One refined passport of genus 7 with automorphism group $C_6$

• Label: 7.6-2.0.2-3-3-3-3-6.4
• Genus: \(7\)
• Quotient genus: \(0\)
• Group: \(C_6\)
• Signature: \([ 0; 2, 3, 3, 3, 3, 6 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$7$
Quotient genus:	$0$
Group name:	$C_6$
Group identifier:	$[6,2]$
Signature:	$[ 0; 2, 3, 3, 3, 3, 6 ]$

Conjugacy classes for this refined passport:

$2, 4, 4, 4, 4, 5$

Jacobian variety group algebra decomposition:

$A_{3}\times A_{4}$

Other Data

Hyperelliptic curve(s):	no
Cyclic trigonal curve(s):	yes
Trigonal automorphism:	(1,2,3) (4,5,6)

Generating vector(s)

Displaying the unique generating vector for this refined passport.

7.6-2.0.2-3-3-3-3-6.4.1

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