i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | 0 0 0 0 0 65733 97122 75624 54458 0 |
| 0 0 -65094 -44518 7057 0 89527 0 34557 65921 |
| 0 57235 -57685 97338 27036 77388 -40920 -426 32535 -93544 |
| 29641 -41248 0 0 97945 0 0 -97106 0 0 |
| 73767 0 0 0 0 0 -15072 -23211 59443 -8484 |
| 0 0 14928 26267 0 0 0 0 -19005 38815 |
| 0 50977 0 0 0 -5042 -74180 -73539 50386 -37631 |
| -59032 0 0 0 -92487 0 0 46850 -98701 0 |
| 33322 0 0 -84530 -61079 -9806 -12343 0 84827 0 |
| 0 0 0 0 0 0 -78646 0 -58135 0 |
10 10
o1 : Matrix ZZ <--- ZZ
|
i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| 0 0 65733 9891 -11275 32773 11794 23069 42664 -42664
| 0 -65094 0 7057 -9961 34394 14509 10951 -10124 -33567
| 57235 -57685 20153 6457 -4750 -36194 8831 64 -16670 20014
| -41248 0 41248 -40409 11607 44251 7765 11607 -23214 11607
| 0 0 0 -23211 -14324 22463 -22060 -7736 73019 -7736
| 0 14928 0 0 7262 7666 38411 19810 33933 46077
| 50977 0 -56019 -17520 4451 45885 -66587 30916 -22612 35958
| 0 0 0 -45637 -39669 -7181 13149 -39669 -19363 -39669
| 0 0 -9806 -51273 -23219 10876 7372 54042 -30526 -20682
| 0 0 0 0 -58135 -20511 -37624 20511 -20511 20511
------------------------------------------------------------------------
|, | 0 0 0 0 -1 1 -2 -1 2 -1 |)
| | 1 0 -1 1 -1 2 -4 -1 2 -1 |
| | 0 1 0 0 0 1 -1 0 1 0 |
| | 0 0 0 0 1 -1 2 0 0 1 |
| | 0 0 0 1 0 0 -1 0 0 0 |
| | 0 0 1 -1 -1 1 0 1 0 0 |
| | 0 0 0 0 0 1 -1 -1 1 -1 |
| | 0 0 0 1 0 -1 0 0 0 0 |
| | 0 0 0 0 1 -1 2 1 -1 1 |
| | 0 0 0 0 0 0 1 1 0 1 |
o2 : Sequence
|