i1 : A = matrix randomMutableMatrix(10,10,.5,100000)
o1 = | -36150 -80575 -24068 -77005 0 0 0 0 -21906 -47506 |
| 0 -5292 -96090 0 0 0 -48401 0 -76891 11986 |
| 0 -70985 61758 58558 33524 0 0 0 -91914 0 |
| 0 94091 0 0 9306 0 55154 0 0 -83672 |
| 0 -86432 0 45217 0 -33787 35838 0 0 -67094 |
| 34519 0 9219 -79618 -36216 0 0 0 -4737 0 |
| 0 0 0 -55715 -80511 0 56413 0 0 0 |
| 0 -87473 -22309 -11089 0 14334 0 0 64758 0 |
| -16646 46541 64563 0 0 0 32929 0 0 66971 |
| 0 0 -42639 -87413 -68621 -27929 -19274 23119 0 0 |
10 10
o1 : Matrix ZZ <--- ZZ
|
i2 : (B,U) = LLL(A, ChangeMatrix=>true)
o2 = (| 0 0 -36150 77005 0 -36150 17417 -6651 -21906 -20987
| 0 0 0 0 0 -48401 11274 -36415 -76891 -16566
| 0 0 0 -25034 33524 33524 -53268 8490 -91914 -42751
| 0 0 0 9306 9306 64460 45248 -9906 0 58149
| 0 -33787 0 -11430 0 2051 -6848 -8899 33787 -57227
| 0 0 34519 43402 -36216 -1697 32486 41705 -4737 10916
| 0 0 0 -24796 -80511 -24098 7519 -48894 0 -32315
| 0 14334 0 -3245 0 14334 19064 -17579 50424 -124116
| 0 0 -16646 0 0 16283 51620 83254 0 -5079
| 23119 -4810 0 483 736 -229 5310 9874 4810 -17
------------------------------------------------------------------------
|, | 0 0 1 0 0 1 1 1 0 -1 |)
| | 0 0 0 0 0 0 0 0 0 1 |
| | 0 0 0 0 0 0 -1 0 0 1 |
| | 0 0 0 -1 0 0 -1 -1 0 0 |
| | 0 0 0 1 1 1 2 2 0 -1 |
| | 0 1 0 -1 0 1 -1 -2 -1 -1 |
| | 0 0 0 0 0 1 2 1 0 -2 |
| | 1 1 0 -2 3 5 1 1 -1 -4 |
| | 0 0 0 0 0 0 0 0 1 0 |
| | 0 0 0 0 0 0 1 1 0 -1 |
o2 : Sequence
|