File:Plots phi even rainbow.png

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Original file ‎(876 × 998 pixels, file size: 756 KB, MIME type: image/png)

Captions

Captions

Roots of a polynomial related to transitive factorizations of the identity for permutations of size 8 to 50.

Summary

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Description
English: This is a plot of the roots of certain polynomials with symmetric coefficients that encode the number of transitive factorizations of the identity into transpositions in the symmetric group of size 8 to 50 with the colors of the rainbow. The plot of the roots seems to be approaching a circle of radius 1. For more information see the preprint "Hurwitz numbers for reflection groups I: Generatingfunctionology" by Theo Douvropoulos, Joel Brewster Lewis, and Alejandro H. Morales, arXiv:2112.03427
Español: Una grafica de las raices de ciertos polinomios asociados a el número de factorizaciones transitivas de la identidad en transposiciones en el grupo simétrico de tamaño 8 a 50 con los colores del arcoíris. Las gráficas parecen converger a un círculo de radio uno. Para más información, ver el artículo "Hurwitz numbers for reflection groups I: Generatingfunctionology" de Theo Douvropoulos, Joel Brewster Lewis, y Alejandro H. Morales, arXiv:2112.03427
Date
Source Own work
Author Ahmorales-math

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current21:30, 29 December 2021Thumbnail for version as of 21:30, 29 December 2021876 × 998 (756 KB)Ahmorales-math (talk | contribs)Uploaded own work with UploadWizard

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