i1 : f = random(ZZ^6, ZZ^4) o1 = | 4 6 5 6 | | 3 5 7 3 | | 8 6 0 4 | | 1 5 3 5 | | 3 5 9 7 | | 9 4 2 0 | 6 4 o1 : Matrix ZZ <--- ZZ |
i2 : M = subquotient ( f * diagonalMatrix{2,3,8,21}, f * diagonalMatrix{2*11,3*5*13,0,21*5} ) o2 = subquotient (| 8 18 40 126 |, | 88 1170 0 630 |) | 6 15 56 63 | | 66 975 0 315 | | 16 18 0 84 | | 176 1170 0 420 | | 2 15 24 105 | | 22 975 0 525 | | 6 15 72 147 | | 66 975 0 735 | | 18 12 16 0 | | 198 780 0 0 | 6 o2 : ZZ-module, subquotient of ZZ |
i3 : factor M ZZ ZZ ZZ o3 = ZZ + -- + -- + ---- 5 11 5*13 o3 : Expression of class Sum |