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

• Label: 12.12-2.0.3-4-4-4-12.5
• Genus: \(12\)
• Quotient genus: \(0\)
• Group: \(C_{12}\)
• Signature: \([ 0; 3, 4, 4, 4, 12 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$12$
Quotient genus:	$0$
Group name:	$C_{12}$
Group identifier:	$[12,2]$
Signature:	$[ 0; 3, 4, 4, 4, 12 ]$

Conjugacy classes for this refined passport:

$4, 5, 5, 5, 9$

Jacobian variety group algebra decomposition:

$A_{2}\times E\times A_{6}\times A_{3}$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

12.12-2.0.3-4-4-4-12.5.1

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