i1 : f = random(ZZ^6, ZZ^4) o1 = | 4 7 6 9 | | 5 5 0 4 | | 4 1 4 8 | | 1 0 1 2 | | 2 9 4 6 | | 5 8 6 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 (| 8 21 48 189 |, | 88 1365 0 945 |) | 10 15 0 84 | | 110 975 0 420 | | 8 3 32 168 | | 88 195 0 840 | | 2 0 8 42 | | 22 0 0 210 | | 4 27 32 126 | | 44 1755 0 630 | | 10 24 48 84 | | 110 1560 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 |