i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | 60843 51276 -63047 0 0 -36161 54256 0 45092 0 |
| -83923 0 -59975 0 0 87563 0 -15734 32341 0 |
| 67497 -55031 -21632 -42340 0 -86628 0 -5193 0 0 |
| 0 0 15949 0 78457 0 0 0 0 -98130 |
| 89017 80343 85498 0 -3037 -42938 5583 0 0 10940 |
| -85463 0 -71311 -20622 0 0 -90274 0 0 16570 |
| 0 -26197 -16806 -84066 0 -14485 -94523 0 0 86472 |
| 0 30783 0 -16496 -6438 -34631 78441 0 48750 -69024 |
| 0 24893 0 2802 0 0 0 71758 0 0 |
| 0 -38626 -86463 35120 26004 0 0 0 -55191 -92700 |
10 10
o1 : Matrix ZZ <--- ZZ
|
i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| -15518 0 0 0 9164 9334 45092 -36331 9164 -71638
| -35981 0 -15734 0 -32341 52588 32341 -13100 -32341 5713
| 19131 0 -5193 -42340 0 30707 0 -37848 42340 46923
| -19673 78457 0 0 -19673 19673 0 -19673 0 -3489
| -32593 -3037 0 0 13486 -47750 0 10395 5583 16904
| 11759 0 0 -20622 -73704 -11759 0 -37271 -69652 27905
| 6434 0 0 -84066 -8051 19763 0 39361 -10457 -28353
| -11140 -6438 0 -16496 -45771 29107 48750 -1055 46187 33621
| 0 0 71758 2802 0 46865 0 19289 -2802 27576
| -11505 26004 0 35120 -11505 -5060 -55191 -9989 20071 -40842
------------------------------------------------------------------------
|, | -1 0 0 0 0 1 0 -1 0 2 |)
| | 0 0 0 0 0 -1 0 1 0 -2 |
| | 0 0 0 0 0 0 0 0 0 1 |
| | 0 0 0 1 0 0 0 -2 -1 2 |
| | 1 1 0 0 1 -1 0 1 0 -4 |
| | -1 0 0 0 0 1 0 0 0 1 |
| | 1 0 0 0 1 -1 0 2 1 -4 |
| | 0 0 1 0 0 1 0 0 0 1 |
| | -1 0 0 0 -1 2 1 -3 -1 5 |
| | 1 0 0 0 1 -1 0 1 0 -3 |
o2 : Sequence
|