i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | 0 39300 0 0 -39658 -13219 0 85615 98252 0 |
| 0 3120 65667 0 -32893 -16796 0 -50348 0 -64931 |
| 0 0 0 0 0 61934 -86822 -16216 0 -8580 |
| 0 0 -53867 -50703 0 61 0 0 0 0 |
| 0 0 0 0 -32821 73029 -12693 -51654 86437 0 |
| 0 -22340 96680 -2063 8746 -91564 0 -98344 0 0 |
| 0 0 0 73533 0 0 -34072 0 81668 0 |
| 74880 -51202 68030 0 0 -31184 -25579 0 -92236 -83641 |
| 60971 0 0 0 0 91501 0 -84825 0 84684 |
| 0 -40284 38164 0 0 0 36117 0 -12682 88048 |
10 10
o1 : Matrix ZZ <--- ZZ
|
i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| -39658 39300 39300 0 -358 0 19294 1203 33941 -70610
| -32893 3120 3120 0 35894 0 -36013 19247 -15123 35344
| 0 0 0 0 0 -86822 0 -29410 16308 32524
| 0 0 0 -50703 -53867 0 50703 56909 3103 6267
| -32821 0 0 0 -32821 -12693 53616 -36864 -48310 -17451
| 8746 -22340 -22340 -2063 83086 0 33149 51065 -33417 -51308
| 0 0 0 73533 0 -34072 8135 25937 25937 17802
| 0 -51202 23678 0 16828 -25579 -41034 -39518 -2672 -53346
| 0 0 60971 0 0 0 0 -13493 -6817 17037
| 0 -40284 -40284 0 -2120 36117 27602 -11715 26449 967
------------------------------------------------------------------------
|, | 0 0 1 0 0 0 0 0 0 -1 |)
| | 0 1 1 0 1 0 -1 0 0 0 |
| | 0 0 0 0 1 0 0 -2 -1 -2 |
| | 0 0 0 1 0 0 -1 1 1 2 |
| | 1 0 0 0 1 0 1 -4 -3 -5 |
| | 0 0 0 0 0 0 0 -2 -1 -1 |
| | 0 0 0 0 0 1 0 -1 -1 -1 |
| | 0 0 0 0 0 0 0 -1 0 -1 |
| | 0 0 0 0 0 0 1 -1 -1 -2 |
| | 0 0 0 0 0 0 0 1 1 1 |
o2 : Sequence
|