i1 : f = random(ZZ^6, ZZ^4) o1 = | 4 5 9 2 | | 4 0 2 5 | | 5 7 6 6 | | 6 7 2 8 | | 9 8 2 4 | | 4 4 8 6 | 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 15 72 42 |, | 88 975 0 210 |) | 8 0 16 105 | | 88 0 0 525 | | 10 21 48 126 | | 110 1365 0 630 | | 12 21 16 168 | | 132 1365 0 840 | | 18 24 16 84 | | 198 1560 0 420 | | 8 12 64 126 | | 88 780 0 630 | 6 o2 : ZZ-module, subquotient of ZZ |
i3 : factor M ZZ ZZ ZZ o3 = ZZ + -- + -- + ---- 5 11 5*13 o3 : Expression of class Sum |