i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | 0 0 0 0 0 0 14735 78124 0 -38596 |
| 0 96816 69029 0 93860 6587 0 0 0 0 |
| 11122 12527 -12007 0 0 -44256 95039 -39007 0 0 |
| -84941 0 -58616 0 0 -42037 0 99550 13719 -3039 |
| 0 0 22509 -89517 -23477 0 0 -66226 0 -46511 |
| 0 -22738 0 0 -41064 0 18410 0 0 0 |
| 0 -75184 0 0 97487 0 0 88000 0 0 |
| 71091 0 -37481 0 0 -35410 26754 0 8266 0 |
| 20380 0 0 -4483 12302 0 0 -98618 0 0 |
| -68765 0 59515 -88645 0 0 59826 0 -44261 0 |
10 10
o1 : Matrix ZZ <--- ZZ
|
i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| 0 0 14735 14735 -9126 -9126 -38596 -35572 5609 -14735
| 0 6587 9937 6587 16524 -45918 0 16434 -4957 -13174
| 0 -44256 -33437 50783 17346 -14903 0 6363 16158 4595
| 13719 -42037 -6019 -28318 3781 -7078 -3039 -8636 -18817 -42024
| 0 0 -1487 0 41519 19010 -46511 9283 -3499 0
| 0 0 -45392 18410 -26982 -26982 0 -25800 -31310 -18410
| 0 0 22303 0 22303 22303 0 -17762 -52881 0
| 8266 -35410 -10709 -390 13699 -762 0 -20166 919 90359
| 0 0 16785 0 21268 21268 0 -42633 21268 20380
| -44261 0 14187 15565 -14386 14621 0 -27159 -29329 4192
------------------------------------------------------------------------
|, | 0 0 0 0 0 0 0 0 0 1 |)
| | 0 0 1 0 1 1 0 4 2 0 |
| | 0 0 -3 0 -3 -4 0 -10 -5 0 |
| | 0 0 -1 0 -2 -2 0 -7 -2 0 |
| | 0 0 1 0 1 1 0 2 1 0 |
| | 0 1 4 1 5 6 0 20 8 -2 |
| | 0 0 1 1 2 2 0 8 3 -1 |
| | 0 0 0 0 0 0 0 1 0 0 |
| | 1 0 -1 1 3 1 0 12 2 -3 |
| | 0 0 0 0 1 1 1 6 1 0 |
o2 : Sequence
|