i1 : f = random(ZZ^6, ZZ^4) o1 = | 7 9 7 2 | | 9 5 3 6 | | 0 1 3 8 | | 3 8 7 1 | | 1 5 5 9 | | 7 6 3 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 (| 14 27 56 42 |, | 154 1755 0 210 |) | 18 15 24 126 | | 198 975 0 630 | | 0 3 24 168 | | 0 195 0 840 | | 6 24 56 21 | | 66 1560 0 105 | | 2 15 40 189 | | 22 975 0 945 | | 14 18 24 21 | | 154 1170 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 |