i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | 0 0 0 -6616 0 -63453 86813 16928 0 0 |
| -54391 0 -58816 26273 -19484 -30551 0 56128 0 17579 |
| 0 -234 0 73130 0 98352 0 0 82199 0 |
| -84164 58218 0 0 42940 -76006 86149 0 0 0 |
| 0 78564 69776 30866 0 0 -94792 0 0 0 |
| 99752 0 0 0 -99063 72573 0 0 -93385 0 |
| -60633 -22724 0 0 -73030 0 -98276 7139 -66557 0 |
| 0 0 37636 0 -32704 -98415 42271 8716 0 0 |
| 0 56233 0 0 0 0 0 85865 20833 0 |
| -65671 -27388 0 -36922 67807 -49111 -10938 0 0 99185 |
10 10
o1 : Matrix ZZ <--- ZZ
|
i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| -10312 -10312 -3696 -10312 -6616 -3696 16928 24320 60912 -70845
| 13478 -4101 6689 -45338 26273 6689 -39751 -31125 -25288 -58661
| 8835 8835 17904 8835 73130 17670 234 -35574 -1283 51961
| 15278 15278 -27662 15278 0 30556 -15278 -44118 48473 -4226
| -22078 -22078 -52944 47698 30866 25620 -8788 27324 -59424 -36112
| 5678 5678 11356 5678 0 11356 -99063 -22023 -44213 -10145
| -23390 -23390 -16917 -23390 0 -39641 -43167 -69966 32527 20326
| -13648 -13648 19056 23988 0 19056 13648 -62100 -15200 -55371
| -8799 -8799 12034 -8799 0 68267 29632 5564 26397 3235
| 40912 -58273 10027 40912 -36922 -17361 -3990 9470 18993 5236
------------------------------------------------------------------------
|, | 0 0 0 0 0 0 0 1 -1 -1 |)
| | 1 1 1 1 0 2 -1 -3 -3 2 |
| | -1 -1 -1 0 0 -1 1 2 3 -1 |
| | -1 -1 -2 -1 1 -2 0 4 2 -4 |
| | -1 -1 -2 -1 0 -2 1 5 3 -3 |
| | 0 0 0 0 0 0 0 0 1 1 |
| | 0 0 0 0 0 0 0 0 1 0 |
| | -1 -1 -1 -1 0 -1 1 3 3 -2 |
| | 1 1 2 1 0 2 0 -4 -3 3 |
| | 1 0 1 1 0 1 -1 -2 -2 1 |
o2 : Sequence
|