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}, .00291827, .00160394) o3 : Sequence |
i4 : (m,t1,t2)=testTimeForLLLonSyzygies(15,30,Height=>100) o4 = ({50, 2.30853e454, 98}, .00912054, .133973) o4 : Sequence |
i5 : L=apply(10,c->(testTimeForLLLonSyzygies(15,30))_{1,2}) o5 = {{.00953719, .0354164}, {.00870785, .00937788}, {.00957243, .0162304}, ------------------------------------------------------------------------ {.00976529, .0272108}, {.00956821, .0424538}, {.046825, .0437086}, ------------------------------------------------------------------------ {.00842767, .0218389}, {.00937686, .0187881}, {.00806214, .0115801}, ------------------------------------------------------------------------ {.0108495, .0243797}} o5 : List |
i6 : 1/10*sum(L,t->t_0) o6 = .0130692097 o6 : RR (of precision 53) |
i7 : 1/10*sum(L,t->t_1) o7 = .0250984693 o7 : RR (of precision 53) |