i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | -3829 -93610 15395 0 -27137 0 -94395 0 649 91894
| 73073 0 0 77035 0 0 50537 0 -59324 0
| 0 377 0 0 0 63303 0 0 0 -43978
| 0 -76363 0 0 0 -75694 72483 0 -75796 0
| 0 0 0 5711 98017 0 34241 -73284 10852 0
| 0 91874 0 0 -47622 0 -99311 0 -96323 7309
| 3174 -75718 -94163 -19497 0 -40114 30389 0 28325 0
| -74016 19605 98094 -28954 -34188 -87664 0 0 0 0
| 0 -99750 59855 0 4750 35333 46170 45308 -76746 52182
| 0 0 0 81009 0 -16640 12897 -83857 0 0
------------------------------------------------------------------------
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10 10
o1 : Matrix ZZ <--- ZZ
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i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| -48167 24859 -14429 29909 33738 -2693 49080 3611 2698 -12687
| 20077 -16115 -37210 15786 19748 45401 18903 -9036 29019 -29348
| -24276 24276 -34178 -9902 -9902 9902 29227 19804 14853 43499
| -7091 7091 -31008 -23917 -23917 23917 20706 -24649 -38264 21438
| 7594 22850 22240 14646 20357 16772 -4164 34484 -36519 -24002
| 3114 -50736 10680 7566 7566 40056 43298 36557 -9855 6998
| -12886 -9785 -38850 -22790 -45461 -186 9586 18365 2168 -34743
| -15791 26665 -2565 -60790 -15728 -16130 -6464 13376 6677 -6614
| 32171 17887 21792 -10379 -10379 -25132 8437 -20662 -15962 -33462
| 14850 -17698 -2568 -17418 63591 -57895 25067 21939 -20826 -14290
------------------------------------------------------------------------
|, | 1 -2 12 12 11 -8 -8 -23 -16 26 |)
| | 1 -1 3 2 2 -2 -2 -4 -3 4 |
| | 0 0 3 3 3 -2 -2 -6 -4 7 |
| | -2 3 -17 -15 -14 12 11 30 22 -34 |
| | -2 3 -14 -12 -12 11 9 25 18 -28 |
| | 1 -1 5 4 4 -4 -3 -8 -6 9 |
| | 2 -2 9 7 7 -7 -6 -15 -11 16 |
| | -2 3 -16 -14 -14 12 10 28 21 -32 |
| | 0 0 1 1 1 -1 -1 -2 -1 2 |
| | 2 -2 8 6 6 -6 -5 -12 -9 12 |
o2 : Sequence
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