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}, .00206144, .00106412) o3 : Sequence |
i4 : (m,t1,t2)=testTimeForLLLonSyzygies(15,30,Height=>100) o4 = ({50, 2.30853e454, 98}, .00643977, .0511074) o4 : Sequence |
i5 : L=apply(10,c->(testTimeForLLLonSyzygies(15,30))_{1,2}) o5 = {{.00706229, .0171716}, {.00708736, .00575613}, {.0342143, .0087924}, ------------------------------------------------------------------------ {.00754103, .0138505}, {.0074891, .0190347}, {.0111777, .0184853}, ------------------------------------------------------------------------ {.00683979, .0110056}, {.035317, .0102599}, {.00587761, .00700115}, ------------------------------------------------------------------------ {.0085311, .0113925}} o5 : List |
i6 : 1/10*sum(L,t->t_0) o6 = .0131137348 o6 : RR (of precision 53) |
i7 : 1/10*sum(L,t->t_1) o7 = .0122749853 o7 : RR (of precision 53) |