One refined passport of genus 7 with automorphism group $C_8$

• Label: 7.8-1.0.8-8-8-8.2
• Genus: \(7\)
• Quotient genus: \(0\)
• Group: \(C_8\)
• Signature: \([ 0; 8, 8, 8, 8 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$7$
Quotient genus:	$0$
Group name:	$C_8$
Group identifier:	$[8,1]$
Signature:	$[ 0; 8, 8, 8, 8 ]$

Conjugacy classes for this refined passport:

$5, 5, 6, 6$

The full automorphism group for this family is $C_2\times D_8$ with signature $[ 0; 2, 2, 2, 8 ]$.

Jacobian variety group algebra decomposition:

$A_{4}\times A_{2}\times E$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

7.8-1.0.8-8-8-8.2.1

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