32S16-8,16,16-g13

graph data
Name 32S16-8,16,16-g13
Type Hyperbolic
Degree 32
Genus 13
Galois orbit size for 32S16-8,16,16-g13-path1 1
Galois orbit size for 32S16-8,16,16-g13-path10 1
Galois orbit size for 32S16-8,16,16-g13-path11 1
Galois orbit size for 32S16-8,16,16-g13-path12 1
Galois orbit size for 32S16-8,16,16-g13-path13 1
Galois orbit size for 32S16-8,16,16-g13-path14 1
Galois orbit size for 32S16-8,16,16-g13-path15 1
Galois orbit size for 32S16-8,16,16-g13-path16 1
Galois orbit size for 32S16-8,16,16-g13-path17 1
Galois orbit size for 32S16-8,16,16-g13-path18 1
Galois orbit size for 32S16-8,16,16-g13-path2 1
Galois orbit size for 32S16-8,16,16-g13-path3 1
Galois orbit size for 32S16-8,16,16-g13-path4 1
Galois orbit size for 32S16-8,16,16-g13-path5 1
Galois orbit size for 32S16-8,16,16-g13-path6 1
Galois orbit size for 32S16-8,16,16-g13-path7 1
Galois orbit size for 32S16-8,16,16-g13-path8 1
Galois orbit size for 32S16-8,16,16-g13-path9 1
Passport size 2
Pointed size 2

Above

64S44-8,16,16-g25 64S51-16,32,32-g29 64S50-16,32,32-g29 64S26-8,16,16-g25 64S29-8,16,16-g25

Below

16T5-4,8,8-g5 16T1-8,16,16-g7

Belyi Curve 1: 32S16-8,16,16-g13-path13

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

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

Belyi Curve 1 Degree: 20

Belyi Curve 1 Naive Measure: 11

Belyi Map 1 Numerator:

\(x_{3}^{2}x_{5}^{8}\)

Belyi Map 1 Denominator:

\(1\)

Belyi Curve 2: 32S16-8,16,16-g13-path14

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

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

Belyi Curve 2 Degree: 20

Belyi Curve 2 Naive Measure: 11

Belyi Map 2 Numerator:

\(x_{3}^{2}x_{5}^{8}\)

Belyi Map 2 Denominator:

\(1\)