32S1-8,32,32-g14

graph data
Name 32S1-8,32,32-g14
Type Hyperbolic
Degree 32
Genus 14
Galois orbit size for 32S1-8,32,32-g14-path1 2
Galois orbit size for 32S1-8,32,32-g14-path2 2
Passport size 4
Pointed size 4

Above

64S1-16,64,64-g30 64S50-8,32,32-g27

Below

16T1-4,16,16-g6

Belyi Curve 1: 32S1-8,32,32-g14-path1

\(x_{1}^{5} + x_{1} - x_{2}^{2}\)
\(x_{1}^{3}x_{3}^{2} - \nu^{2}x_{1}x_{3}^{2} - x_{2}2\)
\(-x_{1}^{2} + x_{2}x_{3}^{2} - \nu^{2}\)
\(-x_{3} + x_{4}^{2}\)

Belyi Curve 1 Base Field: \(\nu^{4}+1\), discriminant [ <2, 8> ]

Belyi Curve 1 Degree: 26

Belyi Curve 1 Naive Measure: 11

Belyi Map 1 Numerator:

\(x_{2}^{2}x_{4}^{8} - 2\nu^{2}x_{2}x_{4}^{4}\)

Belyi Map 1 Denominator:

\(1\)

Belyi Curve 2: 32S1-8,32,32-g14-path2

\(x_{1}^{5} + x_{1} - x_{2}^{2}\)
\(x_{1}^{3}x_{3}^{2} - \nu^{2}x_{1}x_{3}^{2} - x_{2}2\)
\(-x_{1}^{2} + x_{2}x_{3}^{2} - \nu^{2}\)
\(-x_{3} + x_{4}^{2}\)

Belyi Curve 2 Base Field: \(\nu^{4}+1\), discriminant [ <2, 8> ]

Belyi Curve 2 Degree: 26

Belyi Curve 2 Naive Measure: 11

Belyi Map 2 Numerator:

\(x_{2}^{2}x_{4}^{8} - 2\nu^{2}x_{2}x_{4}^{4}\)

Belyi Map 2 Denominator:

\(1\)