i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | 94323 96946 -64982 -89005 53702 0 0 73362 0 54969
| -99296 0 0 58671 0 0 701 -89802 0 0
| 14100 0 0 -31655 55686 0 0 -88912 88954 -40453
| 0 -21885 69528 0 0 94804 13608 12347 0 -1911
| 0 0 -49179 0 -70732 0 -75270 0 0 0
| 42937 96309 0 7230 0 -16410 -16272 0 -88864 -4575
| 0 -85941 -79313 0 42193 0 0 0 -27903 0
| -79441 -23097 -93761 0 0 -4682 0 0 0 0
| 24565 -6111 0 0 0 0 84905 0 24832 0
| 0 -54657 8020 0 -21394 0 -4670 97028 0 0
------------------------------------------------------------------------
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10 10
o1 : Matrix ZZ <--- ZZ
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i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| 54969 5318 -6362 27674 -2311 -27295 -28718 0 -36264 -10385
| 0 -40625 13085 -45586 -27540 -44885 18046 0 -18046 -13754
| -40453 -17555 -55769 16339 22815 -32162 -709 0 709 -7734
| -1911 0 -19560 -17649 -17649 -2130 -1911 94804 -23365 -16388
| 0 0 21553 21553 -49179 -53717 0 0 -49179 17015
| -4575 50167 -64812 -67467 -10070 9700 -36042 -16410 52452 -2105
| 0 0 -7662 -7662 34531 20241 -27903 0 -51410 -21952
| 0 -79441 13459 13459 -65982 13459 -79441 -4682 -9638 13459
| 0 24565 -43286 -43286 -18721 16787 49397 0 -49397 16787
| 0 0 -12957 -12957 -34351 -17627 0 0 8020 -93261
------------------------------------------------------------------------
|, | 0 1 -1 -1 0 -1 1 0 -1 -1 |)
| | 0 0 -1 -1 -1 -1 0 0 0 -1 |
| | 0 0 1 1 1 1 0 0 1 1 |
| | 0 1 -3 -4 -2 -4 2 0 -2 -5 |
| | 0 0 -1 -1 0 -1 0 0 0 -2 |
| | 0 0 -1 -1 -1 -1 0 1 -1 -1 |
| | 0 0 0 0 0 1 0 0 0 1 |
| | 0 0 -1 -1 -1 -1 0 0 0 -2 |
| | 0 0 -1 -1 -1 -2 1 0 -1 -2 |
| | 1 0 2 1 1 0 1 0 -1 1 |
o2 : Sequence
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