i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | 0 -96910 99876 0 0 0 83951 -94624 0 0
| 0 0 -75233 0 0 -60281 0 36561 65194 0
| 0 0 -81314 -98716 0 0 0 0 0 96740
| -12244 -54883 0 -34984 0 -17982 0 0 0 0
| -26729 0 -4526 0 -31046 0 -51317 0 30335 0
| 2539 -19135 -91774 0 0 0 48069 0 50529 83182
| 0 -91493 19382 0 0 72019 0 78024 51471 -77728
| 0 0 0 -57682 -69541 42826 0 -30108 0 79780
| 98313 0 -57029 69373 0 3349 0 0 0 0
| -36911 51201 -45152 -78176 0 5917 0 0 -51868 -82475
------------------------------------------------------------------------
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10 10
o1 : Matrix ZZ <--- ZZ
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i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| 0 0 0 10673 2966 -10673 83951 -2286 7707 -8387
| 0 0 -60281 -31648 -10039 -28633 0 -31648 -26522 3015
| 0 0 0 0 17402 -98716 0 0 -17402 -1976
| 0 -12244 -17982 -17982 -32143 -22740 0 -72865 32143 50125
| -31046 -26729 -31046 50606 -31966 -23877 -51317 -711 52237 -54212
| 0 2539 0 2460 -57841 -4999 48069 31394 9772 46789
| 0 0 72019 45466 -20640 26553 0 -46027 -57384 -5148
| -69541 0 -26715 3393 -11859 -18249 0 3393 -27574 -11403
| 0 98313 3349 3349 -28089 -28940 0 3349 28089 -32289
| 0 -36911 5917 -45951 -4554 10603 0 5250 4554 -77122
------------------------------------------------------------------------
|, | 0 1 0 0 1 -1 0 0 -1 -1 |)
| | 0 0 0 0 1 0 0 1 -1 -1 |
| | 0 0 0 0 1 0 0 0 -1 0 |
| | 0 0 0 0 -1 1 0 0 1 1 |
| | 1 0 1 1 1 -1 0 1 0 -1 |
| | 0 0 1 1 0 0 0 1 0 -1 |
| | 0 0 0 -1 0 1 1 0 -1 1 |
| | 0 0 0 -1 0 1 0 -1 -1 2 |
| | 0 0 0 1 1 -1 0 1 -1 -2 |
| | 0 0 0 0 0 0 0 0 0 1 |
o2 : Sequence
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