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}, .0071186, .00286713) o3 : Sequence |
i4 : (m,t1,t2)=testTimeForLLLonSyzygies(15,30,Height=>100) o4 = ({50, 2.30853e454, 98}, .0204499, .106974) o4 : Sequence |
i5 : L=apply(10,c->(testTimeForLLLonSyzygies(15,30))_{1,2}) o5 = {{.0227944, .0374329}, {.023011, .0143483}, {.0819374, .021754}, ------------------------------------------------------------------------ {.0230603, .0313904}, {.0242889, .0409006}, {.0242985, .0369777}, ------------------------------------------------------------------------ {.0218073, .0261829}, {.0430423, .0245045}, {.0203621, .0185597}, ------------------------------------------------------------------------ {.02685, .0256413}} o5 : List |
i6 : 1/10*sum(L,t->t_0) o6 = .0311452252 o6 : RR (of precision 53) |
i7 : 1/10*sum(L,t->t_1) o7 = .0277692096 o7 : RR (of precision 53) |