i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | -37573 53225 332 -1093 0 0 -65512 0 0 -69654 |
| 0 0 0 0 0 65504 0 -80849 46612 0 |
| 0 -32854 0 0 0 0 -6931 -89955 0 -4829 |
| 0 0 -63022 0 0 11219 0 87334 6353 23226 |
| 0 -69168 -19840 54140 0 0 0 0 0 -50659 |
| 19690 18569 97255 -89923 -3946 0 89479 -59738 -21376 -77582 |
| 0 0 80104 0 13222 -81715 0 -90348 -46233 -93094 |
| 78693 28789 0 88627 0 0 -82980 63314 0 0 |
| 0 70347 26583 21637 0 0 24571 65252 66362 0 |
| 0 0 6269 0 0 -37905 -36045 10586 0 0 |
10 10
o1 : Matrix ZZ <--- ZZ
|
i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| 0 -37573 0 13712 0 50524 -66605 24193 -39181 -72023
| 0 0 65504 -15345 -18892 -15345 0 -46612 31267 -15345
| 0 0 0 -50170 0 -50170 -6931 -39785 -17316 -22145
| 0 0 11219 35531 -4866 -27491 0 -6353 -21138 -67287
| 0 0 0 -4812 0 29488 54140 -15028 44516 28157
| -3946 19690 -23676 -8230 -9538 3088 -444 31649 53026 246
| 13222 0 -2383 595 -4184 1367 0 6567 21244 1599
| 0 78693 0 28878 0 38812 5647 -44257 89 10023
| 0 0 0 -24720 66362 23500 46208 50193 -2122 -20264
| 0 0 -37905 14995 37905 21264 -36045 -36045 21264 27533
------------------------------------------------------------------------
|, | 0 1 0 0 0 -1 0 -1 0 -1 |)
| | 0 0 0 -1 0 -1 0 1 -2 -2 |
| | 0 0 0 1 0 2 0 0 2 3 |
| | 0 0 0 -1 0 0 1 1 -1 0 |
| | 1 0 6 7 -3 1 0 -3 6 2 |
| | 0 0 1 1 -1 1 0 0 1 1 |
| | 0 0 0 -1 0 -1 1 1 -1 -1 |
| | 0 0 0 1 0 1 0 0 1 1 |
| | 0 0 0 0 1 0 0 -1 1 0 |
| | 0 0 0 0 0 0 0 0 0 1 |
o2 : Sequence
|