i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | -37447 0 0 -51473 0 0 0 0 0 -27535
| 0 -53246 0 65881 0 0 -14722 -12497 54434 46710
| 22977 0 -16116 0 4319 20857 0 7342 -14242 0
| 0 -12204 64767 91601 35743 0 0 -49416 0 79428
| 40143 39290 -27114 88398 0 44696 0 -41834 0 -95201
| -87550 0 32072 106 -34584 0 92882 -14207 0 18219
| -69875 -28131 0 -1574 0 97078 -41972 0 0 0
| 0 0 0 94829 0 -19812 0 0 0 0
| -84870 0 0 -24373 33290 18589 57957 0 -72191 0
| 0 -23412 -41665 0 0 0 31080 0 0 29869
------------------------------------------------------------------------
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10 10
o1 : Matrix ZZ <--- ZZ
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i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| 9912 0 0 9912 9912 -17623 0 -39360 -29448 11825
| 11746 0 15906 -16657 -41500 -32130 15906 -21748 -27096 -12003
| -11012 4319 15695 -19365 -11012 4683 -421 -6327 -23111 25024
| 9985 35743 -39550 119 -2219 25455 25217 -13441 12555 29571
| 9958 0 318 -32194 49248 -6345 -26796 25715 -3935 -12678
| -171 -34584 -4700 -9678 -171 13348 27372 -29680 9433 -28264
| 12457 0 26975 -14518 -15674 -16830 26975 -9164 4449 23005
| -19812 0 -19812 0 -19812 -39624 -19812 -4231 -4231 4231
| 5812 33290 -1256 7068 5812 4556 -1256 -2381 43588 -16675
| 8966 0 7668 1298 -14446 -321 -33997 3165 27875 13877
------------------------------------------------------------------------
|, | -1 0 0 -1 -1 -1 0 -4 -5 4 |)
| | 4 0 1 3 5 7 1 20 22 -19 |
| | -1 0 0 -1 -1 -1 1 -4 -5 3 |
| | 0 0 0 0 0 0 0 1 1 -1 |
| | 4 1 2 2 4 6 2 18 19 -19 |
| | 1 0 1 0 1 2 1 5 5 -5 |
| | 1 0 1 0 1 2 1 5 5 -6 |
| | 2 0 2 1 2 4 2 13 13 -14 |
| | 4 0 2 2 4 6 2 18 19 -19 |
| | 1 0 0 1 1 2 0 5 6 -4 |
o2 : Sequence
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