i1 : f = random(ZZ^6, ZZ^4) o1 = | 2 9 7 7 | | 7 5 0 8 | | 8 5 3 2 | | 9 4 2 1 | | 5 0 7 0 | | 8 5 7 3 | 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 (| 4 27 56 147 |, | 44 1755 0 735 |) | 14 15 0 168 | | 154 975 0 840 | | 16 15 24 42 | | 176 975 0 210 | | 18 12 16 21 | | 198 780 0 105 | | 10 0 56 0 | | 110 0 0 0 | | 16 15 56 63 | | 176 975 0 315 | 6 o2 : ZZ-module, subquotient of ZZ |
i3 : factor M ZZ ZZ ZZ o3 = ZZ + -- + -- + ---- 5 11 5*13 o3 : Expression of class Sum |