16T13-2,8,2-g0

graph data
Name 16T13-2,8,2-g0
Type Spherical
Degree 16
Genus 0
Galois orbit size for 16T13-2,8,2-g0-path1 1
Galois orbit size for 16T13-2,8,2-g0-path2 1
Galois orbit size for 16T13-2,8,2-g0-path3 1
Passport size 1
Pointed size 1

Above

32S9-4,8,2-g3 32S18-2,16,2-g0 32S14-4,8,4-g7 32S19-2,16,4-g4 32S20-4,16,4-g8 32S9-2,8,4-g3 32S19-4,16,2-g4

Below

8T4-2,4,2-g0

Belyi Curve 1: 16T13-2,8,2-g0-path1

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

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

Belyi Curve 1 Degree: 2

Belyi Curve 1 Naive Measure: 2

Belyi Map 1 Numerator:

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

Belyi Map 1 Denominator:

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

Belyi Curve 2: 16T13-2,8,2-g0-path2

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

Belyi Curve 2 Base Field: Rationals

Belyi Curve 2 Degree: 2

Belyi Curve 2 Naive Measure: 2

Belyi Map 2 Numerator:

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

Belyi Map 2 Denominator:

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

Belyi Curve 3: 16T13-2,8,2-g0-path3

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

Belyi Curve 3 Base Field: \(\nu^{2}+1\), discriminant [ <2, 2> ]

Belyi Curve 3 Degree: 2

Belyi Curve 3 Naive Measure: 2

Belyi Map 3 Numerator:

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

Belyi Map 3 Denominator:

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