We randomly choose an $r \times\ n$ matrix A over ZZ with entries up to the given Height, and take the time to compute B=ker A and an LLL basis of B.
i1 : setRandomSeed "nice example 2"; |
i2 : r=10,n=20 o2 = (10, 20) o2 : Sequence |
i3 : (m,t1,t2)=testTimeForLLLonSyzygies(r,n,Height=>11)
o3 = ({5, 2.91596e52, 9}, .00193043, .00102751)
o3 : Sequence
|
i4 : (m,t1,t2)=testTimeForLLLonSyzygies(15,30,Height=>100)
o4 = ({50, 2.30853e454, 98}, .00548341, .0431668)
o4 : Sequence
|
i5 : L=apply(10,c->(testTimeForLLLonSyzygies(15,30))_{1,2})
o5 = {{.00596912, .0148543}, {.00583404, .00503032}, {.00639322, .00805241}, {.00617422, .011927}, {.00666184, .0162338},
----------------------------------------------------------------------------------------------------------------------------
{.00705583, .015468}, {.00715303, .0098386}, {.0186379, .00909632}, {.00532296, .00648168}, {.00681632, .00964632}}
o5 : List
|
i6 : 1/10*sum(L,t->t_0) o6 = .0076018428 o6 : RR (of precision 53) |
i7 : 1/10*sum(L,t->t_1) o7 = .010662878 o7 : RR (of precision 53) |
The object testTimeForLLLonSyzygies is a method function with options.