i1 : f = random(ZZ^6, ZZ^4) o1 = | 0 2 0 5 | | 8 7 2 4 | | 7 6 3 4 | | 7 8 0 2 | | 8 9 7 2 | | 2 0 7 7 | 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 (| 0 6 0 105 |, | 0 390 0 525 |) | 16 21 16 84 | | 176 1365 0 420 | | 14 18 24 84 | | 154 1170 0 420 | | 14 24 0 42 | | 154 1560 0 210 | | 16 27 56 42 | | 176 1755 0 210 | | 4 0 56 147 | | 44 0 0 735 | 6 o2 : ZZ-module, subquotient of ZZ |
i3 : factor M ZZ ZZ ZZ o3 = ZZ + -- + -- + ---- 5 11 5*13 o3 : Expression of class Sum |