i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | 0 0 -6757 82021 29504 -27770 80164 61876 67646 0 |
| 0 -64736 85095 -87061 88004 86455 71521 0 -40732 0 |
| 0 0 0 0 0 -83602 -72128 0 -63992 0 |
| 0 -66298 0 0 -67803 0 87899 0 -71375 51822 |
| 0 51582 -270 14200 0 -86960 27706 45338 0 0 |
| 0 0 0 0 -67012 97005 0 0 -66433 0 |
| 25045 66162 0 0 0 47856 97894 0 68520 0 |
| 70153 -29129 3245 37172 86189 0 75354 0 0 -75586 |
| 0 -5090 0 82495 -23739 72759 0 0 49840 0 |
| 0 7083 0 70234 0 55609 0 53688 32649 -81991 |
10 10
o1 : Matrix ZZ <--- ZZ
|
i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| -7048 -7048 291 -7339 -35263 13828 -24572 -27216 6039 42009
| 36635 36635 48460 -11825 -2734 -557 28094 2523 23054 -22497
| 8136 8136 -8136 16272 12620 19924 23262 -19924 -14030 -5894
| 26649 26649 -26649 1476 -384 -11140 14269 11140 52058 10904
| -3082 -3082 2812 -5894 29424 10100 5224 21308 18890 16348
| 579 579 -579 1158 -3975 6291 -24281 -6291 30071 -36362
| -20401 4644 -4644 -40802 -6759 41407 11666 -16362 14542 -5859
| -31468 38685 -35440 9405 30623 27023 -34877 2713 -5267 42964
| -3826 -3826 3826 -7652 13663 -34057 3244 -48438 30811 3246
| -19283 -19283 19283 43425 16240 -4298 32528 -12248 -2361 -21644
------------------------------------------------------------------------
|, | 3 4 -4 6 -61 75 68 -74 -38 -35 |)
| | -1 -1 1 -2 16 -19 -18 19 10 9 |
| | 1 1 0 1 -8 11 13 -12 -5 -6 |
| | -1 -1 1 -2 19 -23 -21 22 12 11 |
| | -1 -1 1 -2 16 -20 -20 20 10 10 |
| | 0 0 0 0 -2 2 1 -2 -1 -1 |
| | -1 -1 1 -2 19 -23 -21 23 12 11 |
| | 2 2 -2 4 -39 47 42 -46 -24 -22 |
| | 1 1 -1 2 -19 23 22 -23 -12 -11 |
| | 1 1 -1 1 -17 20 17 -20 -10 -9 |
o2 : Sequence
|