i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | 0 0 -30910 -19080 -13091 0 0 -52433 0 0 |
| 0 0 37701 -29974 54312 -86088 -51314 8881 0 0 |
| 0 -19628 -30051 47341 -66028 40413 -14538 0 0 -6884 |
| 0 0 0 0 0 0 99704 0 0 0 |
| -32414 0 15661 0 0 0 0 -75063 0 0 |
| 62824 50912 51912 -26343 0 -72707 0 0 -18873 0 |
| -60121 79769 0 0 0 0 0 0 0 93850 |
| 34989 -2663 0 -92490 16221 0 0 0 -26098 0 |
| -40116 8003 -22755 -76308 0 49863 -66780 94616 76351 0 |
| 0 -56630 -491 -10151 43978 20575 -23394 -89297 0 0 |
10 10
o1 : Matrix ZZ <--- ZZ
|
i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| -30910 -30910 -17819 0 13091 0 0 -1261 0 -52433
| 37701 -48387 -16611 0 31776 0 0 -13363 -51314 8881
| -30051 10362 48721 12744 38359 12744 -6884 -8264 -14538 12744
| 0 0 0 0 0 0 0 0 99704 0
| 15661 15661 15661 0 0 -32414 -32414 -48075 0 -75063
| 51912 -20795 1000 -50912 2922 -6961 43951 16608 -18873 -32039
| 0 0 14081 14081 14081 -46040 33729 19648 0 14081
| 0 0 -13558 2663 -39656 11554 8891 -70041 -26098 28761
| -22755 27108 -30758 -8003 18485 28232 36235 -9315 9571 10262
| -491 20084 12161 56630 -7923 56630 0 -22312 -23394 -32667
------------------------------------------------------------------------
|, | 0 0 0 0 0 1 1 1 0 0 |)
| | 0 0 -1 -1 -1 -1 0 1 0 -1 |
| | 1 1 1 0 0 0 0 -1 0 0 |
| | 0 0 0 0 0 0 0 1 0 0 |
| | 0 0 -1 0 -1 0 0 1 0 0 |
| | 0 1 0 0 -1 0 0 0 0 0 |
| | 0 0 0 0 0 0 0 0 1 0 |
| | 0 0 0 0 0 0 0 0 0 1 |
| | 0 0 0 0 1 1 1 1 1 -1 |
| | 0 0 1 1 1 1 1 0 0 1 |
o2 : Sequence
|