i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | 0 93561 -44443 -47750 -21514 -68142 0 0 0 879 |
| 0 6131 0 0 0 99066 -49788 0 -9612 -86060 |
| 0 -98374 0 -99398 67673 0 -68457 69358 0 3764 |
| 0 -41161 0 -71281 0 -95466 89558 2822 0 0 |
| 0 0 53688 91704 0 -54824 29432 0 -63172 -51768 |
| 0 95160 -78713 -11469 0 -8308 0 0 7034 0 |
| 0 -44234 0 0 0 -70903 65423 0 9959 0 |
| 0 0 -23812 0 -72242 -18565 57908 0 0 0 |
| 0 0 66164 32238 91275 0 -22175 -58528 0 25043 |
| 0 26552 -43168 0 49350 17861 0 -85931 0 58261 |
10 10
o1 : Matrix ZZ <--- ZZ
|
i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| 0 0 29605 -44443 -67263 -879 -24821 20392 879 24821 |, |
| 0 -9612 -11427 -9612 -27170 76448 0 -68502 -76448 59400 | |
| 0 0 5689 0 4665 -73122 37633 -30941 3764 30824 | |
| 0 0 27034 0 -3086 -2822 -68459 -65373 0 -21099 | |
| 0 -63172 11168 -9484 -13988 -11404 38016 -9248 11404 -4276 | |
| 0 7034 5540 -71679 -15342 7034 67244 10907 -7034 -74278 | |
| 0 9959 -69632 9959 -15439 9959 0 25398 -9959 -75382 | |
| 0 0 15531 -23812 39343 0 -48430 -39343 0 -9478 | |
| 0 0 -21734 66164 -55660 33485 -1179 54413 25043 23354 | |
| 0 0 -26425 -43168 -9809 27670 6587 -17861 58261 -6587 | |
------------------------------------------------------------------------
1 0 0 0 0 0 0 0 0 0 |)
0 0 1 0 0 0 0 0 0 0 |
0 0 1 1 0 0 -1 0 0 1 |
0 0 -1 0 0 0 1 1 0 -1 |
0 0 0 0 0 0 1 0 0 -1 |
0 0 1 0 1 0 0 -1 0 0 |
0 0 1 0 1 0 0 -1 0 -1 |
0 0 1 0 1 -1 1 0 0 -1 |
0 1 -2 1 -1 1 0 2 -1 -1 |
0 0 1 0 1 -1 0 0 1 0 |
o2 : Sequence
|