i1 : f = random(ZZ^6, ZZ^4) o1 = | 3 0 5 8 | | 8 9 6 1 | | 8 8 4 4 | | 0 6 6 9 | | 8 4 4 2 | | 9 8 7 8 | 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 0 40 168 |, | 66 0 0 840 |) | 16 27 48 21 | | 176 1755 0 105 | | 16 24 32 84 | | 176 1560 0 420 | | 0 18 48 189 | | 0 1170 0 945 | | 16 12 32 42 | | 176 780 0 210 | | 18 24 56 168 | | 198 1560 0 840 | 6 o2 : ZZ-module, subquotient of ZZ |
i3 : factor M ZZ ZZ ZZ o3 = ZZ + -- + -- + ---- 5 11 5*13 o3 : Expression of class Sum |