i1 : f = random(ZZ^6, ZZ^4) o1 = | 0 6 7 3 | | 7 1 7 9 | | 6 6 5 9 | | 7 5 3 8 | | 2 4 0 0 | | 2 1 0 2 | 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 18 56 63 |, | 0 1170 0 315 |) | 14 3 56 189 | | 154 195 0 945 | | 12 18 40 189 | | 132 1170 0 945 | | 14 15 24 168 | | 154 975 0 840 | | 4 12 0 0 | | 44 780 0 0 | | 4 3 0 42 | | 44 195 0 210 | 6 o2 : ZZ-module, subquotient of ZZ |
i3 : factor M ZZ ZZ ZZ o3 = ZZ + -- + -- + ---- 5 11 5*13 o3 : Expression of class Sum |