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

• Label: 8.10-2.0.5-5-10-10.19
• 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:

$6, 6, 7, 7$

The full automorphism group for this family is $C_2\times C_{10}$ with signature $[ 0; 2, 2, 5, 10 ]$.

Jacobian variety group algebra decomposition:

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

8.10-2.0.5-5-10-10.19.1

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