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}, .00126692, .000694327) o3 : Sequence |
i4 : (m,t1,t2)=testTimeForLLLonSyzygies(15,30,Height=>100) o4 = ({50, 2.30853e454, 98}, .00363786, .0356639) o4 : Sequence |
i5 : L=apply(10,c->(testTimeForLLLonSyzygies(15,30))_{1,2}) o5 = {{.00401495, .011505}, {.00386173, .00370426}, {.0369512, .00704665}, ------------------------------------------------------------------------ {.00479045, .0101396}, {.00444, .0124945}, {.00534269, .0131885}, ------------------------------------------------------------------------ {.00376675, .00719984}, {.0300486, .0075694}, {.00424519, .0052763}, ------------------------------------------------------------------------ {.00500982, .00773306}} o5 : List |
i6 : 1/10*sum(L,t->t_0) o6 = .0102471446 o6 : RR (of precision 53) |
i7 : 1/10*sum(L,t->t_1) o7 = .00858570120000001 o7 : RR (of precision 53) |