i1 : f = random(ZZ^6, ZZ^4) o1 = | 7 0 9 7 | | 7 5 5 0 | | 7 8 6 1 | | 5 2 0 5 | | 3 9 7 1 | | 4 5 2 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 (| 14 0 72 147 |, | 154 0 0 735 |) | 14 15 40 0 | | 154 975 0 0 | | 14 24 48 21 | | 154 1560 0 105 | | 10 6 0 105 | | 110 390 0 525 | | 6 27 56 21 | | 66 1755 0 105 | | 8 15 16 42 | | 88 975 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 |