i1 : f = random(ZZ^6, ZZ^4) o1 = | 2 8 4 5 | | 9 4 9 8 | | 0 6 2 1 | | 2 5 4 8 | | 3 6 1 1 | | 5 9 1 2 | 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 (| 4 24 32 105 |, | 44 1560 0 525 |) | 18 12 72 168 | | 198 780 0 840 | | 0 18 16 21 | | 0 1170 0 105 | | 4 15 32 168 | | 44 975 0 840 | | 6 18 8 21 | | 66 1170 0 105 | | 10 27 8 42 | | 110 1755 0 210 | 6 o2 : ZZ-module, subquotient of ZZ |
i3 : factor M ZZ ZZ ZZ o3 = ZZ + -- + -- + ---- 5 11 5*13 o3 : Expression of class Sum |