i1 : f = random(ZZ^6, ZZ^4) o1 = | 6 4 1 7 | | 8 9 8 5 | | 6 9 8 7 | | 4 1 2 7 | | 1 9 9 0 | | 5 8 9 9 | 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 (| 12 12 8 147 |, | 132 780 0 735 |) | 16 27 64 105 | | 176 1755 0 525 | | 12 27 64 147 | | 132 1755 0 735 | | 8 3 16 147 | | 88 195 0 735 | | 2 27 72 0 | | 22 1755 0 0 | | 10 24 72 189 | | 110 1560 0 945 | 6 o2 : ZZ-module, subquotient of ZZ |
i3 : factor M ZZ ZZ ZZ o3 = ZZ + -- + -- + ---- 5 11 5*13 o3 : Expression of class Sum |