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

• Label: 12.12-2.0.3-3-4-6-12.3
• Genus: \(12\)
• Quotient genus: \(0\)
• Group: \(C_{12}\)
• Signature: \([ 0; 3, 3, 4, 6, 12 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$12$
Quotient genus:	$0$
Group name:	$C_{12}$
Group identifier:	$[12,2]$
Signature:	$[ 0; 3, 3, 4, 6, 12 ]$

Conjugacy classes for this refined passport:

$3, 4, 5, 7, 10$

Jacobian variety group algebra decomposition:

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

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

12.12-2.0.3-3-4-6-12.3.1

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