i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | 62893 85976 -84232 -13400 -2685 -83662 0 0 -37920 0
| -28030 0 0 0 0 67699 577 0 0 92407
| 0 0 0 0 0 0 0 33255 50092 0
| 0 0 78955 44564 -39504 46834 9752 -23804 0 72682
| 26114 -25365 43681 16843 -25204 49865 -50837 -63205 0 0
| 0 68359 -11154 0 98361 0 62275 0 -75858 5227
| 0 -36405 41577 0 -60255 0 -64436 0 0 -59902
| 0 19179 0 -37993 -55241 91927 -70231 5840 0 0
| 82077 0 0 0 -98261 -21462 71744 0 0 0
| 0 0 10663 0 -8827 55349 0 -97590 0 0
------------------------------------------------------------------------
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10 10
o1 : Matrix ZZ <--- ZZ
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i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| -13400 15144 -50549 22027 48056 -10433 18683 -27663 31027 -13711
| 0 0 6425 6425 0 -14961 -2307 22401 -23912 -47109
| 0 0 -16418 -16418 50092 -33255 15999 -17256 -419 17256
| 44564 34391 -22224 22340 0 -17528 -6403 -11488 -28627 -38578
| 16843 1473 -38284 -46806 -25365 -42649 526 32383 -11644 6014
| 0 57205 -28740 39619 -7499 -17081 38980 -35306 10240 -15972
| 0 5172 9501 -26904 -36405 23252 8893 26973 18394 -13820
| -37993 57172 21287 2473 19179 -37722 -24646 -27613 -3359 -13618
| 0 0 -12413 -12413 0 -39153 -17525 3937 52139 -25399
| 0 10663 28935 28935 0 8218 -25074 27830 3861 6193
------------------------------------------------------------------------
|, | 0 0 0 0 0 -1 -3 -3 -2 3 |)
| | 0 1 0 1 1 0 0 -1 0 0 |
| | 0 1 6 6 0 2 -17 -16 -11 14 |
| | 1 -1 -12 -11 0 -4 32 29 20 -26 |
| | 0 0 1 1 0 0 -4 -4 -3 4 |
| | 0 0 -4 -4 0 -2 11 10 7 -9 |
| | 0 0 0 0 0 0 1 1 1 -1 |
| | 0 0 -2 -2 0 -1 5 4 3 -4 |
| | 0 0 1 1 1 0 -3 -3 -2 3 |
| | 0 0 3 3 0 1 -9 -8 -6 7 |
o2 : Sequence
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