i1 : f = random(ZZ^6, ZZ^4) o1 = | 0 0 -4 -6 | | 1 7 6 4 | | 5 8 0 -4 | | 2 -9 -2 3 | | -9 4 9 -7 | | -9 -10 -5 4 | 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 0 -32 -126 |, | 0 0 0 -630 |) | 2 21 48 84 | | 22 1365 0 420 | | 10 24 0 -84 | | 110 1560 0 -420 | | 4 -27 -16 63 | | 44 -1755 0 315 | | -18 12 72 -147 | | -198 780 0 -735 | | -18 -30 -40 84 | | -198 -1950 0 420 | 6 o2 : ZZ-module, subquotient of ZZ |
i3 : factor M ZZ ZZ ZZ o3 = ZZ + -- + -- + ---- 5 11 5*13 o3 : Expression of class Sum |