32S18-2,16,2-g0

graph data
Name 32S18-2,16,2-g0
Type Spherical
Degree 32
Genus 0
Galois orbit size for 32S18-2,16,2-g0-path1 1
Galois orbit size for 32S18-2,16,2-g0-path2 1
Galois orbit size for 32S18-2,16,2-g0-path3 1
Passport size 1
Pointed size 1

Above

64S54-4,32,4-g16 64S52-2,32,2-g0 64S53-2,32,4-g8 64S38-2,16,4-g7 64S47-4,16,4-g15 64S53-4,32,2-g8 64S38-4,16,2-g7

Below

16T13-2,8,2-g0

Belyi Curve 1: 32S18-2,16,2-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:

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

Belyi Map 1 Denominator:

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

Belyi Curve 2: 32S18-2,16,2-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:

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

Belyi Map 2 Denominator:

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

Belyi Curve 3: 32S18-2,16,2-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:

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

Belyi Map 3 Denominator:

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