32S1-32,16,32-g15

graph data
Name 32S1-32,16,32-g15
Type Hyperbolic
Degree 32
Genus 15
Galois orbit size for 32S1-32,16,32-g15-path1 2
Galois orbit size for 32S1-32,16,32-g15-path2 2
Galois orbit size for 32S1-32,16,32-g15-path3 2
Galois orbit size for 32S1-32,16,32-g15-path4 2
Passport size 8
Pointed size 8

Above

64S50-32,16,32-g29 64S1-64,32,64-g31

Below

16T1-16,8,16-g7

Belyi Curve 1: 32S1-32,16,32-g15-path1

\(x_{1}^{16}x_{2} + x_{2}^{2} - x_{3}^{32}\)

Belyi Curve 1 Base Field: Rationals

Belyi Curve 1 Degree: 32

Belyi Curve 1 Naive Measure: 3

Belyi Map 1 Numerator:

\(x_{1}^{32} - x_{2}^{2} + 2\)

Belyi Map 1 Denominator:

\(1\)

Belyi Curve 2: 32S1-32,16,32-g15-path2

\(x_{1}^{16}x_{2} + x_{2}^{2} - x_{3}^{32}\)

Belyi Curve 2 Base Field: Rationals

Belyi Curve 2 Degree: 32

Belyi Curve 2 Naive Measure: 3

Belyi Map 2 Numerator:

\(x_{1}^{32} - x_{2}^{2} + 2\)

Belyi Map 2 Denominator:

\(1\)

Belyi Curve 3: 32S1-32,16,32-g15-path3

\(x_{1}^{16}x_{2} + x_{2}^{2} - x_{3}^{32}\)

Belyi Curve 3 Base Field: Rationals

Belyi Curve 3 Degree: 32

Belyi Curve 3 Naive Measure: 3

Belyi Map 3 Numerator:

\(x_{1}^{32} - x_{2}^{2} + 2\)

Belyi Map 3 Denominator:

\(1\)

Belyi Curve 4: 32S1-32,16,32-g15-path4

\(x_{1}^{16}x_{2} + x_{2}^{2} - x_{3}^{32}\)

Belyi Curve 4 Base Field: Rationals

Belyi Curve 4 Degree: 32

Belyi Curve 4 Naive Measure: 3

Belyi Map 4 Numerator:

\(x_{1}^{32} - x_{2}^{2} + 2\)

Belyi Map 4 Denominator:

\(1\)