Compute the j-th reduced homology of C with coefficients in R.
i1 : R=ZZ[x_0..x_5]; |
i2 : D=simplicialComplex apply({{x_0, x_1, x_2}, {x_1, x_2, x_3}, {x_0, x_1, x_4}, {x_0, x_3, x_4}, {x_2, x_3, x_4}, {x_0, x_2, x_5}, {x_0, x_3, x_5}, {x_1, x_3, x_5}, {x_1, x_4, x_5}, {x_2, x_4, x_5}},face) o2 = | x_2x_4x_5 x_1x_4x_5 x_1x_3x_5 x_0x_3x_5 x_0x_2x_5 x_2x_3x_4 x_0x_3x_4 x_0x_1x_4 x_1x_2x_3 x_0x_1x_2 | o2 : SimplicialComplex |
i3 : prune homology(1,D,ZZ) o3 = cokernel | 2 | 1 o3 : ZZ-module, quotient of ZZ |
i4 : prune homology(1,D,QQ) o4 = 0 o4 : QQ-module |
i5 : prune homology(1,D,ZZ/2) ZZ 1 o5 = (--) 2 ZZ o5 : ---module, free 2 |