i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | 0 0 -54577 38239 0 0 0 -97883 0 -89292 |
| 99020 -11664 0 63949 0 81708 11497 -29031 0 0 |
| 7927 0 0 97682 0 -7890 0 99296 0 0 |
| 28315 0 -68597 89605 0 0 0 0 0 92362 |
| 59223 0 0 0 59773 0 -97195 38501 0 0 |
| 0 49168 63660 0 0 -4485 -69338 90970 0 0 |
| 0 0 0 -95768 0 0 0 0 -46325 0 |
| 0 0 -3130 62900 0 87599 7238 0 0 75208 |
| 0 0 0 -77123 0 0 31429 0 -46610 45210 |
| 0 75675 0 0 -37623 -47130 60344 0 0 -59398 |
10 10
o1 : Matrix ZZ <--- ZZ
|
i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| 0 0 0 0 -26968 -54577 0 0 19221 19018
| 0 -11664 -167 0 -11272 11497 99020 -28976 22544 -57615
| 0 0 0 0 -6276 0 7927 -15817 12552 77203
| 0 0 0 0 47589 -68597 28315 -28315 65781 -4491
| 59773 59773 22351 0 -21272 22351 -550 550 -17229 17779
| 0 49168 -20170 0 -40835 -5678 0 44683 18010 -18010
| 0 0 0 -46325 3118 0 0 0 -52561 49443
| 0 0 7238 0 30959 4108 0 87599 16420 46480
| 0 0 31429 -46610 -16097 31429 0 0 30794 -14697
| -37623 38052 60773 0 -9507 -14902 37623 -9078 -2761 -34862
------------------------------------------------------------------------
|, | 0 0 0 0 0 0 1 -1 0 -1 |)
| | 0 1 1 0 0 0 0 1 0 0 |
| | 0 0 0 0 -2 1 0 0 3 -3 |
| | 0 0 0 0 -1 0 0 0 2 -1 |
| | 1 1 2 0 -1 2 -1 1 1 0 |
| | 0 0 0 0 1 0 0 1 -2 2 |
| | 0 0 1 0 0 1 0 0 0 0 |
| | 0 0 0 0 1 0 0 0 -2 2 |
| | 0 0 0 1 2 0 0 0 -3 1 |
| | 0 0 0 0 0 0 0 0 1 -1 |
o2 : Sequence
|