i1 : f = random(ZZ^6, ZZ^4) o1 = | 4 1 6 1 | | 2 5 4 8 | | 7 7 5 9 | | 5 5 1 1 | | 3 9 6 8 | | 2 6 8 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 (| 8 3 48 21 |, | 88 195 0 105 |) | 4 15 32 168 | | 44 975 0 840 | | 14 21 40 189 | | 154 1365 0 945 | | 10 15 8 21 | | 110 975 0 105 | | 6 27 48 168 | | 66 1755 0 840 | | 4 18 64 0 | | 44 1170 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 |