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

• Label: 5.22-2.0.2-11-22.2
• 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:

$2, 4, 17$

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.

5.22-2.0.2-11-22.2.1

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