corrected sign definition of <111>{110} slip systems
Breaking change: Sign of shear differs
This commit is contained in:
Philip Eisenlohr
Martin Diehl
parent
0396332b7b
commit
a2b571c1fc
2
PRIVATE
2
PRIVATE
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@ -1 +1 @@
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Subproject commit 9623d3d50e11a086e456b7fddc25fae67266911d
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Subproject commit b13ed2628e2ece45bcf433ce88483759b02c946e
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@ -785,25 +785,25 @@ class Crystal():
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_kinematics: Dict[BravaisLattice, Dict[CrystalKinematics, List[np.ndarray]]] = {
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'cF': {
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'slip': [np.array([
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[+0,+1,-1, +1,+1,+1],
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[-1,+0,+1, +1,+1,+1],
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[+1,-1,+0, +1,+1,+1],
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[+0,-1,-1, -1,-1,+1],
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[+1,+0,+1, -1,-1,+1],
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[-1,+1,+0, -1,-1,+1],
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[+0,-1,+1, +1,-1,-1],
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[-1,+0,-1, +1,-1,-1],
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[+1,+1,+0, +1,-1,-1],
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[+0,+1,+1, -1,+1,-1],
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[+1,+0,-1, -1,+1,-1],
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[-1,-1,+0, -1,+1,-1]]),
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[ 0,+1,-1, +1,+1,+1],
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[-1, 0,+1, +1,+1,+1],
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[+1,-1, 0, +1,+1,+1],
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[ 0,-1,-1, -1,-1,+1],
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[+1, 0,+1, -1,-1,+1],
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[-1,+1, 0, -1,-1,+1],
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[ 0,-1,+1, +1,-1,-1],
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[-1, 0,-1, +1,-1,-1],
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[+1,+1, 0, +1,-1,-1],
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[ 0,+1,+1, -1,+1,-1],
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[+1, 0,-1, -1,+1,-1],
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[-1,-1, 0, -1,+1,-1]]),
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np.array([
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[+1,+1,+0, +1,-1,+0],
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[+1,-1,+0, +1,+1,+0],
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[+1,+0,+1, +1,+0,-1],
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[+1,+0,-1, +1,+0,+1],
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[+0,+1,+1, +0,+1,-1],
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[+0,+1,-1, +0,+1,+1]])],
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[+1,+1, 0, +1,-1, 0],
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[+1,-1, 0, +1,+1, 0],
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[+1, 0,+1, +1, 0,-1],
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[+1, 0,-1, +1, 0,+1],
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[ 0,+1,+1, 0,+1,-1],
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[ 0,+1,-1, 0,+1,+1]])],
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'twin': [np.array([
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[-2, 1, 1, 1, 1, 1],
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[ 1,-2, 1, 1, 1, 1],
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@ -820,18 +820,18 @@ class Crystal():
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},
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'cI': {
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'slip': [np.array([
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[+1,-1,+1, +0,+1,+1],
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[-1,-1,+1, +0,+1,+1],
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[+1,+1,+1, +0,-1,+1],
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[-1,+1,+1, +0,-1,+1],
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[-1,+1,+1, +1,+0,+1],
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[-1,-1,+1, +1,+0,+1],
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[+1,+1,+1, -1,+0,+1],
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[+1,-1,+1, -1,+0,+1],
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[-1,+1,+1, +1,+1,+0],
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[-1,+1,-1, +1,+1,+0],
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[+1,+1,+1, -1,+1,+0],
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[+1,+1,-1, -1,+1,+0]]),
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[+1,-1,+1, 0,+1,+1],
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[-1,-1,+1, 0,-1,-1],
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[+1,+1,+1, 0,+1,-1],
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[-1,+1,+1, 0,-1,+1],
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[-1,+1,+1, -1, 0,-1],
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[-1,-1,+1, +1, 0,+1],
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[+1,+1,+1, -1, 0,+1],
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[+1,-1,+1, +1, 0,-1],
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[-1,+1,+1, +1,+1, 0],
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[+1,-1,+1, -1,-1, 0],
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[+1,+1,+1, +1,-1, 0],
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[-1,-1,+1, -1,+1, 0]]),
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np.array([
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[-1,+1,+1, +2,+1,+1],
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[+1,+1,+1, -2,+1,+1],
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@ -886,33 +886,33 @@ class Crystal():
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},
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'hP': {
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'slip': [np.array([
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[+2,-1,-1,+0, +0,+0,+0,+1],
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[-1,+2,-1,+0, +0,+0,+0,+1],
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[-1,-1,+2,+0, +0,+0,+0,+1]]),
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[+2,-1,-1, 0, 0, 0, 0,+1],
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[-1,+2,-1, 0, 0, 0, 0,+1],
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[-1,-1,+2, 0, 0, 0, 0,+1]]),
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np.array([
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[+2,-1,-1,+0, +0,+1,-1,+0],
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[-1,+2,-1,+0, -1,+0,+1,+0],
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[-1,-1,+2,+0, +1,-1,+0,+0]]),
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[+2,-1,-1, 0, 0,+1,-1, 0],
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[-1,+2,-1, 0, -1, 0,+1, 0],
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[-1,-1,+2, 0, +1,-1, 0, 0]]),
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np.array([
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[-1,+2,-1,+0, +1,+0,-1,+1],
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[-2,+1,+1,+0, +0,+1,-1,+1],
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[-1,-1,+2,+0, -1,+1,+0,+1],
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[+1,-2,+1,+0, -1,+0,+1,+1],
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[+2,-1,-1,+0, +0,-1,+1,+1],
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[+1,+1,-2,+0, +1,-1,+0,+1]]),
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[-1,+2,-1, 0, +1, 0,-1,+1],
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[-2,+1,+1, 0, 0,+1,-1,+1],
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[-1,-1,+2, 0, -1,+1, 0,+1],
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[+1,-2,+1, 0, -1, 0,+1,+1],
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[+2,-1,-1, 0, 0,-1,+1,+1],
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[+1,+1,-2, 0, +1,-1, 0,+1]]),
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np.array([
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[-2,+1,+1,+3, +1,+0,-1,+1],
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[-1,-1,+2,+3, +1,+0,-1,+1],
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[-1,-1,+2,+3, +0,+1,-1,+1],
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[+1,-2,+1,+3, +0,+1,-1,+1],
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[+1,-2,+1,+3, -1,+1,+0,+1],
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[+2,-1,-1,+3, -1,+1,+0,+1],
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[+2,-1,-1,+3, -1,+0,+1,+1],
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[+1,+1,-2,+3, -1,+0,+1,+1],
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[+1,+1,-2,+3, +0,-1,+1,+1],
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[-1,+2,-1,+3, +0,-1,+1,+1],
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[-1,+2,-1,+3, +1,-1,+0,+1],
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[-2,+1,+1,+3, +1,-1,+0,+1]]),
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[-2,+1,+1,+3, +1, 0,-1,+1],
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[-1,-1,+2,+3, +1, 0,-1,+1],
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[-1,-1,+2,+3, 0,+1,-1,+1],
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[+1,-2,+1,+3, 0,+1,-1,+1],
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[+1,-2,+1,+3, -1,+1, 0,+1],
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[+2,-1,-1,+3, -1,+1, 0,+1],
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[+2,-1,-1,+3, -1, 0,+1,+1],
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[+1,+1,-2,+3, -1, 0,+1,+1],
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[+1,+1,-2,+3, 0,-1,+1,+1],
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[-1,+2,-1,+3, 0,-1,+1,+1],
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[-1,+2,-1,+3, +1,-1, 0,+1],
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[-2,+1,+1,+3, +1,-1, 0,+1]]),
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np.array([
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[-1,-1,+2,+3, +1,+1,-2,+2],
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[+1,-2,+1,+3, -1,+2,-1,+2],
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@ -951,61 +951,61 @@ class Crystal():
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},
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'tI': {
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'slip': [np.array([
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[+0,+0,+1, +1,+0,+0],
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[+0,+0,+1, +0,+1,+0]]),
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[ 0, 0,+1, +1, 0, 0],
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[ 0, 0,+1, 0,+1, 0]]),
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np.array([
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[+0,+0,+1, +1,+1,+0],
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[+0,+0,+1, -1,+1,+0]]),
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[ 0, 0,+1, +1,+1, 0],
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[ 0, 0,+1, -1,+1, 0]]),
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np.array([
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[+0,+1,+0, +1,+0,+0],
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[+1,+0,+0, +0,+1,+0]]),
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[ 0,+1, 0, +1, 0, 0],
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[+1, 0, 0, 0,+1, 0]]),
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np.array([
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[+1,-1,+1, +1,+1,+0],
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[+1,-1,-1, +1,+1,+0],
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[-1,-1,-1, -1,+1,+0],
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[-1,-1,+1, -1,+1,+0]]),
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[+1,-1,+1, +1,+1, 0],
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[+1,-1,-1, +1,+1, 0],
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[-1,-1,-1, -1,+1, 0],
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[-1,-1,+1, -1,+1, 0]]),
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np.array([
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[+1,-1,+0, +1,+1,+0],
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[+1,+1,+0, +1,-1,+0]]),
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[+1,-1, 0, +1,+1, 0],
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[+1,+1, 0, +1,-1, 0]]),
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np.array([
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[+0,+1,+1, +1,+0,+0],
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[+0,-1,+1, +1,+0,+0],
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[-1,+0,+1, +0,+1,+0],
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[+1,+0,+1, +0,+1,+0]]),
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[ 0,+1,+1, +1, 0, 0],
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[ 0,-1,+1, +1, 0, 0],
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[-1, 0,+1, 0,+1, 0],
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[+1, 0,+1, 0,+1, 0]]),
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np.array([
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[+0,+1,+0, +0,+0,+1],
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[+1,+0,+0, +0,+0,+1]]),
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[ 0,+1, 0, 0, 0,+1],
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[+1, 0, 0, 0, 0,+1]]),
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np.array([
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[+1,+1,+0, +0,+0,+1],
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[-1,+1,+0, +0,+0,+1]]),
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[+1,+1, 0, 0, 0,+1],
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[-1,+1, 0, 0, 0,+1]]),
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np.array([
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[+0,+1,-1, +0,+1,+1],
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[+0,-1,-1, +0,-1,+1],
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[-1,+0,-1, -1,+0,+1],
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[+1,+0,-1, +1,+0,+1]]),
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[ 0,+1,-1, 0,+1,+1],
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[ 0,-1,-1, 0,-1,+1],
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[-1, 0,-1, -1, 0,+1],
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[+1, 0,-1, +1, 0,+1]]),
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np.array([
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[+1,-1,+1, +0,+1,+1],
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[+1,+1,-1, +0,+1,+1],
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[+1,+1,+1, +0,+1,-1],
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[-1,+1,+1, +0,+1,-1],
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[+1,-1,-1, +1,+0,+1],
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[-1,-1,+1, +1,+0,+1],
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[+1,+1,+1, +1,+0,-1],
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[+1,-1,+1, +1,+0,-1]]),
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[+1,-1,+1, 0,+1,+1],
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[+1,+1,-1, 0,+1,+1],
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[+1,+1,+1, 0,+1,-1],
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[-1,+1,+1, 0,+1,-1],
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[+1,-1,-1, +1, 0,+1],
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[-1,-1,+1, +1, 0,+1],
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[+1,+1,+1, +1, 0,-1],
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[+1,-1,+1, +1, 0,-1]]),
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np.array([
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[+1,+0,+0, +0,+1,+1],
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[+1,+0,+0, +0,+1,-1],
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[+0,+1,+0, +1,+0,+1],
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[+0,+1,+0, +1,+0,-1]]),
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[+1, 0, 0, 0,+1,+1],
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[+1, 0, 0, 0,+1,-1],
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[ 0,+1, 0, +1, 0,+1],
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[ 0,+1, 0, +1, 0,-1]]),
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np.array([
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[+0,+1,-1, +2,+1,+1],
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[+0,-1,-1, +2,-1,+1],
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[+1,+0,-1, +1,+2,+1],
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[-1,+0,-1, -1,+2,+1],
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[+0,+1,-1, -2,+1,+1],
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[+0,-1,-1, -2,-1,+1],
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[-1,+0,-1, -1,-2,+1],
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[+1,+0,-1, +1,-2,+1]]),
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[ 0,+1,-1, +2,+1,+1],
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[ 0,-1,-1, +2,-1,+1],
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[+1, 0,-1, +1,+2,+1],
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[-1, 0,-1, -1,+2,+1],
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[ 0,+1,-1, -2,+1,+1],
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[ 0,-1,-1, -2,-1,+1],
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[-1, 0,-1, -1,-2,+1],
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[+1, 0,-1, +1,-2,+1]]),
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np.array([
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[-1,+1,+1, +2,+1,+1],
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[-1,-1,+1, +2,-1,+1],
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@ -1,23 +1,23 @@
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3x3:1_Schmid 3x3:2_Schmid 3x3:3_Schmid 3x3:4_Schmid 3x3:5_Schmid 3x3:6_Schmid 3x3:7_Schmid 3x3:8_Schmid 3x3:9_Schmid
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0.0 0.4082482904638631 0.408248290463863 0.0 -0.408248290463863 -0.40824829046386296 0.0 0.4082482904638631 0.408248290463863
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0.0 -0.408248290463863 -0.40824829046386296 0.0 -0.408248290463863 -0.40824829046386296 0.0 0.4082482904638631 0.408248290463863
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0.0 -0.408248290463863 0.408248290463863 0.0 -0.408248290463863 0.408248290463863 0.0 -0.408248290463863 0.408248290463863
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0.0 0.408248290463863 0.40824829046386296 0.0 0.408248290463863 0.40824829046386296 0.0 -0.4082482904638631 -0.408248290463863
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0.0 0.408248290463863 -0.408248290463863 0.0 0.408248290463863 -0.408248290463863 0.0 0.408248290463863 -0.408248290463863
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0.0 0.40824829046386285 -0.40824829046386285 0.0 -0.408248290463863 0.408248290463863 0.0 -0.408248290463863 0.408248290463863
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-0.40824829046386296 2.4997998108697434e-17 -0.40824829046386285 0.4082482904638631 -2.4997998108697446e-17 0.408248290463863 0.4082482904638631 -2.4997998108697446e-17 0.408248290463863
|
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0.40824829046386296 -2.4997998108697434e-17 0.40824829046386285 -0.4082482904638631 2.4997998108697446e-17 -0.408248290463863 -0.4082482904638631 2.4997998108697446e-17 -0.408248290463863
|
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-0.408248290463863 2.499799810869744e-17 -0.40824829046386296 -0.408248290463863 2.499799810869744e-17 -0.40824829046386296 0.4082482904638631 -2.4997998108697446e-17 0.408248290463863
|
||||
-0.408248290463863 2.499799810869744e-17 0.408248290463863 -0.408248290463863 2.499799810869744e-17 0.408248290463863 -0.408248290463863 2.499799810869744e-17 0.408248290463863
|
||||
-0.408248290463863 2.499799810869744e-17 0.408248290463863 0.40824829046386296 -2.4997998108697437e-17 -0.40824829046386296 -0.408248290463863 2.499799810869744e-17 0.408248290463863
|
||||
0.408248290463863 -2.499799810869744e-17 -0.408248290463863 -0.40824829046386296 2.4997998108697437e-17 0.40824829046386296 0.408248290463863 -2.499799810869744e-17 -0.408248290463863
|
||||
-0.40824829046386296 -0.40824829046386285 4.999599621739487e-17 0.4082482904638631 0.408248290463863 -4.999599621739489e-17 0.4082482904638631 0.408248290463863 -4.999599621739489e-17
|
||||
-0.4082482904638631 -0.408248290463863 4.999599621739489e-17 0.408248290463863 0.40824829046386296 -4.999599621739488e-17 -0.4082482904638631 -0.408248290463863 4.999599621739489e-17
|
||||
-0.408248290463863 0.408248290463863 0.0 -0.408248290463863 0.408248290463863 0.0 -0.408248290463863 0.408248290463863 0.0
|
||||
-0.40824829046386296 0.40824829046386296 0.0 -0.40824829046386296 0.40824829046386296 0.0 0.408248290463863 -0.408248290463863 0.0
|
||||
0.408248290463863 -0.408248290463863 0.0 0.408248290463863 -0.408248290463863 0.0 0.408248290463863 -0.408248290463863 0.0
|
||||
0.40824829046386296 -0.40824829046386296 0.0 0.40824829046386296 -0.40824829046386296 0.0 -0.408248290463863 0.408248290463863 0.0
|
||||
-0.4714045207910316 -0.23570226039551578 -0.23570226039551576 0.4714045207910318 0.23570226039551587 0.23570226039551584 0.4714045207910318 0.23570226039551587 0.23570226039551584
|
||||
-0.4714045207910318 0.23570226039551595 0.2357022603955159 -0.4714045207910318 0.23570226039551595 0.2357022603955159 -0.4714045207910318 0.23570226039551595 0.2357022603955159
|
||||
0.47140452079103173 -0.2357022603955159 0.23570226039551584 0.47140452079103173 -0.2357022603955159 0.23570226039551584 -0.4714045207910318 0.23570226039551595 -0.23570226039551587
|
||||
-0.4714045207910318 0.23570226039551595 0.23570226039551595 -0.4714045207910318 0.23570226039551595 0.23570226039551595 -0.4714045207910318 0.23570226039551595 0.23570226039551595
|
||||
0.47140452079103173 -0.2357022603955159 0.23570226039551587 0.47140452079103173 -0.2357022603955159 0.23570226039551587 -0.4714045207910318 0.23570226039551595 -0.2357022603955159
|
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0.4714045207910318 0.23570226039551587 -0.23570226039551595 -0.47140452079103173 -0.23570226039551584 0.2357022603955159 0.4714045207910318 0.23570226039551587 -0.23570226039551595
|
||||
0.2357022603955159 0.4714045207910318 0.23570226039551584 -0.23570226039551587 -0.47140452079103173 -0.23570226039551578 0.2357022603955159 0.4714045207910318 0.23570226039551584
|
||||
-0.23570226039551587 0.47140452079103173 0.23570226039551587 -0.23570226039551587 0.47140452079103173 0.23570226039551587 0.2357022603955159 -0.4714045207910318 -0.2357022603955159
|
||||
0.2357022603955159 -0.4714045207910318 0.23570226039551595 0.2357022603955159 -0.4714045207910318 0.23570226039551595 0.2357022603955159 -0.4714045207910318 0.23570226039551595
|
||||
-0.23570226039551587 0.47140452079103173 0.23570226039551584 -0.23570226039551587 0.47140452079103173 0.23570226039551584 0.2357022603955159 -0.4714045207910318 -0.23570226039551587
|
||||
0.2357022603955159 -0.4714045207910318 0.2357022603955159 0.2357022603955159 -0.4714045207910318 0.2357022603955159 0.2357022603955159 -0.4714045207910318 0.2357022603955159
|
||||
-0.2357022603955158 -0.4714045207910316 0.23570226039551584 0.2357022603955159 0.4714045207910318 -0.23570226039551595 0.2357022603955159 0.4714045207910318 -0.23570226039551595
|
||||
0.23570226039551587 0.23570226039551584 0.47140452079103173 0.23570226039551587 0.23570226039551584 0.47140452079103173 -0.2357022603955159 -0.23570226039551587 -0.4714045207910318
|
||||
-0.2357022603955159 0.2357022603955159 0.4714045207910318 0.23570226039551587 -0.23570226039551587 -0.47140452079103173 -0.2357022603955159 0.2357022603955159 0.4714045207910318
|
||||
|
|
@ -36,7 +36,7 @@
|
|||
-0.30860669992418377 0.1543033499620919 -0.46291004988627565 0.3086066999241839 -0.15430334996209197 0.4629100498862758 0.3086066999241839 -0.15430334996209197 0.4629100498862758
|
||||
0.3086066999241839 0.1543033499620919 -0.4629100498862758 0.3086066999241839 0.1543033499620919 -0.4629100498862758 0.3086066999241839 0.1543033499620919 -0.4629100498862758
|
||||
0.3086066999241839 0.4629100498862758 0.15430334996209188 -0.3086066999241838 -0.4629100498862757 -0.15430334996209186 0.3086066999241839 0.4629100498862758 0.15430334996209188
|
||||
-0.3086066999241838 0.4629100498862757 0.15430334996209188 -0.3086066999241838 0.4629100498862757 0.15430334996209188 0.3086066999241839 -0.4629100498862758 -0.1543033499620919
|
||||
-0.3086066999241838 0.4629100498862757 0.1543033499620919 -0.3086066999241838 0.4629100498862757 0.1543033499620919 0.3086066999241839 -0.4629100498862758 -0.15430334996209194
|
||||
0.3086066999241839 -0.4629100498862758 0.15430334996209194 0.3086066999241839 -0.4629100498862758 0.15430334996209194 0.3086066999241839 -0.4629100498862758 0.15430334996209194
|
||||
-0.30860669992418377 -0.46291004988627565 0.15430334996209194 0.3086066999241839 0.4629100498862758 -0.154303349962092 0.3086066999241839 0.4629100498862758 -0.154303349962092
|
||||
-0.46291004988627565 -0.15430334996209186 -0.3086066999241837 0.4629100498862758 0.1543033499620919 0.3086066999241838 0.4629100498862758 0.1543033499620919 0.3086066999241838
|
||||
|
|
@ -45,5 +45,5 @@
|
|||
0.4629100498862758 0.1543033499620919 -0.3086066999241839 -0.4629100498862757 -0.15430334996209188 0.3086066999241838 0.4629100498862758 0.1543033499620919 -0.3086066999241839
|
||||
-0.46291004988627565 -0.3086066999241837 -0.1543033499620918 0.4629100498862758 0.3086066999241838 0.15430334996209188 0.4629100498862758 0.3086066999241838 0.15430334996209188
|
||||
-0.4629100498862758 0.3086066999241839 0.15430334996209194 -0.4629100498862758 0.3086066999241839 0.15430334996209194 -0.4629100498862758 0.3086066999241839 0.15430334996209194
|
||||
0.4629100498862757 -0.3086066999241838 0.1543033499620919 0.4629100498862757 -0.3086066999241838 0.1543033499620919 -0.4629100498862758 0.3086066999241839 -0.15430334996209194
|
||||
0.4629100498862757 -0.3086066999241838 0.15430334996209188 0.4629100498862757 -0.3086066999241838 0.15430334996209188 -0.4629100498862758 0.3086066999241839 -0.1543033499620919
|
||||
0.4629100498862758 0.3086066999241838 -0.154303349962092 -0.4629100498862757 -0.30860669992418377 0.15430334996209197 0.4629100498862758 0.3086066999241838 -0.154303349962092
|
||||
|
|
|
|||
|
|
@ -319,9 +319,7 @@ class TestOrientation:
|
|||
eu = o.related(model).as_Euler_angles(degrees=True)
|
||||
if update:
|
||||
coords = np.array([(1,i+1) for i,x in enumerate(eu)])
|
||||
Table(eu,{'Eulers':(3,)})\
|
||||
.add('pos',coords)\
|
||||
.save(reference)
|
||||
Table({'Eulers':(3,)},eu).set('pos',coords).save(reference)
|
||||
assert np.allclose(eu,Table.load(reference).get('Eulers'))
|
||||
|
||||
def test_basis_real(self):
|
||||
|
|
@ -369,8 +367,7 @@ class TestOrientation:
|
|||
reference = res_path/f'{lattice}_{mode}.txt'
|
||||
P = O.Schmid(N_slip='*') if mode == 'slip' else O.Schmid(N_twin='*')
|
||||
if update:
|
||||
table = Table(P.reshape(-1,9),{'Schmid':(3,3,)})
|
||||
table.save(reference)
|
||||
Table({'Schmid':(3,3,)},P.reshape(-1,9)).save(reference)
|
||||
assert np.allclose(P,Table.load(reference).get('Schmid'))
|
||||
|
||||
def test_Schmid_invalid(self):
|
||||
|
|
|
|||
|
|
@ -123,18 +123,21 @@ module crystal
|
|||
real(pREAL), dimension(3+3,CI_NSLIP), parameter :: &
|
||||
CI_SYSTEMSLIP = reshape(real([&
|
||||
! <111>{110} systems
|
||||
! Sign convention follows Table 1 of 10.1016/j.ijplas.2020.102733
|
||||
! to allow for universal calculation of non-glide plane normal n1 = Rot(-m,60°) @ n
|
||||
! The choice matters since Rot(-m,60°) @ n ≠ Rot(m,60°) @ -n ..!
|
||||
1,-1, 1, 0, 1, 1, &
|
||||
-1,-1, 1, 0, 1, 1, &
|
||||
1, 1, 1, 0,-1, 1, &
|
||||
-1,-1, 1, 0,-1,-1, &
|
||||
1, 1, 1, 0, 1,-1, &
|
||||
-1, 1, 1, 0,-1, 1, &
|
||||
-1, 1, 1, 1, 0, 1, &
|
||||
-1, 1, 1, -1, 0,-1, &
|
||||
-1,-1, 1, 1, 0, 1, &
|
||||
1, 1, 1, -1, 0, 1, &
|
||||
1,-1, 1, -1, 0, 1, &
|
||||
1,-1, 1, 1, 0,-1, &
|
||||
-1, 1, 1, 1, 1, 0, &
|
||||
-1, 1,-1, 1, 1, 0, &
|
||||
1, 1, 1, -1, 1, 0, &
|
||||
1, 1,-1, -1, 1, 0, &
|
||||
1,-1, 1, -1,-1, 0, &
|
||||
1, 1, 1, 1,-1, 0, &
|
||||
-1,-1, 1, -1, 1, 0, &
|
||||
! <111>{112} systems
|
||||
-1, 1, 1, 2, 1, 1, &
|
||||
1, 1, 1, -2, 1, 1, &
|
||||
|
|
|
|||
Loading…
Reference in New Issue