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}, .00186432, .00109613)
o3 : Sequence
|
i4 : (m,t1,t2)=testTimeForLLLonSyzygies(15,30,Height=>100)
o4 = ({50, 2.30853e454, 98}, .00546731, .0461882)
o4 : Sequence
|
i5 : L=apply(10,c->(testTimeForLLLonSyzygies(15,30))_{1,2})
o5 = {{.0056628, .0155627}, {.00525776, .00518068}, {.00605954, .00837577},
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{.00547563, .0126241}, {.005649, .0171852}, {.00657576, .0156047},
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{.00557346, .00972057}, {.00671528, .00915538}, {.0123279, .00648899},
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{.00592243, .00936194}}
o5 : List
|
i6 : 1/10*sum(L,t->t_0) o6 = .0065219579 o6 : RR (of precision 53) |
i7 : 1/10*sum(L,t->t_1) o7 = .0109260044 o7 : RR (of precision 53) |
The object testTimeForLLLonSyzygies is a method function with options.