i1 : f = random(ZZ^6, ZZ^4) o1 = | 7 7 9 5 | | 3 0 3 0 | | 8 9 0 6 | | 6 5 3 3 | | 0 1 7 3 | | 3 1 5 4 | 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 (| 14 21 72 105 |, | 154 1365 0 525 |) | 6 0 24 0 | | 66 0 0 0 | | 16 27 0 126 | | 176 1755 0 630 | | 12 15 24 63 | | 132 975 0 315 | | 0 3 56 63 | | 0 195 0 315 | | 6 3 40 84 | | 66 195 0 420 | 6 o2 : ZZ-module, subquotient of ZZ |
i3 : factor M ZZ ZZ ZZ o3 = ZZ + -- + -- + ---- 5 11 5*13 o3 : Expression of class Sum |