One refined passport of genus 7 with automorphism group $C_{18}$

• Label: 7.18-2.0.6-9-18.6
• Genus: \(7\)
• Quotient genus: \(0\)
• Group: \(C_{18}\)
• Signature: \([ 0; 6, 9, 18 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$7$
Quotient genus:	$0$
Group name:	$C_{18}$
Group identifier:	$[18,2]$
Signature:	$[ 0; 6, 9, 18 ]$

Conjugacy classes for this refined passport:

$5, 12, 15$

Jacobian variety group algebra decomposition:

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

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

7.18-2.0.6-9-18.6.1

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