The graded module of reduced homologies 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 : homology D o3 = -1 : cokernel | -1 -1 -1 -1 -1 -1 | 0 : subquotient (| 1 0 0 0 0 |, | 1 1 1 1 1 0 0 0 0 0 0 | 0 0 1 0 0 | | -1 0 0 0 0 1 1 1 1 0 0 | 0 1 0 0 0 | | 0 -1 0 0 0 -1 0 0 0 1 1 | 0 0 0 1 0 | | 0 0 -1 0 0 0 -1 0 0 -1 0 | -1 -1 0 0 1 | | 0 0 0 -1 0 0 0 -1 0 0 -1 | 0 0 -1 -1 -1 | | 0 0 0 0 -1 0 0 0 -1 0 0 0 0 0 0 |) 0 0 0 0 | 1 0 0 0 | 0 1 1 0 | 0 -1 0 1 | -1 0 -1 -1 | 1 : subquotient (| 0 1 0 0 0 0 0 0 0 0 |, | -1 -1 0 0 0 0 | 1 0 0 0 0 0 0 0 0 0 | | 1 0 -1 0 0 0 | 0 -1 1 0 -1 0 1 0 1 0 | | 0 0 0 -1 -1 0 | 0 0 0 0 0 1 0 0 0 0 | | 0 1 0 1 0 0 | -1 0 -1 0 1 -1 -1 0 -1 0 | | 0 0 1 0 1 0 | 0 0 0 0 1 0 0 0 0 0 | | -1 0 0 0 0 -1 | 0 0 0 1 0 0 0 0 1 1 | | 0 0 0 0 0 1 | 0 1 -1 0 0 0 0 0 -1 0 | | 0 -1 0 0 0 0 | 0 0 1 -1 -1 0 0 0 0 -1 | | 0 0 0 0 0 0 | 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 -1 | 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 | 1 0 0 0 1 0 0 -1 0 -1 | | 0 0 -1 0 0 0 | 0 -1 1 0 -1 0 1 1 2 1 | | 0 0 0 -1 0 0 | 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 -1 0 | 0 0 0 0 -1 1 1 1 1 2 | | 0 0 0 0 0 0 0 0 0 0 |) 0 0 0 0 | 0 0 0 0 | 0 0 0 0 | 0 0 0 0 | 0 0 0 0 | -1 0 0 0 | 0 -1 0 0 | 1 1 0 0 | 0 0 -1 0 | 0 0 1 -1 | 0 0 0 1 | 0 0 -1 0 | -1 0 0 0 | 0 -1 0 -1 | 2 : image 0 o3 : GradedModule |