i1 : f = random(ZZ^6, ZZ^4) o1 = | 3 0 8 2 | | 2 1 6 0 | | 2 5 9 1 | | 9 6 4 1 | | 6 9 1 9 | | 9 2 0 8 | 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 (| 6 0 64 42 |, | 66 0 0 210 |) | 4 3 48 0 | | 44 195 0 0 | | 4 15 72 21 | | 44 975 0 105 | | 18 18 32 21 | | 198 1170 0 105 | | 12 27 8 189 | | 132 1755 0 945 | | 18 6 0 168 | | 198 390 0 840 | 6 o2 : ZZ-module, subquotient of ZZ |
i3 : factor M ZZ ZZ ZZ o3 = ZZ + -- + -- + ---- 5 11 5*13 o3 : Expression of class Sum |