i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | 0 0 0 0 0 -56390 62598 0 6780 69396 |
| 51788 -25195 -45986 67213 0 0 0 32546 6653 -34140 |
| 0 0 27594 -3309 69460 -39238 0 0 -78234 0 |
| -76588 -28074 0 0 0 0 -30586 75845 0 0 |
| 7318 -41225 -5872 -2129 -12689 -89871 79552 40383 0 0 |
| 0 29753 -18524 0 0 0 0 0 -8657 -44637 |
| -27797 450 259 0 -88978 0 72876 0 0 21408 |
| 0 -21356 44729 -27692 0 -34401 31061 5086 0 59499 |
| 71440 0 0 -74587 56323 0 0 0 -62970 -94626 |
| 54171 0 0 0 0 0 0 47841 90006 70091 |
10 10
o1 : Matrix ZZ <--- ZZ
|
i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| 0 0 6208 44010 37802 -24814 -31576 18070 -18624 -25940
| -25195 -45986 0 -51461 -9708 6326 18869 17212 16558 4843
| 0 27594 30222 -10362 18927 -7428 -31810 -8180 38305 29776
| -28074 0 -30586 17682 -2266 -2266 30340 -11130 13150 -9115
| -41225 -5872 -23008 -22561 -16900 -30773 -17873 -15872 -2237 -41250
| 29753 -18524 0 13365 -20954 -22022 -7731 333 -4566 27950
| 450 259 -16102 -9878 26361 5471 -5921 -7150 -20085 3887
| -21356 44729 -3340 -2202 -6745 -4478 -8567 28827 -19219 38132
| 0 0 56323 -11667 32834 -10097 10097 13752 -11822 25419
| 0 0 0 14341 1579 21494 -21494 -30226 -12762 3274
------------------------------------------------------------------------
|, | 0 0 0 1 -2 -2 2 7 -3 6 |)
| | 1 0 0 1 -1 -1 0 2 -1 3 |
| | 0 1 0 -3 1 3 -3 -9 4 -5 |
| | 0 0 0 -2 1 2 -2 -6 3 -4 |
| | 0 0 1 -3 5 5 -5 -16 7 -13 |
| | 0 0 1 -3 5 5 -4 -14 6 -11 |
| | 0 0 1 -4 6 6 -6 -19 8 -15 |
| | 0 0 0 0 0 0 0 0 0 1 |
| | 0 0 0 -2 2 3 -3 -10 4 -8 |
| | 0 0 0 2 -1 -2 2 7 -3 5 |
o2 : Sequence
|