i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | 0 -93318 0 85304 0 0 0 0 0 68749 |
| 94726 -77647 0 -44549 -64392 0 -42988 0 11680 0 |
| 0 0 73140 0 -38985 39975 0 0 44084 -3710 |
| 0 0 0 -7855 0 27195 -78210 0 11248 0 |
| -57880 0 0 0 0 0 0 0 72626 91000 |
| -7001 58738 42783 0 0 0 75369 80081 85475 41046 |
| 40652 0 0 0 0 -82987 0 0 0 -57017 |
| 0 0 0 -47531 0 0 -54500 92038 0 5892 |
| -98330 0 0 26032 -41700 0 -48067 0 -41644 0 |
| 47206 0 -65250 11297 -85066 -63905 0 10070 0 99965 |
10 10
o1 : Matrix ZZ <--- ZZ
|
i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| 0 0 -16555 16555 33110 68749 -27625 -76763 -41124 0
| 0 0 -31523 -32869 -1346 -11680 59208 -46124 -26124 11680
| 73140 -33165 -53614 -25346 -44872 25346 8742 -19526 44872 -29056
| 0 27195 -30588 3393 33981 -11248 2069 30588 -41836 11248
| 0 0 18374 -18374 -36748 18374 2758 -18374 -21132 72626
| 42783 -42783 -1646 1646 40590 -1646 65868 17601 11147 42692
| 0 -82987 25970 57017 31047 -57017 -35575 -25970 9605 0
| 0 0 53423 -53423 -14808 5892 -27669 -53423 -32723 0
| 0 0 -26088 -15612 10476 41644 34763 26088 -82774 -41644
| -65250 1345 2257 -23418 49645 34715 -22412 62993 8858 65250
------------------------------------------------------------------------
|, | 0 0 0 0 0 0 -1 0 1 0 |)
| | 0 0 0 0 0 0 -1 1 1 0 |
| | 1 -1 1 -1 -3 1 -4 -2 3 -1 |
| | 0 0 -1 1 2 0 1 1 -1 0 |
| | 0 0 1 0 -1 0 -2 -1 1 0 |
| | 0 1 -1 0 1 0 2 1 -1 0 |
| | 0 0 0 0 0 0 1 0 0 0 |
| | 0 0 0 0 1 0 1 0 -1 0 |
| | 0 0 -1 1 2 -1 3 1 -2 1 |
| | 0 0 1 -1 -2 1 -3 -1 2 0 |
o2 : Sequence
|