i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | 0 62731 0 0 0 -31300 64662 0 0 0 |
| 34167 -7832 0 24379 79524 59321 0 89589 150 0 |
| 97460 -68002 0 -29022 0 20444 86790 -66703 52207 0 |
| 0 -63126 0 1868 40184 12432 0 0 0 -81550 |
| 0 -7132 69540 0 0 0 -21098 0 0 0 |
| 0 96744 82248 0 55110 17174 -10035 0 0 0 |
| -88132 0 -17750 0 69213 52011 0 66323 0 -48528 |
| 0 13492 -92552 -65461 7261 40276 0 0 0 0 |
| 0 0 88332 0 -43753 11406 91405 32509 0 0 |
| -413 99850 -14639 0 0 -37323 0 11159 0 41557 |
10 10
o1 : Matrix ZZ <--- ZZ
|
i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| 0 0 31300 -31300 33231 33231 0 64662 1931 1800
| 150 24529 6039 4176 -7009 -16497 33867 -10515 42824 27840
| 52207 23185 -5918 -8578 21245 -823 -6954 -3128 19621 14891
| 0 1868 -14300 -25884 47644 -32038 0 40184 -19606 -28314
| 0 0 0 0 -13966 -13966 0 -21098 -13966 62706
| 0 0 -17174 -37936 -13733 -13733 0 45075 3441 9707
| 0 0 14312 -17202 -28436 11168 -88132 2890 63179 28415
| 0 -65461 25185 -32446 26215 -39246 0 7261 1030 18078
| 0 0 21103 55159 -40016 -40016 0 15143 -28610 25666
| 0 0 48482 -37323 -32129 9841 -413 -11159 -27482 -14609
------------------------------------------------------------------------
|, | 0 0 0 0 0 -1 1 0 -1 -1 |)
| | 0 0 0 0 -1 -1 0 0 -1 -2 |
| | 0 0 0 0 0 0 0 0 0 1 |
| | 0 1 -1 1 -1 0 0 0 0 -3 |
| | 0 0 0 -1 2 2 0 1 2 3 |
| | 0 0 -1 1 -1 -1 0 0 0 -2 |
| | 0 0 0 0 1 1 0 1 1 1 |
| | 0 0 1 0 -1 -1 0 -1 -1 0 |
| | 1 1 1 0 -4 -2 -2 -3 -2 -3 |
| | 0 0 0 0 1 2 0 0 2 3 |
o2 : Sequence
|