We randomly choose an $r \times\ n$ 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}, .00314551, .00162803)
o3 : Sequence
|
i4 : (m,t1,t2)=testTimeForLLLonSyzygies(15,30,Height=>100)
o4 = ({50, 2.30853e454, 98}, .0089498, .066522)
o4 : Sequence
|
i5 : L=apply(10,c->(testTimeForLLLonSyzygies(15,30))_{1,2})
o5 = {{.0104549, .0230315}, {.00976004, .00797005}, {.032999, .0123789},
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{.00984769, .0184523}, {.0100588, .0248933}, {.0112095, .0234856},
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{.00992027, .0153464}, {.0112621, .0143798}, {.0271975, .010252},
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{.0111655, .0149558}}
o5 : List
|
i6 : 1/10*sum(L,t->t_0) o6 = .0143875222 o6 : RR (of precision 53) |
i7 : 1/10*sum(L,t->t_1) o7 = .016514564 o7 : RR (of precision 53) |
The object testTimeForLLLonSyzygies is a method function with options.