i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | -8031 0 0 0 88379 -94929 0 0 0 0
| 55574 20182 70070 0 0 -13982 -94602 0 -40555 -9613
| -74322 -33228 0 -40828 -68991 0 0 -67902 65046 74210
| 89120 -17794 59911 0 0 0 -28590 -89433 0 4549
| 55425 -90574 0 0 0 -54423 -61026 30061 25364 0
| 0 0 0 0 0 -27571 -55134 0 31782 74516
| 0 0 0 0 0 83366 95253 0 -38577 0
| -59640 -23833 0 0 0 -82072 70952 0 0 0
| 0 0 0 0 0 -34637 -36361 0 0 -14763
| 0 80627 -71921 0 0 0 0 -68183 80908 0
------------------------------------------------------------------------
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10 10
o1 : Matrix ZZ <-- ZZ
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i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| 0 -9512 88379 -9512 0 1481 1481 8031 1481 1481
| 0 11582 0 50710 -9613 28602 -24651 -9242 -21095 -913
| -40828 -8307 12665 -17471 -7446 17529 587 -58 12785 20385
| 0 -12939 0 42423 4549 -3369 -13214 20857 43947 26153
| 0 18370 0 43734 0 -3695 -13673 -40039 31454 -59120
| 0 15171 0 -27563 74516 -6741 -4219 34304 -38523 -38523
| 0 50464 0 11887 0 -32365 26690 20478 6212 6212
| 0 9911 0 9911 0 -22432 -69551 12521 1401 -22432
| 0 -16487 0 -1724 -14763 -19874 1724 21598 -19874 -19874
| 0 3457 0 12444 0 -41222 -21431 -43143 -62653 17974
------------------------------------------------------------------------
|, | 0 2 0 2 0 -1 -1 -1 -1 -1 |)
| | 0 1 0 1 0 0 -1 -1 -1 0 |
| | 0 -1 0 0 0 3 -1 -2 2 2 |
| | 1 -4 -2 -4 2 1 1 3 2 1 |
| | 0 -1 1 -1 0 1 1 0 1 1 |
| | 0 -1 0 -1 0 1 1 0 1 1 |
| | 0 1 0 1 0 0 -1 -1 0 0 |
| | 0 1 0 1 0 1 -1 -2 0 0 |
| | 0 -1 0 0 0 3 -1 -3 2 2 |
| | 0 1 0 0 1 -1 0 1 -1 -1 |
o2 : Sequence
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