i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | 0 0 0 38863 43123 0 93099 80830 0 35257 |
| 0 -38608 0 0 0 15529 -72800 0 -34067 0 |
| -79864 61987 0 0 -2792 94899 0 1106 46144 0 |
| 87626 -31611 0 0 0 0 0 0 0 61259 |
| 0 0 -60513 -9972 0 0 0 84428 -72650 -59821 |
| -4065 0 0 83532 -76262 0 -77332 0 -87138 0 |
| -85255 0 0 0 74347 -18099 0 14600 0 -7478 |
| 68771 0 23567 -30675 37223 0 0 0 0 -56127 |
| -56872 50558 -83538 -95946 19940 0 0 0 0 0 |
| 27477 56214 0 0 0 0 -49287 0 0 0 |
10 10
o1 : Matrix ZZ <--- ZZ
|
i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| -1156 0 0 -12269 25438 -5918 4762 45868 3606 -4762
| 0 -38608 15529 38733 -10863 -20070 -34067 24860 -34067 68134
| 3898 61987 94899 47250 2393 8604 -37618 -38827 46144 -8526
| 0 -31611 0 0 0 -57978 26367 3281 -61259 -26367
| 33887 0 0 11778 23556 -30451 3825 -7291 37712 8312
| -7270 0 0 -9806 -20682 -6869 -401 17419 -3606 87539
| -59747 0 -18099 14600 -27048 -23618 -18030 10552 7478 18030
| 17019 0 0 0 -37223 -13051 53637 22287 1885 -30070
| -7532 50558 0 0 -19940 21236 -61748 53584 -12408 -21790
| 0 56214 0 49287 49287 28737 27477 -20550 0 -27477
------------------------------------------------------------------------
|, | 0 0 0 0 0 -1 1 -1 0 -1 |)
| | 0 1 0 0 0 1 0 1 0 0 |
| | 1 0 0 0 0 4 -2 5 -1 3 |
| | -1 0 0 0 0 -3 2 -4 1 -2 |
| | -1 0 0 0 -1 -2 1 -1 0 -1 |
| | 0 0 1 0 -1 -1 0 0 0 0 |
| | 0 0 0 -1 -1 0 0 1 0 0 |
| | 1 0 0 1 2 2 -1 1 0 1 |
| | 0 0 0 1 2 -1 1 -4 1 -2 |
| | 0 0 0 0 0 1 -1 2 -1 1 |
o2 : Sequence
|