i1 : f = random(ZZ^6, ZZ^4) o1 = | 1 3 6 9 | | 2 2 7 1 | | 6 6 8 0 | | 5 5 7 8 | | 3 5 0 4 | | 2 4 8 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 9 48 189 |, | 22 585 0 945 |) | 4 6 56 21 | | 44 390 0 105 | | 12 18 64 0 | | 132 1170 0 0 | | 10 15 56 168 | | 110 975 0 840 | | 6 15 0 84 | | 66 975 0 420 | | 4 12 64 84 | | 44 780 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 |