i1 : f = random(ZZ^6, ZZ^4) o1 = | 1 7 8 8 | | 0 4 6 6 | | 0 8 4 4 | | 2 6 9 6 | | 1 4 7 6 | | 2 2 7 5 | 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 (| 2 21 64 168 |, | 22 1365 0 840 |) | 0 12 48 126 | | 0 780 0 630 | | 0 24 32 84 | | 0 1560 0 420 | | 4 18 72 126 | | 44 1170 0 630 | | 2 12 56 126 | | 22 780 0 630 | | 4 6 56 105 | | 44 390 0 525 | 6 o2 : ZZ-module, subquotient of ZZ |
i3 : factor M ZZ ZZ ZZ o3 = ZZ + -- + -- + ---- 5 11 5*13 o3 : Expression of class Sum |