i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | 0 -24972 62567 -35890 0 0 -41145 0 0 -43832 |
| 0 -71951 -8910 0 0 87882 913 35690 0 66215 |
| 0 32697 0 0 0 0 -99392 0 -23546 0 |
| 71693 0 0 0 56314 -18398 0 0 -18614 0 |
| 0 0 -41722 0 42093 0 0 0 46091 83753 |
| -33586 0 0 -41516 0 0 39185 -55108 0 0 |
| 0 0 0 0 0 0 0 0 0 47772 |
| 38182 0 26632 -17853 56515 74377 -96509 -3742 0 -53753 |
| -57821 0 80659 0 0 0 76698 0 -49661 60787 |
| 0 -35816 82232 0 -4958 17333 0 86157 0 -80455 |
10 10
o1 : Matrix ZZ <--- ZZ
|
i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| -35890 -9213 -15759 -26677 -14628 0 16333 10918 -19309 0
| 0 -44600 -27351 44600 -18132 0 -10537 -36261 -19417 0
| 0 -23546 56243 23546 7850 0 1301 32697 -33998 23546
| 0 -18614 18614 3235 -9273 56314 -12360 0 -3019 18614
| 0 4369 -4369 37724 -38157 42093 433 0 -42093 -46091
| -41516 -27924 27924 19994 7867 0 -27861 -13592 33523 0
| 0 0 0 0 47772 0 -47772 0 0 0
| -17853 -5332 5332 5812 19942 56515 48623 14111 -8501 0
| 0 30998 -30998 26823 -4980 0 -21843 0 18877 49661
| 0 -3925 -31891 -1033 -5790 -4958 -11660 50341 36816 0
------------------------------------------------------------------------
|, | 0 0 0 -1 3 0 -2 0 1 0 |)
| | 0 0 1 0 4 0 -3 1 2 0 |
| | 0 1 -1 -1 1 0 0 0 0 0 |
| | 1 2 -2 -1 -3 0 4 -1 -2 0 |
| | 0 0 0 1 -3 1 2 0 -1 0 |
| | 0 0 0 0 2 0 -1 0 1 0 |
| | 0 0 0 0 1 0 -1 0 1 0 |
| | 0 -1 1 1 1 0 -2 1 1 0 |
| | 0 1 -1 -1 1 0 0 0 0 -1 |
| | 0 0 0 0 1 0 -1 0 0 0 |
o2 : Sequence
|