One refined passport of genus 8 with automorphism group $C_{18}$

• Label: 8.18-2.0.9-18-18.9
• Genus: \(8\)
• Quotient genus: \(0\)
• Group: \(C_{18}\)
• Signature: \([ 0; 9, 18, 18 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$8$
Quotient genus:	$0$
Group name:	$C_{18}$
Group identifier:	$[18,2]$
Signature:	$[ 0; 9, 18, 18 ]$

Conjugacy classes for this refined passport:

$11, 13, 13$

The full automorphism group for this family is $C_9:D_4$ with signature $[ 0; 2, 4, 18 ]$.

Jacobian variety group algebra decomposition:

$A_{3}\times A_{3}\times E\times E$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

8.18-2.0.9-18-18.9.1

	(1,6,8,2,4,9,3,5,7) (10,15,17,11,13,18,12,14,16)
	(1,13,7,11,5,17,3,15,9,10,4,16,2,14,8,12,6,18)
	(1,13,7,11,5,17,3,15,9,10,4,16,2,14,8,12,6,18)