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

• Label: 7.18-2.0.6-9-18.10
• 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:

$6, 10, 15$

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.

7.18-2.0.6-9-18.10.1

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