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}, .00306613, .00166128)
o3 : Sequence
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i4 : (m,t1,t2)=testTimeForLLLonSyzygies(15,30,Height=>100)
o4 = ({50, 2.30853e454, 98}, .00880226, .0669427)
o4 : Sequence
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i5 : L=apply(10,c->(testTimeForLLLonSyzygies(15,30))_{1,2})
o5 = {{.0100503, .0235408}, {.00966295, .00804268}, {.0310929, .0127781}, {.0106739, .0187608}, {.0108607, .0252183}, {.0130199,
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.0237799}, {.00935491, .0155355}, {.0318081, .0143655}, {.00926908, .0103286}, {.0121745, .015435}}
o5 : List
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i6 : 1/10*sum(L,t->t_0) o6 = .0147967109 o6 : RR (of precision 53) |
i7 : 1/10*sum(L,t->t_1) o7 = .0167785122 o7 : RR (of precision 53) |