i1 : f = random(ZZ^6, ZZ^4) o1 = | 2 0 5 7 | | 9 8 7 2 | | 6 6 2 7 | | 0 0 0 1 | | 1 5 5 3 | | 4 6 1 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 (| 4 0 40 147 |, | 44 0 0 735 |) | 18 24 56 42 | | 198 1560 0 210 | | 12 18 16 147 | | 132 1170 0 735 | | 0 0 0 21 | | 0 0 0 105 | | 2 15 40 63 | | 22 975 0 315 | | 8 18 8 84 | | 88 1170 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 |