i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | -85259 0 11672 -75408 -91831 24077 -32439 -18985 0 0
| -997 0 99908 0 84294 -71649 -90766 -99610 -43682 0
| 0 -56260 0 74751 0 0 59018 -61255 0 -66632
| 0 -65717 0 17684 0 0 66850 -90838 0 -65644
| 0 72521 83604 -46619 0 52895 18046 50664 0 -35903
| 79701 0 91344 0 0 60366 0 66056 -99919 -33047
| 0 46489 48947 -22990 -4193 0 -82780 -39960 0 -77505
| 0 55234 -65513 12784 -33495 61629 0 -90693 3136 0
| 64435 -45485 0 -79740 79257 79496 -75085 -21021 -85572 -14782
| 0 34277 0 21081 19580 -27030 0 0 32197 30006
------------------------------------------------------------------------
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10 10
o1 : Matrix ZZ <--- ZZ
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i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| 16857 -85259 -6572 -57903 -85259 -648 -27378 43587 35749 -12281
| -39988 -997 85291 13642 -44679 -9948 -25866 -67752 -15423 54125
| 5361 0 0 74751 0 5361 23868 53486 -10372 -15749
| -49093 0 0 17684 0 -49093 -73227 40685 73 25267
| 16305 0 0 6276 0 -36590 28865 -13247 28075 25112
| -20809 79701 -79701 -19335 -20218 98445 48195 -37431 18744 70468
| -15257 0 -4193 -27183 0 -11064 7904 43280 -75047 -59452
| 21567 0 -33495 40918 3136 -9703 3071 11929 -55982 5829
| 13896 64435 14822 14578 -21137 5150 -9933 -41811 24627 -5093
| 27144 0 19580 13631 32197 2397 -19462 51194 896 43519
------------------------------------------------------------------------
|, | 0 1 -1 -1 1 1 -2 3 0 2 |)
| | -1 0 0 0 0 -1 1 -3 -1 -1 |
| | 1 0 0 0 0 1 -1 3 1 2 |
| | 1 0 0 1 0 1 1 1 0 0 |
| | 0 0 1 1 0 -1 1 -2 0 -1 |
| | 2 0 0 1 0 1 0 3 1 1 |
| | -1 0 0 0 0 -1 0 -2 0 0 |
| | 0 0 0 0 0 0 1 -1 0 -1 |
| | 2 0 0 0 1 1 -2 6 1 2 |
| | 1 0 0 0 0 1 -1 2 1 2 |
o2 : Sequence
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