i1 : f = random(ZZ^6, ZZ^4) o1 = | 8 6 3 1 | | 5 1 6 9 | | 0 2 0 1 | | 8 0 5 2 | | 1 9 8 9 | | 7 0 8 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 (| 16 18 24 21 |, | 176 1170 0 105 |) | 10 3 48 189 | | 110 195 0 945 | | 0 6 0 21 | | 0 390 0 105 | | 16 0 40 42 | | 176 0 0 210 | | 2 27 64 189 | | 22 1755 0 945 | | 14 0 64 42 | | 154 0 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 |