i1 : f = random(ZZ^6, ZZ^4) o1 = | 2 0 8 4 | | 8 5 0 5 | | 8 5 9 9 | | 8 0 7 1 | | 5 7 4 8 | | 9 4 3 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 64 84 |, | 44 0 0 420 |) | 16 15 0 105 | | 176 975 0 525 | | 16 15 72 189 | | 176 975 0 945 | | 16 0 56 21 | | 176 0 0 105 | | 10 21 32 168 | | 110 1365 0 840 | | 18 12 24 84 | | 198 780 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 |