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}, .00194865, .00105197) o3 : Sequence |
i4 : (m,t1,t2)=testTimeForLLLonSyzygies(15,30,Height=>100) o4 = ({50, 2.30853e454, 98}, .00561242, .0432471) o4 : Sequence |
i5 : L=apply(10,c->(testTimeForLLLonSyzygies(15,30))_{1,2}) o5 = {{.00618641, .0149853}, {.00590129, .0052302}, {.0210071, .00810232}, {.00693692, .011994}, {.00704481, .0163148}, ---------------------------------------------------------------------------------------------------------------------------- {.00953161, .0154256}, {.00610306, .00993968}, {.0218969, .00919078}, {.00587808, .00657458}, {.00806537, .00989459}} o5 : List |
i6 : 1/10*sum(L,t->t_0) o6 = .0098551573 o6 : RR (of precision 53) |
i7 : 1/10*sum(L,t->t_1) o7 = .0107651922 o7 : RR (of precision 53) |