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}, .00175294, .000931245) o3 : Sequence |
i4 : (m,t1,t2)=testTimeForLLLonSyzygies(15,30,Height=>100) o4 = ({50, 2.30853e454, 98}, .00505022, .0450082) o4 : Sequence |
i5 : L=apply(10,c->(testTimeForLLLonSyzygies(15,30))_{1,2}) o5 = {{.00549163, .0146352}, {.00531656, .00477518}, {.0301823, .0079612}, ------------------------------------------------------------------------ {.00559062, .0117367}, {.00568163, .0160774}, {.00671608, .0154757}, ------------------------------------------------------------------------ {.00516807, .00944753}, {.0125304, .00904445}, {.00477579, .00608876}, ------------------------------------------------------------------------ {.00641572, .00958629}} o5 : List |
i6 : 1/10*sum(L,t->t_0) o6 = .00878687429999999 o6 : RR (of precision 53) |
i7 : 1/10*sum(L,t->t_1) o7 = .0104828478 o7 : RR (of precision 53) |