i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | 0 0 0 -96531 98109 78565 18054 -36473 0 57221
| 0 -26071 0 -91444 19798 0 0 16545 -64546 24306
| 86301 99881 0 42514 0 -17739 0 -33767 0 53870
| 0 49021 0 -53223 0 0 -82400 0 0 17608
| 0 0 -88446 0 22466 -51916 1676 0 0 0
| 0 -12388 11460 -69785 0 0 0 92863 0 0
| 0 29820 21163 -61975 -34867 0 0 -29485 0 0
| 0 -82840 -74166 0 -39402 0 -32315 0 -14587 -53810
| -30516 66748 0 0 0 -25777 -8622 0 12095 0
| 0 -48487 0 0 0 65884 -98461 -41055 11266 -14208
------------------------------------------------------------------------
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10 10
o1 : Matrix ZZ <--- ZZ
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i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| 752 -752 -7899 -32989 -32666 -16656 -24232 30747 27226 14543
| -35832 -28714 10798 -6290 -19153 -15951 20459 -3747 -7779 -27359
| 4589 -4589 -36267 3836 -29298 11695 42175 -12584 -15258 -3114
| -5160 5160 33460 -15852 -21411 -29657 47265 -12367 24815 -19256
| 11582 -11582 -27688 5222 -43514 -17244 -5222 -1064 12646 -15826
| 13632 -13632 26178 -26178 -928 -13790 13790 -11302 24934 42679
| 295 -295 11024 23843 -18751 28890 5977 19386 -19091 32200
| 8081 -22668 5783 -20191 -5983 -20156 5748 10523 -56252 27457
| -7424 19519 -3662 34178 24137 -20475 20475 36111 -13019 9378
| -24857 36123 679 -14887 -2921 16450 -30658 -41320 2255 21874
------------------------------------------------------------------------
|, | -7 7 -11 10 1 10 -10 -4 -4 13 |)
| | -2 2 -3 3 1 2 -2 0 -2 4 |
| | -5 5 -7 7 1 7 -7 -3 -2 8 |
| | 2 -2 3 -3 0 -3 3 1 1 -4 |
| | -10 10 -15 14 2 13 -14 -5 -5 17 |
| | 4 -4 6 -6 0 -6 6 3 1 -6 |
| | 1 -1 1 -1 0 -1 1 1 0 -1 |
| | 2 -2 3 -3 0 -3 3 1 1 -3 |
| | 2 -1 2 -2 -1 -1 1 0 2 -2 |
| | 16 -16 24 -23 -4 -21 22 7 10 -29 |
o2 : Sequence
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