One refined passport of genus 4 with automorphism group $C_8$

• Label: 4.8-1.0.2-2-8-8.1
• Genus: \(4\)
• Quotient genus: \(0\)
• Group: \(C_8\)
• Signature: \([ 0; 2, 2, 8, 8 ]\)
• Generating Vectors: \(1\)

Family Information

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

Conjugacy classes for this refined passport:

$2, 2, 5, 8$

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

Jacobian variety group algebra decomposition:

$A_{4}$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

4.8-1.0.2-2-8-8.1.1

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