i1 : f = random(ZZ^6, ZZ^4) o1 = | 4 9 1 8 | | 9 0 0 2 | | 0 0 2 5 | | 0 7 2 8 | | 0 6 1 7 | | 8 1 6 0 | 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 (| 8 27 8 168 |, | 88 1755 0 840 |) | 18 0 0 42 | | 198 0 0 210 | | 0 0 16 105 | | 0 0 0 525 | | 0 21 16 168 | | 0 1365 0 840 | | 0 18 8 147 | | 0 1170 0 735 | | 16 3 48 0 | | 176 195 0 0 | 6 o2 : ZZ-module, subquotient of ZZ |
i3 : factor M ZZ ZZ ZZ o3 = ZZ + -- + -- + ---- 5 11 5*13 o3 : Expression of class Sum |