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}, .0028955, .00162742)
o3 : Sequence
|
i4 : (m,t1,t2)=testTimeForLLLonSyzygies(15,30,Height=>100)
o4 = ({50, 2.30853e454, 98}, .00841186, .0745506)
o4 : Sequence
|
i5 : L=apply(10,c->(testTimeForLLLonSyzygies(15,30))_{1,2})
o5 = {{.00907624, .0245331}, {.008595, .00800585}, {.025047, .0132521},
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{.00875637, .0194924}, {.00896222, .0272106}, {.0102106, .0268966},
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{.00905954, .0158047}, {.0102054, .0146616}, {.0205737, .0101486},
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{.00979003, .0164357}}
o5 : List
|
i6 : 1/10*sum(L,t->t_0) o6 = .0120276165 o6 : RR (of precision 53) |
i7 : 1/10*sum(L,t->t_1) o7 = .0176441222 o7 : RR (of precision 53) |
The object testTimeForLLLonSyzygies is a method function with options.