One refined passport of genus 4 with automorphism group $C_6$

• Label: 4.6-2.0.2-2-3-3-3.2
• Genus: \(4\)
• Quotient genus: \(0\)
• Group: \(C_6\)
• Signature: \([ 0; 2, 2, 3, 3, 3 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$4$
Quotient genus:	$0$
Group name:	$C_6$
Group identifier:	$[6,2]$
Signature:	$[ 0; 2, 2, 3, 3, 3 ]$

Conjugacy classes for this refined passport:

$2, 2, 4, 4, 4$

Jacobian variety group algebra decomposition:

$E\times A_{3}$

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.

4.6-2.0.2-2-3-3-3.2.1

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