i1 : f = random(ZZ^6, ZZ^4) o1 = | 8 4 1 4 | | 9 0 1 2 | | 7 9 3 7 | | 5 0 2 8 | | 6 8 1 2 | | 6 2 3 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 (| 16 12 8 84 |, | 176 780 0 420 |) | 18 0 8 42 | | 198 0 0 210 | | 14 27 24 147 | | 154 1755 0 735 | | 10 0 16 168 | | 110 0 0 840 | | 12 24 8 42 | | 132 1560 0 210 | | 12 6 24 105 | | 132 390 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 |