Computation of c1, c2, c3 for rational real algebraic (MW-2)-knots

Computations for Proposition 6.5 of the paper
"Maximally writhed real algebraic links"
by Grigory Mikhalkin and Stepan Orevkov

Last update: September 12, 2017

pdf -- the paper


Mathematica scripts:

mw.mat -- Computation of:
    c2(L_a^d) in Prop. 6.5(a)
    c2(K') in Prop. 6.5(b1)
    c3(L_a^d) in Prop. 6.5(b2)
without using `KnotTheory' package
mw-mat-result.txt -- The output (the computation takes 15 sec)

mw-kt.mat -- the same computation using the function Vassiliev[2] from the Mathematica package KnotTheory`. The function Vassiliev[2] computes the second order Vassiliev knot invariant which coincides with the coefficient c_2 of the Conway polynomial.
mw-kt-mat-result.txt -- The output (the computation takes 3 min 47 sec)

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