One refined passport of genus 5 with automorphism group $C_{22}$

• Label: 5.22-2.0.2-11-22.8
• Genus: \(5\)
• Quotient genus: \(0\)
• Group: \(C_{22}\)
• Signature: \([ 0; 2, 11, 22 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$5$
Quotient genus:	$0$
Group name:	$C_{22}$
Group identifier:	$[22,2]$
Signature:	$[ 0; 2, 11, 22 ]$

Conjugacy classes for this refined passport:

$2, 10, 14$

Jacobian variety group algebra decomposition:

$A_{5}$

Other Data

Hyperelliptic curve(s):	yes
Hyperelliptic involution:	(1,12) (2,13) (3,14) (4,15) (5,16) (6,17) (7,18) (8,19) (9,20) (10,21) (11,22)
Cyclic trigonal curve(s):	no

Equation(s) of curve(s) in this refined passport:

$y^2=x^{11}+1$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

5.22-2.0.2-11-22.8.1

	(1,12) (2,13) (3,14) (4,15) (5,16) (6,17) (7,18) (8,19) (9,20) (10,21) (11,22)
	(1,9,6,3,11,8,5,2,10,7,4) (12,20,17,14,22,19,16,13,21,18,15)
	(1,15,7,21,2,16,8,22,3,17,9,12,4,18,10,13,5,19,11,14,6,20)