i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | -26604 0 0 0 6885 0 0 -13837 0 0 |
| 10784 0 0 38479 -75944 39791 13725 90662 1014 0 |
| 0 22897 0 70529 0 0 0 -68128 0 0 |
| 0 0 82914 99039 0 -29914 0 -46923 -53298 -30883 |
| -41636 0 0 -30182 0 55297 0 4945 0 -38198 |
| 0 17504 0 0 -30391 41117 0 92222 -39635 -88382 |
| 90701 48072 75737 -36101 -80343 0 22381 0 36806 -57303 |
| 0 72480 -94098 20952 23492 0 0 0 -39744 94691 |
| 0 0 34592 0 -23236 0 -80663 0 0 0 |
| 0 0 79127 0 0 0 -57204 11698 45303 60095 |
10 10
o1 : Matrix ZZ <--- ZZ
|
i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| -19719 19719 -46323 0 46323 -19719 -39371 46323 -13837 19719
| -25369 25369 -14585 -39791 15599 14124 49265 29324 50871 39392
| 0 22897 -22897 0 22897 70529 22334 22897 -68128 -70529
| -29914 29914 -29914 29914 -23384 15827 -20404 -23384 -17009 6290
| 13661 -13661 -27975 -55297 27975 -16521 39476 27975 -50352 33620
| 10726 6778 -6778 -41117 -32857 -28909 -52626 -32857 51105 -18356
| 10358 37714 52987 0 -16181 11063 -8851 6200 0 29752
| 23492 48988 -48988 0 9244 4700 -10525 9244 0 -4107
| -23236 23236 -23236 0 23236 -23236 0 -57427 0 -22835
| 0 0 0 0 45303 45303 3094 -11901 11698 36715
------------------------------------------------------------------------
|, | 1 -1 2 0 -2 1 2 -2 0 -1 |)
| | 0 1 -1 0 1 0 -2 1 0 0 |
| | 0 0 0 0 0 0 0 0 0 1 |
| | 0 0 0 0 0 1 0 0 0 -1 |
| | 1 -1 1 0 -1 1 0 -1 0 -1 |
| | 1 -1 1 -1 -1 1 3 -1 -1 0 |
| | 0 0 0 0 0 0 0 1 0 1 |
| | 0 0 0 0 0 0 -1 0 1 0 |
| | 0 0 0 0 1 1 -1 1 0 -1 |
| | 0 0 0 0 0 0 1 0 0 1 |
o2 : Sequence
|