i1 : f = random(ZZ^6, ZZ^4) o1 = | 9 3 8 4 | | 6 0 4 1 | | 1 5 0 9 | | 0 3 4 3 | | 5 9 3 3 | | 0 3 6 1 | 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 (| 18 9 64 84 |, | 198 585 0 420 |) | 12 0 32 21 | | 132 0 0 105 | | 2 15 0 189 | | 22 975 0 945 | | 0 9 32 63 | | 0 585 0 315 | | 10 27 24 63 | | 110 1755 0 315 | | 0 9 48 21 | | 0 585 0 105 | 6 o2 : ZZ-module, subquotient of ZZ |
i3 : factor M ZZ ZZ ZZ o3 = ZZ + -- + -- + ---- 5 11 5*13 o3 : Expression of class Sum |