i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | 60055 -98738 -58609 -76012 -19949 18649 -5533 0 0 -53997
| 0 7577 2317 0 0 -65326 0 53285 -20733 0
| 0 0 0 42630 -35628 0 99102 0 -58594 0
| 0 -25582 0 0 -94596 -45074 -68246 2207 43084 27925
| -36807 -21383 0 0 -3840 96043 0 13039 0 51999
| 92820 -86761 -47256 0 0 92662 -50448 0 0 91588
| 59846 -44622 0 -35925 -42027 0 15670 -46430 0 0
| 0 0 -47447 -76702 0 0 526 6509 -45817 72814
| 0 -87106 -57334 -31858 0 0 -7688 0 0 -82809
| 0 0 0 83710 0 -88050 -1645 -51391 -66891 0
------------------------------------------------------------------------
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10 10
o1 : Matrix ZZ <--- ZZ
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i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| -19316 610 40129 -58609 0 -58835 20180 -57532 -3846 -79072
| 31756 37016 -5260 2317 53285 14 -5260 -17790 -3824 8720
| 4880 4880 0 0 0 -48834 -35628 -15964 29424 -3446
| 4405 -21177 25582 0 2207 -1477 -69014 17502 -28837 5691
| 31689 -26501 21383 0 13039 -29234 17543 -21383 -47884 54454
| -18076 35239 39505 -47256 0 -22342 39505 7751 39798 47978
| 3041 18265 44622 0 -46430 23114 2595 -80547 -46612 41825
| -19924 27523 -47447 -47447 6509 2720 -47447 -27625 2054 57766
| 26381 -3391 29772 -57334 0 -6782 29772 -4296 41959 -13564
| 19514 19514 0 0 -51391 23528 0 16819 -32203 -25494
------------------------------------------------------------------------
|, | -1 0 0 0 0 -1 0 0 0 -2 |)
| | -2 -1 -1 0 0 -2 -1 1 0 -4 |
| | 1 0 1 1 0 0 1 -2 -3 0 |
| | 0 0 0 0 0 0 0 1 1 0 |
| | 1 1 0 0 0 2 1 0 1 3 |
| | -1 -1 0 0 0 -2 0 0 -1 -3 |
| | 1 1 0 0 0 2 0 0 2 4 |
| | 0 0 0 0 1 -1 0 0 0 -1 |
| | 1 1 0 0 0 3 0 1 3 5 |
| | 1 1 0 0 0 2 0 0 1 4 |
o2 : Sequence
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