i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | 71710 0 -93647 69591 -91598 0 -15705 0 27028 77802
| 0 0 0 17190 52727 -33224 0 -91689 0 0
| 0 60535 0 -58973 -42640 0 40462 0 -8309 0
| 0 0 0 -80262 -22274 0 -45264 0 -68340 0
| 0 -38578 -73795 -41605 0 67224 0 -88865 0 -54735
| -56857 0 0 0 -70418 -14592 0 54008 0 0
| 98591 0 0 0 0 0 0 -82193 0 -84550
| 0 74448 0 0 0 30030 55862 -45569 0 -59246
| 76431 -35301 0 -26402 0 -57869 0 19441 0 0
| 0 -26380 -15720 17117 0 0 0 72428 0 24258
------------------------------------------------------------------------
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10 10
o1 : Matrix ZZ <--- ZZ
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i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| -15705 27028 -15875 170 17145 -3931 -33769 38632 35310 -39170
| 0 0 17190 -17190 56152 -1133 22928 -17167 11499 16057
| -20073 -8309 -21966 62428 8910 51190 -39861 526 20239 526
| -45264 -68340 -34110 -11154 11240 -424 -11836 -12346 -1020 -12346
| 38578 0 -3027 3027 -4114 -6607 -10685 19012 -15488 6523
| 0 0 0 0 16410 19015 1818 4423 -48798 19015
| 0 0 0 0 -2357 6970 -2357 6970 16297 91520
| -18586 0 37276 18586 5013 -28565 -20819 1465 -43557 30681
| 35301 0 8899 -8899 24759 38804 -33110 -45467 -8854 12402
| 26380 0 43497 -43497 5987 4322 -9733 21439 9114 -2819
------------------------------------------------------------------------
|, | 0 0 0 0 0 1 0 1 2 1 |)
| | -1 0 -1 1 -2 -7 -2 -7 -11 -7 |
| | 0 0 0 0 1 6 2 6 10 6 |
| | 0 0 1 -1 1 2 1 3 4 3 |
| | 0 0 0 0 -1 -4 -1 -4 -6 -4 |
| | 0 0 0 0 0 3 1 4 6 3 |
| | 1 0 2 -1 3 9 2 9 14 9 |
| | 0 0 0 0 -1 -3 -1 -3 -5 -3 |
| | 0 1 -2 2 -3 -7 -2 -8 -12 -8 |
| | 0 0 0 0 1 4 1 4 7 3 |
o2 : Sequence
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