i1 : f = random(ZZ^6, ZZ^4) o1 = | 1 0 8 4 | | 6 9 3 8 | | 3 2 0 7 | | 9 9 3 7 | | 6 1 3 6 | | 1 9 4 1 | 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 0 64 84 |, | 22 0 0 420 |) | 12 27 24 168 | | 132 1755 0 840 | | 6 6 0 147 | | 66 390 0 735 | | 18 27 24 147 | | 198 1755 0 735 | | 12 3 24 126 | | 132 195 0 630 | | 2 27 32 21 | | 22 1755 0 105 | 6 o2 : ZZ-module, subquotient of ZZ |
i3 : factor M ZZ ZZ ZZ o3 = ZZ + -- + -- + ---- 5 11 5*13 o3 : Expression of class Sum |