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}, .00319415, .00163712)
o3 : Sequence
|
i4 : (m,t1,t2)=testTimeForLLLonSyzygies(15,30,Height=>100)
o4 = ({50, 2.30853e454, 98}, .0090521, .0668714)
o4 : Sequence
|
i5 : L=apply(10,c->(testTimeForLLLonSyzygies(15,30))_{1,2})
o5 = {{.0102111, .0235452}, {.00994553, .00808794}, {.0106426, .0126424}, {.0100423, .018789}, {.0105376, .0253238}, {.0111744,
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.0237691}, {.0115142, .0156297}, {.0294889, .0143922}, {.00916519, .0103147}, {.0115963, .0152294}}
o5 : List
|
i6 : 1/10*sum(L,t->t_0) o6 = .0124318168 o6 : RR (of precision 53) |
i7 : 1/10*sum(L,t->t_1) o7 = .0167723365 o7 : RR (of precision 53) |
The object testTimeForLLLonSyzygies is a method function with options.