i1 : f = random(ZZ^6, ZZ^4) o1 = | 7 2 5 1 | | 1 6 6 5 | | 4 9 2 2 | | 6 3 4 2 | | 2 2 1 3 | | 8 6 7 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 (| 14 6 40 21 |, | 154 390 0 105 |) | 2 18 48 105 | | 22 1170 0 525 | | 8 27 16 42 | | 88 1755 0 210 | | 12 9 32 42 | | 132 585 0 210 | | 4 6 8 63 | | 44 390 0 315 | | 16 18 56 84 | | 176 1170 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 |