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}, .00497937, .00190845) o3 : Sequence |
i4 : (m,t1,t2)=testTimeForLLLonSyzygies(15,30,Height=>100) o4 = ({50, 2.30853e454, 98}, .0142445, .0702928) o4 : Sequence |
i5 : L=apply(10,c->(testTimeForLLLonSyzygies(15,30))_{1,2}) o5 = {{.0158812, .0242419}, {.0159871, .00894861}, {.0170874, .0138712}, ------------------------------------------------------------------------ {.0343019, .0199215}, {.0161021, .0265032}, {.0173218, .0250365}, ------------------------------------------------------------------------ {.0157454, .0166527}, {.0170787, .0155181}, {.0141065, .011451}, ------------------------------------------------------------------------ {.0180056, .0276791}} o5 : List |
i6 : 1/10*sum(L,t->t_0) o6 = .0181617598 o6 : RR (of precision 53) |
i7 : 1/10*sum(L,t->t_1) o7 = .0189823784 o7 : RR (of precision 53) |