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}, .0061251, .00251162) o3 : Sequence |
i4 : (m,t1,t2)=testTimeForLLLonSyzygies(15,30,Height=>100) o4 = ({50, 2.30853e454, 98}, .0178941, .111825) o4 : Sequence |
i5 : L=apply(10,c->(testTimeForLLLonSyzygies(15,30))_{1,2}) o5 = {{.0194329, .0352453}, {.0194114, .0121673}, {.0216202, .0190721}, ------------------------------------------------------------------------ {.0200377, .0285058}, {.0205166, .0398944}, {.0214742, .039171}, ------------------------------------------------------------------------ {.0186337, .0233067}, {.0209659, .0213225}, {.0170491, .0151508}, ------------------------------------------------------------------------ {.0230288, .0240229}} o5 : List |
i6 : 1/10*sum(L,t->t_0) o6 = .020217042 o6 : RR (of precision 53) |
i7 : 1/10*sum(L,t->t_1) o7 = .025785882 o7 : RR (of precision 53) |