56 0.59 0.63 0.66 0.66 0.62 0.60 0.61 0.69 0.80 0.88 0.90 0.82 0.67 0.51 0.42 0.44 0.56 0.69 0.76 0.69 0.49 0.25 0.08 0.09 0.30 0.62 0.94 1.11 1.09 0.92 0.71 0.57 0.56 0.62 0.67 0.62 0.46 0.25 0.11 0.13 0.31 0.57 0.76 0.79 0.64 0.40 0.20 0.12 0.19 0.34 0.45 0.47 0.40 0.30 0.28 0.38 0.58 0.77 0.86 0.78 0.56 0.30 0.11 0.07 0.18 0.37 0.55 0.66 0.67 0.63 0.57 0.56 0.59 0.63 0.66 0.66 0.62 0.60 0.61 0.69 0.80 0.88 0.90 0.82 0.67 0.51 0.42 0.44 0.56 0.69 0.76 0.69 0.49 0.25 0.08 0.09 0.30 0.62 0.94 1.11 1.09 0.92 62.5 + 65.0 0.88 0.71 0.61 0.62 0.69 0.75 0.72 0.57 0.38 0.24 0.23 0.36 0.55 0.70 0.73 0.63 0.47 0.33 0.31 0.39 0.52 0.61 0.60 0.52 0.43 0.40 0.47 0.61 0.74 0.78 0.69 0.51 0.30 0.15 0.11 0.17 0.28 0.39 0.46 0.48 0.48 0.49 0.51 0.54 0.54 0.51 0.45 0.40 0.40 0.46 0.58 0.70 0.78 0.77 0.67 0.50 0.35 0.27 0.29 0.40 0.54 0.62 0.59 0.45 0.27 0.15 0.17 0.34 0.61 0.87 1.02 1.01 0.88 0.71 0.61 0.62 0.69 0.75 0.72 0.57 0.38 0.24 0.23 0.36 0.55 0.70 0.73 0.63 0.47 0.33 0.31 0.39 0.52 0.61 0.60 0.52 0.43 0.40 0.47 0.61 0.74 0.78 0.69 0.51 0.30 0.15 0.11 0.17 0.28 0.39 0.46 0.48 0.48 0.49 0.51 0.54 0.54 0.51 0.45 0.40 0.40 0.46 0.58 0.70 0.78 0.77 0.67 0.50 0.35 0.27 0.29 0.40 0.54 0.62 0.59 0.45 0.27 0.15 0.17 0.34 0.61 0.87 1.02 1.01 0.88 65.0 + 67.5 0.66 0.55 0.50 0.55 0.66 0.76 0.77 0.68 0.52 0.40 0.37 0.46 0.61 0.75 0.80 0.75 0.67 0.63 0.68 0.80 0.94 1.02 1.00 0.90 0.78 0.71 0.72 0.78 0.82 0.80 0.68 0.50 0.32 0.20 0.16 0.18 0.22 0.25 0.25 0.24 0.25 0.29 0.33 0.36 0.34 0.26 0.16 0.08 0.07 0.15 0.29 0.44 0.52 0.51 0.40 0.25 0.13 0.08 0.13 0.27 0.42 0.52 0.52 0.43 0.30 0.20 0.20 0.31 0.49 0.68 0.78 0.76 0.66 0.55 0.50 0.55 0.66 0.76 0.77 0.68 0.52 0.40 0.37 0.46 0.61 0.75 0.80 0.75 0.67 0.63 0.68 0.80 0.94 1.02 1.00 0.90 0.78 0.71 0.72 0.78 0.82 0.80 0.68 0.50 0.32 0.20 0.16 0.18 0.22 0.25 0.25 0.24 0.25 0.29 0.33 0.36 0.34 0.26 0.16 0.08 0.07 0.15 0.29 0.44 0.52 0.51 0.40 0.25 0.13 0.08 0.13 0.27 0.42 0.52 0.52 0.43 0.30 0.20 0.20 0.31 0.49 0.68 0.78 0.76 0.66 67.5 + 70.0 0.41 0.35 0.36 0.46 0.62 0.77 0.84 0.80 0.69 0.59 0.57 0.65 0.80 0.94 1.03 1.06 1.08 1.15 1.31 1.52 1.72 1.83 1.80 1.68 1.51 1.38 1.30 1.26 1.21 1.09 0.90 0.68 0.49 0.36 0.31 0.30 0.29 0.23 0.15 0.07 0.04 0.06 0.13 0.17 0.16 0.06 0.00 0.00 0.00 0.00 0.04 0.21 0.30 0.30 0.21 0.08 0.00 0.00 0.08 0.24 0.39 0.50 0.51 0.44 0.32 0.22 0.18 0.23 0.33 0.44 0.50 0.48 0.41 0.35 0.36 0.46 0.62 0.77 0.84 0.80 0.69 0.59 0.57 0.65 0.80 0.94 1.03 1.06 1.08 1.15 1.31 1.52 1.72 1.83 1.80 1.68 1.51 1.38 1.30 1.26 1.21 1.09 0.90 0.68 0.49 0.36 0.31 0.30 0.29 0.23 0.15 0.07 0.04 0.06 0.13 0.17 0.16 0.06 0.00 0.00 0.00 0.00 0.04 0.21 0.30 0.30 0.21 0.08 0.00 0.00 0.08 0.24 0.39 0.50 0.51 0.44 0.32 0.22 0.18 0.23 0.33 0.44 0.50 0.48 0.41 70.0 + 72.5 0.27 0.26 0.33 0.48 0.68 0.87 0.97 0.96 0.88 0.81 0.82 0.92 1.10 1.28 1.42 1.53 1.66 1.87 2.18 2.54 2.86 3.03 3.03 2.87 2.63 2.41 2.23 2.08 1.92 1.69 1.40 1.11 0.87 0.73 0.67 0.65 0.59 0.46 0.27 0.10 0.00 0.00 0.08 0.16 0.18 0.10 0.00 0.00 0.00 0.00 0.05 0.24 0.34 0.33 0.23 0.10 0.03 0.06 0.18 0.34 0.49 0.56 0.54 0.45 0.32 0.21 0.15 0.16 0.21 0.27 0.31 0.30 0.27 0.26 0.33 0.48 0.68 0.87 0.97 0.96 0.88 0.81 0.82 0.92 1.10 1.28 1.42 1.53 1.66 1.87 2.18 2.54 2.86 3.03 3.03 2.87 2.63 2.41 2.23 2.08 1.92 1.69 1.40 1.11 0.87 0.73 0.67 0.65 0.59 0.46 0.27 0.10 0.00 0.00 0.08 0.16 0.18 0.10 0.00 0.00 0.00 0.00 0.05 0.24 0.34 0.33 0.23 0.10 0.03 0.06 0.18 0.34 0.49 0.56 0.54 0.45 0.32 0.21 0.15 0.16 0.21 0.27 0.31 0.30 0.27 72.5 + 75.0 0.28 0.32 0.43 0.62 0.85 1.04 1.15 1.14 1.07 1.02 1.07 1.23 1.46 1.69 1.88 2.05 2.27 2.62 3.10 3.64 4.12 4.39 4.41 4.21 3.89 3.56 3.28 3.03 2.77 2.45 2.07 1.70 1.40 1.25 1.20 1.19 1.12 0.94 0.67 0.40 0.23 0.20 0.30 0.44 0.51 0.46 0.32 0.18 0.14 0.23 0.43 0.61 0.70 0.64 0.47 0.30 0.20 0.24 0.37 0.53 0.63 0.64 0.56 0.42 0.28 0.17 0.13 0.14 0.18 0.24 0.27 0.28 0.28 0.32 0.43 0.62 0.85 1.04 1.15 1.14 1.07 1.02 1.07 1.23 1.46 1.69 1.88 2.05 2.27 2.62 3.10 3.64 4.12 4.39 4.41 4.21 3.89 3.56 3.28 3.03 2.77 2.45 2.07 1.70 1.40 1.25 1.20 1.19 1.12 0.94 0.67 0.40 0.23 0.20 0.30 0.44 0.51 0.46 0.32 0.18 0.14 0.23 0.43 0.61 0.70 0.64 0.47 0.30 0.20 0.24 0.37 0.53 0.63 0.64 0.56 0.42 0.28 0.17 0.13 0.14 0.18 0.24 0.27 0.28 0.28 75.0 + 77.5 0.37 0.45 0.59 0.80 1.03 1.21 1.28 1.24 1.16 1.13 1.23 1.46 1.74 2.01 2.21 2.40 2.66 3.11 3.75 4.47 5.11 5.49 5.53 5.27 4.86 4.43 4.07 3.76 3.44 3.06 2.61 2.18 1.86 1.72 1.72 1.76 1.72 1.53 1.21 0.87 0.64 0.61 0.74 0.93 1.06 1.04 0.91 0.77 0.73 0.85 1.05 1.21 1.23 1.06 0.78 0.50 0.35 0.37 0.50 0.64 0.71 0.65 0.49 0.30 0.15 0.08 0.08 0.14 0.21 0.28 0.32 0.34 0.37 0.45 0.59 0.80 1.03 1.21 1.28 1.24 1.16 1.13 1.23 1.46 1.74 2.01 2.21 2.40 2.66 3.11 3.75 4.47 5.11 5.49 5.53 5.27 4.86 4.43 4.07 3.76 3.44 3.06 2.61 2.18 1.86 1.72 1.72 1.76 1.72 1.53 1.21 0.87 0.64 0.61 0.74 0.93 1.06 1.04 0.91 0.77 0.73 0.85 1.05 1.21 1.23 1.06 0.78 0.50 0.35 0.37 0.50 0.64 0.71 0.65 0.49 0.30 0.15 0.08 0.08 0.14 0.21 0.28 0.32 0.34 0.37 77.5 + 80.0 0.39 0.49 0.66 0.88 1.10 1.23 1.25 1.16 1.05 1.04 1.19 1.48 1.80 2.06 2.23 2.36 2.60 3.09 3.84 4.71 5.48 5.93 5.98 5.66 5.17 4.66 4.26 3.94 3.61 3.21 2.75 2.30 2.00 1.90 1.98 2.11 2.13 1.96 1.62 1.25 1.01 0.98 1.16 1.40 1.57 1.57 1.45 1.32 1.31 1.44 1.65 1.78 1.69 1.37 0.92 0.51 0.29 0.29 0.43 0.58 0.61 0.49 0.27 0.06 0.00 0.00 0.00 0.11 0.23 0.30 0.34 0.35 0.39 0.49 0.66 0.88 1.10 1.23 1.25 1.16 1.05 1.04 1.19 1.48 1.80 2.06 2.23 2.36 2.60 3.09 3.84 4.71 5.48 5.93 5.98 5.66 5.17 4.66 4.26 3.94 3.61 3.21 2.75 2.30 2.00 1.90 1.98 2.11 2.13 1.96 1.62 1.25 1.01 0.98 1.16 1.40 1.57 1.57 1.45 1.32 1.31 1.44 1.65 1.78 1.69 1.37 0.92 0.51 0.29 0.29 0.43 0.58 0.61 0.49 0.27 0.06 0.00 0.00 0.00 0.11 0.23 0.30 0.34 0.35 0.39 80.0 + 82.5 0.24 0.34 0.53 0.75 0.95 1.04 0.99 0.84 0.71 0.71 0.90 1.22 1.55 1.77 1.84 1.86 2.02 2.49 3.28 4.24 5.09 5.59 5.62 5.25 4.70 4.17 3.77 3.48 3.20 2.84 2.39 1.97 1.71 1.69 1.87 2.09 2.18 2.04 1.71 1.33 1.10 1.10 1.32 1.60 1.79 1.80 1.69 1.59 1.62 1.80 2.02 2.10 1.90 1.41 0.79 0.25 0.00 0.00 0.15 0.32 0.35 0.20 0.00 0.00 0.00 0.00 0.00 0.02 0.16 0.23 0.23 0.21 0.24 0.34 0.53 0.75 0.95 1.04 0.99 0.84 0.71 0.71 0.90 1.22 1.55 1.77 1.84 1.86 2.02 2.49 3.28 4.24 5.09 5.59 5.62 5.25 4.70 4.17 3.77 3.48 3.20 2.84 2.39 1.97 1.71 1.69 1.87 2.09 2.18 2.04 1.71 1.33 1.10 1.10 1.32 1.60 1.79 1.80 1.69 1.59 1.62 1.80 2.02 2.10 1.90 1.41 0.79 0.25 0.00 0.00 0.15 0.32 0.35 0.20 0.00 0.00 0.00 0.00 0.00 0.02 0.16 0.23 0.23 0.21 0.24 82.5 + 85.0 0.00 0.04 0.23 0.46 0.63 0.67 0.56 0.36 0.20 0.20 0.41 0.75 1.05 1.18 1.13 1.01 1.07 1.48 2.27 3.26 4.15 4.65 4.66 4.27 3.70 3.19 2.85 2.64 2.43 2.12 1.72 1.35 1.15 1.21 1.47 1.76 1.90 1.78 1.46 1.09 0.88 0.92 1.17 1.48 1.67 1.69 1.60 1.54 1.65 1.90 2.16 2.20 1.89 1.25 0.47 0.00 0.00 0.00 0.00 0.01 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.06 0.00 0.00 0.00 0.04 0.23 0.46 0.63 0.67 0.56 0.36 0.20 0.20 0.41 0.75 1.05 1.18 1.13 1.01 1.07 1.48 2.27 3.26 4.15 4.65 4.66 4.27 3.70 3.19 2.85 2.64 2.43 2.12 1.72 1.35 1.15 1.21 1.47 1.76 1.90 1.78 1.46 1.09 0.88 0.92 1.17 1.48 1.67 1.69 1.60 1.54 1.65 1.90 2.16 2.20 1.89 1.25 0.47 0.00 0.00 0.00 0.00 0.01 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.06 0.00 0.00 0.00 85.0 + 87.5 0.00 0.00 0.00 0.13 0.27 0.26 0.09 0.00 0.00 0.00 0.00 0.21 0.47 0.52 0.34 0.12 0.08 0.44 1.21 2.19 3.07 3.55 3.55 3.16 2.63 2.20 1.95 1.84 1.71 1.45 1.09 0.76 0.61 0.73 1.05 1.38 1.54 1.42 1.09 0.73 0.54 0.62 0.89 1.21 1.41 1.44 1.39 1.42 1.63 1.98 2.28 2.31 1.91 1.16 0.27 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.27 0.26 0.09 0.00 0.00 0.00 0.00 0.21 0.47 0.52 0.34 0.12 0.08 0.44 1.21 2.19 3.07 3.55 3.55 3.16 2.63 2.20 1.95 1.84 1.71 1.45 1.09 0.76 0.61 0.73 1.05 1.38 1.54 1.42 1.09 0.73 0.54 0.62 0.89 1.21 1.41 1.44 1.39 1.42 1.63 1.98 2.28 2.31 1.91 1.16 0.27 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 87.5 + 90.0 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.02 0.00 0.00 0.00 0.00 0.48 1.43 2.27 2.72 2.70 2.34 1.89 1.57 1.44 1.42 1.35 1.13 0.80 0.50 0.39 0.55 0.90 1.23 1.37 1.23 0.90 0.55 0.39 0.50 0.80 1.13 1.35 1.42 1.44 1.57 1.89 2.34 2.70 2.72 2.27 1.43 0.48 0.00 0.00 0.00 0.00 0.02 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.02 0.00 0.00 0.00 0.00 0.48 1.43 2.27 2.72 2.70 2.34 1.89 1.57 1.44 1.42 1.35 1.13 0.80 0.50 0.39 0.55 0.90 1.23 1.37 1.23 0.90 0.55 0.39 0.50 0.80 1.13 1.35 1.42 1.44 1.57 1.89 2.34 2.70 2.72 2.27 1.43 0.48 0.00 0.00 0.00 0.00 0.02 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 90.0 + + 40.0 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.66 ) PHI2 = 40. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.0 + 2.5 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.38 0.39 0.38 0.40 0.49 0.64 0.84 1.05 1.27 1.51 1.76 2.00 2.18 2.26 2.22 2.07 1.85 1.61 1.37 1.15 0.93 0.73 0.56 0.45 0.41 0.39 0.36 0.24 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.24 0.35 0.38 0.40 0.44 0.56 0.73 0.93 1.15 1.38 1.62 1.86 2.08 2.23 2.28 2.19 2.01 1.77 1.51 1.27 1.05 0.84 0.64 0.49 0.39 0.37 0.38 0.37 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.38 0.39 0.38 0.40 0.49 0.64 0.84 1.05 1.27 1.51 1.76 2.00 2.18 2.26 2.22 2.07 1.85 1.61 1.37 1.15 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0.61 0.70 0.70 0.61 0.49 0.39 0.36 0.42 0.55 0.74 0.98 1.27 1.58 1.91 2.19 2.40 2.47 2.40 2.22 1.97 1.69 1.43 1.19 1.00 0.87 0.80 0.78 0.78 0.75 0.65 0.50 0.32 0.18 0.14 0.21 0.36 0.53 0.66 0.73 0.75 0.76 0.81 0.91 1.07 1.27 1.50 1.77 2.05 2.31 2.51 2.58 2.51 2.29 1.97 1.62 1.28 0.99 0.74 0.55 0.40 0.33 0.33 0.41 0.53 0.63 0.66 0.60 0.49 0.37 0.31 0.35 0.47 0.61 0.70 0.70 0.61 0.49 0.39 0.36 0.42 0.55 0.74 0.98 1.27 1.58 1.91 2.19 2.40 2.47 2.40 2.22 1.97 1.69 1.43 1.19 1.00 0.87 0.80 0.78 0.78 0.75 0.65 0.50 0.32 0.18 0.14 0.21 0.36 0.53 0.66 0.73 0.75 0.76 0.81 0.91 1.07 1.27 1.50 1.77 2.05 2.31 2.51 2.58 2.51 2.29 1.97 1.62 1.28 0.99 0.74 0.55 0.40 0.33 0.33 0.41 0.53 0.63 0.66 0.60 0.49 7.5 + 10.0 0.87 0.78 0.74 0.76 0.83 0.93 0.98 0.96 0.86 0.71 0.56 0.48 0.48 0.57 0.73 0.94 1.21 1.51 1.85 2.17 2.42 2.57 2.57 2.44 2.21 1.94 1.68 1.46 1.30 1.22 1.20 1.22 1.25 1.24 1.18 1.06 0.92 0.83 0.81 0.89 1.01 1.14 1.23 1.27 1.26 1.26 1.28 1.35 1.47 1.64 1.84 2.09 2.35 2.59 2.73 2.74 2.59 2.30 1.93 1.55 1.20 0.92 0.71 0.55 0.45 0.42 0.47 0.59 0.74 0.87 0.94 0.93 0.87 0.78 0.74 0.76 0.83 0.93 0.98 0.96 0.86 0.71 0.56 0.48 0.48 0.57 0.73 0.94 1.21 1.51 1.85 2.17 2.42 2.57 2.57 2.44 2.21 1.94 1.68 1.46 1.30 1.22 1.20 1.22 1.25 1.24 1.18 1.06 0.92 0.83 0.81 0.89 1.01 1.14 1.23 1.27 1.26 1.26 1.28 1.35 1.47 1.64 1.84 2.09 2.35 2.59 2.73 2.74 2.59 2.30 1.93 1.55 1.20 0.92 0.71 0.55 0.45 0.42 0.47 0.59 0.74 0.87 0.94 0.93 0.87 10.0 + 12.5 1.18 1.13 1.08 1.08 1.12 1.18 1.22 1.21 1.13 0.99 0.84 0.73 0.69 0.72 0.83 1.00 1.21 1.46 1.76 2.08 2.37 2.57 2.65 2.58 2.40 2.16 1.93 1.74 1.63 1.61 1.65 1.72 1.79 1.82 1.79 1.71 1.62 1.57 1.58 1.66 1.77 1.86 1.91 1.91 1.87 1.84 1.83 1.86 1.93 2.05 2.21 2.41 2.62 2.79 2.86 2.78 2.55 2.21 1.83 1.47 1.16 0.94 0.78 0.68 0.63 0.65 0.72 0.84 0.98 1.11 1.19 1.21 1.18 1.13 1.08 1.08 1.12 1.18 1.22 1.21 1.13 0.99 0.84 0.73 0.69 0.72 0.83 1.00 1.21 1.46 1.76 2.08 2.37 2.57 2.65 2.58 2.40 2.16 1.93 1.74 1.63 1.61 1.65 1.72 1.79 1.82 1.79 1.71 1.62 1.57 1.58 1.66 1.77 1.86 1.91 1.91 1.87 1.84 1.83 1.86 1.93 2.05 2.21 2.41 2.62 2.79 2.86 2.78 2.55 2.21 1.83 1.47 1.16 0.94 0.78 0.68 0.63 0.65 0.72 0.84 0.98 1.11 1.19 1.21 1.18 12.5 + 15.0 1.35 1.32 1.28 1.25 1.25 1.29 1.32 1.34 1.30 1.21 1.09 0.98 0.92 0.92 0.97 1.07 1.20 1.39 1.63 1.92 2.22 2.47 2.61 2.61 2.49 2.29 2.09 1.93 1.85 1.86 1.95 2.07 2.18 2.25 2.26 2.23 2.18 2.17 2.20 2.28 2.38 2.44 2.45 2.40 2.34 2.27 2.23 2.23 2.27 2.35 2.47 2.61 2.75 2.84 2.81 2.65 2.36 2.01 1.64 1.33 1.10 0.96 0.87 0.84 0.84 0.89 0.96 1.06 1.16 1.25 1.32 1.36 1.35 1.32 1.28 1.25 1.25 1.29 1.32 1.34 1.30 1.21 1.09 0.98 0.92 0.92 0.97 1.07 1.20 1.39 1.63 1.92 2.22 2.47 2.61 2.61 2.49 2.29 2.09 1.93 1.85 1.86 1.95 2.07 2.18 2.25 2.26 2.23 2.18 2.17 2.20 2.28 2.38 2.44 2.45 2.40 2.34 2.27 2.23 2.23 2.27 2.35 2.47 2.61 2.75 2.84 2.81 2.65 2.36 2.01 1.64 1.33 1.10 0.96 0.87 0.84 0.84 0.89 0.96 1.06 1.16 1.25 1.32 1.36 1.35 15.0 + 17.5 1.35 1.35 1.32 1.26 1.21 1.20 1.23 1.27 1.29 1.26 1.18 1.10 1.03 1.01 1.02 1.06 1.13 1.25 1.43 1.68 1.98 2.26 2.46 2.53 2.46 2.29 2.10 1.94 1.87 1.88 1.98 2.12 2.27 2.38 2.44 2.45 2.45 2.47 2.52 2.60 2.67 2.70 2.66 2.58 2.48 2.39 2.33 2.33 2.36 2.43 2.53 2.63 2.71 2.71 2.59 2.35 2.03 1.67 1.36 1.12 0.97 0.90 0.88 0.89 0.93 0.98 1.04 1.10 1.16 1.21 1.27 1.32 1.35 1.35 1.32 1.26 1.21 1.20 1.23 1.27 1.29 1.26 1.18 1.10 1.03 1.01 1.02 1.06 1.13 1.25 1.43 1.68 1.98 2.26 2.46 2.53 2.46 2.29 2.10 1.94 1.87 1.88 1.98 2.12 2.27 2.38 2.44 2.45 2.45 2.47 2.52 2.60 2.67 2.70 2.66 2.58 2.48 2.39 2.33 2.33 2.36 2.43 2.53 2.63 2.71 2.71 2.59 2.35 2.03 1.67 1.36 1.12 0.97 0.90 0.88 0.89 0.93 0.98 1.04 1.10 1.16 1.21 1.27 1.32 1.35 17.5 + 20.0 1.18 1.22 1.19 1.11 1.01 0.95 0.94 0.99 1.04 1.06 1.04 0.99 0.94 0.91 0.90 0.92 0.96 1.04 1.19 1.42 1.70 2.00 2.23 2.34 2.31 2.17 1.98 1.81 1.71 1.70 1.78 1.92 2.09 2.24 2.35 2.43 2.48 2.53 2.60 2.66 2.71 2.69 2.62 2.49 2.35 2.23 2.17 2.17 2.22 2.30 2.40 2.47 2.49 2.41 2.22 1.93 1.59 1.26 0.99 0.82 0.73 0.71 0.73 0.76 0.81 0.86 0.90 0.92 0.94 0.97 1.03 1.11 1.18 1.22 1.19 1.11 1.01 0.95 0.94 0.99 1.04 1.06 1.04 0.99 0.94 0.91 0.90 0.92 0.96 1.04 1.19 1.42 1.70 2.00 2.23 2.34 2.31 2.17 1.98 1.81 1.71 1.70 1.78 1.92 2.09 2.24 2.35 2.43 2.48 2.53 2.60 2.66 2.71 2.69 2.62 2.49 2.35 2.23 2.17 2.17 2.22 2.30 2.40 2.47 2.49 2.41 2.22 1.93 1.59 1.26 0.99 0.82 0.73 0.71 0.73 0.76 0.81 0.86 0.90 0.92 0.94 0.97 1.03 1.11 1.18 20.0 + 22.5 0.89 0.97 0.95 0.85 0.70 0.57 0.53 0.56 0.64 0.70 0.72 0.70 0.66 0.64 0.65 0.68 0.72 0.80 0.93 1.14 1.42 1.71 1.95 2.08 2.08 1.97 1.80 1.63 1.51 1.47 1.53 1.67 1.85 2.04 2.22 2.36 2.47 2.57 2.65 2.71 2.73 2.67 2.55 2.37 2.19 2.05 1.97 1.96 2.01 2.09 2.16 2.20 2.16 2.02 1.77 1.46 1.12 0.82 0.61 0.48 0.43 0.42 0.44 0.47 0.52 0.56 0.58 0.57 0.56 0.57 0.64 0.76 0.89 0.97 0.95 0.85 0.70 0.57 0.53 0.56 0.64 0.70 0.72 0.70 0.66 0.64 0.65 0.68 0.72 0.80 0.93 1.14 1.42 1.71 1.95 2.08 2.08 1.97 1.80 1.63 1.51 1.47 1.53 1.67 1.85 2.04 2.22 2.36 2.47 2.57 2.65 2.71 2.73 2.67 2.55 2.37 2.19 2.05 1.97 1.96 2.01 2.09 2.16 2.20 2.16 2.02 1.77 1.46 1.12 0.82 0.61 0.48 0.43 0.42 0.44 0.47 0.52 0.56 0.58 0.57 0.56 0.57 0.64 0.76 0.89 22.5 + 25.0 0.52 0.64 0.64 0.53 0.34 0.17 0.09 0.12 0.20 0.29 0.34 0.34 0.32 0.32 0.35 0.40 0.48 0.57 0.70 0.89 1.13 1.40 1.63 1.77 1.81 1.74 1.62 1.49 1.39 1.37 1.42 1.56 1.76 2.00 2.24 2.46 2.65 2.80 2.91 2.97 2.96 2.88 2.72 2.50 2.28 2.08 1.96 1.90 1.90 1.93 1.94 1.91 1.80 1.59 1.31 0.99 0.68 0.43 0.26 0.17 0.12 0.10 0.10 0.12 0.16 0.19 0.20 0.18 0.14 0.14 0.21 0.36 0.52 0.64 0.64 0.53 0.34 0.17 0.09 0.12 0.20 0.29 0.34 0.34 0.32 0.32 0.35 0.40 0.48 0.57 0.70 0.89 1.13 1.40 1.63 1.77 1.81 1.74 1.62 1.49 1.39 1.37 1.42 1.56 1.76 2.00 2.24 2.46 2.65 2.80 2.91 2.97 2.96 2.88 2.72 2.50 2.28 2.08 1.96 1.90 1.90 1.93 1.94 1.91 1.80 1.59 1.31 0.99 0.68 0.43 0.26 0.17 0.12 0.10 0.10 0.12 0.16 0.19 0.20 0.18 0.14 0.14 0.21 0.36 0.52 25.0 + 27.5 0.18 0.32 0.33 0.22 0.02 0.00 0.00 0.00 0.00 0.00 0.04 0.05 0.05 0.05 0.10 0.18 0.27 0.38 0.50 0.66 0.85 1.07 1.27 1.42 1.50 1.51 1.47 1.43 1.41 1.45 1.54 1.69 1.91 2.18 2.47 2.76 3.01 3.22 3.37 3.45 3.44 3.34 3.16 2.93 2.67 2.42 2.22 2.08 1.97 1.89 1.80 1.66 1.46 1.19 0.88 0.57 0.31 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.18 0.32 0.33 0.22 0.02 0.00 0.00 0.00 0.00 0.00 0.04 0.05 0.05 0.05 0.10 0.18 0.27 0.38 0.50 0.66 0.85 1.07 1.27 1.42 1.50 1.51 1.47 1.43 1.41 1.45 1.54 1.69 1.91 2.18 2.47 2.76 3.01 3.22 3.37 3.45 3.44 3.34 3.16 2.93 2.67 2.42 2.22 2.08 1.97 1.89 1.80 1.66 1.46 1.19 0.88 0.57 0.31 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.18 27.5 + 30.0 0.00 0.06 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.13 0.23 0.33 0.44 0.59 0.75 0.92 1.06 1.17 1.26 1.33 1.41 1.51 1.62 1.77 1.94 2.16 2.43 2.74 3.06 3.36 3.62 3.80 3.90 3.90 3.82 3.66 3.44 3.17 2.89 2.62 2.37 2.14 1.93 1.71 1.46 1.17 0.85 0.53 0.25 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.13 0.23 0.33 0.44 0.59 0.75 0.92 1.06 1.17 1.26 1.33 1.41 1.51 1.62 1.77 1.94 2.16 2.43 2.74 3.06 3.36 3.62 3.80 3.90 3.90 3.82 3.66 3.44 3.17 2.89 2.62 2.37 2.14 1.93 1.71 1.46 1.17 0.85 0.53 0.25 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 30.0 + 32.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.12 0.19 0.27 0.37 0.49 0.63 0.76 0.89 1.02 1.18 1.36 1.55 1.74 1.92 2.09 2.28 2.51 2.78 3.09 3.39 3.66 3.86 3.98 4.01 3.96 3.85 3.68 3.45 3.17 2.86 2.54 2.22 1.91 1.61 1.29 0.96 0.62 0.30 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.12 0.19 0.27 0.37 0.49 0.63 0.76 0.89 1.02 1.18 1.36 1.55 1.74 1.92 2.09 2.28 2.51 2.78 3.09 3.39 3.66 3.86 3.98 4.01 3.96 3.85 3.68 3.45 3.17 2.86 2.54 2.22 1.91 1.61 1.29 0.96 0.62 0.30 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 32.5 + 35.0 0.00 0.05 0.09 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.10 0.17 0.26 0.37 0.49 0.60 0.70 0.84 1.01 1.22 1.46 1.68 1.86 1.98 2.09 2.23 2.43 2.68 2.95 3.20 3.39 3.50 3.55 3.54 3.49 3.40 3.24 3.02 2.73 2.41 2.07 1.75 1.44 1.14 0.82 0.51 0.22 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.10 0.17 0.26 0.37 0.49 0.60 0.70 0.84 1.01 1.22 1.46 1.68 1.86 1.98 2.09 2.23 2.43 2.68 2.95 3.20 3.39 3.50 3.55 3.54 3.49 3.40 3.24 3.02 2.73 2.41 2.07 1.75 1.44 1.14 0.82 0.51 0.22 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.00 0.00 35.0 + 37.5 0.17 0.28 0.33 0.31 0.23 0.13 0.06 0.04 0.06 0.09 0.11 0.10 0.07 0.04 0.01 0.00 0.00 0.02 0.07 0.17 0.30 0.44 0.55 0.62 0.67 0.74 0.86 1.04 1.26 1.45 1.57 1.61 1.62 1.65 1.75 1.93 2.15 2.36 2.51 2.59 2.61 2.62 2.62 2.62 2.56 2.43 2.23 1.96 1.69 1.44 1.21 1.01 0.79 0.55 0.29 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.14 0.26 0.32 0.29 0.21 0.11 0.05 0.08 0.17 0.28 0.33 0.31 0.23 0.13 0.06 0.04 0.06 0.09 0.11 0.10 0.07 0.04 0.01 0.00 0.00 0.02 0.07 0.17 0.30 0.44 0.55 0.62 0.67 0.74 0.86 1.04 1.26 1.45 1.57 1.61 1.62 1.65 1.75 1.93 2.15 2.36 2.51 2.59 2.61 2.62 2.62 2.62 2.56 2.43 2.23 1.96 1.69 1.44 1.21 1.01 0.79 0.55 0.29 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.14 0.26 0.32 0.29 0.21 0.11 0.05 0.08 0.17 37.5 + 40.0 0.45 0.54 0.61 0.63 0.58 0.49 0.39 0.31 0.26 0.23 0.23 0.24 0.23 0.21 0.16 0.09 0.03 0.02 0.10 0.25 0.45 0.65 0.77 0.80 0.76 0.73 0.76 0.86 1.01 1.14 1.18 1.13 1.03 0.97 1.00 1.13 1.32 1.48 1.57 1.58 1.55 1.53 1.56 1.62 1.66 1.64 1.53 1.36 1.18 1.04 0.96 0.90 0.82 0.68 0.47 0.24 0.04 0.00 0.00 0.00 0.00 0.04 0.13 0.23 0.34 0.43 0.49 0.50 0.45 0.39 0.36 0.37 0.45 0.54 0.61 0.63 0.58 0.49 0.39 0.31 0.26 0.23 0.23 0.24 0.23 0.21 0.16 0.09 0.03 0.02 0.10 0.25 0.45 0.65 0.77 0.80 0.76 0.73 0.76 0.86 1.01 1.14 1.18 1.13 1.03 0.97 1.00 1.13 1.32 1.48 1.57 1.58 1.55 1.53 1.56 1.62 1.66 1.64 1.53 1.36 1.18 1.04 0.96 0.90 0.82 0.68 0.47 0.24 0.04 0.00 0.00 0.00 0.00 0.04 0.13 0.23 0.34 0.43 0.49 0.50 0.45 0.39 0.36 0.37 0.45 40.0 + 42.5 0.62 0.69 0.78 0.84 0.84 0.77 0.65 0.52 0.40 0.34 0.35 0.40 0.44 0.44 0.37 0.24 0.11 0.06 0.14 0.35 0.63 0.88 1.01 0.99 0.87 0.74 0.68 0.72 0.81 0.87 0.84 0.70 0.54 0.43 0.44 0.58 0.77 0.91 0.94 0.86 0.73 0.65 0.67 0.76 0.87 0.93 0.89 0.79 0.69 0.66 0.71 0.80 0.86 0.81 0.65 0.41 0.18 0.03 0.00 0.05 0.17 0.29 0.38 0.45 0.50 0.54 0.59 0.61 0.61 0.59 0.57 0.57 0.62 0.69 0.78 0.84 0.84 0.77 0.65 0.52 0.40 0.34 0.35 0.40 0.44 0.44 0.37 0.24 0.11 0.06 0.14 0.35 0.63 0.88 1.01 0.99 0.87 0.74 0.68 0.72 0.81 0.87 0.84 0.70 0.54 0.43 0.44 0.58 0.77 0.91 0.94 0.86 0.73 0.65 0.67 0.76 0.87 0.93 0.89 0.79 0.69 0.66 0.71 0.80 0.86 0.81 0.65 0.41 0.18 0.03 0.00 0.05 0.17 0.29 0.38 0.45 0.50 0.54 0.59 0.61 0.61 0.59 0.57 0.57 0.62 42.5 + 45.0 0.58 0.62 0.72 0.83 0.90 0.88 0.77 0.61 0.46 0.39 0.44 0.57 0.69 0.72 0.62 0.42 0.19 0.08 0.14 0.39 0.72 1.00 1.12 1.06 0.87 0.68 0.58 0.60 0.67 0.69 0.61 0.43 0.23 0.12 0.18 0.38 0.62 0.77 0.75 0.58 0.35 0.19 0.16 0.26 0.40 0.49 0.48 0.39 0.31 0.32 0.44 0.64 0.80 0.84 0.72 0.49 0.24 0.09 0.09 0.21 0.40 0.55 0.63 0.63 0.59 0.56 0.56 0.60 0.64 0.65 0.62 0.59 0.58 0.62 0.72 0.83 0.90 0.88 0.77 0.61 0.46 0.39 0.44 0.57 0.69 0.72 0.62 0.42 0.19 0.08 0.14 0.39 0.72 1.00 1.12 1.06 0.87 0.68 0.58 0.60 0.67 0.69 0.61 0.43 0.23 0.12 0.18 0.38 0.62 0.77 0.75 0.58 0.35 0.19 0.16 0.26 0.40 0.49 0.48 0.39 0.31 0.32 0.44 0.64 0.80 0.84 0.72 0.49 0.24 0.09 0.09 0.21 0.40 0.55 0.63 0.63 0.59 0.56 0.56 0.60 0.64 0.65 0.62 0.59 0.58 45.0 + 47.5 0.34 0.33 0.43 0.59 0.74 0.79 0.72 0.56 0.41 0.37 0.49 0.71 0.92 1.00 0.87 0.58 0.26 0.06 0.08 0.32 0.66 0.93 1.02 0.92 0.69 0.49 0.41 0.46 0.56 0.59 0.49 0.28 0.07 0.01 0.14 0.44 0.76 0.95 0.90 0.65 0.33 0.08 0.00 0.09 0.24 0.33 0.30 0.17 0.04 0.03 0.16 0.40 0.62 0.72 0.64 0.43 0.20 0.09 0.15 0.36 0.62 0.80 0.85 0.76 0.60 0.48 0.44 0.47 0.54 0.57 0.52 0.42 0.34 0.33 0.43 0.59 0.74 0.79 0.72 0.56 0.41 0.37 0.49 0.71 0.92 1.00 0.87 0.58 0.26 0.06 0.08 0.32 0.66 0.93 1.02 0.92 0.69 0.49 0.41 0.46 0.56 0.59 0.49 0.28 0.07 0.01 0.14 0.44 0.76 0.95 0.90 0.65 0.33 0.08 0.00 0.09 0.24 0.33 0.30 0.17 0.04 0.03 0.16 0.40 0.62 0.72 0.64 0.43 0.20 0.09 0.15 0.36 0.62 0.80 0.85 0.76 0.60 0.48 0.44 0.47 0.54 0.57 0.52 0.42 0.34 47.5 + 50.0 0.02 0.00 0.04 0.24 0.46 0.57 0.54 0.40 0.27 0.28 0.47 0.79 1.09 1.21 1.07 0.71 0.30 0.01 0.00 0.17 0.48 0.71 0.76 0.61 0.38 0.20 0.19 0.31 0.47 0.53 0.42 0.19 0.00 0.00 0.17 0.56 0.96 1.19 1.14 0.84 0.45 0.14 0.03 0.10 0.25 0.33 0.26 0.07 0.00 0.00 0.00 0.13 0.37 0.50 0.46 0.29 0.11 0.06 0.20 0.49 0.80 0.99 0.98 0.79 0.52 0.31 0.24 0.29 0.39 0.43 0.35 0.19 0.02 0.00 0.04 0.24 0.46 0.57 0.54 0.40 0.27 0.28 0.47 0.79 1.09 1.21 1.07 0.71 0.30 0.01 0.00 0.17 0.48 0.71 0.76 0.61 0.38 0.20 0.19 0.31 0.47 0.53 0.42 0.19 0.00 0.00 0.17 0.56 0.96 1.19 1.14 0.84 0.45 0.14 0.03 0.10 0.25 0.33 0.26 0.07 0.00 0.00 0.00 0.13 0.37 0.50 0.46 0.29 0.11 0.06 0.20 0.49 0.80 0.99 0.98 0.79 0.52 0.31 0.24 0.29 0.39 0.43 0.35 0.19 0.02 50.0 + 52.5 0.00 0.00 0.00 0.00 0.20 0.36 0.34 0.21 0.10 0.14 0.40 0.80 1.17 1.32 1.17 0.78 0.31 0.00 0.00 0.04 0.30 0.48 0.47 0.29 0.07 0.00 0.00 0.20 0.41 0.49 0.38 0.13 0.00 0.00 0.16 0.60 1.05 1.30 1.26 0.95 0.54 0.21 0.09 0.16 0.30 0.37 0.27 0.05 0.00 0.00 0.00 0.00 0.19 0.33 0.31 0.18 0.05 0.06 0.27 0.60 0.93 1.10 1.02 0.74 0.39 0.12 0.04 0.12 0.27 0.34 0.26 0.04 0.00 0.00 0.00 0.00 0.20 0.36 0.34 0.21 0.10 0.14 0.40 0.80 1.17 1.32 1.17 0.78 0.31 0.00 0.00 0.04 0.30 0.48 0.47 0.29 0.07 0.00 0.00 0.20 0.41 0.49 0.38 0.13 0.00 0.00 0.16 0.60 1.05 1.30 1.26 0.95 0.54 0.21 0.09 0.16 0.30 0.37 0.27 0.05 0.00 0.00 0.00 0.00 0.19 0.33 0.31 0.18 0.05 0.06 0.27 0.60 0.93 1.10 1.02 0.74 0.39 0.12 0.04 0.12 0.27 0.34 0.26 0.04 0.00 52.5 + 55.0 0.00 0.00 0.00 0.00 0.11 0.26 0.23 0.09 0.00 0.02 0.31 0.74 1.15 1.33 1.19 0.80 0.32 0.00 0.00 0.00 0.20 0.33 0.28 0.09 0.00 0.00 0.00 0.19 0.43 0.52 0.39 0.12 0.00 0.00 0.11 0.55 0.99 1.25 1.22 0.93 0.55 0.25 0.14 0.21 0.35 0.41 0.32 0.10 0.00 0.00 0.00 0.00 0.19 0.32 0.31 0.19 0.10 0.14 0.37 0.71 1.02 1.15 1.00 0.65 0.25 0.00 0.00 0.06 0.27 0.40 0.33 0.10 0.00 0.00 0.00 0.00 0.11 0.26 0.23 0.09 0.00 0.02 0.31 0.74 1.15 1.33 1.19 0.80 0.32 0.00 0.00 0.00 0.20 0.33 0.28 0.09 0.00 0.00 0.00 0.19 0.43 0.52 0.39 0.12 0.00 0.00 0.11 0.55 0.99 1.25 1.22 0.93 0.55 0.25 0.14 0.21 0.35 0.41 0.32 0.10 0.00 0.00 0.00 0.00 0.19 0.32 0.31 0.19 0.10 0.14 0.37 0.71 1.02 1.15 1.00 0.65 0.25 0.00 0.00 0.06 0.27 0.40 0.33 0.10 0.00 55.0 + 57.5 0.08 0.00 0.00 0.03 0.22 0.31 0.25 0.07 0.00 0.00 0.23 0.66 1.06 1.24 1.13 0.77 0.33 0.01 0.00 0.03 0.21 0.30 0.24 0.06 0.00 0.00 0.00 0.28 0.52 0.60 0.46 0.19 0.00 0.00 0.10 0.48 0.87 1.10 1.09 0.86 0.55 0.30 0.22 0.30 0.42 0.48 0.40 0.22 0.03 0.00 0.00 0.18 0.38 0.49 0.45 0.33 0.23 0.27 0.48 0.80 1.06 1.13 0.95 0.58 0.17 0.00 0.00 0.12 0.41 0.60 0.57 0.36 0.08 0.00 0.00 0.03 0.22 0.31 0.25 0.07 0.00 0.00 0.23 0.66 1.06 1.24 1.13 0.77 0.33 0.01 0.00 0.03 0.21 0.30 0.24 0.06 0.00 0.00 0.00 0.28 0.52 0.60 0.46 0.19 0.00 0.00 0.10 0.48 0.87 1.10 1.09 0.86 0.55 0.30 0.22 0.30 0.42 0.48 0.40 0.22 0.03 0.00 0.00 0.18 0.38 0.49 0.45 0.33 0.23 0.27 0.48 0.80 1.06 1.13 0.95 0.58 0.17 0.00 0.00 0.12 0.41 0.60 0.57 0.36 0.08 57.5 + 60.0 0.44 0.25 0.21 0.30 0.43 0.47 0.36 0.15 0.00 0.00 0.20 0.57 0.93 1.09 1.00 0.68 0.31 0.05 0.00 0.09 0.25 0.33 0.26 0.10 0.00 0.00 0.13 0.39 0.62 0.68 0.55 0.31 0.08 0.01 0.14 0.43 0.75 0.94 0.94 0.78 0.56 0.40 0.35 0.41 0.51 0.55 0.48 0.35 0.23 0.21 0.30 0.48 0.64 0.70 0.63 0.48 0.36 0.38 0.55 0.81 1.03 1.07 0.88 0.53 0.17 0.00 0.02 0.28 0.61 0.84 0.87 0.69 0.44 0.25 0.21 0.30 0.43 0.47 0.36 0.15 0.00 0.00 0.20 0.57 0.93 1.09 1.00 0.68 0.31 0.05 0.00 0.09 0.25 0.33 0.26 0.10 0.00 0.00 0.13 0.39 0.62 0.68 0.55 0.31 0.08 0.01 0.14 0.43 0.75 0.94 0.94 0.78 0.56 0.40 0.35 0.41 0.51 0.55 0.48 0.35 0.23 0.21 0.30 0.48 0.64 0.70 0.63 0.48 0.36 0.38 0.55 0.81 1.03 1.07 0.88 0.53 0.17 0.00 0.02 0.28 0.61 0.84 0.87 0.69 0.44 60.0 + 62.5 0.71 0.53 0.48 0.54 0.62 0.62 0.49 0.27 0.08 0.04 0.20 0.49 0.77 0.90 0.81 0.55 0.24 0.04 0.01 0.12 0.26 0.33 0.27 0.14 0.04 0.06 0.21 0.45 0.65 0.71 0.60 0.40 0.20 0.13 0.21 0.41 0.63 0.77 0.79 0.69 0.56 0.47 0.46 0.50 0.55 0.55 0.48 0.39 0.33 0.36 0.48 0.65 0.77 0.79 0.68 0.51 0.37 0.36 0.50 0.72 0.91 0.96 0.81 0.52 0.23 0.08 0.16 0.42 0.75 0.99 1.05 0.92 0.71 0.53 0.48 0.54 0.62 0.62 0.49 0.27 0.08 0.04 0.20 0.49 0.77 0.90 0.81 0.55 0.24 0.04 0.01 0.12 0.26 0.33 0.27 0.14 0.04 0.06 0.21 0.45 0.65 0.71 0.60 0.40 0.20 0.13 0.21 0.41 0.63 0.77 0.79 0.69 0.56 0.47 0.46 0.50 0.55 0.55 0.48 0.39 0.33 0.36 0.48 0.65 0.77 0.79 0.68 0.51 0.37 0.36 0.50 0.72 0.91 0.96 0.81 0.52 0.23 0.08 0.16 0.42 0.75 0.99 1.05 0.92 0.71 62.5 + 65.0 0.76 0.62 0.57 0.62 0.69 0.69 0.58 0.38 0.20 0.14 0.23 0.44 0.64 0.72 0.63 0.41 0.17 0.03 0.03 0.14 0.27 0.33 0.29 0.18 0.11 0.13 0.26 0.46 0.62 0.67 0.59 0.43 0.28 0.21 0.25 0.37 0.50 0.58 0.59 0.54 0.47 0.44 0.44 0.46 0.46 0.41 0.33 0.24 0.22 0.28 0.42 0.58 0.68 0.66 0.53 0.36 0.22 0.21 0.34 0.55 0.74 0.81 0.72 0.51 0.29 0.18 0.25 0.47 0.75 0.96 1.02 0.93 0.76 0.62 0.57 0.62 0.69 0.69 0.58 0.38 0.20 0.14 0.23 0.44 0.64 0.72 0.63 0.41 0.17 0.03 0.03 0.14 0.27 0.33 0.29 0.18 0.11 0.13 0.26 0.46 0.62 0.67 0.59 0.43 0.28 0.21 0.25 0.37 0.50 0.58 0.59 0.54 0.47 0.44 0.44 0.46 0.46 0.41 0.33 0.24 0.22 0.28 0.42 0.58 0.68 0.66 0.53 0.36 0.22 0.21 0.34 0.55 0.74 0.81 0.72 0.51 0.29 0.18 0.25 0.47 0.75 0.96 1.02 0.93 0.76 65.0 + 67.5 0.62 0.52 0.51 0.58 0.67 0.70 0.63 0.49 0.33 0.26 0.31 0.44 0.57 0.62 0.54 0.37 0.20 0.13 0.18 0.32 0.46 0.52 0.49 0.39 0.31 0.31 0.40 0.54 0.65 0.67 0.59 0.46 0.34 0.28 0.29 0.35 0.41 0.42 0.38 0.32 0.28 0.28 0.30 0.31 0.28 0.19 0.07 0.00 0.00 0.04 0.19 0.35 0.44 0.41 0.28 0.12 0.01 0.02 0.16 0.37 0.57 0.67 0.63 0.48 0.32 0.23 0.26 0.42 0.62 0.77 0.82 0.75 0.62 0.52 0.51 0.58 0.67 0.70 0.63 0.49 0.33 0.26 0.31 0.44 0.57 0.62 0.54 0.37 0.20 0.13 0.18 0.32 0.46 0.52 0.49 0.39 0.31 0.31 0.40 0.54 0.65 0.67 0.59 0.46 0.34 0.28 0.29 0.35 0.41 0.42 0.38 0.32 0.28 0.28 0.30 0.31 0.28 0.19 0.07 0.00 0.00 0.04 0.19 0.35 0.44 0.41 0.28 0.12 0.01 0.02 0.16 0.37 0.57 0.67 0.63 0.48 0.32 0.23 0.26 0.42 0.62 0.77 0.82 0.75 0.62 67.5 + 70.0 0.45 0.40 0.43 0.53 0.65 0.73 0.71 0.62 0.50 0.43 0.45 0.55 0.65 0.70 0.65 0.55 0.47 0.48 0.62 0.83 1.02 1.12 1.09 0.98 0.86 0.81 0.83 0.89 0.92 0.89 0.77 0.62 0.50 0.44 0.44 0.47 0.47 0.40 0.30 0.19 0.12 0.12 0.15 0.17 0.14 0.03 0.00 0.00 0.00 0.00 0.02 0.18 0.27 0.23 0.11 0.00 0.00 0.00 0.07 0.29 0.48 0.58 0.56 0.45 0.31 0.22 0.23 0.31 0.44 0.54 0.57 0.53 0.45 0.40 0.43 0.53 0.65 0.73 0.71 0.62 0.50 0.43 0.45 0.55 0.65 0.70 0.65 0.55 0.47 0.48 0.62 0.83 1.02 1.12 1.09 0.98 0.86 0.81 0.83 0.89 0.92 0.89 0.77 0.62 0.50 0.44 0.44 0.47 0.47 0.40 0.30 0.19 0.12 0.12 0.15 0.17 0.14 0.03 0.00 0.00 0.00 0.00 0.02 0.18 0.27 0.23 0.11 0.00 0.00 0.00 0.07 0.29 0.48 0.58 0.56 0.45 0.31 0.22 0.23 0.31 0.44 0.54 0.57 0.53 0.45 70.0 + 72.5 0.39 0.39 0.46 0.60 0.75 0.87 0.89 0.82 0.72 0.66 0.68 0.79 0.91 0.99 1.00 0.98 1.00 1.14 1.42 1.76 2.05 2.21 2.19 2.04 1.85 1.70 1.62 1.59 1.53 1.40 1.22 1.02 0.87 0.81 0.82 0.84 0.81 0.68 0.49 0.30 0.17 0.15 0.20 0.25 0.24 0.15 0.00 0.00 0.00 0.00 0.15 0.32 0.40 0.34 0.19 0.03 0.00 0.00 0.15 0.35 0.51 0.58 0.54 0.42 0.29 0.21 0.19 0.25 0.34 0.41 0.44 0.43 0.39 0.39 0.46 0.60 0.75 0.87 0.89 0.82 0.72 0.66 0.68 0.79 0.91 0.99 1.00 0.98 1.00 1.14 1.42 1.76 2.05 2.21 2.19 2.04 1.85 1.70 1.62 1.59 1.53 1.40 1.22 1.02 0.87 0.81 0.82 0.84 0.81 0.68 0.49 0.30 0.17 0.15 0.20 0.25 0.24 0.15 0.00 0.00 0.00 0.00 0.15 0.32 0.40 0.34 0.19 0.03 0.00 0.00 0.15 0.35 0.51 0.58 0.54 0.42 0.29 0.21 0.19 0.25 0.34 0.41 0.44 0.43 0.39 72.5 + 75.0 0.51 0.55 0.66 0.83 1.00 1.12 1.14 1.07 0.97 0.92 0.97 1.12 1.31 1.45 1.52 1.57 1.69 1.97 2.41 2.92 3.37 3.61 3.60 3.39 3.10 2.83 2.64 2.50 2.34 2.12 1.85 1.58 1.40 1.35 1.40 1.45 1.42 1.25 0.98 0.69 0.50 0.46 0.53 0.64 0.67 0.60 0.46 0.35 0.34 0.47 0.68 0.85 0.89 0.76 0.53 0.31 0.19 0.22 0.36 0.53 0.63 0.63 0.53 0.38 0.26 0.19 0.21 0.28 0.37 0.45 0.49 0.50 0.51 0.55 0.66 0.83 1.00 1.12 1.14 1.07 0.97 0.92 0.97 1.12 1.31 1.45 1.52 1.57 1.69 1.97 2.41 2.92 3.37 3.61 3.60 3.39 3.10 2.83 2.64 2.50 2.34 2.12 1.85 1.58 1.40 1.35 1.40 1.45 1.42 1.25 0.98 0.69 0.50 0.46 0.53 0.64 0.67 0.60 0.46 0.35 0.34 0.47 0.68 0.85 0.89 0.76 0.53 0.31 0.19 0.22 0.36 0.53 0.63 0.63 0.53 0.38 0.26 0.19 0.21 0.28 0.37 0.45 0.49 0.50 0.51 75.0 + 77.5 0.69 0.77 0.92 1.10 1.28 1.39 1.38 1.28 1.16 1.13 1.23 1.44 1.69 1.89 2.00 2.08 2.27 2.66 3.26 3.96 4.57 4.91 4.91 4.62 4.21 3.81 3.51 3.28 3.04 2.74 2.39 2.07 1.87 1.85 1.96 2.08 2.09 1.90 1.57 1.22 0.98 0.93 1.04 1.20 1.29 1.26 1.14 1.04 1.07 1.23 1.46 1.61 1.57 1.32 0.95 0.61 0.42 0.43 0.56 0.69 0.74 0.65 0.48 0.30 0.19 0.18 0.25 0.37 0.49 0.58 0.63 0.66 0.69 0.77 0.92 1.10 1.28 1.39 1.38 1.28 1.16 1.13 1.23 1.44 1.69 1.89 2.00 2.08 2.27 2.66 3.26 3.96 4.57 4.91 4.91 4.62 4.21 3.81 3.51 3.28 3.04 2.74 2.39 2.07 1.87 1.85 1.96 2.08 2.09 1.90 1.57 1.22 0.98 0.93 1.04 1.20 1.29 1.26 1.14 1.04 1.07 1.23 1.46 1.61 1.57 1.32 0.95 0.61 0.42 0.43 0.56 0.69 0.74 0.65 0.48 0.30 0.19 0.18 0.25 0.37 0.49 0.58 0.63 0.66 0.69 77.5 + 80.0 0.77 0.87 1.05 1.26 1.44 1.53 1.48 1.34 1.20 1.17 1.31 1.59 1.89 2.10 2.20 2.25 2.44 2.89 3.62 4.48 5.23 5.66 5.65 5.29 4.77 4.26 3.87 3.58 3.30 2.95 2.55 2.20 2.00 2.03 2.22 2.43 2.49 2.33 1.97 1.58 1.32 1.28 1.44 1.66 1.80 1.81 1.72 1.65 1.73 1.94 2.19 2.30 2.15 1.73 1.18 0.71 0.45 0.44 0.58 0.72 0.73 0.58 0.35 0.15 0.07 0.12 0.27 0.45 0.60 0.69 0.72 0.73 0.77 0.87 1.05 1.26 1.44 1.53 1.48 1.34 1.20 1.17 1.31 1.59 1.89 2.10 2.20 2.25 2.44 2.89 3.62 4.48 5.23 5.66 5.65 5.29 4.77 4.26 3.87 3.58 3.30 2.95 2.55 2.20 2.00 2.03 2.22 2.43 2.49 2.33 1.97 1.58 1.32 1.28 1.44 1.66 1.80 1.81 1.72 1.65 1.73 1.94 2.19 2.30 2.15 1.73 1.18 0.71 0.45 0.44 0.58 0.72 0.73 0.58 0.35 0.15 0.07 0.12 0.27 0.45 0.60 0.69 0.72 0.73 0.77 80.0 + 82.5 0.63 0.74 0.94 1.18 1.37 1.44 1.35 1.16 1.00 0.98 1.16 1.47 1.79 1.97 1.98 1.94 2.06 2.51 3.31 4.28 5.14 5.63 5.61 5.19 4.58 4.00 3.57 3.26 2.98 2.62 2.21 1.85 1.67 1.75 2.02 2.32 2.44 2.30 1.94 1.54 1.29 1.28 1.49 1.77 1.95 1.99 1.93 1.92 2.07 2.35 2.63 2.70 2.42 1.83 1.11 0.50 0.20 0.21 0.40 0.57 0.58 0.41 0.15 0.00 0.00 0.01 0.24 0.46 0.61 0.66 0.64 0.61 0.63 0.74 0.94 1.18 1.37 1.44 1.35 1.16 1.00 0.98 1.16 1.47 1.79 1.97 1.98 1.94 2.06 2.51 3.31 4.28 5.14 5.63 5.61 5.19 4.58 4.00 3.57 3.26 2.98 2.62 2.21 1.85 1.67 1.75 2.02 2.32 2.44 2.30 1.94 1.54 1.29 1.28 1.49 1.77 1.95 1.99 1.93 1.92 2.07 2.35 2.63 2.70 2.42 1.83 1.11 0.50 0.20 0.21 0.40 0.57 0.58 0.41 0.15 0.00 0.00 0.01 0.24 0.46 0.61 0.66 0.64 0.61 0.63 82.5 + 85.0 0.30 0.41 0.63 0.90 1.10 1.15 1.02 0.80 0.61 0.59 0.79 1.12 1.41 1.51 1.41 1.24 1.26 1.66 2.48 3.51 4.43 4.94 4.92 4.46 3.81 3.21 2.80 2.53 2.27 1.93 1.52 1.17 1.02 1.14 1.48 1.83 1.99 1.86 1.51 1.12 0.89 0.92 1.18 1.50 1.72 1.79 1.78 1.84 2.08 2.46 2.78 2.82 2.43 1.69 0.82 0.12 0.00 0.00 0.12 0.36 0.39 0.21 0.00 0.00 0.00 0.00 0.17 0.40 0.52 0.50 0.40 0.31 0.30 0.41 0.63 0.90 1.10 1.15 1.02 0.80 0.61 0.59 0.79 1.12 1.41 1.51 1.41 1.24 1.26 1.66 2.48 3.51 4.43 4.94 4.92 4.46 3.81 3.21 2.80 2.53 2.27 1.93 1.52 1.17 1.02 1.14 1.48 1.83 1.99 1.86 1.51 1.12 0.89 0.92 1.18 1.50 1.72 1.79 1.78 1.84 2.08 2.46 2.78 2.82 2.43 1.69 0.82 0.12 0.00 0.00 0.12 0.36 0.39 0.21 0.00 0.00 0.00 0.00 0.17 0.40 0.52 0.50 0.40 0.31 0.30 85.0 + 87.5 0.00 0.06 0.29 0.56 0.75 0.78 0.63 0.37 0.17 0.15 0.34 0.66 0.90 0.92 0.71 0.43 0.35 0.71 1.51 2.55 3.50 4.01 3.99 3.53 2.89 2.34 1.98 1.77 1.57 1.26 0.86 0.52 0.40 0.56 0.93 1.30 1.47 1.34 0.98 0.59 0.39 0.46 0.76 1.11 1.36 1.46 1.52 1.68 2.03 2.51 2.88 2.91 2.44 1.59 0.62 0.00 0.00 0.00 0.00 0.27 0.32 0.14 0.00 0.00 0.00 0.00 0.16 0.38 0.44 0.35 0.17 0.01 0.00 0.06 0.29 0.56 0.75 0.78 0.63 0.37 0.17 0.15 0.34 0.66 0.90 0.92 0.71 0.43 0.35 0.71 1.51 2.55 3.50 4.01 3.99 3.53 2.89 2.34 1.98 1.77 1.57 1.26 0.86 0.52 0.40 0.56 0.93 1.30 1.47 1.34 0.98 0.59 0.39 0.46 0.76 1.11 1.36 1.46 1.52 1.68 2.03 2.51 2.88 2.91 2.44 1.59 0.62 0.00 0.00 0.00 0.00 0.27 0.32 0.14 0.00 0.00 0.00 0.00 0.16 0.38 0.44 0.35 0.17 0.01 0.00 87.5 + 90.0 0.00 0.00 0.11 0.35 0.51 0.50 0.31 0.03 0.00 0.00 0.00 0.29 0.49 0.46 0.18 0.00 0.00 0.04 0.82 1.84 2.76 3.27 3.24 2.82 2.25 1.78 1.51 1.38 1.23 0.95 0.58 0.26 0.15 0.34 0.72 1.09 1.24 1.09 0.72 0.34 0.15 0.26 0.58 0.95 1.23 1.38 1.51 1.78 2.25 2.82 3.24 3.27 2.76 1.84 0.82 0.04 0.00 0.00 0.18 0.46 0.49 0.29 0.00 0.00 0.00 0.03 0.31 0.50 0.51 0.35 0.11 0.00 0.00 0.00 0.11 0.35 0.51 0.50 0.31 0.03 0.00 0.00 0.00 0.29 0.49 0.46 0.18 0.00 0.00 0.04 0.82 1.84 2.76 3.27 3.24 2.82 2.25 1.78 1.51 1.38 1.23 0.95 0.58 0.26 0.15 0.34 0.72 1.09 1.24 1.09 0.72 0.34 0.15 0.26 0.58 0.95 1.23 1.38 1.51 1.78 2.25 2.82 3.24 3.27 2.76 1.84 0.82 0.04 0.00 0.00 0.18 0.46 0.49 0.29 0.00 0.00 0.00 0.03 0.31 0.50 0.51 0.35 0.11 0.00 0.00 90.0 + + 42.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.22 ) PHI2 = 43. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.0 + 2.5 0.00 0.00 0.00 0.00 0.10 0.28 0.37 0.39 0.38 0.40 0.49 0.64 0.84 1.05 1.27 1.51 1.76 2.00 2.18 2.27 2.22 2.07 1.85 1.61 1.38 1.15 0.93 0.73 0.56 0.45 0.40 0.39 0.35 0.24 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.24 0.35 0.39 0.40 0.45 0.56 0.73 0.93 1.15 1.38 1.62 1.86 2.08 2.23 2.27 2.19 2.01 1.76 1.51 1.27 1.05 0.84 0.64 0.49 0.40 0.37 0.38 0.37 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.10 0.28 0.37 0.39 0.38 0.40 0.49 0.64 0.84 1.05 1.27 1.51 1.76 2.00 2.18 2.27 2.22 2.07 1.85 1.61 1.38 1.15 0.93 0.73 0.56 0.45 0.40 0.39 0.35 0.24 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.24 0.35 0.39 0.40 0.45 0.56 0.73 0.93 1.15 1.38 1.62 1.86 2.08 2.23 2.27 2.19 2.01 1.76 1.51 1.27 1.05 0.84 0.64 0.49 0.40 0.37 0.38 0.37 0.28 0.09 0.00 0.00 2.5 + 5.0 0.00 0.00 0.00 0.12 0.31 0.44 0.49 0.45 0.38 0.35 0.39 0.50 0.67 0.88 1.12 1.39 1.68 1.97 2.20 2.34 2.35 2.23 2.02 1.77 1.51 1.25 1.02 0.81 0.65 0.55 0.50 0.49 0.45 0.35 0.17 0.00 0.00 0.00 0.00 0.00 0.17 0.35 0.44 0.48 0.49 0.54 0.65 0.82 1.03 1.27 1.52 1.78 2.04 2.25 2.38 2.37 2.23 1.99 1.69 1.40 1.13 0.89 0.68 0.50 0.38 0.34 0.36 0.43 0.47 0.43 0.31 0.12 0.00 0.00 0.00 0.12 0.31 0.44 0.49 0.45 0.38 0.35 0.39 0.50 0.67 0.88 1.12 1.39 1.68 1.97 2.20 2.34 2.35 2.23 2.02 1.77 1.51 1.25 1.02 0.81 0.65 0.55 0.50 0.49 0.45 0.35 0.17 0.00 0.00 0.00 0.00 0.00 0.17 0.35 0.44 0.48 0.49 0.54 0.65 0.82 1.03 1.27 1.52 1.78 2.04 2.25 2.38 2.37 2.23 1.99 1.69 1.40 1.13 0.89 0.68 0.50 0.38 0.34 0.36 0.43 0.47 0.43 0.31 0.12 0.00 5.0 + 7.5 0.37 0.32 0.37 0.48 0.62 0.70 0.69 0.60 0.48 0.38 0.36 0.42 0.55 0.75 0.99 1.27 1.59 1.92 2.22 2.43 2.50 2.44 2.25 2.00 1.72 1.46 1.22 1.03 0.89 0.81 0.78 0.78 0.75 0.66 0.52 0.34 0.20 0.15 0.21 0.36 0.53 0.67 0.74 0.77 0.78 0.82 0.91 1.06 1.26 1.49 1.76 2.04 2.30 2.49 2.56 2.49 2.27 1.96 1.61 1.28 0.99 0.75 0.55 0.41 0.34 0.35 0.44 0.56 0.66 0.68 0.61 0.49 0.37 0.32 0.37 0.48 0.62 0.70 0.69 0.60 0.48 0.38 0.36 0.42 0.55 0.75 0.99 1.27 1.59 1.92 2.22 2.43 2.50 2.44 2.25 2.00 1.72 1.46 1.22 1.03 0.89 0.81 0.78 0.78 0.75 0.66 0.52 0.34 0.20 0.15 0.21 0.36 0.53 0.67 0.74 0.77 0.78 0.82 0.91 1.06 1.26 1.49 1.76 2.04 2.30 2.49 2.56 2.49 2.27 1.96 1.61 1.28 0.99 0.75 0.55 0.41 0.34 0.35 0.44 0.56 0.66 0.68 0.61 0.49 0.37 7.5 + 10.0 0.80 0.76 0.79 0.86 0.95 0.99 0.96 0.85 0.70 0.56 0.48 0.49 0.57 0.73 0.95 1.21 1.53 1.87 2.21 2.47 2.62 2.62 2.49 2.26 2.00 1.74 1.52 1.37 1.28 1.24 1.25 1.28 1.27 1.21 1.10 0.97 0.87 0.84 0.89 1.01 1.15 1.24 1.28 1.28 1.27 1.28 1.34 1.45 1.61 1.82 2.07 2.34 2.57 2.71 2.71 2.56 2.27 1.92 1.55 1.21 0.94 0.72 0.57 0.47 0.45 0.51 0.64 0.79 0.91 0.97 0.96 0.88 0.80 0.76 0.79 0.86 0.95 0.99 0.96 0.85 0.70 0.56 0.48 0.49 0.57 0.73 0.95 1.21 1.53 1.87 2.21 2.47 2.62 2.62 2.49 2.26 2.00 1.74 1.52 1.37 1.28 1.24 1.25 1.28 1.27 1.21 1.10 0.97 0.87 0.84 0.89 1.01 1.15 1.24 1.28 1.28 1.27 1.28 1.34 1.45 1.61 1.82 2.07 2.34 2.57 2.71 2.71 2.56 2.27 1.92 1.55 1.21 0.94 0.72 0.57 0.47 0.45 0.51 0.64 0.79 0.91 0.97 0.96 0.88 0.80 10.0 + 12.5 1.15 1.12 1.13 1.17 1.23 1.25 1.22 1.12 0.98 0.84 0.74 0.70 0.74 0.84 1.00 1.21 1.48 1.79 2.13 2.43 2.64 2.72 2.66 2.48 2.25 2.03 1.85 1.74 1.70 1.73 1.78 1.85 1.88 1.86 1.79 1.70 1.64 1.63 1.68 1.77 1.87 1.92 1.92 1.89 1.85 1.82 1.83 1.89 2.00 2.17 2.38 2.59 2.76 2.83 2.75 2.52 2.20 1.83 1.48 1.19 0.97 0.81 0.72 0.67 0.70 0.78 0.91 1.05 1.17 1.24 1.24 1.20 1.15 1.12 1.13 1.17 1.23 1.25 1.22 1.12 0.98 0.84 0.74 0.70 0.74 0.84 1.00 1.21 1.48 1.79 2.13 2.43 2.64 2.72 2.66 2.48 2.25 2.03 1.85 1.74 1.70 1.73 1.78 1.85 1.88 1.86 1.79 1.70 1.64 1.63 1.68 1.77 1.87 1.92 1.92 1.89 1.85 1.82 1.83 1.89 2.00 2.17 2.38 2.59 2.76 2.83 2.75 2.52 2.20 1.83 1.48 1.19 0.97 0.81 0.72 0.67 0.70 0.78 0.91 1.05 1.17 1.24 1.24 1.20 1.15 12.5 + 15.0 1.36 1.34 1.32 1.33 1.35 1.37 1.37 1.31 1.22 1.10 1.00 0.94 0.94 0.98 1.07 1.20 1.39 1.65 1.96 2.27 2.54 2.69 2.70 2.59 2.41 2.22 2.07 1.99 1.99 2.06 2.16 2.26 2.34 2.36 2.34 2.29 2.26 2.27 2.32 2.39 2.44 2.45 2.42 2.34 2.26 2.20 2.18 2.20 2.28 2.41 2.57 2.73 2.82 2.79 2.63 2.35 2.00 1.66 1.37 1.15 1.01 0.93 0.90 0.90 0.95 1.04 1.14 1.24 1.32 1.37 1.39 1.38 1.36 1.34 1.32 1.33 1.35 1.37 1.37 1.31 1.22 1.10 1.00 0.94 0.94 0.98 1.07 1.20 1.39 1.65 1.96 2.27 2.54 2.69 2.70 2.59 2.41 2.22 2.07 1.99 1.99 2.06 2.16 2.26 2.34 2.36 2.34 2.29 2.26 2.27 2.32 2.39 2.44 2.45 2.42 2.34 2.26 2.20 2.18 2.20 2.28 2.41 2.57 2.73 2.82 2.79 2.63 2.35 2.00 1.66 1.37 1.15 1.01 0.93 0.90 0.90 0.95 1.04 1.14 1.24 1.32 1.37 1.39 1.38 1.36 15.0 + 17.5 1.39 1.37 1.34 1.31 1.29 1.29 1.31 1.30 1.27 1.20 1.12 1.06 1.03 1.03 1.06 1.12 1.24 1.43 1.70 2.02 2.31 2.52 2.61 2.56 2.41 2.24 2.10 2.02 2.03 2.11 2.23 2.37 2.48 2.55 2.58 2.58 2.58 2.60 2.64 2.69 2.70 2.67 2.59 2.48 2.37 2.29 2.25 2.27 2.35 2.46 2.59 2.68 2.70 2.59 2.36 2.04 1.69 1.39 1.17 1.04 0.97 0.96 0.97 1.00 1.06 1.13 1.19 1.24 1.28 1.31 1.35 1.38 1.39 1.37 1.34 1.31 1.29 1.29 1.31 1.30 1.27 1.20 1.12 1.06 1.03 1.03 1.06 1.12 1.24 1.43 1.70 2.02 2.31 2.52 2.61 2.56 2.41 2.24 2.10 2.02 2.03 2.11 2.23 2.37 2.48 2.55 2.58 2.58 2.58 2.60 2.64 2.69 2.70 2.67 2.59 2.48 2.37 2.29 2.25 2.27 2.35 2.46 2.59 2.68 2.70 2.59 2.36 2.04 1.69 1.39 1.17 1.04 0.97 0.96 0.97 1.00 1.06 1.13 1.19 1.24 1.28 1.31 1.35 1.38 1.39 17.5 + 20.0 1.24 1.24 1.19 1.10 1.03 1.01 1.02 1.06 1.07 1.05 1.00 0.95 0.92 0.90 0.90 0.93 1.01 1.15 1.39 1.69 2.01 2.26 2.39 2.39 2.28 2.11 1.96 1.86 1.85 1.91 2.04 2.20 2.35 2.48 2.56 2.61 2.64 2.68 2.71 2.73 2.70 2.61 2.48 2.33 2.20 2.11 2.09 2.12 2.21 2.32 2.43 2.48 2.42 2.25 1.97 1.63 1.31 1.05 0.89 0.81 0.80 0.81 0.85 0.89 0.94 0.98 1.00 1.01 1.02 1.05 1.11 1.19 1.24 1.24 1.19 1.10 1.03 1.01 1.02 1.06 1.07 1.05 1.00 0.95 0.92 0.90 0.90 0.93 1.01 1.15 1.39 1.69 2.01 2.26 2.39 2.39 2.28 2.11 1.96 1.86 1.85 1.91 2.04 2.20 2.35 2.48 2.56 2.61 2.64 2.68 2.71 2.73 2.70 2.61 2.48 2.33 2.20 2.11 2.09 2.12 2.21 2.32 2.43 2.48 2.42 2.25 1.97 1.63 1.31 1.05 0.89 0.81 0.80 0.81 0.85 0.89 0.94 0.98 1.00 1.01 1.02 1.05 1.11 1.19 1.24 20.0 + 22.5 0.97 0.98 0.90 0.77 0.64 0.58 0.59 0.64 0.69 0.71 0.69 0.66 0.64 0.63 0.64 0.67 0.73 0.86 1.07 1.35 1.66 1.93 2.09 2.13 2.05 1.91 1.76 1.65 1.61 1.66 1.79 1.97 2.17 2.36 2.51 2.62 2.69 2.74 2.77 2.75 2.67 2.53 2.34 2.15 1.99 1.89 1.86 1.90 1.99 2.09 2.16 2.16 2.05 1.83 1.53 1.20 0.90 0.69 0.57 0.52 0.51 0.52 0.55 0.59 0.62 0.64 0.63 0.60 0.59 0.64 0.74 0.87 0.97 0.98 0.90 0.77 0.64 0.58 0.59 0.64 0.69 0.71 0.69 0.66 0.64 0.63 0.64 0.67 0.73 0.86 1.07 1.35 1.66 1.93 2.09 2.13 2.05 1.91 1.76 1.65 1.61 1.66 1.79 1.97 2.17 2.36 2.51 2.62 2.69 2.74 2.77 2.75 2.67 2.53 2.34 2.15 1.99 1.89 1.86 1.90 1.99 2.09 2.16 2.16 2.05 1.83 1.53 1.20 0.90 0.69 0.57 0.52 0.51 0.52 0.55 0.59 0.62 0.64 0.63 0.60 0.59 0.64 0.74 0.87 0.97 22.5 + 25.0 0.62 0.65 0.56 0.39 0.22 0.12 0.12 0.19 0.26 0.31 0.32 0.30 0.29 0.31 0.34 0.39 0.47 0.59 0.77 1.02 1.30 1.56 1.74 1.82 1.79 1.70 1.60 1.52 1.51 1.57 1.72 1.93 2.17 2.41 2.63 2.81 2.93 3.01 3.02 2.97 2.85 2.66 2.43 2.19 1.99 1.85 1.78 1.78 1.82 1.87 1.87 1.81 1.65 1.39 1.09 0.79 0.54 0.36 0.27 0.22 0.19 0.19 0.20 0.22 0.25 0.25 0.21 0.16 0.14 0.18 0.31 0.48 0.62 0.65 0.56 0.39 0.22 0.12 0.12 0.19 0.26 0.31 0.32 0.30 0.29 0.31 0.34 0.39 0.47 0.59 0.77 1.02 1.30 1.56 1.74 1.82 1.79 1.70 1.60 1.52 1.51 1.57 1.72 1.93 2.17 2.41 2.63 2.81 2.93 3.01 3.02 2.97 2.85 2.66 2.43 2.19 1.99 1.85 1.78 1.78 1.82 1.87 1.87 1.81 1.65 1.39 1.09 0.79 0.54 0.36 0.27 0.22 0.19 0.19 0.20 0.22 0.25 0.25 0.21 0.16 0.14 0.18 0.31 0.48 0.62 25.0 + 27.5 0.27 0.32 0.22 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.04 0.09 0.17 0.26 0.36 0.51 0.71 0.95 1.18 1.37 1.49 1.54 1.54 1.54 1.55 1.60 1.72 1.90 2.13 2.40 2.69 2.97 3.20 3.37 3.47 3.48 3.42 3.27 3.05 2.79 2.52 2.27 2.07 1.92 1.83 1.77 1.71 1.62 1.46 1.24 0.97 0.68 0.43 0.23 0.11 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.27 0.32 0.22 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.04 0.09 0.17 0.26 0.36 0.51 0.71 0.95 1.18 1.37 1.49 1.54 1.54 1.54 1.55 1.60 1.72 1.90 2.13 2.40 2.69 2.97 3.20 3.37 3.47 3.48 3.42 3.27 3.05 2.79 2.52 2.27 2.07 1.92 1.83 1.77 1.71 1.62 1.46 1.24 0.97 0.68 0.43 0.23 0.11 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.27 27.5 + 30.0 0.02 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.10 0.19 0.30 0.44 0.62 0.82 1.01 1.17 1.30 1.41 1.52 1.65 1.80 1.98 2.19 2.43 2.71 3.01 3.30 3.56 3.76 3.88 3.91 3.84 3.69 3.48 3.22 2.95 2.67 2.41 2.17 1.97 1.78 1.59 1.39 1.16 0.89 0.61 0.35 0.15 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.10 0.19 0.30 0.44 0.62 0.82 1.01 1.17 1.30 1.41 1.52 1.65 1.80 1.98 2.19 2.43 2.71 3.01 3.30 3.56 3.76 3.88 3.91 3.84 3.69 3.48 3.22 2.95 2.67 2.41 2.17 1.97 1.78 1.59 1.39 1.16 0.89 0.61 0.35 0.15 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 30.0 + 32.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.13 0.24 0.38 0.54 0.72 0.90 1.07 1.26 1.47 1.69 1.92 2.15 2.36 2.58 2.81 3.06 3.33 3.59 3.79 3.92 3.96 3.90 3.78 3.61 3.40 3.17 2.90 2.62 2.32 2.03 1.74 1.47 1.20 0.92 0.63 0.36 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.13 0.24 0.38 0.54 0.72 0.90 1.07 1.26 1.47 1.69 1.92 2.15 2.36 2.58 2.81 3.06 3.33 3.59 3.79 3.92 3.96 3.90 3.78 3.61 3.40 3.17 2.90 2.62 2.32 2.03 1.74 1.47 1.20 0.92 0.63 0.36 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 32.5 + 35.0 0.06 0.11 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.15 0.28 0.43 0.58 0.74 0.90 1.10 1.33 1.59 1.84 2.06 2.23 2.37 2.52 2.69 2.90 3.11 3.30 3.42 3.46 3.42 3.34 3.23 3.10 2.95 2.75 2.50 2.20 1.89 1.58 1.30 1.04 0.78 0.52 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.08 0.04 0.00 0.00 0.00 0.00 0.00 0.06 0.11 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.15 0.28 0.43 0.58 0.74 0.90 1.10 1.33 1.59 1.84 2.06 2.23 2.37 2.52 2.69 2.90 3.11 3.30 3.42 3.46 3.42 3.34 3.23 3.10 2.95 2.75 2.50 2.20 1.89 1.58 1.30 1.04 0.78 0.52 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.08 0.04 0.00 0.00 0.00 0.00 0.00 0.06 35.0 + 37.5 0.34 0.38 0.35 0.27 0.17 0.10 0.10 0.13 0.16 0.17 0.13 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.06 0.20 0.36 0.52 0.64 0.73 0.82 0.95 1.13 1.35 1.56 1.72 1.81 1.84 1.87 1.95 2.09 2.26 2.42 2.52 2.54 2.50 2.44 2.39 2.36 2.31 2.22 2.04 1.81 1.55 1.31 1.11 0.93 0.76 0.57 0.36 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.13 0.24 0.30 0.29 0.22 0.15 0.11 0.15 0.24 0.34 0.38 0.35 0.27 0.17 0.10 0.10 0.13 0.16 0.17 0.13 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.06 0.20 0.36 0.52 0.64 0.73 0.82 0.95 1.13 1.35 1.56 1.72 1.81 1.84 1.87 1.95 2.09 2.26 2.42 2.52 2.54 2.50 2.44 2.39 2.36 2.31 2.22 2.04 1.81 1.55 1.31 1.11 0.93 0.76 0.57 0.36 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.13 0.24 0.30 0.29 0.22 0.15 0.11 0.15 0.24 0.34 37.5 + 40.0 0.64 0.69 0.69 0.63 0.55 0.47 0.41 0.37 0.34 0.32 0.29 0.25 0.20 0.13 0.05 0.00 0.00 0.01 0.15 0.36 0.58 0.75 0.83 0.83 0.81 0.83 0.92 1.06 1.20 1.27 1.26 1.18 1.11 1.12 1.21 1.37 1.51 1.58 1.56 1.49 1.42 1.40 1.44 1.50 1.51 1.44 1.29 1.13 0.99 0.91 0.88 0.84 0.74 0.57 0.35 0.12 0.00 0.00 0.00 0.00 0.04 0.13 0.23 0.33 0.42 0.48 0.50 0.49 0.46 0.46 0.49 0.57 0.64 0.69 0.69 0.63 0.55 0.47 0.41 0.37 0.34 0.32 0.29 0.25 0.20 0.13 0.05 0.00 0.00 0.01 0.15 0.36 0.58 0.75 0.83 0.83 0.81 0.83 0.92 1.06 1.20 1.27 1.26 1.18 1.11 1.12 1.21 1.37 1.51 1.58 1.56 1.49 1.42 1.40 1.44 1.50 1.51 1.44 1.29 1.13 0.99 0.91 0.88 0.84 0.74 0.57 0.35 0.12 0.00 0.00 0.00 0.00 0.04 0.13 0.23 0.33 0.42 0.48 0.50 0.49 0.46 0.46 0.49 0.57 0.64 40.0 + 42.5 0.81 0.86 0.89 0.88 0.83 0.74 0.64 0.53 0.46 0.44 0.45 0.46 0.44 0.36 0.23 0.08 0.00 0.05 0.24 0.52 0.81 0.99 1.03 0.94 0.81 0.72 0.72 0.80 0.88 0.88 0.78 0.62 0.49 0.47 0.58 0.77 0.92 0.97 0.89 0.75 0.63 0.60 0.67 0.80 0.89 0.90 0.82 0.72 0.67 0.71 0.82 0.91 0.91 0.78 0.54 0.27 0.06 0.00 0.01 0.13 0.27 0.39 0.47 0.51 0.55 0.58 0.62 0.65 0.68 0.70 0.73 0.76 0.81 0.86 0.89 0.88 0.83 0.74 0.64 0.53 0.46 0.44 0.45 0.46 0.44 0.36 0.23 0.08 0.00 0.05 0.24 0.52 0.81 0.99 1.03 0.94 0.81 0.72 0.72 0.80 0.88 0.88 0.78 0.62 0.49 0.47 0.58 0.77 0.92 0.97 0.89 0.75 0.63 0.60 0.67 0.80 0.89 0.90 0.82 0.72 0.67 0.71 0.82 0.91 0.91 0.78 0.54 0.27 0.06 0.00 0.01 0.13 0.27 0.39 0.47 0.51 0.55 0.58 0.62 0.65 0.68 0.70 0.73 0.76 0.81 42.5 + 45.0 0.72 0.76 0.83 0.90 0.91 0.84 0.71 0.57 0.49 0.49 0.58 0.68 0.72 0.64 0.44 0.20 0.04 0.05 0.26 0.58 0.90 1.09 1.08 0.91 0.70 0.55 0.53 0.59 0.65 0.62 0.47 0.27 0.13 0.14 0.32 0.58 0.78 0.82 0.68 0.44 0.23 0.14 0.21 0.37 0.51 0.55 0.48 0.39 0.37 0.47 0.67 0.86 0.95 0.86 0.61 0.31 0.09 0.02 0.12 0.33 0.53 0.66 0.69 0.64 0.58 0.56 0.60 0.67 0.73 0.76 0.75 0.72 0.72 0.76 0.83 0.90 0.91 0.84 0.71 0.57 0.49 0.49 0.58 0.68 0.72 0.64 0.44 0.20 0.04 0.05 0.26 0.58 0.90 1.09 1.08 0.91 0.70 0.55 0.53 0.59 0.65 0.62 0.47 0.27 0.13 0.14 0.32 0.58 0.78 0.82 0.68 0.44 0.23 0.14 0.21 0.37 0.51 0.55 0.48 0.39 0.37 0.47 0.67 0.86 0.95 0.86 0.61 0.31 0.09 0.02 0.12 0.33 0.53 0.66 0.69 0.64 0.58 0.56 0.60 0.67 0.73 0.76 0.75 0.72 0.72 45.0 + 47.5 0.38 0.41 0.52 0.67 0.76 0.74 0.62 0.48 0.40 0.47 0.65 0.87 0.98 0.91 0.65 0.31 0.05 0.00 0.16 0.49 0.80 0.96 0.90 0.68 0.44 0.29 0.30 0.41 0.49 0.46 0.30 0.09 0.00 0.05 0.33 0.68 0.95 0.99 0.79 0.46 0.15 0.00 0.04 0.19 0.34 0.36 0.27 0.13 0.07 0.16 0.39 0.64 0.79 0.74 0.52 0.23 0.04 0.03 0.22 0.52 0.78 0.90 0.85 0.69 0.52 0.43 0.45 0.54 0.62 0.62 0.55 0.44 0.38 0.41 0.52 0.67 0.76 0.74 0.62 0.48 0.40 0.47 0.65 0.87 0.98 0.91 0.65 0.31 0.05 0.00 0.16 0.49 0.80 0.96 0.90 0.68 0.44 0.29 0.30 0.41 0.49 0.46 0.30 0.09 0.00 0.05 0.33 0.68 0.95 0.99 0.79 0.46 0.15 0.00 0.04 0.19 0.34 0.36 0.27 0.13 0.07 0.16 0.39 0.64 0.79 0.74 0.52 0.23 0.04 0.03 0.22 0.52 0.78 0.90 0.85 0.69 0.52 0.43 0.45 0.54 0.62 0.62 0.55 0.44 0.38 47.5 + 50.0 0.00 0.00 0.09 0.32 0.49 0.52 0.42 0.28 0.24 0.37 0.66 0.99 1.19 1.13 0.83 0.40 0.03 0.00 0.00 0.29 0.56 0.66 0.55 0.30 0.06 0.00 0.04 0.22 0.36 0.36 0.19 0.00 0.00 0.04 0.41 0.86 1.18 1.24 1.00 0.59 0.20 0.00 0.00 0.14 0.27 0.27 0.11 0.00 0.00 0.00 0.04 0.31 0.50 0.50 0.31 0.08 0.00 0.02 0.31 0.68 0.99 1.08 0.94 0.66 0.38 0.22 0.22 0.32 0.41 0.40 0.26 0.06 0.00 0.00 0.09 0.32 0.49 0.52 0.42 0.28 0.24 0.37 0.66 0.99 1.19 1.13 0.83 0.40 0.03 0.00 0.00 0.29 0.56 0.66 0.55 0.30 0.06 0.00 0.04 0.22 0.36 0.36 0.19 0.00 0.00 0.04 0.41 0.86 1.18 1.24 1.00 0.59 0.20 0.00 0.00 0.14 0.27 0.27 0.11 0.00 0.00 0.00 0.04 0.31 0.50 0.50 0.31 0.08 0.00 0.02 0.31 0.68 0.99 1.08 0.94 0.66 0.38 0.22 0.22 0.32 0.41 0.40 0.26 0.06 0.00 50.0 + 52.5 0.00 0.00 0.00 0.02 0.24 0.30 0.21 0.07 0.05 0.23 0.61 1.03 1.30 1.28 0.96 0.47 0.04 0.00 0.00 0.10 0.31 0.36 0.21 0.00 0.00 0.00 0.00 0.08 0.27 0.28 0.11 0.00 0.00 0.02 0.43 0.93 1.29 1.35 1.10 0.66 0.23 0.00 0.00 0.12 0.24 0.21 0.01 0.00 0.00 0.00 0.00 0.03 0.24 0.28 0.15 0.00 0.00 0.04 0.40 0.83 1.13 1.18 0.96 0.57 0.20 0.00 0.00 0.13 0.25 0.23 0.04 0.00 0.00 0.00 0.00 0.02 0.24 0.30 0.21 0.07 0.05 0.23 0.61 1.03 1.30 1.28 0.96 0.47 0.04 0.00 0.00 0.10 0.31 0.36 0.21 0.00 0.00 0.00 0.00 0.08 0.27 0.28 0.11 0.00 0.00 0.02 0.43 0.93 1.29 1.35 1.10 0.66 0.23 0.00 0.00 0.12 0.24 0.21 0.01 0.00 0.00 0.00 0.00 0.03 0.24 0.28 0.15 0.00 0.00 0.04 0.40 0.83 1.13 1.18 0.96 0.57 0.20 0.00 0.00 0.13 0.25 0.23 0.04 0.00 0.00 52.5 + 55.0 0.00 0.00 0.00 0.00 0.15 0.20 0.09 0.00 0.00 0.11 0.53 1.01 1.33 1.35 1.04 0.55 0.09 0.00 0.00 0.04 0.20 0.20 0.02 0.00 0.00 0.00 0.00 0.05 0.25 0.27 0.10 0.00 0.00 0.00 0.39 0.88 1.24 1.31 1.06 0.64 0.23 0.00 0.00 0.12 0.23 0.20 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.22 0.12 0.00 0.00 0.14 0.52 0.95 1.23 1.22 0.93 0.47 0.06 0.00 0.00 0.07 0.23 0.23 0.04 0.00 0.00 0.00 0.00 0.00 0.15 0.20 0.09 0.00 0.00 0.11 0.53 1.01 1.33 1.35 1.04 0.55 0.09 0.00 0.00 0.04 0.20 0.20 0.02 0.00 0.00 0.00 0.00 0.05 0.25 0.27 0.10 0.00 0.00 0.00 0.39 0.88 1.24 1.31 1.06 0.64 0.23 0.00 0.00 0.12 0.23 0.20 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.22 0.12 0.00 0.00 0.14 0.52 0.95 1.23 1.22 0.93 0.47 0.06 0.00 0.00 0.07 0.23 0.23 0.04 0.00 0.00 55.0 + 57.5 0.00 0.00 0.00 0.08 0.26 0.27 0.11 0.00 0.00 0.05 0.47 0.95 1.29 1.33 1.05 0.60 0.18 0.00 0.00 0.11 0.23 0.21 0.02 0.00 0.00 0.00 0.00 0.14 0.33 0.34 0.17 0.00 0.00 0.01 0.37 0.80 1.11 1.18 0.97 0.61 0.26 0.07 0.07 0.19 0.30 0.26 0.08 0.00 0.00 0.00 0.00 0.10 0.30 0.35 0.26 0.12 0.10 0.28 0.64 1.03 1.26 1.21 0.89 0.42 0.01 0.00 0.00 0.15 0.38 0.43 0.27 0.00 0.00 0.00 0.00 0.08 0.26 0.27 0.11 0.00 0.00 0.05 0.47 0.95 1.29 1.33 1.05 0.60 0.18 0.00 0.00 0.11 0.23 0.21 0.02 0.00 0.00 0.00 0.00 0.14 0.33 0.34 0.17 0.00 0.00 0.01 0.37 0.80 1.11 1.18 0.97 0.61 0.26 0.07 0.07 0.19 0.30 0.26 0.08 0.00 0.00 0.00 0.00 0.10 0.30 0.35 0.26 0.12 0.10 0.28 0.64 1.03 1.26 1.21 0.89 0.42 0.01 0.00 0.00 0.15 0.38 0.43 0.27 0.00 0.00 57.5 + 60.0 0.16 0.09 0.19 0.37 0.48 0.43 0.24 0.01 0.00 0.07 0.43 0.87 1.18 1.22 0.99 0.59 0.23 0.04 0.06 0.20 0.31 0.29 0.12 0.00 0.00 0.00 0.01 0.27 0.45 0.46 0.31 0.12 0.02 0.11 0.39 0.73 0.98 1.03 0.88 0.60 0.34 0.21 0.22 0.33 0.40 0.37 0.22 0.03 0.00 0.00 0.11 0.34 0.51 0.53 0.42 0.28 0.24 0.38 0.69 1.03 1.22 1.16 0.85 0.42 0.06 0.00 0.05 0.34 0.61 0.71 0.60 0.37 0.16 0.09 0.19 0.37 0.48 0.43 0.24 0.01 0.00 0.07 0.43 0.87 1.18 1.22 0.99 0.59 0.23 0.04 0.06 0.20 0.31 0.29 0.12 0.00 0.00 0.00 0.01 0.27 0.45 0.46 0.31 0.12 0.02 0.11 0.39 0.73 0.98 1.03 0.88 0.60 0.34 0.21 0.22 0.33 0.40 0.37 0.22 0.03 0.00 0.00 0.11 0.34 0.51 0.53 0.42 0.28 0.24 0.38 0.69 1.03 1.22 1.16 0.85 0.42 0.06 0.00 0.05 0.34 0.61 0.71 0.60 0.37 0.16 60.0 + 62.5 0.50 0.43 0.49 0.61 0.67 0.59 0.38 0.15 0.03 0.13 0.42 0.77 1.01 1.03 0.81 0.47 0.17 0.03 0.06 0.20 0.31 0.30 0.17 0.00 0.00 0.00 0.12 0.36 0.52 0.54 0.43 0.28 0.19 0.23 0.42 0.66 0.84 0.88 0.78 0.59 0.42 0.34 0.36 0.43 0.47 0.41 0.28 0.14 0.06 0.12 0.29 0.49 0.61 0.59 0.46 0.30 0.24 0.36 0.62 0.91 1.09 1.06 0.80 0.45 0.16 0.08 0.22 0.51 0.79 0.92 0.86 0.68 0.50 0.43 0.49 0.61 0.67 0.59 0.38 0.15 0.03 0.13 0.42 0.77 1.01 1.03 0.81 0.47 0.17 0.03 0.06 0.20 0.31 0.30 0.17 0.00 0.00 0.00 0.12 0.36 0.52 0.54 0.43 0.28 0.19 0.23 0.42 0.66 0.84 0.88 0.78 0.59 0.42 0.34 0.36 0.43 0.47 0.41 0.28 0.14 0.06 0.12 0.29 0.49 0.61 0.59 0.46 0.30 0.24 0.36 0.62 0.91 1.09 1.06 0.80 0.45 0.16 0.08 0.22 0.51 0.79 0.92 0.86 0.68 0.50 62.5 + 65.0 0.63 0.57 0.62 0.70 0.74 0.67 0.48 0.27 0.15 0.20 0.40 0.65 0.81 0.78 0.58 0.28 0.03 0.00 0.00 0.11 0.22 0.23 0.14 0.00 0.00 0.00 0.14 0.34 0.50 0.54 0.47 0.35 0.28 0.30 0.41 0.56 0.67 0.69 0.62 0.50 0.40 0.36 0.38 0.42 0.41 0.33 0.19 0.07 0.03 0.10 0.26 0.42 0.51 0.46 0.31 0.16 0.09 0.19 0.43 0.70 0.89 0.90 0.73 0.47 0.25 0.20 0.33 0.57 0.81 0.94 0.91 0.77 0.63 0.57 0.62 0.70 0.74 0.67 0.48 0.27 0.15 0.20 0.40 0.65 0.81 0.78 0.58 0.28 0.03 0.00 0.00 0.11 0.22 0.23 0.14 0.00 0.00 0.00 0.14 0.34 0.50 0.54 0.47 0.35 0.28 0.30 0.41 0.56 0.67 0.69 0.62 0.50 0.40 0.36 0.38 0.42 0.41 0.33 0.19 0.07 0.03 0.10 0.26 0.42 0.51 0.46 0.31 0.16 0.09 0.19 0.43 0.70 0.89 0.90 0.73 0.47 0.25 0.20 0.33 0.57 0.81 0.94 0.91 0.77 0.63 65.0 + 67.5 0.58 0.54 0.58 0.66 0.70 0.66 0.53 0.36 0.26 0.27 0.39 0.55 0.64 0.58 0.39 0.13 0.00 0.00 0.00 0.09 0.21 0.24 0.17 0.06 0.00 0.03 0.17 0.34 0.47 0.51 0.47 0.38 0.32 0.32 0.39 0.48 0.54 0.52 0.45 0.35 0.29 0.27 0.29 0.30 0.26 0.16 0.01 0.00 0.00 0.00 0.09 0.24 0.30 0.24 0.09 0.00 0.00 0.00 0.21 0.48 0.68 0.73 0.63 0.45 0.30 0.25 0.34 0.52 0.70 0.80 0.78 0.68 0.58 0.54 0.58 0.66 0.70 0.66 0.53 0.36 0.26 0.27 0.39 0.55 0.64 0.58 0.39 0.13 0.00 0.00 0.00 0.09 0.21 0.24 0.17 0.06 0.00 0.03 0.17 0.34 0.47 0.51 0.47 0.38 0.32 0.32 0.39 0.48 0.54 0.52 0.45 0.35 0.29 0.27 0.29 0.30 0.26 0.16 0.01 0.00 0.00 0.00 0.09 0.24 0.30 0.24 0.09 0.00 0.00 0.00 0.21 0.48 0.68 0.73 0.63 0.45 0.30 0.25 0.34 0.52 0.70 0.80 0.78 0.68 0.58 67.5 + 70.0 0.48 0.47 0.52 0.61 0.67 0.67 0.59 0.47 0.38 0.37 0.45 0.55 0.60 0.54 0.38 0.18 0.04 0.04 0.17 0.37 0.54 0.60 0.54 0.42 0.33 0.33 0.41 0.53 0.63 0.64 0.58 0.49 0.44 0.44 0.50 0.57 0.58 0.53 0.42 0.30 0.22 0.20 0.23 0.24 0.20 0.08 0.00 0.00 0.00 0.00 0.05 0.19 0.23 0.15 0.00 0.00 0.00 0.00 0.10 0.35 0.55 0.61 0.55 0.42 0.30 0.26 0.32 0.44 0.56 0.63 0.62 0.55 0.48 0.47 0.52 0.61 0.67 0.67 0.59 0.47 0.38 0.37 0.45 0.55 0.60 0.54 0.38 0.18 0.04 0.04 0.17 0.37 0.54 0.60 0.54 0.42 0.33 0.33 0.41 0.53 0.63 0.64 0.58 0.49 0.44 0.44 0.50 0.57 0.58 0.53 0.42 0.30 0.22 0.20 0.23 0.24 0.20 0.08 0.00 0.00 0.00 0.00 0.05 0.19 0.23 0.15 0.00 0.00 0.00 0.00 0.10 0.35 0.55 0.61 0.55 0.42 0.30 0.26 0.32 0.44 0.56 0.63 0.62 0.55 0.48 70.0 + 72.5 0.52 0.53 0.60 0.70 0.78 0.80 0.74 0.64 0.56 0.54 0.60 0.70 0.77 0.75 0.64 0.52 0.46 0.56 0.80 1.10 1.35 1.46 1.41 1.25 1.10 1.01 1.02 1.07 1.10 1.05 0.94 0.82 0.76 0.78 0.87 0.95 0.95 0.85 0.68 0.49 0.37 0.34 0.38 0.43 0.41 0.31 0.17 0.07 0.07 0.19 0.37 0.52 0.54 0.42 0.21 0.03 0.00 0.02 0.21 0.42 0.57 0.60 0.53 0.41 0.32 0.29 0.34 0.44 0.53 0.59 0.59 0.55 0.52 0.53 0.60 0.70 0.78 0.80 0.74 0.64 0.56 0.54 0.60 0.70 0.77 0.75 0.64 0.52 0.46 0.56 0.80 1.10 1.35 1.46 1.41 1.25 1.10 1.01 1.02 1.07 1.10 1.05 0.94 0.82 0.76 0.78 0.87 0.95 0.95 0.85 0.68 0.49 0.37 0.34 0.38 0.43 0.41 0.31 0.17 0.07 0.07 0.19 0.37 0.52 0.54 0.42 0.21 0.03 0.00 0.02 0.21 0.42 0.57 0.60 0.53 0.41 0.32 0.29 0.34 0.44 0.53 0.59 0.59 0.55 0.52 72.5 + 75.0 0.73 0.77 0.85 0.96 1.05 1.07 1.01 0.89 0.79 0.76 0.84 0.98 1.11 1.16 1.13 1.08 1.12 1.33 1.71 2.17 2.55 2.73 2.68 2.47 2.21 2.01 1.92 1.88 1.82 1.70 1.52 1.35 1.28 1.33 1.47 1.60 1.62 1.49 1.24 0.97 0.79 0.74 0.81 0.90 0.94 0.87 0.77 0.70 0.75 0.92 1.14 1.28 1.25 1.04 0.74 0.46 0.32 0.35 0.49 0.65 0.73 0.69 0.57 0.44 0.36 0.36 0.45 0.56 0.66 0.73 0.74 0.73 0.73 0.77 0.85 0.96 1.05 1.07 1.01 0.89 0.79 0.76 0.84 0.98 1.11 1.16 1.13 1.08 1.12 1.33 1.71 2.17 2.55 2.73 2.68 2.47 2.21 2.01 1.92 1.88 1.82 1.70 1.52 1.35 1.28 1.33 1.47 1.60 1.62 1.49 1.24 0.97 0.79 0.74 0.81 0.90 0.94 0.87 0.77 0.70 0.75 0.92 1.14 1.28 1.25 1.04 0.74 0.46 0.32 0.35 0.49 0.65 0.73 0.69 0.57 0.44 0.36 0.36 0.45 0.56 0.66 0.73 0.74 0.73 0.73 75.0 + 77.5 1.01 1.07 1.17 1.30 1.39 1.39 1.30 1.15 1.02 0.99 1.10 1.30 1.51 1.62 1.64 1.63 1.74 2.07 2.61 3.25 3.78 4.06 4.01 3.71 3.33 3.01 2.80 2.67 2.53 2.32 2.07 1.85 1.77 1.87 2.08 2.29 2.34 2.19 1.87 1.53 1.30 1.25 1.36 1.51 1.60 1.59 1.53 1.51 1.63 1.87 2.13 2.26 2.14 1.80 1.34 0.93 0.71 0.69 0.81 0.92 0.93 0.81 0.63 0.47 0.41 0.47 0.61 0.77 0.90 0.97 0.99 0.99 1.01 1.07 1.17 1.30 1.39 1.39 1.30 1.15 1.02 0.99 1.10 1.30 1.51 1.62 1.64 1.63 1.74 2.07 2.61 3.25 3.78 4.06 4.01 3.71 3.33 3.01 2.80 2.67 2.53 2.32 2.07 1.85 1.77 1.87 2.08 2.29 2.34 2.19 1.87 1.53 1.30 1.25 1.36 1.51 1.60 1.59 1.53 1.51 1.63 1.87 2.13 2.26 2.14 1.80 1.34 0.93 0.71 0.69 0.81 0.92 0.93 0.81 0.63 0.47 0.41 0.47 0.61 0.77 0.90 0.97 0.99 0.99 1.01 77.5 + 80.0 1.15 1.23 1.37 1.52 1.63 1.63 1.50 1.30 1.13 1.10 1.25 1.51 1.78 1.92 1.94 1.92 2.04 2.43 3.11 3.92 4.61 4.98 4.93 4.55 4.05 3.60 3.28 3.08 2.88 2.61 2.29 2.03 1.94 2.08 2.38 2.66 2.76 2.61 2.25 1.85 1.59 1.56 1.71 1.93 2.09 2.13 2.11 2.17 2.37 2.69 3.00 3.10 2.88 2.36 1.72 1.18 0.88 0.85 0.98 1.08 1.05 0.88 0.64 0.46 0.43 0.55 0.76 0.96 1.11 1.17 1.16 1.14 1.15 1.23 1.37 1.52 1.63 1.63 1.50 1.30 1.13 1.10 1.25 1.51 1.78 1.92 1.94 1.92 2.04 2.43 3.11 3.92 4.61 4.98 4.93 4.55 4.05 3.60 3.28 3.08 2.88 2.61 2.29 2.03 1.94 2.08 2.38 2.66 2.76 2.61 2.25 1.85 1.59 1.56 1.71 1.93 2.09 2.13 2.11 2.17 2.37 2.69 3.00 3.10 2.88 2.36 1.72 1.18 0.88 0.85 0.98 1.08 1.05 0.88 0.64 0.46 0.43 0.55 0.76 0.96 1.11 1.17 1.16 1.14 1.15 80.0 + 82.5 1.03 1.12 1.30 1.51 1.65 1.65 1.50 1.27 1.08 1.04 1.22 1.52 1.80 1.93 1.87 1.77 1.84 2.24 3.01 3.95 4.78 5.22 5.17 4.72 4.11 3.56 3.18 2.92 2.68 2.37 2.01 1.71 1.63 1.80 2.16 2.51 2.65 2.51 2.13 1.71 1.44 1.44 1.65 1.93 2.14 2.23 2.27 2.40 2.70 3.12 3.47 3.54 3.21 2.52 1.72 1.05 0.72 0.73 0.91 1.07 1.04 0.84 0.57 0.38 0.38 0.55 0.81 1.05 1.17 1.18 1.11 1.04 1.03 1.12 1.30 1.51 1.65 1.65 1.50 1.27 1.08 1.04 1.22 1.52 1.80 1.93 1.87 1.77 1.84 2.24 3.01 3.95 4.78 5.22 5.17 4.72 4.11 3.56 3.18 2.92 2.68 2.37 2.01 1.71 1.63 1.80 2.16 2.51 2.65 2.51 2.13 1.71 1.44 1.44 1.65 1.93 2.14 2.23 2.27 2.40 2.70 3.12 3.47 3.54 3.21 2.52 1.72 1.05 0.72 0.73 0.91 1.07 1.04 0.84 0.57 0.38 0.38 0.55 0.81 1.05 1.17 1.18 1.11 1.04 1.03 82.5 + 85.0 0.69 0.79 1.02 1.27 1.46 1.48 1.32 1.07 0.86 0.82 1.01 1.32 1.58 1.64 1.48 1.26 1.23 1.61 2.41 3.43 4.35 4.84 4.79 4.30 3.62 3.02 2.60 2.33 2.08 1.75 1.36 1.04 0.95 1.15 1.55 1.94 2.11 1.96 1.58 1.15 0.90 0.94 1.20 1.53 1.79 1.92 2.02 2.23 2.64 3.15 3.55 3.60 3.17 2.35 1.41 0.68 0.35 0.42 0.70 0.93 0.94 0.74 0.46 0.28 0.30 0.51 0.79 1.02 1.10 1.03 0.87 0.73 0.69 0.79 1.02 1.27 1.46 1.48 1.32 1.07 0.86 0.82 1.01 1.32 1.58 1.64 1.48 1.26 1.23 1.61 2.41 3.43 4.35 4.84 4.79 4.30 3.62 3.02 2.60 2.33 2.08 1.75 1.36 1.04 0.95 1.15 1.55 1.94 2.11 1.96 1.58 1.15 0.90 0.94 1.20 1.53 1.79 1.92 2.02 2.23 2.64 3.15 3.55 3.60 3.17 2.35 1.41 0.68 0.35 0.42 0.70 0.93 0.94 0.74 0.46 0.28 0.30 0.51 0.79 1.02 1.10 1.03 0.87 0.73 0.69 85.0 + 87.5 0.33 0.44 0.68 0.98 1.19 1.23 1.06 0.79 0.57 0.53 0.72 1.02 1.25 1.24 0.98 0.65 0.53 0.86 1.66 2.72 3.68 4.20 4.16 3.65 2.95 2.34 1.93 1.68 1.44 1.11 0.71 0.38 0.29 0.50 0.91 1.32 1.49 1.34 0.95 0.53 0.30 0.36 0.67 1.04 1.33 1.50 1.66 1.96 2.45 3.05 3.51 3.55 3.05 2.14 1.12 0.35 0.04 0.17 0.53 0.83 0.88 0.69 0.41 0.22 0.26 0.49 0.78 0.98 1.00 0.85 0.61 0.40 0.33 0.44 0.68 0.98 1.19 1.23 1.06 0.79 0.57 0.53 0.72 1.02 1.25 1.24 0.98 0.65 0.53 0.86 1.66 2.72 3.68 4.20 4.16 3.65 2.95 2.34 1.93 1.68 1.44 1.11 0.71 0.38 0.29 0.50 0.91 1.32 1.49 1.34 0.95 0.53 0.30 0.36 0.67 1.04 1.33 1.50 1.66 1.96 2.45 3.05 3.51 3.55 3.05 2.14 1.12 0.35 0.04 0.17 0.53 0.83 0.88 0.69 0.41 0.22 0.26 0.49 0.78 0.98 1.00 0.85 0.61 0.40 0.33 87.5 + 90.0 0.18 0.27 0.52 0.81 1.01 1.03 0.86 0.58 0.35 0.31 0.49 0.78 0.98 0.92 0.61 0.23 0.07 0.37 1.17 2.23 3.18 3.71 3.67 3.17 2.51 1.93 1.57 1.36 1.15 0.83 0.44 0.11 0.02 0.24 0.66 1.06 1.23 1.06 0.66 0.24 0.02 0.11 0.44 0.83 1.15 1.36 1.57 1.93 2.51 3.17 3.67 3.71 3.18 2.23 1.17 0.37 0.07 0.23 0.61 0.92 0.98 0.78 0.49 0.31 0.35 0.58 0.86 1.03 1.01 0.81 0.52 0.27 0.18 0.27 0.52 0.81 1.01 1.03 0.86 0.58 0.35 0.31 0.49 0.78 0.98 0.92 0.61 0.23 0.07 0.37 1.17 2.23 3.18 3.71 3.67 3.17 2.51 1.93 1.57 1.36 1.15 0.83 0.44 0.11 0.02 0.24 0.66 1.06 1.23 1.06 0.66 0.24 0.02 0.11 0.44 0.83 1.15 1.36 1.57 1.93 2.51 3.17 3.67 3.71 3.18 2.23 1.17 0.37 0.07 0.23 0.61 0.92 0.98 0.78 0.49 0.31 0.35 0.58 0.86 1.03 1.01 0.81 0.52 0.27 0.18 90.0 + + 45.0 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 4.46 ) PHI2 = 45. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.0 + 2.5 0.00 0.00 0.00 0.10 0.28 0.37 0.39 0.37 0.40 0.49 0.64 0.84 1.05 1.27 1.51 1.76 2.00 2.19 2.27 2.23 2.08 1.86 1.61 1.38 1.15 0.93 0.73 0.56 0.45 0.40 0.39 0.35 0.24 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.24 0.35 0.39 0.40 0.45 0.56 0.73 0.93 1.15 1.38 1.61 1.86 2.08 2.23 2.27 2.19 2.00 1.76 1.51 1.27 1.05 0.84 0.64 0.49 0.40 0.37 0.39 0.37 0.28 0.10 0.00 0.00 0.00 0.00 0.00 0.10 0.28 0.37 0.39 0.37 0.40 0.49 0.64 0.84 1.05 1.27 1.51 1.76 2.00 2.19 2.27 2.23 2.08 1.86 1.61 1.38 1.15 0.93 0.73 0.56 0.45 0.40 0.39 0.35 0.24 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.24 0.35 0.39 0.40 0.45 0.56 0.73 0.93 1.15 1.38 1.61 1.86 2.08 2.23 2.27 2.19 2.00 1.76 1.51 1.27 1.05 0.84 0.64 0.49 0.40 0.37 0.39 0.37 0.28 0.10 0.00 0.00 0.00 2.5 + 5.0 0.00 0.00 0.12 0.31 0.44 0.48 0.44 0.37 0.34 0.38 0.50 0.67 0.88 1.12 1.39 1.68 1.98 2.22 2.36 2.36 2.24 2.03 1.78 1.51 1.26 1.03 0.82 0.65 0.55 0.50 0.48 0.45 0.35 0.17 0.00 0.00 0.00 0.00 0.00 0.17 0.35 0.45 0.48 0.50 0.55 0.65 0.82 1.03 1.26 1.51 1.78 2.03 2.24 2.36 2.36 2.22 1.98 1.68 1.39 1.12 0.88 0.67 0.50 0.38 0.34 0.37 0.44 0.48 0.44 0.31 0.12 0.00 0.00 0.00 0.12 0.31 0.44 0.48 0.44 0.37 0.34 0.38 0.50 0.67 0.88 1.12 1.39 1.68 1.98 2.22 2.36 2.36 2.24 2.03 1.78 1.51 1.26 1.03 0.82 0.65 0.55 0.50 0.48 0.45 0.35 0.17 0.00 0.00 0.00 0.00 0.00 0.17 0.35 0.45 0.48 0.50 0.55 0.65 0.82 1.03 1.26 1.51 1.78 2.03 2.24 2.36 2.36 2.22 1.98 1.68 1.39 1.12 0.88 0.67 0.50 0.38 0.34 0.37 0.44 0.48 0.44 0.31 0.12 0.00 0.00 5.0 + 7.5 0.33 0.37 0.49 0.62 0.69 0.67 0.58 0.46 0.37 0.35 0.42 0.55 0.75 0.99 1.28 1.60 1.94 2.25 2.46 2.53 2.47 2.28 2.02 1.75 1.48 1.24 1.05 0.90 0.82 0.78 0.78 0.75 0.67 0.53 0.35 0.21 0.15 0.21 0.35 0.53 0.67 0.75 0.78 0.78 0.82 0.90 1.05 1.24 1.48 1.75 2.02 2.28 2.47 2.53 2.46 2.25 1.94 1.60 1.28 0.99 0.75 0.55 0.42 0.35 0.37 0.46 0.58 0.67 0.69 0.62 0.49 0.37 0.33 0.37 0.49 0.62 0.69 0.67 0.58 0.46 0.37 0.35 0.42 0.55 0.75 0.99 1.28 1.60 1.94 2.25 2.46 2.53 2.47 2.28 2.02 1.75 1.48 1.24 1.05 0.90 0.82 0.78 0.78 0.75 0.67 0.53 0.35 0.21 0.15 0.21 0.35 0.53 0.67 0.75 0.78 0.78 0.82 0.90 1.05 1.24 1.48 1.75 2.02 2.28 2.47 2.53 2.46 2.25 1.94 1.60 1.28 0.99 0.75 0.55 0.42 0.35 0.37 0.46 0.58 0.67 0.69 0.62 0.49 0.37 0.33 7.5 + 10.0 0.77 0.80 0.88 0.96 0.99 0.94 0.82 0.67 0.54 0.47 0.48 0.57 0.73 0.95 1.22 1.54 1.90 2.24 2.52 2.67 2.67 2.54 2.31 2.04 1.79 1.57 1.42 1.32 1.27 1.27 1.29 1.29 1.24 1.13 1.00 0.89 0.85 0.89 1.00 1.13 1.24 1.29 1.29 1.27 1.27 1.32 1.42 1.57 1.79 2.04 2.31 2.54 2.67 2.67 2.52 2.24 1.90 1.54 1.22 0.95 0.73 0.57 0.48 0.47 0.54 0.67 0.82 0.94 0.99 0.96 0.88 0.80 0.77 0.80 0.88 0.96 0.99 0.94 0.82 0.67 0.54 0.47 0.48 0.57 0.73 0.95 1.22 1.54 1.90 2.24 2.52 2.67 2.67 2.54 2.31 2.04 1.79 1.57 1.42 1.32 1.27 1.27 1.29 1.29 1.24 1.13 1.00 0.89 0.85 0.89 1.00 1.13 1.24 1.29 1.29 1.27 1.27 1.32 1.42 1.57 1.79 2.04 2.31 2.54 2.67 2.67 2.52 2.24 1.90 1.54 1.22 0.95 0.73 0.57 0.48 0.47 0.54 0.67 0.82 0.94 0.99 0.96 0.88 0.80 0.77 10.0 + 12.5 1.14 1.16 1.20 1.25 1.26 1.21 1.10 0.96 0.82 0.73 0.70 0.74 0.84 0.99 1.21 1.48 1.81 2.17 2.48 2.70 2.78 2.72 2.55 2.33 2.11 1.93 1.82 1.78 1.78 1.83 1.88 1.91 1.90 1.84 1.75 1.67 1.64 1.67 1.75 1.84 1.90 1.91 1.88 1.83 1.78 1.78 1.82 1.93 2.11 2.33 2.55 2.72 2.78 2.70 2.48 2.17 1.81 1.48 1.21 0.99 0.84 0.74 0.70 0.73 0.82 0.96 1.10 1.21 1.26 1.25 1.20 1.16 1.14 1.16 1.20 1.25 1.26 1.21 1.10 0.96 0.82 0.73 0.70 0.74 0.84 0.99 1.21 1.48 1.81 2.17 2.48 2.70 2.78 2.72 2.55 2.33 2.11 1.93 1.82 1.78 1.78 1.83 1.88 1.91 1.90 1.84 1.75 1.67 1.64 1.67 1.75 1.84 1.90 1.91 1.88 1.83 1.78 1.78 1.82 1.93 2.11 2.33 2.55 2.72 2.78 2.70 2.48 2.17 1.81 1.48 1.21 0.99 0.84 0.74 0.70 0.73 0.82 0.96 1.10 1.21 1.26 1.25 1.20 1.16 1.14 12.5 + 15.0 1.35 1.36 1.37 1.39 1.39 1.36 1.29 1.19 1.08 0.99 0.94 0.93 0.97 1.05 1.19 1.39 1.66 1.99 2.32 2.59 2.75 2.77 2.67 2.50 2.33 2.19 2.11 2.10 2.14 2.23 2.32 2.39 2.42 2.41 2.36 2.31 2.29 2.31 2.36 2.41 2.42 2.39 2.32 2.23 2.14 2.10 2.11 2.19 2.33 2.50 2.67 2.77 2.75 2.59 2.32 1.99 1.66 1.39 1.19 1.05 0.97 0.93 0.94 0.99 1.08 1.19 1.29 1.36 1.39 1.39 1.37 1.36 1.35 1.36 1.37 1.39 1.39 1.36 1.29 1.19 1.08 0.99 0.94 0.93 0.97 1.05 1.19 1.39 1.66 1.99 2.32 2.59 2.75 2.77 2.67 2.50 2.33 2.19 2.11 2.10 2.14 2.23 2.32 2.39 2.42 2.41 2.36 2.31 2.29 2.31 2.36 2.41 2.42 2.39 2.32 2.23 2.14 2.10 2.11 2.19 2.33 2.50 2.67 2.77 2.75 2.59 2.32 1.99 1.66 1.39 1.19 1.05 0.97 0.93 0.94 0.99 1.08 1.19 1.29 1.36 1.39 1.39 1.37 1.36 1.35 15.0 + 17.5 1.39 1.38 1.36 1.34 1.32 1.31 1.29 1.24 1.18 1.11 1.05 1.01 1.01 1.03 1.09 1.21 1.42 1.70 2.03 2.34 2.57 2.66 2.63 2.51 2.36 2.23 2.16 2.16 2.21 2.31 2.44 2.55 2.63 2.66 2.66 2.63 2.62 2.63 2.66 2.66 2.63 2.55 2.44 2.31 2.21 2.16 2.16 2.23 2.36 2.51 2.63 2.66 2.57 2.34 2.03 1.70 1.42 1.21 1.09 1.03 1.01 1.01 1.05 1.11 1.18 1.24 1.29 1.31 1.32 1.34 1.36 1.38 1.39 1.38 1.36 1.34 1.32 1.31 1.29 1.24 1.18 1.11 1.05 1.01 1.01 1.03 1.09 1.21 1.42 1.70 2.03 2.34 2.57 2.66 2.63 2.51 2.36 2.23 2.16 2.16 2.21 2.31 2.44 2.55 2.63 2.66 2.66 2.63 2.62 2.63 2.66 2.66 2.63 2.55 2.44 2.31 2.21 2.16 2.16 2.23 2.36 2.51 2.63 2.66 2.57 2.34 2.03 1.70 1.42 1.21 1.09 1.03 1.01 1.01 1.05 1.11 1.18 1.24 1.29 1.31 1.32 1.34 1.36 1.38 1.39 17.5 + 20.0 1.26 1.23 1.16 1.09 1.04 1.03 1.05 1.05 1.03 0.99 0.94 0.90 0.87 0.86 0.88 0.95 1.11 1.35 1.67 1.99 2.26 2.42 2.44 2.36 2.23 2.09 2.00 1.98 2.02 2.13 2.28 2.44 2.57 2.65 2.69 2.71 2.71 2.71 2.69 2.65 2.57 2.44 2.28 2.13 2.02 1.98 2.00 2.09 2.23 2.36 2.44 2.42 2.26 1.99 1.67 1.35 1.11 0.95 0.88 0.86 0.87 0.90 0.94 0.99 1.03 1.05 1.05 1.03 1.04 1.09 1.16 1.23 1.26 1.23 1.16 1.09 1.04 1.03 1.05 1.05 1.03 0.99 0.94 0.90 0.87 0.86 0.88 0.95 1.11 1.35 1.67 1.99 2.26 2.42 2.44 2.36 2.23 2.09 2.00 1.98 2.02 2.13 2.28 2.44 2.57 2.65 2.69 2.71 2.71 2.71 2.69 2.65 2.57 2.44 2.28 2.13 2.02 1.98 2.00 2.09 2.23 2.36 2.44 2.42 2.26 1.99 1.67 1.35 1.11 0.95 0.88 0.86 0.87 0.90 0.94 0.99 1.03 1.05 1.05 1.03 1.04 1.09 1.16 1.23 1.26 20.0 + 22.5 0.99 0.95 0.83 0.70 0.62 0.60 0.63 0.67 0.68 0.67 0.64 0.61 0.59 0.58 0.60 0.65 0.78 0.99 1.28 1.60 1.89 2.08 2.15 2.11 2.00 1.88 1.78 1.74 1.78 1.90 2.08 2.27 2.46 2.61 2.71 2.76 2.77 2.76 2.71 2.61 2.46 2.27 2.08 1.90 1.78 1.74 1.78 1.88 2.00 2.11 2.15 2.08 1.89 1.60 1.28 0.99 0.78 0.65 0.60 0.58 0.59 0.61 0.64 0.67 0.68 0.67 0.63 0.60 0.62 0.70 0.83 0.95 0.99 0.95 0.83 0.70 0.62 0.60 0.63 0.67 0.68 0.67 0.64 0.61 0.59 0.58 0.60 0.65 0.78 0.99 1.28 1.60 1.89 2.08 2.15 2.11 2.00 1.88 1.78 1.74 1.78 1.90 2.08 2.27 2.46 2.61 2.71 2.76 2.77 2.76 2.71 2.61 2.46 2.27 2.08 1.90 1.78 1.74 1.78 1.88 2.00 2.11 2.15 2.08 1.89 1.60 1.28 0.99 0.78 0.65 0.60 0.58 0.59 0.61 0.64 0.67 0.68 0.67 0.63 0.60 0.62 0.70 0.83 0.95 0.99 22.5 + 25.0 0.65 0.59 0.44 0.27 0.15 0.13 0.17 0.24 0.28 0.29 0.27 0.25 0.25 0.27 0.31 0.37 0.47 0.65 0.90 1.20 1.48 1.70 1.82 1.84 1.79 1.71 1.65 1.65 1.72 1.86 2.07 2.31 2.56 2.76 2.92 3.01 3.04 3.01 2.92 2.76 2.56 2.31 2.07 1.86 1.72 1.65 1.65 1.71 1.79 1.84 1.82 1.70 1.48 1.20 0.90 0.65 0.47 0.37 0.31 0.27 0.25 0.25 0.27 0.29 0.28 0.24 0.17 0.13 0.15 0.27 0.44 0.59 0.65 0.59 0.44 0.27 0.15 0.13 0.17 0.24 0.28 0.29 0.27 0.25 0.25 0.27 0.31 0.37 0.47 0.65 0.90 1.20 1.48 1.70 1.82 1.84 1.79 1.71 1.65 1.65 1.72 1.86 2.07 2.31 2.56 2.76 2.92 3.01 3.04 3.01 2.92 2.76 2.56 2.31 2.07 1.86 1.72 1.65 1.65 1.71 1.79 1.84 1.82 1.70 1.48 1.20 0.90 0.65 0.47 0.37 0.31 0.27 0.25 0.25 0.27 0.29 0.28 0.24 0.17 0.13 0.15 0.27 0.44 0.59 0.65 25.0 + 27.5 0.31 0.24 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.14 0.23 0.37 0.57 0.81 1.07 1.31 1.47 1.57 1.62 1.65 1.69 1.76 1.90 2.09 2.33 2.61 2.89 3.14 3.34 3.46 3.50 3.46 3.34 3.14 2.89 2.61 2.33 2.09 1.90 1.76 1.69 1.65 1.62 1.57 1.47 1.31 1.07 0.81 0.57 0.37 0.23 0.14 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.24 0.31 0.24 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.14 0.23 0.37 0.57 0.81 1.07 1.31 1.47 1.57 1.62 1.65 1.69 1.76 1.90 2.09 2.33 2.61 2.89 3.14 3.34 3.46 3.50 3.46 3.34 3.14 2.89 2.61 2.33 2.09 1.90 1.76 1.69 1.65 1.62 1.57 1.47 1.31 1.07 0.81 0.57 0.37 0.23 0.14 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.24 0.31 27.5 + 30.0 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.15 0.29 0.48 0.71 0.95 1.16 1.34 1.49 1.64 1.80 1.99 2.20 2.43 2.70 2.98 3.26 3.52 3.73 3.86 3.91 3.86 3.73 3.52 3.26 2.98 2.70 2.43 2.20 1.99 1.80 1.64 1.49 1.34 1.16 0.95 0.71 0.48 0.29 0.15 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.15 0.29 0.48 0.71 0.95 1.16 1.34 1.49 1.64 1.80 1.99 2.20 2.43 2.70 2.98 3.26 3.52 3.73 3.86 3.91 3.86 3.73 3.52 3.26 2.98 2.70 2.43 2.20 1.99 1.80 1.64 1.49 1.34 1.16 0.95 0.71 0.48 0.29 0.15 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 30.0 + 32.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.25 0.45 0.67 0.90 1.13 1.36 1.60 1.85 2.12 2.38 2.63 2.87 3.11 3.35 3.57 3.76 3.89 3.94 3.89 3.76 3.57 3.35 3.11 2.87 2.63 2.38 2.12 1.85 1.60 1.36 1.13 0.90 0.67 0.45 0.25 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.25 0.45 0.67 0.90 1.13 1.36 1.60 1.85 2.12 2.38 2.63 2.87 3.11 3.35 3.57 3.76 3.89 3.94 3.89 3.76 3.57 3.35 3.11 2.87 2.63 2.38 2.12 1.85 1.60 1.36 1.13 0.90 0.67 0.45 0.25 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 32.5 + 35.0 0.11 0.07 0.00 0.00 0.00 0.00 0.00 0.01 0.04 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.17 0.35 0.55 0.76 0.97 1.19 1.45 1.73 2.01 2.27 2.49 2.66 2.81 2.96 3.12 3.27 3.39 3.43 3.39 3.27 3.12 2.96 2.81 2.66 2.49 2.27 2.01 1.73 1.45 1.19 0.97 0.76 0.55 0.35 0.17 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.04 0.01 0.00 0.00 0.00 0.00 0.00 0.07 0.11 0.07 0.00 0.00 0.00 0.00 0.00 0.01 0.04 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.17 0.35 0.55 0.76 0.97 1.19 1.45 1.73 2.01 2.27 2.49 2.66 2.81 2.96 3.12 3.27 3.39 3.43 3.39 3.27 3.12 2.96 2.81 2.66 2.49 2.27 2.01 1.73 1.45 1.19 0.97 0.76 0.55 0.35 0.17 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.04 0.01 0.00 0.00 0.00 0.00 0.00 0.07 0.11 35.0 + 37.5 0.40 0.36 0.27 0.18 0.13 0.14 0.19 0.24 0.24 0.19 0.10 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.26 0.44 0.61 0.75 0.88 1.02 1.21 1.45 1.68 1.88 2.01 2.08 2.11 2.17 2.26 2.38 2.48 2.52 2.48 2.38 2.26 2.17 2.11 2.08 2.01 1.88 1.68 1.45 1.21 1.02 0.88 0.75 0.61 0.44 0.26 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.10 0.19 0.24 0.24 0.19 0.14 0.13 0.18 0.27 0.36 0.40 0.36 0.27 0.18 0.13 0.14 0.19 0.24 0.24 0.19 0.10 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.26 0.44 0.61 0.75 0.88 1.02 1.21 1.45 1.68 1.88 2.01 2.08 2.11 2.17 2.26 2.38 2.48 2.52 2.48 2.38 2.26 2.17 2.11 2.08 2.01 1.88 1.68 1.45 1.21 1.02 0.88 0.75 0.61 0.44 0.26 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.10 0.19 0.24 0.24 0.19 0.14 0.13 0.18 0.27 0.36 0.40 37.5 + 40.0 0.72 0.69 0.63 0.55 0.50 0.47 0.46 0.45 0.42 0.37 0.30 0.22 0.13 0.04 0.00 0.00 0.00 0.04 0.24 0.47 0.67 0.80 0.85 0.86 0.87 0.95 1.09 1.25 1.36 1.39 1.34 1.28 1.26 1.31 1.43 1.54 1.59 1.54 1.43 1.31 1.26 1.28 1.34 1.39 1.36 1.25 1.09 0.95 0.87 0.86 0.85 0.80 0.67 0.47 0.24 0.04 0.00 0.00 0.00 0.04 0.13 0.22 0.30 0.37 0.42 0.45 0.46 0.47 0.50 0.55 0.63 0.69 0.72 0.69 0.63 0.55 0.50 0.47 0.46 0.45 0.42 0.37 0.30 0.22 0.13 0.04 0.00 0.00 0.00 0.04 0.24 0.47 0.67 0.80 0.85 0.86 0.87 0.95 1.09 1.25 1.36 1.39 1.34 1.28 1.26 1.31 1.43 1.54 1.59 1.54 1.43 1.31 1.26 1.28 1.34 1.39 1.36 1.25 1.09 0.95 0.87 0.86 0.85 0.80 0.67 0.47 0.24 0.04 0.00 0.00 0.00 0.04 0.13 0.22 0.30 0.37 0.42 0.45 0.46 0.47 0.50 0.55 0.63 0.69 0.72 40.0 + 42.5 0.88 0.88 0.85 0.82 0.76 0.70 0.62 0.56 0.52 0.50 0.49 0.46 0.38 0.24 0.09 0.00 0.00 0.13 0.39 0.68 0.91 1.00 0.95 0.83 0.72 0.70 0.77 0.86 0.90 0.85 0.71 0.58 0.53 0.60 0.76 0.92 0.98 0.92 0.76 0.60 0.53 0.58 0.71 0.85 0.90 0.86 0.77 0.70 0.72 0.83 0.95 1.00 0.91 0.68 0.39 0.13 0.00 0.00 0.09 0.24 0.38 0.46 0.49 0.50 0.52 0.56 0.62 0.70 0.76 0.82 0.85 0.88 0.88 0.88 0.85 0.82 0.76 0.70 0.62 0.56 0.52 0.50 0.49 0.46 0.38 0.24 0.09 0.00 0.00 0.13 0.39 0.68 0.91 1.00 0.95 0.83 0.72 0.70 0.77 0.86 0.90 0.85 0.71 0.58 0.53 0.60 0.76 0.92 0.98 0.92 0.76 0.60 0.53 0.58 0.71 0.85 0.90 0.86 0.77 0.70 0.72 0.83 0.95 1.00 0.91 0.68 0.39 0.13 0.00 0.00 0.09 0.24 0.38 0.46 0.49 0.50 0.52 0.56 0.62 0.70 0.76 0.82 0.85 0.88 0.88 42.5 + 45.0 0.77 0.79 0.83 0.86 0.83 0.75 0.65 0.56 0.53 0.58 0.66 0.71 0.66 0.49 0.25 0.06 0.01 0.15 0.43 0.76 0.99 1.04 0.91 0.69 0.51 0.45 0.50 0.58 0.60 0.50 0.32 0.17 0.13 0.27 0.51 0.74 0.84 0.74 0.51 0.27 0.13 0.17 0.32 0.50 0.60 0.58 0.50 0.45 0.51 0.69 0.91 1.04 0.99 0.76 0.43 0.15 0.01 0.06 0.25 0.49 0.66 0.71 0.66 0.58 0.53 0.56 0.65 0.75 0.83 0.86 0.83 0.79 0.77 0.79 0.83 0.86 0.83 0.75 0.65 0.56 0.53 0.58 0.66 0.71 0.66 0.49 0.25 0.06 0.01 0.15 0.43 0.76 0.99 1.04 0.91 0.69 0.51 0.45 0.50 0.58 0.60 0.50 0.32 0.17 0.13 0.27 0.51 0.74 0.84 0.74 0.51 0.27 0.13 0.17 0.32 0.50 0.60 0.58 0.50 0.45 0.51 0.69 0.91 1.04 0.99 0.76 0.43 0.15 0.01 0.06 0.25 0.49 0.66 0.71 0.66 0.58 0.53 0.56 0.65 0.75 0.83 0.86 0.83 0.79 0.77 45.0 + 47.5 0.39 0.44 0.56 0.67 0.70 0.64 0.52 0.42 0.44 0.58 0.78 0.93 0.92 0.72 0.40 0.10 0.00 0.06 0.33 0.65 0.85 0.85 0.66 0.40 0.20 0.16 0.25 0.38 0.42 0.32 0.14 0.00 0.01 0.23 0.58 0.89 1.02 0.89 0.58 0.23 0.01 0.00 0.14 0.32 0.42 0.38 0.25 0.16 0.20 0.40 0.66 0.85 0.85 0.65 0.33 0.06 0.00 0.10 0.40 0.72 0.92 0.93 0.78 0.58 0.44 0.42 0.52 0.64 0.70 0.67 0.56 0.44 0.39 0.44 0.56 0.67 0.70 0.64 0.52 0.42 0.44 0.58 0.78 0.93 0.92 0.72 0.40 0.10 0.00 0.06 0.33 0.65 0.85 0.85 0.66 0.40 0.20 0.16 0.25 0.38 0.42 0.32 0.14 0.00 0.01 0.23 0.58 0.89 1.02 0.89 0.58 0.23 0.01 0.00 0.14 0.32 0.42 0.38 0.25 0.16 0.20 0.40 0.66 0.85 0.85 0.65 0.33 0.06 0.00 0.10 0.40 0.72 0.92 0.93 0.78 0.58 0.44 0.42 0.52 0.64 0.70 0.67 0.56 0.44 0.39 47.5 + 50.0 0.00 0.00 0.16 0.36 0.46 0.41 0.29 0.20 0.27 0.50 0.83 1.09 1.14 0.93 0.54 0.14 0.00 0.00 0.14 0.41 0.57 0.51 0.28 0.00 0.00 0.00 0.02 0.21 0.30 0.22 0.04 0.00 0.00 0.28 0.72 1.11 1.27 1.11 0.72 0.28 0.00 0.00 0.04 0.22 0.30 0.21 0.02 0.00 0.00 0.00 0.28 0.51 0.57 0.41 0.14 0.00 0.00 0.14 0.54 0.93 1.14 1.09 0.83 0.50 0.27 0.20 0.29 0.41 0.46 0.36 0.16 0.00 0.00 0.00 0.16 0.36 0.46 0.41 0.29 0.20 0.27 0.50 0.83 1.09 1.14 0.93 0.54 0.14 0.00 0.00 0.14 0.41 0.57 0.51 0.28 0.00 0.00 0.00 0.02 0.21 0.30 0.22 0.04 0.00 0.00 0.28 0.72 1.11 1.27 1.11 0.72 0.28 0.00 0.00 0.04 0.22 0.30 0.21 0.02 0.00 0.00 0.00 0.28 0.51 0.57 0.41 0.14 0.00 0.00 0.14 0.54 0.93 1.14 1.09 0.83 0.50 0.27 0.20 0.29 0.41 0.46 0.36 0.16 0.00 0.00 50.0 + 52.5 0.00 0.00 0.00 0.11 0.24 0.20 0.07 0.00 0.07 0.38 0.81 1.17 1.28 1.08 0.66 0.19 0.00 0.00 0.00 0.19 0.29 0.19 0.00 0.00 0.00 0.00 0.00 0.09 0.21 0.15 0.00 0.00 0.00 0.30 0.79 1.21 1.38 1.21 0.79 0.30 0.00 0.00 0.00 0.15 0.21 0.09 0.00 0.00 0.00 0.00 0.00 0.19 0.29 0.19 0.00 0.00 0.00 0.19 0.66 1.08 1.28 1.17 0.81 0.38 0.07 0.00 0.07 0.20 0.24 0.11 0.00 0.00 0.00 0.00 0.00 0.11 0.24 0.20 0.07 0.00 0.07 0.38 0.81 1.17 1.28 1.08 0.66 0.19 0.00 0.00 0.00 0.19 0.29 0.19 0.00 0.00 0.00 0.00 0.00 0.09 0.21 0.15 0.00 0.00 0.00 0.30 0.79 1.21 1.38 1.21 0.79 0.30 0.00 0.00 0.00 0.15 0.21 0.09 0.00 0.00 0.00 0.00 0.00 0.19 0.29 0.19 0.00 0.00 0.00 0.19 0.66 1.08 1.28 1.17 0.81 0.38 0.07 0.00 0.07 0.20 0.24 0.11 0.00 0.00 0.00 52.5 + 55.0 0.00 0.00 0.00 0.06 0.19 0.12 0.00 0.00 0.00 0.27 0.76 1.18 1.35 1.19 0.77 0.29 0.00 0.00 0.00 0.13 0.18 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.18 0.13 0.00 0.00 0.00 0.28 0.76 1.17 1.34 1.17 0.76 0.28 0.00 0.00 0.00 0.13 0.18 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.18 0.13 0.00 0.00 0.00 0.29 0.77 1.19 1.35 1.18 0.76 0.27 0.00 0.00 0.00 0.12 0.19 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.19 0.12 0.00 0.00 0.00 0.27 0.76 1.18 1.35 1.19 0.77 0.29 0.00 0.00 0.00 0.13 0.18 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.18 0.13 0.00 0.00 0.00 0.28 0.76 1.17 1.34 1.17 0.76 0.28 0.00 0.00 0.00 0.13 0.18 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.18 0.13 0.00 0.00 0.00 0.29 0.77 1.19 1.35 1.18 0.76 0.27 0.00 0.00 0.00 0.12 0.19 0.06 0.00 0.00 0.00 55.0 + 57.5 0.00 0.00 0.00 0.23 0.32 0.21 0.00 0.00 0.00 0.22 0.71 1.16 1.36 1.24 0.86 0.41 0.09 0.00 0.08 0.22 0.26 0.12 0.00 0.00 0.00 0.00 0.00 0.13 0.25 0.20 0.04 0.00 0.00 0.28 0.70 1.06 1.21 1.06 0.70 0.28 0.00 0.00 0.04 0.20 0.25 0.13 0.00 0.00 0.00 0.00 0.00 0.12 0.26 0.22 0.08 0.00 0.09 0.41 0.86 1.24 1.36 1.16 0.71 0.22 0.00 0.00 0.00 0.21 0.32 0.23 0.00 0.00 0.00 0.00 0.00 0.23 0.32 0.21 0.00 0.00 0.00 0.22 0.71 1.16 1.36 1.24 0.86 0.41 0.09 0.00 0.08 0.22 0.26 0.12 0.00 0.00 0.00 0.00 0.00 0.13 0.25 0.20 0.04 0.00 0.00 0.28 0.70 1.06 1.21 1.06 0.70 0.28 0.00 0.00 0.04 0.20 0.25 0.13 0.00 0.00 0.00 0.00 0.00 0.12 0.26 0.22 0.08 0.00 0.09 0.41 0.86 1.24 1.36 1.16 0.71 0.22 0.00 0.00 0.00 0.21 0.32 0.23 0.00 0.00 0.00 57.5 + 60.0 0.05 0.14 0.34 0.52 0.55 0.39 0.13 0.00 0.00 0.24 0.68 1.10 1.29 1.19 0.86 0.47 0.19 0.12 0.21 0.35 0.40 0.28 0.05 0.00 0.00 0.00 0.04 0.26 0.37 0.33 0.20 0.09 0.13 0.34 0.67 0.95 1.07 0.95 0.67 0.34 0.13 0.09 0.20 0.33 0.37 0.26 0.04 0.00 0.00 0.00 0.05 0.28 0.40 0.35 0.21 0.12 0.19 0.47 0.86 1.19 1.29 1.10 0.68 0.24 0.00 0.00 0.13 0.39 0.55 0.52 0.34 0.14 0.05 0.14 0.34 0.52 0.55 0.39 0.13 0.00 0.00 0.24 0.68 1.10 1.29 1.19 0.86 0.47 0.19 0.12 0.21 0.35 0.40 0.28 0.05 0.00 0.00 0.00 0.04 0.26 0.37 0.33 0.20 0.09 0.13 0.34 0.67 0.95 1.07 0.95 0.67 0.34 0.13 0.09 0.20 0.33 0.37 0.26 0.04 0.00 0.00 0.00 0.05 0.28 0.40 0.35 0.21 0.12 0.19 0.47 0.86 1.19 1.29 1.10 0.68 0.24 0.00 0.00 0.13 0.39 0.55 0.52 0.34 0.14 0.05 60.0 + 62.5 0.41 0.48 0.64 0.76 0.75 0.56 0.30 0.09 0.08 0.30 0.65 0.99 1.14 1.04 0.74 0.40 0.17 0.12 0.23 0.38 0.44 0.36 0.18 0.00 0.00 0.00 0.15 0.34 0.45 0.44 0.34 0.26 0.27 0.41 0.63 0.83 0.92 0.83 0.63 0.41 0.27 0.26 0.34 0.44 0.45 0.34 0.15 0.00 0.00 0.00 0.18 0.36 0.44 0.38 0.23 0.12 0.17 0.40 0.74 1.04 1.14 0.99 0.65 0.30 0.08 0.09 0.30 0.56 0.75 0.76 0.64 0.48 0.41 0.48 0.64 0.76 0.75 0.56 0.30 0.09 0.08 0.30 0.65 0.99 1.14 1.04 0.74 0.40 0.17 0.12 0.23 0.38 0.44 0.36 0.18 0.00 0.00 0.00 0.15 0.34 0.45 0.44 0.34 0.26 0.27 0.41 0.63 0.83 0.92 0.83 0.63 0.41 0.27 0.26 0.34 0.44 0.45 0.34 0.15 0.00 0.00 0.00 0.18 0.36 0.44 0.38 0.23 0.12 0.17 0.40 0.74 1.04 1.14 0.99 0.65 0.30 0.08 0.09 0.30 0.56 0.75 0.76 0.64 0.48 0.41 62.5 + 65.0 0.58 0.63 0.74 0.83 0.80 0.64 0.40 0.22 0.19 0.34 0.60 0.84 0.92 0.79 0.52 0.21 0.01 0.00 0.10 0.25 0.33 0.28 0.14 0.00 0.00 0.00 0.12 0.30 0.42 0.44 0.39 0.32 0.32 0.41 0.55 0.68 0.73 0.68 0.55 0.41 0.32 0.32 0.39 0.44 0.42 0.30 0.12 0.00 0.00 0.00 0.14 0.28 0.33 0.25 0.10 0.00 0.01 0.21 0.52 0.79 0.92 0.84 0.60 0.34 0.19 0.22 0.40 0.64 0.80 0.83 0.74 0.63 0.58 0.63 0.74 0.83 0.80 0.64 0.40 0.22 0.19 0.34 0.60 0.84 0.92 0.79 0.52 0.21 0.01 0.00 0.10 0.25 0.33 0.28 0.14 0.00 0.00 0.00 0.12 0.30 0.42 0.44 0.39 0.32 0.32 0.41 0.55 0.68 0.73 0.68 0.55 0.41 0.32 0.32 0.39 0.44 0.42 0.30 0.12 0.00 0.00 0.00 0.14 0.28 0.33 0.25 0.10 0.00 0.01 0.21 0.52 0.79 0.92 0.84 0.60 0.34 0.19 0.22 0.40 0.64 0.80 0.83 0.74 0.63 0.58 65.0 + 67.5 0.56 0.59 0.68 0.75 0.73 0.61 0.43 0.29 0.26 0.36 0.54 0.68 0.70 0.55 0.28 0.01 0.00 0.00 0.00 0.09 0.19 0.17 0.06 0.00 0.00 0.00 0.04 0.20 0.33 0.38 0.35 0.31 0.30 0.35 0.45 0.55 0.58 0.55 0.45 0.35 0.30 0.31 0.35 0.38 0.33 0.20 0.04 0.00 0.00 0.00 0.06 0.17 0.19 0.09 0.00 0.00 0.00 0.01 0.28 0.55 0.70 0.68 0.54 0.36 0.26 0.29 0.43 0.61 0.73 0.75 0.68 0.59 0.56 0.59 0.68 0.75 0.73 0.61 0.43 0.29 0.26 0.36 0.54 0.68 0.70 0.55 0.28 0.01 0.00 0.00 0.00 0.09 0.19 0.17 0.06 0.00 0.00 0.00 0.04 0.20 0.33 0.38 0.35 0.31 0.30 0.35 0.45 0.55 0.58 0.55 0.45 0.35 0.30 0.31 0.35 0.38 0.33 0.20 0.04 0.00 0.00 0.00 0.06 0.17 0.19 0.09 0.00 0.00 0.00 0.01 0.28 0.55 0.70 0.68 0.54 0.36 0.26 0.29 0.43 0.61 0.73 0.75 0.68 0.59 0.56 67.5 + 70.0 0.50 0.53 0.60 0.65 0.65 0.57 0.45 0.35 0.32 0.38 0.50 0.59 0.58 0.44 0.20 0.00 0.00 0.00 0.00 0.16 0.29 0.30 0.20 0.06 0.00 0.00 0.10 0.25 0.37 0.41 0.38 0.34 0.33 0.39 0.49 0.59 0.63 0.59 0.49 0.39 0.33 0.34 0.38 0.41 0.37 0.25 0.10 0.00 0.00 0.06 0.20 0.30 0.29 0.16 0.00 0.00 0.00 0.00 0.20 0.44 0.58 0.59 0.50 0.38 0.32 0.35 0.45 0.57 0.65 0.65 0.60 0.53 0.50 0.53 0.60 0.65 0.65 0.57 0.45 0.35 0.32 0.38 0.50 0.59 0.58 0.44 0.20 0.00 0.00 0.00 0.00 0.16 0.29 0.30 0.20 0.06 0.00 0.00 0.10 0.25 0.37 0.41 0.38 0.34 0.33 0.39 0.49 0.59 0.63 0.59 0.49 0.39 0.33 0.34 0.38 0.41 0.37 0.25 0.10 0.00 0.00 0.06 0.20 0.30 0.29 0.16 0.00 0.00 0.00 0.00 0.20 0.44 0.58 0.59 0.50 0.38 0.32 0.35 0.45 0.57 0.65 0.65 0.60 0.53 0.50 70.0 + 72.5 0.57 0.60 0.65 0.70 0.70 0.64 0.54 0.45 0.41 0.45 0.55 0.64 0.65 0.55 0.37 0.19 0.11 0.18 0.40 0.65 0.84 0.89 0.79 0.62 0.48 0.45 0.51 0.62 0.70 0.70 0.64 0.58 0.58 0.67 0.81 0.95 1.00 0.95 0.81 0.67 0.58 0.58 0.64 0.70 0.70 0.62 0.51 0.45 0.48 0.62 0.79 0.89 0.84 0.65 0.40 0.18 0.11 0.19 0.37 0.55 0.65 0.64 0.55 0.45 0.41 0.45 0.54 0.64 0.70 0.70 0.65 0.60 0.57 0.60 0.65 0.70 0.70 0.64 0.54 0.45 0.41 0.45 0.55 0.64 0.65 0.55 0.37 0.19 0.11 0.18 0.40 0.65 0.84 0.89 0.79 0.62 0.48 0.45 0.51 0.62 0.70 0.70 0.64 0.58 0.58 0.67 0.81 0.95 1.00 0.95 0.81 0.67 0.58 0.58 0.64 0.70 0.70 0.62 0.51 0.45 0.48 0.62 0.79 0.89 0.84 0.65 0.40 0.18 0.11 0.19 0.37 0.55 0.65 0.64 0.55 0.45 0.41 0.45 0.54 0.64 0.70 0.70 0.65 0.60 0.57 72.5 + 75.0 0.83 0.85 0.89 0.93 0.93 0.86 0.75 0.63 0.56 0.58 0.69 0.82 0.90 0.87 0.76 0.64 0.63 0.80 1.13 1.52 1.82 1.92 1.82 1.60 1.38 1.27 1.26 1.31 1.33 1.27 1.15 1.05 1.06 1.19 1.41 1.61 1.69 1.61 1.41 1.19 1.06 1.05 1.15 1.27 1.33 1.31 1.26 1.27 1.38 1.60 1.82 1.92 1.82 1.52 1.13 0.80 0.63 0.64 0.76 0.87 0.90 0.82 0.69 0.58 0.56 0.63 0.75 0.86 0.93 0.93 0.89 0.85 0.83 0.85 0.89 0.93 0.93 0.86 0.75 0.63 0.56 0.58 0.69 0.82 0.90 0.87 0.76 0.64 0.63 0.80 1.13 1.52 1.82 1.92 1.82 1.60 1.38 1.27 1.26 1.31 1.33 1.27 1.15 1.05 1.06 1.19 1.41 1.61 1.69 1.61 1.41 1.19 1.06 1.05 1.15 1.27 1.33 1.31 1.26 1.27 1.38 1.60 1.82 1.92 1.82 1.52 1.13 0.80 0.63 0.64 0.76 0.87 0.90 0.82 0.69 0.58 0.56 0.63 0.75 0.86 0.93 0.93 0.89 0.85 0.83 75.0 + 77.5 1.14 1.16 1.21 1.26 1.25 1.17 1.01 0.84 0.73 0.74 0.87 1.06 1.22 1.27 1.20 1.13 1.18 1.45 1.92 2.48 2.92 3.11 3.02 2.73 2.41 2.19 2.10 2.07 2.02 1.89 1.71 1.57 1.57 1.76 2.05 2.33 2.44 2.33 2.05 1.76 1.57 1.57 1.71 1.89 2.02 2.07 2.10 2.19 2.41 2.73 3.02 3.11 2.92 2.48 1.92 1.45 1.18 1.13 1.20 1.27 1.22 1.06 0.87 0.74 0.73 0.84 1.01 1.17 1.25 1.26 1.21 1.16 1.14 1.16 1.21 1.26 1.25 1.17 1.01 0.84 0.73 0.74 0.87 1.06 1.22 1.27 1.20 1.13 1.18 1.45 1.92 2.48 2.92 3.11 3.02 2.73 2.41 2.19 2.10 2.07 2.02 1.89 1.71 1.57 1.57 1.76 2.05 2.33 2.44 2.33 2.05 1.76 1.57 1.57 1.71 1.89 2.02 2.07 2.10 2.19 2.41 2.73 3.02 3.11 2.92 2.48 1.92 1.45 1.18 1.13 1.20 1.27 1.22 1.06 0.87 0.74 0.73 0.84 1.01 1.17 1.25 1.26 1.21 1.16 1.14 77.5 + 80.0 1.31 1.34 1.42 1.50 1.51 1.42 1.23 1.00 0.84 0.83 0.99 1.24 1.46 1.54 1.49 1.40 1.47 1.81 2.42 3.15 3.76 4.05 3.97 3.62 3.19 2.85 2.66 2.56 2.45 2.25 2.00 1.81 1.80 2.03 2.39 2.73 2.86 2.73 2.39 2.03 1.80 1.81 2.00 2.25 2.45 2.56 2.66 2.85 3.19 3.62 3.97 4.05 3.76 3.15 2.42 1.81 1.47 1.40 1.49 1.54 1.46 1.24 0.99 0.83 0.84 1.00 1.23 1.42 1.51 1.50 1.42 1.34 1.31 1.34 1.42 1.50 1.51 1.42 1.23 1.00 0.84 0.83 0.99 1.24 1.46 1.54 1.49 1.40 1.47 1.81 2.42 3.15 3.76 4.05 3.97 3.62 3.19 2.85 2.66 2.56 2.45 2.25 2.00 1.81 1.80 2.03 2.39 2.73 2.86 2.73 2.39 2.03 1.80 1.81 2.00 2.25 2.45 2.56 2.66 2.85 3.19 3.62 3.97 4.05 3.76 3.15 2.42 1.81 1.47 1.40 1.49 1.54 1.46 1.24 0.99 0.83 0.84 1.00 1.23 1.42 1.51 1.50 1.42 1.34 1.31 80.0 + 82.5 1.20 1.25 1.38 1.52 1.58 1.51 1.31 1.04 0.85 0.82 0.99 1.28 1.52 1.59 1.48 1.33 1.35 1.71 2.42 3.31 4.07 4.46 4.39 3.97 3.43 2.98 2.71 2.55 2.39 2.13 1.82 1.58 1.56 1.80 2.21 2.59 2.74 2.59 2.21 1.80 1.56 1.58 1.82 2.13 2.39 2.55 2.71 2.98 3.43 3.97 4.39 4.46 4.07 3.31 2.42 1.71 1.35 1.33 1.48 1.59 1.52 1.28 0.99 0.82 0.85 1.04 1.31 1.51 1.58 1.52 1.38 1.25 1.20 1.25 1.38 1.52 1.58 1.51 1.31 1.04 0.85 0.82 0.99 1.28 1.52 1.59 1.48 1.33 1.35 1.71 2.42 3.31 4.07 4.46 4.39 3.97 3.43 2.98 2.71 2.55 2.39 2.13 1.82 1.58 1.56 1.80 2.21 2.59 2.74 2.59 2.21 1.80 1.56 1.58 1.82 2.13 2.39 2.55 2.71 2.98 3.43 3.97 4.39 4.46 4.07 3.31 2.42 1.71 1.35 1.33 1.48 1.59 1.52 1.28 0.99 0.82 0.85 1.04 1.31 1.51 1.58 1.52 1.38 1.25 1.20 82.5 + 85.0 0.86 0.93 1.12 1.34 1.47 1.45 1.25 0.97 0.74 0.71 0.89 1.18 1.41 1.43 1.23 0.97 0.90 1.25 2.02 3.01 3.88 4.35 4.29 3.82 3.19 2.66 2.31 2.11 1.91 1.61 1.25 0.97 0.92 1.16 1.59 2.00 2.16 2.00 1.59 1.16 0.92 0.97 1.25 1.61 1.91 2.11 2.31 2.66 3.19 3.82 4.29 4.35 3.88 3.01 2.02 1.25 0.90 0.97 1.23 1.43 1.41 1.18 0.89 0.71 0.74 0.97 1.25 1.45 1.47 1.34 1.12 0.93 0.86 0.93 1.12 1.34 1.47 1.45 1.25 0.97 0.74 0.71 0.89 1.18 1.41 1.43 1.23 0.97 0.90 1.25 2.02 3.01 3.88 4.35 4.29 3.82 3.19 2.66 2.31 2.11 1.91 1.61 1.25 0.97 0.92 1.16 1.59 2.00 2.16 2.00 1.59 1.16 0.92 0.97 1.25 1.61 1.91 2.11 2.31 2.66 3.19 3.82 4.29 4.35 3.88 3.01 2.02 1.25 0.90 0.97 1.23 1.43 1.41 1.18 0.89 0.71 0.74 0.97 1.25 1.45 1.47 1.34 1.12 0.93 0.86 85.0 + 87.5 0.49 0.59 0.82 1.11 1.30 1.32 1.14 0.85 0.62 0.58 0.76 1.05 1.26 1.22 0.93 0.57 0.43 0.74 1.53 2.58 3.52 4.03 3.98 3.48 2.79 2.20 1.81 1.58 1.35 1.03 0.64 0.33 0.26 0.50 0.93 1.34 1.51 1.34 0.93 0.50 0.26 0.33 0.64 1.03 1.35 1.58 1.81 2.20 2.79 3.48 3.98 4.03 3.52 2.58 1.53 0.74 0.43 0.57 0.93 1.22 1.26 1.05 0.76 0.58 0.62 0.85 1.14 1.32 1.30 1.11 0.82 0.59 0.49 0.59 0.82 1.11 1.30 1.32 1.14 0.85 0.62 0.58 0.76 1.05 1.26 1.22 0.93 0.57 0.43 0.74 1.53 2.58 3.52 4.03 3.98 3.48 2.79 2.20 1.81 1.58 1.35 1.03 0.64 0.33 0.26 0.50 0.93 1.34 1.51 1.34 0.93 0.50 0.26 0.33 0.64 1.03 1.35 1.58 1.81 2.20 2.79 3.48 3.98 4.03 3.52 2.58 1.53 0.74 0.43 0.57 0.93 1.22 1.26 1.05 0.76 0.58 0.62 0.85 1.14 1.32 1.30 1.11 0.82 0.59 0.49 87.5 + 90.0 0.34 0.44 0.69 1.00 1.22 1.26 1.08 0.80 0.56 0.52 0.70 0.98 1.18 1.12 0.80 0.40 0.22 0.52 1.31 2.38 3.35 3.88 3.82 3.31 2.61 1.99 1.59 1.35 1.11 0.79 0.39 0.06 0.00 0.21 0.65 1.06 1.23 1.06 0.65 0.21 0.00 0.06 0.39 0.79 1.11 1.35 1.59 1.99 2.61 3.31 3.82 3.88 3.35 2.38 1.31 0.52 0.22 0.40 0.80 1.12 1.18 0.98 0.70 0.52 0.56 0.80 1.08 1.26 1.22 1.00 0.69 0.44 0.34 0.44 0.69 1.00 1.22 1.26 1.08 0.80 0.56 0.52 0.70 0.98 1.18 1.12 0.80 0.40 0.22 0.52 1.31 2.38 3.35 3.88 3.82 3.31 2.61 1.99 1.59 1.35 1.11 0.79 0.39 0.06 0.00 0.21 0.65 1.06 1.23 1.06 0.65 0.21 0.00 0.06 0.39 0.79 1.11 1.35 1.59 1.99 2.61 3.31 3.82 3.88 3.35 2.38 1.31 0.52 0.22 0.40 0.80 1.12 1.18 0.98 0.70 0.52 0.56 0.80 1.08 1.26 1.22 1.00 0.69 0.44 0.34 90.0 + + 47.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.22 ) PHI2 = 48. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.0 + 2.5 0.00 0.00 0.09 0.28 0.37 0.38 0.37 0.40 0.49 0.64 0.84 1.05 1.27 1.51 1.76 2.01 2.19 2.27 2.23 2.08 1.86 1.62 1.38 1.15 0.93 0.73 0.56 0.45 0.40 0.39 0.35 0.24 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.24 0.35 0.39 0.40 0.45 0.56 0.73 0.93 1.15 1.38 1.61 1.85 2.07 2.22 2.27 2.18 2.00 1.76 1.51 1.27 1.05 0.84 0.64 0.49 0.40 0.38 0.39 0.37 0.28 0.10 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.37 0.38 0.37 0.40 0.49 0.64 0.84 1.05 1.27 1.51 1.76 2.01 2.19 2.27 2.23 2.08 1.86 1.62 1.38 1.15 0.93 0.73 0.56 0.45 0.40 0.39 0.35 0.24 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.24 0.35 0.39 0.40 0.45 0.56 0.73 0.93 1.15 1.38 1.61 1.85 2.07 2.22 2.27 2.18 2.00 1.76 1.51 1.27 1.05 0.84 0.64 0.49 0.40 0.38 0.39 0.37 0.28 0.10 0.00 0.00 0.00 0.00 2.5 + 5.0 0.00 0.12 0.31 0.43 0.47 0.43 0.36 0.34 0.38 0.50 0.68 0.89 1.13 1.40 1.69 1.99 2.23 2.37 2.38 2.25 2.04 1.78 1.52 1.27 1.03 0.82 0.65 0.54 0.49 0.48 0.44 0.35 0.17 0.00 0.00 0.00 0.00 0.00 0.17 0.35 0.45 0.49 0.50 0.55 0.65 0.81 1.02 1.25 1.51 1.77 2.02 2.23 2.35 2.34 2.20 1.97 1.68 1.39 1.12 0.88 0.67 0.50 0.39 0.35 0.38 0.45 0.49 0.44 0.31 0.12 0.00 0.00 0.00 0.12 0.31 0.43 0.47 0.43 0.36 0.34 0.38 0.50 0.68 0.89 1.13 1.40 1.69 1.99 2.23 2.37 2.38 2.25 2.04 1.78 1.52 1.27 1.03 0.82 0.65 0.54 0.49 0.48 0.44 0.35 0.17 0.00 0.00 0.00 0.00 0.00 0.17 0.35 0.45 0.49 0.50 0.55 0.65 0.81 1.02 1.25 1.51 1.77 2.02 2.23 2.35 2.34 2.20 1.97 1.68 1.39 1.12 0.88 0.67 0.50 0.39 0.35 0.38 0.45 0.49 0.44 0.31 0.12 0.00 0.00 0.00 5.0 + 7.5 0.37 0.49 0.61 0.68 0.66 0.56 0.44 0.35 0.34 0.41 0.55 0.75 0.99 1.28 1.61 1.96 2.27 2.49 2.56 2.49 2.30 2.04 1.76 1.49 1.26 1.06 0.91 0.82 0.78 0.77 0.74 0.67 0.53 0.36 0.21 0.15 0.20 0.34 0.52 0.66 0.75 0.78 0.78 0.81 0.89 1.03 1.22 1.46 1.72 2.00 2.25 2.44 2.50 2.43 2.22 1.92 1.59 1.27 0.99 0.75 0.55 0.42 0.36 0.38 0.48 0.60 0.69 0.70 0.62 0.48 0.37 0.32 0.37 0.49 0.61 0.68 0.66 0.56 0.44 0.35 0.34 0.41 0.55 0.75 0.99 1.28 1.61 1.96 2.27 2.49 2.56 2.49 2.30 2.04 1.76 1.49 1.26 1.06 0.91 0.82 0.78 0.77 0.74 0.67 0.53 0.36 0.21 0.15 0.20 0.34 0.52 0.66 0.75 0.78 0.78 0.81 0.89 1.03 1.22 1.46 1.72 2.00 2.25 2.44 2.50 2.43 2.22 1.92 1.59 1.27 0.99 0.75 0.55 0.42 0.36 0.38 0.48 0.60 0.69 0.70 0.62 0.48 0.37 0.32 0.37 7.5 + 10.0 0.80 0.88 0.96 0.97 0.91 0.79 0.64 0.51 0.45 0.47 0.57 0.72 0.94 1.21 1.55 1.92 2.27 2.56 2.71 2.71 2.57 2.34 2.07 1.82 1.61 1.45 1.34 1.28 1.27 1.28 1.28 1.24 1.15 1.01 0.89 0.84 0.87 0.97 1.10 1.21 1.27 1.28 1.25 1.24 1.28 1.37 1.52 1.74 2.00 2.26 2.49 2.62 2.62 2.47 2.21 1.87 1.53 1.21 0.95 0.73 0.57 0.49 0.48 0.56 0.70 0.85 0.96 0.99 0.95 0.86 0.79 0.76 0.80 0.88 0.96 0.97 0.91 0.79 0.64 0.51 0.45 0.47 0.57 0.72 0.94 1.21 1.55 1.92 2.27 2.56 2.71 2.71 2.57 2.34 2.07 1.82 1.61 1.45 1.34 1.28 1.27 1.28 1.28 1.24 1.15 1.01 0.89 0.84 0.87 0.97 1.10 1.21 1.27 1.28 1.25 1.24 1.28 1.37 1.52 1.74 2.00 2.26 2.49 2.62 2.62 2.47 2.21 1.87 1.53 1.21 0.95 0.73 0.57 0.49 0.48 0.56 0.70 0.85 0.96 0.99 0.95 0.86 0.79 0.76 0.80 10.0 + 12.5 1.15 1.20 1.24 1.24 1.17 1.05 0.91 0.78 0.70 0.67 0.72 0.81 0.97 1.19 1.48 1.83 2.20 2.52 2.75 2.83 2.76 2.59 2.38 2.17 2.00 1.89 1.83 1.82 1.85 1.89 1.92 1.92 1.87 1.77 1.68 1.63 1.64 1.70 1.79 1.86 1.88 1.85 1.78 1.73 1.70 1.74 1.85 2.03 2.25 2.48 2.66 2.72 2.64 2.43 2.13 1.79 1.48 1.21 1.00 0.84 0.74 0.70 0.74 0.84 0.98 1.12 1.22 1.25 1.23 1.17 1.13 1.12 1.15 1.20 1.24 1.24 1.17 1.05 0.91 0.78 0.70 0.67 0.72 0.81 0.97 1.19 1.48 1.83 2.20 2.52 2.75 2.83 2.76 2.59 2.38 2.17 2.00 1.89 1.83 1.82 1.85 1.89 1.92 1.92 1.87 1.77 1.68 1.63 1.64 1.70 1.79 1.86 1.88 1.85 1.78 1.73 1.70 1.74 1.85 2.03 2.25 2.48 2.66 2.72 2.64 2.43 2.13 1.79 1.48 1.21 1.00 0.84 0.74 0.70 0.74 0.84 0.98 1.12 1.22 1.25 1.23 1.17 1.13 1.12 1.15 12.5 + 15.0 1.36 1.38 1.39 1.37 1.32 1.24 1.14 1.04 0.95 0.90 0.90 0.93 1.01 1.15 1.37 1.66 2.00 2.35 2.63 2.79 2.82 2.73 2.57 2.41 2.28 2.20 2.18 2.20 2.26 2.34 2.42 2.45 2.44 2.39 2.32 2.27 2.26 2.29 2.34 2.36 2.34 2.26 2.16 2.06 1.99 1.99 2.07 2.22 2.41 2.59 2.70 2.69 2.54 2.27 1.96 1.65 1.39 1.20 1.07 0.98 0.94 0.94 1.00 1.10 1.22 1.31 1.37 1.37 1.35 1.33 1.32 1.34 1.36 1.38 1.39 1.37 1.32 1.24 1.14 1.04 0.95 0.90 0.90 0.93 1.01 1.15 1.37 1.66 2.00 2.35 2.63 2.79 2.82 2.73 2.57 2.41 2.28 2.20 2.18 2.20 2.26 2.34 2.42 2.45 2.44 2.39 2.32 2.27 2.26 2.29 2.34 2.36 2.34 2.26 2.16 2.06 1.99 1.99 2.07 2.22 2.41 2.59 2.70 2.69 2.54 2.27 1.96 1.65 1.39 1.20 1.07 0.98 0.94 0.94 1.00 1.10 1.22 1.31 1.37 1.37 1.35 1.33 1.32 1.34 1.36 15.0 + 17.5 1.39 1.38 1.35 1.31 1.28 1.24 1.19 1.13 1.06 1.00 0.97 0.96 0.97 1.04 1.17 1.39 1.69 2.04 2.36 2.59 2.70 2.68 2.59 2.46 2.35 2.27 2.25 2.29 2.37 2.48 2.59 2.67 2.70 2.69 2.64 2.60 2.58 2.58 2.58 2.55 2.48 2.37 2.23 2.11 2.03 2.02 2.10 2.24 2.41 2.56 2.61 2.52 2.31 2.02 1.70 1.43 1.24 1.12 1.06 1.03 1.03 1.06 1.12 1.20 1.27 1.30 1.31 1.29 1.29 1.31 1.34 1.37 1.39 1.38 1.35 1.31 1.28 1.24 1.19 1.13 1.06 1.00 0.97 0.96 0.97 1.04 1.17 1.39 1.69 2.04 2.36 2.59 2.70 2.68 2.59 2.46 2.35 2.27 2.25 2.29 2.37 2.48 2.59 2.67 2.70 2.69 2.64 2.60 2.58 2.58 2.58 2.55 2.48 2.37 2.23 2.11 2.03 2.02 2.10 2.24 2.41 2.56 2.61 2.52 2.31 2.02 1.70 1.43 1.24 1.12 1.06 1.03 1.03 1.06 1.12 1.20 1.27 1.30 1.31 1.29 1.29 1.31 1.34 1.37 1.39 17.5 + 20.0 1.24 1.19 1.11 1.05 1.02 1.01 1.00 0.98 0.94 0.89 0.85 0.81 0.80 0.81 0.89 1.05 1.31 1.63 1.97 2.25 2.42 2.48 2.43 2.32 2.21 2.12 2.09 2.11 2.20 2.33 2.48 2.61 2.70 2.73 2.71 2.68 2.64 2.61 2.56 2.48 2.35 2.20 2.04 1.91 1.85 1.86 1.96 2.11 2.28 2.39 2.39 2.26 2.01 1.69 1.39 1.15 1.01 0.93 0.90 0.90 0.92 0.95 1.00 1.05 1.07 1.06 1.02 1.01 1.03 1.10 1.19 1.24 1.24 1.19 1.11 1.05 1.02 1.01 1.00 0.98 0.94 0.89 0.85 0.81 0.80 0.81 0.89 1.05 1.31 1.63 1.97 2.25 2.42 2.48 2.43 2.32 2.21 2.12 2.09 2.11 2.20 2.33 2.48 2.61 2.70 2.73 2.71 2.68 2.64 2.61 2.56 2.48 2.35 2.20 2.04 1.91 1.85 1.86 1.96 2.11 2.28 2.39 2.39 2.26 2.01 1.69 1.39 1.15 1.01 0.93 0.90 0.90 0.92 0.95 1.00 1.05 1.07 1.06 1.02 1.01 1.03 1.10 1.19 1.24 1.24 20.0 + 22.5 0.97 0.87 0.74 0.64 0.59 0.60 0.63 0.64 0.62 0.59 0.55 0.52 0.51 0.52 0.57 0.69 0.90 1.20 1.53 1.83 2.05 2.16 2.16 2.09 1.99 1.90 1.86 1.89 1.99 2.15 2.34 2.53 2.67 2.75 2.77 2.74 2.69 2.62 2.51 2.36 2.17 1.97 1.79 1.66 1.61 1.65 1.76 1.91 2.05 2.13 2.09 1.93 1.66 1.35 1.07 0.86 0.73 0.67 0.64 0.63 0.64 0.66 0.69 0.71 0.69 0.64 0.59 0.58 0.64 0.77 0.90 0.98 0.97 0.87 0.74 0.64 0.59 0.60 0.63 0.64 0.62 0.59 0.55 0.52 0.51 0.52 0.57 0.69 0.90 1.20 1.53 1.83 2.05 2.16 2.16 2.09 1.99 1.90 1.86 1.89 1.99 2.15 2.34 2.53 2.67 2.75 2.77 2.74 2.69 2.62 2.51 2.36 2.17 1.97 1.79 1.66 1.61 1.65 1.76 1.91 2.05 2.13 2.09 1.93 1.66 1.35 1.07 0.86 0.73 0.67 0.64 0.63 0.64 0.66 0.69 0.71 0.69 0.64 0.59 0.58 0.64 0.77 0.90 0.98 0.97 22.5 + 25.0 0.62 0.48 0.31 0.18 0.14 0.16 0.21 0.25 0.25 0.22 0.20 0.19 0.19 0.22 0.27 0.36 0.54 0.79 1.09 1.39 1.65 1.81 1.87 1.87 1.82 1.78 1.78 1.85 1.99 2.19 2.43 2.66 2.85 2.97 3.02 3.01 2.93 2.81 2.63 2.41 2.17 1.93 1.72 1.57 1.51 1.52 1.60 1.70 1.79 1.82 1.74 1.56 1.30 1.02 0.77 0.59 0.47 0.39 0.34 0.31 0.29 0.30 0.32 0.31 0.26 0.19 0.12 0.12 0.22 0.39 0.56 0.65 0.62 0.48 0.31 0.18 0.14 0.16 0.21 0.25 0.25 0.22 0.20 0.19 0.19 0.22 0.27 0.36 0.54 0.79 1.09 1.39 1.65 1.81 1.87 1.87 1.82 1.78 1.78 1.85 1.99 2.19 2.43 2.66 2.85 2.97 3.02 3.01 2.93 2.81 2.63 2.41 2.17 1.93 1.72 1.57 1.51 1.52 1.60 1.70 1.79 1.82 1.74 1.56 1.30 1.02 0.77 0.59 0.47 0.39 0.34 0.31 0.29 0.30 0.32 0.31 0.26 0.19 0.12 0.12 0.22 0.39 0.56 0.65 0.62 25.0 + 27.5 0.27 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.11 0.23 0.43 0.68 0.97 1.24 1.46 1.62 1.71 1.77 1.83 1.92 2.07 2.27 2.52 2.79 3.05 3.27 3.42 3.48 3.47 3.37 3.20 2.97 2.69 2.40 2.13 1.90 1.72 1.60 1.55 1.54 1.54 1.54 1.49 1.37 1.18 0.95 0.71 0.51 0.36 0.26 0.17 0.09 0.04 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.22 0.32 0.27 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.11 0.23 0.43 0.68 0.97 1.24 1.46 1.62 1.71 1.77 1.83 1.92 2.07 2.27 2.52 2.79 3.05 3.27 3.42 3.48 3.47 3.37 3.20 2.97 2.69 2.40 2.13 1.90 1.72 1.60 1.55 1.54 1.54 1.54 1.49 1.37 1.18 0.95 0.71 0.51 0.36 0.26 0.17 0.09 0.04 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.22 0.32 0.27 27.5 + 30.0 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.15 0.35 0.61 0.89 1.16 1.39 1.59 1.78 1.97 2.17 2.41 2.67 2.95 3.22 3.48 3.69 3.84 3.91 3.88 3.76 3.56 3.30 3.01 2.71 2.43 2.19 1.98 1.80 1.65 1.52 1.41 1.30 1.17 1.01 0.82 0.62 0.44 0.30 0.19 0.10 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.15 0.35 0.61 0.89 1.16 1.39 1.59 1.78 1.97 2.17 2.41 2.67 2.95 3.22 3.48 3.69 3.84 3.91 3.88 3.76 3.56 3.30 3.01 2.71 2.43 2.19 1.98 1.80 1.65 1.52 1.41 1.30 1.17 1.01 0.82 0.62 0.44 0.30 0.19 0.10 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.02 30.0 + 32.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.36 0.63 0.92 1.20 1.47 1.74 2.03 2.32 2.62 2.90 3.17 3.40 3.61 3.78 3.90 3.96 3.92 3.79 3.59 3.33 3.06 2.81 2.58 2.36 2.15 1.92 1.69 1.47 1.26 1.07 0.90 0.72 0.54 0.38 0.24 0.13 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.36 0.63 0.92 1.20 1.47 1.74 2.03 2.32 2.62 2.90 3.17 3.40 3.61 3.78 3.90 3.96 3.92 3.79 3.59 3.33 3.06 2.81 2.58 2.36 2.15 1.92 1.69 1.47 1.26 1.07 0.90 0.72 0.54 0.38 0.24 0.13 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 32.5 + 35.0 0.06 0.00 0.00 0.00 0.00 0.00 0.04 0.08 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.52 0.78 1.04 1.30 1.58 1.89 2.20 2.50 2.75 2.95 3.10 3.23 3.34 3.42 3.46 3.42 3.30 3.11 2.90 2.69 2.52 2.37 2.23 2.06 1.84 1.59 1.33 1.10 0.90 0.74 0.58 0.43 0.28 0.15 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.11 0.06 0.00 0.00 0.00 0.00 0.00 0.04 0.08 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.52 0.78 1.04 1.30 1.58 1.89 2.20 2.50 2.75 2.95 3.10 3.23 3.34 3.42 3.46 3.42 3.30 3.11 2.90 2.69 2.52 2.37 2.23 2.06 1.84 1.59 1.33 1.10 0.90 0.74 0.58 0.43 0.28 0.15 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.11 0.06 35.0 + 37.5 0.34 0.24 0.15 0.11 0.15 0.22 0.29 0.30 0.24 0.13 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.36 0.57 0.76 0.93 1.11 1.31 1.55 1.81 2.04 2.22 2.31 2.36 2.39 2.44 2.50 2.54 2.52 2.42 2.26 2.09 1.95 1.87 1.84 1.81 1.72 1.56 1.35 1.13 0.95 0.82 0.73 0.64 0.52 0.36 0.20 0.06 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.13 0.17 0.16 0.13 0.10 0.10 0.17 0.27 0.35 0.38 0.34 0.24 0.15 0.11 0.15 0.22 0.29 0.30 0.24 0.13 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.36 0.57 0.76 0.93 1.11 1.31 1.55 1.81 2.04 2.22 2.31 2.36 2.39 2.44 2.50 2.54 2.52 2.42 2.26 2.09 1.95 1.87 1.84 1.81 1.72 1.56 1.35 1.13 0.95 0.82 0.73 0.64 0.52 0.36 0.20 0.06 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.13 0.17 0.16 0.13 0.10 0.10 0.17 0.27 0.35 0.38 0.34 37.5 + 40.0 0.64 0.57 0.49 0.46 0.46 0.49 0.50 0.48 0.42 0.33 0.23 0.13 0.04 0.00 0.00 0.00 0.00 0.12 0.35 0.57 0.74 0.84 0.88 0.91 0.99 1.13 1.29 1.44 1.51 1.50 1.44 1.40 1.42 1.49 1.56 1.58 1.51 1.37 1.21 1.12 1.11 1.18 1.26 1.27 1.20 1.06 0.92 0.83 0.81 0.83 0.83 0.75 0.58 0.36 0.15 0.01 0.00 0.00 0.05 0.13 0.20 0.25 0.29 0.32 0.34 0.37 0.41 0.47 0.55 0.63 0.69 0.69 0.64 0.57 0.49 0.46 0.46 0.49 0.50 0.48 0.42 0.33 0.23 0.13 0.04 0.00 0.00 0.00 0.00 0.12 0.35 0.57 0.74 0.84 0.88 0.91 0.99 1.13 1.29 1.44 1.51 1.50 1.44 1.40 1.42 1.49 1.56 1.58 1.51 1.37 1.21 1.12 1.11 1.18 1.26 1.27 1.20 1.06 0.92 0.83 0.81 0.83 0.83 0.75 0.58 0.36 0.15 0.01 0.00 0.00 0.05 0.13 0.20 0.25 0.29 0.32 0.34 0.37 0.41 0.47 0.55 0.63 0.69 0.69 0.64 40.0 + 42.5 0.81 0.76 0.73 0.70 0.68 0.65 0.62 0.58 0.55 0.51 0.47 0.39 0.27 0.13 0.01 0.00 0.06 0.27 0.54 0.78 0.91 0.91 0.82 0.71 0.67 0.72 0.82 0.90 0.89 0.80 0.67 0.60 0.63 0.75 0.89 0.97 0.92 0.77 0.58 0.47 0.49 0.62 0.78 0.88 0.88 0.80 0.72 0.72 0.81 0.94 1.03 0.99 0.81 0.52 0.24 0.05 0.00 0.08 0.23 0.36 0.44 0.46 0.45 0.44 0.46 0.53 0.64 0.74 0.83 0.88 0.89 0.86 0.81 0.76 0.73 0.70 0.68 0.65 0.62 0.58 0.55 0.51 0.47 0.39 0.27 0.13 0.01 0.00 0.06 0.27 0.54 0.78 0.91 0.91 0.82 0.71 0.67 0.72 0.82 0.90 0.89 0.80 0.67 0.60 0.63 0.75 0.89 0.97 0.92 0.77 0.58 0.47 0.49 0.62 0.78 0.88 0.88 0.80 0.72 0.72 0.81 0.94 1.03 0.99 0.81 0.52 0.24 0.05 0.00 0.08 0.23 0.36 0.44 0.46 0.45 0.44 0.46 0.53 0.64 0.74 0.83 0.88 0.89 0.86 0.81 42.5 + 45.0 0.72 0.72 0.75 0.76 0.73 0.67 0.60 0.56 0.58 0.64 0.69 0.66 0.53 0.33 0.12 0.02 0.09 0.31 0.61 0.86 0.95 0.86 0.67 0.47 0.37 0.39 0.48 0.55 0.51 0.37 0.21 0.14 0.23 0.44 0.68 0.82 0.78 0.58 0.32 0.14 0.13 0.27 0.47 0.62 0.65 0.59 0.53 0.55 0.70 0.91 1.08 1.09 0.90 0.58 0.26 0.05 0.04 0.20 0.44 0.64 0.72 0.68 0.58 0.49 0.49 0.57 0.71 0.84 0.91 0.90 0.83 0.76 0.72 0.72 0.75 0.76 0.73 0.67 0.60 0.56 0.58 0.64 0.69 0.66 0.53 0.33 0.12 0.02 0.09 0.31 0.61 0.86 0.95 0.86 0.67 0.47 0.37 0.39 0.48 0.55 0.51 0.37 0.21 0.14 0.23 0.44 0.68 0.82 0.78 0.58 0.32 0.14 0.13 0.27 0.47 0.62 0.65 0.59 0.53 0.55 0.70 0.91 1.08 1.09 0.90 0.58 0.26 0.05 0.04 0.20 0.44 0.64 0.72 0.68 0.58 0.49 0.49 0.57 0.71 0.84 0.91 0.90 0.83 0.76 0.72 45.0 + 47.5 0.38 0.44 0.55 0.62 0.62 0.54 0.45 0.43 0.52 0.69 0.85 0.90 0.78 0.52 0.22 0.03 0.04 0.23 0.52 0.74 0.79 0.64 0.39 0.16 0.07 0.13 0.27 0.36 0.34 0.19 0.04 0.00 0.15 0.46 0.79 0.99 0.95 0.68 0.33 0.05 0.00 0.09 0.30 0.46 0.49 0.41 0.30 0.29 0.44 0.68 0.90 0.96 0.80 0.49 0.16 0.00 0.05 0.31 0.65 0.91 0.98 0.87 0.65 0.47 0.40 0.48 0.62 0.74 0.76 0.67 0.52 0.41 0.38 0.44 0.55 0.62 0.62 0.54 0.45 0.43 0.52 0.69 0.85 0.90 0.78 0.52 0.22 0.03 0.04 0.23 0.52 0.74 0.79 0.64 0.39 0.16 0.07 0.13 0.27 0.36 0.34 0.19 0.04 0.00 0.15 0.46 0.79 0.99 0.95 0.68 0.33 0.05 0.00 0.09 0.30 0.46 0.49 0.41 0.30 0.29 0.44 0.68 0.90 0.96 0.80 0.49 0.16 0.00 0.05 0.31 0.65 0.91 0.98 0.87 0.65 0.47 0.40 0.48 0.62 0.74 0.76 0.67 0.52 0.41 0.38 47.5 + 50.0 0.00 0.06 0.26 0.40 0.41 0.32 0.22 0.22 0.38 0.66 0.94 1.08 0.99 0.68 0.31 0.02 0.00 0.08 0.31 0.50 0.50 0.31 0.04 0.00 0.00 0.00 0.11 0.27 0.27 0.14 0.00 0.00 0.20 0.59 1.00 1.24 1.18 0.86 0.41 0.04 0.00 0.00 0.19 0.36 0.36 0.22 0.04 0.00 0.06 0.30 0.55 0.66 0.56 0.29 0.00 0.00 0.03 0.40 0.83 1.13 1.19 0.99 0.66 0.37 0.24 0.28 0.42 0.52 0.49 0.32 0.09 0.00 0.00 0.06 0.26 0.40 0.41 0.32 0.22 0.22 0.38 0.66 0.94 1.08 0.99 0.68 0.31 0.02 0.00 0.08 0.31 0.50 0.50 0.31 0.04 0.00 0.00 0.00 0.11 0.27 0.27 0.14 0.00 0.00 0.20 0.59 1.00 1.24 1.18 0.86 0.41 0.04 0.00 0.00 0.19 0.36 0.36 0.22 0.04 0.00 0.06 0.30 0.55 0.66 0.56 0.29 0.00 0.00 0.03 0.40 0.83 1.13 1.19 0.99 0.66 0.37 0.24 0.28 0.42 0.52 0.49 0.32 0.09 0.00 0.00 50.0 + 52.5 0.00 0.00 0.04 0.23 0.25 0.13 0.00 0.00 0.20 0.57 0.96 1.18 1.13 0.83 0.40 0.04 0.00 0.00 0.15 0.28 0.24 0.03 0.00 0.00 0.00 0.00 0.01 0.21 0.24 0.12 0.00 0.00 0.23 0.66 1.10 1.35 1.29 0.93 0.43 0.02 0.00 0.00 0.11 0.28 0.27 0.08 0.00 0.00 0.00 0.00 0.21 0.36 0.31 0.10 0.00 0.00 0.04 0.47 0.96 1.28 1.30 1.03 0.61 0.23 0.05 0.07 0.21 0.30 0.24 0.02 0.00 0.00 0.00 0.00 0.04 0.23 0.25 0.13 0.00 0.00 0.20 0.57 0.96 1.18 1.13 0.83 0.40 0.04 0.00 0.00 0.15 0.28 0.24 0.03 0.00 0.00 0.00 0.00 0.01 0.21 0.24 0.12 0.00 0.00 0.23 0.66 1.10 1.35 1.29 0.93 0.43 0.02 0.00 0.00 0.11 0.28 0.27 0.08 0.00 0.00 0.00 0.00 0.21 0.36 0.31 0.10 0.00 0.00 0.04 0.47 0.96 1.28 1.30 1.03 0.61 0.23 0.05 0.07 0.21 0.30 0.24 0.02 0.00 0.00 0.00 52.5 + 55.0 0.00 0.00 0.04 0.23 0.23 0.07 0.00 0.00 0.06 0.47 0.93 1.22 1.23 0.95 0.52 0.14 0.00 0.00 0.12 0.22 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.23 0.12 0.00 0.00 0.23 0.64 1.06 1.31 1.24 0.88 0.39 0.00 0.00 0.00 0.10 0.27 0.25 0.05 0.00 0.00 0.00 0.00 0.02 0.20 0.20 0.04 0.00 0.00 0.09 0.55 1.04 1.35 1.33 1.01 0.53 0.11 0.00 0.00 0.09 0.20 0.15 0.00 0.00 0.00 0.00 0.00 0.04 0.23 0.23 0.07 0.00 0.00 0.06 0.47 0.93 1.22 1.23 0.95 0.52 0.14 0.00 0.00 0.12 0.22 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.23 0.12 0.00 0.00 0.23 0.64 1.06 1.31 1.24 0.88 0.39 0.00 0.00 0.00 0.10 0.27 0.25 0.05 0.00 0.00 0.00 0.00 0.02 0.20 0.20 0.04 0.00 0.00 0.09 0.55 1.04 1.35 1.33 1.01 0.53 0.11 0.00 0.00 0.09 0.20 0.15 0.00 0.00 0.00 0.00 55.0 + 57.5 0.00 0.00 0.27 0.43 0.38 0.15 0.00 0.00 0.01 0.42 0.89 1.21 1.26 1.03 0.64 0.28 0.10 0.12 0.26 0.35 0.30 0.10 0.00 0.00 0.00 0.00 0.08 0.26 0.30 0.19 0.07 0.07 0.26 0.61 0.97 1.18 1.11 0.80 0.37 0.01 0.00 0.00 0.17 0.34 0.33 0.14 0.00 0.00 0.00 0.00 0.02 0.21 0.23 0.11 0.00 0.00 0.18 0.60 1.05 1.33 1.29 0.95 0.47 0.05 0.00 0.00 0.11 0.27 0.26 0.08 0.00 0.00 0.00 0.00 0.27 0.43 0.38 0.15 0.00 0.00 0.01 0.42 0.89 1.21 1.26 1.03 0.64 0.28 0.10 0.12 0.26 0.35 0.30 0.10 0.00 0.00 0.00 0.00 0.08 0.26 0.30 0.19 0.07 0.07 0.26 0.61 0.97 1.18 1.11 0.80 0.37 0.01 0.00 0.00 0.17 0.34 0.33 0.14 0.00 0.00 0.00 0.00 0.02 0.21 0.23 0.11 0.00 0.00 0.18 0.60 1.05 1.33 1.29 0.95 0.47 0.05 0.00 0.00 0.11 0.27 0.26 0.08 0.00 0.00 0.00 57.5 + 60.0 0.16 0.37 0.60 0.71 0.61 0.34 0.05 0.00 0.06 0.42 0.85 1.16 1.22 1.03 0.69 0.38 0.24 0.28 0.42 0.53 0.51 0.34 0.11 0.00 0.00 0.03 0.22 0.37 0.40 0.33 0.22 0.21 0.34 0.60 0.88 1.03 0.98 0.73 0.39 0.11 0.02 0.12 0.31 0.46 0.45 0.27 0.01 0.00 0.00 0.00 0.12 0.29 0.31 0.20 0.06 0.04 0.23 0.59 0.99 1.22 1.18 0.87 0.43 0.07 0.00 0.01 0.24 0.43 0.48 0.37 0.19 0.09 0.16 0.37 0.60 0.71 0.61 0.34 0.05 0.00 0.06 0.42 0.85 1.16 1.22 1.03 0.69 0.38 0.24 0.28 0.42 0.53 0.51 0.34 0.11 0.00 0.00 0.03 0.22 0.37 0.40 0.33 0.22 0.21 0.34 0.60 0.88 1.03 0.98 0.73 0.39 0.11 0.02 0.12 0.31 0.46 0.45 0.27 0.01 0.00 0.00 0.00 0.12 0.29 0.31 0.20 0.06 0.04 0.23 0.59 0.99 1.22 1.18 0.87 0.43 0.07 0.00 0.01 0.24 0.43 0.48 0.37 0.19 0.09 0.16 60.0 + 62.5 0.50 0.68 0.86 0.92 0.79 0.51 0.22 0.08 0.16 0.45 0.80 1.06 1.09 0.91 0.62 0.36 0.24 0.30 0.46 0.59 0.61 0.49 0.29 0.12 0.06 0.14 0.28 0.41 0.47 0.43 0.36 0.34 0.42 0.59 0.78 0.88 0.84 0.66 0.42 0.23 0.19 0.28 0.43 0.54 0.52 0.36 0.12 0.00 0.00 0.00 0.17 0.30 0.31 0.20 0.06 0.03 0.17 0.47 0.81 1.03 1.01 0.77 0.42 0.13 0.03 0.15 0.38 0.59 0.67 0.61 0.49 0.43 0.50 0.68 0.86 0.92 0.79 0.51 0.22 0.08 0.16 0.45 0.80 1.06 1.09 0.91 0.62 0.36 0.24 0.30 0.46 0.59 0.61 0.49 0.29 0.12 0.06 0.14 0.28 0.41 0.47 0.43 0.36 0.34 0.42 0.59 0.78 0.88 0.84 0.66 0.42 0.23 0.19 0.28 0.43 0.54 0.52 0.36 0.12 0.00 0.00 0.00 0.17 0.30 0.31 0.20 0.06 0.03 0.17 0.47 0.81 1.03 1.01 0.77 0.42 0.13 0.03 0.15 0.38 0.59 0.67 0.61 0.49 0.43 0.50 62.5 + 65.0 0.63 0.77 0.91 0.94 0.81 0.57 0.33 0.20 0.25 0.47 0.73 0.90 0.89 0.70 0.43 0.19 0.09 0.16 0.31 0.46 0.51 0.42 0.26 0.10 0.03 0.07 0.19 0.33 0.41 0.42 0.38 0.36 0.40 0.50 0.62 0.69 0.67 0.56 0.41 0.30 0.28 0.35 0.47 0.54 0.50 0.34 0.14 0.00 0.00 0.00 0.14 0.23 0.22 0.11 0.00 0.00 0.03 0.28 0.58 0.78 0.81 0.65 0.40 0.20 0.15 0.27 0.48 0.67 0.74 0.70 0.62 0.57 0.63 0.77 0.91 0.94 0.81 0.57 0.33 0.20 0.25 0.47 0.73 0.90 0.89 0.70 0.43 0.19 0.09 0.16 0.31 0.46 0.51 0.42 0.26 0.10 0.03 0.07 0.19 0.33 0.41 0.42 0.38 0.36 0.40 0.50 0.62 0.69 0.67 0.56 0.41 0.30 0.28 0.35 0.47 0.54 0.50 0.34 0.14 0.00 0.00 0.00 0.14 0.23 0.22 0.11 0.00 0.00 0.03 0.28 0.58 0.78 0.81 0.65 0.40 0.20 0.15 0.27 0.48 0.67 0.74 0.70 0.62 0.57 0.63 65.0 + 67.5 0.58 0.68 0.78 0.80 0.70 0.52 0.34 0.25 0.30 0.45 0.63 0.73 0.68 0.48 0.21 0.00 0.00 0.00 0.09 0.24 0.30 0.24 0.09 0.00 0.00 0.00 0.01 0.16 0.26 0.30 0.29 0.27 0.29 0.35 0.45 0.52 0.54 0.48 0.39 0.32 0.32 0.38 0.47 0.51 0.47 0.34 0.17 0.03 0.00 0.06 0.17 0.24 0.21 0.09 0.00 0.00 0.00 0.13 0.39 0.58 0.64 0.55 0.39 0.27 0.26 0.36 0.53 0.66 0.70 0.66 0.58 0.54 0.58 0.68 0.78 0.80 0.70 0.52 0.34 0.25 0.30 0.45 0.63 0.73 0.68 0.48 0.21 0.00 0.00 0.00 0.09 0.24 0.30 0.24 0.09 0.00 0.00 0.00 0.01 0.16 0.26 0.30 0.29 0.27 0.29 0.35 0.45 0.52 0.54 0.48 0.39 0.32 0.32 0.38 0.47 0.51 0.47 0.34 0.17 0.03 0.00 0.06 0.17 0.24 0.21 0.09 0.00 0.00 0.00 0.13 0.39 0.58 0.64 0.55 0.39 0.27 0.26 0.36 0.53 0.66 0.70 0.66 0.58 0.54 0.58 67.5 + 70.0 0.48 0.55 0.62 0.63 0.56 0.44 0.32 0.26 0.30 0.42 0.55 0.61 0.55 0.35 0.10 0.00 0.00 0.00 0.00 0.15 0.23 0.19 0.05 0.00 0.00 0.00 0.00 0.08 0.20 0.24 0.23 0.20 0.22 0.30 0.42 0.53 0.58 0.57 0.50 0.44 0.44 0.49 0.58 0.64 0.63 0.53 0.41 0.33 0.33 0.42 0.54 0.60 0.54 0.37 0.17 0.04 0.04 0.18 0.38 0.54 0.60 0.55 0.45 0.37 0.38 0.47 0.59 0.67 0.67 0.61 0.52 0.47 0.48 0.55 0.62 0.63 0.56 0.44 0.32 0.26 0.30 0.42 0.55 0.61 0.55 0.35 0.10 0.00 0.00 0.00 0.00 0.15 0.23 0.19 0.05 0.00 0.00 0.00 0.00 0.08 0.20 0.24 0.23 0.20 0.22 0.30 0.42 0.53 0.58 0.57 0.50 0.44 0.44 0.49 0.58 0.64 0.63 0.53 0.41 0.33 0.33 0.42 0.54 0.60 0.54 0.37 0.17 0.04 0.04 0.18 0.38 0.54 0.60 0.55 0.45 0.37 0.38 0.47 0.59 0.67 0.67 0.61 0.52 0.47 0.48 70.0 + 72.5 0.52 0.55 0.59 0.59 0.53 0.44 0.34 0.29 0.32 0.41 0.53 0.60 0.57 0.42 0.21 0.02 0.00 0.03 0.21 0.42 0.54 0.52 0.37 0.19 0.07 0.07 0.17 0.31 0.41 0.43 0.38 0.34 0.37 0.49 0.68 0.85 0.95 0.95 0.87 0.78 0.76 0.82 0.94 1.05 1.10 1.07 1.02 1.01 1.10 1.25 1.41 1.46 1.35 1.10 0.80 0.56 0.46 0.52 0.64 0.75 0.77 0.70 0.60 0.54 0.56 0.64 0.74 0.80 0.78 0.70 0.60 0.53 0.52 0.55 0.59 0.59 0.53 0.44 0.34 0.29 0.32 0.41 0.53 0.60 0.57 0.42 0.21 0.02 0.00 0.03 0.21 0.42 0.54 0.52 0.37 0.19 0.07 0.07 0.17 0.31 0.41 0.43 0.38 0.34 0.37 0.49 0.68 0.85 0.95 0.95 0.87 0.78 0.76 0.82 0.94 1.05 1.10 1.07 1.02 1.01 1.10 1.25 1.41 1.46 1.35 1.10 0.80 0.56 0.46 0.52 0.64 0.75 0.77 0.70 0.60 0.54 0.56 0.64 0.74 0.80 0.78 0.70 0.60 0.53 0.52 72.5 + 75.0 0.73 0.73 0.74 0.73 0.66 0.56 0.45 0.36 0.36 0.44 0.57 0.69 0.73 0.65 0.49 0.35 0.32 0.46 0.74 1.04 1.25 1.28 1.14 0.92 0.75 0.70 0.77 0.87 0.94 0.90 0.81 0.74 0.79 0.97 1.24 1.49 1.62 1.60 1.47 1.33 1.28 1.35 1.52 1.70 1.82 1.88 1.92 2.01 2.21 2.47 2.68 2.73 2.55 2.17 1.71 1.33 1.12 1.08 1.13 1.16 1.11 0.98 0.84 0.76 0.79 0.89 1.01 1.07 1.05 0.96 0.85 0.77 0.73 0.73 0.74 0.73 0.66 0.56 0.45 0.36 0.36 0.44 0.57 0.69 0.73 0.65 0.49 0.35 0.32 0.46 0.74 1.04 1.25 1.28 1.14 0.92 0.75 0.70 0.77 0.87 0.94 0.90 0.81 0.74 0.79 0.97 1.24 1.49 1.62 1.60 1.47 1.33 1.28 1.35 1.52 1.70 1.82 1.88 1.92 2.01 2.21 2.47 2.68 2.73 2.55 2.17 1.71 1.33 1.12 1.08 1.13 1.16 1.11 0.98 0.84 0.76 0.79 0.89 1.01 1.07 1.05 0.96 0.85 0.77 0.73 75.0 + 77.5 1.01 0.99 0.99 0.97 0.90 0.77 0.61 0.47 0.41 0.47 0.63 0.81 0.93 0.92 0.81 0.69 0.71 0.93 1.34 1.80 2.14 2.26 2.13 1.87 1.63 1.51 1.53 1.59 1.60 1.51 1.36 1.25 1.30 1.53 1.87 2.19 2.34 2.29 2.08 1.87 1.77 1.85 2.07 2.32 2.53 2.67 2.80 3.01 3.33 3.71 4.01 4.06 3.78 3.25 2.61 2.07 1.74 1.63 1.64 1.62 1.51 1.30 1.10 0.99 1.02 1.15 1.30 1.39 1.39 1.30 1.17 1.07 1.01 0.99 0.99 0.97 0.90 0.77 0.61 0.47 0.41 0.47 0.63 0.81 0.93 0.92 0.81 0.69 0.71 0.93 1.34 1.80 2.14 2.26 2.13 1.87 1.63 1.51 1.53 1.59 1.60 1.51 1.36 1.25 1.30 1.53 1.87 2.19 2.34 2.29 2.08 1.87 1.77 1.85 2.07 2.32 2.53 2.67 2.80 3.01 3.33 3.71 4.01 4.06 3.78 3.25 2.61 2.07 1.74 1.63 1.64 1.62 1.51 1.30 1.10 0.99 1.02 1.15 1.30 1.39 1.39 1.30 1.17 1.07 1.01 77.5 + 80.0 1.15 1.14 1.16 1.17 1.11 0.96 0.76 0.55 0.43 0.46 0.64 0.88 1.05 1.08 0.98 0.85 0.88 1.18 1.72 2.36 2.88 3.10 3.00 2.69 2.37 2.17 2.11 2.13 2.09 1.93 1.71 1.56 1.59 1.85 2.25 2.61 2.76 2.66 2.38 2.08 1.94 2.03 2.29 2.61 2.88 3.08 3.28 3.60 4.05 4.55 4.93 4.98 4.61 3.92 3.11 2.43 2.04 1.92 1.94 1.92 1.78 1.51 1.25 1.10 1.13 1.30 1.50 1.63 1.63 1.52 1.37 1.23 1.15 1.14 1.16 1.17 1.11 0.96 0.76 0.55 0.43 0.46 0.64 0.88 1.05 1.08 0.98 0.85 0.88 1.18 1.72 2.36 2.88 3.10 3.00 2.69 2.37 2.17 2.11 2.13 2.09 1.93 1.71 1.56 1.59 1.85 2.25 2.61 2.76 2.66 2.38 2.08 1.94 2.03 2.29 2.61 2.88 3.08 3.28 3.60 4.05 4.55 4.93 4.98 4.61 3.92 3.11 2.43 2.04 1.92 1.94 1.92 1.78 1.51 1.25 1.10 1.13 1.30 1.50 1.63 1.63 1.52 1.37 1.23 1.15 80.0 + 82.5 1.03 1.04 1.11 1.18 1.17 1.05 0.81 0.55 0.38 0.38 0.57 0.84 1.04 1.07 0.91 0.73 0.72 1.05 1.72 2.52 3.21 3.54 3.47 3.12 2.70 2.40 2.27 2.23 2.14 1.93 1.65 1.44 1.44 1.71 2.13 2.51 2.65 2.51 2.16 1.80 1.63 1.71 2.01 2.37 2.68 2.92 3.18 3.56 4.11 4.72 5.17 5.22 4.78 3.95 3.01 2.24 1.84 1.77 1.87 1.93 1.80 1.52 1.22 1.04 1.08 1.27 1.50 1.65 1.65 1.51 1.30 1.12 1.03 1.04 1.11 1.18 1.17 1.05 0.81 0.55 0.38 0.38 0.57 0.84 1.04 1.07 0.91 0.73 0.72 1.05 1.72 2.52 3.21 3.54 3.47 3.12 2.70 2.40 2.27 2.23 2.14 1.93 1.65 1.44 1.44 1.71 2.13 2.51 2.65 2.51 2.16 1.80 1.63 1.71 2.01 2.37 2.68 2.92 3.18 3.56 4.11 4.72 5.17 5.22 4.78 3.95 3.01 2.24 1.84 1.77 1.87 1.93 1.80 1.52 1.22 1.04 1.08 1.27 1.50 1.65 1.65 1.51 1.30 1.12 1.03 82.5 + 85.0 0.69 0.73 0.87 1.03 1.10 1.02 0.79 0.51 0.30 0.28 0.46 0.74 0.94 0.93 0.70 0.42 0.35 0.68 1.41 2.35 3.17 3.60 3.55 3.15 2.64 2.23 2.02 1.92 1.79 1.53 1.20 0.94 0.90 1.15 1.58 1.96 2.11 1.94 1.55 1.15 0.95 1.04 1.36 1.75 2.08 2.33 2.60 3.02 3.62 4.30 4.79 4.84 4.35 3.43 2.41 1.61 1.23 1.26 1.48 1.64 1.58 1.32 1.01 0.82 0.86 1.07 1.32 1.48 1.46 1.27 1.02 0.79 0.69 0.73 0.87 1.03 1.10 1.02 0.79 0.51 0.30 0.28 0.46 0.74 0.94 0.93 0.70 0.42 0.35 0.68 1.41 2.35 3.17 3.60 3.55 3.15 2.64 2.23 2.02 1.92 1.79 1.53 1.20 0.94 0.90 1.15 1.58 1.96 2.11 1.94 1.55 1.15 0.95 1.04 1.36 1.75 2.08 2.33 2.60 3.02 3.62 4.30 4.79 4.84 4.35 3.43 2.41 1.61 1.23 1.26 1.48 1.64 1.58 1.32 1.01 0.82 0.86 1.07 1.32 1.48 1.46 1.27 1.02 0.79 0.69 85.0 + 87.5 0.33 0.40 0.61 0.85 1.00 0.98 0.78 0.49 0.26 0.22 0.41 0.69 0.88 0.83 0.53 0.17 0.04 0.35 1.12 2.14 3.05 3.55 3.51 3.05 2.45 1.96 1.66 1.50 1.33 1.04 0.67 0.36 0.30 0.53 0.95 1.34 1.49 1.32 0.91 0.50 0.29 0.38 0.71 1.11 1.44 1.68 1.93 2.34 2.95 3.65 4.16 4.20 3.68 2.72 1.66 0.86 0.53 0.65 0.98 1.24 1.25 1.02 0.72 0.53 0.57 0.79 1.06 1.23 1.19 0.98 0.68 0.44 0.33 0.40 0.61 0.85 1.00 0.98 0.78 0.49 0.26 0.22 0.41 0.69 0.88 0.83 0.53 0.17 0.04 0.35 1.12 2.14 3.05 3.55 3.51 3.05 2.45 1.96 1.66 1.50 1.33 1.04 0.67 0.36 0.30 0.53 0.95 1.34 1.49 1.32 0.91 0.50 0.29 0.38 0.71 1.11 1.44 1.68 1.93 2.34 2.95 3.65 4.16 4.20 3.68 2.72 1.66 0.86 0.53 0.65 0.98 1.24 1.25 1.02 0.72 0.53 0.57 0.79 1.06 1.23 1.19 0.98 0.68 0.44 0.33 87.5 + 90.0 0.18 0.27 0.52 0.81 1.01 1.03 0.86 0.58 0.35 0.31 0.49 0.78 0.98 0.92 0.61 0.23 0.07 0.37 1.17 2.23 3.18 3.71 3.67 3.17 2.51 1.93 1.57 1.36 1.15 0.83 0.44 0.11 0.02 0.24 0.66 1.06 1.23 1.06 0.66 0.24 0.02 0.11 0.44 0.83 1.15 1.36 1.57 1.93 2.51 3.17 3.67 3.71 3.18 2.23 1.17 0.37 0.07 0.23 0.61 0.92 0.98 0.78 0.49 0.31 0.35 0.58 0.86 1.03 1.01 0.81 0.52 0.27 0.18 0.27 0.52 0.81 1.01 1.03 0.86 0.58 0.35 0.31 0.49 0.78 0.98 0.92 0.61 0.23 0.07 0.37 1.17 2.23 3.18 3.71 3.67 3.17 2.51 1.93 1.57 1.36 1.15 0.83 0.44 0.11 0.02 0.24 0.66 1.06 1.23 1.06 0.66 0.24 0.02 0.11 0.44 0.83 1.15 1.36 1.57 1.93 2.51 3.17 3.67 3.71 3.18 2.23 1.17 0.37 0.07 0.23 0.61 0.92 0.98 0.78 0.49 0.31 0.35 0.58 0.86 1.03 1.01 0.81 0.52 0.27 0.18 90.0 + + 50.0 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.66 ) PHI2 = 50. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.0 + 2.5 0.00 0.09 0.28 0.37 0.38 0.37 0.39 0.49 0.64 0.84 1.05 1.27 1.51 1.77 2.01 2.19 2.28 2.23 2.08 1.86 1.62 1.38 1.15 0.93 0.73 0.56 0.44 0.40 0.38 0.35 0.24 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.24 0.36 0.39 0.41 0.45 0.56 0.73 0.93 1.15 1.37 1.61 1.85 2.07 2.22 2.26 2.18 2.00 1.76 1.51 1.27 1.05 0.84 0.64 0.49 0.40 0.38 0.39 0.38 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.37 0.38 0.37 0.39 0.49 0.64 0.84 1.05 1.27 1.51 1.77 2.01 2.19 2.28 2.23 2.08 1.86 1.62 1.38 1.15 0.93 0.73 0.56 0.44 0.40 0.38 0.35 0.24 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.24 0.36 0.39 0.41 0.45 0.56 0.73 0.93 1.15 1.37 1.61 1.85 2.07 2.22 2.26 2.18 2.00 1.76 1.51 1.27 1.05 0.84 0.64 0.49 0.40 0.38 0.39 0.38 0.28 0.09 0.00 0.00 0.00 0.00 0.00 2.5 + 5.0 0.12 0.30 0.43 0.46 0.42 0.35 0.33 0.38 0.50 0.68 0.89 1.13 1.40 1.70 2.00 2.24 2.38 2.39 2.26 2.05 1.78 1.52 1.27 1.03 0.82 0.65 0.54 0.48 0.47 0.43 0.34 0.17 0.00 0.00 0.00 0.00 0.00 0.17 0.35 0.46 0.50 0.51 0.55 0.65 0.81 1.01 1.24 1.50 1.76 2.01 2.22 2.33 2.33 2.19 1.96 1.67 1.39 1.12 0.88 0.67 0.50 0.39 0.36 0.39 0.46 0.49 0.44 0.30 0.12 0.00 0.00 0.00 0.12 0.30 0.43 0.46 0.42 0.35 0.33 0.38 0.50 0.68 0.89 1.13 1.40 1.70 2.00 2.24 2.38 2.39 2.26 2.05 1.78 1.52 1.27 1.03 0.82 0.65 0.54 0.48 0.47 0.43 0.34 0.17 0.00 0.00 0.00 0.00 0.00 0.17 0.35 0.46 0.50 0.51 0.55 0.65 0.81 1.01 1.24 1.50 1.76 2.01 2.22 2.33 2.33 2.19 1.96 1.67 1.39 1.12 0.88 0.67 0.50 0.39 0.36 0.39 0.46 0.49 0.44 0.30 0.12 0.00 0.00 0.00 0.12 5.0 + 7.5 0.49 0.60 0.66 0.63 0.53 0.41 0.33 0.33 0.40 0.55 0.74 0.99 1.28 1.62 1.97 2.29 2.51 2.58 2.51 2.31 2.05 1.77 1.50 1.27 1.07 0.91 0.81 0.76 0.75 0.73 0.66 0.53 0.36 0.21 0.14 0.18 0.32 0.50 0.65 0.75 0.78 0.78 0.80 0.87 1.00 1.19 1.43 1.69 1.97 2.22 2.40 2.47 2.40 2.19 1.91 1.58 1.27 0.98 0.74 0.55 0.42 0.36 0.39 0.49 0.61 0.70 0.70 0.61 0.47 0.35 0.31 0.37 0.49 0.60 0.66 0.63 0.53 0.41 0.33 0.33 0.40 0.55 0.74 0.99 1.28 1.62 1.97 2.29 2.51 2.58 2.51 2.31 2.05 1.77 1.50 1.27 1.07 0.91 0.81 0.76 0.75 0.73 0.66 0.53 0.36 0.21 0.14 0.18 0.32 0.50 0.65 0.75 0.78 0.78 0.80 0.87 1.00 1.19 1.43 1.69 1.97 2.22 2.40 2.47 2.40 2.19 1.91 1.58 1.27 0.98 0.74 0.55 0.42 0.36 0.39 0.49 0.61 0.70 0.70 0.61 0.47 0.35 0.31 0.37 0.49 7.5 + 10.0 0.87 0.93 0.94 0.87 0.74 0.59 0.47 0.42 0.45 0.55 0.71 0.92 1.20 1.55 1.93 2.30 2.59 2.74 2.73 2.59 2.35 2.09 1.84 1.64 1.47 1.35 1.28 1.26 1.26 1.27 1.23 1.14 1.01 0.89 0.81 0.83 0.92 1.06 1.18 1.24 1.25 1.22 1.20 1.22 1.30 1.46 1.68 1.94 2.21 2.44 2.57 2.57 2.42 2.17 1.85 1.51 1.21 0.94 0.73 0.57 0.48 0.48 0.56 0.71 0.86 0.96 0.98 0.93 0.83 0.76 0.74 0.78 0.87 0.93 0.94 0.87 0.74 0.59 0.47 0.42 0.45 0.55 0.71 0.92 1.20 1.55 1.93 2.30 2.59 2.74 2.73 2.59 2.35 2.09 1.84 1.64 1.47 1.35 1.28 1.26 1.26 1.27 1.23 1.14 1.01 0.89 0.81 0.83 0.92 1.06 1.18 1.24 1.25 1.22 1.20 1.22 1.30 1.46 1.68 1.94 2.21 2.44 2.57 2.57 2.42 2.17 1.85 1.51 1.21 0.94 0.73 0.57 0.48 0.48 0.56 0.71 0.86 0.96 0.98 0.93 0.83 0.76 0.74 0.78 0.87 10.0 + 12.5 1.18 1.21 1.19 1.11 0.98 0.84 0.72 0.65 0.63 0.68 0.78 0.94 1.16 1.47 1.83 2.21 2.55 2.78 2.86 2.79 2.62 2.41 2.21 2.05 1.93 1.86 1.83 1.84 1.87 1.91 1.91 1.86 1.77 1.66 1.58 1.57 1.62 1.71 1.79 1.82 1.79 1.72 1.65 1.61 1.63 1.74 1.93 2.16 2.40 2.58 2.65 2.57 2.37 2.08 1.76 1.46 1.21 1.00 0.83 0.72 0.69 0.73 0.84 0.99 1.13 1.21 1.22 1.18 1.12 1.08 1.08 1.13 1.18 1.21 1.19 1.11 0.98 0.84 0.72 0.65 0.63 0.68 0.78 0.94 1.16 1.47 1.83 2.21 2.55 2.78 2.86 2.79 2.62 2.41 2.21 2.05 1.93 1.86 1.83 1.84 1.87 1.91 1.91 1.86 1.77 1.66 1.58 1.57 1.62 1.71 1.79 1.82 1.79 1.72 1.65 1.61 1.63 1.74 1.93 2.16 2.40 2.58 2.65 2.57 2.37 2.08 1.76 1.46 1.21 1.00 0.83 0.72 0.69 0.73 0.84 0.99 1.13 1.21 1.22 1.18 1.12 1.08 1.08 1.13 1.18 12.5 + 15.0 1.35 1.36 1.32 1.25 1.16 1.06 0.96 0.89 0.84 0.84 0.87 0.96 1.10 1.33 1.64 2.01 2.36 2.65 2.81 2.84 2.75 2.61 2.47 2.35 2.27 2.23 2.23 2.27 2.34 2.40 2.45 2.44 2.38 2.28 2.20 2.17 2.18 2.23 2.26 2.25 2.18 2.07 1.95 1.86 1.85 1.93 2.09 2.29 2.49 2.61 2.61 2.47 2.22 1.92 1.63 1.39 1.20 1.07 0.97 0.92 0.92 0.98 1.09 1.21 1.30 1.34 1.32 1.29 1.25 1.25 1.28 1.32 1.35 1.36 1.32 1.25 1.16 1.06 0.96 0.89 0.84 0.84 0.87 0.96 1.10 1.33 1.64 2.01 2.36 2.65 2.81 2.84 2.75 2.61 2.47 2.35 2.27 2.23 2.23 2.27 2.34 2.40 2.45 2.44 2.38 2.28 2.20 2.17 2.18 2.23 2.26 2.25 2.18 2.07 1.95 1.86 1.85 1.93 2.09 2.29 2.49 2.61 2.61 2.47 2.22 1.92 1.63 1.39 1.20 1.07 0.97 0.92 0.92 0.98 1.09 1.21 1.30 1.34 1.32 1.29 1.25 1.25 1.28 1.32 1.35 15.0 + 17.5 1.35 1.32 1.27 1.21 1.16 1.10 1.04 0.98 0.93 0.89 0.88 0.90 0.97 1.12 1.36 1.67 2.03 2.35 2.59 2.71 2.71 2.63 2.53 2.43 2.36 2.33 2.33 2.39 2.48 2.58 2.66 2.70 2.67 2.60 2.52 2.47 2.45 2.45 2.44 2.38 2.27 2.12 1.98 1.88 1.87 1.94 2.10 2.29 2.46 2.53 2.46 2.26 1.98 1.68 1.43 1.25 1.13 1.06 1.02 1.01 1.03 1.10 1.18 1.26 1.29 1.27 1.23 1.20 1.21 1.26 1.32 1.35 1.35 1.32 1.27 1.21 1.16 1.10 1.04 0.98 0.93 0.89 0.88 0.90 0.97 1.12 1.36 1.67 2.03 2.35 2.59 2.71 2.71 2.63 2.53 2.43 2.36 2.33 2.33 2.39 2.48 2.58 2.66 2.70 2.67 2.60 2.52 2.47 2.45 2.45 2.44 2.38 2.27 2.12 1.98 1.88 1.87 1.94 2.10 2.29 2.46 2.53 2.46 2.26 1.98 1.68 1.43 1.25 1.13 1.06 1.02 1.01 1.03 1.10 1.18 1.26 1.29 1.27 1.23 1.20 1.21 1.26 1.32 1.35 1.35 17.5 + 20.0 1.18 1.11 1.03 0.97 0.94 0.92 0.90 0.86 0.81 0.76 0.73 0.71 0.73 0.82 0.99 1.26 1.59 1.93 2.22 2.41 2.49 2.47 2.40 2.30 2.22 2.17 2.17 2.23 2.35 2.49 2.62 2.69 2.71 2.66 2.60 2.53 2.48 2.43 2.35 2.24 2.09 1.92 1.78 1.70 1.71 1.81 1.98 2.17 2.31 2.34 2.23 2.00 1.70 1.42 1.19 1.04 0.96 0.92 0.90 0.91 0.94 0.99 1.04 1.06 1.04 0.99 0.94 0.95 1.01 1.11 1.19 1.22 1.18 1.11 1.03 0.97 0.94 0.92 0.90 0.86 0.81 0.76 0.73 0.71 0.73 0.82 0.99 1.26 1.59 1.93 2.22 2.41 2.49 2.47 2.40 2.30 2.22 2.17 2.17 2.23 2.35 2.49 2.62 2.69 2.71 2.66 2.60 2.53 2.48 2.43 2.35 2.24 2.09 1.92 1.78 1.70 1.71 1.81 1.98 2.17 2.31 2.34 2.23 2.00 1.70 1.42 1.19 1.04 0.96 0.92 0.90 0.91 0.94 0.99 1.04 1.06 1.04 0.99 0.94 0.95 1.01 1.11 1.19 1.22 1.18 20.0 + 22.5 0.89 0.76 0.64 0.57 0.56 0.57 0.58 0.56 0.52 0.47 0.44 0.42 0.43 0.48 0.61 0.82 1.12 1.46 1.77 2.02 2.16 2.20 2.16 2.09 2.01 1.96 1.97 2.05 2.19 2.37 2.55 2.67 2.73 2.71 2.65 2.57 2.47 2.36 2.22 2.04 1.85 1.67 1.53 1.47 1.51 1.63 1.80 1.97 2.08 2.08 1.95 1.71 1.42 1.14 0.93 0.80 0.72 0.68 0.65 0.64 0.66 0.70 0.72 0.70 0.64 0.56 0.53 0.57 0.70 0.85 0.95 0.97 0.89 0.76 0.64 0.57 0.56 0.57 0.58 0.56 0.52 0.47 0.44 0.42 0.43 0.48 0.61 0.82 1.12 1.46 1.77 2.02 2.16 2.20 2.16 2.09 2.01 1.96 1.97 2.05 2.19 2.37 2.55 2.67 2.73 2.71 2.65 2.57 2.47 2.36 2.22 2.04 1.85 1.67 1.53 1.47 1.51 1.63 1.80 1.97 2.08 2.08 1.95 1.71 1.42 1.14 0.93 0.80 0.72 0.68 0.65 0.64 0.66 0.70 0.72 0.70 0.64 0.56 0.53 0.57 0.70 0.85 0.95 0.97 0.89 22.5 + 25.0 0.52 0.36 0.21 0.14 0.14 0.18 0.20 0.19 0.16 0.12 0.10 0.10 0.12 0.17 0.26 0.43 0.68 0.99 1.31 1.59 1.80 1.91 1.94 1.93 1.90 1.90 1.96 2.08 2.28 2.50 2.72 2.88 2.96 2.97 2.91 2.80 2.65 2.46 2.24 2.00 1.76 1.56 1.42 1.37 1.39 1.49 1.62 1.74 1.81 1.77 1.63 1.40 1.13 0.89 0.70 0.57 0.48 0.40 0.35 0.32 0.32 0.34 0.34 0.29 0.20 0.12 0.09 0.17 0.34 0.53 0.64 0.64 0.52 0.36 0.21 0.14 0.14 0.18 0.20 0.19 0.16 0.12 0.10 0.10 0.12 0.17 0.26 0.43 0.68 0.99 1.31 1.59 1.80 1.91 1.94 1.93 1.90 1.90 1.96 2.08 2.28 2.50 2.72 2.88 2.96 2.97 2.91 2.80 2.65 2.46 2.24 2.00 1.76 1.56 1.42 1.37 1.39 1.49 1.62 1.74 1.81 1.77 1.63 1.40 1.13 0.89 0.70 0.57 0.48 0.40 0.35 0.32 0.32 0.34 0.34 0.29 0.20 0.12 0.09 0.17 0.34 0.53 0.64 0.64 0.52 25.0 + 27.5 0.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.31 0.57 0.88 1.19 1.46 1.66 1.80 1.89 1.97 2.08 2.22 2.42 2.67 2.93 3.16 3.34 3.44 3.45 3.37 3.22 3.01 2.76 2.47 2.18 1.91 1.69 1.54 1.45 1.41 1.43 1.47 1.51 1.50 1.42 1.27 1.07 0.85 0.66 0.50 0.38 0.27 0.18 0.10 0.05 0.05 0.05 0.04 0.00 0.00 0.00 0.00 0.00 0.02 0.22 0.33 0.32 0.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.31 0.57 0.88 1.19 1.46 1.66 1.80 1.89 1.97 2.08 2.22 2.42 2.67 2.93 3.16 3.34 3.44 3.45 3.37 3.22 3.01 2.76 2.47 2.18 1.91 1.69 1.54 1.45 1.41 1.43 1.47 1.51 1.50 1.42 1.27 1.07 0.85 0.66 0.50 0.38 0.27 0.18 0.10 0.05 0.05 0.05 0.04 0.00 0.00 0.00 0.00 0.00 0.02 0.22 0.33 0.32 0.18 27.5 + 30.0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.25 0.53 0.85 1.17 1.46 1.71 1.93 2.14 2.37 2.62 2.89 3.17 3.44 3.66 3.82 3.90 3.90 3.80 3.62 3.36 3.06 2.74 2.43 2.16 1.94 1.77 1.62 1.51 1.41 1.33 1.26 1.17 1.06 0.92 0.75 0.59 0.44 0.33 0.23 0.13 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.25 0.53 0.85 1.17 1.46 1.71 1.93 2.14 2.37 2.62 2.89 3.17 3.44 3.66 3.82 3.90 3.90 3.80 3.62 3.36 3.06 2.74 2.43 2.16 1.94 1.77 1.62 1.51 1.41 1.33 1.26 1.17 1.06 0.92 0.75 0.59 0.44 0.33 0.23 0.13 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.06 0.00 30.0 + 32.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.30 0.62 0.96 1.29 1.61 1.91 2.22 2.54 2.86 3.17 3.45 3.68 3.85 3.96 4.01 3.98 3.86 3.66 3.39 3.09 2.78 2.51 2.28 2.09 1.92 1.74 1.55 1.36 1.18 1.02 0.89 0.76 0.63 0.49 0.37 0.27 0.19 0.12 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.30 0.62 0.96 1.29 1.61 1.91 2.22 2.54 2.86 3.17 3.45 3.68 3.85 3.96 4.01 3.98 3.86 3.66 3.39 3.09 2.78 2.51 2.28 2.09 1.92 1.74 1.55 1.36 1.18 1.02 0.89 0.76 0.63 0.49 0.37 0.27 0.19 0.12 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 32.5 + 35.0 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.22 0.51 0.82 1.14 1.44 1.75 2.07 2.41 2.73 3.02 3.24 3.40 3.49 3.54 3.55 3.50 3.39 3.20 2.95 2.68 2.43 2.23 2.09 1.98 1.86 1.68 1.46 1.22 1.01 0.84 0.70 0.60 0.49 0.37 0.26 0.17 0.10 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.22 0.51 0.82 1.14 1.44 1.75 2.07 2.41 2.73 3.02 3.24 3.40 3.49 3.54 3.55 3.50 3.39 3.20 2.95 2.68 2.43 2.23 2.09 1.98 1.86 1.68 1.46 1.22 1.01 0.84 0.70 0.60 0.49 0.37 0.26 0.17 0.10 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.09 0.05 0.00 35.0 + 37.5 0.17 0.08 0.05 0.11 0.21 0.29 0.32 0.26 0.14 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.29 0.55 0.79 1.01 1.21 1.44 1.69 1.96 2.23 2.43 2.56 2.62 2.62 2.62 2.61 2.59 2.51 2.36 2.15 1.93 1.75 1.65 1.62 1.61 1.57 1.45 1.26 1.04 0.86 0.74 0.67 0.62 0.55 0.44 0.30 0.17 0.07 0.02 0.00 0.00 0.01 0.04 0.07 0.10 0.11 0.09 0.06 0.04 0.06 0.13 0.23 0.31 0.33 0.28 0.17 0.08 0.05 0.11 0.21 0.29 0.32 0.26 0.14 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.29 0.55 0.79 1.01 1.21 1.44 1.69 1.96 2.23 2.43 2.56 2.62 2.62 2.62 2.61 2.59 2.51 2.36 2.15 1.93 1.75 1.65 1.62 1.61 1.57 1.45 1.26 1.04 0.86 0.74 0.67 0.62 0.55 0.44 0.30 0.17 0.07 0.02 0.00 0.00 0.01 0.04 0.07 0.10 0.11 0.09 0.06 0.04 0.06 0.13 0.23 0.31 0.33 0.28 0.17 37.5 + 40.0 0.45 0.37 0.36 0.39 0.45 0.50 0.49 0.43 0.34 0.23 0.13 0.04 0.00 0.00 0.00 0.00 0.04 0.24 0.47 0.68 0.82 0.90 0.96 1.04 1.18 1.36 1.53 1.64 1.66 1.62 1.56 1.53 1.55 1.58 1.57 1.48 1.32 1.13 1.00 0.97 1.03 1.13 1.18 1.14 1.01 0.86 0.76 0.73 0.76 0.80 0.77 0.65 0.45 0.25 0.10 0.02 0.03 0.09 0.16 0.21 0.23 0.24 0.23 0.23 0.26 0.31 0.39 0.49 0.58 0.63 0.61 0.54 0.45 0.37 0.36 0.39 0.45 0.50 0.49 0.43 0.34 0.23 0.13 0.04 0.00 0.00 0.00 0.00 0.04 0.24 0.47 0.68 0.82 0.90 0.96 1.04 1.18 1.36 1.53 1.64 1.66 1.62 1.56 1.53 1.55 1.58 1.57 1.48 1.32 1.13 1.00 0.97 1.03 1.13 1.18 1.14 1.01 0.86 0.76 0.73 0.76 0.80 0.77 0.65 0.45 0.25 0.10 0.02 0.03 0.09 0.16 0.21 0.23 0.24 0.23 0.23 0.26 0.31 0.39 0.49 0.58 0.63 0.61 0.54 0.45 40.0 + 42.5 0.62 0.57 0.57 0.59 0.61 0.61 0.59 0.54 0.50 0.45 0.38 0.29 0.17 0.05 0.00 0.03 0.18 0.41 0.65 0.81 0.86 0.80 0.71 0.66 0.69 0.79 0.89 0.93 0.87 0.76 0.67 0.65 0.73 0.86 0.94 0.91 0.77 0.58 0.44 0.43 0.54 0.70 0.84 0.87 0.81 0.72 0.68 0.74 0.87 0.99 1.01 0.88 0.63 0.35 0.14 0.06 0.11 0.24 0.37 0.44 0.44 0.40 0.35 0.34 0.40 0.52 0.65 0.77 0.84 0.84 0.78 0.69 0.62 0.57 0.57 0.59 0.61 0.61 0.59 0.54 0.50 0.45 0.38 0.29 0.17 0.05 0.00 0.03 0.18 0.41 0.65 0.81 0.86 0.80 0.71 0.66 0.69 0.79 0.89 0.93 0.87 0.76 0.67 0.65 0.73 0.86 0.94 0.91 0.77 0.58 0.44 0.43 0.54 0.70 0.84 0.87 0.81 0.72 0.68 0.74 0.87 0.99 1.01 0.88 0.63 0.35 0.14 0.06 0.11 0.24 0.37 0.44 0.44 0.40 0.35 0.34 0.40 0.52 0.65 0.77 0.84 0.84 0.78 0.69 0.62 42.5 + 45.0 0.58 0.59 0.62 0.65 0.64 0.60 0.56 0.56 0.59 0.63 0.63 0.55 0.40 0.21 0.09 0.09 0.24 0.49 0.72 0.84 0.80 0.64 0.44 0.32 0.31 0.39 0.48 0.49 0.40 0.26 0.16 0.19 0.35 0.58 0.75 0.77 0.62 0.38 0.18 0.12 0.23 0.43 0.61 0.69 0.67 0.60 0.58 0.68 0.87 1.06 1.12 1.00 0.72 0.39 0.14 0.08 0.19 0.42 0.62 0.72 0.69 0.57 0.44 0.39 0.46 0.61 0.77 0.88 0.90 0.83 0.72 0.62 0.58 0.59 0.62 0.65 0.64 0.60 0.56 0.56 0.59 0.63 0.63 0.55 0.40 0.21 0.09 0.09 0.24 0.49 0.72 0.84 0.80 0.64 0.44 0.32 0.31 0.39 0.48 0.49 0.40 0.26 0.16 0.19 0.35 0.58 0.75 0.77 0.62 0.38 0.18 0.12 0.23 0.43 0.61 0.69 0.67 0.60 0.58 0.68 0.87 1.06 1.12 1.00 0.72 0.39 0.14 0.08 0.19 0.42 0.62 0.72 0.69 0.57 0.44 0.39 0.46 0.61 0.77 0.88 0.90 0.83 0.72 0.62 0.58 45.0 + 47.5 0.34 0.42 0.52 0.57 0.54 0.47 0.44 0.48 0.60 0.76 0.85 0.80 0.62 0.36 0.15 0.09 0.20 0.43 0.64 0.72 0.62 0.40 0.16 0.03 0.04 0.17 0.30 0.33 0.24 0.09 0.00 0.08 0.33 0.65 0.90 0.95 0.76 0.44 0.14 0.01 0.07 0.28 0.49 0.59 0.56 0.46 0.41 0.49 0.69 0.92 1.02 0.93 0.66 0.32 0.08 0.06 0.26 0.58 0.87 1.00 0.92 0.71 0.49 0.37 0.41 0.56 0.72 0.79 0.74 0.59 0.43 0.33 0.34 0.42 0.52 0.57 0.54 0.47 0.44 0.48 0.60 0.76 0.85 0.80 0.62 0.36 0.15 0.09 0.20 0.43 0.64 0.72 0.62 0.40 0.16 0.03 0.04 0.17 0.30 0.33 0.24 0.09 0.00 0.08 0.33 0.65 0.90 0.95 0.76 0.44 0.14 0.01 0.07 0.28 0.49 0.59 0.56 0.46 0.41 0.49 0.69 0.92 1.02 0.93 0.66 0.32 0.08 0.06 0.26 0.58 0.87 1.00 0.92 0.71 0.49 0.37 0.41 0.56 0.72 0.79 0.74 0.59 0.43 0.33 0.34 47.5 + 50.0 0.02 0.19 0.35 0.43 0.39 0.29 0.24 0.31 0.52 0.79 0.98 0.99 0.80 0.49 0.20 0.06 0.11 0.29 0.46 0.50 0.37 0.13 0.00 0.00 0.00 0.07 0.26 0.33 0.25 0.10 0.03 0.14 0.45 0.84 1.14 1.19 0.96 0.56 0.17 0.00 0.00 0.19 0.42 0.53 0.47 0.31 0.19 0.20 0.38 0.61 0.76 0.71 0.48 0.17 0.00 0.01 0.30 0.71 1.07 1.21 1.09 0.79 0.47 0.28 0.27 0.40 0.54 0.57 0.46 0.24 0.04 0.00 0.02 0.19 0.35 0.43 0.39 0.29 0.24 0.31 0.52 0.79 0.98 0.99 0.80 0.49 0.20 0.06 0.11 0.29 0.46 0.50 0.37 0.13 0.00 0.00 0.00 0.07 0.26 0.33 0.25 0.10 0.03 0.14 0.45 0.84 1.14 1.19 0.96 0.56 0.17 0.00 0.00 0.19 0.42 0.53 0.47 0.31 0.19 0.20 0.38 0.61 0.76 0.71 0.48 0.17 0.00 0.01 0.30 0.71 1.07 1.21 1.09 0.79 0.47 0.28 0.27 0.40 0.54 0.57 0.46 0.24 0.04 0.00 0.02 50.0 + 52.5 0.00 0.04 0.26 0.34 0.27 0.12 0.04 0.12 0.39 0.74 1.02 1.10 0.93 0.60 0.27 0.06 0.05 0.18 0.31 0.33 0.19 0.00 0.00 0.00 0.00 0.05 0.27 0.37 0.30 0.16 0.09 0.21 0.54 0.95 1.26 1.30 1.05 0.60 0.16 0.00 0.00 0.13 0.38 0.49 0.41 0.20 0.00 0.00 0.07 0.29 0.47 0.48 0.30 0.04 0.00 0.00 0.31 0.78 1.17 1.32 1.17 0.80 0.40 0.14 0.10 0.21 0.34 0.36 0.20 0.00 0.00 0.00 0.00 0.04 0.26 0.34 0.27 0.12 0.04 0.12 0.39 0.74 1.02 1.10 0.93 0.60 0.27 0.06 0.05 0.18 0.31 0.33 0.19 0.00 0.00 0.00 0.00 0.05 0.27 0.37 0.30 0.16 0.09 0.21 0.54 0.95 1.26 1.30 1.05 0.60 0.16 0.00 0.00 0.13 0.38 0.49 0.41 0.20 0.00 0.00 0.07 0.29 0.47 0.48 0.30 0.04 0.00 0.00 0.31 0.78 1.17 1.32 1.17 0.80 0.40 0.14 0.10 0.21 0.34 0.36 0.20 0.00 0.00 0.00 0.00 52.5 + 55.0 0.00 0.10 0.33 0.40 0.27 0.06 0.00 0.00 0.25 0.65 1.00 1.15 1.02 0.71 0.37 0.14 0.10 0.19 0.31 0.32 0.19 0.00 0.00 0.00 0.00 0.10 0.32 0.41 0.35 0.21 0.14 0.25 0.55 0.93 1.22 1.25 0.99 0.55 0.11 0.00 0.00 0.12 0.39 0.52 0.43 0.19 0.00 0.00 0.00 0.09 0.28 0.33 0.20 0.00 0.00 0.00 0.32 0.80 1.19 1.33 1.15 0.74 0.31 0.02 0.00 0.09 0.23 0.26 0.11 0.00 0.00 0.00 0.00 0.10 0.33 0.40 0.27 0.06 0.00 0.00 0.25 0.65 1.00 1.15 1.02 0.71 0.37 0.14 0.10 0.19 0.31 0.32 0.19 0.00 0.00 0.00 0.00 0.10 0.32 0.41 0.35 0.21 0.14 0.25 0.55 0.93 1.22 1.25 0.99 0.55 0.11 0.00 0.00 0.12 0.39 0.52 0.43 0.19 0.00 0.00 0.00 0.09 0.28 0.33 0.20 0.00 0.00 0.00 0.32 0.80 1.19 1.33 1.15 0.74 0.31 0.02 0.00 0.09 0.23 0.26 0.11 0.00 0.00 0.00 0.00 55.0 + 57.5 0.08 0.36 0.57 0.60 0.41 0.12 0.00 0.00 0.17 0.58 0.95 1.13 1.06 0.80 0.48 0.27 0.23 0.33 0.45 0.49 0.38 0.18 0.00 0.00 0.03 0.22 0.40 0.48 0.42 0.30 0.22 0.30 0.55 0.86 1.09 1.10 0.87 0.48 0.10 0.00 0.00 0.19 0.46 0.60 0.52 0.28 0.00 0.00 0.00 0.06 0.24 0.30 0.21 0.03 0.00 0.01 0.33 0.77 1.13 1.24 1.06 0.66 0.23 0.00 0.00 0.07 0.25 0.31 0.22 0.03 0.00 0.00 0.08 0.36 0.57 0.60 0.41 0.12 0.00 0.00 0.17 0.58 0.95 1.13 1.06 0.80 0.48 0.27 0.23 0.33 0.45 0.49 0.38 0.18 0.00 0.00 0.03 0.22 0.40 0.48 0.42 0.30 0.22 0.30 0.55 0.86 1.09 1.10 0.87 0.48 0.10 0.00 0.00 0.19 0.46 0.60 0.52 0.28 0.00 0.00 0.00 0.06 0.24 0.30 0.21 0.03 0.00 0.01 0.33 0.77 1.13 1.24 1.06 0.66 0.23 0.00 0.00 0.07 0.25 0.31 0.22 0.03 0.00 0.00 0.08 57.5 + 60.0 0.44 0.69 0.87 0.84 0.61 0.28 0.02 0.00 0.17 0.53 0.88 1.07 1.03 0.81 0.55 0.38 0.36 0.48 0.63 0.70 0.64 0.48 0.30 0.21 0.23 0.35 0.48 0.55 0.51 0.41 0.35 0.40 0.56 0.78 0.94 0.94 0.75 0.43 0.14 0.01 0.08 0.31 0.55 0.68 0.62 0.39 0.13 0.00 0.00 0.10 0.26 0.33 0.25 0.09 0.00 0.05 0.31 0.68 1.00 1.09 0.93 0.57 0.20 0.00 0.00 0.15 0.36 0.47 0.43 0.30 0.21 0.25 0.44 0.69 0.87 0.84 0.61 0.28 0.02 0.00 0.17 0.53 0.88 1.07 1.03 0.81 0.55 0.38 0.36 0.48 0.63 0.70 0.64 0.48 0.30 0.21 0.23 0.35 0.48 0.55 0.51 0.41 0.35 0.40 0.56 0.78 0.94 0.94 0.75 0.43 0.14 0.01 0.08 0.31 0.55 0.68 0.62 0.39 0.13 0.00 0.00 0.10 0.26 0.33 0.25 0.09 0.00 0.05 0.31 0.68 1.00 1.09 0.93 0.57 0.20 0.00 0.00 0.15 0.36 0.47 0.43 0.30 0.21 0.25 0.44 60.0 + 62.5 0.71 0.92 1.05 0.99 0.75 0.42 0.16 0.08 0.23 0.52 0.81 0.96 0.91 0.72 0.50 0.36 0.37 0.51 0.68 0.79 0.77 0.65 0.48 0.36 0.33 0.39 0.48 0.55 0.55 0.50 0.46 0.47 0.56 0.69 0.79 0.77 0.63 0.41 0.21 0.13 0.20 0.40 0.60 0.71 0.65 0.45 0.21 0.06 0.04 0.14 0.27 0.33 0.26 0.12 0.01 0.04 0.24 0.55 0.81 0.90 0.77 0.49 0.20 0.04 0.08 0.27 0.49 0.62 0.62 0.54 0.48 0.53 0.71 0.92 1.05 0.99 0.75 0.42 0.16 0.08 0.23 0.52 0.81 0.96 0.91 0.72 0.50 0.36 0.37 0.51 0.68 0.79 0.77 0.65 0.48 0.36 0.33 0.39 0.48 0.55 0.55 0.50 0.46 0.47 0.56 0.69 0.79 0.77 0.63 0.41 0.21 0.13 0.20 0.40 0.60 0.71 0.65 0.45 0.21 0.06 0.04 0.14 0.27 0.33 0.26 0.12 0.01 0.04 0.24 0.55 0.81 0.90 0.77 0.49 0.20 0.04 0.08 0.27 0.49 0.62 0.62 0.54 0.48 0.53 0.71 62.5 + 65.0 0.76 0.93 1.02 0.96 0.75 0.47 0.25 0.18 0.29 0.51 0.72 0.81 0.74 0.55 0.34 0.21 0.22 0.36 0.53 0.66 0.68 0.58 0.42 0.28 0.22 0.24 0.33 0.41 0.46 0.46 0.44 0.44 0.47 0.54 0.59 0.58 0.50 0.37 0.25 0.21 0.28 0.43 0.59 0.67 0.62 0.46 0.26 0.13 0.11 0.18 0.29 0.33 0.27 0.14 0.03 0.03 0.17 0.41 0.63 0.72 0.64 0.44 0.23 0.14 0.20 0.38 0.58 0.69 0.69 0.62 0.57 0.62 0.76 0.93 1.02 0.96 0.75 0.47 0.25 0.18 0.29 0.51 0.72 0.81 0.74 0.55 0.34 0.21 0.22 0.36 0.53 0.66 0.68 0.58 0.42 0.28 0.22 0.24 0.33 0.41 0.46 0.46 0.44 0.44 0.47 0.54 0.59 0.58 0.50 0.37 0.25 0.21 0.28 0.43 0.59 0.67 0.62 0.46 0.26 0.13 0.11 0.18 0.29 0.33 0.27 0.14 0.03 0.03 0.17 0.41 0.63 0.72 0.64 0.44 0.23 0.14 0.20 0.38 0.58 0.69 0.69 0.62 0.57 0.62 0.76 65.0 + 67.5 0.62 0.75 0.82 0.77 0.62 0.42 0.26 0.23 0.32 0.48 0.63 0.67 0.57 0.37 0.16 0.02 0.01 0.12 0.28 0.41 0.44 0.35 0.19 0.04 0.00 0.00 0.07 0.19 0.28 0.31 0.30 0.28 0.28 0.32 0.38 0.42 0.41 0.35 0.29 0.28 0.34 0.46 0.59 0.67 0.65 0.54 0.40 0.31 0.31 0.39 0.49 0.52 0.46 0.32 0.18 0.13 0.20 0.37 0.54 0.62 0.57 0.44 0.31 0.26 0.33 0.49 0.63 0.70 0.67 0.58 0.51 0.52 0.62 0.75 0.82 0.77 0.62 0.42 0.26 0.23 0.32 0.48 0.63 0.67 0.57 0.37 0.16 0.02 0.01 0.12 0.28 0.41 0.44 0.35 0.19 0.04 0.00 0.00 0.07 0.19 0.28 0.31 0.30 0.28 0.28 0.32 0.38 0.42 0.41 0.35 0.29 0.28 0.34 0.46 0.59 0.67 0.65 0.54 0.40 0.31 0.31 0.39 0.49 0.52 0.46 0.32 0.18 0.13 0.20 0.37 0.54 0.62 0.57 0.44 0.31 0.26 0.33 0.49 0.63 0.70 0.67 0.58 0.51 0.52 0.62 67.5 + 70.0 0.45 0.53 0.57 0.54 0.44 0.31 0.23 0.22 0.31 0.45 0.56 0.58 0.48 0.29 0.07 0.00 0.00 0.00 0.11 0.23 0.27 0.18 0.02 0.00 0.00 0.00 0.00 0.03 0.14 0.17 0.15 0.12 0.12 0.19 0.30 0.40 0.47 0.47 0.44 0.44 0.50 0.62 0.77 0.89 0.92 0.89 0.83 0.81 0.86 0.98 1.09 1.12 1.02 0.83 0.62 0.48 0.47 0.55 0.65 0.70 0.65 0.55 0.45 0.43 0.50 0.62 0.71 0.73 0.65 0.53 0.43 0.40 0.45 0.53 0.57 0.54 0.44 0.31 0.23 0.22 0.31 0.45 0.56 0.58 0.48 0.29 0.07 0.00 0.00 0.00 0.11 0.23 0.27 0.18 0.02 0.00 0.00 0.00 0.00 0.03 0.14 0.17 0.15 0.12 0.12 0.19 0.30 0.40 0.47 0.47 0.44 0.44 0.50 0.62 0.77 0.89 0.92 0.89 0.83 0.81 0.86 0.98 1.09 1.12 1.02 0.83 0.62 0.48 0.47 0.55 0.65 0.70 0.65 0.55 0.45 0.43 0.50 0.62 0.71 0.73 0.65 0.53 0.43 0.40 0.45 70.0 + 72.5 0.39 0.43 0.44 0.41 0.34 0.25 0.19 0.21 0.29 0.42 0.54 0.58 0.51 0.35 0.15 0.00 0.00 0.03 0.19 0.34 0.40 0.32 0.15 0.00 0.00 0.00 0.00 0.15 0.24 0.25 0.20 0.15 0.17 0.30 0.49 0.68 0.81 0.84 0.82 0.81 0.87 1.02 1.22 1.40 1.53 1.59 1.62 1.70 1.85 2.04 2.19 2.21 2.05 1.76 1.42 1.14 1.00 0.98 1.00 0.99 0.91 0.79 0.68 0.66 0.72 0.82 0.89 0.87 0.75 0.60 0.46 0.39 0.39 0.43 0.44 0.41 0.34 0.25 0.19 0.21 0.29 0.42 0.54 0.58 0.51 0.35 0.15 0.00 0.00 0.03 0.19 0.34 0.40 0.32 0.15 0.00 0.00 0.00 0.00 0.15 0.24 0.25 0.20 0.15 0.17 0.30 0.49 0.68 0.81 0.84 0.82 0.81 0.87 1.02 1.22 1.40 1.53 1.59 1.62 1.70 1.85 2.04 2.19 2.21 2.05 1.76 1.42 1.14 1.00 0.98 1.00 0.99 0.91 0.79 0.68 0.66 0.72 0.82 0.89 0.87 0.75 0.60 0.46 0.39 0.39 72.5 + 75.0 0.51 0.50 0.49 0.45 0.37 0.28 0.21 0.19 0.26 0.38 0.53 0.63 0.63 0.53 0.36 0.22 0.19 0.31 0.53 0.76 0.89 0.85 0.68 0.47 0.34 0.35 0.46 0.60 0.67 0.64 0.53 0.46 0.50 0.69 0.98 1.25 1.42 1.45 1.40 1.35 1.40 1.58 1.85 2.12 2.34 2.50 2.64 2.83 3.10 3.39 3.60 3.61 3.37 2.92 2.41 1.97 1.69 1.57 1.52 1.45 1.31 1.12 0.97 0.92 0.97 1.07 1.14 1.12 1.00 0.83 0.66 0.55 0.51 0.50 0.49 0.45 0.37 0.28 0.21 0.19 0.26 0.38 0.53 0.63 0.63 0.53 0.36 0.22 0.19 0.31 0.53 0.76 0.89 0.85 0.68 0.47 0.34 0.35 0.46 0.60 0.67 0.64 0.53 0.46 0.50 0.69 0.98 1.25 1.42 1.45 1.40 1.35 1.40 1.58 1.85 2.12 2.34 2.50 2.64 2.83 3.10 3.39 3.60 3.61 3.37 2.92 2.41 1.97 1.69 1.57 1.52 1.45 1.31 1.12 0.97 0.92 0.97 1.07 1.14 1.12 1.00 0.83 0.66 0.55 0.51 75.0 + 77.5 0.69 0.66 0.63 0.58 0.49 0.37 0.25 0.18 0.19 0.30 0.48 0.65 0.74 0.69 0.56 0.43 0.42 0.61 0.95 1.32 1.57 1.61 1.46 1.23 1.07 1.04 1.14 1.26 1.29 1.20 1.04 0.93 0.98 1.22 1.57 1.90 2.09 2.08 1.96 1.85 1.87 2.07 2.39 2.74 3.04 3.28 3.51 3.81 4.21 4.62 4.91 4.91 4.57 3.96 3.26 2.66 2.27 2.08 2.00 1.89 1.69 1.44 1.23 1.13 1.16 1.28 1.38 1.39 1.28 1.10 0.92 0.77 0.69 0.66 0.63 0.58 0.49 0.37 0.25 0.18 0.19 0.30 0.48 0.65 0.74 0.69 0.56 0.43 0.42 0.61 0.95 1.32 1.57 1.61 1.46 1.23 1.07 1.04 1.14 1.26 1.29 1.20 1.04 0.93 0.98 1.22 1.57 1.90 2.09 2.08 1.96 1.85 1.87 2.07 2.39 2.74 3.04 3.28 3.51 3.81 4.21 4.62 4.91 4.91 4.57 3.96 3.26 2.66 2.27 2.08 2.00 1.89 1.69 1.44 1.23 1.13 1.16 1.28 1.38 1.39 1.28 1.10 0.92 0.77 0.69 77.5 + 80.0 0.77 0.73 0.72 0.69 0.60 0.45 0.27 0.12 0.07 0.15 0.35 0.58 0.73 0.72 0.58 0.44 0.45 0.71 1.18 1.73 2.15 2.30 2.19 1.94 1.73 1.65 1.72 1.81 1.80 1.66 1.44 1.28 1.32 1.58 1.97 2.33 2.49 2.43 2.22 2.03 2.00 2.20 2.55 2.95 3.30 3.58 3.87 4.26 4.77 5.29 5.65 5.66 5.23 4.48 3.62 2.89 2.44 2.25 2.20 2.10 1.89 1.59 1.31 1.17 1.20 1.34 1.48 1.53 1.44 1.26 1.05 0.87 0.77 0.73 0.72 0.69 0.60 0.45 0.27 0.12 0.07 0.15 0.35 0.58 0.73 0.72 0.58 0.44 0.45 0.71 1.18 1.73 2.15 2.30 2.19 1.94 1.73 1.65 1.72 1.81 1.80 1.66 1.44 1.28 1.32 1.58 1.97 2.33 2.49 2.43 2.22 2.03 2.00 2.20 2.55 2.95 3.30 3.58 3.87 4.26 4.77 5.29 5.65 5.66 5.23 4.48 3.62 2.89 2.44 2.25 2.20 2.10 1.89 1.59 1.31 1.17 1.20 1.34 1.48 1.53 1.44 1.26 1.05 0.87 0.77 80.0 + 82.5 0.63 0.61 0.64 0.66 0.61 0.46 0.24 0.01 0.00 0.00 0.15 0.41 0.58 0.57 0.40 0.21 0.20 0.50 1.11 1.83 2.42 2.70 2.63 2.35 2.07 1.92 1.93 1.99 1.95 1.77 1.49 1.28 1.29 1.54 1.94 2.30 2.44 2.32 2.02 1.75 1.67 1.85 2.21 2.62 2.98 3.26 3.57 4.00 4.58 5.19 5.61 5.63 5.14 4.28 3.31 2.51 2.06 1.94 1.98 1.97 1.79 1.47 1.16 0.98 1.00 1.16 1.35 1.44 1.37 1.18 0.94 0.74 0.63 0.61 0.64 0.66 0.61 0.46 0.24 0.01 0.00 0.00 0.15 0.41 0.58 0.57 0.40 0.21 0.20 0.50 1.11 1.83 2.42 2.70 2.63 2.35 2.07 1.92 1.93 1.99 1.95 1.77 1.49 1.28 1.29 1.54 1.94 2.30 2.44 2.32 2.02 1.75 1.67 1.85 2.21 2.62 2.98 3.26 3.57 4.00 4.58 5.19 5.61 5.63 5.14 4.28 3.31 2.51 2.06 1.94 1.98 1.97 1.79 1.47 1.16 0.98 1.00 1.16 1.35 1.44 1.37 1.18 0.94 0.74 0.63 82.5 + 85.0 0.30 0.31 0.40 0.50 0.52 0.40 0.17 0.00 0.00 0.00 0.00 0.21 0.39 0.36 0.12 0.00 0.00 0.12 0.82 1.69 2.43 2.82 2.78 2.46 2.08 1.84 1.78 1.79 1.72 1.50 1.18 0.92 0.89 1.12 1.51 1.86 1.99 1.83 1.48 1.14 1.02 1.17 1.52 1.93 2.27 2.53 2.80 3.21 3.81 4.46 4.92 4.94 4.43 3.51 2.48 1.66 1.26 1.24 1.41 1.51 1.41 1.12 0.79 0.59 0.61 0.80 1.02 1.15 1.10 0.90 0.63 0.41 0.30 0.31 0.40 0.50 0.52 0.40 0.17 0.00 0.00 0.00 0.00 0.21 0.39 0.36 0.12 0.00 0.00 0.12 0.82 1.69 2.43 2.82 2.78 2.46 2.08 1.84 1.78 1.79 1.72 1.50 1.18 0.92 0.89 1.12 1.51 1.86 1.99 1.83 1.48 1.14 1.02 1.17 1.52 1.93 2.27 2.53 2.80 3.21 3.81 4.46 4.92 4.94 4.43 3.51 2.48 1.66 1.26 1.24 1.41 1.51 1.41 1.12 0.79 0.59 0.61 0.80 1.02 1.15 1.10 0.90 0.63 0.41 0.30 85.0 + 87.5 0.00 0.01 0.17 0.35 0.44 0.38 0.16 0.00 0.00 0.00 0.00 0.14 0.32 0.27 0.00 0.00 0.00 0.00 0.62 1.59 2.44 2.91 2.88 2.51 2.03 1.68 1.52 1.46 1.36 1.11 0.76 0.46 0.39 0.59 0.98 1.34 1.47 1.30 0.93 0.56 0.40 0.52 0.86 1.26 1.57 1.77 1.98 2.34 2.89 3.53 3.99 4.01 3.50 2.55 1.51 0.71 0.35 0.43 0.71 0.92 0.90 0.66 0.34 0.15 0.17 0.37 0.63 0.78 0.75 0.56 0.29 0.06 0.00 0.01 0.17 0.35 0.44 0.38 0.16 0.00 0.00 0.00 0.00 0.14 0.32 0.27 0.00 0.00 0.00 0.00 0.62 1.59 2.44 2.91 2.88 2.51 2.03 1.68 1.52 1.46 1.36 1.11 0.76 0.46 0.39 0.59 0.98 1.34 1.47 1.30 0.93 0.56 0.40 0.52 0.86 1.26 1.57 1.77 1.98 2.34 2.89 3.53 3.99 4.01 3.50 2.55 1.51 0.71 0.35 0.43 0.71 0.92 0.90 0.66 0.34 0.15 0.17 0.37 0.63 0.78 0.75 0.56 0.29 0.06 0.00 87.5 + 90.0 0.00 0.00 0.11 0.35 0.51 0.50 0.31 0.03 0.00 0.00 0.00 0.29 0.49 0.46 0.18 0.00 0.00 0.04 0.82 1.84 2.76 3.27 3.24 2.82 2.25 1.78 1.51 1.38 1.23 0.95 0.58 0.26 0.15 0.34 0.72 1.09 1.24 1.09 0.72 0.34 0.15 0.26 0.58 0.95 1.23 1.38 1.51 1.78 2.25 2.82 3.24 3.27 2.76 1.84 0.82 0.04 0.00 0.00 0.18 0.46 0.49 0.29 0.00 0.00 0.00 0.03 0.31 0.50 0.51 0.35 0.11 0.00 0.00 0.00 0.11 0.35 0.51 0.50 0.31 0.03 0.00 0.00 0.00 0.29 0.49 0.46 0.18 0.00 0.00 0.04 0.82 1.84 2.76 3.27 3.24 2.82 2.25 1.78 1.51 1.38 1.23 0.95 0.58 0.26 0.15 0.34 0.72 1.09 1.24 1.09 0.72 0.34 0.15 0.26 0.58 0.95 1.23 1.38 1.51 1.78 2.25 2.82 3.24 3.27 2.76 1.84 0.82 0.04 0.00 0.00 0.18 0.46 0.49 0.29 0.00 0.00 0.00 0.03 0.31 0.50 0.51 0.35 0.11 0.00 0.00 90.0 + + 52.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.98 ) PHI2 = 53. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.0 + 2.5 0.09 0.27 0.36 0.38 0.37 0.39 0.49 0.64 0.84 1.05 1.27 1.51 1.77 2.01 2.20 2.28 2.24 2.08 1.86 1.62 1.38 1.15 0.93 0.73 0.55 0.44 0.39 0.38 0.34 0.24 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.24 0.36 0.40 0.41 0.45 0.56 0.72 0.93 1.14 1.37 1.61 1.85 2.07 2.22 2.26 2.18 2.00 1.76 1.51 1.27 1.05 0.84 0.64 0.49 0.40 0.38 0.39 0.38 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.27 0.36 0.38 0.37 0.39 0.49 0.64 0.84 1.05 1.27 1.51 1.77 2.01 2.20 2.28 2.24 2.08 1.86 1.62 1.38 1.15 0.93 0.73 0.55 0.44 0.39 0.38 0.34 0.24 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.24 0.36 0.40 0.41 0.45 0.56 0.72 0.93 1.14 1.37 1.61 1.85 2.07 2.22 2.26 2.18 2.00 1.76 1.51 1.27 1.05 0.84 0.64 0.49 0.40 0.38 0.39 0.38 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.09 2.5 + 5.0 0.30 0.42 0.45 0.40 0.34 0.32 0.37 0.50 0.68 0.89 1.13 1.40 1.71 2.01 2.25 2.40 2.40 2.27 2.05 1.79 1.52 1.27 1.03 0.82 0.65 0.53 0.47 0.45 0.43 0.34 0.17 0.00 0.00 0.00 0.00 0.00 0.16 0.35 0.46 0.50 0.51 0.55 0.64 0.80 1.00 1.23 1.48 1.74 1.99 2.20 2.32 2.31 2.18 1.95 1.67 1.38 1.12 0.88 0.67 0.50 0.39 0.36 0.40 0.47 0.50 0.45 0.30 0.11 0.00 0.00 0.00 0.12 0.30 0.42 0.45 0.40 0.34 0.32 0.37 0.50 0.68 0.89 1.13 1.40 1.71 2.01 2.25 2.40 2.40 2.27 2.05 1.79 1.52 1.27 1.03 0.82 0.65 0.53 0.47 0.45 0.43 0.34 0.17 0.00 0.00 0.00 0.00 0.00 0.16 0.35 0.46 0.50 0.51 0.55 0.64 0.80 1.00 1.23 1.48 1.74 1.99 2.20 2.32 2.31 2.18 1.95 1.67 1.38 1.12 0.88 0.67 0.50 0.39 0.36 0.40 0.47 0.50 0.45 0.30 0.11 0.00 0.00 0.00 0.12 0.30 5.0 + 7.5 0.59 0.64 0.60 0.50 0.38 0.31 0.31 0.40 0.54 0.74 0.99 1.28 1.63 1.99 2.31 2.53 2.60 2.52 2.32 2.05 1.77 1.50 1.27 1.07 0.90 0.79 0.74 0.73 0.71 0.65 0.52 0.36 0.20 0.12 0.16 0.30 0.48 0.64 0.74 0.77 0.77 0.78 0.84 0.97 1.15 1.39 1.66 1.94 2.19 2.37 2.43 2.36 2.17 1.88 1.57 1.26 0.98 0.74 0.54 0.41 0.36 0.40 0.50 0.62 0.70 0.69 0.59 0.45 0.33 0.29 0.35 0.47 0.59 0.64 0.60 0.50 0.38 0.31 0.31 0.40 0.54 0.74 0.99 1.28 1.63 1.99 2.31 2.53 2.60 2.52 2.32 2.05 1.77 1.50 1.27 1.07 0.90 0.79 0.74 0.73 0.71 0.65 0.52 0.36 0.20 0.12 0.16 0.30 0.48 0.64 0.74 0.77 0.77 0.78 0.84 0.97 1.15 1.39 1.66 1.94 2.19 2.37 2.43 2.36 2.17 1.88 1.57 1.26 0.98 0.74 0.54 0.41 0.36 0.40 0.50 0.62 0.70 0.69 0.59 0.45 0.33 0.29 0.35 0.47 0.59 7.5 + 10.0 0.90 0.90 0.81 0.68 0.53 0.43 0.39 0.42 0.52 0.68 0.90 1.19 1.55 1.94 2.32 2.61 2.76 2.75 2.59 2.36 2.09 1.85 1.64 1.48 1.35 1.27 1.23 1.23 1.24 1.21 1.13 1.00 0.86 0.78 0.78 0.87 1.00 1.13 1.20 1.21 1.18 1.15 1.15 1.23 1.38 1.60 1.87 2.14 2.37 2.50 2.50 2.37 2.12 1.81 1.49 1.19 0.93 0.71 0.55 0.46 0.47 0.56 0.71 0.86 0.95 0.96 0.89 0.78 0.71 0.70 0.75 0.84 0.90 0.90 0.81 0.68 0.53 0.43 0.39 0.42 0.52 0.68 0.90 1.19 1.55 1.94 2.32 2.61 2.76 2.75 2.59 2.36 2.09 1.85 1.64 1.48 1.35 1.27 1.23 1.23 1.24 1.21 1.13 1.00 0.86 0.78 0.78 0.87 1.00 1.13 1.20 1.21 1.18 1.15 1.15 1.23 1.38 1.60 1.87 2.14 2.37 2.50 2.50 2.37 2.12 1.81 1.49 1.19 0.93 0.71 0.55 0.46 0.47 0.56 0.71 0.86 0.95 0.96 0.89 0.78 0.71 0.70 0.75 0.84 0.90 10.0 + 12.5 1.16 1.12 1.03 0.90 0.76 0.65 0.58 0.58 0.63 0.73 0.89 1.13 1.45 1.83 2.23 2.57 2.80 2.87 2.79 2.62 2.42 2.22 2.07 1.95 1.87 1.82 1.81 1.83 1.87 1.88 1.83 1.73 1.61 1.51 1.48 1.52 1.61 1.69 1.74 1.71 1.64 1.55 1.49 1.51 1.62 1.81 2.05 2.30 2.48 2.55 2.49 2.29 2.02 1.72 1.44 1.19 0.98 0.81 0.69 0.65 0.70 0.82 0.97 1.11 1.18 1.17 1.11 1.04 1.00 1.02 1.07 1.13 1.16 1.12 1.03 0.90 0.76 0.65 0.58 0.58 0.63 0.73 0.89 1.13 1.45 1.83 2.23 2.57 2.80 2.87 2.79 2.62 2.42 2.22 2.07 1.95 1.87 1.82 1.81 1.83 1.87 1.88 1.83 1.73 1.61 1.51 1.48 1.52 1.61 1.69 1.74 1.71 1.64 1.55 1.49 1.51 1.62 1.81 2.05 2.30 2.48 2.55 2.49 2.29 2.02 1.72 1.44 1.19 0.98 0.81 0.69 0.65 0.70 0.82 0.97 1.11 1.18 1.17 1.11 1.04 1.00 1.02 1.07 1.13 1.16 12.5 + 15.0 1.29 1.24 1.16 1.05 0.95 0.86 0.79 0.76 0.76 0.79 0.88 1.04 1.29 1.62 2.00 2.37 2.66 2.82 2.84 2.76 2.63 2.49 2.38 2.30 2.25 2.23 2.25 2.29 2.36 2.40 2.40 2.33 2.21 2.11 2.04 2.04 2.09 2.13 2.13 2.07 1.95 1.81 1.71 1.69 1.77 1.94 2.16 2.37 2.50 2.51 2.38 2.14 1.86 1.59 1.36 1.18 1.04 0.94 0.87 0.87 0.94 1.06 1.18 1.27 1.28 1.25 1.19 1.15 1.15 1.20 1.25 1.29 1.29 1.24 1.16 1.05 0.95 0.86 0.79 0.76 0.76 0.79 0.88 1.04 1.29 1.62 2.00 2.37 2.66 2.82 2.84 2.76 2.63 2.49 2.38 2.30 2.25 2.23 2.25 2.29 2.36 2.40 2.40 2.33 2.21 2.11 2.04 2.04 2.09 2.13 2.13 2.07 1.95 1.81 1.71 1.69 1.77 1.94 2.16 2.37 2.50 2.51 2.38 2.14 1.86 1.59 1.36 1.18 1.04 0.94 0.87 0.87 0.94 1.06 1.18 1.27 1.28 1.25 1.19 1.15 1.15 1.20 1.25 1.29 1.29 15.0 + 17.5 1.26 1.19 1.12 1.05 0.99 0.93 0.88 0.83 0.79 0.78 0.80 0.88 1.05 1.31 1.65 2.01 2.34 2.58 2.69 2.71 2.65 2.57 2.48 2.42 2.37 2.35 2.37 2.44 2.54 2.62 2.65 2.61 2.51 2.40 2.32 2.29 2.29 2.29 2.24 2.14 1.99 1.83 1.72 1.69 1.77 1.94 2.15 2.34 2.43 2.38 2.20 1.93 1.65 1.42 1.24 1.12 1.04 0.98 0.96 0.98 1.05 1.14 1.22 1.24 1.20 1.14 1.09 1.09 1.15 1.22 1.28 1.30 1.26 1.19 1.12 1.05 0.99 0.93 0.88 0.83 0.79 0.78 0.80 0.88 1.05 1.31 1.65 2.01 2.34 2.58 2.69 2.71 2.65 2.57 2.48 2.42 2.37 2.35 2.37 2.44 2.54 2.62 2.65 2.61 2.51 2.40 2.32 2.29 2.29 2.29 2.24 2.14 1.99 1.83 1.72 1.69 1.77 1.94 2.15 2.34 2.43 2.38 2.20 1.93 1.65 1.42 1.24 1.12 1.04 0.98 0.96 0.98 1.05 1.14 1.22 1.24 1.20 1.14 1.09 1.09 1.15 1.22 1.28 1.30 1.26 17.5 + 20.0 1.07 0.97 0.90 0.85 0.82 0.80 0.76 0.71 0.65 0.61 0.60 0.64 0.74 0.93 1.21 1.55 1.89 2.19 2.38 2.48 2.49 2.45 2.37 2.29 2.23 2.21 2.24 2.33 2.45 2.57 2.64 2.64 2.57 2.46 2.37 2.30 2.25 2.20 2.10 1.96 1.79 1.64 1.54 1.55 1.65 1.84 2.05 2.22 2.27 2.18 1.97 1.70 1.43 1.21 1.07 0.98 0.92 0.88 0.87 0.89 0.95 1.01 1.04 1.00 0.93 0.86 0.84 0.90 1.01 1.12 1.17 1.15 1.07 0.97 0.90 0.85 0.82 0.80 0.76 0.71 0.65 0.61 0.60 0.64 0.74 0.93 1.21 1.55 1.89 2.19 2.38 2.48 2.49 2.45 2.37 2.29 2.23 2.21 2.24 2.33 2.45 2.57 2.64 2.64 2.57 2.46 2.37 2.30 2.25 2.20 2.10 1.96 1.79 1.64 1.54 1.55 1.65 1.84 2.05 2.22 2.27 2.18 1.97 1.70 1.43 1.21 1.07 0.98 0.92 0.88 0.87 0.89 0.95 1.01 1.04 1.00 0.93 0.86 0.84 0.90 1.01 1.12 1.17 1.15 1.07 20.0 + 22.5 0.76 0.63 0.54 0.50 0.50 0.49 0.47 0.42 0.37 0.33 0.31 0.33 0.40 0.54 0.76 1.05 1.39 1.71 1.98 2.15 2.23 2.22 2.17 2.10 2.04 2.02 2.08 2.20 2.36 2.52 2.63 2.66 2.61 2.51 2.40 2.29 2.17 2.05 1.89 1.71 1.53 1.39 1.33 1.36 1.50 1.69 1.89 2.03 2.06 1.95 1.74 1.46 1.20 1.00 0.86 0.77 0.70 0.65 0.63 0.64 0.68 0.71 0.70 0.63 0.53 0.47 0.50 0.61 0.78 0.91 0.95 0.89 0.76 0.63 0.54 0.50 0.50 0.49 0.47 0.42 0.37 0.33 0.31 0.33 0.40 0.54 0.76 1.05 1.39 1.71 1.98 2.15 2.23 2.22 2.17 2.10 2.04 2.02 2.08 2.20 2.36 2.52 2.63 2.66 2.61 2.51 2.40 2.29 2.17 2.05 1.89 1.71 1.53 1.39 1.33 1.36 1.50 1.69 1.89 2.03 2.06 1.95 1.74 1.46 1.20 1.00 0.86 0.77 0.70 0.65 0.63 0.64 0.68 0.71 0.70 0.63 0.53 0.47 0.50 0.61 0.78 0.91 0.95 0.89 0.76 22.5 + 25.0 0.40 0.24 0.14 0.12 0.14 0.15 0.12 0.08 0.03 0.01 0.01 0.03 0.09 0.19 0.35 0.60 0.90 1.24 1.55 1.79 1.95 2.02 2.03 2.01 2.01 2.05 2.16 2.33 2.53 2.72 2.86 2.90 2.86 2.76 2.61 2.44 2.25 2.04 1.82 1.59 1.40 1.27 1.22 1.26 1.38 1.54 1.69 1.79 1.79 1.68 1.47 1.23 0.99 0.81 0.66 0.55 0.46 0.39 0.34 0.34 0.36 0.37 0.33 0.23 0.13 0.08 0.14 0.30 0.50 0.64 0.67 0.57 0.40 0.24 0.14 0.12 0.14 0.15 0.12 0.08 0.03 0.01 0.01 0.03 0.09 0.19 0.35 0.60 0.90 1.24 1.55 1.79 1.95 2.02 2.03 2.01 2.01 2.05 2.16 2.33 2.53 2.72 2.86 2.90 2.86 2.76 2.61 2.44 2.25 2.04 1.82 1.59 1.40 1.27 1.22 1.26 1.38 1.54 1.69 1.79 1.79 1.68 1.47 1.23 0.99 0.81 0.66 0.55 0.46 0.39 0.34 0.34 0.36 0.37 0.33 0.23 0.13 0.08 0.14 0.30 0.50 0.64 0.67 0.57 0.40 25.0 + 27.5 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.22 0.49 0.81 1.16 1.47 1.73 1.91 2.03 2.12 2.22 2.36 2.56 2.79 3.03 3.23 3.36 3.40 3.35 3.22 3.03 2.79 2.52 2.23 1.95 1.69 1.49 1.36 1.29 1.29 1.33 1.40 1.47 1.50 1.46 1.35 1.18 0.98 0.79 0.63 0.50 0.38 0.26 0.17 0.11 0.10 0.11 0.10 0.04 0.00 0.00 0.00 0.00 0.03 0.23 0.37 0.37 0.25 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.22 0.49 0.81 1.16 1.47 1.73 1.91 2.03 2.12 2.22 2.36 2.56 2.79 3.03 3.23 3.36 3.40 3.35 3.22 3.03 2.79 2.52 2.23 1.95 1.69 1.49 1.36 1.29 1.29 1.33 1.40 1.47 1.50 1.46 1.35 1.18 0.98 0.79 0.63 0.50 0.38 0.26 0.17 0.11 0.10 0.11 0.10 0.04 0.00 0.00 0.00 0.00 0.03 0.23 0.37 0.37 0.25 0.06 27.5 + 30.0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.18 0.49 0.85 1.22 1.56 1.85 2.10 2.33 2.56 2.82 3.10 3.37 3.62 3.80 3.91 3.91 3.83 3.66 3.43 3.13 2.80 2.47 2.16 1.90 1.70 1.56 1.45 1.37 1.31 1.26 1.22 1.17 1.10 0.99 0.86 0.72 0.58 0.47 0.36 0.25 0.14 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.15 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.18 0.49 0.85 1.22 1.56 1.85 2.10 2.33 2.56 2.82 3.10 3.37 3.62 3.80 3.91 3.91 3.83 3.66 3.43 3.13 2.80 2.47 2.16 1.90 1.70 1.56 1.45 1.37 1.31 1.26 1.22 1.17 1.10 0.99 0.86 0.72 0.58 0.47 0.36 0.25 0.14 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.15 0.13 0.00 0.00 30.0 + 32.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.28 0.64 1.04 1.42 1.79 2.12 2.45 2.78 3.11 3.44 3.72 3.94 4.07 4.11 4.08 3.96 3.77 3.51 3.19 2.84 2.50 2.22 2.00 1.84 1.70 1.57 1.42 1.25 1.10 0.97 0.87 0.78 0.68 0.58 0.48 0.39 0.32 0.25 0.17 0.09 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.28 0.64 1.04 1.42 1.79 2.12 2.45 2.78 3.11 3.44 3.72 3.94 4.07 4.11 4.08 3.96 3.77 3.51 3.19 2.84 2.50 2.22 2.00 1.84 1.70 1.57 1.42 1.25 1.10 0.97 0.87 0.78 0.68 0.58 0.48 0.39 0.32 0.25 0.17 0.09 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.00 0.00 0.00 32.5 + 35.0 0.00 0.00 0.00 0.00 0.03 0.08 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.22 0.55 0.92 1.28 1.63 1.96 2.31 2.66 3.00 3.31 3.55 3.69 3.75 3.73 3.66 3.53 3.35 3.10 2.80 2.48 2.19 1.97 1.84 1.75 1.66 1.53 1.34 1.13 0.92 0.76 0.65 0.58 0.51 0.43 0.35 0.27 0.21 0.16 0.11 0.07 0.03 0.02 0.02 0.03 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.09 0.03 0.00 0.00 0.00 0.00 0.00 0.03 0.08 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.22 0.55 0.92 1.28 1.63 1.96 2.31 2.66 3.00 3.31 3.55 3.69 3.75 3.73 3.66 3.53 3.35 3.10 2.80 2.48 2.19 1.97 1.84 1.75 1.66 1.53 1.34 1.13 0.92 0.76 0.65 0.58 0.51 0.43 0.35 0.27 0.21 0.16 0.11 0.07 0.03 0.02 0.02 0.03 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.09 0.03 0.00 0.00 35.0 + 37.5 0.00 0.00 0.03 0.14 0.25 0.28 0.22 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.28 0.56 0.86 1.12 1.37 1.61 1.88 2.17 2.45 2.68 2.83 2.89 2.87 2.81 2.73 2.63 2.50 2.31 2.06 1.80 1.59 1.46 1.42 1.43 1.42 1.33 1.17 0.96 0.77 0.64 0.58 0.56 0.53 0.46 0.36 0.25 0.16 0.10 0.09 0.09 0.10 0.11 0.11 0.11 0.09 0.05 0.01 0.00 0.01 0.09 0.19 0.26 0.27 0.20 0.08 0.00 0.00 0.03 0.14 0.25 0.28 0.22 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.28 0.56 0.86 1.12 1.37 1.61 1.88 2.17 2.45 2.68 2.83 2.89 2.87 2.81 2.73 2.63 2.50 2.31 2.06 1.80 1.59 1.46 1.42 1.43 1.42 1.33 1.17 0.96 0.77 0.64 0.58 0.56 0.53 0.46 0.36 0.25 0.16 0.10 0.09 0.09 0.10 0.11 0.11 0.11 0.09 0.05 0.01 0.00 0.01 0.09 0.19 0.26 0.27 0.20 0.08 0.00 37.5 + 40.0 0.21 0.20 0.26 0.35 0.43 0.44 0.38 0.28 0.18 0.09 0.03 0.00 0.00 0.00 0.00 0.02 0.19 0.42 0.65 0.84 0.96 1.05 1.14 1.28 1.46 1.65 1.80 1.85 1.82 1.74 1.66 1.62 1.60 1.56 1.46 1.28 1.08 0.92 0.86 0.91 1.01 1.08 1.07 0.96 0.80 0.67 0.62 0.64 0.70 0.71 0.64 0.50 0.32 0.17 0.10 0.10 0.15 0.21 0.25 0.25 0.22 0.18 0.15 0.15 0.19 0.28 0.39 0.49 0.53 0.49 0.40 0.29 0.21 0.20 0.26 0.35 0.43 0.44 0.38 0.28 0.18 0.09 0.03 0.00 0.00 0.00 0.00 0.02 0.19 0.42 0.65 0.84 0.96 1.05 1.14 1.28 1.46 1.65 1.80 1.85 1.82 1.74 1.66 1.62 1.60 1.56 1.46 1.28 1.08 0.92 0.86 0.91 1.01 1.08 1.07 0.96 0.80 0.67 0.62 0.64 0.70 0.71 0.64 0.50 0.32 0.17 0.10 0.10 0.15 0.21 0.25 0.25 0.22 0.18 0.15 0.15 0.19 0.28 0.39 0.49 0.53 0.49 0.40 0.29 0.21 40.0 + 42.5 0.37 0.37 0.43 0.49 0.53 0.52 0.48 0.43 0.38 0.33 0.27 0.20 0.11 0.04 0.05 0.15 0.34 0.55 0.73 0.81 0.80 0.73 0.67 0.69 0.79 0.90 0.97 0.96 0.86 0.75 0.69 0.72 0.81 0.89 0.88 0.77 0.59 0.44 0.39 0.47 0.63 0.78 0.84 0.79 0.69 0.62 0.64 0.75 0.88 0.94 0.87 0.68 0.43 0.22 0.12 0.15 0.27 0.39 0.46 0.45 0.37 0.28 0.23 0.25 0.35 0.50 0.64 0.72 0.72 0.64 0.53 0.42 0.37 0.37 0.43 0.49 0.53 0.52 0.48 0.43 0.38 0.33 0.27 0.20 0.11 0.04 0.05 0.15 0.34 0.55 0.73 0.81 0.80 0.73 0.67 0.69 0.79 0.90 0.97 0.96 0.86 0.75 0.69 0.72 0.81 0.89 0.88 0.77 0.59 0.44 0.39 0.47 0.63 0.78 0.84 0.79 0.69 0.62 0.64 0.75 0.88 0.94 0.87 0.68 0.43 0.22 0.12 0.15 0.27 0.39 0.46 0.45 0.37 0.28 0.23 0.25 0.35 0.50 0.64 0.72 0.72 0.64 0.53 0.42 0.37 42.5 + 45.0 0.39 0.43 0.50 0.54 0.54 0.52 0.50 0.51 0.54 0.56 0.53 0.44 0.30 0.18 0.14 0.22 0.41 0.61 0.74 0.74 0.61 0.43 0.29 0.25 0.31 0.41 0.46 0.41 0.29 0.17 0.15 0.26 0.46 0.65 0.73 0.64 0.44 0.24 0.15 0.21 0.39 0.59 0.70 0.70 0.64 0.59 0.64 0.79 0.97 1.07 1.02 0.80 0.50 0.25 0.14 0.21 0.40 0.60 0.72 0.69 0.55 0.39 0.29 0.31 0.43 0.61 0.75 0.80 0.75 0.62 0.48 0.40 0.39 0.43 0.50 0.54 0.54 0.52 0.50 0.51 0.54 0.56 0.53 0.44 0.30 0.18 0.14 0.22 0.41 0.61 0.74 0.74 0.61 0.43 0.29 0.25 0.31 0.41 0.46 0.41 0.29 0.17 0.15 0.26 0.46 0.65 0.73 0.64 0.44 0.24 0.15 0.21 0.39 0.59 0.70 0.70 0.64 0.59 0.64 0.79 0.97 1.07 1.02 0.80 0.50 0.25 0.14 0.21 0.40 0.60 0.72 0.69 0.55 0.39 0.29 0.31 0.43 0.61 0.75 0.80 0.75 0.62 0.48 0.40 0.39 45.0 + 47.5 0.28 0.39 0.48 0.50 0.47 0.43 0.44 0.51 0.64 0.75 0.76 0.66 0.48 0.29 0.19 0.23 0.38 0.55 0.65 0.59 0.40 0.18 0.02 0.00 0.09 0.22 0.29 0.25 0.12 0.00 0.01 0.18 0.48 0.76 0.88 0.80 0.54 0.26 0.08 0.10 0.27 0.49 0.65 0.67 0.60 0.52 0.54 0.69 0.88 1.02 0.99 0.78 0.48 0.21 0.12 0.25 0.52 0.81 0.96 0.93 0.73 0.48 0.31 0.29 0.41 0.58 0.71 0.71 0.59 0.41 0.27 0.23 0.28 0.39 0.48 0.50 0.47 0.43 0.44 0.51 0.64 0.75 0.76 0.66 0.48 0.29 0.19 0.23 0.38 0.55 0.65 0.59 0.40 0.18 0.02 0.00 0.09 0.22 0.29 0.25 0.12 0.00 0.01 0.18 0.48 0.76 0.88 0.80 0.54 0.26 0.08 0.10 0.27 0.49 0.65 0.67 0.60 0.52 0.54 0.69 0.88 1.02 0.99 0.78 0.48 0.21 0.12 0.25 0.52 0.81 0.96 0.93 0.73 0.48 0.31 0.29 0.41 0.58 0.71 0.71 0.59 0.41 0.27 0.23 0.28 47.5 + 50.0 0.13 0.31 0.43 0.44 0.37 0.30 0.30 0.43 0.64 0.84 0.92 0.84 0.63 0.38 0.22 0.20 0.30 0.44 0.51 0.43 0.23 0.00 0.00 0.00 0.06 0.25 0.35 0.32 0.19 0.07 0.09 0.30 0.65 0.97 1.12 1.01 0.70 0.33 0.07 0.04 0.21 0.46 0.65 0.68 0.57 0.44 0.39 0.48 0.66 0.82 0.83 0.65 0.37 0.12 0.06 0.23 0.58 0.94 1.14 1.10 0.85 0.52 0.28 0.21 0.30 0.46 0.55 0.51 0.33 0.13 0.00 0.00 0.13 0.31 0.43 0.44 0.37 0.30 0.30 0.43 0.64 0.84 0.92 0.84 0.63 0.38 0.22 0.20 0.30 0.44 0.51 0.43 0.23 0.00 0.00 0.00 0.06 0.25 0.35 0.32 0.19 0.07 0.09 0.30 0.65 0.97 1.12 1.01 0.70 0.33 0.07 0.04 0.21 0.46 0.65 0.68 0.57 0.44 0.39 0.48 0.66 0.82 0.83 0.65 0.37 0.12 0.06 0.23 0.58 0.94 1.14 1.10 0.85 0.52 0.28 0.21 0.30 0.46 0.55 0.51 0.33 0.13 0.00 0.00 0.13 50.0 + 52.5 0.07 0.30 0.44 0.42 0.30 0.17 0.14 0.29 0.56 0.83 0.99 0.95 0.74 0.47 0.26 0.20 0.26 0.37 0.42 0.34 0.15 0.00 0.00 0.00 0.14 0.36 0.49 0.46 0.32 0.20 0.21 0.42 0.77 1.09 1.23 1.10 0.75 0.34 0.05 0.00 0.17 0.46 0.67 0.72 0.58 0.38 0.25 0.27 0.42 0.58 0.62 0.50 0.25 0.03 0.00 0.19 0.58 0.98 1.21 1.16 0.88 0.50 0.20 0.09 0.17 0.31 0.39 0.32 0.13 0.00 0.00 0.00 0.07 0.30 0.44 0.42 0.30 0.17 0.14 0.29 0.56 0.83 0.99 0.95 0.74 0.47 0.26 0.20 0.26 0.37 0.42 0.34 0.15 0.00 0.00 0.00 0.14 0.36 0.49 0.46 0.32 0.20 0.21 0.42 0.77 1.09 1.23 1.10 0.75 0.34 0.05 0.00 0.17 0.46 0.67 0.72 0.58 0.38 0.25 0.27 0.42 0.58 0.62 0.50 0.25 0.03 0.00 0.19 0.58 0.98 1.21 1.16 0.88 0.50 0.20 0.09 0.17 0.31 0.39 0.32 0.13 0.00 0.00 0.00 0.07 52.5 + 55.0 0.18 0.43 0.56 0.50 0.30 0.09 0.02 0.14 0.43 0.76 0.97 0.99 0.82 0.57 0.35 0.27 0.31 0.41 0.46 0.40 0.25 0.09 0.02 0.10 0.29 0.50 0.61 0.58 0.44 0.31 0.30 0.48 0.78 1.06 1.17 1.04 0.69 0.28 0.00 0.00 0.17 0.48 0.73 0.79 0.64 0.39 0.20 0.15 0.26 0.41 0.48 0.39 0.18 0.00 0.00 0.15 0.53 0.93 1.16 1.12 0.83 0.44 0.12 0.00 0.07 0.22 0.31 0.26 0.08 0.00 0.00 0.00 0.18 0.43 0.56 0.50 0.30 0.09 0.02 0.14 0.43 0.76 0.97 0.99 0.82 0.57 0.35 0.27 0.31 0.41 0.46 0.40 0.25 0.09 0.02 0.10 0.29 0.50 0.61 0.58 0.44 0.31 0.30 0.48 0.78 1.06 1.17 1.04 0.69 0.28 0.00 0.00 0.17 0.48 0.73 0.79 0.64 0.39 0.20 0.15 0.26 0.41 0.48 0.39 0.18 0.00 0.00 0.15 0.53 0.93 1.16 1.12 0.83 0.44 0.12 0.00 0.07 0.22 0.31 0.26 0.08 0.00 0.00 0.00 0.18 55.0 + 57.5 0.45 0.69 0.78 0.66 0.39 0.11 0.00 0.05 0.32 0.65 0.90 0.97 0.85 0.64 0.45 0.38 0.43 0.54 0.62 0.60 0.49 0.36 0.29 0.33 0.47 0.62 0.69 0.66 0.53 0.41 0.39 0.51 0.73 0.94 1.02 0.88 0.56 0.21 0.00 0.00 0.20 0.53 0.79 0.87 0.73 0.47 0.24 0.15 0.22 0.35 0.43 0.37 0.19 0.00 0.00 0.13 0.47 0.84 1.05 1.01 0.74 0.36 0.07 0.00 0.06 0.23 0.35 0.34 0.21 0.07 0.05 0.19 0.45 0.69 0.78 0.66 0.39 0.11 0.00 0.05 0.32 0.65 0.90 0.97 0.85 0.64 0.45 0.38 0.43 0.54 0.62 0.60 0.49 0.36 0.29 0.33 0.47 0.62 0.69 0.66 0.53 0.41 0.39 0.51 0.73 0.94 1.02 0.88 0.56 0.21 0.00 0.00 0.20 0.53 0.79 0.87 0.73 0.47 0.24 0.15 0.22 0.35 0.43 0.37 0.19 0.00 0.00 0.13 0.47 0.84 1.05 1.01 0.74 0.36 0.07 0.00 0.06 0.23 0.35 0.34 0.21 0.07 0.05 0.19 0.45 57.5 + 60.0 0.74 0.95 1.01 0.84 0.53 0.20 0.01 0.03 0.26 0.56 0.80 0.89 0.81 0.64 0.50 0.46 0.53 0.67 0.78 0.82 0.76 0.65 0.56 0.55 0.60 0.68 0.73 0.70 0.61 0.52 0.49 0.55 0.69 0.81 0.84 0.71 0.46 0.18 0.02 0.05 0.26 0.57 0.82 0.90 0.79 0.55 0.32 0.21 0.25 0.36 0.44 0.40 0.25 0.08 0.02 0.14 0.42 0.73 0.91 0.88 0.64 0.32 0.07 0.01 0.13 0.33 0.48 0.51 0.44 0.35 0.35 0.50 0.74 0.95 1.01 0.84 0.53 0.20 0.01 0.03 0.26 0.56 0.80 0.89 0.81 0.64 0.50 0.46 0.53 0.67 0.78 0.82 0.76 0.65 0.56 0.55 0.60 0.68 0.73 0.70 0.61 0.52 0.49 0.55 0.69 0.81 0.84 0.71 0.46 0.18 0.02 0.05 0.26 0.57 0.82 0.90 0.79 0.55 0.32 0.21 0.25 0.36 0.44 0.40 0.25 0.08 0.02 0.14 0.42 0.73 0.91 0.88 0.64 0.32 0.07 0.01 0.13 0.33 0.48 0.51 0.44 0.35 0.35 0.50 0.74 60.0 + 62.5 0.92 1.09 1.11 0.94 0.62 0.30 0.09 0.08 0.25 0.49 0.69 0.76 0.69 0.56 0.44 0.42 0.51 0.67 0.82 0.90 0.88 0.80 0.69 0.61 0.60 0.62 0.66 0.66 0.63 0.59 0.56 0.57 0.63 0.67 0.66 0.55 0.37 0.18 0.07 0.11 0.30 0.56 0.78 0.86 0.77 0.58 0.38 0.28 0.30 0.40 0.47 0.45 0.34 0.19 0.12 0.20 0.40 0.64 0.79 0.76 0.57 0.31 0.13 0.11 0.25 0.46 0.62 0.67 0.62 0.56 0.57 0.71 0.92 1.09 1.11 0.94 0.62 0.30 0.09 0.08 0.25 0.49 0.69 0.76 0.69 0.56 0.44 0.42 0.51 0.67 0.82 0.90 0.88 0.80 0.69 0.61 0.60 0.62 0.66 0.66 0.63 0.59 0.56 0.57 0.63 0.67 0.66 0.55 0.37 0.18 0.07 0.11 0.30 0.56 0.78 0.86 0.77 0.58 0.38 0.28 0.30 0.40 0.47 0.45 0.34 0.19 0.12 0.20 0.40 0.64 0.79 0.76 0.57 0.31 0.13 0.11 0.25 0.46 0.62 0.67 0.62 0.56 0.57 0.71 0.92 62.5 + 65.0 0.88 1.01 1.02 0.87 0.61 0.34 0.17 0.15 0.27 0.45 0.59 0.62 0.54 0.40 0.29 0.27 0.35 0.50 0.67 0.77 0.78 0.70 0.58 0.46 0.40 0.40 0.45 0.51 0.54 0.54 0.51 0.49 0.48 0.48 0.46 0.39 0.28 0.17 0.11 0.15 0.30 0.51 0.69 0.78 0.74 0.61 0.47 0.40 0.43 0.52 0.60 0.61 0.52 0.39 0.31 0.33 0.47 0.63 0.73 0.70 0.55 0.36 0.23 0.24 0.38 0.57 0.72 0.75 0.69 0.62 0.61 0.71 0.88 1.01 1.02 0.87 0.61 0.34 0.17 0.15 0.27 0.45 0.59 0.62 0.54 0.40 0.29 0.27 0.35 0.50 0.67 0.77 0.78 0.70 0.58 0.46 0.40 0.40 0.45 0.51 0.54 0.54 0.51 0.49 0.48 0.48 0.46 0.39 0.28 0.17 0.11 0.15 0.30 0.51 0.69 0.78 0.74 0.61 0.47 0.40 0.43 0.52 0.60 0.61 0.52 0.39 0.31 0.33 0.47 0.63 0.73 0.70 0.55 0.36 0.23 0.24 0.38 0.57 0.72 0.75 0.69 0.62 0.61 0.71 0.88 65.0 + 67.5 0.66 0.76 0.78 0.68 0.49 0.31 0.20 0.20 0.30 0.43 0.52 0.52 0.42 0.27 0.13 0.08 0.13 0.25 0.40 0.51 0.52 0.44 0.29 0.15 0.07 0.08 0.16 0.26 0.34 0.36 0.33 0.29 0.25 0.24 0.25 0.25 0.22 0.18 0.16 0.20 0.32 0.50 0.68 0.80 0.82 0.78 0.72 0.71 0.78 0.90 1.00 1.02 0.94 0.80 0.68 0.63 0.67 0.75 0.80 0.75 0.61 0.46 0.37 0.40 0.52 0.68 0.77 0.76 0.66 0.55 0.50 0.55 0.66 0.76 0.78 0.68 0.49 0.31 0.20 0.20 0.30 0.43 0.52 0.52 0.42 0.27 0.13 0.08 0.13 0.25 0.40 0.51 0.52 0.44 0.29 0.15 0.07 0.08 0.16 0.26 0.34 0.36 0.33 0.29 0.25 0.24 0.25 0.25 0.22 0.18 0.16 0.20 0.32 0.50 0.68 0.80 0.82 0.78 0.72 0.71 0.78 0.90 1.00 1.02 0.94 0.80 0.68 0.63 0.67 0.75 0.80 0.75 0.61 0.46 0.37 0.40 0.52 0.68 0.77 0.76 0.66 0.55 0.50 0.55 0.66 67.5 + 70.0 0.41 0.48 0.50 0.44 0.33 0.23 0.18 0.22 0.32 0.44 0.51 0.50 0.39 0.24 0.08 0.00 0.00 0.08 0.21 0.30 0.30 0.21 0.04 0.00 0.00 0.00 0.00 0.06 0.16 0.17 0.13 0.06 0.04 0.07 0.15 0.23 0.29 0.30 0.31 0.36 0.49 0.68 0.90 1.09 1.21 1.26 1.30 1.38 1.51 1.68 1.80 1.83 1.72 1.52 1.31 1.15 1.08 1.06 1.03 0.94 0.80 0.65 0.57 0.59 0.69 0.80 0.84 0.77 0.62 0.46 0.36 0.35 0.41 0.48 0.50 0.44 0.33 0.23 0.18 0.22 0.32 0.44 0.51 0.50 0.39 0.24 0.08 0.00 0.00 0.08 0.21 0.30 0.30 0.21 0.04 0.00 0.00 0.00 0.00 0.06 0.16 0.17 0.13 0.06 0.04 0.07 0.15 0.23 0.29 0.30 0.31 0.36 0.49 0.68 0.90 1.09 1.21 1.26 1.30 1.38 1.51 1.68 1.80 1.83 1.72 1.52 1.31 1.15 1.08 1.06 1.03 0.94 0.80 0.65 0.57 0.59 0.69 0.80 0.84 0.77 0.62 0.46 0.36 0.35 0.41 70.0 + 72.5 0.27 0.30 0.31 0.27 0.21 0.16 0.15 0.21 0.32 0.45 0.54 0.56 0.49 0.34 0.18 0.06 0.03 0.10 0.23 0.33 0.34 0.24 0.05 0.00 0.00 0.00 0.00 0.10 0.18 0.16 0.08 0.00 0.00 0.10 0.27 0.46 0.59 0.65 0.67 0.73 0.87 1.11 1.40 1.69 1.92 2.08 2.23 2.41 2.63 2.87 3.03 3.03 2.86 2.54 2.18 1.87 1.66 1.53 1.42 1.28 1.10 0.92 0.82 0.81 0.88 0.96 0.97 0.87 0.68 0.48 0.33 0.26 0.27 0.30 0.31 0.27 0.21 0.16 0.15 0.21 0.32 0.45 0.54 0.56 0.49 0.34 0.18 0.06 0.03 0.10 0.23 0.33 0.34 0.24 0.05 0.00 0.00 0.00 0.00 0.10 0.18 0.16 0.08 0.00 0.00 0.10 0.27 0.46 0.59 0.65 0.67 0.73 0.87 1.11 1.40 1.69 1.92 2.08 2.23 2.41 2.63 2.87 3.03 3.03 2.86 2.54 2.18 1.87 1.66 1.53 1.42 1.28 1.10 0.92 0.82 0.81 0.88 0.96 0.97 0.87 0.68 0.48 0.33 0.26 0.27 72.5 + 75.0 0.28 0.28 0.27 0.24 0.18 0.14 0.13 0.17 0.28 0.42 0.56 0.64 0.63 0.53 0.37 0.24 0.20 0.30 0.47 0.64 0.70 0.61 0.43 0.23 0.14 0.18 0.32 0.46 0.51 0.44 0.30 0.20 0.23 0.40 0.67 0.94 1.12 1.19 1.20 1.25 1.40 1.70 2.07 2.45 2.77 3.03 3.28 3.56 3.89 4.21 4.41 4.39 4.12 3.64 3.10 2.62 2.27 2.05 1.88 1.69 1.46 1.23 1.07 1.02 1.07 1.14 1.15 1.04 0.85 0.62 0.43 0.32 0.28 0.28 0.27 0.24 0.18 0.14 0.13 0.17 0.28 0.42 0.56 0.64 0.63 0.53 0.37 0.24 0.20 0.30 0.47 0.64 0.70 0.61 0.43 0.23 0.14 0.18 0.32 0.46 0.51 0.44 0.30 0.20 0.23 0.40 0.67 0.94 1.12 1.19 1.20 1.25 1.40 1.70 2.07 2.45 2.77 3.03 3.28 3.56 3.89 4.21 4.41 4.39 4.12 3.64 3.10 2.62 2.27 2.05 1.88 1.69 1.46 1.23 1.07 1.02 1.07 1.14 1.15 1.04 0.85 0.62 0.43 0.32 0.28 75.0 + 77.5 0.37 0.34 0.32 0.28 0.21 0.14 0.08 0.08 0.15 0.30 0.49 0.65 0.71 0.64 0.50 0.37 0.35 0.50 0.78 1.06 1.23 1.21 1.05 0.85 0.73 0.77 0.91 1.04 1.06 0.93 0.74 0.61 0.64 0.87 1.21 1.53 1.72 1.76 1.72 1.72 1.86 2.18 2.61 3.06 3.44 3.76 4.07 4.43 4.86 5.27 5.53 5.49 5.11 4.47 3.75 3.11 2.66 2.40 2.21 2.01 1.74 1.46 1.23 1.13 1.16 1.24 1.28 1.21 1.03 0.80 0.59 0.45 0.37 0.34 0.32 0.28 0.21 0.14 0.08 0.08 0.15 0.30 0.49 0.65 0.71 0.64 0.50 0.37 0.35 0.50 0.78 1.06 1.23 1.21 1.05 0.85 0.73 0.77 0.91 1.04 1.06 0.93 0.74 0.61 0.64 0.87 1.21 1.53 1.72 1.76 1.72 1.72 1.86 2.18 2.61 3.06 3.44 3.76 4.07 4.43 4.86 5.27 5.53 5.49 5.11 4.47 3.75 3.11 2.66 2.40 2.21 2.01 1.74 1.46 1.23 1.13 1.16 1.24 1.28 1.21 1.03 0.80 0.59 0.45 0.37 77.5 + 80.0 0.39 0.35 0.34 0.30 0.23 0.11 0.00 0.00 0.00 0.06 0.27 0.49 0.61 0.58 0.43 0.29 0.29 0.51 0.92 1.37 1.69 1.78 1.65 1.44 1.31 1.32 1.45 1.57 1.57 1.40 1.16 0.98 1.01 1.25 1.62 1.96 2.13 2.11 1.98 1.90 2.00 2.30 2.75 3.21 3.61 3.94 4.26 4.66 5.17 5.66 5.98 5.93 5.48 4.71 3.84 3.09 2.60 2.36 2.23 2.06 1.80 1.48 1.19 1.04 1.05 1.16 1.25 1.23 1.10 0.88 0.66 0.49 0.39 0.35 0.34 0.30 0.23 0.11 0.00 0.00 0.00 0.06 0.27 0.49 0.61 0.58 0.43 0.29 0.29 0.51 0.92 1.37 1.69 1.78 1.65 1.44 1.31 1.32 1.45 1.57 1.57 1.40 1.16 0.98 1.01 1.25 1.62 1.96 2.13 2.11 1.98 1.90 2.00 2.30 2.75 3.21 3.61 3.94 4.26 4.66 5.17 5.66 5.98 5.93 5.48 4.71 3.84 3.09 2.60 2.36 2.23 2.06 1.80 1.48 1.19 1.04 1.05 1.16 1.25 1.23 1.10 0.88 0.66 0.49 0.39 80.0 + 82.5 0.24 0.21 0.23 0.23 0.16 0.02 0.00 0.00 0.00 0.00 0.00 0.20 0.35 0.32 0.15 0.00 0.00 0.25 0.79 1.41 1.90 2.10 2.02 1.80 1.62 1.59 1.69 1.80 1.79 1.60 1.32 1.10 1.10 1.33 1.71 2.04 2.18 2.09 1.87 1.69 1.71 1.97 2.39 2.84 3.20 3.48 3.77 4.17 4.70 5.25 5.62 5.59 5.09 4.24 3.28 2.49 2.02 1.86 1.84 1.77 1.55 1.22 0.90 0.71 0.71 0.84 0.99 1.04 0.95 0.75 0.53 0.34 0.24 0.21 0.23 0.23 0.16 0.02 0.00 0.00 0.00 0.00 0.00 0.20 0.35 0.32 0.15 0.00 0.00 0.25 0.79 1.41 1.90 2.10 2.02 1.80 1.62 1.59 1.69 1.80 1.79 1.60 1.32 1.10 1.10 1.33 1.71 2.04 2.18 2.09 1.87 1.69 1.71 1.97 2.39 2.84 3.20 3.48 3.77 4.17 4.70 5.25 5.62 5.59 5.09 4.24 3.28 2.49 2.02 1.86 1.84 1.77 1.55 1.22 0.90 0.71 0.71 0.84 0.99 1.04 0.95 0.75 0.53 0.34 0.24 82.5 + 85.0 0.00 0.00 0.00 0.06 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.01 0.00 0.00 0.00 0.00 0.47 1.25 1.89 2.20 2.16 1.90 1.65 1.54 1.60 1.69 1.67 1.48 1.17 0.92 0.88 1.09 1.46 1.78 1.90 1.76 1.47 1.21 1.15 1.35 1.72 2.12 2.43 2.64 2.85 3.19 3.70 4.27 4.66 4.65 4.15 3.26 2.27 1.48 1.07 1.01 1.13 1.18 1.05 0.75 0.41 0.20 0.20 0.36 0.56 0.67 0.63 0.46 0.23 0.04 0.00 0.00 0.00 0.06 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.01 0.00 0.00 0.00 0.00 0.47 1.25 1.89 2.20 2.16 1.90 1.65 1.54 1.60 1.69 1.67 1.48 1.17 0.92 0.88 1.09 1.46 1.78 1.90 1.76 1.47 1.21 1.15 1.35 1.72 2.12 2.43 2.64 2.85 3.19 3.70 4.27 4.66 4.65 4.15 3.26 2.27 1.48 1.07 1.01 1.13 1.18 1.05 0.75 0.41 0.20 0.20 0.36 0.56 0.67 0.63 0.46 0.23 0.04 0.00 85.0 + 87.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.27 1.16 1.91 2.31 2.28 1.98 1.63 1.42 1.39 1.44 1.41 1.21 0.89 0.62 0.54 0.73 1.09 1.42 1.54 1.38 1.05 0.73 0.61 0.76 1.09 1.45 1.71 1.84 1.95 2.20 2.63 3.16 3.55 3.55 3.07 2.19 1.21 0.44 0.08 0.12 0.34 0.52 0.47 0.21 0.00 0.00 0.00 0.00 0.09 0.26 0.27 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.27 1.16 1.91 2.31 2.28 1.98 1.63 1.42 1.39 1.44 1.41 1.21 0.89 0.62 0.54 0.73 1.09 1.42 1.54 1.38 1.05 0.73 0.61 0.76 1.09 1.45 1.71 1.84 1.95 2.20 2.63 3.16 3.55 3.55 3.07 2.19 1.21 0.44 0.08 0.12 0.34 0.52 0.47 0.21 0.00 0.00 0.00 0.00 0.09 0.26 0.27 0.13 0.00 0.00 0.00 87.5 + 90.0 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.02 0.00 0.00 0.00 0.00 0.48 1.43 2.27 2.72 2.70 2.34 1.89 1.57 1.44 1.42 1.35 1.13 0.80 0.50 0.39 0.55 0.90 1.23 1.37 1.23 0.90 0.55 0.39 0.50 0.80 1.13 1.35 1.42 1.44 1.57 1.89 2.34 2.70 2.72 2.27 1.43 0.48 0.00 0.00 0.00 0.00 0.02 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.02 0.00 0.00 0.00 0.00 0.48 1.43 2.27 2.72 2.70 2.34 1.89 1.57 1.44 1.42 1.35 1.13 0.80 0.50 0.39 0.55 0.90 1.23 1.37 1.23 0.90 0.55 0.39 0.50 0.80 1.13 1.35 1.42 1.44 1.57 1.89 2.34 2.70 2.72 2.27 1.43 0.48 0.00 0.00 0.00 0.00 0.02 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 90.0 + + 55.0 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.81 ) PHI2 = 55. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.0 + 2.5 0.27 0.36 0.37 0.36 0.39 0.49 0.64 0.84 1.05 1.28 1.52 1.77 2.02 2.20 2.28 2.24 2.08 1.86 1.62 1.38 1.15 0.93 0.72 0.55 0.44 0.39 0.38 0.34 0.24 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.25 0.36 0.40 0.41 0.45 0.56 0.72 0.92 1.14 1.37 1.60 1.84 2.06 2.21 2.25 2.17 1.99 1.76 1.51 1.27 1.05 0.84 0.64 0.49 0.41 0.39 0.40 0.38 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.27 0.36 0.37 0.36 0.39 0.49 0.64 0.84 1.05 1.28 1.52 1.77 2.02 2.20 2.28 2.24 2.08 1.86 1.62 1.38 1.15 0.93 0.72 0.55 0.44 0.39 0.38 0.34 0.24 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.25 0.36 0.40 0.41 0.45 0.56 0.72 0.92 1.14 1.37 1.60 1.84 2.06 2.21 2.25 2.17 1.99 1.76 1.51 1.27 1.05 0.84 0.64 0.49 0.41 0.39 0.40 0.38 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.27 2.5 + 5.0 0.41 0.43 0.39 0.33 0.31 0.37 0.50 0.68 0.89 1.14 1.41 1.71 2.02 2.27 2.41 2.41 2.28 2.05 1.78 1.52 1.27 1.03 0.82 0.64 0.52 0.46 0.44 0.42 0.33 0.17 0.00 0.00 0.00 0.00 0.00 0.16 0.35 0.46 0.50 0.51 0.54 0.63 0.79 0.99 1.22 1.47 1.73 1.98 2.18 2.30 2.29 2.17 1.94 1.66 1.38 1.12 0.88 0.67 0.50 0.40 0.37 0.41 0.47 0.50 0.44 0.29 0.10 0.00 0.00 0.00 0.11 0.29 0.41 0.43 0.39 0.33 0.31 0.37 0.50 0.68 0.89 1.14 1.41 1.71 2.02 2.27 2.41 2.41 2.28 2.05 1.78 1.52 1.27 1.03 0.82 0.64 0.52 0.46 0.44 0.42 0.33 0.17 0.00 0.00 0.00 0.00 0.00 0.16 0.35 0.46 0.50 0.51 0.54 0.63 0.79 0.99 1.22 1.47 1.73 1.98 2.18 2.30 2.29 2.17 1.94 1.66 1.38 1.12 0.88 0.67 0.50 0.40 0.37 0.41 0.47 0.50 0.44 0.29 0.10 0.00 0.00 0.00 0.11 0.29 0.41 5.0 + 7.5 0.61 0.57 0.46 0.35 0.28 0.30 0.39 0.54 0.74 0.98 1.29 1.64 2.00 2.33 2.55 2.61 2.53 2.32 2.04 1.76 1.50 1.26 1.06 0.89 0.77 0.71 0.70 0.68 0.63 0.51 0.35 0.19 0.11 0.13 0.27 0.45 0.62 0.72 0.75 0.75 0.75 0.81 0.93 1.11 1.35 1.62 1.90 2.15 2.33 2.39 2.32 2.14 1.86 1.56 1.25 0.97 0.73 0.54 0.40 0.36 0.40 0.50 0.62 0.69 0.67 0.57 0.42 0.30 0.27 0.33 0.45 0.56 0.61 0.57 0.46 0.35 0.28 0.30 0.39 0.54 0.74 0.98 1.29 1.64 2.00 2.33 2.55 2.61 2.53 2.32 2.04 1.76 1.50 1.26 1.06 0.89 0.77 0.71 0.70 0.68 0.63 0.51 0.35 0.19 0.11 0.13 0.27 0.45 0.62 0.72 0.75 0.75 0.75 0.81 0.93 1.11 1.35 1.62 1.90 2.15 2.33 2.39 2.32 2.14 1.86 1.56 1.25 0.97 0.73 0.54 0.40 0.36 0.40 0.50 0.62 0.69 0.67 0.57 0.42 0.30 0.27 0.33 0.45 0.56 0.61 7.5 + 10.0 0.84 0.75 0.61 0.47 0.37 0.34 0.39 0.50 0.66 0.88 1.18 1.54 1.95 2.33 2.63 2.77 2.75 2.59 2.35 2.08 1.84 1.64 1.47 1.33 1.23 1.19 1.18 1.19 1.17 1.09 0.96 0.82 0.72 0.71 0.79 0.93 1.07 1.15 1.16 1.13 1.08 1.08 1.14 1.29 1.52 1.79 2.07 2.30 2.43 2.43 2.30 2.07 1.78 1.47 1.18 0.91 0.69 0.53 0.44 0.45 0.54 0.70 0.84 0.92 0.92 0.83 0.72 0.65 0.64 0.71 0.80 0.85 0.84 0.75 0.61 0.47 0.37 0.34 0.39 0.50 0.66 0.88 1.18 1.54 1.95 2.33 2.63 2.77 2.75 2.59 2.35 2.08 1.84 1.64 1.47 1.33 1.23 1.19 1.18 1.19 1.17 1.09 0.96 0.82 0.72 0.71 0.79 0.93 1.07 1.15 1.16 1.13 1.08 1.08 1.14 1.29 1.52 1.79 2.07 2.30 2.43 2.43 2.30 2.07 1.78 1.47 1.18 0.91 0.69 0.53 0.44 0.45 0.54 0.70 0.84 0.92 0.92 0.83 0.72 0.65 0.64 0.71 0.80 0.85 0.84 10.0 + 12.5 1.04 0.93 0.79 0.66 0.56 0.51 0.51 0.56 0.67 0.83 1.08 1.42 1.82 2.23 2.58 2.80 2.86 2.78 2.60 2.40 2.21 2.06 1.94 1.85 1.78 1.76 1.77 1.80 1.81 1.78 1.67 1.54 1.42 1.36 1.39 1.48 1.58 1.63 1.61 1.53 1.43 1.36 1.37 1.48 1.68 1.93 2.19 2.38 2.45 2.39 2.21 1.95 1.67 1.40 1.16 0.94 0.77 0.64 0.60 0.65 0.78 0.94 1.07 1.12 1.09 1.01 0.94 0.90 0.93 1.00 1.06 1.08 1.04 0.93 0.79 0.66 0.56 0.51 0.51 0.56 0.67 0.83 1.08 1.42 1.82 2.23 2.58 2.80 2.86 2.78 2.60 2.40 2.21 2.06 1.94 1.85 1.78 1.76 1.77 1.80 1.81 1.78 1.67 1.54 1.42 1.36 1.39 1.48 1.58 1.63 1.61 1.53 1.43 1.36 1.37 1.48 1.68 1.93 2.19 2.38 2.45 2.39 2.21 1.95 1.67 1.40 1.16 0.94 0.77 0.64 0.60 0.65 0.78 0.94 1.07 1.12 1.09 1.01 0.94 0.90 0.93 1.00 1.06 1.08 1.04 12.5 + 15.0 1.14 1.03 0.92 0.82 0.74 0.68 0.66 0.66 0.70 0.79 0.97 1.24 1.59 1.99 2.36 2.65 2.80 2.81 2.73 2.61 2.49 2.39 2.31 2.24 2.20 2.19 2.22 2.28 2.32 2.32 2.24 2.11 1.97 1.88 1.87 1.91 1.97 1.99 1.93 1.81 1.66 1.54 1.51 1.59 1.77 2.01 2.23 2.38 2.39 2.27 2.05 1.79 1.54 1.33 1.15 1.00 0.88 0.80 0.80 0.87 0.99 1.12 1.20 1.20 1.14 1.06 1.01 1.02 1.08 1.16 1.20 1.20 1.14 1.03 0.92 0.82 0.74 0.68 0.66 0.66 0.70 0.79 0.97 1.24 1.59 1.99 2.36 2.65 2.80 2.81 2.73 2.61 2.49 2.39 2.31 2.24 2.20 2.19 2.22 2.28 2.32 2.32 2.24 2.11 1.97 1.88 1.87 1.91 1.97 1.99 1.93 1.81 1.66 1.54 1.51 1.59 1.77 2.01 2.23 2.38 2.39 2.27 2.05 1.79 1.54 1.33 1.15 1.00 0.88 0.80 0.80 0.87 0.99 1.12 1.20 1.20 1.14 1.06 1.01 1.02 1.08 1.16 1.20 1.20 1.14 15.0 + 17.5 1.09 1.00 0.91 0.85 0.80 0.75 0.70 0.67 0.65 0.68 0.79 0.98 1.27 1.62 1.99 2.32 2.54 2.66 2.68 2.64 2.58 2.51 2.44 2.38 2.33 2.33 2.37 2.46 2.53 2.56 2.50 2.38 2.24 2.13 2.09 2.09 2.11 2.08 1.99 1.84 1.67 1.54 1.51 1.59 1.77 2.00 2.20 2.31 2.27 2.11 1.87 1.61 1.39 1.22 1.10 1.00 0.92 0.88 0.89 0.97 1.07 1.15 1.17 1.11 1.02 0.95 0.94 1.00 1.10 1.18 1.21 1.17 1.09 1.00 0.91 0.85 0.80 0.75 0.70 0.67 0.65 0.68 0.79 0.98 1.27 1.62 1.99 2.32 2.54 2.66 2.68 2.64 2.58 2.51 2.44 2.38 2.33 2.33 2.37 2.46 2.53 2.56 2.50 2.38 2.24 2.13 2.09 2.09 2.11 2.08 1.99 1.84 1.67 1.54 1.51 1.59 1.77 2.00 2.20 2.31 2.27 2.11 1.87 1.61 1.39 1.22 1.10 1.00 0.92 0.88 0.89 0.97 1.07 1.15 1.17 1.11 1.02 0.95 0.94 1.00 1.10 1.18 1.21 1.17 1.09 17.5 + 20.0 0.90 0.80 0.73 0.70 0.67 0.63 0.58 0.52 0.48 0.48 0.53 0.66 0.88 1.17 1.51 1.85 2.14 2.34 2.45 2.49 2.47 2.42 2.34 2.26 2.21 2.21 2.27 2.38 2.49 2.55 2.52 2.42 2.29 2.16 2.09 2.05 2.01 1.94 1.81 1.64 1.48 1.38 1.38 1.49 1.69 1.92 2.11 2.19 2.12 1.93 1.68 1.42 1.22 1.07 0.98 0.90 0.84 0.81 0.83 0.89 0.96 0.99 0.95 0.86 0.76 0.72 0.76 0.88 1.01 1.09 1.09 1.01 0.90 0.80 0.73 0.70 0.67 0.63 0.58 0.52 0.48 0.48 0.53 0.66 0.88 1.17 1.51 1.85 2.14 2.34 2.45 2.49 2.47 2.42 2.34 2.26 2.21 2.21 2.27 2.38 2.49 2.55 2.52 2.42 2.29 2.16 2.09 2.05 2.01 1.94 1.81 1.64 1.48 1.38 1.38 1.49 1.69 1.92 2.11 2.19 2.12 1.93 1.68 1.42 1.22 1.07 0.98 0.90 0.84 0.81 0.83 0.89 0.96 0.99 0.95 0.86 0.76 0.72 0.76 0.88 1.01 1.09 1.09 1.01 0.90 20.0 + 22.5 0.60 0.49 0.43 0.41 0.40 0.36 0.31 0.25 0.21 0.20 0.23 0.32 0.48 0.71 1.01 1.34 1.66 1.93 2.13 2.24 2.27 2.24 2.17 2.09 2.05 2.08 2.17 2.31 2.46 2.54 2.54 2.45 2.32 2.18 2.06 1.97 1.86 1.73 1.56 1.39 1.25 1.18 1.22 1.36 1.57 1.80 1.96 2.02 1.94 1.75 1.50 1.25 1.05 0.91 0.80 0.71 0.64 0.61 0.62 0.66 0.70 0.70 0.62 0.51 0.42 0.42 0.53 0.70 0.85 0.92 0.87 0.75 0.60 0.49 0.43 0.41 0.40 0.36 0.31 0.25 0.21 0.20 0.23 0.32 0.48 0.71 1.01 1.34 1.66 1.93 2.13 2.24 2.27 2.24 2.17 2.09 2.05 2.08 2.17 2.31 2.46 2.54 2.54 2.45 2.32 2.18 2.06 1.97 1.86 1.73 1.56 1.39 1.25 1.18 1.22 1.36 1.57 1.80 1.96 2.02 1.94 1.75 1.50 1.25 1.05 0.91 0.80 0.71 0.64 0.61 0.62 0.66 0.70 0.70 0.62 0.51 0.42 0.42 0.53 0.70 0.85 0.92 0.87 0.75 0.60 22.5 + 25.0 0.26 0.15 0.10 0.10 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.02 0.13 0.30 0.54 0.85 1.18 1.51 1.79 1.98 2.09 2.13 2.11 2.09 2.11 2.19 2.34 2.52 2.69 2.78 2.79 2.70 2.55 2.38 2.21 2.03 1.84 1.63 1.42 1.24 1.12 1.08 1.14 1.27 1.45 1.63 1.76 1.79 1.71 1.53 1.31 1.09 0.90 0.75 0.63 0.51 0.42 0.37 0.37 0.40 0.42 0.38 0.28 0.16 0.09 0.13 0.28 0.49 0.65 0.70 0.61 0.44 0.26 0.15 0.10 0.10 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.02 0.13 0.30 0.54 0.85 1.18 1.51 1.79 1.98 2.09 2.13 2.11 2.09 2.11 2.19 2.34 2.52 2.69 2.78 2.79 2.70 2.55 2.38 2.21 2.03 1.84 1.63 1.42 1.24 1.12 1.08 1.14 1.27 1.45 1.63 1.76 1.79 1.71 1.53 1.31 1.09 0.90 0.75 0.63 0.51 0.42 0.37 0.37 0.40 0.42 0.38 0.28 0.16 0.09 0.13 0.28 0.49 0.65 0.70 0.61 0.44 0.26 25.0 + 27.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.18 0.44 0.78 1.15 1.50 1.80 2.02 2.16 2.26 2.35 2.48 2.66 2.87 3.08 3.25 3.33 3.31 3.20 3.02 2.79 2.54 2.27 1.99 1.72 1.48 1.30 1.18 1.14 1.16 1.23 1.33 1.43 1.49 1.48 1.40 1.26 1.08 0.91 0.75 0.61 0.48 0.35 0.25 0.19 0.17 0.19 0.20 0.14 0.03 0.00 0.00 0.00 0.07 0.28 0.43 0.45 0.33 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.18 0.44 0.78 1.15 1.50 1.80 2.02 2.16 2.26 2.35 2.48 2.66 2.87 3.08 3.25 3.33 3.31 3.20 3.02 2.79 2.54 2.27 1.99 1.72 1.48 1.30 1.18 1.14 1.16 1.23 1.33 1.43 1.49 1.48 1.40 1.26 1.08 0.91 0.75 0.61 0.48 0.35 0.25 0.19 0.17 0.19 0.20 0.14 0.03 0.00 0.00 0.00 0.07 0.28 0.43 0.45 0.33 0.14 0.00 27.5 + 30.0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.49 0.88 1.30 1.69 2.02 2.29 2.53 2.76 3.01 3.28 3.54 3.76 3.90 3.94 3.87 3.72 3.49 3.21 2.89 2.55 2.21 1.90 1.65 1.47 1.36 1.29 1.25 1.22 1.20 1.18 1.16 1.12 1.05 0.94 0.82 0.70 0.59 0.48 0.37 0.26 0.16 0.10 0.09 0.10 0.09 0.03 0.00 0.00 0.00 0.00 0.00 0.11 0.23 0.22 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.49 0.88 1.30 1.69 2.02 2.29 2.53 2.76 3.01 3.28 3.54 3.76 3.90 3.94 3.87 3.72 3.49 3.21 2.89 2.55 2.21 1.90 1.65 1.47 1.36 1.29 1.25 1.22 1.20 1.18 1.16 1.12 1.05 0.94 0.82 0.70 0.59 0.48 0.37 0.26 0.16 0.10 0.09 0.10 0.09 0.03 0.00 0.00 0.00 0.00 0.00 0.11 0.23 0.22 0.09 0.00 0.00 30.0 + 32.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.32 0.72 1.16 1.60 2.00 2.36 2.70 3.03 3.38 3.70 3.98 4.17 4.26 4.23 4.11 3.91 3.65 3.34 2.98 2.61 2.25 1.96 1.74 1.60 1.50 1.41 1.30 1.16 1.03 0.92 0.84 0.77 0.71 0.64 0.57 0.49 0.42 0.36 0.29 0.21 0.14 0.10 0.09 0.10 0.08 0.01 0.00 0.00 0.00 0.00 0.00 0.03 0.11 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.32 0.72 1.16 1.60 2.00 2.36 2.70 3.03 3.38 3.70 3.98 4.17 4.26 4.23 4.11 3.91 3.65 3.34 2.98 2.61 2.25 1.96 1.74 1.60 1.50 1.41 1.30 1.16 1.03 0.92 0.84 0.77 0.71 0.64 0.57 0.49 0.42 0.36 0.29 0.21 0.14 0.10 0.09 0.10 0.08 0.01 0.00 0.00 0.00 0.00 0.00 0.03 0.11 0.08 0.00 0.00 0.00 32.5 + 35.0 0.00 0.00 0.00 0.01 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.28 0.65 1.07 1.48 1.87 2.23 2.59 2.95 3.30 3.63 3.87 4.00 4.01 3.92 3.76 3.55 3.30 3.00 2.66 2.31 2.00 1.76 1.62 1.54 1.49 1.40 1.24 1.04 0.84 0.68 0.58 0.53 0.50 0.45 0.40 0.34 0.29 0.25 0.22 0.18 0.16 0.14 0.14 0.13 0.11 0.04 0.00 0.00 0.00 0.00 0.00 0.07 0.11 0.05 0.00 0.00 0.00 0.00 0.00 0.01 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.28 0.65 1.07 1.48 1.87 2.23 2.59 2.95 3.30 3.63 3.87 4.00 4.01 3.92 3.76 3.55 3.30 3.00 2.66 2.31 2.00 1.76 1.62 1.54 1.49 1.40 1.24 1.04 0.84 0.68 0.58 0.53 0.50 0.45 0.40 0.34 0.29 0.25 0.22 0.18 0.16 0.14 0.14 0.13 0.11 0.04 0.00 0.00 0.00 0.00 0.00 0.07 0.11 0.05 0.00 0.00 0.00 35.0 + 37.5 0.00 0.00 0.06 0.17 0.21 0.15 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.34 0.65 0.99 1.31 1.59 1.86 2.14 2.43 2.73 2.99 3.15 3.20 3.14 3.01 2.86 2.69 2.51 2.28 2.01 1.72 1.47 1.32 1.27 1.28 1.29 1.24 1.09 0.88 0.68 0.54 0.47 0.46 0.46 0.43 0.37 0.28 0.21 0.18 0.17 0.18 0.20 0.21 0.21 0.19 0.14 0.07 0.01 0.00 0.00 0.06 0.15 0.22 0.21 0.12 0.00 0.00 0.00 0.00 0.06 0.17 0.21 0.15 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.34 0.65 0.99 1.31 1.59 1.86 2.14 2.43 2.73 2.99 3.15 3.20 3.14 3.01 2.86 2.69 2.51 2.28 2.01 1.72 1.47 1.32 1.27 1.28 1.29 1.24 1.09 0.88 0.68 0.54 0.47 0.46 0.46 0.43 0.37 0.28 0.21 0.18 0.17 0.18 0.20 0.21 0.21 0.19 0.14 0.07 0.01 0.00 0.00 0.06 0.15 0.22 0.21 0.12 0.00 0.00 0.00 37.5 + 40.0 0.01 0.09 0.21 0.30 0.33 0.28 0.19 0.09 0.03 0.00 0.00 0.00 0.00 0.00 0.06 0.21 0.43 0.68 0.91 1.08 1.21 1.32 1.46 1.65 1.85 2.02 2.09 2.06 1.95 1.82 1.72 1.64 1.57 1.45 1.28 1.07 0.89 0.80 0.82 0.92 1.00 1.01 0.91 0.74 0.58 0.50 0.50 0.55 0.60 0.57 0.48 0.34 0.22 0.15 0.16 0.22 0.29 0.33 0.32 0.26 0.18 0.10 0.07 0.09 0.17 0.28 0.38 0.41 0.37 0.25 0.12 0.02 0.01 0.09 0.21 0.30 0.33 0.28 0.19 0.09 0.03 0.00 0.00 0.00 0.00 0.00 0.06 0.21 0.43 0.68 0.91 1.08 1.21 1.32 1.46 1.65 1.85 2.02 2.09 2.06 1.95 1.82 1.72 1.64 1.57 1.45 1.28 1.07 0.89 0.80 0.82 0.92 1.00 1.01 0.91 0.74 0.58 0.50 0.50 0.55 0.60 0.57 0.48 0.34 0.22 0.15 0.16 0.22 0.29 0.33 0.32 0.26 0.18 0.10 0.07 0.09 0.17 0.28 0.38 0.41 0.37 0.25 0.12 0.02 0.01 40.0 + 42.5 0.14 0.22 0.32 0.39 0.40 0.36 0.31 0.27 0.24 0.23 0.21 0.17 0.12 0.11 0.17 0.32 0.51 0.70 0.81 0.84 0.80 0.76 0.77 0.86 0.98 1.07 1.09 1.00 0.87 0.76 0.73 0.78 0.85 0.86 0.78 0.62 0.47 0.40 0.45 0.58 0.73 0.80 0.77 0.66 0.56 0.53 0.59 0.71 0.80 0.79 0.66 0.46 0.27 0.18 0.19 0.30 0.42 0.49 0.48 0.38 0.24 0.14 0.11 0.18 0.31 0.46 0.55 0.56 0.47 0.33 0.20 0.13 0.14 0.22 0.32 0.39 0.40 0.36 0.31 0.27 0.24 0.23 0.21 0.17 0.12 0.11 0.17 0.32 0.51 0.70 0.81 0.84 0.80 0.76 0.77 0.86 0.98 1.07 1.09 1.00 0.87 0.76 0.73 0.78 0.85 0.86 0.78 0.62 0.47 0.40 0.45 0.58 0.73 0.80 0.77 0.66 0.56 0.53 0.59 0.71 0.80 0.79 0.66 0.46 0.27 0.18 0.19 0.30 0.42 0.49 0.48 0.38 0.24 0.14 0.11 0.18 0.31 0.46 0.55 0.56 0.47 0.33 0.20 0.13 0.14 42.5 + 45.0 0.20 0.30 0.38 0.42 0.42 0.40 0.39 0.42 0.45 0.47 0.44 0.36 0.26 0.21 0.24 0.37 0.53 0.66 0.68 0.60 0.44 0.30 0.24 0.28 0.38 0.45 0.44 0.33 0.20 0.12 0.17 0.33 0.53 0.65 0.64 0.50 0.32 0.21 0.23 0.37 0.55 0.69 0.71 0.65 0.57 0.57 0.66 0.82 0.94 0.94 0.80 0.56 0.33 0.20 0.23 0.39 0.58 0.69 0.68 0.54 0.34 0.18 0.14 0.22 0.38 0.54 0.62 0.59 0.46 0.30 0.19 0.16 0.20 0.30 0.38 0.42 0.42 0.40 0.39 0.42 0.45 0.47 0.44 0.36 0.26 0.21 0.24 0.37 0.53 0.66 0.68 0.60 0.44 0.30 0.24 0.28 0.38 0.45 0.44 0.33 0.20 0.12 0.17 0.33 0.53 0.65 0.64 0.50 0.32 0.21 0.23 0.37 0.55 0.69 0.71 0.65 0.57 0.57 0.66 0.82 0.94 0.94 0.80 0.56 0.33 0.20 0.23 0.39 0.58 0.69 0.68 0.54 0.34 0.18 0.14 0.22 0.38 0.54 0.62 0.59 0.46 0.30 0.19 0.16 0.20 45.0 + 47.5 0.21 0.34 0.41 0.43 0.40 0.38 0.41 0.50 0.61 0.67 0.64 0.53 0.38 0.28 0.27 0.36 0.49 0.57 0.54 0.39 0.19 0.02 0.00 0.02 0.15 0.24 0.23 0.12 0.00 0.00 0.03 0.28 0.56 0.76 0.77 0.61 0.37 0.18 0.15 0.27 0.48 0.66 0.73 0.68 0.60 0.57 0.65 0.80 0.94 0.96 0.83 0.58 0.33 0.20 0.25 0.46 0.71 0.88 0.87 0.70 0.43 0.21 0.13 0.20 0.36 0.51 0.56 0.49 0.32 0.16 0.08 0.11 0.21 0.34 0.41 0.43 0.40 0.38 0.41 0.50 0.61 0.67 0.64 0.53 0.38 0.28 0.27 0.36 0.49 0.57 0.54 0.39 0.19 0.02 0.00 0.02 0.15 0.24 0.23 0.12 0.00 0.00 0.03 0.28 0.56 0.76 0.77 0.61 0.37 0.18 0.15 0.27 0.48 0.66 0.73 0.68 0.60 0.57 0.65 0.80 0.94 0.96 0.83 0.58 0.33 0.20 0.25 0.46 0.71 0.88 0.87 0.70 0.43 0.21 0.13 0.20 0.36 0.51 0.56 0.49 0.32 0.16 0.08 0.11 0.21 47.5 + 50.0 0.22 0.38 0.45 0.42 0.35 0.31 0.37 0.51 0.68 0.79 0.79 0.67 0.49 0.34 0.28 0.33 0.43 0.48 0.43 0.27 0.07 0.00 0.00 0.04 0.21 0.33 0.33 0.22 0.07 0.02 0.14 0.42 0.74 0.96 0.98 0.78 0.47 0.21 0.12 0.23 0.47 0.69 0.80 0.76 0.64 0.54 0.56 0.67 0.81 0.86 0.76 0.53 0.28 0.14 0.21 0.46 0.77 0.99 1.00 0.81 0.50 0.22 0.09 0.13 0.28 0.41 0.43 0.32 0.14 0.00 0.00 0.05 0.22 0.38 0.45 0.42 0.35 0.31 0.37 0.51 0.68 0.79 0.79 0.67 0.49 0.34 0.28 0.33 0.43 0.48 0.43 0.27 0.07 0.00 0.00 0.04 0.21 0.33 0.33 0.22 0.07 0.02 0.14 0.42 0.74 0.96 0.98 0.78 0.47 0.21 0.12 0.23 0.47 0.69 0.80 0.76 0.64 0.54 0.56 0.67 0.81 0.86 0.76 0.53 0.28 0.14 0.21 0.46 0.77 0.99 1.00 0.81 0.50 0.22 0.09 0.13 0.28 0.41 0.43 0.32 0.14 0.00 0.00 0.05 0.22 50.0 + 52.5 0.30 0.47 0.52 0.45 0.31 0.22 0.26 0.42 0.65 0.82 0.86 0.77 0.59 0.42 0.33 0.35 0.42 0.46 0.41 0.28 0.12 0.02 0.06 0.21 0.41 0.55 0.55 0.43 0.27 0.20 0.29 0.55 0.86 1.07 1.07 0.84 0.50 0.21 0.10 0.21 0.48 0.75 0.89 0.86 0.70 0.53 0.46 0.52 0.65 0.72 0.65 0.44 0.20 0.06 0.13 0.40 0.74 0.99 1.03 0.84 0.51 0.20 0.04 0.06 0.19 0.31 0.32 0.20 0.02 0.00 0.00 0.08 0.30 0.47 0.52 0.45 0.31 0.22 0.26 0.42 0.65 0.82 0.86 0.77 0.59 0.42 0.33 0.35 0.42 0.46 0.41 0.28 0.12 0.02 0.06 0.21 0.41 0.55 0.55 0.43 0.27 0.20 0.29 0.55 0.86 1.07 1.07 0.84 0.50 0.21 0.10 0.21 0.48 0.75 0.89 0.86 0.70 0.53 0.46 0.52 0.65 0.72 0.65 0.44 0.20 0.06 0.13 0.40 0.74 0.99 1.03 0.84 0.51 0.20 0.04 0.06 0.19 0.31 0.32 0.20 0.02 0.00 0.00 0.08 0.30 52.5 + 55.0 0.48 0.65 0.66 0.51 0.30 0.14 0.13 0.29 0.53 0.75 0.85 0.81 0.66 0.51 0.42 0.43 0.49 0.53 0.51 0.42 0.31 0.26 0.31 0.46 0.64 0.75 0.73 0.60 0.43 0.34 0.40 0.60 0.85 1.02 0.99 0.76 0.43 0.15 0.05 0.20 0.50 0.81 0.99 0.97 0.78 0.56 0.43 0.44 0.53 0.61 0.56 0.39 0.16 0.02 0.06 0.31 0.65 0.91 0.97 0.80 0.48 0.17 0.01 0.03 0.16 0.29 0.31 0.21 0.06 0.00 0.03 0.23 0.48 0.65 0.66 0.51 0.30 0.14 0.13 0.29 0.53 0.75 0.85 0.81 0.66 0.51 0.42 0.43 0.49 0.53 0.51 0.42 0.31 0.26 0.31 0.46 0.64 0.75 0.73 0.60 0.43 0.34 0.40 0.60 0.85 1.02 0.99 0.76 0.43 0.15 0.05 0.20 0.50 0.81 0.99 0.97 0.78 0.56 0.43 0.44 0.53 0.61 0.56 0.39 0.16 0.02 0.06 0.31 0.65 0.91 0.97 0.80 0.48 0.17 0.01 0.03 0.16 0.29 0.31 0.21 0.06 0.00 0.03 0.23 0.48 55.0 + 57.5 0.72 0.86 0.82 0.61 0.33 0.10 0.04 0.16 0.40 0.63 0.78 0.78 0.69 0.58 0.51 0.53 0.60 0.67 0.69 0.65 0.59 0.55 0.59 0.69 0.80 0.86 0.83 0.70 0.55 0.45 0.47 0.60 0.76 0.86 0.81 0.60 0.31 0.08 0.02 0.19 0.51 0.85 1.05 1.04 0.86 0.63 0.46 0.43 0.50 0.57 0.55 0.40 0.19 0.04 0.06 0.26 0.56 0.81 0.88 0.74 0.46 0.19 0.05 0.08 0.23 0.38 0.43 0.36 0.25 0.20 0.28 0.49 0.72 0.86 0.82 0.61 0.33 0.10 0.04 0.16 0.40 0.63 0.78 0.78 0.69 0.58 0.51 0.53 0.60 0.67 0.69 0.65 0.59 0.55 0.59 0.69 0.80 0.86 0.83 0.70 0.55 0.45 0.47 0.60 0.76 0.86 0.81 0.60 0.31 0.08 0.02 0.19 0.51 0.85 1.05 1.04 0.86 0.63 0.46 0.43 0.50 0.57 0.55 0.40 0.19 0.04 0.06 0.26 0.56 0.81 0.88 0.74 0.46 0.19 0.05 0.08 0.23 0.38 0.43 0.36 0.25 0.20 0.28 0.49 0.72 57.5 + 60.0 0.94 1.04 0.96 0.71 0.38 0.11 0.00 0.08 0.28 0.50 0.65 0.69 0.64 0.57 0.54 0.58 0.67 0.77 0.84 0.86 0.83 0.80 0.79 0.82 0.85 0.87 0.83 0.74 0.63 0.55 0.54 0.59 0.66 0.69 0.62 0.43 0.21 0.03 0.02 0.19 0.49 0.81 1.02 1.04 0.89 0.68 0.52 0.48 0.53 0.61 0.61 0.50 0.31 0.17 0.16 0.31 0.56 0.77 0.83 0.71 0.48 0.25 0.15 0.21 0.37 0.54 0.61 0.58 0.50 0.46 0.55 0.74 0.94 1.04 0.96 0.71 0.38 0.11 0.00 0.08 0.28 0.50 0.65 0.69 0.64 0.57 0.54 0.58 0.67 0.77 0.84 0.86 0.83 0.80 0.79 0.82 0.85 0.87 0.83 0.74 0.63 0.55 0.54 0.59 0.66 0.69 0.62 0.43 0.21 0.03 0.02 0.19 0.49 0.81 1.02 1.04 0.89 0.68 0.52 0.48 0.53 0.61 0.61 0.50 0.31 0.17 0.16 0.31 0.56 0.77 0.83 0.71 0.48 0.25 0.15 0.21 0.37 0.54 0.61 0.58 0.50 0.46 0.55 0.74 0.94 60.0 + 62.5 1.02 1.09 0.99 0.74 0.43 0.16 0.03 0.06 0.21 0.38 0.51 0.55 0.52 0.47 0.45 0.50 0.61 0.73 0.84 0.91 0.91 0.88 0.83 0.78 0.75 0.74 0.73 0.70 0.66 0.61 0.58 0.57 0.56 0.53 0.44 0.29 0.13 0.01 0.01 0.16 0.42 0.69 0.89 0.94 0.85 0.70 0.59 0.56 0.63 0.72 0.75 0.68 0.55 0.43 0.40 0.50 0.67 0.82 0.86 0.75 0.56 0.37 0.30 0.38 0.55 0.71 0.79 0.77 0.69 0.65 0.71 0.86 1.02 1.09 0.99 0.74 0.43 0.16 0.03 0.06 0.21 0.38 0.51 0.55 0.52 0.47 0.45 0.50 0.61 0.73 0.84 0.91 0.91 0.88 0.83 0.78 0.75 0.74 0.73 0.70 0.66 0.61 0.58 0.57 0.56 0.53 0.44 0.29 0.13 0.01 0.01 0.16 0.42 0.69 0.89 0.94 0.85 0.70 0.59 0.56 0.63 0.72 0.75 0.68 0.55 0.43 0.40 0.50 0.67 0.82 0.86 0.75 0.56 0.37 0.30 0.38 0.55 0.71 0.79 0.77 0.69 0.65 0.71 0.86 1.02 62.5 + 65.0 0.91 0.96 0.88 0.68 0.42 0.20 0.08 0.09 0.19 0.32 0.40 0.41 0.37 0.31 0.28 0.32 0.41 0.54 0.67 0.76 0.78 0.74 0.65 0.55 0.49 0.48 0.51 0.55 0.58 0.57 0.53 0.47 0.40 0.34 0.26 0.16 0.06 0.00 0.00 0.11 0.31 0.54 0.74 0.83 0.83 0.77 0.73 0.75 0.85 0.97 1.05 1.04 0.95 0.85 0.80 0.83 0.92 1.00 0.98 0.87 0.68 0.53 0.48 0.55 0.71 0.85 0.90 0.85 0.75 0.68 0.70 0.79 0.91 0.96 0.88 0.68 0.42 0.20 0.08 0.09 0.19 0.32 0.40 0.41 0.37 0.31 0.28 0.32 0.41 0.54 0.67 0.76 0.78 0.74 0.65 0.55 0.49 0.48 0.51 0.55 0.58 0.57 0.53 0.47 0.40 0.34 0.26 0.16 0.06 0.00 0.00 0.11 0.31 0.54 0.74 0.83 0.83 0.77 0.73 0.75 0.85 0.97 1.05 1.04 0.95 0.85 0.80 0.83 0.92 1.00 0.98 0.87 0.68 0.53 0.48 0.55 0.71 0.85 0.90 0.85 0.75 0.68 0.70 0.79 0.91 65.0 + 67.5 0.67 0.71 0.66 0.53 0.35 0.21 0.14 0.16 0.23 0.31 0.35 0.34 0.27 0.19 0.12 0.12 0.17 0.28 0.41 0.50 0.51 0.45 0.33 0.20 0.13 0.14 0.21 0.32 0.39 0.40 0.35 0.26 0.17 0.12 0.08 0.05 0.02 0.00 0.01 0.10 0.27 0.49 0.71 0.87 0.97 1.03 1.08 1.18 1.34 1.51 1.63 1.66 1.60 1.48 1.38 1.33 1.31 1.29 1.21 1.05 0.86 0.71 0.66 0.71 0.84 0.93 0.94 0.85 0.70 0.58 0.54 0.59 0.67 0.71 0.66 0.53 0.35 0.21 0.14 0.16 0.23 0.31 0.35 0.34 0.27 0.19 0.12 0.12 0.17 0.28 0.41 0.50 0.51 0.45 0.33 0.20 0.13 0.14 0.21 0.32 0.39 0.40 0.35 0.26 0.17 0.12 0.08 0.05 0.02 0.00 0.01 0.10 0.27 0.49 0.71 0.87 0.97 1.03 1.08 1.18 1.34 1.51 1.63 1.66 1.60 1.48 1.38 1.33 1.31 1.29 1.21 1.05 0.86 0.71 0.66 0.71 0.84 0.93 0.94 0.85 0.70 0.58 0.54 0.59 0.67 67.5 + 70.0 0.40 0.44 0.42 0.35 0.26 0.19 0.18 0.23 0.30 0.37 0.40 0.38 0.30 0.19 0.09 0.03 0.04 0.11 0.22 0.29 0.29 0.20 0.05 0.00 0.00 0.00 0.00 0.11 0.19 0.19 0.11 0.01 0.00 0.00 0.00 0.04 0.08 0.10 0.13 0.22 0.40 0.65 0.94 1.21 1.43 1.60 1.76 1.95 2.18 2.40 2.56 2.61 2.52 2.34 2.13 1.95 1.81 1.68 1.51 1.30 1.08 0.91 0.83 0.86 0.95 1.00 0.97 0.83 0.64 0.46 0.36 0.36 0.40 0.44 0.42 0.35 0.26 0.19 0.18 0.23 0.30 0.37 0.40 0.38 0.30 0.19 0.09 0.03 0.04 0.11 0.22 0.29 0.29 0.20 0.05 0.00 0.00 0.00 0.00 0.11 0.19 0.19 0.11 0.01 0.00 0.00 0.00 0.04 0.08 0.10 0.13 0.22 0.40 0.65 0.94 1.21 1.43 1.60 1.76 1.95 2.18 2.40 2.56 2.61 2.52 2.34 2.13 1.95 1.81 1.68 1.51 1.30 1.08 0.91 0.83 0.86 0.95 1.00 0.97 0.83 0.64 0.46 0.36 0.36 0.40 70.0 + 72.5 0.23 0.26 0.26 0.23 0.19 0.18 0.20 0.27 0.37 0.46 0.52 0.52 0.46 0.35 0.21 0.11 0.08 0.14 0.24 0.32 0.31 0.20 0.02 0.00 0.00 0.00 0.00 0.09 0.15 0.10 0.00 0.00 0.00 0.00 0.05 0.21 0.32 0.39 0.44 0.55 0.77 1.09 1.48 1.86 2.19 2.46 2.72 3.00 3.30 3.58 3.76 3.78 3.62 3.32 2.96 2.62 2.34 2.10 1.86 1.60 1.33 1.12 1.00 0.99 1.04 1.08 1.02 0.86 0.64 0.42 0.28 0.22 0.23 0.26 0.26 0.23 0.19 0.18 0.20 0.27 0.37 0.46 0.52 0.52 0.46 0.35 0.21 0.11 0.08 0.14 0.24 0.32 0.31 0.20 0.02 0.00 0.00 0.00 0.00 0.09 0.15 0.10 0.00 0.00 0.00 0.00 0.05 0.21 0.32 0.39 0.44 0.55 0.77 1.09 1.48 1.86 2.19 2.46 2.72 3.00 3.30 3.58 3.76 3.78 3.62 3.32 2.96 2.62 2.34 2.10 1.86 1.60 1.33 1.12 1.00 0.99 1.04 1.08 1.02 0.86 0.64 0.42 0.28 0.22 0.23 72.5 + 75.0 0.19 0.20 0.20 0.19 0.17 0.17 0.20 0.27 0.38 0.51 0.62 0.69 0.68 0.58 0.43 0.31 0.27 0.34 0.47 0.59 0.62 0.51 0.32 0.14 0.06 0.11 0.25 0.36 0.38 0.27 0.10 0.00 0.00 0.12 0.36 0.60 0.77 0.85 0.91 1.03 1.29 1.68 2.15 2.62 3.03 3.38 3.70 4.04 4.41 4.74 4.95 4.92 4.65 4.19 3.65 3.15 2.75 2.43 2.15 1.86 1.56 1.30 1.13 1.08 1.10 1.13 1.09 0.94 0.72 0.48 0.31 0.22 0.19 0.20 0.20 0.19 0.17 0.17 0.20 0.27 0.38 0.51 0.62 0.69 0.68 0.58 0.43 0.31 0.27 0.34 0.47 0.59 0.62 0.51 0.32 0.14 0.06 0.11 0.25 0.36 0.38 0.27 0.10 0.00 0.00 0.12 0.36 0.60 0.77 0.85 0.91 1.03 1.29 1.68 2.15 2.62 3.03 3.38 3.70 4.04 4.41 4.74 4.95 4.92 4.65 4.19 3.65 3.15 2.75 2.43 2.15 1.86 1.56 1.30 1.13 1.08 1.10 1.13 1.09 0.94 0.72 0.48 0.31 0.22 0.19 75.0 + 77.5 0.23 0.22 0.22 0.20 0.17 0.14 0.14 0.18 0.28 0.43 0.61 0.75 0.80 0.73 0.59 0.46 0.43 0.55 0.77 0.99 1.09 1.03 0.85 0.66 0.57 0.62 0.75 0.85 0.83 0.67 0.44 0.29 0.31 0.52 0.83 1.12 1.31 1.37 1.40 1.49 1.75 2.16 2.68 3.19 3.63 4.00 4.33 4.71 5.12 5.51 5.73 5.67 5.29 4.67 3.97 3.33 2.86 2.53 2.26 1.99 1.68 1.37 1.15 1.05 1.06 1.10 1.10 1.00 0.81 0.59 0.40 0.28 0.23 0.22 0.22 0.20 0.17 0.14 0.14 0.18 0.28 0.43 0.61 0.75 0.80 0.73 0.59 0.46 0.43 0.55 0.77 0.99 1.09 1.03 0.85 0.66 0.57 0.62 0.75 0.85 0.83 0.67 0.44 0.29 0.31 0.52 0.83 1.12 1.31 1.37 1.40 1.49 1.75 2.16 2.68 3.19 3.63 4.00 4.33 4.71 5.12 5.51 5.73 5.67 5.29 4.67 3.97 3.33 2.86 2.53 2.26 1.99 1.68 1.37 1.15 1.05 1.06 1.10 1.10 1.00 0.81 0.59 0.40 0.28 0.23 77.5 + 80.0 0.22 0.20 0.20 0.19 0.14 0.07 0.00 0.00 0.03 0.19 0.41 0.62 0.73 0.69 0.54 0.40 0.39 0.58 0.92 1.28 1.51 1.53 1.37 1.17 1.07 1.11 1.25 1.35 1.31 1.11 0.85 0.66 0.68 0.91 1.26 1.58 1.75 1.76 1.71 1.73 1.93 2.32 2.82 3.32 3.73 4.04 4.34 4.70 5.14 5.56 5.81 5.74 5.29 4.56 3.74 3.03 2.54 2.26 2.08 1.87 1.59 1.26 0.98 0.83 0.83 0.90 0.96 0.93 0.80 0.61 0.42 0.29 0.22 0.20 0.20 0.19 0.14 0.07 0.00 0.00 0.03 0.19 0.41 0.62 0.73 0.69 0.54 0.40 0.39 0.58 0.92 1.28 1.51 1.53 1.37 1.17 1.07 1.11 1.25 1.35 1.31 1.11 0.85 0.66 0.68 0.91 1.26 1.58 1.75 1.76 1.71 1.73 1.93 2.32 2.82 3.32 3.73 4.04 4.34 4.70 5.14 5.56 5.81 5.74 5.29 4.56 3.74 3.03 2.54 2.26 2.08 1.87 1.59 1.26 0.98 0.83 0.83 0.90 0.96 0.93 0.80 0.61 0.42 0.29 0.22 80.0 + 82.5 0.09 0.08 0.10 0.10 0.04 0.00 0.00 0.00 0.00 0.00 0.05 0.31 0.45 0.42 0.25 0.09 0.08 0.34 0.80 1.32 1.69 1.81 1.69 1.48 1.34 1.36 1.50 1.62 1.59 1.39 1.10 0.89 0.90 1.13 1.49 1.80 1.95 1.90 1.75 1.66 1.76 2.07 2.51 2.94 3.27 3.50 3.72 4.02 4.44 4.88 5.17 5.11 4.65 3.86 2.98 2.24 1.80 1.62 1.56 1.47 1.25 0.92 0.61 0.42 0.41 0.51 0.64 0.70 0.63 0.48 0.31 0.17 0.09 0.08 0.10 0.10 0.04 0.00 0.00 0.00 0.00 0.00 0.05 0.31 0.45 0.42 0.25 0.09 0.08 0.34 0.80 1.32 1.69 1.81 1.69 1.48 1.34 1.36 1.50 1.62 1.59 1.39 1.10 0.89 0.90 1.13 1.49 1.80 1.95 1.90 1.75 1.66 1.76 2.07 2.51 2.94 3.27 3.50 3.72 4.02 4.44 4.88 5.17 5.11 4.65 3.86 2.98 2.24 1.80 1.62 1.56 1.47 1.25 0.92 0.61 0.42 0.41 0.51 0.64 0.70 0.63 0.48 0.31 0.17 0.09 82.5 + 85.0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.07 0.00 0.00 0.00 0.00 0.49 1.15 1.66 1.86 1.78 1.54 1.35 1.33 1.45 1.59 1.59 1.41 1.12 0.90 0.88 1.10 1.46 1.78 1.90 1.79 1.55 1.35 1.34 1.56 1.91 2.27 2.51 2.64 2.74 2.95 3.32 3.76 4.07 4.05 3.60 2.81 1.92 1.21 0.82 0.75 0.84 0.88 0.74 0.44 0.11 0.00 0.00 0.01 0.20 0.33 0.34 0.23 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.07 0.00 0.00 0.00 0.00 0.49 1.15 1.66 1.86 1.78 1.54 1.35 1.33 1.45 1.59 1.59 1.41 1.12 0.90 0.88 1.10 1.46 1.78 1.90 1.79 1.55 1.35 1.34 1.56 1.91 2.27 2.51 2.64 2.74 2.95 3.32 3.76 4.07 4.05 3.60 2.81 1.92 1.21 0.82 0.75 0.84 0.88 0.74 0.44 0.11 0.00 0.00 0.01 0.20 0.33 0.34 0.23 0.07 0.00 0.00 85.0 + 87.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.24 1.00 1.62 1.90 1.84 1.57 1.32 1.22 1.30 1.43 1.45 1.30 1.03 0.79 0.75 0.96 1.31 1.63 1.75 1.61 1.32 1.03 0.93 1.06 1.35 1.64 1.82 1.85 1.85 1.95 2.23 2.63 2.95 2.97 2.56 1.81 0.94 0.25 0.00 0.00 0.13 0.28 0.22 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.24 1.00 1.62 1.90 1.84 1.57 1.32 1.22 1.30 1.43 1.45 1.30 1.03 0.79 0.75 0.96 1.31 1.63 1.75 1.61 1.32 1.03 0.93 1.06 1.35 1.64 1.82 1.85 1.85 1.95 2.23 2.63 2.95 2.97 2.56 1.81 0.94 0.25 0.00 0.00 0.13 0.28 0.22 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.00 0.00 0.00 0.00 87.5 + 90.0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.34 1.17 1.86 2.22 2.18 1.87 1.54 1.35 1.35 1.44 1.46 1.31 1.04 0.79 0.72 0.89 1.22 1.54 1.67 1.54 1.22 0.89 0.72 0.79 1.04 1.31 1.46 1.44 1.35 1.35 1.54 1.87 2.18 2.22 1.86 1.17 0.34 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.34 1.17 1.86 2.22 2.18 1.87 1.54 1.35 1.35 1.44 1.46 1.31 1.04 0.79 0.72 0.89 1.22 1.54 1.67 1.54 1.22 0.89 0.72 0.79 1.04 1.31 1.46 1.44 1.35 1.35 1.54 1.87 2.18 2.22 1.86 1.17 0.34 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 90.0 + + 57.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.45 ) PHI2 = 58. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.0 + 2.5 0.36 0.37 0.36 0.39 0.49 0.64 0.84 1.05 1.28 1.52 1.78 2.02 2.21 2.29 2.24 2.09 1.86 1.62 1.38 1.15 0.93 0.72 0.55 0.44 0.39 0.37 0.34 0.23 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.25 0.36 0.40 0.41 0.45 0.56 0.72 0.92 1.14 1.37 1.60 1.84 2.06 2.21 2.25 2.17 1.99 1.76 1.51 1.27 1.05 0.84 0.64 0.49 0.41 0.39 0.40 0.38 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.27 0.36 0.37 0.36 0.39 0.49 0.64 0.84 1.05 1.28 1.52 1.78 2.02 2.21 2.29 2.24 2.09 1.86 1.62 1.38 1.15 0.93 0.72 0.55 0.44 0.39 0.37 0.34 0.23 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.25 0.36 0.40 0.41 0.45 0.56 0.72 0.92 1.14 1.37 1.60 1.84 2.06 2.21 2.25 2.17 1.99 1.76 1.51 1.27 1.05 0.84 0.64 0.49 0.41 0.39 0.40 0.38 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.27 0.36 2.5 + 5.0 0.42 0.37 0.32 0.30 0.37 0.50 0.68 0.90 1.14 1.42 1.72 2.03 2.28 2.42 2.41 2.28 2.05 1.78 1.51 1.26 1.02 0.81 0.63 0.51 0.45 0.43 0.40 0.32 0.17 0.00 0.00 0.00 0.00 0.00 0.15 0.35 0.46 0.50 0.51 0.54 0.62 0.77 0.97 1.20 1.45 1.71 1.96 2.17 2.28 2.28 2.15 1.93 1.66 1.38 1.12 0.88 0.67 0.50 0.40 0.37 0.41 0.48 0.50 0.44 0.29 0.09 0.00 0.00 0.00 0.11 0.28 0.39 0.42 0.37 0.32 0.30 0.37 0.50 0.68 0.90 1.14 1.42 1.72 2.03 2.28 2.42 2.41 2.28 2.05 1.78 1.51 1.26 1.02 0.81 0.63 0.51 0.45 0.43 0.40 0.32 0.17 0.00 0.00 0.00 0.00 0.00 0.15 0.35 0.46 0.50 0.51 0.54 0.62 0.77 0.97 1.20 1.45 1.71 1.96 2.17 2.28 2.28 2.15 1.93 1.66 1.38 1.12 0.88 0.67 0.50 0.40 0.37 0.41 0.48 0.50 0.44 0.29 0.09 0.00 0.00 0.00 0.11 0.28 0.39 0.42 5.0 + 7.5 0.53 0.42 0.31 0.26 0.28 0.37 0.53 0.73 0.98 1.29 1.64 2.02 2.34 2.56 2.62 2.53 2.31 2.03 1.75 1.48 1.25 1.04 0.87 0.75 0.68 0.66 0.65 0.61 0.49 0.33 0.17 0.08 0.11 0.23 0.42 0.59 0.70 0.74 0.73 0.73 0.77 0.88 1.07 1.30 1.58 1.86 2.10 2.28 2.35 2.29 2.11 1.84 1.54 1.24 0.97 0.72 0.53 0.40 0.35 0.39 0.50 0.62 0.68 0.65 0.54 0.38 0.27 0.24 0.31 0.43 0.54 0.58 0.53 0.42 0.31 0.26 0.28 0.37 0.53 0.73 0.98 1.29 1.64 2.02 2.34 2.56 2.62 2.53 2.31 2.03 1.75 1.48 1.25 1.04 0.87 0.75 0.68 0.66 0.65 0.61 0.49 0.33 0.17 0.08 0.11 0.23 0.42 0.59 0.70 0.74 0.73 0.73 0.77 0.88 1.07 1.30 1.58 1.86 2.10 2.28 2.35 2.29 2.11 1.84 1.54 1.24 0.97 0.72 0.53 0.40 0.35 0.39 0.50 0.62 0.68 0.65 0.54 0.38 0.27 0.24 0.31 0.43 0.54 0.58 0.53 7.5 + 10.0 0.67 0.53 0.40 0.31 0.30 0.35 0.46 0.63 0.86 1.16 1.53 1.95 2.34 2.64 2.78 2.74 2.57 2.32 2.06 1.82 1.61 1.44 1.29 1.19 1.13 1.12 1.13 1.12 1.05 0.92 0.77 0.66 0.64 0.71 0.85 0.99 1.08 1.10 1.06 1.01 0.99 1.05 1.20 1.43 1.70 1.98 2.21 2.35 2.36 2.24 2.01 1.74 1.44 1.15 0.89 0.66 0.49 0.40 0.42 0.52 0.67 0.82 0.89 0.86 0.77 0.65 0.58 0.58 0.65 0.74 0.79 0.77 0.67 0.53 0.40 0.31 0.30 0.35 0.46 0.63 0.86 1.16 1.53 1.95 2.34 2.64 2.78 2.74 2.57 2.32 2.06 1.82 1.61 1.44 1.29 1.19 1.13 1.12 1.13 1.12 1.05 0.92 0.77 0.66 0.64 0.71 0.85 0.99 1.08 1.10 1.06 1.01 0.99 1.05 1.20 1.43 1.70 1.98 2.21 2.35 2.36 2.24 2.01 1.74 1.44 1.15 0.89 0.66 0.49 0.40 0.42 0.52 0.67 0.82 0.89 0.86 0.77 0.65 0.58 0.58 0.65 0.74 0.79 0.77 0.67 10.0 + 12.5 0.82 0.67 0.54 0.46 0.42 0.43 0.49 0.60 0.77 1.03 1.39 1.80 2.23 2.58 2.79 2.84 2.75 2.57 2.36 2.18 2.03 1.91 1.80 1.72 1.68 1.68 1.71 1.73 1.69 1.59 1.44 1.30 1.23 1.25 1.34 1.45 1.51 1.50 1.42 1.31 1.22 1.22 1.33 1.53 1.80 2.06 2.26 2.34 2.29 2.12 1.88 1.61 1.36 1.12 0.90 0.71 0.58 0.54 0.59 0.72 0.88 1.01 1.05 1.00 0.90 0.81 0.78 0.82 0.90 0.97 0.99 0.93 0.82 0.67 0.54 0.46 0.42 0.43 0.49 0.60 0.77 1.03 1.39 1.80 2.23 2.58 2.79 2.84 2.75 2.57 2.36 2.18 2.03 1.91 1.80 1.72 1.68 1.68 1.71 1.73 1.69 1.59 1.44 1.30 1.23 1.25 1.34 1.45 1.51 1.50 1.42 1.31 1.22 1.22 1.33 1.53 1.80 2.06 2.26 2.34 2.29 2.12 1.88 1.61 1.36 1.12 0.90 0.71 0.58 0.54 0.59 0.72 0.88 1.01 1.05 1.00 0.90 0.81 0.78 0.82 0.90 0.97 0.99 0.93 0.82 12.5 + 15.0 0.89 0.77 0.67 0.60 0.56 0.54 0.55 0.59 0.69 0.89 1.18 1.56 1.97 2.35 2.63 2.76 2.77 2.69 2.57 2.46 2.37 2.28 2.21 2.14 2.10 2.12 2.17 2.21 2.21 2.12 1.97 1.81 1.69 1.67 1.72 1.79 1.83 1.78 1.66 1.49 1.36 1.32 1.40 1.59 1.84 2.08 2.24 2.26 2.16 1.96 1.71 1.48 1.28 1.10 0.94 0.80 0.71 0.70 0.77 0.91 1.04 1.11 1.10 1.01 0.91 0.85 0.86 0.94 1.03 1.09 1.08 1.01 0.89 0.77 0.67 0.60 0.56 0.54 0.55 0.59 0.69 0.89 1.18 1.56 1.97 2.35 2.63 2.76 2.77 2.69 2.57 2.46 2.37 2.28 2.21 2.14 2.10 2.12 2.17 2.21 2.21 2.12 1.97 1.81 1.69 1.67 1.72 1.79 1.83 1.78 1.66 1.49 1.36 1.32 1.40 1.59 1.84 2.08 2.24 2.26 2.16 1.96 1.71 1.48 1.28 1.10 0.94 0.80 0.71 0.70 0.77 0.91 1.04 1.11 1.10 1.01 0.91 0.85 0.86 0.94 1.03 1.09 1.08 1.01 0.89 15.0 + 17.5 0.85 0.76 0.69 0.65 0.60 0.56 0.53 0.52 0.56 0.69 0.91 1.22 1.59 1.97 2.28 2.50 2.61 2.63 2.60 2.56 2.50 2.43 2.35 2.28 2.25 2.27 2.34 2.41 2.43 2.36 2.22 2.04 1.91 1.86 1.87 1.91 1.90 1.83 1.67 1.49 1.35 1.31 1.39 1.59 1.84 2.05 2.17 2.15 2.01 1.79 1.55 1.34 1.18 1.06 0.94 0.84 0.78 0.79 0.87 0.98 1.06 1.08 1.00 0.88 0.79 0.77 0.83 0.95 1.05 1.09 1.05 0.96 0.85 0.76 0.69 0.65 0.60 0.56 0.53 0.52 0.56 0.69 0.91 1.22 1.59 1.97 2.28 2.50 2.61 2.63 2.60 2.56 2.50 2.43 2.35 2.28 2.25 2.27 2.34 2.41 2.43 2.36 2.22 2.04 1.91 1.86 1.87 1.91 1.90 1.83 1.67 1.49 1.35 1.31 1.39 1.59 1.84 2.05 2.17 2.15 2.01 1.79 1.55 1.34 1.18 1.06 0.94 0.84 0.78 0.79 0.87 0.98 1.06 1.08 1.00 0.88 0.79 0.77 0.83 0.95 1.05 1.09 1.05 0.96 0.85 17.5 + 20.0 0.68 0.61 0.56 0.53 0.49 0.44 0.38 0.34 0.35 0.43 0.59 0.83 1.14 1.49 1.82 2.09 2.29 2.41 2.47 2.47 2.43 2.36 2.27 2.18 2.15 2.18 2.27 2.37 2.41 2.37 2.24 2.07 1.93 1.85 1.82 1.81 1.77 1.66 1.49 1.32 1.21 1.20 1.32 1.53 1.78 1.99 2.08 2.04 1.87 1.64 1.41 1.21 1.07 0.96 0.86 0.78 0.73 0.74 0.81 0.89 0.93 0.89 0.78 0.65 0.58 0.62 0.74 0.89 1.00 1.01 0.93 0.80 0.68 0.61 0.56 0.53 0.49 0.44 0.38 0.34 0.35 0.43 0.59 0.83 1.14 1.49 1.82 2.09 2.29 2.41 2.47 2.47 2.43 2.36 2.27 2.18 2.15 2.18 2.27 2.37 2.41 2.37 2.24 2.07 1.93 1.85 1.82 1.81 1.77 1.66 1.49 1.32 1.21 1.20 1.32 1.53 1.78 1.99 2.08 2.04 1.87 1.64 1.41 1.21 1.07 0.96 0.86 0.78 0.73 0.74 0.81 0.89 0.93 0.89 0.78 0.65 0.58 0.62 0.74 0.89 1.00 1.01 0.93 0.80 0.68 20.0 + 22.5 0.43 0.35 0.32 0.29 0.25 0.18 0.12 0.08 0.08 0.14 0.26 0.45 0.69 0.98 1.30 1.61 1.89 2.10 2.24 2.30 2.28 2.22 2.13 2.05 2.04 2.11 2.23 2.35 2.41 2.38 2.26 2.09 1.94 1.82 1.74 1.66 1.56 1.41 1.25 1.10 1.04 1.08 1.23 1.46 1.70 1.89 1.96 1.91 1.74 1.51 1.29 1.10 0.95 0.83 0.72 0.63 0.57 0.58 0.64 0.69 0.70 0.62 0.49 0.37 0.35 0.44 0.62 0.80 0.89 0.85 0.72 0.56 0.43 0.35 0.32 0.29 0.25 0.18 0.12 0.08 0.08 0.14 0.26 0.45 0.69 0.98 1.30 1.61 1.89 2.10 2.24 2.30 2.28 2.22 2.13 2.05 2.04 2.11 2.23 2.35 2.41 2.38 2.26 2.09 1.94 1.82 1.74 1.66 1.56 1.41 1.25 1.10 1.04 1.08 1.23 1.46 1.70 1.89 1.96 1.91 1.74 1.51 1.29 1.10 0.95 0.83 0.72 0.63 0.57 0.58 0.64 0.69 0.70 0.62 0.49 0.37 0.35 0.44 0.62 0.80 0.89 0.85 0.72 0.56 0.43 22.5 + 25.0 0.15 0.09 0.06 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.30 0.53 0.82 1.16 1.49 1.79 2.02 2.16 2.21 2.20 2.16 2.15 2.20 2.32 2.47 2.61 2.67 2.63 2.50 2.32 2.13 1.95 1.79 1.63 1.45 1.27 1.10 0.98 0.95 1.02 1.17 1.37 1.57 1.72 1.77 1.72 1.57 1.37 1.16 0.98 0.83 0.69 0.56 0.45 0.39 0.40 0.44 0.48 0.45 0.35 0.22 0.12 0.14 0.28 0.49 0.67 0.73 0.66 0.48 0.29 0.15 0.09 0.06 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.30 0.53 0.82 1.16 1.49 1.79 2.02 2.16 2.21 2.20 2.16 2.15 2.20 2.32 2.47 2.61 2.67 2.63 2.50 2.32 2.13 1.95 1.79 1.63 1.45 1.27 1.10 0.98 0.95 1.02 1.17 1.37 1.57 1.72 1.77 1.72 1.57 1.37 1.16 0.98 0.83 0.69 0.56 0.45 0.39 0.40 0.44 0.48 0.45 0.35 0.22 0.12 0.14 0.28 0.49 0.67 0.73 0.66 0.48 0.29 0.15 25.0 + 27.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.19 0.45 0.78 1.17 1.55 1.89 2.14 2.29 2.39 2.47 2.57 2.72 2.91 3.09 3.22 3.25 3.17 3.00 2.78 2.53 2.28 2.02 1.77 1.51 1.29 1.12 1.02 1.00 1.05 1.15 1.27 1.39 1.47 1.49 1.44 1.32 1.16 1.00 0.85 0.72 0.58 0.44 0.33 0.27 0.27 0.30 0.32 0.28 0.17 0.03 0.00 0.00 0.14 0.35 0.52 0.55 0.44 0.24 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.19 0.45 0.78 1.17 1.55 1.89 2.14 2.29 2.39 2.47 2.57 2.72 2.91 3.09 3.22 3.25 3.17 3.00 2.78 2.53 2.28 2.02 1.77 1.51 1.29 1.12 1.02 1.00 1.05 1.15 1.27 1.39 1.47 1.49 1.44 1.32 1.16 1.00 0.85 0.72 0.58 0.44 0.33 0.27 0.27 0.30 0.32 0.28 0.17 0.03 0.00 0.00 0.14 0.35 0.52 0.55 0.44 0.24 0.05 0.00 27.5 + 30.0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.21 0.54 0.96 1.41 1.84 2.20 2.49 2.72 2.94 3.18 3.43 3.68 3.87 3.96 3.93 3.79 3.56 3.28 2.97 2.64 2.30 1.97 1.67 1.43 1.27 1.18 1.14 1.13 1.13 1.14 1.14 1.14 1.13 1.08 1.00 0.90 0.79 0.69 0.59 0.48 0.37 0.28 0.23 0.22 0.25 0.26 0.20 0.08 0.00 0.00 0.00 0.05 0.23 0.36 0.36 0.22 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.21 0.54 0.96 1.41 1.84 2.20 2.49 2.72 2.94 3.18 3.43 3.68 3.87 3.96 3.93 3.79 3.56 3.28 2.97 2.64 2.30 1.97 1.67 1.43 1.27 1.18 1.14 1.13 1.13 1.14 1.14 1.14 1.13 1.08 1.00 0.90 0.79 0.69 0.59 0.48 0.37 0.28 0.23 0.22 0.25 0.26 0.20 0.08 0.00 0.00 0.00 0.05 0.23 0.36 0.36 0.22 0.03 0.00 0.00 30.0 + 32.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.43 0.86 1.34 1.82 2.25 2.63 2.97 3.30 3.64 3.96 4.23 4.40 4.43 4.33 4.12 3.84 3.52 3.17 2.79 2.41 2.04 1.74 1.52 1.39 1.32 1.27 1.19 1.08 0.97 0.87 0.80 0.75 0.72 0.67 0.62 0.56 0.51 0.45 0.39 0.33 0.27 0.24 0.25 0.26 0.25 0.18 0.06 0.00 0.00 0.00 0.02 0.16 0.24 0.20 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.43 0.86 1.34 1.82 2.25 2.63 2.97 3.30 3.64 3.96 4.23 4.40 4.43 4.33 4.12 3.84 3.52 3.17 2.79 2.41 2.04 1.74 1.52 1.39 1.32 1.27 1.19 1.08 0.97 0.87 0.80 0.75 0.72 0.67 0.62 0.56 0.51 0.45 0.39 0.33 0.27 0.24 0.25 0.26 0.25 0.18 0.06 0.00 0.00 0.00 0.02 0.16 0.24 0.20 0.05 0.00 0.00 0.00 32.5 + 35.0 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.42 0.82 1.28 1.75 2.17 2.55 2.91 3.28 3.64 3.97 4.21 4.32 4.28 4.11 3.86 3.57 3.26 2.92 2.56 2.19 1.85 1.59 1.44 1.37 1.34 1.28 1.16 0.98 0.78 0.62 0.52 0.47 0.45 0.44 0.41 0.37 0.34 0.32 0.30 0.29 0.28 0.28 0.29 0.29 0.26 0.18 0.07 0.00 0.00 0.00 0.06 0.15 0.18 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.42 0.82 1.28 1.75 2.17 2.55 2.91 3.28 3.64 3.97 4.21 4.32 4.28 4.11 3.86 3.57 3.26 2.92 2.56 2.19 1.85 1.59 1.44 1.37 1.34 1.28 1.16 0.98 0.78 0.62 0.52 0.47 0.45 0.44 0.41 0.37 0.34 0.32 0.30 0.29 0.28 0.28 0.29 0.29 0.26 0.18 0.07 0.00 0.00 0.00 0.06 0.15 0.18 0.11 0.00 0.00 0.00 0.00 35.0 + 37.5 0.00 0.00 0.10 0.14 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.22 0.48 0.82 1.20 1.57 1.89 2.18 2.47 2.78 3.09 3.36 3.53 3.57 3.46 3.26 3.02 2.78 2.54 2.28 1.99 1.69 1.42 1.23 1.16 1.17 1.20 1.17 1.04 0.84 0.62 0.45 0.37 0.35 0.37 0.37 0.34 0.28 0.24 0.22 0.23 0.26 0.30 0.33 0.34 0.31 0.25 0.16 0.06 0.00 0.00 0.07 0.16 0.22 0.20 0.10 0.00 0.00 0.00 0.00 0.00 0.10 0.14 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.22 0.48 0.82 1.20 1.57 1.89 2.18 2.47 2.78 3.09 3.36 3.53 3.57 3.46 3.26 3.02 2.78 2.54 2.28 1.99 1.69 1.42 1.23 1.16 1.17 1.20 1.17 1.04 0.84 0.62 0.45 0.37 0.35 0.37 0.37 0.34 0.28 0.24 0.22 0.23 0.26 0.30 0.33 0.34 0.31 0.25 0.16 0.06 0.00 0.00 0.07 0.16 0.22 0.20 0.10 0.00 0.00 0.00 0.00 37.5 + 40.0 0.00 0.07 0.18 0.21 0.17 0.07 0.00 0.00 0.00 0.03 0.08 0.10 0.12 0.18 0.31 0.53 0.80 1.07 1.29 1.45 1.59 1.74 1.94 2.15 2.34 2.43 2.39 2.25 2.05 1.87 1.73 1.61 1.49 1.32 1.11 0.91 0.79 0.79 0.86 0.95 0.97 0.89 0.71 0.53 0.40 0.36 0.40 0.45 0.46 0.41 0.32 0.22 0.18 0.20 0.27 0.35 0.41 0.40 0.34 0.24 0.12 0.04 0.03 0.08 0.19 0.28 0.32 0.26 0.13 0.00 0.00 0.00 0.00 0.07 0.18 0.21 0.17 0.07 0.00 0.00 0.00 0.03 0.08 0.10 0.12 0.18 0.31 0.53 0.80 1.07 1.29 1.45 1.59 1.74 1.94 2.15 2.34 2.43 2.39 2.25 2.05 1.87 1.73 1.61 1.49 1.32 1.11 0.91 0.79 0.79 0.86 0.95 0.97 0.89 0.71 0.53 0.40 0.36 0.40 0.45 0.46 0.41 0.32 0.22 0.18 0.20 0.27 0.35 0.41 0.40 0.34 0.24 0.12 0.04 0.03 0.08 0.19 0.28 0.32 0.26 0.13 0.00 0.00 0.00 0.00 40.0 + 42.5 0.01 0.13 0.23 0.26 0.23 0.18 0.14 0.15 0.19 0.23 0.24 0.23 0.22 0.26 0.37 0.54 0.73 0.88 0.95 0.95 0.93 0.94 1.03 1.16 1.27 1.30 1.22 1.07 0.90 0.80 0.79 0.83 0.86 0.81 0.68 0.54 0.45 0.46 0.57 0.71 0.78 0.76 0.64 0.51 0.43 0.44 0.53 0.62 0.65 0.57 0.43 0.28 0.20 0.21 0.31 0.43 0.52 0.51 0.41 0.25 0.10 0.01 0.03 0.13 0.27 0.38 0.40 0.31 0.15 0.00 0.00 0.00 0.01 0.13 0.23 0.26 0.23 0.18 0.14 0.15 0.19 0.23 0.24 0.23 0.22 0.26 0.37 0.54 0.73 0.88 0.95 0.95 0.93 0.94 1.03 1.16 1.27 1.30 1.22 1.07 0.90 0.80 0.79 0.83 0.86 0.81 0.68 0.54 0.45 0.46 0.57 0.71 0.78 0.76 0.64 0.51 0.43 0.44 0.53 0.62 0.65 0.57 0.43 0.28 0.20 0.21 0.31 0.43 0.52 0.51 0.41 0.25 0.10 0.01 0.03 0.13 0.27 0.38 0.40 0.31 0.15 0.00 0.00 0.00 0.01 42.5 + 45.0 0.08 0.20 0.28 0.30 0.28 0.26 0.28 0.33 0.39 0.42 0.40 0.34 0.29 0.29 0.37 0.50 0.62 0.67 0.62 0.50 0.37 0.30 0.33 0.42 0.51 0.52 0.42 0.27 0.15 0.13 0.23 0.41 0.57 0.62 0.54 0.40 0.29 0.28 0.38 0.53 0.66 0.70 0.64 0.55 0.50 0.54 0.65 0.76 0.80 0.73 0.56 0.36 0.24 0.24 0.36 0.53 0.65 0.65 0.52 0.30 0.09 0.00 0.01 0.14 0.30 0.40 0.40 0.28 0.12 0.00 0.00 0.00 0.08 0.20 0.28 0.30 0.28 0.26 0.28 0.33 0.39 0.42 0.40 0.34 0.29 0.29 0.37 0.50 0.62 0.67 0.62 0.50 0.37 0.30 0.33 0.42 0.51 0.52 0.42 0.27 0.15 0.13 0.23 0.41 0.57 0.62 0.54 0.40 0.29 0.28 0.38 0.53 0.66 0.70 0.64 0.55 0.50 0.54 0.65 0.76 0.80 0.73 0.56 0.36 0.24 0.24 0.36 0.53 0.65 0.65 0.52 0.30 0.09 0.00 0.01 0.14 0.30 0.40 0.40 0.28 0.12 0.00 0.00 0.00 0.08 45.0 + 47.5 0.17 0.29 0.34 0.34 0.31 0.31 0.37 0.47 0.56 0.58 0.53 0.43 0.34 0.30 0.34 0.43 0.50 0.49 0.37 0.19 0.03 0.00 0.00 0.09 0.19 0.21 0.12 0.00 0.00 0.00 0.08 0.35 0.59 0.69 0.63 0.46 0.29 0.21 0.28 0.45 0.62 0.72 0.71 0.63 0.57 0.58 0.68 0.80 0.86 0.80 0.62 0.41 0.26 0.25 0.39 0.60 0.76 0.78 0.63 0.37 0.11 0.00 0.00 0.10 0.26 0.35 0.32 0.19 0.03 0.00 0.00 0.03 0.17 0.29 0.34 0.34 0.31 0.31 0.37 0.47 0.56 0.58 0.53 0.43 0.34 0.30 0.34 0.43 0.50 0.49 0.37 0.19 0.03 0.00 0.00 0.09 0.19 0.21 0.12 0.00 0.00 0.00 0.08 0.35 0.59 0.69 0.63 0.46 0.29 0.21 0.28 0.45 0.62 0.72 0.71 0.63 0.57 0.58 0.68 0.80 0.86 0.80 0.62 0.41 0.26 0.25 0.39 0.60 0.76 0.78 0.63 0.37 0.11 0.00 0.00 0.10 0.26 0.35 0.32 0.19 0.03 0.00 0.00 0.03 0.17 47.5 + 50.0 0.29 0.40 0.43 0.38 0.32 0.32 0.40 0.52 0.64 0.68 0.63 0.51 0.39 0.32 0.33 0.38 0.42 0.38 0.25 0.08 0.00 0.00 0.00 0.13 0.26 0.29 0.19 0.04 0.00 0.00 0.17 0.47 0.74 0.86 0.78 0.57 0.34 0.21 0.25 0.43 0.65 0.80 0.82 0.74 0.63 0.58 0.63 0.74 0.81 0.78 0.62 0.40 0.24 0.22 0.36 0.60 0.80 0.84 0.70 0.42 0.13 0.00 0.00 0.05 0.20 0.27 0.23 0.09 0.00 0.00 0.00 0.11 0.29 0.40 0.43 0.38 0.32 0.32 0.40 0.52 0.64 0.68 0.63 0.51 0.39 0.32 0.33 0.38 0.42 0.38 0.25 0.08 0.00 0.00 0.00 0.13 0.26 0.29 0.19 0.04 0.00 0.00 0.17 0.47 0.74 0.86 0.78 0.57 0.34 0.21 0.25 0.43 0.65 0.80 0.82 0.74 0.63 0.58 0.63 0.74 0.81 0.78 0.62 0.40 0.24 0.22 0.36 0.60 0.80 0.84 0.70 0.42 0.13 0.00 0.00 0.05 0.20 0.27 0.23 0.09 0.00 0.00 0.00 0.11 0.29 50.0 + 52.5 0.45 0.55 0.52 0.41 0.30 0.27 0.34 0.48 0.63 0.70 0.68 0.58 0.46 0.38 0.37 0.41 0.43 0.39 0.28 0.15 0.06 0.08 0.20 0.37 0.51 0.53 0.43 0.26 0.14 0.15 0.32 0.59 0.83 0.93 0.84 0.60 0.34 0.19 0.23 0.44 0.71 0.91 0.96 0.86 0.70 0.59 0.58 0.65 0.73 0.72 0.58 0.37 0.18 0.14 0.27 0.52 0.75 0.83 0.72 0.45 0.16 0.00 0.00 0.04 0.18 0.25 0.20 0.07 0.00 0.00 0.06 0.25 0.45 0.55 0.52 0.41 0.30 0.27 0.34 0.48 0.63 0.70 0.68 0.58 0.46 0.38 0.37 0.41 0.43 0.39 0.28 0.15 0.06 0.08 0.20 0.37 0.51 0.53 0.43 0.26 0.14 0.15 0.32 0.59 0.83 0.93 0.84 0.60 0.34 0.19 0.23 0.44 0.71 0.91 0.96 0.86 0.70 0.59 0.58 0.65 0.73 0.72 0.58 0.37 0.18 0.14 0.27 0.52 0.75 0.83 0.72 0.45 0.16 0.00 0.00 0.04 0.18 0.25 0.20 0.07 0.00 0.00 0.06 0.25 0.45 52.5 + 55.0 0.64 0.71 0.62 0.44 0.26 0.17 0.21 0.36 0.53 0.65 0.67 0.62 0.54 0.48 0.48 0.51 0.53 0.50 0.44 0.36 0.32 0.37 0.50 0.65 0.76 0.76 0.65 0.47 0.32 0.29 0.41 0.61 0.79 0.86 0.75 0.52 0.27 0.14 0.20 0.44 0.75 0.99 1.07 0.98 0.79 0.62 0.56 0.60 0.67 0.68 0.57 0.36 0.17 0.09 0.19 0.42 0.66 0.78 0.71 0.49 0.23 0.05 0.03 0.13 0.26 0.33 0.30 0.19 0.10 0.11 0.25 0.46 0.64 0.71 0.62 0.44 0.26 0.17 0.21 0.36 0.53 0.65 0.67 0.62 0.54 0.48 0.48 0.51 0.53 0.50 0.44 0.36 0.32 0.37 0.50 0.65 0.76 0.76 0.65 0.47 0.32 0.29 0.41 0.61 0.79 0.86 0.75 0.52 0.27 0.14 0.20 0.44 0.75 0.99 1.07 0.98 0.79 0.62 0.56 0.60 0.67 0.68 0.57 0.36 0.17 0.09 0.19 0.42 0.66 0.78 0.71 0.49 0.23 0.05 0.03 0.13 0.26 0.33 0.30 0.19 0.10 0.11 0.25 0.46 0.64 55.0 + 57.5 0.83 0.85 0.70 0.46 0.22 0.08 0.08 0.21 0.38 0.53 0.61 0.61 0.59 0.57 0.58 0.61 0.65 0.65 0.63 0.61 0.61 0.66 0.76 0.86 0.91 0.87 0.75 0.59 0.45 0.40 0.44 0.56 0.66 0.68 0.57 0.37 0.16 0.07 0.16 0.42 0.75 1.01 1.12 1.05 0.87 0.68 0.60 0.62 0.69 0.71 0.62 0.44 0.24 0.15 0.21 0.41 0.64 0.77 0.75 0.57 0.36 0.22 0.21 0.32 0.46 0.54 0.51 0.42 0.35 0.37 0.50 0.69 0.83 0.85 0.70 0.46 0.22 0.08 0.08 0.21 0.38 0.53 0.61 0.61 0.59 0.57 0.58 0.61 0.65 0.65 0.63 0.61 0.61 0.66 0.76 0.86 0.91 0.87 0.75 0.59 0.45 0.40 0.44 0.56 0.66 0.68 0.57 0.37 0.16 0.07 0.16 0.42 0.75 1.01 1.12 1.05 0.87 0.68 0.60 0.62 0.69 0.71 0.62 0.44 0.24 0.15 0.21 0.41 0.64 0.77 0.75 0.57 0.36 0.22 0.21 0.32 0.46 0.54 0.51 0.42 0.35 0.37 0.50 0.69 0.83 57.5 + 60.0 0.95 0.92 0.75 0.47 0.20 0.02 0.00 0.08 0.23 0.38 0.49 0.54 0.55 0.57 0.60 0.64 0.69 0.73 0.76 0.78 0.81 0.85 0.88 0.91 0.90 0.84 0.75 0.64 0.54 0.48 0.47 0.50 0.52 0.48 0.37 0.21 0.06 0.01 0.11 0.35 0.66 0.93 1.06 1.03 0.89 0.74 0.67 0.70 0.78 0.82 0.78 0.63 0.47 0.37 0.41 0.57 0.76 0.89 0.88 0.74 0.57 0.46 0.47 0.58 0.72 0.80 0.78 0.70 0.62 0.62 0.72 0.86 0.95 0.92 0.75 0.47 0.20 0.02 0.00 0.08 0.23 0.38 0.49 0.54 0.55 0.57 0.60 0.64 0.69 0.73 0.76 0.78 0.81 0.85 0.88 0.91 0.90 0.84 0.75 0.64 0.54 0.48 0.47 0.50 0.52 0.48 0.37 0.21 0.06 0.01 0.11 0.35 0.66 0.93 1.06 1.03 0.89 0.74 0.67 0.70 0.78 0.82 0.78 0.63 0.47 0.37 0.41 0.57 0.76 0.89 0.88 0.74 0.57 0.46 0.47 0.58 0.72 0.80 0.78 0.70 0.62 0.62 0.72 0.86 0.95 60.0 + 62.5 0.96 0.90 0.72 0.46 0.20 0.02 0.00 0.01 0.12 0.25 0.34 0.40 0.43 0.45 0.49 0.54 0.60 0.66 0.73 0.80 0.84 0.85 0.83 0.79 0.73 0.68 0.64 0.61 0.57 0.53 0.49 0.45 0.39 0.31 0.20 0.07 0.00 0.00 0.03 0.23 0.49 0.74 0.89 0.92 0.87 0.80 0.78 0.85 0.96 1.05 1.07 0.99 0.88 0.80 0.82 0.93 1.07 1.15 1.12 0.99 0.84 0.74 0.75 0.85 0.97 1.04 1.01 0.92 0.81 0.77 0.82 0.90 0.96 0.90 0.72 0.46 0.20 0.02 0.00 0.01 0.12 0.25 0.34 0.40 0.43 0.45 0.49 0.54 0.60 0.66 0.73 0.80 0.84 0.85 0.83 0.79 0.73 0.68 0.64 0.61 0.57 0.53 0.49 0.45 0.39 0.31 0.20 0.07 0.00 0.00 0.03 0.23 0.49 0.74 0.89 0.92 0.87 0.80 0.78 0.85 0.96 1.05 1.07 0.99 0.88 0.80 0.82 0.93 1.07 1.15 1.12 0.99 0.84 0.74 0.75 0.85 0.97 1.04 1.01 0.92 0.81 0.77 0.82 0.90 0.96 62.5 + 65.0 0.83 0.78 0.64 0.43 0.21 0.06 0.00 0.02 0.08 0.16 0.22 0.25 0.26 0.27 0.28 0.31 0.37 0.45 0.54 0.63 0.67 0.66 0.60 0.51 0.44 0.42 0.45 0.49 0.52 0.51 0.44 0.35 0.24 0.14 0.05 0.00 0.00 0.00 0.00 0.09 0.30 0.53 0.72 0.83 0.89 0.93 1.00 1.13 1.30 1.46 1.54 1.55 1.49 1.44 1.43 1.47 1.52 1.53 1.44 1.28 1.11 1.00 0.98 1.06 1.15 1.19 1.14 1.01 0.87 0.78 0.77 0.80 0.83 0.78 0.64 0.43 0.21 0.06 0.00 0.02 0.08 0.16 0.22 0.25 0.26 0.27 0.28 0.31 0.37 0.45 0.54 0.63 0.67 0.66 0.60 0.51 0.44 0.42 0.45 0.49 0.52 0.51 0.44 0.35 0.24 0.14 0.05 0.00 0.00 0.00 0.00 0.09 0.30 0.53 0.72 0.83 0.89 0.93 1.00 1.13 1.30 1.46 1.54 1.55 1.49 1.44 1.43 1.47 1.52 1.53 1.44 1.28 1.11 1.00 0.98 1.06 1.15 1.19 1.14 1.01 0.87 0.78 0.77 0.80 0.83 65.0 + 67.5 0.63 0.60 0.51 0.37 0.23 0.13 0.08 0.09 0.12 0.16 0.18 0.17 0.16 0.13 0.10 0.09 0.11 0.19 0.29 0.37 0.41 0.37 0.27 0.16 0.10 0.11 0.19 0.30 0.37 0.36 0.28 0.16 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.19 0.44 0.69 0.91 1.09 1.25 1.43 1.64 1.88 2.10 2.26 2.33 2.31 2.24 2.17 2.12 2.06 1.95 1.78 1.56 1.34 1.19 1.14 1.18 1.24 1.25 1.16 1.00 0.81 0.67 0.61 0.61 0.63 0.60 0.51 0.37 0.23 0.13 0.08 0.09 0.12 0.16 0.18 0.17 0.16 0.13 0.10 0.09 0.11 0.19 0.29 0.37 0.41 0.37 0.27 0.16 0.10 0.11 0.19 0.30 0.37 0.36 0.28 0.16 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.19 0.44 0.69 0.91 1.09 1.25 1.43 1.64 1.88 2.10 2.26 2.33 2.31 2.24 2.17 2.12 2.06 1.95 1.78 1.56 1.34 1.19 1.14 1.18 1.24 1.25 1.16 1.00 0.81 0.67 0.61 0.61 0.63 67.5 + 70.0 0.43 0.42 0.38 0.31 0.24 0.20 0.19 0.21 0.23 0.25 0.26 0.24 0.19 0.12 0.05 0.00 0.00 0.03 0.12 0.20 0.22 0.15 0.02 0.00 0.00 0.00 0.00 0.11 0.18 0.16 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.28 0.58 0.93 1.27 1.58 1.85 2.13 2.42 2.72 3.00 3.21 3.29 3.25 3.12 2.94 2.76 2.56 2.34 2.07 1.78 1.51 1.31 1.22 1.22 1.24 1.23 1.12 0.94 0.72 0.55 0.45 0.42 0.43 0.42 0.38 0.31 0.24 0.20 0.19 0.21 0.23 0.25 0.26 0.24 0.19 0.12 0.05 0.00 0.00 0.03 0.12 0.20 0.22 0.15 0.02 0.00 0.00 0.00 0.00 0.11 0.18 0.16 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.28 0.58 0.93 1.27 1.58 1.85 2.13 2.42 2.72 3.00 3.21 3.29 3.25 3.12 2.94 2.76 2.56 2.34 2.07 1.78 1.51 1.31 1.22 1.22 1.24 1.23 1.12 0.94 0.72 0.55 0.45 0.42 0.43 70.0 + 72.5 0.32 0.32 0.32 0.29 0.27 0.27 0.29 0.32 0.37 0.41 0.44 0.44 0.40 0.30 0.19 0.09 0.05 0.09 0.18 0.26 0.26 0.16 0.00 0.00 0.00 0.00 0.00 0.06 0.09 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.11 0.18 0.33 0.61 1.00 1.45 1.90 2.31 2.67 3.01 3.35 3.70 4.02 4.23 4.29 4.17 3.92 3.59 3.25 2.93 2.60 2.27 1.93 1.61 1.36 1.23 1.19 1.20 1.18 1.08 0.90 0.68 0.48 0.36 0.32 0.32 0.32 0.32 0.29 0.27 0.27 0.29 0.32 0.37 0.41 0.44 0.44 0.40 0.30 0.19 0.09 0.05 0.09 0.18 0.26 0.26 0.16 0.00 0.00 0.00 0.00 0.00 0.06 0.09 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.11 0.18 0.33 0.61 1.00 1.45 1.90 2.31 2.67 3.01 3.35 3.70 4.02 4.23 4.29 4.17 3.92 3.59 3.25 2.93 2.60 2.27 1.93 1.61 1.36 1.23 1.19 1.20 1.18 1.08 0.90 0.68 0.48 0.36 0.32 0.32 72.5 + 75.0 0.30 0.31 0.32 0.32 0.31 0.32 0.35 0.40 0.47 0.56 0.64 0.70 0.68 0.59 0.46 0.33 0.29 0.34 0.46 0.56 0.58 0.47 0.28 0.10 0.02 0.06 0.17 0.24 0.22 0.08 0.00 0.00 0.00 0.00 0.08 0.28 0.41 0.50 0.59 0.77 1.09 1.55 2.09 2.61 3.07 3.46 3.81 4.18 4.55 4.88 5.08 5.08 4.85 4.45 3.96 3.47 3.04 2.67 2.32 1.97 1.63 1.35 1.17 1.10 1.10 1.10 1.04 0.89 0.69 0.51 0.38 0.31 0.30 0.31 0.32 0.32 0.31 0.32 0.35 0.40 0.47 0.56 0.64 0.70 0.68 0.59 0.46 0.33 0.29 0.34 0.46 0.56 0.58 0.47 0.28 0.10 0.02 0.06 0.17 0.24 0.22 0.08 0.00 0.00 0.00 0.00 0.08 0.28 0.41 0.50 0.59 0.77 1.09 1.55 2.09 2.61 3.07 3.46 3.81 4.18 4.55 4.88 5.08 5.08 4.85 4.45 3.96 3.47 3.04 2.67 2.32 1.97 1.63 1.35 1.17 1.10 1.10 1.10 1.04 0.89 0.69 0.51 0.38 0.31 0.30 75.0 + 77.5 0.34 0.35 0.35 0.35 0.34 0.33 0.34 0.37 0.45 0.59 0.75 0.87 0.91 0.85 0.70 0.57 0.53 0.63 0.82 1.00 1.06 0.96 0.76 0.56 0.46 0.49 0.58 0.64 0.56 0.37 0.14 0.00 0.01 0.19 0.47 0.73 0.90 0.98 1.06 1.23 1.55 2.03 2.59 3.13 3.57 3.93 4.24 4.57 4.93 5.26 5.45 5.40 5.07 4.53 3.89 3.31 2.84 2.48 2.18 1.88 1.55 1.25 1.03 0.93 0.93 0.96 0.95 0.87 0.73 0.57 0.44 0.37 0.34 0.35 0.35 0.35 0.34 0.33 0.34 0.37 0.45 0.59 0.75 0.87 0.91 0.85 0.70 0.57 0.53 0.63 0.82 1.00 1.06 0.96 0.76 0.56 0.46 0.49 0.58 0.64 0.56 0.37 0.14 0.00 0.01 0.19 0.47 0.73 0.90 0.98 1.06 1.23 1.55 2.03 2.59 3.13 3.57 3.93 4.24 4.57 4.93 5.26 5.45 5.40 5.07 4.53 3.89 3.31 2.84 2.48 2.18 1.88 1.55 1.25 1.03 0.93 0.93 0.96 0.95 0.87 0.73 0.57 0.44 0.37 0.34 77.5 + 80.0 0.36 0.36 0.37 0.36 0.33 0.28 0.23 0.22 0.28 0.44 0.66 0.86 0.96 0.92 0.77 0.63 0.61 0.77 1.06 1.35 1.49 1.45 1.25 1.03 0.91 0.93 1.02 1.07 0.99 0.76 0.50 0.33 0.37 0.59 0.93 1.22 1.40 1.44 1.45 1.55 1.81 2.24 2.75 3.23 3.60 3.87 4.09 4.35 4.68 5.00 5.19 5.12 4.73 4.09 3.37 2.74 2.29 2.02 1.83 1.62 1.35 1.04 0.79 0.65 0.64 0.70 0.77 0.78 0.71 0.59 0.47 0.39 0.36 0.36 0.37 0.36 0.33 0.28 0.23 0.22 0.28 0.44 0.66 0.86 0.96 0.92 0.77 0.63 0.61 0.77 1.06 1.35 1.49 1.45 1.25 1.03 0.91 0.93 1.02 1.07 0.99 0.76 0.50 0.33 0.37 0.59 0.93 1.22 1.40 1.44 1.45 1.55 1.81 2.24 2.75 3.23 3.60 3.87 4.09 4.35 4.68 5.00 5.19 5.12 4.73 4.09 3.37 2.74 2.29 2.02 1.83 1.62 1.35 1.04 0.79 0.65 0.64 0.70 0.77 0.78 0.71 0.59 0.47 0.39 0.36 80.0 + 82.5 0.29 0.29 0.31 0.31 0.26 0.16 0.03 0.00 0.00 0.13 0.39 0.65 0.79 0.76 0.60 0.44 0.43 0.65 1.04 1.45 1.70 1.72 1.54 1.30 1.16 1.17 1.29 1.37 1.31 1.09 0.82 0.65 0.68 0.94 1.30 1.62 1.78 1.76 1.67 1.65 1.79 2.11 2.52 2.91 3.17 3.31 3.41 3.57 3.84 4.16 4.37 4.32 3.92 3.26 2.51 1.88 1.49 1.34 1.29 1.21 1.02 0.73 0.44 0.26 0.23 0.34 0.48 0.57 0.58 0.51 0.41 0.33 0.29 0.29 0.31 0.31 0.26 0.16 0.03 0.00 0.00 0.13 0.39 0.65 0.79 0.76 0.60 0.44 0.43 0.65 1.04 1.45 1.70 1.72 1.54 1.30 1.16 1.17 1.29 1.37 1.31 1.09 0.82 0.65 0.68 0.94 1.30 1.62 1.78 1.76 1.67 1.65 1.79 2.11 2.52 2.91 3.17 3.31 3.41 3.57 3.84 4.16 4.37 4.32 3.92 3.26 2.51 1.88 1.49 1.34 1.29 1.21 1.02 0.73 0.44 0.26 0.23 0.34 0.48 0.57 0.58 0.51 0.41 0.33 0.29 82.5 + 85.0 0.14 0.16 0.19 0.21 0.15 0.00 0.00 0.00 0.00 0.00 0.03 0.32 0.49 0.47 0.28 0.09 0.07 0.31 0.78 1.30 1.66 1.75 1.59 1.34 1.17 1.17 1.30 1.43 1.43 1.26 1.01 0.84 0.87 1.13 1.51 1.84 1.99 1.92 1.72 1.56 1.55 1.74 2.05 2.33 2.48 2.50 2.48 2.54 2.74 3.05 3.29 3.29 2.93 2.29 1.55 0.95 0.63 0.59 0.69 0.74 0.63 0.36 0.04 0.00 0.00 0.00 0.12 0.30 0.38 0.35 0.27 0.18 0.14 0.16 0.19 0.21 0.15 0.00 0.00 0.00 0.00 0.00 0.03 0.32 0.49 0.47 0.28 0.09 0.07 0.31 0.78 1.30 1.66 1.75 1.59 1.34 1.17 1.17 1.30 1.43 1.43 1.26 1.01 0.84 0.87 1.13 1.51 1.84 1.99 1.92 1.72 1.56 1.55 1.74 2.05 2.33 2.48 2.50 2.48 2.54 2.74 3.05 3.29 3.29 2.93 2.29 1.55 0.95 0.63 0.59 0.69 0.74 0.63 0.36 0.04 0.00 0.00 0.00 0.12 0.30 0.38 0.35 0.27 0.18 0.14 85.0 + 87.5 0.00 0.03 0.08 0.11 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.23 0.21 0.00 0.00 0.00 0.00 0.49 1.10 1.55 1.71 1.57 1.30 1.10 1.07 1.20 1.37 1.43 1.31 1.10 0.94 0.96 1.22 1.59 1.93 2.06 1.95 1.68 1.40 1.27 1.34 1.56 1.77 1.86 1.80 1.68 1.64 1.78 2.06 2.33 2.38 2.09 1.50 0.79 0.22 0.00 0.00 0.19 0.34 0.29 0.05 0.00 0.00 0.00 0.00 0.00 0.04 0.17 0.19 0.12 0.04 0.00 0.03 0.08 0.11 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.23 0.21 0.00 0.00 0.00 0.00 0.49 1.10 1.55 1.71 1.57 1.30 1.10 1.07 1.20 1.37 1.43 1.31 1.10 0.94 0.96 1.22 1.59 1.93 2.06 1.95 1.68 1.40 1.27 1.34 1.56 1.77 1.86 1.80 1.68 1.64 1.78 2.06 2.33 2.38 2.09 1.50 0.79 0.22 0.00 0.00 0.19 0.34 0.29 0.05 0.00 0.00 0.00 0.00 0.00 0.04 0.17 0.19 0.12 0.04 0.00 87.5 + 90.0 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.44 1.10 1.63 1.85 1.75 1.48 1.23 1.15 1.26 1.43 1.51 1.43 1.24 1.07 1.07 1.28 1.63 1.95 2.08 1.95 1.63 1.28 1.07 1.07 1.24 1.43 1.51 1.43 1.26 1.15 1.23 1.48 1.75 1.85 1.63 1.10 0.44 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.44 1.10 1.63 1.85 1.75 1.48 1.23 1.15 1.26 1.43 1.51 1.43 1.24 1.07 1.07 1.28 1.63 1.95 2.08 1.95 1.63 1.28 1.07 1.07 1.24 1.43 1.51 1.43 1.26 1.15 1.23 1.48 1.75 1.85 1.63 1.10 0.44 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 90.0 + + 60.0 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 4.83 ) PHI2 = 60. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.0 + 2.5 0.37 0.36 0.39 0.49 0.65 0.84 1.06 1.28 1.52 1.78 2.02 2.21 2.29 2.24 2.09 1.86 1.61 1.37 1.15 0.93 0.72 0.55 0.43 0.38 0.37 0.34 0.23 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.25 0.36 0.40 0.41 0.45 0.55 0.72 0.92 1.14 1.36 1.60 1.84 2.05 2.20 2.25 2.17 1.99 1.76 1.51 1.27 1.05 0.84 0.65 0.50 0.41 0.39 0.40 0.38 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.27 0.36 0.37 0.36 0.39 0.49 0.65 0.84 1.06 1.28 1.52 1.78 2.02 2.21 2.29 2.24 2.09 1.86 1.61 1.37 1.15 0.93 0.72 0.55 0.43 0.38 0.37 0.34 0.23 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.25 0.36 0.40 0.41 0.45 0.55 0.72 0.92 1.14 1.36 1.60 1.84 2.05 2.20 2.25 2.17 1.99 1.76 1.51 1.27 1.05 0.84 0.65 0.50 0.41 0.39 0.40 0.38 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.27 0.36 0.37 2.5 + 5.0 0.36 0.30 0.30 0.36 0.50 0.69 0.90 1.15 1.42 1.73 2.04 2.29 2.43 2.42 2.28 2.05 1.77 1.50 1.25 1.02 0.80 0.62 0.49 0.43 0.41 0.39 0.32 0.16 0.00 0.00 0.00 0.00 0.00 0.15 0.34 0.46 0.50 0.51 0.53 0.61 0.76 0.95 1.19 1.44 1.70 1.94 2.15 2.26 2.26 2.14 1.92 1.66 1.38 1.12 0.88 0.67 0.51 0.40 0.38 0.42 0.48 0.50 0.43 0.28 0.08 0.00 0.00 0.00 0.10 0.27 0.38 0.40 0.36 0.30 0.30 0.36 0.50 0.69 0.90 1.15 1.42 1.73 2.04 2.29 2.43 2.42 2.28 2.05 1.77 1.50 1.25 1.02 0.80 0.62 0.49 0.43 0.41 0.39 0.32 0.16 0.00 0.00 0.00 0.00 0.00 0.15 0.34 0.46 0.50 0.51 0.53 0.61 0.76 0.95 1.19 1.44 1.70 1.94 2.15 2.26 2.26 2.14 1.92 1.66 1.38 1.12 0.88 0.67 0.51 0.40 0.38 0.42 0.48 0.50 0.43 0.28 0.08 0.00 0.00 0.00 0.10 0.27 0.38 0.40 0.36 5.0 + 7.5 0.38 0.28 0.23 0.26 0.36 0.52 0.73 0.98 1.29 1.65 2.03 2.36 2.57 2.63 2.52 2.30 2.01 1.73 1.46 1.23 1.02 0.84 0.71 0.64 0.63 0.62 0.58 0.47 0.31 0.15 0.06 0.07 0.20 0.39 0.56 0.68 0.71 0.70 0.69 0.73 0.84 1.02 1.26 1.53 1.81 2.06 2.23 2.30 2.25 2.07 1.82 1.53 1.23 0.96 0.71 0.51 0.38 0.34 0.39 0.50 0.61 0.67 0.63 0.50 0.35 0.23 0.20 0.28 0.40 0.51 0.54 0.49 0.38 0.28 0.23 0.26 0.36 0.52 0.73 0.98 1.29 1.65 2.03 2.36 2.57 2.63 2.52 2.30 2.01 1.73 1.46 1.23 1.02 0.84 0.71 0.64 0.63 0.62 0.58 0.47 0.31 0.15 0.06 0.07 0.20 0.39 0.56 0.68 0.71 0.70 0.69 0.73 0.84 1.02 1.26 1.53 1.81 2.06 2.23 2.30 2.25 2.07 1.82 1.53 1.23 0.96 0.71 0.51 0.38 0.34 0.39 0.50 0.61 0.67 0.63 0.50 0.35 0.23 0.20 0.28 0.40 0.51 0.54 0.49 0.38 7.5 + 10.0 0.45 0.32 0.25 0.25 0.31 0.43 0.60 0.83 1.14 1.53 1.95 2.35 2.65 2.77 2.73 2.54 2.28 2.02 1.78 1.57 1.40 1.25 1.13 1.06 1.05 1.06 1.05 0.99 0.86 0.71 0.58 0.55 0.62 0.76 0.91 1.01 1.03 0.99 0.93 0.90 0.95 1.10 1.33 1.61 1.89 2.13 2.26 2.28 2.17 1.96 1.69 1.41 1.12 0.86 0.63 0.45 0.36 0.38 0.49 0.64 0.78 0.84 0.80 0.69 0.57 0.49 0.50 0.58 0.68 0.73 0.70 0.59 0.45 0.32 0.25 0.25 0.31 0.43 0.60 0.83 1.14 1.53 1.95 2.35 2.65 2.77 2.73 2.54 2.28 2.02 1.78 1.57 1.40 1.25 1.13 1.06 1.05 1.06 1.05 0.99 0.86 0.71 0.58 0.55 0.62 0.76 0.91 1.01 1.03 0.99 0.93 0.90 0.95 1.10 1.33 1.61 1.89 2.13 2.26 2.28 2.17 1.96 1.69 1.41 1.12 0.86 0.63 0.45 0.36 0.38 0.49 0.64 0.78 0.84 0.80 0.69 0.57 0.49 0.50 0.58 0.68 0.73 0.70 0.59 0.45 10.0 + 12.5 0.55 0.42 0.35 0.33 0.35 0.42 0.53 0.71 0.98 1.35 1.79 2.22 2.57 2.78 2.81 2.70 2.51 2.30 2.13 1.98 1.85 1.74 1.64 1.58 1.57 1.60 1.62 1.59 1.48 1.32 1.16 1.07 1.09 1.18 1.30 1.38 1.38 1.29 1.17 1.07 1.07 1.17 1.38 1.66 1.93 2.13 2.22 2.17 2.02 1.80 1.55 1.30 1.07 0.84 0.65 0.51 0.46 0.51 0.65 0.81 0.93 0.96 0.89 0.77 0.68 0.65 0.70 0.79 0.87 0.88 0.82 0.69 0.55 0.42 0.35 0.33 0.35 0.42 0.53 0.71 0.98 1.35 1.79 2.22 2.57 2.78 2.81 2.70 2.51 2.30 2.13 1.98 1.85 1.74 1.64 1.58 1.57 1.60 1.62 1.59 1.48 1.32 1.16 1.07 1.09 1.18 1.30 1.38 1.38 1.29 1.17 1.07 1.07 1.17 1.38 1.66 1.93 2.13 2.22 2.17 2.02 1.80 1.55 1.30 1.07 0.84 0.65 0.51 0.46 0.51 0.65 0.81 0.93 0.96 0.89 0.77 0.68 0.65 0.70 0.79 0.87 0.88 0.82 0.69 0.55 12.5 + 15.0 0.61 0.52 0.46 0.43 0.42 0.43 0.47 0.59 0.80 1.12 1.52 1.95 2.33 2.60 2.72 2.70 2.61 2.50 2.40 2.31 2.23 2.14 2.05 1.99 1.98 2.03 2.07 2.06 1.97 1.80 1.61 1.48 1.45 1.50 1.59 1.65 1.61 1.49 1.32 1.18 1.13 1.21 1.41 1.67 1.92 2.09 2.12 2.03 1.85 1.63 1.41 1.22 1.04 0.87 0.71 0.61 0.59 0.66 0.80 0.94 1.01 0.97 0.86 0.74 0.67 0.69 0.78 0.89 0.95 0.94 0.86 0.74 0.61 0.52 0.46 0.43 0.42 0.43 0.47 0.59 0.80 1.12 1.52 1.95 2.33 2.60 2.72 2.70 2.61 2.50 2.40 2.31 2.23 2.14 2.05 1.99 1.98 2.03 2.07 2.06 1.97 1.80 1.61 1.48 1.45 1.50 1.59 1.65 1.61 1.49 1.32 1.18 1.13 1.21 1.41 1.67 1.92 2.09 2.12 2.03 1.85 1.63 1.41 1.22 1.04 0.87 0.71 0.61 0.59 0.66 0.80 0.94 1.01 0.97 0.86 0.74 0.67 0.69 0.78 0.89 0.95 0.94 0.86 0.74 0.61 15.0 + 17.5 0.59 0.53 0.49 0.45 0.41 0.38 0.37 0.43 0.58 0.84 1.18 1.57 1.95 2.25 2.45 2.54 2.55 2.54 2.50 2.46 2.39 2.30 2.20 2.14 2.13 2.19 2.25 2.27 2.18 2.02 1.82 1.67 1.60 1.63 1.69 1.71 1.65 1.50 1.31 1.16 1.11 1.20 1.40 1.66 1.90 2.03 2.02 1.90 1.69 1.48 1.29 1.14 1.00 0.87 0.75 0.67 0.67 0.75 0.87 0.96 0.97 0.88 0.73 0.61 0.58 0.65 0.78 0.91 0.96 0.92 0.82 0.69 0.59 0.53 0.49 0.45 0.41 0.38 0.37 0.43 0.58 0.84 1.18 1.57 1.95 2.25 2.45 2.54 2.55 2.54 2.50 2.46 2.39 2.30 2.20 2.14 2.13 2.19 2.25 2.27 2.18 2.02 1.82 1.67 1.60 1.63 1.69 1.71 1.65 1.50 1.31 1.16 1.11 1.20 1.40 1.66 1.90 2.03 2.02 1.90 1.69 1.48 1.29 1.14 1.00 0.87 0.75 0.67 0.67 0.75 0.87 0.96 0.97 0.88 0.73 0.61 0.58 0.65 0.78 0.91 0.96 0.92 0.82 0.69 0.59 17.5 + 20.0 0.47 0.42 0.39 0.35 0.29 0.23 0.20 0.22 0.33 0.53 0.80 1.13 1.48 1.79 2.04 2.23 2.35 2.42 2.44 2.42 2.35 2.24 2.13 2.06 2.06 2.13 2.22 2.25 2.18 2.02 1.83 1.67 1.59 1.58 1.60 1.59 1.50 1.34 1.16 1.04 1.03 1.15 1.38 1.64 1.86 1.97 1.94 1.80 1.59 1.38 1.20 1.06 0.94 0.82 0.71 0.64 0.65 0.72 0.82 0.87 0.82 0.69 0.53 0.44 0.46 0.59 0.76 0.89 0.91 0.83 0.69 0.56 0.47 0.42 0.39 0.35 0.29 0.23 0.20 0.22 0.33 0.53 0.80 1.13 1.48 1.79 2.04 2.23 2.35 2.42 2.44 2.42 2.35 2.24 2.13 2.06 2.06 2.13 2.22 2.25 2.18 2.02 1.83 1.67 1.59 1.58 1.60 1.59 1.50 1.34 1.16 1.04 1.03 1.15 1.38 1.64 1.86 1.97 1.94 1.80 1.59 1.38 1.20 1.06 0.94 0.82 0.71 0.64 0.65 0.72 0.82 0.87 0.82 0.69 0.53 0.44 0.46 0.59 0.76 0.89 0.91 0.83 0.69 0.56 0.47 20.0 + 22.5 0.28 0.23 0.20 0.14 0.07 0.00 0.00 0.00 0.07 0.23 0.44 0.70 0.99 1.29 1.59 1.85 2.06 2.22 2.31 2.31 2.24 2.13 2.03 1.98 2.01 2.11 2.21 2.25 2.19 2.03 1.84 1.67 1.56 1.51 1.47 1.40 1.27 1.12 0.97 0.90 0.94 1.10 1.34 1.60 1.80 1.90 1.86 1.71 1.51 1.31 1.13 0.99 0.85 0.72 0.60 0.54 0.55 0.61 0.69 0.71 0.63 0.48 0.33 0.28 0.37 0.55 0.74 0.85 0.83 0.70 0.52 0.37 0.28 0.23 0.20 0.14 0.07 0.00 0.00 0.00 0.07 0.23 0.44 0.70 0.99 1.29 1.59 1.85 2.06 2.22 2.31 2.31 2.24 2.13 2.03 1.98 2.01 2.11 2.21 2.25 2.19 2.03 1.84 1.67 1.56 1.51 1.47 1.40 1.27 1.12 0.97 0.90 0.94 1.10 1.34 1.60 1.80 1.90 1.86 1.71 1.51 1.31 1.13 0.99 0.85 0.72 0.60 0.54 0.55 0.61 0.69 0.71 0.63 0.48 0.33 0.28 0.37 0.55 0.74 0.85 0.83 0.70 0.52 0.37 0.28 22.5 + 25.0 0.08 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.34 0.57 0.84 1.16 1.49 1.80 2.05 2.21 2.28 2.26 2.20 2.16 2.17 2.26 2.39 2.49 2.52 2.44 2.26 2.05 1.85 1.69 1.56 1.43 1.29 1.12 0.96 0.85 0.83 0.90 1.07 1.29 1.51 1.68 1.75 1.71 1.58 1.41 1.22 1.06 0.91 0.76 0.61 0.49 0.43 0.43 0.49 0.55 0.55 0.45 0.30 0.18 0.17 0.30 0.51 0.71 0.79 0.72 0.54 0.33 0.17 0.08 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.34 0.57 0.84 1.16 1.49 1.80 2.05 2.21 2.28 2.26 2.20 2.16 2.17 2.26 2.39 2.49 2.52 2.44 2.26 2.05 1.85 1.69 1.56 1.43 1.29 1.12 0.96 0.85 0.83 0.90 1.07 1.29 1.51 1.68 1.75 1.71 1.58 1.41 1.22 1.06 0.91 0.76 0.61 0.49 0.43 0.43 0.49 0.55 0.55 0.45 0.30 0.18 0.17 0.30 0.51 0.71 0.79 0.72 0.54 0.33 0.17 0.08 25.0 + 27.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.26 0.51 0.83 1.22 1.62 1.98 2.25 2.42 2.50 2.56 2.63 2.75 2.91 3.06 3.15 3.13 3.00 2.78 2.51 2.25 2.01 1.78 1.56 1.33 1.13 0.97 0.88 0.87 0.94 1.06 1.21 1.35 1.44 1.48 1.45 1.35 1.22 1.08 0.95 0.81 0.67 0.53 0.42 0.36 0.37 0.43 0.47 0.44 0.34 0.19 0.09 0.10 0.25 0.46 0.64 0.68 0.57 0.37 0.15 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.26 0.51 0.83 1.22 1.62 1.98 2.25 2.42 2.50 2.56 2.63 2.75 2.91 3.06 3.15 3.13 3.00 2.78 2.51 2.25 2.01 1.78 1.56 1.33 1.13 0.97 0.88 0.87 0.94 1.06 1.21 1.35 1.44 1.48 1.45 1.35 1.22 1.08 0.95 0.81 0.67 0.53 0.42 0.36 0.37 0.43 0.47 0.44 0.34 0.19 0.09 0.10 0.25 0.46 0.64 0.68 0.57 0.37 0.15 0.01 0.00 27.5 + 30.0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.31 0.64 1.07 1.55 2.01 2.39 2.68 2.90 3.10 3.31 3.55 3.77 3.93 3.98 3.89 3.67 3.38 3.05 2.72 2.40 2.08 1.76 1.47 1.24 1.09 1.01 1.00 1.02 1.06 1.08 1.11 1.12 1.12 1.09 1.03 0.95 0.86 0.77 0.68 0.58 0.48 0.39 0.36 0.37 0.42 0.45 0.41 0.29 0.15 0.05 0.08 0.21 0.40 0.53 0.53 0.40 0.19 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.31 0.64 1.07 1.55 2.01 2.39 2.68 2.90 3.10 3.31 3.55 3.77 3.93 3.98 3.89 3.67 3.38 3.05 2.72 2.40 2.08 1.76 1.47 1.24 1.09 1.01 1.00 1.02 1.06 1.08 1.11 1.12 1.12 1.09 1.03 0.95 0.86 0.77 0.68 0.58 0.48 0.39 0.36 0.37 0.42 0.45 0.41 0.29 0.15 0.05 0.08 0.21 0.40 0.53 0.53 0.40 0.19 0.01 0.00 0.00 30.0 + 32.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.27 0.59 1.03 1.55 2.06 2.52 2.91 3.24 3.56 3.88 4.20 4.45 4.59 4.57 4.39 4.10 3.74 3.37 2.99 2.62 2.24 1.88 1.57 1.34 1.22 1.16 1.14 1.10 1.02 0.92 0.83 0.76 0.72 0.70 0.68 0.64 0.60 0.56 0.52 0.47 0.43 0.39 0.39 0.42 0.45 0.46 0.40 0.27 0.14 0.05 0.08 0.19 0.33 0.41 0.37 0.22 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.27 0.59 1.03 1.55 2.06 2.52 2.91 3.24 3.56 3.88 4.20 4.45 4.59 4.57 4.39 4.10 3.74 3.37 2.99 2.62 2.24 1.88 1.57 1.34 1.22 1.16 1.14 1.10 1.02 0.92 0.83 0.76 0.72 0.70 0.68 0.64 0.60 0.56 0.52 0.47 0.43 0.39 0.39 0.42 0.45 0.46 0.40 0.27 0.14 0.05 0.08 0.19 0.33 0.41 0.37 0.22 0.03 0.00 0.00 0.00 32.5 + 35.0 0.00 0.04 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.16 0.33 0.63 1.05 1.55 2.05 2.50 2.90 3.27 3.63 4.00 4.33 4.57 4.66 4.56 4.31 3.97 3.60 3.23 2.86 2.49 2.12 1.77 1.49 1.31 1.24 1.22 1.19 1.10 0.94 0.75 0.58 0.46 0.41 0.40 0.40 0.39 0.38 0.36 0.35 0.36 0.37 0.39 0.42 0.45 0.47 0.44 0.36 0.24 0.12 0.07 0.10 0.19 0.29 0.32 0.23 0.07 0.00 0.00 0.00 0.00 0.04 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.16 0.33 0.63 1.05 1.55 2.05 2.50 2.90 3.27 3.63 4.00 4.33 4.57 4.66 4.56 4.31 3.97 3.60 3.23 2.86 2.49 2.12 1.77 1.49 1.31 1.24 1.22 1.19 1.10 0.94 0.75 0.58 0.46 0.41 0.40 0.40 0.39 0.38 0.36 0.35 0.36 0.37 0.39 0.42 0.45 0.47 0.44 0.36 0.24 0.12 0.07 0.10 0.19 0.29 0.32 0.23 0.07 0.00 0.00 0.00 0.00 35.0 + 37.5 0.00 0.09 0.12 0.05 0.00 0.00 0.00 0.00 0.00 0.07 0.15 0.21 0.28 0.43 0.69 1.06 1.48 1.89 2.25 2.57 2.87 3.19 3.52 3.81 3.98 4.00 3.84 3.56 3.23 2.90 2.60 2.32 2.03 1.72 1.43 1.21 1.11 1.10 1.14 1.13 1.03 0.84 0.61 0.41 0.30 0.26 0.27 0.29 0.28 0.25 0.23 0.22 0.25 0.31 0.38 0.44 0.47 0.46 0.40 0.29 0.17 0.09 0.07 0.12 0.22 0.28 0.26 0.14 0.00 0.00 0.00 0.00 0.00 0.09 0.12 0.05 0.00 0.00 0.00 0.00 0.00 0.07 0.15 0.21 0.28 0.43 0.69 1.06 1.48 1.89 2.25 2.57 2.87 3.19 3.52 3.81 3.98 4.00 3.84 3.56 3.23 2.90 2.60 2.32 2.03 1.72 1.43 1.21 1.11 1.10 1.14 1.13 1.03 0.84 0.61 0.41 0.30 0.26 0.27 0.29 0.28 0.25 0.23 0.22 0.25 0.31 0.38 0.44 0.47 0.46 0.40 0.29 0.17 0.09 0.07 0.12 0.22 0.28 0.26 0.14 0.00 0.00 0.00 0.00 0.00 37.5 + 40.0 0.00 0.10 0.14 0.09 0.00 0.00 0.00 0.00 0.12 0.23 0.29 0.33 0.38 0.50 0.71 1.00 1.30 1.57 1.78 1.95 2.12 2.33 2.57 2.77 2.88 2.83 2.64 2.37 2.10 1.88 1.72 1.57 1.41 1.20 0.99 0.85 0.81 0.86 0.94 0.98 0.90 0.73 0.53 0.36 0.27 0.28 0.32 0.35 0.33 0.27 0.20 0.17 0.20 0.28 0.39 0.47 0.49 0.45 0.34 0.20 0.08 0.02 0.05 0.14 0.25 0.29 0.24 0.09 0.00 0.00 0.00 0.00 0.00 0.10 0.14 0.09 0.00 0.00 0.00 0.00 0.12 0.23 0.29 0.33 0.38 0.50 0.71 1.00 1.30 1.57 1.78 1.95 2.12 2.33 2.57 2.77 2.88 2.83 2.64 2.37 2.10 1.88 1.72 1.57 1.41 1.20 0.99 0.85 0.81 0.86 0.94 0.98 0.90 0.73 0.53 0.36 0.27 0.28 0.32 0.35 0.33 0.27 0.20 0.17 0.20 0.28 0.39 0.47 0.49 0.45 0.34 0.20 0.08 0.02 0.05 0.14 0.25 0.29 0.24 0.09 0.00 0.00 0.00 0.00 0.00 40.0 + 42.5 0.01 0.12 0.16 0.13 0.08 0.05 0.09 0.18 0.29 0.37 0.40 0.40 0.42 0.50 0.66 0.85 1.03 1.15 1.19 1.20 1.23 1.33 1.47 1.61 1.66 1.57 1.38 1.15 0.97 0.89 0.89 0.91 0.88 0.78 0.65 0.54 0.53 0.60 0.72 0.80 0.78 0.67 0.51 0.39 0.35 0.39 0.46 0.50 0.47 0.38 0.26 0.19 0.20 0.29 0.42 0.52 0.54 0.46 0.30 0.11 0.00 0.00 0.01 0.14 0.26 0.29 0.22 0.06 0.00 0.00 0.00 0.00 0.01 0.12 0.16 0.13 0.08 0.05 0.09 0.18 0.29 0.37 0.40 0.40 0.42 0.50 0.66 0.85 1.03 1.15 1.19 1.20 1.23 1.33 1.47 1.61 1.66 1.57 1.38 1.15 0.97 0.89 0.89 0.91 0.88 0.78 0.65 0.54 0.53 0.60 0.72 0.80 0.78 0.67 0.51 0.39 0.35 0.39 0.46 0.50 0.47 0.38 0.26 0.19 0.20 0.29 0.42 0.52 0.54 0.46 0.30 0.11 0.00 0.00 0.01 0.14 0.26 0.29 0.22 0.06 0.00 0.00 0.00 0.00 0.01 42.5 + 45.0 0.07 0.17 0.21 0.19 0.17 0.18 0.25 0.35 0.44 0.48 0.45 0.41 0.39 0.43 0.53 0.65 0.72 0.71 0.63 0.52 0.46 0.49 0.58 0.68 0.71 0.62 0.45 0.27 0.18 0.21 0.35 0.51 0.61 0.59 0.49 0.39 0.35 0.41 0.54 0.65 0.70 0.65 0.55 0.46 0.45 0.51 0.60 0.65 0.63 0.51 0.37 0.26 0.24 0.33 0.47 0.59 0.62 0.51 0.30 0.06 0.00 0.00 0.00 0.10 0.23 0.26 0.17 0.01 0.00 0.00 0.00 0.00 0.07 0.17 0.21 0.19 0.17 0.18 0.25 0.35 0.44 0.48 0.45 0.41 0.39 0.43 0.53 0.65 0.72 0.71 0.63 0.52 0.46 0.49 0.58 0.68 0.71 0.62 0.45 0.27 0.18 0.21 0.35 0.51 0.61 0.59 0.49 0.39 0.35 0.41 0.54 0.65 0.70 0.65 0.55 0.46 0.45 0.51 0.60 0.65 0.63 0.51 0.37 0.26 0.24 0.33 0.47 0.59 0.62 0.51 0.30 0.06 0.00 0.00 0.00 0.10 0.23 0.26 0.17 0.01 0.00 0.00 0.00 0.00 0.07 45.0 + 47.5 0.19 0.28 0.29 0.27 0.25 0.29 0.37 0.48 0.54 0.54 0.47 0.38 0.33 0.34 0.40 0.46 0.46 0.37 0.22 0.07 0.00 0.00 0.10 0.21 0.25 0.17 0.01 0.00 0.00 0.00 0.17 0.42 0.59 0.62 0.52 0.38 0.29 0.31 0.42 0.57 0.67 0.69 0.63 0.55 0.52 0.56 0.65 0.72 0.72 0.61 0.45 0.31 0.27 0.34 0.50 0.64 0.68 0.56 0.32 0.05 0.00 0.00 0.00 0.05 0.18 0.21 0.12 0.00 0.00 0.00 0.00 0.05 0.19 0.28 0.29 0.27 0.25 0.29 0.37 0.48 0.54 0.54 0.47 0.38 0.33 0.34 0.40 0.46 0.46 0.37 0.22 0.07 0.00 0.00 0.10 0.21 0.25 0.17 0.01 0.00 0.00 0.00 0.17 0.42 0.59 0.62 0.52 0.38 0.29 0.31 0.42 0.57 0.67 0.69 0.63 0.55 0.52 0.56 0.65 0.72 0.72 0.61 0.45 0.31 0.27 0.34 0.50 0.64 0.68 0.56 0.32 0.05 0.00 0.00 0.00 0.05 0.18 0.21 0.12 0.00 0.00 0.00 0.00 0.05 0.19 47.5 + 50.0 0.36 0.42 0.40 0.34 0.30 0.33 0.42 0.52 0.58 0.56 0.47 0.37 0.30 0.29 0.32 0.34 0.31 0.20 0.04 0.00 0.00 0.00 0.04 0.17 0.22 0.15 0.00 0.00 0.00 0.00 0.21 0.49 0.69 0.72 0.61 0.42 0.28 0.26 0.38 0.56 0.71 0.77 0.73 0.64 0.56 0.56 0.63 0.71 0.73 0.65 0.49 0.33 0.25 0.31 0.46 0.62 0.69 0.59 0.36 0.08 0.00 0.00 0.00 0.05 0.17 0.18 0.10 0.00 0.00 0.00 0.05 0.22 0.36 0.42 0.40 0.34 0.30 0.33 0.42 0.52 0.58 0.56 0.47 0.37 0.30 0.29 0.32 0.34 0.31 0.20 0.04 0.00 0.00 0.00 0.04 0.17 0.22 0.15 0.00 0.00 0.00 0.00 0.21 0.49 0.69 0.72 0.61 0.42 0.28 0.26 0.38 0.56 0.71 0.77 0.73 0.64 0.56 0.56 0.63 0.71 0.73 0.65 0.49 0.33 0.25 0.31 0.46 0.62 0.69 0.59 0.36 0.08 0.00 0.00 0.00 0.05 0.17 0.18 0.10 0.00 0.00 0.00 0.05 0.22 0.36 50.0 + 52.5 0.55 0.56 0.48 0.37 0.29 0.30 0.37 0.47 0.54 0.53 0.47 0.39 0.33 0.32 0.34 0.35 0.30 0.20 0.07 0.00 0.00 0.08 0.24 0.38 0.43 0.36 0.20 0.05 0.00 0.10 0.32 0.57 0.74 0.76 0.63 0.43 0.27 0.24 0.36 0.57 0.78 0.88 0.85 0.73 0.61 0.55 0.59 0.67 0.71 0.66 0.50 0.33 0.22 0.24 0.38 0.56 0.66 0.61 0.42 0.17 0.00 0.00 0.00 0.14 0.25 0.26 0.18 0.08 0.03 0.09 0.25 0.43 0.55 0.56 0.48 0.37 0.29 0.30 0.37 0.47 0.54 0.53 0.47 0.39 0.33 0.32 0.34 0.35 0.30 0.20 0.07 0.00 0.00 0.08 0.24 0.38 0.43 0.36 0.20 0.05 0.00 0.10 0.32 0.57 0.74 0.76 0.63 0.43 0.27 0.24 0.36 0.57 0.78 0.88 0.85 0.73 0.61 0.55 0.59 0.67 0.71 0.66 0.50 0.33 0.22 0.24 0.38 0.56 0.66 0.61 0.42 0.17 0.00 0.00 0.00 0.14 0.25 0.26 0.18 0.08 0.03 0.09 0.25 0.43 0.55 52.5 + 55.0 0.71 0.66 0.52 0.35 0.22 0.19 0.25 0.35 0.43 0.47 0.46 0.43 0.42 0.43 0.45 0.45 0.41 0.33 0.24 0.21 0.25 0.37 0.52 0.64 0.66 0.57 0.41 0.25 0.17 0.21 0.37 0.55 0.68 0.68 0.55 0.36 0.21 0.20 0.34 0.59 0.83 0.97 0.96 0.83 0.67 0.58 0.58 0.66 0.72 0.69 0.55 0.36 0.22 0.21 0.33 0.51 0.65 0.66 0.54 0.35 0.20 0.16 0.24 0.37 0.47 0.48 0.40 0.30 0.27 0.33 0.48 0.63 0.71 0.66 0.52 0.35 0.22 0.19 0.25 0.35 0.43 0.47 0.46 0.43 0.42 0.43 0.45 0.45 0.41 0.33 0.24 0.21 0.25 0.37 0.52 0.64 0.66 0.57 0.41 0.25 0.17 0.21 0.37 0.55 0.68 0.68 0.55 0.36 0.21 0.20 0.34 0.59 0.83 0.97 0.96 0.83 0.67 0.58 0.58 0.66 0.72 0.69 0.55 0.36 0.22 0.21 0.33 0.51 0.65 0.66 0.54 0.35 0.20 0.16 0.24 0.37 0.47 0.48 0.40 0.30 0.27 0.33 0.48 0.63 0.71 55.0 + 57.5 0.80 0.70 0.51 0.28 0.12 0.05 0.09 0.18 0.29 0.37 0.42 0.46 0.49 0.53 0.56 0.56 0.53 0.48 0.44 0.45 0.52 0.63 0.74 0.79 0.77 0.67 0.51 0.37 0.28 0.28 0.36 0.46 0.52 0.49 0.38 0.23 0.12 0.14 0.30 0.56 0.82 0.98 1.00 0.89 0.74 0.64 0.64 0.72 0.80 0.79 0.68 0.50 0.35 0.32 0.42 0.60 0.77 0.83 0.77 0.65 0.54 0.52 0.60 0.72 0.81 0.80 0.72 0.61 0.56 0.60 0.70 0.79 0.80 0.70 0.51 0.28 0.12 0.05 0.09 0.18 0.29 0.37 0.42 0.46 0.49 0.53 0.56 0.56 0.53 0.48 0.44 0.45 0.52 0.63 0.74 0.79 0.77 0.67 0.51 0.37 0.28 0.28 0.36 0.46 0.52 0.49 0.38 0.23 0.12 0.14 0.30 0.56 0.82 0.98 1.00 0.89 0.74 0.64 0.64 0.72 0.80 0.79 0.68 0.50 0.35 0.32 0.42 0.60 0.77 0.83 0.77 0.65 0.54 0.52 0.60 0.72 0.81 0.80 0.72 0.61 0.56 0.60 0.70 0.79 0.80 57.5 + 60.0 0.82 0.68 0.45 0.21 0.03 0.00 0.00 0.03 0.14 0.24 0.34 0.42 0.49 0.55 0.58 0.59 0.57 0.55 0.55 0.60 0.67 0.75 0.79 0.78 0.72 0.62 0.51 0.42 0.35 0.33 0.34 0.35 0.34 0.29 0.19 0.08 0.02 0.06 0.21 0.45 0.71 0.89 0.94 0.89 0.79 0.74 0.77 0.87 0.97 1.01 0.94 0.81 0.69 0.66 0.75 0.91 1.08 1.16 1.15 1.06 0.98 0.97 1.03 1.12 1.18 1.16 1.05 0.92 0.83 0.80 0.84 0.86 0.82 0.68 0.45 0.21 0.03 0.00 0.00 0.03 0.14 0.24 0.34 0.42 0.49 0.55 0.58 0.59 0.57 0.55 0.55 0.60 0.67 0.75 0.79 0.78 0.72 0.62 0.51 0.42 0.35 0.33 0.34 0.35 0.34 0.29 0.19 0.08 0.02 0.06 0.21 0.45 0.71 0.89 0.94 0.89 0.79 0.74 0.77 0.87 0.97 1.01 0.94 0.81 0.69 0.66 0.75 0.91 1.08 1.16 1.15 1.06 0.98 0.97 1.03 1.12 1.18 1.16 1.05 0.92 0.83 0.80 0.84 0.86 0.82 60.0 + 62.5 0.76 0.61 0.40 0.17 0.00 0.00 0.00 0.00 0.02 0.11 0.21 0.30 0.38 0.44 0.47 0.46 0.45 0.46 0.51 0.58 0.66 0.69 0.67 0.61 0.53 0.46 0.42 0.40 0.39 0.36 0.32 0.26 0.19 0.11 0.03 0.00 0.00 0.00 0.08 0.28 0.51 0.70 0.81 0.84 0.84 0.86 0.95 1.10 1.26 1.36 1.37 1.32 1.26 1.25 1.33 1.46 1.59 1.65 1.62 1.52 1.43 1.39 1.42 1.47 1.49 1.44 1.31 1.14 0.99 0.90 0.87 0.84 0.76 0.61 0.40 0.17 0.00 0.00 0.00 0.00 0.02 0.11 0.21 0.30 0.38 0.44 0.47 0.46 0.45 0.46 0.51 0.58 0.66 0.69 0.67 0.61 0.53 0.46 0.42 0.40 0.39 0.36 0.32 0.26 0.19 0.11 0.03 0.00 0.00 0.00 0.08 0.28 0.51 0.70 0.81 0.84 0.84 0.86 0.95 1.10 1.26 1.36 1.37 1.32 1.26 1.25 1.33 1.46 1.59 1.65 1.62 1.52 1.43 1.39 1.42 1.47 1.49 1.44 1.31 1.14 0.99 0.90 0.87 0.84 0.76 62.5 + 65.0 0.66 0.53 0.35 0.17 0.03 0.00 0.00 0.00 0.00 0.02 0.08 0.15 0.21 0.24 0.24 0.22 0.21 0.24 0.32 0.42 0.48 0.49 0.43 0.33 0.26 0.23 0.27 0.33 0.36 0.34 0.27 0.16 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.49 0.67 0.82 0.94 1.07 1.25 1.47 1.69 1.87 1.98 2.02 2.03 2.05 2.10 2.17 2.22 2.20 2.09 1.94 1.79 1.70 1.67 1.68 1.66 1.58 1.42 1.22 1.03 0.89 0.80 0.74 0.66 0.53 0.35 0.17 0.03 0.00 0.00 0.00 0.00 0.02 0.08 0.15 0.21 0.24 0.24 0.22 0.21 0.24 0.32 0.42 0.48 0.49 0.43 0.33 0.26 0.23 0.27 0.33 0.36 0.34 0.27 0.16 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.49 0.67 0.82 0.94 1.07 1.25 1.47 1.69 1.87 1.98 2.02 2.03 2.05 2.10 2.17 2.22 2.20 2.09 1.94 1.79 1.70 1.67 1.68 1.66 1.58 1.42 1.22 1.03 0.89 0.80 0.74 0.66 65.0 + 67.5 0.55 0.46 0.34 0.22 0.12 0.05 0.02 0.00 0.00 0.00 0.03 0.05 0.07 0.06 0.02 0.00 0.00 0.00 0.09 0.20 0.25 0.23 0.14 0.03 0.00 0.00 0.08 0.19 0.26 0.24 0.14 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.40 0.68 0.94 1.19 1.44 1.70 2.00 2.29 2.56 2.75 2.86 2.91 2.92 2.91 2.88 2.81 2.67 2.46 2.22 2.00 1.83 1.75 1.71 1.67 1.57 1.40 1.18 0.96 0.79 0.69 0.62 0.55 0.46 0.34 0.22 0.12 0.05 0.02 0.00 0.00 0.00 0.03 0.05 0.07 0.06 0.02 0.00 0.00 0.00 0.09 0.20 0.25 0.23 0.14 0.03 0.00 0.00 0.08 0.19 0.26 0.24 0.14 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.40 0.68 0.94 1.19 1.44 1.70 2.00 2.29 2.56 2.75 2.86 2.91 2.92 2.91 2.88 2.81 2.67 2.46 2.22 2.00 1.83 1.75 1.71 1.67 1.57 1.40 1.18 0.96 0.79 0.69 0.62 0.55 67.5 + 70.0 0.49 0.44 0.38 0.31 0.25 0.20 0.17 0.14 0.11 0.10 0.10 0.10 0.08 0.02 0.00 0.00 0.00 0.00 0.00 0.07 0.12 0.07 0.00 0.00 0.00 0.00 0.00 0.04 0.10 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.54 0.92 1.30 1.66 2.00 2.34 2.68 3.03 3.35 3.59 3.73 3.76 3.70 3.58 3.42 3.22 2.95 2.65 2.32 2.01 1.79 1.65 1.59 1.54 1.45 1.29 1.08 0.87 0.70 0.59 0.54 0.49 0.44 0.38 0.31 0.25 0.20 0.17 0.14 0.11 0.10 0.10 0.10 0.08 0.02 0.00 0.00 0.00 0.00 0.00 0.07 0.12 0.07 0.00 0.00 0.00 0.00 0.00 0.04 0.10 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.54 0.92 1.30 1.66 2.00 2.34 2.68 3.03 3.35 3.59 3.73 3.76 3.70 3.58 3.42 3.22 2.95 2.65 2.32 2.01 1.79 1.65 1.59 1.54 1.45 1.29 1.08 0.87 0.70 0.59 0.54 0.49 70.0 + 72.5 0.50 0.48 0.45 0.41 0.38 0.35 0.33 0.31 0.29 0.29 0.30 0.30 0.27 0.19 0.07 0.00 0.00 0.00 0.07 0.17 0.20 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.16 0.48 0.90 1.38 1.86 2.29 2.68 3.04 3.41 3.77 4.10 4.34 4.45 4.40 4.23 3.97 3.67 3.34 2.99 2.61 2.23 1.88 1.62 1.45 1.37 1.33 1.27 1.15 0.99 0.81 0.66 0.57 0.53 0.50 0.48 0.45 0.41 0.38 0.35 0.33 0.31 0.29 0.29 0.30 0.30 0.27 0.19 0.07 0.00 0.00 0.00 0.07 0.17 0.20 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.16 0.48 0.90 1.38 1.86 2.29 2.68 3.04 3.41 3.77 4.10 4.34 4.45 4.40 4.23 3.97 3.67 3.34 2.99 2.61 2.23 1.88 1.62 1.45 1.37 1.33 1.27 1.15 0.99 0.81 0.66 0.57 0.53 0.50 72.5 + 75.0 0.57 0.57 0.55 0.53 0.51 0.48 0.46 0.45 0.46 0.50 0.56 0.61 0.60 0.51 0.37 0.25 0.20 0.26 0.39 0.51 0.53 0.43 0.25 0.06 0.00 0.00 0.04 0.08 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.19 0.31 0.54 0.91 1.40 1.94 2.46 2.91 3.28 3.62 3.95 4.28 4.59 4.79 4.83 4.68 4.38 3.97 3.54 3.14 2.75 2.38 2.01 1.66 1.38 1.20 1.11 1.09 1.08 1.03 0.93 0.81 0.69 0.62 0.59 0.57 0.57 0.55 0.53 0.51 0.48 0.46 0.45 0.46 0.50 0.56 0.61 0.60 0.51 0.37 0.25 0.20 0.26 0.39 0.51 0.53 0.43 0.25 0.06 0.00 0.00 0.04 0.08 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.19 0.31 0.54 0.91 1.40 1.94 2.46 2.91 3.28 3.62 3.95 4.28 4.59 4.79 4.83 4.68 4.38 3.97 3.54 3.14 2.75 2.38 2.01 1.66 1.38 1.20 1.11 1.09 1.08 1.03 0.93 0.81 0.69 0.62 0.59 0.57 75.0 + 77.5 0.66 0.66 0.65 0.63 0.60 0.57 0.53 0.52 0.56 0.65 0.78 0.90 0.93 0.86 0.71 0.58 0.54 0.63 0.81 0.98 1.02 0.92 0.70 0.48 0.35 0.33 0.37 0.37 0.26 0.06 0.00 0.00 0.00 0.00 0.18 0.40 0.55 0.64 0.76 0.98 1.35 1.85 2.39 2.89 3.29 3.59 3.83 4.08 4.36 4.62 4.78 4.76 4.51 4.08 3.57 3.06 2.64 2.30 2.00 1.71 1.41 1.13 0.93 0.84 0.83 0.87 0.89 0.88 0.83 0.76 0.71 0.67 0.66 0.66 0.65 0.63 0.60 0.57 0.53 0.52 0.56 0.65 0.78 0.90 0.93 0.86 0.71 0.58 0.54 0.63 0.81 0.98 1.02 0.92 0.70 0.48 0.35 0.33 0.37 0.37 0.26 0.06 0.00 0.00 0.00 0.00 0.18 0.40 0.55 0.64 0.76 0.98 1.35 1.85 2.39 2.89 3.29 3.59 3.83 4.08 4.36 4.62 4.78 4.76 4.51 4.08 3.57 3.06 2.64 2.30 2.00 1.71 1.41 1.13 0.93 0.84 0.83 0.87 0.89 0.88 0.83 0.76 0.71 0.67 0.66 77.5 + 80.0 0.72 0.71 0.71 0.70 0.65 0.59 0.51 0.48 0.52 0.66 0.86 1.05 1.14 1.09 0.94 0.79 0.76 0.90 1.15 1.39 1.48 1.39 1.15 0.90 0.74 0.71 0.74 0.73 0.61 0.38 0.14 0.01 0.08 0.31 0.63 0.92 1.09 1.17 1.23 1.38 1.67 2.09 2.57 2.99 3.28 3.46 3.57 3.71 3.91 4.13 4.27 4.22 3.92 3.42 2.84 2.32 1.94 1.70 1.54 1.37 1.15 0.89 0.67 0.55 0.54 0.62 0.73 0.81 0.83 0.81 0.77 0.73 0.72 0.71 0.71 0.70 0.65 0.59 0.51 0.48 0.52 0.66 0.86 1.05 1.14 1.09 0.94 0.79 0.76 0.90 1.15 1.39 1.48 1.39 1.15 0.90 0.74 0.71 0.74 0.73 0.61 0.38 0.14 0.01 0.08 0.31 0.63 0.92 1.09 1.17 1.23 1.38 1.67 2.09 2.57 2.99 3.28 3.46 3.57 3.71 3.91 4.13 4.27 4.22 3.92 3.42 2.84 2.32 1.94 1.70 1.54 1.37 1.15 0.89 0.67 0.55 0.54 0.62 0.73 0.81 0.83 0.81 0.77 0.73 0.72 80.0 + 82.5 0.71 0.71 0.72 0.71 0.65 0.54 0.41 0.32 0.34 0.50 0.76 1.01 1.15 1.11 0.95 0.79 0.76 0.93 1.26 1.58 1.74 1.67 1.43 1.15 0.98 0.95 1.00 1.03 0.94 0.72 0.49 0.37 0.46 0.74 1.12 1.45 1.63 1.66 1.62 1.63 1.78 2.07 2.43 2.74 2.91 2.95 2.92 2.94 3.07 3.26 3.41 3.38 3.08 2.57 1.98 1.48 1.18 1.08 1.07 1.04 0.90 0.67 0.42 0.25 0.23 0.35 0.52 0.68 0.78 0.80 0.77 0.73 0.71 0.71 0.72 0.71 0.65 0.54 0.41 0.32 0.34 0.50 0.76 1.01 1.15 1.11 0.95 0.79 0.76 0.93 1.26 1.58 1.74 1.67 1.43 1.15 0.98 0.95 1.00 1.03 0.94 0.72 0.49 0.37 0.46 0.74 1.12 1.45 1.63 1.66 1.62 1.63 1.78 2.07 2.43 2.74 2.91 2.95 2.92 2.94 3.07 3.26 3.41 3.38 3.08 2.57 1.98 1.48 1.18 1.08 1.07 1.04 0.90 0.67 0.42 0.25 0.23 0.35 0.52 0.68 0.78 0.80 0.77 0.73 0.71 82.5 + 85.0 0.65 0.66 0.69 0.68 0.61 0.45 0.25 0.10 0.09 0.24 0.53 0.83 1.00 0.97 0.78 0.58 0.54 0.73 1.10 1.50 1.73 1.71 1.47 1.19 1.00 0.98 1.09 1.18 1.16 1.00 0.80 0.70 0.81 1.13 1.54 1.90 2.08 2.05 1.88 1.73 1.71 1.85 2.08 2.28 2.35 2.27 2.13 2.05 2.11 2.29 2.48 2.50 2.26 1.78 1.22 0.75 0.52 0.54 0.67 0.77 0.70 0.48 0.20 0.00 0.00 0.07 0.30 0.53 0.69 0.74 0.72 0.68 0.65 0.66 0.69 0.68 0.61 0.45 0.25 0.10 0.09 0.24 0.53 0.83 1.00 0.97 0.78 0.58 0.54 0.73 1.10 1.50 1.73 1.71 1.47 1.19 1.00 0.98 1.09 1.18 1.16 1.00 0.80 0.70 0.81 1.13 1.54 1.90 2.08 2.05 1.88 1.73 1.71 1.85 2.08 2.28 2.35 2.27 2.13 2.05 2.11 2.29 2.48 2.50 2.26 1.78 1.22 0.75 0.52 0.54 0.67 0.77 0.70 0.48 0.20 0.00 0.00 0.07 0.30 0.53 0.69 0.74 0.72 0.68 0.65 85.0 + 87.5 0.58 0.60 0.64 0.64 0.56 0.37 0.12 0.00 0.00 0.00 0.28 0.60 0.79 0.76 0.55 0.31 0.23 0.42 0.82 1.27 1.57 1.60 1.40 1.11 0.92 0.92 1.06 1.23 1.30 1.21 1.06 0.98 1.09 1.41 1.84 2.21 2.37 2.28 2.01 1.71 1.53 1.54 1.67 1.80 1.82 1.69 1.48 1.33 1.35 1.53 1.76 1.86 1.70 1.27 0.74 0.31 0.12 0.21 0.43 0.61 0.60 0.39 0.08 0.00 0.00 0.00 0.13 0.40 0.59 0.67 0.66 0.61 0.58 0.60 0.64 0.64 0.56 0.37 0.12 0.00 0.00 0.00 0.28 0.60 0.79 0.76 0.55 0.31 0.23 0.42 0.82 1.27 1.57 1.60 1.40 1.11 0.92 0.92 1.06 1.23 1.30 1.21 1.06 0.98 1.09 1.41 1.84 2.21 2.37 2.28 2.01 1.71 1.53 1.54 1.67 1.80 1.82 1.69 1.48 1.33 1.35 1.53 1.76 1.86 1.70 1.27 0.74 0.31 0.12 0.21 0.43 0.61 0.60 0.39 0.08 0.00 0.00 0.00 0.13 0.40 0.59 0.67 0.66 0.61 0.58 87.5 + 90.0 0.55 0.58 0.62 0.63 0.55 0.34 0.07 0.00 0.00 0.00 0.11 0.43 0.63 0.61 0.39 0.14 0.04 0.22 0.64 1.13 1.49 1.58 1.42 1.15 0.97 0.96 1.13 1.35 1.47 1.45 1.33 1.24 1.32 1.60 1.99 2.33 2.47 2.33 1.99 1.60 1.32 1.24 1.33 1.45 1.47 1.35 1.13 0.96 0.97 1.15 1.42 1.58 1.49 1.13 0.64 0.22 0.04 0.14 0.39 0.61 0.63 0.43 0.11 0.00 0.00 0.00 0.07 0.34 0.55 0.63 0.62 0.58 0.55 0.58 0.62 0.63 0.55 0.34 0.07 0.00 0.00 0.00 0.11 0.43 0.63 0.61 0.39 0.14 0.04 0.22 0.64 1.13 1.49 1.58 1.42 1.15 0.97 0.96 1.13 1.35 1.47 1.45 1.33 1.24 1.32 1.60 1.99 2.33 2.47 2.33 1.99 1.60 1.32 1.24 1.33 1.45 1.47 1.35 1.13 0.96 0.97 1.15 1.42 1.58 1.49 1.13 0.64 0.22 0.04 0.14 0.39 0.61 0.63 0.43 0.11 0.00 0.00 0.00 0.07 0.34 0.55 0.63 0.62 0.58 0.55 90.0 + + 62.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 4.99 ) PHI2 = 63. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.0 + 2.5 0.36 0.39 0.49 0.65 0.85 1.06 1.28 1.53 1.78 2.03 2.21 2.29 2.25 2.09 1.86 1.61 1.37 1.15 0.93 0.72 0.55 0.43 0.38 0.37 0.34 0.23 0.04 0.00 0.00 0.00 0.00 0.00 0.05 0.25 0.37 0.40 0.41 0.45 0.55 0.72 0.92 1.13 1.36 1.59 1.83 2.05 2.20 2.24 2.17 1.99 1.76 1.51 1.27 1.05 0.84 0.65 0.50 0.41 0.39 0.40 0.38 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.26 0.35 0.36 0.36 0.39 0.49 0.65 0.85 1.06 1.28 1.53 1.78 2.03 2.21 2.29 2.25 2.09 1.86 1.61 1.37 1.15 0.93 0.72 0.55 0.43 0.38 0.37 0.34 0.23 0.04 0.00 0.00 0.00 0.00 0.00 0.05 0.25 0.37 0.40 0.41 0.45 0.55 0.72 0.92 1.13 1.36 1.59 1.83 2.05 2.20 2.24 2.17 1.99 1.76 1.51 1.27 1.05 0.84 0.65 0.50 0.41 0.39 0.40 0.38 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.26 0.35 0.36 0.36 2.5 + 5.0 0.29 0.29 0.36 0.50 0.69 0.91 1.15 1.43 1.74 2.05 2.30 2.44 2.42 2.28 2.04 1.77 1.49 1.24 1.01 0.79 0.61 0.48 0.42 0.40 0.38 0.31 0.16 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.46 0.50 0.50 0.52 0.60 0.74 0.94 1.17 1.42 1.68 1.92 2.13 2.24 2.25 2.13 1.92 1.65 1.38 1.12 0.88 0.67 0.51 0.40 0.38 0.42 0.48 0.50 0.43 0.27 0.06 0.00 0.00 0.00 0.09 0.26 0.37 0.39 0.34 0.29 0.29 0.36 0.50 0.69 0.91 1.15 1.43 1.74 2.05 2.30 2.44 2.42 2.28 2.04 1.77 1.49 1.24 1.01 0.79 0.61 0.48 0.42 0.40 0.38 0.31 0.16 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.46 0.50 0.50 0.52 0.60 0.74 0.94 1.17 1.42 1.68 1.92 2.13 2.24 2.25 2.13 1.92 1.65 1.38 1.12 0.88 0.67 0.51 0.40 0.38 0.42 0.48 0.50 0.43 0.27 0.06 0.00 0.00 0.00 0.09 0.26 0.37 0.39 0.34 0.29 5.0 + 7.5 0.24 0.20 0.24 0.35 0.52 0.73 0.98 1.29 1.66 2.04 2.37 2.58 2.63 2.51 2.28 1.99 1.70 1.44 1.20 0.99 0.81 0.67 0.60 0.58 0.58 0.55 0.45 0.29 0.13 0.03 0.04 0.16 0.35 0.53 0.65 0.69 0.67 0.66 0.69 0.79 0.97 1.20 1.48 1.76 2.01 2.19 2.26 2.21 2.04 1.80 1.52 1.23 0.95 0.70 0.50 0.37 0.33 0.38 0.49 0.60 0.65 0.60 0.47 0.30 0.19 0.16 0.24 0.37 0.47 0.50 0.45 0.34 0.24 0.20 0.24 0.35 0.52 0.73 0.98 1.29 1.66 2.04 2.37 2.58 2.63 2.51 2.28 1.99 1.70 1.44 1.20 0.99 0.81 0.67 0.60 0.58 0.58 0.55 0.45 0.29 0.13 0.03 0.04 0.16 0.35 0.53 0.65 0.69 0.67 0.66 0.69 0.79 0.97 1.20 1.48 1.76 2.01 2.19 2.26 2.21 2.04 1.80 1.52 1.23 0.95 0.70 0.50 0.37 0.33 0.38 0.49 0.60 0.65 0.60 0.47 0.30 0.19 0.16 0.24 0.37 0.47 0.50 0.45 0.34 0.24 7.5 + 10.0 0.25 0.19 0.20 0.27 0.40 0.57 0.81 1.12 1.52 1.96 2.36 2.65 2.76 2.70 2.50 2.24 1.96 1.73 1.52 1.34 1.18 1.06 0.98 0.96 0.98 0.98 0.92 0.80 0.63 0.50 0.46 0.52 0.67 0.83 0.93 0.96 0.91 0.84 0.80 0.85 0.99 1.23 1.51 1.80 2.04 2.17 2.19 2.09 1.90 1.65 1.37 1.10 0.83 0.59 0.41 0.32 0.34 0.45 0.60 0.74 0.79 0.73 0.61 0.48 0.40 0.42 0.51 0.61 0.66 0.62 0.51 0.37 0.25 0.19 0.20 0.27 0.40 0.57 0.81 1.12 1.52 1.96 2.36 2.65 2.76 2.70 2.50 2.24 1.96 1.73 1.52 1.34 1.18 1.06 0.98 0.96 0.98 0.98 0.92 0.80 0.63 0.50 0.46 0.52 0.67 0.83 0.93 0.96 0.91 0.84 0.80 0.85 0.99 1.23 1.51 1.80 2.04 2.17 2.19 2.09 1.90 1.65 1.37 1.10 0.83 0.59 0.41 0.32 0.34 0.45 0.60 0.74 0.79 0.73 0.61 0.48 0.40 0.42 0.51 0.61 0.66 0.62 0.51 0.37 0.25 10.0 + 12.5 0.30 0.24 0.23 0.27 0.34 0.46 0.65 0.93 1.32 1.77 2.21 2.56 2.75 2.76 2.63 2.43 2.23 2.05 1.91 1.78 1.65 1.54 1.46 1.44 1.47 1.50 1.47 1.36 1.19 1.01 0.91 0.91 1.01 1.15 1.24 1.24 1.15 1.02 0.92 0.90 1.01 1.23 1.51 1.79 2.00 2.09 2.06 1.92 1.71 1.48 1.25 1.01 0.78 0.57 0.42 0.37 0.42 0.57 0.73 0.85 0.86 0.77 0.64 0.53 0.50 0.56 0.67 0.75 0.77 0.69 0.56 0.42 0.30 0.24 0.23 0.27 0.34 0.46 0.65 0.93 1.32 1.77 2.21 2.56 2.75 2.76 2.63 2.43 2.23 2.05 1.91 1.78 1.65 1.54 1.46 1.44 1.47 1.50 1.47 1.36 1.19 1.01 0.91 0.91 1.01 1.15 1.24 1.24 1.15 1.02 0.92 0.90 1.01 1.23 1.51 1.79 2.00 2.09 2.06 1.92 1.71 1.48 1.25 1.01 0.78 0.57 0.42 0.37 0.42 0.57 0.73 0.85 0.86 0.77 0.64 0.53 0.50 0.56 0.67 0.75 0.77 0.69 0.56 0.42 0.30 12.5 + 15.0 0.36 0.31 0.29 0.29 0.31 0.36 0.49 0.72 1.07 1.49 1.93 2.31 2.56 2.66 2.62 2.52 2.40 2.31 2.23 2.14 2.04 1.93 1.85 1.83 1.86 1.90 1.90 1.80 1.61 1.40 1.25 1.21 1.27 1.38 1.46 1.44 1.31 1.14 0.98 0.93 1.01 1.22 1.49 1.75 1.93 1.97 1.90 1.73 1.53 1.33 1.15 0.97 0.78 0.61 0.49 0.46 0.54 0.69 0.83 0.89 0.84 0.71 0.56 0.48 0.50 0.60 0.73 0.81 0.80 0.71 0.57 0.45 0.36 0.31 0.29 0.29 0.31 0.36 0.49 0.72 1.07 1.49 1.93 2.31 2.56 2.66 2.62 2.52 2.40 2.31 2.23 2.14 2.04 1.93 1.85 1.83 1.86 1.90 1.90 1.80 1.61 1.40 1.25 1.21 1.27 1.38 1.46 1.44 1.31 1.14 0.98 0.93 1.01 1.22 1.49 1.75 1.93 1.97 1.90 1.73 1.53 1.33 1.15 0.97 0.78 0.61 0.49 0.46 0.54 0.69 0.83 0.89 0.84 0.71 0.56 0.48 0.50 0.60 0.73 0.81 0.80 0.71 0.57 0.45 0.36 15.0 + 17.5 0.36 0.32 0.30 0.27 0.23 0.24 0.31 0.49 0.77 1.15 1.56 1.93 2.22 2.39 2.45 2.46 2.44 2.42 2.39 2.32 2.22 2.09 2.00 1.97 2.01 2.07 2.08 1.98 1.80 1.57 1.40 1.33 1.37 1.46 1.51 1.47 1.32 1.13 0.96 0.91 1.00 1.21 1.49 1.73 1.88 1.88 1.77 1.59 1.40 1.23 1.08 0.94 0.79 0.64 0.55 0.54 0.62 0.75 0.85 0.85 0.74 0.57 0.43 0.38 0.46 0.61 0.75 0.81 0.77 0.66 0.53 0.42 0.36 0.32 0.30 0.27 0.23 0.24 0.31 0.49 0.77 1.15 1.56 1.93 2.22 2.39 2.45 2.46 2.44 2.42 2.39 2.32 2.22 2.09 2.00 1.97 2.01 2.07 2.08 1.98 1.80 1.57 1.40 1.33 1.37 1.46 1.51 1.47 1.32 1.13 0.96 0.91 1.00 1.21 1.49 1.73 1.88 1.88 1.77 1.59 1.40 1.23 1.08 0.94 0.79 0.64 0.55 0.54 0.62 0.75 0.85 0.85 0.74 0.57 0.43 0.38 0.46 0.61 0.75 0.81 0.77 0.66 0.53 0.42 0.36 17.5 + 20.0 0.28 0.25 0.21 0.15 0.09 0.06 0.10 0.24 0.48 0.79 1.14 1.48 1.78 2.00 2.16 2.27 2.35 2.39 2.38 2.31 2.19 2.04 1.94 1.91 1.97 2.04 2.06 1.97 1.79 1.57 1.40 1.32 1.34 1.39 1.41 1.34 1.19 1.01 0.88 0.86 0.98 1.22 1.50 1.73 1.85 1.84 1.71 1.52 1.34 1.18 1.04 0.91 0.77 0.63 0.55 0.55 0.63 0.74 0.80 0.76 0.61 0.43 0.30 0.31 0.44 0.63 0.78 0.81 0.73 0.58 0.43 0.33 0.28 0.25 0.21 0.15 0.09 0.06 0.10 0.24 0.48 0.79 1.14 1.48 1.78 2.00 2.16 2.27 2.35 2.39 2.38 2.31 2.19 2.04 1.94 1.91 1.97 2.04 2.06 1.97 1.79 1.57 1.40 1.32 1.34 1.39 1.41 1.34 1.19 1.01 0.88 0.86 0.98 1.22 1.50 1.73 1.85 1.84 1.71 1.52 1.34 1.18 1.04 0.91 0.77 0.63 0.55 0.55 0.63 0.74 0.80 0.76 0.61 0.43 0.30 0.31 0.44 0.63 0.78 0.81 0.73 0.58 0.43 0.33 0.28 20.0 + 22.5 0.15 0.11 0.05 0.00 0.00 0.00 0.00 0.01 0.22 0.47 0.75 1.04 1.31 1.58 1.81 2.02 2.19 2.29 2.31 2.24 2.11 1.97 1.89 1.89 1.96 2.04 2.06 1.98 1.79 1.58 1.40 1.30 1.28 1.28 1.25 1.15 1.00 0.85 0.77 0.81 0.98 1.23 1.50 1.72 1.82 1.80 1.67 1.50 1.31 1.16 1.01 0.87 0.72 0.58 0.50 0.51 0.59 0.69 0.72 0.65 0.48 0.31 0.24 0.30 0.48 0.69 0.82 0.81 0.67 0.48 0.31 0.20 0.15 0.11 0.05 0.00 0.00 0.00 0.00 0.01 0.22 0.47 0.75 1.04 1.31 1.58 1.81 2.02 2.19 2.29 2.31 2.24 2.11 1.97 1.89 1.89 1.96 2.04 2.06 1.98 1.79 1.58 1.40 1.30 1.28 1.28 1.25 1.15 1.00 0.85 0.77 0.81 0.98 1.23 1.50 1.72 1.82 1.80 1.67 1.50 1.31 1.16 1.01 0.87 0.72 0.58 0.50 0.51 0.59 0.69 0.72 0.65 0.48 0.31 0.24 0.30 0.48 0.69 0.82 0.81 0.67 0.48 0.31 0.20 0.15 22.5 + 25.0 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.22 0.43 0.66 0.91 1.19 1.50 1.81 2.07 2.25 2.32 2.30 2.21 2.13 2.11 2.16 2.26 2.34 2.34 2.22 2.02 1.78 1.57 1.43 1.34 1.26 1.15 1.01 0.85 0.74 0.72 0.80 0.98 1.21 1.45 1.63 1.71 1.69 1.58 1.43 1.27 1.12 0.97 0.82 0.66 0.53 0.46 0.47 0.56 0.64 0.66 0.57 0.40 0.26 0.22 0.34 0.55 0.76 0.86 0.79 0.61 0.38 0.20 0.09 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.22 0.43 0.66 0.91 1.19 1.50 1.81 2.07 2.25 2.32 2.30 2.21 2.13 2.11 2.16 2.26 2.34 2.34 2.22 2.02 1.78 1.57 1.43 1.34 1.26 1.15 1.01 0.85 0.74 0.72 0.80 0.98 1.21 1.45 1.63 1.71 1.69 1.58 1.43 1.27 1.12 0.97 0.82 0.66 0.53 0.46 0.47 0.56 0.64 0.66 0.57 0.40 0.26 0.22 0.34 0.55 0.76 0.86 0.79 0.61 0.38 0.20 0.09 0.04 25.0 + 27.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.23 0.40 0.62 0.92 1.29 1.69 2.06 2.35 2.52 2.59 2.61 2.65 2.73 2.86 2.99 3.04 2.98 2.80 2.53 2.23 1.97 1.75 1.56 1.38 1.18 0.99 0.84 0.75 0.75 0.84 0.98 1.15 1.30 1.41 1.46 1.44 1.37 1.26 1.14 1.02 0.89 0.76 0.61 0.50 0.45 0.48 0.56 0.63 0.63 0.53 0.38 0.25 0.25 0.38 0.60 0.78 0.84 0.73 0.51 0.28 0.11 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.23 0.40 0.62 0.92 1.29 1.69 2.06 2.35 2.52 2.59 2.61 2.65 2.73 2.86 2.99 3.04 2.98 2.80 2.53 2.23 1.97 1.75 1.56 1.38 1.18 0.99 0.84 0.75 0.75 0.84 0.98 1.15 1.30 1.41 1.46 1.44 1.37 1.26 1.14 1.02 0.89 0.76 0.61 0.50 0.45 0.48 0.56 0.63 0.63 0.53 0.38 0.25 0.25 0.38 0.60 0.78 0.84 0.73 0.51 0.28 0.11 0.03 0.00 27.5 + 30.0 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.15 0.28 0.47 0.78 1.21 1.69 2.17 2.56 2.85 3.05 3.22 3.40 3.61 3.81 3.95 3.96 3.81 3.53 3.17 2.80 2.47 2.16 1.87 1.59 1.32 1.09 0.94 0.87 0.87 0.92 0.98 1.04 1.07 1.09 1.10 1.08 1.04 0.98 0.91 0.84 0.75 0.66 0.56 0.49 0.47 0.52 0.60 0.65 0.63 0.52 0.37 0.27 0.27 0.41 0.60 0.74 0.75 0.61 0.39 0.18 0.06 0.03 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.15 0.28 0.47 0.78 1.21 1.69 2.17 2.56 2.85 3.05 3.22 3.40 3.61 3.81 3.95 3.96 3.81 3.53 3.17 2.80 2.47 2.16 1.87 1.59 1.32 1.09 0.94 0.87 0.87 0.92 0.98 1.04 1.07 1.09 1.10 1.08 1.04 0.98 0.91 0.84 0.75 0.66 0.56 0.49 0.47 0.52 0.60 0.65 0.63 0.52 0.37 0.27 0.27 0.41 0.60 0.74 0.75 0.61 0.39 0.18 0.06 0.03 0.02 30.0 + 32.5 0.10 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.20 0.30 0.47 0.79 1.24 1.77 2.31 2.78 3.16 3.48 3.78 4.09 4.39 4.64 4.75 4.69 4.44 4.06 3.63 3.21 2.82 2.45 2.10 1.75 1.44 1.21 1.07 1.02 1.02 1.01 0.97 0.89 0.80 0.74 0.69 0.68 0.66 0.64 0.62 0.59 0.56 0.52 0.49 0.48 0.51 0.57 0.64 0.67 0.62 0.50 0.36 0.27 0.28 0.40 0.55 0.64 0.60 0.44 0.23 0.08 0.02 0.05 0.10 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.20 0.30 0.47 0.79 1.24 1.77 2.31 2.78 3.16 3.48 3.78 4.09 4.39 4.64 4.75 4.69 4.44 4.06 3.63 3.21 2.82 2.45 2.10 1.75 1.44 1.21 1.07 1.02 1.02 1.01 0.97 0.89 0.80 0.74 0.69 0.68 0.66 0.64 0.62 0.59 0.56 0.52 0.49 0.48 0.51 0.57 0.64 0.67 0.62 0.50 0.36 0.27 0.28 0.40 0.55 0.64 0.60 0.44 0.23 0.08 0.02 0.05 0.10 32.5 + 35.0 0.16 0.16 0.05 0.00 0.00 0.00 0.00 0.00 0.11 0.25 0.33 0.41 0.58 0.88 1.31 1.84 2.37 2.85 3.25 3.62 3.97 4.34 4.68 4.93 4.99 4.85 4.52 4.08 3.62 3.20 2.81 2.45 2.08 1.73 1.43 1.23 1.14 1.12 1.12 1.06 0.93 0.75 0.57 0.44 0.37 0.36 0.36 0.37 0.36 0.36 0.36 0.37 0.40 0.45 0.52 0.59 0.64 0.64 0.56 0.44 0.31 0.23 0.26 0.36 0.48 0.51 0.43 0.26 0.08 0.00 0.00 0.07 0.16 0.16 0.05 0.00 0.00 0.00 0.00 0.00 0.11 0.25 0.33 0.41 0.58 0.88 1.31 1.84 2.37 2.85 3.25 3.62 3.97 4.34 4.68 4.93 4.99 4.85 4.52 4.08 3.62 3.20 2.81 2.45 2.08 1.73 1.43 1.23 1.14 1.12 1.12 1.06 0.93 0.75 0.57 0.44 0.37 0.36 0.36 0.37 0.36 0.36 0.36 0.37 0.40 0.45 0.52 0.59 0.64 0.64 0.56 0.44 0.31 0.23 0.26 0.36 0.48 0.51 0.43 0.26 0.08 0.00 0.00 0.07 0.16 35.0 + 37.5 0.17 0.19 0.11 0.00 0.00 0.00 0.00 0.10 0.29 0.42 0.49 0.56 0.70 0.96 1.34 1.80 2.25 2.65 2.99 3.30 3.63 3.98 4.29 4.49 4.49 4.28 3.92 3.48 3.06 2.71 2.40 2.10 1.80 1.50 1.25 1.11 1.08 1.11 1.12 1.05 0.88 0.65 0.43 0.28 0.22 0.21 0.23 0.23 0.22 0.20 0.21 0.24 0.31 0.41 0.50 0.58 0.60 0.56 0.45 0.32 0.21 0.17 0.22 0.33 0.41 0.41 0.29 0.11 0.00 0.00 0.00 0.05 0.17 0.19 0.11 0.00 0.00 0.00 0.00 0.10 0.29 0.42 0.49 0.56 0.70 0.96 1.34 1.80 2.25 2.65 2.99 3.30 3.63 3.98 4.29 4.49 4.49 4.28 3.92 3.48 3.06 2.71 2.40 2.10 1.80 1.50 1.25 1.11 1.08 1.11 1.12 1.05 0.88 0.65 0.43 0.28 0.22 0.21 0.23 0.23 0.22 0.20 0.21 0.24 0.31 0.41 0.50 0.58 0.60 0.56 0.45 0.32 0.21 0.17 0.22 0.33 0.41 0.41 0.29 0.11 0.00 0.00 0.00 0.05 0.17 37.5 + 40.0 0.14 0.18 0.12 0.02 0.00 0.00 0.10 0.28 0.46 0.57 0.62 0.66 0.76 0.97 1.27 1.60 1.92 2.17 2.38 2.57 2.81 3.08 3.32 3.44 3.39 3.16 2.80 2.42 2.11 1.89 1.72 1.55 1.35 1.14 0.96 0.88 0.90 0.98 1.02 0.97 0.82 0.60 0.40 0.27 0.23 0.25 0.27 0.26 0.22 0.17 0.15 0.18 0.26 0.38 0.49 0.56 0.55 0.46 0.32 0.17 0.08 0.08 0.17 0.29 0.36 0.33 0.19 0.00 0.00 0.00 0.00 0.02 0.14 0.18 0.12 0.02 0.00 0.00 0.10 0.28 0.46 0.57 0.62 0.66 0.76 0.97 1.27 1.60 1.92 2.17 2.38 2.57 2.81 3.08 3.32 3.44 3.39 3.16 2.80 2.42 2.11 1.89 1.72 1.55 1.35 1.14 0.96 0.88 0.90 0.98 1.02 0.97 0.82 0.60 0.40 0.27 0.23 0.25 0.27 0.26 0.22 0.17 0.15 0.18 0.26 0.38 0.49 0.56 0.55 0.46 0.32 0.17 0.08 0.08 0.17 0.29 0.36 0.33 0.19 0.00 0.00 0.00 0.00 0.02 0.14 40.0 + 42.5 0.13 0.18 0.14 0.08 0.06 0.12 0.27 0.44 0.58 0.65 0.66 0.66 0.72 0.85 1.06 1.27 1.43 1.52 1.57 1.63 1.75 1.93 2.09 2.17 2.08 1.85 1.55 1.27 1.09 1.03 1.03 1.01 0.93 0.80 0.68 0.63 0.68 0.78 0.86 0.85 0.75 0.59 0.43 0.35 0.34 0.38 0.41 0.40 0.34 0.25 0.18 0.18 0.26 0.38 0.51 0.56 0.52 0.38 0.19 0.02 0.00 0.00 0.10 0.24 0.31 0.27 0.12 0.00 0.00 0.00 0.00 0.01 0.13 0.18 0.14 0.08 0.06 0.12 0.27 0.44 0.58 0.65 0.66 0.66 0.72 0.85 1.06 1.27 1.43 1.52 1.57 1.63 1.75 1.93 2.09 2.17 2.08 1.85 1.55 1.27 1.09 1.03 1.03 1.01 0.93 0.80 0.68 0.63 0.68 0.78 0.86 0.85 0.75 0.59 0.43 0.35 0.34 0.38 0.41 0.40 0.34 0.25 0.18 0.18 0.26 0.38 0.51 0.56 0.52 0.38 0.19 0.02 0.00 0.00 0.10 0.24 0.31 0.27 0.12 0.00 0.00 0.00 0.00 0.01 0.13 42.5 + 45.0 0.18 0.23 0.21 0.17 0.19 0.27 0.41 0.56 0.64 0.65 0.60 0.56 0.57 0.64 0.76 0.86 0.89 0.85 0.77 0.73 0.77 0.89 1.02 1.07 0.99 0.79 0.54 0.36 0.31 0.40 0.54 0.65 0.67 0.60 0.50 0.45 0.48 0.57 0.68 0.73 0.70 0.60 0.50 0.44 0.45 0.51 0.56 0.56 0.49 0.38 0.28 0.24 0.29 0.41 0.54 0.59 0.53 0.35 0.11 0.00 0.00 0.00 0.04 0.20 0.28 0.23 0.08 0.00 0.00 0.00 0.00 0.07 0.18 0.23 0.21 0.17 0.19 0.27 0.41 0.56 0.64 0.65 0.60 0.56 0.57 0.64 0.76 0.86 0.89 0.85 0.77 0.73 0.77 0.89 1.02 1.07 0.99 0.79 0.54 0.36 0.31 0.40 0.54 0.65 0.67 0.60 0.50 0.45 0.48 0.57 0.68 0.73 0.70 0.60 0.50 0.44 0.45 0.51 0.56 0.56 0.49 0.38 0.28 0.24 0.29 0.41 0.54 0.59 0.53 0.35 0.11 0.00 0.00 0.00 0.04 0.20 0.28 0.23 0.08 0.00 0.00 0.00 0.00 0.07 0.18 45.0 + 47.5 0.32 0.34 0.31 0.28 0.30 0.39 0.50 0.60 0.63 0.58 0.48 0.40 0.38 0.41 0.47 0.50 0.44 0.32 0.18 0.10 0.12 0.22 0.35 0.41 0.35 0.18 0.00 0.00 0.00 0.08 0.32 0.52 0.60 0.56 0.45 0.36 0.34 0.42 0.54 0.63 0.67 0.63 0.55 0.50 0.50 0.56 0.62 0.65 0.60 0.49 0.37 0.30 0.33 0.43 0.55 0.61 0.54 0.35 0.09 0.00 0.00 0.00 0.02 0.19 0.27 0.23 0.10 0.00 0.00 0.00 0.07 0.22 0.32 0.34 0.31 0.28 0.30 0.39 0.50 0.60 0.63 0.58 0.48 0.40 0.38 0.41 0.47 0.50 0.44 0.32 0.18 0.10 0.12 0.22 0.35 0.41 0.35 0.18 0.00 0.00 0.00 0.08 0.32 0.52 0.60 0.56 0.45 0.36 0.34 0.42 0.54 0.63 0.67 0.63 0.55 0.50 0.50 0.56 0.62 0.65 0.60 0.49 0.37 0.30 0.33 0.43 0.55 0.61 0.54 0.35 0.09 0.00 0.00 0.00 0.02 0.19 0.27 0.23 0.10 0.00 0.00 0.00 0.07 0.22 0.32 47.5 + 50.0 0.50 0.48 0.42 0.37 0.36 0.42 0.51 0.56 0.55 0.47 0.36 0.27 0.24 0.26 0.28 0.26 0.17 0.02 0.00 0.00 0.00 0.00 0.13 0.21 0.17 0.03 0.00 0.00 0.00 0.04 0.30 0.53 0.63 0.60 0.47 0.34 0.28 0.32 0.45 0.59 0.67 0.67 0.60 0.53 0.50 0.53 0.61 0.67 0.66 0.57 0.44 0.34 0.32 0.40 0.52 0.60 0.56 0.38 0.14 0.00 0.00 0.00 0.10 0.26 0.34 0.31 0.20 0.09 0.07 0.15 0.29 0.43 0.50 0.48 0.42 0.37 0.36 0.42 0.51 0.56 0.55 0.47 0.36 0.27 0.24 0.26 0.28 0.26 0.17 0.02 0.00 0.00 0.00 0.00 0.13 0.21 0.17 0.03 0.00 0.00 0.00 0.04 0.30 0.53 0.63 0.60 0.47 0.34 0.28 0.32 0.45 0.59 0.67 0.67 0.60 0.53 0.50 0.53 0.61 0.67 0.66 0.57 0.44 0.34 0.32 0.40 0.52 0.60 0.56 0.38 0.14 0.00 0.00 0.00 0.10 0.26 0.34 0.31 0.20 0.09 0.07 0.15 0.29 0.43 0.50 50.0 + 52.5 0.66 0.59 0.48 0.38 0.34 0.36 0.42 0.45 0.43 0.36 0.28 0.22 0.21 0.23 0.24 0.20 0.10 0.00 0.00 0.00 0.00 0.07 0.23 0.31 0.27 0.14 0.00 0.00 0.00 0.11 0.34 0.55 0.65 0.61 0.47 0.32 0.24 0.27 0.41 0.58 0.70 0.72 0.65 0.55 0.48 0.49 0.57 0.66 0.69 0.62 0.49 0.35 0.30 0.36 0.48 0.58 0.59 0.48 0.30 0.14 0.09 0.17 0.33 0.48 0.55 0.51 0.41 0.33 0.32 0.41 0.54 0.64 0.66 0.59 0.48 0.38 0.34 0.36 0.42 0.45 0.43 0.36 0.28 0.22 0.21 0.23 0.24 0.20 0.10 0.00 0.00 0.00 0.00 0.07 0.23 0.31 0.27 0.14 0.00 0.00 0.00 0.11 0.34 0.55 0.65 0.61 0.47 0.32 0.24 0.27 0.41 0.58 0.70 0.72 0.65 0.55 0.48 0.49 0.57 0.66 0.69 0.62 0.49 0.35 0.30 0.36 0.48 0.58 0.59 0.48 0.30 0.14 0.09 0.17 0.33 0.48 0.55 0.51 0.41 0.33 0.32 0.41 0.54 0.64 0.66 52.5 + 55.0 0.75 0.62 0.44 0.30 0.22 0.22 0.25 0.29 0.29 0.27 0.24 0.24 0.27 0.31 0.32 0.27 0.17 0.06 0.00 0.02 0.13 0.29 0.43 0.48 0.43 0.29 0.14 0.05 0.06 0.18 0.35 0.50 0.57 0.53 0.41 0.27 0.20 0.24 0.39 0.58 0.73 0.77 0.70 0.58 0.49 0.49 0.58 0.69 0.74 0.70 0.57 0.42 0.34 0.37 0.50 0.64 0.72 0.69 0.60 0.51 0.49 0.58 0.73 0.86 0.90 0.85 0.74 0.65 0.63 0.68 0.76 0.80 0.75 0.62 0.44 0.30 0.22 0.22 0.25 0.29 0.29 0.27 0.24 0.24 0.27 0.31 0.32 0.27 0.17 0.06 0.00 0.02 0.13 0.29 0.43 0.48 0.43 0.29 0.14 0.05 0.06 0.18 0.35 0.50 0.57 0.53 0.41 0.27 0.20 0.24 0.39 0.58 0.73 0.77 0.70 0.58 0.49 0.49 0.58 0.69 0.74 0.70 0.57 0.42 0.34 0.37 0.50 0.64 0.72 0.69 0.60 0.51 0.49 0.58 0.73 0.86 0.90 0.85 0.74 0.65 0.63 0.68 0.76 0.80 0.75 55.0 + 57.5 0.74 0.55 0.33 0.15 0.05 0.03 0.06 0.11 0.15 0.18 0.23 0.30 0.37 0.42 0.43 0.37 0.28 0.20 0.17 0.23 0.35 0.48 0.56 0.57 0.49 0.36 0.23 0.15 0.14 0.20 0.29 0.38 0.41 0.37 0.28 0.18 0.14 0.20 0.36 0.56 0.72 0.78 0.74 0.64 0.56 0.57 0.66 0.79 0.88 0.86 0.75 0.61 0.53 0.56 0.70 0.87 1.02 1.07 1.06 1.04 1.05 1.14 1.26 1.35 1.35 1.26 1.12 0.99 0.91 0.90 0.90 0.86 0.74 0.55 0.33 0.15 0.05 0.03 0.06 0.11 0.15 0.18 0.23 0.30 0.37 0.42 0.43 0.37 0.28 0.20 0.17 0.23 0.35 0.48 0.56 0.57 0.49 0.36 0.23 0.15 0.14 0.20 0.29 0.38 0.41 0.37 0.28 0.18 0.14 0.20 0.36 0.56 0.72 0.78 0.74 0.64 0.56 0.57 0.66 0.79 0.88 0.86 0.75 0.61 0.53 0.56 0.70 0.87 1.02 1.07 1.06 1.04 1.05 1.14 1.26 1.35 1.35 1.26 1.12 0.99 0.91 0.90 0.90 0.86 0.74 57.5 + 60.0 0.65 0.42 0.19 0.01 0.00 0.00 0.00 0.00 0.02 0.09 0.19 0.30 0.40 0.46 0.46 0.39 0.31 0.26 0.27 0.35 0.45 0.53 0.56 0.51 0.41 0.31 0.23 0.18 0.17 0.19 0.21 0.22 0.21 0.17 0.12 0.07 0.06 0.14 0.29 0.47 0.63 0.73 0.73 0.69 0.67 0.72 0.84 1.00 1.12 1.15 1.10 1.00 0.95 1.00 1.15 1.35 1.53 1.63 1.66 1.66 1.68 1.73 1.80 1.83 1.78 1.65 1.46 1.27 1.12 1.02 0.94 0.82 0.65 0.42 0.19 0.01 0.00 0.00 0.00 0.00 0.02 0.09 0.19 0.30 0.40 0.46 0.46 0.39 0.31 0.26 0.27 0.35 0.45 0.53 0.56 0.51 0.41 0.31 0.23 0.18 0.17 0.19 0.21 0.22 0.21 0.17 0.12 0.07 0.06 0.14 0.29 0.47 0.63 0.73 0.73 0.69 0.67 0.72 0.84 1.00 1.12 1.15 1.10 1.00 0.95 1.00 1.15 1.35 1.53 1.63 1.66 1.66 1.68 1.73 1.80 1.83 1.78 1.65 1.46 1.27 1.12 1.02 0.94 0.82 0.65 60.0 + 62.5 0.54 0.32 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.22 0.32 0.37 0.34 0.27 0.20 0.18 0.23 0.32 0.41 0.45 0.41 0.32 0.23 0.17 0.15 0.17 0.18 0.17 0.14 0.09 0.04 0.00 0.00 0.00 0.00 0.04 0.16 0.32 0.48 0.61 0.69 0.74 0.80 0.92 1.10 1.30 1.48 1.58 1.61 1.60 1.62 1.70 1.86 2.04 2.20 2.29 2.30 2.27 2.24 2.23 2.22 2.19 2.08 1.90 1.67 1.43 1.22 1.05 0.90 0.73 0.54 0.32 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.22 0.32 0.37 0.34 0.27 0.20 0.18 0.23 0.32 0.41 0.45 0.41 0.32 0.23 0.17 0.15 0.17 0.18 0.17 0.14 0.09 0.04 0.00 0.00 0.00 0.00 0.04 0.16 0.32 0.48 0.61 0.69 0.74 0.80 0.92 1.10 1.30 1.48 1.58 1.61 1.60 1.62 1.70 1.86 2.04 2.20 2.29 2.30 2.27 2.24 2.23 2.22 2.19 2.08 1.90 1.67 1.43 1.22 1.05 0.90 0.73 0.54 62.5 + 65.0 0.47 0.28 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.15 0.17 0.12 0.04 0.00 0.00 0.08 0.19 0.26 0.26 0.18 0.07 0.00 0.00 0.04 0.11 0.16 0.14 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.31 0.49 0.66 0.82 0.99 1.19 1.43 1.70 1.94 2.14 2.27 2.36 2.44 2.55 2.69 2.82 2.90 2.91 2.84 2.72 2.60 2.50 2.42 2.32 2.18 1.97 1.72 1.45 1.21 1.00 0.82 0.65 0.47 0.28 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.15 0.17 0.12 0.04 0.00 0.00 0.08 0.19 0.26 0.26 0.18 0.07 0.00 0.00 0.04 0.11 0.16 0.14 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.31 0.49 0.66 0.82 0.99 1.19 1.43 1.70 1.94 2.14 2.27 2.36 2.44 2.55 2.69 2.82 2.90 2.91 2.84 2.72 2.60 2.50 2.42 2.32 2.18 1.97 1.72 1.45 1.21 1.00 0.82 0.65 0.47 65.0 + 67.5 0.48 0.34 0.21 0.10 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.10 0.07 0.00 0.00 0.00 0.00 0.00 0.02 0.08 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.45 0.72 1.00 1.27 1.56 1.86 2.18 2.49 2.76 2.98 3.15 3.28 3.38 3.45 3.48 3.44 3.33 3.14 2.91 2.68 2.49 2.34 2.21 2.05 1.86 1.62 1.36 1.13 0.93 0.77 0.62 0.48 0.34 0.21 0.10 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.10 0.07 0.00 0.00 0.00 0.00 0.00 0.02 0.08 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.45 0.72 1.00 1.27 1.56 1.86 2.18 2.49 2.76 2.98 3.15 3.28 3.38 3.45 3.48 3.44 3.33 3.14 2.91 2.68 2.49 2.34 2.21 2.05 1.86 1.62 1.36 1.13 0.93 0.77 0.62 0.48 67.5 + 70.0 0.58 0.48 0.38 0.30 0.23 0.17 0.11 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.24 0.58 0.96 1.33 1.68 2.02 2.36 2.71 3.05 3.37 3.64 3.83 3.94 3.98 3.95 3.85 3.68 3.43 3.13 2.80 2.49 2.23 2.04 1.90 1.77 1.62 1.43 1.23 1.04 0.89 0.77 0.67 0.58 0.48 0.38 0.30 0.23 0.17 0.11 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.24 0.58 0.96 1.33 1.68 2.02 2.36 2.71 3.05 3.37 3.64 3.83 3.94 3.98 3.95 3.85 3.68 3.43 3.13 2.80 2.49 2.23 2.04 1.90 1.77 1.62 1.43 1.23 1.04 0.89 0.77 0.67 0.58 70.0 + 72.5 0.73 0.67 0.59 0.52 0.45 0.38 0.30 0.22 0.16 0.13 0.13 0.13 0.11 0.02 0.00 0.00 0.00 0.00 0.00 0.10 0.15 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.46 0.89 1.34 1.78 2.17 2.52 2.85 3.18 3.51 3.83 4.09 4.25 4.29 4.22 4.06 3.83 3.54 3.20 2.83 2.46 2.11 1.83 1.63 1.51 1.42 1.34 1.23 1.12 1.00 0.91 0.85 0.79 0.73 0.67 0.59 0.52 0.45 0.38 0.30 0.22 0.16 0.13 0.13 0.13 0.11 0.02 0.00 0.00 0.00 0.00 0.00 0.10 0.15 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.46 0.89 1.34 1.78 2.17 2.52 2.85 3.18 3.51 3.83 4.09 4.25 4.29 4.22 4.06 3.83 3.54 3.20 2.83 2.46 2.11 1.83 1.63 1.51 1.42 1.34 1.23 1.12 1.00 0.91 0.85 0.79 0.73 72.5 + 75.0 0.90 0.85 0.79 0.72 0.65 0.57 0.49 0.41 0.37 0.37 0.40 0.44 0.42 0.33 0.19 0.07 0.04 0.12 0.28 0.43 0.48 0.39 0.21 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.16 0.43 0.82 1.30 1.80 2.25 2.63 2.93 3.19 3.45 3.72 3.99 4.19 4.29 4.23 4.04 3.75 3.41 3.05 2.70 2.35 2.00 1.67 1.40 1.21 1.11 1.08 1.07 1.06 1.04 1.01 0.98 0.96 0.94 0.90 0.85 0.79 0.72 0.65 0.57 0.49 0.41 0.37 0.37 0.40 0.44 0.42 0.33 0.19 0.07 0.04 0.12 0.28 0.43 0.48 0.39 0.21 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.16 0.43 0.82 1.30 1.80 2.25 2.63 2.93 3.19 3.45 3.72 3.99 4.19 4.29 4.23 4.04 3.75 3.41 3.05 2.70 2.35 2.00 1.67 1.40 1.21 1.11 1.08 1.07 1.06 1.04 1.01 0.98 0.96 0.94 0.90 75.0 + 77.5 1.04 1.00 0.94 0.88 0.81 0.72 0.63 0.56 0.54 0.59 0.69 0.79 0.81 0.73 0.58 0.44 0.41 0.52 0.71 0.88 0.94 0.83 0.61 0.38 0.21 0.15 0.14 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.29 0.41 0.57 0.83 1.21 1.69 2.17 2.59 2.90 3.10 3.24 3.39 3.57 3.76 3.91 3.93 3.78 3.48 3.10 2.70 2.34 2.05 1.79 1.54 1.29 1.05 0.87 0.78 0.77 0.83 0.91 0.99 1.04 1.07 1.08 1.07 1.04 1.00 0.94 0.88 0.81 0.72 0.63 0.56 0.54 0.59 0.69 0.79 0.81 0.73 0.58 0.44 0.41 0.52 0.71 0.88 0.94 0.83 0.61 0.38 0.21 0.15 0.14 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.29 0.41 0.57 0.83 1.21 1.69 2.17 2.59 2.90 3.10 3.24 3.39 3.57 3.76 3.91 3.93 3.78 3.48 3.10 2.70 2.34 2.05 1.79 1.54 1.29 1.05 0.87 0.78 0.77 0.83 0.91 0.99 1.04 1.07 1.08 1.07 1.04 77.5 + 80.0 1.12 1.09 1.05 1.00 0.92 0.82 0.70 0.62 0.62 0.72 0.90 1.06 1.13 1.07 0.91 0.76 0.72 0.85 1.08 1.30 1.37 1.25 1.00 0.73 0.53 0.45 0.43 0.37 0.23 0.02 0.00 0.00 0.00 0.08 0.39 0.66 0.84 0.96 1.07 1.25 1.55 1.93 2.34 2.67 2.88 2.95 2.96 2.97 3.05 3.18 3.28 3.26 3.07 2.71 2.27 1.87 1.57 1.40 1.29 1.17 1.01 0.81 0.63 0.52 0.53 0.63 0.78 0.94 1.07 1.14 1.16 1.15 1.12 1.09 1.05 1.00 0.92 0.82 0.70 0.62 0.62 0.72 0.90 1.06 1.13 1.07 0.91 0.76 0.72 0.85 1.08 1.30 1.37 1.25 1.00 0.73 0.53 0.45 0.43 0.37 0.23 0.02 0.00 0.00 0.00 0.08 0.39 0.66 0.84 0.96 1.07 1.25 1.55 1.93 2.34 2.67 2.88 2.95 2.96 2.97 3.05 3.18 3.28 3.26 3.07 2.71 2.27 1.87 1.57 1.40 1.29 1.17 1.01 0.81 0.63 0.52 0.53 0.63 0.78 0.94 1.07 1.14 1.16 1.15 1.12 80.0 + 82.5 1.15 1.13 1.11 1.07 0.99 0.85 0.69 0.58 0.58 0.72 0.96 1.19 1.31 1.26 1.08 0.90 0.85 0.99 1.26 1.53 1.63 1.52 1.25 0.94 0.73 0.66 0.66 0.64 0.53 0.33 0.14 0.08 0.22 0.53 0.93 1.27 1.48 1.56 1.56 1.60 1.74 1.98 2.27 2.50 2.59 2.54 2.41 2.30 2.30 2.38 2.49 2.48 2.30 1.93 1.49 1.11 0.89 0.85 0.90 0.94 0.87 0.70 0.49 0.34 0.33 0.45 0.66 0.89 1.07 1.17 1.19 1.17 1.15 1.13 1.11 1.07 0.99 0.85 0.69 0.58 0.58 0.72 0.96 1.19 1.31 1.26 1.08 0.90 0.85 0.99 1.26 1.53 1.63 1.52 1.25 0.94 0.73 0.66 0.66 0.64 0.53 0.33 0.14 0.08 0.22 0.53 0.93 1.27 1.48 1.56 1.56 1.60 1.74 1.98 2.27 2.50 2.59 2.54 2.41 2.30 2.30 2.38 2.49 2.48 2.30 1.93 1.49 1.11 0.89 0.85 0.90 0.94 0.87 0.70 0.49 0.34 0.33 0.45 0.66 0.89 1.07 1.17 1.19 1.17 1.15 82.5 + 85.0 1.13 1.12 1.13 1.11 1.02 0.85 0.63 0.47 0.45 0.60 0.89 1.17 1.32 1.27 1.06 0.84 0.76 0.90 1.20 1.51 1.65 1.56 1.28 0.97 0.77 0.73 0.79 0.85 0.80 0.66 0.51 0.47 0.65 1.02 1.48 1.87 2.09 2.09 1.96 1.82 1.77 1.85 2.01 2.14 2.14 2.00 1.78 1.59 1.53 1.62 1.76 1.81 1.67 1.34 0.92 0.57 0.43 0.50 0.69 0.84 0.84 0.68 0.44 0.24 0.19 0.31 0.56 0.84 1.05 1.17 1.19 1.16 1.13 1.12 1.13 1.11 1.02 0.85 0.63 0.47 0.45 0.60 0.89 1.17 1.32 1.27 1.06 0.84 0.76 0.90 1.20 1.51 1.65 1.56 1.28 0.97 0.77 0.73 0.79 0.85 0.80 0.66 0.51 0.47 0.65 1.02 1.48 1.87 2.09 2.09 1.96 1.82 1.77 1.85 2.01 2.14 2.14 2.00 1.78 1.59 1.53 1.62 1.76 1.81 1.67 1.34 0.92 0.57 0.43 0.50 0.69 0.84 0.84 0.68 0.44 0.24 0.19 0.31 0.56 0.84 1.05 1.17 1.19 1.16 1.13 85.0 + 87.5 1.10 1.11 1.14 1.13 1.02 0.81 0.55 0.34 0.29 0.44 0.74 1.05 1.21 1.15 0.91 0.65 0.53 0.66 0.97 1.31 1.49 1.43 1.18 0.89 0.71 0.71 0.85 1.00 1.05 0.99 0.88 0.87 1.06 1.45 1.92 2.33 2.52 2.45 2.18 1.87 1.65 1.58 1.64 1.72 1.69 1.52 1.27 1.05 0.98 1.08 1.28 1.41 1.35 1.06 0.67 0.35 0.24 0.37 0.64 0.87 0.92 0.75 0.47 0.22 0.13 0.24 0.50 0.80 1.03 1.15 1.16 1.13 1.10 1.11 1.14 1.13 1.02 0.81 0.55 0.34 0.29 0.44 0.74 1.05 1.21 1.15 0.91 0.65 0.53 0.66 0.97 1.31 1.49 1.43 1.18 0.89 0.71 0.71 0.85 1.00 1.05 0.99 0.88 0.87 1.06 1.45 1.92 2.33 2.52 2.45 2.18 1.87 1.65 1.58 1.64 1.72 1.69 1.52 1.27 1.05 0.98 1.08 1.28 1.41 1.35 1.06 0.67 0.35 0.24 0.37 0.64 0.87 0.92 0.75 0.47 0.22 0.13 0.24 0.50 0.80 1.03 1.15 1.16 1.13 1.10 87.5 + 90.0 1.09 1.11 1.15 1.14 1.02 0.79 0.50 0.25 0.17 0.29 0.58 0.89 1.05 0.99 0.74 0.45 0.31 0.42 0.73 1.09 1.33 1.32 1.12 0.87 0.72 0.77 0.97 1.20 1.33 1.33 1.26 1.24 1.40 1.74 2.17 2.53 2.67 2.53 2.17 1.74 1.40 1.24 1.26 1.33 1.33 1.20 0.97 0.77 0.72 0.87 1.12 1.32 1.33 1.09 0.73 0.42 0.31 0.45 0.74 0.99 1.05 0.89 0.58 0.29 0.17 0.25 0.50 0.79 1.02 1.14 1.15 1.11 1.09 1.11 1.15 1.14 1.02 0.79 0.50 0.25 0.17 0.29 0.58 0.89 1.05 0.99 0.74 0.45 0.31 0.42 0.73 1.09 1.33 1.32 1.12 0.87 0.72 0.77 0.97 1.20 1.33 1.33 1.26 1.24 1.40 1.74 2.17 2.53 2.67 2.53 2.17 1.74 1.40 1.24 1.26 1.33 1.33 1.20 0.97 0.77 0.72 0.87 1.12 1.32 1.33 1.09 0.73 0.42 0.31 0.45 0.74 0.99 1.05 0.89 0.58 0.29 0.17 0.25 0.50 0.79 1.02 1.14 1.15 1.11 1.09 90.0 + + 65.0 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.30 ) PHI2 = 65. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.0 + 2.5 0.39 0.49 0.65 0.85 1.06 1.29 1.53 1.79 2.03 2.22 2.30 2.25 2.09 1.86 1.61 1.37 1.14 0.92 0.72 0.54 0.43 0.38 0.36 0.33 0.23 0.04 0.00 0.00 0.00 0.00 0.00 0.05 0.25 0.37 0.40 0.41 0.45 0.55 0.71 0.91 1.13 1.35 1.59 1.83 2.04 2.19 2.24 2.16 1.99 1.76 1.51 1.27 1.05 0.84 0.65 0.50 0.41 0.39 0.40 0.38 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.08 0.26 0.35 0.36 0.36 0.39 0.49 0.65 0.85 1.06 1.29 1.53 1.79 2.03 2.22 2.30 2.25 2.09 1.86 1.61 1.37 1.14 0.92 0.72 0.54 0.43 0.38 0.36 0.33 0.23 0.04 0.00 0.00 0.00 0.00 0.00 0.05 0.25 0.37 0.40 0.41 0.45 0.55 0.71 0.91 1.13 1.35 1.59 1.83 2.04 2.19 2.24 2.16 1.99 1.76 1.51 1.27 1.05 0.84 0.65 0.50 0.41 0.39 0.40 0.38 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.08 0.26 0.35 0.36 0.36 0.39 2.5 + 5.0 0.28 0.36 0.51 0.70 0.91 1.16 1.44 1.75 2.06 2.31 2.44 2.43 2.28 2.03 1.76 1.48 1.23 0.99 0.78 0.59 0.46 0.40 0.38 0.37 0.30 0.15 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.46 0.50 0.50 0.51 0.59 0.72 0.92 1.15 1.40 1.66 1.90 2.11 2.23 2.23 2.12 1.91 1.65 1.38 1.12 0.88 0.67 0.51 0.41 0.38 0.42 0.48 0.50 0.42 0.25 0.05 0.00 0.00 0.00 0.07 0.25 0.35 0.37 0.33 0.28 0.28 0.36 0.51 0.70 0.91 1.16 1.44 1.75 2.06 2.31 2.44 2.43 2.28 2.03 1.76 1.48 1.23 0.99 0.78 0.59 0.46 0.40 0.38 0.37 0.30 0.15 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.46 0.50 0.50 0.51 0.59 0.72 0.92 1.15 1.40 1.66 1.90 2.11 2.23 2.23 2.12 1.91 1.65 1.38 1.12 0.88 0.67 0.51 0.41 0.38 0.42 0.48 0.50 0.42 0.25 0.05 0.00 0.00 0.00 0.07 0.25 0.35 0.37 0.33 0.28 0.28 5.0 + 7.5 0.18 0.23 0.35 0.52 0.73 0.98 1.30 1.67 2.05 2.38 2.59 2.63 2.50 2.26 1.96 1.67 1.40 1.17 0.95 0.77 0.63 0.56 0.54 0.54 0.51 0.42 0.26 0.10 0.00 0.00 0.12 0.32 0.50 0.62 0.66 0.64 0.62 0.64 0.74 0.91 1.15 1.43 1.71 1.96 2.14 2.21 2.17 2.01 1.78 1.50 1.22 0.94 0.69 0.49 0.36 0.32 0.37 0.48 0.59 0.63 0.57 0.43 0.26 0.14 0.12 0.20 0.33 0.43 0.46 0.40 0.30 0.21 0.18 0.23 0.35 0.52 0.73 0.98 1.30 1.67 2.05 2.38 2.59 2.63 2.50 2.26 1.96 1.67 1.40 1.17 0.95 0.77 0.63 0.56 0.54 0.54 0.51 0.42 0.26 0.10 0.00 0.00 0.12 0.32 0.50 0.62 0.66 0.64 0.62 0.64 0.74 0.91 1.15 1.43 1.71 1.96 2.14 2.21 2.17 2.01 1.78 1.50 1.22 0.94 0.69 0.49 0.36 0.32 0.37 0.48 0.59 0.63 0.57 0.43 0.26 0.14 0.12 0.20 0.33 0.43 0.46 0.40 0.30 0.21 0.18 7.5 + 10.0 0.13 0.15 0.24 0.37 0.54 0.79 1.11 1.52 1.96 2.36 2.64 2.75 2.67 2.45 2.18 1.90 1.66 1.46 1.28 1.11 0.97 0.89 0.87 0.89 0.90 0.85 0.72 0.55 0.41 0.36 0.42 0.57 0.73 0.85 0.88 0.83 0.75 0.71 0.74 0.89 1.12 1.41 1.70 1.94 2.08 2.11 2.02 1.84 1.60 1.34 1.06 0.80 0.55 0.37 0.27 0.29 0.40 0.56 0.69 0.73 0.66 0.52 0.38 0.31 0.33 0.43 0.53 0.58 0.54 0.43 0.29 0.17 0.13 0.15 0.24 0.37 0.54 0.79 1.11 1.52 1.96 2.36 2.64 2.75 2.67 2.45 2.18 1.90 1.66 1.46 1.28 1.11 0.97 0.89 0.87 0.89 0.90 0.85 0.72 0.55 0.41 0.36 0.42 0.57 0.73 0.85 0.88 0.83 0.75 0.71 0.74 0.89 1.12 1.41 1.70 1.94 2.08 2.11 2.02 1.84 1.60 1.34 1.06 0.80 0.55 0.37 0.27 0.29 0.40 0.56 0.69 0.73 0.66 0.52 0.38 0.31 0.33 0.43 0.53 0.58 0.54 0.43 0.29 0.17 0.13 10.0 + 12.5 0.13 0.14 0.19 0.27 0.39 0.59 0.89 1.29 1.76 2.20 2.55 2.72 2.71 2.56 2.34 2.13 1.95 1.81 1.68 1.54 1.41 1.32 1.30 1.32 1.36 1.33 1.22 1.04 0.85 0.73 0.73 0.84 0.98 1.09 1.10 1.01 0.88 0.76 0.74 0.85 1.07 1.36 1.65 1.86 1.96 1.94 1.81 1.63 1.41 1.19 0.95 0.71 0.49 0.33 0.27 0.33 0.47 0.64 0.75 0.75 0.64 0.49 0.38 0.35 0.42 0.54 0.63 0.64 0.57 0.43 0.29 0.18 0.13 0.14 0.19 0.27 0.39 0.59 0.89 1.29 1.76 2.20 2.55 2.72 2.71 2.56 2.34 2.13 1.95 1.81 1.68 1.54 1.41 1.32 1.30 1.32 1.36 1.33 1.22 1.04 0.85 0.73 0.73 0.84 0.98 1.09 1.10 1.01 0.88 0.76 0.74 0.85 1.07 1.36 1.65 1.86 1.96 1.94 1.81 1.63 1.41 1.19 0.95 0.71 0.49 0.33 0.27 0.33 0.47 0.64 0.75 0.75 0.64 0.49 0.38 0.35 0.42 0.54 0.63 0.64 0.57 0.43 0.29 0.18 0.13 12.5 + 15.0 0.17 0.16 0.17 0.19 0.25 0.39 0.65 1.02 1.46 1.92 2.29 2.52 2.59 2.53 2.40 2.28 2.19 2.12 2.03 1.92 1.79 1.68 1.65 1.67 1.72 1.71 1.61 1.41 1.18 1.01 0.96 1.04 1.17 1.26 1.26 1.14 0.95 0.79 0.73 0.82 1.03 1.32 1.59 1.77 1.82 1.76 1.61 1.43 1.25 1.08 0.89 0.69 0.50 0.36 0.33 0.41 0.56 0.71 0.76 0.70 0.54 0.37 0.28 0.31 0.42 0.57 0.65 0.64 0.55 0.41 0.28 0.20 0.17 0.16 0.17 0.19 0.25 0.39 0.65 1.02 1.46 1.92 2.29 2.52 2.59 2.53 2.40 2.28 2.19 2.12 2.03 1.92 1.79 1.68 1.65 1.67 1.72 1.71 1.61 1.41 1.18 1.01 0.96 1.04 1.17 1.26 1.26 1.14 0.95 0.79 0.73 0.82 1.03 1.32 1.59 1.77 1.82 1.76 1.61 1.43 1.25 1.08 0.89 0.69 0.50 0.36 0.33 0.41 0.56 0.71 0.76 0.70 0.54 0.37 0.28 0.31 0.42 0.57 0.65 0.64 0.55 0.41 0.28 0.20 0.17 15.0 + 17.5 0.17 0.16 0.13 0.10 0.11 0.19 0.40 0.72 1.13 1.56 1.92 2.19 2.32 2.36 2.34 2.32 2.31 2.29 2.22 2.10 1.96 1.83 1.78 1.81 1.86 1.87 1.77 1.56 1.32 1.13 1.06 1.12 1.23 1.31 1.29 1.15 0.95 0.77 0.71 0.81 1.03 1.32 1.57 1.72 1.74 1.64 1.49 1.32 1.16 1.02 0.87 0.70 0.53 0.42 0.40 0.49 0.63 0.74 0.74 0.61 0.41 0.24 0.19 0.26 0.43 0.59 0.66 0.63 0.50 0.36 0.25 0.19 0.17 0.16 0.13 0.10 0.11 0.19 0.40 0.72 1.13 1.56 1.92 2.19 2.32 2.36 2.34 2.32 2.31 2.29 2.22 2.10 1.96 1.83 1.78 1.81 1.86 1.87 1.77 1.56 1.32 1.13 1.06 1.12 1.23 1.31 1.29 1.15 0.95 0.77 0.71 0.81 1.03 1.32 1.57 1.72 1.74 1.64 1.49 1.32 1.16 1.02 0.87 0.70 0.53 0.42 0.40 0.49 0.63 0.74 0.74 0.61 0.41 0.24 0.19 0.26 0.43 0.59 0.66 0.63 0.50 0.36 0.25 0.19 0.17 17.5 + 20.0 0.12 0.09 0.02 0.00 0.00 0.00 0.17 0.45 0.81 1.18 1.51 1.78 1.96 2.09 2.18 2.26 2.31 2.32 2.24 2.10 1.93 1.80 1.74 1.78 1.84 1.85 1.75 1.55 1.31 1.12 1.05 1.09 1.18 1.24 1.20 1.05 0.86 0.72 0.70 0.83 1.07 1.36 1.60 1.73 1.73 1.62 1.45 1.29 1.15 1.02 0.88 0.71 0.56 0.45 0.45 0.54 0.67 0.74 0.70 0.53 0.32 0.18 0.17 0.30 0.50 0.66 0.71 0.62 0.47 0.31 0.20 0.15 0.12 0.09 0.02 0.00 0.00 0.00 0.17 0.45 0.81 1.18 1.51 1.78 1.96 2.09 2.18 2.26 2.31 2.32 2.24 2.10 1.93 1.80 1.74 1.78 1.84 1.85 1.75 1.55 1.31 1.12 1.05 1.09 1.18 1.24 1.20 1.05 0.86 0.72 0.70 0.83 1.07 1.36 1.60 1.73 1.73 1.62 1.45 1.29 1.15 1.02 0.88 0.71 0.56 0.45 0.45 0.54 0.67 0.74 0.70 0.53 0.32 0.18 0.17 0.30 0.50 0.66 0.71 0.62 0.47 0.31 0.20 0.15 0.12 20.0 + 22.5 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.24 0.54 0.84 1.12 1.37 1.59 1.79 1.98 2.15 2.26 2.29 2.21 2.06 1.89 1.77 1.74 1.79 1.86 1.86 1.76 1.55 1.31 1.13 1.05 1.06 1.11 1.12 1.04 0.90 0.74 0.66 0.69 0.86 1.12 1.41 1.63 1.74 1.73 1.62 1.47 1.31 1.17 1.04 0.89 0.72 0.56 0.47 0.48 0.58 0.70 0.75 0.68 0.50 0.31 0.20 0.25 0.43 0.65 0.80 0.79 0.65 0.45 0.26 0.14 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.24 0.54 0.84 1.12 1.37 1.59 1.79 1.98 2.15 2.26 2.29 2.21 2.06 1.89 1.77 1.74 1.79 1.86 1.86 1.76 1.55 1.31 1.13 1.05 1.06 1.11 1.12 1.04 0.90 0.74 0.66 0.69 0.86 1.12 1.41 1.63 1.74 1.73 1.62 1.47 1.31 1.17 1.04 0.89 0.72 0.56 0.47 0.48 0.58 0.70 0.75 0.68 0.50 0.31 0.20 0.25 0.43 0.65 0.80 0.79 0.65 0.45 0.26 0.14 0.09 0.05 22.5 + 25.0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.34 0.58 0.80 1.01 1.26 1.53 1.82 2.08 2.27 2.34 2.31 2.19 2.07 2.01 2.03 2.11 2.17 2.15 2.00 1.76 1.50 1.30 1.18 1.13 1.10 1.04 0.92 0.77 0.65 0.62 0.70 0.89 1.14 1.39 1.58 1.67 1.66 1.57 1.44 1.30 1.17 1.04 0.88 0.71 0.57 0.49 0.52 0.62 0.74 0.78 0.70 0.53 0.36 0.30 0.39 0.61 0.83 0.94 0.88 0.68 0.44 0.24 0.12 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.34 0.58 0.80 1.01 1.26 1.53 1.82 2.08 2.27 2.34 2.31 2.19 2.07 2.01 2.03 2.11 2.17 2.15 2.00 1.76 1.50 1.30 1.18 1.13 1.10 1.04 0.92 0.77 0.65 0.62 0.70 0.89 1.14 1.39 1.58 1.67 1.66 1.57 1.44 1.30 1.17 1.04 0.88 0.71 0.57 0.49 0.52 0.62 0.74 0.78 0.70 0.53 0.36 0.30 0.39 0.61 0.83 0.94 0.88 0.68 0.44 0.24 0.12 0.05 0.00 25.0 + 27.5 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.25 0.42 0.58 0.77 1.03 1.37 1.76 2.13 2.42 2.58 2.63 2.62 2.61 2.66 2.76 2.87 2.90 2.81 2.58 2.27 1.95 1.69 1.50 1.36 1.23 1.07 0.89 0.74 0.64 0.65 0.75 0.91 1.09 1.26 1.38 1.44 1.43 1.37 1.28 1.18 1.08 0.96 0.83 0.68 0.57 0.53 0.58 0.69 0.80 0.82 0.74 0.57 0.43 0.41 0.53 0.75 0.95 1.02 0.91 0.68 0.43 0.24 0.14 0.09 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.25 0.42 0.58 0.77 1.03 1.37 1.76 2.13 2.42 2.58 2.63 2.62 2.61 2.66 2.76 2.87 2.90 2.81 2.58 2.27 1.95 1.69 1.50 1.36 1.23 1.07 0.89 0.74 0.64 0.65 0.75 0.91 1.09 1.26 1.38 1.44 1.43 1.37 1.28 1.18 1.08 0.96 0.83 0.68 0.57 0.53 0.58 0.69 0.80 0.82 0.74 0.57 0.43 0.41 0.53 0.75 0.95 1.02 0.91 0.68 0.43 0.24 0.14 0.09 0.02 27.5 + 30.0 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.25 0.39 0.51 0.68 0.95 1.35 1.83 2.30 2.70 2.98 3.15 3.28 3.43 3.60 3.79 3.91 3.88 3.69 3.35 2.94 2.54 2.20 1.93 1.69 1.45 1.20 0.97 0.81 0.74 0.75 0.82 0.91 0.99 1.04 1.07 1.07 1.06 1.03 0.99 0.94 0.88 0.80 0.71 0.62 0.56 0.56 0.64 0.75 0.85 0.85 0.76 0.60 0.48 0.48 0.61 0.81 0.97 0.99 0.85 0.61 0.39 0.24 0.19 0.18 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.25 0.39 0.51 0.68 0.95 1.35 1.83 2.30 2.70 2.98 3.15 3.28 3.43 3.60 3.79 3.91 3.88 3.69 3.35 2.94 2.54 2.20 1.93 1.69 1.45 1.20 0.97 0.81 0.74 0.75 0.82 0.91 0.99 1.04 1.07 1.07 1.06 1.03 0.99 0.94 0.88 0.80 0.71 0.62 0.56 0.56 0.64 0.75 0.85 0.85 0.76 0.60 0.48 0.48 0.61 0.81 0.97 0.99 0.85 0.61 0.39 0.24 0.19 0.18 0.13 30.0 + 32.5 0.26 0.12 0.00 0.00 0.00 0.00 0.00 0.17 0.35 0.47 0.56 0.72 1.01 1.44 1.98 2.52 3.00 3.37 3.66 3.93 4.22 4.51 4.75 4.86 4.76 4.45 4.00 3.49 3.03 2.63 2.30 1.98 1.66 1.35 1.10 0.95 0.89 0.91 0.93 0.92 0.87 0.79 0.72 0.67 0.65 0.64 0.63 0.62 0.60 0.57 0.54 0.52 0.52 0.57 0.67 0.78 0.85 0.83 0.72 0.57 0.47 0.48 0.60 0.78 0.89 0.87 0.71 0.49 0.31 0.23 0.25 0.29 0.26 0.12 0.00 0.00 0.00 0.00 0.00 0.17 0.35 0.47 0.56 0.72 1.01 1.44 1.98 2.52 3.00 3.37 3.66 3.93 4.22 4.51 4.75 4.86 4.76 4.45 4.00 3.49 3.03 2.63 2.30 1.98 1.66 1.35 1.10 0.95 0.89 0.91 0.93 0.92 0.87 0.79 0.72 0.67 0.65 0.64 0.63 0.62 0.60 0.57 0.54 0.52 0.52 0.57 0.67 0.78 0.85 0.83 0.72 0.57 0.47 0.48 0.60 0.78 0.89 0.87 0.71 0.49 0.31 0.23 0.25 0.29 0.26 32.5 + 35.0 0.36 0.23 0.03 0.00 0.00 0.00 0.12 0.35 0.53 0.64 0.72 0.86 1.14 1.57 2.10 2.65 3.15 3.56 3.91 4.26 4.63 4.98 5.23 5.30 5.12 4.72 4.19 3.64 3.16 2.76 2.41 2.07 1.73 1.42 1.18 1.06 1.04 1.05 1.03 0.94 0.78 0.60 0.45 0.36 0.33 0.33 0.34 0.34 0.34 0.34 0.35 0.39 0.45 0.55 0.66 0.76 0.80 0.75 0.62 0.48 0.39 0.42 0.54 0.69 0.76 0.70 0.53 0.32 0.19 0.19 0.27 0.36 0.36 0.23 0.03 0.00 0.00 0.00 0.12 0.35 0.53 0.64 0.72 0.86 1.14 1.57 2.10 2.65 3.15 3.56 3.91 4.26 4.63 4.98 5.23 5.30 5.12 4.72 4.19 3.64 3.16 2.76 2.41 2.07 1.73 1.42 1.18 1.06 1.04 1.05 1.03 0.94 0.78 0.60 0.45 0.36 0.33 0.33 0.34 0.34 0.34 0.34 0.35 0.39 0.45 0.55 0.66 0.76 0.80 0.75 0.62 0.48 0.39 0.42 0.54 0.69 0.76 0.70 0.53 0.32 0.19 0.19 0.27 0.36 0.36 35.0 + 37.5 0.38 0.28 0.11 0.00 0.00 0.09 0.32 0.57 0.75 0.84 0.90 1.01 1.25 1.64 2.11 2.60 3.02 3.38 3.71 4.05 4.42 4.77 4.99 5.00 4.76 4.31 3.77 3.25 2.83 2.50 2.21 1.92 1.61 1.34 1.15 1.08 1.10 1.13 1.10 0.96 0.74 0.51 0.33 0.23 0.20 0.20 0.21 0.20 0.18 0.18 0.20 0.27 0.37 0.50 0.62 0.69 0.69 0.61 0.46 0.33 0.28 0.34 0.47 0.60 0.63 0.54 0.36 0.17 0.08 0.11 0.24 0.36 0.38 0.28 0.11 0.00 0.00 0.09 0.32 0.57 0.75 0.84 0.90 1.01 1.25 1.64 2.11 2.60 3.02 3.38 3.71 4.05 4.42 4.77 4.99 5.00 4.76 4.31 3.77 3.25 2.83 2.50 2.21 1.92 1.61 1.34 1.15 1.08 1.10 1.13 1.10 0.96 0.74 0.51 0.33 0.23 0.20 0.20 0.21 0.20 0.18 0.18 0.20 0.27 0.37 0.50 0.62 0.69 0.69 0.61 0.46 0.33 0.28 0.34 0.47 0.60 0.63 0.54 0.36 0.17 0.08 0.11 0.24 0.36 0.38 37.5 + 40.0 0.36 0.30 0.17 0.09 0.12 0.29 0.53 0.77 0.93 0.99 1.01 1.08 1.26 1.56 1.93 2.29 2.59 2.83 3.05 3.32 3.63 3.92 4.08 4.04 3.76 3.32 2.84 2.42 2.12 1.92 1.75 1.56 1.33 1.12 1.00 0.98 1.04 1.10 1.08 0.95 0.75 0.52 0.35 0.27 0.25 0.26 0.25 0.22 0.17 0.13 0.14 0.21 0.32 0.46 0.58 0.63 0.58 0.45 0.29 0.17 0.16 0.25 0.40 0.53 0.54 0.43 0.24 0.06 0.00 0.04 0.19 0.32 0.36 0.30 0.17 0.09 0.12 0.29 0.53 0.77 0.93 0.99 1.01 1.08 1.26 1.56 1.93 2.29 2.59 2.83 3.05 3.32 3.63 3.92 4.08 4.04 3.76 3.32 2.84 2.42 2.12 1.92 1.75 1.56 1.33 1.12 1.00 0.98 1.04 1.10 1.08 0.95 0.75 0.52 0.35 0.27 0.25 0.26 0.25 0.22 0.17 0.13 0.14 0.21 0.32 0.46 0.58 0.63 0.58 0.45 0.29 0.17 0.16 0.25 0.40 0.53 0.54 0.43 0.24 0.06 0.00 0.04 0.19 0.32 0.36 40.0 + 42.5 0.36 0.31 0.23 0.20 0.28 0.47 0.71 0.91 1.01 1.02 0.99 1.01 1.12 1.32 1.56 1.77 1.92 2.01 2.11 2.26 2.48 2.70 2.82 2.74 2.48 2.09 1.70 1.42 1.28 1.24 1.22 1.14 1.01 0.86 0.78 0.78 0.87 0.96 0.98 0.91 0.75 0.58 0.45 0.40 0.40 0.42 0.41 0.36 0.28 0.20 0.18 0.22 0.33 0.47 0.57 0.59 0.50 0.33 0.15 0.04 0.05 0.18 0.36 0.50 0.51 0.38 0.19 0.02 0.00 0.03 0.18 0.31 0.36 0.31 0.23 0.20 0.28 0.47 0.71 0.91 1.01 1.02 0.99 1.01 1.12 1.32 1.56 1.77 1.92 2.01 2.11 2.26 2.48 2.70 2.82 2.74 2.48 2.09 1.70 1.42 1.28 1.24 1.22 1.14 1.01 0.86 0.78 0.78 0.87 0.96 0.98 0.91 0.75 0.58 0.45 0.40 0.40 0.42 0.41 0.36 0.28 0.20 0.18 0.22 0.33 0.47 0.57 0.59 0.50 0.33 0.15 0.04 0.05 0.18 0.36 0.50 0.51 0.38 0.19 0.02 0.00 0.03 0.18 0.31 0.36 42.5 + 45.0 0.42 0.39 0.34 0.34 0.44 0.61 0.81 0.94 0.97 0.92 0.83 0.79 0.84 0.96 1.09 1.17 1.17 1.14 1.12 1.19 1.34 1.51 1.60 1.53 1.30 0.99 0.71 0.56 0.57 0.67 0.77 0.81 0.75 0.65 0.57 0.57 0.64 0.75 0.82 0.81 0.73 0.62 0.54 0.51 0.53 0.57 0.57 0.53 0.44 0.34 0.28 0.29 0.38 0.50 0.59 0.59 0.47 0.27 0.07 0.00 0.00 0.16 0.37 0.52 0.53 0.41 0.23 0.08 0.04 0.12 0.26 0.38 0.42 0.39 0.34 0.34 0.44 0.61 0.81 0.94 0.97 0.92 0.83 0.79 0.84 0.96 1.09 1.17 1.17 1.14 1.12 1.19 1.34 1.51 1.60 1.53 1.30 0.99 0.71 0.56 0.57 0.67 0.77 0.81 0.75 0.65 0.57 0.57 0.64 0.75 0.82 0.81 0.73 0.62 0.54 0.51 0.53 0.57 0.57 0.53 0.44 0.34 0.28 0.29 0.38 0.50 0.59 0.59 0.47 0.27 0.07 0.00 0.00 0.16 0.37 0.52 0.53 0.41 0.23 0.08 0.04 0.12 0.26 0.38 0.42 45.0 + 47.5 0.56 0.51 0.46 0.46 0.55 0.69 0.81 0.87 0.82 0.71 0.58 0.51 0.52 0.58 0.63 0.62 0.53 0.42 0.34 0.37 0.49 0.64 0.73 0.69 0.52 0.28 0.09 0.03 0.13 0.33 0.52 0.63 0.62 0.53 0.43 0.40 0.44 0.53 0.63 0.68 0.67 0.61 0.56 0.54 0.56 0.62 0.66 0.65 0.59 0.48 0.40 0.37 0.43 0.53 0.61 0.61 0.48 0.27 0.07 0.00 0.04 0.22 0.45 0.61 0.63 0.53 0.37 0.25 0.24 0.32 0.45 0.54 0.56 0.51 0.46 0.46 0.55 0.69 0.81 0.87 0.82 0.71 0.58 0.51 0.52 0.58 0.63 0.62 0.53 0.42 0.34 0.37 0.49 0.64 0.73 0.69 0.52 0.28 0.09 0.03 0.13 0.33 0.52 0.63 0.62 0.53 0.43 0.40 0.44 0.53 0.63 0.68 0.67 0.61 0.56 0.54 0.56 0.62 0.66 0.65 0.59 0.48 0.40 0.37 0.43 0.53 0.61 0.61 0.48 0.27 0.07 0.00 0.04 0.22 0.45 0.61 0.63 0.53 0.37 0.25 0.24 0.32 0.45 0.54 0.56 47.5 + 50.0 0.73 0.65 0.56 0.53 0.58 0.66 0.71 0.70 0.60 0.46 0.32 0.26 0.26 0.30 0.30 0.24 0.11 0.00 0.00 0.00 0.04 0.21 0.32 0.31 0.17 0.00 0.00 0.00 0.00 0.21 0.44 0.57 0.59 0.50 0.37 0.29 0.29 0.37 0.48 0.57 0.60 0.57 0.51 0.48 0.50 0.57 0.66 0.71 0.68 0.59 0.48 0.42 0.45 0.53 0.62 0.64 0.54 0.37 0.21 0.14 0.22 0.43 0.66 0.82 0.85 0.76 0.62 0.53 0.53 0.61 0.71 0.76 0.73 0.65 0.56 0.53 0.58 0.66 0.71 0.70 0.60 0.46 0.32 0.26 0.26 0.30 0.30 0.24 0.11 0.00 0.00 0.00 0.04 0.21 0.32 0.31 0.17 0.00 0.00 0.00 0.00 0.21 0.44 0.57 0.59 0.50 0.37 0.29 0.29 0.37 0.48 0.57 0.60 0.57 0.51 0.48 0.50 0.57 0.66 0.71 0.68 0.59 0.48 0.42 0.45 0.53 0.62 0.64 0.54 0.37 0.21 0.14 0.22 0.43 0.66 0.82 0.85 0.76 0.62 0.53 0.53 0.61 0.71 0.76 0.73 50.0 + 52.5 0.85 0.71 0.57 0.50 0.49 0.52 0.53 0.48 0.37 0.24 0.14 0.11 0.13 0.17 0.16 0.07 0.00 0.00 0.00 0.00 0.00 0.13 0.24 0.25 0.14 0.00 0.00 0.00 0.01 0.22 0.43 0.56 0.58 0.49 0.35 0.24 0.21 0.27 0.39 0.50 0.55 0.53 0.46 0.40 0.41 0.49 0.62 0.72 0.74 0.67 0.55 0.46 0.46 0.54 0.64 0.71 0.68 0.59 0.50 0.49 0.60 0.82 1.04 1.18 1.19 1.10 0.97 0.88 0.87 0.92 0.97 0.95 0.85 0.71 0.57 0.50 0.49 0.52 0.53 0.48 0.37 0.24 0.14 0.11 0.13 0.17 0.16 0.07 0.00 0.00 0.00 0.00 0.00 0.13 0.24 0.25 0.14 0.00 0.00 0.00 0.01 0.22 0.43 0.56 0.58 0.49 0.35 0.24 0.21 0.27 0.39 0.50 0.55 0.53 0.46 0.40 0.41 0.49 0.62 0.72 0.74 0.67 0.55 0.46 0.46 0.54 0.64 0.71 0.68 0.59 0.50 0.49 0.60 0.82 1.04 1.18 1.19 1.10 0.97 0.88 0.87 0.92 0.97 0.95 0.85 52.5 + 55.0 0.85 0.65 0.46 0.35 0.30 0.30 0.28 0.24 0.16 0.09 0.06 0.09 0.15 0.19 0.16 0.07 0.00 0.00 0.00 0.00 0.06 0.22 0.32 0.31 0.21 0.08 0.00 0.00 0.08 0.24 0.40 0.50 0.52 0.44 0.32 0.22 0.19 0.24 0.35 0.47 0.53 0.51 0.44 0.37 0.37 0.47 0.62 0.76 0.82 0.77 0.65 0.55 0.53 0.61 0.76 0.89 0.96 0.98 0.98 1.03 1.18 1.38 1.57 1.67 1.64 1.52 1.37 1.25 1.19 1.17 1.13 1.03 0.85 0.65 0.46 0.35 0.30 0.30 0.28 0.24 0.16 0.09 0.06 0.09 0.15 0.19 0.16 0.07 0.00 0.00 0.00 0.00 0.06 0.22 0.32 0.31 0.21 0.08 0.00 0.00 0.08 0.24 0.40 0.50 0.52 0.44 0.32 0.22 0.19 0.24 0.35 0.47 0.53 0.51 0.44 0.37 0.37 0.47 0.62 0.76 0.82 0.77 0.65 0.55 0.53 0.61 0.76 0.89 0.96 0.98 0.98 1.03 1.18 1.38 1.57 1.67 1.64 1.52 1.37 1.25 1.19 1.17 1.13 1.03 0.85 55.0 + 57.5 0.73 0.47 0.26 0.12 0.06 0.05 0.04 0.02 0.00 0.00 0.04 0.13 0.22 0.26 0.23 0.12 0.00 0.00 0.00 0.04 0.19 0.31 0.36 0.32 0.22 0.12 0.05 0.05 0.11 0.21 0.31 0.37 0.38 0.33 0.25 0.18 0.17 0.23 0.34 0.46 0.53 0.52 0.47 0.42 0.44 0.55 0.72 0.89 0.97 0.95 0.86 0.77 0.77 0.87 1.06 1.26 1.43 1.54 1.63 1.73 1.88 2.04 2.17 2.20 2.12 1.95 1.74 1.56 1.42 1.30 1.17 0.97 0.73 0.47 0.26 0.12 0.06 0.05 0.04 0.02 0.00 0.00 0.04 0.13 0.22 0.26 0.23 0.12 0.00 0.00 0.00 0.04 0.19 0.31 0.36 0.32 0.22 0.12 0.05 0.05 0.11 0.21 0.31 0.37 0.38 0.33 0.25 0.18 0.17 0.23 0.34 0.46 0.53 0.52 0.47 0.42 0.44 0.55 0.72 0.89 0.97 0.95 0.86 0.77 0.77 0.87 1.06 1.26 1.43 1.54 1.63 1.73 1.88 2.04 2.17 2.20 2.12 1.95 1.74 1.56 1.42 1.30 1.17 0.97 0.73 57.5 + 60.0 0.53 0.26 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.16 0.26 0.30 0.24 0.13 0.01 0.00 0.01 0.12 0.24 0.31 0.30 0.22 0.12 0.05 0.02 0.04 0.09 0.14 0.18 0.19 0.19 0.17 0.14 0.13 0.14 0.21 0.31 0.43 0.51 0.54 0.53 0.53 0.59 0.73 0.92 1.11 1.23 1.25 1.22 1.18 1.22 1.37 1.60 1.85 2.07 2.24 2.36 2.47 2.58 2.67 2.71 2.66 2.50 2.27 2.00 1.74 1.52 1.31 1.08 0.82 0.53 0.26 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.16 0.26 0.30 0.24 0.13 0.01 0.00 0.01 0.12 0.24 0.31 0.30 0.22 0.12 0.05 0.02 0.04 0.09 0.14 0.18 0.19 0.19 0.17 0.14 0.13 0.14 0.21 0.31 0.43 0.51 0.54 0.53 0.53 0.59 0.73 0.92 1.11 1.23 1.25 1.22 1.18 1.22 1.37 1.60 1.85 2.07 2.24 2.36 2.47 2.58 2.67 2.71 2.66 2.50 2.27 2.00 1.74 1.52 1.31 1.08 0.82 0.53 60.0 + 62.5 0.37 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.21 0.22 0.14 0.02 0.00 0.00 0.00 0.10 0.19 0.20 0.14 0.03 0.00 0.00 0.00 0.00 0.04 0.05 0.04 0.02 0.01 0.01 0.02 0.04 0.08 0.15 0.24 0.36 0.46 0.54 0.61 0.68 0.80 0.98 1.20 1.42 1.59 1.68 1.73 1.78 1.89 2.08 2.33 2.59 2.80 2.96 3.04 3.09 3.11 3.10 3.04 2.91 2.69 2.40 2.09 1.78 1.50 1.23 0.95 0.66 0.37 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.21 0.22 0.14 0.02 0.00 0.00 0.00 0.10 0.19 0.20 0.14 0.03 0.00 0.00 0.00 0.00 0.04 0.05 0.04 0.02 0.01 0.01 0.02 0.04 0.08 0.15 0.24 0.36 0.46 0.54 0.61 0.68 0.80 0.98 1.20 1.42 1.59 1.68 1.73 1.78 1.89 2.08 2.33 2.59 2.80 2.96 3.04 3.09 3.11 3.10 3.04 2.91 2.69 2.40 2.09 1.78 1.50 1.23 0.95 0.66 0.37 62.5 + 65.0 0.32 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.04 0.00 0.00 0.00 0.00 0.00 0.02 0.08 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.14 0.26 0.40 0.55 0.70 0.86 1.05 1.27 1.52 1.78 2.00 2.19 2.33 2.48 2.66 2.87 3.10 3.31 3.46 3.53 3.51 3.45 3.35 3.22 3.07 2.87 2.62 2.33 2.01 1.70 1.40 1.13 0.86 0.59 0.32 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.04 0.00 0.00 0.00 0.00 0.00 0.02 0.08 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.14 0.26 0.40 0.55 0.70 0.86 1.05 1.27 1.52 1.78 2.00 2.19 2.33 2.48 2.66 2.87 3.10 3.31 3.46 3.53 3.51 3.45 3.35 3.22 3.07 2.87 2.62 2.33 2.01 1.70 1.40 1.13 0.86 0.59 0.32 65.0 + 67.5 0.43 0.24 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.18 0.38 0.61 0.85 1.09 1.33 1.59 1.87 2.15 2.43 2.69 2.92 3.14 3.35 3.55 3.72 3.83 3.86 3.80 3.65 3.46 3.23 3.01 2.80 2.57 2.33 2.08 1.81 1.54 1.30 1.07 0.85 0.64 0.43 0.24 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.18 0.38 0.61 0.85 1.09 1.33 1.59 1.87 2.15 2.43 2.69 2.92 3.14 3.35 3.55 3.72 3.83 3.86 3.80 3.65 3.46 3.23 3.01 2.80 2.57 2.33 2.08 1.81 1.54 1.30 1.07 0.85 0.64 0.43 67.5 + 70.0 0.66 0.51 0.37 0.27 0.18 0.10 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.44 0.76 1.08 1.38 1.67 1.94 2.21 2.50 2.80 3.10 3.38 3.62 3.82 3.95 4.02 4.00 3.89 3.70 3.44 3.13 2.83 2.55 2.31 2.10 1.91 1.73 1.55 1.38 1.23 1.09 0.95 0.81 0.66 0.51 0.37 0.27 0.18 0.10 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.44 0.76 1.08 1.38 1.67 1.94 2.21 2.50 2.80 3.10 3.38 3.62 3.82 3.95 4.02 4.00 3.89 3.70 3.44 3.13 2.83 2.55 2.31 2.10 1.91 1.73 1.55 1.38 1.23 1.09 0.95 0.81 0.66 70.0 + 72.5 0.94 0.81 0.67 0.56 0.45 0.34 0.23 0.13 0.05 0.01 0.01 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.16 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.28 0.62 1.01 1.39 1.73 2.02 2.27 2.51 2.76 3.03 3.32 3.58 3.79 3.92 3.96 3.90 3.75 3.54 3.26 2.93 2.59 2.26 1.97 1.74 1.58 1.46 1.38 1.31 1.26 1.21 1.17 1.12 1.05 0.94 0.81 0.67 0.56 0.45 0.34 0.23 0.13 0.05 0.01 0.01 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.16 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.28 0.62 1.01 1.39 1.73 2.02 2.27 2.51 2.76 3.03 3.32 3.58 3.79 3.92 3.96 3.90 3.75 3.54 3.26 2.93 2.59 2.26 1.97 1.74 1.58 1.46 1.38 1.31 1.26 1.21 1.17 1.12 1.05 0.94 72.5 + 75.0 1.18 1.07 0.94 0.81 0.69 0.57 0.44 0.33 0.25 0.23 0.26 0.28 0.26 0.16 0.02 0.00 0.00 0.03 0.22 0.40 0.46 0.38 0.19 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.21 0.51 0.90 1.33 1.74 2.08 2.34 2.53 2.68 2.85 3.05 3.27 3.48 3.62 3.66 3.58 3.40 3.15 2.88 2.58 2.28 1.97 1.68 1.43 1.23 1.12 1.07 1.08 1.12 1.18 1.24 1.28 1.30 1.27 1.18 1.07 0.94 0.81 0.69 0.57 0.44 0.33 0.25 0.23 0.26 0.28 0.26 0.16 0.02 0.00 0.00 0.03 0.22 0.40 0.46 0.38 0.19 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.21 0.51 0.90 1.33 1.74 2.08 2.34 2.53 2.68 2.85 3.05 3.27 3.48 3.62 3.66 3.58 3.40 3.15 2.88 2.58 2.28 1.97 1.68 1.43 1.23 1.12 1.07 1.08 1.12 1.18 1.24 1.28 1.30 1.27 1.18 75.0 + 77.5 1.35 1.25 1.13 1.01 0.89 0.76 0.62 0.50 0.45 0.47 0.54 0.62 0.62 0.53 0.38 0.25 0.23 0.36 0.57 0.76 0.82 0.73 0.52 0.28 0.11 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.19 0.34 0.55 0.85 1.22 1.63 2.02 2.33 2.53 2.62 2.66 2.71 2.81 2.94 3.08 3.15 3.09 2.92 2.65 2.35 2.07 1.84 1.63 1.43 1.23 1.03 0.87 0.77 0.77 0.84 0.97 1.13 1.27 1.38 1.43 1.42 1.35 1.25 1.13 1.01 0.89 0.76 0.62 0.50 0.45 0.47 0.54 0.62 0.62 0.53 0.38 0.25 0.23 0.36 0.57 0.76 0.82 0.73 0.52 0.28 0.11 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.19 0.34 0.55 0.85 1.22 1.63 2.02 2.33 2.53 2.62 2.66 2.71 2.81 2.94 3.08 3.15 3.09 2.92 2.65 2.35 2.07 1.84 1.63 1.43 1.23 1.03 0.87 0.77 0.77 0.84 0.97 1.13 1.27 1.38 1.43 1.42 1.35 77.5 + 80.0 1.42 1.34 1.25 1.15 1.04 0.89 0.73 0.61 0.57 0.64 0.78 0.92 0.97 0.88 0.71 0.55 0.51 0.64 0.86 1.07 1.15 1.04 0.80 0.53 0.33 0.22 0.16 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.22 0.48 0.69 0.85 1.02 1.23 1.51 1.85 2.17 2.41 2.52 2.51 2.42 2.34 2.33 2.39 2.47 2.49 2.39 2.15 1.83 1.52 1.29 1.17 1.11 1.06 0.96 0.81 0.66 0.55 0.55 0.67 0.86 1.09 1.29 1.43 1.49 1.48 1.42 1.34 1.25 1.15 1.04 0.89 0.73 0.61 0.57 0.64 0.78 0.92 0.97 0.88 0.71 0.55 0.51 0.64 0.86 1.07 1.15 1.04 0.80 0.53 0.33 0.22 0.16 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.22 0.48 0.69 0.85 1.02 1.23 1.51 1.85 2.17 2.41 2.52 2.51 2.42 2.34 2.33 2.39 2.47 2.49 2.39 2.15 1.83 1.52 1.29 1.17 1.11 1.06 0.96 0.81 0.66 0.55 0.55 0.67 0.86 1.09 1.29 1.43 1.49 1.48 1.42 80.0 + 82.5 1.42 1.36 1.31 1.24 1.13 0.97 0.78 0.63 0.60 0.71 0.92 1.12 1.21 1.13 0.92 0.72 0.65 0.77 1.01 1.25 1.34 1.22 0.96 0.66 0.45 0.35 0.32 0.27 0.16 0.00 0.00 0.00 0.01 0.33 0.72 1.08 1.33 1.46 1.52 1.58 1.70 1.90 2.12 2.27 2.31 2.20 2.00 1.81 1.71 1.73 1.80 1.82 1.71 1.46 1.12 0.83 0.67 0.67 0.78 0.87 0.87 0.75 0.58 0.44 0.41 0.54 0.77 1.04 1.28 1.44 1.49 1.47 1.42 1.36 1.31 1.24 1.13 0.97 0.78 0.63 0.60 0.71 0.92 1.12 1.21 1.13 0.92 0.72 0.65 0.77 1.01 1.25 1.34 1.22 0.96 0.66 0.45 0.35 0.32 0.27 0.16 0.00 0.00 0.00 0.01 0.33 0.72 1.08 1.33 1.46 1.52 1.58 1.70 1.90 2.12 2.27 2.31 2.20 2.00 1.81 1.71 1.73 1.80 1.82 1.71 1.46 1.12 0.83 0.67 0.67 0.78 0.87 0.87 0.75 0.58 0.44 0.41 0.54 0.77 1.04 1.28 1.44 1.49 1.47 1.42 82.5 + 85.0 1.38 1.35 1.34 1.30 1.19 1.00 0.77 0.58 0.54 0.68 0.94 1.19 1.31 1.22 0.98 0.73 0.62 0.72 0.97 1.23 1.34 1.23 0.96 0.66 0.46 0.40 0.44 0.47 0.42 0.29 0.18 0.20 0.41 0.81 1.30 1.72 1.98 2.03 1.94 1.81 1.73 1.77 1.87 1.96 1.94 1.77 1.51 1.26 1.12 1.13 1.23 1.30 1.23 0.99 0.67 0.39 0.30 0.40 0.63 0.84 0.91 0.80 0.59 0.40 0.33 0.45 0.70 1.01 1.27 1.42 1.45 1.42 1.38 1.35 1.34 1.30 1.19 1.00 0.77 0.58 0.54 0.68 0.94 1.19 1.31 1.22 0.98 0.73 0.62 0.72 0.97 1.23 1.34 1.23 0.96 0.66 0.46 0.40 0.44 0.47 0.42 0.29 0.18 0.20 0.41 0.81 1.30 1.72 1.98 2.03 1.94 1.81 1.73 1.77 1.87 1.96 1.94 1.77 1.51 1.26 1.12 1.13 1.23 1.30 1.23 0.99 0.67 0.39 0.30 0.40 0.63 0.84 0.91 0.80 0.59 0.40 0.33 0.45 0.70 1.01 1.27 1.42 1.45 1.42 1.38 85.0 + 87.5 1.34 1.34 1.36 1.33 1.22 1.00 0.72 0.50 0.44 0.59 0.87 1.15 1.28 1.18 0.90 0.60 0.45 0.53 0.79 1.06 1.20 1.11 0.87 0.59 0.43 0.44 0.57 0.69 0.73 0.67 0.59 0.63 0.87 1.30 1.81 2.24 2.46 2.42 2.17 1.84 1.59 1.48 1.50 1.54 1.51 1.34 1.07 0.82 0.69 0.73 0.89 1.03 1.01 0.81 0.50 0.24 0.18 0.35 0.65 0.92 1.03 0.92 0.66 0.42 0.32 0.41 0.67 0.99 1.25 1.39 1.41 1.37 1.34 1.34 1.36 1.33 1.22 1.00 0.72 0.50 0.44 0.59 0.87 1.15 1.28 1.18 0.90 0.60 0.45 0.53 0.79 1.06 1.20 1.11 0.87 0.59 0.43 0.44 0.57 0.69 0.73 0.67 0.59 0.63 0.87 1.30 1.81 2.24 2.46 2.42 2.17 1.84 1.59 1.48 1.50 1.54 1.51 1.34 1.07 0.82 0.69 0.73 0.89 1.03 1.01 0.81 0.50 0.24 0.18 0.35 0.65 0.92 1.03 0.92 0.66 0.42 0.32 0.41 0.67 0.99 1.25 1.39 1.41 1.37 1.34 87.5 + 90.0 1.32 1.34 1.38 1.36 1.23 0.99 0.68 0.44 0.36 0.49 0.77 1.04 1.17 1.06 0.76 0.44 0.27 0.33 0.58 0.87 1.04 1.00 0.80 0.57 0.47 0.55 0.76 0.97 1.09 1.09 1.05 1.08 1.28 1.67 2.12 2.50 2.64 2.50 2.12 1.67 1.28 1.08 1.05 1.09 1.09 0.97 0.76 0.55 0.47 0.57 0.80 1.00 1.04 0.87 0.58 0.33 0.27 0.44 0.76 1.06 1.17 1.04 0.77 0.49 0.36 0.44 0.68 0.99 1.23 1.36 1.38 1.34 1.32 1.34 1.38 1.36 1.23 0.99 0.68 0.44 0.36 0.49 0.77 1.04 1.17 1.06 0.76 0.44 0.27 0.33 0.58 0.87 1.04 1.00 0.80 0.57 0.47 0.55 0.76 0.97 1.09 1.09 1.05 1.08 1.28 1.67 2.12 2.50 2.64 2.50 2.12 1.67 1.28 1.08 1.05 1.09 1.09 0.97 0.76 0.55 0.47 0.57 0.80 1.00 1.04 0.87 0.58 0.33 0.27 0.44 0.76 1.06 1.17 1.04 0.77 0.49 0.36 0.44 0.68 0.99 1.23 1.36 1.38 1.34 1.32 90.0 + + 67.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.52 ) PHI2 = 68. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.0 + 2.5 0.49 0.65 0.85 1.07 1.29 1.53 1.79 2.03 2.22 2.30 2.25 2.09 1.86 1.61 1.37 1.14 0.92 0.71 0.54 0.42 0.37 0.36 0.33 0.23 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.25 0.37 0.41 0.41 0.45 0.55 0.71 0.91 1.12 1.35 1.58 1.82 2.04 2.19 2.24 2.16 1.99 1.76 1.51 1.28 1.05 0.84 0.65 0.50 0.42 0.40 0.41 0.38 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.08 0.26 0.35 0.36 0.35 0.39 0.49 0.65 0.85 1.07 1.29 1.53 1.79 2.03 2.22 2.30 2.25 2.09 1.86 1.61 1.37 1.14 0.92 0.71 0.54 0.42 0.37 0.36 0.33 0.23 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.25 0.37 0.41 0.41 0.45 0.55 0.71 0.91 1.12 1.35 1.58 1.82 2.04 2.19 2.24 2.16 1.99 1.76 1.51 1.28 1.05 0.84 0.65 0.50 0.42 0.40 0.41 0.38 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.08 0.26 0.35 0.36 0.35 0.39 0.49 2.5 + 5.0 0.36 0.51 0.70 0.92 1.17 1.45 1.76 2.07 2.32 2.45 2.43 2.27 2.02 1.74 1.47 1.22 0.98 0.76 0.58 0.45 0.38 0.37 0.36 0.29 0.15 0.00 0.00 0.00 0.00 0.00 0.13 0.33 0.46 0.50 0.49 0.51 0.57 0.71 0.90 1.13 1.38 1.64 1.88 2.09 2.21 2.22 2.11 1.91 1.65 1.38 1.13 0.89 0.68 0.51 0.41 0.39 0.43 0.48 0.49 0.41 0.24 0.03 0.00 0.00 0.00 0.06 0.23 0.34 0.36 0.32 0.27 0.28 0.36 0.51 0.70 0.92 1.17 1.45 1.76 2.07 2.32 2.45 2.43 2.27 2.02 1.74 1.47 1.22 0.98 0.76 0.58 0.45 0.38 0.37 0.36 0.29 0.15 0.00 0.00 0.00 0.00 0.00 0.13 0.33 0.46 0.50 0.49 0.51 0.57 0.71 0.90 1.13 1.38 1.64 1.88 2.09 2.21 2.22 2.11 1.91 1.65 1.38 1.13 0.89 0.68 0.51 0.41 0.39 0.43 0.48 0.49 0.41 0.24 0.03 0.00 0.00 0.00 0.06 0.23 0.34 0.36 0.32 0.27 0.28 0.36 5.0 + 7.5 0.21 0.34 0.51 0.73 0.99 1.31 1.68 2.06 2.39 2.59 2.62 2.48 2.23 1.93 1.63 1.36 1.13 0.91 0.73 0.58 0.51 0.49 0.50 0.48 0.39 0.24 0.07 0.00 0.00 0.09 0.28 0.47 0.60 0.63 0.61 0.58 0.59 0.69 0.86 1.10 1.37 1.66 1.91 2.09 2.16 2.13 1.99 1.76 1.49 1.21 0.93 0.68 0.48 0.34 0.30 0.36 0.47 0.57 0.61 0.54 0.39 0.21 0.09 0.08 0.16 0.29 0.40 0.42 0.36 0.26 0.18 0.15 0.21 0.34 0.51 0.73 0.99 1.31 1.68 2.06 2.39 2.59 2.62 2.48 2.23 1.93 1.63 1.36 1.13 0.91 0.73 0.58 0.51 0.49 0.50 0.48 0.39 0.24 0.07 0.00 0.00 0.09 0.28 0.47 0.60 0.63 0.61 0.58 0.59 0.69 0.86 1.10 1.37 1.66 1.91 2.09 2.16 2.13 1.99 1.76 1.49 1.21 0.93 0.68 0.48 0.34 0.30 0.36 0.47 0.57 0.61 0.54 0.39 0.21 0.09 0.08 0.16 0.29 0.40 0.42 0.36 0.26 0.18 0.15 0.21 7.5 + 10.0 0.11 0.20 0.34 0.52 0.77 1.10 1.51 1.96 2.36 2.64 2.73 2.63 2.40 2.11 1.83 1.59 1.38 1.20 1.03 0.88 0.79 0.77 0.79 0.81 0.76 0.64 0.47 0.32 0.26 0.32 0.47 0.64 0.77 0.80 0.75 0.66 0.61 0.64 0.78 1.02 1.31 1.61 1.85 1.99 2.03 1.95 1.78 1.56 1.30 1.03 0.76 0.51 0.32 0.22 0.24 0.35 0.51 0.63 0.66 0.58 0.43 0.28 0.21 0.24 0.35 0.45 0.50 0.46 0.34 0.21 0.10 0.07 0.11 0.20 0.34 0.52 0.77 1.10 1.51 1.96 2.36 2.64 2.73 2.63 2.40 2.11 1.83 1.59 1.38 1.20 1.03 0.88 0.79 0.77 0.79 0.81 0.76 0.64 0.47 0.32 0.26 0.32 0.47 0.64 0.77 0.80 0.75 0.66 0.61 0.64 0.78 1.02 1.31 1.61 1.85 1.99 2.03 1.95 1.78 1.56 1.30 1.03 0.76 0.51 0.32 0.22 0.24 0.35 0.51 0.63 0.66 0.58 0.43 0.28 0.21 0.24 0.35 0.45 0.50 0.46 0.34 0.21 0.10 0.07 0.11 10.0 + 12.5 0.06 0.12 0.20 0.33 0.54 0.85 1.27 1.74 2.19 2.53 2.68 2.64 2.47 2.23 2.01 1.84 1.70 1.56 1.42 1.28 1.18 1.14 1.17 1.20 1.19 1.07 0.88 0.68 0.55 0.55 0.66 0.82 0.94 0.96 0.87 0.73 0.61 0.58 0.69 0.92 1.21 1.51 1.72 1.83 1.82 1.71 1.54 1.34 1.13 0.89 0.64 0.41 0.24 0.17 0.23 0.38 0.55 0.65 0.64 0.51 0.34 0.22 0.20 0.28 0.41 0.51 0.52 0.44 0.30 0.16 0.07 0.04 0.06 0.12 0.20 0.33 0.54 0.85 1.27 1.74 2.19 2.53 2.68 2.64 2.47 2.23 2.01 1.84 1.70 1.56 1.42 1.28 1.18 1.14 1.17 1.20 1.19 1.07 0.88 0.68 0.55 0.55 0.66 0.82 0.94 0.96 0.87 0.73 0.61 0.58 0.69 0.92 1.21 1.51 1.72 1.83 1.82 1.71 1.54 1.34 1.13 0.89 0.64 0.41 0.24 0.17 0.23 0.38 0.55 0.65 0.64 0.51 0.34 0.22 0.20 0.28 0.41 0.51 0.52 0.44 0.30 0.16 0.07 0.04 0.06 12.5 + 15.0 0.05 0.07 0.09 0.16 0.31 0.58 0.98 1.44 1.91 2.27 2.47 2.51 2.42 2.27 2.14 2.05 1.98 1.90 1.77 1.62 1.50 1.45 1.47 1.52 1.51 1.40 1.19 0.95 0.77 0.72 0.80 0.95 1.07 1.08 0.96 0.77 0.60 0.54 0.62 0.85 1.14 1.42 1.61 1.67 1.62 1.49 1.33 1.17 1.00 0.81 0.60 0.39 0.24 0.19 0.27 0.43 0.58 0.63 0.56 0.38 0.19 0.09 0.11 0.24 0.40 0.50 0.49 0.39 0.25 0.12 0.05 0.04 0.05 0.07 0.09 0.16 0.31 0.58 0.98 1.44 1.91 2.27 2.47 2.51 2.42 2.27 2.14 2.05 1.98 1.90 1.77 1.62 1.50 1.45 1.47 1.52 1.51 1.40 1.19 0.95 0.77 0.72 0.80 0.95 1.07 1.08 0.96 0.77 0.60 0.54 0.62 0.85 1.14 1.42 1.61 1.67 1.62 1.49 1.33 1.17 1.00 0.81 0.60 0.39 0.24 0.19 0.27 0.43 0.58 0.63 0.56 0.38 0.19 0.09 0.11 0.24 0.40 0.50 0.49 0.39 0.25 0.12 0.05 0.04 0.05 15.0 + 17.5 0.03 0.01 0.00 0.00 0.10 0.33 0.69 1.13 1.56 1.93 2.16 2.25 2.25 2.21 2.19 2.18 2.16 2.10 1.97 1.80 1.65 1.58 1.60 1.64 1.65 1.54 1.32 1.06 0.85 0.79 0.86 1.00 1.11 1.11 0.98 0.77 0.59 0.53 0.62 0.85 1.15 1.41 1.57 1.60 1.52 1.38 1.23 1.09 0.96 0.80 0.61 0.42 0.29 0.26 0.35 0.50 0.62 0.62 0.48 0.26 0.07 0.00 0.07 0.25 0.43 0.51 0.48 0.35 0.20 0.09 0.04 0.03 0.03 0.01 0.00 0.00 0.10 0.33 0.69 1.13 1.56 1.93 2.16 2.25 2.25 2.21 2.19 2.18 2.16 2.10 1.97 1.80 1.65 1.58 1.60 1.64 1.65 1.54 1.32 1.06 0.85 0.79 0.86 1.00 1.11 1.11 0.98 0.77 0.59 0.53 0.62 0.85 1.15 1.41 1.57 1.60 1.52 1.38 1.23 1.09 0.96 0.80 0.61 0.42 0.29 0.26 0.35 0.50 0.62 0.62 0.48 0.26 0.07 0.00 0.07 0.25 0.43 0.51 0.48 0.35 0.20 0.09 0.04 0.03 0.03 17.5 + 20.0 0.00 0.00 0.00 0.00 0.00 0.13 0.45 0.84 1.23 1.56 1.80 1.94 2.02 2.08 2.15 2.21 2.22 2.15 2.00 1.80 1.63 1.56 1.57 1.63 1.63 1.52 1.31 1.05 0.85 0.79 0.86 0.99 1.08 1.06 0.92 0.73 0.58 0.55 0.68 0.93 1.23 1.48 1.61 1.62 1.52 1.38 1.24 1.12 0.99 0.85 0.66 0.48 0.36 0.35 0.45 0.60 0.69 0.64 0.47 0.23 0.06 0.03 0.16 0.37 0.55 0.61 0.53 0.36 0.19 0.08 0.03 0.02 0.00 0.00 0.00 0.00 0.00 0.13 0.45 0.84 1.23 1.56 1.80 1.94 2.02 2.08 2.15 2.21 2.22 2.15 2.00 1.80 1.63 1.56 1.57 1.63 1.63 1.52 1.31 1.05 0.85 0.79 0.86 0.99 1.08 1.06 0.92 0.73 0.58 0.55 0.68 0.93 1.23 1.48 1.61 1.62 1.52 1.38 1.24 1.12 0.99 0.85 0.66 0.48 0.36 0.35 0.45 0.60 0.69 0.64 0.47 0.23 0.06 0.03 0.16 0.37 0.55 0.61 0.53 0.36 0.19 0.08 0.03 0.02 0.00 20.0 + 22.5 0.00 0.00 0.00 0.00 0.00 0.00 0.29 0.64 0.96 1.23 1.45 1.62 1.77 1.93 2.08 2.20 2.23 2.16 1.99 1.79 1.63 1.57 1.60 1.66 1.66 1.54 1.31 1.06 0.87 0.81 0.86 0.96 1.01 0.96 0.82 0.66 0.56 0.58 0.76 1.03 1.32 1.55 1.67 1.66 1.57 1.44 1.31 1.19 1.06 0.91 0.72 0.55 0.44 0.45 0.57 0.71 0.79 0.72 0.54 0.32 0.18 0.21 0.39 0.62 0.78 0.78 0.64 0.42 0.22 0.10 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.29 0.64 0.96 1.23 1.45 1.62 1.77 1.93 2.08 2.20 2.23 2.16 1.99 1.79 1.63 1.57 1.60 1.66 1.66 1.54 1.31 1.06 0.87 0.81 0.86 0.96 1.01 0.96 0.82 0.66 0.56 0.58 0.76 1.03 1.32 1.55 1.67 1.66 1.57 1.44 1.31 1.19 1.06 0.91 0.72 0.55 0.44 0.45 0.57 0.71 0.79 0.72 0.54 0.32 0.18 0.21 0.39 0.62 0.78 0.78 0.64 0.42 0.22 0.10 0.04 0.00 0.00 22.5 + 25.0 0.00 0.00 0.00 0.00 0.00 0.00 0.21 0.51 0.77 0.98 1.16 1.35 1.57 1.82 2.07 2.26 2.33 2.28 2.14 1.98 1.88 1.88 1.94 1.99 1.95 1.78 1.52 1.25 1.04 0.95 0.95 0.98 0.96 0.86 0.71 0.58 0.54 0.62 0.81 1.08 1.33 1.53 1.62 1.62 1.54 1.44 1.33 1.22 1.09 0.94 0.76 0.60 0.52 0.56 0.69 0.83 0.90 0.84 0.66 0.47 0.38 0.46 0.67 0.90 1.02 0.97 0.77 0.51 0.29 0.16 0.09 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.21 0.51 0.77 0.98 1.16 1.35 1.57 1.82 2.07 2.26 2.33 2.28 2.14 1.98 1.88 1.88 1.94 1.99 1.95 1.78 1.52 1.25 1.04 0.95 0.95 0.98 0.96 0.86 0.71 0.58 0.54 0.62 0.81 1.08 1.33 1.53 1.62 1.62 1.54 1.44 1.33 1.22 1.09 0.94 0.76 0.60 0.52 0.56 0.69 0.83 0.90 0.84 0.66 0.47 0.38 0.46 0.67 0.90 1.02 0.97 0.77 0.51 0.29 0.16 0.09 0.04 0.00 25.0 + 27.5 0.02 0.00 0.00 0.00 0.00 0.00 0.20 0.46 0.67 0.82 0.97 1.18 1.47 1.82 2.18 2.46 2.61 2.63 2.58 2.53 2.54 2.61 2.70 2.73 2.61 2.35 2.01 1.67 1.42 1.27 1.18 1.11 0.99 0.83 0.66 0.56 0.55 0.66 0.83 1.04 1.22 1.35 1.41 1.40 1.35 1.29 1.21 1.13 1.02 0.89 0.74 0.62 0.58 0.65 0.80 0.94 1.00 0.93 0.77 0.61 0.56 0.67 0.90 1.11 1.19 1.10 0.86 0.58 0.37 0.26 0.21 0.15 0.02 0.00 0.00 0.00 0.00 0.00 0.20 0.46 0.67 0.82 0.97 1.18 1.47 1.82 2.18 2.46 2.61 2.63 2.58 2.53 2.54 2.61 2.70 2.73 2.61 2.35 2.01 1.67 1.42 1.27 1.18 1.11 0.99 0.83 0.66 0.56 0.55 0.66 0.83 1.04 1.22 1.35 1.41 1.40 1.35 1.29 1.21 1.13 1.02 0.89 0.74 0.62 0.58 0.65 0.80 0.94 1.00 0.93 0.77 0.61 0.56 0.67 0.90 1.11 1.19 1.10 0.86 0.58 0.37 0.26 0.21 0.15 0.02 27.5 + 30.0 0.17 0.00 0.00 0.00 0.00 0.00 0.27 0.51 0.67 0.77 0.91 1.14 1.49 1.94 2.40 2.78 3.04 3.18 3.27 3.37 3.52 3.69 3.80 3.76 3.54 3.15 2.70 2.27 1.94 1.70 1.52 1.33 1.11 0.89 0.71 0.62 0.63 0.72 0.84 0.94 1.01 1.04 1.04 1.03 1.01 0.98 0.94 0.90 0.83 0.74 0.65 0.59 0.61 0.71 0.86 1.00 1.04 0.96 0.80 0.67 0.65 0.78 1.00 1.19 1.23 1.10 0.86 0.61 0.44 0.38 0.37 0.32 0.17 0.00 0.00 0.00 0.00 0.00 0.27 0.51 0.67 0.77 0.91 1.14 1.49 1.94 2.40 2.78 3.04 3.18 3.27 3.37 3.52 3.69 3.80 3.76 3.54 3.15 2.70 2.27 1.94 1.70 1.52 1.33 1.11 0.89 0.71 0.62 0.63 0.72 0.84 0.94 1.01 1.04 1.04 1.03 1.01 0.98 0.94 0.90 0.83 0.74 0.65 0.59 0.61 0.71 0.86 1.00 1.04 0.96 0.80 0.67 0.65 0.78 1.00 1.19 1.23 1.10 0.86 0.61 0.44 0.38 0.37 0.32 0.17 30.0 + 32.5 0.35 0.12 0.00 0.00 0.00 0.14 0.42 0.64 0.77 0.86 0.98 1.22 1.62 2.13 2.67 3.14 3.49 3.75 3.98 4.24 4.52 4.77 4.87 4.76 4.41 3.90 3.33 2.82 2.43 2.13 1.86 1.58 1.29 1.02 0.84 0.77 0.79 0.84 0.86 0.84 0.78 0.71 0.65 0.62 0.61 0.61 0.60 0.59 0.56 0.52 0.50 0.50 0.57 0.71 0.86 0.98 0.99 0.90 0.74 0.63 0.63 0.77 0.98 1.14 1.15 1.00 0.77 0.56 0.47 0.48 0.52 0.50 0.35 0.12 0.00 0.00 0.00 0.14 0.42 0.64 0.77 0.86 0.98 1.22 1.62 2.13 2.67 3.14 3.49 3.75 3.98 4.24 4.52 4.77 4.87 4.76 4.41 3.90 3.33 2.82 2.43 2.13 1.86 1.58 1.29 1.02 0.84 0.77 0.79 0.84 0.86 0.84 0.78 0.71 0.65 0.62 0.61 0.61 0.60 0.59 0.56 0.52 0.50 0.50 0.57 0.71 0.86 0.98 0.99 0.90 0.74 0.63 0.63 0.77 0.98 1.14 1.15 1.00 0.77 0.56 0.47 0.48 0.52 0.50 0.35 32.5 + 35.0 0.50 0.27 0.07 0.00 0.10 0.35 0.63 0.86 0.98 1.04 1.14 1.38 1.78 2.31 2.87 3.36 3.77 4.10 4.43 4.80 5.16 5.45 5.52 5.33 4.87 4.26 3.63 3.09 2.69 2.36 2.06 1.75 1.42 1.16 1.00 0.95 0.98 0.99 0.94 0.81 0.64 0.48 0.37 0.31 0.31 0.31 0.32 0.31 0.30 0.30 0.32 0.38 0.50 0.65 0.80 0.88 0.87 0.75 0.60 0.51 0.54 0.69 0.89 1.02 1.00 0.84 0.63 0.48 0.45 0.53 0.62 0.63 0.50 0.27 0.07 0.00 0.10 0.35 0.63 0.86 0.98 1.04 1.14 1.38 1.78 2.31 2.87 3.36 3.77 4.10 4.43 4.80 5.16 5.45 5.52 5.33 4.87 4.26 3.63 3.09 2.69 2.36 2.06 1.75 1.42 1.16 1.00 0.95 0.98 0.99 0.94 0.81 0.64 0.48 0.37 0.31 0.31 0.31 0.32 0.31 0.30 0.30 0.32 0.38 0.50 0.65 0.80 0.88 0.87 0.75 0.60 0.51 0.54 0.69 0.89 1.02 1.00 0.84 0.63 0.48 0.45 0.53 0.62 0.63 0.50 35.0 + 37.5 0.57 0.38 0.21 0.18 0.33 0.60 0.90 1.11 1.22 1.25 1.32 1.53 1.89 2.37 2.87 3.32 3.70 4.03 4.38 4.78 5.17 5.44 5.47 5.21 4.69 4.05 3.43 2.94 2.59 2.31 2.04 1.74 1.44 1.21 1.09 1.09 1.13 1.14 1.05 0.86 0.63 0.42 0.29 0.22 0.21 0.21 0.20 0.17 0.15 0.15 0.19 0.28 0.42 0.58 0.71 0.76 0.71 0.58 0.43 0.37 0.43 0.60 0.80 0.91 0.87 0.70 0.50 0.38 0.39 0.52 0.65 0.68 0.57 0.38 0.21 0.18 0.33 0.60 0.90 1.11 1.22 1.25 1.32 1.53 1.89 2.37 2.87 3.32 3.70 4.03 4.38 4.78 5.17 5.44 5.47 5.21 4.69 4.05 3.43 2.94 2.59 2.31 2.04 1.74 1.44 1.21 1.09 1.09 1.13 1.14 1.05 0.86 0.63 0.42 0.29 0.22 0.21 0.21 0.20 0.17 0.15 0.15 0.19 0.28 0.42 0.58 0.71 0.76 0.71 0.58 0.43 0.37 0.43 0.60 0.80 0.91 0.87 0.70 0.50 0.38 0.39 0.52 0.65 0.68 0.57 37.5 + 40.0 0.60 0.46 0.35 0.37 0.56 0.86 1.15 1.34 1.41 1.40 1.42 1.56 1.85 2.23 2.62 2.96 3.24 3.49 3.79 4.14 4.50 4.72 4.71 4.42 3.90 3.30 2.76 2.38 2.15 1.98 1.79 1.56 1.32 1.13 1.07 1.11 1.18 1.21 1.12 0.94 0.71 0.52 0.39 0.33 0.32 0.30 0.27 0.21 0.15 0.12 0.15 0.24 0.38 0.54 0.65 0.67 0.58 0.42 0.29 0.26 0.36 0.56 0.77 0.87 0.81 0.63 0.43 0.33 0.36 0.49 0.63 0.68 0.60 0.46 0.35 0.37 0.56 0.86 1.15 1.34 1.41 1.40 1.42 1.56 1.85 2.23 2.62 2.96 3.24 3.49 3.79 4.14 4.50 4.72 4.71 4.42 3.90 3.30 2.76 2.38 2.15 1.98 1.79 1.56 1.32 1.13 1.07 1.11 1.18 1.21 1.12 0.94 0.71 0.52 0.39 0.33 0.32 0.30 0.27 0.21 0.15 0.12 0.15 0.24 0.38 0.54 0.65 0.67 0.58 0.42 0.29 0.26 0.36 0.56 0.77 0.87 0.81 0.63 0.43 0.33 0.36 0.49 0.63 0.68 0.60 40.0 + 42.5 0.64 0.54 0.49 0.56 0.78 1.07 1.33 1.47 1.47 1.40 1.36 1.42 1.61 1.88 2.14 2.33 2.47 2.60 2.80 3.08 3.36 3.54 3.50 3.22 2.75 2.24 1.84 1.61 1.51 1.48 1.40 1.26 1.08 0.94 0.91 0.98 1.08 1.14 1.11 0.98 0.81 0.66 0.57 0.53 0.53 0.51 0.46 0.38 0.28 0.22 0.21 0.28 0.41 0.55 0.64 0.63 0.51 0.34 0.21 0.21 0.36 0.60 0.83 0.93 0.86 0.67 0.47 0.37 0.39 0.52 0.65 0.70 0.64 0.54 0.49 0.56 0.78 1.07 1.33 1.47 1.47 1.40 1.36 1.42 1.61 1.88 2.14 2.33 2.47 2.60 2.80 3.08 3.36 3.54 3.50 3.22 2.75 2.24 1.84 1.61 1.51 1.48 1.40 1.26 1.08 0.94 0.91 0.98 1.08 1.14 1.11 0.98 0.81 0.66 0.57 0.53 0.53 0.51 0.46 0.38 0.28 0.22 0.21 0.28 0.41 0.55 0.64 0.63 0.51 0.34 0.21 0.21 0.36 0.60 0.83 0.93 0.86 0.67 0.47 0.37 0.39 0.52 0.65 0.70 0.64 42.5 + 45.0 0.74 0.66 0.64 0.74 0.95 1.19 1.38 1.43 1.36 1.22 1.12 1.12 1.23 1.39 1.52 1.58 1.58 1.60 1.70 1.90 2.13 2.27 2.23 1.98 1.60 1.21 0.94 0.85 0.90 0.98 1.01 0.94 0.82 0.71 0.68 0.74 0.85 0.94 0.97 0.93 0.83 0.74 0.68 0.68 0.69 0.70 0.67 0.59 0.49 0.39 0.35 0.39 0.49 0.62 0.69 0.65 0.51 0.33 0.22 0.26 0.45 0.73 0.98 1.09 1.02 0.84 0.64 0.53 0.55 0.66 0.76 0.79 0.74 0.66 0.64 0.74 0.95 1.19 1.38 1.43 1.36 1.22 1.12 1.12 1.23 1.39 1.52 1.58 1.58 1.60 1.70 1.90 2.13 2.27 2.23 1.98 1.60 1.21 0.94 0.85 0.90 0.98 1.01 0.94 0.82 0.71 0.68 0.74 0.85 0.94 0.97 0.93 0.83 0.74 0.68 0.68 0.69 0.70 0.67 0.59 0.49 0.39 0.35 0.39 0.49 0.62 0.69 0.65 0.51 0.33 0.22 0.26 0.45 0.73 0.98 1.09 1.02 0.84 0.64 0.53 0.55 0.66 0.76 0.79 0.74 45.0 + 47.5 0.90 0.81 0.78 0.86 1.02 1.19 1.28 1.24 1.09 0.90 0.77 0.73 0.79 0.88 0.92 0.88 0.79 0.73 0.76 0.91 1.10 1.23 1.22 1.03 0.74 0.46 0.30 0.32 0.45 0.62 0.72 0.72 0.63 0.52 0.46 0.48 0.57 0.68 0.76 0.77 0.75 0.70 0.67 0.68 0.73 0.78 0.80 0.76 0.67 0.57 0.50 0.50 0.58 0.69 0.76 0.72 0.59 0.43 0.35 0.42 0.66 0.97 1.24 1.36 1.30 1.13 0.94 0.84 0.85 0.92 0.98 0.98 0.90 0.81 0.78 0.86 1.02 1.19 1.28 1.24 1.09 0.90 0.77 0.73 0.79 0.88 0.92 0.88 0.79 0.73 0.76 0.91 1.10 1.23 1.22 1.03 0.74 0.46 0.30 0.32 0.45 0.62 0.72 0.72 0.63 0.52 0.46 0.48 0.57 0.68 0.76 0.77 0.75 0.70 0.67 0.68 0.73 0.78 0.80 0.76 0.67 0.57 0.50 0.50 0.58 0.69 0.76 0.72 0.59 0.43 0.35 0.42 0.66 0.97 1.24 1.36 1.30 1.13 0.94 0.84 0.85 0.92 0.98 0.98 0.90 47.5 + 50.0 1.06 0.93 0.86 0.88 0.97 1.05 1.04 0.93 0.73 0.53 0.40 0.37 0.42 0.47 0.46 0.36 0.22 0.12 0.14 0.27 0.45 0.60 0.61 0.49 0.27 0.08 0.00 0.06 0.24 0.45 0.58 0.61 0.53 0.41 0.31 0.29 0.33 0.43 0.52 0.58 0.59 0.56 0.54 0.55 0.63 0.73 0.82 0.85 0.80 0.70 0.61 0.59 0.65 0.76 0.84 0.83 0.75 0.65 0.62 0.75 1.02 1.35 1.62 1.74 1.69 1.52 1.35 1.24 1.23 1.26 1.26 1.19 1.06 0.93 0.86 0.88 0.97 1.05 1.04 0.93 0.73 0.53 0.40 0.37 0.42 0.47 0.46 0.36 0.22 0.12 0.14 0.27 0.45 0.60 0.61 0.49 0.27 0.08 0.00 0.06 0.24 0.45 0.58 0.61 0.53 0.41 0.31 0.29 0.33 0.43 0.52 0.58 0.59 0.56 0.54 0.55 0.63 0.73 0.82 0.85 0.80 0.70 0.61 0.59 0.65 0.76 0.84 0.83 0.75 0.65 0.62 0.75 1.02 1.35 1.62 1.74 1.69 1.52 1.35 1.24 1.23 1.26 1.26 1.19 1.06 50.0 + 52.5 1.13 0.94 0.81 0.77 0.78 0.79 0.72 0.57 0.38 0.21 0.12 0.13 0.19 0.23 0.19 0.07 0.00 0.00 0.00 0.00 0.17 0.33 0.37 0.28 0.12 0.00 0.00 0.03 0.21 0.40 0.54 0.57 0.50 0.38 0.26 0.19 0.20 0.26 0.35 0.42 0.43 0.40 0.37 0.39 0.48 0.63 0.78 0.88 0.87 0.79 0.69 0.65 0.70 0.82 0.95 1.01 1.01 1.00 1.06 1.25 1.54 1.87 2.13 2.22 2.16 1.98 1.80 1.68 1.61 1.57 1.49 1.34 1.13 0.94 0.81 0.77 0.78 0.79 0.72 0.57 0.38 0.21 0.12 0.13 0.19 0.23 0.19 0.07 0.00 0.00 0.00 0.00 0.17 0.33 0.37 0.28 0.12 0.00 0.00 0.03 0.21 0.40 0.54 0.57 0.50 0.38 0.26 0.19 0.20 0.26 0.35 0.42 0.43 0.40 0.37 0.39 0.48 0.63 0.78 0.88 0.87 0.79 0.69 0.65 0.70 0.82 0.95 1.01 1.01 1.00 1.06 1.25 1.54 1.87 2.13 2.22 2.16 1.98 1.80 1.68 1.61 1.57 1.49 1.34 1.13 52.5 + 55.0 1.05 0.80 0.62 0.53 0.50 0.46 0.37 0.23 0.08 0.00 0.00 0.03 0.11 0.15 0.09 0.00 0.00 0.00 0.00 0.00 0.13 0.27 0.30 0.24 0.12 0.02 0.01 0.09 0.24 0.40 0.51 0.54 0.48 0.37 0.26 0.18 0.16 0.20 0.28 0.33 0.34 0.30 0.27 0.28 0.39 0.57 0.77 0.91 0.94 0.88 0.79 0.75 0.81 0.96 1.15 1.30 1.42 1.52 1.67 1.91 2.21 2.51 2.71 2.75 2.64 2.44 2.22 2.04 1.90 1.77 1.58 1.33 1.05 0.80 0.62 0.53 0.50 0.46 0.37 0.23 0.08 0.00 0.00 0.03 0.11 0.15 0.09 0.00 0.00 0.00 0.00 0.00 0.13 0.27 0.30 0.24 0.12 0.02 0.01 0.09 0.24 0.40 0.51 0.54 0.48 0.37 0.26 0.18 0.16 0.20 0.28 0.33 0.34 0.30 0.27 0.28 0.39 0.57 0.77 0.91 0.94 0.88 0.79 0.75 0.81 0.96 1.15 1.30 1.42 1.52 1.67 1.91 2.21 2.51 2.71 2.75 2.64 2.44 2.22 2.04 1.90 1.77 1.58 1.33 1.05 55.0 + 57.5 0.82 0.53 0.32 0.22 0.17 0.13 0.06 0.00 0.00 0.00 0.00 0.01 0.12 0.14 0.07 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.26 0.19 0.10 0.04 0.05 0.12 0.24 0.35 0.42 0.44 0.41 0.34 0.26 0.20 0.19 0.22 0.28 0.33 0.34 0.31 0.28 0.31 0.43 0.63 0.84 1.01 1.07 1.03 0.97 0.96 1.05 1.25 1.50 1.75 1.97 2.18 2.40 2.65 2.92 3.15 3.26 3.22 3.04 2.78 2.51 2.26 2.03 1.79 1.50 1.17 0.82 0.53 0.32 0.22 0.17 0.13 0.06 0.00 0.00 0.00 0.00 0.01 0.12 0.14 0.07 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.26 0.19 0.10 0.04 0.05 0.12 0.24 0.35 0.42 0.44 0.41 0.34 0.26 0.20 0.19 0.22 0.28 0.33 0.34 0.31 0.28 0.31 0.43 0.63 0.84 1.01 1.07 1.03 0.97 0.96 1.05 1.25 1.50 1.75 1.97 2.18 2.40 2.65 2.92 3.15 3.26 3.22 3.04 2.78 2.51 2.26 2.03 1.79 1.50 1.17 0.82 57.5 + 60.0 0.54 0.23 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.12 0.12 0.04 0.00 0.00 0.00 0.00 0.03 0.15 0.19 0.15 0.06 0.00 0.00 0.00 0.08 0.16 0.23 0.26 0.27 0.26 0.24 0.23 0.22 0.23 0.27 0.33 0.38 0.40 0.41 0.41 0.47 0.60 0.80 1.01 1.19 1.28 1.29 1.28 1.33 1.47 1.72 2.03 2.34 2.63 2.88 3.12 3.33 3.52 3.64 3.64 3.51 3.26 2.94 2.61 2.30 1.99 1.66 1.30 0.91 0.54 0.23 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.12 0.12 0.04 0.00 0.00 0.00 0.00 0.03 0.15 0.19 0.15 0.06 0.00 0.00 0.00 0.08 0.16 0.23 0.26 0.27 0.26 0.24 0.23 0.22 0.23 0.27 0.33 0.38 0.40 0.41 0.41 0.47 0.60 0.80 1.01 1.19 1.28 1.29 1.28 1.33 1.47 1.72 2.03 2.34 2.63 2.88 3.12 3.33 3.52 3.64 3.64 3.51 3.26 2.94 2.61 2.30 1.99 1.66 1.30 0.91 0.54 60.0 + 62.5 0.31 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.04 0.00 0.00 0.00 0.00 0.00 0.01 0.09 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.07 0.07 0.07 0.08 0.12 0.15 0.19 0.24 0.29 0.36 0.43 0.50 0.55 0.61 0.70 0.84 1.04 1.25 1.43 1.56 1.64 1.71 1.83 2.04 2.33 2.66 2.99 3.28 3.51 3.68 3.81 3.87 3.86 3.74 3.52 3.22 2.87 2.52 2.17 1.82 1.46 1.07 0.68 0.31 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.04 0.00 0.00 0.00 0.00 0.00 0.01 0.09 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.07 0.07 0.07 0.08 0.12 0.15 0.19 0.24 0.29 0.36 0.43 0.50 0.55 0.61 0.70 0.84 1.04 1.25 1.43 1.56 1.64 1.71 1.83 2.04 2.33 2.66 2.99 3.28 3.51 3.68 3.81 3.87 3.86 3.74 3.52 3.22 2.87 2.52 2.17 1.82 1.46 1.07 0.68 0.31 62.5 + 65.0 0.26 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.13 0.19 0.27 0.36 0.47 0.59 0.70 0.82 0.95 1.11 1.30 1.50 1.70 1.87 2.03 2.19 2.39 2.65 2.96 3.27 3.55 3.77 3.91 3.97 3.96 3.88 3.73 3.52 3.25 2.94 2.60 2.27 1.94 1.62 1.29 0.94 0.58 0.26 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.13 0.19 0.27 0.36 0.47 0.59 0.70 0.82 0.95 1.11 1.30 1.50 1.70 1.87 2.03 2.19 2.39 2.65 2.96 3.27 3.55 3.77 3.91 3.97 3.96 3.88 3.73 3.52 3.25 2.94 2.60 2.27 1.94 1.62 1.29 0.94 0.58 0.26 65.0 + 67.5 0.41 0.18 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.11 0.20 0.33 0.49 0.67 0.86 1.04 1.20 1.37 1.55 1.74 1.95 2.16 2.38 2.62 2.89 3.17 3.45 3.70 3.88 3.98 3.99 3.91 3.75 3.55 3.30 3.04 2.76 2.48 2.21 1.95 1.71 1.47 1.22 0.96 0.68 0.41 0.18 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.11 0.20 0.33 0.49 0.67 0.86 1.04 1.20 1.37 1.55 1.74 1.95 2.16 2.38 2.62 2.89 3.17 3.45 3.70 3.88 3.98 3.99 3.91 3.75 3.55 3.30 3.04 2.76 2.48 2.21 1.95 1.71 1.47 1.22 0.96 0.68 0.41 67.5 + 70.0 0.72 0.51 0.33 0.20 0.11 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.13 0.30 0.53 0.79 1.04 1.27 1.46 1.62 1.78 1.95 2.15 2.38 2.64 2.92 3.20 3.46 3.67 3.82 3.88 3.85 3.73 3.52 3.26 2.98 2.69 2.42 2.18 1.97 1.80 1.65 1.53 1.41 1.28 1.13 0.93 0.72 0.51 0.33 0.20 0.11 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.13 0.30 0.53 0.79 1.04 1.27 1.46 1.62 1.78 1.95 2.15 2.38 2.64 2.92 3.20 3.46 3.67 3.82 3.88 3.85 3.73 3.52 3.26 2.98 2.69 2.42 2.18 1.97 1.80 1.65 1.53 1.41 1.28 1.13 0.93 0.72 70.0 + 72.5 1.08 0.88 0.69 0.53 0.40 0.29 0.19 0.09 0.03 0.00 0.01 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.23 0.27 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.34 0.63 0.95 1.26 1.53 1.73 1.88 2.00 2.13 2.29 2.50 2.74 3.01 3.25 3.45 3.57 3.59 3.53 3.39 3.19 2.92 2.63 2.32 2.04 1.80 1.62 1.49 1.43 1.40 1.41 1.43 1.42 1.37 1.25 1.08 0.88 0.69 0.53 0.40 0.29 0.19 0.09 0.03 0.00 0.01 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.23 0.27 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.34 0.63 0.95 1.26 1.53 1.73 1.88 2.00 2.13 2.29 2.50 2.74 3.01 3.25 3.45 3.57 3.59 3.53 3.39 3.19 2.92 2.63 2.32 2.04 1.80 1.62 1.49 1.43 1.40 1.41 1.43 1.42 1.37 1.25 1.08 72.5 + 75.0 1.37 1.19 0.99 0.82 0.67 0.54 0.41 0.30 0.23 0.21 0.23 0.25 0.21 0.11 0.00 0.00 0.00 0.08 0.29 0.46 0.52 0.43 0.26 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.22 0.48 0.81 1.17 1.51 1.80 2.00 2.12 2.19 2.25 2.33 2.47 2.66 2.87 3.04 3.15 3.16 3.07 2.92 2.71 2.49 2.24 1.99 1.73 1.49 1.30 1.17 1.11 1.13 1.22 1.34 1.47 1.56 1.58 1.52 1.37 1.19 0.99 0.82 0.67 0.54 0.41 0.30 0.23 0.21 0.23 0.25 0.21 0.11 0.00 0.00 0.00 0.08 0.29 0.46 0.52 0.43 0.26 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.22 0.48 0.81 1.17 1.51 1.80 2.00 2.12 2.19 2.25 2.33 2.47 2.66 2.87 3.04 3.15 3.16 3.07 2.92 2.71 2.49 2.24 1.99 1.73 1.49 1.30 1.17 1.11 1.13 1.22 1.34 1.47 1.56 1.58 1.52 1.37 75.0 + 77.5 1.54 1.37 1.20 1.03 0.88 0.74 0.59 0.47 0.40 0.41 0.47 0.52 0.51 0.41 0.26 0.15 0.15 0.28 0.50 0.69 0.76 0.68 0.50 0.29 0.13 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.27 0.49 0.75 1.07 1.41 1.75 2.02 2.21 2.29 2.29 2.26 2.24 2.27 2.38 2.51 2.62 2.64 2.55 2.37 2.15 1.94 1.76 1.60 1.46 1.29 1.11 0.95 0.85 0.83 0.91 1.07 1.28 1.48 1.63 1.70 1.66 1.54 1.37 1.20 1.03 0.88 0.74 0.59 0.47 0.40 0.41 0.47 0.52 0.51 0.41 0.26 0.15 0.15 0.28 0.50 0.69 0.76 0.68 0.50 0.29 0.13 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.27 0.49 0.75 1.07 1.41 1.75 2.02 2.21 2.29 2.29 2.26 2.24 2.27 2.38 2.51 2.62 2.64 2.55 2.37 2.15 1.94 1.76 1.60 1.46 1.29 1.11 0.95 0.85 0.83 0.91 1.07 1.28 1.48 1.63 1.70 1.66 1.54 77.5 + 80.0 1.56 1.42 1.29 1.16 1.02 0.86 0.69 0.55 0.49 0.53 0.65 0.76 0.78 0.68 0.49 0.33 0.29 0.40 0.62 0.84 0.92 0.84 0.64 0.40 0.21 0.10 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.18 0.44 0.69 0.91 1.13 1.37 1.63 1.89 2.13 2.28 2.32 2.25 2.11 1.98 1.92 1.94 2.01 2.07 2.02 1.86 1.62 1.37 1.19 1.10 1.09 1.08 1.02 0.90 0.75 0.64 0.62 0.72 0.93 1.19 1.44 1.62 1.69 1.66 1.56 1.42 1.29 1.16 1.02 0.86 0.69 0.55 0.49 0.53 0.65 0.76 0.78 0.68 0.49 0.33 0.29 0.40 0.62 0.84 0.92 0.84 0.64 0.40 0.21 0.10 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.18 0.44 0.69 0.91 1.13 1.37 1.63 1.89 2.13 2.28 2.32 2.25 2.11 1.98 1.92 1.94 2.01 2.07 2.02 1.86 1.62 1.37 1.19 1.10 1.09 1.08 1.02 0.90 0.75 0.64 0.62 0.72 0.93 1.19 1.44 1.62 1.69 1.66 1.56 80.0 + 82.5 1.48 1.39 1.30 1.21 1.08 0.90 0.70 0.53 0.47 0.55 0.72 0.89 0.95 0.84 0.61 0.39 0.30 0.40 0.62 0.85 0.95 0.87 0.65 0.40 0.20 0.10 0.07 0.03 0.00 0.00 0.00 0.00 0.00 0.19 0.57 0.95 1.24 1.43 1.54 1.63 1.74 1.89 2.05 2.15 2.15 2.02 1.80 1.58 1.44 1.41 1.46 1.50 1.43 1.24 0.96 0.71 0.58 0.60 0.72 0.85 0.89 0.81 0.65 0.49 0.45 0.55 0.78 1.08 1.35 1.53 1.60 1.57 1.48 1.39 1.30 1.21 1.08 0.90 0.70 0.53 0.47 0.55 0.72 0.89 0.95 0.84 0.61 0.39 0.30 0.40 0.62 0.85 0.95 0.87 0.65 0.40 0.20 0.10 0.07 0.03 0.00 0.00 0.00 0.00 0.00 0.19 0.57 0.95 1.24 1.43 1.54 1.63 1.74 1.89 2.05 2.15 2.15 2.02 1.80 1.58 1.44 1.41 1.46 1.50 1.43 1.24 0.96 0.71 0.58 0.60 0.72 0.85 0.89 0.81 0.65 0.49 0.45 0.55 0.78 1.08 1.35 1.53 1.60 1.57 1.48 82.5 + 85.0 1.36 1.31 1.28 1.22 1.10 0.89 0.65 0.45 0.38 0.49 0.72 0.93 1.01 0.88 0.61 0.34 0.20 0.27 0.50 0.75 0.87 0.79 0.57 0.31 0.14 0.08 0.11 0.13 0.09 0.00 0.00 0.00 0.18 0.58 1.07 1.52 1.82 1.93 1.88 1.76 1.68 1.68 1.76 1.82 1.80 1.64 1.38 1.11 0.93 0.89 0.96 1.02 0.97 0.77 0.49 0.24 0.15 0.27 0.51 0.75 0.86 0.79 0.59 0.40 0.31 0.41 0.66 0.97 1.25 1.42 1.47 1.43 1.36 1.31 1.28 1.22 1.10 0.89 0.65 0.45 0.38 0.49 0.72 0.93 1.01 0.88 0.61 0.34 0.20 0.27 0.50 0.75 0.87 0.79 0.57 0.31 0.14 0.08 0.11 0.13 0.09 0.00 0.00 0.00 0.18 0.58 1.07 1.52 1.82 1.93 1.88 1.76 1.68 1.68 1.76 1.82 1.80 1.64 1.38 1.11 0.93 0.89 0.96 1.02 0.97 0.77 0.49 0.24 0.15 0.27 0.51 0.75 0.86 0.79 0.59 0.40 0.31 0.41 0.66 0.97 1.25 1.42 1.47 1.43 1.36 85.0 + 87.5 1.26 1.25 1.26 1.23 1.10 0.87 0.58 0.35 0.28 0.40 0.66 0.90 0.99 0.85 0.54 0.22 0.04 0.10 0.33 0.59 0.73 0.67 0.47 0.24 0.11 0.13 0.25 0.36 0.38 0.32 0.27 0.33 0.59 1.04 1.56 2.01 2.26 2.25 2.02 1.71 1.44 1.31 1.30 1.34 1.32 1.17 0.92 0.65 0.49 0.50 0.61 0.72 0.71 0.53 0.24 0.00 0.00 0.11 0.43 0.73 0.88 0.81 0.58 0.34 0.23 0.32 0.57 0.89 1.16 1.32 1.35 1.31 1.26 1.25 1.26 1.23 1.10 0.87 0.58 0.35 0.28 0.40 0.66 0.90 0.99 0.85 0.54 0.22 0.04 0.10 0.33 0.59 0.73 0.67 0.47 0.24 0.11 0.13 0.25 0.36 0.38 0.32 0.27 0.33 0.59 1.04 1.56 2.01 2.26 2.25 2.02 1.71 1.44 1.31 1.30 1.34 1.32 1.17 0.92 0.65 0.49 0.50 0.61 0.72 0.71 0.53 0.24 0.00 0.00 0.11 0.43 0.73 0.88 0.81 0.58 0.34 0.23 0.32 0.57 0.89 1.16 1.32 1.35 1.31 1.26 87.5 + 90.0 1.22 1.24 1.28 1.25 1.12 0.86 0.55 0.30 0.22 0.34 0.61 0.85 0.93 0.78 0.46 0.12 0.00 0.00 0.21 0.49 0.65 0.62 0.45 0.28 0.22 0.31 0.52 0.71 0.81 0.80 0.77 0.82 1.05 1.45 1.91 2.28 2.42 2.28 1.91 1.45 1.05 0.82 0.77 0.80 0.81 0.71 0.52 0.31 0.22 0.28 0.45 0.62 0.65 0.49 0.21 0.00 0.00 0.12 0.46 0.78 0.93 0.85 0.61 0.34 0.22 0.30 0.55 0.86 1.12 1.25 1.28 1.24 1.22 1.24 1.28 1.25 1.12 0.86 0.55 0.30 0.22 0.34 0.61 0.85 0.93 0.78 0.46 0.12 0.00 0.00 0.21 0.49 0.65 0.62 0.45 0.28 0.22 0.31 0.52 0.71 0.81 0.80 0.77 0.82 1.05 1.45 1.91 2.28 2.42 2.28 1.91 1.45 1.05 0.82 0.77 0.80 0.81 0.71 0.52 0.31 0.22 0.28 0.45 0.62 0.65 0.49 0.21 0.00 0.00 0.12 0.46 0.78 0.93 0.85 0.61 0.34 0.22 0.30 0.55 0.86 1.12 1.25 1.28 1.24 1.22 90.0 + + 70.0 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.82 ) PHI2 = 70. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.0 + 2.5 0.65 0.85 1.07 1.29 1.54 1.79 2.04 2.22 2.30 2.25 2.09 1.86 1.61 1.36 1.14 0.92 0.71 0.54 0.42 0.37 0.36 0.33 0.23 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.25 0.37 0.41 0.41 0.45 0.55 0.71 0.90 1.12 1.35 1.58 1.82 2.04 2.19 2.23 2.16 1.99 1.76 1.51 1.28 1.06 0.85 0.65 0.50 0.42 0.40 0.41 0.39 0.28 0.08 0.00 0.00 0.00 0.00 0.00 0.08 0.26 0.34 0.36 0.35 0.39 0.49 0.65 0.85 1.07 1.29 1.54 1.79 2.04 2.22 2.30 2.25 2.09 1.86 1.61 1.36 1.14 0.92 0.71 0.54 0.42 0.37 0.36 0.33 0.23 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.25 0.37 0.41 0.41 0.45 0.55 0.71 0.90 1.12 1.35 1.58 1.82 2.04 2.19 2.23 2.16 1.99 1.76 1.51 1.28 1.06 0.85 0.65 0.50 0.42 0.40 0.41 0.39 0.28 0.08 0.00 0.00 0.00 0.00 0.00 0.08 0.26 0.34 0.36 0.35 0.39 0.49 0.65 2.5 + 5.0 0.51 0.71 0.93 1.18 1.46 1.77 2.08 2.33 2.45 2.43 2.27 2.01 1.73 1.45 1.20 0.96 0.75 0.56 0.43 0.36 0.35 0.34 0.28 0.15 0.00 0.00 0.00 0.00 0.00 0.13 0.33 0.45 0.49 0.49 0.50 0.56 0.69 0.88 1.11 1.36 1.62 1.86 2.07 2.19 2.20 2.10 1.90 1.65 1.39 1.13 0.89 0.68 0.51 0.41 0.39 0.43 0.48 0.49 0.40 0.23 0.02 0.00 0.00 0.00 0.05 0.22 0.33 0.34 0.30 0.26 0.27 0.36 0.51 0.71 0.93 1.18 1.46 1.77 2.08 2.33 2.45 2.43 2.27 2.01 1.73 1.45 1.20 0.96 0.75 0.56 0.43 0.36 0.35 0.34 0.28 0.15 0.00 0.00 0.00 0.00 0.00 0.13 0.33 0.45 0.49 0.49 0.50 0.56 0.69 0.88 1.11 1.36 1.62 1.86 2.07 2.19 2.20 2.10 1.90 1.65 1.39 1.13 0.89 0.68 0.51 0.41 0.39 0.43 0.48 0.49 0.40 0.23 0.02 0.00 0.00 0.00 0.05 0.22 0.33 0.34 0.30 0.26 0.27 0.36 0.51 5.0 + 7.5 0.34 0.52 0.73 0.99 1.32 1.69 2.08 2.40 2.60 2.61 2.46 2.20 1.89 1.59 1.32 1.08 0.87 0.68 0.53 0.46 0.44 0.45 0.44 0.36 0.21 0.04 0.00 0.00 0.05 0.24 0.44 0.57 0.61 0.58 0.54 0.55 0.63 0.81 1.04 1.32 1.60 1.85 2.04 2.12 2.09 1.96 1.75 1.48 1.20 0.93 0.67 0.47 0.33 0.29 0.35 0.45 0.55 0.58 0.50 0.34 0.17 0.05 0.04 0.13 0.26 0.36 0.38 0.32 0.22 0.15 0.13 0.20 0.34 0.52 0.73 0.99 1.32 1.69 2.08 2.40 2.60 2.61 2.46 2.20 1.89 1.59 1.32 1.08 0.87 0.68 0.53 0.46 0.44 0.45 0.44 0.36 0.21 0.04 0.00 0.00 0.05 0.24 0.44 0.57 0.61 0.58 0.54 0.55 0.63 0.81 1.04 1.32 1.60 1.85 2.04 2.12 2.09 1.96 1.75 1.48 1.20 0.93 0.67 0.47 0.33 0.29 0.35 0.45 0.55 0.58 0.50 0.34 0.17 0.05 0.04 0.13 0.26 0.36 0.38 0.32 0.22 0.15 0.13 0.20 0.34 7.5 + 10.0 0.18 0.32 0.51 0.76 1.10 1.52 1.97 2.37 2.63 2.70 2.58 2.33 2.03 1.74 1.50 1.30 1.11 0.93 0.78 0.69 0.67 0.69 0.71 0.68 0.56 0.39 0.23 0.16 0.22 0.37 0.55 0.69 0.72 0.67 0.57 0.51 0.54 0.68 0.92 1.21 1.51 1.75 1.90 1.94 1.88 1.73 1.52 1.27 1.00 0.73 0.47 0.27 0.17 0.19 0.30 0.46 0.58 0.60 0.50 0.34 0.19 0.12 0.16 0.26 0.38 0.43 0.38 0.27 0.13 0.04 0.02 0.07 0.18 0.32 0.51 0.76 1.10 1.52 1.97 2.37 2.63 2.70 2.58 2.33 2.03 1.74 1.50 1.30 1.11 0.93 0.78 0.69 0.67 0.69 0.71 0.68 0.56 0.39 0.23 0.16 0.22 0.37 0.55 0.69 0.72 0.67 0.57 0.51 0.54 0.68 0.92 1.21 1.51 1.75 1.90 1.94 1.88 1.73 1.52 1.27 1.00 0.73 0.47 0.27 0.17 0.19 0.30 0.46 0.58 0.60 0.50 0.34 0.19 0.12 0.16 0.26 0.38 0.43 0.38 0.27 0.13 0.04 0.02 0.07 0.18 10.0 + 12.5 0.06 0.15 0.28 0.50 0.82 1.25 1.74 2.19 2.51 2.63 2.57 2.37 2.12 1.89 1.71 1.57 1.43 1.28 1.13 1.02 0.98 1.00 1.04 1.03 0.92 0.73 0.51 0.37 0.37 0.48 0.66 0.79 0.82 0.74 0.58 0.45 0.42 0.53 0.77 1.07 1.37 1.59 1.70 1.70 1.61 1.46 1.27 1.07 0.83 0.58 0.33 0.15 0.07 0.13 0.28 0.45 0.55 0.52 0.38 0.20 0.07 0.05 0.14 0.28 0.39 0.41 0.32 0.18 0.05 0.00 0.00 0.00 0.06 0.15 0.28 0.50 0.82 1.25 1.74 2.19 2.51 2.63 2.57 2.37 2.12 1.89 1.71 1.57 1.43 1.28 1.13 1.02 0.98 1.00 1.04 1.03 0.92 0.73 0.51 0.37 0.37 0.48 0.66 0.79 0.82 0.74 0.58 0.45 0.42 0.53 0.77 1.07 1.37 1.59 1.70 1.70 1.61 1.46 1.27 1.07 0.83 0.58 0.33 0.15 0.07 0.13 0.28 0.45 0.55 0.52 0.38 0.20 0.07 0.05 0.14 0.28 0.39 0.41 0.32 0.18 0.05 0.00 0.00 0.00 0.06 12.5 + 15.0 0.00 0.01 0.08 0.24 0.53 0.95 1.43 1.90 2.25 2.43 2.42 2.30 2.13 1.99 1.89 1.83 1.74 1.61 1.45 1.31 1.24 1.26 1.31 1.30 1.19 0.97 0.72 0.52 0.47 0.56 0.73 0.87 0.90 0.79 0.59 0.42 0.35 0.44 0.67 0.97 1.26 1.45 1.52 1.48 1.37 1.24 1.09 0.93 0.73 0.51 0.28 0.11 0.06 0.14 0.30 0.46 0.51 0.42 0.22 0.01 0.00 0.00 0.07 0.24 0.35 0.35 0.25 0.10 0.00 0.00 0.00 0.00 0.00 0.01 0.08 0.24 0.53 0.95 1.43 1.90 2.25 2.43 2.42 2.30 2.13 1.99 1.89 1.83 1.74 1.61 1.45 1.31 1.24 1.26 1.31 1.30 1.19 0.97 0.72 0.52 0.47 0.56 0.73 0.87 0.90 0.79 0.59 0.42 0.35 0.44 0.67 0.97 1.26 1.45 1.52 1.48 1.37 1.24 1.09 0.93 0.73 0.51 0.28 0.11 0.06 0.14 0.30 0.46 0.51 0.42 0.22 0.01 0.00 0.00 0.07 0.24 0.35 0.35 0.25 0.10 0.00 0.00 0.00 0.00 0.00 15.0 + 17.5 0.00 0.00 0.00 0.02 0.28 0.67 1.14 1.59 1.94 2.13 2.19 2.14 2.07 2.03 2.02 2.01 1.94 1.80 1.62 1.45 1.36 1.37 1.42 1.42 1.31 1.07 0.80 0.58 0.52 0.61 0.78 0.92 0.94 0.82 0.61 0.42 0.35 0.45 0.68 0.99 1.26 1.42 1.46 1.39 1.27 1.14 1.02 0.90 0.73 0.53 0.31 0.16 0.13 0.22 0.38 0.51 0.51 0.36 0.12 0.00 0.00 0.00 0.08 0.27 0.37 0.34 0.21 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.28 0.67 1.14 1.59 1.94 2.13 2.19 2.14 2.07 2.03 2.02 2.01 1.94 1.80 1.62 1.45 1.36 1.37 1.42 1.42 1.31 1.07 0.80 0.58 0.52 0.61 0.78 0.92 0.94 0.82 0.61 0.42 0.35 0.45 0.68 0.99 1.26 1.42 1.46 1.39 1.27 1.14 1.02 0.90 0.73 0.53 0.31 0.16 0.13 0.22 0.38 0.51 0.51 0.36 0.12 0.00 0.00 0.00 0.08 0.27 0.37 0.34 0.21 0.06 0.00 0.00 0.00 0.00 0.00 17.5 + 20.0 0.00 0.00 0.00 0.00 0.11 0.48 0.90 1.31 1.63 1.83 1.92 1.94 1.97 2.02 2.08 2.10 2.03 1.86 1.65 1.45 1.36 1.36 1.41 1.41 1.30 1.07 0.80 0.60 0.54 0.64 0.80 0.94 0.94 0.81 0.61 0.45 0.41 0.54 0.80 1.10 1.36 1.50 1.51 1.43 1.30 1.19 1.08 0.97 0.82 0.62 0.41 0.27 0.26 0.37 0.53 0.64 0.60 0.41 0.16 0.00 0.00 0.04 0.26 0.45 0.52 0.44 0.27 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.48 0.90 1.31 1.63 1.83 1.92 1.94 1.97 2.02 2.08 2.10 2.03 1.86 1.65 1.45 1.36 1.36 1.41 1.41 1.30 1.07 0.80 0.60 0.54 0.64 0.80 0.94 0.94 0.81 0.61 0.45 0.41 0.54 0.80 1.10 1.36 1.50 1.51 1.43 1.30 1.19 1.08 0.97 0.82 0.62 0.41 0.27 0.26 0.37 0.53 0.64 0.60 0.41 0.16 0.00 0.00 0.04 0.26 0.45 0.52 0.44 0.27 0.09 0.00 0.00 0.00 0.00 0.00 20.0 + 22.5 0.00 0.00 0.00 0.00 0.03 0.38 0.77 1.12 1.38 1.55 1.66 1.76 1.87 2.00 2.12 2.15 2.08 1.89 1.66 1.47 1.39 1.41 1.46 1.46 1.33 1.09 0.83 0.64 0.59 0.68 0.83 0.92 0.90 0.76 0.59 0.47 0.49 0.66 0.94 1.24 1.47 1.59 1.60 1.52 1.40 1.30 1.20 1.08 0.93 0.73 0.53 0.42 0.42 0.55 0.72 0.82 0.77 0.58 0.34 0.17 0.18 0.35 0.59 0.76 0.78 0.63 0.40 0.19 0.06 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.38 0.77 1.12 1.38 1.55 1.66 1.76 1.87 2.00 2.12 2.15 2.08 1.89 1.66 1.47 1.39 1.41 1.46 1.46 1.33 1.09 0.83 0.64 0.59 0.68 0.83 0.92 0.90 0.76 0.59 0.47 0.49 0.66 0.94 1.24 1.47 1.59 1.60 1.52 1.40 1.30 1.20 1.08 0.93 0.73 0.53 0.42 0.42 0.55 0.72 0.82 0.77 0.58 0.34 0.17 0.18 0.35 0.59 0.76 0.78 0.63 0.40 0.19 0.06 0.01 0.00 0.00 0.00 22.5 + 25.0 0.00 0.00 0.00 0.00 0.02 0.36 0.71 1.00 1.20 1.33 1.46 1.62 1.82 2.04 2.22 2.29 2.23 2.06 1.86 1.73 1.69 1.74 1.79 1.75 1.57 1.30 1.01 0.81 0.75 0.80 0.88 0.90 0.83 0.68 0.53 0.47 0.54 0.74 1.01 1.28 1.48 1.58 1.58 1.52 1.43 1.34 1.25 1.14 0.99 0.80 0.63 0.54 0.59 0.74 0.92 1.02 0.97 0.79 0.57 0.46 0.52 0.72 0.96 1.10 1.06 0.86 0.58 0.35 0.21 0.15 0.10 0.01 0.00 0.00 0.00 0.00 0.02 0.36 0.71 1.00 1.20 1.33 1.46 1.62 1.82 2.04 2.22 2.29 2.23 2.06 1.86 1.73 1.69 1.74 1.79 1.75 1.57 1.30 1.01 0.81 0.75 0.80 0.88 0.90 0.83 0.68 0.53 0.47 0.54 0.74 1.01 1.28 1.48 1.58 1.58 1.52 1.43 1.34 1.25 1.14 0.99 0.80 0.63 0.54 0.59 0.74 0.92 1.02 0.97 0.79 0.57 0.46 0.52 0.72 0.96 1.10 1.06 0.86 0.58 0.35 0.21 0.15 0.10 0.01 0.00 25.0 + 27.5 0.00 0.00 0.00 0.00 0.08 0.41 0.72 0.94 1.09 1.19 1.33 1.56 1.86 2.19 2.45 2.58 2.58 2.49 2.39 2.36 2.42 2.50 2.53 2.41 2.13 1.76 1.41 1.16 1.05 1.02 1.01 0.93 0.79 0.61 0.49 0.47 0.57 0.76 0.98 1.18 1.32 1.37 1.37 1.33 1.28 1.22 1.16 1.06 0.93 0.78 0.65 0.61 0.69 0.87 1.06 1.15 1.10 0.94 0.76 0.69 0.79 1.02 1.25 1.36 1.27 1.03 0.74 0.51 0.39 0.34 0.29 0.17 0.00 0.00 0.00 0.00 0.08 0.41 0.72 0.94 1.09 1.19 1.33 1.56 1.86 2.19 2.45 2.58 2.58 2.49 2.39 2.36 2.42 2.50 2.53 2.41 2.13 1.76 1.41 1.16 1.05 1.02 1.01 0.93 0.79 0.61 0.49 0.47 0.57 0.76 0.98 1.18 1.32 1.37 1.37 1.33 1.28 1.22 1.16 1.06 0.93 0.78 0.65 0.61 0.69 0.87 1.06 1.15 1.10 0.94 0.76 0.69 0.79 1.02 1.25 1.36 1.27 1.03 0.74 0.51 0.39 0.34 0.29 0.17 0.00 27.5 + 30.0 0.17 0.00 0.00 0.00 0.19 0.51 0.79 0.97 1.07 1.15 1.31 1.60 2.00 2.43 2.79 3.03 3.13 3.17 3.22 3.34 3.50 3.61 3.58 3.35 2.93 2.44 1.99 1.66 1.47 1.35 1.22 1.04 0.82 0.62 0.51 0.51 0.61 0.75 0.88 0.97 1.01 1.01 0.99 0.97 0.95 0.93 0.90 0.84 0.75 0.64 0.58 0.60 0.72 0.91 1.09 1.17 1.11 0.96 0.81 0.78 0.91 1.15 1.37 1.45 1.34 1.09 0.82 0.64 0.57 0.57 0.53 0.39 0.17 0.00 0.00 0.00 0.19 0.51 0.79 0.97 1.07 1.15 1.31 1.60 2.00 2.43 2.79 3.03 3.13 3.17 3.22 3.34 3.50 3.61 3.58 3.35 2.93 2.44 1.99 1.66 1.47 1.35 1.22 1.04 0.82 0.62 0.51 0.51 0.61 0.75 0.88 0.97 1.01 1.01 0.99 0.97 0.95 0.93 0.90 0.84 0.75 0.64 0.58 0.60 0.72 0.91 1.09 1.17 1.11 0.96 0.81 0.78 0.91 1.15 1.37 1.45 1.34 1.09 0.82 0.64 0.57 0.57 0.53 0.39 0.17 30.0 + 32.5 0.39 0.15 0.04 0.12 0.36 0.68 0.94 1.09 1.15 1.22 1.40 1.74 2.21 2.72 3.17 3.50 3.73 3.92 4.14 4.40 4.66 4.78 4.68 4.31 3.74 3.12 2.58 2.19 1.93 1.72 1.50 1.23 0.95 0.74 0.64 0.65 0.72 0.79 0.80 0.76 0.69 0.62 0.58 0.57 0.57 0.57 0.56 0.53 0.48 0.43 0.43 0.50 0.65 0.85 1.02 1.07 1.00 0.84 0.72 0.72 0.87 1.12 1.34 1.40 1.28 1.05 0.83 0.71 0.72 0.77 0.76 0.63 0.39 0.15 0.04 0.12 0.36 0.68 0.94 1.09 1.15 1.22 1.40 1.74 2.21 2.72 3.17 3.50 3.73 3.92 4.14 4.40 4.66 4.78 4.68 4.31 3.74 3.12 2.58 2.19 1.93 1.72 1.50 1.23 0.95 0.74 0.64 0.65 0.72 0.79 0.80 0.76 0.69 0.62 0.58 0.57 0.57 0.57 0.56 0.53 0.48 0.43 0.43 0.50 0.65 0.85 1.02 1.07 1.00 0.84 0.72 0.72 0.87 1.12 1.34 1.40 1.28 1.05 0.83 0.71 0.72 0.77 0.76 0.63 0.39 32.5 + 35.0 0.58 0.34 0.24 0.34 0.60 0.92 1.18 1.31 1.34 1.39 1.57 1.92 2.41 2.96 3.45 3.84 4.15 4.46 4.81 5.19 5.51 5.62 5.44 4.95 4.27 3.56 2.97 2.55 2.27 2.02 1.74 1.42 1.13 0.92 0.85 0.87 0.92 0.92 0.83 0.68 0.51 0.38 0.31 0.28 0.29 0.29 0.28 0.25 0.22 0.21 0.25 0.37 0.54 0.74 0.88 0.90 0.81 0.65 0.55 0.58 0.76 1.03 1.23 1.29 1.17 0.96 0.78 0.73 0.80 0.91 0.94 0.81 0.58 0.34 0.24 0.34 0.60 0.92 1.18 1.31 1.34 1.39 1.57 1.92 2.41 2.96 3.45 3.84 4.15 4.46 4.81 5.19 5.51 5.62 5.44 4.95 4.27 3.56 2.97 2.55 2.27 2.02 1.74 1.42 1.13 0.92 0.85 0.87 0.92 0.92 0.83 0.68 0.51 0.38 0.31 0.28 0.29 0.29 0.28 0.25 0.22 0.21 0.25 0.37 0.54 0.74 0.88 0.90 0.81 0.65 0.55 0.58 0.76 1.03 1.23 1.29 1.17 0.96 0.78 0.73 0.80 0.91 0.94 0.81 0.58 35.0 + 37.5 0.72 0.52 0.46 0.59 0.89 1.22 1.47 1.58 1.58 1.60 1.73 2.05 2.51 3.02 3.49 3.87 4.20 4.56 4.97 5.41 5.74 5.82 5.57 5.01 4.28 3.56 3.00 2.62 2.37 2.14 1.86 1.54 1.26 1.09 1.06 1.11 1.15 1.11 0.97 0.76 0.54 0.37 0.28 0.24 0.23 0.21 0.18 0.13 0.09 0.08 0.14 0.27 0.45 0.64 0.75 0.74 0.63 0.48 0.40 0.47 0.68 0.96 1.17 1.22 1.09 0.89 0.74 0.73 0.84 0.98 1.03 0.93 0.72 0.52 0.46 0.59 0.89 1.22 1.47 1.58 1.58 1.60 1.73 2.05 2.51 3.02 3.49 3.87 4.20 4.56 4.97 5.41 5.74 5.82 5.57 5.01 4.28 3.56 3.00 2.62 2.37 2.14 1.86 1.54 1.26 1.09 1.06 1.11 1.15 1.11 0.97 0.76 0.54 0.37 0.28 0.24 0.23 0.21 0.18 0.13 0.09 0.08 0.14 0.27 0.45 0.64 0.75 0.74 0.63 0.48 0.40 0.47 0.68 0.96 1.17 1.22 1.09 0.89 0.74 0.73 0.84 0.98 1.03 0.93 0.72 37.5 + 40.0 0.83 0.68 0.68 0.87 1.20 1.54 1.76 1.83 1.78 1.74 1.81 2.05 2.43 2.85 3.22 3.53 3.81 4.13 4.53 4.96 5.26 5.31 5.03 4.45 3.74 3.09 2.62 2.34 2.18 2.01 1.78 1.51 1.27 1.15 1.16 1.24 1.31 1.28 1.14 0.93 0.72 0.55 0.46 0.42 0.40 0.36 0.29 0.20 0.13 0.09 0.13 0.26 0.44 0.61 0.69 0.66 0.53 0.38 0.34 0.45 0.71 1.02 1.24 1.27 1.14 0.93 0.78 0.77 0.88 1.02 1.08 1.00 0.83 0.68 0.68 0.87 1.20 1.54 1.76 1.83 1.78 1.74 1.81 2.05 2.43 2.85 3.22 3.53 3.81 4.13 4.53 4.96 5.26 5.31 5.03 4.45 3.74 3.09 2.62 2.34 2.18 2.01 1.78 1.51 1.27 1.15 1.16 1.24 1.31 1.28 1.14 0.93 0.72 0.55 0.46 0.42 0.40 0.36 0.29 0.20 0.13 0.09 0.13 0.26 0.44 0.61 0.69 0.66 0.53 0.38 0.34 0.45 0.71 1.02 1.24 1.27 1.14 0.93 0.78 0.77 0.88 1.02 1.08 1.00 0.83 40.0 + 42.5 0.95 0.85 0.91 1.13 1.47 1.78 1.95 1.95 1.83 1.72 1.72 1.87 2.14 2.44 2.69 2.87 3.04 3.28 3.62 3.98 4.24 4.26 3.97 3.44 2.82 2.29 1.95 1.80 1.75 1.68 1.53 1.31 1.12 1.04 1.08 1.19 1.30 1.32 1.24 1.08 0.92 0.79 0.72 0.70 0.68 0.64 0.55 0.43 0.32 0.24 0.25 0.36 0.52 0.67 0.74 0.69 0.54 0.41 0.40 0.57 0.88 1.22 1.45 1.48 1.33 1.10 0.93 0.90 0.99 1.11 1.15 1.08 0.95 0.85 0.91 1.13 1.47 1.78 1.95 1.95 1.83 1.72 1.72 1.87 2.14 2.44 2.69 2.87 3.04 3.28 3.62 3.98 4.24 4.26 3.97 3.44 2.82 2.29 1.95 1.80 1.75 1.68 1.53 1.31 1.12 1.04 1.08 1.19 1.30 1.32 1.24 1.08 0.92 0.79 0.72 0.70 0.68 0.64 0.55 0.43 0.32 0.24 0.25 0.36 0.52 0.67 0.74 0.69 0.54 0.41 0.40 0.57 0.88 1.22 1.45 1.48 1.33 1.10 0.93 0.90 0.99 1.11 1.15 1.08 0.95 42.5 + 45.0 1.10 1.04 1.11 1.34 1.63 1.88 1.97 1.88 1.69 1.51 1.44 1.52 1.70 1.88 2.00 2.05 2.10 2.24 2.48 2.78 2.99 3.00 2.75 2.30 1.80 1.40 1.20 1.18 1.24 1.26 1.18 1.02 0.87 0.80 0.84 0.96 1.09 1.17 1.16 1.09 1.00 0.93 0.90 0.90 0.91 0.90 0.83 0.71 0.58 0.47 0.45 0.53 0.67 0.81 0.87 0.81 0.67 0.57 0.60 0.83 1.19 1.57 1.82 1.84 1.68 1.44 1.24 1.18 1.22 1.29 1.30 1.23 1.10 1.04 1.11 1.34 1.63 1.88 1.97 1.88 1.69 1.51 1.44 1.52 1.70 1.88 2.00 2.05 2.10 2.24 2.48 2.78 2.99 3.00 2.75 2.30 1.80 1.40 1.20 1.18 1.24 1.26 1.18 1.02 0.87 0.80 0.84 0.96 1.09 1.17 1.16 1.09 1.00 0.93 0.90 0.90 0.91 0.90 0.83 0.71 0.58 0.47 0.45 0.53 0.67 0.81 0.87 0.81 0.67 0.57 0.60 0.83 1.19 1.57 1.82 1.84 1.68 1.44 1.24 1.18 1.22 1.29 1.30 1.23 1.10 45.0 + 47.5 1.29 1.21 1.26 1.43 1.65 1.79 1.78 1.61 1.36 1.14 1.04 1.08 1.20 1.29 1.31 1.26 1.21 1.26 1.43 1.67 1.85 1.87 1.68 1.33 0.94 0.68 0.59 0.67 0.80 0.89 0.86 0.75 0.61 0.53 0.54 0.63 0.76 0.87 0.93 0.93 0.90 0.87 0.88 0.92 0.98 1.03 1.02 0.94 0.81 0.70 0.65 0.70 0.83 0.97 1.03 0.99 0.89 0.83 0.92 1.21 1.63 2.04 2.29 2.32 2.16 1.90 1.69 1.59 1.58 1.59 1.55 1.43 1.29 1.21 1.26 1.43 1.65 1.79 1.78 1.61 1.36 1.14 1.04 1.08 1.20 1.29 1.31 1.26 1.21 1.26 1.43 1.67 1.85 1.87 1.68 1.33 0.94 0.68 0.59 0.67 0.80 0.89 0.86 0.75 0.61 0.53 0.54 0.63 0.76 0.87 0.93 0.93 0.90 0.87 0.88 0.92 0.98 1.03 1.02 0.94 0.81 0.70 0.65 0.70 0.83 0.97 1.03 0.99 0.89 0.83 0.92 1.21 1.63 2.04 2.29 2.32 2.16 1.90 1.69 1.59 1.58 1.59 1.55 1.43 1.29 47.5 + 50.0 1.43 1.30 1.29 1.38 1.50 1.53 1.43 1.19 0.92 0.70 0.62 0.66 0.75 0.80 0.76 0.64 0.53 0.53 0.65 0.86 1.04 1.08 0.95 0.69 0.42 0.25 0.24 0.37 0.54 0.66 0.67 0.58 0.45 0.33 0.29 0.33 0.43 0.54 0.62 0.66 0.66 0.65 0.68 0.76 0.88 1.00 1.07 1.06 0.97 0.85 0.80 0.84 0.96 1.11 1.20 1.21 1.18 1.20 1.37 1.72 2.18 2.60 2.85 2.88 2.70 2.45 2.22 2.08 2.01 1.94 1.82 1.63 1.43 1.30 1.29 1.38 1.50 1.53 1.43 1.19 0.92 0.70 0.62 0.66 0.75 0.80 0.76 0.64 0.53 0.53 0.65 0.86 1.04 1.08 0.95 0.69 0.42 0.25 0.24 0.37 0.54 0.66 0.67 0.58 0.45 0.33 0.29 0.33 0.43 0.54 0.62 0.66 0.66 0.65 0.68 0.76 0.88 1.00 1.07 1.06 0.97 0.85 0.80 0.84 0.96 1.11 1.20 1.21 1.18 1.20 1.37 1.72 2.18 2.60 2.85 2.88 2.70 2.45 2.22 2.08 2.01 1.94 1.82 1.63 1.43 50.0 + 52.5 1.45 1.25 1.17 1.17 1.19 1.14 0.98 0.72 0.47 0.30 0.27 0.34 0.44 0.47 0.39 0.24 0.12 0.09 0.21 0.40 0.58 0.65 0.57 0.39 0.21 0.11 0.15 0.29 0.46 0.59 0.61 0.53 0.40 0.27 0.18 0.16 0.21 0.28 0.35 0.39 0.40 0.39 0.43 0.53 0.69 0.88 1.03 1.08 1.03 0.94 0.88 0.92 1.06 1.24 1.39 1.48 1.55 1.68 1.93 2.34 2.81 3.22 3.44 3.44 3.25 2.98 2.73 2.54 2.40 2.24 2.01 1.73 1.45 1.25 1.17 1.17 1.19 1.14 0.98 0.72 0.47 0.30 0.27 0.34 0.44 0.47 0.39 0.24 0.12 0.09 0.21 0.40 0.58 0.65 0.57 0.39 0.21 0.11 0.15 0.29 0.46 0.59 0.61 0.53 0.40 0.27 0.18 0.16 0.21 0.28 0.35 0.39 0.40 0.39 0.43 0.53 0.69 0.88 1.03 1.08 1.03 0.94 0.88 0.92 1.06 1.24 1.39 1.48 1.55 1.68 1.93 2.34 2.81 3.22 3.44 3.44 3.25 2.98 2.73 2.54 2.40 2.24 2.01 1.73 1.45 52.5 + 55.0 1.31 1.04 0.89 0.83 0.79 0.70 0.52 0.29 0.09 0.00 0.03 0.14 0.25 0.27 0.18 0.04 0.00 0.00 0.03 0.22 0.39 0.47 0.42 0.29 0.17 0.13 0.19 0.33 0.48 0.59 0.61 0.54 0.43 0.30 0.19 0.14 0.14 0.18 0.22 0.24 0.23 0.22 0.25 0.36 0.55 0.78 0.98 1.07 1.06 1.00 0.96 1.01 1.17 1.40 1.63 1.83 2.01 2.25 2.58 3.01 3.46 3.81 3.97 3.92 3.70 3.40 3.11 2.86 2.63 2.36 2.03 1.66 1.31 1.04 0.89 0.83 0.79 0.70 0.52 0.29 0.09 0.00 0.03 0.14 0.25 0.27 0.18 0.04 0.00 0.00 0.03 0.22 0.39 0.47 0.42 0.29 0.17 0.13 0.19 0.33 0.48 0.59 0.61 0.54 0.43 0.30 0.19 0.14 0.14 0.18 0.22 0.24 0.23 0.22 0.25 0.36 0.55 0.78 0.98 1.07 1.06 1.00 0.96 1.01 1.17 1.40 1.63 1.83 2.01 2.25 2.58 3.01 3.46 3.81 3.97 3.92 3.70 3.40 3.11 2.86 2.63 2.36 2.03 1.66 1.31 55.0 + 57.5 1.00 0.70 0.51 0.43 0.37 0.27 0.12 0.00 0.00 0.00 0.00 0.03 0.14 0.16 0.06 0.00 0.00 0.00 0.00 0.17 0.32 0.37 0.32 0.22 0.14 0.14 0.23 0.36 0.48 0.55 0.56 0.52 0.44 0.35 0.27 0.22 0.20 0.22 0.24 0.25 0.23 0.22 0.25 0.36 0.55 0.78 0.99 1.10 1.12 1.09 1.08 1.17 1.37 1.65 1.95 2.25 2.54 2.86 3.23 3.64 4.01 4.27 4.34 4.21 3.94 3.60 3.27 2.96 2.64 2.28 1.86 1.41 1.00 0.70 0.51 0.43 0.37 0.27 0.12 0.00 0.00 0.00 0.00 0.03 0.14 0.16 0.06 0.00 0.00 0.00 0.00 0.17 0.32 0.37 0.32 0.22 0.14 0.14 0.23 0.36 0.48 0.55 0.56 0.52 0.44 0.35 0.27 0.22 0.20 0.22 0.24 0.25 0.23 0.22 0.25 0.36 0.55 0.78 0.99 1.10 1.12 1.09 1.08 1.17 1.37 1.65 1.95 2.25 2.54 2.86 3.23 3.64 4.01 4.27 4.34 4.21 3.94 3.60 3.27 2.96 2.64 2.28 1.86 1.41 1.00 57.5 + 60.0 0.64 0.33 0.14 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.05 0.00 0.00 0.00 0.00 0.00 0.15 0.25 0.26 0.18 0.08 0.03 0.07 0.17 0.29 0.38 0.42 0.42 0.40 0.37 0.34 0.32 0.32 0.32 0.34 0.36 0.37 0.38 0.38 0.42 0.52 0.69 0.89 1.08 1.19 1.24 1.25 1.29 1.43 1.67 2.00 2.36 2.73 3.07 3.42 3.77 4.10 4.35 4.47 4.43 4.22 3.91 3.54 3.18 2.82 2.45 2.02 1.55 1.07 0.64 0.33 0.14 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.05 0.00 0.00 0.00 0.00 0.00 0.15 0.25 0.26 0.18 0.08 0.03 0.07 0.17 0.29 0.38 0.42 0.42 0.40 0.37 0.34 0.32 0.32 0.32 0.34 0.36 0.37 0.38 0.38 0.42 0.52 0.69 0.89 1.08 1.19 1.24 1.25 1.29 1.43 1.67 2.00 2.36 2.73 3.07 3.42 3.77 4.10 4.35 4.47 4.43 4.22 3.91 3.54 3.18 2.82 2.45 2.02 1.55 1.07 0.64 60.0 + 62.5 0.36 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.16 0.10 0.00 0.00 0.00 0.00 0.01 0.13 0.20 0.22 0.21 0.21 0.23 0.28 0.32 0.37 0.41 0.46 0.51 0.56 0.60 0.63 0.69 0.78 0.91 1.07 1.22 1.33 1.40 1.47 1.58 1.77 2.06 2.42 2.80 3.17 3.52 3.82 4.08 4.28 4.38 4.36 4.21 3.94 3.60 3.24 2.88 2.52 2.14 1.71 1.24 0.77 0.36 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.16 0.10 0.00 0.00 0.00 0.00 0.01 0.13 0.20 0.22 0.21 0.21 0.23 0.28 0.32 0.37 0.41 0.46 0.51 0.56 0.60 0.63 0.69 0.78 0.91 1.07 1.22 1.33 1.40 1.47 1.58 1.77 2.06 2.42 2.80 3.17 3.52 3.82 4.08 4.28 4.38 4.36 4.21 3.94 3.60 3.24 2.88 2.52 2.14 1.71 1.24 0.77 0.36 62.5 + 65.0 0.28 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.02 0.02 0.03 0.09 0.18 0.27 0.36 0.44 0.53 0.63 0.73 0.83 0.91 0.98 1.05 1.15 1.26 1.37 1.48 1.59 1.72 1.90 2.15 2.47 2.82 3.18 3.50 3.77 3.98 4.11 4.15 4.10 3.94 3.71 3.42 3.10 2.78 2.48 2.17 1.84 1.47 1.06 0.64 0.28 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.02 0.02 0.03 0.09 0.18 0.27 0.36 0.44 0.53 0.63 0.73 0.83 0.91 0.98 1.05 1.15 1.26 1.37 1.48 1.59 1.72 1.90 2.15 2.47 2.82 3.18 3.50 3.77 3.98 4.11 4.15 4.10 3.94 3.71 3.42 3.10 2.78 2.48 2.17 1.84 1.47 1.06 0.64 0.28 65.0 + 67.5 0.43 0.16 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.12 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.10 0.21 0.31 0.42 0.54 0.70 0.87 1.02 1.15 1.24 1.30 1.36 1.42 1.51 1.62 1.77 1.95 2.19 2.48 2.80 3.12 3.41 3.64 3.80 3.87 3.86 3.75 3.57 3.33 3.06 2.78 2.52 2.29 2.08 1.88 1.65 1.39 1.08 0.75 0.43 0.16 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.12 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.10 0.21 0.31 0.42 0.54 0.70 0.87 1.02 1.15 1.24 1.30 1.36 1.42 1.51 1.62 1.77 1.95 2.19 2.48 2.80 3.12 3.41 3.64 3.80 3.87 3.86 3.75 3.57 3.33 3.06 2.78 2.52 2.29 2.08 1.88 1.65 1.39 1.08 0.75 0.43 67.5 + 70.0 0.76 0.50 0.29 0.14 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.25 0.22 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.15 0.24 0.36 0.53 0.74 0.98 1.20 1.37 1.47 1.53 1.55 1.59 1.65 1.76 1.92 2.14 2.41 2.70 2.99 3.24 3.43 3.55 3.59 3.54 3.41 3.20 2.94 2.66 2.40 2.16 1.98 1.85 1.76 1.69 1.60 1.47 1.28 1.04 0.76 0.50 0.29 0.14 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.25 0.22 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.15 0.24 0.36 0.53 0.74 0.98 1.20 1.37 1.47 1.53 1.55 1.59 1.65 1.76 1.92 2.14 2.41 2.70 2.99 3.24 3.43 3.55 3.59 3.54 3.41 3.20 2.94 2.66 2.40 2.16 1.98 1.85 1.76 1.69 1.60 1.47 1.28 1.04 0.76 70.0 + 72.5 1.16 0.90 0.67 0.49 0.36 0.28 0.21 0.16 0.13 0.12 0.13 0.13 0.09 0.00 0.00 0.00 0.00 0.15 0.34 0.45 0.45 0.32 0.14 0.00 0.00 0.00 0.01 0.06 0.08 0.06 0.03 0.03 0.04 0.07 0.12 0.20 0.33 0.53 0.80 1.10 1.37 1.58 1.71 1.76 1.77 1.77 1.81 1.89 2.05 2.26 2.52 2.78 3.00 3.16 3.25 3.25 3.19 3.05 2.86 2.62 2.35 2.08 1.85 1.67 1.56 1.53 1.55 1.61 1.65 1.65 1.57 1.40 1.16 0.90 0.67 0.49 0.36 0.28 0.21 0.16 0.13 0.12 0.13 0.13 0.09 0.00 0.00 0.00 0.00 0.15 0.34 0.45 0.45 0.32 0.14 0.00 0.00 0.00 0.01 0.06 0.08 0.06 0.03 0.03 0.04 0.07 0.12 0.20 0.33 0.53 0.80 1.10 1.37 1.58 1.71 1.76 1.77 1.77 1.81 1.89 2.05 2.26 2.52 2.78 3.00 3.16 3.25 3.25 3.19 3.05 2.86 2.62 2.35 2.08 1.85 1.67 1.56 1.53 1.55 1.61 1.65 1.65 1.57 1.40 1.16 72.5 + 75.0 1.49 1.24 1.00 0.81 0.66 0.56 0.47 0.40 0.36 0.36 0.38 0.39 0.35 0.26 0.16 0.11 0.17 0.32 0.52 0.66 0.69 0.59 0.43 0.27 0.18 0.15 0.17 0.18 0.17 0.13 0.08 0.05 0.05 0.07 0.12 0.22 0.38 0.63 0.93 1.27 1.57 1.81 1.95 2.02 2.02 1.99 1.98 2.01 2.12 2.29 2.49 2.69 2.83 2.89 2.87 2.78 2.64 2.48 2.30 2.10 1.87 1.65 1.45 1.31 1.26 1.29 1.40 1.56 1.71 1.81 1.81 1.70 1.49 1.24 1.00 0.81 0.66 0.56 0.47 0.40 0.36 0.36 0.38 0.39 0.35 0.26 0.16 0.11 0.17 0.32 0.52 0.66 0.69 0.59 0.43 0.27 0.18 0.15 0.17 0.18 0.17 0.13 0.08 0.05 0.05 0.07 0.12 0.22 0.38 0.63 0.93 1.27 1.57 1.81 1.95 2.02 2.02 1.99 1.98 2.01 2.12 2.29 2.49 2.69 2.83 2.89 2.87 2.78 2.64 2.48 2.30 2.10 1.87 1.65 1.45 1.31 1.26 1.29 1.40 1.56 1.71 1.81 1.81 1.70 1.49 75.0 + 77.5 1.65 1.43 1.21 1.03 0.88 0.76 0.64 0.55 0.50 0.51 0.57 0.61 0.59 0.49 0.36 0.26 0.28 0.41 0.60 0.77 0.84 0.77 0.61 0.44 0.32 0.25 0.23 0.20 0.16 0.09 0.02 0.00 0.00 0.06 0.17 0.34 0.56 0.84 1.15 1.48 1.77 2.00 2.16 2.23 2.23 2.17 2.09 2.05 2.07 2.17 2.31 2.44 2.50 2.46 2.33 2.17 2.01 1.88 1.77 1.65 1.51 1.34 1.18 1.05 1.01 1.08 1.24 1.47 1.70 1.86 1.91 1.83 1.65 1.43 1.21 1.03 0.88 0.76 0.64 0.55 0.50 0.51 0.57 0.61 0.59 0.49 0.36 0.26 0.28 0.41 0.60 0.77 0.84 0.77 0.61 0.44 0.32 0.25 0.23 0.20 0.16 0.09 0.02 0.00 0.00 0.06 0.17 0.34 0.56 0.84 1.15 1.48 1.77 2.00 2.16 2.23 2.23 2.17 2.09 2.05 2.07 2.17 2.31 2.44 2.50 2.46 2.33 2.17 2.01 1.88 1.77 1.65 1.51 1.34 1.18 1.05 1.01 1.08 1.24 1.47 1.70 1.86 1.91 1.83 1.65 77.5 + 80.0 1.62 1.44 1.27 1.12 0.98 0.83 0.68 0.55 0.50 0.53 0.63 0.72 0.72 0.62 0.44 0.28 0.24 0.34 0.54 0.73 0.83 0.78 0.62 0.43 0.28 0.19 0.15 0.10 0.04 0.00 0.00 0.00 0.00 0.08 0.31 0.59 0.88 1.17 1.44 1.68 1.91 2.09 2.24 2.31 2.30 2.21 2.07 1.93 1.86 1.88 1.96 2.03 2.02 1.90 1.70 1.49 1.33 1.26 1.26 1.27 1.23 1.12 0.96 0.82 0.76 0.84 1.03 1.30 1.57 1.76 1.83 1.77 1.62 1.44 1.27 1.12 0.98 0.83 0.68 0.55 0.50 0.53 0.63 0.72 0.72 0.62 0.44 0.28 0.24 0.34 0.54 0.73 0.83 0.78 0.62 0.43 0.28 0.19 0.15 0.10 0.04 0.00 0.00 0.00 0.00 0.08 0.31 0.59 0.88 1.17 1.44 1.68 1.91 2.09 2.24 2.31 2.30 2.21 2.07 1.93 1.86 1.88 1.96 2.03 2.02 1.90 1.70 1.49 1.33 1.26 1.26 1.27 1.23 1.12 0.96 0.82 0.76 0.84 1.03 1.30 1.57 1.76 1.83 1.77 1.62 80.0 + 82.5 1.45 1.32 1.21 1.10 0.96 0.79 0.59 0.42 0.35 0.41 0.56 0.70 0.73 0.61 0.37 0.15 0.05 0.12 0.32 0.54 0.66 0.63 0.46 0.26 0.09 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.57 0.96 1.30 1.55 1.71 1.82 1.90 2.00 2.10 2.17 2.15 2.02 1.82 1.61 1.46 1.43 1.47 1.51 1.47 1.29 1.04 0.80 0.66 0.68 0.80 0.93 0.98 0.91 0.74 0.56 0.48 0.55 0.77 1.06 1.35 1.54 1.61 1.56 1.45 1.32 1.21 1.10 0.96 0.79 0.59 0.42 0.35 0.41 0.56 0.70 0.73 0.61 0.37 0.15 0.05 0.12 0.32 0.54 0.66 0.63 0.46 0.26 0.09 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.57 0.96 1.30 1.55 1.71 1.82 1.90 2.00 2.10 2.17 2.15 2.02 1.82 1.61 1.46 1.43 1.47 1.51 1.47 1.29 1.04 0.80 0.66 0.68 0.80 0.93 0.98 0.91 0.74 0.56 0.48 0.55 0.77 1.06 1.35 1.54 1.61 1.56 1.45 82.5 + 85.0 1.22 1.14 1.09 1.02 0.88 0.68 0.43 0.22 0.14 0.22 0.41 0.59 0.64 0.50 0.22 0.00 0.00 0.00 0.05 0.29 0.43 0.40 0.24 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.45 0.93 1.40 1.73 1.89 1.89 1.80 1.70 1.67 1.71 1.76 1.74 1.60 1.36 1.11 0.93 0.88 0.93 0.98 0.92 0.72 0.44 0.18 0.08 0.17 0.40 0.64 0.76 0.70 0.51 0.30 0.20 0.27 0.50 0.81 1.10 1.28 1.34 1.30 1.22 1.14 1.09 1.02 0.88 0.68 0.43 0.22 0.14 0.22 0.41 0.59 0.64 0.50 0.22 0.00 0.00 0.00 0.05 0.29 0.43 0.40 0.24 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.45 0.93 1.40 1.73 1.89 1.89 1.80 1.70 1.67 1.71 1.76 1.74 1.60 1.36 1.11 0.93 0.88 0.93 0.98 0.92 0.72 0.44 0.18 0.08 0.17 0.40 0.64 0.76 0.70 0.51 0.30 0.20 0.27 0.50 0.81 1.10 1.28 1.34 1.30 1.22 85.0 + 87.5 1.03 1.01 1.00 0.95 0.81 0.57 0.27 0.03 0.00 0.05 0.28 0.49 0.54 0.38 0.06 0.00 0.00 0.00 0.00 0.10 0.26 0.25 0.10 0.00 0.00 0.00 0.00 0.06 0.09 0.05 0.02 0.11 0.37 0.82 1.34 1.80 2.07 2.08 1.89 1.59 1.32 1.17 1.14 1.17 1.15 1.02 0.80 0.55 0.39 0.37 0.45 0.53 0.49 0.29 0.00 0.00 0.00 0.00 0.13 0.43 0.59 0.54 0.33 0.09 0.00 0.05 0.29 0.62 0.90 1.07 1.11 1.08 1.03 1.01 1.00 0.95 0.81 0.57 0.27 0.03 0.00 0.05 0.28 0.49 0.54 0.38 0.06 0.00 0.00 0.00 0.00 0.10 0.26 0.25 0.10 0.00 0.00 0.00 0.00 0.06 0.09 0.05 0.02 0.11 0.37 0.82 1.34 1.80 2.07 2.08 1.89 1.59 1.32 1.17 1.14 1.17 1.15 1.02 0.80 0.55 0.39 0.37 0.45 0.53 0.49 0.29 0.00 0.00 0.00 0.00 0.13 0.43 0.59 0.54 0.33 0.09 0.00 0.05 0.29 0.62 0.90 1.07 1.11 1.08 1.03 87.5 + 90.0 0.96 0.97 0.99 0.95 0.80 0.53 0.22 0.00 0.00 0.00 0.24 0.46 0.51 0.34 0.01 0.00 0.00 0.00 0.00 0.08 0.26 0.27 0.15 0.02 0.00 0.09 0.28 0.46 0.55 0.54 0.52 0.59 0.84 1.24 1.69 2.05 2.19 2.05 1.69 1.24 0.84 0.59 0.52 0.54 0.55 0.46 0.28 0.09 0.00 0.02 0.15 0.27 0.26 0.08 0.00 0.00 0.00 0.00 0.01 0.34 0.51 0.46 0.24 0.00 0.00 0.00 0.22 0.53 0.80 0.95 0.99 0.97 0.96 0.97 0.99 0.95 0.80 0.53 0.22 0.00 0.00 0.00 0.24 0.46 0.51 0.34 0.01 0.00 0.00 0.00 0.00 0.08 0.26 0.27 0.15 0.02 0.00 0.09 0.28 0.46 0.55 0.54 0.52 0.59 0.84 1.24 1.69 2.05 2.19 2.05 1.69 1.24 0.84 0.59 0.52 0.54 0.55 0.46 0.28 0.09 0.00 0.02 0.15 0.27 0.26 0.08 0.00 0.00 0.00 0.00 0.01 0.34 0.51 0.46 0.24 0.00 0.00 0.00 0.22 0.53 0.80 0.95 0.99 0.97 0.96 90.0 + + 72.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.99 ) PHI2 = 73. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 0.0 + 2.5 0.86 1.07 1.30 1.54 1.80 2.04 2.23 2.30 2.25 2.09 1.85 1.60 1.36 1.13 0.91 0.71 0.53 0.42 0.37 0.36 0.33 0.23 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.26 0.37 0.41 0.41 0.45 0.54 0.70 0.90 1.12 1.34 1.58 1.81 2.03 2.18 2.23 2.16 1.99 1.76 1.52 1.28 1.06 0.85 0.66 0.51 0.42 0.40 0.41 0.39 0.28 0.08 0.00 0.00 0.00 0.00 0.00 0.08 0.25 0.34 0.35 0.35 0.39 0.49 0.66 0.86 1.07 1.30 1.54 1.80 2.04 2.23 2.30 2.25 2.09 1.85 1.60 1.36 1.13 0.91 0.71 0.53 0.42 0.37 0.36 0.33 0.23 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.26 0.37 0.41 0.41 0.45 0.54 0.70 0.90 1.12 1.34 1.58 1.81 2.03 2.18 2.23 2.16 1.99 1.76 1.52 1.28 1.06 0.85 0.66 0.51 0.42 0.40 0.41 0.39 0.28 0.08 0.00 0.00 0.00 0.00 0.00 0.08 0.25 0.34 0.35 0.35 0.39 0.49 0.66 0.86 2.5 + 5.0 0.72 0.94 1.19 1.47 1.79 2.09 2.34 2.46 2.43 2.26 2.00 1.71 1.44 1.18 0.95 0.73 0.54 0.41 0.35 0.34 0.33 0.28 0.14 0.00 0.00 0.00 0.00 0.00 0.13 0.33 0.45 0.49 0.48 0.49 0.54 0.67 0.86 1.09 1.34 1.59 1.84 2.05 2.17 2.19 2.09 1.90 1.66 1.39 1.13 0.89 0.68 0.51 0.41 0.39 0.43 0.48 0.48 0.39 0.21 0.00 0.00 0.00 0.00 0.04 0.21 0.31 0.33 0.29 0.25 0.27 0.36 0.52 0.72 0.94 1.19 1.47 1.79 2.09 2.34 2.46 2.43 2.26 2.00 1.71 1.44 1.18 0.95 0.73 0.54 0.41 0.35 0.34 0.33 0.28 0.14 0.00 0.00 0.00 0.00 0.00 0.13 0.33 0.45 0.49 0.48 0.49 0.54 0.67 0.86 1.09 1.34 1.59 1.84 2.05 2.17 2.19 2.09 1.90 1.66 1.39 1.13 0.89 0.68 0.51 0.41 0.39 0.43 0.48 0.48 0.39 0.21 0.00 0.00 0.00 0.00 0.04 0.21 0.31 0.33 0.29 0.25 0.27 0.36 0.52 0.72 5.0 + 7.5 0.52 0.74 1.01 1.33 1.71 2.09 2.42 2.60 2.60 2.44 2.16 1.85 1.54 1.27 1.04 0.82 0.63 0.48 0.40 0.39 0.41 0.40 0.33 0.18 0.01 0.00 0.00 0.01 0.21 0.41 0.54 0.58 0.55 0.50 0.50 0.58 0.75 0.99 1.27 1.55 1.80 1.99 2.08 2.06 1.94 1.73 1.48 1.20 0.92 0.67 0.46 0.32 0.28 0.33 0.44 0.54 0.56 0.47 0.30 0.12 0.00 0.00 0.09 0.22 0.33 0.35 0.29 0.19 0.12 0.12 0.20 0.34 0.52 0.74 1.01 1.33 1.71 2.09 2.42 2.60 2.60 2.44 2.16 1.85 1.54 1.27 1.04 0.82 0.63 0.48 0.40 0.39 0.41 0.40 0.33 0.18 0.01 0.00 0.00 0.01 0.21 0.41 0.54 0.58 0.55 0.50 0.50 0.58 0.75 0.99 1.27 1.55 1.80 1.99 2.08 2.06 1.94 1.73 1.48 1.20 0.92 0.67 0.46 0.32 0.28 0.33 0.44 0.54 0.56 0.47 0.30 0.12 0.00 0.00 0.09 0.22 0.33 0.35 0.29 0.19 0.12 0.12 0.20 0.34 0.52 7.5 + 10.0 0.31 0.50 0.76 1.10 1.52 1.97 2.37 2.62 2.67 2.53 2.26 1.95 1.65 1.41 1.20 1.02 0.84 0.68 0.59 0.56 0.59 0.62 0.59 0.47 0.30 0.14 0.06 0.12 0.28 0.47 0.61 0.64 0.59 0.48 0.41 0.44 0.58 0.82 1.12 1.42 1.66 1.82 1.87 1.81 1.68 1.48 1.24 0.98 0.70 0.43 0.23 0.12 0.14 0.26 0.41 0.52 0.53 0.42 0.25 0.09 0.03 0.07 0.19 0.31 0.36 0.31 0.20 0.07 0.00 0.00 0.04 0.16 0.31 0.50 0.76 1.10 1.52 1.97 2.37 2.62 2.67 2.53 2.26 1.95 1.65 1.41 1.20 1.02 0.84 0.68 0.59 0.56 0.59 0.62 0.59 0.47 0.30 0.14 0.06 0.12 0.28 0.47 0.61 0.64 0.59 0.48 0.41 0.44 0.58 0.82 1.12 1.42 1.66 1.82 1.87 1.81 1.68 1.48 1.24 0.98 0.70 0.43 0.23 0.12 0.14 0.26 0.41 0.52 0.53 0.42 0.25 0.09 0.03 0.07 0.19 0.31 0.36 0.31 0.20 0.07 0.00 0.00 0.04 0.16 0.31 10.0 + 12.5 0.11 0.25 0.47 0.80 1.24 1.73 2.18 2.48 2.59 2.49 2.26 1.99 1.75 1.57 1.43 1.29 1.13 0.97 0.85 0.81 0.84 0.88 0.88 0.77 0.57 0.35 0.20 0.19 0.31 0.50 0.65 0.69 0.60 0.45 0.31 0.28 0.39 0.63 0.94 1.24 1.46 1.58 1.59 1.51 1.38 1.21 1.01 0.77 0.51 0.25 0.06 0.00 0.04 0.19 0.36 0.45 0.42 0.26 0.06 0.00 0.00 0.01 0.16 0.28 0.30 0.22 0.07 0.00 0.00 0.00 0.00 0.01 0.11 0.25 0.47 0.80 1.24 1.73 2.18 2.48 2.59 2.49 2.26 1.99 1.75 1.57 1.43 1.29 1.13 0.97 0.85 0.81 0.84 0.88 0.88 0.77 0.57 0.35 0.20 0.19 0.31 0.50 0.65 0.69 0.60 0.45 0.31 0.28 0.39 0.63 0.94 1.24 1.46 1.58 1.59 1.51 1.38 1.21 1.01 0.77 0.51 0.25 0.06 0.00 0.04 0.19 0.36 0.45 0.42 0.26 0.06 0.00 0.00 0.01 0.16 0.28 0.30 0.22 0.07 0.00 0.00 0.00 0.00 0.01 0.11 12.5 + 15.0 0.00 0.02 0.19 0.50 0.93 1.43 1.90 2.23 2.38 2.33 2.17 1.97 1.81 1.72 1.65 1.57 1.43 1.25 1.10 1.03 1.04 1.09 1.09 0.98 0.76 0.49 0.29 0.23 0.34 0.53 0.69 0.73 0.62 0.43 0.25 0.18 0.27 0.51 0.82 1.11 1.31 1.38 1.35 1.26 1.14 1.01 0.86 0.66 0.42 0.17 0.00 0.00 0.01 0.18 0.34 0.39 0.29 0.07 0.00 0.00 0.00 0.00 0.10 0.22 0.22 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.19 0.50 0.93 1.43 1.90 2.23 2.38 2.33 2.17 1.97 1.81 1.72 1.65 1.57 1.43 1.25 1.10 1.03 1.04 1.09 1.09 0.98 0.76 0.49 0.29 0.23 0.34 0.53 0.69 0.73 0.62 0.43 0.25 0.18 0.27 0.51 0.82 1.11 1.31 1.38 1.35 1.26 1.14 1.01 0.86 0.66 0.42 0.17 0.00 0.00 0.01 0.18 0.34 0.39 0.29 0.07 0.00 0.00 0.00 0.00 0.10 0.22 0.22 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 15.0 + 17.5 0.00 0.00 0.00 0.26 0.67 1.16 1.62 1.95 2.12 2.12 2.02 1.91 1.85 1.84 1.83 1.77 1.63 1.43 1.24 1.14 1.14 1.19 1.19 1.08 0.84 0.55 0.33 0.27 0.37 0.57 0.74 0.78 0.67 0.46 0.26 0.19 0.28 0.53 0.84 1.11 1.28 1.32 1.27 1.16 1.06 0.96 0.84 0.67 0.45 0.21 0.04 0.00 0.10 0.27 0.41 0.41 0.25 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.22 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.26 0.67 1.16 1.62 1.95 2.12 2.12 2.02 1.91 1.85 1.84 1.83 1.77 1.63 1.43 1.24 1.14 1.14 1.19 1.19 1.08 0.84 0.55 0.33 0.27 0.37 0.57 0.74 0.78 0.67 0.46 0.26 0.19 0.28 0.53 0.84 1.11 1.28 1.32 1.27 1.16 1.06 0.96 0.84 0.67 0.45 0.21 0.04 0.00 0.10 0.27 0.41 0.41 0.25 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.22 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 17.5 + 20.0 0.00 0.00 0.00 0.12 0.52 0.98 1.41 1.71 1.87 1.90 1.87 1.85 1.87 1.92 1.95 1.88 1.71 1.48 1.27 1.15 1.15 1.20 1.20 1.09 0.85 0.57 0.36 0.31 0.43 0.64 0.81 0.84 0.72 0.51 0.33 0.29 0.42 0.68 0.99 1.25 1.39 1.41 1.34 1.23 1.14 1.05 0.95 0.79 0.58 0.35 0.20 0.17 0.29 0.47 0.59 0.57 0.37 0.09 0.00 0.00 0.00 0.15 0.36 0.44 0.36 0.19 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.52 0.98 1.41 1.71 1.87 1.90 1.87 1.85 1.87 1.92 1.95 1.88 1.71 1.48 1.27 1.15 1.15 1.20 1.20 1.09 0.85 0.57 0.36 0.31 0.43 0.64 0.81 0.84 0.72 0.51 0.33 0.29 0.42 0.68 0.99 1.25 1.39 1.41 1.34 1.23 1.14 1.05 0.95 0.79 0.58 0.35 0.20 0.17 0.29 0.47 0.59 0.57 0.37 0.09 0.00 0.00 0.00 0.15 0.36 0.44 0.36 0.19 0.00 0.00 0.00 0.00 0.00 0.00 0.00 20.0 + 22.5 0.00 0.00 0.00 0.10 0.49 0.92 1.29 1.55 1.68 1.72 1.74 1.80 1.91 2.01 2.05 1.97 1.77 1.52 1.31 1.20 1.21 1.27 1.27 1.14 0.90 0.62 0.43 0.40 0.53 0.72 0.85 0.86 0.72 0.54 0.40 0.41 0.58 0.86 1.17 1.41 1.53 1.53 1.46 1.37 1.28 1.21 1.11 0.95 0.74 0.52 0.39 0.40 0.54 0.73 0.86 0.82 0.63 0.36 0.17 0.15 0.31 0.56 0.75 0.77 0.63 0.39 0.17 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.49 0.92 1.29 1.55 1.68 1.72 1.74 1.80 1.91 2.01 2.05 1.97 1.77 1.52 1.31 1.20 1.21 1.27 1.27 1.14 0.90 0.62 0.43 0.40 0.53 0.72 0.85 0.86 0.72 0.54 0.40 0.41 0.58 0.86 1.17 1.41 1.53 1.53 1.46 1.37 1.28 1.21 1.11 0.95 0.74 0.52 0.39 0.40 0.54 0.73 0.86 0.82 0.63 0.36 0.17 0.15 0.31 0.56 0.75 0.77 0.63 0.39 0.17 0.04 0.00 0.00 0.00 0.00 0.00 22.5 + 25.0 0.00 0.00 0.00 0.15 0.54 0.93 1.25 1.44 1.53 1.58 1.66 1.81 1.99 2.15 2.21 2.14 1.95 1.72 1.55 1.50 1.54 1.60 1.56 1.39 1.10 0.80 0.61 0.57 0.67 0.81 0.88 0.82 0.67 0.50 0.42 0.48 0.68 0.96 1.24 1.44 1.54 1.54 1.49 1.41 1.35 1.28 1.19 1.03 0.83 0.65 0.55 0.60 0.77 0.98 1.11 1.08 0.90 0.67 0.52 0.56 0.76 1.01 1.17 1.14 0.94 0.65 0.40 0.26 0.21 0.19 0.11 0.00 0.00 0.00 0.00 0.15 0.54 0.93 1.25 1.44 1.53 1.58 1.66 1.81 1.99 2.15 2.21 2.14 1.95 1.72 1.55 1.50 1.54 1.60 1.56 1.39 1.10 0.80 0.61 0.57 0.67 0.81 0.88 0.82 0.67 0.50 0.42 0.48 0.68 0.96 1.24 1.44 1.54 1.54 1.49 1.41 1.35 1.28 1.19 1.03 0.83 0.65 0.55 0.60 0.77 0.98 1.11 1.08 0.90 0.67 0.52 0.56 0.76 1.01 1.17 1.14 0.94 0.65 0.40 0.26 0.21 0.19 0.11 0.00 0.00 25.0 + 27.5 0.00 0.00 0.00 0.26 0.63 0.99 1.24 1.38 1.43 1.50 1.64 1.88 2.16 2.39 2.51 2.48 2.35 2.21 2.15 2.18 2.27 2.30 2.19 1.92 1.53 1.17 0.93 0.85 0.88 0.93 0.90 0.77 0.59 0.43 0.39 0.48 0.68 0.92 1.14 1.28 1.34 1.34 1.30 1.26 1.22 1.18 1.10 0.96 0.80 0.66 0.61 0.70 0.90 1.12 1.26 1.23 1.07 0.87 0.78 0.86 1.10 1.35 1.49 1.42 1.18 0.87 0.63 0.51 0.47 0.44 0.34 0.16 0.00 0.00 0.00 0.26 0.63 0.99 1.24 1.38 1.43 1.50 1.64 1.88 2.16 2.39 2.51 2.48 2.35 2.21 2.15 2.18 2.27 2.30 2.19 1.92 1.53 1.17 0.93 0.85 0.88 0.93 0.90 0.77 0.59 0.43 0.39 0.48 0.68 0.92 1.14 1.28 1.34 1.34 1.30 1.26 1.22 1.18 1.10 0.96 0.80 0.66 0.61 0.70 0.90 1.12 1.26 1.23 1.07 0.87 0.78 0.86 1.10 1.35 1.49 1.42 1.18 0.87 0.63 0.51 0.47 0.44 0.34 0.16 0.00 27.5 + 30.0 0.19 0.07 0.14 0.40 0.75 1.07 1.28 1.36 1.39 1.48 1.68 2.01 2.40 2.73 2.93 3.00 2.99 2.99 3.08 3.23 3.36 3.35 3.12 2.69 2.17 1.70 1.38 1.23 1.18 1.12 0.98 0.77 0.55 0.40 0.38 0.48 0.64 0.80 0.92 0.97 0.97 0.95 0.93 0.91 0.91 0.89 0.83 0.73 0.61 0.53 0.53 0.66 0.88 1.11 1.23 1.20 1.05 0.88 0.83 0.96 1.23 1.49 1.62 1.54 1.30 1.01 0.81 0.74 0.75 0.74 0.62 0.41 0.19 0.07 0.14 0.40 0.75 1.07 1.28 1.36 1.39 1.48 1.68 2.01 2.40 2.73 2.93 3.00 2.99 2.99 3.08 3.23 3.36 3.35 3.12 2.69 2.17 1.70 1.38 1.23 1.18 1.12 0.98 0.77 0.55 0.40 0.38 0.48 0.64 0.80 0.92 0.97 0.97 0.95 0.93 0.91 0.91 0.89 0.83 0.73 0.61 0.53 0.53 0.66 0.88 1.11 1.23 1.20 1.05 0.88 0.83 0.96 1.23 1.49 1.62 1.54 1.30 1.01 0.81 0.74 0.75 0.74 0.62 0.41 0.19 30.0 + 32.5 0.41 0.27 0.33 0.58 0.92 1.22 1.39 1.43 1.44 1.54 1.80 2.20 2.68 3.10 3.40 3.58 3.72 3.89 4.14 4.41 4.57 4.49 4.12 3.53 2.87 2.29 1.90 1.68 1.55 1.39 1.15 0.87 0.63 0.49 0.48 0.57 0.67 0.73 0.72 0.67 0.59 0.53 0.51 0.51 0.52 0.52 0.48 0.41 0.33 0.30 0.36 0.52 0.75 0.96 1.06 1.01 0.86 0.72 0.71 0.88 1.17 1.46 1.59 1.52 1.30 1.06 0.92 0.92 0.99 1.01 0.91 0.67 0.41 0.27 0.33 0.58 0.92 1.22 1.39 1.43 1.44 1.54 1.80 2.20 2.68 3.10 3.40 3.58 3.72 3.89 4.14 4.41 4.57 4.49 4.12 3.53 2.87 2.29 1.90 1.68 1.55 1.39 1.15 0.87 0.63 0.49 0.48 0.57 0.67 0.73 0.72 0.67 0.59 0.53 0.51 0.51 0.52 0.52 0.48 0.41 0.33 0.30 0.36 0.52 0.75 0.96 1.06 1.01 0.86 0.72 0.71 0.88 1.17 1.46 1.59 1.52 1.30 1.06 0.92 0.92 0.99 1.01 0.91 0.67 0.41 32.5 + 35.0 0.64 0.49 0.56 0.82 1.17 1.45 1.59 1.60 1.59 1.68 1.95 2.39 2.91 3.38 3.75 4.03 4.30 4.63 5.02 5.38 5.55 5.40 4.91 4.18 3.41 2.77 2.34 2.09 1.91 1.69 1.39 1.07 0.82 0.71 0.72 0.80 0.84 0.81 0.69 0.53 0.38 0.29 0.25 0.25 0.25 0.24 0.20 0.14 0.08 0.08 0.17 0.35 0.58 0.77 0.84 0.77 0.61 0.49 0.52 0.73 1.06 1.37 1.51 1.46 1.26 1.07 0.99 1.05 1.17 1.23 1.13 0.90 0.64 0.49 0.56 0.82 1.17 1.45 1.59 1.60 1.59 1.68 1.95 2.39 2.91 3.38 3.75 4.03 4.30 4.63 5.02 5.38 5.55 5.40 4.91 4.18 3.41 2.77 2.34 2.09 1.91 1.69 1.39 1.07 0.82 0.71 0.72 0.80 0.84 0.81 0.69 0.53 0.38 0.29 0.25 0.25 0.25 0.24 0.20 0.14 0.08 0.08 0.17 0.35 0.58 0.77 0.84 0.77 0.61 0.49 0.52 0.73 1.06 1.37 1.51 1.46 1.26 1.07 0.99 1.05 1.17 1.23 1.13 0.90 0.64 35.0 + 37.5 0.84 0.73 0.84 1.13 1.49 1.77 1.88 1.85 1.79 1.84 2.09 2.51 3.01 3.48 3.86 4.18 4.52 4.95 5.42 5.83 5.99 5.78 5.20 4.41 3.60 2.96 2.55 2.33 2.15 1.91 1.60 1.29 1.06 0.98 1.02 1.10 1.13 1.04 0.85 0.63 0.44 0.32 0.26 0.25 0.23 0.19 0.12 0.04 0.00 0.00 0.06 0.25 0.47 0.64 0.69 0.60 0.44 0.34 0.40 0.66 1.04 1.37 1.53 1.48 1.29 1.11 1.06 1.15 1.30 1.37 1.29 1.07 0.84 0.73 0.84 1.13 1.49 1.77 1.88 1.85 1.79 1.84 2.09 2.51 3.01 3.48 3.86 4.18 4.52 4.95 5.42 5.83 5.99 5.78 5.20 4.41 3.60 2.96 2.55 2.33 2.15 1.91 1.60 1.29 1.06 0.98 1.02 1.10 1.13 1.04 0.85 0.63 0.44 0.32 0.26 0.25 0.23 0.19 0.12 0.04 0.00 0.00 0.06 0.25 0.47 0.64 0.69 0.60 0.44 0.34 0.40 0.66 1.04 1.37 1.53 1.48 1.29 1.11 1.06 1.15 1.30 1.37 1.29 1.07 0.84 37.5 + 40.0 1.03 0.98 1.14 1.48 1.85 2.11 2.18 2.09 1.97 1.95 2.13 2.48 2.91 3.31 3.64 3.93 4.27 4.71 5.20 5.61 5.74 5.49 4.89 4.10 3.33 2.76 2.44 2.29 2.16 1.96 1.67 1.38 1.20 1.16 1.24 1.36 1.39 1.31 1.13 0.90 0.71 0.59 0.53 0.50 0.47 0.40 0.29 0.17 0.06 0.04 0.11 0.29 0.50 0.66 0.68 0.58 0.43 0.35 0.47 0.78 1.20 1.56 1.73 1.67 1.46 1.27 1.20 1.28 1.41 1.48 1.41 1.22 1.03 0.98 1.14 1.48 1.85 2.11 2.18 2.09 1.97 1.95 2.13 2.48 2.91 3.31 3.64 3.93 4.27 4.71 5.20 5.61 5.74 5.49 4.89 4.10 3.33 2.76 2.44 2.29 2.16 1.96 1.67 1.38 1.20 1.16 1.24 1.36 1.39 1.31 1.13 0.90 0.71 0.59 0.53 0.50 0.47 0.40 0.29 0.17 0.06 0.04 0.11 0.29 0.50 0.66 0.68 0.58 0.43 0.35 0.47 0.78 1.20 1.56 1.73 1.67 1.46 1.27 1.20 1.28 1.41 1.48 1.41 1.22 1.03 40.0 + 42.5 1.23 1.23 1.44 1.80 2.16 2.37 2.38 2.22 2.02 1.93 2.03 2.29 2.61 2.90 3.13 3.33 3.60 3.99 4.43 4.80 4.90 4.64 4.07 3.34 2.68 2.23 2.03 1.97 1.92 1.77 1.53 1.29 1.14 1.14 1.26 1.41 1.49 1.46 1.34 1.17 1.02 0.92 0.88 0.86 0.83 0.76 0.63 0.47 0.33 0.26 0.31 0.47 0.67 0.82 0.84 0.73 0.60 0.57 0.74 1.12 1.59 1.97 2.14 2.05 1.82 1.58 1.46 1.49 1.58 1.62 1.54 1.37 1.23 1.23 1.44 1.80 2.16 2.37 2.38 2.22 2.02 1.93 2.03 2.29 2.61 2.90 3.13 3.33 3.60 3.99 4.43 4.80 4.90 4.64 4.07 3.34 2.68 2.23 2.03 1.97 1.92 1.77 1.53 1.29 1.14 1.14 1.26 1.41 1.49 1.46 1.34 1.17 1.02 0.92 0.88 0.86 0.83 0.76 0.63 0.47 0.33 0.26 0.31 0.47 0.67 0.82 0.84 0.73 0.60 0.57 0.74 1.12 1.59 1.97 2.14 2.05 1.82 1.58 1.46 1.49 1.58 1.62 1.54 1.37 1.23 42.5 + 45.0 1.44 1.46 1.68 2.01 2.32 2.46 2.38 2.14 1.88 1.73 1.76 1.94 2.16 2.34 2.44 2.53 2.69 2.98 3.35 3.65 3.73 3.50 2.99 2.37 1.84 1.53 1.44 1.48 1.50 1.42 1.23 1.02 0.90 0.91 1.04 1.21 1.34 1.39 1.34 1.25 1.17 1.12 1.12 1.14 1.15 1.11 0.99 0.82 0.66 0.56 0.59 0.74 0.93 1.07 1.10 1.01 0.91 0.93 1.18 1.63 2.15 2.56 2.72 2.62 2.34 2.05 1.87 1.83 1.85 1.84 1.73 1.56 1.44 1.46 1.68 2.01 2.32 2.46 2.38 2.14 1.88 1.73 1.76 1.94 2.16 2.34 2.44 2.53 2.69 2.98 3.35 3.65 3.73 3.50 2.99 2.37 1.84 1.53 1.44 1.48 1.50 1.42 1.23 1.02 0.90 0.91 1.04 1.21 1.34 1.39 1.34 1.25 1.17 1.12 1.12 1.14 1.15 1.11 0.99 0.82 0.66 0.56 0.59 0.74 0.93 1.07 1.10 1.01 0.91 0.93 1.18 1.63 2.15 2.56 2.72 2.62 2.34 2.05 1.87 1.83 1.85 1.84 1.73 1.56 1.44 45.0 + 47.5 1.63 1.64 1.81 2.07 2.28 2.33 2.16 1.86 1.55 1.38 1.38 1.51 1.66 1.75 1.74 1.72 1.77 1.96 2.24 2.49 2.56 2.37 1.96 1.46 1.07 0.87 0.88 0.99 1.07 1.03 0.89 0.71 0.58 0.58 0.68 0.84 0.99 1.09 1.12 1.10 1.08 1.08 1.13 1.21 1.28 1.30 1.24 1.10 0.94 0.84 0.85 0.99 1.18 1.34 1.38 1.34 1.30 1.40 1.73 2.25 2.81 3.24 3.40 3.28 2.97 2.64 2.41 2.30 2.24 2.15 1.98 1.78 1.63 1.64 1.81 2.07 2.28 2.33 2.16 1.86 1.55 1.38 1.38 1.51 1.66 1.75 1.74 1.72 1.77 1.96 2.24 2.49 2.56 2.37 1.96 1.46 1.07 0.87 0.88 0.99 1.07 1.03 0.89 0.71 0.58 0.58 0.68 0.84 0.99 1.09 1.12 1.10 1.08 1.08 1.13 1.21 1.28 1.30 1.24 1.10 0.94 0.84 0.85 0.99 1.18 1.34 1.38 1.34 1.30 1.40 1.73 2.25 2.81 3.24 3.40 3.28 2.97 2.64 2.41 2.30 2.24 2.15 1.98 1.78 1.63 47.5 + 50.0 1.75 1.69 1.78 1.94 2.04 1.98 1.74 1.41 1.11 0.95 0.97 1.09 1.21 1.23 1.15 1.05 1.02 1.13 1.35 1.57 1.64 1.50 1.19 0.82 0.54 0.44 0.51 0.66 0.76 0.76 0.64 0.48 0.34 0.29 0.33 0.44 0.58 0.68 0.75 0.77 0.79 0.82 0.91 1.04 1.19 1.30 1.32 1.24 1.11 1.01 1.03 1.16 1.37 1.55 1.65 1.68 1.73 1.93 2.34 2.92 3.51 3.94 4.09 3.95 3.63 3.27 2.99 2.81 2.67 2.49 2.24 1.96 1.75 1.69 1.78 1.94 2.04 1.98 1.74 1.41 1.11 0.95 0.97 1.09 1.21 1.23 1.15 1.05 1.02 1.13 1.35 1.57 1.64 1.50 1.19 0.82 0.54 0.44 0.51 0.66 0.76 0.76 0.64 0.48 0.34 0.29 0.33 0.44 0.58 0.68 0.75 0.77 0.79 0.82 0.91 1.04 1.19 1.30 1.32 1.24 1.11 1.01 1.03 1.16 1.37 1.55 1.65 1.68 1.73 1.93 2.34 2.92 3.51 3.94 4.09 3.95 3.63 3.27 2.99 2.81 2.67 2.49 2.24 1.96 1.75 50.0 + 52.5 1.74 1.59 1.58 1.63 1.63 1.50 1.22 0.90 0.64 0.53 0.59 0.73 0.84 0.84 0.73 0.58 0.52 0.59 0.78 0.98 1.07 0.98 0.76 0.50 0.31 0.28 0.39 0.55 0.66 0.67 0.57 0.41 0.25 0.16 0.14 0.18 0.26 0.34 0.40 0.43 0.45 0.49 0.60 0.77 0.98 1.17 1.26 1.24 1.15 1.08 1.11 1.26 1.48 1.71 1.88 2.00 2.17 2.47 2.96 3.57 4.16 4.57 4.68 4.52 4.19 3.82 3.50 3.26 3.02 2.74 2.39 2.03 1.74 1.59 1.58 1.63 1.63 1.50 1.22 0.90 0.64 0.53 0.59 0.73 0.84 0.84 0.73 0.58 0.52 0.59 0.78 0.98 1.07 0.98 0.76 0.50 0.31 0.28 0.39 0.55 0.66 0.67 0.57 0.41 0.25 0.16 0.14 0.18 0.26 0.34 0.40 0.43 0.45 0.49 0.60 0.77 0.98 1.17 1.26 1.24 1.15 1.08 1.11 1.26 1.48 1.71 1.88 2.00 2.17 2.47 2.96 3.57 4.16 4.57 4.68 4.52 4.19 3.82 3.50 3.26 3.02 2.74 2.39 2.03 1.74 52.5 + 55.0 1.54 1.32 1.23 1.20 1.14 0.96 0.69 0.41 0.21 0.17 0.29 0.46 0.57 0.56 0.44 0.30 0.24 0.31 0.49 0.69 0.78 0.74 0.58 0.40 0.30 0.32 0.44 0.59 0.69 0.69 0.60 0.46 0.31 0.20 0.14 0.13 0.15 0.19 0.22 0.22 0.23 0.27 0.37 0.56 0.80 1.01 1.15 1.17 1.12 1.08 1.13 1.31 1.56 1.84 2.09 2.33 2.60 3.00 3.53 4.13 4.67 5.01 5.07 4.87 4.53 4.15 3.81 3.51 3.19 2.81 2.36 1.91 1.54 1.32 1.23 1.20 1.14 0.96 0.69 0.41 0.21 0.17 0.29 0.46 0.57 0.56 0.44 0.30 0.24 0.31 0.49 0.69 0.78 0.74 0.58 0.40 0.30 0.32 0.44 0.59 0.69 0.69 0.60 0.46 0.31 0.20 0.14 0.13 0.15 0.19 0.22 0.22 0.23 0.27 0.37 0.56 0.80 1.01 1.15 1.17 1.12 1.08 1.13 1.31 1.56 1.84 2.09 2.33 2.60 3.00 3.53 4.13 4.67 5.01 5.07 4.87 4.53 4.15 3.81 3.51 3.19 2.81 2.36 1.91 1.54 55.0 + 57.5 1.20 0.93 0.79 0.72 0.63 0.46 0.22 0.00 0.00 0.00 0.05 0.24 0.35 0.34 0.24 0.12 0.09 0.19 0.38 0.56 0.65 0.62 0.49 0.36 0.32 0.38 0.51 0.65 0.72 0.72 0.64 0.53 0.41 0.32 0.26 0.24 0.23 0.24 0.24 0.23 0.23 0.25 0.35 0.51 0.73 0.94 1.07 1.11 1.09 1.09 1.17 1.37 1.66 1.99 2.31 2.63 2.99 3.44 3.96 4.50 4.94 5.17 5.15 4.92 4.57 4.19 3.84 3.49 3.10 2.64 2.13 1.62 1.20 0.93 0.79 0.72 0.63 0.46 0.22 0.00 0.00 0.00 0.05 0.24 0.35 0.34 0.24 0.12 0.09 0.19 0.38 0.56 0.65 0.62 0.49 0.36 0.32 0.38 0.51 0.65 0.72 0.72 0.64 0.53 0.41 0.32 0.26 0.24 0.23 0.24 0.24 0.23 0.23 0.25 0.35 0.51 0.73 0.94 1.07 1.11 1.09 1.09 1.17 1.37 1.66 1.99 2.31 2.63 2.99 3.44 3.96 4.50 4.94 5.17 5.15 4.92 4.57 4.19 3.84 3.49 3.10 2.64 2.13 1.62 1.20 57.5 + 60.0 0.81 0.52 0.36 0.28 0.19 0.05 0.00 0.00 0.00 0.00 0.00 0.04 0.15 0.14 0.06 0.00 0.01 0.14 0.33 0.49 0.55 0.48 0.36 0.26 0.25 0.34 0.48 0.60 0.65 0.64 0.58 0.51 0.46 0.43 0.41 0.41 0.42 0.43 0.43 0.43 0.43 0.45 0.52 0.64 0.81 0.96 1.06 1.10 1.11 1.14 1.25 1.48 1.80 2.16 2.53 2.90 3.30 3.73 4.19 4.61 4.90 5.00 4.89 4.63 4.29 3.93 3.58 3.22 2.80 2.31 1.76 1.24 0.81 0.52 0.36 0.28 0.19 0.05 0.00 0.00 0.00 0.00 0.00 0.04 0.15 0.14 0.06 0.00 0.01 0.14 0.33 0.49 0.55 0.48 0.36 0.26 0.25 0.34 0.48 0.60 0.65 0.64 0.58 0.51 0.46 0.43 0.41 0.41 0.42 0.43 0.43 0.43 0.43 0.45 0.52 0.64 0.81 0.96 1.06 1.10 1.11 1.14 1.25 1.48 1.80 2.16 2.53 2.90 3.30 3.73 4.19 4.61 4.90 5.00 4.89 4.63 4.29 3.93 3.58 3.22 2.80 2.31 1.76 1.24 0.81 60.0 + 62.5 0.49 0.20 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.29 0.41 0.41 0.30 0.15 0.06 0.07 0.17 0.31 0.42 0.46 0.44 0.40 0.38 0.40 0.44 0.50 0.55 0.60 0.64 0.69 0.72 0.75 0.77 0.81 0.88 0.97 1.05 1.10 1.13 1.16 1.23 1.39 1.64 1.97 2.33 2.71 3.08 3.46 3.83 4.16 4.42 4.55 4.52 4.34 4.06 3.75 3.44 3.13 2.79 2.39 1.92 1.40 0.90 0.49 0.20 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.29 0.41 0.41 0.30 0.15 0.06 0.07 0.17 0.31 0.42 0.46 0.44 0.40 0.38 0.40 0.44 0.50 0.55 0.60 0.64 0.69 0.72 0.75 0.77 0.81 0.88 0.97 1.05 1.10 1.13 1.16 1.23 1.39 1.64 1.97 2.33 2.71 3.08 3.46 3.83 4.16 4.42 4.55 4.52 4.34 4.06 3.75 3.44 3.13 2.79 2.39 1.92 1.40 0.90 0.49 62.5 + 65.0 0.36 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.26 0.34 0.29 0.13 0.00 0.00 0.00 0.00 0.11 0.21 0.24 0.22 0.20 0.22 0.30 0.40 0.51 0.61 0.71 0.81 0.91 1.01 1.07 1.11 1.13 1.13 1.14 1.15 1.16 1.18 1.24 1.36 1.56 1.83 2.15 2.50 2.84 3.17 3.47 3.73 3.92 4.01 3.98 3.84 3.61 3.35 3.09 2.85 2.62 2.36 2.03 1.64 1.19 0.75 0.36 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.26 0.34 0.29 0.13 0.00 0.00 0.00 0.00 0.11 0.21 0.24 0.22 0.20 0.22 0.30 0.40 0.51 0.61 0.71 0.81 0.91 1.01 1.07 1.11 1.13 1.13 1.14 1.15 1.16 1.18 1.24 1.36 1.56 1.83 2.15 2.50 2.84 3.17 3.47 3.73 3.92 4.01 3.98 3.84 3.61 3.35 3.09 2.85 2.62 2.36 2.03 1.64 1.19 0.75 0.36 65.0 + 67.5 0.48 0.20 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.30 0.35 0.26 0.08 0.00 0.00 0.00 0.00 0.01 0.09 0.12 0.11 0.11 0.15 0.24 0.35 0.48 0.60 0.74 0.90 1.07 1.23 1.35 1.40 1.39 1.35 1.29 1.24 1.23 1.27 1.36 1.53 1.76 2.03 2.34 2.64 2.92 3.16 3.36 3.49 3.54 3.48 3.34 3.12 2.88 2.66 2.47 2.33 2.19 2.04 1.83 1.55 1.21 0.83 0.48 0.20 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.30 0.35 0.26 0.08 0.00 0.00 0.00 0.00 0.01 0.09 0.12 0.11 0.11 0.15 0.24 0.35 0.48 0.60 0.74 0.90 1.07 1.23 1.35 1.40 1.39 1.35 1.29 1.24 1.23 1.27 1.36 1.53 1.76 2.03 2.34 2.64 2.92 3.16 3.36 3.49 3.54 3.48 3.34 3.12 2.88 2.66 2.47 2.33 2.19 2.04 1.83 1.55 1.21 0.83 0.48 67.5 + 70.0 0.81 0.52 0.28 0.12 0.03 0.00 0.00 0.00 0.00 0.00 0.01 0.03 0.01 0.00 0.00 0.00 0.12 0.30 0.45 0.49 0.39 0.21 0.02 0.00 0.00 0.00 0.09 0.16 0.18 0.17 0.17 0.20 0.27 0.35 0.45 0.58 0.74 0.95 1.18 1.41 1.57 1.64 1.62 1.55 1.45 1.38 1.36 1.41 1.53 1.73 1.97 2.24 2.50 2.74 2.94 3.09 3.18 3.20 3.14 2.99 2.77 2.53 2.30 2.12 2.01 1.95 1.92 1.89 1.81 1.66 1.43 1.14 0.81 0.52 0.28 0.12 0.03 0.00 0.00 0.00 0.00 0.00 0.01 0.03 0.01 0.00 0.00 0.00 0.12 0.30 0.45 0.49 0.39 0.21 0.02 0.00 0.00 0.00 0.09 0.16 0.18 0.17 0.17 0.20 0.27 0.35 0.45 0.58 0.74 0.95 1.18 1.41 1.57 1.64 1.62 1.55 1.45 1.38 1.36 1.41 1.53 1.73 1.97 2.24 2.50 2.74 2.94 3.09 3.18 3.20 3.14 2.99 2.77 2.53 2.30 2.12 2.01 1.95 1.92 1.89 1.81 1.66 1.43 1.14 0.81 70.0 + 72.5 1.24 0.93 0.67 0.48 0.37 0.31 0.29 0.28 0.29 0.31 0.33 0.33 0.30 0.25 0.21 0.24 0.35 0.52 0.66 0.71 0.65 0.49 0.33 0.22 0.20 0.25 0.32 0.37 0.37 0.35 0.34 0.34 0.36 0.40 0.46 0.57 0.75 1.00 1.30 1.57 1.78 1.87 1.86 1.79 1.68 1.60 1.58 1.63 1.76 1.96 2.19 2.43 2.64 2.80 2.91 2.96 2.96 2.90 2.78 2.59 2.37 2.13 1.93 1.79 1.72 1.73 1.79 1.86 1.91 1.88 1.76 1.53 1.24 0.93 0.67 0.48 0.37 0.31 0.29 0.28 0.29 0.31 0.33 0.33 0.30 0.25 0.21 0.24 0.35 0.52 0.66 0.71 0.65 0.49 0.33 0.22 0.20 0.25 0.32 0.37 0.37 0.35 0.34 0.34 0.36 0.40 0.46 0.57 0.75 1.00 1.30 1.57 1.78 1.87 1.86 1.79 1.68 1.60 1.58 1.63 1.76 1.96 2.19 2.43 2.64 2.80 2.91 2.96 2.96 2.90 2.78 2.59 2.37 2.13 1.93 1.79 1.72 1.73 1.79 1.86 1.91 1.88 1.76 1.53 1.24 72.5 + 75.0 1.60 1.30 1.03 0.83 0.71 0.64 0.61 0.59 0.59 0.61 0.64 0.65 0.62 0.56 0.50 0.49 0.56 0.70 0.85 0.93 0.91 0.81 0.67 0.56 0.52 0.52 0.55 0.56 0.54 0.51 0.47 0.44 0.43 0.44 0.50 0.62 0.83 1.13 1.46 1.76 1.99 2.11 2.13 2.07 1.98 1.90 1.87 1.90 2.00 2.17 2.37 2.55 2.69 2.77 2.78 2.74 2.67 2.58 2.46 2.29 2.10 1.90 1.71 1.59 1.54 1.58 1.70 1.85 2.00 2.07 2.03 1.87 1.60 1.30 1.03 0.83 0.71 0.64 0.61 0.59 0.59 0.61 0.64 0.65 0.62 0.56 0.50 0.49 0.56 0.70 0.85 0.93 0.91 0.81 0.67 0.56 0.52 0.52 0.55 0.56 0.54 0.51 0.47 0.44 0.43 0.44 0.50 0.62 0.83 1.13 1.46 1.76 1.99 2.11 2.13 2.07 1.98 1.90 1.87 1.90 2.00 2.17 2.37 2.55 2.69 2.77 2.78 2.74 2.67 2.58 2.46 2.29 2.10 1.90 1.71 1.59 1.54 1.58 1.70 1.85 2.00 2.07 2.03 1.87 1.60 75.0 + 77.5 1.78 1.51 1.26 1.07 0.94 0.86 0.79 0.75 0.73 0.76 0.81 0.85 0.84 0.77 0.67 0.61 0.62 0.73 0.88 1.00 1.04 0.98 0.86 0.74 0.66 0.62 0.61 0.59 0.55 0.50 0.44 0.40 0.40 0.44 0.54 0.73 1.00 1.33 1.67 1.97 2.19 2.32 2.36 2.33 2.27 2.19 2.13 2.10 2.15 2.25 2.40 2.52 2.59 2.57 2.49 2.37 2.26 2.17 2.09 2.00 1.87 1.71 1.54 1.40 1.35 1.39 1.54 1.75 1.96 2.11 2.13 2.01 1.78 1.51 1.26 1.07 0.94 0.86 0.79 0.75 0.73 0.76 0.81 0.85 0.84 0.77 0.67 0.61 0.62 0.73 0.88 1.00 1.04 0.98 0.86 0.74 0.66 0.62 0.61 0.59 0.55 0.50 0.44 0.40 0.40 0.44 0.54 0.73 1.00 1.33 1.67 1.97 2.19 2.32 2.36 2.33 2.27 2.19 2.13 2.10 2.15 2.25 2.40 2.52 2.59 2.57 2.49 2.37 2.26 2.17 2.09 2.00 1.87 1.71 1.54 1.40 1.35 1.39 1.54 1.75 1.96 2.11 2.13 2.01 1.78 77.5 + 80.0 1.73 1.51 1.31 1.14 1.01 0.89 0.78 0.68 0.65 0.68 0.77 0.86 0.87 0.79 0.64 0.50 0.45 0.52 0.68 0.84 0.93 0.90 0.79 0.65 0.53 0.46 0.42 0.39 0.34 0.28 0.23 0.21 0.26 0.40 0.62 0.91 1.25 1.59 1.88 2.12 2.28 2.38 2.44 2.44 2.40 2.31 2.20 2.10 2.06 2.10 2.19 2.26 2.26 2.16 1.99 1.80 1.67 1.62 1.62 1.63 1.58 1.46 1.29 1.12 1.04 1.08 1.25 1.50 1.76 1.94 1.99 1.91 1.73 1.51 1.31 1.14 1.01 0.89 0.78 0.68 0.65 0.68 0.77 0.86 0.87 0.79 0.64 0.50 0.45 0.52 0.68 0.84 0.93 0.90 0.79 0.65 0.53 0.46 0.42 0.39 0.34 0.28 0.23 0.21 0.26 0.40 0.62 0.91 1.25 1.59 1.88 2.12 2.28 2.38 2.44 2.44 2.40 2.31 2.20 2.10 2.06 2.10 2.19 2.26 2.26 2.16 1.99 1.80 1.67 1.62 1.62 1.63 1.58 1.46 1.29 1.12 1.04 1.08 1.25 1.50 1.76 1.94 1.99 1.91 1.73 80.0 + 82.5 1.48 1.32 1.18 1.05 0.92 0.75 0.57 0.42 0.36 0.41 0.54 0.66 0.70 0.59 0.39 0.18 0.07 0.12 0.28 0.48 0.60 0.60 0.48 0.32 0.19 0.11 0.08 0.07 0.03 0.00 0.00 0.00 0.12 0.39 0.75 1.16 1.54 1.84 2.03 2.13 2.18 2.21 2.25 2.27 2.24 2.13 1.96 1.79 1.69 1.67 1.72 1.76 1.71 1.54 1.29 1.06 0.93 0.93 1.04 1.15 1.19 1.10 0.91 0.72 0.61 0.65 0.84 1.12 1.40 1.60 1.67 1.62 1.48 1.32 1.18 1.05 0.92 0.75 0.57 0.42 0.36 0.41 0.54 0.66 0.70 0.59 0.39 0.18 0.07 0.12 0.28 0.48 0.60 0.60 0.48 0.32 0.19 0.11 0.08 0.07 0.03 0.00 0.00 0.00 0.12 0.39 0.75 1.16 1.54 1.84 2.03 2.13 2.18 2.21 2.25 2.27 2.24 2.13 1.96 1.79 1.69 1.67 1.72 1.76 1.71 1.54 1.29 1.06 0.93 0.93 1.04 1.15 1.19 1.10 0.91 0.72 0.61 0.65 0.84 1.12 1.40 1.60 1.67 1.62 1.48 82.5 + 85.0 1.15 1.06 0.97 0.87 0.73 0.52 0.27 0.07 0.00 0.04 0.21 0.37 0.42 0.29 0.03 0.00 0.00 0.00 0.00 0.06 0.21 0.22 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.49 0.97 1.45 1.82 2.02 2.05 1.96 1.84 1.77 1.76 1.77 1.74 1.62 1.42 1.21 1.06 1.02 1.06 1.09 1.02 0.82 0.53 0.27 0.15 0.22 0.42 0.63 0.73 0.67 0.47 0.26 0.14 0.19 0.40 0.71 1.00 1.20 1.28 1.24 1.15 1.06 0.97 0.87 0.73 0.52 0.27 0.07 0.00 0.04 0.21 0.37 0.42 0.29 0.03 0.00 0.00 0.00 0.00 0.06 0.21 0.22 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.49 0.97 1.45 1.82 2.02 2.05 1.96 1.84 1.77 1.76 1.77 1.74 1.62 1.42 1.21 1.06 1.02 1.06 1.09 1.02 0.82 0.53 0.27 0.15 0.22 0.42 0.63 0.73 0.67 0.47 0.26 0.14 0.19 0.40 0.71 1.00 1.20 1.28 1.24 1.15 85.0 + 87.5 0.88 0.84 0.80 0.72 0.56 0.31 0.01 0.00 0.00 0.00 0.00 0.14 0.19 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.32 0.76 1.28 1.74 2.02 2.07 1.90 1.61 1.33 1.14 1.08 1.07 1.04 0.92 0.72 0.50 0.36 0.35 0.41 0.46 0.40 0.18 0.00 0.00 0.00 0.00 0.00 0.21 0.35 0.29 0.09 0.00 0.00 0.00 0.06 0.38 0.68 0.87 0.94 0.93 0.88 0.84 0.80 0.72 0.56 0.31 0.01 0.00 0.00 0.00 0.00 0.14 0.19 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.32 0.76 1.28 1.74 2.02 2.07 1.90 1.61 1.33 1.14 1.08 1.07 1.04 0.92 0.72 0.50 0.36 0.35 0.41 0.46 0.40 0.18 0.00 0.00 0.00 0.00 0.00 0.21 0.35 0.29 0.09 0.00 0.00 0.00 0.06 0.38 0.68 0.87 0.94 0.93 0.88 87.5 + 90.0 0.77 0.78 0.77 0.70 0.53 0.24 0.00 0.00 0.00 0.00 0.00 0.10 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.05 0.00 0.00 0.00 0.00 0.09 0.26 0.35 0.37 0.39 0.50 0.76 1.17 1.61 1.96 2.10 1.96 1.61 1.17 0.76 0.50 0.39 0.37 0.35 0.26 0.09 0.00 0.00 0.00 0.00 0.05 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.10 0.00 0.00 0.00 0.00 0.00 0.24 0.53 0.70 0.77 0.78 0.77 0.78 0.77 0.70 0.53 0.24 0.00 0.00 0.00 0.00 0.00 0.10 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.05 0.00 0.00 0.00 0.00 0.09 0.26 0.35 0.37 0.39 0.50 0.76 1.17 1.61 1.96 2.10 1.96 1.61 1.17 0.76 0.50 0.39 0.37 0.35 0.26 0.09 0.00 0.00 0.00 0.00 0.05 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.10 0.00 0.00 0.00 0.00 0.00 0.24 0.53 0.70 0.77 0.78 0.77 90.0 + + 75.0 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.91 ) PHI2 = 75. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 0.0 + 2.5 1.08 1.30 1.55 1.80 2.05 2.23 2.30 2.25 2.08 1.85 1.60 1.36 1.13 0.91 0.70 0.53 0.41 0.36 0.36 0.33 0.23 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.26 0.37 0.41 0.41 0.45 0.54 0.70 0.90 1.11 1.34 1.57 1.81 2.03 2.18 2.23 2.16 1.99 1.76 1.52 1.28 1.06 0.85 0.66 0.51 0.42 0.40 0.41 0.39 0.28 0.08 0.00 0.00 0.00 0.00 0.00 0.07 0.25 0.34 0.35 0.35 0.39 0.49 0.66 0.86 1.08 1.30 1.55 1.80 2.05 2.23 2.30 2.25 2.08 1.85 1.60 1.36 1.13 0.91 0.70 0.53 0.41 0.36 0.36 0.33 0.23 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.26 0.37 0.41 0.41 0.45 0.54 0.70 0.90 1.11 1.34 1.57 1.81 2.03 2.18 2.23 2.16 1.99 1.76 1.52 1.28 1.06 0.85 0.66 0.51 0.42 0.40 0.41 0.39 0.28 0.08 0.00 0.00 0.00 0.00 0.00 0.07 0.25 0.34 0.35 0.35 0.39 0.49 0.66 0.86 1.08 2.5 + 5.0 0.95 1.20 1.49 1.80 2.11 2.35 2.46 2.43 2.25 1.99 1.70 1.42 1.16 0.93 0.71 0.52 0.39 0.33 0.32 0.32 0.27 0.14 0.00 0.00 0.00 0.00 0.00 0.12 0.33 0.45 0.49 0.48 0.47 0.53 0.65 0.84 1.07 1.32 1.57 1.82 2.03 2.16 2.18 2.09 1.90 1.66 1.40 1.14 0.90 0.69 0.52 0.42 0.39 0.43 0.48 0.48 0.38 0.20 0.00 0.00 0.00 0.00 0.03 0.20 0.30 0.32 0.28 0.25 0.27 0.37 0.53 0.73 0.95 1.20 1.49 1.80 2.11 2.35 2.46 2.43 2.25 1.99 1.70 1.42 1.16 0.93 0.71 0.52 0.39 0.33 0.32 0.32 0.27 0.14 0.00 0.00 0.00 0.00 0.00 0.12 0.33 0.45 0.49 0.48 0.47 0.53 0.65 0.84 1.07 1.32 1.57 1.82 2.03 2.16 2.18 2.09 1.90 1.66 1.40 1.14 0.90 0.69 0.52 0.42 0.39 0.43 0.48 0.48 0.38 0.20 0.00 0.00 0.00 0.00 0.03 0.20 0.30 0.32 0.28 0.25 0.27 0.37 0.53 0.73 0.95 5.0 + 7.5 0.75 1.02 1.35 1.73 2.11 2.43 2.60 2.59 2.41 2.13 1.80 1.49 1.23 0.99 0.77 0.58 0.43 0.35 0.34 0.37 0.36 0.30 0.16 0.00 0.00 0.00 0.00 0.18 0.38 0.51 0.55 0.52 0.47 0.46 0.54 0.70 0.94 1.22 1.50 1.75 1.94 2.04 2.03 1.91 1.72 1.47 1.20 0.92 0.66 0.45 0.31 0.27 0.32 0.43 0.52 0.53 0.44 0.26 0.08 0.00 0.00 0.05 0.19 0.29 0.31 0.26 0.17 0.10 0.11 0.20 0.35 0.53 0.75 1.02 1.35 1.73 2.11 2.43 2.60 2.59 2.41 2.13 1.80 1.49 1.23 0.99 0.77 0.58 0.43 0.35 0.34 0.37 0.36 0.30 0.16 0.00 0.00 0.00 0.00 0.18 0.38 0.51 0.55 0.52 0.47 0.46 0.54 0.70 0.94 1.22 1.50 1.75 1.94 2.04 2.03 1.91 1.72 1.47 1.20 0.92 0.66 0.45 0.31 0.27 0.32 0.43 0.52 0.53 0.44 0.26 0.08 0.00 0.00 0.05 0.19 0.29 0.31 0.26 0.17 0.10 0.11 0.20 0.35 0.53 0.75 7.5 + 10.0 0.50 0.76 1.11 1.54 1.99 2.38 2.61 2.64 2.48 2.19 1.86 1.56 1.31 1.11 0.92 0.74 0.58 0.48 0.46 0.49 0.53 0.51 0.39 0.22 0.05 0.00 0.03 0.19 0.39 0.53 0.57 0.51 0.40 0.33 0.35 0.48 0.73 1.03 1.33 1.58 1.74 1.79 1.75 1.63 1.45 1.22 0.95 0.67 0.40 0.19 0.08 0.09 0.21 0.37 0.47 0.47 0.35 0.17 0.01 0.00 0.00 0.12 0.24 0.29 0.25 0.14 0.01 0.00 0.00 0.03 0.15 0.31 0.50 0.76 1.11 1.54 1.99 2.38 2.61 2.64 2.48 2.19 1.86 1.56 1.31 1.11 0.92 0.74 0.58 0.48 0.46 0.49 0.53 0.51 0.39 0.22 0.05 0.00 0.03 0.19 0.39 0.53 0.57 0.51 0.40 0.33 0.35 0.48 0.73 1.03 1.33 1.58 1.74 1.79 1.75 1.63 1.45 1.22 0.95 0.67 0.40 0.19 0.08 0.09 0.21 0.37 0.47 0.47 0.35 0.17 0.01 0.00 0.00 0.12 0.24 0.29 0.25 0.14 0.01 0.00 0.00 0.03 0.15 0.31 0.50 10.0 + 12.5 0.23 0.46 0.80 1.25 1.74 2.18 2.46 2.54 2.41 2.15 1.86 1.60 1.42 1.28 1.14 0.98 0.81 0.69 0.64 0.67 0.72 0.72 0.62 0.42 0.19 0.04 0.03 0.16 0.35 0.51 0.56 0.48 0.32 0.18 0.14 0.25 0.50 0.81 1.11 1.34 1.47 1.48 1.42 1.31 1.15 0.96 0.72 0.45 0.18 0.00 0.00 0.00 0.10 0.28 0.36 0.32 0.15 0.00 0.00 0.00 0.00 0.05 0.18 0.20 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.23 0.46 0.80 1.25 1.74 2.18 2.46 2.54 2.41 2.15 1.86 1.60 1.42 1.28 1.14 0.98 0.81 0.69 0.64 0.67 0.72 0.72 0.62 0.42 0.19 0.04 0.03 0.16 0.35 0.51 0.56 0.48 0.32 0.18 0.14 0.25 0.50 0.81 1.11 1.34 1.47 1.48 1.42 1.31 1.15 0.96 0.72 0.45 0.18 0.00 0.00 0.00 0.10 0.28 0.36 0.32 0.15 0.00 0.00 0.00 0.00 0.05 0.18 0.20 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.23 12.5 + 15.0 0.00 0.17 0.49 0.93 1.44 1.91 2.22 2.33 2.24 2.04 1.81 1.63 1.53 1.46 1.38 1.24 1.06 0.90 0.82 0.83 0.88 0.89 0.78 0.55 0.27 0.07 0.01 0.13 0.34 0.52 0.57 0.47 0.28 0.09 0.02 0.11 0.36 0.67 0.97 1.17 1.25 1.23 1.16 1.06 0.94 0.79 0.59 0.34 0.08 0.00 0.00 0.00 0.07 0.23 0.28 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.49 0.93 1.44 1.91 2.22 2.33 2.24 2.04 1.81 1.63 1.53 1.46 1.38 1.24 1.06 0.90 0.82 0.83 0.88 0.89 0.78 0.55 0.27 0.07 0.01 0.13 0.34 0.52 0.57 0.47 0.28 0.09 0.02 0.11 0.36 0.67 0.97 1.17 1.25 1.23 1.16 1.06 0.94 0.79 0.59 0.34 0.08 0.00 0.00 0.00 0.07 0.23 0.28 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 15.0 + 17.5 0.00 0.00 0.26 0.69 1.20 1.66 1.98 2.10 2.05 1.90 1.75 1.66 1.64 1.64 1.58 1.43 1.23 1.03 0.92 0.91 0.96 0.97 0.86 0.62 0.32 0.09 0.03 0.16 0.38 0.58 0.64 0.53 0.32 0.12 0.04 0.14 0.39 0.70 0.98 1.16 1.20 1.15 1.07 0.98 0.90 0.79 0.62 0.38 0.13 0.00 0.00 0.00 0.17 0.32 0.32 0.16 0.00 0.00 0.00 0.00 0.00 0.01 0.14 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.26 0.69 1.20 1.66 1.98 2.10 2.05 1.90 1.75 1.66 1.64 1.64 1.58 1.43 1.23 1.03 0.92 0.91 0.96 0.97 0.86 0.62 0.32 0.09 0.03 0.16 0.38 0.58 0.64 0.53 0.32 0.12 0.04 0.14 0.39 0.70 0.98 1.16 1.20 1.15 1.07 0.98 0.90 0.79 0.62 0.38 0.13 0.00 0.00 0.00 0.17 0.32 0.32 0.16 0.00 0.00 0.00 0.00 0.00 0.01 0.14 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 17.5 + 20.0 0.00 0.00 0.16 0.59 1.08 1.52 1.81 1.92 1.89 1.79 1.72 1.71 1.75 1.78 1.72 1.55 1.30 1.08 0.94 0.94 0.99 1.01 0.90 0.66 0.37 0.15 0.11 0.25 0.49 0.69 0.75 0.64 0.42 0.24 0.18 0.31 0.57 0.89 1.15 1.30 1.31 1.25 1.16 1.09 1.03 0.93 0.77 0.54 0.30 0.13 0.10 0.22 0.42 0.56 0.54 0.34 0.04 0.00 0.00 0.00 0.06 0.28 0.37 0.30 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.16 0.59 1.08 1.52 1.81 1.92 1.89 1.79 1.72 1.71 1.75 1.78 1.72 1.55 1.30 1.08 0.94 0.94 0.99 1.01 0.90 0.66 0.37 0.15 0.11 0.25 0.49 0.69 0.75 0.64 0.42 0.24 0.18 0.31 0.57 0.89 1.15 1.30 1.31 1.25 1.16 1.09 1.03 0.93 0.77 0.54 0.30 0.13 0.10 0.22 0.42 0.56 0.54 0.34 0.04 0.00 0.00 0.00 0.06 0.28 0.37 0.30 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 20.0 + 22.5 0.00 0.00 0.19 0.62 1.09 1.48 1.73 1.81 1.78 1.73 1.73 1.79 1.88 1.92 1.84 1.64 1.37 1.13 1.01 1.02 1.09 1.10 0.98 0.74 0.46 0.26 0.25 0.40 0.63 0.81 0.83 0.71 0.51 0.35 0.34 0.51 0.79 1.10 1.34 1.47 1.47 1.41 1.33 1.27 1.22 1.13 0.97 0.75 0.52 0.37 0.37 0.52 0.74 0.89 0.87 0.67 0.39 0.16 0.12 0.27 0.53 0.73 0.77 0.63 0.39 0.17 0.04 0.01 0.03 0.01 0.00 0.00 0.00 0.00 0.19 0.62 1.09 1.48 1.73 1.81 1.78 1.73 1.73 1.79 1.88 1.92 1.84 1.64 1.37 1.13 1.01 1.02 1.09 1.10 0.98 0.74 0.46 0.26 0.25 0.40 0.63 0.81 0.83 0.71 0.51 0.35 0.34 0.51 0.79 1.10 1.34 1.47 1.47 1.41 1.33 1.27 1.22 1.13 0.97 0.75 0.52 0.37 0.37 0.52 0.74 0.89 0.87 0.67 0.39 0.16 0.12 0.27 0.53 0.73 0.77 0.63 0.39 0.17 0.04 0.01 0.03 0.01 0.00 0.00 0.00 22.5 + 25.0 0.00 0.02 0.31 0.73 1.17 1.51 1.69 1.74 1.71 1.71 1.78 1.91 2.05 2.11 2.02 1.81 1.56 1.36 1.30 1.34 1.41 1.40 1.23 0.94 0.64 0.44 0.43 0.57 0.75 0.87 0.84 0.68 0.50 0.38 0.42 0.62 0.90 1.19 1.40 1.50 1.51 1.46 1.40 1.35 1.31 1.22 1.07 0.86 0.66 0.55 0.59 0.78 1.02 1.18 1.18 1.00 0.74 0.57 0.58 0.77 1.03 1.21 1.20 1.00 0.71 0.45 0.31 0.28 0.28 0.23 0.11 0.00 0.00 0.02 0.31 0.73 1.17 1.51 1.69 1.74 1.71 1.71 1.78 1.91 2.05 2.11 2.02 1.81 1.56 1.36 1.30 1.34 1.41 1.40 1.23 0.94 0.64 0.44 0.43 0.57 0.75 0.87 0.84 0.68 0.50 0.38 0.42 0.62 0.90 1.19 1.40 1.50 1.51 1.46 1.40 1.35 1.31 1.22 1.07 0.86 0.66 0.55 0.59 0.78 1.02 1.18 1.18 1.00 0.74 0.57 0.58 0.77 1.03 1.21 1.20 1.00 0.71 0.45 0.31 0.28 0.28 0.23 0.11 0.00 0.00 25.0 + 27.5 0.08 0.17 0.46 0.86 1.26 1.54 1.67 1.67 1.66 1.71 1.86 2.09 2.29 2.39 2.34 2.18 2.00 1.90 1.92 2.01 2.07 1.99 1.72 1.33 0.96 0.72 0.67 0.75 0.86 0.88 0.77 0.58 0.39 0.32 0.39 0.60 0.85 1.09 1.24 1.31 1.30 1.27 1.24 1.22 1.19 1.12 0.98 0.80 0.64 0.58 0.66 0.88 1.14 1.31 1.31 1.15 0.94 0.82 0.88 1.12 1.40 1.57 1.53 1.30 0.98 0.73 0.60 0.58 0.59 0.52 0.36 0.18 0.08 0.17 0.46 0.86 1.26 1.54 1.67 1.67 1.66 1.71 1.86 2.09 2.29 2.39 2.34 2.18 2.00 1.90 1.92 2.01 2.07 1.99 1.72 1.33 0.96 0.72 0.67 0.75 0.86 0.88 0.77 0.58 0.39 0.32 0.39 0.60 0.85 1.09 1.24 1.31 1.30 1.27 1.24 1.22 1.19 1.12 0.98 0.80 0.64 0.58 0.66 0.88 1.14 1.31 1.31 1.15 0.94 0.82 0.88 1.12 1.40 1.57 1.53 1.30 0.98 0.73 0.60 0.58 0.59 0.52 0.36 0.18 0.08 27.5 + 30.0 0.29 0.34 0.61 0.98 1.34 1.57 1.64 1.62 1.62 1.73 1.97 2.30 2.60 2.77 2.80 2.74 2.69 2.74 2.89 3.03 3.06 2.86 2.44 1.90 1.42 1.10 0.98 0.99 1.00 0.92 0.72 0.48 0.30 0.25 0.34 0.52 0.71 0.85 0.92 0.92 0.90 0.87 0.86 0.87 0.86 0.80 0.69 0.55 0.44 0.43 0.55 0.79 1.05 1.22 1.22 1.07 0.89 0.81 0.93 1.22 1.53 1.71 1.68 1.45 1.16 0.94 0.86 0.89 0.91 0.84 0.65 0.42 0.29 0.34 0.61 0.98 1.34 1.57 1.64 1.62 1.62 1.73 1.97 2.30 2.60 2.77 2.80 2.74 2.69 2.74 2.89 3.03 3.06 2.86 2.44 1.90 1.42 1.10 0.98 0.99 1.00 0.92 0.72 0.48 0.30 0.25 0.34 0.52 0.71 0.85 0.92 0.92 0.90 0.87 0.86 0.87 0.86 0.80 0.69 0.55 0.44 0.43 0.55 0.79 1.05 1.22 1.22 1.07 0.89 0.81 0.93 1.22 1.53 1.71 1.68 1.45 1.16 0.94 0.86 0.89 0.91 0.84 0.65 0.42 0.29 30.0 + 32.5 0.50 0.53 0.77 1.13 1.45 1.64 1.66 1.62 1.62 1.78 2.11 2.52 2.91 3.18 3.32 3.40 3.53 3.75 4.03 4.22 4.19 3.86 3.26 2.57 1.96 1.57 1.39 1.32 1.24 1.05 0.78 0.50 0.32 0.29 0.38 0.52 0.63 0.66 0.62 0.54 0.47 0.44 0.44 0.45 0.45 0.41 0.32 0.21 0.14 0.16 0.31 0.56 0.81 0.96 0.94 0.79 0.63 0.60 0.77 1.11 1.47 1.69 1.68 1.49 1.24 1.08 1.06 1.15 1.21 1.15 0.93 0.67 0.50 0.53 0.77 1.13 1.45 1.64 1.66 1.62 1.62 1.78 2.11 2.52 2.91 3.18 3.32 3.40 3.53 3.75 4.03 4.22 4.19 3.86 3.26 2.57 1.96 1.57 1.39 1.32 1.24 1.05 0.78 0.50 0.32 0.29 0.38 0.52 0.63 0.66 0.62 0.54 0.47 0.44 0.44 0.45 0.45 0.41 0.32 0.21 0.14 0.16 0.31 0.56 0.81 0.96 0.94 0.79 0.63 0.60 0.77 1.11 1.47 1.69 1.68 1.49 1.24 1.08 1.06 1.15 1.21 1.15 0.93 0.67 0.50 32.5 + 35.0 0.71 0.74 0.98 1.34 1.65 1.80 1.78 1.70 1.69 1.87 2.24 2.71 3.17 3.51 3.75 3.97 4.26 4.65 5.05 5.28 5.19 4.73 3.99 3.16 2.47 2.03 1.81 1.70 1.56 1.30 0.98 0.69 0.53 0.52 0.61 0.71 0.73 0.66 0.51 0.36 0.24 0.19 0.18 0.19 0.18 0.13 0.04 0.00 0.00 0.00 0.08 0.33 0.57 0.69 0.65 0.49 0.34 0.35 0.57 0.97 1.38 1.64 1.67 1.51 1.30 1.19 1.23 1.36 1.45 1.40 1.18 0.90 0.71 0.74 0.98 1.34 1.65 1.80 1.78 1.70 1.69 1.87 2.24 2.71 3.17 3.51 3.75 3.97 4.26 4.65 5.05 5.28 5.19 4.73 3.99 3.16 2.47 2.03 1.81 1.70 1.56 1.30 0.98 0.69 0.53 0.52 0.61 0.71 0.73 0.66 0.51 0.36 0.24 0.19 0.18 0.19 0.18 0.13 0.04 0.00 0.00 0.00 0.08 0.33 0.57 0.69 0.65 0.49 0.34 0.35 0.57 0.97 1.38 1.64 1.67 1.51 1.30 1.19 1.23 1.36 1.45 1.40 1.18 0.90 0.71 35.0 + 37.5 0.94 1.00 1.27 1.65 1.95 2.07 2.01 1.87 1.82 1.98 2.34 2.81 3.27 3.65 3.95 4.26 4.68 5.18 5.65 5.90 5.76 5.21 4.38 3.49 2.78 2.35 2.15 2.04 1.87 1.59 1.25 0.97 0.84 0.87 0.98 1.06 1.04 0.89 0.68 0.47 0.32 0.25 0.23 0.22 0.19 0.12 0.00 0.00 0.00 0.00 0.00 0.23 0.45 0.55 0.49 0.32 0.19 0.23 0.52 0.97 1.44 1.74 1.79 1.64 1.44 1.33 1.39 1.53 1.63 1.58 1.37 1.10 0.94 1.00 1.27 1.65 1.95 2.07 2.01 1.87 1.82 1.98 2.34 2.81 3.27 3.65 3.95 4.26 4.68 5.18 5.65 5.90 5.76 5.21 4.38 3.49 2.78 2.35 2.15 2.04 1.87 1.59 1.25 0.97 0.84 0.87 0.98 1.06 1.04 0.89 0.68 0.47 0.32 0.25 0.23 0.22 0.19 0.12 0.00 0.00 0.00 0.00 0.00 0.23 0.45 0.55 0.49 0.32 0.19 0.23 0.52 0.97 1.44 1.74 1.79 1.64 1.44 1.33 1.39 1.53 1.63 1.58 1.37 1.10 0.94 37.5 + 40.0 1.18 1.30 1.62 2.01 2.31 2.39 2.27 2.07 1.95 2.05 2.35 2.77 3.19 3.53 3.83 4.17 4.62 5.17 5.67 5.91 5.74 5.14 4.29 3.42 2.76 2.40 2.26 2.19 2.04 1.76 1.44 1.19 1.10 1.17 1.32 1.42 1.40 1.25 1.03 0.81 0.66 0.58 0.55 0.54 0.49 0.39 0.23 0.06 0.00 0.00 0.11 0.34 0.55 0.64 0.57 0.40 0.29 0.38 0.73 1.25 1.76 2.08 2.13 1.96 1.72 1.58 1.60 1.71 1.79 1.73 1.53 1.30 1.18 1.30 1.62 2.01 2.31 2.39 2.27 2.07 1.95 2.05 2.35 2.77 3.19 3.53 3.83 4.17 4.62 5.17 5.67 5.91 5.74 5.14 4.29 3.42 2.76 2.40 2.26 2.19 2.04 1.76 1.44 1.19 1.10 1.17 1.32 1.42 1.40 1.25 1.03 0.81 0.66 0.58 0.55 0.54 0.49 0.39 0.23 0.06 0.00 0.00 0.11 0.34 0.55 0.64 0.57 0.40 0.29 0.38 0.73 1.25 1.76 2.08 2.13 1.96 1.72 1.58 1.60 1.71 1.79 1.73 1.53 1.30 1.18 40.0 + 42.5 1.44 1.60 1.95 2.35 2.62 2.65 2.46 2.18 2.00 2.02 2.25 2.59 2.92 3.18 3.40 3.69 4.11 4.63 5.09 5.31 5.12 4.53 3.72 2.94 2.38 2.12 2.06 2.05 1.94 1.70 1.42 1.20 1.15 1.26 1.44 1.59 1.62 1.52 1.35 1.17 1.05 1.00 0.99 0.99 0.95 0.83 0.65 0.45 0.30 0.28 0.41 0.64 0.85 0.93 0.86 0.72 0.65 0.80 1.21 1.80 2.35 2.69 2.71 2.49 2.19 1.97 1.91 1.95 1.98 1.90 1.70 1.50 1.44 1.60 1.95 2.35 2.62 2.65 2.46 2.18 2.00 2.02 2.25 2.59 2.92 3.18 3.40 3.69 4.11 4.63 5.09 5.31 5.12 4.53 3.72 2.94 2.38 2.12 2.06 2.05 1.94 1.70 1.42 1.20 1.15 1.26 1.44 1.59 1.62 1.52 1.35 1.17 1.05 1.00 0.99 0.99 0.95 0.83 0.65 0.45 0.30 0.28 0.41 0.64 0.85 0.93 0.86 0.72 0.65 0.80 1.21 1.80 2.35 2.69 2.71 2.49 2.19 1.97 1.91 1.95 1.98 1.90 1.70 1.50 1.44 42.5 + 45.0 1.68 1.86 2.20 2.57 2.78 2.74 2.48 2.14 1.90 1.86 2.02 2.28 2.51 2.67 2.79 2.97 3.29 3.72 4.12 4.29 4.10 3.56 2.85 2.18 1.75 1.59 1.62 1.67 1.61 1.41 1.16 0.97 0.94 1.07 1.27 1.46 1.55 1.53 1.44 1.34 1.28 1.27 1.31 1.36 1.35 1.26 1.08 0.87 0.70 0.66 0.78 1.01 1.23 1.32 1.28 1.17 1.16 1.39 1.89 2.54 3.13 3.47 3.47 3.19 2.82 2.51 2.36 2.31 2.26 2.12 1.91 1.72 1.68 1.86 2.20 2.57 2.78 2.74 2.48 2.14 1.90 1.86 2.02 2.28 2.51 2.67 2.79 2.97 3.29 3.72 4.12 4.29 4.10 3.56 2.85 2.18 1.75 1.59 1.62 1.67 1.61 1.41 1.16 0.97 0.94 1.07 1.27 1.46 1.55 1.53 1.44 1.34 1.28 1.27 1.31 1.36 1.35 1.26 1.08 0.87 0.70 0.66 0.78 1.01 1.23 1.32 1.28 1.17 1.16 1.39 1.89 2.54 3.13 3.47 3.47 3.19 2.82 2.51 2.36 2.31 2.26 2.12 1.91 1.72 1.68 45.0 + 47.5 1.87 2.01 2.30 2.59 2.71 2.59 2.27 1.90 1.64 1.58 1.71 1.92 2.07 2.12 2.12 2.19 2.39 2.71 3.03 3.16 2.99 2.52 1.92 1.38 1.07 1.01 1.10 1.19 1.17 1.01 0.79 0.62 0.58 0.68 0.87 1.07 1.20 1.26 1.25 1.22 1.21 1.26 1.36 1.47 1.54 1.51 1.37 1.18 1.02 0.98 1.10 1.33 1.57 1.69 1.69 1.65 1.73 2.05 2.63 3.35 3.97 4.30 4.27 3.95 3.52 3.14 2.90 2.76 2.63 2.42 2.16 1.93 1.87 2.01 2.30 2.59 2.71 2.59 2.27 1.90 1.64 1.58 1.71 1.92 2.07 2.12 2.12 2.19 2.39 2.71 3.03 3.16 2.99 2.52 1.92 1.38 1.07 1.01 1.10 1.19 1.17 1.01 0.79 0.62 0.58 0.68 0.87 1.07 1.20 1.26 1.25 1.22 1.21 1.26 1.36 1.47 1.54 1.51 1.37 1.18 1.02 0.98 1.10 1.33 1.57 1.69 1.69 1.65 1.73 2.05 2.63 3.35 3.97 4.30 4.27 3.95 3.52 3.14 2.90 2.76 2.63 2.42 2.16 1.93 1.87 47.5 + 50.0 1.96 2.02 2.21 2.40 2.42 2.23 1.88 1.51 1.27 1.24 1.37 1.55 1.66 1.63 1.54 1.50 1.60 1.83 2.07 2.18 2.05 1.67 1.19 0.78 0.57 0.57 0.70 0.82 0.82 0.69 0.48 0.31 0.24 0.29 0.43 0.59 0.73 0.82 0.85 0.87 0.90 0.99 1.14 1.32 1.47 1.52 1.45 1.30 1.17 1.15 1.28 1.53 1.79 1.96 2.02 2.08 2.26 2.68 3.34 4.10 4.73 5.05 4.99 4.65 4.19 3.77 3.47 3.24 3.01 2.72 2.38 2.09 1.96 2.02 2.21 2.40 2.42 2.23 1.88 1.51 1.27 1.24 1.37 1.55 1.66 1.63 1.54 1.50 1.60 1.83 2.07 2.18 2.05 1.67 1.19 0.78 0.57 0.57 0.70 0.82 0.82 0.69 0.48 0.31 0.24 0.29 0.43 0.59 0.73 0.82 0.85 0.87 0.90 0.99 1.14 1.32 1.47 1.52 1.45 1.30 1.17 1.15 1.28 1.53 1.79 1.96 2.02 2.08 2.26 2.68 3.34 4.10 4.73 5.05 4.99 4.65 4.19 3.77 3.47 3.24 3.01 2.72 2.38 2.09 1.96 50.0 + 52.5 1.91 1.87 1.96 2.03 1.97 1.73 1.38 1.04 0.85 0.87 1.03 1.22 1.30 1.25 1.11 1.00 1.04 1.21 1.42 1.52 1.43 1.15 0.78 0.48 0.36 0.41 0.56 0.68 0.68 0.56 0.37 0.19 0.08 0.07 0.14 0.24 0.34 0.41 0.45 0.48 0.53 0.63 0.81 1.03 1.23 1.35 1.34 1.26 1.17 1.18 1.33 1.59 1.88 2.10 2.25 2.41 2.70 3.21 3.92 4.68 5.29 5.58 5.50 5.15 4.69 4.26 3.92 3.63 3.32 2.93 2.50 2.13 1.91 1.87 1.96 2.03 1.97 1.73 1.38 1.04 0.85 0.87 1.03 1.22 1.30 1.25 1.11 1.00 1.04 1.21 1.42 1.52 1.43 1.15 0.78 0.48 0.36 0.41 0.56 0.68 0.68 0.56 0.37 0.19 0.08 0.07 0.14 0.24 0.34 0.41 0.45 0.48 0.53 0.63 0.81 1.03 1.23 1.35 1.34 1.26 1.17 1.18 1.33 1.59 1.88 2.10 2.25 2.41 2.70 3.21 3.92 4.68 5.29 5.58 5.50 5.15 4.69 4.26 3.92 3.63 3.32 2.93 2.50 2.13 1.91 52.5 + 55.0 1.70 1.58 1.57 1.56 1.44 1.18 0.85 0.56 0.44 0.51 0.71 0.91 1.00 0.94 0.79 0.68 0.71 0.86 1.06 1.18 1.13 0.92 0.65 0.45 0.39 0.48 0.63 0.74 0.74 0.63 0.45 0.27 0.14 0.09 0.09 0.13 0.18 0.22 0.23 0.25 0.28 0.38 0.55 0.78 0.99 1.13 1.17 1.12 1.07 1.11 1.29 1.57 1.88 2.15 2.38 2.64 3.02 3.59 4.31 5.02 5.56 5.78 5.68 5.34 4.90 4.49 4.14 3.81 3.43 2.96 2.46 2.01 1.70 1.58 1.57 1.56 1.44 1.18 0.85 0.56 0.44 0.51 0.71 0.91 1.00 0.94 0.79 0.68 0.71 0.86 1.06 1.18 1.13 0.92 0.65 0.45 0.39 0.48 0.63 0.74 0.74 0.63 0.45 0.27 0.14 0.09 0.09 0.13 0.18 0.22 0.23 0.25 0.28 0.38 0.55 0.78 0.99 1.13 1.17 1.12 1.07 1.11 1.29 1.57 1.88 2.15 2.38 2.64 3.02 3.59 4.31 5.02 5.56 5.78 5.68 5.34 4.90 4.49 4.14 3.81 3.43 2.96 2.46 2.01 1.70 55.0 + 57.5 1.37 1.19 1.11 1.05 0.91 0.66 0.36 0.13 0.07 0.18 0.40 0.61 0.70 0.66 0.55 0.48 0.53 0.70 0.91 1.04 1.01 0.85 0.65 0.51 0.51 0.62 0.77 0.87 0.86 0.75 0.59 0.43 0.32 0.27 0.25 0.26 0.27 0.28 0.27 0.27 0.29 0.36 0.50 0.68 0.86 0.98 1.02 0.99 0.97 1.04 1.23 1.52 1.84 2.15 2.44 2.77 3.21 3.78 4.44 5.05 5.47 5.61 5.47 5.15 4.76 4.40 4.07 3.72 3.29 2.78 2.22 1.73 1.37 1.19 1.11 1.05 0.91 0.66 0.36 0.13 0.07 0.18 0.40 0.61 0.70 0.66 0.55 0.48 0.53 0.70 0.91 1.04 1.01 0.85 0.65 0.51 0.51 0.62 0.77 0.87 0.86 0.75 0.59 0.43 0.32 0.27 0.25 0.26 0.27 0.28 0.27 0.27 0.29 0.36 0.50 0.68 0.86 0.98 1.02 0.99 0.97 1.04 1.23 1.52 1.84 2.15 2.44 2.77 3.21 3.78 4.44 5.05 5.47 5.61 5.47 5.15 4.76 4.40 4.07 3.72 3.29 2.78 2.22 1.73 1.37 57.5 + 60.0 0.99 0.78 0.67 0.58 0.43 0.21 0.00 0.00 0.00 0.00 0.10 0.30 0.39 0.38 0.32 0.31 0.42 0.62 0.83 0.95 0.91 0.76 0.59 0.50 0.54 0.67 0.81 0.89 0.87 0.77 0.64 0.54 0.48 0.47 0.48 0.50 0.52 0.53 0.53 0.52 0.54 0.58 0.66 0.77 0.87 0.93 0.93 0.91 0.91 1.00 1.20 1.48 1.80 2.12 2.44 2.80 3.24 3.76 4.30 4.76 5.04 5.07 4.91 4.62 4.30 4.00 3.71 3.38 2.95 2.43 1.87 1.37 0.99 0.78 0.67 0.58 0.43 0.21 0.00 0.00 0.00 0.00 0.10 0.30 0.39 0.38 0.32 0.31 0.42 0.62 0.83 0.95 0.91 0.76 0.59 0.50 0.54 0.67 0.81 0.89 0.87 0.77 0.64 0.54 0.48 0.47 0.48 0.50 0.52 0.53 0.53 0.52 0.54 0.58 0.66 0.77 0.87 0.93 0.93 0.91 0.91 1.00 1.20 1.48 1.80 2.12 2.44 2.80 3.24 3.76 4.30 4.76 5.04 5.07 4.91 4.62 4.30 4.00 3.71 3.38 2.95 2.43 1.87 1.37 0.99 60.0 + 62.5 0.67 0.44 0.31 0.20 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.11 0.12 0.11 0.16 0.32 0.54 0.74 0.82 0.75 0.58 0.42 0.35 0.41 0.55 0.69 0.75 0.72 0.64 0.55 0.52 0.54 0.59 0.66 0.73 0.78 0.82 0.86 0.89 0.91 0.92 0.94 0.96 0.96 0.94 0.90 0.87 0.90 1.00 1.21 1.47 1.77 2.08 2.39 2.73 3.12 3.54 3.94 4.22 4.35 4.29 4.11 3.87 3.63 3.42 3.19 2.91 2.52 2.04 1.52 1.04 0.67 0.44 0.31 0.20 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.11 0.12 0.11 0.16 0.32 0.54 0.74 0.82 0.75 0.58 0.42 0.35 0.41 0.55 0.69 0.75 0.72 0.64 0.55 0.52 0.54 0.59 0.66 0.73 0.78 0.82 0.86 0.89 0.91 0.92 0.94 0.96 0.96 0.94 0.90 0.87 0.90 1.00 1.21 1.47 1.77 2.08 2.39 2.73 3.12 3.54 3.94 4.22 4.35 4.29 4.11 3.87 3.63 3.42 3.19 2.91 2.52 2.04 1.52 1.04 0.67 62.5 + 65.0 0.52 0.27 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.26 0.48 0.65 0.68 0.56 0.36 0.19 0.13 0.20 0.34 0.47 0.53 0.50 0.44 0.40 0.42 0.50 0.61 0.74 0.85 0.96 1.06 1.16 1.24 1.28 1.27 1.23 1.15 1.06 0.97 0.90 0.88 0.93 1.06 1.26 1.51 1.78 2.04 2.32 2.62 2.93 3.23 3.47 3.59 3.58 3.45 3.27 3.09 2.94 2.81 2.67 2.47 2.16 1.76 1.31 0.88 0.52 0.27 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.26 0.48 0.65 0.68 0.56 0.36 0.19 0.13 0.20 0.34 0.47 0.53 0.50 0.44 0.40 0.42 0.50 0.61 0.74 0.85 0.96 1.06 1.16 1.24 1.28 1.27 1.23 1.15 1.06 0.97 0.90 0.88 0.93 1.06 1.26 1.51 1.78 2.04 2.32 2.62 2.93 3.23 3.47 3.59 3.58 3.45 3.27 3.09 2.94 2.81 2.67 2.47 2.16 1.76 1.31 0.88 0.52 65.0 + 67.5 0.60 0.33 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.49 0.61 0.60 0.45 0.23 0.06 0.00 0.07 0.21 0.33 0.38 0.36 0.32 0.30 0.36 0.46 0.60 0.74 0.88 1.04 1.20 1.37 1.50 1.57 1.55 1.46 1.32 1.16 1.03 0.95 0.96 1.04 1.20 1.40 1.63 1.85 2.08 2.31 2.54 2.76 2.94 3.04 3.03 2.92 2.75 2.59 2.46 2.39 2.35 2.30 2.18 1.98 1.69 1.33 0.95 0.60 0.33 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.49 0.61 0.60 0.45 0.23 0.06 0.00 0.07 0.21 0.33 0.38 0.36 0.32 0.30 0.36 0.46 0.60 0.74 0.88 1.04 1.20 1.37 1.50 1.57 1.55 1.46 1.32 1.16 1.03 0.95 0.96 1.04 1.20 1.40 1.63 1.85 2.08 2.31 2.54 2.76 2.94 3.04 3.03 2.92 2.75 2.59 2.46 2.39 2.35 2.30 2.18 1.98 1.69 1.33 0.95 0.60 67.5 + 70.0 0.91 0.60 0.35 0.17 0.06 0.00 0.00 0.00 0.00 0.03 0.08 0.12 0.13 0.13 0.17 0.27 0.44 0.61 0.71 0.67 0.52 0.31 0.16 0.11 0.17 0.29 0.39 0.43 0.41 0.38 0.38 0.43 0.51 0.62 0.74 0.89 1.07 1.30 1.53 1.71 1.81 1.79 1.67 1.49 1.30 1.17 1.11 1.14 1.26 1.44 1.65 1.85 2.04 2.22 2.39 2.55 2.69 2.78 2.77 2.68 2.51 2.33 2.18 2.09 2.07 2.09 2.11 2.10 2.00 1.83 1.57 1.25 0.91 0.60 0.35 0.17 0.06 0.00 0.00 0.00 0.00 0.03 0.08 0.12 0.13 0.13 0.17 0.27 0.44 0.61 0.71 0.67 0.52 0.31 0.16 0.11 0.17 0.29 0.39 0.43 0.41 0.38 0.38 0.43 0.51 0.62 0.74 0.89 1.07 1.30 1.53 1.71 1.81 1.79 1.67 1.49 1.30 1.17 1.11 1.14 1.26 1.44 1.65 1.85 2.04 2.22 2.39 2.55 2.69 2.78 2.77 2.68 2.51 2.33 2.18 2.09 2.07 2.09 2.11 2.10 2.00 1.83 1.57 1.25 0.91 70.0 + 72.5 1.34 1.01 0.72 0.52 0.40 0.35 0.34 0.36 0.40 0.44 0.48 0.50 0.49 0.48 0.50 0.58 0.71 0.84 0.92 0.89 0.77 0.61 0.49 0.45 0.49 0.57 0.64 0.66 0.64 0.61 0.59 0.61 0.65 0.70 0.79 0.93 1.14 1.41 1.69 1.92 2.04 2.03 1.91 1.73 1.56 1.44 1.41 1.47 1.61 1.80 2.00 2.18 2.33 2.45 2.56 2.65 2.72 2.73 2.67 2.54 2.36 2.18 2.04 1.96 1.96 2.01 2.08 2.15 2.16 2.09 1.93 1.66 1.34 1.01 0.72 0.52 0.40 0.35 0.34 0.36 0.40 0.44 0.48 0.50 0.49 0.48 0.50 0.58 0.71 0.84 0.92 0.89 0.77 0.61 0.49 0.45 0.49 0.57 0.64 0.66 0.64 0.61 0.59 0.61 0.65 0.70 0.79 0.93 1.14 1.41 1.69 1.92 2.04 2.03 1.91 1.73 1.56 1.44 1.41 1.47 1.61 1.80 2.00 2.18 2.33 2.45 2.56 2.65 2.72 2.73 2.67 2.54 2.36 2.18 2.04 1.96 1.96 2.01 2.08 2.15 2.16 2.09 1.93 1.66 1.34 72.5 + 75.0 1.74 1.41 1.11 0.90 0.78 0.73 0.73 0.75 0.78 0.82 0.86 0.88 0.88 0.86 0.86 0.89 0.97 1.07 1.14 1.15 1.09 0.99 0.90 0.85 0.86 0.89 0.91 0.90 0.87 0.83 0.79 0.78 0.77 0.80 0.87 1.03 1.27 1.58 1.90 2.16 2.29 2.30 2.21 2.06 1.93 1.84 1.82 1.89 2.02 2.18 2.36 2.50 2.61 2.67 2.70 2.72 2.72 2.70 2.63 2.51 2.34 2.17 2.03 1.94 1.92 1.97 2.07 2.20 2.30 2.33 2.25 2.04 1.74 1.41 1.11 0.90 0.78 0.73 0.73 0.75 0.78 0.82 0.86 0.88 0.88 0.86 0.86 0.89 0.97 1.07 1.14 1.15 1.09 0.99 0.90 0.85 0.86 0.89 0.91 0.90 0.87 0.83 0.79 0.78 0.77 0.80 0.87 1.03 1.27 1.58 1.90 2.16 2.29 2.30 2.21 2.06 1.93 1.84 1.82 1.89 2.02 2.18 2.36 2.50 2.61 2.67 2.70 2.72 2.72 2.70 2.63 2.51 2.34 2.17 2.03 1.94 1.92 1.97 2.07 2.20 2.30 2.33 2.25 2.04 1.74 75.0 + 77.5 1.97 1.67 1.39 1.18 1.05 0.99 0.96 0.95 0.96 1.00 1.06 1.11 1.13 1.11 1.06 1.03 1.05 1.12 1.20 1.26 1.27 1.22 1.15 1.09 1.04 1.02 1.00 0.96 0.91 0.86 0.82 0.79 0.79 0.84 0.96 1.18 1.48 1.82 2.15 2.39 2.53 2.54 2.49 2.39 2.29 2.23 2.20 2.23 2.31 2.43 2.57 2.67 2.72 2.71 2.66 2.59 2.54 2.51 2.46 2.39 2.27 2.12 1.96 1.84 1.78 1.82 1.94 2.11 2.29 2.40 2.38 2.23 1.97 1.67 1.39 1.18 1.05 0.99 0.96 0.95 0.96 1.00 1.06 1.11 1.13 1.11 1.06 1.03 1.05 1.12 1.20 1.26 1.27 1.22 1.15 1.09 1.04 1.02 1.00 0.96 0.91 0.86 0.82 0.79 0.79 0.84 0.96 1.18 1.48 1.82 2.15 2.39 2.53 2.54 2.49 2.39 2.29 2.23 2.20 2.23 2.31 2.43 2.57 2.67 2.72 2.71 2.66 2.59 2.54 2.51 2.46 2.39 2.27 2.12 1.96 1.84 1.78 1.82 1.94 2.11 2.29 2.40 2.38 2.23 1.97 77.5 + 80.0 1.94 1.69 1.45 1.27 1.13 1.02 0.93 0.87 0.85 0.90 0.99 1.08 1.12 1.09 1.00 0.90 0.86 0.89 0.99 1.10 1.16 1.15 1.08 0.98 0.89 0.82 0.77 0.72 0.68 0.63 0.60 0.60 0.65 0.79 1.02 1.34 1.71 2.06 2.35 2.54 2.63 2.63 2.60 2.54 2.48 2.40 2.34 2.30 2.31 2.38 2.47 2.53 2.52 2.43 2.28 2.14 2.05 2.03 2.04 2.04 1.98 1.86 1.69 1.52 1.44 1.46 1.60 1.82 2.05 2.21 2.25 2.15 1.94 1.69 1.45 1.27 1.13 1.02 0.93 0.87 0.85 0.90 0.99 1.08 1.12 1.09 1.00 0.90 0.86 0.89 0.99 1.10 1.16 1.15 1.08 0.98 0.89 0.82 0.77 0.72 0.68 0.63 0.60 0.60 0.65 0.79 1.02 1.34 1.71 2.06 2.35 2.54 2.63 2.63 2.60 2.54 2.48 2.40 2.34 2.30 2.31 2.38 2.47 2.53 2.52 2.43 2.28 2.14 2.05 2.03 2.04 2.04 1.98 1.86 1.69 1.52 1.44 1.46 1.60 1.82 2.05 2.21 2.25 2.15 1.94 80.0 + 82.5 1.68 1.49 1.31 1.15 0.99 0.83 0.67 0.54 0.48 0.53 0.65 0.79 0.85 0.80 0.65 0.48 0.38 0.39 0.51 0.66 0.76 0.77 0.69 0.56 0.44 0.35 0.31 0.28 0.26 0.24 0.24 0.29 0.45 0.72 1.09 1.51 1.92 2.24 2.43 2.50 2.49 2.44 2.40 2.36 2.30 2.21 2.09 1.98 1.92 1.93 1.99 2.02 1.96 1.80 1.58 1.38 1.27 1.28 1.37 1.45 1.46 1.36 1.18 0.99 0.88 0.91 1.08 1.34 1.61 1.81 1.88 1.83 1.68 1.49 1.31 1.15 0.99 0.83 0.67 0.54 0.48 0.53 0.65 0.79 0.85 0.80 0.65 0.48 0.38 0.39 0.51 0.66 0.76 0.77 0.69 0.56 0.44 0.35 0.31 0.28 0.26 0.24 0.24 0.29 0.45 0.72 1.09 1.51 1.92 2.24 2.43 2.50 2.49 2.44 2.40 2.36 2.30 2.21 2.09 1.98 1.92 1.93 1.99 2.02 1.96 1.80 1.58 1.38 1.27 1.28 1.37 1.45 1.46 1.36 1.18 0.99 0.88 0.91 1.08 1.34 1.61 1.81 1.88 1.83 1.68 82.5 + 85.0 1.29 1.17 1.05 0.91 0.74 0.52 0.28 0.09 0.00 0.05 0.21 0.37 0.44 0.36 0.16 0.00 0.00 0.00 0.00 0.11 0.26 0.28 0.19 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.34 0.72 1.20 1.69 2.07 2.29 2.32 2.22 2.07 1.94 1.86 1.82 1.75 1.63 1.46 1.30 1.20 1.18 1.23 1.25 1.17 0.97 0.70 0.46 0.36 0.42 0.59 0.76 0.83 0.75 0.57 0.36 0.25 0.30 0.50 0.80 1.10 1.31 1.41 1.39 1.29 1.17 1.05 0.91 0.74 0.52 0.28 0.09 0.00 0.05 0.21 0.37 0.44 0.36 0.16 0.00 0.00 0.00 0.00 0.11 0.26 0.28 0.19 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.34 0.72 1.20 1.69 2.07 2.29 2.32 2.22 2.07 1.94 1.86 1.82 1.75 1.63 1.46 1.30 1.20 1.18 1.23 1.25 1.17 0.97 0.70 0.46 0.36 0.42 0.59 0.76 0.83 0.75 0.57 0.36 0.25 0.30 0.50 0.80 1.10 1.31 1.41 1.39 1.29 85.0 + 87.5 0.96 0.90 0.83 0.71 0.51 0.25 0.00 0.00 0.00 0.00 0.00 0.04 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.16 0.46 0.91 1.42 1.88 2.16 2.22 2.06 1.78 1.47 1.25 1.12 1.05 0.98 0.85 0.66 0.49 0.38 0.39 0.45 0.49 0.41 0.19 0.00 0.00 0.00 0.00 0.00 0.18 0.29 0.22 0.04 0.00 0.00 0.00 0.04 0.36 0.67 0.89 1.00 1.01 0.96 0.90 0.83 0.71 0.51 0.25 0.00 0.00 0.00 0.00 0.00 0.04 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.16 0.46 0.91 1.42 1.88 2.16 2.22 2.06 1.78 1.47 1.25 1.12 1.05 0.98 0.85 0.66 0.49 0.38 0.39 0.45 0.49 0.41 0.19 0.00 0.00 0.00 0.00 0.00 0.18 0.29 0.22 0.04 0.00 0.00 0.00 0.04 0.36 0.67 0.89 1.00 1.01 0.96 87.5 + 90.0 0.84 0.83 0.79 0.68 0.47 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.34 0.42 0.58 0.87 1.29 1.73 2.07 2.19 2.07 1.73 1.29 0.87 0.58 0.42 0.34 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.47 0.68 0.79 0.83 0.84 0.83 0.79 0.68 0.47 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.34 0.42 0.58 0.87 1.29 1.73 2.07 2.19 2.07 1.73 1.29 0.87 0.58 0.42 0.34 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.47 0.68 0.79 0.83 0.84 90.0 + + 77.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.95 ) PHI2 = 78. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 0.0 + 2.5 1.31 1.55 1.81 2.05 2.23 2.31 2.25 2.08 1.85 1.59 1.35 1.13 0.91 0.70 0.53 0.41 0.36 0.35 0.33 0.23 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.26 0.38 0.41 0.41 0.45 0.54 0.70 0.89 1.11 1.33 1.57 1.80 2.02 2.18 2.23 2.16 1.99 1.77 1.52 1.29 1.06 0.85 0.66 0.51 0.43 0.40 0.41 0.39 0.28 0.08 0.00 0.00 0.00 0.00 0.00 0.07 0.25 0.34 0.35 0.35 0.39 0.49 0.66 0.86 1.08 1.31 1.55 1.81 2.05 2.23 2.31 2.25 2.08 1.85 1.59 1.35 1.13 0.91 0.70 0.53 0.41 0.36 0.35 0.33 0.23 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.26 0.38 0.41 0.41 0.45 0.54 0.70 0.89 1.11 1.33 1.57 1.80 2.02 2.18 2.23 2.16 1.99 1.77 1.52 1.29 1.06 0.85 0.66 0.51 0.43 0.40 0.41 0.39 0.28 0.08 0.00 0.00 0.00 0.00 0.00 0.07 0.25 0.34 0.35 0.35 0.39 0.49 0.66 0.86 1.08 1.31 2.5 + 5.0 1.22 1.50 1.81 2.12 2.36 2.47 2.42 2.24 1.97 1.68 1.40 1.14 0.91 0.69 0.51 0.37 0.31 0.31 0.31 0.26 0.14 0.00 0.00 0.00 0.00 0.00 0.12 0.33 0.45 0.48 0.47 0.46 0.51 0.64 0.82 1.05 1.30 1.55 1.80 2.01 2.14 2.17 2.08 1.90 1.67 1.41 1.15 0.91 0.69 0.52 0.42 0.40 0.43 0.48 0.47 0.37 0.19 0.00 0.00 0.00 0.00 0.01 0.18 0.29 0.31 0.27 0.24 0.27 0.37 0.54 0.74 0.96 1.22 1.50 1.81 2.12 2.36 2.47 2.42 2.24 1.97 1.68 1.40 1.14 0.91 0.69 0.51 0.37 0.31 0.31 0.31 0.26 0.14 0.00 0.00 0.00 0.00 0.00 0.12 0.33 0.45 0.48 0.47 0.46 0.51 0.64 0.82 1.05 1.30 1.55 1.80 2.01 2.14 2.17 2.08 1.90 1.67 1.41 1.15 0.91 0.69 0.52 0.42 0.40 0.43 0.48 0.47 0.37 0.19 0.00 0.00 0.00 0.00 0.01 0.18 0.29 0.31 0.27 0.24 0.27 0.37 0.54 0.74 0.96 1.22 5.0 + 7.5 1.04 1.37 1.75 2.13 2.44 2.60 2.58 2.39 2.09 1.75 1.44 1.17 0.94 0.72 0.53 0.38 0.30 0.30 0.33 0.33 0.27 0.13 0.00 0.00 0.00 0.00 0.16 0.36 0.49 0.53 0.49 0.43 0.42 0.49 0.66 0.89 1.17 1.45 1.71 1.90 2.00 2.00 1.90 1.71 1.47 1.20 0.92 0.66 0.44 0.30 0.26 0.31 0.42 0.50 0.51 0.41 0.22 0.04 0.00 0.00 0.02 0.16 0.26 0.29 0.23 0.14 0.09 0.10 0.20 0.36 0.55 0.77 1.04 1.37 1.75 2.13 2.44 2.60 2.58 2.39 2.09 1.75 1.44 1.17 0.94 0.72 0.53 0.38 0.30 0.30 0.33 0.33 0.27 0.13 0.00 0.00 0.00 0.00 0.16 0.36 0.49 0.53 0.49 0.43 0.42 0.49 0.66 0.89 1.17 1.45 1.71 1.90 2.00 2.00 1.90 1.71 1.47 1.20 0.92 0.66 0.44 0.30 0.26 0.31 0.42 0.50 0.51 0.41 0.22 0.04 0.00 0.00 0.02 0.16 0.26 0.29 0.23 0.14 0.09 0.10 0.20 0.36 0.55 0.77 1.04 7.5 + 10.0 0.78 1.13 1.56 2.00 2.38 2.60 2.61 2.43 2.12 1.77 1.46 1.21 1.01 0.82 0.64 0.48 0.38 0.36 0.40 0.44 0.43 0.32 0.14 0.00 0.00 0.00 0.11 0.31 0.46 0.51 0.44 0.33 0.25 0.26 0.40 0.64 0.95 1.25 1.50 1.66 1.73 1.70 1.59 1.42 1.20 0.94 0.65 0.37 0.15 0.04 0.06 0.17 0.33 0.43 0.42 0.29 0.10 0.00 0.00 0.00 0.05 0.18 0.24 0.20 0.09 0.00 0.00 0.00 0.02 0.16 0.32 0.52 0.78 1.13 1.56 2.00 2.38 2.60 2.61 2.43 2.12 1.77 1.46 1.21 1.01 0.82 0.64 0.48 0.38 0.36 0.40 0.44 0.43 0.32 0.14 0.00 0.00 0.00 0.11 0.31 0.46 0.51 0.44 0.33 0.25 0.26 0.40 0.64 0.95 1.25 1.50 1.66 1.73 1.70 1.59 1.42 1.20 0.94 0.65 0.37 0.15 0.04 0.06 0.17 0.33 0.43 0.42 0.29 0.10 0.00 0.00 0.00 0.05 0.18 0.24 0.20 0.09 0.00 0.00 0.00 0.02 0.16 0.32 0.52 0.78 10.0 + 12.5 0.46 0.81 1.26 1.75 2.18 2.45 2.49 2.33 2.04 1.72 1.46 1.26 1.12 0.98 0.82 0.65 0.52 0.48 0.51 0.57 0.58 0.48 0.27 0.04 0.00 0.00 0.01 0.22 0.39 0.45 0.37 0.20 0.06 0.02 0.13 0.38 0.69 1.00 1.23 1.36 1.39 1.34 1.24 1.10 0.92 0.68 0.40 0.12 0.00 0.00 0.00 0.03 0.20 0.28 0.23 0.05 0.00 0.00 0.00 0.00 0.00 0.10 0.13 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.24 0.46 0.81 1.26 1.75 2.18 2.45 2.49 2.33 2.04 1.72 1.46 1.26 1.12 0.98 0.82 0.65 0.52 0.48 0.51 0.57 0.58 0.48 0.27 0.04 0.00 0.00 0.01 0.22 0.39 0.45 0.37 0.20 0.06 0.02 0.13 0.38 0.69 1.00 1.23 1.36 1.39 1.34 1.24 1.10 0.92 0.68 0.40 0.12 0.00 0.00 0.00 0.03 0.20 0.28 0.23 0.05 0.00 0.00 0.00 0.00 0.00 0.10 0.13 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.24 0.46 12.5 + 15.0 0.17 0.50 0.95 1.46 1.92 2.21 2.28 2.15 1.90 1.64 1.45 1.34 1.27 1.18 1.04 0.85 0.69 0.61 0.62 0.68 0.69 0.59 0.36 0.08 0.00 0.00 0.00 0.16 0.36 0.43 0.34 0.14 0.00 0.00 0.00 0.22 0.54 0.84 1.05 1.13 1.13 1.06 0.98 0.88 0.74 0.54 0.27 0.00 0.00 0.00 0.00 0.00 0.14 0.19 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.50 0.95 1.46 1.92 2.21 2.28 2.15 1.90 1.64 1.45 1.34 1.27 1.18 1.04 0.85 0.69 0.61 0.62 0.68 0.69 0.59 0.36 0.08 0.00 0.00 0.00 0.16 0.36 0.43 0.34 0.14 0.00 0.00 0.00 0.22 0.54 0.84 1.05 1.13 1.13 1.06 0.98 0.88 0.74 0.54 0.27 0.00 0.00 0.00 0.00 0.00 0.14 0.19 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 15.0 + 17.5 0.00 0.28 0.74 1.25 1.71 2.00 2.08 1.98 1.78 1.58 1.47 1.43 1.43 1.37 1.23 1.02 0.81 0.70 0.69 0.75 0.76 0.66 0.42 0.11 0.00 0.00 0.00 0.21 0.43 0.51 0.42 0.20 0.00 0.00 0.01 0.26 0.58 0.87 1.04 1.09 1.05 0.98 0.91 0.85 0.74 0.57 0.32 0.05 0.00 0.00 0.00 0.08 0.24 0.25 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.28 0.74 1.25 1.71 2.00 2.08 1.98 1.78 1.58 1.47 1.43 1.43 1.37 1.23 1.02 0.81 0.70 0.69 0.75 0.76 0.66 0.42 0.11 0.00 0.00 0.00 0.21 0.43 0.51 0.42 0.20 0.00 0.00 0.01 0.26 0.58 0.87 1.04 1.09 1.05 0.98 0.91 0.85 0.74 0.57 0.32 0.05 0.00 0.00 0.00 0.08 0.24 0.25 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 17.5 + 20.0 0.00 0.22 0.68 1.19 1.63 1.90 1.97 1.88 1.71 1.58 1.53 1.56 1.59 1.54 1.37 1.12 0.88 0.75 0.74 0.80 0.83 0.73 0.49 0.19 0.00 0.00 0.10 0.37 0.60 0.68 0.57 0.36 0.16 0.09 0.21 0.48 0.80 1.06 1.21 1.23 1.18 1.10 1.05 1.00 0.92 0.76 0.52 0.26 0.07 0.03 0.16 0.37 0.53 0.52 0.32 0.01 0.00 0.00 0.00 0.00 0.21 0.32 0.25 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.22 0.68 1.19 1.63 1.90 1.97 1.88 1.71 1.58 1.53 1.56 1.59 1.54 1.37 1.12 0.88 0.75 0.74 0.80 0.83 0.73 0.49 0.19 0.00 0.00 0.10 0.37 0.60 0.68 0.57 0.36 0.16 0.09 0.21 0.48 0.80 1.06 1.21 1.23 1.18 1.10 1.05 1.00 0.92 0.76 0.52 0.26 0.07 0.03 0.16 0.37 0.53 0.52 0.32 0.01 0.00 0.00 0.00 0.00 0.21 0.32 0.25 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 20.0 + 22.5 0.01 0.31 0.77 1.27 1.67 1.91 1.94 1.85 1.72 1.64 1.66 1.73 1.76 1.69 1.49 1.21 0.96 0.84 0.85 0.92 0.96 0.85 0.61 0.32 0.13 0.12 0.30 0.57 0.78 0.83 0.71 0.49 0.32 0.29 0.45 0.73 1.05 1.29 1.42 1.42 1.37 1.30 1.26 1.22 1.15 0.99 0.76 0.51 0.35 0.34 0.50 0.74 0.91 0.91 0.71 0.41 0.16 0.09 0.23 0.49 0.70 0.76 0.63 0.39 0.16 0.04 0.04 0.08 0.09 0.02 0.00 0.00 0.01 0.31 0.77 1.27 1.67 1.91 1.94 1.85 1.72 1.64 1.66 1.73 1.76 1.69 1.49 1.21 0.96 0.84 0.85 0.92 0.96 0.85 0.61 0.32 0.13 0.12 0.30 0.57 0.78 0.83 0.71 0.49 0.32 0.29 0.45 0.73 1.05 1.29 1.42 1.42 1.37 1.30 1.26 1.22 1.15 0.99 0.76 0.51 0.35 0.34 0.50 0.74 0.91 0.91 0.71 0.41 0.16 0.09 0.23 0.49 0.70 0.76 0.63 0.39 0.16 0.04 0.04 0.08 0.09 0.02 0.00 0.00 0.01 22.5 + 25.0 0.17 0.48 0.93 1.40 1.76 1.94 1.94 1.84 1.75 1.73 1.82 1.93 1.97 1.89 1.67 1.40 1.18 1.10 1.15 1.24 1.25 1.11 0.83 0.52 0.32 0.32 0.49 0.72 0.88 0.87 0.72 0.50 0.36 0.38 0.56 0.85 1.15 1.37 1.47 1.47 1.43 1.38 1.35 1.33 1.26 1.11 0.89 0.67 0.54 0.57 0.77 1.03 1.23 1.24 1.06 0.80 0.59 0.57 0.75 1.02 1.22 1.23 1.04 0.75 0.49 0.35 0.34 0.37 0.36 0.26 0.13 0.07 0.17 0.48 0.93 1.40 1.76 1.94 1.94 1.84 1.75 1.73 1.82 1.93 1.97 1.89 1.67 1.40 1.18 1.10 1.15 1.24 1.25 1.11 0.83 0.52 0.32 0.32 0.49 0.72 0.88 0.87 0.72 0.50 0.36 0.38 0.56 0.85 1.15 1.37 1.47 1.47 1.43 1.38 1.35 1.33 1.26 1.11 0.89 0.67 0.54 0.57 0.77 1.03 1.23 1.24 1.06 0.80 0.59 0.57 0.75 1.02 1.22 1.23 1.04 0.75 0.49 0.35 0.34 0.37 0.36 0.26 0.13 0.07 0.17 25.0 + 27.5 0.36 0.65 1.08 1.51 1.82 1.94 1.90 1.80 1.76 1.82 1.99 2.16 2.24 2.17 1.98 1.77 1.64 1.64 1.75 1.84 1.79 1.55 1.17 0.78 0.54 0.51 0.64 0.81 0.88 0.79 0.59 0.37 0.26 0.31 0.51 0.78 1.03 1.20 1.27 1.26 1.23 1.21 1.20 1.19 1.13 0.99 0.79 0.61 0.52 0.59 0.82 1.11 1.32 1.35 1.19 0.96 0.81 0.85 1.08 1.38 1.59 1.59 1.37 1.06 0.79 0.66 0.66 0.70 0.68 0.56 0.39 0.29 0.36 0.65 1.08 1.51 1.82 1.94 1.90 1.80 1.76 1.82 1.99 2.16 2.24 2.17 1.98 1.77 1.64 1.64 1.75 1.84 1.79 1.55 1.17 0.78 0.54 0.51 0.64 0.81 0.88 0.79 0.59 0.37 0.26 0.31 0.51 0.78 1.03 1.20 1.27 1.26 1.23 1.21 1.20 1.19 1.13 0.99 0.79 0.61 0.52 0.59 0.82 1.11 1.32 1.35 1.19 0.96 0.81 0.85 1.08 1.38 1.59 1.59 1.37 1.06 0.79 0.66 0.66 0.70 0.68 0.56 0.39 0.29 0.36 27.5 + 30.0 0.54 0.79 1.18 1.57 1.83 1.89 1.82 1.73 1.73 1.89 2.15 2.41 2.55 2.55 2.45 2.35 2.36 2.49 2.67 2.73 2.58 2.18 1.65 1.15 0.83 0.73 0.80 0.88 0.85 0.67 0.42 0.20 0.11 0.18 0.37 0.60 0.77 0.86 0.87 0.84 0.81 0.80 0.81 0.81 0.77 0.65 0.48 0.34 0.29 0.39 0.64 0.93 1.14 1.17 1.03 0.83 0.72 0.82 1.12 1.48 1.72 1.74 1.55 1.25 1.01 0.92 0.97 1.04 1.02 0.87 0.65 0.50 0.54 0.79 1.18 1.57 1.83 1.89 1.82 1.73 1.73 1.89 2.15 2.41 2.55 2.55 2.45 2.35 2.36 2.49 2.67 2.73 2.58 2.18 1.65 1.15 0.83 0.73 0.80 0.88 0.85 0.67 0.42 0.20 0.11 0.18 0.37 0.60 0.77 0.86 0.87 0.84 0.81 0.80 0.81 0.81 0.77 0.65 0.48 0.34 0.29 0.39 0.64 0.93 1.14 1.17 1.03 0.83 0.72 0.82 1.12 1.48 1.72 1.74 1.55 1.25 1.01 0.92 0.97 1.04 1.02 0.87 0.65 0.50 0.54 30.0 + 32.5 0.69 0.91 1.27 1.62 1.83 1.84 1.74 1.65 1.70 1.94 2.29 2.64 2.88 2.97 3.00 3.07 3.25 3.53 3.77 3.80 3.52 2.94 2.24 1.60 1.19 1.04 1.04 1.04 0.91 0.66 0.36 0.14 0.07 0.16 0.33 0.48 0.55 0.54 0.47 0.39 0.35 0.35 0.37 0.38 0.34 0.23 0.09 0.00 0.00 0.07 0.32 0.60 0.79 0.80 0.66 0.48 0.41 0.57 0.94 1.38 1.69 1.76 1.61 1.36 1.17 1.13 1.23 1.33 1.32 1.15 0.89 0.69 0.69 0.91 1.27 1.62 1.83 1.84 1.74 1.65 1.70 1.94 2.29 2.64 2.88 2.97 3.00 3.07 3.25 3.53 3.77 3.80 3.52 2.94 2.24 1.60 1.19 1.04 1.04 1.04 0.91 0.66 0.36 0.14 0.07 0.16 0.33 0.48 0.55 0.54 0.47 0.39 0.35 0.35 0.37 0.38 0.34 0.23 0.09 0.00 0.00 0.07 0.32 0.60 0.79 0.80 0.66 0.48 0.41 0.57 0.94 1.38 1.69 1.76 1.61 1.36 1.17 1.13 1.23 1.33 1.32 1.15 0.89 0.69 0.69 32.5 + 35.0 0.85 1.06 1.41 1.74 1.91 1.88 1.73 1.63 1.70 1.98 2.40 2.82 3.13 3.34 3.50 3.74 4.11 4.53 4.83 4.82 4.41 3.68 2.82 2.08 1.62 1.44 1.40 1.34 1.14 0.84 0.52 0.31 0.27 0.36 0.51 0.59 0.57 0.45 0.29 0.16 0.09 0.08 0.10 0.11 0.06 0.00 0.00 0.00 0.00 0.00 0.03 0.30 0.47 0.46 0.30 0.12 0.09 0.31 0.75 1.27 1.66 1.79 1.68 1.47 1.31 1.31 1.44 1.57 1.56 1.37 1.09 0.87 0.85 1.06 1.41 1.74 1.91 1.88 1.73 1.63 1.70 1.98 2.40 2.82 3.13 3.34 3.50 3.74 4.11 4.53 4.83 4.82 4.41 3.68 2.82 2.08 1.62 1.44 1.40 1.34 1.14 0.84 0.52 0.31 0.27 0.36 0.51 0.59 0.57 0.45 0.29 0.16 0.09 0.08 0.10 0.11 0.06 0.00 0.00 0.00 0.00 0.00 0.03 0.30 0.47 0.46 0.30 0.12 0.09 0.31 0.75 1.27 1.66 1.79 1.68 1.47 1.31 1.31 1.44 1.57 1.56 1.37 1.09 0.87 0.85 35.0 + 37.5 1.05 1.28 1.65 1.98 2.11 2.03 1.84 1.69 1.74 2.02 2.45 2.90 3.26 3.53 3.81 4.19 4.70 5.22 5.56 5.52 5.02 4.18 3.24 2.46 2.00 1.82 1.79 1.71 1.48 1.15 0.83 0.64 0.64 0.76 0.90 0.94 0.85 0.66 0.44 0.27 0.17 0.15 0.16 0.16 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.21 0.35 0.33 0.15 0.00 0.00 0.25 0.77 1.37 1.82 1.99 1.90 1.69 1.52 1.52 1.64 1.76 1.74 1.55 1.26 1.05 1.05 1.28 1.65 1.98 2.11 2.03 1.84 1.69 1.74 2.02 2.45 2.90 3.26 3.53 3.81 4.19 4.70 5.22 5.56 5.52 5.02 4.18 3.24 2.46 2.00 1.82 1.79 1.71 1.48 1.15 0.83 0.64 0.64 0.76 0.90 0.94 0.85 0.66 0.44 0.27 0.17 0.15 0.16 0.16 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.21 0.35 0.33 0.15 0.00 0.00 0.25 0.77 1.37 1.82 1.99 1.90 1.69 1.52 1.52 1.64 1.76 1.74 1.55 1.26 1.05 1.05 37.5 + 40.0 1.29 1.57 1.97 2.30 2.41 2.28 2.01 1.80 1.79 2.03 2.43 2.85 3.21 3.50 3.82 4.26 4.84 5.42 5.78 5.70 5.16 4.28 3.33 2.58 2.17 2.05 2.05 1.98 1.75 1.42 1.12 0.98 1.02 1.18 1.33 1.38 1.28 1.07 0.83 0.65 0.55 0.53 0.54 0.54 0.46 0.30 0.09 0.00 0.00 0.00 0.15 0.40 0.54 0.50 0.32 0.16 0.19 0.53 1.12 1.78 2.28 2.47 2.35 2.09 1.86 1.79 1.86 1.94 1.89 1.69 1.42 1.25 1.29 1.57 1.97 2.30 2.41 2.28 2.01 1.80 1.79 2.03 2.43 2.85 3.21 3.50 3.82 4.26 4.84 5.42 5.78 5.70 5.16 4.28 3.33 2.58 2.17 2.05 2.05 1.98 1.75 1.42 1.12 0.98 1.02 1.18 1.33 1.38 1.28 1.07 0.83 0.65 0.55 0.53 0.54 0.54 0.46 0.30 0.09 0.00 0.00 0.00 0.15 0.40 0.54 0.50 0.32 0.16 0.19 0.53 1.12 1.78 2.28 2.47 2.35 2.09 1.86 1.79 1.86 1.94 1.89 1.69 1.42 1.25 1.29 40.0 + 42.5 1.55 1.88 2.30 2.62 2.69 2.50 2.17 1.89 1.82 2.00 2.33 2.69 2.99 3.23 3.52 3.95 4.52 5.08 5.41 5.32 4.76 3.90 3.01 2.34 2.02 1.97 2.03 1.99 1.79 1.48 1.21 1.10 1.18 1.38 1.58 1.66 1.60 1.43 1.23 1.07 1.00 1.01 1.05 1.06 0.99 0.82 0.58 0.36 0.26 0.34 0.56 0.81 0.96 0.92 0.76 0.63 0.71 1.12 1.79 2.50 3.02 3.19 3.03 2.68 2.36 2.19 2.16 2.16 2.07 1.85 1.60 1.46 1.55 1.88 2.30 2.62 2.69 2.50 2.17 1.89 1.82 2.00 2.33 2.69 2.99 3.23 3.52 3.95 4.52 5.08 5.41 5.32 4.76 3.90 3.01 2.34 2.02 1.97 2.03 1.99 1.79 1.48 1.21 1.10 1.18 1.38 1.58 1.66 1.60 1.43 1.23 1.07 1.00 1.01 1.05 1.06 0.99 0.82 0.58 0.36 0.26 0.34 0.56 0.81 0.96 0.92 0.76 0.63 0.71 1.12 1.79 2.50 3.02 3.19 3.03 2.68 2.36 2.19 2.16 2.16 2.07 1.85 1.60 1.46 1.55 42.5 + 45.0 1.79 2.12 2.53 2.82 2.84 2.59 2.20 1.88 1.76 1.89 2.17 2.45 2.66 2.81 3.00 3.34 3.82 4.31 4.58 4.47 3.94 3.15 2.35 1.79 1.57 1.60 1.70 1.70 1.53 1.25 1.01 0.92 1.02 1.25 1.48 1.62 1.62 1.53 1.40 1.30 1.28 1.34 1.43 1.49 1.46 1.30 1.06 0.83 0.72 0.79 1.02 1.29 1.45 1.44 1.31 1.24 1.40 1.89 2.63 3.39 3.93 4.07 3.84 3.40 2.98 2.69 2.56 2.47 2.31 2.06 1.80 1.68 1.79 2.12 2.53 2.82 2.84 2.59 2.20 1.88 1.76 1.89 2.17 2.45 2.66 2.81 3.00 3.34 3.82 4.31 4.58 4.47 3.94 3.15 2.35 1.79 1.57 1.60 1.70 1.70 1.53 1.25 1.01 0.92 1.02 1.25 1.48 1.62 1.62 1.53 1.40 1.30 1.28 1.34 1.43 1.49 1.46 1.30 1.06 0.83 0.72 0.79 1.02 1.29 1.45 1.44 1.31 1.24 1.40 1.89 2.63 3.39 3.93 4.07 3.84 3.40 2.98 2.69 2.56 2.47 2.31 2.06 1.80 1.68 1.79 45.0 + 47.5 1.95 2.24 2.59 2.81 2.78 2.48 2.07 1.73 1.61 1.72 1.96 2.18 2.29 2.33 2.40 2.61 2.96 3.34 3.55 3.43 2.95 2.25 1.57 1.12 0.98 1.07 1.20 1.23 1.08 0.83 0.61 0.53 0.62 0.83 1.07 1.24 1.31 1.29 1.24 1.21 1.25 1.37 1.52 1.64 1.67 1.56 1.35 1.14 1.04 1.13 1.37 1.65 1.85 1.88 1.82 1.82 2.08 2.66 3.47 4.28 4.81 4.93 4.65 4.14 3.64 3.26 3.03 2.85 2.61 2.31 2.01 1.86 1.95 2.24 2.59 2.81 2.78 2.48 2.07 1.73 1.61 1.72 1.96 2.18 2.29 2.33 2.40 2.61 2.96 3.34 3.55 3.43 2.95 2.25 1.57 1.12 0.98 1.07 1.20 1.23 1.08 0.83 0.61 0.53 0.62 0.83 1.07 1.24 1.31 1.29 1.24 1.21 1.25 1.37 1.52 1.64 1.67 1.56 1.35 1.14 1.04 1.13 1.37 1.65 1.85 1.88 1.82 1.82 2.08 2.66 3.47 4.28 4.81 4.93 4.65 4.14 3.64 3.26 3.03 2.85 2.61 2.31 2.01 1.86 1.95 47.5 + 50.0 2.00 2.21 2.47 2.61 2.50 2.18 1.77 1.46 1.37 1.49 1.72 1.91 1.95 1.90 1.85 1.93 2.16 2.44 2.60 2.48 2.06 1.47 0.91 0.56 0.49 0.61 0.76 0.80 0.68 0.45 0.23 0.13 0.18 0.35 0.55 0.72 0.82 0.85 0.85 0.87 0.95 1.11 1.31 1.50 1.59 1.54 1.39 1.22 1.15 1.26 1.52 1.83 2.05 2.14 2.16 2.27 2.64 3.31 4.17 4.99 5.51 5.60 5.29 4.77 4.23 3.81 3.51 3.25 2.94 2.56 2.20 1.99 2.00 2.21 2.47 2.61 2.50 2.18 1.77 1.46 1.37 1.49 1.72 1.91 1.95 1.90 1.85 1.93 2.16 2.44 2.60 2.48 2.06 1.47 0.91 0.56 0.49 0.61 0.76 0.80 0.68 0.45 0.23 0.13 0.18 0.35 0.55 0.72 0.82 0.85 0.85 0.87 0.95 1.11 1.31 1.50 1.59 1.54 1.39 1.22 1.15 1.26 1.52 1.83 2.05 2.14 2.16 2.27 2.64 3.31 4.17 4.99 5.51 5.60 5.29 4.77 4.23 3.81 3.51 3.25 2.94 2.56 2.20 1.99 2.00 50.0 + 52.5 1.94 2.04 2.20 2.25 2.09 1.76 1.38 1.11 1.07 1.23 1.47 1.64 1.65 1.54 1.42 1.41 1.56 1.78 1.91 1.82 1.48 1.00 0.56 0.30 0.29 0.42 0.58 0.61 0.50 0.28 0.06 0.00 0.00 0.02 0.17 0.30 0.38 0.42 0.43 0.47 0.57 0.74 0.96 1.18 1.31 1.32 1.22 1.10 1.08 1.21 1.49 1.82 2.07 2.22 2.33 2.55 3.01 3.74 4.61 5.41 5.89 5.95 5.64 5.14 4.62 4.20 3.88 3.56 3.18 2.74 2.31 2.01 1.94 2.04 2.20 2.25 2.09 1.76 1.38 1.11 1.07 1.23 1.47 1.64 1.65 1.54 1.42 1.41 1.56 1.78 1.91 1.82 1.48 1.00 0.56 0.30 0.29 0.42 0.58 0.61 0.50 0.28 0.06 0.00 0.00 0.02 0.17 0.30 0.38 0.42 0.43 0.47 0.57 0.74 0.96 1.18 1.31 1.32 1.22 1.10 1.08 1.21 1.49 1.82 2.07 2.22 2.33 2.55 3.01 3.74 4.61 5.41 5.89 5.95 5.64 5.14 4.62 4.20 3.88 3.56 3.18 2.74 2.31 2.01 1.94 52.5 + 55.0 1.77 1.77 1.84 1.81 1.62 1.29 0.94 0.73 0.73 0.92 1.18 1.36 1.37 1.25 1.11 1.08 1.20 1.40 1.54 1.49 1.24 0.86 0.53 0.35 0.38 0.53 0.67 0.69 0.57 0.36 0.14 0.00 0.00 0.00 0.07 0.15 0.19 0.21 0.22 0.25 0.33 0.48 0.68 0.89 1.02 1.04 0.98 0.91 0.92 1.08 1.37 1.70 1.97 2.17 2.36 2.65 3.17 3.91 4.75 5.46 5.87 5.90 5.61 5.16 4.71 4.34 4.03 3.70 3.27 2.77 2.28 1.93 1.77 1.77 1.84 1.81 1.62 1.29 0.94 0.73 0.73 0.92 1.18 1.36 1.37 1.25 1.11 1.08 1.20 1.40 1.54 1.49 1.24 0.86 0.53 0.35 0.38 0.53 0.67 0.69 0.57 0.36 0.14 0.00 0.00 0.00 0.07 0.15 0.19 0.21 0.22 0.25 0.33 0.48 0.68 0.89 1.02 1.04 0.98 0.91 0.92 1.08 1.37 1.70 1.97 2.17 2.36 2.65 3.17 3.91 4.75 5.46 5.87 5.90 5.61 5.16 4.71 4.34 4.03 3.70 3.27 2.77 2.28 1.93 1.77 55.0 + 57.5 1.51 1.45 1.43 1.36 1.14 0.82 0.51 0.34 0.37 0.58 0.84 1.03 1.06 0.97 0.87 0.88 1.02 1.24 1.40 1.40 1.20 0.91 0.66 0.56 0.62 0.77 0.90 0.91 0.78 0.58 0.38 0.24 0.19 0.20 0.24 0.28 0.30 0.30 0.30 0.31 0.36 0.47 0.62 0.76 0.84 0.84 0.79 0.74 0.78 0.95 1.23 1.54 1.82 2.04 2.27 2.61 3.14 3.83 4.55 5.15 5.46 5.44 5.19 4.82 4.47 4.18 3.91 3.59 3.15 2.63 2.12 1.73 1.51 1.45 1.43 1.36 1.14 0.82 0.51 0.34 0.37 0.58 0.84 1.03 1.06 0.97 0.87 0.88 1.02 1.24 1.40 1.40 1.20 0.91 0.66 0.56 0.62 0.77 0.90 0.91 0.78 0.58 0.38 0.24 0.19 0.20 0.24 0.28 0.30 0.30 0.30 0.31 0.36 0.47 0.62 0.76 0.84 0.84 0.79 0.74 0.78 0.95 1.23 1.54 1.82 2.04 2.27 2.61 3.14 3.83 4.55 5.15 5.46 5.44 5.19 4.82 4.47 4.18 3.91 3.59 3.15 2.63 2.12 1.73 1.51 57.5 + 60.0 1.21 1.10 1.04 0.92 0.70 0.40 0.12 0.00 0.02 0.22 0.47 0.65 0.71 0.67 0.64 0.72 0.91 1.16 1.33 1.35 1.19 0.95 0.75 0.70 0.79 0.95 1.06 1.06 0.93 0.74 0.58 0.48 0.46 0.50 0.55 0.59 0.61 0.61 0.61 0.62 0.65 0.70 0.76 0.81 0.81 0.76 0.68 0.65 0.70 0.87 1.13 1.40 1.65 1.86 2.10 2.44 2.92 3.51 4.09 4.52 4.71 4.66 4.44 4.18 3.95 3.76 3.56 3.27 2.86 2.36 1.86 1.46 1.21 1.10 1.04 0.92 0.70 0.40 0.12 0.00 0.02 0.22 0.47 0.65 0.71 0.67 0.64 0.72 0.91 1.16 1.33 1.35 1.19 0.95 0.75 0.70 0.79 0.95 1.06 1.06 0.93 0.74 0.58 0.48 0.46 0.50 0.55 0.59 0.61 0.61 0.61 0.62 0.65 0.70 0.76 0.81 0.81 0.76 0.68 0.65 0.70 0.87 1.13 1.40 1.65 1.86 2.10 2.44 2.92 3.51 4.09 4.52 4.71 4.66 4.44 4.18 3.95 3.76 3.56 3.27 2.86 2.36 1.86 1.46 1.21 60.0 + 62.5 0.94 0.79 0.68 0.54 0.32 0.06 0.00 0.00 0.00 0.00 0.12 0.29 0.36 0.37 0.41 0.55 0.79 1.05 1.21 1.21 1.05 0.82 0.67 0.65 0.76 0.92 1.03 1.01 0.90 0.74 0.62 0.59 0.63 0.72 0.81 0.88 0.93 0.97 1.00 1.02 1.04 1.04 1.02 0.96 0.86 0.75 0.65 0.62 0.68 0.84 1.06 1.29 1.48 1.67 1.89 2.19 2.60 3.06 3.47 3.73 3.81 3.73 3.56 3.40 3.29 3.20 3.08 2.85 2.49 2.04 1.58 1.20 0.94 0.79 0.68 0.54 0.32 0.06 0.00 0.00 0.00 0.00 0.12 0.29 0.36 0.37 0.41 0.55 0.79 1.05 1.21 1.21 1.05 0.82 0.67 0.65 0.76 0.92 1.03 1.01 0.90 0.74 0.62 0.59 0.63 0.72 0.81 0.88 0.93 0.97 1.00 1.02 1.04 1.04 1.02 0.96 0.86 0.75 0.65 0.62 0.68 0.84 1.06 1.29 1.48 1.67 1.89 2.19 2.60 3.06 3.47 3.73 3.81 3.73 3.56 3.40 3.29 3.20 3.08 2.85 2.49 2.04 1.58 1.20 0.94 62.5 + 65.0 0.79 0.59 0.44 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.10 0.14 0.23 0.41 0.65 0.89 1.02 0.98 0.79 0.57 0.43 0.44 0.57 0.73 0.83 0.82 0.72 0.60 0.54 0.56 0.67 0.81 0.94 1.05 1.15 1.25 1.33 1.39 1.40 1.36 1.26 1.10 0.93 0.76 0.66 0.64 0.72 0.87 1.06 1.23 1.37 1.52 1.71 1.97 2.29 2.62 2.87 2.99 2.97 2.87 2.76 2.69 2.68 2.68 2.63 2.47 2.19 1.81 1.41 1.06 0.79 0.59 0.44 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.10 0.14 0.23 0.41 0.65 0.89 1.02 0.98 0.79 0.57 0.43 0.44 0.57 0.73 0.83 0.82 0.72 0.60 0.54 0.56 0.67 0.81 0.94 1.05 1.15 1.25 1.33 1.39 1.40 1.36 1.26 1.10 0.93 0.76 0.66 0.64 0.72 0.87 1.06 1.23 1.37 1.52 1.71 1.97 2.29 2.62 2.87 2.99 2.97 2.87 2.76 2.69 2.68 2.68 2.63 2.47 2.19 1.81 1.41 1.06 0.79 65.0 + 67.5 0.82 0.58 0.37 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.07 0.17 0.35 0.58 0.78 0.85 0.77 0.56 0.35 0.23 0.25 0.39 0.55 0.64 0.63 0.55 0.47 0.45 0.52 0.65 0.81 0.96 1.10 1.25 1.40 1.54 1.64 1.67 1.59 1.42 1.20 0.98 0.81 0.72 0.74 0.84 1.00 1.15 1.28 1.38 1.50 1.66 1.87 2.12 2.34 2.47 2.48 2.40 2.29 2.22 2.22 2.28 2.34 2.35 2.26 2.06 1.77 1.44 1.11 0.82 0.58 0.37 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.07 0.17 0.35 0.58 0.78 0.85 0.77 0.56 0.35 0.23 0.25 0.39 0.55 0.64 0.63 0.55 0.47 0.45 0.52 0.65 0.81 0.96 1.10 1.25 1.40 1.54 1.64 1.67 1.59 1.42 1.20 0.98 0.81 0.72 0.74 0.84 1.00 1.15 1.28 1.38 1.50 1.66 1.87 2.12 2.34 2.47 2.48 2.40 2.29 2.22 2.22 2.28 2.34 2.35 2.26 2.06 1.77 1.44 1.11 0.82 67.5 + 70.0 1.07 0.78 0.51 0.29 0.11 0.00 0.00 0.00 0.00 0.01 0.09 0.14 0.18 0.22 0.31 0.47 0.66 0.80 0.83 0.72 0.52 0.33 0.24 0.28 0.41 0.55 0.63 0.62 0.55 0.50 0.50 0.57 0.69 0.82 0.96 1.11 1.29 1.50 1.70 1.83 1.86 1.77 1.57 1.32 1.09 0.94 0.90 0.96 1.10 1.26 1.40 1.50 1.58 1.67 1.81 1.99 2.18 2.31 2.36 2.30 2.19 2.08 2.03 2.05 2.13 2.22 2.27 2.25 2.13 1.94 1.68 1.38 1.07 0.78 0.51 0.29 0.11 0.00 0.00 0.00 0.00 0.01 0.09 0.14 0.18 0.22 0.31 0.47 0.66 0.80 0.83 0.72 0.52 0.33 0.24 0.28 0.41 0.55 0.63 0.62 0.55 0.50 0.50 0.57 0.69 0.82 0.96 1.11 1.29 1.50 1.70 1.83 1.86 1.77 1.57 1.32 1.09 0.94 0.90 0.96 1.10 1.26 1.40 1.50 1.58 1.67 1.81 1.99 2.18 2.31 2.36 2.30 2.19 2.08 2.03 2.05 2.13 2.22 2.27 2.25 2.13 1.94 1.68 1.38 1.07 70.0 + 72.5 1.48 1.15 0.84 0.59 0.42 0.33 0.30 0.32 0.36 0.42 0.48 0.51 0.53 0.56 0.64 0.76 0.89 0.98 0.98 0.88 0.73 0.58 0.53 0.57 0.68 0.79 0.83 0.81 0.75 0.70 0.70 0.74 0.82 0.91 1.02 1.17 1.38 1.63 1.88 2.04 2.08 1.98 1.78 1.55 1.35 1.24 1.24 1.34 1.50 1.67 1.81 1.90 1.96 2.03 2.14 2.28 2.41 2.49 2.49 2.41 2.28 2.16 2.10 2.12 2.18 2.27 2.34 2.37 2.34 2.24 2.06 1.80 1.48 1.15 0.84 0.59 0.42 0.33 0.30 0.32 0.36 0.42 0.48 0.51 0.53 0.56 0.64 0.76 0.89 0.98 0.98 0.88 0.73 0.58 0.53 0.57 0.68 0.79 0.83 0.81 0.75 0.70 0.70 0.74 0.82 0.91 1.02 1.17 1.38 1.63 1.88 2.04 2.08 1.98 1.78 1.55 1.35 1.24 1.24 1.34 1.50 1.67 1.81 1.90 1.96 2.03 2.14 2.28 2.41 2.49 2.49 2.41 2.28 2.16 2.10 2.12 2.18 2.27 2.34 2.37 2.34 2.24 2.06 1.80 1.48 72.5 + 75.0 1.91 1.56 1.23 0.98 0.81 0.74 0.72 0.74 0.78 0.83 0.88 0.92 0.95 0.98 1.03 1.10 1.18 1.23 1.24 1.17 1.08 1.00 0.97 1.00 1.07 1.11 1.11 1.06 1.00 0.95 0.93 0.94 0.98 1.04 1.15 1.32 1.57 1.86 2.13 2.31 2.36 2.27 2.09 1.89 1.74 1.67 1.71 1.82 1.98 2.14 2.27 2.34 2.39 2.43 2.49 2.57 2.65 2.70 2.68 2.59 2.47 2.35 2.26 2.24 2.26 2.32 2.41 2.49 2.55 2.54 2.43 2.22 1.91 1.56 1.23 0.98 0.81 0.74 0.72 0.74 0.78 0.83 0.88 0.92 0.95 0.98 1.03 1.10 1.18 1.23 1.24 1.17 1.08 1.00 0.97 1.00 1.07 1.11 1.11 1.06 1.00 0.95 0.93 0.94 0.98 1.04 1.15 1.32 1.57 1.86 2.13 2.31 2.36 2.27 2.09 1.89 1.74 1.67 1.71 1.82 1.98 2.14 2.27 2.34 2.39 2.43 2.49 2.57 2.65 2.70 2.68 2.59 2.47 2.35 2.26 2.24 2.26 2.32 2.41 2.49 2.55 2.54 2.43 2.22 1.91 75.0 + 77.5 2.20 1.87 1.55 1.30 1.13 1.04 1.00 0.99 1.02 1.06 1.13 1.20 1.25 1.29 1.31 1.32 1.35 1.37 1.39 1.38 1.36 1.33 1.31 1.31 1.30 1.28 1.22 1.15 1.08 1.03 1.01 1.02 1.06 1.14 1.29 1.53 1.83 2.16 2.44 2.61 2.64 2.56 2.41 2.26 2.16 2.11 2.14 2.23 2.35 2.48 2.58 2.64 2.65 2.64 2.63 2.63 2.66 2.68 2.67 2.62 2.52 2.39 2.28 2.20 2.18 2.22 2.32 2.45 2.59 2.67 2.64 2.48 2.20 1.87 1.55 1.30 1.13 1.04 1.00 0.99 1.02 1.06 1.13 1.20 1.25 1.29 1.31 1.32 1.35 1.37 1.39 1.38 1.36 1.33 1.31 1.31 1.30 1.28 1.22 1.15 1.08 1.03 1.01 1.02 1.06 1.14 1.29 1.53 1.83 2.16 2.44 2.61 2.64 2.56 2.41 2.26 2.16 2.11 2.14 2.23 2.35 2.48 2.58 2.64 2.65 2.64 2.63 2.63 2.66 2.68 2.67 2.62 2.52 2.39 2.28 2.20 2.18 2.22 2.32 2.45 2.59 2.67 2.64 2.48 2.20 77.5 + 80.0 2.23 1.95 1.66 1.42 1.25 1.12 1.03 0.97 0.96 1.00 1.09 1.20 1.29 1.33 1.31 1.26 1.23 1.23 1.27 1.32 1.35 1.36 1.33 1.27 1.19 1.10 1.02 0.94 0.89 0.86 0.85 0.89 0.98 1.14 1.40 1.73 2.10 2.43 2.68 2.80 2.79 2.70 2.58 2.47 2.38 2.33 2.31 2.33 2.39 2.47 2.54 2.57 2.54 2.47 2.37 2.30 2.27 2.29 2.32 2.32 2.26 2.14 2.01 1.89 1.83 1.86 1.98 2.17 2.38 2.53 2.56 2.46 2.23 1.95 1.66 1.42 1.25 1.12 1.03 0.97 0.96 1.00 1.09 1.20 1.29 1.33 1.31 1.26 1.23 1.23 1.27 1.32 1.35 1.36 1.33 1.27 1.19 1.10 1.02 0.94 0.89 0.86 0.85 0.89 0.98 1.14 1.40 1.73 2.10 2.43 2.68 2.80 2.79 2.70 2.58 2.47 2.38 2.33 2.31 2.33 2.39 2.47 2.54 2.57 2.54 2.47 2.37 2.30 2.27 2.29 2.32 2.32 2.26 2.14 2.01 1.89 1.83 1.86 1.98 2.17 2.38 2.53 2.56 2.46 2.23 80.0 + 82.5 2.01 1.78 1.55 1.33 1.14 0.96 0.79 0.67 0.62 0.66 0.78 0.93 1.04 1.06 0.99 0.88 0.79 0.77 0.82 0.92 1.00 1.02 0.97 0.86 0.73 0.61 0.53 0.49 0.47 0.48 0.52 0.62 0.80 1.08 1.46 1.88 2.28 2.59 2.75 2.77 2.69 2.56 2.43 2.33 2.24 2.15 2.06 2.00 1.99 2.02 2.07 2.08 2.02 1.87 1.70 1.56 1.51 1.54 1.63 1.70 1.69 1.60 1.45 1.30 1.22 1.26 1.43 1.67 1.93 2.13 2.22 2.17 2.01 1.78 1.55 1.33 1.14 0.96 0.79 0.67 0.62 0.66 0.78 0.93 1.04 1.06 0.99 0.88 0.79 0.77 0.82 0.92 1.00 1.02 0.97 0.86 0.73 0.61 0.53 0.49 0.47 0.48 0.52 0.62 0.80 1.08 1.46 1.88 2.28 2.59 2.75 2.77 2.69 2.56 2.43 2.33 2.24 2.15 2.06 2.00 1.99 2.02 2.07 2.08 2.02 1.87 1.70 1.56 1.51 1.54 1.63 1.70 1.69 1.60 1.45 1.30 1.22 1.26 1.43 1.67 1.93 2.13 2.22 2.17 2.01 82.5 + 85.0 1.63 1.47 1.29 1.10 0.89 0.66 0.42 0.24 0.15 0.19 0.34 0.51 0.62 0.60 0.47 0.29 0.16 0.13 0.21 0.35 0.47 0.50 0.42 0.29 0.15 0.05 0.01 0.03 0.07 0.13 0.22 0.39 0.66 1.06 1.53 2.00 2.38 2.59 2.61 2.48 2.28 2.08 1.93 1.81 1.70 1.57 1.42 1.30 1.24 1.25 1.30 1.30 1.22 1.03 0.81 0.63 0.57 0.65 0.80 0.94 0.99 0.91 0.75 0.60 0.52 0.59 0.79 1.08 1.38 1.61 1.73 1.73 1.63 1.47 1.29 1.10 0.89 0.66 0.42 0.24 0.15 0.19 0.34 0.51 0.62 0.60 0.47 0.29 0.16 0.13 0.21 0.35 0.47 0.50 0.42 0.29 0.15 0.05 0.01 0.03 0.07 0.13 0.22 0.39 0.66 1.06 1.53 2.00 2.38 2.59 2.61 2.48 2.28 2.08 1.93 1.81 1.70 1.57 1.42 1.30 1.24 1.25 1.30 1.30 1.22 1.03 0.81 0.63 0.57 0.65 0.80 0.94 0.99 0.91 0.75 0.60 0.52 0.59 0.79 1.08 1.38 1.61 1.73 1.73 1.63 85.0 + 87.5 1.29 1.20 1.07 0.90 0.67 0.39 0.11 0.00 0.00 0.00 0.00 0.14 0.24 0.19 0.01 0.00 0.00 0.00 0.00 0.00 0.04 0.09 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.20 0.41 0.74 1.19 1.68 2.12 2.40 2.46 2.30 2.01 1.69 1.41 1.22 1.08 0.95 0.79 0.62 0.48 0.42 0.44 0.51 0.53 0.44 0.25 0.01 0.00 0.00 0.00 0.13 0.32 0.40 0.33 0.17 0.01 0.00 0.04 0.27 0.59 0.90 1.14 1.28 1.32 1.29 1.20 1.07 0.90 0.67 0.39 0.11 0.00 0.00 0.00 0.00 0.14 0.24 0.19 0.01 0.00 0.00 0.00 0.00 0.00 0.04 0.09 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.20 0.41 0.74 1.19 1.68 2.12 2.40 2.46 2.30 2.01 1.69 1.41 1.22 1.08 0.95 0.79 0.62 0.48 0.42 0.44 0.51 0.53 0.44 0.25 0.01 0.00 0.00 0.00 0.13 0.32 0.40 0.33 0.17 0.01 0.00 0.04 0.27 0.59 0.90 1.14 1.28 1.32 1.29 87.5 + 90.0 1.15 1.13 1.05 0.89 0.65 0.34 0.03 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.02 0.00 0.00 0.00 0.00 0.13 0.28 0.41 0.56 0.78 1.11 1.53 1.96 2.28 2.40 2.28 1.96 1.53 1.11 0.78 0.56 0.41 0.28 0.13 0.00 0.00 0.00 0.00 0.02 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.03 0.34 0.65 0.89 1.05 1.13 1.15 1.13 1.05 0.89 0.65 0.34 0.03 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.02 0.00 0.00 0.00 0.00 0.13 0.28 0.41 0.56 0.78 1.11 1.53 1.96 2.28 2.40 2.28 1.96 1.53 1.11 0.78 0.56 0.41 0.28 0.13 0.00 0.00 0.00 0.00 0.02 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.03 0.34 0.65 0.89 1.05 1.13 1.15 90.0 + + 80.0 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.80 ) PHI2 = 80. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 0.0 + 2.5 1.55 1.81 2.05 2.24 2.31 2.25 2.08 1.84 1.59 1.35 1.12 0.90 0.70 0.52 0.41 0.36 0.35 0.33 0.23 0.05 0.00 0.00 0.00 0.00 0.00 0.06 0.26 0.38 0.41 0.41 0.44 0.54 0.69 0.89 1.10 1.33 1.56 1.80 2.02 2.17 2.23 2.16 1.99 1.77 1.53 1.29 1.07 0.86 0.66 0.51 0.43 0.41 0.41 0.38 0.27 0.07 0.00 0.00 0.00 0.00 0.00 0.07 0.25 0.33 0.35 0.35 0.39 0.50 0.67 0.87 1.08 1.31 1.55 1.81 2.05 2.24 2.31 2.25 2.08 1.84 1.59 1.35 1.12 0.90 0.70 0.52 0.41 0.36 0.35 0.33 0.23 0.05 0.00 0.00 0.00 0.00 0.00 0.06 0.26 0.38 0.41 0.41 0.44 0.54 0.69 0.89 1.10 1.33 1.56 1.80 2.02 2.17 2.23 2.16 1.99 1.77 1.53 1.29 1.07 0.86 0.66 0.51 0.43 0.41 0.41 0.38 0.27 0.07 0.00 0.00 0.00 0.00 0.00 0.07 0.25 0.33 0.35 0.35 0.39 0.50 0.67 0.87 1.08 1.31 1.55 2.5 + 5.0 1.52 1.83 2.13 2.36 2.47 2.42 2.23 1.96 1.66 1.38 1.13 0.89 0.67 0.49 0.36 0.30 0.30 0.30 0.26 0.13 0.00 0.00 0.00 0.00 0.00 0.12 0.33 0.45 0.48 0.46 0.45 0.50 0.62 0.80 1.03 1.28 1.53 1.78 1.99 2.13 2.16 2.08 1.91 1.67 1.41 1.16 0.91 0.70 0.53 0.43 0.40 0.43 0.48 0.47 0.37 0.17 0.00 0.00 0.00 0.00 0.00 0.17 0.28 0.30 0.27 0.24 0.27 0.38 0.55 0.75 0.98 1.23 1.52 1.83 2.13 2.36 2.47 2.42 2.23 1.96 1.66 1.38 1.13 0.89 0.67 0.49 0.36 0.30 0.30 0.30 0.26 0.13 0.00 0.00 0.00 0.00 0.00 0.12 0.33 0.45 0.48 0.46 0.45 0.50 0.62 0.80 1.03 1.28 1.53 1.78 1.99 2.13 2.16 2.08 1.91 1.67 1.41 1.16 0.91 0.70 0.53 0.43 0.40 0.43 0.48 0.47 0.37 0.17 0.00 0.00 0.00 0.00 0.00 0.17 0.28 0.30 0.27 0.24 0.27 0.38 0.55 0.75 0.98 1.23 1.52 5.0 + 7.5 1.39 1.77 2.15 2.45 2.60 2.56 2.36 2.05 1.71 1.39 1.12 0.89 0.67 0.48 0.33 0.26 0.26 0.29 0.30 0.24 0.11 0.00 0.00 0.00 0.00 0.13 0.34 0.47 0.51 0.46 0.40 0.38 0.45 0.61 0.85 1.13 1.41 1.66 1.86 1.97 1.98 1.89 1.71 1.48 1.21 0.93 0.66 0.44 0.30 0.26 0.31 0.41 0.49 0.49 0.38 0.19 0.00 0.00 0.00 0.00 0.13 0.24 0.26 0.21 0.13 0.08 0.10 0.21 0.37 0.57 0.79 1.06 1.39 1.77 2.15 2.45 2.60 2.56 2.36 2.05 1.71 1.39 1.12 0.89 0.67 0.48 0.33 0.26 0.26 0.29 0.30 0.24 0.11 0.00 0.00 0.00 0.00 0.13 0.34 0.47 0.51 0.46 0.40 0.38 0.45 0.61 0.85 1.13 1.41 1.66 1.86 1.97 1.98 1.89 1.71 1.48 1.21 0.93 0.66 0.44 0.30 0.26 0.31 0.41 0.49 0.49 0.38 0.19 0.00 0.00 0.00 0.00 0.13 0.24 0.26 0.21 0.13 0.08 0.10 0.21 0.37 0.57 0.79 1.06 1.39 7.5 + 10.0 1.16 1.58 2.03 2.39 2.59 2.58 2.37 2.04 1.68 1.37 1.11 0.91 0.72 0.54 0.38 0.28 0.26 0.31 0.36 0.35 0.25 0.08 0.00 0.00 0.00 0.04 0.25 0.41 0.45 0.38 0.26 0.18 0.19 0.32 0.57 0.87 1.17 1.43 1.60 1.67 1.66 1.56 1.40 1.19 0.92 0.63 0.35 0.13 0.01 0.03 0.14 0.29 0.39 0.37 0.23 0.03 0.00 0.00 0.00 0.00 0.14 0.20 0.16 0.05 0.00 0.00 0.00 0.03 0.17 0.34 0.54 0.80 1.16 1.58 2.03 2.39 2.59 2.58 2.37 2.04 1.68 1.37 1.11 0.91 0.72 0.54 0.38 0.28 0.26 0.31 0.36 0.35 0.25 0.08 0.00 0.00 0.00 0.04 0.25 0.41 0.45 0.38 0.26 0.18 0.19 0.32 0.57 0.87 1.17 1.43 1.60 1.67 1.66 1.56 1.40 1.19 0.92 0.63 0.35 0.13 0.01 0.03 0.14 0.29 0.39 0.37 0.23 0.03 0.00 0.00 0.00 0.00 0.14 0.20 0.16 0.05 0.00 0.00 0.00 0.03 0.17 0.34 0.54 0.80 1.16 10.0 + 12.5 0.84 1.29 1.78 2.19 2.43 2.44 2.25 1.93 1.59 1.31 1.11 0.97 0.83 0.66 0.49 0.37 0.32 0.36 0.43 0.44 0.35 0.15 0.00 0.00 0.00 0.00 0.10 0.29 0.35 0.27 0.10 0.00 0.00 0.02 0.27 0.59 0.90 1.14 1.27 1.31 1.28 1.19 1.07 0.89 0.65 0.36 0.07 0.00 0.00 0.00 0.00 0.14 0.22 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.26 0.49 0.84 1.29 1.78 2.19 2.43 2.44 2.25 1.93 1.59 1.31 1.11 0.97 0.83 0.66 0.49 0.37 0.32 0.36 0.43 0.44 0.35 0.15 0.00 0.00 0.00 0.00 0.10 0.29 0.35 0.27 0.10 0.00 0.00 0.02 0.27 0.59 0.90 1.14 1.27 1.31 1.28 1.19 1.07 0.89 0.65 0.36 0.07 0.00 0.00 0.00 0.00 0.14 0.22 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.26 0.49 0.84 12.5 + 15.0 0.53 0.99 1.50 1.94 2.20 2.24 2.06 1.77 1.47 1.26 1.14 1.07 0.98 0.84 0.66 0.49 0.41 0.42 0.49 0.51 0.41 0.18 0.00 0.00 0.00 0.00 0.01 0.22 0.31 0.22 0.02 0.00 0.00 0.00 0.10 0.43 0.73 0.94 1.03 1.03 0.98 0.92 0.83 0.70 0.49 0.22 0.00 0.00 0.00 0.00 0.00 0.06 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.20 0.53 0.99 1.50 1.94 2.20 2.24 2.06 1.77 1.47 1.26 1.14 1.07 0.98 0.84 0.66 0.49 0.41 0.42 0.49 0.51 0.41 0.18 0.00 0.00 0.00 0.00 0.01 0.22 0.31 0.22 0.02 0.00 0.00 0.00 0.10 0.43 0.73 0.94 1.03 1.03 0.98 0.92 0.83 0.70 0.49 0.22 0.00 0.00 0.00 0.00 0.00 0.06 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.20 0.53 15.0 + 17.5 0.33 0.79 1.31 1.76 2.03 2.07 1.91 1.65 1.41 1.26 1.22 1.21 1.16 1.02 0.81 0.61 0.49 0.48 0.55 0.57 0.48 0.24 0.00 0.00 0.00 0.00 0.06 0.30 0.40 0.32 0.10 0.00 0.00 0.00 0.16 0.48 0.77 0.94 0.99 0.97 0.91 0.86 0.81 0.71 0.53 0.27 0.00 0.00 0.00 0.00 0.01 0.18 0.20 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.33 0.79 1.31 1.76 2.03 2.07 1.91 1.65 1.41 1.26 1.22 1.21 1.16 1.02 0.81 0.61 0.49 0.48 0.55 0.57 0.48 0.24 0.00 0.00 0.00 0.00 0.06 0.30 0.40 0.32 0.10 0.00 0.00 0.00 0.16 0.48 0.77 0.94 0.99 0.97 0.91 0.86 0.81 0.71 0.53 0.27 0.00 0.00 0.00 0.00 0.01 0.18 0.20 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.33 17.5 + 20.0 0.31 0.78 1.30 1.74 2.00 2.02 1.86 1.63 1.44 1.35 1.36 1.39 1.34 1.18 0.94 0.70 0.56 0.55 0.63 0.67 0.58 0.35 0.05 0.00 0.00 0.00 0.26 0.52 0.62 0.53 0.30 0.09 0.02 0.13 0.40 0.72 0.99 1.14 1.16 1.11 1.05 1.02 0.99 0.91 0.75 0.50 0.23 0.02 0.00 0.11 0.33 0.50 0.51 0.31 0.00 0.00 0.00 0.00 0.00 0.15 0.27 0.22 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.31 0.78 1.30 1.74 2.00 2.02 1.86 1.63 1.44 1.35 1.36 1.39 1.34 1.18 0.94 0.70 0.56 0.55 0.63 0.67 0.58 0.35 0.05 0.00 0.00 0.00 0.26 0.52 0.62 0.53 0.30 0.09 0.02 0.13 0.40 0.72 0.99 1.14 1.16 1.11 1.05 1.02 0.99 0.91 0.75 0.50 0.23 0.02 0.00 0.11 0.33 0.50 0.51 0.31 0.00 0.00 0.00 0.00 0.00 0.15 0.27 0.22 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.31 20.0 + 22.5 0.45 0.92 1.44 1.86 2.07 2.07 1.90 1.69 1.55 1.51 1.56 1.59 1.53 1.33 1.06 0.80 0.67 0.69 0.78 0.84 0.76 0.52 0.23 0.03 0.03 0.22 0.52 0.77 0.84 0.72 0.49 0.30 0.25 0.40 0.68 1.00 1.25 1.37 1.38 1.33 1.27 1.25 1.23 1.17 1.02 0.77 0.51 0.33 0.31 0.48 0.73 0.92 0.94 0.74 0.43 0.15 0.06 0.18 0.44 0.67 0.74 0.62 0.39 0.17 0.05 0.07 0.14 0.19 0.15 0.06 0.03 0.14 0.45 0.92 1.44 1.86 2.07 2.07 1.90 1.69 1.55 1.51 1.56 1.59 1.53 1.33 1.06 0.80 0.67 0.69 0.78 0.84 0.76 0.52 0.23 0.03 0.03 0.22 0.52 0.77 0.84 0.72 0.49 0.30 0.25 0.40 0.68 1.00 1.25 1.37 1.38 1.33 1.27 1.25 1.23 1.17 1.02 0.77 0.51 0.33 0.31 0.48 0.73 0.92 0.94 0.74 0.43 0.15 0.06 0.18 0.44 0.67 0.74 0.62 0.39 0.17 0.05 0.07 0.14 0.19 0.15 0.06 0.03 0.14 0.45 22.5 + 25.0 0.66 1.12 1.62 2.00 2.17 2.13 1.95 1.77 1.68 1.70 1.78 1.82 1.74 1.52 1.23 1.00 0.92 0.97 1.09 1.14 1.02 0.75 0.44 0.24 0.24 0.44 0.71 0.90 0.92 0.77 0.53 0.36 0.35 0.52 0.81 1.11 1.34 1.44 1.45 1.40 1.36 1.35 1.34 1.28 1.14 0.91 0.67 0.51 0.53 0.73 1.01 1.24 1.27 1.11 0.82 0.59 0.54 0.70 0.97 1.20 1.23 1.06 0.77 0.51 0.38 0.39 0.46 0.49 0.43 0.31 0.25 0.35 0.66 1.12 1.62 2.00 2.17 2.13 1.95 1.77 1.68 1.70 1.78 1.82 1.74 1.52 1.23 1.00 0.92 0.97 1.09 1.14 1.02 0.75 0.44 0.24 0.24 0.44 0.71 0.90 0.92 0.77 0.53 0.36 0.35 0.52 0.81 1.11 1.34 1.44 1.45 1.40 1.36 1.35 1.34 1.28 1.14 0.91 0.67 0.51 0.53 0.73 1.01 1.24 1.27 1.11 0.82 0.59 0.54 0.70 0.97 1.20 1.23 1.06 0.77 0.51 0.38 0.39 0.46 0.49 0.43 0.31 0.25 0.35 0.66 25.0 + 27.5 0.84 1.28 1.74 2.07 2.19 2.11 1.93 1.79 1.76 1.86 1.99 2.06 1.99 1.78 1.54 1.38 1.38 1.50 1.62 1.62 1.41 1.05 0.66 0.41 0.38 0.54 0.76 0.88 0.82 0.61 0.37 0.22 0.24 0.43 0.71 0.98 1.16 1.23 1.23 1.19 1.17 1.18 1.18 1.13 0.99 0.78 0.57 0.45 0.50 0.73 1.03 1.27 1.33 1.19 0.95 0.76 0.77 0.98 1.30 1.55 1.59 1.40 1.09 0.82 0.69 0.71 0.79 0.82 0.74 0.59 0.49 0.56 0.84 1.28 1.74 2.07 2.19 2.11 1.93 1.79 1.76 1.86 1.99 2.06 1.99 1.78 1.54 1.38 1.38 1.50 1.62 1.62 1.41 1.05 0.66 0.41 0.38 0.54 0.76 0.88 0.82 0.61 0.37 0.22 0.24 0.43 0.71 0.98 1.16 1.23 1.23 1.19 1.17 1.18 1.18 1.13 0.99 0.78 0.57 0.45 0.50 0.73 1.03 1.27 1.33 1.19 0.95 0.76 0.77 0.98 1.30 1.55 1.59 1.40 1.09 0.82 0.69 0.71 0.79 0.82 0.74 0.59 0.49 0.56 0.84 27.5 + 30.0 0.94 1.34 1.75 2.03 2.10 1.99 1.82 1.72 1.78 1.96 2.18 2.31 2.28 2.14 2.00 1.97 2.08 2.28 2.40 2.30 1.94 1.42 0.91 0.58 0.49 0.60 0.74 0.77 0.63 0.37 0.11 0.00 0.03 0.22 0.47 0.68 0.79 0.81 0.77 0.74 0.73 0.75 0.77 0.73 0.60 0.42 0.23 0.14 0.21 0.45 0.76 1.01 1.07 0.94 0.72 0.59 0.66 0.95 1.35 1.66 1.74 1.58 1.29 1.04 0.94 0.99 1.10 1.14 1.04 0.85 0.69 0.71 0.94 1.34 1.75 2.03 2.10 1.99 1.82 1.72 1.78 1.96 2.18 2.31 2.28 2.14 2.00 1.97 2.08 2.28 2.40 2.30 1.94 1.42 0.91 0.58 0.49 0.60 0.74 0.77 0.63 0.37 0.11 0.00 0.03 0.22 0.47 0.68 0.79 0.81 0.77 0.74 0.73 0.75 0.77 0.73 0.60 0.42 0.23 0.14 0.21 0.45 0.76 1.01 1.07 0.94 0.72 0.59 0.66 0.95 1.35 1.66 1.74 1.58 1.29 1.04 0.94 0.99 1.10 1.14 1.04 0.85 0.69 0.71 0.94 30.0 + 32.5 0.99 1.35 1.72 1.95 1.96 1.82 1.64 1.59 1.73 2.01 2.31 2.52 2.59 2.56 2.57 2.71 2.97 3.24 3.34 3.13 2.60 1.89 1.23 0.81 0.67 0.72 0.80 0.74 0.53 0.22 0.00 0.00 0.00 0.11 0.30 0.42 0.44 0.38 0.30 0.24 0.24 0.27 0.29 0.26 0.15 0.00 0.00 0.00 0.00 0.04 0.34 0.57 0.62 0.49 0.28 0.18 0.31 0.69 1.19 1.60 1.76 1.66 1.42 1.20 1.13 1.22 1.36 1.41 1.29 1.05 0.84 0.80 0.99 1.35 1.72 1.95 1.96 1.82 1.64 1.59 1.73 2.01 2.31 2.52 2.59 2.56 2.57 2.71 2.97 3.24 3.34 3.13 2.60 1.89 1.23 0.81 0.67 0.72 0.80 0.74 0.53 0.22 0.00 0.00 0.00 0.11 0.30 0.42 0.44 0.38 0.30 0.24 0.24 0.27 0.29 0.26 0.15 0.00 0.00 0.00 0.00 0.04 0.34 0.57 0.62 0.49 0.28 0.18 0.31 0.69 1.19 1.60 1.76 1.66 1.42 1.20 1.13 1.22 1.36 1.41 1.29 1.05 0.84 0.80 0.99 32.5 + 35.0 1.04 1.38 1.72 1.92 1.89 1.70 1.51 1.47 1.65 2.00 2.39 2.68 2.85 2.96 3.13 3.45 3.87 4.23 4.31 3.98 3.28 2.41 1.64 1.14 0.97 1.00 1.03 0.92 0.65 0.31 0.06 0.00 0.07 0.25 0.39 0.42 0.34 0.19 0.05 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.21 0.24 0.09 0.00 0.00 0.00 0.45 1.05 1.57 1.82 1.78 1.57 1.37 1.31 1.42 1.57 1.61 1.47 1.20 0.95 0.87 1.04 1.38 1.72 1.92 1.89 1.70 1.51 1.47 1.65 2.00 2.39 2.68 2.85 2.96 3.13 3.45 3.87 4.23 4.31 3.98 3.28 2.41 1.64 1.14 0.97 1.00 1.03 0.92 0.65 0.31 0.06 0.00 0.07 0.25 0.39 0.42 0.34 0.19 0.05 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.21 0.24 0.09 0.00 0.00 0.00 0.45 1.05 1.57 1.82 1.78 1.57 1.37 1.31 1.42 1.57 1.61 1.47 1.20 0.95 0.87 1.04 35.0 + 37.5 1.15 1.50 1.85 2.02 1.94 1.70 1.47 1.41 1.60 1.98 2.40 2.75 3.00 3.22 3.55 4.03 4.58 5.00 5.07 4.65 3.84 2.86 2.02 1.52 1.36 1.39 1.41 1.27 0.97 0.63 0.40 0.36 0.48 0.66 0.77 0.73 0.58 0.36 0.16 0.04 0.02 0.05 0.09 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.47 1.16 1.77 2.08 2.07 1.85 1.63 1.54 1.61 1.73 1.75 1.59 1.30 1.04 0.97 1.15 1.50 1.85 2.02 1.94 1.70 1.47 1.41 1.60 1.98 2.40 2.75 3.00 3.22 3.55 4.03 4.58 5.00 5.07 4.65 3.84 2.86 2.02 1.52 1.36 1.39 1.41 1.27 0.97 0.63 0.40 0.36 0.48 0.66 0.77 0.73 0.58 0.36 0.16 0.04 0.02 0.05 0.09 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.47 1.16 1.77 2.08 2.07 1.85 1.63 1.54 1.61 1.73 1.75 1.59 1.30 1.04 0.97 1.15 37.5 + 40.0 1.34 1.73 2.09 2.24 2.12 1.82 1.52 1.41 1.57 1.93 2.35 2.71 2.99 3.28 3.69 4.27 4.90 5.36 5.41 4.95 4.07 3.07 2.23 1.77 1.66 1.73 1.77 1.63 1.32 0.99 0.79 0.79 0.95 1.15 1.26 1.21 1.02 0.77 0.55 0.43 0.41 0.46 0.51 0.49 0.35 0.13 0.00 0.00 0.00 0.00 0.23 0.41 0.41 0.22 0.00 0.00 0.23 0.85 1.63 2.29 2.64 2.61 2.34 2.03 1.86 1.85 1.91 1.88 1.69 1.40 1.15 1.12 1.34 1.73 2.09 2.24 2.12 1.82 1.52 1.41 1.57 1.93 2.35 2.71 2.99 3.28 3.69 4.27 4.90 5.36 5.41 4.95 4.07 3.07 2.23 1.77 1.66 1.73 1.77 1.63 1.32 0.99 0.79 0.79 0.95 1.15 1.26 1.21 1.02 0.77 0.55 0.43 0.41 0.46 0.51 0.49 0.35 0.13 0.00 0.00 0.00 0.00 0.23 0.41 0.41 0.22 0.00 0.00 0.23 0.85 1.63 2.29 2.64 2.61 2.34 2.03 1.86 1.85 1.91 1.88 1.69 1.40 1.15 1.12 1.34 40.0 + 42.5 1.57 1.99 2.36 2.49 2.33 1.97 1.61 1.45 1.56 1.88 2.26 2.58 2.84 3.11 3.53 4.12 4.76 5.21 5.23 4.75 3.87 2.90 2.12 1.73 1.69 1.82 1.88 1.76 1.47 1.16 0.99 1.03 1.23 1.46 1.60 1.57 1.41 1.18 0.98 0.88 0.90 0.98 1.06 1.06 0.94 0.70 0.43 0.26 0.27 0.46 0.73 0.93 0.93 0.74 0.53 0.52 0.86 1.55 2.39 3.10 3.44 3.37 3.01 2.58 2.29 2.17 2.13 2.03 1.81 1.51 1.29 1.30 1.57 1.99 2.36 2.49 2.33 1.97 1.61 1.45 1.56 1.88 2.26 2.58 2.84 3.11 3.53 4.12 4.76 5.21 5.23 4.75 3.87 2.90 2.12 1.73 1.69 1.82 1.88 1.76 1.47 1.16 0.99 1.03 1.23 1.46 1.60 1.57 1.41 1.18 0.98 0.88 0.90 0.98 1.06 1.06 0.94 0.70 0.43 0.26 0.27 0.46 0.73 0.93 0.93 0.74 0.53 0.52 0.86 1.55 2.39 3.10 3.44 3.37 3.01 2.58 2.29 2.17 2.13 2.03 1.81 1.51 1.29 1.30 1.57 42.5 + 45.0 1.76 2.19 2.55 2.65 2.45 2.05 1.66 1.46 1.54 1.82 2.14 2.40 2.58 2.78 3.12 3.63 4.20 4.59 4.58 4.10 3.26 2.35 1.67 1.36 1.39 1.56 1.65 1.55 1.28 1.00 0.85 0.92 1.14 1.40 1.58 1.61 1.50 1.33 1.19 1.15 1.21 1.35 1.48 1.53 1.43 1.20 0.93 0.75 0.76 0.96 1.25 1.46 1.48 1.33 1.16 1.21 1.63 2.39 3.29 4.02 4.34 4.20 3.75 3.21 2.80 2.56 2.42 2.25 1.98 1.66 1.45 1.47 1.76 2.19 2.55 2.65 2.45 2.05 1.66 1.46 1.54 1.82 2.14 2.40 2.58 2.78 3.12 3.63 4.20 4.59 4.58 4.10 3.26 2.35 1.67 1.36 1.39 1.56 1.65 1.55 1.28 1.00 0.85 0.92 1.14 1.40 1.58 1.61 1.50 1.33 1.19 1.15 1.21 1.35 1.48 1.53 1.43 1.20 0.93 0.75 0.76 0.96 1.25 1.46 1.48 1.33 1.16 1.21 1.63 2.39 3.29 4.02 4.34 4.20 3.75 3.21 2.80 2.56 2.42 2.25 1.98 1.66 1.45 1.47 1.76 45.0 + 47.5 1.87 2.26 2.58 2.65 2.42 2.00 1.61 1.42 1.49 1.74 2.02 2.21 2.29 2.37 2.57 2.95 3.40 3.70 3.66 3.19 2.42 1.61 1.02 0.79 0.86 1.06 1.17 1.08 0.84 0.58 0.44 0.50 0.72 0.99 1.19 1.27 1.24 1.14 1.07 1.08 1.20 1.39 1.58 1.67 1.62 1.43 1.18 1.02 1.05 1.27 1.58 1.82 1.88 1.77 1.68 1.82 2.33 3.16 4.10 4.84 5.13 4.95 4.43 3.82 3.32 3.00 2.77 2.53 2.20 1.85 1.61 1.61 1.87 2.26 2.58 2.65 2.42 2.00 1.61 1.42 1.49 1.74 2.02 2.21 2.29 2.37 2.57 2.95 3.40 3.70 3.66 3.19 2.42 1.61 1.02 0.79 0.86 1.06 1.17 1.08 0.84 0.58 0.44 0.50 0.72 0.99 1.19 1.27 1.24 1.14 1.07 1.08 1.20 1.39 1.58 1.67 1.62 1.43 1.18 1.02 1.05 1.27 1.58 1.82 1.88 1.77 1.68 1.82 2.33 3.16 4.10 4.84 5.13 4.95 4.43 3.82 3.32 3.00 2.77 2.53 2.20 1.85 1.61 1.61 1.87 47.5 + 50.0 1.89 2.21 2.46 2.47 2.22 1.82 1.45 1.30 1.39 1.64 1.90 2.02 2.01 1.97 2.04 2.27 2.59 2.81 2.75 2.32 1.64 0.93 0.43 0.26 0.36 0.57 0.68 0.60 0.37 0.12 0.00 0.01 0.19 0.43 0.63 0.74 0.75 0.72 0.70 0.75 0.90 1.13 1.35 1.49 1.48 1.34 1.14 1.02 1.07 1.32 1.65 1.92 2.02 1.98 1.98 2.22 2.81 3.71 4.66 5.38 5.66 5.45 4.91 4.29 3.77 3.41 3.13 2.83 2.45 2.05 1.76 1.70 1.89 2.21 2.46 2.47 2.22 1.82 1.45 1.30 1.39 1.64 1.90 2.02 2.01 1.97 2.04 2.27 2.59 2.81 2.75 2.32 1.64 0.93 0.43 0.26 0.36 0.57 0.68 0.60 0.37 0.12 0.00 0.01 0.19 0.43 0.63 0.74 0.75 0.72 0.70 0.75 0.90 1.13 1.35 1.49 1.48 1.34 1.14 1.02 1.07 1.32 1.65 1.92 2.02 1.98 1.98 2.22 2.81 3.71 4.66 5.38 5.66 5.45 4.91 4.29 3.77 3.41 3.13 2.83 2.45 2.05 1.76 1.70 1.89 50.0 + 52.5 1.85 2.07 2.23 2.20 1.93 1.55 1.23 1.11 1.24 1.51 1.75 1.84 1.77 1.65 1.61 1.74 1.97 2.14 2.08 1.71 1.14 0.54 0.13 0.02 0.13 0.33 0.43 0.35 0.13 0.00 0.00 0.00 0.00 0.01 0.18 0.28 0.31 0.30 0.31 0.38 0.53 0.75 0.98 1.13 1.15 1.04 0.89 0.81 0.91 1.18 1.52 1.80 1.94 1.97 2.06 2.39 3.04 3.95 4.88 5.56 5.80 5.59 5.09 4.51 4.04 3.70 3.41 3.08 2.66 2.21 1.87 1.74 1.85 2.07 2.23 2.20 1.93 1.55 1.23 1.11 1.24 1.51 1.75 1.84 1.77 1.65 1.61 1.74 1.97 2.14 2.08 1.71 1.14 0.54 0.13 0.02 0.13 0.33 0.43 0.35 0.13 0.00 0.00 0.00 0.00 0.01 0.18 0.28 0.31 0.30 0.31 0.38 0.53 0.75 0.98 1.13 1.15 1.04 0.89 0.81 0.91 1.18 1.52 1.80 1.94 1.97 2.06 2.39 3.04 3.95 4.88 5.56 5.80 5.59 5.09 4.51 4.04 3.70 3.41 3.08 2.66 2.21 1.87 1.74 1.85 52.5 + 55.0 1.75 1.89 1.97 1.88 1.60 1.24 0.95 0.87 1.02 1.30 1.54 1.62 1.54 1.39 1.32 1.40 1.60 1.77 1.75 1.47 1.00 0.52 0.20 0.13 0.26 0.43 0.51 0.43 0.20 0.00 0.00 0.00 0.00 0.00 0.04 0.12 0.14 0.13 0.13 0.19 0.32 0.50 0.69 0.81 0.81 0.72 0.60 0.57 0.70 0.98 1.31 1.59 1.75 1.83 1.99 2.36 3.03 3.90 4.74 5.33 5.52 5.33 4.90 4.43 4.05 3.78 3.53 3.20 2.77 2.30 1.92 1.73 1.75 1.89 1.97 1.88 1.60 1.24 0.95 0.87 1.02 1.30 1.54 1.62 1.54 1.39 1.32 1.40 1.60 1.77 1.75 1.47 1.00 0.52 0.20 0.13 0.26 0.43 0.51 0.43 0.20 0.00 0.00 0.00 0.00 0.00 0.04 0.12 0.14 0.13 0.13 0.19 0.32 0.50 0.69 0.81 0.81 0.72 0.60 0.57 0.70 0.98 1.31 1.59 1.75 1.83 1.99 2.36 3.03 3.90 4.74 5.33 5.52 5.33 4.90 4.43 4.05 3.78 3.53 3.20 2.77 2.30 1.92 1.73 1.75 55.0 + 57.5 1.63 1.69 1.70 1.57 1.27 0.92 0.65 0.58 0.73 1.00 1.24 1.33 1.28 1.16 1.12 1.22 1.44 1.64 1.67 1.47 1.11 0.73 0.49 0.47 0.61 0.77 0.83 0.73 0.50 0.24 0.06 0.00 0.05 0.14 0.23 0.28 0.29 0.28 0.27 0.31 0.39 0.51 0.62 0.67 0.63 0.52 0.42 0.42 0.56 0.83 1.14 1.39 1.53 1.63 1.81 2.20 2.82 3.58 4.29 4.75 4.88 4.70 4.37 4.04 3.80 3.63 3.44 3.15 2.74 2.27 1.88 1.67 1.63 1.69 1.70 1.57 1.27 0.92 0.65 0.58 0.73 1.00 1.24 1.33 1.28 1.16 1.12 1.22 1.44 1.64 1.67 1.47 1.11 0.73 0.49 0.47 0.61 0.77 0.83 0.73 0.50 0.24 0.06 0.00 0.05 0.14 0.23 0.28 0.29 0.28 0.27 0.31 0.39 0.51 0.62 0.67 0.63 0.52 0.42 0.42 0.56 0.83 1.14 1.39 1.53 1.63 1.81 2.20 2.82 3.58 4.29 4.75 4.88 4.70 4.37 4.04 3.80 3.63 3.44 3.15 2.74 2.27 1.88 1.67 1.63 57.5 + 60.0 1.48 1.47 1.43 1.25 0.94 0.59 0.32 0.25 0.38 0.63 0.86 0.97 0.95 0.90 0.93 1.09 1.35 1.58 1.66 1.52 1.23 0.93 0.77 0.79 0.94 1.09 1.14 1.02 0.80 0.56 0.40 0.36 0.42 0.51 0.60 0.65 0.66 0.65 0.65 0.67 0.72 0.76 0.77 0.73 0.61 0.47 0.38 0.39 0.53 0.77 1.03 1.22 1.32 1.41 1.58 1.92 2.46 3.07 3.61 3.93 3.99 3.84 3.62 3.44 3.35 3.29 3.17 2.93 2.56 2.14 1.77 1.55 1.48 1.47 1.43 1.25 0.94 0.59 0.32 0.25 0.38 0.63 0.86 0.97 0.95 0.90 0.93 1.09 1.35 1.58 1.66 1.52 1.23 0.93 0.77 0.79 0.94 1.09 1.14 1.02 0.80 0.56 0.40 0.36 0.42 0.51 0.60 0.65 0.66 0.65 0.65 0.67 0.72 0.76 0.77 0.73 0.61 0.47 0.38 0.39 0.53 0.77 1.03 1.22 1.32 1.41 1.58 1.92 2.46 3.07 3.61 3.93 3.99 3.84 3.62 3.44 3.35 3.29 3.17 2.93 2.56 2.14 1.77 1.55 1.48 60.0 + 62.5 1.31 1.25 1.14 0.93 0.61 0.27 0.01 0.00 0.03 0.24 0.45 0.56 0.59 0.61 0.70 0.92 1.21 1.46 1.54 1.43 1.18 0.93 0.82 0.88 1.05 1.20 1.24 1.12 0.91 0.71 0.59 0.60 0.70 0.83 0.94 1.01 1.04 1.06 1.09 1.11 1.13 1.10 1.02 0.87 0.69 0.51 0.42 0.44 0.58 0.78 0.96 1.08 1.13 1.18 1.32 1.61 2.04 2.50 2.87 3.05 3.05 2.94 2.83 2.78 2.82 2.86 2.81 2.63 2.32 1.95 1.63 1.41 1.31 1.25 1.14 0.93 0.61 0.27 0.01 0.00 0.03 0.24 0.45 0.56 0.59 0.61 0.70 0.92 1.21 1.46 1.54 1.43 1.18 0.93 0.82 0.88 1.05 1.20 1.24 1.12 0.91 0.71 0.59 0.60 0.70 0.83 0.94 1.01 1.04 1.06 1.09 1.11 1.13 1.10 1.02 0.87 0.69 0.51 0.42 0.44 0.58 0.78 0.96 1.08 1.13 1.18 1.32 1.61 2.04 2.50 2.87 3.05 3.05 2.94 2.83 2.78 2.82 2.86 2.81 2.63 2.32 1.95 1.63 1.41 1.31 62.5 + 65.0 1.17 1.05 0.88 0.63 0.32 0.00 0.00 0.00 0.00 0.00 0.11 0.22 0.27 0.33 0.47 0.71 1.00 1.22 1.28 1.15 0.91 0.69 0.62 0.71 0.90 1.06 1.10 0.99 0.81 0.65 0.60 0.66 0.81 0.97 1.11 1.21 1.28 1.35 1.41 1.46 1.45 1.37 1.21 0.98 0.75 0.56 0.48 0.52 0.65 0.81 0.94 0.98 0.97 0.99 1.11 1.35 1.69 2.01 2.24 2.32 2.28 2.20 2.18 2.25 2.37 2.48 2.49 2.36 2.11 1.80 1.52 1.31 1.17 1.05 0.88 0.63 0.32 0.00 0.00 0.00 0.00 0.00 0.11 0.22 0.27 0.33 0.47 0.71 1.00 1.22 1.28 1.15 0.91 0.69 0.62 0.71 0.90 1.06 1.10 0.99 0.81 0.65 0.60 0.66 0.81 0.97 1.11 1.21 1.28 1.35 1.41 1.46 1.45 1.37 1.21 0.98 0.75 0.56 0.48 0.52 0.65 0.81 0.94 0.98 0.97 0.99 1.11 1.35 1.69 2.01 2.24 2.32 2.28 2.20 2.18 2.25 2.37 2.48 2.49 2.36 2.11 1.80 1.52 1.31 1.17 65.0 + 67.5 1.16 0.96 0.73 0.45 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.09 0.16 0.31 0.54 0.79 0.95 0.96 0.80 0.56 0.38 0.34 0.46 0.66 0.83 0.87 0.78 0.63 0.52 0.51 0.62 0.79 0.97 1.12 1.24 1.35 1.47 1.58 1.65 1.64 1.52 1.30 1.02 0.77 0.59 0.55 0.62 0.77 0.90 0.98 0.97 0.94 0.94 1.05 1.27 1.54 1.77 1.90 1.90 1.84 1.80 1.83 1.96 2.13 2.27 2.30 2.22 2.03 1.79 1.55 1.34 1.16 0.96 0.73 0.45 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.09 0.16 0.31 0.54 0.79 0.95 0.96 0.80 0.56 0.38 0.34 0.46 0.66 0.83 0.87 0.78 0.63 0.52 0.51 0.62 0.79 0.97 1.12 1.24 1.35 1.47 1.58 1.65 1.64 1.52 1.30 1.02 0.77 0.59 0.55 0.62 0.77 0.90 0.98 0.97 0.94 0.94 1.05 1.27 1.54 1.77 1.90 1.90 1.84 1.80 1.83 1.96 2.13 2.27 2.30 2.22 2.03 1.79 1.55 1.34 1.16 67.5 + 70.0 1.32 1.05 0.76 0.45 0.17 0.00 0.00 0.00 0.00 0.00 0.03 0.08 0.12 0.19 0.32 0.52 0.70 0.80 0.76 0.58 0.37 0.22 0.22 0.36 0.56 0.71 0.74 0.66 0.55 0.47 0.49 0.61 0.77 0.93 1.07 1.21 1.36 1.52 1.68 1.77 1.74 1.59 1.34 1.06 0.82 0.69 0.70 0.82 0.98 1.11 1.16 1.14 1.09 1.11 1.22 1.43 1.66 1.83 1.90 1.87 1.79 1.76 1.82 1.95 2.12 2.25 2.30 2.25 2.12 1.96 1.76 1.55 1.32 1.05 0.76 0.45 0.17 0.00 0.00 0.00 0.00 0.00 0.03 0.08 0.12 0.19 0.32 0.52 0.70 0.80 0.76 0.58 0.37 0.22 0.22 0.36 0.56 0.71 0.74 0.66 0.55 0.47 0.49 0.61 0.77 0.93 1.07 1.21 1.36 1.52 1.68 1.77 1.74 1.59 1.34 1.06 0.82 0.69 0.70 0.82 0.98 1.11 1.16 1.14 1.09 1.11 1.22 1.43 1.66 1.83 1.90 1.87 1.79 1.76 1.82 1.95 2.12 2.25 2.30 2.25 2.12 1.96 1.76 1.55 1.32 70.0 + 72.5 1.66 1.33 0.99 0.67 0.40 0.22 0.13 0.13 0.18 0.24 0.30 0.33 0.36 0.43 0.55 0.69 0.82 0.87 0.80 0.64 0.46 0.37 0.40 0.54 0.71 0.82 0.83 0.74 0.64 0.59 0.62 0.71 0.84 0.97 1.10 1.25 1.43 1.64 1.82 1.92 1.89 1.73 1.47 1.21 1.01 0.94 1.00 1.15 1.33 1.46 1.51 1.49 1.46 1.48 1.60 1.79 1.99 2.13 2.16 2.11 2.03 1.99 2.03 2.13 2.26 2.37 2.42 2.41 2.36 2.27 2.13 1.92 1.66 1.33 0.99 0.67 0.40 0.22 0.13 0.13 0.18 0.24 0.30 0.33 0.36 0.43 0.55 0.69 0.82 0.87 0.80 0.64 0.46 0.37 0.40 0.54 0.71 0.82 0.83 0.74 0.64 0.59 0.62 0.71 0.84 0.97 1.10 1.25 1.43 1.64 1.82 1.92 1.89 1.73 1.47 1.21 1.01 0.94 1.00 1.15 1.33 1.46 1.51 1.49 1.46 1.48 1.60 1.79 1.99 2.13 2.16 2.11 2.03 1.99 2.03 2.13 2.26 2.37 2.42 2.41 2.36 2.27 2.13 1.92 1.66 72.5 + 75.0 2.07 1.72 1.34 1.01 0.76 0.60 0.53 0.52 0.55 0.60 0.64 0.68 0.73 0.81 0.91 1.01 1.09 1.10 1.03 0.91 0.81 0.77 0.82 0.93 1.03 1.08 1.04 0.94 0.84 0.80 0.82 0.89 0.99 1.10 1.24 1.42 1.64 1.88 2.09 2.18 2.15 1.98 1.74 1.51 1.36 1.33 1.42 1.59 1.76 1.89 1.94 1.93 1.91 1.93 2.02 2.18 2.34 2.44 2.46 2.41 2.32 2.27 2.27 2.32 2.40 2.47 2.53 2.58 2.61 2.60 2.52 2.35 2.07 1.72 1.34 1.01 0.76 0.60 0.53 0.52 0.55 0.60 0.64 0.68 0.73 0.81 0.91 1.01 1.09 1.10 1.03 0.91 0.81 0.77 0.82 0.93 1.03 1.08 1.04 0.94 0.84 0.80 0.82 0.89 0.99 1.10 1.24 1.42 1.64 1.88 2.09 2.18 2.15 1.98 1.74 1.51 1.36 1.33 1.42 1.59 1.76 1.89 1.94 1.93 1.91 1.93 2.02 2.18 2.34 2.44 2.46 2.41 2.32 2.27 2.27 2.32 2.40 2.47 2.53 2.58 2.61 2.60 2.52 2.35 2.07 75.0 + 77.5 2.40 2.05 1.68 1.34 1.09 0.93 0.84 0.81 0.82 0.85 0.91 0.98 1.06 1.15 1.23 1.30 1.33 1.32 1.27 1.22 1.18 1.18 1.22 1.28 1.30 1.27 1.17 1.06 0.97 0.93 0.95 1.02 1.12 1.26 1.44 1.68 1.96 2.23 2.44 2.52 2.46 2.30 2.08 1.89 1.77 1.76 1.83 1.96 2.11 2.21 2.26 2.25 2.22 2.21 2.25 2.34 2.45 2.53 2.55 2.51 2.44 2.37 2.32 2.32 2.35 2.41 2.50 2.61 2.72 2.80 2.79 2.66 2.40 2.05 1.68 1.34 1.09 0.93 0.84 0.81 0.82 0.85 0.91 0.98 1.06 1.15 1.23 1.30 1.33 1.32 1.27 1.22 1.18 1.18 1.22 1.28 1.30 1.27 1.17 1.06 0.97 0.93 0.95 1.02 1.12 1.26 1.44 1.68 1.96 2.23 2.44 2.52 2.46 2.30 2.08 1.89 1.77 1.76 1.83 1.96 2.11 2.21 2.26 2.25 2.22 2.21 2.25 2.34 2.45 2.53 2.55 2.51 2.44 2.37 2.32 2.32 2.35 2.41 2.50 2.61 2.72 2.80 2.79 2.66 2.40 77.5 + 80.0 2.50 2.19 1.84 1.53 1.27 1.08 0.96 0.88 0.85 0.88 0.96 1.07 1.20 1.30 1.35 1.36 1.35 1.32 1.30 1.30 1.32 1.35 1.36 1.35 1.28 1.17 1.05 0.94 0.87 0.86 0.90 1.00 1.14 1.34 1.61 1.94 2.27 2.56 2.74 2.78 2.69 2.51 2.31 2.15 2.04 1.99 2.01 2.08 2.16 2.23 2.26 2.24 2.19 2.12 2.09 2.10 2.16 2.22 2.27 2.27 2.22 2.15 2.08 2.03 2.03 2.10 2.22 2.40 2.59 2.75 2.80 2.72 2.50 2.19 1.84 1.53 1.27 1.08 0.96 0.88 0.85 0.88 0.96 1.07 1.20 1.30 1.35 1.36 1.35 1.32 1.30 1.30 1.32 1.35 1.36 1.35 1.28 1.17 1.05 0.94 0.87 0.86 0.90 1.00 1.14 1.34 1.61 1.94 2.27 2.56 2.74 2.78 2.69 2.51 2.31 2.15 2.04 1.99 2.01 2.08 2.16 2.23 2.26 2.24 2.19 2.12 2.09 2.10 2.16 2.22 2.27 2.27 2.22 2.15 2.08 2.03 2.03 2.10 2.22 2.40 2.59 2.75 2.80 2.72 2.50 80.0 + 82.5 2.34 2.09 1.79 1.50 1.24 1.02 0.84 0.71 0.65 0.67 0.77 0.93 1.07 1.16 1.17 1.11 1.04 0.99 0.99 1.04 1.11 1.15 1.13 1.05 0.92 0.78 0.66 0.58 0.56 0.60 0.69 0.83 1.05 1.35 1.72 2.13 2.49 2.75 2.86 2.82 2.67 2.47 2.27 2.10 1.97 1.88 1.82 1.80 1.81 1.85 1.87 1.84 1.75 1.63 1.52 1.46 1.48 1.56 1.66 1.71 1.71 1.64 1.55 1.48 1.48 1.56 1.73 1.97 2.22 2.43 2.54 2.51 2.34 2.09 1.79 1.50 1.24 1.02 0.84 0.71 0.65 0.67 0.77 0.93 1.07 1.16 1.17 1.11 1.04 0.99 0.99 1.04 1.11 1.15 1.13 1.05 0.92 0.78 0.66 0.58 0.56 0.60 0.69 0.83 1.05 1.35 1.72 2.13 2.49 2.75 2.86 2.82 2.67 2.47 2.27 2.10 1.97 1.88 1.82 1.80 1.81 1.85 1.87 1.84 1.75 1.63 1.52 1.46 1.48 1.56 1.66 1.71 1.71 1.64 1.55 1.48 1.48 1.56 1.73 1.97 2.22 2.43 2.54 2.51 2.34 82.5 + 85.0 2.02 1.83 1.60 1.34 1.08 0.83 0.59 0.41 0.32 0.33 0.45 0.62 0.76 0.81 0.75 0.63 0.50 0.43 0.46 0.55 0.64 0.69 0.65 0.53 0.38 0.26 0.19 0.18 0.23 0.33 0.47 0.67 0.97 1.35 1.80 2.24 2.58 2.76 2.76 2.60 2.36 2.11 1.89 1.71 1.55 1.40 1.27 1.18 1.15 1.17 1.19 1.16 1.06 0.90 0.73 0.64 0.65 0.76 0.92 1.03 1.07 1.01 0.91 0.83 0.83 0.93 1.14 1.43 1.72 1.96 2.10 2.11 2.02 1.83 1.60 1.34 1.08 0.83 0.59 0.41 0.32 0.33 0.45 0.62 0.76 0.81 0.75 0.63 0.50 0.43 0.46 0.55 0.64 0.69 0.65 0.53 0.38 0.26 0.19 0.18 0.23 0.33 0.47 0.67 0.97 1.35 1.80 2.24 2.58 2.76 2.76 2.60 2.36 2.11 1.89 1.71 1.55 1.40 1.27 1.18 1.15 1.17 1.19 1.16 1.06 0.90 0.73 0.64 0.65 0.76 0.92 1.03 1.07 1.01 0.91 0.83 0.83 0.93 1.14 1.43 1.72 1.96 2.10 2.11 2.02 85.0 + 87.5 1.70 1.59 1.42 1.20 0.94 0.66 0.38 0.16 0.04 0.05 0.17 0.33 0.44 0.44 0.32 0.13 0.00 0.00 0.00 0.08 0.21 0.27 0.22 0.11 0.00 0.00 0.00 0.00 0.12 0.27 0.45 0.70 1.04 1.47 1.93 2.33 2.58 2.63 2.48 2.19 1.86 1.55 1.31 1.11 0.92 0.74 0.58 0.47 0.44 0.47 0.51 0.51 0.41 0.23 0.05 0.00 0.00 0.14 0.34 0.49 0.55 0.49 0.37 0.28 0.28 0.40 0.64 0.94 1.25 1.50 1.67 1.73 1.70 1.59 1.42 1.20 0.94 0.66 0.38 0.16 0.04 0.05 0.17 0.33 0.44 0.44 0.32 0.13 0.00 0.00 0.00 0.08 0.21 0.27 0.22 0.11 0.00 0.00 0.00 0.00 0.12 0.27 0.45 0.70 1.04 1.47 1.93 2.33 2.58 2.63 2.48 2.19 1.86 1.55 1.31 1.11 0.92 0.74 0.58 0.47 0.44 0.47 0.51 0.51 0.41 0.23 0.05 0.00 0.00 0.14 0.34 0.49 0.55 0.49 0.37 0.28 0.28 0.40 0.64 0.94 1.25 1.50 1.67 1.73 1.70 87.5 + 90.0 1.57 1.53 1.42 1.23 0.97 0.67 0.37 0.13 0.00 0.01 0.11 0.25 0.33 0.29 0.13 0.00 0.00 0.00 0.00 0.00 0.08 0.17 0.15 0.06 0.00 0.00 0.05 0.19 0.37 0.55 0.76 1.02 1.36 1.77 2.17 2.46 2.57 2.46 2.17 1.77 1.36 1.02 0.76 0.55 0.37 0.19 0.05 0.00 0.00 0.06 0.15 0.17 0.08 0.00 0.00 0.00 0.00 0.00 0.13 0.29 0.33 0.25 0.11 0.01 0.00 0.13 0.37 0.67 0.97 1.23 1.42 1.53 1.57 1.53 1.42 1.23 0.97 0.67 0.37 0.13 0.00 0.01 0.11 0.25 0.33 0.29 0.13 0.00 0.00 0.00 0.00 0.00 0.08 0.17 0.15 0.06 0.00 0.00 0.05 0.19 0.37 0.55 0.76 1.02 1.36 1.77 2.17 2.46 2.57 2.46 2.17 1.77 1.36 1.02 0.76 0.55 0.37 0.19 0.05 0.00 0.00 0.06 0.15 0.17 0.08 0.00 0.00 0.00 0.00 0.00 0.13 0.29 0.33 0.25 0.11 0.01 0.00 0.13 0.37 0.67 0.97 1.23 1.42 1.53 1.57 90.0 + + 82.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.21 ) PHI2 = 83. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 0.0 + 2.5 1.82 2.06 2.24 2.31 2.25 2.08 1.84 1.59 1.34 1.12 0.90 0.69 0.52 0.40 0.36 0.35 0.33 0.23 0.05 0.00 0.00 0.00 0.00 0.00 0.06 0.26 0.38 0.41 0.41 0.44 0.53 0.69 0.88 1.10 1.32 1.56 1.80 2.01 2.17 2.22 2.16 2.00 1.77 1.53 1.29 1.07 0.86 0.67 0.52 0.43 0.41 0.41 0.38 0.27 0.07 0.00 0.00 0.00 0.00 0.00 0.07 0.24 0.33 0.35 0.35 0.39 0.50 0.67 0.87 1.09 1.32 1.56 1.82 2.06 2.24 2.31 2.25 2.08 1.84 1.59 1.34 1.12 0.90 0.69 0.52 0.40 0.36 0.35 0.33 0.23 0.05 0.00 0.00 0.00 0.00 0.00 0.06 0.26 0.38 0.41 0.41 0.44 0.53 0.69 0.88 1.10 1.32 1.56 1.80 2.01 2.17 2.22 2.16 2.00 1.77 1.53 1.29 1.07 0.86 0.67 0.52 0.43 0.41 0.41 0.38 0.27 0.07 0.00 0.00 0.00 0.00 0.00 0.07 0.24 0.33 0.35 0.35 0.39 0.50 0.67 0.87 1.09 1.32 1.56 1.82 2.5 + 5.0 1.84 2.14 2.37 2.47 2.41 2.22 1.94 1.64 1.36 1.11 0.87 0.65 0.47 0.34 0.29 0.29 0.30 0.26 0.13 0.00 0.00 0.00 0.00 0.00 0.12 0.33 0.45 0.48 0.46 0.45 0.49 0.60 0.79 1.01 1.26 1.51 1.76 1.97 2.12 2.15 2.08 1.91 1.68 1.42 1.17 0.92 0.71 0.54 0.43 0.40 0.44 0.48 0.46 0.36 0.16 0.00 0.00 0.00 0.00 0.00 0.16 0.27 0.29 0.26 0.24 0.28 0.39 0.56 0.77 0.99 1.25 1.53 1.84 2.14 2.37 2.47 2.41 2.22 1.94 1.64 1.36 1.11 0.87 0.65 0.47 0.34 0.29 0.29 0.30 0.26 0.13 0.00 0.00 0.00 0.00 0.00 0.12 0.33 0.45 0.48 0.46 0.45 0.49 0.60 0.79 1.01 1.26 1.51 1.76 1.97 2.12 2.15 2.08 1.91 1.68 1.42 1.17 0.92 0.71 0.54 0.43 0.40 0.44 0.48 0.46 0.36 0.16 0.00 0.00 0.00 0.00 0.00 0.16 0.27 0.29 0.26 0.24 0.28 0.39 0.56 0.77 0.99 1.25 1.53 1.84 5.0 + 7.5 1.80 2.17 2.46 2.60 2.55 2.33 2.01 1.66 1.34 1.07 0.84 0.62 0.43 0.29 0.22 0.22 0.26 0.28 0.22 0.09 0.00 0.00 0.00 0.00 0.12 0.32 0.46 0.49 0.44 0.37 0.35 0.41 0.57 0.81 1.09 1.37 1.63 1.82 1.94 1.96 1.88 1.71 1.48 1.22 0.94 0.67 0.45 0.30 0.26 0.30 0.40 0.48 0.47 0.35 0.16 0.00 0.00 0.00 0.00 0.11 0.22 0.25 0.20 0.12 0.08 0.11 0.22 0.39 0.59 0.82 1.09 1.42 1.80 2.17 2.46 2.60 2.55 2.33 2.01 1.66 1.34 1.07 0.84 0.62 0.43 0.29 0.22 0.22 0.26 0.28 0.22 0.09 0.00 0.00 0.00 0.00 0.12 0.32 0.46 0.49 0.44 0.37 0.35 0.41 0.57 0.81 1.09 1.37 1.63 1.82 1.94 1.96 1.88 1.71 1.48 1.22 0.94 0.67 0.45 0.30 0.26 0.30 0.40 0.48 0.47 0.35 0.16 0.00 0.00 0.00 0.00 0.11 0.22 0.25 0.20 0.12 0.08 0.11 0.22 0.39 0.59 0.82 1.09 1.42 1.80 7.5 + 10.0 1.62 2.05 2.41 2.58 2.55 2.32 1.97 1.60 1.27 1.02 0.81 0.62 0.44 0.28 0.19 0.17 0.23 0.29 0.29 0.19 0.02 0.00 0.00 0.00 0.00 0.20 0.36 0.40 0.33 0.21 0.12 0.12 0.26 0.50 0.80 1.11 1.36 1.54 1.62 1.62 1.54 1.39 1.18 0.92 0.63 0.34 0.11 0.00 0.00 0.12 0.26 0.36 0.33 0.19 0.00 0.00 0.00 0.00 0.00 0.10 0.17 0.13 0.03 0.00 0.00 0.00 0.05 0.20 0.38 0.58 0.84 1.19 1.62 2.05 2.41 2.58 2.55 2.32 1.97 1.60 1.27 1.02 0.81 0.62 0.44 0.28 0.19 0.17 0.23 0.29 0.29 0.19 0.02 0.00 0.00 0.00 0.00 0.20 0.36 0.40 0.33 0.21 0.12 0.12 0.26 0.50 0.80 1.11 1.36 1.54 1.62 1.62 1.54 1.39 1.18 0.92 0.63 0.34 0.11 0.00 0.00 0.12 0.26 0.36 0.33 0.19 0.00 0.00 0.00 0.00 0.00 0.10 0.17 0.13 0.03 0.00 0.00 0.00 0.05 0.20 0.38 0.58 0.84 1.19 1.62 10.0 + 12.5 1.33 1.81 2.21 2.42 2.40 2.17 1.82 1.46 1.16 0.96 0.81 0.68 0.51 0.35 0.22 0.18 0.22 0.30 0.32 0.23 0.03 0.00 0.00 0.00 0.00 0.01 0.20 0.26 0.19 0.02 0.00 0.00 0.00 0.19 0.51 0.82 1.05 1.19 1.24 1.22 1.15 1.04 0.87 0.63 0.33 0.04 0.00 0.00 0.00 0.00 0.09 0.17 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.16 0.30 0.53 0.88 1.33 1.81 2.21 2.42 2.40 2.17 1.82 1.46 1.16 0.96 0.81 0.68 0.51 0.35 0.22 0.18 0.22 0.30 0.32 0.23 0.03 0.00 0.00 0.00 0.00 0.01 0.20 0.26 0.19 0.02 0.00 0.00 0.00 0.19 0.51 0.82 1.05 1.19 1.24 1.22 1.15 1.04 0.87 0.63 0.33 0.04 0.00 0.00 0.00 0.00 0.09 0.17 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.16 0.30 0.53 0.88 1.33 12.5 + 15.0 1.04 1.54 1.96 2.20 2.19 1.97 1.64 1.31 1.07 0.94 0.87 0.79 0.65 0.47 0.30 0.22 0.24 0.31 0.35 0.25 0.03 0.00 0.00 0.00 0.00 0.00 0.11 0.20 0.12 0.00 0.00 0.00 0.00 0.01 0.33 0.64 0.85 0.94 0.95 0.92 0.87 0.80 0.67 0.46 0.18 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.26 0.58 1.04 1.54 1.96 2.20 2.19 1.97 1.64 1.31 1.07 0.94 0.87 0.79 0.65 0.47 0.30 0.22 0.24 0.31 0.35 0.25 0.03 0.00 0.00 0.00 0.00 0.00 0.11 0.20 0.12 0.00 0.00 0.00 0.00 0.01 0.33 0.64 0.85 0.94 0.95 0.92 0.87 0.80 0.67 0.46 0.18 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.26 0.58 1.04 15.0 + 17.5 0.87 1.38 1.82 2.06 2.05 1.84 1.53 1.24 1.06 1.00 0.99 0.95 0.82 0.61 0.41 0.29 0.29 0.37 0.41 0.32 0.08 0.00 0.00 0.00 0.00 0.00 0.20 0.31 0.23 0.02 0.00 0.00 0.00 0.07 0.40 0.68 0.86 0.91 0.89 0.85 0.82 0.78 0.69 0.51 0.24 0.00 0.00 0.00 0.00 0.00 0.13 0.16 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.41 0.87 1.38 1.82 2.06 2.05 1.84 1.53 1.24 1.06 1.00 0.99 0.95 0.82 0.61 0.41 0.29 0.29 0.37 0.41 0.32 0.08 0.00 0.00 0.00 0.00 0.00 0.20 0.31 0.23 0.02 0.00 0.00 0.00 0.07 0.40 0.68 0.86 0.91 0.89 0.85 0.82 0.78 0.69 0.51 0.24 0.00 0.00 0.00 0.00 0.00 0.13 0.16 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.41 0.87 17.5 + 20.0 0.89 1.41 1.85 2.08 2.06 1.84 1.54 1.29 1.16 1.15 1.18 1.14 1.00 0.76 0.52 0.39 0.39 0.47 0.53 0.46 0.24 0.00 0.00 0.00 0.00 0.17 0.46 0.58 0.49 0.27 0.05 0.00 0.07 0.33 0.66 0.93 1.07 1.10 1.06 1.01 0.99 0.98 0.91 0.75 0.50 0.21 0.00 0.00 0.07 0.30 0.48 0.50 0.31 0.00 0.00 0.00 0.00 0.00 0.11 0.25 0.21 0.04 0.00 0.00 0.00 0.00 0.05 0.06 0.02 0.00 0.12 0.42 0.89 1.41 1.85 2.08 2.06 1.84 1.54 1.29 1.16 1.15 1.18 1.14 1.00 0.76 0.52 0.39 0.39 0.47 0.53 0.46 0.24 0.00 0.00 0.00 0.00 0.17 0.46 0.58 0.49 0.27 0.05 0.00 0.07 0.33 0.66 0.93 1.07 1.10 1.06 1.01 0.99 0.98 0.91 0.75 0.50 0.21 0.00 0.00 0.07 0.30 0.48 0.50 0.31 0.00 0.00 0.00 0.00 0.00 0.11 0.25 0.21 0.04 0.00 0.00 0.00 0.00 0.05 0.06 0.02 0.00 0.12 0.42 0.89 20.0 + 22.5 1.07 1.59 2.01 2.22 2.17 1.94 1.66 1.44 1.35 1.37 1.41 1.36 1.18 0.91 0.66 0.52 0.55 0.67 0.75 0.69 0.47 0.18 0.00 0.00 0.17 0.49 0.76 0.86 0.75 0.51 0.29 0.23 0.36 0.63 0.95 1.21 1.33 1.34 1.30 1.25 1.24 1.24 1.19 1.04 0.79 0.51 0.31 0.29 0.44 0.71 0.92 0.95 0.77 0.44 0.14 0.02 0.13 0.38 0.63 0.72 0.62 0.39 0.18 0.08 0.11 0.22 0.30 0.30 0.23 0.19 0.29 0.60 1.07 1.59 2.01 2.22 2.17 1.94 1.66 1.44 1.35 1.37 1.41 1.36 1.18 0.91 0.66 0.52 0.55 0.67 0.75 0.69 0.47 0.18 0.00 0.00 0.17 0.49 0.76 0.86 0.75 0.51 0.29 0.23 0.36 0.63 0.95 1.21 1.33 1.34 1.30 1.25 1.24 1.24 1.19 1.04 0.79 0.51 0.31 0.29 0.44 0.71 0.92 0.95 0.77 0.44 0.14 0.02 0.13 0.38 0.63 0.72 0.62 0.39 0.18 0.08 0.11 0.22 0.30 0.30 0.23 0.19 0.29 0.60 1.07 22.5 + 25.0 1.30 1.81 2.20 2.37 2.29 2.05 1.78 1.60 1.56 1.61 1.65 1.58 1.37 1.09 0.85 0.76 0.83 0.97 1.06 0.98 0.73 0.42 0.20 0.20 0.41 0.71 0.94 0.98 0.83 0.57 0.37 0.33 0.48 0.77 1.08 1.31 1.42 1.42 1.38 1.35 1.35 1.35 1.31 1.16 0.93 0.66 0.49 0.49 0.68 0.97 1.22 1.28 1.12 0.83 0.56 0.48 0.62 0.90 1.14 1.21 1.06 0.78 0.52 0.40 0.43 0.54 0.62 0.60 0.51 0.44 0.53 0.83 1.30 1.81 2.20 2.37 2.29 2.05 1.78 1.60 1.56 1.61 1.65 1.58 1.37 1.09 0.85 0.76 0.83 0.97 1.06 0.98 0.73 0.42 0.20 0.20 0.41 0.71 0.94 0.98 0.83 0.57 0.37 0.33 0.48 0.77 1.08 1.31 1.42 1.42 1.38 1.35 1.35 1.35 1.31 1.16 0.93 0.66 0.49 0.49 0.68 0.97 1.22 1.28 1.12 0.83 0.56 0.48 0.62 0.90 1.14 1.21 1.06 0.78 0.52 0.40 0.43 0.54 0.62 0.60 0.51 0.44 0.53 0.83 1.30 25.0 + 27.5 1.44 1.92 2.27 2.40 2.29 2.04 1.80 1.69 1.71 1.81 1.87 1.80 1.59 1.34 1.16 1.14 1.27 1.43 1.48 1.32 0.98 0.59 0.33 0.30 0.47 0.73 0.89 0.86 0.65 0.38 0.19 0.18 0.36 0.64 0.92 1.12 1.20 1.20 1.16 1.14 1.15 1.17 1.13 0.99 0.77 0.53 0.38 0.40 0.61 0.93 1.20 1.29 1.16 0.90 0.68 0.65 0.85 1.18 1.46 1.55 1.40 1.10 0.82 0.69 0.73 0.85 0.94 0.91 0.79 0.69 0.74 1.01 1.44 1.92 2.27 2.40 2.29 2.04 1.80 1.69 1.71 1.81 1.87 1.80 1.59 1.34 1.16 1.14 1.27 1.43 1.48 1.32 0.98 0.59 0.33 0.30 0.47 0.73 0.89 0.86 0.65 0.38 0.19 0.18 0.36 0.64 0.92 1.12 1.20 1.20 1.16 1.14 1.15 1.17 1.13 0.99 0.77 0.53 0.38 0.40 0.61 0.93 1.20 1.29 1.16 0.90 0.68 0.65 0.85 1.18 1.46 1.55 1.40 1.10 0.82 0.69 0.73 0.85 0.94 0.91 0.79 0.69 0.74 1.01 1.44 27.5 + 30.0 1.45 1.88 2.19 2.26 2.12 1.88 1.69 1.65 1.76 1.94 2.05 2.02 1.86 1.68 1.60 1.70 1.90 2.07 2.04 1.74 1.24 0.72 0.37 0.29 0.42 0.61 0.70 0.59 0.33 0.05 0.00 0.00 0.08 0.34 0.58 0.71 0.75 0.72 0.67 0.66 0.69 0.71 0.68 0.56 0.36 0.14 0.00 0.03 0.25 0.57 0.85 0.95 0.84 0.60 0.43 0.46 0.74 1.16 1.53 1.69 1.58 1.31 1.04 0.92 0.97 1.12 1.22 1.18 1.02 0.87 0.86 1.06 1.45 1.88 2.19 2.26 2.12 1.88 1.69 1.65 1.76 1.94 2.05 2.02 1.86 1.68 1.60 1.70 1.90 2.07 2.04 1.74 1.24 0.72 0.37 0.29 0.42 0.61 0.70 0.59 0.33 0.05 0.00 0.00 0.08 0.34 0.58 0.71 0.75 0.72 0.67 0.66 0.69 0.71 0.68 0.56 0.36 0.14 0.00 0.03 0.25 0.57 0.85 0.95 0.84 0.60 0.43 0.46 0.74 1.16 1.53 1.69 1.58 1.31 1.04 0.92 0.97 1.12 1.22 1.18 1.02 0.87 0.86 1.06 1.45 30.0 + 32.5 1.36 1.74 2.00 2.03 1.86 1.62 1.47 1.50 1.71 1.98 2.17 2.21 2.15 2.09 2.17 2.41 2.70 2.86 2.73 2.26 1.57 0.90 0.45 0.30 0.39 0.54 0.56 0.39 0.08 0.00 0.00 0.00 0.00 0.11 0.27 0.33 0.29 0.20 0.14 0.13 0.16 0.20 0.19 0.08 0.00 0.00 0.00 0.00 0.00 0.08 0.35 0.44 0.32 0.10 0.00 0.04 0.41 0.95 1.44 1.71 1.68 1.45 1.20 1.09 1.17 1.33 1.43 1.37 1.17 0.95 0.87 1.02 1.36 1.74 2.00 2.03 1.86 1.62 1.47 1.50 1.71 1.98 2.17 2.21 2.15 2.09 2.17 2.41 2.70 2.86 2.73 2.26 1.57 0.90 0.45 0.30 0.39 0.54 0.56 0.39 0.08 0.00 0.00 0.00 0.00 0.11 0.27 0.33 0.29 0.20 0.14 0.13 0.16 0.20 0.19 0.08 0.00 0.00 0.00 0.00 0.00 0.08 0.35 0.44 0.32 0.10 0.00 0.04 0.41 0.95 1.44 1.71 1.68 1.45 1.20 1.09 1.17 1.33 1.43 1.37 1.17 0.95 0.87 1.02 1.36 32.5 + 35.0 1.26 1.62 1.84 1.83 1.63 1.37 1.23 1.31 1.59 1.94 2.22 2.36 2.41 2.51 2.77 3.17 3.56 3.72 3.48 2.85 1.99 1.18 0.65 0.47 0.55 0.67 0.65 0.43 0.10 0.00 0.00 0.00 0.00 0.15 0.24 0.20 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.00 0.00 0.00 0.00 0.13 0.78 1.41 1.78 1.83 1.63 1.39 1.27 1.33 1.48 1.56 1.47 1.23 0.96 0.83 0.95 1.26 1.62 1.84 1.83 1.63 1.37 1.23 1.31 1.59 1.94 2.22 2.36 2.41 2.51 2.77 3.17 3.56 3.72 3.48 2.85 1.99 1.18 0.65 0.47 0.55 0.67 0.65 0.43 0.10 0.00 0.00 0.00 0.00 0.15 0.24 0.20 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.00 0.00 0.00 0.00 0.13 0.78 1.41 1.78 1.83 1.63 1.39 1.27 1.33 1.48 1.56 1.47 1.23 0.96 0.83 0.95 1.26 35.0 + 37.5 1.25 1.61 1.82 1.77 1.51 1.21 1.05 1.15 1.46 1.86 2.20 2.43 2.60 2.85 3.27 3.82 4.30 4.47 4.16 3.40 2.42 1.53 0.97 0.80 0.90 1.02 0.98 0.74 0.40 0.13 0.04 0.15 0.36 0.52 0.56 0.44 0.23 0.02 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.89 1.63 2.09 2.18 1.98 1.69 1.51 1.51 1.61 1.65 1.52 1.24 0.95 0.81 0.92 1.25 1.61 1.82 1.77 1.51 1.21 1.05 1.15 1.46 1.86 2.20 2.43 2.60 2.85 3.27 3.82 4.30 4.47 4.16 3.40 2.42 1.53 0.97 0.80 0.90 1.02 0.98 0.74 0.40 0.13 0.04 0.15 0.36 0.52 0.56 0.44 0.23 0.02 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.89 1.63 2.09 2.18 1.98 1.69 1.51 1.51 1.61 1.65 1.52 1.24 0.95 0.81 0.92 1.25 37.5 + 40.0 1.34 1.72 1.93 1.85 1.54 1.18 0.98 1.05 1.36 1.77 2.14 2.41 2.65 3.01 3.55 4.20 4.74 4.91 4.56 3.73 2.70 1.79 1.25 1.14 1.28 1.43 1.39 1.15 0.81 0.56 0.52 0.66 0.89 1.05 1.06 0.90 0.64 0.40 0.25 0.22 0.30 0.41 0.46 0.39 0.19 0.00 0.00 0.00 0.00 0.07 0.30 0.33 0.14 0.00 0.00 0.00 0.51 1.35 2.17 2.68 2.77 2.51 2.13 1.85 1.74 1.75 1.72 1.55 1.25 0.95 0.83 0.98 1.34 1.72 1.93 1.85 1.54 1.18 0.98 1.05 1.36 1.77 2.14 2.41 2.65 3.01 3.55 4.20 4.74 4.91 4.56 3.73 2.70 1.79 1.25 1.14 1.28 1.43 1.39 1.15 0.81 0.56 0.52 0.66 0.89 1.05 1.06 0.90 0.64 0.40 0.25 0.22 0.30 0.41 0.46 0.39 0.19 0.00 0.00 0.00 0.00 0.07 0.30 0.33 0.14 0.00 0.00 0.00 0.51 1.35 2.17 2.68 2.77 2.51 2.13 1.85 1.74 1.75 1.72 1.55 1.25 0.95 0.83 0.98 1.34 40.0 + 42.5 1.49 1.90 2.11 2.00 1.65 1.24 0.99 1.02 1.31 1.70 2.05 2.31 2.57 2.95 3.52 4.21 4.76 4.92 4.54 3.69 2.66 1.79 1.31 1.26 1.45 1.64 1.62 1.39 1.07 0.84 0.83 1.01 1.26 1.45 1.46 1.31 1.05 0.81 0.68 0.68 0.80 0.96 1.05 1.00 0.79 0.51 0.28 0.21 0.36 0.63 0.86 0.90 0.70 0.42 0.28 0.52 1.17 2.08 2.95 3.47 3.52 3.18 2.69 2.27 2.03 1.93 1.83 1.61 1.28 0.99 0.90 1.09 1.49 1.90 2.11 2.00 1.65 1.24 0.99 1.02 1.31 1.70 2.05 2.31 2.57 2.95 3.52 4.21 4.76 4.92 4.54 3.69 2.66 1.79 1.31 1.26 1.45 1.64 1.62 1.39 1.07 0.84 0.83 1.01 1.26 1.45 1.46 1.31 1.05 0.81 0.68 0.68 0.80 0.96 1.05 1.00 0.79 0.51 0.28 0.21 0.36 0.63 0.86 0.90 0.70 0.42 0.28 0.52 1.17 2.08 2.95 3.47 3.52 3.18 2.69 2.27 2.03 1.93 1.83 1.61 1.28 0.99 0.90 1.09 1.49 42.5 + 45.0 1.62 2.04 2.24 2.11 1.73 1.30 1.03 1.04 1.29 1.65 1.96 2.17 2.37 2.70 3.21 3.84 4.34 4.47 4.07 3.24 2.25 1.44 1.03 1.04 1.27 1.48 1.48 1.27 0.97 0.76 0.77 0.97 1.25 1.47 1.52 1.40 1.19 1.00 0.91 0.96 1.12 1.33 1.46 1.45 1.26 0.98 0.75 0.68 0.84 1.13 1.38 1.43 1.25 1.00 0.90 1.19 1.91 2.87 3.77 4.28 4.29 3.86 3.26 2.72 2.37 2.17 1.99 1.71 1.36 1.07 0.99 1.20 1.62 2.04 2.24 2.11 1.73 1.30 1.03 1.04 1.29 1.65 1.96 2.17 2.37 2.70 3.21 3.84 4.34 4.47 4.07 3.24 2.25 1.44 1.03 1.04 1.27 1.48 1.48 1.27 0.97 0.76 0.77 0.97 1.25 1.47 1.52 1.40 1.19 1.00 0.91 0.96 1.12 1.33 1.46 1.45 1.26 0.98 0.75 0.68 0.84 1.13 1.38 1.43 1.25 1.00 0.90 1.19 1.91 2.87 3.77 4.28 4.29 3.86 3.26 2.72 2.37 2.17 1.99 1.71 1.36 1.07 0.99 1.20 1.62 45.0 + 47.5 1.69 2.08 2.25 2.12 1.73 1.30 1.04 1.06 1.31 1.63 1.89 2.02 2.12 2.33 2.72 3.22 3.63 3.70 3.30 2.50 1.58 0.84 0.50 0.54 0.80 1.01 1.02 0.82 0.54 0.35 0.36 0.57 0.85 1.08 1.17 1.12 0.97 0.84 0.80 0.90 1.10 1.35 1.52 1.54 1.39 1.13 0.92 0.88 1.05 1.36 1.63 1.71 1.58 1.37 1.35 1.72 2.50 3.51 4.41 4.91 4.87 4.40 3.74 3.14 2.72 2.45 2.21 1.89 1.51 1.19 1.10 1.29 1.69 2.08 2.25 2.12 1.73 1.30 1.04 1.06 1.31 1.63 1.89 2.02 2.12 2.33 2.72 3.22 3.63 3.70 3.30 2.50 1.58 0.84 0.50 0.54 0.80 1.01 1.02 0.82 0.54 0.35 0.36 0.57 0.85 1.08 1.17 1.12 0.97 0.84 0.80 0.90 1.10 1.35 1.52 1.54 1.39 1.13 0.92 0.88 1.05 1.36 1.63 1.71 1.58 1.37 1.35 1.72 2.50 3.51 4.41 4.91 4.87 4.40 3.74 3.14 2.72 2.45 2.21 1.89 1.51 1.19 1.10 1.29 1.69 47.5 + 50.0 1.69 2.03 2.16 2.02 1.65 1.25 1.03 1.07 1.33 1.63 1.84 1.89 1.87 1.94 2.17 2.54 2.84 2.86 2.47 1.74 0.91 0.25 0.00 0.02 0.26 0.47 0.48 0.29 0.02 0.00 0.00 0.00 0.26 0.49 0.61 0.60 0.52 0.45 0.45 0.57 0.80 1.05 1.24 1.29 1.16 0.94 0.76 0.76 0.96 1.29 1.58 1.69 1.61 1.48 1.54 1.99 2.82 3.84 4.74 5.21 5.15 4.67 4.02 3.43 3.01 2.73 2.46 2.11 1.70 1.35 1.22 1.36 1.69 2.03 2.16 2.02 1.65 1.25 1.03 1.07 1.33 1.63 1.84 1.89 1.87 1.94 2.17 2.54 2.84 2.86 2.47 1.74 0.91 0.25 0.00 0.02 0.26 0.47 0.48 0.29 0.02 0.00 0.00 0.00 0.26 0.49 0.61 0.60 0.52 0.45 0.45 0.57 0.80 1.05 1.24 1.29 1.16 0.94 0.76 0.76 0.96 1.29 1.58 1.69 1.61 1.48 1.54 1.99 2.82 3.84 4.74 5.21 5.15 4.67 4.02 3.43 3.01 2.73 2.46 2.11 1.70 1.35 1.22 1.36 1.69 50.0 + 52.5 1.69 1.95 2.04 1.88 1.53 1.17 0.98 1.05 1.31 1.61 1.77 1.76 1.66 1.61 1.72 1.97 2.20 2.21 1.86 1.23 0.50 0.00 0.00 0.00 0.00 0.16 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.13 0.16 0.11 0.07 0.10 0.22 0.42 0.66 0.83 0.86 0.75 0.56 0.43 0.46 0.69 1.03 1.33 1.47 1.43 1.38 1.52 2.02 2.87 3.86 4.70 5.12 5.06 4.62 4.03 3.52 3.17 2.93 2.68 2.33 1.90 1.53 1.35 1.43 1.69 1.95 2.04 1.88 1.53 1.17 0.98 1.05 1.31 1.61 1.77 1.76 1.66 1.61 1.72 1.97 2.20 2.21 1.86 1.23 0.50 0.00 0.00 0.00 0.00 0.16 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.13 0.16 0.11 0.07 0.10 0.22 0.42 0.66 0.83 0.86 0.75 0.56 0.43 0.46 0.69 1.03 1.33 1.47 1.43 1.38 1.52 2.02 2.87 3.86 4.70 5.12 5.06 4.62 4.03 3.52 3.17 2.93 2.68 2.33 1.90 1.53 1.35 1.43 1.69 52.5 + 55.0 1.72 1.91 1.94 1.75 1.40 1.07 0.90 0.98 1.23 1.51 1.66 1.62 1.48 1.37 1.42 1.62 1.83 1.86 1.60 1.08 0.47 0.00 0.00 0.00 0.08 0.23 0.21 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.08 0.24 0.41 0.52 0.52 0.39 0.23 0.13 0.20 0.45 0.79 1.07 1.21 1.20 1.19 1.38 1.89 2.70 3.60 4.33 4.68 4.61 4.23 3.77 3.40 3.17 3.01 2.81 2.48 2.07 1.70 1.50 1.53 1.72 1.91 1.94 1.75 1.40 1.07 0.90 0.98 1.23 1.51 1.66 1.62 1.48 1.37 1.42 1.62 1.83 1.86 1.60 1.08 0.47 0.00 0.00 0.00 0.08 0.23 0.21 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.08 0.24 0.41 0.52 0.52 0.39 0.23 0.13 0.20 0.45 0.79 1.07 1.21 1.20 1.19 1.38 1.89 2.70 3.60 4.33 4.68 4.61 4.23 3.77 3.40 3.17 3.01 2.81 2.48 2.07 1.70 1.50 1.53 1.72 55.0 + 57.5 1.77 1.89 1.87 1.64 1.28 0.94 0.76 0.82 1.05 1.31 1.45 1.42 1.29 1.19 1.24 1.45 1.68 1.77 1.61 1.21 0.73 0.35 0.21 0.30 0.49 0.62 0.58 0.36 0.07 0.00 0.00 0.00 0.00 0.11 0.20 0.23 0.22 0.19 0.20 0.26 0.36 0.45 0.48 0.40 0.25 0.09 0.02 0.11 0.36 0.68 0.92 1.03 1.01 1.02 1.21 1.68 2.38 3.13 3.72 3.97 3.89 3.60 3.28 3.07 2.99 2.93 2.80 2.53 2.17 1.83 1.63 1.63 1.77 1.89 1.87 1.64 1.28 0.94 0.76 0.82 1.05 1.31 1.45 1.42 1.29 1.19 1.24 1.45 1.68 1.77 1.61 1.21 0.73 0.35 0.21 0.30 0.49 0.62 0.58 0.36 0.07 0.00 0.00 0.00 0.00 0.11 0.20 0.23 0.22 0.19 0.20 0.26 0.36 0.45 0.48 0.40 0.25 0.09 0.02 0.11 0.36 0.68 0.92 1.03 1.01 1.02 1.21 1.68 2.38 3.13 3.72 3.97 3.89 3.60 3.28 3.07 2.99 2.93 2.80 2.53 2.17 1.83 1.63 1.63 1.77 57.5 + 60.0 1.79 1.85 1.77 1.50 1.12 0.75 0.55 0.57 0.76 0.99 1.13 1.12 1.04 1.00 1.10 1.34 1.62 1.77 1.69 1.40 1.02 0.73 0.65 0.77 0.96 1.08 1.02 0.79 0.50 0.27 0.19 0.25 0.39 0.54 0.64 0.67 0.66 0.65 0.66 0.69 0.74 0.74 0.67 0.52 0.32 0.15 0.09 0.20 0.44 0.71 0.89 0.93 0.88 0.86 1.02 1.41 1.98 2.56 2.98 3.12 3.03 2.83 2.67 2.62 2.67 2.72 2.67 2.46 2.16 1.87 1.71 1.70 1.79 1.85 1.77 1.50 1.12 0.75 0.55 0.57 0.76 0.99 1.13 1.12 1.04 1.00 1.10 1.34 1.62 1.77 1.69 1.40 1.02 0.73 0.65 0.77 0.96 1.08 1.02 0.79 0.50 0.27 0.19 0.25 0.39 0.54 0.64 0.67 0.66 0.65 0.66 0.69 0.74 0.74 0.67 0.52 0.32 0.15 0.09 0.20 0.44 0.71 0.89 0.93 0.88 0.86 1.02 1.41 1.98 2.56 2.98 3.12 3.03 2.83 2.67 2.62 2.67 2.72 2.67 2.46 2.16 1.87 1.71 1.70 1.79 60.0 + 62.5 1.75 1.75 1.60 1.29 0.88 0.50 0.27 0.25 0.40 0.59 0.73 0.76 0.73 0.74 0.90 1.18 1.48 1.67 1.63 1.40 1.09 0.88 0.85 1.01 1.21 1.33 1.27 1.04 0.77 0.57 0.51 0.60 0.77 0.93 1.04 1.09 1.10 1.10 1.13 1.16 1.16 1.09 0.94 0.71 0.47 0.29 0.26 0.38 0.59 0.79 0.89 0.86 0.75 0.70 0.82 1.13 1.57 1.98 2.25 2.31 2.22 2.10 2.07 2.17 2.33 2.45 2.45 2.30 2.06 1.83 1.71 1.70 1.75 1.75 1.60 1.29 0.88 0.50 0.27 0.25 0.40 0.59 0.73 0.76 0.73 0.74 0.90 1.18 1.48 1.67 1.63 1.40 1.09 0.88 0.85 1.01 1.21 1.33 1.27 1.04 0.77 0.57 0.51 0.60 0.77 0.93 1.04 1.09 1.10 1.10 1.13 1.16 1.16 1.09 0.94 0.71 0.47 0.29 0.26 0.38 0.59 0.79 0.89 0.86 0.75 0.70 0.82 1.13 1.57 1.98 2.25 2.31 2.22 2.10 2.07 2.17 2.33 2.45 2.45 2.30 2.06 1.83 1.71 1.70 1.75 62.5 + 65.0 1.65 1.58 1.36 1.01 0.59 0.21 0.00 0.00 0.05 0.22 0.34 0.38 0.38 0.45 0.63 0.92 1.21 1.37 1.33 1.12 0.86 0.69 0.72 0.91 1.14 1.26 1.21 1.01 0.77 0.61 0.60 0.73 0.92 1.11 1.23 1.30 1.34 1.38 1.43 1.47 1.44 1.32 1.10 0.82 0.56 0.40 0.39 0.52 0.71 0.85 0.87 0.77 0.62 0.55 0.64 0.89 1.23 1.53 1.68 1.68 1.60 1.56 1.64 1.82 2.05 2.21 2.23 2.12 1.94 1.76 1.67 1.65 1.65 1.58 1.36 1.01 0.59 0.21 0.00 0.00 0.05 0.22 0.34 0.38 0.38 0.45 0.63 0.92 1.21 1.37 1.33 1.12 0.86 0.69 0.72 0.91 1.14 1.26 1.21 1.01 0.77 0.61 0.60 0.73 0.92 1.11 1.23 1.30 1.34 1.38 1.43 1.47 1.44 1.32 1.10 0.82 0.56 0.40 0.39 0.52 0.71 0.85 0.87 0.77 0.62 0.55 0.64 0.89 1.23 1.53 1.68 1.68 1.60 1.56 1.64 1.82 2.05 2.21 2.23 2.12 1.94 1.76 1.67 1.65 1.65 65.0 + 67.5 1.57 1.42 1.14 0.76 0.34 0.00 0.00 0.00 0.00 0.00 0.05 0.08 0.10 0.18 0.36 0.62 0.86 0.97 0.89 0.67 0.43 0.32 0.39 0.61 0.85 0.99 0.95 0.78 0.58 0.47 0.51 0.67 0.88 1.07 1.21 1.29 1.36 1.44 1.53 1.57 1.53 1.37 1.10 0.80 0.55 0.42 0.45 0.60 0.77 0.87 0.83 0.69 0.53 0.46 0.56 0.79 1.08 1.30 1.39 1.36 1.30 1.31 1.45 1.68 1.92 2.08 2.11 2.02 1.88 1.75 1.68 1.64 1.57 1.42 1.14 0.76 0.34 0.00 0.00 0.00 0.00 0.00 0.05 0.08 0.10 0.18 0.36 0.62 0.86 0.97 0.89 0.67 0.43 0.32 0.39 0.61 0.85 0.99 0.95 0.78 0.58 0.47 0.51 0.67 0.88 1.07 1.21 1.29 1.36 1.44 1.53 1.57 1.53 1.37 1.10 0.80 0.55 0.42 0.45 0.60 0.77 0.87 0.83 0.69 0.53 0.46 0.56 0.79 1.08 1.30 1.39 1.36 1.30 1.31 1.45 1.68 1.92 2.08 2.11 2.02 1.88 1.75 1.68 1.64 1.57 67.5 + 70.0 1.61 1.38 1.04 0.64 0.24 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.21 0.42 0.60 0.64 0.52 0.30 0.09 0.01 0.12 0.35 0.60 0.73 0.69 0.55 0.39 0.32 0.39 0.56 0.77 0.96 1.09 1.19 1.29 1.41 1.51 1.56 1.50 1.31 1.03 0.73 0.50 0.43 0.51 0.68 0.86 0.93 0.87 0.72 0.57 0.54 0.66 0.90 1.17 1.35 1.41 1.37 1.33 1.36 1.51 1.74 1.95 2.09 2.11 2.04 1.95 1.87 1.81 1.74 1.61 1.38 1.04 0.64 0.24 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.21 0.42 0.60 0.64 0.52 0.30 0.09 0.01 0.12 0.35 0.60 0.73 0.69 0.55 0.39 0.32 0.39 0.56 0.77 0.96 1.09 1.19 1.29 1.41 1.51 1.56 1.50 1.31 1.03 0.73 0.50 0.43 0.51 0.68 0.86 0.93 0.87 0.72 0.57 0.54 0.66 0.90 1.17 1.35 1.41 1.37 1.33 1.36 1.51 1.74 1.95 2.09 2.11 2.04 1.95 1.87 1.81 1.74 1.61 70.0 + 72.5 1.83 1.53 1.14 0.72 0.35 0.07 0.00 0.00 0.00 0.00 0.02 0.03 0.05 0.13 0.27 0.44 0.55 0.54 0.40 0.19 0.03 0.00 0.13 0.36 0.57 0.66 0.61 0.48 0.34 0.31 0.39 0.55 0.74 0.91 1.04 1.16 1.30 1.44 1.57 1.61 1.53 1.32 1.03 0.75 0.57 0.54 0.66 0.86 1.04 1.11 1.06 0.92 0.81 0.81 0.95 1.20 1.45 1.61 1.65 1.61 1.57 1.60 1.73 1.91 2.08 2.19 2.21 2.19 2.15 2.13 2.10 2.01 1.83 1.53 1.14 0.72 0.35 0.07 0.00 0.00 0.00 0.00 0.02 0.03 0.05 0.13 0.27 0.44 0.55 0.54 0.40 0.19 0.03 0.00 0.13 0.36 0.57 0.66 0.61 0.48 0.34 0.31 0.39 0.55 0.74 0.91 1.04 1.16 1.30 1.44 1.57 1.61 1.53 1.32 1.03 0.75 0.57 0.54 0.66 0.86 1.04 1.11 1.06 0.92 0.81 0.81 0.95 1.20 1.45 1.61 1.65 1.61 1.57 1.60 1.73 1.91 2.08 2.19 2.21 2.19 2.15 2.13 2.10 2.01 1.83 72.5 + 75.0 2.17 1.83 1.42 0.99 0.62 0.37 0.23 0.18 0.19 0.21 0.23 0.25 0.30 0.39 0.53 0.65 0.72 0.68 0.56 0.40 0.30 0.31 0.44 0.63 0.77 0.80 0.71 0.57 0.46 0.43 0.51 0.66 0.84 1.00 1.15 1.31 1.49 1.66 1.79 1.82 1.71 1.49 1.21 0.96 0.81 0.82 0.95 1.15 1.32 1.39 1.35 1.25 1.16 1.17 1.31 1.53 1.76 1.90 1.94 1.89 1.85 1.86 1.94 2.07 2.19 2.28 2.33 2.36 2.40 2.45 2.46 2.38 2.17 1.83 1.42 0.99 0.62 0.37 0.23 0.18 0.19 0.21 0.23 0.25 0.30 0.39 0.53 0.65 0.72 0.68 0.56 0.40 0.30 0.31 0.44 0.63 0.77 0.80 0.71 0.57 0.46 0.43 0.51 0.66 0.84 1.00 1.15 1.31 1.49 1.66 1.79 1.82 1.71 1.49 1.21 0.96 0.81 0.82 0.95 1.15 1.32 1.39 1.35 1.25 1.16 1.17 1.31 1.53 1.76 1.90 1.94 1.89 1.85 1.86 1.94 2.07 2.19 2.28 2.33 2.36 2.40 2.45 2.46 2.38 2.17 75.0 + 77.5 2.49 2.15 1.73 1.31 0.95 0.69 0.54 0.46 0.43 0.43 0.46 0.51 0.60 0.72 0.85 0.95 0.98 0.93 0.84 0.74 0.70 0.75 0.87 0.98 1.03 0.98 0.85 0.70 0.60 0.59 0.68 0.82 1.00 1.18 1.38 1.60 1.83 2.03 2.15 2.15 2.02 1.79 1.52 1.30 1.17 1.18 1.29 1.45 1.59 1.65 1.62 1.53 1.45 1.44 1.54 1.70 1.88 2.00 2.04 2.01 1.96 1.95 1.99 2.06 2.16 2.25 2.34 2.45 2.58 2.70 2.76 2.70 2.49 2.15 1.73 1.31 0.95 0.69 0.54 0.46 0.43 0.43 0.46 0.51 0.60 0.72 0.85 0.95 0.98 0.93 0.84 0.74 0.70 0.75 0.87 0.98 1.03 0.98 0.85 0.70 0.60 0.59 0.68 0.82 1.00 1.18 1.38 1.60 1.83 2.03 2.15 2.15 2.02 1.79 1.52 1.30 1.17 1.18 1.29 1.45 1.59 1.65 1.62 1.53 1.45 1.44 1.54 1.70 1.88 2.00 2.04 2.01 1.96 1.95 1.99 2.06 2.16 2.25 2.34 2.45 2.58 2.70 2.76 2.70 2.49 77.5 + 80.0 2.65 2.33 1.93 1.53 1.19 0.92 0.74 0.62 0.56 0.55 0.59 0.68 0.82 0.96 1.07 1.12 1.12 1.06 1.00 0.96 0.98 1.05 1.13 1.16 1.12 1.00 0.84 0.71 0.64 0.65 0.75 0.91 1.12 1.35 1.63 1.92 2.20 2.41 2.51 2.47 2.31 2.07 1.82 1.60 1.47 1.44 1.48 1.57 1.65 1.69 1.66 1.58 1.49 1.43 1.45 1.55 1.67 1.79 1.84 1.85 1.81 1.79 1.79 1.84 1.92 2.03 2.17 2.36 2.56 2.75 2.86 2.83 2.65 2.33 1.93 1.53 1.19 0.92 0.74 0.62 0.56 0.55 0.59 0.68 0.82 0.96 1.07 1.12 1.12 1.06 1.00 0.96 0.98 1.05 1.13 1.16 1.12 1.00 0.84 0.71 0.64 0.65 0.75 0.91 1.12 1.35 1.63 1.92 2.20 2.41 2.51 2.47 2.31 2.07 1.82 1.60 1.47 1.44 1.48 1.57 1.65 1.69 1.66 1.58 1.49 1.43 1.45 1.55 1.67 1.79 1.84 1.85 1.81 1.79 1.79 1.84 1.92 2.03 2.17 2.36 2.56 2.75 2.86 2.83 2.65 80.0 + 82.5 2.57 2.30 1.96 1.60 1.27 1.00 0.78 0.63 0.53 0.51 0.58 0.70 0.86 0.99 1.05 1.05 0.98 0.91 0.87 0.89 0.95 1.02 1.06 1.03 0.92 0.77 0.63 0.53 0.52 0.58 0.71 0.91 1.16 1.46 1.81 2.16 2.47 2.66 2.71 2.62 2.41 2.16 1.91 1.69 1.53 1.44 1.39 1.40 1.42 1.44 1.40 1.32 1.20 1.09 1.03 1.06 1.16 1.28 1.38 1.43 1.43 1.41 1.40 1.42 1.50 1.63 1.83 2.07 2.33 2.56 2.70 2.71 2.57 2.30 1.96 1.60 1.27 1.00 0.78 0.63 0.53 0.51 0.58 0.70 0.86 0.99 1.05 1.05 0.98 0.91 0.87 0.89 0.95 1.02 1.06 1.03 0.92 0.77 0.63 0.53 0.52 0.58 0.71 0.91 1.16 1.46 1.81 2.16 2.47 2.66 2.71 2.62 2.41 2.16 1.91 1.69 1.53 1.44 1.39 1.40 1.42 1.44 1.40 1.32 1.20 1.09 1.03 1.06 1.16 1.28 1.38 1.43 1.43 1.41 1.40 1.42 1.50 1.63 1.83 2.07 2.33 2.56 2.70 2.71 2.57 82.5 + 85.0 2.31 2.11 1.84 1.53 1.23 0.95 0.71 0.52 0.41 0.38 0.45 0.59 0.73 0.82 0.81 0.73 0.60 0.50 0.48 0.53 0.63 0.71 0.73 0.66 0.53 0.40 0.31 0.29 0.35 0.47 0.64 0.87 1.17 1.53 1.93 2.31 2.59 2.72 2.69 2.51 2.25 1.98 1.72 1.49 1.30 1.14 1.03 0.96 0.95 0.95 0.92 0.84 0.70 0.55 0.44 0.43 0.52 0.67 0.83 0.93 0.97 0.95 0.92 0.93 1.00 1.16 1.38 1.65 1.94 2.19 2.35 2.40 2.31 2.11 1.84 1.53 1.23 0.95 0.71 0.52 0.41 0.38 0.45 0.59 0.73 0.82 0.81 0.73 0.60 0.50 0.48 0.53 0.63 0.71 0.73 0.66 0.53 0.40 0.31 0.29 0.35 0.47 0.64 0.87 1.17 1.53 1.93 2.31 2.59 2.72 2.69 2.51 2.25 1.98 1.72 1.49 1.30 1.14 1.03 0.96 0.95 0.95 0.92 0.84 0.70 0.55 0.44 0.43 0.52 0.67 0.83 0.93 0.97 0.95 0.92 0.93 1.00 1.16 1.38 1.65 1.94 2.19 2.35 2.40 2.31 85.0 + 87.5 2.05 1.92 1.72 1.46 1.19 0.91 0.65 0.43 0.30 0.26 0.32 0.44 0.54 0.57 0.50 0.33 0.16 0.04 0.03 0.12 0.25 0.35 0.36 0.30 0.19 0.11 0.10 0.17 0.30 0.47 0.69 0.95 1.27 1.65 2.05 2.40 2.60 2.63 2.49 2.22 1.90 1.60 1.33 1.10 0.88 0.69 0.54 0.45 0.43 0.45 0.45 0.39 0.25 0.08 0.00 0.00 0.04 0.23 0.42 0.56 0.60 0.57 0.52 0.51 0.58 0.74 0.97 1.25 1.54 1.79 1.98 2.07 2.05 1.92 1.72 1.46 1.19 0.91 0.65 0.43 0.30 0.26 0.32 0.44 0.54 0.57 0.50 0.33 0.16 0.04 0.03 0.12 0.25 0.35 0.36 0.30 0.19 0.11 0.10 0.17 0.30 0.47 0.69 0.95 1.27 1.65 2.05 2.40 2.60 2.63 2.49 2.22 1.90 1.60 1.33 1.10 0.88 0.69 0.54 0.45 0.43 0.45 0.45 0.39 0.25 0.08 0.00 0.00 0.04 0.23 0.42 0.56 0.60 0.57 0.52 0.51 0.58 0.74 0.97 1.25 1.54 1.79 1.98 2.07 2.05 87.5 + 90.0 1.93 1.88 1.75 1.53 1.27 0.99 0.72 0.49 0.33 0.28 0.32 0.40 0.46 0.44 0.31 0.11 0.00 0.00 0.00 0.00 0.08 0.19 0.23 0.20 0.14 0.12 0.17 0.31 0.49 0.70 0.93 1.20 1.53 1.89 2.24 2.50 2.60 2.50 2.24 1.89 1.53 1.20 0.93 0.70 0.49 0.31 0.17 0.12 0.14 0.20 0.23 0.19 0.08 0.00 0.00 0.00 0.00 0.11 0.31 0.44 0.46 0.40 0.32 0.28 0.33 0.49 0.72 0.99 1.27 1.53 1.75 1.88 1.93 1.88 1.75 1.53 1.27 0.99 0.72 0.49 0.33 0.28 0.32 0.40 0.46 0.44 0.31 0.11 0.00 0.00 0.00 0.00 0.08 0.19 0.23 0.20 0.14 0.12 0.17 0.31 0.49 0.70 0.93 1.20 1.53 1.89 2.24 2.50 2.60 2.50 2.24 1.89 1.53 1.20 0.93 0.70 0.49 0.31 0.17 0.12 0.14 0.20 0.23 0.19 0.08 0.00 0.00 0.00 0.00 0.11 0.31 0.44 0.46 0.40 0.32 0.28 0.33 0.49 0.72 0.99 1.27 1.53 1.75 1.88 1.93 90.0 + + 85.0 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 4.56 ) PHI2 = 85. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 0.0 + 2.5 2.06 2.24 2.31 2.25 2.07 1.84 1.58 1.34 1.11 0.89 0.69 0.51 0.40 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.26 0.38 0.41 0.41 0.44 0.53 0.68 0.88 1.09 1.32 1.55 1.79 2.01 2.17 2.22 2.16 2.00 1.77 1.53 1.30 1.08 0.86 0.67 0.52 0.43 0.41 0.41 0.38 0.27 0.07 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.39 0.50 0.67 0.88 1.09 1.32 1.56 1.82 2.06 2.24 2.31 2.25 2.07 1.84 1.58 1.34 1.11 0.89 0.69 0.51 0.40 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.26 0.38 0.41 0.41 0.44 0.53 0.68 0.88 1.09 1.32 1.55 1.79 2.01 2.17 2.22 2.16 2.00 1.77 1.53 1.30 1.08 0.86 0.67 0.52 0.43 0.41 0.41 0.38 0.27 0.07 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.39 0.50 0.67 0.88 1.09 1.32 1.56 1.82 2.06 2.5 + 5.0 2.16 2.38 2.47 2.41 2.21 1.92 1.62 1.34 1.09 0.85 0.64 0.45 0.33 0.27 0.28 0.29 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.13 0.33 0.45 0.48 0.45 0.44 0.48 0.59 0.77 0.99 1.24 1.50 1.75 1.96 2.10 2.15 2.08 1.92 1.69 1.44 1.18 0.93 0.72 0.54 0.44 0.41 0.44 0.48 0.46 0.35 0.15 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.29 0.26 0.24 0.28 0.40 0.57 0.78 1.01 1.26 1.55 1.86 2.16 2.38 2.47 2.41 2.21 1.92 1.62 1.34 1.09 0.85 0.64 0.45 0.33 0.27 0.28 0.29 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.13 0.33 0.45 0.48 0.45 0.44 0.48 0.59 0.77 0.99 1.24 1.50 1.75 1.96 2.10 2.15 2.08 1.92 1.69 1.44 1.18 0.93 0.72 0.54 0.44 0.41 0.44 0.48 0.46 0.35 0.15 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.29 0.26 0.24 0.28 0.40 0.57 0.78 1.01 1.26 1.55 1.86 2.16 5.0 + 7.5 2.19 2.47 2.60 2.53 2.30 1.97 1.61 1.29 1.02 0.79 0.57 0.39 0.24 0.18 0.18 0.23 0.26 0.21 0.08 0.00 0.00 0.00 0.00 0.11 0.31 0.45 0.48 0.43 0.35 0.32 0.38 0.54 0.77 1.05 1.33 1.59 1.79 1.92 1.94 1.87 1.72 1.49 1.23 0.95 0.68 0.45 0.31 0.26 0.30 0.40 0.47 0.46 0.34 0.14 0.00 0.00 0.00 0.00 0.09 0.20 0.23 0.19 0.12 0.08 0.13 0.25 0.42 0.62 0.85 1.12 1.45 1.83 2.19 2.47 2.60 2.53 2.30 1.97 1.61 1.29 1.02 0.79 0.57 0.39 0.24 0.18 0.18 0.23 0.26 0.21 0.08 0.00 0.00 0.00 0.00 0.11 0.31 0.45 0.48 0.43 0.35 0.32 0.38 0.54 0.77 1.05 1.33 1.59 1.79 1.92 1.94 1.87 1.72 1.49 1.23 0.95 0.68 0.45 0.31 0.26 0.30 0.40 0.47 0.46 0.34 0.14 0.00 0.00 0.00 0.00 0.09 0.20 0.23 0.19 0.12 0.08 0.13 0.25 0.42 0.62 0.85 1.12 1.45 1.83 2.19 7.5 + 10.0 2.09 2.42 2.58 2.52 2.26 1.90 1.51 1.18 0.92 0.72 0.53 0.35 0.19 0.10 0.10 0.16 0.23 0.23 0.14 0.00 0.00 0.00 0.00 0.00 0.16 0.32 0.36 0.29 0.17 0.07 0.07 0.20 0.45 0.75 1.05 1.31 1.49 1.58 1.59 1.53 1.39 1.19 0.93 0.63 0.34 0.11 0.00 0.00 0.10 0.25 0.33 0.30 0.15 0.00 0.00 0.00 0.00 0.00 0.08 0.15 0.12 0.03 0.00 0.00 0.00 0.09 0.25 0.42 0.63 0.89 1.24 1.66 2.09 2.42 2.58 2.52 2.26 1.90 1.51 1.18 0.92 0.72 0.53 0.35 0.19 0.10 0.10 0.16 0.23 0.23 0.14 0.00 0.00 0.00 0.00 0.00 0.16 0.32 0.36 0.29 0.17 0.07 0.07 0.20 0.45 0.75 1.05 1.31 1.49 1.58 1.59 1.53 1.39 1.19 0.93 0.63 0.34 0.11 0.00 0.00 0.10 0.25 0.33 0.30 0.15 0.00 0.00 0.00 0.00 0.00 0.08 0.15 0.12 0.03 0.00 0.00 0.00 0.09 0.25 0.42 0.63 0.89 1.24 1.66 2.09 10.0 + 12.5 1.85 2.23 2.41 2.35 2.09 1.72 1.33 1.03 0.82 0.67 0.53 0.37 0.21 0.08 0.05 0.10 0.18 0.22 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.20 0.12 0.00 0.00 0.00 0.00 0.11 0.43 0.74 0.98 1.13 1.19 1.18 1.13 1.03 0.86 0.62 0.32 0.02 0.00 0.00 0.00 0.00 0.06 0.13 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.22 0.37 0.60 0.94 1.38 1.85 2.23 2.41 2.35 2.09 1.72 1.33 1.03 0.82 0.67 0.53 0.37 0.21 0.08 0.05 0.10 0.18 0.22 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.20 0.12 0.00 0.00 0.00 0.00 0.11 0.43 0.74 0.98 1.13 1.19 1.18 1.13 1.03 0.86 0.62 0.32 0.02 0.00 0.00 0.00 0.00 0.06 0.13 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.22 0.37 0.60 0.94 1.38 1.85 12.5 + 15.0 1.59 1.99 2.20 2.15 1.89 1.51 1.15 0.89 0.75 0.68 0.60 0.47 0.29 0.13 0.05 0.08 0.16 0.20 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.12 0.05 0.00 0.00 0.00 0.00 0.00 0.26 0.56 0.77 0.87 0.89 0.87 0.84 0.78 0.65 0.44 0.16 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.08 0.16 0.34 0.66 1.11 1.59 1.99 2.20 2.15 1.89 1.51 1.15 0.89 0.75 0.68 0.60 0.47 0.29 0.13 0.05 0.08 0.16 0.20 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.12 0.05 0.00 0.00 0.00 0.00 0.00 0.26 0.56 0.77 0.87 0.89 0.87 0.84 0.78 0.65 0.44 0.16 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.08 0.16 0.34 0.66 1.11 1.59 15.0 + 17.5 1.46 1.87 2.08 2.03 1.77 1.40 1.07 0.86 0.79 0.77 0.74 0.62 0.42 0.23 0.11 0.12 0.21 0.26 0.19 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.24 0.17 0.00 0.00 0.00 0.00 0.00 0.33 0.61 0.79 0.85 0.84 0.81 0.79 0.76 0.68 0.50 0.23 0.00 0.00 0.00 0.00 0.00 0.11 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.05 0.08 0.21 0.51 0.96 1.46 1.87 2.08 2.03 1.77 1.40 1.07 0.86 0.79 0.77 0.74 0.62 0.42 0.23 0.11 0.12 0.21 0.26 0.19 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.24 0.17 0.00 0.00 0.00 0.00 0.00 0.33 0.61 0.79 0.85 0.84 0.81 0.79 0.76 0.68 0.50 0.23 0.00 0.00 0.00 0.00 0.00 0.11 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.05 0.08 0.21 0.51 0.96 1.46 17.5 + 20.0 1.52 1.94 2.14 2.08 1.80 1.45 1.14 0.97 0.94 0.96 0.94 0.81 0.59 0.36 0.23 0.24 0.34 0.42 0.37 0.16 0.00 0.00 0.00 0.00 0.10 0.41 0.55 0.47 0.25 0.02 0.00 0.02 0.28 0.61 0.88 1.02 1.05 1.02 0.98 0.97 0.97 0.92 0.76 0.50 0.20 0.00 0.00 0.03 0.27 0.47 0.50 0.31 0.00 0.00 0.00 0.00 0.00 0.08 0.23 0.21 0.06 0.00 0.00 0.00 0.04 0.16 0.20 0.17 0.15 0.26 0.55 1.01 1.52 1.94 2.14 2.08 1.80 1.45 1.14 0.97 0.94 0.96 0.94 0.81 0.59 0.36 0.23 0.24 0.34 0.42 0.37 0.16 0.00 0.00 0.00 0.00 0.10 0.41 0.55 0.47 0.25 0.02 0.00 0.02 0.28 0.61 0.88 1.02 1.05 1.02 0.98 0.97 0.97 0.92 0.76 0.50 0.20 0.00 0.00 0.03 0.27 0.47 0.50 0.31 0.00 0.00 0.00 0.00 0.00 0.08 0.23 0.21 0.06 0.00 0.00 0.00 0.04 0.16 0.20 0.17 0.15 0.26 0.55 1.01 1.52 20.0 + 22.5 1.73 2.14 2.33 2.25 1.96 1.61 1.32 1.18 1.17 1.21 1.18 1.02 0.77 0.52 0.40 0.43 0.57 0.68 0.65 0.45 0.16 0.00 0.00 0.14 0.47 0.77 0.88 0.78 0.54 0.30 0.21 0.33 0.60 0.92 1.17 1.30 1.32 1.27 1.24 1.24 1.25 1.21 1.06 0.81 0.52 0.30 0.26 0.41 0.68 0.91 0.96 0.78 0.45 0.13 0.00 0.07 0.32 0.58 0.69 0.61 0.40 0.20 0.11 0.17 0.31 0.43 0.46 0.41 0.37 0.46 0.75 1.21 1.73 2.14 2.33 2.25 1.96 1.61 1.32 1.18 1.17 1.21 1.18 1.02 0.77 0.52 0.40 0.43 0.57 0.68 0.65 0.45 0.16 0.00 0.00 0.14 0.47 0.77 0.88 0.78 0.54 0.30 0.21 0.33 0.60 0.92 1.17 1.30 1.32 1.27 1.24 1.24 1.25 1.21 1.06 0.81 0.52 0.30 0.26 0.41 0.68 0.91 0.96 0.78 0.45 0.13 0.00 0.07 0.32 0.58 0.69 0.61 0.40 0.20 0.11 0.17 0.31 0.43 0.46 0.41 0.37 0.46 0.75 1.21 1.73 22.5 + 25.0 1.96 2.35 2.51 2.41 2.11 1.77 1.51 1.41 1.43 1.47 1.42 1.23 0.96 0.72 0.63 0.71 0.89 1.01 0.97 0.74 0.44 0.21 0.19 0.40 0.72 0.98 1.04 0.89 0.63 0.39 0.32 0.45 0.73 1.04 1.28 1.40 1.40 1.36 1.33 1.34 1.36 1.33 1.19 0.94 0.67 0.46 0.44 0.62 0.91 1.18 1.26 1.11 0.81 0.53 0.41 0.52 0.80 1.06 1.16 1.04 0.78 0.53 0.41 0.46 0.61 0.74 0.77 0.70 0.64 0.72 1.00 1.45 1.96 2.35 2.51 2.41 2.11 1.77 1.51 1.41 1.43 1.47 1.42 1.23 0.96 0.72 0.63 0.71 0.89 1.01 0.97 0.74 0.44 0.21 0.19 0.40 0.72 0.98 1.04 0.89 0.63 0.39 0.32 0.45 0.73 1.04 1.28 1.40 1.40 1.36 1.33 1.34 1.36 1.33 1.19 0.94 0.67 0.46 0.44 0.62 0.91 1.18 1.26 1.11 0.81 0.53 0.41 0.52 0.80 1.06 1.16 1.04 0.78 0.53 0.41 0.46 0.61 0.74 0.77 0.70 0.64 0.72 1.00 1.45 1.96 25.0 + 27.5 2.05 2.42 2.55 2.42 2.12 1.80 1.60 1.56 1.63 1.69 1.63 1.43 1.17 0.97 0.94 1.08 1.28 1.39 1.28 0.96 0.58 0.30 0.25 0.43 0.71 0.91 0.91 0.71 0.42 0.20 0.15 0.30 0.58 0.87 1.08 1.17 1.17 1.13 1.11 1.13 1.16 1.13 1.00 0.77 0.50 0.31 0.30 0.49 0.81 1.10 1.22 1.11 0.84 0.59 0.52 0.70 1.03 1.34 1.48 1.37 1.10 0.82 0.68 0.73 0.89 1.03 1.06 0.98 0.89 0.92 1.16 1.58 2.05 2.42 2.55 2.42 2.12 1.80 1.60 1.56 1.63 1.69 1.63 1.43 1.17 0.97 0.94 1.08 1.28 1.39 1.28 0.96 0.58 0.30 0.25 0.43 0.71 0.91 0.91 0.71 0.42 0.20 0.15 0.30 0.58 0.87 1.08 1.17 1.17 1.13 1.11 1.13 1.16 1.13 1.00 0.77 0.50 0.31 0.30 0.49 0.81 1.10 1.22 1.11 0.84 0.59 0.52 0.70 1.03 1.34 1.48 1.37 1.10 0.82 0.68 0.73 0.89 1.03 1.06 0.98 0.89 0.92 1.16 1.58 2.05 27.5 + 30.0 1.96 2.28 2.38 2.23 1.93 1.66 1.53 1.57 1.71 1.82 1.79 1.63 1.42 1.30 1.37 1.58 1.79 1.83 1.59 1.13 0.61 0.23 0.13 0.27 0.50 0.64 0.58 0.33 0.02 0.00 0.00 0.00 0.22 0.48 0.64 0.69 0.67 0.62 0.61 0.63 0.67 0.65 0.54 0.32 0.07 0.00 0.00 0.07 0.39 0.69 0.82 0.73 0.50 0.28 0.27 0.52 0.96 1.38 1.61 1.56 1.31 1.03 0.89 0.94 1.11 1.26 1.28 1.17 1.02 0.99 1.16 1.53 1.96 2.28 2.38 2.23 1.93 1.66 1.53 1.57 1.71 1.82 1.79 1.63 1.42 1.30 1.37 1.58 1.79 1.83 1.59 1.13 0.61 0.23 0.13 0.27 0.50 0.64 0.58 0.33 0.02 0.00 0.00 0.00 0.22 0.48 0.64 0.69 0.67 0.62 0.61 0.63 0.67 0.65 0.54 0.32 0.07 0.00 0.00 0.07 0.39 0.69 0.82 0.73 0.50 0.28 0.27 0.52 0.96 1.38 1.61 1.56 1.31 1.03 0.89 0.94 1.11 1.26 1.28 1.17 1.02 0.99 1.16 1.53 1.96 30.0 + 32.5 1.72 2.01 2.07 1.89 1.60 1.36 1.30 1.44 1.67 1.86 1.89 1.80 1.69 1.71 1.90 2.20 2.41 2.36 1.97 1.32 0.63 0.15 0.00 0.09 0.29 0.38 0.26 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.22 0.20 0.12 0.05 0.03 0.07 0.12 0.13 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.28 0.19 0.00 0.00 0.00 0.15 0.71 1.28 1.64 1.68 1.48 1.22 1.06 1.10 1.26 1.40 1.40 1.24 1.03 0.92 1.02 1.33 1.72 2.01 2.07 1.89 1.60 1.36 1.30 1.44 1.67 1.86 1.89 1.80 1.69 1.71 1.90 2.20 2.41 2.36 1.97 1.32 0.63 0.15 0.00 0.09 0.29 0.38 0.26 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.22 0.20 0.12 0.05 0.03 0.07 0.12 0.13 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.28 0.19 0.00 0.00 0.00 0.15 0.71 1.28 1.64 1.68 1.48 1.22 1.06 1.10 1.26 1.40 1.40 1.24 1.03 0.92 1.02 1.33 1.72 32.5 + 35.0 1.47 1.73 1.76 1.55 1.25 1.03 1.02 1.23 1.54 1.81 1.93 1.95 1.97 2.15 2.49 2.89 3.12 2.99 2.43 1.61 0.77 0.20 0.00 0.10 0.29 0.35 0.21 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.53 1.25 1.74 1.89 1.72 1.45 1.25 1.24 1.37 1.47 1.43 1.22 0.95 0.77 0.83 1.10 1.47 1.73 1.76 1.55 1.25 1.03 1.02 1.23 1.54 1.81 1.93 1.95 1.97 2.15 2.49 2.89 3.12 2.99 2.43 1.61 0.77 0.20 0.00 0.10 0.29 0.35 0.21 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.53 1.25 1.74 1.89 1.72 1.45 1.25 1.24 1.37 1.47 1.43 1.22 0.95 0.77 0.83 1.10 1.47 35.0 + 37.5 1.32 1.57 1.58 1.34 0.99 0.75 0.75 1.00 1.37 1.71 1.92 2.04 2.21 2.55 3.05 3.56 3.81 3.62 2.94 1.98 1.05 0.43 0.24 0.36 0.57 0.64 0.48 0.17 0.00 0.00 0.00 0.03 0.25 0.34 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.63 1.47 2.08 2.28 2.12 1.79 1.51 1.41 1.45 1.50 1.40 1.14 0.83 0.62 0.67 0.95 1.32 1.57 1.58 1.34 0.99 0.75 0.75 1.00 1.37 1.71 1.92 2.04 2.21 2.55 3.05 3.56 3.81 3.62 2.94 1.98 1.05 0.43 0.24 0.36 0.57 0.64 0.48 0.17 0.00 0.00 0.00 0.03 0.25 0.34 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.63 1.47 2.08 2.28 2.12 1.79 1.51 1.41 1.45 1.50 1.40 1.14 0.83 0.62 0.67 0.95 1.32 37.5 + 40.0 1.30 1.57 1.56 1.27 0.88 0.60 0.58 0.83 1.22 1.59 1.86 2.06 2.34 2.81 3.44 4.03 4.32 4.09 3.34 2.31 1.34 0.73 0.57 0.75 1.00 1.08 0.93 0.62 0.33 0.23 0.35 0.59 0.80 0.87 0.75 0.51 0.24 0.06 0.02 0.12 0.28 0.41 0.41 0.26 0.00 0.00 0.00 0.00 0.00 0.22 0.30 0.14 0.00 0.00 0.00 0.19 1.06 1.99 2.66 2.88 2.67 2.24 1.84 1.62 1.55 1.52 1.36 1.06 0.72 0.52 0.59 0.90 1.30 1.57 1.56 1.27 0.88 0.60 0.58 0.83 1.22 1.59 1.86 2.06 2.34 2.81 3.44 4.03 4.32 4.09 3.34 2.31 1.34 0.73 0.57 0.75 1.00 1.08 0.93 0.62 0.33 0.23 0.35 0.59 0.80 0.87 0.75 0.51 0.24 0.06 0.02 0.12 0.28 0.41 0.41 0.26 0.00 0.00 0.00 0.00 0.00 0.22 0.30 0.14 0.00 0.00 0.00 0.19 1.06 1.99 2.66 2.88 2.67 2.24 1.84 1.62 1.55 1.52 1.36 1.06 0.72 0.52 0.59 0.90 1.30 40.0 + 42.5 1.37 1.65 1.63 1.31 0.88 0.56 0.51 0.74 1.13 1.50 1.78 2.02 2.34 2.87 3.56 4.19 4.48 4.23 3.46 2.41 1.44 0.87 0.77 1.00 1.29 1.40 1.25 0.95 0.69 0.61 0.76 1.02 1.25 1.31 1.18 0.92 0.64 0.46 0.44 0.57 0.79 0.96 1.01 0.87 0.60 0.33 0.19 0.28 0.54 0.80 0.88 0.70 0.36 0.11 0.20 0.76 1.69 2.67 3.37 3.57 3.29 2.76 2.22 1.87 1.69 1.56 1.35 1.01 0.67 0.48 0.58 0.94 1.37 1.65 1.63 1.31 0.88 0.56 0.51 0.74 1.13 1.50 1.78 2.02 2.34 2.87 3.56 4.19 4.48 4.23 3.46 2.41 1.44 0.87 0.77 1.00 1.29 1.40 1.25 0.95 0.69 0.61 0.76 1.02 1.25 1.31 1.18 0.92 0.64 0.46 0.44 0.57 0.79 0.96 1.01 0.87 0.60 0.33 0.19 0.28 0.54 0.80 0.88 0.70 0.36 0.11 0.20 0.76 1.69 2.67 3.37 3.57 3.29 2.76 2.22 1.87 1.69 1.56 1.35 1.01 0.67 0.48 0.58 0.94 1.37 42.5 + 45.0 1.44 1.73 1.70 1.37 0.91 0.57 0.51 0.73 1.10 1.45 1.70 1.91 2.21 2.71 3.36 3.96 4.23 3.96 3.18 2.15 1.22 0.70 0.64 0.92 1.23 1.36 1.22 0.93 0.69 0.63 0.80 1.08 1.32 1.40 1.29 1.05 0.80 0.65 0.66 0.83 1.09 1.31 1.39 1.27 1.01 0.74 0.61 0.70 0.96 1.24 1.33 1.16 0.83 0.59 0.72 1.32 2.29 3.30 4.00 4.17 3.84 3.21 2.58 2.13 1.86 1.66 1.39 1.03 0.67 0.50 0.62 0.99 1.44 1.73 1.70 1.37 0.91 0.57 0.51 0.73 1.10 1.45 1.70 1.91 2.21 2.71 3.36 3.96 4.23 3.96 3.18 2.15 1.22 0.70 0.64 0.92 1.23 1.36 1.22 0.93 0.69 0.63 0.80 1.08 1.32 1.40 1.29 1.05 0.80 0.65 0.66 0.83 1.09 1.31 1.39 1.27 1.01 0.74 0.61 0.70 0.96 1.24 1.33 1.16 0.83 0.59 0.72 1.32 2.29 3.30 4.00 4.17 3.84 3.21 2.58 2.13 1.86 1.66 1.39 1.03 0.67 0.50 0.62 0.99 1.44 45.0 + 47.5 1.46 1.74 1.70 1.38 0.94 0.62 0.56 0.78 1.14 1.45 1.65 1.77 1.98 2.37 2.92 3.43 3.64 3.35 2.59 1.60 0.72 0.24 0.21 0.49 0.81 0.94 0.81 0.54 0.30 0.25 0.42 0.70 0.96 1.07 1.00 0.81 0.61 0.50 0.55 0.75 1.03 1.27 1.37 1.27 1.03 0.77 0.66 0.77 1.06 1.35 1.46 1.31 1.02 0.84 1.02 1.67 2.67 3.69 4.39 4.53 4.16 3.51 2.84 2.35 2.04 1.81 1.51 1.13 0.76 0.57 0.67 1.03 1.46 1.74 1.70 1.38 0.94 0.62 0.56 0.78 1.14 1.45 1.65 1.77 1.98 2.37 2.92 3.43 3.64 3.35 2.59 1.60 0.72 0.24 0.21 0.49 0.81 0.94 0.81 0.54 0.30 0.25 0.42 0.70 0.96 1.07 1.00 0.81 0.61 0.50 0.55 0.75 1.03 1.27 1.37 1.27 1.03 0.77 0.66 0.77 1.06 1.35 1.46 1.31 1.02 0.84 1.02 1.67 2.67 3.69 4.39 4.53 4.16 3.51 2.84 2.35 2.04 1.81 1.51 1.13 0.76 0.57 0.67 1.03 1.46 47.5 + 50.0 1.47 1.71 1.67 1.36 0.96 0.67 0.65 0.88 1.22 1.49 1.62 1.64 1.72 1.96 2.37 2.77 2.91 2.61 1.90 0.97 0.16 0.00 0.00 0.00 0.25 0.37 0.24 0.00 0.00 0.00 0.00 0.10 0.35 0.49 0.47 0.35 0.20 0.14 0.21 0.41 0.68 0.91 1.00 0.91 0.69 0.46 0.38 0.52 0.82 1.13 1.26 1.15 0.92 0.81 1.05 1.75 2.76 3.76 4.43 4.56 4.19 3.56 2.94 2.48 2.21 1.98 1.69 1.29 0.91 0.70 0.77 1.08 1.47 1.71 1.67 1.36 0.96 0.67 0.65 0.88 1.22 1.49 1.62 1.64 1.72 1.96 2.37 2.77 2.91 2.61 1.90 0.97 0.16 0.00 0.00 0.00 0.25 0.37 0.24 0.00 0.00 0.00 0.00 0.10 0.35 0.49 0.47 0.35 0.20 0.14 0.21 0.41 0.68 0.91 1.00 0.91 0.69 0.46 0.38 0.52 0.82 1.13 1.26 1.15 0.92 0.81 1.05 1.75 2.76 3.76 4.43 4.56 4.19 3.56 2.94 2.48 2.21 1.98 1.69 1.29 0.91 0.70 0.77 1.08 1.47 50.0 + 52.5 1.53 1.73 1.67 1.38 1.01 0.76 0.75 0.98 1.30 1.53 1.59 1.53 1.48 1.59 1.87 2.17 2.27 2.01 1.37 0.54 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.06 0.28 0.47 0.52 0.42 0.21 0.02 0.00 0.14 0.46 0.77 0.91 0.84 0.67 0.62 0.92 1.63 2.60 3.54 4.14 4.25 3.92 3.37 2.86 2.51 2.31 2.15 1.88 1.51 1.14 0.91 0.94 1.20 1.53 1.73 1.67 1.38 1.01 0.76 0.75 0.98 1.30 1.53 1.59 1.53 1.48 1.59 1.87 2.17 2.27 2.01 1.37 0.54 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.06 0.28 0.47 0.52 0.42 0.21 0.02 0.00 0.14 0.46 0.77 0.91 0.84 0.67 0.62 0.92 1.63 2.60 3.54 4.14 4.25 3.92 3.37 2.86 2.51 2.31 2.15 1.88 1.51 1.14 0.91 0.94 1.20 1.53 52.5 + 55.0 1.68 1.84 1.75 1.46 1.10 0.85 0.84 1.05 1.33 1.53 1.55 1.42 1.30 1.32 1.51 1.77 1.88 1.69 1.17 0.47 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.22 0.21 0.07 0.00 0.00 0.00 0.00 0.21 0.51 0.65 0.60 0.46 0.45 0.76 1.43 2.31 3.13 3.63 3.70 3.41 2.98 2.61 2.41 2.34 2.25 2.06 1.73 1.39 1.18 1.20 1.41 1.68 1.84 1.75 1.46 1.10 0.85 0.84 1.05 1.33 1.53 1.55 1.42 1.30 1.32 1.51 1.77 1.88 1.69 1.17 0.47 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.22 0.21 0.07 0.00 0.00 0.00 0.00 0.21 0.51 0.65 0.60 0.46 0.45 0.76 1.43 2.31 3.13 3.63 3.70 3.41 2.98 2.61 2.41 2.34 2.25 2.06 1.73 1.39 1.18 1.20 1.41 1.68 55.0 + 57.5 1.91 2.02 1.89 1.57 1.19 0.92 0.87 1.03 1.27 1.43 1.43 1.29 1.15 1.14 1.31 1.57 1.73 1.64 1.26 0.71 0.21 0.00 0.00 0.14 0.34 0.38 0.22 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.15 0.14 0.10 0.08 0.11 0.20 0.28 0.30 0.22 0.03 0.00 0.00 0.00 0.00 0.22 0.49 0.60 0.52 0.39 0.38 0.66 1.24 1.97 2.62 2.99 3.00 2.76 2.45 2.25 2.21 2.26 2.27 2.15 1.90 1.62 1.46 1.49 1.68 1.91 2.02 1.89 1.57 1.19 0.92 0.87 1.03 1.27 1.43 1.43 1.29 1.15 1.14 1.31 1.57 1.73 1.64 1.26 0.71 0.21 0.00 0.00 0.14 0.34 0.38 0.22 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.15 0.14 0.10 0.08 0.11 0.20 0.28 0.30 0.22 0.03 0.00 0.00 0.00 0.00 0.22 0.49 0.60 0.52 0.39 0.38 0.66 1.24 1.97 2.62 2.99 3.00 2.76 2.45 2.25 2.21 2.26 2.27 2.15 1.90 1.62 1.46 1.49 1.68 1.91 57.5 + 60.0 2.12 2.17 2.00 1.64 1.21 0.89 0.78 0.88 1.07 1.21 1.21 1.09 0.97 0.98 1.17 1.46 1.69 1.69 1.44 1.02 0.63 0.44 0.49 0.70 0.89 0.92 0.75 0.44 0.15 0.00 0.03 0.19 0.41 0.57 0.65 0.65 0.62 0.61 0.64 0.68 0.70 0.64 0.48 0.24 0.00 0.00 0.00 0.15 0.44 0.66 0.70 0.59 0.42 0.39 0.60 1.06 1.63 2.10 2.32 2.28 2.08 1.89 1.84 1.94 2.10 2.20 2.15 1.97 1.77 1.66 1.73 1.92 2.12 2.17 2.00 1.64 1.21 0.89 0.78 0.88 1.07 1.21 1.21 1.09 0.97 0.98 1.17 1.46 1.69 1.69 1.44 1.02 0.63 0.44 0.49 0.70 0.89 0.92 0.75 0.44 0.15 0.00 0.03 0.19 0.41 0.57 0.65 0.65 0.62 0.61 0.64 0.68 0.70 0.64 0.48 0.24 0.00 0.00 0.00 0.15 0.44 0.66 0.70 0.59 0.42 0.39 0.60 1.06 1.63 2.10 2.32 2.28 2.08 1.89 1.84 1.94 2.10 2.20 2.15 1.97 1.77 1.66 1.73 1.92 2.12 60.0 + 62.5 2.20 2.20 1.97 1.56 1.10 0.73 0.57 0.61 0.76 0.88 0.89 0.81 0.73 0.78 0.99 1.30 1.56 1.63 1.46 1.14 0.84 0.71 0.81 1.05 1.26 1.29 1.12 0.82 0.54 0.40 0.44 0.62 0.84 1.02 1.11 1.12 1.11 1.11 1.14 1.17 1.15 1.02 0.80 0.51 0.27 0.16 0.23 0.45 0.70 0.85 0.82 0.64 0.44 0.37 0.52 0.87 1.29 1.60 1.71 1.63 1.48 1.40 1.47 1.68 1.91 2.05 2.04 1.92 1.79 1.75 1.86 2.04 2.20 2.20 1.97 1.56 1.10 0.73 0.57 0.61 0.76 0.88 0.89 0.81 0.73 0.78 0.99 1.30 1.56 1.63 1.46 1.14 0.84 0.71 0.81 1.05 1.26 1.29 1.12 0.82 0.54 0.40 0.44 0.62 0.84 1.02 1.11 1.12 1.11 1.11 1.14 1.17 1.15 1.02 0.80 0.51 0.27 0.16 0.23 0.45 0.70 0.85 0.82 0.64 0.44 0.37 0.52 0.87 1.29 1.60 1.71 1.63 1.48 1.40 1.47 1.68 1.91 2.05 2.04 1.92 1.79 1.75 1.86 2.04 2.20 62.5 + 65.0 2.13 2.07 1.78 1.33 0.84 0.46 0.27 0.27 0.39 0.50 0.52 0.46 0.42 0.49 0.71 1.01 1.26 1.33 1.18 0.91 0.67 0.61 0.75 1.02 1.25 1.31 1.16 0.89 0.63 0.52 0.59 0.79 1.03 1.22 1.31 1.34 1.35 1.37 1.42 1.44 1.39 1.23 0.96 0.65 0.41 0.32 0.42 0.64 0.85 0.93 0.82 0.59 0.35 0.26 0.38 0.67 0.99 1.20 1.24 1.15 1.04 1.05 1.21 1.47 1.73 1.88 1.89 1.80 1.72 1.73 1.85 2.03 2.13 2.07 1.78 1.33 0.84 0.46 0.27 0.27 0.39 0.50 0.52 0.46 0.42 0.49 0.71 1.01 1.26 1.33 1.18 0.91 0.67 0.61 0.75 1.02 1.25 1.31 1.16 0.89 0.63 0.52 0.59 0.79 1.03 1.22 1.31 1.34 1.35 1.37 1.42 1.44 1.39 1.23 0.96 0.65 0.41 0.32 0.42 0.64 0.85 0.93 0.82 0.59 0.35 0.26 0.38 0.67 0.99 1.20 1.24 1.15 1.04 1.05 1.21 1.47 1.73 1.88 1.89 1.80 1.72 1.73 1.85 2.03 2.13 65.0 + 67.5 1.99 1.85 1.52 1.04 0.55 0.17 0.00 0.00 0.06 0.15 0.16 0.12 0.09 0.17 0.36 0.62 0.82 0.85 0.69 0.43 0.23 0.21 0.39 0.69 0.94 1.02 0.90 0.66 0.45 0.37 0.48 0.70 0.95 1.14 1.24 1.28 1.31 1.36 1.42 1.45 1.38 1.18 0.89 0.57 0.35 0.30 0.43 0.64 0.82 0.85 0.69 0.43 0.19 0.11 0.24 0.51 0.78 0.95 0.96 0.88 0.82 0.89 1.09 1.37 1.62 1.75 1.75 1.68 1.63 1.68 1.81 1.94 1.99 1.85 1.52 1.04 0.55 0.17 0.00 0.00 0.06 0.15 0.16 0.12 0.09 0.17 0.36 0.62 0.82 0.85 0.69 0.43 0.23 0.21 0.39 0.69 0.94 1.02 0.90 0.66 0.45 0.37 0.48 0.70 0.95 1.14 1.24 1.28 1.31 1.36 1.42 1.45 1.38 1.18 0.89 0.57 0.35 0.30 0.43 0.64 0.82 0.85 0.69 0.43 0.19 0.11 0.24 0.51 0.78 0.95 0.96 0.88 0.82 0.89 1.09 1.37 1.62 1.75 1.75 1.68 1.63 1.68 1.81 1.94 1.99 67.5 + 70.0 1.90 1.70 1.31 0.82 0.35 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.28 0.41 0.39 0.20 0.00 0.00 0.00 0.00 0.30 0.56 0.64 0.54 0.33 0.16 0.12 0.25 0.49 0.74 0.93 1.04 1.09 1.15 1.22 1.29 1.31 1.22 0.99 0.69 0.39 0.20 0.18 0.34 0.56 0.72 0.72 0.54 0.28 0.07 0.03 0.19 0.47 0.74 0.89 0.91 0.84 0.82 0.91 1.12 1.38 1.59 1.69 1.69 1.64 1.63 1.69 1.82 1.92 1.90 1.70 1.31 0.82 0.35 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.28 0.41 0.39 0.20 0.00 0.00 0.00 0.00 0.30 0.56 0.64 0.54 0.33 0.16 0.12 0.25 0.49 0.74 0.93 1.04 1.09 1.15 1.22 1.29 1.31 1.22 0.99 0.69 0.39 0.20 0.18 0.34 0.56 0.72 0.72 0.54 0.28 0.07 0.03 0.19 0.47 0.74 0.89 0.91 0.84 0.82 0.91 1.12 1.38 1.59 1.69 1.69 1.64 1.63 1.69 1.82 1.92 1.90 70.0 + 72.5 1.97 1.71 1.29 0.80 0.33 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.20 0.13 0.00 0.00 0.00 0.00 0.00 0.12 0.34 0.40 0.29 0.11 0.00 0.00 0.11 0.35 0.59 0.78 0.90 0.98 1.07 1.16 1.23 1.23 1.10 0.86 0.55 0.26 0.11 0.13 0.30 0.52 0.67 0.67 0.51 0.28 0.11 0.11 0.29 0.58 0.85 1.00 1.02 0.97 0.95 1.04 1.22 1.44 1.62 1.70 1.71 1.70 1.74 1.85 1.98 2.05 1.97 1.71 1.29 0.80 0.33 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.20 0.13 0.00 0.00 0.00 0.00 0.00 0.12 0.34 0.40 0.29 0.11 0.00 0.00 0.11 0.35 0.59 0.78 0.90 0.98 1.07 1.16 1.23 1.23 1.10 0.86 0.55 0.26 0.11 0.13 0.30 0.52 0.67 0.67 0.51 0.28 0.11 0.11 0.29 0.58 0.85 1.00 1.02 0.97 0.95 1.04 1.22 1.44 1.62 1.70 1.71 1.70 1.74 1.85 1.98 2.05 1.97 72.5 + 75.0 2.21 1.91 1.47 0.97 0.52 0.19 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.21 0.25 0.16 0.00 0.00 0.00 0.00 0.00 0.23 0.39 0.40 0.27 0.09 0.00 0.00 0.14 0.37 0.61 0.81 0.96 1.08 1.20 1.31 1.37 1.34 1.19 0.92 0.61 0.34 0.21 0.24 0.41 0.62 0.76 0.77 0.63 0.44 0.31 0.32 0.50 0.77 1.02 1.17 1.19 1.15 1.12 1.18 1.32 1.50 1.65 1.74 1.79 1.84 1.95 2.11 2.26 2.32 2.21 1.91 1.47 0.97 0.52 0.19 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.21 0.25 0.16 0.00 0.00 0.00 0.00 0.00 0.23 0.39 0.40 0.27 0.09 0.00 0.00 0.14 0.37 0.61 0.81 0.96 1.08 1.20 1.31 1.37 1.34 1.19 0.92 0.61 0.34 0.21 0.24 0.41 0.62 0.76 0.77 0.63 0.44 0.31 0.32 0.50 0.77 1.02 1.17 1.19 1.15 1.12 1.18 1.32 1.50 1.65 1.74 1.79 1.84 1.95 2.11 2.26 2.32 2.21 75.0 + 77.5 2.49 2.18 1.74 1.25 0.81 0.48 0.27 0.15 0.08 0.03 0.00 0.00 0.07 0.19 0.34 0.45 0.46 0.38 0.23 0.11 0.09 0.19 0.36 0.53 0.60 0.54 0.39 0.22 0.13 0.16 0.31 0.53 0.77 1.00 1.20 1.38 1.54 1.66 1.71 1.65 1.46 1.18 0.88 0.63 0.50 0.51 0.64 0.81 0.93 0.94 0.83 0.67 0.55 0.54 0.67 0.89 1.11 1.24 1.27 1.23 1.20 1.23 1.33 1.47 1.61 1.73 1.84 1.98 2.16 2.37 2.55 2.61 2.49 2.18 1.74 1.25 0.81 0.48 0.27 0.15 0.08 0.03 0.00 0.00 0.07 0.19 0.34 0.45 0.46 0.38 0.23 0.11 0.09 0.19 0.36 0.53 0.60 0.54 0.39 0.22 0.13 0.16 0.31 0.53 0.77 1.00 1.20 1.38 1.54 1.66 1.71 1.65 1.46 1.18 0.88 0.63 0.50 0.51 0.64 0.81 0.93 0.94 0.83 0.67 0.55 0.54 0.67 0.89 1.11 1.24 1.27 1.23 1.20 1.23 1.33 1.47 1.61 1.73 1.84 1.98 2.16 2.37 2.55 2.61 2.49 77.5 + 80.0 2.66 2.37 1.96 1.50 1.09 0.76 0.52 0.36 0.25 0.18 0.16 0.21 0.32 0.46 0.59 0.67 0.65 0.57 0.46 0.41 0.44 0.56 0.70 0.78 0.77 0.66 0.50 0.35 0.30 0.35 0.51 0.73 0.98 1.24 1.50 1.74 1.94 2.07 2.10 2.00 1.79 1.51 1.22 0.97 0.83 0.79 0.86 0.96 1.04 1.04 0.94 0.79 0.66 0.61 0.67 0.81 0.99 1.12 1.17 1.16 1.13 1.14 1.21 1.33 1.48 1.64 1.81 2.01 2.26 2.51 2.71 2.77 2.66 2.37 1.96 1.50 1.09 0.76 0.52 0.36 0.25 0.18 0.16 0.21 0.32 0.46 0.59 0.67 0.65 0.57 0.46 0.41 0.44 0.56 0.70 0.78 0.77 0.66 0.50 0.35 0.30 0.35 0.51 0.73 0.98 1.24 1.50 1.74 1.94 2.07 2.10 2.00 1.79 1.51 1.22 0.97 0.83 0.79 0.86 0.96 1.04 1.04 0.94 0.79 0.66 0.61 0.67 0.81 0.99 1.12 1.17 1.16 1.13 1.14 1.21 1.33 1.48 1.64 1.81 2.01 2.26 2.51 2.71 2.77 2.66 80.0 + 82.5 2.64 2.39 2.03 1.63 1.26 0.94 0.70 0.51 0.37 0.29 0.29 0.36 0.49 0.62 0.71 0.72 0.65 0.55 0.48 0.48 0.56 0.69 0.79 0.82 0.76 0.62 0.48 0.39 0.39 0.48 0.65 0.88 1.15 1.45 1.75 2.04 2.26 2.38 2.37 2.23 2.00 1.72 1.44 1.20 1.03 0.93 0.91 0.93 0.96 0.94 0.86 0.71 0.55 0.44 0.42 0.51 0.66 0.80 0.90 0.94 0.94 0.95 1.00 1.10 1.25 1.44 1.65 1.90 2.18 2.45 2.65 2.73 2.64 2.39 2.03 1.63 1.26 0.94 0.70 0.51 0.37 0.29 0.29 0.36 0.49 0.62 0.71 0.72 0.65 0.55 0.48 0.48 0.56 0.69 0.79 0.82 0.76 0.62 0.48 0.39 0.39 0.48 0.65 0.88 1.15 1.45 1.75 2.04 2.26 2.38 2.37 2.23 2.00 1.72 1.44 1.20 1.03 0.93 0.91 0.93 0.96 0.94 0.86 0.71 0.55 0.44 0.42 0.51 0.66 0.80 0.90 0.94 0.94 0.95 1.00 1.10 1.25 1.44 1.65 1.90 2.18 2.45 2.65 2.73 2.64 82.5 + 85.0 2.45 2.27 1.98 1.65 1.32 1.03 0.78 0.58 0.43 0.35 0.35 0.43 0.54 0.63 0.64 0.57 0.44 0.31 0.25 0.29 0.41 0.55 0.64 0.64 0.56 0.45 0.36 0.34 0.41 0.55 0.75 0.98 1.27 1.59 1.92 2.22 2.43 2.50 2.44 2.25 2.00 1.72 1.45 1.21 1.01 0.86 0.76 0.72 0.71 0.68 0.61 0.46 0.28 0.12 0.05 0.10 0.25 0.43 0.58 0.67 0.71 0.72 0.75 0.84 0.98 1.18 1.41 1.68 1.95 2.21 2.41 2.50 2.45 2.27 1.98 1.65 1.32 1.03 0.78 0.58 0.43 0.35 0.35 0.43 0.54 0.63 0.64 0.57 0.44 0.31 0.25 0.29 0.41 0.55 0.64 0.64 0.56 0.45 0.36 0.34 0.41 0.55 0.75 0.98 1.27 1.59 1.92 2.22 2.43 2.50 2.44 2.25 2.00 1.72 1.45 1.21 1.01 0.86 0.76 0.72 0.71 0.68 0.61 0.46 0.28 0.12 0.05 0.10 0.25 0.43 0.58 0.67 0.71 0.72 0.75 0.84 0.98 1.18 1.41 1.68 1.95 2.21 2.41 2.50 2.45 85.0 + 87.5 2.24 2.12 1.90 1.64 1.36 1.09 0.85 0.64 0.48 0.38 0.37 0.43 0.51 0.53 0.47 0.32 0.12 0.00 0.00 0.00 0.14 0.30 0.39 0.39 0.34 0.27 0.26 0.32 0.46 0.64 0.86 1.10 1.39 1.72 2.04 2.31 2.47 2.48 2.34 2.10 1.82 1.54 1.28 1.04 0.83 0.64 0.50 0.44 0.42 0.41 0.35 0.21 0.03 0.00 0.00 0.00 0.00 0.17 0.37 0.49 0.53 0.53 0.54 0.61 0.74 0.93 1.16 1.41 1.68 1.93 2.13 2.24 2.24 2.12 1.90 1.64 1.36 1.09 0.85 0.64 0.48 0.38 0.37 0.43 0.51 0.53 0.47 0.32 0.12 0.00 0.00 0.00 0.14 0.30 0.39 0.39 0.34 0.27 0.26 0.32 0.46 0.64 0.86 1.10 1.39 1.72 2.04 2.31 2.47 2.48 2.34 2.10 1.82 1.54 1.28 1.04 0.83 0.64 0.50 0.44 0.42 0.41 0.35 0.21 0.03 0.00 0.00 0.00 0.00 0.17 0.37 0.49 0.53 0.53 0.54 0.61 0.74 0.93 1.16 1.41 1.68 1.93 2.13 2.24 2.24 87.5 + 90.0 2.14 2.09 1.94 1.71 1.46 1.21 0.96 0.74 0.56 0.46 0.42 0.44 0.48 0.45 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.29 0.27 0.26 0.30 0.42 0.60 0.82 1.05 1.30 1.58 1.89 2.18 2.40 2.47 2.40 2.18 1.89 1.58 1.30 1.05 0.82 0.60 0.42 0.30 0.26 0.27 0.29 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.45 0.48 0.44 0.42 0.46 0.56 0.74 0.96 1.21 1.46 1.71 1.94 2.09 2.14 2.09 1.94 1.71 1.46 1.21 0.96 0.74 0.56 0.46 0.42 0.44 0.48 0.45 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.29 0.27 0.26 0.30 0.42 0.60 0.82 1.05 1.30 1.58 1.89 2.18 2.40 2.47 2.40 2.18 1.89 1.58 1.30 1.05 0.82 0.60 0.42 0.30 0.26 0.27 0.29 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.45 0.48 0.44 0.42 0.46 0.56 0.74 0.96 1.21 1.46 1.71 1.94 2.09 2.14 90.0 + + 87.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 4.09 ) PHI2 = 88. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 0.0 + 2.5 2.24 2.31 2.25 2.07 1.83 1.58 1.33 1.11 0.89 0.68 0.51 0.40 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.38 0.41 0.41 0.44 0.53 0.68 0.88 1.09 1.31 1.55 1.79 2.01 2.17 2.22 2.16 2.00 1.78 1.54 1.30 1.08 0.87 0.67 0.52 0.43 0.41 0.41 0.38 0.27 0.07 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.39 0.51 0.68 0.88 1.10 1.33 1.57 1.82 2.07 2.24 2.31 2.25 2.07 1.83 1.58 1.33 1.11 0.89 0.68 0.51 0.40 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.38 0.41 0.41 0.44 0.53 0.68 0.88 1.09 1.31 1.55 1.79 2.01 2.17 2.22 2.16 2.00 1.78 1.54 1.30 1.08 0.87 0.67 0.52 0.43 0.41 0.41 0.38 0.27 0.07 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.39 0.51 0.68 0.88 1.10 1.33 1.57 1.82 2.07 2.24 2.5 + 5.0 2.39 2.47 2.40 2.19 1.91 1.60 1.32 1.07 0.83 0.62 0.44 0.31 0.26 0.27 0.29 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.13 0.33 0.45 0.48 0.45 0.43 0.47 0.58 0.75 0.98 1.22 1.48 1.73 1.95 2.10 2.15 2.08 1.93 1.70 1.45 1.19 0.95 0.73 0.55 0.45 0.41 0.44 0.48 0.46 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.29 0.26 0.25 0.29 0.41 0.59 0.80 1.03 1.28 1.57 1.88 2.17 2.39 2.47 2.40 2.19 1.91 1.60 1.32 1.07 0.83 0.62 0.44 0.31 0.26 0.27 0.29 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.13 0.33 0.45 0.48 0.45 0.43 0.47 0.58 0.75 0.98 1.22 1.48 1.73 1.95 2.10 2.15 2.08 1.93 1.70 1.45 1.19 0.95 0.73 0.55 0.45 0.41 0.44 0.48 0.46 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.29 0.26 0.25 0.29 0.41 0.59 0.80 1.03 1.28 1.57 1.88 2.17 2.39 5.0 + 7.5 2.49 2.60 2.52 2.27 1.93 1.57 1.25 0.97 0.74 0.53 0.34 0.21 0.14 0.16 0.21 0.24 0.20 0.08 0.00 0.00 0.00 0.00 0.11 0.31 0.44 0.47 0.41 0.33 0.30 0.36 0.51 0.74 1.02 1.30 1.56 1.77 1.90 1.94 1.88 1.73 1.51 1.25 0.97 0.70 0.47 0.32 0.27 0.31 0.40 0.46 0.45 0.32 0.12 0.00 0.00 0.00 0.00 0.08 0.20 0.23 0.19 0.12 0.10 0.15 0.27 0.45 0.66 0.89 1.16 1.49 1.86 2.22 2.49 2.60 2.52 2.27 1.93 1.57 1.25 0.97 0.74 0.53 0.34 0.21 0.14 0.16 0.21 0.24 0.20 0.08 0.00 0.00 0.00 0.00 0.11 0.31 0.44 0.47 0.41 0.33 0.30 0.36 0.51 0.74 1.02 1.30 1.56 1.77 1.90 1.94 1.88 1.73 1.51 1.25 0.97 0.70 0.47 0.32 0.27 0.31 0.40 0.46 0.45 0.32 0.12 0.00 0.00 0.00 0.00 0.08 0.20 0.23 0.19 0.12 0.10 0.15 0.27 0.45 0.66 0.89 1.16 1.49 1.86 2.22 2.49 7.5 + 10.0 2.44 2.58 2.49 2.21 1.83 1.43 1.10 0.84 0.63 0.44 0.27 0.12 0.03 0.04 0.10 0.18 0.19 0.11 0.00 0.00 0.00 0.00 0.00 0.14 0.30 0.34 0.26 0.13 0.03 0.03 0.16 0.40 0.70 1.01 1.26 1.45 1.55 1.58 1.53 1.40 1.20 0.94 0.64 0.35 0.11 0.00 0.00 0.10 0.24 0.32 0.29 0.13 0.00 0.00 0.00 0.00 0.00 0.08 0.15 0.13 0.04 0.00 0.00 0.00 0.13 0.30 0.48 0.69 0.95 1.30 1.71 2.12 2.44 2.58 2.49 2.21 1.83 1.43 1.10 0.84 0.63 0.44 0.27 0.12 0.03 0.04 0.10 0.18 0.19 0.11 0.00 0.00 0.00 0.00 0.00 0.14 0.30 0.34 0.26 0.13 0.03 0.03 0.16 0.40 0.70 1.01 1.26 1.45 1.55 1.58 1.53 1.40 1.20 0.94 0.64 0.35 0.11 0.00 0.00 0.10 0.24 0.32 0.29 0.13 0.00 0.00 0.00 0.00 0.00 0.08 0.15 0.13 0.04 0.00 0.00 0.00 0.13 0.30 0.48 0.69 0.95 1.30 1.71 2.12 2.44 10.0 + 12.5 2.25 2.40 2.32 2.02 1.62 1.22 0.90 0.68 0.53 0.40 0.24 0.08 0.00 0.00 0.00 0.09 0.13 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.15 0.08 0.00 0.00 0.00 0.00 0.06 0.38 0.69 0.93 1.08 1.15 1.16 1.12 1.03 0.87 0.63 0.32 0.01 0.00 0.00 0.00 0.00 0.04 0.12 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.00 0.00 0.00 0.00 0.00 0.04 0.18 0.31 0.46 0.68 1.02 1.45 1.90 2.25 2.40 2.32 2.02 1.62 1.22 0.90 0.68 0.53 0.40 0.24 0.08 0.00 0.00 0.00 0.09 0.13 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.15 0.08 0.00 0.00 0.00 0.00 0.06 0.38 0.69 0.93 1.08 1.15 1.16 1.12 1.03 0.87 0.63 0.32 0.01 0.00 0.00 0.00 0.00 0.04 0.12 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.00 0.00 0.00 0.00 0.00 0.04 0.18 0.31 0.46 0.68 1.02 1.45 1.90 2.25 12.5 + 15.0 2.03 2.19 2.11 1.80 1.40 1.01 0.73 0.58 0.50 0.42 0.30 0.13 0.00 0.00 0.00 0.04 0.09 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.50 0.71 0.82 0.85 0.85 0.82 0.77 0.66 0.45 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.13 0.19 0.28 0.45 0.76 1.19 1.66 2.03 2.19 2.11 1.80 1.40 1.01 0.73 0.58 0.50 0.42 0.30 0.13 0.00 0.00 0.00 0.04 0.09 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.50 0.71 0.82 0.85 0.85 0.82 0.77 0.66 0.45 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.13 0.19 0.28 0.45 0.76 1.19 1.66 2.03 15.0 + 17.5 1.92 2.09 2.00 1.69 1.28 0.91 0.68 0.58 0.57 0.54 0.43 0.25 0.06 0.00 0.00 0.08 0.14 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.19 0.13 0.00 0.00 0.00 0.00 0.00 0.28 0.56 0.74 0.80 0.80 0.78 0.77 0.76 0.68 0.51 0.23 0.00 0.00 0.00 0.00 0.00 0.09 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.19 0.20 0.22 0.34 0.63 1.06 1.54 1.92 2.09 2.00 1.69 1.28 0.91 0.68 0.58 0.57 0.54 0.43 0.25 0.06 0.00 0.00 0.08 0.14 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.19 0.13 0.00 0.00 0.00 0.00 0.00 0.28 0.56 0.74 0.80 0.80 0.78 0.77 0.76 0.68 0.51 0.23 0.00 0.00 0.00 0.00 0.00 0.09 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.19 0.20 0.22 0.34 0.63 1.06 1.54 1.92 17.5 + 20.0 2.01 2.18 2.08 1.76 1.34 0.99 0.78 0.72 0.75 0.74 0.63 0.43 0.22 0.10 0.12 0.24 0.34 0.30 0.10 0.00 0.00 0.00 0.00 0.05 0.37 0.53 0.46 0.24 0.00 0.00 0.00 0.24 0.56 0.83 0.98 1.02 0.99 0.96 0.97 0.98 0.93 0.78 0.51 0.20 0.00 0.00 0.01 0.25 0.46 0.50 0.32 0.00 0.00 0.00 0.00 0.00 0.07 0.24 0.23 0.10 0.00 0.00 0.00 0.15 0.30 0.36 0.35 0.33 0.42 0.69 1.12 1.61 2.01 2.18 2.08 1.76 1.34 0.99 0.78 0.72 0.75 0.74 0.63 0.43 0.22 0.10 0.12 0.24 0.34 0.30 0.10 0.00 0.00 0.00 0.00 0.05 0.37 0.53 0.46 0.24 0.00 0.00 0.00 0.24 0.56 0.83 0.98 1.02 0.99 0.96 0.97 0.98 0.93 0.78 0.51 0.20 0.00 0.00 0.01 0.25 0.46 0.50 0.32 0.00 0.00 0.00 0.00 0.00 0.07 0.24 0.23 0.10 0.00 0.00 0.00 0.15 0.30 0.36 0.35 0.33 0.42 0.69 1.12 1.61 2.01 20.0 + 22.5 2.23 2.40 2.28 1.95 1.54 1.19 1.00 0.97 1.01 0.99 0.86 0.64 0.41 0.30 0.34 0.50 0.64 0.64 0.46 0.18 0.00 0.00 0.12 0.46 0.78 0.91 0.82 0.57 0.32 0.21 0.31 0.57 0.89 1.14 1.28 1.29 1.26 1.23 1.24 1.26 1.23 1.09 0.83 0.53 0.30 0.24 0.38 0.64 0.88 0.95 0.78 0.45 0.12 0.00 0.02 0.26 0.53 0.67 0.61 0.42 0.23 0.15 0.23 0.41 0.57 0.63 0.60 0.56 0.64 0.90 1.34 1.84 2.23 2.40 2.28 1.95 1.54 1.19 1.00 0.97 1.01 0.99 0.86 0.64 0.41 0.30 0.34 0.50 0.64 0.64 0.46 0.18 0.00 0.00 0.12 0.46 0.78 0.91 0.82 0.57 0.32 0.21 0.31 0.57 0.89 1.14 1.28 1.29 1.26 1.23 1.24 1.26 1.23 1.09 0.83 0.53 0.30 0.24 0.38 0.64 0.88 0.95 0.78 0.45 0.12 0.00 0.02 0.26 0.53 0.67 0.61 0.42 0.23 0.15 0.23 0.41 0.57 0.63 0.60 0.56 0.64 0.90 1.34 1.84 2.23 22.5 + 25.0 2.45 2.61 2.48 2.14 1.73 1.40 1.25 1.24 1.28 1.25 1.10 0.85 0.62 0.53 0.63 0.83 0.99 0.99 0.79 0.49 0.25 0.22 0.41 0.74 1.02 1.11 0.97 0.69 0.43 0.33 0.44 0.70 1.01 1.26 1.38 1.39 1.35 1.33 1.34 1.37 1.34 1.21 0.96 0.67 0.45 0.39 0.55 0.84 1.12 1.22 1.09 0.79 0.48 0.33 0.42 0.69 0.97 1.10 1.02 0.79 0.54 0.43 0.50 0.68 0.86 0.93 0.90 0.85 0.90 1.15 1.57 2.06 2.45 2.61 2.48 2.14 1.73 1.40 1.25 1.24 1.28 1.25 1.10 0.85 0.62 0.53 0.63 0.83 0.99 0.99 0.79 0.49 0.25 0.22 0.41 0.74 1.02 1.11 0.97 0.69 0.43 0.33 0.44 0.70 1.01 1.26 1.38 1.39 1.35 1.33 1.34 1.37 1.34 1.21 0.96 0.67 0.45 0.39 0.55 0.84 1.12 1.22 1.09 0.79 0.48 0.33 0.42 0.69 0.97 1.10 1.02 0.79 0.54 0.43 0.50 0.68 0.86 0.93 0.90 0.85 0.90 1.15 1.57 2.06 2.45 25.0 + 27.5 2.51 2.64 2.50 2.17 1.78 1.50 1.40 1.44 1.50 1.47 1.30 1.05 0.85 0.81 0.95 1.18 1.33 1.28 1.01 0.63 0.33 0.26 0.42 0.71 0.94 0.98 0.79 0.49 0.23 0.14 0.26 0.53 0.82 1.05 1.15 1.15 1.12 1.10 1.12 1.15 1.13 1.01 0.77 0.49 0.27 0.22 0.38 0.69 0.99 1.13 1.05 0.78 0.51 0.40 0.54 0.87 1.21 1.40 1.34 1.10 0.83 0.69 0.74 0.92 1.11 1.19 1.15 1.07 1.08 1.29 1.67 2.14 2.51 2.64 2.50 2.17 1.78 1.50 1.40 1.44 1.50 1.47 1.30 1.05 0.85 0.81 0.95 1.18 1.33 1.28 1.01 0.63 0.33 0.26 0.42 0.71 0.94 0.98 0.79 0.49 0.23 0.14 0.26 0.53 0.82 1.05 1.15 1.15 1.12 1.10 1.12 1.15 1.13 1.01 0.77 0.49 0.27 0.22 0.38 0.69 0.99 1.13 1.05 0.78 0.51 0.40 0.54 0.87 1.21 1.40 1.34 1.10 0.83 0.69 0.74 0.92 1.11 1.19 1.15 1.07 1.08 1.29 1.67 2.14 2.51 27.5 + 30.0 2.33 2.44 2.30 1.97 1.63 1.42 1.39 1.51 1.62 1.61 1.46 1.23 1.09 1.12 1.32 1.57 1.67 1.51 1.09 0.58 0.18 0.04 0.17 0.42 0.60 0.58 0.36 0.04 0.00 0.00 0.00 0.13 0.40 0.59 0.65 0.63 0.59 0.57 0.59 0.64 0.63 0.53 0.32 0.05 0.00 0.00 0.00 0.23 0.54 0.71 0.65 0.42 0.18 0.12 0.34 0.77 1.23 1.53 1.55 1.34 1.06 0.90 0.92 1.10 1.29 1.37 1.30 1.17 1.11 1.24 1.57 1.99 2.33 2.44 2.30 1.97 1.63 1.42 1.39 1.51 1.62 1.61 1.46 1.23 1.09 1.12 1.32 1.57 1.67 1.51 1.09 0.58 0.18 0.04 0.17 0.42 0.60 0.58 0.36 0.04 0.00 0.00 0.00 0.13 0.40 0.59 0.65 0.63 0.59 0.57 0.59 0.64 0.63 0.53 0.32 0.05 0.00 0.00 0.00 0.23 0.54 0.71 0.65 0.42 0.18 0.12 0.34 0.77 1.23 1.53 1.55 1.34 1.06 0.90 0.92 1.10 1.29 1.37 1.30 1.17 1.11 1.24 1.57 1.99 2.33 30.0 + 32.5 1.98 2.08 1.92 1.60 1.30 1.15 1.22 1.42 1.61 1.66 1.56 1.41 1.36 1.50 1.78 2.03 2.06 1.75 1.15 0.47 0.00 0.00 0.00 0.08 0.23 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.13 0.07 0.00 0.00 0.00 0.07 0.09 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.18 0.13 0.00 0.00 0.00 0.00 0.52 1.15 1.60 1.73 1.58 1.30 1.09 1.08 1.22 1.39 1.44 1.32 1.12 0.98 1.03 1.30 1.67 1.98 2.08 1.92 1.60 1.30 1.15 1.22 1.42 1.61 1.66 1.56 1.41 1.36 1.50 1.78 2.03 2.06 1.75 1.15 0.47 0.00 0.00 0.00 0.08 0.23 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.13 0.07 0.00 0.00 0.00 0.07 0.09 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.18 0.13 0.00 0.00 0.00 0.00 0.52 1.15 1.60 1.73 1.58 1.30 1.09 1.08 1.22 1.39 1.44 1.32 1.12 0.98 1.03 1.30 1.67 1.98 32.5 + 35.0 1.61 1.69 1.52 1.19 0.90 0.81 0.95 1.23 1.50 1.63 1.61 1.58 1.66 1.93 2.31 2.59 2.55 2.09 1.32 0.48 0.00 0.00 0.00 0.00 0.09 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.37 1.15 1.76 2.00 1.89 1.59 1.32 1.23 1.30 1.41 1.41 1.23 0.96 0.74 0.74 0.96 1.32 1.61 1.69 1.52 1.19 0.90 0.81 0.95 1.23 1.50 1.63 1.61 1.58 1.66 1.93 2.31 2.59 2.55 2.09 1.32 0.48 0.00 0.00 0.00 0.00 0.09 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.37 1.15 1.76 2.00 1.89 1.59 1.32 1.23 1.30 1.41 1.41 1.23 0.96 0.74 0.74 0.96 1.32 1.61 35.0 + 37.5 1.36 1.43 1.23 0.88 0.57 0.49 0.67 1.00 1.34 1.54 1.63 1.72 1.96 2.38 2.88 3.20 3.12 2.55 1.64 0.68 0.00 0.00 0.00 0.14 0.30 0.23 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.47 1.39 2.12 2.44 2.34 1.98 1.61 1.40 1.37 1.39 1.32 1.08 0.75 0.50 0.47 0.69 1.06 1.36 1.43 1.23 0.88 0.57 0.49 0.67 1.00 1.34 1.54 1.63 1.72 1.96 2.38 2.88 3.20 3.12 2.55 1.64 0.68 0.00 0.00 0.00 0.14 0.30 0.23 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.47 1.39 2.12 2.44 2.34 1.98 1.61 1.40 1.37 1.39 1.32 1.08 0.75 0.50 0.47 0.69 1.06 1.36 37.5 + 40.0 1.26 1.33 1.10 0.71 0.36 0.26 0.44 0.80 1.18 1.45 1.62 1.82 2.19 2.76 3.36 3.73 3.63 3.00 2.00 0.99 0.29 0.07 0.24 0.55 0.75 0.69 0.43 0.13 0.00 0.06 0.29 0.54 0.67 0.61 0.40 0.13 0.00 0.00 0.00 0.16 0.36 0.45 0.36 0.12 0.00 0.00 0.00 0.00 0.22 0.36 0.24 0.00 0.00 0.00 0.01 0.85 1.85 2.66 3.02 2.90 2.45 1.95 1.60 1.44 1.37 1.22 0.93 0.57 0.30 0.28 0.53 0.93 1.26 1.33 1.10 0.71 0.36 0.26 0.44 0.80 1.18 1.45 1.62 1.82 2.19 2.76 3.36 3.73 3.63 3.00 2.00 0.99 0.29 0.07 0.24 0.55 0.75 0.69 0.43 0.13 0.00 0.06 0.29 0.54 0.67 0.61 0.40 0.13 0.00 0.00 0.00 0.16 0.36 0.45 0.36 0.12 0.00 0.00 0.00 0.00 0.22 0.36 0.24 0.00 0.00 0.00 0.01 0.85 1.85 2.66 3.02 2.90 2.45 1.95 1.60 1.44 1.37 1.22 0.93 0.57 0.30 0.28 0.53 0.93 1.26 40.0 + 42.5 1.27 1.34 1.09 0.66 0.27 0.14 0.31 0.67 1.06 1.36 1.58 1.85 2.30 2.95 3.62 4.03 3.93 3.26 2.24 1.21 0.52 0.34 0.56 0.92 1.15 1.10 0.85 0.56 0.43 0.53 0.78 1.04 1.16 1.07 0.82 0.53 0.31 0.25 0.37 0.62 0.87 1.00 0.94 0.71 0.42 0.23 0.26 0.48 0.76 0.90 0.77 0.42 0.07 0.03 0.47 1.34 2.39 3.24 3.60 3.43 2.89 2.27 1.80 1.53 1.37 1.16 0.83 0.45 0.18 0.19 0.48 0.92 1.27 1.34 1.09 0.66 0.27 0.14 0.31 0.67 1.06 1.36 1.58 1.85 2.30 2.95 3.62 4.03 3.93 3.26 2.24 1.21 0.52 0.34 0.56 0.92 1.15 1.10 0.85 0.56 0.43 0.53 0.78 1.04 1.16 1.07 0.82 0.53 0.31 0.25 0.37 0.62 0.87 1.00 0.94 0.71 0.42 0.23 0.26 0.48 0.76 0.90 0.77 0.42 0.07 0.03 0.47 1.34 2.39 3.24 3.60 3.43 2.89 2.27 1.80 1.53 1.37 1.16 0.83 0.45 0.18 0.19 0.48 0.92 1.27 42.5 + 45.0 1.29 1.36 1.10 0.66 0.26 0.12 0.28 0.63 1.02 1.31 1.53 1.80 2.26 2.91 3.58 3.98 3.87 3.20 2.17 1.15 0.49 0.34 0.59 0.98 1.22 1.18 0.93 0.66 0.54 0.65 0.91 1.18 1.30 1.22 0.97 0.68 0.47 0.43 0.57 0.85 1.13 1.29 1.25 1.03 0.75 0.55 0.58 0.81 1.09 1.23 1.10 0.75 0.40 0.36 0.81 1.72 2.79 3.65 4.00 3.79 3.20 2.51 1.96 1.62 1.40 1.15 0.80 0.41 0.15 0.17 0.48 0.93 1.29 1.36 1.10 0.66 0.26 0.12 0.28 0.63 1.02 1.31 1.53 1.80 2.26 2.91 3.58 3.98 3.87 3.20 2.17 1.15 0.49 0.34 0.59 0.98 1.22 1.18 0.93 0.66 0.54 0.65 0.91 1.18 1.30 1.22 0.97 0.68 0.47 0.43 0.57 0.85 1.13 1.29 1.25 1.03 0.75 0.55 0.58 0.81 1.09 1.23 1.10 0.75 0.40 0.36 0.81 1.72 2.79 3.65 4.00 3.79 3.20 2.51 1.96 1.62 1.40 1.15 0.80 0.41 0.15 0.17 0.48 0.93 1.29 45.0 + 47.5 1.29 1.36 1.11 0.68 0.30 0.17 0.33 0.69 1.05 1.31 1.47 1.68 2.06 2.64 3.24 3.59 3.46 2.79 1.79 0.80 0.16 0.02 0.27 0.65 0.89 0.85 0.61 0.34 0.22 0.33 0.60 0.87 1.01 0.95 0.74 0.48 0.30 0.28 0.44 0.72 1.00 1.17 1.13 0.92 0.64 0.47 0.50 0.74 1.04 1.19 1.07 0.74 0.43 0.42 0.91 1.83 2.90 3.75 4.09 3.88 3.28 2.59 2.04 1.70 1.48 1.22 0.86 0.47 0.20 0.20 0.50 0.94 1.29 1.36 1.11 0.68 0.30 0.17 0.33 0.69 1.05 1.31 1.47 1.68 2.06 2.64 3.24 3.59 3.46 2.79 1.79 0.80 0.16 0.02 0.27 0.65 0.89 0.85 0.61 0.34 0.22 0.33 0.60 0.87 1.01 0.95 0.74 0.48 0.30 0.28 0.44 0.72 1.00 1.17 1.13 0.92 0.64 0.47 0.50 0.74 1.04 1.19 1.07 0.74 0.43 0.42 0.91 1.83 2.90 3.75 4.09 3.88 3.28 2.59 2.04 1.70 1.48 1.22 0.86 0.47 0.20 0.20 0.50 0.94 1.29 47.5 + 50.0 1.30 1.36 1.13 0.73 0.39 0.29 0.47 0.81 1.15 1.35 1.43 1.53 1.78 2.23 2.72 3.00 2.85 2.21 1.26 0.32 0.00 0.00 0.00 0.12 0.34 0.30 0.06 0.00 0.00 0.00 0.00 0.28 0.44 0.43 0.27 0.07 0.00 0.00 0.07 0.33 0.58 0.72 0.67 0.46 0.20 0.05 0.10 0.36 0.66 0.83 0.74 0.45 0.19 0.24 0.75 1.67 2.72 3.54 3.87 3.66 3.11 2.50 2.03 1.75 1.58 1.35 1.01 0.62 0.34 0.32 0.58 0.98 1.30 1.36 1.13 0.73 0.39 0.29 0.47 0.81 1.15 1.35 1.43 1.53 1.78 2.23 2.72 3.00 2.85 2.21 1.26 0.32 0.00 0.00 0.00 0.12 0.34 0.30 0.06 0.00 0.00 0.00 0.00 0.28 0.44 0.43 0.27 0.07 0.00 0.00 0.07 0.33 0.58 0.72 0.67 0.46 0.20 0.05 0.10 0.36 0.66 0.83 0.74 0.45 0.19 0.24 0.75 1.67 2.72 3.54 3.87 3.66 3.11 2.50 2.03 1.75 1.58 1.35 1.01 0.62 0.34 0.32 0.58 0.98 1.30 50.0 + 52.5 1.41 1.46 1.24 0.87 0.57 0.49 0.66 0.98 1.27 1.40 1.40 1.37 1.49 1.79 2.17 2.40 2.26 1.69 0.82 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.22 0.14 0.00 0.00 0.00 0.00 0.00 0.23 0.41 0.34 0.10 0.00 0.00 0.52 1.40 2.38 3.12 3.41 3.23 2.76 2.26 1.92 1.76 1.68 1.52 1.22 0.85 0.59 0.55 0.78 1.13 1.41 1.46 1.24 0.87 0.57 0.49 0.66 0.98 1.27 1.40 1.40 1.37 1.49 1.79 2.17 2.40 2.26 1.69 0.82 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.22 0.14 0.00 0.00 0.00 0.00 0.00 0.23 0.41 0.34 0.10 0.00 0.00 0.52 1.40 2.38 3.12 3.41 3.23 2.76 2.26 1.92 1.76 1.68 1.52 1.22 0.85 0.59 0.55 0.78 1.13 1.41 52.5 + 55.0 1.67 1.70 1.48 1.12 0.82 0.72 0.86 1.13 1.37 1.44 1.36 1.24 1.24 1.43 1.73 1.94 1.85 1.39 0.67 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.19 0.14 0.00 0.00 0.00 0.37 1.16 2.01 2.63 2.85 2.67 2.30 1.94 1.75 1.73 1.75 1.67 1.44 1.13 0.91 0.89 1.10 1.42 1.67 1.70 1.48 1.12 0.82 0.72 0.86 1.13 1.37 1.44 1.36 1.24 1.24 1.43 1.73 1.94 1.85 1.39 0.67 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.19 0.14 0.00 0.00 0.00 0.37 1.16 2.01 2.63 2.85 2.67 2.30 1.94 1.75 1.73 1.75 1.67 1.44 1.13 0.91 0.89 1.10 1.42 1.67 55.0 + 57.5 2.03 2.03 1.79 1.42 1.08 0.94 1.01 1.21 1.39 1.42 1.29 1.12 1.05 1.18 1.44 1.67 1.67 1.36 0.79 0.19 0.00 0.00 0.00 0.08 0.21 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.09 0.04 0.00 0.00 0.05 0.13 0.17 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.30 0.23 0.03 0.00 0.00 0.37 1.03 1.71 2.17 2.29 2.11 1.81 1.58 1.54 1.65 1.77 1.77 1.62 1.39 1.23 1.27 1.49 1.81 2.03 2.03 1.79 1.42 1.08 0.94 1.01 1.21 1.39 1.42 1.29 1.12 1.05 1.18 1.44 1.67 1.67 1.36 0.79 0.19 0.00 0.00 0.00 0.08 0.21 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.09 0.04 0.00 0.00 0.05 0.13 0.17 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.30 0.23 0.03 0.00 0.00 0.37 1.03 1.71 2.17 2.29 2.11 1.81 1.58 1.54 1.65 1.77 1.77 1.62 1.39 1.23 1.27 1.49 1.81 2.03 57.5 + 60.0 2.37 2.34 2.07 1.65 1.26 1.04 1.03 1.17 1.29 1.30 1.16 0.98 0.89 0.99 1.24 1.51 1.61 1.43 1.02 0.56 0.25 0.20 0.38 0.63 0.77 0.68 0.41 0.08 0.00 0.00 0.00 0.23 0.46 0.60 0.64 0.61 0.58 0.58 0.62 0.66 0.63 0.50 0.25 0.00 0.00 0.00 0.00 0.23 0.51 0.62 0.52 0.29 0.11 0.15 0.46 0.97 1.47 1.76 1.78 1.59 1.35 1.24 1.32 1.52 1.71 1.77 1.69 1.55 1.48 1.58 1.85 2.16 2.37 2.34 2.07 1.65 1.26 1.04 1.03 1.17 1.29 1.30 1.16 0.98 0.89 0.99 1.24 1.51 1.61 1.43 1.02 0.56 0.25 0.20 0.38 0.63 0.77 0.68 0.41 0.08 0.00 0.00 0.00 0.23 0.46 0.60 0.64 0.61 0.58 0.58 0.62 0.66 0.63 0.50 0.25 0.00 0.00 0.00 0.00 0.23 0.51 0.62 0.52 0.29 0.11 0.15 0.46 0.97 1.47 1.76 1.78 1.59 1.35 1.24 1.32 1.52 1.71 1.77 1.69 1.55 1.48 1.58 1.85 2.16 2.37 60.0 + 62.5 2.55 2.48 2.17 1.70 1.26 0.97 0.90 0.98 1.07 1.07 0.94 0.77 0.69 0.78 1.03 1.32 1.48 1.40 1.10 0.75 0.53 0.54 0.76 1.04 1.19 1.13 0.87 0.54 0.31 0.27 0.43 0.69 0.93 1.09 1.14 1.12 1.10 1.11 1.14 1.16 1.10 0.91 0.63 0.34 0.15 0.15 0.35 0.64 0.87 0.93 0.77 0.49 0.27 0.26 0.50 0.88 1.23 1.39 1.33 1.14 0.97 0.95 1.11 1.37 1.59 1.68 1.64 1.56 1.57 1.73 2.04 2.36 2.55 2.48 2.17 1.70 1.26 0.97 0.90 0.98 1.07 1.07 0.94 0.77 0.69 0.78 1.03 1.32 1.48 1.40 1.10 0.75 0.53 0.54 0.76 1.04 1.19 1.13 0.87 0.54 0.31 0.27 0.43 0.69 0.93 1.09 1.14 1.12 1.10 1.11 1.14 1.16 1.10 0.91 0.63 0.34 0.15 0.15 0.35 0.64 0.87 0.93 0.77 0.49 0.27 0.26 0.50 0.88 1.23 1.39 1.33 1.14 0.97 0.95 1.11 1.37 1.59 1.68 1.64 1.56 1.57 1.73 2.04 2.36 2.55 62.5 + 65.0 2.50 2.40 2.05 1.55 1.07 0.75 0.63 0.67 0.75 0.75 0.65 0.50 0.42 0.50 0.74 1.01 1.18 1.13 0.89 0.61 0.44 0.50 0.76 1.07 1.26 1.22 0.99 0.69 0.47 0.45 0.61 0.88 1.14 1.30 1.36 1.35 1.33 1.35 1.40 1.41 1.32 1.11 0.81 0.51 0.33 0.35 0.56 0.83 1.02 1.01 0.79 0.47 0.23 0.19 0.38 0.68 0.94 1.04 0.95 0.77 0.66 0.71 0.92 1.20 1.42 1.50 1.48 1.44 1.50 1.71 2.03 2.35 2.50 2.40 2.05 1.55 1.07 0.75 0.63 0.67 0.75 0.75 0.65 0.50 0.42 0.50 0.74 1.01 1.18 1.13 0.89 0.61 0.44 0.50 0.76 1.07 1.26 1.22 0.99 0.69 0.47 0.45 0.61 0.88 1.14 1.30 1.36 1.35 1.33 1.35 1.40 1.41 1.32 1.11 0.81 0.51 0.33 0.35 0.56 0.83 1.02 1.01 0.79 0.47 0.23 0.19 0.38 0.68 0.94 1.04 0.95 0.77 0.66 0.71 0.92 1.20 1.42 1.50 1.48 1.44 1.50 1.71 2.03 2.35 2.50 65.0 + 67.5 2.31 2.17 1.79 1.27 0.78 0.45 0.31 0.33 0.40 0.41 0.32 0.18 0.11 0.18 0.37 0.60 0.73 0.66 0.43 0.17 0.03 0.12 0.40 0.74 0.96 0.96 0.76 0.49 0.30 0.30 0.48 0.76 1.02 1.19 1.25 1.25 1.25 1.28 1.33 1.34 1.23 1.00 0.69 0.39 0.24 0.28 0.48 0.74 0.88 0.82 0.56 0.22 0.00 0.00 0.13 0.41 0.65 0.73 0.65 0.51 0.45 0.55 0.78 1.05 1.24 1.30 1.28 1.26 1.34 1.58 1.90 2.19 2.31 2.17 1.79 1.27 0.78 0.45 0.31 0.33 0.40 0.41 0.32 0.18 0.11 0.18 0.37 0.60 0.73 0.66 0.43 0.17 0.03 0.12 0.40 0.74 0.96 0.96 0.76 0.49 0.30 0.30 0.48 0.76 1.02 1.19 1.25 1.25 1.25 1.28 1.33 1.34 1.23 1.00 0.69 0.39 0.24 0.28 0.48 0.74 0.88 0.82 0.56 0.22 0.00 0.00 0.13 0.41 0.65 0.73 0.65 0.51 0.45 0.55 0.78 1.05 1.24 1.30 1.28 1.26 1.34 1.58 1.90 2.19 2.31 67.5 + 70.0 2.11 1.94 1.54 1.02 0.54 0.20 0.06 0.06 0.10 0.10 0.01 0.00 0.00 0.00 0.03 0.20 0.27 0.17 0.00 0.00 0.00 0.00 0.00 0.28 0.51 0.53 0.35 0.12 0.00 0.00 0.17 0.46 0.73 0.91 0.99 1.00 1.01 1.05 1.10 1.09 0.97 0.72 0.40 0.11 0.00 0.02 0.23 0.47 0.59 0.50 0.23 0.00 0.00 0.00 0.00 0.18 0.42 0.51 0.46 0.37 0.34 0.45 0.68 0.92 1.09 1.13 1.11 1.11 1.22 1.47 1.78 2.04 2.11 1.94 1.54 1.02 0.54 0.20 0.06 0.06 0.10 0.10 0.01 0.00 0.00 0.00 0.03 0.20 0.27 0.17 0.00 0.00 0.00 0.00 0.00 0.28 0.51 0.53 0.35 0.12 0.00 0.00 0.17 0.46 0.73 0.91 0.99 1.00 1.01 1.05 1.10 1.09 0.97 0.72 0.40 0.11 0.00 0.02 0.23 0.47 0.59 0.50 0.23 0.00 0.00 0.00 0.00 0.18 0.42 0.51 0.46 0.37 0.34 0.45 0.68 0.92 1.09 1.13 1.11 1.11 1.22 1.47 1.78 2.04 2.11 70.0 + 72.5 2.07 1.86 1.44 0.93 0.45 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.16 0.17 0.01 0.00 0.00 0.00 0.00 0.21 0.49 0.68 0.78 0.82 0.86 0.90 0.93 0.89 0.74 0.47 0.14 0.00 0.00 0.00 0.01 0.23 0.34 0.25 0.00 0.00 0.00 0.00 0.00 0.07 0.32 0.43 0.41 0.33 0.32 0.42 0.62 0.83 0.98 1.03 1.04 1.08 1.23 1.50 1.80 2.03 2.07 1.86 1.44 0.93 0.45 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.16 0.17 0.01 0.00 0.00 0.00 0.00 0.21 0.49 0.68 0.78 0.82 0.86 0.90 0.93 0.89 0.74 0.47 0.14 0.00 0.00 0.00 0.01 0.23 0.34 0.25 0.00 0.00 0.00 0.00 0.00 0.07 0.32 0.43 0.41 0.33 0.32 0.42 0.62 0.83 0.98 1.03 1.04 1.08 1.23 1.50 1.80 2.03 2.07 72.5 + 75.0 2.20 1.97 1.55 1.05 0.58 0.23 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.06 0.00 0.00 0.00 0.00 0.00 0.16 0.44 0.66 0.79 0.88 0.94 0.99 1.00 0.92 0.73 0.44 0.11 0.00 0.00 0.00 0.00 0.17 0.27 0.21 0.00 0.00 0.00 0.00 0.00 0.10 0.34 0.46 0.45 0.38 0.35 0.42 0.59 0.77 0.92 1.01 1.07 1.18 1.38 1.68 1.98 2.19 2.20 1.97 1.55 1.05 0.58 0.23 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.06 0.00 0.00 0.00 0.00 0.00 0.16 0.44 0.66 0.79 0.88 0.94 0.99 1.00 0.92 0.73 0.44 0.11 0.00 0.00 0.00 0.00 0.17 0.27 0.21 0.00 0.00 0.00 0.00 0.00 0.10 0.34 0.46 0.45 0.38 0.35 0.42 0.59 0.77 0.92 1.01 1.07 1.18 1.38 1.68 1.98 2.19 2.20 75.0 + 77.5 2.43 2.20 1.79 1.30 0.84 0.48 0.24 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.23 0.17 0.00 0.00 0.00 0.00 0.04 0.33 0.61 0.85 1.04 1.17 1.26 1.31 1.29 1.17 0.95 0.65 0.33 0.07 0.00 0.00 0.12 0.29 0.38 0.34 0.17 0.00 0.00 0.00 0.00 0.18 0.39 0.51 0.50 0.44 0.40 0.44 0.56 0.73 0.90 1.03 1.17 1.35 1.61 1.93 2.24 2.44 2.43 2.20 1.79 1.30 0.84 0.48 0.24 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.23 0.17 0.00 0.00 0.00 0.00 0.04 0.33 0.61 0.85 1.04 1.17 1.26 1.31 1.29 1.17 0.95 0.65 0.33 0.07 0.00 0.00 0.12 0.29 0.38 0.34 0.17 0.00 0.00 0.00 0.00 0.18 0.39 0.51 0.50 0.44 0.40 0.44 0.56 0.73 0.90 1.03 1.17 1.35 1.61 1.93 2.24 2.44 2.43 77.5 + 80.0 2.61 2.39 2.01 1.55 1.11 0.76 0.49 0.30 0.14 0.01 0.00 0.00 0.00 0.08 0.20 0.26 0.22 0.10 0.00 0.00 0.00 0.09 0.28 0.42 0.44 0.35 0.19 0.06 0.03 0.13 0.33 0.60 0.89 1.15 1.38 1.56 1.68 1.73 1.68 1.53 1.29 0.99 0.68 0.43 0.29 0.27 0.35 0.46 0.54 0.50 0.36 0.16 0.00 0.00 0.02 0.19 0.37 0.49 0.51 0.47 0.43 0.45 0.54 0.70 0.88 1.06 1.26 1.50 1.79 2.13 2.43 2.61 2.61 2.39 2.01 1.55 1.11 0.76 0.49 0.30 0.14 0.01 0.00 0.00 0.00 0.08 0.20 0.26 0.22 0.10 0.00 0.00 0.00 0.09 0.28 0.42 0.44 0.35 0.19 0.06 0.03 0.13 0.33 0.60 0.89 1.15 1.38 1.56 1.68 1.73 1.68 1.53 1.29 0.99 0.68 0.43 0.29 0.27 0.35 0.46 0.54 0.50 0.36 0.16 0.00 0.00 0.02 0.19 0.37 0.49 0.51 0.47 0.43 0.45 0.54 0.70 0.88 1.06 1.26 1.50 1.79 2.13 2.43 2.61 2.61 80.0 + 82.5 2.62 2.43 2.10 1.71 1.32 0.98 0.72 0.50 0.32 0.18 0.10 0.10 0.18 0.28 0.36 0.35 0.27 0.14 0.04 0.03 0.13 0.31 0.48 0.57 0.55 0.45 0.33 0.26 0.29 0.41 0.62 0.87 1.15 1.43 1.69 1.90 2.03 2.07 1.99 1.82 1.57 1.29 1.00 0.76 0.59 0.51 0.52 0.57 0.60 0.57 0.44 0.25 0.06 0.00 0.00 0.06 0.23 0.37 0.44 0.45 0.43 0.44 0.52 0.66 0.85 1.06 1.30 1.56 1.86 2.18 2.46 2.62 2.62 2.43 2.10 1.71 1.32 0.98 0.72 0.50 0.32 0.18 0.10 0.10 0.18 0.28 0.36 0.35 0.27 0.14 0.04 0.03 0.13 0.31 0.48 0.57 0.55 0.45 0.33 0.26 0.29 0.41 0.62 0.87 1.15 1.43 1.69 1.90 2.03 2.07 1.99 1.82 1.57 1.29 1.00 0.76 0.59 0.51 0.52 0.57 0.60 0.57 0.44 0.25 0.06 0.00 0.00 0.06 0.23 0.37 0.44 0.45 0.43 0.44 0.52 0.66 0.85 1.06 1.30 1.56 1.86 2.18 2.46 2.62 2.62 82.5 + 85.0 2.48 2.33 2.07 1.74 1.42 1.13 0.88 0.66 0.47 0.33 0.26 0.27 0.33 0.39 0.39 0.31 0.15 0.00 0.00 0.00 0.10 0.30 0.46 0.53 0.51 0.44 0.38 0.38 0.46 0.62 0.83 1.07 1.33 1.61 1.88 2.10 2.23 2.24 2.14 1.95 1.70 1.44 1.18 0.94 0.75 0.61 0.55 0.53 0.53 0.50 0.38 0.19 0.00 0.00 0.00 0.00 0.01 0.20 0.34 0.40 0.42 0.43 0.50 0.62 0.81 1.02 1.26 1.52 1.80 2.08 2.32 2.47 2.48 2.33 2.07 1.74 1.42 1.13 0.88 0.66 0.47 0.33 0.26 0.27 0.33 0.39 0.39 0.31 0.15 0.00 0.00 0.00 0.10 0.30 0.46 0.53 0.51 0.44 0.38 0.38 0.46 0.62 0.83 1.07 1.33 1.61 1.88 2.10 2.23 2.24 2.14 1.95 1.70 1.44 1.18 0.94 0.75 0.61 0.55 0.53 0.53 0.50 0.38 0.19 0.00 0.00 0.00 0.00 0.01 0.20 0.34 0.40 0.42 0.43 0.50 0.62 0.81 1.02 1.26 1.52 1.80 2.08 2.32 2.47 2.48 85.0 + 87.5 2.30 2.20 2.00 1.74 1.47 1.22 0.99 0.78 0.59 0.45 0.37 0.37 0.40 0.41 0.34 0.17 0.00 0.00 0.00 0.00 0.00 0.16 0.33 0.41 0.40 0.37 0.37 0.44 0.58 0.77 0.98 1.21 1.46 1.73 1.99 2.19 2.30 2.28 2.14 1.92 1.67 1.43 1.19 0.96 0.76 0.59 0.47 0.43 0.41 0.38 0.27 0.08 0.00 0.00 0.00 0.00 0.00 0.07 0.26 0.37 0.41 0.42 0.47 0.58 0.75 0.95 1.18 1.42 1.66 1.91 2.13 2.27 2.30 2.20 2.00 1.74 1.47 1.22 0.99 0.78 0.59 0.45 0.37 0.37 0.40 0.41 0.34 0.17 0.00 0.00 0.00 0.00 0.00 0.16 0.33 0.41 0.40 0.37 0.37 0.44 0.58 0.77 0.98 1.21 1.46 1.73 1.99 2.19 2.30 2.28 2.14 1.92 1.67 1.43 1.19 0.96 0.76 0.59 0.47 0.43 0.41 0.38 0.27 0.08 0.00 0.00 0.00 0.00 0.00 0.07 0.26 0.37 0.41 0.42 0.47 0.58 0.75 0.95 1.18 1.42 1.66 1.91 2.13 2.27 2.30 87.5 + 90.0 2.22 2.16 2.00 1.78 1.54 1.31 1.08 0.87 0.68 0.53 0.44 0.41 0.41 0.38 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.40 0.51 0.68 0.89 1.10 1.33 1.57 1.83 2.07 2.24 2.31 2.24 2.07 1.83 1.57 1.33 1.10 0.89 0.68 0.51 0.40 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.38 0.41 0.41 0.44 0.53 0.68 0.87 1.08 1.31 1.54 1.78 2.00 2.16 2.22 2.16 2.00 1.78 1.54 1.31 1.08 0.87 0.68 0.53 0.44 0.41 0.41 0.38 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.40 0.51 0.68 0.89 1.10 1.33 1.57 1.83 2.07 2.24 2.31 2.24 2.07 1.83 1.57 1.33 1.10 0.89 0.68 0.51 0.40 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.38 0.41 0.41 0.44 0.53 0.68 0.87 1.08 1.31 1.54 1.78 2.00 2.16 2.22 90.0 + + 90.0 DEGREE - PHI2-SECTION ( FMAX ABS = 3.88 FMAX-I = 3.88 ) PHI2 = 0. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 0.0 + 2.5 2.31 2.24 2.07 1.83 1.57 1.33 1.10 0.89 0.68 0.51 0.40 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.38 0.41 0.41 0.44 0.53 0.68 0.87 1.08 1.31 1.54 1.78 2.00 2.16 2.22 2.16 2.00 1.78 1.54 1.31 1.08 0.87 0.68 0.53 0.44 0.41 0.41 0.38 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.40 0.51 0.68 0.89 1.10 1.33 1.57 1.83 2.07 2.24 2.31 2.24 2.07 1.83 1.57 1.33 1.10 0.89 0.68 0.51 0.40 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.38 0.41 0.41 0.44 0.53 0.68 0.87 1.08 1.31 1.54 1.78 2.00 2.16 2.22 2.16 2.00 1.78 1.54 1.31 1.08 0.87 0.68 0.53 0.44 0.41 0.41 0.38 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.40 0.51 0.68 0.89 1.10 1.33 1.57 1.83 2.07 2.24 2.31 2.5 + 5.0 2.47 2.40 2.18 1.89 1.58 1.30 1.05 0.82 0.60 0.42 0.30 0.26 0.27 0.29 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.45 0.48 0.44 0.42 0.46 0.56 0.74 0.96 1.21 1.46 1.71 1.94 2.09 2.14 2.09 1.94 1.71 1.46 1.21 0.96 0.74 0.56 0.46 0.42 0.44 0.48 0.45 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.29 0.27 0.26 0.30 0.42 0.60 0.82 1.05 1.30 1.58 1.89 2.18 2.40 2.47 2.40 2.18 1.89 1.58 1.30 1.05 0.82 0.60 0.42 0.30 0.26 0.27 0.29 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.45 0.48 0.44 0.42 0.46 0.56 0.74 0.96 1.21 1.46 1.71 1.94 2.09 2.14 2.09 1.94 1.71 1.46 1.21 0.96 0.74 0.56 0.46 0.42 0.44 0.48 0.45 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.29 0.27 0.26 0.30 0.42 0.60 0.82 1.05 1.30 1.58 1.89 2.18 2.40 2.47 5.0 + 7.5 2.60 2.50 2.24 1.89 1.53 1.20 0.93 0.70 0.49 0.31 0.17 0.12 0.14 0.20 0.23 0.19 0.08 0.00 0.00 0.00 0.00 0.11 0.31 0.44 0.46 0.40 0.32 0.28 0.33 0.49 0.72 0.99 1.27 1.53 1.75 1.88 1.93 1.88 1.75 1.53 1.27 0.99 0.72 0.49 0.33 0.28 0.32 0.40 0.46 0.44 0.31 0.11 0.00 0.00 0.00 0.00 0.08 0.19 0.23 0.20 0.14 0.12 0.17 0.31 0.49 0.70 0.93 1.20 1.53 1.89 2.24 2.50 2.60 2.50 2.24 1.89 1.53 1.20 0.93 0.70 0.49 0.31 0.17 0.12 0.14 0.20 0.23 0.19 0.08 0.00 0.00 0.00 0.00 0.11 0.31 0.44 0.46 0.40 0.32 0.28 0.33 0.49 0.72 0.99 1.27 1.53 1.75 1.88 1.93 1.88 1.75 1.53 1.27 0.99 0.72 0.49 0.33 0.28 0.32 0.40 0.46 0.44 0.31 0.11 0.00 0.00 0.00 0.00 0.08 0.19 0.23 0.20 0.14 0.12 0.17 0.31 0.49 0.70 0.93 1.20 1.53 1.89 2.24 2.50 2.60 7.5 + 10.0 2.57 2.46 2.17 1.77 1.36 1.02 0.76 0.55 0.37 0.19 0.05 0.00 0.00 0.06 0.15 0.17 0.08 0.00 0.00 0.00 0.00 0.00 0.13 0.29 0.33 0.25 0.11 0.01 0.00 0.13 0.37 0.67 0.97 1.23 1.42 1.53 1.57 1.53 1.42 1.23 0.97 0.67 0.37 0.13 0.00 0.01 0.11 0.25 0.33 0.29 0.13 0.00 0.00 0.00 0.00 0.00 0.08 0.17 0.15 0.06 0.00 0.00 0.05 0.19 0.37 0.55 0.76 1.02 1.36 1.77 2.17 2.46 2.57 2.46 2.17 1.77 1.36 1.02 0.76 0.55 0.37 0.19 0.05 0.00 0.00 0.06 0.15 0.17 0.08 0.00 0.00 0.00 0.00 0.00 0.13 0.29 0.33 0.25 0.11 0.01 0.00 0.13 0.37 0.67 0.97 1.23 1.42 1.53 1.57 1.53 1.42 1.23 0.97 0.67 0.37 0.13 0.00 0.01 0.11 0.25 0.33 0.29 0.13 0.00 0.00 0.00 0.00 0.00 0.08 0.17 0.15 0.06 0.00 0.00 0.05 0.19 0.37 0.55 0.76 1.02 1.36 1.77 2.17 2.46 2.57 10.0 + 12.5 2.40 2.28 1.96 1.53 1.11 0.78 0.56 0.41 0.28 0.13 0.00 0.00 0.00 0.00 0.02 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.03 0.34 0.65 0.89 1.05 1.13 1.15 1.13 1.05 0.89 0.65 0.34 0.03 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.02 0.00 0.00 0.00 0.00 0.13 0.28 0.41 0.56 0.78 1.11 1.53 1.96 2.28 2.40 2.28 1.96 1.53 1.11 0.78 0.56 0.41 0.28 0.13 0.00 0.00 0.00 0.00 0.02 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.03 0.34 0.65 0.89 1.05 1.13 1.15 1.13 1.05 0.89 0.65 0.34 0.03 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.02 0.00 0.00 0.00 0.00 0.13 0.28 0.41 0.56 0.78 1.11 1.53 1.96 2.28 2.40 12.5 + 15.0 2.19 2.07 1.73 1.29 0.87 0.58 0.42 0.34 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.47 0.68 0.79 0.83 0.84 0.83 0.79 0.68 0.47 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.34 0.42 0.58 0.87 1.29 1.73 2.07 2.19 2.07 1.73 1.29 0.87 0.58 0.42 0.34 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.47 0.68 0.79 0.83 0.84 0.83 0.79 0.68 0.47 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.34 0.42 0.58 0.87 1.29 1.73 2.07 2.19 15.0 + 17.5 2.10 1.96 1.61 1.17 0.76 0.50 0.39 0.37 0.35 0.26 0.09 0.00 0.00 0.00 0.00 0.05 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.10 0.00 0.00 0.00 0.00 0.00 0.24 0.53 0.70 0.77 0.78 0.77 0.78 0.77 0.70 0.53 0.24 0.00 0.00 0.00 0.00 0.00 0.10 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.05 0.00 0.00 0.00 0.00 0.09 0.26 0.35 0.37 0.39 0.50 0.76 1.17 1.61 1.96 2.10 1.96 1.61 1.17 0.76 0.50 0.39 0.37 0.35 0.26 0.09 0.00 0.00 0.00 0.00 0.05 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.10 0.00 0.00 0.00 0.00 0.00 0.24 0.53 0.70 0.77 0.78 0.77 0.78 0.77 0.70 0.53 0.24 0.00 0.00 0.00 0.00 0.00 0.10 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.05 0.00 0.00 0.00 0.00 0.09 0.26 0.35 0.37 0.39 0.50 0.76 1.17 1.61 1.96 2.10 17.5 + 20.0 2.19 2.05 1.69 1.24 0.84 0.59 0.52 0.54 0.55 0.46 0.28 0.09 0.00 0.02 0.15 0.27 0.26 0.08 0.00 0.00 0.00 0.00 0.01 0.34 0.51 0.46 0.24 0.00 0.00 0.00 0.22 0.53 0.80 0.95 0.99 0.97 0.96 0.97 0.99 0.95 0.80 0.53 0.22 0.00 0.00 0.00 0.24 0.46 0.51 0.34 0.01 0.00 0.00 0.00 0.00 0.08 0.26 0.27 0.15 0.02 0.00 0.09 0.28 0.46 0.55 0.54 0.52 0.59 0.84 1.24 1.69 2.05 2.19 2.05 1.69 1.24 0.84 0.59 0.52 0.54 0.55 0.46 0.28 0.09 0.00 0.02 0.15 0.27 0.26 0.08 0.00 0.00 0.00 0.00 0.01 0.34 0.51 0.46 0.24 0.00 0.00 0.00 0.22 0.53 0.80 0.95 0.99 0.97 0.96 0.97 0.99 0.95 0.80 0.53 0.22 0.00 0.00 0.00 0.24 0.46 0.51 0.34 0.01 0.00 0.00 0.00 0.00 0.08 0.26 0.27 0.15 0.02 0.00 0.09 0.28 0.46 0.55 0.54 0.52 0.59 0.84 1.24 1.69 2.05 2.19 20.0 + 22.5 2.42 2.28 1.91 1.45 1.05 0.82 0.77 0.80 0.81 0.71 0.52 0.31 0.22 0.28 0.45 0.62 0.65 0.49 0.21 0.00 0.00 0.12 0.46 0.78 0.93 0.85 0.61 0.34 0.22 0.30 0.55 0.86 1.12 1.25 1.28 1.24 1.22 1.24 1.28 1.25 1.12 0.86 0.55 0.30 0.22 0.34 0.61 0.85 0.93 0.78 0.46 0.12 0.00 0.00 0.21 0.49 0.65 0.62 0.45 0.28 0.22 0.31 0.52 0.71 0.81 0.80 0.77 0.82 1.05 1.45 1.91 2.28 2.42 2.28 1.91 1.45 1.05 0.82 0.77 0.80 0.81 0.71 0.52 0.31 0.22 0.28 0.45 0.62 0.65 0.49 0.21 0.00 0.00 0.12 0.46 0.78 0.93 0.85 0.61 0.34 0.22 0.30 0.55 0.86 1.12 1.25 1.28 1.24 1.22 1.24 1.28 1.25 1.12 0.86 0.55 0.30 0.22 0.34 0.61 0.85 0.93 0.78 0.46 0.12 0.00 0.00 0.21 0.49 0.65 0.62 0.45 0.28 0.22 0.31 0.52 0.71 0.81 0.80 0.77 0.82 1.05 1.45 1.91 2.28 2.42 22.5 + 25.0 2.64 2.50 2.12 1.67 1.28 1.08 1.05 1.09 1.09 0.97 0.76 0.55 0.47 0.57 0.80 1.00 1.04 0.87 0.58 0.33 0.27 0.44 0.76 1.06 1.17 1.04 0.77 0.49 0.36 0.44 0.68 0.99 1.23 1.36 1.38 1.34 1.32 1.34 1.38 1.36 1.23 0.99 0.68 0.44 0.36 0.49 0.77 1.04 1.17 1.06 0.76 0.44 0.27 0.33 0.58 0.87 1.04 1.00 0.80 0.57 0.47 0.55 0.76 0.97 1.09 1.09 1.05 1.08 1.28 1.67 2.12 2.50 2.64 2.50 2.12 1.67 1.28 1.08 1.05 1.09 1.09 0.97 0.76 0.55 0.47 0.57 0.80 1.00 1.04 0.87 0.58 0.33 0.27 0.44 0.76 1.06 1.17 1.04 0.77 0.49 0.36 0.44 0.68 0.99 1.23 1.36 1.38 1.34 1.32 1.34 1.38 1.36 1.23 0.99 0.68 0.44 0.36 0.49 0.77 1.04 1.17 1.06 0.76 0.44 0.27 0.33 0.58 0.87 1.04 1.00 0.80 0.57 0.47 0.55 0.76 0.97 1.09 1.09 1.05 1.08 1.28 1.67 2.12 2.50 2.64 25.0 + 27.5 2.67 2.53 2.17 1.74 1.40 1.24 1.26 1.33 1.33 1.20 0.97 0.77 0.72 0.87 1.12 1.32 1.33 1.09 0.73 0.42 0.31 0.45 0.74 0.99 1.05 0.89 0.58 0.29 0.17 0.25 0.50 0.79 1.02 1.14 1.15 1.11 1.09 1.11 1.15 1.14 1.02 0.79 0.50 0.25 0.17 0.29 0.58 0.89 1.05 0.99 0.74 0.45 0.31 0.42 0.73 1.09 1.33 1.32 1.12 0.87 0.72 0.77 0.97 1.20 1.33 1.33 1.26 1.24 1.40 1.74 2.17 2.53 2.67 2.53 2.17 1.74 1.40 1.24 1.26 1.33 1.33 1.20 0.97 0.77 0.72 0.87 1.12 1.32 1.33 1.09 0.73 0.42 0.31 0.45 0.74 0.99 1.05 0.89 0.58 0.29 0.17 0.25 0.50 0.79 1.02 1.14 1.15 1.11 1.09 1.11 1.15 1.14 1.02 0.79 0.50 0.25 0.17 0.29 0.58 0.89 1.05 0.99 0.74 0.45 0.31 0.42 0.73 1.09 1.33 1.32 1.12 0.87 0.72 0.77 0.97 1.20 1.33 1.33 1.26 1.24 1.40 1.74 2.17 2.53 2.67 27.5 + 30.0 2.47 2.33 1.99 1.60 1.32 1.24 1.33 1.45 1.47 1.35 1.13 0.96 0.97 1.15 1.42 1.58 1.49 1.13 0.64 0.22 0.04 0.14 0.39 0.61 0.63 0.43 0.11 0.00 0.00 0.00 0.07 0.34 0.55 0.63 0.62 0.58 0.55 0.58 0.62 0.63 0.55 0.34 0.07 0.00 0.00 0.00 0.11 0.43 0.63 0.61 0.39 0.14 0.04 0.22 0.64 1.13 1.49 1.58 1.42 1.15 0.97 0.96 1.13 1.35 1.47 1.45 1.33 1.24 1.32 1.60 1.99 2.33 2.47 2.33 1.99 1.60 1.32 1.24 1.33 1.45 1.47 1.35 1.13 0.96 0.97 1.15 1.42 1.58 1.49 1.13 0.64 0.22 0.04 0.14 0.39 0.61 0.63 0.43 0.11 0.00 0.00 0.00 0.07 0.34 0.55 0.63 0.62 0.58 0.55 0.58 0.62 0.63 0.55 0.34 0.07 0.00 0.00 0.00 0.11 0.43 0.63 0.61 0.39 0.14 0.04 0.22 0.64 1.13 1.49 1.58 1.42 1.15 0.97 0.96 1.13 1.35 1.47 1.45 1.33 1.24 1.32 1.60 1.99 2.33 2.47 30.0 + 32.5 2.08 1.95 1.63 1.28 1.07 1.07 1.24 1.43 1.51 1.43 1.26 1.15 1.23 1.48 1.75 1.85 1.63 1.10 0.44 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.44 1.10 1.63 1.85 1.75 1.48 1.23 1.15 1.26 1.43 1.51 1.43 1.24 1.07 1.07 1.28 1.63 1.95 2.08 1.95 1.63 1.28 1.07 1.07 1.24 1.43 1.51 1.43 1.26 1.15 1.23 1.48 1.75 1.85 1.63 1.10 0.44 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.44 1.10 1.63 1.85 1.75 1.48 1.23 1.15 1.26 1.43 1.51 1.43 1.24 1.07 1.07 1.28 1.63 1.95 2.08 32.5 + 35.0 1.67 1.54 1.22 0.89 0.72 0.79 1.04 1.31 1.46 1.44 1.35 1.35 1.54 1.87 2.18 2.22 1.86 1.17 0.34 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.34 1.17 1.86 2.22 2.18 1.87 1.54 1.35 1.35 1.44 1.46 1.31 1.04 0.79 0.72 0.89 1.22 1.54 1.67 1.54 1.22 0.89 0.72 0.79 1.04 1.31 1.46 1.44 1.35 1.35 1.54 1.87 2.18 2.22 1.86 1.17 0.34 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.34 1.17 1.86 2.22 2.18 1.87 1.54 1.35 1.35 1.44 1.46 1.31 1.04 0.79 0.72 0.89 1.22 1.54 1.67 35.0 + 37.5 1.37 1.23 0.90 0.55 0.39 0.50 0.80 1.13 1.35 1.42 1.44 1.57 1.89 2.34 2.70 2.72 2.27 1.43 0.48 0.00 0.00 0.00 0.00 0.02 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.02 0.00 0.00 0.00 0.00 0.48 1.43 2.27 2.72 2.70 2.34 1.89 1.57 1.44 1.42 1.35 1.13 0.80 0.50 0.39 0.55 0.90 1.23 1.37 1.23 0.90 0.55 0.39 0.50 0.80 1.13 1.35 1.42 1.44 1.57 1.89 2.34 2.70 2.72 2.27 1.43 0.48 0.00 0.00 0.00 0.00 0.02 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.02 0.00 0.00 0.00 0.00 0.48 1.43 2.27 2.72 2.70 2.34 1.89 1.57 1.44 1.42 1.35 1.13 0.80 0.50 0.39 0.55 0.90 1.23 1.37 37.5 + 40.0 1.24 1.09 0.72 0.34 0.15 0.26 0.58 0.95 1.23 1.38 1.51 1.78 2.25 2.82 3.24 3.27 2.76 1.84 0.82 0.04 0.00 0.00 0.18 0.46 0.49 0.29 0.00 0.00 0.00 0.03 0.31 0.50 0.51 0.35 0.11 0.00 0.00 0.00 0.11 0.35 0.51 0.50 0.31 0.03 0.00 0.00 0.00 0.29 0.49 0.46 0.18 0.00 0.00 0.04 0.82 1.84 2.76 3.27 3.24 2.82 2.25 1.78 1.51 1.38 1.23 0.95 0.58 0.26 0.15 0.34 0.72 1.09 1.24 1.09 0.72 0.34 0.15 0.26 0.58 0.95 1.23 1.38 1.51 1.78 2.25 2.82 3.24 3.27 2.76 1.84 0.82 0.04 0.00 0.00 0.18 0.46 0.49 0.29 0.00 0.00 0.00 0.03 0.31 0.50 0.51 0.35 0.11 0.00 0.00 0.00 0.11 0.35 0.51 0.50 0.31 0.03 0.00 0.00 0.00 0.29 0.49 0.46 0.18 0.00 0.00 0.04 0.82 1.84 2.76 3.27 3.24 2.82 2.25 1.78 1.51 1.38 1.23 0.95 0.58 0.26 0.15 0.34 0.72 1.09 1.24 40.0 + 42.5 1.23 1.06 0.66 0.24 0.02 0.11 0.44 0.83 1.15 1.36 1.57 1.93 2.51 3.17 3.67 3.71 3.18 2.23 1.17 0.37 0.07 0.23 0.61 0.92 0.98 0.78 0.49 0.31 0.35 0.58 0.86 1.03 1.01 0.81 0.52 0.27 0.18 0.27 0.52 0.81 1.01 1.03 0.86 0.58 0.35 0.31 0.49 0.78 0.98 0.92 0.61 0.23 0.07 0.37 1.17 2.23 3.18 3.71 3.67 3.17 2.51 1.93 1.57 1.36 1.15 0.83 0.44 0.11 0.02 0.24 0.66 1.06 1.23 1.06 0.66 0.24 0.02 0.11 0.44 0.83 1.15 1.36 1.57 1.93 2.51 3.17 3.67 3.71 3.18 2.23 1.17 0.37 0.07 0.23 0.61 0.92 0.98 0.78 0.49 0.31 0.35 0.58 0.86 1.03 1.01 0.81 0.52 0.27 0.18 0.27 0.52 0.81 1.01 1.03 0.86 0.58 0.35 0.31 0.49 0.78 0.98 0.92 0.61 0.23 0.07 0.37 1.17 2.23 3.18 3.71 3.67 3.17 2.51 1.93 1.57 1.36 1.15 0.83 0.44 0.11 0.02 0.24 0.66 1.06 1.23 42.5 + 45.0 1.23 1.06 0.65 0.21 0.00 0.06 0.39 0.79 1.11 1.35 1.59 1.99 2.61 3.31 3.82 3.88 3.35 2.38 1.31 0.52 0.22 0.40 0.80 1.12 1.18 0.98 0.70 0.52 0.56 0.80 1.08 1.26 1.22 1.00 0.69 0.44 0.34 0.44 0.69 1.00 1.22 1.26 1.08 0.80 0.56 0.52 0.70 0.98 1.18 1.12 0.80 0.40 0.22 0.52 1.31 2.38 3.35 3.88 3.82 3.31 2.61 1.99 1.59 1.35 1.11 0.79 0.39 0.06 0.00 0.21 0.65 1.06 1.23 1.06 0.65 0.21 0.00 0.06 0.39 0.79 1.11 1.35 1.59 1.99 2.61 3.31 3.82 3.88 3.35 2.38 1.31 0.52 0.22 0.40 0.80 1.12 1.18 0.98 0.70 0.52 0.56 0.80 1.08 1.26 1.22 1.00 0.69 0.44 0.34 0.44 0.69 1.00 1.22 1.26 1.08 0.80 0.56 0.52 0.70 0.98 1.18 1.12 0.80 0.40 0.22 0.52 1.31 2.38 3.35 3.88 3.82 3.31 2.61 1.99 1.59 1.35 1.11 0.79 0.39 0.06 0.00 0.21 0.65 1.06 1.23 45.0 + 47.5 1.23 1.06 0.66 0.24 0.02 0.11 0.44 0.83 1.15 1.36 1.57 1.93 2.51 3.17 3.67 3.71 3.18 2.23 1.17 0.37 0.07 0.23 0.61 0.92 0.98 0.78 0.49 0.31 0.35 0.58 0.86 1.03 1.01 0.81 0.52 0.27 0.18 0.27 0.52 0.81 1.01 1.03 0.86 0.58 0.35 0.31 0.49 0.78 0.98 0.92 0.61 0.23 0.07 0.37 1.17 2.23 3.18 3.71 3.67 3.17 2.51 1.93 1.57 1.36 1.15 0.83 0.44 0.11 0.02 0.24 0.66 1.06 1.23 1.06 0.66 0.24 0.02 0.11 0.44 0.83 1.15 1.36 1.57 1.93 2.51 3.17 3.67 3.71 3.18 2.23 1.17 0.37 0.07 0.23 0.61 0.92 0.98 0.78 0.49 0.31 0.35 0.58 0.86 1.03 1.01 0.81 0.52 0.27 0.18 0.27 0.52 0.81 1.01 1.03 0.86 0.58 0.35 0.31 0.49 0.78 0.98 0.92 0.61 0.23 0.07 0.37 1.17 2.23 3.18 3.71 3.67 3.17 2.51 1.93 1.57 1.36 1.15 0.83 0.44 0.11 0.02 0.24 0.66 1.06 1.23 47.5 + 50.0 1.24 1.09 0.72 0.34 0.15 0.26 0.58 0.95 1.23 1.38 1.51 1.78 2.25 2.82 3.24 3.27 2.76 1.84 0.82 0.04 0.00 0.00 0.18 0.46 0.49 0.29 0.00 0.00 0.00 0.03 0.31 0.50 0.51 0.35 0.11 0.00 0.00 0.00 0.11 0.35 0.51 0.50 0.31 0.03 0.00 0.00 0.00 0.29 0.49 0.46 0.18 0.00 0.00 0.04 0.82 1.84 2.76 3.27 3.24 2.82 2.25 1.78 1.51 1.38 1.23 0.95 0.58 0.26 0.15 0.34 0.72 1.09 1.24 1.09 0.72 0.34 0.15 0.26 0.58 0.95 1.23 1.38 1.51 1.78 2.25 2.82 3.24 3.27 2.76 1.84 0.82 0.04 0.00 0.00 0.18 0.46 0.49 0.29 0.00 0.00 0.00 0.03 0.31 0.50 0.51 0.35 0.11 0.00 0.00 0.00 0.11 0.35 0.51 0.50 0.31 0.03 0.00 0.00 0.00 0.29 0.49 0.46 0.18 0.00 0.00 0.04 0.82 1.84 2.76 3.27 3.24 2.82 2.25 1.78 1.51 1.38 1.23 0.95 0.58 0.26 0.15 0.34 0.72 1.09 1.24 50.0 + 52.5 1.37 1.23 0.90 0.55 0.39 0.50 0.80 1.13 1.35 1.42 1.44 1.57 1.89 2.34 2.70 2.72 2.27 1.43 0.48 0.00 0.00 0.00 0.00 0.02 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.02 0.00 0.00 0.00 0.00 0.48 1.43 2.27 2.72 2.70 2.34 1.89 1.57 1.44 1.42 1.35 1.13 0.80 0.50 0.39 0.55 0.90 1.23 1.37 1.23 0.90 0.55 0.39 0.50 0.80 1.13 1.35 1.42 1.44 1.57 1.89 2.34 2.70 2.72 2.27 1.43 0.48 0.00 0.00 0.00 0.00 0.02 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.02 0.00 0.00 0.00 0.00 0.48 1.43 2.27 2.72 2.70 2.34 1.89 1.57 1.44 1.42 1.35 1.13 0.80 0.50 0.39 0.55 0.90 1.23 1.37 52.5 + 55.0 1.67 1.54 1.22 0.89 0.72 0.79 1.04 1.31 1.46 1.44 1.35 1.35 1.54 1.87 2.18 2.22 1.86 1.17 0.34 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.34 1.17 1.86 2.22 2.18 1.87 1.54 1.35 1.35 1.44 1.46 1.31 1.04 0.79 0.72 0.89 1.22 1.54 1.67 1.54 1.22 0.89 0.72 0.79 1.04 1.31 1.46 1.44 1.35 1.35 1.54 1.87 2.18 2.22 1.86 1.17 0.34 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.34 1.17 1.86 2.22 2.18 1.87 1.54 1.35 1.35 1.44 1.46 1.31 1.04 0.79 0.72 0.89 1.22 1.54 1.67 55.0 + 57.5 2.08 1.95 1.63 1.28 1.07 1.07 1.24 1.43 1.51 1.43 1.26 1.15 1.23 1.48 1.75 1.85 1.63 1.10 0.44 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.44 1.10 1.63 1.85 1.75 1.48 1.23 1.15 1.26 1.43 1.51 1.43 1.24 1.07 1.07 1.28 1.63 1.95 2.08 1.95 1.63 1.28 1.07 1.07 1.24 1.43 1.51 1.43 1.26 1.15 1.23 1.48 1.75 1.85 1.63 1.10 0.44 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.44 1.10 1.63 1.85 1.75 1.48 1.23 1.15 1.26 1.43 1.51 1.43 1.24 1.07 1.07 1.28 1.63 1.95 2.08 57.5 + 60.0 2.47 2.33 1.99 1.60 1.32 1.24 1.33 1.45 1.47 1.35 1.13 0.96 0.97 1.15 1.42 1.58 1.49 1.13 0.64 0.22 0.04 0.14 0.39 0.61 0.63 0.43 0.11 0.00 0.00 0.00 0.07 0.34 0.55 0.63 0.62 0.58 0.55 0.58 0.62 0.63 0.55 0.34 0.07 0.00 0.00 0.00 0.11 0.43 0.63 0.61 0.39 0.14 0.04 0.22 0.64 1.13 1.49 1.58 1.42 1.15 0.97 0.96 1.13 1.35 1.47 1.45 1.33 1.24 1.32 1.60 1.99 2.33 2.47 2.33 1.99 1.60 1.32 1.24 1.33 1.45 1.47 1.35 1.13 0.96 0.97 1.15 1.42 1.58 1.49 1.13 0.64 0.22 0.04 0.14 0.39 0.61 0.63 0.43 0.11 0.00 0.00 0.00 0.07 0.34 0.55 0.63 0.62 0.58 0.55 0.58 0.62 0.63 0.55 0.34 0.07 0.00 0.00 0.00 0.11 0.43 0.63 0.61 0.39 0.14 0.04 0.22 0.64 1.13 1.49 1.58 1.42 1.15 0.97 0.96 1.13 1.35 1.47 1.45 1.33 1.24 1.32 1.60 1.99 2.33 2.47 60.0 + 62.5 2.67 2.53 2.17 1.74 1.40 1.24 1.26 1.33 1.33 1.20 0.97 0.77 0.72 0.87 1.12 1.32 1.33 1.09 0.73 0.42 0.31 0.45 0.74 0.99 1.05 0.89 0.58 0.29 0.17 0.25 0.50 0.79 1.02 1.14 1.15 1.11 1.09 1.11 1.15 1.14 1.02 0.79 0.50 0.25 0.17 0.29 0.58 0.89 1.05 0.99 0.74 0.45 0.31 0.42 0.73 1.09 1.33 1.32 1.12 0.87 0.72 0.77 0.97 1.20 1.33 1.33 1.26 1.24 1.40 1.74 2.17 2.53 2.67 2.53 2.17 1.74 1.40 1.24 1.26 1.33 1.33 1.20 0.97 0.77 0.72 0.87 1.12 1.32 1.33 1.09 0.73 0.42 0.31 0.45 0.74 0.99 1.05 0.89 0.58 0.29 0.17 0.25 0.50 0.79 1.02 1.14 1.15 1.11 1.09 1.11 1.15 1.14 1.02 0.79 0.50 0.25 0.17 0.29 0.58 0.89 1.05 0.99 0.74 0.45 0.31 0.42 0.73 1.09 1.33 1.32 1.12 0.87 0.72 0.77 0.97 1.20 1.33 1.33 1.26 1.24 1.40 1.74 2.17 2.53 2.67 62.5 + 65.0 2.64 2.50 2.12 1.67 1.28 1.08 1.05 1.09 1.09 0.97 0.76 0.55 0.47 0.57 0.80 1.00 1.04 0.87 0.58 0.33 0.27 0.44 0.76 1.06 1.17 1.04 0.77 0.49 0.36 0.44 0.68 0.99 1.23 1.36 1.38 1.34 1.32 1.34 1.38 1.36 1.23 0.99 0.68 0.44 0.36 0.49 0.77 1.04 1.17 1.06 0.76 0.44 0.27 0.33 0.58 0.87 1.04 1.00 0.80 0.57 0.47 0.55 0.76 0.97 1.09 1.09 1.05 1.08 1.28 1.67 2.12 2.50 2.64 2.50 2.12 1.67 1.28 1.08 1.05 1.09 1.09 0.97 0.76 0.55 0.47 0.57 0.80 1.00 1.04 0.87 0.58 0.33 0.27 0.44 0.76 1.06 1.17 1.04 0.77 0.49 0.36 0.44 0.68 0.99 1.23 1.36 1.38 1.34 1.32 1.34 1.38 1.36 1.23 0.99 0.68 0.44 0.36 0.49 0.77 1.04 1.17 1.06 0.76 0.44 0.27 0.33 0.58 0.87 1.04 1.00 0.80 0.57 0.47 0.55 0.76 0.97 1.09 1.09 1.05 1.08 1.28 1.67 2.12 2.50 2.64 65.0 + 67.5 2.42 2.28 1.91 1.45 1.05 0.82 0.77 0.80 0.81 0.71 0.52 0.31 0.22 0.28 0.45 0.62 0.65 0.49 0.21 0.00 0.00 0.12 0.46 0.78 0.93 0.85 0.61 0.34 0.22 0.30 0.55 0.86 1.12 1.25 1.28 1.24 1.22 1.24 1.28 1.25 1.12 0.86 0.55 0.30 0.22 0.34 0.61 0.85 0.93 0.78 0.46 0.12 0.00 0.00 0.21 0.49 0.65 0.62 0.45 0.28 0.22 0.31 0.52 0.71 0.81 0.80 0.77 0.82 1.05 1.45 1.91 2.28 2.42 2.28 1.91 1.45 1.05 0.82 0.77 0.80 0.81 0.71 0.52 0.31 0.22 0.28 0.45 0.62 0.65 0.49 0.21 0.00 0.00 0.12 0.46 0.78 0.93 0.85 0.61 0.34 0.22 0.30 0.55 0.86 1.12 1.25 1.28 1.24 1.22 1.24 1.28 1.25 1.12 0.86 0.55 0.30 0.22 0.34 0.61 0.85 0.93 0.78 0.46 0.12 0.00 0.00 0.21 0.49 0.65 0.62 0.45 0.28 0.22 0.31 0.52 0.71 0.81 0.80 0.77 0.82 1.05 1.45 1.91 2.28 2.42 67.5 + 70.0 2.19 2.05 1.69 1.24 0.84 0.59 0.52 0.54 0.55 0.46 0.28 0.09 0.00 0.02 0.15 0.27 0.26 0.08 0.00 0.00 0.00 0.00 0.01 0.34 0.51 0.46 0.24 0.00 0.00 0.00 0.22 0.53 0.80 0.95 0.99 0.97 0.96 0.97 0.99 0.95 0.80 0.53 0.22 0.00 0.00 0.00 0.24 0.46 0.51 0.34 0.01 0.00 0.00 0.00 0.00 0.08 0.26 0.27 0.15 0.02 0.00 0.09 0.28 0.46 0.55 0.54 0.52 0.59 0.84 1.24 1.69 2.05 2.19 2.05 1.69 1.24 0.84 0.59 0.52 0.54 0.55 0.46 0.28 0.09 0.00 0.02 0.15 0.27 0.26 0.08 0.00 0.00 0.00 0.00 0.01 0.34 0.51 0.46 0.24 0.00 0.00 0.00 0.22 0.53 0.80 0.95 0.99 0.97 0.96 0.97 0.99 0.95 0.80 0.53 0.22 0.00 0.00 0.00 0.24 0.46 0.51 0.34 0.01 0.00 0.00 0.00 0.00 0.08 0.26 0.27 0.15 0.02 0.00 0.09 0.28 0.46 0.55 0.54 0.52 0.59 0.84 1.24 1.69 2.05 2.19 70.0 + 72.5 2.10 1.96 1.61 1.17 0.76 0.50 0.39 0.37 0.35 0.26 0.09 0.00 0.00 0.00 0.00 0.05 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.10 0.00 0.00 0.00 0.00 0.00 0.24 0.53 0.70 0.77 0.78 0.77 0.78 0.77 0.70 0.53 0.24 0.00 0.00 0.00 0.00 0.00 0.10 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.05 0.00 0.00 0.00 0.00 0.09 0.26 0.35 0.37 0.39 0.50 0.76 1.17 1.61 1.96 2.10 1.96 1.61 1.17 0.76 0.50 0.39 0.37 0.35 0.26 0.09 0.00 0.00 0.00 0.00 0.05 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.10 0.00 0.00 0.00 0.00 0.00 0.24 0.53 0.70 0.77 0.78 0.77 0.78 0.77 0.70 0.53 0.24 0.00 0.00 0.00 0.00 0.00 0.10 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.05 0.00 0.00 0.00 0.00 0.09 0.26 0.35 0.37 0.39 0.50 0.76 1.17 1.61 1.96 2.10 72.5 + 75.0 2.19 2.07 1.73 1.29 0.87 0.58 0.42 0.34 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.47 0.68 0.79 0.83 0.84 0.83 0.79 0.68 0.47 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.34 0.42 0.58 0.87 1.29 1.73 2.07 2.19 2.07 1.73 1.29 0.87 0.58 0.42 0.34 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.47 0.68 0.79 0.83 0.84 0.83 0.79 0.68 0.47 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.34 0.42 0.58 0.87 1.29 1.73 2.07 2.19 75.0 + 77.5 2.40 2.28 1.96 1.53 1.11 0.78 0.56 0.41 0.28 0.13 0.00 0.00 0.00 0.00 0.02 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.03 0.34 0.65 0.89 1.05 1.13 1.15 1.13 1.05 0.89 0.65 0.34 0.03 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.02 0.00 0.00 0.00 0.00 0.13 0.28 0.41 0.56 0.78 1.11 1.53 1.96 2.28 2.40 2.28 1.96 1.53 1.11 0.78 0.56 0.41 0.28 0.13 0.00 0.00 0.00 0.00 0.02 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.03 0.34 0.65 0.89 1.05 1.13 1.15 1.13 1.05 0.89 0.65 0.34 0.03 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.02 0.00 0.00 0.00 0.00 0.13 0.28 0.41 0.56 0.78 1.11 1.53 1.96 2.28 2.40 77.5 + 80.0 2.57 2.46 2.17 1.77 1.36 1.02 0.76 0.55 0.37 0.19 0.05 0.00 0.00 0.06 0.15 0.17 0.08 0.00 0.00 0.00 0.00 0.00 0.13 0.29 0.33 0.25 0.11 0.01 0.00 0.13 0.37 0.67 0.97 1.23 1.42 1.53 1.57 1.53 1.42 1.23 0.97 0.67 0.37 0.13 0.00 0.01 0.11 0.25 0.33 0.29 0.13 0.00 0.00 0.00 0.00 0.00 0.08 0.17 0.15 0.06 0.00 0.00 0.05 0.19 0.37 0.55 0.76 1.02 1.36 1.77 2.17 2.46 2.57 2.46 2.17 1.77 1.36 1.02 0.76 0.55 0.37 0.19 0.05 0.00 0.00 0.06 0.15 0.17 0.08 0.00 0.00 0.00 0.00 0.00 0.13 0.29 0.33 0.25 0.11 0.01 0.00 0.13 0.37 0.67 0.97 1.23 1.42 1.53 1.57 1.53 1.42 1.23 0.97 0.67 0.37 0.13 0.00 0.01 0.11 0.25 0.33 0.29 0.13 0.00 0.00 0.00 0.00 0.00 0.08 0.17 0.15 0.06 0.00 0.00 0.05 0.19 0.37 0.55 0.76 1.02 1.36 1.77 2.17 2.46 2.57 80.0 + 82.5 2.60 2.50 2.24 1.89 1.53 1.20 0.93 0.70 0.49 0.31 0.17 0.12 0.14 0.20 0.23 0.19 0.08 0.00 0.00 0.00 0.00 0.11 0.31 0.44 0.46 0.40 0.32 0.28 0.33 0.49 0.72 0.99 1.27 1.53 1.75 1.88 1.93 1.88 1.75 1.53 1.27 0.99 0.72 0.49 0.33 0.28 0.32 0.40 0.46 0.44 0.31 0.11 0.00 0.00 0.00 0.00 0.08 0.19 0.23 0.20 0.14 0.12 0.17 0.31 0.49 0.70 0.93 1.20 1.53 1.89 2.24 2.50 2.60 2.50 2.24 1.89 1.53 1.20 0.93 0.70 0.49 0.31 0.17 0.12 0.14 0.20 0.23 0.19 0.08 0.00 0.00 0.00 0.00 0.11 0.31 0.44 0.46 0.40 0.32 0.28 0.33 0.49 0.72 0.99 1.27 1.53 1.75 1.88 1.93 1.88 1.75 1.53 1.27 0.99 0.72 0.49 0.33 0.28 0.32 0.40 0.46 0.44 0.31 0.11 0.00 0.00 0.00 0.00 0.08 0.19 0.23 0.20 0.14 0.12 0.17 0.31 0.49 0.70 0.93 1.20 1.53 1.89 2.24 2.50 2.60 82.5 + 85.0 2.47 2.40 2.18 1.89 1.58 1.30 1.05 0.82 0.60 0.42 0.30 0.26 0.27 0.29 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.45 0.48 0.44 0.42 0.46 0.56 0.74 0.96 1.21 1.46 1.71 1.94 2.09 2.14 2.09 1.94 1.71 1.46 1.21 0.96 0.74 0.56 0.46 0.42 0.44 0.48 0.45 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.29 0.27 0.26 0.30 0.42 0.60 0.82 1.05 1.30 1.58 1.89 2.18 2.40 2.47 2.40 2.18 1.89 1.58 1.30 1.05 0.82 0.60 0.42 0.30 0.26 0.27 0.29 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.45 0.48 0.44 0.42 0.46 0.56 0.74 0.96 1.21 1.46 1.71 1.94 2.09 2.14 2.09 1.94 1.71 1.46 1.21 0.96 0.74 0.56 0.46 0.42 0.44 0.48 0.45 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.29 0.27 0.26 0.30 0.42 0.60 0.82 1.05 1.30 1.58 1.89 2.18 2.40 2.47 85.0 + 87.5 2.31 2.24 2.07 1.83 1.57 1.33 1.10 0.89 0.68 0.51 0.40 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.38 0.41 0.41 0.44 0.53 0.68 0.87 1.08 1.31 1.54 1.78 2.00 2.16 2.22 2.16 2.00 1.78 1.54 1.31 1.08 0.87 0.68 0.53 0.44 0.41 0.41 0.38 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.40 0.51 0.68 0.89 1.10 1.33 1.57 1.83 2.07 2.24 2.31 2.24 2.07 1.83 1.57 1.33 1.10 0.89 0.68 0.51 0.40 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.38 0.41 0.41 0.44 0.53 0.68 0.87 1.08 1.31 1.54 1.78 2.00 2.16 2.22 2.16 2.00 1.78 1.54 1.31 1.08 0.87 0.68 0.53 0.44 0.41 0.41 0.38 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.40 0.51 0.68 0.89 1.10 1.33 1.57 1.83 2.07 2.24 2.31 87.5 + 90.0 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 90.0 + + + F(g)_max = 5.99 diff --git a/python/tests/reference/Rotation/ODF_experimental.txt b/python/tests/reference/Rotation/ODF_experimental.txt new file mode 100644 index 000000000..865c06c48 --- /dev/null +++ b/python/tests/reference/Rotation/ODF_experimental.txt @@ -0,0 +1,198510 @@ +# phi_1 fast, phi_2 slow +# range(0,...,360.0;0,...,90.0;0,...,90.0)/deg +# resolution 2.5 deg +# vertex centered, start/end points duplicated +intensity +2.24 +2.18 +2.01 +1.79 +1.56 +1.33 +1.12 +0.91 +0.71 +0.54 +0.43 +0.39 +0.38 +0.34 +0.23 +0.02 +0.0 +0.0 +0.0 +0.0 +0.0 +0.02 +0.23 +0.34 +0.38 +0.39 +0.43 +0.54 +0.71 +0.91 +1.12 +1.33 +1.56 +1.79 +2.01 +2.18 +2.24 +2.18 +2.01 +1.79 +1.56 +1.33 +1.12 +0.91 +0.71 +0.54 +0.43 +0.39 +0.38 +0.34 +0.23 +0.02 +0.0 +0.0 +0.0 +0.0 +0.0 +0.02 +0.23 +0.34 +0.38 +0.39 +0.43 +0.54 +0.71 +0.91 +1.12 +1.33 +1.56 +1.79 +2.01 +2.18 +2.24 +2.18 +2.01 +1.79 +1.56 +1.33 +1.12 +0.91 +0.71 +0.54 +0.43 +0.39 +0.38 +0.34 +0.23 +0.02 +0.0 +0.0 +0.0 +0.0 +0.0 +0.02 +0.23 +0.34 +0.38 +0.39 +0.43 +0.54 +0.71 +0.91 +1.12 +1.33 +1.56 +1.79 +2.01 +2.18 +2.24 +2.18 +2.01 +1.79 +1.56 +1.33 +1.12 +0.91 +0.71 +0.54 +0.43 +0.39 +0.38 +0.34 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from damask import Rotation +from damask import Table from damask import _rotation +from damask import grid_filters n = 1000 atol=1.e-4 @@ -13,7 +13,7 @@ atol=1.e-4 @pytest.fixture def reference_dir(reference_dir_base): """Directory containing reference results.""" - return os.path.join(reference_dir_base,'Rotation') + return reference_dir_base/'Rotation' @pytest.fixture def set_of_rotations(set_of_quaternions): @@ -943,3 +943,39 @@ class TestRotation: sigma_out = np.degrees(np.std(dist)) p = np.average(p) assert (.9 < sigma/sigma_out < 1.1) and p > 1e-2, f'{sigma/sigma_out},{p}' + + + @pytest.mark.parametrize('fractions',[True,False]) + @pytest.mark.parametrize('degrees',[True,False]) + @pytest.mark.parametrize('N',[2**13,2**14,2**15]) + def test_ODF_cell(self,reference_dir,fractions,degrees,N): + steps = np.array([144,36,36]) + limits = np.array([360.,90.,90.]) + rng = tuple(zip(np.zeros(3),limits)) + + weights = Table.load(reference_dir/'ODF_experimental_cell.txt').get('intensity').flatten() + Eulers = grid_filters.cell_coord0(steps,limits) + Eulers = np.radians(Eulers) if not degrees else Eulers + + Eulers_r = Rotation.from_ODF(weights,Eulers.reshape(-1,3,order='F'),N,degrees,fractions).as_Eulers(True) + weights_r = np.histogramdd(Eulers_r,steps,rng)[0].flatten(order='F')/N * np.sum(weights) + + if fractions: assert np.sqrt(((weights_r - weights) ** 2).mean()) < 4 + + @pytest.mark.parametrize('degrees',[True,False]) + @pytest.mark.parametrize('N',[2**13,2**14,2**15]) + def test_ODF_node(self,reference_dir,degrees,N): + steps = np.array([144,36,36]) + limits = np.array([360.,90.,90.]) + rng = tuple(zip(np.zeros(3)-limits/steps*.5,limits-limits/steps*.5)) + + weights = Table.load(reference_dir/'ODF_experimental.txt').get('intensity') + weights = weights.reshape(steps+1,order='F')[:-1,:-1,:-1].reshape(-1,order='F') + + Eulers = grid_filters.node_coord0(steps,limits)[:-1,:-1,:-1] + Eulers = np.radians(Eulers) if not degrees else Eulers + + Eulers_r = Rotation.from_ODF(weights,Eulers.reshape(-1,3,order='F'),N,degrees).as_Eulers(True) + weights_r = np.histogramdd(Eulers_r,steps,rng)[0].flatten(order='F')/N * np.sum(weights) + + assert np.sqrt(((weights_r - weights) ** 2).mean()) < 5 From 8d204ea4452016726415dc4b5dad8cdd5b1708f4 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Mon, 28 Sep 2020 16:17:43 +0200 Subject: [PATCH 073/103] [skip ci] small simplification --- python/tests/test_Rotation.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/python/tests/test_Rotation.py b/python/tests/test_Rotation.py index 1ddb59746..d70d650a0 100644 --- a/python/tests/test_Rotation.py +++ b/python/tests/test_Rotation.py @@ -967,7 +967,7 @@ class TestRotation: def test_ODF_node(self,reference_dir,degrees,N): steps = np.array([144,36,36]) limits = np.array([360.,90.,90.]) - rng = tuple(zip(np.zeros(3)-limits/steps*.5,limits-limits/steps*.5)) + rng = tuple(zip(-limits/steps*.5,limits-limits/steps*.5)) weights = Table.load(reference_dir/'ODF_experimental.txt').get('intensity') weights = weights.reshape(steps+1,order='F')[:-1,:-1,:-1].reshape(-1,order='F') From d805887ef7ce18c26e2c494d136ce17330d2660f Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Mon, 28 Sep 2020 17:56:48 +0200 Subject: [PATCH 074/103] smaller, readable functions --- src/crystallite.f90 | 103 ++++++++++++++++++++++++++++++++++++++++- src/homogenization.f90 | 86 ++-------------------------------- 2 files changed, 105 insertions(+), 84 deletions(-) diff --git a/src/crystallite.f90 b/src/crystallite.f90 index 392dba277..30c6a6904 100644 --- a/src/crystallite.f90 +++ b/src/crystallite.f90 @@ -119,7 +119,10 @@ module crystallite crystallite_results, & crystallite_restartWrite, & crystallite_restartRead, & - crystallite_forward + crystallite_forward, & + crystallite_initializeRestorationPoints, & + crystallite_windForward, & + crystallite_restore contains @@ -237,7 +240,7 @@ subroutine crystallite_init allocate(output_constituent(phases%length)) do c = 1, phases%length phase => phases%get(c) - generic_param => phase%get('generic',defaultVal = emptyDict) + generic_param => phase%get('generic',defaultVal = emptyDict) #if defined(__GFORTRAN__) output_constituent(c)%label = output_asStrings(generic_param) #else @@ -480,6 +483,102 @@ function crystallite_stress() end function crystallite_stress +!-------------------------------------------------------------------------------------------------- +!> @brief tbd +!-------------------------------------------------------------------------------------------------- +subroutine crystallite_initializeRestorationPoints(i,e) + + integer, intent(in) :: & + i, & !< integration point number + e !< element number + integer :: & + c, & !< grain number + s + + do c = 1,homogenization_Ngrains(material_homogenizationAt(e)) + crystallite_partionedFp0(1:3,1:3,c,i,e) = crystallite_Fp0(1:3,1:3,c,i,e) + crystallite_partionedLp0(1:3,1:3,c,i,e) = crystallite_Lp0(1:3,1:3,c,i,e) + crystallite_partionedFi0(1:3,1:3,c,i,e) = crystallite_Fi0(1:3,1:3,c,i,e) + crystallite_partionedLi0(1:3,1:3,c,i,e) = crystallite_Li0(1:3,1:3,c,i,e) + crystallite_partionedF0(1:3,1:3,c,i,e) = crystallite_F0(1:3,1:3,c,i,e) + crystallite_partionedS0(1:3,1:3,c,i,e) = crystallite_S0(1:3,1:3,c,i,e) + + plasticState(material_phaseAt(c,e))%partionedState0(:,material_phasememberAt(c,i,e)) = & + plasticState(material_phaseAt(c,e))%state0( :,material_phasememberAt(c,i,e)) + do s = 1, phase_Nsources(material_phaseAt(c,e)) + sourceState(material_phaseAt(c,e))%p(s)%partionedState0(:,material_phasememberAt(c,i,e)) = & + sourceState(material_phaseAt(c,e))%p(s)%state0( :,material_phasememberAt(c,i,e)) + enddo + enddo + +end subroutine crystallite_initializeRestorationPoints + + +!-------------------------------------------------------------------------------------------------- +!> @brief tbd +!-------------------------------------------------------------------------------------------------- +subroutine crystallite_windForward(i,e) + + integer, intent(in) :: & + i, & !< integration point number + e !< element number + integer :: & + c, & !< grain number + s + + do c = 1,homogenization_Ngrains(material_homogenizationAt(e)) + crystallite_partionedF0 (1:3,1:3,c,i,e) = crystallite_partionedF(1:3,1:3,c,i,e) + crystallite_partionedFp0(1:3,1:3,c,i,e) = crystallite_Fp (1:3,1:3,c,i,e) + crystallite_partionedLp0(1:3,1:3,c,i,e) = crystallite_Lp (1:3,1:3,c,i,e) + crystallite_partionedFi0(1:3,1:3,c,i,e) = crystallite_Fi (1:3,1:3,c,i,e) + crystallite_partionedLi0(1:3,1:3,c,i,e) = crystallite_Li (1:3,1:3,c,i,e) + crystallite_partionedS0 (1:3,1:3,c,i,e) = crystallite_S (1:3,1:3,c,i,e) + + plasticState (material_phaseAt(c,e))%partionedState0(:,material_phasememberAt(c,i,e)) = & + plasticState (material_phaseAt(c,e))%state (:,material_phasememberAt(c,i,e)) + do s = 1, phase_Nsources(material_phaseAt(c,e)) + sourceState(material_phaseAt(c,e))%p(s)%partionedState0(:,material_phasememberAt(c,i,e)) = & + sourceState(material_phaseAt(c,e))%p(s)%state (:,material_phasememberAt(c,i,e)) + enddo + enddo + +end subroutine crystallite_windForward + + +!-------------------------------------------------------------------------------------------------- +!> @brief tbd +!-------------------------------------------------------------------------------------------------- +subroutine crystallite_restore(i,e,includeL) + + integer, intent(in) :: & + i, & !< integration point number + e !< element number + logical, intent(in) :: & + includeL !< protect agains fake cutback + integer :: & + c, & !< grain number + s + + do c = 1,homogenization_Ngrains(material_homogenizationAt(e)) + if (includeL) then + crystallite_Lp(1:3,1:3,c,i,e) = crystallite_partionedLp0(1:3,1:3,c,i,e) + crystallite_Li(1:3,1:3,c,i,e) = crystallite_partionedLi0(1:3,1:3,c,i,e) + endif ! maybe protecting everything from overwriting makes more sense + crystallite_Fp(1:3,1:3,c,i,e) = crystallite_partionedFp0(1:3,1:3,c,i,e) + crystallite_Fi(1:3,1:3,c,i,e) = crystallite_partionedFi0(1:3,1:3,c,i,e) + crystallite_S (1:3,1:3,c,i,e) = crystallite_partionedS0 (1:3,1:3,c,i,e) + + plasticState (material_phaseAt(c,e))%state( :,material_phasememberAt(c,i,e)) = & + plasticState (material_phaseAt(c,e))%partionedState0(:,material_phasememberAt(c,i,e)) + do s = 1, phase_Nsources(material_phaseAt(c,e)) + sourceState(material_phaseAt(c,e))%p(s)%state( :,material_phasememberAt(c,i,e)) = & + sourceState(material_phaseAt(c,e))%p(s)%partionedState0(:,material_phasememberAt(c,i,e)) + enddo + enddo + +end subroutine crystallite_restore + + !-------------------------------------------------------------------------------------------------- !> @brief calculate tangent (dPdF) !-------------------------------------------------------------------------------------------------- diff --git a/src/homogenization.f90 b/src/homogenization.f90 index 0e7f1bf3a..0e9ca386b 100644 --- a/src/homogenization.f90 +++ b/src/homogenization.f90 @@ -211,10 +211,8 @@ subroutine materialpoint_stressAndItsTangent(updateJaco,dt) integer :: & NiterationHomog, & NiterationMPstate, & - g, & !< grain number i, & !< integration point number e, & !< element number - mySource, & myNgrains real(pReal), dimension(discretization_nIP,discretization_nElem) :: & subFrac, & @@ -225,40 +223,13 @@ subroutine materialpoint_stressAndItsTangent(updateJaco,dt) logical, dimension(2,discretization_nIP,discretization_nElem) :: & doneAndHappy -#ifdef DEBUG - - if (debugHomog%basic) then - print'(/a,i5,1x,i2)', ' << HOMOG >> Material Point start at el ip ', debugHomog%element, debugHomog%ip - - print'(a,/,3(12x,3(f14.9,1x)/))', ' << HOMOG >> F0', & - transpose(materialpoint_F0(1:3,1:3,debugHomog%ip,debugHomog%element)) - print'(a,/,3(12x,3(f14.9,1x)/))', ' << HOMOG >> F', & - transpose(materialpoint_F(1:3,1:3,debugHomog%ip,debugHomog%element)) - endif -#endif !-------------------------------------------------------------------------------------------------- ! initialize restoration points do e = FEsolving_execElem(1),FEsolving_execElem(2) - myNgrains = homogenization_Ngrains(material_homogenizationAt(e)) do i = FEsolving_execIP(1),FEsolving_execIP(2); - do g = 1,myNgrains - plasticState (material_phaseAt(g,e))%partionedState0(:,material_phasememberAt(g,i,e)) = & - plasticState (material_phaseAt(g,e))%state0( :,material_phasememberAt(g,i,e)) - do mySource = 1, phase_Nsources(material_phaseAt(g,e)) - sourceState(material_phaseAt(g,e))%p(mySource)%partionedState0(:,material_phasememberAt(g,i,e)) = & - sourceState(material_phaseAt(g,e))%p(mySource)%state0( :,material_phasememberAt(g,i,e)) - enddo - - crystallite_partionedFp0(1:3,1:3,g,i,e) = crystallite_Fp0(1:3,1:3,g,i,e) - crystallite_partionedLp0(1:3,1:3,g,i,e) = crystallite_Lp0(1:3,1:3,g,i,e) - crystallite_partionedFi0(1:3,1:3,g,i,e) = crystallite_Fi0(1:3,1:3,g,i,e) - crystallite_partionedLi0(1:3,1:3,g,i,e) = crystallite_Li0(1:3,1:3,g,i,e) - crystallite_partionedF0(1:3,1:3,g,i,e) = crystallite_F0(1:3,1:3,g,i,e) - crystallite_partionedS0(1:3,1:3,g,i,e) = crystallite_S0(1:3,1:3,g,i,e) - - enddo + call crystallite_initializeRestorationPoints(i,e) subFrac(i,e) = 0.0_pReal converged(i,e) = .false. ! pretend failed step ... @@ -285,44 +256,19 @@ subroutine materialpoint_stressAndItsTangent(updateJaco,dt) any(subStep(FEsolving_execIP(1):FEsolving_execIP(2),& FEsolving_execElem(1):FEsolving_execElem(2)) > num%subStepMinHomog)) - !$OMP PARALLEL DO PRIVATE(myNgrains) + !$OMP PARALLEL DO elementLooping1: do e = FEsolving_execElem(1),FEsolving_execElem(2) myNgrains = homogenization_Ngrains(material_homogenizationAt(e)) IpLooping1: do i = FEsolving_execIP(1),FEsolving_execIP(2) if (converged(i,e)) then -#ifdef DEBUG - if (debugHomog%extensive .and. ((e == debugHomog%element .and. i == debugHomog%ip) & - .or. .not. debugHomog%selective)) then - print'(a,f12.8,a,f12.8,a,i8,1x,i2/)', ' << HOMOG >> winding forward from ', & - subFrac(i,e), ' to current subFrac ', & - subFrac(i,e)+subStep(i,e),' in materialpoint_stressAndItsTangent at el ip ',e,i - endif -#endif - -!--------------------------------------------------------------------------------------------------- -! calculate new subStep and new subFrac subFrac(i,e) = subFrac(i,e) + subStep(i,e) subStep(i,e) = min(1.0_pReal-subFrac(i,e),num%stepIncreaseHomog*subStep(i,e)) ! introduce flexibility for step increase/acceleration steppingNeeded: if (subStep(i,e) > num%subStepMinHomog) then ! wind forward grain starting point - crystallite_partionedF0 (1:3,1:3,1:myNgrains,i,e) = crystallite_partionedF(1:3,1:3,1:myNgrains,i,e) - crystallite_partionedFp0(1:3,1:3,1:myNgrains,i,e) = crystallite_Fp (1:3,1:3,1:myNgrains,i,e) - crystallite_partionedLp0(1:3,1:3,1:myNgrains,i,e) = crystallite_Lp (1:3,1:3,1:myNgrains,i,e) - crystallite_partionedFi0(1:3,1:3,1:myNgrains,i,e) = crystallite_Fi (1:3,1:3,1:myNgrains,i,e) - crystallite_partionedLi0(1:3,1:3,1:myNgrains,i,e) = crystallite_Li (1:3,1:3,1:myNgrains,i,e) - crystallite_partionedS0 (1:3,1:3,1:myNgrains,i,e) = crystallite_S (1:3,1:3,1:myNgrains,i,e) - - do g = 1,myNgrains - plasticState (material_phaseAt(g,e))%partionedState0(:,material_phasememberAt(g,i,e)) = & - plasticState (material_phaseAt(g,e))%state (:,material_phasememberAt(g,i,e)) - do mySource = 1, phase_Nsources(material_phaseAt(g,e)) - sourceState(material_phaseAt(g,e))%p(mySource)%partionedState0(:,material_phasememberAt(g,i,e)) = & - sourceState(material_phaseAt(g,e))%p(mySource)%state (:,material_phasememberAt(g,i,e)) - enddo - enddo + call crystallite_windForward(i,e) if(homogState(material_homogenizationAt(e))%sizeState > 0) & homogState(material_homogenizationAt(e))%subState0(:,material_homogenizationMemberAt(i,e)) = & @@ -347,32 +293,8 @@ subroutine materialpoint_stressAndItsTangent(updateJaco,dt) else ! cutback makes sense subStep(i,e) = num%subStepSizeHomog * subStep(i,e) ! crystallite had severe trouble, so do a significant cutback -#ifdef DEBUG - if (debugHomog%extensive .and. ((e == debugHomog%element .and. i == debugHomog%ip) & - .or. .not. debugHomog%selective)) then - print'(a,f12.8,a,i8,1x,i2/)', & - '<< HOMOG >> cutback step in materialpoint_stressAndItsTangent with new subStep: ',& - subStep(i,e),' at el ip',e,i - endif -#endif + call crystallite_restore(i,e,subStep(i,e) < 1.0_pReal) -!-------------------------------------------------------------------------------------------------- -! restore - if (subStep(i,e) < 1.0_pReal) then ! protect against fake cutback from \Delta t = 2 to 1. Maybe that "trick" is not necessary anymore at all? I.e. start with \Delta t = 1 - crystallite_Lp(1:3,1:3,1:myNgrains,i,e) = crystallite_partionedLp0(1:3,1:3,1:myNgrains,i,e) - crystallite_Li(1:3,1:3,1:myNgrains,i,e) = crystallite_partionedLi0(1:3,1:3,1:myNgrains,i,e) - endif ! maybe protecting everything from overwriting (not only L) makes even more sense - crystallite_Fp(1:3,1:3,1:myNgrains,i,e) = crystallite_partionedFp0(1:3,1:3,1:myNgrains,i,e) - crystallite_Fi(1:3,1:3,1:myNgrains,i,e) = crystallite_partionedFi0(1:3,1:3,1:myNgrains,i,e) - crystallite_S (1:3,1:3,1:myNgrains,i,e) = crystallite_partionedS0 (1:3,1:3,1:myNgrains,i,e) - do g = 1, myNgrains - plasticState (material_phaseAt(g,e))%state( :,material_phasememberAt(g,i,e)) = & - plasticState (material_phaseAt(g,e))%partionedState0(:,material_phasememberAt(g,i,e)) - do mySource = 1, phase_Nsources(material_phaseAt(g,e)) - sourceState(material_phaseAt(g,e))%p(mySource)%state( :,material_phasememberAt(g,i,e)) = & - sourceState(material_phaseAt(g,e))%p(mySource)%partionedState0(:,material_phasememberAt(g,i,e)) - enddo - enddo if(homogState(material_homogenizationAt(e))%sizeState > 0) & homogState(material_homogenizationAt(e))%State( :,material_homogenizationMemberAt(i,e)) = & homogState(material_homogenizationAt(e))%subState0(:,material_homogenizationMemberAt(i,e)) From c254472346f2cb514eae0178420d36929d8607c3 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Mon, 28 Sep 2020 18:01:43 +0200 Subject: [PATCH 075/103] restrict write access --- src/crystallite.f90 | 42 ++++++++++++++++++++---------------------- 1 file changed, 20 insertions(+), 22 deletions(-) diff --git a/src/crystallite.f90 b/src/crystallite.f90 index 30c6a6904..a9a1056dd 100644 --- a/src/crystallite.f90 +++ b/src/crystallite.f90 @@ -35,35 +35,36 @@ module crystallite crystallite_subStep !< size of next integration step type(rotation), dimension(:,:,:), allocatable :: & crystallite_orientation !< current orientation - real(pReal), dimension(:,:,:,:,:), allocatable, public, protected :: & + real(pReal), dimension(:,:,:,:,:), allocatable :: & crystallite_Fe, & !< current "elastic" def grad (end of converged time step) - crystallite_P, & !< 1st Piola-Kirchhoff stress per grain crystallite_S0, & !< 2nd Piola-Kirchhoff stress vector at start of FE inc crystallite_Fp0, & !< plastic def grad at start of FE inc crystallite_Fi0, & !< intermediate def grad at start of FE inc crystallite_F0, & !< def grad at start of FE inc crystallite_Lp0, & !< plastic velocitiy grad at start of FE inc - crystallite_Li0 !< intermediate velocitiy grad at start of FE inc - real(pReal), dimension(:,:,:,:,:), allocatable, public :: & - crystallite_S, & !< current 2nd Piola-Kirchhoff stress vector (end of converged time step) + crystallite_Li0, & !< intermediate velocitiy grad at start of FE inc crystallite_partionedS0, & !< 2nd Piola-Kirchhoff stress vector at start of homog inc crystallite_Fp, & !< current plastic def grad (end of converged time step) crystallite_partionedFp0,& !< plastic def grad at start of homog inc crystallite_Fi, & !< current intermediate def grad (end of converged time step) crystallite_partionedFi0,& !< intermediate def grad at start of homog inc - crystallite_partionedF, & !< def grad to be reached at end of homog inc - crystallite_partionedF0, & !< def grad at start of homog inc - crystallite_Lp, & !< current plastic velocitiy grad (end of converged time step) crystallite_partionedLp0, & !< plastic velocity grad at start of homog inc crystallite_Li, & !< current intermediate velocitiy grad (end of converged time step) - crystallite_partionedLi0 !< intermediate velocity grad at start of homog inc - real(pReal), dimension(:,:,:,:,:), allocatable :: & + crystallite_partionedLi0, & !< intermediate velocity grad at start of homog inc crystallite_subFp0,& !< plastic def grad at start of crystallite inc crystallite_subFi0,& !< intermediate def grad at start of crystallite inc crystallite_subF, & !< def grad to be reached at end of crystallite inc crystallite_subF0, & !< def grad at start of crystallite inc crystallite_subLp0,& !< plastic velocity grad at start of crystallite inc crystallite_subLi0 !< intermediate velocity grad at start of crystallite inc + real(pReal), dimension(:,:,:,:,:), allocatable, public, protected :: & + crystallite_P, & !< 1st Piola-Kirchhoff stress per grain + crystallite_Lp, & !< current plastic velocitiy grad (end of converged time step) + crystallite_S, & !< current 2nd Piola-Kirchhoff stress vector (end of converged time step) + crystallite_partionedF0 !< def grad at start of homog inc + real(pReal), dimension(:,:,:,:,:), allocatable, public :: & + crystallite_partionedF !< def grad to be reached at end of homog inc + real(pReal), dimension(:,:,:,:,:,:,:), allocatable, public, protected :: & crystallite_dPdF !< current individual dPdF per grain (end of converged time step) logical, dimension(:,:,:), allocatable, public :: & @@ -139,8 +140,8 @@ subroutine crystallite_init e, & !< counter in element loop cMax, & !< maximum number of integration point components iMax, & !< maximum number of integration points - eMax, & !< maximum number of elements - myNcomponents !< number of components at current IP + eMax !< maximum number of elements + class(tNode), pointer :: & num_crystallite, & @@ -251,10 +252,9 @@ subroutine crystallite_init !-------------------------------------------------------------------------------------------------- ! initialize - !$OMP PARALLEL DO PRIVATE(myNcomponents,i,c) + !$OMP PARALLEL DO PRIVATE(i,c) do e = FEsolving_execElem(1),FEsolving_execElem(2) - myNcomponents = homogenization_Ngrains(material_homogenizationAt(e)) - do i = FEsolving_execIP(1), FEsolving_execIP(2); do c = 1, myNcomponents + do i = FEsolving_execIP(1), FEsolving_execIP(2); do c = 1, homogenization_Ngrains(material_homogenizationAt(e)) crystallite_Fp0(1:3,1:3,c,i,e) = material_orientation0(c,i,e)%asMatrix() ! Fp reflects initial orientation (see 10.1016/j.actamat.2006.01.005) crystallite_Fp0(1:3,1:3,c,i,e) = crystallite_Fp0(1:3,1:3,c,i,e) & / math_det33(crystallite_Fp0(1:3,1:3,c,i,e))**(1.0_pReal/3.0_pReal) @@ -299,7 +299,6 @@ subroutine crystallite_init print'(a42,1x,i10)', 'max # of constituents/integration point: ', cMax flush(IO_STDOUT) endif - #endif end subroutine crystallite_init @@ -414,7 +413,6 @@ function crystallite_stress() crystallite_subLi0(1:3,1:3,c,i,e) = crystallite_Li (1:3,1:3,c,i,e) crystallite_subFp0(1:3,1:3,c,i,e) = crystallite_Fp (1:3,1:3,c,i,e) crystallite_subFi0(1:3,1:3,c,i,e) = crystallite_Fi (1:3,1:3,c,i,e) - !if abbrevation, make c and p private in omp plasticState( material_phaseAt(c,e))%subState0(:,material_phaseMemberAt(c,i,e)) & = plasticState(material_phaseAt(c,e))%state( :,material_phaseMemberAt(c,i,e)) do s = 1, phase_Nsources(material_phaseAt(c,e)) @@ -465,7 +463,7 @@ function crystallite_stress() !-------------------------------------------------------------------------------------------------- ! integrate --- requires fully defined state array (basic + dependent state) - if (any(todo)) call integrateState(todo) ! TODO: unroll into proper elementloop to avoid N^2 for single point evaluation + if (any(todo)) call integrateState(todo) ! TODO: unroll into proper elementloop to avoid N^2 for single point evaluation where(.not. crystallite_converged .and. crystallite_subStep > num%subStepMinCryst) & ! do not try non-converged but fully cutbacked any further todo = .true. ! TODO: again unroll this into proper elementloop to avoid N^2 for single point evaluation @@ -492,7 +490,7 @@ subroutine crystallite_initializeRestorationPoints(i,e) i, & !< integration point number e !< element number integer :: & - c, & !< grain number + c, & !< constituent number s do c = 1,homogenization_Ngrains(material_homogenizationAt(e)) @@ -523,7 +521,7 @@ subroutine crystallite_windForward(i,e) i, & !< integration point number e !< element number integer :: & - c, & !< grain number + c, & !< constituent number s do c = 1,homogenization_Ngrains(material_homogenizationAt(e)) @@ -556,7 +554,7 @@ subroutine crystallite_restore(i,e,includeL) logical, intent(in) :: & includeL !< protect agains fake cutback integer :: & - c, & !< grain number + c, & !< constituent number s do c = 1,homogenization_Ngrains(material_homogenizationAt(e)) @@ -585,7 +583,7 @@ end subroutine crystallite_restore subroutine crystallite_stressTangent integer :: & - c, & !< counter in integration point component loop + c, & !< counter in constituent loop i, & !< counter in integration point loop e, & !< counter in element loop o, & From b5eaf2cb50f75e9b5a02b6a8dcb1532ae250f072 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Tue, 29 Sep 2020 09:03:58 +0200 Subject: [PATCH 076/103] sorted --- src/crystallite.f90 | 48 +++++++++++++++++++++++++-------------------- 1 file changed, 27 insertions(+), 21 deletions(-) diff --git a/src/crystallite.f90 b/src/crystallite.f90 index a9a1056dd..0bd816142 100644 --- a/src/crystallite.f90 +++ b/src/crystallite.f90 @@ -36,27 +36,33 @@ module crystallite type(rotation), dimension(:,:,:), allocatable :: & crystallite_orientation !< current orientation real(pReal), dimension(:,:,:,:,:), allocatable :: & - crystallite_Fe, & !< current "elastic" def grad (end of converged time step) - crystallite_S0, & !< 2nd Piola-Kirchhoff stress vector at start of FE inc - crystallite_Fp0, & !< plastic def grad at start of FE inc - crystallite_Fi0, & !< intermediate def grad at start of FE inc crystallite_F0, & !< def grad at start of FE inc - crystallite_Lp0, & !< plastic velocitiy grad at start of FE inc - crystallite_Li0, & !< intermediate velocitiy grad at start of FE inc - crystallite_partionedS0, & !< 2nd Piola-Kirchhoff stress vector at start of homog inc - crystallite_Fp, & !< current plastic def grad (end of converged time step) - crystallite_partionedFp0,& !< plastic def grad at start of homog inc - crystallite_Fi, & !< current intermediate def grad (end of converged time step) - crystallite_partionedFi0,& !< intermediate def grad at start of homog inc - crystallite_partionedLp0, & !< plastic velocity grad at start of homog inc - crystallite_Li, & !< current intermediate velocitiy grad (end of converged time step) - crystallite_partionedLi0, & !< intermediate velocity grad at start of homog inc - crystallite_subFp0,& !< plastic def grad at start of crystallite inc - crystallite_subFi0,& !< intermediate def grad at start of crystallite inc crystallite_subF, & !< def grad to be reached at end of crystallite inc crystallite_subF0, & !< def grad at start of crystallite inc + ! + crystallite_Fe, & !< current "elastic" def grad (end of converged time step) + ! + crystallite_Fp, & !< current plastic def grad (end of converged time step) + crystallite_Fp0, & !< plastic def grad at start of FE inc + crystallite_partionedFp0,& !< plastic def grad at start of homog inc + crystallite_subFp0,& !< plastic def grad at start of crystallite inc + ! + crystallite_Fi, & !< current intermediate def grad (end of converged time step) + crystallite_Fi0, & !< intermediate def grad at start of FE inc + crystallite_partionedFi0,& !< intermediate def grad at start of homog inc + crystallite_subFi0,& !< intermediate def grad at start of crystallite inc + ! + crystallite_Lp0, & !< plastic velocitiy grad at start of FE inc + crystallite_partionedLp0, & !< plastic velocity grad at start of homog inc crystallite_subLp0,& !< plastic velocity grad at start of crystallite inc - crystallite_subLi0 !< intermediate velocity grad at start of crystallite inc + ! + crystallite_Li, & !< current intermediate velocitiy grad (end of converged time step) + crystallite_Li0, & !< intermediate velocitiy grad at start of FE inc + crystallite_partionedLi0, & !< intermediate velocity grad at start of homog inc + crystallite_subLi0, & !< intermediate velocity grad at start of crystallite inc + ! + crystallite_S0, & !< 2nd Piola-Kirchhoff stress vector at start of FE inc + crystallite_partionedS0 !< 2nd Piola-Kirchhoff stress vector at start of homog inc real(pReal), dimension(:,:,:,:,:), allocatable, public, protected :: & crystallite_P, & !< 1st Piola-Kirchhoff stress per grain crystallite_Lp, & !< current plastic velocitiy grad (end of converged time step) @@ -482,7 +488,7 @@ end function crystallite_stress !-------------------------------------------------------------------------------------------------- -!> @brief tbd +!> @brief Backup data for homog cutback. !-------------------------------------------------------------------------------------------------- subroutine crystallite_initializeRestorationPoints(i,e) @@ -513,7 +519,7 @@ end subroutine crystallite_initializeRestorationPoints !-------------------------------------------------------------------------------------------------- -!> @brief tbd +!> @brief Wind homog inc forward. !-------------------------------------------------------------------------------------------------- subroutine crystallite_windForward(i,e) @@ -544,7 +550,7 @@ end subroutine crystallite_windForward !-------------------------------------------------------------------------------------------------- -!> @brief tbd +!> @brief Restore data after homog cutback. !-------------------------------------------------------------------------------------------------- subroutine crystallite_restore(i,e,includeL) @@ -578,7 +584,7 @@ end subroutine crystallite_restore !-------------------------------------------------------------------------------------------------- -!> @brief calculate tangent (dPdF) +!> @brief Calculate tangent (dPdF). !-------------------------------------------------------------------------------------------------- subroutine crystallite_stressTangent From 3ad63cb966848e78c4f919458029b06516b9b585 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Tue, 29 Sep 2020 09:22:15 +0200 Subject: [PATCH 077/103] don't open closed units (MPI) --- src/DAMASK_interface.f90 | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/DAMASK_interface.f90 b/src/DAMASK_interface.f90 index d34034d0d..39f77012c 100644 --- a/src/DAMASK_interface.f90 +++ b/src/DAMASK_interface.f90 @@ -82,7 +82,7 @@ subroutine DAMASK_interface_init print'(/,a)', ' <<<+- DAMASK_interface init -+>>>' - open(OUTPUT_unit, encoding='UTF-8') ! for special characters in output + if(worldrank == 0) open(OUTPUT_UNIT, encoding='UTF-8') ! for special characters in output ! http://patorjk.com/software/taag/#p=display&f=Lean&t=DAMASK%203 #ifdef DEBUG From c46b4d90a613a2ad881d9eec578326fc21e918ed Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Tue, 29 Sep 2020 12:48:29 +0200 Subject: [PATCH 078/103] modularizing --- src/crystallite.f90 | 22 +++++++++++++++++----- 1 file changed, 17 insertions(+), 5 deletions(-) diff --git a/src/crystallite.f90 b/src/crystallite.f90 index 0bd816142..c0c140571 100644 --- a/src/crystallite.f90 +++ b/src/crystallite.f90 @@ -1241,7 +1241,7 @@ subroutine integrateStateFPI(todo) enddo; enddo; enddo !$OMP END PARALLEL DO - if (nonlocalBroken) call nonlocalConvergenceCheck + call nonlocalConvergenceCheck contains @@ -1328,7 +1328,7 @@ subroutine integrateStateEuler(todo) enddo; enddo; enddo !$OMP END PARALLEL DO - if (nonlocalBroken) call nonlocalConvergenceCheck + call nonlocalConvergenceCheck end subroutine integrateStateEuler @@ -1422,7 +1422,7 @@ subroutine integrateStateAdaptiveEuler(todo) enddo; enddo; enddo !$OMP END PARALLEL DO - if (nonlocalBroken) call nonlocalConvergenceCheck + call nonlocalConvergenceCheck end subroutine integrateStateAdaptiveEuler @@ -1612,7 +1612,7 @@ subroutine integrateStateRK(todo,A,B,CC,DB) enddo; enddo; enddo !$OMP END PARALLEL DO - if(nonlocalBroken) call nonlocalConvergenceCheck + call nonlocalConvergenceCheck end subroutine integrateStateRK @@ -1624,7 +1624,19 @@ end subroutine integrateStateRK subroutine nonlocalConvergenceCheck integer :: e,i,p - + logical :: nonlocal_broken + + nonlocal_broken = .false. + !$OMP PARALLEL DO PRIVATE(p) + do e = FEsolving_execElem(1),FEsolving_execElem(2) + p = material_phaseAt(1,e) + do i = FEsolving_execIP(1),FEsolving_execIP(2) + if(plasticState(p)%nonlocal .and. .not. crystallite_converged(1,i,e)) nonlocal_broken = .true. + enddo + enddo + !$OMP END PARALLEL DO + + if(.not. nonlocal_broken) return !$OMP PARALLEL DO PRIVATE(p) do e = FEsolving_execElem(1),FEsolving_execElem(2) p = material_phaseAt(1,e) From f1e96489cc3d59fe11420a9d395caf025fb234f1 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Tue, 29 Sep 2020 12:56:12 +0200 Subject: [PATCH 079/103] better readable somehow on the cost of the nonlocal performance --- src/crystallite.f90 | 43 ++++++++++++++++--------------------------- 1 file changed, 16 insertions(+), 27 deletions(-) diff --git a/src/crystallite.f90 b/src/crystallite.f90 index c0c140571..5f4b3bbf7 100644 --- a/src/crystallite.f90 +++ b/src/crystallite.f90 @@ -1147,16 +1147,15 @@ subroutine integrateStateFPI(todo) plastic_dotState real(pReal), dimension(constitutive_source_maxSizeDotState,2,maxval(phase_Nsources)) :: source_dotState logical :: & - nonlocalBroken, broken + broken + - nonlocalBroken = .false. !$OMP PARALLEL DO PRIVATE(size_pl,size_so,r,zeta,p,c,plastic_dotState,source_dotState,broken) do e = FEsolving_execElem(1),FEsolving_execElem(2) do i = FEsolving_execIP(1),FEsolving_execIP(2) do g = 1,homogenization_Ngrains(material_homogenizationAt(e)) - p = material_phaseAt(g,e) - if(todo(g,i,e) .and. .not. (nonlocalBroken .and. plasticState(p)%nonlocal)) then - + if(todo(g,i,e)) then + p = material_phaseAt(g,e) c = material_phaseMemberAt(g,i,e) broken = constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), & @@ -1164,7 +1163,6 @@ subroutine integrateStateFPI(todo) crystallite_Fi(1:3,1:3,g,i,e), & crystallite_partionedFp0, & crystallite_subdt(g,i,e), g,i,e,p,c) - if(broken .and. plasticState(p)%nonlocal) nonlocalBroken = .true. if(broken) cycle size_pl = plasticState(p)%sizeDotState @@ -1236,7 +1234,6 @@ subroutine integrateStateFPI(todo) endif enddo iteration - if(broken .and. plasticState(p)%nonlocal) nonlocalBroken = .true. endif enddo; enddo; enddo !$OMP END PARALLEL DO @@ -1284,16 +1281,15 @@ subroutine integrateStateEuler(todo) s, & sizeDotState logical :: & - nonlocalBroken, broken + broken - nonlocalBroken = .false. !$OMP PARALLEL DO PRIVATE (sizeDotState,p,c,broken) do e = FEsolving_execElem(1),FEsolving_execElem(2) do i = FEsolving_execIP(1),FEsolving_execIP(2) do g = 1,homogenization_Ngrains(material_homogenizationAt(e)) - p = material_phaseAt(g,e) - if(todo(g,i,e) .and. .not. (nonlocalBroken .and. plasticState(p)%nonlocal)) then + if(todo(g,i,e)) then + p = material_phaseAt(g,e) c = material_phaseMemberAt(g,i,e) broken = constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), & @@ -1301,7 +1297,6 @@ subroutine integrateStateEuler(todo) crystallite_Fi(1:3,1:3,g,i,e), & crystallite_partionedFp0, & crystallite_subdt(g,i,e), g,i,e,p,c) - if(broken .and. plasticState(p)%nonlocal) nonlocalBroken = .true. if(broken) cycle sizeDotState = plasticState(p)%sizeDotState @@ -1318,11 +1313,9 @@ subroutine integrateStateEuler(todo) broken = constitutive_deltaState(crystallite_S(1:3,1:3,g,i,e), & crystallite_Fe(1:3,1:3,g,i,e), & crystallite_Fi(1:3,1:3,g,i,e),g,i,e,p,c) - if(broken .and. plasticState(p)%nonlocal) nonlocalBroken = .true. if(broken) cycle broken = integrateStress(g,i,e) - if(broken .and. plasticState(p)%nonlocal) nonlocalBroken = .true. crystallite_converged(g,i,e) = .not. broken endif enddo; enddo; enddo @@ -1349,20 +1342,19 @@ subroutine integrateStateAdaptiveEuler(todo) s, & sizeDotState logical :: & - nonlocalBroken, broken + broken real(pReal), dimension(constitutive_plasticity_maxSizeDotState) :: residuum_plastic real(pReal), dimension(constitutive_source_maxSizeDotState,maxval(phase_Nsources)) :: residuum_source - nonlocalBroken = .false. !$OMP PARALLEL DO PRIVATE(sizeDotState,p,c,residuum_plastic,residuum_source,broken) do e = FEsolving_execElem(1),FEsolving_execElem(2) do i = FEsolving_execIP(1),FEsolving_execIP(2) do g = 1,homogenization_Ngrains(material_homogenizationAt(e)) broken = .false. - p = material_phaseAt(g,e) - if(todo(g,i,e) .and. .not. (nonlocalBroken .and. plasticState(p)%nonlocal)) then + if(todo(g,i,e)) then + p = material_phaseAt(g,e) c = material_phaseMemberAt(g,i,e) broken = constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), & @@ -1418,7 +1410,6 @@ subroutine integrateStateAdaptiveEuler(todo) enddo endif - if(broken .and. plasticState(p)%nonlocal) nonlocalBroken = .true. enddo; enddo; enddo !$OMP END PARALLEL DO @@ -1503,19 +1494,18 @@ subroutine integrateStateRK(todo,A,B,CC,DB) s, & sizeDotState logical :: & - nonlocalBroken, broken + broken real(pReal), dimension(constitutive_source_maxSizeDotState,size(B),maxval(phase_Nsources)) :: source_RKdotState real(pReal), dimension(constitutive_plasticity_maxSizeDotState,size(B)) :: plastic_RKdotState - nonlocalBroken = .false. !$OMP PARALLEL DO PRIVATE(sizeDotState,p,c,plastic_RKdotState,source_RKdotState,broken) do e = FEsolving_execElem(1),FEsolving_execElem(2) do i = FEsolving_execIP(1),FEsolving_execIP(2) do g = 1,homogenization_Ngrains(material_homogenizationAt(e)) broken = .false. - p = material_phaseAt(g,e) - if(todo(g,i,e) .and. .not. (nonlocalBroken .and. plasticState(p)%nonlocal)) then + if(todo(g,i,e)) then + p = material_phaseAt(g,e) c = material_phaseMemberAt(g,i,e) broken = constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), & @@ -1608,7 +1598,6 @@ subroutine integrateStateRK(todo,A,B,CC,DB) crystallite_converged(g,i,e) = .not. broken endif - if(broken .and. plasticState(p)%nonlocal) nonlocalBroken = .true. enddo; enddo; enddo !$OMP END PARALLEL DO @@ -1624,8 +1613,8 @@ end subroutine integrateStateRK subroutine nonlocalConvergenceCheck integer :: e,i,p - logical :: nonlocal_broken - + logical :: nonlocal_broken + nonlocal_broken = .false. !$OMP PARALLEL DO PRIVATE(p) do e = FEsolving_execElem(1),FEsolving_execElem(2) @@ -1635,7 +1624,7 @@ subroutine nonlocalConvergenceCheck enddo enddo !$OMP END PARALLEL DO - + if(.not. nonlocal_broken) return !$OMP PARALLEL DO PRIVATE(p) do e = FEsolving_execElem(1),FEsolving_execElem(2) From 587d5ee445394808eb55ad2e9164575428e589ea Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Tue, 29 Sep 2020 13:13:53 +0200 Subject: [PATCH 080/103] no need for two loops --- src/crystallite.f90 | 97 ++++++++++++--------------------------------- 1 file changed, 25 insertions(+), 72 deletions(-) diff --git a/src/crystallite.f90 b/src/crystallite.f90 index 5f4b3bbf7..d21fd453f 100644 --- a/src/crystallite.f90 +++ b/src/crystallite.f90 @@ -460,16 +460,18 @@ function crystallite_stress() math_inv33(crystallite_Fi(1:3,1:3,c,i,e))) crystallite_subdt(c,i,e) = crystallite_subStep(c,i,e) * crystallite_dt(c,i,e) crystallite_converged(c,i,e) = .false. + call integrateState(c,i,e) endif enddo enddo enddo elementLooping3 !$OMP END PARALLEL DO + + call nonlocalConvergenceCheck !-------------------------------------------------------------------------------------------------- ! integrate --- requires fully defined state array (basic + dependent state) - if (any(todo)) call integrateState(todo) ! TODO: unroll into proper elementloop to avoid N^2 for single point evaluation where(.not. crystallite_converged .and. crystallite_subStep > num%subStepMinCryst) & ! do not try non-converged but fully cutbacked any further todo = .true. ! TODO: again unroll this into proper elementloop to avoid N^2 for single point evaluation @@ -1125,9 +1127,8 @@ end function integrateStress !> @brief integrate stress, state with adaptive 1st order explicit Euler method !> using Fixed Point Iteration to adapt the stepsize !-------------------------------------------------------------------------------------------------- -subroutine integrateStateFPI(todo) +subroutine integrateStateFPI(g,i,e) - logical, dimension(:,:,:), intent(in) :: todo integer :: & NiterationState, & !< number of iterations in state loop e, & !< element index in element loop @@ -1150,11 +1151,6 @@ subroutine integrateStateFPI(todo) broken - !$OMP PARALLEL DO PRIVATE(size_pl,size_so,r,zeta,p,c,plastic_dotState,source_dotState,broken) - do e = FEsolving_execElem(1),FEsolving_execElem(2) - do i = FEsolving_execIP(1),FEsolving_execIP(2) - do g = 1,homogenization_Ngrains(material_homogenizationAt(e)) - if(todo(g,i,e)) then p = material_phaseAt(g,e) c = material_phaseMemberAt(g,i,e) @@ -1163,7 +1159,7 @@ subroutine integrateStateFPI(todo) crystallite_Fi(1:3,1:3,g,i,e), & crystallite_partionedFp0, & crystallite_subdt(g,i,e), g,i,e,p,c) - if(broken) cycle + if(broken) return size_pl = plasticState(p)%sizeDotState plasticState(p)%state(1:size_pl,c) = plasticState(p)%subState0(1:size_pl,c) & @@ -1234,11 +1230,7 @@ subroutine integrateStateFPI(todo) endif enddo iteration - endif - enddo; enddo; enddo - !$OMP END PARALLEL DO - call nonlocalConvergenceCheck contains @@ -1268,9 +1260,7 @@ end subroutine integrateStateFPI !-------------------------------------------------------------------------------------------------- !> @brief integrate state with 1st order explicit Euler method !-------------------------------------------------------------------------------------------------- -subroutine integrateStateEuler(todo) - - logical, dimension(:,:,:), intent(in) :: todo +subroutine integrateStateEuler(g,i,e) integer :: & e, & !< element index in element loop @@ -1283,11 +1273,6 @@ subroutine integrateStateEuler(todo) logical :: & broken - !$OMP PARALLEL DO PRIVATE (sizeDotState,p,c,broken) - do e = FEsolving_execElem(1),FEsolving_execElem(2) - do i = FEsolving_execIP(1),FEsolving_execIP(2) - do g = 1,homogenization_Ngrains(material_homogenizationAt(e)) - if(todo(g,i,e)) then p = material_phaseAt(g,e) c = material_phaseMemberAt(g,i,e) @@ -1297,7 +1282,7 @@ subroutine integrateStateEuler(todo) crystallite_Fi(1:3,1:3,g,i,e), & crystallite_partionedFp0, & crystallite_subdt(g,i,e), g,i,e,p,c) - if(broken) cycle + if(broken) return sizeDotState = plasticState(p)%sizeDotState plasticState(p)%state(1:sizeDotState,c) = plasticState(p)%subState0(1:sizeDotState,c) & @@ -1313,15 +1298,10 @@ subroutine integrateStateEuler(todo) broken = constitutive_deltaState(crystallite_S(1:3,1:3,g,i,e), & crystallite_Fe(1:3,1:3,g,i,e), & crystallite_Fi(1:3,1:3,g,i,e),g,i,e,p,c) - if(broken) cycle + if(broken) return broken = integrateStress(g,i,e) crystallite_converged(g,i,e) = .not. broken - endif - enddo; enddo; enddo - !$OMP END PARALLEL DO - - call nonlocalConvergenceCheck end subroutine integrateStateEuler @@ -1329,9 +1309,7 @@ end subroutine integrateStateEuler !-------------------------------------------------------------------------------------------------- !> @brief integrate stress, state with 1st order Euler method with adaptive step size !-------------------------------------------------------------------------------------------------- -subroutine integrateStateAdaptiveEuler(todo) - - logical, dimension(:,:,:), intent(in) :: todo +subroutine integrateStateAdaptiveEuler(g,i,e) integer :: & e, & ! element index in element loop @@ -1347,13 +1325,7 @@ subroutine integrateStateAdaptiveEuler(todo) real(pReal), dimension(constitutive_plasticity_maxSizeDotState) :: residuum_plastic real(pReal), dimension(constitutive_source_maxSizeDotState,maxval(phase_Nsources)) :: residuum_source - !$OMP PARALLEL DO PRIVATE(sizeDotState,p,c,residuum_plastic,residuum_source,broken) - do e = FEsolving_execElem(1),FEsolving_execElem(2) - do i = FEsolving_execIP(1),FEsolving_execIP(2) - do g = 1,homogenization_Ngrains(material_homogenizationAt(e)) - broken = .false. - if(todo(g,i,e)) then p = material_phaseAt(g,e) c = material_phaseMemberAt(g,i,e) @@ -1362,7 +1334,7 @@ subroutine integrateStateAdaptiveEuler(todo) crystallite_Fi(1:3,1:3,g,i,e), & crystallite_partionedFp0, & crystallite_subdt(g,i,e), g,i,e,p,c) - if(broken) cycle + if(broken) return sizeDotState = plasticState(p)%sizeDotState @@ -1381,17 +1353,17 @@ subroutine integrateStateAdaptiveEuler(todo) broken = constitutive_deltaState(crystallite_S(1:3,1:3,g,i,e), & crystallite_Fe(1:3,1:3,g,i,e), & crystallite_Fi(1:3,1:3,g,i,e),g,i,e,p,c) - if(broken) cycle + if(broken) return broken = integrateStress(g,i,e) - if(broken) cycle + if(broken) return broken = constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), & crystallite_partionedF0, & crystallite_Fi(1:3,1:3,g,i,e), & crystallite_partionedFp0, & crystallite_subdt(g,i,e), g,i,e,p,c) - if(broken) cycle + if(broken) return sizeDotState = plasticState(p)%sizeDotState @@ -1407,13 +1379,7 @@ subroutine integrateStateAdaptiveEuler(todo) + 0.5_pReal*sourceState(p)%p(s)%dotState(:,c)*crystallite_subdt(g,i,e), & sourceState(p)%p(s)%state(1:sizeDotState,c), & sourceState(p)%p(s)%atol(1:sizeDotState)) - enddo - - endif - enddo; enddo; enddo - !$OMP END PARALLEL DO - - call nonlocalConvergenceCheck + enddo end subroutine integrateStateAdaptiveEuler @@ -1421,9 +1387,9 @@ end subroutine integrateStateAdaptiveEuler !--------------------------------------------------------------------------------------------------- !> @brief Integrate state (including stress integration) with the classic Runge Kutta method !--------------------------------------------------------------------------------------------------- -subroutine integrateStateRK4(todo) +subroutine integrateStateRK4(g,i,e) - logical, dimension(:,:,:), intent(in) :: todo + integer :: g,i,e real(pReal), dimension(3,3), parameter :: & A = reshape([& @@ -1436,7 +1402,7 @@ subroutine integrateStateRK4(todo) real(pReal), dimension(4), parameter :: & B = [1.0_pReal/6.0_pReal, 1.0_pReal/3.0_pReal, 1.0_pReal/3.0_pReal, 1.0_pReal/6.0_pReal] - call integrateStateRK(todo,A,B,C) + call integrateStateRK(g,i,e,A,B,C) end subroutine integrateStateRK4 @@ -1444,9 +1410,9 @@ end subroutine integrateStateRK4 !--------------------------------------------------------------------------------------------------- !> @brief Integrate state (including stress integration) with the Cash-Carp method !--------------------------------------------------------------------------------------------------- -subroutine integrateStateRKCK45(todo) +subroutine integrateStateRKCK45(g,i,e) - logical, dimension(:,:,:), intent(in) :: todo + integer :: g,i,e real(pReal), dimension(5,5), parameter :: & A = reshape([& @@ -1466,7 +1432,7 @@ subroutine integrateStateRKCK45(todo) [2825.0_pReal/27648.0_pReal, .0_pReal, 18575.0_pReal/48384.0_pReal,& 13525.0_pReal/55296.0_pReal, 277.0_pReal/14336.0_pReal, 1._pReal/4._pReal] - call integrateStateRK(todo,A,B,C,DB) + call integrateStateRK(g,i,e,A,B,C,DB) end subroutine integrateStateRKCK45 @@ -1475,9 +1441,8 @@ end subroutine integrateStateRKCK45 !> @brief Integrate state (including stress integration) with an explicit Runge-Kutta method or an !! embedded explicit Runge-Kutta method !-------------------------------------------------------------------------------------------------- -subroutine integrateStateRK(todo,A,B,CC,DB) +subroutine integrateStateRK(g,i,e,A,B,CC,DB) - logical, dimension(:,:,:), intent(in) :: todo real(pReal), dimension(:,:), intent(in) :: A real(pReal), dimension(:), intent(in) :: B, CC @@ -1498,13 +1463,6 @@ subroutine integrateStateRK(todo,A,B,CC,DB) real(pReal), dimension(constitutive_source_maxSizeDotState,size(B),maxval(phase_Nsources)) :: source_RKdotState real(pReal), dimension(constitutive_plasticity_maxSizeDotState,size(B)) :: plastic_RKdotState - !$OMP PARALLEL DO PRIVATE(sizeDotState,p,c,plastic_RKdotState,source_RKdotState,broken) - do e = FEsolving_execElem(1),FEsolving_execElem(2) - do i = FEsolving_execIP(1),FEsolving_execIP(2) - do g = 1,homogenization_Ngrains(material_homogenizationAt(e)) - broken = .false. - - if(todo(g,i,e)) then p = material_phaseAt(g,e) c = material_phaseMemberAt(g,i,e) @@ -1513,7 +1471,7 @@ subroutine integrateStateRK(todo,A,B,CC,DB) crystallite_Fi(1:3,1:3,g,i,e), & crystallite_partionedFp0, & crystallite_subdt(g,i,e), g,i,e,p,c) - if(broken) cycle + if(broken) return do stage = 1,size(A,1) sizeDotState = plasticState(p)%sizeDotState @@ -1558,7 +1516,7 @@ subroutine integrateStateRK(todo,A,B,CC,DB) if(broken) exit enddo - if(broken) cycle + if(broken) return sizeDotState = plasticState(p)%sizeDotState @@ -1587,21 +1545,16 @@ subroutine integrateStateRK(todo,A,B,CC,DB) sourceState(p)%p(s)%state(1:sizeDotState,c), & sourceState(p)%p(s)%atol(1:sizeDotState)) enddo - if(broken) cycle + if(broken) return broken = constitutive_deltaState(crystallite_S(1:3,1:3,g,i,e), & crystallite_Fe(1:3,1:3,g,i,e), & crystallite_Fi(1:3,1:3,g,i,e),g,i,e,p,c) - if(broken) cycle + if(broken) return broken = integrateStress(g,i,e) crystallite_converged(g,i,e) = .not. broken - endif - enddo; enddo; enddo - !$OMP END PARALLEL DO - - call nonlocalConvergenceCheck end subroutine integrateStateRK From d0df748fc142481f29cdda9232634aade01b56f8 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Tue, 29 Sep 2020 13:36:15 +0200 Subject: [PATCH 081/103] cleaning --- src/crystallite.f90 | 474 ++++++++++++++++++++++---------------------- 1 file changed, 238 insertions(+), 236 deletions(-) diff --git a/src/crystallite.f90 b/src/crystallite.f90 index d21fd453f..9411cdfc7 100644 --- a/src/crystallite.f90 +++ b/src/crystallite.f90 @@ -467,7 +467,7 @@ function crystallite_stress() enddo enddo elementLooping3 !$OMP END PARALLEL DO - + call nonlocalConvergenceCheck !-------------------------------------------------------------------------------------------------- @@ -1129,11 +1129,12 @@ end function integrateStress !-------------------------------------------------------------------------------------------------- subroutine integrateStateFPI(g,i,e) - integer :: & - NiterationState, & !< number of iterations in state loop + integer, intent(in) :: & e, & !< element index in element loop i, & !< integration point index in ip loop - g, & !< grain index in grain loop + g !< grain index in grain loop + integer :: & + NiterationState, & !< number of iterations in state loop p, & c, & s, & @@ -1150,86 +1151,85 @@ subroutine integrateStateFPI(g,i,e) logical :: & broken + p = material_phaseAt(g,e) + c = material_phaseMemberAt(g,i,e) - p = material_phaseAt(g,e) - c = material_phaseMemberAt(g,i,e) + broken = constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), & + crystallite_partionedF0, & + crystallite_Fi(1:3,1:3,g,i,e), & + crystallite_partionedFp0, & + crystallite_subdt(g,i,e), g,i,e,p,c) + if(broken) return - broken = constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), & - crystallite_partionedF0, & - crystallite_Fi(1:3,1:3,g,i,e), & - crystallite_partionedFp0, & - crystallite_subdt(g,i,e), g,i,e,p,c) - if(broken) return + size_pl = plasticState(p)%sizeDotState + plasticState(p)%state(1:size_pl,c) = plasticState(p)%subState0(1:size_pl,c) & + + plasticState(p)%dotState (1:size_pl,c) & + * crystallite_subdt(g,i,e) + plastic_dotState(1:size_pl,2) = 0.0_pReal + do s = 1, phase_Nsources(p) + size_so(s) = sourceState(p)%p(s)%sizeDotState + sourceState(p)%p(s)%state(1:size_so(s),c) = sourceState(p)%p(s)%subState0(1:size_so(s),c) & + + sourceState(p)%p(s)%dotState (1:size_so(s),c) & + * crystallite_subdt(g,i,e) + source_dotState(1:size_so(s),2,s) = 0.0_pReal + enddo - size_pl = plasticState(p)%sizeDotState - plasticState(p)%state(1:size_pl,c) = plasticState(p)%subState0(1:size_pl,c) & - + plasticState(p)%dotState (1:size_pl,c) & - * crystallite_subdt(g,i,e) - plastic_dotState(1:size_pl,2) = 0.0_pReal - do s = 1, phase_Nsources(p) - size_so(s) = sourceState(p)%p(s)%sizeDotState - sourceState(p)%p(s)%state(1:size_so(s),c) = sourceState(p)%p(s)%subState0(1:size_so(s),c) & - + sourceState(p)%p(s)%dotState (1:size_so(s),c) & - * crystallite_subdt(g,i,e) - source_dotState(1:size_so(s),2,s) = 0.0_pReal - enddo + iteration: do NiterationState = 1, num%nState - iteration: do NiterationState = 1, num%nState + if(nIterationState > 1) plastic_dotState(1:size_pl,2) = plastic_dotState(1:size_pl,1) + plastic_dotState(1:size_pl,1) = plasticState(p)%dotState(:,c) + do s = 1, phase_Nsources(p) + if(nIterationState > 1) source_dotState(1:size_so(s),2,s) = source_dotState(1:size_so(s),1,s) + source_dotState(1:size_so(s),1,s) = sourceState(p)%p(s)%dotState(:,c) + enddo - if(nIterationState > 1) plastic_dotState(1:size_pl,2) = plastic_dotState(1:size_pl,1) - plastic_dotState(1:size_pl,1) = plasticState(p)%dotState(:,c) - do s = 1, phase_Nsources(p) - if(nIterationState > 1) source_dotState(1:size_so(s),2,s) = source_dotState(1:size_so(s),1,s) - source_dotState(1:size_so(s),1,s) = sourceState(p)%p(s)%dotState(:,c) - enddo + broken = integrateStress(g,i,e) + if(broken) exit iteration - broken = integrateStress(g,i,e) - if(broken) exit iteration + broken = constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), & + crystallite_partionedF0, & + crystallite_Fi(1:3,1:3,g,i,e), & + crystallite_partionedFp0, & + crystallite_subdt(g,i,e), g,i,e,p,c) + if(broken) exit iteration - broken = constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), & - crystallite_partionedF0, & - crystallite_Fi(1:3,1:3,g,i,e), & - crystallite_partionedFp0, & - crystallite_subdt(g,i,e), g,i,e,p,c) - if(broken) exit iteration + zeta = damper(plasticState(p)%dotState(:,c),plastic_dotState(1:size_pl,1),& + plastic_dotState(1:size_pl,2)) + plasticState(p)%dotState(:,c) = plasticState(p)%dotState(:,c) * zeta & + + plastic_dotState(1:size_pl,1) * (1.0_pReal - zeta) + r(1:size_pl) = plasticState(p)%state (1:size_pl,c) & + - plasticState(p)%subState0(1:size_pl,c) & + - plasticState(p)%dotState (1:size_pl,c) * crystallite_subdt(g,i,e) + plasticState(p)%state(1:size_pl,c) = plasticState(p)%state(1:size_pl,c) & + - r(1:size_pl) + crystallite_converged(g,i,e) = converged(r(1:size_pl), & + plasticState(p)%state(1:size_pl,c), & + plasticState(p)%atol(1:size_pl)) + do s = 1, phase_Nsources(p) + zeta = damper(sourceState(p)%p(s)%dotState(:,c), & + source_dotState(1:size_so(s),1,s),& + source_dotState(1:size_so(s),2,s)) + sourceState(p)%p(s)%dotState(:,c) = sourceState(p)%p(s)%dotState(:,c) * zeta & + + source_dotState(1:size_so(s),1,s)* (1.0_pReal - zeta) + r(1:size_so(s)) = sourceState(p)%p(s)%state (1:size_so(s),c) & + - sourceState(p)%p(s)%subState0(1:size_so(s),c) & + - sourceState(p)%p(s)%dotState (1:size_so(s),c) * crystallite_subdt(g,i,e) + sourceState(p)%p(s)%state(1:size_so(s),c) = sourceState(p)%p(s)%state(1:size_so(s),c) & + - r(1:size_so(s)) + crystallite_converged(g,i,e) = & + crystallite_converged(g,i,e) .and. converged(r(1:size_so(s)), & + sourceState(p)%p(s)%state(1:size_so(s),c), & + sourceState(p)%p(s)%atol(1:size_so(s))) + enddo - zeta = damper(plasticState(p)%dotState(:,c),plastic_dotState(1:size_pl,1),& - plastic_dotState(1:size_pl,2)) - plasticState(p)%dotState(:,c) = plasticState(p)%dotState(:,c) * zeta & - + plastic_dotState(1:size_pl,1) * (1.0_pReal - zeta) - r(1:size_pl) = plasticState(p)%state (1:size_pl,c) & - - plasticState(p)%subState0(1:size_pl,c) & - - plasticState(p)%dotState (1:size_pl,c) * crystallite_subdt(g,i,e) - plasticState(p)%state(1:size_pl,c) = plasticState(p)%state(1:size_pl,c) & - - r(1:size_pl) - crystallite_converged(g,i,e) = converged(r(1:size_pl), & - plasticState(p)%state(1:size_pl,c), & - plasticState(p)%atol(1:size_pl)) - do s = 1, phase_Nsources(p) - zeta = damper(sourceState(p)%p(s)%dotState(:,c), & - source_dotState(1:size_so(s),1,s),& - source_dotState(1:size_so(s),2,s)) - sourceState(p)%p(s)%dotState(:,c) = sourceState(p)%p(s)%dotState(:,c) * zeta & - + source_dotState(1:size_so(s),1,s)* (1.0_pReal - zeta) - r(1:size_so(s)) = sourceState(p)%p(s)%state (1:size_so(s),c) & - - sourceState(p)%p(s)%subState0(1:size_so(s),c) & - - sourceState(p)%p(s)%dotState (1:size_so(s),c) * crystallite_subdt(g,i,e) - sourceState(p)%p(s)%state(1:size_so(s),c) = sourceState(p)%p(s)%state(1:size_so(s),c) & - - r(1:size_so(s)) - crystallite_converged(g,i,e) = & - crystallite_converged(g,i,e) .and. converged(r(1:size_so(s)), & - sourceState(p)%p(s)%state(1:size_so(s),c), & - sourceState(p)%p(s)%atol(1:size_so(s))) - enddo + if(crystallite_converged(g,i,e)) then + broken = constitutive_deltaState(crystallite_S(1:3,1:3,g,i,e), & + crystallite_Fe(1:3,1:3,g,i,e), & + crystallite_Fi(1:3,1:3,g,i,e),g,i,e,p,c) + exit iteration + endif - if(crystallite_converged(g,i,e)) then - broken = constitutive_deltaState(crystallite_S(1:3,1:3,g,i,e), & - crystallite_Fe(1:3,1:3,g,i,e), & - crystallite_Fi(1:3,1:3,g,i,e),g,i,e,p,c) - exit iteration - endif - - enddo iteration + enddo iteration contains @@ -1262,10 +1262,11 @@ end subroutine integrateStateFPI !-------------------------------------------------------------------------------------------------- subroutine integrateStateEuler(g,i,e) - integer :: & + integer, intent(in) :: & e, & !< element index in element loop i, & !< integration point index in ip loop - g, & !< grain index in grain loop + g !< grain index in grain loop + integer :: & p, & c, & s, & @@ -1273,35 +1274,34 @@ subroutine integrateStateEuler(g,i,e) logical :: & broken + p = material_phaseAt(g,e) + c = material_phaseMemberAt(g,i,e) - p = material_phaseAt(g,e) - c = material_phaseMemberAt(g,i,e) + broken = constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), & + crystallite_partionedF0, & + crystallite_Fi(1:3,1:3,g,i,e), & + crystallite_partionedFp0, & + crystallite_subdt(g,i,e), g,i,e,p,c) + if(broken) return - broken = constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), & - crystallite_partionedF0, & - crystallite_Fi(1:3,1:3,g,i,e), & - crystallite_partionedFp0, & - crystallite_subdt(g,i,e), g,i,e,p,c) - if(broken) return + sizeDotState = plasticState(p)%sizeDotState + plasticState(p)%state(1:sizeDotState,c) = plasticState(p)%subState0(1:sizeDotState,c) & + + plasticState(p)%dotState (1:sizeDotState,c) & + * crystallite_subdt(g,i,e) + do s = 1, phase_Nsources(p) + sizeDotState = sourceState(p)%p(s)%sizeDotState + sourceState(p)%p(s)%state(1:sizeDotState,c) = sourceState(p)%p(s)%subState0(1:sizeDotState,c) & + + sourceState(p)%p(s)%dotState (1:sizeDotState,c) & + * crystallite_subdt(g,i,e) + enddo - sizeDotState = plasticState(p)%sizeDotState - plasticState(p)%state(1:sizeDotState,c) = plasticState(p)%subState0(1:sizeDotState,c) & - + plasticState(p)%dotState (1:sizeDotState,c) & - * crystallite_subdt(g,i,e) - do s = 1, phase_Nsources(p) - sizeDotState = sourceState(p)%p(s)%sizeDotState - sourceState(p)%p(s)%state(1:sizeDotState,c) = sourceState(p)%p(s)%subState0(1:sizeDotState,c) & - + sourceState(p)%p(s)%dotState (1:sizeDotState,c) & - * crystallite_subdt(g,i,e) - enddo + broken = constitutive_deltaState(crystallite_S(1:3,1:3,g,i,e), & + crystallite_Fe(1:3,1:3,g,i,e), & + crystallite_Fi(1:3,1:3,g,i,e),g,i,e,p,c) + if(broken) return - broken = constitutive_deltaState(crystallite_S(1:3,1:3,g,i,e), & - crystallite_Fe(1:3,1:3,g,i,e), & - crystallite_Fi(1:3,1:3,g,i,e),g,i,e,p,c) - if(broken) return - - broken = integrateStress(g,i,e) - crystallite_converged(g,i,e) = .not. broken + broken = integrateStress(g,i,e) + crystallite_converged(g,i,e) = .not. broken end subroutine integrateStateEuler @@ -1311,10 +1311,11 @@ end subroutine integrateStateEuler !-------------------------------------------------------------------------------------------------- subroutine integrateStateAdaptiveEuler(g,i,e) + integer, intent(in) :: & + e, & !< element index in element loop + i, & !< integration point index in ip loop + g !< grain index in grain loop integer :: & - e, & ! element index in element loop - i, & ! integration point index in ip loop - g, & ! grain index in grain loop p, & c, & s, & @@ -1326,60 +1327,60 @@ subroutine integrateStateAdaptiveEuler(g,i,e) real(pReal), dimension(constitutive_source_maxSizeDotState,maxval(phase_Nsources)) :: residuum_source - p = material_phaseAt(g,e) - c = material_phaseMemberAt(g,i,e) + p = material_phaseAt(g,e) + c = material_phaseMemberAt(g,i,e) - broken = constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), & - crystallite_partionedF0, & - crystallite_Fi(1:3,1:3,g,i,e), & - crystallite_partionedFp0, & - crystallite_subdt(g,i,e), g,i,e,p,c) - if(broken) return + broken = constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), & + crystallite_partionedF0, & + crystallite_Fi(1:3,1:3,g,i,e), & + crystallite_partionedFp0, & + crystallite_subdt(g,i,e), g,i,e,p,c) + if(broken) return - sizeDotState = plasticState(p)%sizeDotState + sizeDotState = plasticState(p)%sizeDotState - residuum_plastic(1:sizeDotState) = - plasticState(p)%dotstate(1:sizeDotState,c) * 0.5_pReal * crystallite_subdt(g,i,e) - plasticState(p)%state(1:sizeDotState,c) = plasticState(p)%subState0(1:sizeDotState,c) & - + plasticState(p)%dotstate(1:sizeDotState,c) * crystallite_subdt(g,i,e) - do s = 1, phase_Nsources(p) - sizeDotState = sourceState(p)%p(s)%sizeDotState + residuum_plastic(1:sizeDotState) = - plasticState(p)%dotstate(1:sizeDotState,c) * 0.5_pReal * crystallite_subdt(g,i,e) + plasticState(p)%state(1:sizeDotState,c) = plasticState(p)%subState0(1:sizeDotState,c) & + + plasticState(p)%dotstate(1:sizeDotState,c) * crystallite_subdt(g,i,e) + do s = 1, phase_Nsources(p) + sizeDotState = sourceState(p)%p(s)%sizeDotState - residuum_source(1:sizeDotState,s) = - sourceState(p)%p(s)%dotstate(1:sizeDotState,c) & - * 0.5_pReal * crystallite_subdt(g,i,e) - sourceState(p)%p(s)%state(1:sizeDotState,c) = sourceState(p)%p(s)%subState0(1:sizeDotState,c) & - + sourceState(p)%p(s)%dotstate(1:sizeDotState,c) * crystallite_subdt(g,i,e) - enddo + residuum_source(1:sizeDotState,s) = - sourceState(p)%p(s)%dotstate(1:sizeDotState,c) & + * 0.5_pReal * crystallite_subdt(g,i,e) + sourceState(p)%p(s)%state(1:sizeDotState,c) = sourceState(p)%p(s)%subState0(1:sizeDotState,c) & + + sourceState(p)%p(s)%dotstate(1:sizeDotState,c) * crystallite_subdt(g,i,e) + enddo - broken = constitutive_deltaState(crystallite_S(1:3,1:3,g,i,e), & - crystallite_Fe(1:3,1:3,g,i,e), & - crystallite_Fi(1:3,1:3,g,i,e),g,i,e,p,c) - if(broken) return + broken = constitutive_deltaState(crystallite_S(1:3,1:3,g,i,e), & + crystallite_Fe(1:3,1:3,g,i,e), & + crystallite_Fi(1:3,1:3,g,i,e),g,i,e,p,c) + if(broken) return - broken = integrateStress(g,i,e) - if(broken) return + broken = integrateStress(g,i,e) + if(broken) return - broken = constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), & - crystallite_partionedF0, & - crystallite_Fi(1:3,1:3,g,i,e), & - crystallite_partionedFp0, & - crystallite_subdt(g,i,e), g,i,e,p,c) - if(broken) return + broken = constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), & + crystallite_partionedF0, & + crystallite_Fi(1:3,1:3,g,i,e), & + crystallite_partionedFp0, & + crystallite_subdt(g,i,e), g,i,e,p,c) + if(broken) return - sizeDotState = plasticState(p)%sizeDotState - crystallite_converged(g,i,e) = converged(residuum_plastic(1:sizeDotState) & - + 0.5_pReal * plasticState(p)%dotState(:,c) * crystallite_subdt(g,i,e), & - plasticState(p)%state(1:sizeDotState,c), & - plasticState(p)%atol(1:sizeDotState)) + sizeDotState = plasticState(p)%sizeDotState + crystallite_converged(g,i,e) = converged(residuum_plastic(1:sizeDotState) & + + 0.5_pReal * plasticState(p)%dotState(:,c) * crystallite_subdt(g,i,e), & + plasticState(p)%state(1:sizeDotState,c), & + plasticState(p)%atol(1:sizeDotState)) - do s = 1, phase_Nsources(p) - sizeDotState = sourceState(p)%p(s)%sizeDotState - crystallite_converged(g,i,e) = & - crystallite_converged(g,i,e) .and. converged(residuum_source(1:sizeDotState,s) & - + 0.5_pReal*sourceState(p)%p(s)%dotState(:,c)*crystallite_subdt(g,i,e), & - sourceState(p)%p(s)%state(1:sizeDotState,c), & - sourceState(p)%p(s)%atol(1:sizeDotState)) - enddo + do s = 1, phase_Nsources(p) + sizeDotState = sourceState(p)%p(s)%sizeDotState + crystallite_converged(g,i,e) = & + crystallite_converged(g,i,e) .and. converged(residuum_source(1:sizeDotState,s) & + + 0.5_pReal*sourceState(p)%p(s)%dotState(:,c)*crystallite_subdt(g,i,e), & + sourceState(p)%p(s)%state(1:sizeDotState,c), & + sourceState(p)%p(s)%atol(1:sizeDotState)) + enddo end subroutine integrateStateAdaptiveEuler @@ -1389,7 +1390,7 @@ end subroutine integrateStateAdaptiveEuler !--------------------------------------------------------------------------------------------------- subroutine integrateStateRK4(g,i,e) - integer :: g,i,e + integer, intent(in) :: g,i,e real(pReal), dimension(3,3), parameter :: & A = reshape([& @@ -1412,7 +1413,7 @@ end subroutine integrateStateRK4 !--------------------------------------------------------------------------------------------------- subroutine integrateStateRKCK45(g,i,e) - integer :: g,i,e + integer, intent(in) :: g,i,e real(pReal), dimension(5,5), parameter :: & A = reshape([& @@ -1448,10 +1449,11 @@ subroutine integrateStateRK(g,i,e,A,B,CC,DB) real(pReal), dimension(:), intent(in) :: B, CC real(pReal), dimension(:), intent(in), optional :: DB + integer, intent(in) :: & + e, & !< element index in element loop + i, & !< integration point index in ip loop + g !< grain index in grain loop integer :: & - e, & ! element index in element loop - i, & ! integration point index in ip loop - g, & ! grain index in grain loop stage, & ! stage index in integration stage loop n, & p, & @@ -1463,97 +1465,97 @@ subroutine integrateStateRK(g,i,e,A,B,CC,DB) real(pReal), dimension(constitutive_source_maxSizeDotState,size(B),maxval(phase_Nsources)) :: source_RKdotState real(pReal), dimension(constitutive_plasticity_maxSizeDotState,size(B)) :: plastic_RKdotState - p = material_phaseAt(g,e) - c = material_phaseMemberAt(g,i,e) + p = material_phaseAt(g,e) + c = material_phaseMemberAt(g,i,e) - broken = constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), & - crystallite_partionedF0, & - crystallite_Fi(1:3,1:3,g,i,e), & - crystallite_partionedFp0, & - crystallite_subdt(g,i,e), g,i,e,p,c) - if(broken) return + broken = constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), & + crystallite_partionedF0, & + crystallite_Fi(1:3,1:3,g,i,e), & + crystallite_partionedFp0, & + crystallite_subdt(g,i,e), g,i,e,p,c) + if(broken) return - do stage = 1,size(A,1) - sizeDotState = plasticState(p)%sizeDotState - plastic_RKdotState(1:sizeDotState,stage) = plasticState(p)%dotState(:,c) - plasticState(p)%dotState(:,c) = A(1,stage) * plastic_RKdotState(1:sizeDotState,1) - do s = 1, phase_Nsources(p) - sizeDotState = sourceState(p)%p(s)%sizeDotState - source_RKdotState(1:sizeDotState,stage,s) = sourceState(p)%p(s)%dotState(:,c) - sourceState(p)%p(s)%dotState(:,c) = A(1,stage) * source_RKdotState(1:sizeDotState,1,s) - enddo + do stage = 1,size(A,1) + sizeDotState = plasticState(p)%sizeDotState + plastic_RKdotState(1:sizeDotState,stage) = plasticState(p)%dotState(:,c) + plasticState(p)%dotState(:,c) = A(1,stage) * plastic_RKdotState(1:sizeDotState,1) + do s = 1, phase_Nsources(p) + sizeDotState = sourceState(p)%p(s)%sizeDotState + source_RKdotState(1:sizeDotState,stage,s) = sourceState(p)%p(s)%dotState(:,c) + sourceState(p)%p(s)%dotState(:,c) = A(1,stage) * source_RKdotState(1:sizeDotState,1,s) + enddo - do n = 2, stage - sizeDotState = plasticState(p)%sizeDotState - plasticState(p)%dotState(:,c) = plasticState(p)%dotState(:,c) & - + A(n,stage) * plastic_RKdotState(1:sizeDotState,n) - do s = 1, phase_Nsources(p) - sizeDotState = sourceState(p)%p(s)%sizeDotState - sourceState(p)%p(s)%dotState(:,c) = sourceState(p)%p(s)%dotState(:,c) & - + A(n,stage) * source_RKdotState(1:sizeDotState,n,s) - enddo - enddo + do n = 2, stage + sizeDotState = plasticState(p)%sizeDotState + plasticState(p)%dotState(:,c) = plasticState(p)%dotState(:,c) & + + A(n,stage) * plastic_RKdotState(1:sizeDotState,n) + do s = 1, phase_Nsources(p) + sizeDotState = sourceState(p)%p(s)%sizeDotState + sourceState(p)%p(s)%dotState(:,c) = sourceState(p)%p(s)%dotState(:,c) & + + A(n,stage) * source_RKdotState(1:sizeDotState,n,s) + enddo + enddo - sizeDotState = plasticState(p)%sizeDotState - plasticState(p)%state(1:sizeDotState,c) = plasticState(p)%subState0(1:sizeDotState,c) & - + plasticState(p)%dotState (1:sizeDotState,c) & - * crystallite_subdt(g,i,e) - do s = 1, phase_Nsources(p) - sizeDotState = sourceState(p)%p(s)%sizeDotState - sourceState(p)%p(s)%state(1:sizeDotState,c) = sourceState(p)%p(s)%subState0(1:sizeDotState,c) & - + sourceState(p)%p(s)%dotState (1:sizeDotState,c) & - * crystallite_subdt(g,i,e) - enddo - - broken = integrateStress(g,i,e,CC(stage)) - if(broken) exit - - broken = constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), & - crystallite_partionedF0, & - crystallite_Fi(1:3,1:3,g,i,e), & - crystallite_partionedFp0, & - crystallite_subdt(g,i,e)*CC(stage), g,i,e,p,c) - if(broken) exit - - enddo - if(broken) return - - sizeDotState = plasticState(p)%sizeDotState - - plastic_RKdotState(1:sizeDotState,size(B)) = plasticState (p)%dotState(:,c) - plasticState(p)%dotState(:,c) = matmul(plastic_RKdotState(1:sizeDotState,1:size(B)),B) - plasticState(p)%state(1:sizeDotState,c) = plasticState(p)%subState0(1:sizeDotState,c) & - + plasticState(p)%dotState (1:sizeDotState,c) & + sizeDotState = plasticState(p)%sizeDotState + plasticState(p)%state(1:sizeDotState,c) = plasticState(p)%subState0(1:sizeDotState,c) & + + plasticState(p)%dotState (1:sizeDotState,c) & + * crystallite_subdt(g,i,e) + do s = 1, phase_Nsources(p) + sizeDotState = sourceState(p)%p(s)%sizeDotState + sourceState(p)%p(s)%state(1:sizeDotState,c) = sourceState(p)%p(s)%subState0(1:sizeDotState,c) & + + sourceState(p)%p(s)%dotState (1:sizeDotState,c) & * crystallite_subdt(g,i,e) - if(present(DB)) & - broken = .not. converged( matmul(plastic_RKdotState(1:sizeDotState,1:size(DB)),DB) & - * crystallite_subdt(g,i,e), & - plasticState(p)%state(1:sizeDotState,c), & - plasticState(p)%atol(1:sizeDotState)) + enddo - do s = 1, phase_Nsources(p) - sizeDotState = sourceState(p)%p(s)%sizeDotState + broken = integrateStress(g,i,e,CC(stage)) + if(broken) exit - source_RKdotState(1:sizeDotState,size(B),s) = sourceState(p)%p(s)%dotState(:,c) - sourceState(p)%p(s)%dotState(:,c) = matmul(source_RKdotState(1:sizeDotState,1:size(B),s),B) - sourceState(p)%p(s)%state(1:sizeDotState,c) = sourceState(p)%p(s)%subState0(1:sizeDotState,c) & - + sourceState(p)%p(s)%dotState (1:sizeDotState,c) & - * crystallite_subdt(g,i,e) - if(present(DB)) & - broken = broken .or. .not. converged(matmul(source_RKdotState(1:sizeDotState,1:size(DB),s),DB) & - * crystallite_subdt(g,i,e), & - sourceState(p)%p(s)%state(1:sizeDotState,c), & - sourceState(p)%p(s)%atol(1:sizeDotState)) - enddo - if(broken) return + broken = constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), & + crystallite_partionedF0, & + crystallite_Fi(1:3,1:3,g,i,e), & + crystallite_partionedFp0, & + crystallite_subdt(g,i,e)*CC(stage), g,i,e,p,c) + if(broken) exit - broken = constitutive_deltaState(crystallite_S(1:3,1:3,g,i,e), & - crystallite_Fe(1:3,1:3,g,i,e), & - crystallite_Fi(1:3,1:3,g,i,e),g,i,e,p,c) - if(broken) return + enddo + if(broken) return - broken = integrateStress(g,i,e) - crystallite_converged(g,i,e) = .not. broken + sizeDotState = plasticState(p)%sizeDotState + + plastic_RKdotState(1:sizeDotState,size(B)) = plasticState (p)%dotState(:,c) + plasticState(p)%dotState(:,c) = matmul(plastic_RKdotState(1:sizeDotState,1:size(B)),B) + plasticState(p)%state(1:sizeDotState,c) = plasticState(p)%subState0(1:sizeDotState,c) & + + plasticState(p)%dotState (1:sizeDotState,c) & + * crystallite_subdt(g,i,e) + if(present(DB)) & + broken = .not. converged( matmul(plastic_RKdotState(1:sizeDotState,1:size(DB)),DB) & + * crystallite_subdt(g,i,e), & + plasticState(p)%state(1:sizeDotState,c), & + plasticState(p)%atol(1:sizeDotState)) + + do s = 1, phase_Nsources(p) + sizeDotState = sourceState(p)%p(s)%sizeDotState + + source_RKdotState(1:sizeDotState,size(B),s) = sourceState(p)%p(s)%dotState(:,c) + sourceState(p)%p(s)%dotState(:,c) = matmul(source_RKdotState(1:sizeDotState,1:size(B),s),B) + sourceState(p)%p(s)%state(1:sizeDotState,c) = sourceState(p)%p(s)%subState0(1:sizeDotState,c) & + + sourceState(p)%p(s)%dotState (1:sizeDotState,c) & + * crystallite_subdt(g,i,e) + if(present(DB)) & + broken = broken .or. .not. converged(matmul(source_RKdotState(1:sizeDotState,1:size(DB),s),DB) & + * crystallite_subdt(g,i,e), & + sourceState(p)%p(s)%state(1:sizeDotState,c), & + sourceState(p)%p(s)%atol(1:sizeDotState)) + enddo + if(broken) return + + broken = constitutive_deltaState(crystallite_S(1:3,1:3,g,i,e), & + crystallite_Fe(1:3,1:3,g,i,e), & + crystallite_Fi(1:3,1:3,g,i,e),g,i,e,p,c) + if(broken) return + + broken = integrateStress(g,i,e) + crystallite_converged(g,i,e) = .not. broken end subroutine integrateStateRK From 31f86c28f4f89a2b6f18d87d9155cc53e4c6c643 Mon Sep 17 00:00:00 2001 From: Philip Eisenlohr Date: Tue, 29 Sep 2020 11:15:10 -0400 Subject: [PATCH 082/103] [skip ci] added parameter description; shortened hybrid_IA pre-loop logic --- python/damask/_rotation.py | 14 +++++--------- python/damask/util.py | 11 ++++------- 2 files changed, 9 insertions(+), 16 deletions(-) diff --git a/python/damask/_rotation.py b/python/damask/_rotation.py index 495f0c7ec..ebfc1b3df 100644 --- a/python/damask/_rotation.py +++ b/python/damask/_rotation.py @@ -665,9 +665,10 @@ class Rotation: Parameters ---------- - fname : file, str, or pathlib.Path - ODF file containing normalized probability (labeled 'intensity') - on a grid in Euler space (labeled 'euler'). + weights : numpy.ndarray of shape (n) + Texture intensity values (probability density or volume fraction) at Euler grid points. + Eulers : numpy.ndarray of shape (n,3) + Grid coordinates in Euler space at which weights are defined. N : integer, optional Number of discrete orientations to be sampled from the given ODF. Defaults to 500. @@ -680,10 +681,6 @@ class Rotation: A seed to initialize the BitGenerator. Defaults to None, i.e. unpredictable entropy will be pulled from the OS. - Notes - ----- - Explain here the different things that need to be considered - """ def _dg(eu,deg): """Return infinitesimal Euler space volume of bin(s).""" @@ -694,9 +691,8 @@ class Rotation: dg = 1.0 if fractions else _dg(Eulers,degrees) dV_V = dg * np.maximum(0.0,weights.squeeze()) - orientations = Rotation.from_Eulers(Eulers[util.hybrid_IA(dV_V,N,seed)],degrees) - return orientations + return Rotation.from_Eulers(Eulers[util.hybrid_IA(dV_V,N,seed)],degrees) @staticmethod diff --git a/python/damask/util.py b/python/damask/util.py index 12d4fd6cc..9a1b0b67b 100644 --- a/python/damask/util.py +++ b/python/damask/util.py @@ -189,20 +189,17 @@ def execution_stamp(class_name,function_name=None): def hybrid_IA(dist,N,seed=None): - rng = np.random.default_rng(seed) - N_opt_samples = max(np.count_nonzero(dist),N) # random subsampling if too little samples requested + N_opt_samples,N_inv_samples = (max(np.count_nonzero(dist),N),0) # random subsampling if too little samples requested scale_,scale,inc_factor = (0.0,float(N_opt_samples),1.0) - repeats = np.rint(scale*dist).astype(int) - N_inv_samples = np.sum(repeats) while (not np.isclose(scale, scale_)) and (N_inv_samples != N_opt_samples): + repeats = np.rint(scale*dist).astype(int) + N_inv_samples = np.sum(repeats) scale_,scale,inc_factor = (scale,scale+inc_factor*0.5*(scale - scale_), inc_factor*2.0) \ if N_inv_samples < N_opt_samples else \ (scale_,0.5*(scale_ + scale), 1.0) - repeats = np.rint(scale*dist).astype(int) - N_inv_samples = np.sum(repeats) - return np.repeat(np.arange(len(dist)),repeats)[rng.permutation(N_inv_samples)[:N]] + return np.repeat(np.arange(len(dist)),repeats)[np.random.default_rng(seed).permutation(N_inv_samples)[:N]] #################################################################################################### From 350f5eb66a024c68fd2ae0d0e7ce0bd4236b574b Mon Sep 17 00:00:00 2001 From: Philip Eisenlohr Date: Tue, 29 Sep 2020 12:55:00 -0400 Subject: [PATCH 083/103] improved from_ODF documentation --- python/damask/_rotation.py | 23 +++++++++++++++++------ 1 file changed, 17 insertions(+), 6 deletions(-) diff --git a/python/damask/_rotation.py b/python/damask/_rotation.py index ebfc1b3df..b0c9dab5b 100644 --- a/python/damask/_rotation.py +++ b/python/damask/_rotation.py @@ -656,12 +656,7 @@ class Rotation: @staticmethod def from_ODF(weights,Eulers,N=500,degrees=True,fractions=True,seed=None): """ - Sample discrete orientations from a binned ODF. - - References - ---------- - P. Eisenlohr, F. Roters, Computational Materials Science 42(4), 670-678, 2008 - https://doi.org/10.1016/j.commatsci.2007.09.015 + Sample discrete values from a binned ODF. Parameters ---------- @@ -681,6 +676,22 @@ class Rotation: A seed to initialize the BitGenerator. Defaults to None, i.e. unpredictable entropy will be pulled from the OS. + Returns + ------- + samples : damask.Rotation of shape (N) + Array of sampled rotations closely representing the input ODF. + + Notes + ----- + Due to the distortion of Euler space in the vicinity of ϕ = 0, probability densities, p, defined on + grid points with ϕ = 0 will never result in reconstructed orientations as their dV/V = p dγ = p × 0. + Hence, it is recommended to transform any such dataset to cell centers that avoid grid points at ϕ = 0. + + References + ---------- + P. Eisenlohr, F. Roters, Computational Materials Science 42(4), 670-678, 2008 + https://doi.org/10.1016/j.commatsci.2007.09.015 + """ def _dg(eu,deg): """Return infinitesimal Euler space volume of bin(s).""" From 76f07e4c1e0210ca2f0a5410b0eb8d1e80275d05 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Tue, 29 Sep 2020 19:25:50 +0200 Subject: [PATCH 084/103] tmp_path is preferred over tmpdir --- python/tests/test_Colormap.py | 18 ++++++++-------- python/tests/test_Geom.py | 40 +++++++++++++++++------------------ python/tests/test_Table.py | 24 ++++++++++----------- 3 files changed, 41 insertions(+), 41 deletions(-) diff --git a/python/tests/test_Colormap.py b/python/tests/test_Colormap.py index 7f12469f8..71d896016 100644 --- a/python/tests/test_Colormap.py +++ b/python/tests/test_Colormap.py @@ -77,17 +77,17 @@ class TestColormap: @pytest.mark.parametrize('format',['ASCII','paraview','GOM','gmsh']) @pytest.mark.parametrize('model',['rgb','hsv','hsl','xyz','lab','msh']) - def test_from_range(self,model,format,tmpdir): + def test_from_range(self,model,format,tmp_path): N = np.random.randint(2,256) c = Colormap.from_range(np.random.rand(3),np.random.rand(3),model=model,N=N) # noqa - eval(f'c.save_{format}(tmpdir/"color_out")') + eval(f'c.save_{format}(tmp_path/"color_out")') @pytest.mark.parametrize('format',['ASCII','paraview','GOM','gmsh']) @pytest.mark.parametrize('name',['strain','gnuplot','Greys','PRGn','viridis']) - def test_from_predefined(self,name,format,tmpdir): + def test_from_predefined(self,name,format,tmp_path): N = np.random.randint(2,256) c = Colormap.from_predefined(name,N) # noqa - os.chdir(tmpdir) + os.chdir(tmp_path) eval(f'c.save_{format}()') @pytest.mark.parametrize('format,name',[('ASCII','test.txt'), @@ -95,9 +95,9 @@ class TestColormap: ('GOM','test.legend'), ('gmsh','test.msh') ]) - def test_write_filehandle(self,format,name,tmpdir): + def test_write_filehandle(self,format,name,tmp_path): c = Colormap.from_predefined('Dark2') # noqa - fname = tmpdir/name + fname = tmp_path/name with open(fname,'w') as f: # noqa eval(f'c.save_{format}(f)') for i in range(10): @@ -146,14 +146,14 @@ class TestColormap: ('GOM','.legend'), ('gmsh','.msh') ]) - def test_compare_reference(self,format,ext,tmpdir,reference_dir,update): + def test_compare_reference(self,format,ext,tmp_path,reference_dir,update): name = 'binary' c = Colormap.from_predefined(name) # noqa if update: os.chdir(reference_dir) eval(f'c.save_{format}()') else: - os.chdir(tmpdir) + os.chdir(tmp_path) eval(f'c.save_{format}()') time.sleep(.5) - assert filecmp.cmp(tmpdir/(name+ext),reference_dir/(name+ext)) + assert filecmp.cmp(tmp_path/(name+ext),reference_dir/(name+ext)) diff --git a/python/tests/test_Geom.py b/python/tests/test_Geom.py index 9aff60186..21eb38cdd 100644 --- a/python/tests/test_Geom.py +++ b/python/tests/test_Geom.py @@ -42,46 +42,46 @@ class TestGeom: assert str(default.diff(new)) != '' - def test_write_read_str(self,default,tmpdir): - default.save_ASCII(str(tmpdir/'default.geom')) - new = Geom.load_ASCII(str(tmpdir/'default.geom')) + def test_write_read_str(self,default,tmp_path): + default.save_ASCII(str(tmp_path/'default.geom')) + new = Geom.load_ASCII(str(tmp_path/'default.geom')) assert geom_equal(default,new) - def test_write_read_file(self,default,tmpdir): - with open(tmpdir/'default.geom','w') as f: + def test_write_read_file(self,default,tmp_path): + with open(tmp_path/'default.geom','w') as f: default.save_ASCII(f,compress=True) - with open(tmpdir/'default.geom') as f: + with open(tmp_path/'default.geom') as f: new = Geom.load_ASCII(f) assert geom_equal(default,new) - def test_read_write_vtr(self,default,tmpdir): - default.save(tmpdir/'default') + def test_read_write_vtr(self,default,tmp_path): + default.save(tmp_path/'default') for _ in range(10): time.sleep(.2) - if os.path.exists(tmpdir/'default.vtr'): break + if os.path.exists(tmp_path/'default.vtr'): break - new = Geom.load(tmpdir/'default.vtr') + new = Geom.load(tmp_path/'default.vtr') assert geom_equal(new,default) - def test_invalid_geom(self,tmpdir): - with open('invalid_file','w') as f: + def test_invalid_geom(self,tmp_path): + with open(tmp_path/'invalid_file','w') as f: f.write('this is not a valid header') - with open('invalid_file','r') as f: + with open(tmp_path/'invalid_file','r') as f: with pytest.raises(TypeError): Geom.load_ASCII(f) - def test_invalid_vtr(self,tmpdir): + def test_invalid_vtr(self,tmp_path): v = VTK.from_rectilinearGrid(np.random.randint(5,10,3)*2,np.random.random(3) + 1.0) - v.save(tmpdir/'no_materialpoint.vtr') + v.save(tmp_path/'no_materialpoint.vtr') for _ in range(10): time.sleep(.2) - if os.path.exists(tmpdir/'no_materialpoint.vtr'): break + if os.path.exists(tmp_path/'no_materialpoint.vtr'): break with pytest.raises(ValueError): - Geom.load(tmpdir/'no_materialpoint.vtr') + Geom.load(tmp_path/'no_materialpoint.vtr') def test_invalid_material(self): with pytest.raises(TypeError): @@ -92,9 +92,9 @@ class TestGeom: assert g.material.dtype in np.sctypes['int'] @pytest.mark.parametrize('compress',[True,False]) - def test_compress(self,default,tmpdir,compress): - default.save_ASCII(tmpdir/'default.geom',compress=compress) - new = Geom.load_ASCII(tmpdir/'default.geom') + def test_compress(self,default,tmp_path,compress): + default.save_ASCII(tmp_path/'default.geom',compress=compress) + new = Geom.load_ASCII(tmp_path/'default.geom') assert geom_equal(new,default) diff --git a/python/tests/test_Table.py b/python/tests/test_Table.py index 7a86c7fed..9dad681bd 100644 --- a/python/tests/test_Table.py +++ b/python/tests/test_Table.py @@ -34,31 +34,31 @@ class TestTable: assert np.allclose(d,1.0) and d.shape[1:] == (1,) @pytest.mark.parametrize('mode',['str','path']) - def test_write_read(self,default,tmpdir,mode): - default.save(tmpdir/'default.txt') + def test_write_read(self,default,tmp_path,mode): + default.save(tmp_path/'default.txt') if mode == 'path': - new = Table.load(tmpdir/'default.txt') + new = Table.load(tmp_path/'default.txt') elif mode == 'str': - new = Table.load(str(tmpdir/'default.txt')) + new = Table.load(str(tmp_path/'default.txt')) assert all(default.data==new.data) and default.shapes == new.shapes - def test_write_read_file(self,default,tmpdir): - with open(tmpdir/'default.txt','w') as f: + def test_write_read_file(self,default,tmp_path): + with open(tmp_path/'default.txt','w') as f: default.save(f) - with open(tmpdir/'default.txt') as f: + with open(tmp_path/'default.txt') as f: new = Table.load(f) assert all(default.data==new.data) and default.shapes == new.shapes - def test_write_read_legacy_style(self,default,tmpdir): - with open(tmpdir/'legacy.txt','w') as f: + def test_write_read_legacy_style(self,default,tmp_path): + with open(tmp_path/'legacy.txt','w') as f: default.save(f,legacy=True) - with open(tmpdir/'legacy.txt') as f: + with open(tmp_path/'legacy.txt') as f: new = Table.load(f) assert all(default.data==new.data) and default.shapes == new.shapes - def test_write_invalid_format(self,default,tmpdir): + def test_write_invalid_format(self,default,tmp_path): with pytest.raises(TypeError): - default.save(tmpdir/'shouldnotbethere.txt',format='invalid') + default.save(tmp_path/'shouldnotbethere.txt',format='invalid') @pytest.mark.parametrize('mode',['str','path']) def test_read_ang(self,reference_dir,mode): From 30ce340a6d87ed55f67d914f2f593db32f6a8602 Mon Sep 17 00:00:00 2001 From: Test User Date: Wed, 30 Sep 2020 00:18:40 +0200 Subject: [PATCH 085/103] [skip ci] updated version information after successful test of v3.0.0-alpha-381-g63f2419e9 --- VERSION | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/VERSION b/VERSION index 9b2b9492e..f11394f7c 100644 --- a/VERSION +++ b/VERSION @@ -1 +1 @@ -v3.0.0-alpha-374-gc545ad869 +v3.0.0-alpha-381-g63f2419e9 From bd5d557fbb560d08ace9d3fa8b0d3c91832d7639 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Tue, 29 Sep 2020 23:32:17 +0200 Subject: [PATCH 086/103] untangling the spaghetti subLp and subLi are local variables --- src/crystallite.f90 | 50 +++++++++++++-------------------------------- 1 file changed, 14 insertions(+), 36 deletions(-) diff --git a/src/crystallite.f90 b/src/crystallite.f90 index 9411cdfc7..ad1c2d4a7 100644 --- a/src/crystallite.f90 +++ b/src/crystallite.f90 @@ -54,12 +54,10 @@ module crystallite ! crystallite_Lp0, & !< plastic velocitiy grad at start of FE inc crystallite_partionedLp0, & !< plastic velocity grad at start of homog inc - crystallite_subLp0,& !< plastic velocity grad at start of crystallite inc ! crystallite_Li, & !< current intermediate velocitiy grad (end of converged time step) crystallite_Li0, & !< intermediate velocitiy grad at start of FE inc crystallite_partionedLi0, & !< intermediate velocity grad at start of homog inc - crystallite_subLi0, & !< intermediate velocity grad at start of crystallite inc ! crystallite_S0, & !< 2nd Piola-Kirchhoff stress vector at start of FE inc crystallite_partionedS0 !< 2nd Piola-Kirchhoff stress vector at start of homog inc @@ -183,7 +181,6 @@ subroutine crystallite_init crystallite_Li,crystallite_Lp, & crystallite_subF,crystallite_subF0, & crystallite_subFp0,crystallite_subFi0, & - crystallite_subLi0,crystallite_subLp0, & source = crystallite_partionedF) allocate(crystallite_dPdF(3,3,3,3,cMax,iMax,eMax),source=0.0_pReal) @@ -326,34 +323,17 @@ function crystallite_stress() startIP, endIP, & s logical, dimension(homogenization_maxNgrains,discretization_nIP,discretization_nElem) :: todo !ToDo: need to set some values to false for different Ngrains - todo = .false. + real(pReal), dimension(:,:,:,:,:), allocatable :: & + subLp0,& !< plastic velocity grad at start of crystallite inc + subLi0 !< intermediate velocity grad at start of crystallite inc + + + todo = .false. + + subLp0 = crystallite_partionedLp0 + subLi0 = crystallite_partionedLi0 + -#ifdef DEBUG - if (debugCrystallite%selective & - .and. FEsolving_execElem(1) <= debugCrystallite%element & - .and. debugCrystallite%element <= FEsolving_execElem(2)) then - print'(/,a,i8,1x,i2,1x,i3)', '<< CRYST stress >> boundary and initial values at el ip ipc ', & - debugCrystallite%element,debugCrystallite%ip, debugCrystallite%grain - print'(a,/,3(12x,3(f14.9,1x)/))', '<< CRYST stress >> F ', & - transpose(crystallite_partionedF(1:3,1:3,debugCrystallite%grain, & - debugCrystallite%ip,debugCrystallite%element)) - print'(a,/,3(12x,3(f14.9,1x)/))', '<< CRYST stress >> F0 ', & - transpose(crystallite_partionedF0(1:3,1:3,debugCrystallite%grain, & - debugCrystallite%ip,debugCrystallite%element)) - print'(a,/,3(12x,3(f14.9,1x)/))', '<< CRYST stress >> Fp0', & - transpose(crystallite_partionedFp0(1:3,1:3,debugCrystallite%grain, & - debugCrystallite%ip,debugCrystallite%element)) - print'(a,/,3(12x,3(f14.9,1x)/))', '<< CRYST stress >> Fi0', & - transpose(crystallite_partionedFi0(1:3,1:3,debugCrystallite%grain, & - debugCrystallite%ip,debugCrystallite%element)) - print'(a,/,3(12x,3(f14.9,1x)/))', '<< CRYST stress >> Lp0', & - transpose(crystallite_partionedLp0(1:3,1:3,debugCrystallite%grain, & - debugCrystallite%ip,debugCrystallite%element)) - print'(a,/,3(12x,3(f14.9,1x)/))', '<< CRYST stress >> Li0', & - transpose(crystallite_partionedLi0(1:3,1:3,debugCrystallite%grain, & - debugCrystallite%ip,debugCrystallite%element)) - endif -#endif !-------------------------------------------------------------------------------------------------- ! initialize to starting condition @@ -370,9 +350,7 @@ function crystallite_stress() sourceState(material_phaseAt(c,e))%p(s)%partionedState0(:,material_phaseMemberAt(c,i,e)) enddo crystallite_subFp0(1:3,1:3,c,i,e) = crystallite_partionedFp0(1:3,1:3,c,i,e) - crystallite_subLp0(1:3,1:3,c,i,e) = crystallite_partionedLp0(1:3,1:3,c,i,e) crystallite_subFi0(1:3,1:3,c,i,e) = crystallite_partionedFi0(1:3,1:3,c,i,e) - crystallite_subLi0(1:3,1:3,c,i,e) = crystallite_partionedLi0(1:3,1:3,c,i,e) crystallite_subF0(1:3,1:3,c,i,e) = crystallite_partionedF0(1:3,1:3,c,i,e) crystallite_subFrac(c,i,e) = 0.0_pReal crystallite_subStep(c,i,e) = 1.0_pReal/num%subStepSizeCryst @@ -415,8 +393,8 @@ function crystallite_stress() todo(c,i,e) = crystallite_subStep(c,i,e) > 0.0_pReal ! still time left to integrate on? if (todo(c,i,e)) then crystallite_subF0 (1:3,1:3,c,i,e) = crystallite_subF(1:3,1:3,c,i,e) - crystallite_subLp0(1:3,1:3,c,i,e) = crystallite_Lp (1:3,1:3,c,i,e) - crystallite_subLi0(1:3,1:3,c,i,e) = crystallite_Li (1:3,1:3,c,i,e) + subLp0(1:3,1:3,c,i,e) = crystallite_Lp (1:3,1:3,c,i,e) + subLi0(1:3,1:3,c,i,e) = crystallite_Li (1:3,1:3,c,i,e) crystallite_subFp0(1:3,1:3,c,i,e) = crystallite_Fp (1:3,1:3,c,i,e) crystallite_subFi0(1:3,1:3,c,i,e) = crystallite_Fi (1:3,1:3,c,i,e) plasticState( material_phaseAt(c,e))%subState0(:,material_phaseMemberAt(c,i,e)) & @@ -435,8 +413,8 @@ function crystallite_stress() crystallite_Fi (1:3,1:3,c,i,e) = crystallite_subFi0(1:3,1:3,c,i,e) crystallite_S (1:3,1:3,c,i,e) = crystallite_S0 (1:3,1:3,c,i,e) if (crystallite_subStep(c,i,e) < 1.0_pReal) then ! actual (not initial) cutback - crystallite_Lp (1:3,1:3,c,i,e) = crystallite_subLp0(1:3,1:3,c,i,e) - crystallite_Li (1:3,1:3,c,i,e) = crystallite_subLi0(1:3,1:3,c,i,e) + crystallite_Lp (1:3,1:3,c,i,e) = subLp0(1:3,1:3,c,i,e) + crystallite_Li (1:3,1:3,c,i,e) = subLi0(1:3,1:3,c,i,e) endif plasticState (material_phaseAt(c,e))%state( :,material_phaseMemberAt(c,i,e)) & = plasticState(material_phaseAt(c,e))%subState0(:,material_phaseMemberAt(c,i,e)) From 54e4943353829708cf09d97ac1e3d085a75d8c81 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Wed, 30 Sep 2020 07:10:15 +0200 Subject: [PATCH 087/103] get rid of shell scripts --- processing/pre/geom_fromMinimalSurface.py | 21 ++------------ python/damask/_geom.py | 35 +++++++++++++++++++++++ python/tests/test_Geom.py | 18 ++++++++++++ 3 files changed, 55 insertions(+), 19 deletions(-) diff --git a/processing/pre/geom_fromMinimalSurface.py b/processing/pre/geom_fromMinimalSurface.py index 83d1a3684..bf0e2b754 100755 --- a/processing/pre/geom_fromMinimalSurface.py +++ b/processing/pre/geom_fromMinimalSurface.py @@ -4,8 +4,6 @@ import os import sys from optparse import OptionParser -import numpy as np - import damask @@ -15,13 +13,6 @@ scriptID = ' '.join([scriptName,damask.version]) minimal_surfaces = ['primitive','gyroid','diamond'] -surface = { - 'primitive': lambda x,y,z: np.cos(x)+np.cos(y)+np.cos(z), - 'gyroid': lambda x,y,z: np.sin(x)*np.cos(y)+np.sin(y)*np.cos(z)+np.cos(x)*np.sin(z), - 'diamond': lambda x,y,z: np.cos(x-y)*np.cos(z)+np.sin(x+y)*np.sin(z), - } - - # -------------------------------------------------------------------- # MAIN # -------------------------------------------------------------------- @@ -71,16 +62,8 @@ parser.set_defaults(type = minimal_surfaces[0], name = None if filename == [] else filename[0] damask.util.report(scriptName,name) -x,y,z = np.meshgrid(options.periods*2.0*np.pi*(np.arange(options.grid[0])+0.5)/options.grid[0], - options.periods*2.0*np.pi*(np.arange(options.grid[1])+0.5)/options.grid[1], - options.periods*2.0*np.pi*(np.arange(options.grid[2])+0.5)/options.grid[2], - indexing='xy',sparse=True) - -microstructure = np.where(options.threshold < surface[options.type](x,y,z), - options.microstructure[1],options.microstructure[0]) - -geom=damask.Geom(microstructure,options.size, - comments=[scriptID + ' ' + ' '.join(sys.argv[1:])]) +geom=damask.Geom.from_minimal_surface(options.grid,options.size,options.type,options.threshold, + options.periods,options.microstructure) damask.util.croak(geom) geom.save_ASCII(sys.stdout if name is None else name,compress=False) diff --git a/python/damask/_geom.py b/python/damask/_geom.py index 6a7bc3c0e..aaa534df0 100644 --- a/python/damask/_geom.py +++ b/python/damask/_geom.py @@ -292,6 +292,41 @@ class Geom: ) + @staticmethod + def from_minimal_surface(grid,size,surface,threshold=0.0,periods=1,materials=(1,2)): + """ + Generate geometry from definition of minimal surface. + + Parameters + ---------- + grid : int numpy.ndarray of shape (3) + Number of grid points in x,y,z direction. + size : list or numpy.ndarray of shape (3) + Physical size of the geometry in meter. + surface : {'primitive', 'gyroid', 'diamond'} + Type of the minimal surface. + threshold : float, optional. + Threshold of the minimal surface. Defaults to 0.0. + periods : integer, optional. + Number of periods per unit cell. Defaults to 1. + materials : (int, int), optional + Material IDs. Defaults to (1,2). + + """ + s = {'primitive': lambda x,y,z: np.cos(x)+np.cos(y)+np.cos(z), + 'gyroid': lambda x,y,z: np.sin(x)*np.cos(y)+np.sin(y)*np.cos(z)+np.cos(x)*np.sin(z), + 'diamond': lambda x,y,z: np.cos(x-y)*np.cos(z)+np.sin(x+y)*np.sin(z), + } + x,y,z = np.meshgrid(periods*2.0*np.pi*(np.arange(grid[0])+0.5)/grid[0], + periods*2.0*np.pi*(np.arange(grid[1])+0.5)/grid[1], + periods*2.0*np.pi*(np.arange(grid[2])+0.5)/grid[2], + indexing='ij',sparse=True) + return Geom(material = np.where(threshold < s[surface](x,y,z),materials[1],materials[0]), + size = size, + comments = util.execution_stamp('Geom','from_minimal_surface'), + ) + + def save_ASCII(self,fname,compress=None): """ Writes a geom file. diff --git a/python/tests/test_Geom.py b/python/tests/test_Geom.py index 21eb38cdd..27829ac34 100644 --- a/python/tests/test_Geom.py +++ b/python/tests/test_Geom.py @@ -360,3 +360,21 @@ class TestGeom: elif approach == 'Voronoi': geom = Geom.from_Voronoi_tessellation(grid,size,seeds, periodic=np.random.random()>0.5) assert np.all(geom.material == material) + + + @pytest.mark.parametrize('surface',['primitive','gyroid','diamond']) + def test_minimal_surface_basic_properties(self,surface): + grid = np.random.randint(60,100,3) + size = np.ones(3)+np.random.rand(3) + threshold = np.random.rand()-.5 + periods = np.random.randint(2)+1 + materials = np.random.randint(0,40,2) + geom = Geom.from_minimal_surface(grid,size,surface,threshold,periods,materials) + assert geom.material.max() == materials.max() and geom.material.min() == materials.min() \ + and (geom.size == size).all() and (geom.grid == grid).all() + + @pytest.mark.parametrize('surface',['primitive','gyroid','diamond']) + def test_minimal_surface_volume(self,surface): + grid = np.ones(3,dtype='i')*64 + geom = Geom.from_minimal_surface(grid,np.ones(3),surface) + assert np.isclose(np.count_nonzero(geom.material==1)/np.prod(geom.grid),.5) From ff0fdfa0aa084334739d9c4e7ab768a1764aff9f Mon Sep 17 00:00:00 2001 From: Test User Date: Wed, 30 Sep 2020 09:00:48 +0200 Subject: [PATCH 088/103] [skip ci] updated version information after successful test of v3.0.0-alpha-389-ge1d459aab --- VERSION | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/VERSION b/VERSION index f11394f7c..5e3f5a21a 100644 --- a/VERSION +++ b/VERSION @@ -1 +1 @@ -v3.0.0-alpha-381-g63f2419e9 +v3.0.0-alpha-389-ge1d459aab From 7f8613f6ad32b56aa3c7c144ff103b18ce595a92 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Wed, 30 Sep 2020 10:24:24 +0200 Subject: [PATCH 089/103] always update dPdF (was the default anyways) --- examples/ConfigFiles/numerics.yaml | 1 - src/CPFEM.f90 | 11 +---------- src/grid/spectral_utilities.f90 | 2 +- src/homogenization.f90 | 5 ++--- src/mesh/FEM_utilities.f90 | 2 +- 5 files changed, 5 insertions(+), 16 deletions(-) diff --git a/examples/ConfigFiles/numerics.yaml b/examples/ConfigFiles/numerics.yaml index 4180a7d8a..2ff31930e 100644 --- a/examples/ConfigFiles/numerics.yaml +++ b/examples/ConfigFiles/numerics.yaml @@ -78,7 +78,6 @@ crystallite: iJacoLpresiduum: 1 # frequency of Jacobian update of residuum in Lp commercialFEM: - ijacostiffness: 1 # frequency of stiffness update unitlength: 1 # physical length of one computational length unit generic: diff --git a/src/CPFEM.f90 b/src/CPFEM.f90 index 05255e2a1..ec36ffe12 100644 --- a/src/CPFEM.f90 +++ b/src/CPFEM.f90 @@ -103,7 +103,6 @@ end subroutine CPFEM_initAll subroutine CPFEM_init class(tNode), pointer :: & - num_commercialFEM, & debug_CPFEM print'(/,a)', ' <<<+- CPFEM init -+>>>'; flush(IO_STDOUT) @@ -112,12 +111,6 @@ subroutine CPFEM_init allocate(CPFEM_dcsdE( 6,6,discretization_nIP,discretization_nElem), source= 0.0_pReal) allocate(CPFEM_dcsdE_knownGood(6,6,discretization_nIP,discretization_nElem), source= 0.0_pReal) -!------------------------------------------------------------------------------ -! read numerical parameters and do sanity check - num_commercialFEM => config_numerics%get('commercialFEM',defaultVal=emptyDict) - num%iJacoStiffness = num_commercialFEM%get_asInt('ijacostiffness',defaultVal=1) - if (num%iJacoStiffness < 1) call IO_error(301,ext_msg='iJacoStiffness') - !------------------------------------------------------------------------------ ! read debug options @@ -161,7 +154,6 @@ subroutine CPFEM_general(mode, ffn, ffn1, temperature_inp, dt, elFE, ip, cauchyS integer(pInt) elCP, & ! crystal plasticity element number i, j, k, l, m, n, ph, homog, mySource - logical updateJaco ! flag indicating if Jacobian has to be updated real(pReal), parameter :: ODD_STRESS = 1e15_pReal, & !< return value for stress if terminallyIll ODD_JACOBIAN = 1e50_pReal !< return value for jacobian if terminallyIll @@ -204,12 +196,11 @@ subroutine CPFEM_general(mode, ffn, ffn1, temperature_inp, dt, elFE, ip, cauchyS CPFEM_dcsde(1:6,1:6,ip,elCP) = ODD_JACOBIAN * math_eye(6) else validCalculation - updateJaco = mod(cycleCounter,num%iJacoStiffness) == 0 FEsolving_execElem = elCP FEsolving_execIP = ip if (debugCPFEM%extensive) & print'(a,i8,1x,i2)', '<< CPFEM >> calculation for elFE ip ',elFE,ip - call materialpoint_stressAndItsTangent(updateJaco, dt) + call materialpoint_stressAndItsTangent(dt) terminalIllness: if (terminallyIll) then diff --git a/src/grid/spectral_utilities.f90 b/src/grid/spectral_utilities.f90 index dc6430c72..b32e8aa5f 100644 --- a/src/grid/spectral_utilities.f90 +++ b/src/grid/spectral_utilities.f90 @@ -827,7 +827,7 @@ subroutine utilities_constitutiveResponse(P,P_av,C_volAvg,C_minmaxAvg,& materialpoint_F = reshape(F,[3,3,1,product(grid(1:2))*grid3]) ! set materialpoint target F to estimated field - call materialpoint_stressAndItsTangent(.true.,timeinc) ! calculate P field + call materialpoint_stressAndItsTangent(timeinc) ! calculate P field P = reshape(materialpoint_P, [3,3,grid(1),grid(2),grid3]) P_av = sum(sum(sum(P,dim=5),dim=4),dim=3) * wgt ! average of P diff --git a/src/homogenization.f90 b/src/homogenization.f90 index 0e9ca386b..9ba5ae6de 100644 --- a/src/homogenization.f90 +++ b/src/homogenization.f90 @@ -204,10 +204,9 @@ end subroutine homogenization_init !-------------------------------------------------------------------------------------------------- !> @brief parallelized calculation of stress and corresponding tangent at material points !-------------------------------------------------------------------------------------------------- -subroutine materialpoint_stressAndItsTangent(updateJaco,dt) +subroutine materialpoint_stressAndItsTangent(dt) real(pReal), intent(in) :: dt !< time increment - logical, intent(in) :: updateJaco !< initiating Jacobian update integer :: & NiterationHomog, & NiterationMPstate, & @@ -375,7 +374,7 @@ subroutine materialpoint_stressAndItsTangent(updateJaco,dt) enddo cutBackLooping - if(updateJaco) call crystallite_stressTangent + call crystallite_stressTangent if (.not. terminallyIll ) then call crystallite_orientations() ! calculate crystal orientations diff --git a/src/mesh/FEM_utilities.f90 b/src/mesh/FEM_utilities.f90 index 4d9786112..4927d0c1c 100644 --- a/src/mesh/FEM_utilities.f90 +++ b/src/mesh/FEM_utilities.f90 @@ -160,7 +160,7 @@ subroutine utilities_constitutiveResponse(timeinc,P_av,forwardData) print'(/,a)', ' ... evaluating constitutive response ......................................' - call materialpoint_stressAndItsTangent(.true.,timeinc) ! calculate P field + call materialpoint_stressAndItsTangent(timeinc) ! calculate P field cutBack = .false. ! reset cutBack status From 57174d0abaf3258b74b909df2dcce0ac4e9477d9 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Wed, 30 Sep 2020 10:53:05 +0200 Subject: [PATCH 090/103] do not store dPdF at the crystallite level --- examples/ConfigFiles/numerics.yaml | 62 +++++++++++++++--------------- src/crystallite.f90 | 41 +++++++------------- src/homogenization.f90 | 26 +++++++++---- 3 files changed, 63 insertions(+), 66 deletions(-) diff --git a/examples/ConfigFiles/numerics.yaml b/examples/ConfigFiles/numerics.yaml index 2ff31930e..e25c86f5a 100644 --- a/examples/ConfigFiles/numerics.yaml +++ b/examples/ConfigFiles/numerics.yaml @@ -3,27 +3,27 @@ homogenization: mech: - RGC: - atol: 1.0e+4 # absolute tolerance of RGC residuum (in Pa) - rtol: 1.0e-3 # relative ... - amax: 1.0e+10 # absolute upper-limit of RGC residuum (in Pa) - rmax: 1.0e+2 # relative ... - perturbpenalty: 1.0e-7 # perturbation for computing penalty tangent - relevantmismatch: 1.0e-5 # minimum threshold of mismatch - viscositypower: 1.0e+0 # power (sensitivity rate) of numerical viscosity in RGC scheme - viscositymodulus: 0.0e+0 # stress modulus of RGC numerical viscosity (zero = without numerical viscosity) - # suggestion: larger than the aTol_RGC but still far below the expected flow stress of material - refrelaxationrate: 1.0e-3 # reference rate of relaxation (about the same magnitude as straining rate, possibly a bit higher) - maxrelaxationrate: 1.0e+0 # threshold of maximum relaxation vector increment (if exceed this then cutback) - maxvoldiscrepancy: 1.0e-5 # maximum allowable relative volume discrepancy - voldiscrepancymod: 1.0e+12 - discrepancypower: 5.0 - + RGC: + atol: 1.0e+4 # absolute tolerance of RGC residuum (in Pa) + rtol: 1.0e-3 # relative ... + amax: 1.0e+10 # absolute upper-limit of RGC residuum (in Pa) + rmax: 1.0e+2 # relative ... + perturbpenalty: 1.0e-7 # perturbation for computing penalty tangent + relevantmismatch: 1.0e-5 # minimum threshold of mismatch + viscositypower: 1.0e+0 # power (sensitivity rate) of numerical viscosity in RGC scheme + viscositymodulus: 0.0e+0 # stress modulus of RGC numerical viscosity (zero = without numerical viscosity) + # suggestion: larger than the aTol_RGC but still far below the expected flow stress of material + refrelaxationrate: 1.0e-3 # reference rate of relaxation (about the same magnitude as straining rate, possibly a bit higher) + maxrelaxationrate: 1.0e+0 # threshold of maximum relaxation vector increment (if exceed this then cutback) + maxvoldiscrepancy: 1.0e-5 # maximum allowable relative volume discrepancy + voldiscrepancymod: 1.0e+12 + discrepancypower: 5.0 + generic: - subStepMin: 1.0e-3 # minimum (relative) size of sub-step allowed during cutback in homogenization - subStepSize: 0.25 # size of substep when cutback introduced in homogenization (value between 0 and 1) - stepIncrease: 1.5 # increase of next substep size when previous substep converged in homogenization (value higher than 1) - nMPstate: 10 # materialpoint state loop limit + subStepMin: 1.0e-3 # minimum (relative) size of sub-step allowed during cutback in homogenization + subStepSize: 0.25 # size of substep when cutback introduced in homogenization (value between 0 and 1) + stepIncrease: 1.5 # increase of next substep size when previous substep converged in homogenization (value higher than 1) + nMPstate: 10 # materialpoint state loop limit grid: eps_div_atol: 1.0e-3 # absolute tolerance for fulfillment of stress equilibrium @@ -39,30 +39,30 @@ grid: itmax: 250 # Maximum iteration number itmin: 2 # Minimum iteration number fftw_timelimit: -1.0 # timelimit of plan creation for FFTW, see manual on www.fftw.org, Default -1.0: disable timelimit - fftw_plan_mode: FFTW_PATIENT # reads the planing-rigor flag, see manual on www.fftw.org, Default FFTW_PATIENT: use patient planner flag - maxCutBack: 3 # maximum cut back level (0: 1, 1: 0.5, 2: 0.25, etc) - maxStaggeredIter: 10 # max number of field level staggered iterations + fftw_plan_mode: FFTW_PATIENT # reads the planing-rigor flag, see manual on www.fftw.org, Default FFTW_PATIENT: use patient planner flag + maxCutBack: 3 # maximum cut back level (0: 1, 1: 0.5, 2: 0.25, etc) + maxStaggeredIter: 10 # max number of field level staggered iterations memory_efficient: 1 # Precalculate Gamma-operator (81 double per point) update_gamma: false # Update Gamma-operator with current dPdF (not possible if memory_efficient=1) - divergence_correction: 2 # Use size-independent divergence criterion + divergence_correction: 2 # Use size-independent divergence criterion derivative: continuous # Approximation used for derivatives in Fourier space solver: Basic # Type of spectral solver (BasicPETSc/Polarisation/FEM) petsc_options: -snes_type ngmres -snes_ngmres_anderson # PetSc solver options - alpha: 1.0 # polarization scheme parameter 0.0 < alpha < 2.0. alpha = 1.0 ==> AL scheme, alpha = 2.0 ==> accelerated scheme - beta: 1.0 # polarization scheme parameter 0.0 < beta < 2.0. beta = 1.0 ==> AL scheme, beta = 2.0 ==> accelerated scheme + alpha: 1.0 # polarization scheme parameter 0.0 < alpha < 2.0. alpha = 1.0 ==> AL scheme, alpha = 2.0 ==> accelerated scheme + beta: 1.0 # polarization scheme parameter 0.0 < beta < 2.0. beta = 1.0 ==> AL scheme, beta = 2.0 ==> accelerated scheme mesh: - maxCutBack: 3 # maximum cut back level (0: 1, 1: 0.5, 2: 0.25, etc) - maxStaggeredIter: 10 # max number of field level staggered iterations + maxCutBack: 3 # maximum cut back level (0: 1, 1: 0.5, 2: 0.25, etc) + maxStaggeredIter: 10 # max number of field level staggered iterations structorder: 2 # order of displacement shape functions (when mesh is defined) - bbarstabilisation: false + bbarstabilisation: false integrationorder: 2 # order of quadrature rule required (when mesh is defined) itmax: 250 # Maximum iteration number itmin: 2 # Minimum iteration number eps_struct_atol: 1.0e-10 # absolute tolerance for mechanical equilibrium eps_struct_rtol: 1.0e-4 # relative tolerance for mechanical equilibrium - + crystallite: subStepMin: 1.0e-3 # minimum (relative) size of sub-step allowed during cutback in crystallite subStepSize: 0.25 # size of substep when cutback introduced in crystallite (value between 0 and 1) @@ -84,5 +84,3 @@ generic: charLength: 1.0 # characteristic length scale for gradient problems. random_seed: 0 # fixed seeding for pseudo-random number generator, Default 0: use random seed. residualStiffness: 1.0e-6 # non-zero residual damage. - - diff --git a/src/crystallite.f90 b/src/crystallite.f90 index ad1c2d4a7..0b19afac1 100644 --- a/src/crystallite.f90 +++ b/src/crystallite.f90 @@ -69,8 +69,6 @@ module crystallite real(pReal), dimension(:,:,:,:,:), allocatable, public :: & crystallite_partionedF !< def grad to be reached at end of homog inc - real(pReal), dimension(:,:,:,:,:,:,:), allocatable, public, protected :: & - crystallite_dPdF !< current individual dPdF per grain (end of converged time step) logical, dimension(:,:,:), allocatable, public :: & crystallite_requested !< used by upper level (homogenization) to request crystallite calculation logical, dimension(:,:,:), allocatable :: & @@ -183,8 +181,6 @@ subroutine crystallite_init crystallite_subFp0,crystallite_subFi0, & source = crystallite_partionedF) - allocate(crystallite_dPdF(3,3,3,3,cMax,iMax,eMax),source=0.0_pReal) - allocate(crystallite_dt(cMax,iMax,eMax),source=0.0_pReal) allocate(crystallite_subdt,crystallite_subFrac,crystallite_subStep, & source = crystallite_dt) @@ -293,7 +289,6 @@ subroutine crystallite_init !$OMP END PARALLEL DO devNull = crystallite_stress() - call crystallite_stressTangent #ifdef DEBUG if (debugCrystallite%basic) then @@ -566,12 +561,14 @@ end subroutine crystallite_restore !-------------------------------------------------------------------------------------------------- !> @brief Calculate tangent (dPdF). !-------------------------------------------------------------------------------------------------- -subroutine crystallite_stressTangent +function crystallite_stressTangent(c,i,e) result(dPdF) - integer :: & + real(pReal), dimension(3,3,3,3) :: dPdF + integer, intent(in) :: & c, & !< counter in constituent loop i, & !< counter in integration point loop - e, & !< counter in element loop + e !< counter in element loop + integer :: & o, & p @@ -593,12 +590,6 @@ subroutine crystallite_stressTangent real(pReal), dimension(9,9):: temp_99 logical :: error - !$OMP PARALLEL DO PRIVATE(dSdF,dSdFe,dSdFi,dLpdS,dLpdFi,dFpinvdF,dLidS,dLidFi,dFidS,o,p, & - !$OMP invSubFp0,invSubFi0,invFp,invFi, & - !$OMP rhs_3333,lhs_3333,temp_99,temp_33_1,temp_33_2,temp_33_3,temp_33_4,temp_3333,error) - elementLooping: do e = FEsolving_execElem(1),FEsolving_execElem(2) - do i = FEsolving_execIP(1),FEsolving_execIP(2) - do c = 1,homogenization_Ngrains(material_homogenizationAt(e)) call constitutive_SandItsTangents(devNull,dSdFe,dSdFi, & crystallite_Fe(1:3,1:3,c,i,e), & @@ -679,24 +670,20 @@ subroutine crystallite_stressTangent temp_33_3 = matmul(crystallite_subF(1:3,1:3,c,i,e),invFp) temp_33_4 = matmul(temp_33_3,crystallite_S(1:3,1:3,c,i,e)) - crystallite_dPdF(1:3,1:3,1:3,1:3,c,i,e) = 0.0_pReal + dPdF = 0.0_pReal do p=1,3 - crystallite_dPdF(p,1:3,p,1:3,c,i,e) = transpose(temp_33_2) + dPdF(p,1:3,p,1:3) = transpose(temp_33_2) enddo do o=1,3; do p=1,3 - crystallite_dPdF(1:3,1:3,p,o,c,i,e) = crystallite_dPdF(1:3,1:3,p,o,c,i,e) & - + matmul(matmul(crystallite_subF(1:3,1:3,c,i,e), & - dFpinvdF(1:3,1:3,p,o)),temp_33_1) & - + matmul(matmul(temp_33_3,dSdF(1:3,1:3,p,o)), & - transpose(invFp)) & - + matmul(temp_33_4,transpose(dFpinvdF(1:3,1:3,p,o))) + dPdF(1:3,1:3,p,o) = dPdF(1:3,1:3,p,o) & + + matmul(matmul(crystallite_subF(1:3,1:3,c,i,e), & + dFpinvdF(1:3,1:3,p,o)),temp_33_1) & + + matmul(matmul(temp_33_3,dSdF(1:3,1:3,p,o)), & + transpose(invFp)) & + + matmul(temp_33_4,transpose(dFpinvdF(1:3,1:3,p,o))) enddo; enddo - enddo; enddo - enddo elementLooping - !$OMP END PARALLEL DO - -end subroutine crystallite_stressTangent +end function crystallite_stressTangent !-------------------------------------------------------------------------------------------------- diff --git a/src/homogenization.f90 b/src/homogenization.f90 index 9ba5ae6de..de003fbc3 100644 --- a/src/homogenization.f90 +++ b/src/homogenization.f90 @@ -374,8 +374,6 @@ subroutine materialpoint_stressAndItsTangent(dt) enddo cutBackLooping - call crystallite_stressTangent - if (.not. terminallyIll ) then call crystallite_orientations() ! calculate crystal orientations !$OMP PARALLEL DO @@ -437,11 +435,16 @@ function updateState(subdt,subF,ip,el) integer, intent(in) :: & ip, & !< integration point el !< element number + integer :: c logical, dimension(2) :: updateState + real(pReal) :: dPdFs(3,3,3,3,homogenization_Ngrains(material_homogenizationAt(el))) updateState = .true. chosenHomogenization: select case(homogenization_type(material_homogenizationAt(el))) case (HOMOGENIZATION_RGC_ID) chosenHomogenization + do c=1,homogenization_Ngrains(material_homogenizationAt(el)) + dPdFs(:,:,:,:,c) = crystallite_stressTangent(c,ip,el) + enddo updateState = & updateState .and. & mech_RGC_updateState(crystallite_P(1:3,1:3,1:homogenization_Ngrains(material_homogenizationAt(el)),ip,el), & @@ -449,7 +452,7 @@ function updateState(subdt,subF,ip,el) crystallite_partionedF0(1:3,1:3,1:homogenization_Ngrains(material_homogenizationAt(el)),ip,el),& subF,& subdt, & - crystallite_dPdF(1:3,1:3,1:3,1:3,1:homogenization_Ngrains(material_homogenizationAt(el)),ip,el), & + dPdFs, & ip, & el) end select chosenHomogenization @@ -483,26 +486,35 @@ subroutine averageStressAndItsTangent(ip,el) integer, intent(in) :: & ip, & !< integration point el !< element number - + integer :: c + real(pReal) :: dPdFs(3,3,3,3,homogenization_Ngrains(material_homogenizationAt(el))) + + chosenHomogenization: select case(homogenization_type(material_homogenizationAt(el))) case (HOMOGENIZATION_NONE_ID) chosenHomogenization materialpoint_P(1:3,1:3,ip,el) = crystallite_P(1:3,1:3,1,ip,el) - materialpoint_dPdF(1:3,1:3,1:3,1:3,ip,el) = crystallite_dPdF(1:3,1:3,1:3,1:3,1,ip,el) + materialpoint_dPdF(1:3,1:3,1:3,1:3,ip,el) = crystallite_stressTangent(1,ip,el) case (HOMOGENIZATION_ISOSTRAIN_ID) chosenHomogenization + do c = 1, homogenization_Ngrains(material_homogenizationAt(el)) + dPdFs(:,:,:,:,c) = crystallite_stressTangent(c,ip,el) + enddo call mech_isostrain_averageStressAndItsTangent(& materialpoint_P(1:3,1:3,ip,el), & materialpoint_dPdF(1:3,1:3,1:3,1:3,ip,el),& crystallite_P(1:3,1:3,1:homogenization_Ngrains(material_homogenizationAt(el)),ip,el), & - crystallite_dPdF(1:3,1:3,1:3,1:3,1:homogenization_Ngrains(material_homogenizationAt(el)),ip,el), & + dPdFs, & homogenization_typeInstance(material_homogenizationAt(el))) case (HOMOGENIZATION_RGC_ID) chosenHomogenization + do c = 1, homogenization_Ngrains(material_homogenizationAt(el)) + dPdFs(:,:,:,:,c) = crystallite_stressTangent(c,ip,el) + enddo call mech_RGC_averageStressAndItsTangent(& materialpoint_P(1:3,1:3,ip,el), & materialpoint_dPdF(1:3,1:3,1:3,1:3,ip,el),& crystallite_P(1:3,1:3,1:homogenization_Ngrains(material_homogenizationAt(el)),ip,el), & - crystallite_dPdF(1:3,1:3,1:3,1:3,1:homogenization_Ngrains(material_homogenizationAt(el)),ip,el), & + dPdFs, & homogenization_typeInstance(material_homogenizationAt(el))) end select chosenHomogenization From a59e64a8e459b779a439edb0fc4022084d1de1d5 Mon Sep 17 00:00:00 2001 From: Philip Eisenlohr Date: Wed, 30 Sep 2020 17:27:49 -0400 Subject: [PATCH 091/103] renamed TPMS and added more from additional references --- python/damask/_geom.py | 154 +++++++++++++++++++++++++------------- python/tests/test_Geom.py | 36 +++++++-- 2 files changed, 134 insertions(+), 56 deletions(-) diff --git a/python/damask/_geom.py b/python/damask/_geom.py index aaa534df0..e760e40c3 100644 --- a/python/damask/_geom.py +++ b/python/damask/_geom.py @@ -120,6 +120,29 @@ class Geom: return np.unique(self.material).size + @staticmethod + def load(fname): + """ + Read a VTK rectilinear grid. + + Parameters + ---------- + fname : str or or pathlib.Path + Geometry file to read. + Valid extension is .vtr, it will be appended if not given. + + """ + v = VTK.load(fname if str(fname).endswith('.vtr') else str(fname)+'.vtr') + comments = v.get_comments() + grid = np.array(v.vtk_data.GetDimensions())-1 + bbox = np.array(v.vtk_data.GetBounds()).reshape(3,2).T + + return Geom(material = v.get('material').reshape(grid,order='F'), + size = bbox[1] - bbox[0], + origin = bbox[0], + comments=comments) + + @staticmethod def load_ASCII(fname): """ @@ -184,29 +207,6 @@ class Geom: return Geom(material.reshape(grid,order='F'),size,origin,comments) - @staticmethod - def load(fname): - """ - Read a VTK rectilinear grid. - - Parameters - ---------- - fname : str or or pathlib.Path - Geometry file to read. - Valid extension is .vtr, it will be appended if not given. - - """ - v = VTK.load(fname if str(fname).endswith('.vtr') else str(fname)+'.vtr') - comments = v.get_comments() - grid = np.array(v.vtk_data.GetDimensions())-1 - bbox = np.array(v.vtk_data.GetBounds()).reshape(3,2).T - - return Geom(material = v.get('material').reshape(grid,order='F'), - size = bbox[1] - bbox[0], - origin = bbox[0], - comments=comments) - - @staticmethod def _find_closest_seed(seeds, weights, point): return np.argmin(np.sum((np.broadcast_to(point,(len(seeds),3))-seeds)**2,axis=1) - weights) @@ -292,10 +292,52 @@ class Geom: ) + _minimal_surface = \ + {'Schwarz P': lambda x,y,z: np.cos(x) + np.cos(y) + np.cos(z), + 'Double Primitive': lambda x,y,z: ( 0.5 * (np.cos(x)*np.cos(y) + np.cos(y)*np.cos(z) + np.cos(z)*np.cos(x)) + + 0.2 * (np.cos(2*x) + np.cos(2*y) + np.cos(2*z)) ), + 'Schwarz D': lambda x,y,z: ( np.sin(x)*np.sin(y)*np.sin(z) + + np.sin(x)*np.cos(y)*np.cos(z) + + np.cos(x)*np.cos(y)*np.sin(z) + + np.cos(x)*np.sin(y)*np.cos(z) ), + 'Complementary D': lambda x,y,z: ( np.cos(3*x+y)*np.cos(z) - np.sin(3*x-y)*np.sin(z) + np.cos(x+3*y)*np.cos(z) + + np.sin(x-3*y)*np.sin(z) + np.cos(x-y)*np.cos(3*z) - np.sin(x+y)*np.sin(3*z) ), + 'Double Diamond': lambda x,y,z: 0.5 * (np.sin(x)*np.sin(y) + + np.sin(y)*np.sin(z) + + np.sin(z)*np.sin(x) + + np.cos(x) * np.cos(y) * np.cos(z) ), + 'Dprime': lambda x,y,z: 0.5 * ( np.cos(x)*np.cos(y)*np.cos(z) + + np.cos(x)*np.sin(y)*np.sin(z) + + np.sin(x)*np.cos(y)*np.sin(z) + + np.sin(x)*np.sin(y)*np.cos(z) + - np.sin(2*x)*np.sin(2*y) + - np.sin(2*y)*np.sin(2*z) + - np.sin(2*z)*np.sin(2*x) ) - 0.2, + 'Gyroid': lambda x,y,z: np.cos(x)*np.sin(y) + np.cos(y)*np.sin(z) + np.cos(z)*np.sin(x), + 'Gprime': lambda x,y,z : ( np.sin(2*x)*np.cos(y)*np.sin(z) + + np.sin(2*y)*np.cos(z)*np.sin(x) + + np.sin(2*z)*np.cos(x)*np.sin(y) ) + 0.32, + 'Karcher K': lambda x,y,z: ( 0.3 * ( np.cos(x) + np.cos(y) + np.cos(z) + + np.cos(x)*np.cos(y) + np.cos(y)*np.cos(z) + np.cos(z)*np.cos(x) ) + - 0.4 * ( np.cos(2*x) + np.cos(2*y) + np.cos(2*z) ) ) + 0.2, + 'Lidinoid': lambda x,y,z: 0.5 * ( np.sin(2*x)*np.cos(y)*np.sin(z) + + np.sin(2*y)*np.cos(z)*np.sin(x) + + np.sin(2*z)*np.cos(x)*np.sin(y) + - np.cos(2*x)*np.cos(2*y) + - np.cos(2*y)*np.cos(2*z) + - np.cos(2*z)*np.cos(2*x) ) + 0.15, + 'Neovius': lambda x,y,z: ( 3 * (np.cos(x)+np.cos(y)+np.cos(z)) + + 4 * np.cos(x)*np.cos(y)*np.cos(z) ), + 'Fisher-Koch S': lambda x,y,z: ( np.cos(2*x)*np.sin( y)*np.cos( z) + + np.cos( x)*np.cos(2*y)*np.sin( z) + + np.sin( x)*np.cos( y)*np.cos(2*z) ), + } + + @staticmethod def from_minimal_surface(grid,size,surface,threshold=0.0,periods=1,materials=(1,2)): """ - Generate geometry from definition of minimal surface. + Generate geometry from definition of triply periodic minimal surface. Parameters ---------- @@ -303,7 +345,7 @@ class Geom: Number of grid points in x,y,z direction. size : list or numpy.ndarray of shape (3) Physical size of the geometry in meter. - surface : {'primitive', 'gyroid', 'diamond'} + surface : {'primitive', 'gyroid', 'lidinoid', 'neovius', 'diamond', 'doublediamond'} Type of the minimal surface. threshold : float, optional. Threshold of the minimal surface. Defaults to 0.0. @@ -312,21 +354,53 @@ class Geom: materials : (int, int), optional Material IDs. Defaults to (1,2). + References + ---------- + Surface curvature in triply-periodic minimal surface architectures as + a distinct design parameter in preparing advanced tissue engineering scaffolds + Sébastien B G Blanquer, Maike Werner, Markus Hannula, Shahriar Sharifi, + Guillaume P R Lajoinie, David Eglin, Jari Hyttinen, André A Poot, and Dirk W Grijpma + 10.1088/1758-5090/aa6553 + + Triply Periodic Bicontinuous Cubic Microdomain Morphologies by Symmetries + Meinhard Wohlgemuth, Nataliya Yufa, James Hoffman, and Edwin L. Thomas + 10.1021/ma0019499 + + Minisurf – A minimal surface generator for finite element modeling and additive manufacturing + Meng-Ting Hsieh, Lorenzo Valdevit + 10.1016/j.simpa.2020.100026 + """ - s = {'primitive': lambda x,y,z: np.cos(x)+np.cos(y)+np.cos(z), - 'gyroid': lambda x,y,z: np.sin(x)*np.cos(y)+np.sin(y)*np.cos(z)+np.cos(x)*np.sin(z), - 'diamond': lambda x,y,z: np.cos(x-y)*np.cos(z)+np.sin(x+y)*np.sin(z), - } x,y,z = np.meshgrid(periods*2.0*np.pi*(np.arange(grid[0])+0.5)/grid[0], periods*2.0*np.pi*(np.arange(grid[1])+0.5)/grid[1], periods*2.0*np.pi*(np.arange(grid[2])+0.5)/grid[2], indexing='ij',sparse=True) - return Geom(material = np.where(threshold < s[surface](x,y,z),materials[1],materials[0]), + return Geom(material = np.where(threshold < Geom._minimal_surface[surface](x,y,z),materials[1],materials[0]), size = size, comments = util.execution_stamp('Geom','from_minimal_surface'), ) + def save(self,fname,compress=True): + """ + Generates vtk rectilinear grid. + + Parameters + ---------- + fname : str, optional + Filename to write. If no file is given, a string is returned. + Valid extension is .vtr, it will be appended if not given. + compress : bool, optional + Compress with zlib algorithm. Defaults to True. + + """ + v = VTK.from_rectilinearGrid(self.grid,self.size,self.origin) + v.add(self.material.flatten(order='F'),'material') + v.add_comments(self.comments) + + v.save(fname if str(fname).endswith('.vtr') else str(fname)+'.vtr',parallel=False,compress=compress) + + def save_ASCII(self,fname,compress=None): """ Writes a geom file. @@ -399,26 +473,6 @@ class Geom: f.write(f'{reps} of {former}\n') - def save(self,fname,compress=True): - """ - Generates vtk rectilinear grid. - - Parameters - ---------- - fname : str, optional - Filename to write. If no file is given, a string is returned. - Valid extension is .vtr, it will be appended if not given. - compress : bool, optional - Compress with zlib algorithm. Defaults to True. - - """ - v = VTK.from_rectilinearGrid(self.grid,self.size,self.origin) - v.add(self.material.flatten(order='F'),'material') - v.add_comments(self.comments) - - v.save(fname if str(fname).endswith('.vtr') else str(fname)+'.vtr',parallel=False,compress=compress) - - def show(self): """Show on screen.""" v = VTK.from_rectilinearGrid(self.grid,self.size,self.origin) diff --git a/python/tests/test_Geom.py b/python/tests/test_Geom.py index 27829ac34..884ae72e7 100644 --- a/python/tests/test_Geom.py +++ b/python/tests/test_Geom.py @@ -362,7 +362,19 @@ class TestGeom: assert np.all(geom.material == material) - @pytest.mark.parametrize('surface',['primitive','gyroid','diamond']) + @pytest.mark.parametrize('surface',['Schwarz P', + 'Double Primitive', + 'Schwarz D', + 'Complementary D', + 'Double Diamond', + 'Dprime', + 'Gyroid', + 'Gprime', + 'Karcher K', + 'Lidinoid', + 'Neovius', + 'Fisher-Koch S', + ]) def test_minimal_surface_basic_properties(self,surface): grid = np.random.randint(60,100,3) size = np.ones(3)+np.random.rand(3) @@ -373,8 +385,20 @@ class TestGeom: assert geom.material.max() == materials.max() and geom.material.min() == materials.min() \ and (geom.size == size).all() and (geom.grid == grid).all() - @pytest.mark.parametrize('surface',['primitive','gyroid','diamond']) - def test_minimal_surface_volume(self,surface): - grid = np.ones(3,dtype='i')*64 - geom = Geom.from_minimal_surface(grid,np.ones(3),surface) - assert np.isclose(np.count_nonzero(geom.material==1)/np.prod(geom.grid),.5) + @pytest.mark.parametrize('surface,threshold',[('Schwarz P',0), + ('Double Primitive',-1./6.), + ('Schwarz D',0), + ('Complementary D',0), + ('Double Diamond',-0.133), + ('Dprime',-0.0395), + ('Gyroid',0), + ('Gprime',0.22913), + ('Karcher K',0.17045), + ('Lidinoid',0.14455), + ('Neovius',0), + ('Fisher-Koch S',0), + ]) + def test_minimal_surface_volume(self,surface,threshold): + grid = np.ones(3,dtype=int)*64 + geom = Geom.from_minimal_surface(grid,np.ones(3),surface,threshold) + assert np.isclose(np.count_nonzero(geom.material==1)/np.prod(geom.grid),.5,rtol=1e-3) From f2048087954aaaf33f15f946e67653342e7d4c0d Mon Sep 17 00:00:00 2001 From: Philip Eisenlohr Date: Wed, 30 Sep 2020 17:45:02 -0400 Subject: [PATCH 092/103] adapted geom_fromMinimalSurface.py to new TPMS names --- processing/pre/geom_fromMinimalSurface.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/processing/pre/geom_fromMinimalSurface.py b/processing/pre/geom_fromMinimalSurface.py index bf0e2b754..2b40940b7 100755 --- a/processing/pre/geom_fromMinimalSurface.py +++ b/processing/pre/geom_fromMinimalSurface.py @@ -11,7 +11,7 @@ scriptName = os.path.splitext(os.path.basename(__file__))[0] scriptID = ' '.join([scriptName,damask.version]) -minimal_surfaces = ['primitive','gyroid','diamond'] +minimal_surfaces = list(damask.Geom._minimal_surface.keys()) # -------------------------------------------------------------------- # MAIN From 65fe3f821ac1f02266009d6579c929617dd6d7fa Mon Sep 17 00:00:00 2001 From: Test User Date: Thu, 1 Oct 2020 01:42:33 +0200 Subject: [PATCH 093/103] [skip ci] updated version information after successful test of v3.0.0-alpha-400-ga3674d931 --- VERSION | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/VERSION b/VERSION index 5e3f5a21a..9d7d6ae9a 100644 --- a/VERSION +++ b/VERSION @@ -1 +1 @@ -v3.0.0-alpha-389-ge1d459aab +v3.0.0-alpha-400-ga3674d931 From b29f22f51398b7c36608ab5b693239e00c19cb41 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Thu, 1 Oct 2020 09:25:32 +0200 Subject: [PATCH 094/103] documenting the actually available TMPS --- python/damask/_geom.py | 20 ++++++++++++++++++-- 1 file changed, 18 insertions(+), 2 deletions(-) diff --git a/python/damask/_geom.py b/python/damask/_geom.py index e760e40c3..2ccbb1988 100644 --- a/python/damask/_geom.py +++ b/python/damask/_geom.py @@ -345,14 +345,30 @@ class Geom: Number of grid points in x,y,z direction. size : list or numpy.ndarray of shape (3) Physical size of the geometry in meter. - surface : {'primitive', 'gyroid', 'lidinoid', 'neovius', 'diamond', 'doublediamond'} - Type of the minimal surface. + surface : str + Type of the minimal surface. See notes for details. threshold : float, optional. Threshold of the minimal surface. Defaults to 0.0. periods : integer, optional. Number of periods per unit cell. Defaults to 1. materials : (int, int), optional Material IDs. Defaults to (1,2). + + Notes + ----- + The following triply-periodic minimal surfaces are implemented: + - Schwarz P + - Double Primitive + - Schwarz D + - Complementary D + - Double Diamond + - Dprime + - Gyroid + - Gprime + - Karcher K + - Lidinoid + - Neovius + - Fisher-Koch S References ---------- From 776901cb81f569b801f702f1abaf5d24d92e37fc Mon Sep 17 00:00:00 2001 From: Sharan Roongta Date: Thu, 1 Oct 2020 12:43:05 +0200 Subject: [PATCH 095/103] microstructure --> material --- PRIVATE | 2 +- .../SpectralMethod/Polycrystal/material.yaml | 207 +++++++++--------- src/IO.f90 | 10 +- src/discretization.f90 | 10 +- src/material.f90 | 32 +-- src/mesh/discretization_mesh.f90 | 8 +- 6 files changed, 135 insertions(+), 134 deletions(-) diff --git a/PRIVATE b/PRIVATE index 25ce39dd0..8f27fc91c 160000 --- a/PRIVATE +++ b/PRIVATE @@ -1 +1 @@ -Subproject commit 25ce39dd0f5bf49dc5c2bec20767d93d2b76d353 +Subproject commit 8f27fc91ca757a1dfdfd04892708af7e94941ef9 diff --git a/examples/SpectralMethod/Polycrystal/material.yaml b/examples/SpectralMethod/Polycrystal/material.yaml index 16c6042a6..99ff0440c 100644 --- a/examples/SpectralMethod/Polycrystal/material.yaml +++ b/examples/SpectralMethod/Polycrystal/material.yaml @@ -1,107 +1,109 @@ homogenization: SX: mech: {type: none} -microstructure: -- constituents: - - fraction: 1.0 - orientation: [1.0, 0.0, 0.0, 0.0] - phase: Aluminum - homogenization: SX -- constituents: - - fraction: 1.0 - orientation: [0.7936696712125002, -0.28765777461664166, -0.3436487135089419, 0.4113964260949434] - phase: Aluminum - homogenization: SX -- constituents: - - fraction: 1.0 - orientation: [0.3986143167493579, -0.7014883552495493, 0.2154871765709027, 0.5500781677772945] - phase: Aluminum - homogenization: SX -- constituents: - - fraction: 1.0 - orientation: [0.28645844315788244, -0.022571491243423537, -0.467933059311115, -0.8357456192708106] - phase: Aluminum - homogenization: SX -- constituents: - - fraction: 1.0 - orientation: [0.33012772942625784, -0.6781865350268957, 0.6494525351030648, 0.09638521992649676] - phase: Aluminum - homogenization: SX -- constituents: - - fraction: 1.0 - orientation: [0.43596817439583935, -0.5982537129781701, 0.046599032277502436, 0.6707106499919265] - phase: Aluminum - homogenization: SX -- constituents: - - fraction: 1.0 - orientation: [0.169734823419553, -0.699615227367322, -0.6059581215838098, -0.33844257746495854] - phase: Aluminum - homogenization: SX -- constituents: - - fraction: 1.0 - orientation: [0.9698864809294915, 0.1729052643205874, -0.15948307917616958, 0.06315956884687175] - phase: Aluminum - homogenization: SX -- constituents: - - fraction: 1.0 - orientation: [0.46205660912967883, 0.3105054068891252, -0.617849551030653, 0.555294529545738] - phase: Aluminum - homogenization: SX -- constituents: - - fraction: 1.0 - orientation: [0.4512443497461787, -0.7636045534540555, -0.04739348426715133, -0.45939142396805815] - phase: Aluminum - homogenization: SX -- constituents: - - fraction: 1.0 - orientation: [0.2161856212656443, -0.6581450184826598, -0.5498086209601588, 0.4667112513346289] - phase: Aluminum - homogenization: SX -- constituents: - - fraction: 1.0 - orientation: [0.8753220715350803, -0.4561599367657419, -0.13298279533852678, -0.08969369719975541] - phase: Aluminum - homogenization: SX -- constituents: - - fraction: 1.0 - orientation: [0.11908260752431069, 0.18266024809834172, -0.7144822594012615, -0.664807992845101] - phase: Aluminum - homogenization: SX -- constituents: - - fraction: 1.0 - orientation: [0.751104669484278, 0.5585633382623958, -0.34579336397009175, 0.06538900566860861] - phase: Aluminum - homogenization: SX -- constituents: - - fraction: 1.0 - orientation: [0.08740438971703973, 0.8991264096610437, -0.4156704205935976, 0.10559485570696363] - phase: Aluminum - homogenization: SX -- constituents: - - fraction: 1.0 - orientation: [0.5584325870096193, 0.6016408353068798, -0.14280340445801173, 0.5529814994483859] - phase: Aluminum - homogenization: SX -- constituents: - - fraction: 1.0 - orientation: [0.4052725440888093, 0.25253073423599154, 0.5693263597910454, -0.669215876471182] - phase: Aluminum - homogenization: SX -- constituents: - - fraction: 1.0 - orientation: [0.7570164606888676, 0.15265448024694664, -0.5998021466848317, 0.20942796551297105] - phase: Aluminum - homogenization: SX -- constituents: - - fraction: 1.0 - orientation: [0.6987659297138081, -0.132172211261028, -0.19693254724422338, 0.6748883269678543] - phase: Aluminum - homogenization: SX -- constituents: - - fraction: 1.0 - orientation: [0.7729330445886478, 0.21682179052722322, -0.5207379472917645, 0.2905078484066341] - phase: Aluminum - homogenization: SX + +material: + - constituents: + - fraction: 1.0 + orientation: [1.0, 0.0, 0.0, 0.0] + phase: Aluminum + homogenization: SX + - constituents: + - fraction: 1.0 + orientation: [0.7936696712125002, -0.28765777461664166, -0.3436487135089419, 0.4113964260949434] + phase: Aluminum + homogenization: SX + - constituents: + - fraction: 1.0 + orientation: [0.3986143167493579, -0.7014883552495493, 0.2154871765709027, 0.5500781677772945] + phase: Aluminum + homogenization: SX + - constituents: + - fraction: 1.0 + orientation: [0.28645844315788244, -0.022571491243423537, -0.467933059311115, -0.8357456192708106] + phase: Aluminum + homogenization: SX + - constituents: + - fraction: 1.0 + orientation: [0.33012772942625784, -0.6781865350268957, 0.6494525351030648, 0.09638521992649676] + phase: Aluminum + homogenization: SX + - constituents: + - fraction: 1.0 + orientation: [0.43596817439583935, -0.5982537129781701, 0.046599032277502436, 0.6707106499919265] + phase: Aluminum + homogenization: SX + - constituents: + - fraction: 1.0 + orientation: [0.169734823419553, -0.699615227367322, -0.6059581215838098, -0.33844257746495854] + phase: Aluminum + homogenization: SX + - constituents: + - fraction: 1.0 + orientation: [0.9698864809294915, 0.1729052643205874, -0.15948307917616958, 0.06315956884687175] + phase: Aluminum + homogenization: SX + - constituents: + - fraction: 1.0 + orientation: [0.46205660912967883, 0.3105054068891252, -0.617849551030653, 0.555294529545738] + phase: Aluminum + homogenization: SX + - constituents: + - fraction: 1.0 + orientation: [0.4512443497461787, -0.7636045534540555, -0.04739348426715133, -0.45939142396805815] + phase: Aluminum + homogenization: SX + - constituents: + - fraction: 1.0 + orientation: [0.2161856212656443, -0.6581450184826598, -0.5498086209601588, 0.4667112513346289] + phase: Aluminum + homogenization: SX + - constituents: + - fraction: 1.0 + orientation: [0.8753220715350803, -0.4561599367657419, -0.13298279533852678, -0.08969369719975541] + phase: Aluminum + homogenization: SX + - constituents: + - fraction: 1.0 + orientation: [0.11908260752431069, 0.18266024809834172, -0.7144822594012615, -0.664807992845101] + phase: Aluminum + homogenization: SX + - constituents: + - fraction: 1.0 + orientation: [0.751104669484278, 0.5585633382623958, -0.34579336397009175, 0.06538900566860861] + phase: Aluminum + homogenization: SX + - constituents: + - fraction: 1.0 + orientation: [0.08740438971703973, 0.8991264096610437, -0.4156704205935976, 0.10559485570696363] + phase: Aluminum + homogenization: SX + - constituents: + - fraction: 1.0 + orientation: [0.5584325870096193, 0.6016408353068798, -0.14280340445801173, 0.5529814994483859] + phase: Aluminum + homogenization: SX + - constituents: + - fraction: 1.0 + orientation: [0.4052725440888093, 0.25253073423599154, 0.5693263597910454, -0.669215876471182] + phase: Aluminum + homogenization: SX + - constituents: + - fraction: 1.0 + orientation: [0.7570164606888676, 0.15265448024694664, -0.5998021466848317, 0.20942796551297105] + phase: Aluminum + homogenization: SX + - constituents: + - fraction: 1.0 + orientation: [0.6987659297138081, -0.132172211261028, -0.19693254724422338, 0.6748883269678543] + phase: Aluminum + homogenization: SX + - constituents: + - fraction: 1.0 + orientation: [0.7729330445886478, 0.21682179052722322, -0.5207379472917645, 0.2905078484066341] + phase: Aluminum + homogenization: SX + phase: Aluminum: elasticity: {C_11: 106.75e9, C_12: 60.41e9, C_44: 28.34e9, type: hooke} @@ -117,7 +119,6 @@ phase: h_sl_sl: [1, 1, 1.4, 1.4, 1.4, 1.4] n_sl: 20 output: [xi_sl] + type: phenopowerlaw xi_0_sl: [31e6] xi_inf_sl: [63e6] - type: phenopowerlaw - diff --git a/src/IO.f90 b/src/IO.f90 index 0542e7a62..4a442cb06 100644 --- a/src/IO.f90 +++ b/src/IO.f90 @@ -427,20 +427,20 @@ subroutine IO_error(error_ID,el,ip,g,instance,ext_msg) case (146) msg = 'number of values does not match' case (148) - msg = 'Nconstituents mismatch between homogenization and microstructure' + msg = 'Nconstituents mismatch between homogenization and material' !-------------------------------------------------------------------------------------------------- ! material error messages and related messages in mesh case (150) msg = 'index out of bounds' case (151) - msg = 'microstructure has no constituents' + msg = 'material has no constituents' case (153) msg = 'sum of phase fractions differs from 1' case (155) - msg = 'microstructure index out of bounds' + msg = 'material index out of bounds' case (180) - msg = 'missing/invalid microstructure definition via State Variable 2' + msg = 'missing/invalid material definition via State Variable 2' case (190) msg = 'unknown element type:' case (191) @@ -526,7 +526,7 @@ subroutine IO_error(error_ID,el,ip,g,instance,ext_msg) case (842) msg = 'incomplete information in grid mesh header' case (843) - msg = 'microstructure count mismatch' + msg = 'material count mismatch' case (844) msg = 'invalid VTR file' case (846) diff --git a/src/discretization.f90 b/src/discretization.f90 index 3bb905cf3..e6e53fcf4 100644 --- a/src/discretization.f90 +++ b/src/discretization.f90 @@ -15,7 +15,7 @@ module discretization discretization_nElem integer, public, protected, dimension(:), allocatable :: & - discretization_microstructureAt + discretization_materialAt real(pReal), public, protected, dimension(:,:), allocatable :: & discretization_IPcoords0, & @@ -37,12 +37,12 @@ contains !-------------------------------------------------------------------------------------------------- !> @brief stores the relevant information in globally accesible variables !-------------------------------------------------------------------------------------------------- -subroutine discretization_init(microstructureAt,& +subroutine discretization_init(materialAt,& IPcoords0,NodeCoords0,& sharedNodesBegin) integer, dimension(:), intent(in) :: & - microstructureAt + materialAt real(pReal), dimension(:,:), intent(in) :: & IPcoords0, & NodeCoords0 @@ -51,10 +51,10 @@ subroutine discretization_init(microstructureAt,& print'(/,a)', ' <<<+- discretization init -+>>>'; flush(6) - discretization_nElem = size(microstructureAt,1) + discretization_nElem = size(materialAt,1) discretization_nIP = size(IPcoords0,2)/discretization_nElem - discretization_microstructureAt = microstructureAt + discretization_materialAt = materialAt discretization_IPcoords0 = IPcoords0 discretization_IPcoords = IPcoords0 diff --git a/src/material.f90 b/src/material.f90 index 6688a0ae5..3a2483246 100644 --- a/src/material.f90 +++ b/src/material.f90 @@ -97,7 +97,7 @@ module material material_orientation0 !< initial orientation of each grain,IP,element integer, dimension(:), allocatable, private :: & - microstructure_Nconstituents !< number of constituents in each microstructure + material_Nconstituents !< number of constituents in each material @@ -317,12 +317,12 @@ end subroutine material_parseHomogenization !-------------------------------------------------------------------------------------------------- -!> @brief parses the microstructure part in the material configuration file +!> @brief parses the material part in the material configuration file !-------------------------------------------------------------------------------------------------- subroutine material_parseMicrostructure - class(tNode), pointer :: microstructures, & !> list of microstructures - microstructure, & !> microstructure definition + class(tNode), pointer :: materials, & !> list of materials + material, & !> material definition constituents, & !> list of constituents constituent, & !> constituent definition phases, & @@ -341,17 +341,17 @@ subroutine material_parseMicrostructure c, & maxNconstituents - microstructures => config_material%get('microstructure') - if(any(discretization_microstructureAt > microstructures%length)) & - call IO_error(155,ext_msg='More microstructures requested than found in material.yaml') + materials => config_material%get('material') + if(any(discretization_materialAt > materials%length)) & + call IO_error(155,ext_msg='More materials requested than found in material.yaml') - allocate(microstructure_Nconstituents(microstructures%length),source=0) - do m = 1, microstructures%length - microstructure => microstructures%get(m) - constituents => microstructure%get('constituents') - microstructure_Nconstituents(m) = constituents%length + allocate(material_Nconstituents(materials%length),source=0) + do m = 1, materials%length + material => materials%get(m) + constituents => material%get('constituents') + material_Nconstituents(m) = constituents%length enddo - maxNconstituents = maxval(microstructure_Nconstituents) + maxNconstituents = maxval(material_Nconstituents) allocate(material_homogenizationAt(discretization_nElem),source=0) allocate(material_homogenizationMemberAt(discretization_nIP,discretization_nElem),source=0) @@ -366,10 +366,10 @@ subroutine material_parseMicrostructure allocate(counterHomogenization(homogenization%length),source=0) do e = 1, discretization_nElem - microstructure => microstructures%get(discretization_microstructureAt(e)) - constituents => microstructure%get('constituents') + material => materials%get(discretization_materialAt(e)) + constituents => material%get('constituents') - material_homogenizationAt(e) = homogenization%getIndex(microstructure%get_asString('homogenization')) + material_homogenizationAt(e) = homogenization%getIndex(material%get_asString('homogenization')) do i = 1, discretization_nIP counterHomogenization(material_homogenizationAt(e)) = counterHomogenization(material_homogenizationAt(e)) + 1 material_homogenizationMemberAt(i,e) = counterHomogenization(material_homogenizationAt(e)) diff --git a/src/mesh/discretization_mesh.f90 b/src/mesh/discretization_mesh.f90 index b57a4b332..bc96951a1 100644 --- a/src/mesh/discretization_mesh.f90 +++ b/src/mesh/discretization_mesh.f90 @@ -78,7 +78,7 @@ subroutine discretization_mesh_init(restart) IS :: faceSetIS PetscErrorCode :: ierr integer, dimension(:), allocatable :: & - microstructureAt + materialAt class(tNode), pointer :: & num_mesh integer :: integrationOrder !< order of quadrature rule required @@ -164,9 +164,9 @@ subroutine discretization_mesh_init(restart) call mesh_FEM_build_ipCoordinates(dimPlex,FEM_quadrature_points(dimPlex,integrationOrder)%p) call mesh_FEM_build_ipVolumes(dimPlex) - allocate(microstructureAt(mesh_NcpElems)) + allocate(materialAt(mesh_NcpElems)) do j = 1, mesh_NcpElems - call DMGetLabelValue(geomMesh,'material',j-1,microstructureAt(j),ierr) + call DMGetLabelValue(geomMesh,'material',j-1,materialAt(j),ierr) CHKERRQ(ierr) end do @@ -178,7 +178,7 @@ subroutine discretization_mesh_init(restart) allocate(mesh_node0(3,mesh_Nnodes),source=0.0_pReal) - call discretization_init(microstructureAt,& + call discretization_init(materialAt,& reshape(mesh_ipCoordinates,[3,mesh_maxNips*mesh_NcpElems]), & mesh_node0) From 33b0181286a5b51b48f026ee6356c7444c02a097 Mon Sep 17 00:00:00 2001 From: Sharan Roongta Date: Thu, 1 Oct 2020 14:01:50 +0200 Subject: [PATCH 096/103] orientation --> O --- PRIVATE | 2 +- .../SpectralMethod/Polycrystal/material.yaml | 40 +++++++++---------- src/material.f90 | 4 +- 3 files changed, 23 insertions(+), 23 deletions(-) diff --git a/PRIVATE b/PRIVATE index 8f27fc91c..28e7fb09f 160000 --- a/PRIVATE +++ b/PRIVATE @@ -1 +1 @@ -Subproject commit 8f27fc91ca757a1dfdfd04892708af7e94941ef9 +Subproject commit 28e7fb09f06ec324841eac1670ebdcbd8aab4ef3 diff --git a/examples/SpectralMethod/Polycrystal/material.yaml b/examples/SpectralMethod/Polycrystal/material.yaml index 99ff0440c..394d16ed8 100644 --- a/examples/SpectralMethod/Polycrystal/material.yaml +++ b/examples/SpectralMethod/Polycrystal/material.yaml @@ -5,102 +5,102 @@ homogenization: material: - constituents: - fraction: 1.0 - orientation: [1.0, 0.0, 0.0, 0.0] + O: [1.0, 0.0, 0.0, 0.0] phase: Aluminum homogenization: SX - constituents: - fraction: 1.0 - orientation: [0.7936696712125002, -0.28765777461664166, -0.3436487135089419, 0.4113964260949434] + O: [0.7936696712125002, -0.28765777461664166, -0.3436487135089419, 0.4113964260949434] phase: Aluminum homogenization: SX - constituents: - fraction: 1.0 - orientation: [0.3986143167493579, -0.7014883552495493, 0.2154871765709027, 0.5500781677772945] + O: [0.3986143167493579, -0.7014883552495493, 0.2154871765709027, 0.5500781677772945] phase: Aluminum homogenization: SX - constituents: - fraction: 1.0 - orientation: [0.28645844315788244, -0.022571491243423537, -0.467933059311115, -0.8357456192708106] + O: [0.28645844315788244, -0.022571491243423537, -0.467933059311115, -0.8357456192708106] phase: Aluminum homogenization: SX - constituents: - fraction: 1.0 - orientation: [0.33012772942625784, -0.6781865350268957, 0.6494525351030648, 0.09638521992649676] + O: [0.33012772942625784, -0.6781865350268957, 0.6494525351030648, 0.09638521992649676] phase: Aluminum homogenization: SX - constituents: - fraction: 1.0 - orientation: [0.43596817439583935, -0.5982537129781701, 0.046599032277502436, 0.6707106499919265] + O: [0.43596817439583935, -0.5982537129781701, 0.046599032277502436, 0.6707106499919265] phase: Aluminum homogenization: SX - constituents: - fraction: 1.0 - orientation: [0.169734823419553, -0.699615227367322, -0.6059581215838098, -0.33844257746495854] + O: [0.169734823419553, -0.699615227367322, -0.6059581215838098, -0.33844257746495854] phase: Aluminum homogenization: SX - constituents: - fraction: 1.0 - orientation: [0.9698864809294915, 0.1729052643205874, -0.15948307917616958, 0.06315956884687175] + O: [0.9698864809294915, 0.1729052643205874, -0.15948307917616958, 0.06315956884687175] phase: Aluminum homogenization: SX - constituents: - fraction: 1.0 - orientation: [0.46205660912967883, 0.3105054068891252, -0.617849551030653, 0.555294529545738] + O: [0.46205660912967883, 0.3105054068891252, -0.617849551030653, 0.555294529545738] phase: Aluminum homogenization: SX - constituents: - fraction: 1.0 - orientation: [0.4512443497461787, -0.7636045534540555, -0.04739348426715133, -0.45939142396805815] + O: [0.4512443497461787, -0.7636045534540555, -0.04739348426715133, -0.45939142396805815] phase: Aluminum homogenization: SX - constituents: - fraction: 1.0 - orientation: [0.2161856212656443, -0.6581450184826598, -0.5498086209601588, 0.4667112513346289] + O: [0.2161856212656443, -0.6581450184826598, -0.5498086209601588, 0.4667112513346289] phase: Aluminum homogenization: SX - constituents: - fraction: 1.0 - orientation: [0.8753220715350803, -0.4561599367657419, -0.13298279533852678, -0.08969369719975541] + O: [0.8753220715350803, -0.4561599367657419, -0.13298279533852678, -0.08969369719975541] phase: Aluminum homogenization: SX - constituents: - fraction: 1.0 - orientation: [0.11908260752431069, 0.18266024809834172, -0.7144822594012615, -0.664807992845101] + O: [0.11908260752431069, 0.18266024809834172, -0.7144822594012615, -0.664807992845101] phase: Aluminum homogenization: SX - constituents: - fraction: 1.0 - orientation: [0.751104669484278, 0.5585633382623958, -0.34579336397009175, 0.06538900566860861] + O: [0.751104669484278, 0.5585633382623958, -0.34579336397009175, 0.06538900566860861] phase: Aluminum homogenization: SX - constituents: - fraction: 1.0 - orientation: [0.08740438971703973, 0.8991264096610437, -0.4156704205935976, 0.10559485570696363] + O: [0.08740438971703973, 0.8991264096610437, -0.4156704205935976, 0.10559485570696363] phase: Aluminum homogenization: SX - constituents: - fraction: 1.0 - orientation: [0.5584325870096193, 0.6016408353068798, -0.14280340445801173, 0.5529814994483859] + O: [0.5584325870096193, 0.6016408353068798, -0.14280340445801173, 0.5529814994483859] phase: Aluminum homogenization: SX - constituents: - fraction: 1.0 - orientation: [0.4052725440888093, 0.25253073423599154, 0.5693263597910454, -0.669215876471182] + O: [0.4052725440888093, 0.25253073423599154, 0.5693263597910454, -0.669215876471182] phase: Aluminum homogenization: SX - constituents: - fraction: 1.0 - orientation: [0.7570164606888676, 0.15265448024694664, -0.5998021466848317, 0.20942796551297105] + O: [0.7570164606888676, 0.15265448024694664, -0.5998021466848317, 0.20942796551297105] phase: Aluminum homogenization: SX - constituents: - fraction: 1.0 - orientation: [0.6987659297138081, -0.132172211261028, -0.19693254724422338, 0.6748883269678543] + O: [0.6987659297138081, -0.132172211261028, -0.19693254724422338, 0.6748883269678543] phase: Aluminum homogenization: SX - constituents: - fraction: 1.0 - orientation: [0.7729330445886478, 0.21682179052722322, -0.5207379472917645, 0.2905078484066341] + O: [0.7729330445886478, 0.21682179052722322, -0.5207379472917645, 0.2905078484066341] phase: Aluminum homogenization: SX diff --git a/src/material.f90 b/src/material.f90 index 3a2483246..eece6626e 100644 --- a/src/material.f90 +++ b/src/material.f90 @@ -97,7 +97,7 @@ module material material_orientation0 !< initial orientation of each grain,IP,element integer, dimension(:), allocatable, private :: & - material_Nconstituents !< number of constituents in each material + material_Nconstituents !< number of constituents in each material @@ -385,7 +385,7 @@ subroutine material_parseMicrostructure counterPhase(material_phaseAt(c,e)) = counterPhase(material_phaseAt(c,e)) + 1 material_phaseMemberAt(c,i,e) = counterPhase(material_phaseAt(c,e)) - call material_orientation0(c,i,e)%fromQuaternion(constituent%get_asFloats('orientation',requiredSize=4)) + call material_orientation0(c,i,e)%fromQuaternion(constituent%get_asFloats('O',requiredSize=4)) enddo enddo From 26acdaf9ecba588316a43b06a703cdfd75bfa7cf Mon Sep 17 00:00:00 2001 From: Sharan Roongta Date: Thu, 1 Oct 2020 16:07:50 +0200 Subject: [PATCH 097/103] missed out --- src/material.f90 | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/src/material.f90 b/src/material.f90 index eece6626e..81f46d64e 100644 --- a/src/material.f90 +++ b/src/material.f90 @@ -180,8 +180,8 @@ subroutine material_init(restart) material_name_homogenization(myHomog) = trim(adjustl(sectionName))//material_homogenization%getKey(myHomog) enddo - call material_parseMicrostructure - print*, 'Microstructure parsed' + call material_parseMaterial + print*, 'Material parsed' call material_parseHomogenization print*, 'Homogenization parsed' @@ -319,7 +319,7 @@ end subroutine material_parseHomogenization !-------------------------------------------------------------------------------------------------- !> @brief parses the material part in the material configuration file !-------------------------------------------------------------------------------------------------- -subroutine material_parseMicrostructure +subroutine material_parseMaterial class(tNode), pointer :: materials, & !> list of materials material, & !> material definition @@ -393,7 +393,7 @@ subroutine material_parseMicrostructure enddo -end subroutine material_parseMicrostructure +end subroutine material_parseMaterial end module material From 4a7701d86a89d630f18e6eecf9a4f8123600852c Mon Sep 17 00:00:00 2001 From: Test User Date: Fri, 2 Oct 2020 03:46:25 +0200 Subject: [PATCH 098/103] [skip ci] updated version information after successful test of v3.0.0-alpha-406-gca6f7f7a3 --- VERSION | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/VERSION b/VERSION index 9d7d6ae9a..8ec654de6 100644 --- a/VERSION +++ b/VERSION @@ -1 +1 @@ -v3.0.0-alpha-400-ga3674d931 +v3.0.0-alpha-406-gca6f7f7a3 From 58229b8851fac4195250e57ce01e06a78f1fe909 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Fri, 2 Oct 2020 13:26:11 +0200 Subject: [PATCH 099/103] relaxed test conditions even threshold between -.5 and +.5 can result in a single material. --- python/tests/test_Geom.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/python/tests/test_Geom.py b/python/tests/test_Geom.py index 884ae72e7..c2e476f8f 100644 --- a/python/tests/test_Geom.py +++ b/python/tests/test_Geom.py @@ -378,11 +378,11 @@ class TestGeom: def test_minimal_surface_basic_properties(self,surface): grid = np.random.randint(60,100,3) size = np.ones(3)+np.random.rand(3) - threshold = np.random.rand()-.5 + threshold = 2*np.random.rand()-1. periods = np.random.randint(2)+1 materials = np.random.randint(0,40,2) geom = Geom.from_minimal_surface(grid,size,surface,threshold,periods,materials) - assert geom.material.max() == materials.max() and geom.material.min() == materials.min() \ + assert set(geom.material.flatten()) | set(materials) == set(materials) \ and (geom.size == size).all() and (geom.grid == grid).all() @pytest.mark.parametrize('surface,threshold',[('Schwarz P',0), From d4615891cea142fab6d60e60adcc1141521cc9e2 Mon Sep 17 00:00:00 2001 From: Test User Date: Fri, 2 Oct 2020 16:01:58 +0200 Subject: [PATCH 100/103] [skip ci] updated version information after successful test of v3.0.0-alpha-433-g58229b885 --- VERSION | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/VERSION b/VERSION index 8ec654de6..56cab3696 100644 --- a/VERSION +++ b/VERSION @@ -1 +1 @@ -v3.0.0-alpha-406-gca6f7f7a3 +v3.0.0-alpha-433-g58229b885 From ea333f8b7129400a0b27c12fc28033c294e3ee74 Mon Sep 17 00:00:00 2001 From: Test User Date: Fri, 2 Oct 2020 18:53:43 +0200 Subject: [PATCH 101/103] [skip ci] updated version information after successful test of v3.0.0-alpha-439-g365cf9a22 --- VERSION | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/VERSION b/VERSION index 8ec654de6..b8a6031af 100644 --- a/VERSION +++ b/VERSION @@ -1 +1 @@ -v3.0.0-alpha-406-gca6f7f7a3 +v3.0.0-alpha-439-g365cf9a22 From 88b92bf3b1aa3efb98b09fd17770eedb31c85f58 Mon Sep 17 00:00:00 2001 From: Martin Diehl Date: Sat, 3 Oct 2020 08:34:10 +0200 Subject: [PATCH 102/103] updated test results changed calling sequence leads to slightly different results --- PRIVATE | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/PRIVATE b/PRIVATE index 3b498f5cb..64e62f805 160000 --- a/PRIVATE +++ b/PRIVATE @@ -1 +1 @@ -Subproject commit 3b498f5cb3c50e669588106de1b4cdc4c03ffff1 +Subproject commit 64e62f805b5ad784e3397ee5f735aaeb3cc134c2 From e5151999e8ee09ad44b00e123a2d1d70a72918a3 Mon Sep 17 00:00:00 2001 From: Test User Date: Mon, 5 Oct 2020 18:09:57 +0200 Subject: [PATCH 103/103] [skip ci] updated version information after successful test of v3.0.0-alpha-449-g37dfd32f5 --- VERSION | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/VERSION b/VERSION index 56cab3696..5fe6785a3 100644 --- a/VERSION +++ b/VERSION @@ -1 +1 @@ -v3.0.0-alpha-433-g58229b885 +v3.0.0-alpha-449-g37dfd32f5