We randomly choose an r × 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}, .00108265, .000626739)
o3 : Sequence
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i4 : (m,t1,t2)=testTimeForLLLonSyzygies(15,30,Height=>100)
o4 = ({50, 2.30853e454, 98}, .00320511, .0289004)
o4 : Sequence
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i5 : L=apply(10,c->(testTimeForLLLonSyzygies(15,30))_{1,2})
o5 = {{.00349866, .00971695}, {.00349278, .00349322}, {.0243444, .00570144}, {.00383117, .00823685}, {.00387002, .0106629},
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{.00476188, .0101515}, {.00328248, .00636998}, {.0122532, .00652142}, {.00331244, .00441132}, {.00440108, .00663367}}
o5 : List
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i6 : 1/10*sum(L,t->t_0) o6 = .00670481120000001 o6 : RR (of precision 53) |
i7 : 1/10*sum(L,t->t_1) o7 = .00718993039999999 o7 : RR (of precision 53) |