i1 : f = random(ZZ^6, ZZ^4) o1 = | 3 6 3 2 | | 1 2 1 7 | | 1 3 3 0 | | 2 2 6 5 | | 1 9 3 6 | | 0 7 6 5 | 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 18 24 42 |, | 66 1170 0 210 |) | 2 6 8 147 | | 22 390 0 735 | | 2 9 24 0 | | 22 585 0 0 | | 4 6 48 105 | | 44 390 0 525 | | 2 27 24 126 | | 22 1755 0 630 | | 0 21 48 105 | | 0 1365 0 525 | 6 o2 : ZZ-module, subquotient of ZZ |
i3 : factor M ZZ ZZ ZZ o3 = ZZ + -- + -- + ---- 5 11 5*13 o3 : Expression of class Sum |