16T1-16,16,4-g6

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

Above

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

Below

8T1-8,8,2-g2

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

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

Belyi Curve 1 Base Field: Rationals

Belyi Curve 1 Degree: 13

Belyi Curve 1 Naive Measure: 9

Belyi Map 1 Numerator:

\(-x_{2}^{2}x_{3}^{18} - x_{2}^{2}x_{3}^{10} - 3x_{2}x_{3}^{16} - 4x_{2}x_{3}^{8} + x_{2} - 2x_{3}^{14} - 2x_{3}^{6}\)

Belyi Map 1 Denominator:

\(8x_{3}^{6}\)