i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | 81078 0 0 62615 0 0 -84546 0 0 0 |
| 34175 94397 7983 27809 0 -1908 0 -15 61241 0 |
| 0 22148 -21781 -42630 0 0 51883 70756 50135 0 |
| 0 29825 0 30799 0 1828 -22838 0 0 -52537 |
| 58041 -22902 42205 30910 81629 -9424 -24919 63576 92444 0 |
| -55247 0 0 -22952 0 11959 0 0 0 0 |
| -2807 0 0 0 -71078 0 0 67355 64577 0 |
| 0 -67860 0 -9834 0 59878 0 0 0 -59198 |
| -68082 0 0 -43851 0 -60151 0 -12120 0 74141 |
| 86642 0 -99784 0 0 71579 0 0 41516 -25855 |
10 10
o1 : Matrix ZZ <--- ZZ
|
i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| -21931 -40394 -62325 -40394 0 21931 62615 -18463 3758 0
| 27809 13460 10036 19535 1908 35355 -35355 -14349 -30184 6075
| 9253 -11596 -45112 -33377 0 -29874 -22009 -20849 -5479 -21781
| 7961 38760 15068 -11949 50709 42748 -19910 30799 -1060 1828
| 5991 -63345 3840 -30564 9424 32301 -7382 12293 37923 32781
| -22952 9343 -25568 21302 -11959 10993 -10993 32295 42604 11959
| 0 2807 29 2807 0 -2778 2778 -68271 4669 0
| -9834 -19668 -21520 -18988 -680 9154 -9154 -9834 -37976 59878
| -43851 -19620 8800 -5630 -13990 41981 -41981 24231 -35500 -60151
| 0 13142 -16921 -40918 -45724 -4208 4208 13142 -23568 -28205
------------------------------------------------------------------------
|, | 0 -1 -1 -1 0 0 0 -1 -2 0 |)
| | 0 0 -1 0 0 0 0 0 0 0 |
| | 0 -1 -1 0 0 0 0 -1 -1 1 |
| | 1 2 3 2 0 -1 1 1 4 0 |
| | 0 0 0 0 0 0 0 1 1 0 |
| | 0 0 -1 1 -1 -1 1 0 2 1 |
| | 1 1 2 1 0 -1 0 0 1 0 |
| | 0 0 -1 0 0 -1 1 0 2 0 |
| | 0 0 1 0 0 1 -1 0 -1 0 |
| | 0 0 0 1 -1 -1 1 0 2 0 |
o2 : Sequence
|