i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | 53009 -85384 0 -53000 0 -24879 94613 0 28302 65613 |
| 0 0 0 0 51812 17086 45348 -7633 0 0 |
| 0 0 32794 23877 12713 0 -53467 0 72312 94550 |
| 0 0 0 0 0 -29172 39629 0 0 0 |
| -18148 0 0 0 0 7355 -2362 0 0 0 |
| 42571 65385 -97438 -46152 -59795 -19988 -81166 92570 0 36009 |
| 0 -78969 0 -94631 0 -43974 0 0 37165 0 |
| -37956 0 0 0 0 0 0 -87707 0 0 |
| 0 0 -33888 0 0 -4860 -34845 0 0 0 |
| 61547 93686 33646 95317 0 0 -78282 0 0 -18843 |
10 10
o1 : Matrix ZZ <--- ZZ
|
i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| 1284 32384 -1504 27447 1284 -2568 2359 27837 27740 -26456
| 41190 0 -34726 13482 -10622 21244 21244 5720 24848 8709
| -12338 -8917 28444 -4595 7743 17308 48463 5742 -10337 30793
| -10457 0 -29172 8258 -10457 20914 20914 -4398 -16516 6059
| -4993 0 7355 -17341 -4993 9986 9986 -44668 16534 -21527
| 2296 -14099 -10301 -13063 -35347 -26744 23364 1796 7724 -10296
| -10055 -15662 14694 23864 -10055 20110 -1393 -8345 -11765 1710
| 0 0 0 0 0 0 0 0 -37956 -49751
| 5817 33888 29028 -17394 -28071 22254 -11634 10734 -32988 4917
| -21075 -32015 -13172 -8504 12571 8504 21676 22987 30056 -17485
------------------------------------------------------------------------
|, | 0 0 0 0 0 0 0 0 1 -1 |)
| | 0 -1 -1 0 0 0 1 -1 1 -1 |
| | 1 -1 -1 3 2 -3 -2 7 -4 6 |
| | -1 1 1 -2 -1 2 1 -4 2 -3 |
| | 2 0 -1 3 1 -2 -2 8 -5 7 |
| | -1 0 1 -3 -1 2 2 -8 6 -7 |
| | -1 0 0 -2 -1 2 2 -6 4 -5 |
| | 0 0 0 0 0 0 0 0 0 1 |
| | -4 0 2 -8 -4 8 7 -22 14 -18 |
| | 2 0 -1 4 2 -4 -3 11 -7 9 |
o2 : Sequence
|