16T13-2,2,8-g0

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

Above

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

Below

8T4-2,2,4-g0

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

\(1/4x_{2}^{16} + 1/2x_{2}^{8} + 1/4\)

Belyi Map 1 Denominator:

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

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

\(4x_{2}^{8}\)

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

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

Belyi Curve 3 Base Field: Rationals

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:

\(4x_{2}^{8}\)