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}, .0023342, .00117496)
o3 : Sequence
|
i4 : (m,t1,t2)=testTimeForLLLonSyzygies(15,30,Height=>100)
o4 = ({50, 2.30853e454, 98}, .00672171, .0508006)
o4 : Sequence
|
i5 : L=apply(10,c->(testTimeForLLLonSyzygies(15,30))_{1,2})
o5 = {{.00732389, .0169099}, {.00713181, .00576792}, {.0407844, .0091556},
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{.00738509, .0136439}, {.00761278, .0185898}, {.00863807, .0178811},
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{.00754212, .0111385}, {.0085397, .0102651}, {.0130974, .00730998},
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{.00821198, .0111962}}
o5 : List
|
i6 : 1/10*sum(L,t->t_0) o6 = .011626725 o6 : RR (of precision 53) |
i7 : 1/10*sum(L,t->t_1) o7 = .012185812 o7 : RR (of precision 53) |
The object testTimeForLLLonSyzygies is a method function with options.