i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | 0 -60625 0 0 0 -45620 -51158 -17117 0 13007
| 81081 0 0 0 0 0 -1007 0 -62769 0
| 0 0 73470 35579 -67832 0 0 0 -80372 27631
| 25638 -42029 27407 0 0 20058 -18765 -67475 -7481 97383
| 88366 0 -63771 0 -99420 67519 0 0 0 0
| -19642 21257 0 -95658 0 -78389 -6329 -86326 18135 4863
| 986 -22956 0 0 63681 82424 0 68469 0 -26053
| 0 0 -39274 0 0 0 0 0 40576 -47651
| -37521 0 0 4149 50940 0 53395 0 0 53375
| 0 -6780 -62974 67478 69816 -36124 0 0 -41170 30193
------------------------------------------------------------------------
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10 10
o1 : Matrix ZZ <--- ZZ
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i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| 9467 -51158 -13577 -13577 13577 -37581 -13577 37970 -41510 4110
| -1007 -1007 1007 1007 61762 16298 1007 17305 -18312 18312
| 0 0 -7948 27631 52741 1046 -81418 -6902 52741 -66786
| 23264 -18765 6644 6644 837 20155 -20763 -18705 -28007 15656
| 0 0 0 0 0 24595 63771 -42924 -20847 -74825
| -27586 -6329 41781 -53877 35742 -49617 41781 -37030 4581 -15702
| 22956 0 19460 19460 -19460 -18474 19460 9987 39022 22251
| 0 0 -47651 -47651 7075 48953 -8377 1302 7075 48953
| 53395 53395 -4169 -20 20 20043 -4169 15874 -15854 -35807
| 6780 0 -44065 23413 17757 -60079 18909 -61240 -25147 2957
------------------------------------------------------------------------
|, | 0 0 0 0 0 1 0 1 -1 1 |)
| | -1 0 1 1 -1 -1 1 -1 0 0 |
| | 0 0 0 0 0 1 -1 1 0 1 |
| | 0 0 -1 0 0 1 -1 0 0 1 |
| | 0 0 0 0 0 0 0 0 0 1 |
| | 0 0 0 0 0 0 0 -1 1 0 |
| | 1 1 -1 -1 1 2 -1 1 0 0 |
| | 0 0 1 1 -1 -1 1 1 -1 -1 |
| | 0 0 0 0 -1 1 0 1 -1 1 |
| | 0 0 1 1 -1 -1 1 0 -1 -1 |
o2 : Sequence
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