i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | 0 0 0 0 -24751 0 0 0 0 63966 |
| 14733 64651 -8524 0 -71976 97879 -19610 -33282 -15616 0 |
| 2986 0 -5432 0 0 36029 -22098 0 0 0 |
| 0 -48039 0 0 0 87866 -55253 -42175 0 0 |
| 255 -73933 0 -42299 18192 0 0 0 -52132 0 |
| 0 0 -26964 0 0 -24452 0 0 24990 -25787 |
| 4537 0 0 0 0 83157 0 0 0 17585 |
| 0 35187 -85443 0 0 0 0 0 -51555 0 |
| 0 0 0 0 0 0 -26019 0 -69181 -44344 |
| 0 0 0 0 0 6594 -77393 0 0 -77017 |
10 10
o1 : Matrix ZZ <--- ZZ
|
i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| 0 0 -24751 14464 24751 0 0 -24751 -14464 0
| 14733 0 -13044 2590 3509 -3816 -2338 5038 2713 -1061
| 2986 0 11944 24887 5972 5972 -14193 5775 -30662 -25084
| 0 0 0 9562 5864 -42175 -8212 2348 -17774 -13078
| 255 -42299 19212 -2600 13952 510 17505 11097 10527 -255
| 0 0 0 -1335 0 0 -51416 24452 1873 0
| 4537 0 18148 -6591 9074 9074 15102 -19639 26230 -4537
| 0 0 0 0 -35187 0 -15069 -35187 18819 0
| 0 0 0 -18325 0 0 0 0 -50856 -26019
| 0 0 0 -6218 0 0 6594 -6594 12812 -77393
------------------------------------------------------------------------
|, | 1 0 4 13 2 2 -15 14 -27 -1 |)
| | 0 0 0 0 -1 0 2 -1 2 0 |
| | 0 0 0 0 0 0 1 0 0 0 |
| | 0 1 0 1 1 0 -4 2 -6 0 |
| | 0 0 1 2 -1 0 0 1 -2 0 |
| | 0 0 0 -1 0 0 1 -1 2 0 |
| | 0 0 0 -1 0 0 0 0 1 1 |
| | 0 0 0 -1 1 1 0 -1 1 -1 |
| | 0 0 0 0 0 0 0 0 1 0 |
| | 0 0 0 1 0 0 0 0 -1 0 |
o2 : Sequence
|