One refined passport of genus 12 with automorphism group $C_9$

• Label: 12.9-1.0.9-9-9-9-9.15
• Genus: \(12\)
• Quotient genus: \(0\)
• Group: \(C_9\)
• Signature: \([ 0; 9, 9, 9, 9, 9 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$12$
Quotient genus:	$0$
Group name:	$C_9$
Group identifier:	$[9,1]$
Signature:	$[ 0; 9, 9, 9, 9, 9 ]$

Conjugacy classes for this refined passport:

$4, 7, 8, 8, 8$

Jacobian variety group algebra decomposition:

$A_{9}\times A_{3}$

Other Data

Hyperelliptic curve(s):	no
Cyclic trigonal curve(s):	no

Generating vector(s)

Displaying the unique generating vector for this refined passport.

12.9-1.0.9-9-9-9-9.15.1

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