i1 : f = random(ZZ^6, ZZ^4) o1 = | 4 4 0 8 | | 2 5 5 1 | | 0 8 3 3 | | 4 5 9 3 | | 9 6 7 8 | | 0 1 4 7 | 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 (| 8 12 0 168 |, | 88 780 0 840 |) | 4 15 40 21 | | 44 975 0 105 | | 0 24 24 63 | | 0 1560 0 315 | | 8 15 72 63 | | 88 975 0 315 | | 18 18 56 168 | | 198 1170 0 840 | | 0 3 32 147 | | 0 195 0 735 | 6 o2 : ZZ-module, subquotient of ZZ |
i3 : factor M ZZ ZZ ZZ o3 = ZZ + -- + -- + ---- 5 11 5*13 o3 : Expression of class Sum |