We randomly choose an r × 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}, .00209385, .00129518) o3 : Sequence |
i4 : (m,t1,t2)=testTimeForLLLonSyzygies(15,30,Height=>100) o4 = ({50, 2.30853e454, 98}, .00683173, .0500106) o4 : Sequence |
i5 : L=apply(10,c->(testTimeForLLLonSyzygies(15,30))_{1,2}) o5 = {{.00635131, .0163029}, {.00624155, .00499541}, {.00619461, .00900967}, ------------------------------------------------------------------------ {.0176961, .0132253}, {.00644716, .0173897}, {.00782762, .016724}, ------------------------------------------------------------------------ {.00677574, .0107153}, {.00804809, .00993402}, {.00518041, .00648555}, ------------------------------------------------------------------------ {.01729, .0103487}} o5 : List |
i6 : 1/10*sum(L,t->t_0) o6 = .00880525170000001 o6 : RR (of precision 53) |
i7 : 1/10*sum(L,t->t_1) o7 = .011513066 o7 : RR (of precision 53) |