16T1-16,16,8-g7

graph data
Name 16T1-16,16,8-g7
Type Hyperbolic
Degree 16
Genus 7
Galois orbit size for 16T1-16,16,8-g7-path1 2
Galois orbit size for 16T1-16,16,8-g7-path2 2
Passport size 4
Pointed size 4

Above

32S1-32,32,16-g15 32S16-16,16,8-g13

Below

8T1-8,8,4-g3

Belyi Curve 1: 16T1-16,16,8-g7-path1

\(x_{1}^{8}x_{2} + x_{2}^{2} - x_{3}^{16}\)

Belyi Curve 1 Base Field: Rationals

Belyi Curve 1 Degree: 16

Belyi Curve 1 Naive Measure: 3

Belyi Map 1 Numerator:

\(x_{1}^{8} + x_{2}2\)

Belyi Map 1 Denominator:

\(x_{1}^{8}\)

Belyi Curve 2: 16T1-16,16,8-g7-path2

\(x_{1}^{8}x_{2} + x_{2}^{2} - x_{3}^{16}\)

Belyi Curve 2 Base Field: Rationals

Belyi Curve 2 Degree: 16

Belyi Curve 2 Naive Measure: 3

Belyi Map 2 Numerator:

\(x_{1}^{8} + x_{2}2\)

Belyi Map 2 Denominator:

\(x_{1}^{8}\)