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}, .00171887, .00105829) o3 : Sequence |
i4 : (m,t1,t2)=testTimeForLLLonSyzygies(15,30,Height=>100) o4 = ({50, 2.30853e454, 98}, .00510556, .0450635) o4 : Sequence |
i5 : L=apply(10,c->(testTimeForLLLonSyzygies(15,30))_{1,2}) o5 = {{.00562073, .0155383}, {.00533828, .0051976}, {.0416348, .00818361}, ------------------------------------------------------------------------ {.00606714, .0124354}, {.00614554, .0166726}, {.00867853, .0156773}, ------------------------------------------------------------------------ {.00574824, .0110869}, {.0165167, .00932374}, {.00501987, .0065006}, ------------------------------------------------------------------------ {.00685353, .00979812}} o5 : List |
i6 : 1/10*sum(L,t->t_0) o6 = .0107623381 o6 : RR (of precision 53) |
i7 : 1/10*sum(L,t->t_1) o7 = .0110414232 o7 : RR (of precision 53) |