i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | 0 82127 37127 0 78233 53606 0 -32674 0 -42446 |
| 19183 94560 0 -15505 0 0 0 0 97442 -50409 |
| 56302 0 -30156 0 35189 0 36565 0 0 55786 |
| 0 0 0 65582 30881 26543 -13274 0 23400 0 |
| -66965 0 -92879 0 0 0 -52114 95511 91745 0 |
| 0 0 -21833 0 -19816 0 0 -33050 0 -20667 |
| 0 74968 -66624 0 0 -36039 0 0 17977 0 |
| 0 68790 41272 75084 -89530 0 0 0 -10898 0 |
| 0 0 0 0 0 0 0 0 0 84253 |
| 87266 86320 0 0 0 51473 0 0 0 -54338 |
10 10
o1 : Matrix ZZ <--- ZZ
|
i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| 0 53606 -53606 -32674 8148 8148 -4453 53606 -9772 49453
| 0 0 19183 0 19183 3678 0 78259 -31226 -22065
| 36565 0 19737 36565 -48360 -11795 30156 53393 2393 -19737
| -13274 26543 -13269 -13274 17617 69925 0 10121 39822 -36674
| -52114 0 -14851 43397 -3502 -55616 -2632 2368 -6134 18617
| 0 0 0 -33050 -41649 -41649 54883 0 12383 -33050
| 0 -36039 36039 0 5454 5454 66624 -18062 0 56991
| 0 0 0 0 -48258 26826 -41272 -10898 0 79688
| 0 0 0 0 0 0 0 0 84253 0
| 0 51473 35793 0 -15680 -15680 0 -35793 32928 -946
------------------------------------------------------------------------
|, | 0 0 1 0 1 1 0 -1 1 -1 |)
| | 0 0 0 0 0 0 0 0 0 1 |
| | 0 0 0 0 1 1 -1 0 0 0 |
| | 0 0 0 0 0 1 0 0 0 0 |
| | 0 0 0 0 1 1 0 0 0 0 |
| | 0 1 -1 0 -2 -2 0 1 0 0 |
| | 1 0 -1 1 -3 -2 0 3 -3 1 |
| | 0 0 0 1 0 0 -1 0 -1 1 |
| | 0 0 0 0 0 0 0 1 0 -1 |
| | 0 0 0 0 0 0 0 0 1 0 |
o2 : Sequence
|