i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | 0 0 0 0 0 0 75798 0 -80082 41755
| -63234 0 0 90772 0 73605 -62249 -18356 0 78182
| 49915 0 -91374 38794 -25200 83955 -66144 17357 0 -51232
| 0 0 77185 0 55845 0 0 0 0 50488
| -46113 0 72883 -55274 -26376 0 48786 -23382 0 0
| -66425 0 -39050 0 0 -47116 -85056 22062 -78369 0
| 79459 -86555 -51350 0 -80122 -33659 0 -34948 0 50321
| 0 0 -56340 51107 0 95016 -88100 -45487 70341 88866
| 0 -4140 -1837 -65732 6863 73081 0 38126 14170 0
| 0 -41308 0 51207 -14404 0 0 0 26510 29983
------------------------------------------------------------------------
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10 10
o1 : Matrix ZZ <--- ZZ
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i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| 0 0 0 41755 38327 3428 72370 3428 -7712 -30615
| 0 -18356 0 59826 32135 -35543 -8350 36873 -26706 4942
| -25200 17357 0 -8675 50073 -34033 -8494 -18856 34063 -41640
| 55845 0 0 -5357 61202 -10714 45219 -45219 -10626 26609
| -26376 -23382 0 2994 -5988 -63507 10040 -16528 13034 19724
| 0 22062 0 22062 -12871 -31492 -36576 -48480 -92883 -46837
| 6433 -34948 -86555 8940 -1218 9495 3114 -3114 -38267 33935
| 0 -45487 0 43379 26783 16596 -2869 -34124 21985 -10092
| 11003 38126 -4140 27123 4665 29321 -47744 -17988 -6451 73030
| 26904 0 -41308 3079 -2685 -8640 21140 30067 20746 -18061
------------------------------------------------------------------------
|, | 0 0 0 0 0 1 -1 1 -1 2 |)
| | -1 0 1 1 -2 3 -4 4 -3 5 |
| | 0 0 0 0 0 0 -1 1 -1 2 |
| | 0 0 0 0 0 0 0 1 0 0 |
| | 1 0 0 -1 2 -2 4 -4 3 -5 |
| | 0 0 0 0 1 -1 1 -1 1 -1 |
| | 0 0 0 0 0 0 1 0 1 -1 |
| | 0 1 0 1 -2 3 -4 4 -3 5 |
| | 0 0 0 0 -1 1 -1 1 0 1 |
| | 0 0 0 1 -1 2 -2 2 -2 3 |
o2 : Sequence
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