One refined passport of genus 3 with automorphism group $C_8$

• Label: 3.8-1.0.4-8-8.4
• Genus: \(3\)
• Quotient genus: \(0\)
• Group: \(C_8\)
• Signature: \([ 0; 4, 8, 8 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$3$
Quotient genus:	$0$
Group name:	$C_8$
Group identifier:	$[8,1]$
Signature:	$[ 0; 4, 8, 8 ]$

Conjugacy classes for this refined passport:

$4, 5, 5$

The full automorphism group for this family is $D_4:C_4$ with signature $[ 0; 2, 4, 8 ]$.

Jacobian variety group algebra decomposition:

$A_{2}\times E$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

3.8-1.0.4-8-8.4.1

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