i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | -67970 0 44301 -68267 0 25894 0 0 0 66716
| 14401 0 0 30668 80177 -45447 0 0 0 -11650
| 50461 0 0 0 -57465 0 0 -18314 0 0
| 0 -72635 0 -11955 -95656 0 0 38968 -20917 49605
| 0 47613 -44675 95811 0 85633 65382 26593 -71961 0
| 0 0 0 0 -22109 0 -98420 6648 64446 0
| 0 0 0 0 -70181 48525 0 0 82541 0
| -25727 0 -1301 0 0 79523 56231 -68329 48101 0
| -61211 0 -70707 0 46050 -87944 -21154 0 -35813 0
| -43021 -21610 0 0 -20187 0 -69062 0 49592 34686
------------------------------------------------------------------------
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10 10
o1 : Matrix ZZ <--- ZZ
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i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| 0 44301 -23966 5856 0 22712 -66716 15059 -27445 -8907
| 0 0 30668 -12205 0 -27917 11650 -28027 64465 2641
| 0 0 0 -25318 18314 50461 0 -36453 0 175
| -72635 0 -11955 39857 -38968 -11075 23030 -4443 16733 -782
| 47613 -44675 51136 -37659 -26593 -3523 -47613 -674 3599 -43758
| 0 0 0 -15461 -6648 0 0 -54202 -33974 -33524
| 0 0 0 -21656 0 0 0 43312 34016 -39229
| 0 -1301 -1301 -11931 68329 -24426 0 -29537 24809 1488
| 0 -70707 -70707 38309 0 9496 0 34146 30977 20406
| -21610 0 0 -41598 0 -29945 -13076 9393 15216 50473
------------------------------------------------------------------------
|, | 0 0 0 1 0 1 0 -3 0 -3 |)
| | 1 0 0 -1 0 1 -1 1 0 0 |
| | 0 1 1 -2 0 -1 0 3 0 4 |
| | 0 0 1 -2 0 -1 0 2 1 3 |
| | 0 0 0 1 0 0 0 -2 0 -2 |
| | 0 0 0 1 0 0 0 -2 -1 -2 |
| | 0 0 0 0 0 0 0 1 1 0 |
| | 0 0 0 1 -1 0 0 0 0 -2 |
| | 0 0 0 0 0 0 0 0 1 -1 |
| | 0 0 0 0 0 1 -1 -2 1 -2 |
o2 : Sequence
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