i1 : f = random(ZZ^6, ZZ^4) o1 = | 1 0 6 2 | | 1 7 0 2 | | 4 1 5 1 | | 4 9 7 4 | | 2 9 6 6 | | 6 1 7 4 | 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 (| 2 0 48 42 |, | 22 0 0 210 |) | 2 21 0 42 | | 22 1365 0 210 | | 8 3 40 21 | | 88 195 0 105 | | 8 27 56 84 | | 88 1755 0 420 | | 4 27 48 126 | | 44 1755 0 630 | | 12 3 56 84 | | 132 195 0 420 | 6 o2 : ZZ-module, subquotient of ZZ |
i3 : factor M ZZ ZZ ZZ o3 = ZZ + -- + -- + ---- 5 11 5*13 o3 : Expression of class Sum |