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}, .00172264, .000950367) o3 : Sequence |
i4 : (m,t1,t2)=testTimeForLLLonSyzygies(15,30,Height=>100) o4 = ({50, 2.30853e454, 98}, .00490151, .0408884) o4 : Sequence |
i5 : L=apply(10,c->(testTimeForLLLonSyzygies(15,30))_{1,2}) o5 = {{.00532667, .0139207}, {.00517715, .00470322}, {.0304021, .0076968}, ------------------------------------------------------------------------ {.00545783, .0112373}, {.00556734, .0149975}, {.00656991, .0142093}, ------------------------------------------------------------------------ {.00506928, .00922144}, {.012545, .00861117}, {.00465078, .00607183}, ------------------------------------------------------------------------ {.00626673, .00908654}} o5 : List |
i6 : 1/10*sum(L,t->t_0) o6 = .00870327059999999 o6 : RR (of precision 53) |
i7 : 1/10*sum(L,t->t_1) o7 = .00997557169999999 o7 : RR (of precision 53) |