i1 : f = random(ZZ^6, ZZ^4) o1 = | 7 2 8 3 | | 5 4 4 4 | | 0 0 8 5 | | 4 9 9 3 | | 4 6 4 5 | | 2 6 6 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 (| 14 6 64 63 |, | 154 390 0 315 |) | 10 12 32 84 | | 110 780 0 420 | | 0 0 64 105 | | 0 0 0 525 | | 8 27 72 63 | | 88 1755 0 315 | | 8 18 32 105 | | 88 1170 0 525 | | 4 18 48 147 | | 44 1170 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 |