i1 : f = random(ZZ^6, ZZ^4) o1 = | 6 6 3 8 | | 5 7 3 4 | | 1 1 4 2 | | 1 7 6 4 | | 4 1 4 5 | | 1 0 3 3 | 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 (| 12 18 24 168 |, | 132 1170 0 840 |) | 10 21 24 84 | | 110 1365 0 420 | | 2 3 32 42 | | 22 195 0 210 | | 2 21 48 84 | | 22 1365 0 420 | | 8 3 32 105 | | 88 195 0 525 | | 2 0 24 63 | | 22 0 0 315 | 6 o2 : ZZ-module, subquotient of ZZ |
i3 : factor M ZZ ZZ ZZ o3 = ZZ + -- + -- + ---- 5 11 5*13 o3 : Expression of class Sum |