i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | 0 0 64152 -18485 7873 0 30481 0 39100 0 |
| 0 0 0 0 0 -36171 0 0 14494 0 |
| 76132 0 0 0 0 85671 0 0 0 0 |
| 0 -1534 0 0 0 0 -91160 -50614 0 0 |
| 42989 0 0 0 0 0 0 0 87910 -54327 |
| 0 51166 71801 0 -90603 0 42323 73681 1812 0 |
| 0 72364 0 0 -23346 -92367 -40150 0 16033 0 |
| -27981 98933 0 8153 -6831 0 63740 -29398 0 0 |
| 0 0 -41058 86883 6453 -66810 0 0 0 0 |
| -67712 10693 0 18968 0 0 -41182 0 0 0 |
10 10
o1 : Matrix ZZ <--- ZZ
|
i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| 39100 -39100 32925 14440 7873 25052 1698 -33317 -6232 -26750
| 14494 -14494 -14494 -14494 0 -14494 -28988 21805 79781 7311
| 0 0 0 0 0 0 0 9539 9539 85671
| 0 0 0 0 -50614 0 -52148 0 13136 0
| 33583 20744 20744 20744 0 20744 -12839 -17311 8367 -7905
| 1812 -1812 -20614 -20614 -16922 69989 11818 -26949 -8262 43040
| 16033 -16033 -39379 -39379 -23346 -16033 -6394 18457 -8905 2424
| 0 0 -6831 1322 -36229 0 55873 33490 -14516 13662
| 0 0 -34605 52278 6453 -41058 -28152 -43425 12879 2400
| 0 0 0 18968 0 0 10693 48744 -13824 0
------------------------------------------------------------------------
|, | 0 0 0 0 0 0 0 -1 -1 0 |)
| | 0 0 0 0 0 0 1 0 -2 0 |
| | 0 0 1 1 0 1 1 -3 -5 -2 |
| | 0 0 0 1 0 0 0 -1 -1 0 |
| | 0 0 1 1 1 0 2 -2 -6 -2 |
| | 0 0 0 0 0 0 0 1 1 1 |
| | 0 0 0 0 0 0 0 0 1 0 |
| | 0 0 0 0 1 0 1 0 -2 0 |
| | 1 -1 -1 -1 0 -1 -2 4 8 3 |
| | 1 -2 -2 -2 0 -2 -3 6 12 5 |
o2 : Sequence
|