Parametrization of Zolotarev Polynomials

Zolotarev Radical Parametrization of Degree 7

The following files in .nb format have been generated with the CAS Wolfram Mathematica, version 12. They are additionally provided in the .pdf and in the .m format. Further files, which describe polynomials, are given in the .txt format. All files correspond to a manuscript by H.-J. Rack & R. Vajda concerning the radical parametrization of Zolotarev polynomials of degree 7.

The initial equation system+Gröbner basis for β-γ-s: [nb] [pdf] [m]
The radical parametrization β(t)-γ(t), the reduced relation curve R₇(β,γ)=0, the factor curve R*₇(B,C)=0: [nb] [pdf] [m]
Z_7,t Coefficients in Theorem 2.1: [txt]
The polynomial u_kj in Lemma 2.7: [txt]
The verification of Z₇(α)=-1 in Lemma 2.7: [nb] [pdf] [m]
The polynomial Q_3,t(z) in Theorem 2.2: [txt]
The polynomial Q_4,t(y) in Lemma 2.11: [txt]
Computations in Lemma 2.11: [nb] [pdf] [m]
The polynomial Q_6,t(y) in Lemma 2.13: [txt]
Computations in Lemma 2.13: [nb] [pdf] [m]
The polynomial Q_7,t(y) in Lemma 2.14: [txt]
Computations in Lemma 2.14: [nb] [pdf] [m]