i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | 0 27637 0 0 0 0 0 0 0 1103 |
| 0 0 0 70260 0 75477 45452 21651 0 96851 |
| 0 0 0 23354 0 86160 21952 0 0 6625 |
| -42193 3021 0 51560 -65457 0 0 0 -4944 0 |
| 0 0 0 0 10271 13806 0 15445 91647 14984 |
| 0 0 83749 0 0 0 -12003 44867 -53793 0 |
| 58795 62957 -23430 0 0 0 90482 0 -97198 0 |
| 0 55852 0 65099 0 0 -13111 0 0 91038 |
| 0 -6632 -61264 0 21292 0 8714 -49053 0 0 |
| -7127 0 0 0 0 0 0 -31005 70901 0 |
10 10
o1 : Matrix ZZ <--- ZZ
|
i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| -1103 28740 28740 1103 26534 0 0 -2206 27637 -30946
| -26591 1783 1783 26591 -26591 45452 21651 8704 -3157 6921
| 16729 -18131 -18131 -16729 16729 21952 0 -7396 -1402 10735
| -13897 26480 -15713 -51560 31317 18929 0 502 12583 -7658
| -4713 14984 14984 14984 -4713 10271 15445 2484 25716 68876
| 0 -12003 -12003 0 0 -12003 -38882 32864 32864 -8926
| 0 -22946 35849 0 4162 -27108 23430 31687 -22946 16230
| -25939 3581 3581 25939 29913 -13111 0 110 -22358 -3471
| 21292 2082 2082 0 14660 30006 12211 23537 -25679 163
| 0 21381 14254 0 7127 14254 -31005 -23878 -9624 18515
------------------------------------------------------------------------
|, | 0 -3 -2 0 -1 -2 0 -1 -3 3 |)
| | 0 1 1 0 1 0 0 0 1 -1 |
| | 0 0 0 0 0 0 -1 0 0 0 |
| | 1 -2 -2 -1 1 0 0 3 -1 5 |
| | 1 0 0 0 1 1 0 3 1 2 |
| | 0 0 0 0 0 0 0 -1 0 -1 |
| | 0 1 1 0 0 1 0 1 1 0 |
| | 0 0 0 0 0 0 1 1 1 1 |
| | 0 0 0 0 0 0 0 0 0 1 |
| | -1 1 1 1 -1 0 0 -2 0 -3 |
o2 : Sequence
|