i1 : f = random(ZZ^6, ZZ^4) o1 = | 0 8 6 1 | | 8 5 2 2 | | 2 7 8 5 | | 7 4 0 0 | | 1 3 9 9 | | 2 0 4 9 | 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 (| 0 24 48 21 |, | 0 1560 0 105 |) | 16 15 16 42 | | 176 975 0 210 | | 4 21 64 105 | | 44 1365 0 525 | | 14 12 0 0 | | 154 780 0 0 | | 2 9 72 189 | | 22 585 0 945 | | 4 0 32 189 | | 44 0 0 945 | 6 o2 : ZZ-module, subquotient of ZZ |
i3 : factor M ZZ ZZ ZZ o3 = ZZ + -- + -- + ---- 5 11 5*13 o3 : Expression of class Sum |