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}, .00151001, .00110764) o3 : Sequence |
i4 : (m,t1,t2)=testTimeForLLLonSyzygies(15,30,Height=>100) o4 = ({50, 2.30853e454, 98}, .00448425, .078347) o4 : Sequence |
i5 : L=apply(10,c->(testTimeForLLLonSyzygies(15,30))_{1,2}) o5 = {{.0049598, .0219386}, {.00472706, .00654472}, {.0273947, .0109677}, ------------------------------------------------------------------------ {.00502063, .0172195}, {.00557235, .0255627}, {.00590407, .0252117}, ------------------------------------------------------------------------ {.00456718, .0132962}, {.0247189, .0123816}, {.00426574, .0081808}, ------------------------------------------------------------------------ {.00567981, .0146812}} o5 : List |
i6 : 1/10*sum(L,t->t_0) o6 = .0092810207 o6 : RR (of precision 53) |
i7 : 1/10*sum(L,t->t_1) o7 = .0155984801 o7 : RR (of precision 53) |