i1 : f = random(ZZ^6, ZZ^4) o1 = | 4 9 5 3 | | 6 4 6 0 | | 9 9 3 2 | | 8 2 3 3 | | 5 5 1 3 | | 0 8 6 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 27 40 63 |, | 88 1755 0 315 |) | 12 12 48 0 | | 132 780 0 0 | | 18 27 24 42 | | 198 1755 0 210 | | 16 6 24 63 | | 176 390 0 315 | | 10 15 8 63 | | 110 975 0 315 | | 0 24 48 126 | | 0 1560 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 |