One refined passport of genus 4 with automorphism group $C_{12}$

• Label: 4.12-2.0.4-6-12.2
• Genus: \(4\)
• Quotient genus: \(0\)
• Group: \(C_{12}\)
• Signature: \([ 0; 4, 6, 12 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$4$
Quotient genus:	$0$
Group name:	$C_{12}$
Group identifier:	$[12,2]$
Signature:	$[ 0; 4, 6, 12 ]$

Conjugacy classes for this refined passport:

$5, 8, 9$

Jacobian variety group algebra decomposition:

$E\times A_{2}\times E$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

4.12-2.0.4-6-12.2.1

	(1,7,2,8) (3,9,4,10) (5,11,6,12)
	(1,6,3,2,5,4) (7,12,9,8,11,10)
	(1,9,6,8,3,11,2,10,5,7,4,12)