i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | 0 0 0 76588 -34323 -58190 0 0 -47336 27148 |
| 0 0 0 0 40270 0 99850 0 0 0 |
| 57764 -73605 -15139 0 -24508 0 70482 69808 0 0 |
| 0 0 0 61923 0 -13561 0 0 0 4936 |
| 0 0 -9885 21187 0 0 0 97362 0 -57924 |
| 0 0 -97989 -13098 0 -32101 0 -4819 0 -20012 |
| 5572 0 -74461 -34173 0 0 0 0 0 -72185 |
| -7716 -86814 0 50988 53226 0 0 0 0 -13996 |
| 0 97006 0 0 -57224 0 -44917 0 -28005 0 |
| 9170 0 4698 77048 -6730 0 0 0 0 0 |
10 10
o1 : Matrix ZZ <--- ZZ
|
i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| 10854 -15599 -15599 -5143 -47336 8297 18554 26297 -4448 -7870
| 0 -1650 -1650 17660 0 -20960 3300 -1650 16010 41920
| 0 -21120 36644 -1309 0 -13445 -385 21505 4754 -19229
| 13561 -946 -946 -14507 0 0 41629 21240 -24078 14507
| 0 -16967 -16967 -16967 0 0 7082 31072 15389 16967
| 32101 2363 2363 -29738 0 0 -4049 -11412 13682 29738
| 0 -2012 3560 -18728 0 -22288 -33445 1284 -24036 7584
| 0 6218 -1498 9728 0 -42000 32272 12498 9666 -47522
| -28005 2274 2274 -25201 -28005 -26261 -4548 -25731 5078 9503
| 0 27942 37112 13892 0 -16490 7296 41810 27966 -25502
------------------------------------------------------------------------
|, | 0 -8 -7 -11 0 -4 15 -7 -20 9 |)
| | 0 -2 -2 -3 0 -1 4 -2 -5 3 |
| | 0 -2 -2 -2 0 0 3 -1 -5 2 |
| | 0 1 1 1 0 0 -1 1 2 -1 |
| | 0 -5 -5 -7 0 -3 10 -5 -12 6 |
| | -1 5 5 6 0 0 -8 3 12 -6 |
| | 0 2 2 3 0 1 -4 2 5 -2 |
| | 0 0 0 0 0 0 0 0 1 0 |
| | 1 0 0 0 1 2 0 1 -1 1 |
| | 0 1 1 1 0 0 -1 0 3 -1 |
o2 : Sequence
|