i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | 0 0 0 -9147 0 -83308 -19675 38504 -82503 0
| 0 0 0 53183 -46937 0 0 62768 55790 0
| 0 0 17083 0 0 64719 -7503 -83852 17780 -2553
| 41525 0 -10585 0 7827 0 0 0 -49694 -83644
| 0 26999 -84433 56414 58880 0 0 0 0 0
| -39972 29647 75015 -59891 -18452 0 0 20174 0 0
| 50982 -61594 0 84778 -19246 76834 0 -4665 41818 94715
| 0 -25719 0 -19920 7107 -87178 69459 -81517 62896 -69962
| -80235 -18066 -37885 0 0 0 11013 0 387 0
| 0 80565 30379 0 -30062 2137 0 0 0 0
------------------------------------------------------------------------
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10 10
o1 : Matrix ZZ <--- ZZ
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i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| -9147 -19675 -9147 0 -53681 0 0 -40155 -21326 -1381
| 6246 0 6246 46937 2607 -46937 0 -55790 6978 -12492
| 17083 -7503 17083 0 8200 17083 0 31933 -59422 -44222
| -44283 0 -2758 -7827 -39109 -2758 0 49694 49694 -36603
| 30861 0 30861 -58880 28019 -25553 26999 0 0 -61722
| 36644 0 -3328 18452 -15124 56563 29647 0 20174 -33316
| 14550 0 65532 19246 -42960 -19246 -61594 35016 30351 14633
| -12813 69459 -12813 -7107 13357 7107 -25719 -11156 -23214 25123
| 42350 11013 -37885 0 27259 -37885 -18066 21639 32652 6548
| 317 0 317 30062 -30379 317 80565 2137 2137 -634
------------------------------------------------------------------------
|, | -1 0 0 0 0 0 0 0 0 1 |)
| | 0 0 0 0 0 0 1 0 0 0 |
| | 1 0 1 0 -1 1 0 0 0 -2 |
| | 1 0 1 0 -1 0 0 0 0 -2 |
| | 1 0 1 -1 0 1 0 0 0 -2 |
| | 0 0 0 0 0 0 0 1 1 0 |
| | 0 1 0 0 -1 0 0 2 3 1 |
| | 0 0 0 0 0 0 0 0 1 0 |
| | 0 0 0 0 1 0 0 -1 -1 0 |
| | 0 0 0 0 0 0 0 0 0 1 |
o2 : Sequence
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