i1 : f = random(ZZ^6, ZZ^4) o1 = | 3 9 0 3 | | 3 7 2 1 | | 4 0 9 3 | | 5 9 4 2 | | 1 7 5 3 | | 0 2 8 6 | 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 (| 6 27 0 63 |, | 66 1755 0 315 |) | 6 21 16 21 | | 66 1365 0 105 | | 8 0 72 63 | | 88 0 0 315 | | 10 27 32 42 | | 110 1755 0 210 | | 2 21 40 63 | | 22 1365 0 315 | | 0 6 64 126 | | 0 390 0 630 | 6 o2 : ZZ-module, subquotient of ZZ |
i3 : factor M ZZ ZZ ZZ o3 = ZZ + -- + -- + ---- 5 11 5*13 o3 : Expression of class Sum |