i1 : f = random(ZZ^6, ZZ^4) o1 = | 6 1 1 3 | | 8 3 3 5 | | 1 3 0 0 | | 5 2 9 1 | | 3 7 6 7 | | 1 9 5 5 | 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 3 8 63 |, | 132 195 0 315 |) | 16 9 24 105 | | 176 585 0 525 | | 2 9 0 0 | | 22 585 0 0 | | 10 6 72 21 | | 110 390 0 105 | | 6 21 48 147 | | 66 1365 0 735 | | 2 27 40 105 | | 22 1755 0 525 | 6 o2 : ZZ-module, subquotient of ZZ |
i3 : factor M ZZ ZZ ZZ o3 = ZZ + -- + -- + ---- 5 11 5*13 o3 : Expression of class Sum |