i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | 0 -20491 10702 55716 0 -23738 -58960 0 67105 19619 |
| 92315 0 0 -53530 0 -44620 0 0 -35635 -58102 |
| 0 0 0 0 0 0 71298 64957 81842 -71453 |
| 0 0 0 -47935 0 -84591 0 -53192 0 60339 |
| 0 0 0 0 0 -2572 36800 0 -89158 96457 |
| 0 0 -69510 0 1265 0 18066 -83316 0 -66789 |
| 0 0 0 -79230 0 0 0 24403 0 0 |
| 49140 0 0 3962 -61126 0 0 34759 0 0 |
| 0 -82508 44880 0 0 0 0 0 0 0 |
| 11396 0 39632 35719 0 -95764 0 0 4954 0 |
10 10
o1 : Matrix ZZ <--- ZZ
|
i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| 0 -20491 -9789 0 55716 -58960 13036 9789 -14680 -5763
| 0 0 0 92315 38785 0 -47695 0 12060 46273
| 0 0 0 0 0 71298 64957 64957 23226 16730
| 0 0 0 0 -47935 0 31399 -53192 21793 28940
| 0 0 0 0 0 36800 2572 0 -54930 41527
| 1265 0 -69510 1265 1265 18066 -13806 -12541 45678 -33652
| 0 0 0 0 -79230 0 24403 24403 -48806 -24403
| -61126 0 0 -11986 -8024 0 -14381 -26367 -20378 2395
| 0 -82508 -37628 0 0 0 -44880 37628 7252 -37628
| 0 0 39632 11396 47115 0 44736 -39632 -150 -28386
------------------------------------------------------------------------
|, | 0 0 0 1 1 0 -1 0 1 2 |)
| | 0 1 1 0 0 0 0 -1 1 1 |
| | 0 0 1 0 0 0 -1 -1 2 1 |
| | 0 0 0 0 1 0 0 0 0 0 |
| | 1 0 0 1 1 0 0 1 0 1 |
| | 0 0 0 0 0 0 -1 0 1 1 |
| | 0 0 0 0 0 1 0 0 1 1 |
| | 0 0 0 0 0 0 1 1 -2 -1 |
| | 0 0 0 0 0 0 0 0 1 1 |
| | 0 0 0 0 0 0 0 0 0 1 |
o2 : Sequence
|