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}, .00190629, .00123741) o3 : Sequence |
i4 : (m,t1,t2)=testTimeForLLLonSyzygies(15,30,Height=>100) o4 = ({50, 2.30853e454, 98}, .00618844, .083685) o4 : Sequence |
i5 : L=apply(10,c->(testTimeForLLLonSyzygies(15,30))_{1,2}) o5 = {{.00687025, .0232192}, {.00574725, .00687068}, {.0271413, .0121516}, ------------------------------------------------------------------------ {.00720279, .0190313}, {.0069335, .0273289}, {.00914694, .0261636}, ------------------------------------------------------------------------ {.00601695, .0139864}, {.0300021, .0132747}, {.00549206, .00957613}, ------------------------------------------------------------------------ {.00819906, .0149215}} o5 : List |
i6 : 1/10*sum(L,t->t_0) o6 = .0112752183 o6 : RR (of precision 53) |
i7 : 1/10*sum(L,t->t_1) o7 = .0166524063 o7 : RR (of precision 53) |