i1 : L1 = diagonalMatchingField(2, 4)
o1 = Grassmannian Matching Field for Gr(2, 4)
o1 : GrMatchingField
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i2 : getWeightMatrix L1
o2 = | 0 0 0 0 |
| 4 3 2 1 |
2 4
o2 : Matrix ZZ <-- ZZ
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i3 : getTuples L1
o3 = {{1, 2}, {1, 3}, {2, 3}, {1, 4}, {2, 4}, {3, 4}}
o3 : List
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i4 : L2 = grMatchingField matrix {{0,0,0,0}, {8,4,2,1}}
o4 = Grassmannian Matching Field for Gr(2, 4)
o4 : GrMatchingField
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i5 : getWeightMatrix L2
o5 = | 0 0 0 0 |
| 8 4 2 1 |
2 4
o5 : Matrix ZZ <-- ZZ
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i6 : getTuples L2
o6 = {{1, 2}, {1, 3}, {2, 3}, {1, 4}, {2, 4}, {3, 4}}
o6 : List
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i7 : L1 == L2
o7 = true
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i8 : L3 = grMatchingField(2, 4, {{3,4},{2,4},{1,4},{2,3},{1,3},{1,2}})
o8 = Grassmannian Matching Field for Gr(2, 4)
o8 : GrMatchingField
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i9 : L3 == L1
o9 = true
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