One refined passport of genus 8 with automorphism group $C_{10}$

• Label: 8.10-2.0.5-5-10-10.10
• Genus: \(8\)
• Quotient genus: \(0\)
• Group: \(C_{10}\)
• Signature: \([ 0; 5, 5, 10, 10 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$8$
Quotient genus:	$0$
Group name:	$C_{10}$
Group identifier:	$[10,2]$
Signature:	$[ 0; 5, 5, 10, 10 ]$

Conjugacy classes for this refined passport:

$4, 4, 9, 10$

Jacobian variety group algebra decomposition:

$A_{4}\times A_{4}$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

8.10-2.0.5-5-10-10.10.1

	(1,3,5,2,4) (6,8,10,7,9)
	(1,3,5,2,4) (6,8,10,7,9)
	(1,8,5,7,4,6,3,10,2,9)
	(1,10,4,8,2,6,5,9,3,7)