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}, .00592018, .00237358) o3 : Sequence |
i4 : (m,t1,t2)=testTimeForLLLonSyzygies(15,30,Height=>100) o4 = ({50, 2.30853e454, 98}, .0169854, .109687) o4 : Sequence |
i5 : L=apply(10,c->(testTimeForLLLonSyzygies(15,30))_{1,2}) o5 = {{.0185958, .0346482}, {.018212, .0116697}, {.0192054, .0185483}, ------------------------------------------------------------------------ {.0660193, .0278654}, {.019309, .0387677}, {.0207645, .038306}, ------------------------------------------------------------------------ {.0190422, .0226408}, {.0193023, .0208537}, {.0155695, .0149329}, ------------------------------------------------------------------------ {.0681915, .023417}} o5 : List |
i6 : 1/10*sum(L,t->t_0) o6 = .028421138 o6 : RR (of precision 53) |
i7 : 1/10*sum(L,t->t_1) o7 = .025164964 o7 : RR (of precision 53) |