i1 : f = random(ZZ^6, ZZ^4) o1 = | 7 1 8 3 | | 4 3 7 5 | | 5 3 4 8 | | 3 2 0 6 | | 7 5 8 7 | | 2 1 3 2 | 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 (| 14 3 64 63 |, | 154 195 0 315 |) | 8 9 56 105 | | 88 585 0 525 | | 10 9 32 168 | | 110 585 0 840 | | 6 6 0 126 | | 66 390 0 630 | | 14 15 64 147 | | 154 975 0 735 | | 4 3 24 42 | | 44 195 0 210 | 6 o2 : ZZ-module, subquotient of ZZ |
i3 : factor M ZZ ZZ ZZ o3 = ZZ + -- + -- + ---- 5 11 5*13 o3 : Expression of class Sum |