i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | 68325 99102 -6170 90499 24262 51288 -7031 0 57708 0 |
| -80118 0 0 0 2342 0 45031 -5448 69235 0 |
| -99816 0 0 0 -43752 19895 0 0 -59580 60932 |
| 0 0 -21213 0 0 0 0 0 6377 -27925 |
| -71961 0 0 0 61523 0 -55033 -23032 81707 0 |
| -31845 0 0 28412 0 0 -39315 0 93644 -35375 |
| 0 0 37178 0 -87050 0 -13603 84992 0 -62849 |
| -93992 0 34955 83505 0 73499 -7473 0 0 35557 |
| 0 0 48430 -68454 0 -32647 77161 92876 -71409 -22636 |
| 0 -3924 0 58258 0 -24432 0 0 -60279 0 |
10 10
o1 : Matrix ZZ <--- ZZ
|
i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| -6170 -35474 63628 -6170 -11212 19456 21675 -13286 36388 -19371
| 0 -5448 -5448 5448 -8554 -35781 -22558 30333 -779 55927
| 0 19895 19895 0 -23857 -457 -22037 61389 -4400 -60932
| -21213 42426 42426 -21213 42426 7454 -407 -14166 27853 -14501
| 0 -23032 -23032 23032 15459 -43891 8248 20859 44566 -8969
| 0 0 0 0 0 -15914 -35392 -19461 -26441 -3940
| 37178 10636 10636 -47814 8578 651 29419 -15686 22311 -46382
| 34955 3589 3589 34955 3589 29863 32426 -29261 16760 26880
| 48430 -36631 -36631 -44446 56245 30242 707 -8432 12713 10905
| 0 -20508 -24432 0 -20508 -14681 -36086 14681 40777 0
------------------------------------------------------------------------
|, | 0 0 0 0 0 1 -1 -1 -2 0 |)
| | 0 -1 0 0 -1 -3 4 3 6 0 |
| | 1 -2 -2 1 -2 -4 6 3 7 2 |
| | 0 0 0 0 0 1 -2 -1 -2 0 |
| | 0 0 0 0 1 1 -1 -1 -1 0 |
| | 0 1 1 0 1 1 1 -1 0 0 |
| | 0 0 0 0 0 0 0 0 0 1 |
| | 0 1 1 -1 2 5 -7 -4 -9 -2 |
| | 0 0 0 0 0 1 -2 -1 -3 0 |
| | 0 0 0 0 0 3 -5 -2 -7 -1 |
o2 : Sequence
|