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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
Project: cocalc-sagemath-dev-slelievre
Views: 418346# S1 with C2-iso and a V4-point M := [ [1,2], [1,3], [2,3] ]; C2 := Group( (1,2) ); V4 := Group( (1,2), (3,4) ); iso := rec( 1 := V4, 2 := C2, 3 := C2 ); mu := []; dim := 4; # 1: 3 x 23 matrix with rank 2 and kernel dimension 1. Time: 0.000 sec. # 2: 23 x 131 matrix with rank 18 and kernel dimension 5. Time: 0.000 sec. # 3: 131 x 791 matrix with rank 109 and kernel dimension 22. Time: 0.008 sec. # 4: 791 x 5123 matrix with rank 677 and kernel dimension 114. Time: 0.248 sec. # 5: 5123 x 34583 matrix with rank 4440 and kernel dimension 683. Time: 10.929 sec. # 6: 34583 x 238211 matrix with rank 30136 and kernel dimension 4447. Time: 483.906 sec. # Cohomology dimension at degree 0: GF(2)^(1 x 1) # Cohomology dimension at degree 1: GF(2)^(1 x 3) # Cohomology dimension at degree 2: GF(2)^(1 x 4) # Cohomology dimension at degree 3: GF(2)^(1 x 5) # Cohomology dimension at degree 4: GF(2)^(1 x 6) # Cohomology dimension at degree 5: GF(2)^(1 x 7) #Z #Z # 2 # 2 # 3 # 3 # 4 # 4 # 5 # 5