i1 : f = random(ZZ^6, ZZ^4) o1 = | 5 1 5 6 | | 7 0 4 8 | | 0 7 5 6 | | 2 0 2 2 | | 6 6 6 3 | | 1 9 9 8 | 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 (| 10 3 40 126 |, | 110 195 0 630 |) | 14 0 32 168 | | 154 0 0 840 | | 0 21 40 126 | | 0 1365 0 630 | | 4 0 16 42 | | 44 0 0 210 | | 12 18 48 63 | | 132 1170 0 315 | | 2 27 72 168 | | 22 1755 0 840 | 6 o2 : ZZ-module, subquotient of ZZ |
i3 : factor M ZZ ZZ ZZ o3 = ZZ + -- + -- + ---- 5 11 5*13 o3 : Expression of class Sum |