16T1-4,16,16-g6

graph data
Name 16T1-4,16,16-g6
Type Hyperbolic
Degree 16
Genus 6
Galois orbit size for 16T1-4,16,16-g6-path1 2
Passport size 2
Pointed size 2

Above

32S16-4,16,16-g11 32S1-8,32,32-g14

Below

8T1-2,8,8-g2

Belyi Curve 1: 16T1-4,16,16-g6-path1

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

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

Belyi Curve 1 Degree: 13

Belyi Curve 1 Naive Measure: 9

Belyi Map 1 Numerator:

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

Belyi Map 1 Denominator:

\(1\)