One refined passport of genus 5 with automorphism group $C_8$

• Label: 5.8-1.0.2-4-8-8.2
• Genus: \(5\)
• Quotient genus: \(0\)
• Group: \(C_8\)
• Signature: \([ 0; 2, 4, 8, 8 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$5$
Quotient genus:	$0$
Group name:	$C_8$
Group identifier:	$[8,1]$
Signature:	$[ 0; 2, 4, 8, 8 ]$

Conjugacy classes for this refined passport:

$2, 3, 6, 8$

Jacobian variety group algebra decomposition:

$A_{4}\times E$

Other Data

Hyperelliptic curve(s):	no
Cyclic trigonal curve(s):	no

Generating vector(s)

Displaying the unique generating vector for this refined passport.

5.8-1.0.2-4-8-8.2.1

	(1,2) (3,4) (5,6) (7,8)
	(1,3,2,4) (5,7,6,8)
	(1,7,4,5,2,8,3,6)
	(1,8,4,6,2,7,3,5)