i1 : f = random(ZZ^6, ZZ^4) o1 = | 3 0 7 5 | | 0 0 8 9 | | 9 6 7 3 | | 9 2 2 3 | | 3 6 4 8 | | 9 5 2 0 | 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 (| 6 0 56 105 |, | 66 0 0 525 |) | 0 0 64 189 | | 0 0 0 945 | | 18 18 56 63 | | 198 1170 0 315 | | 18 6 16 63 | | 198 390 0 315 | | 6 18 32 168 | | 66 1170 0 840 | | 18 15 16 0 | | 198 975 0 0 | 6 o2 : ZZ-module, subquotient of ZZ |
i3 : factor M ZZ ZZ ZZ o3 = ZZ + -- + -- + ---- 5 11 5*13 o3 : Expression of class Sum |