i1 : f = random(ZZ^6, ZZ^4) o1 = | 8 9 0 2 | | 6 0 0 1 | | 0 8 9 1 | | 4 4 8 1 | | 5 6 1 4 | | 1 6 1 1 | 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 (| 16 27 0 42 |, | 176 1755 0 210 |) | 12 0 0 21 | | 132 0 0 105 | | 0 24 72 21 | | 0 1560 0 105 | | 8 12 64 21 | | 88 780 0 105 | | 10 18 8 84 | | 110 1170 0 420 | | 2 18 8 21 | | 22 1170 0 105 | 6 o2 : ZZ-module, subquotient of ZZ |
i3 : factor M ZZ ZZ ZZ o3 = ZZ + -- + -- + ---- 5 11 5*13 o3 : Expression of class Sum |