One refined passport of genus 12 with automorphism group $C_4$

• Label: 12.4-1.0.2-2-2-4-4-4-4-4-4-4-4.1
• Genus: \(12\)
• Quotient genus: \(0\)
• Group: \(C_4\)
• Signature: \([ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$12$
Quotient genus:	$0$
Group name:	$C_4$
Group identifier:	$[4,1]$
Signature:	$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4 ]$

Conjugacy classes for this refined passport:

$2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4$

Jacobian variety group algebra decomposition:	$A_{9}\times A_{3}$
Corresponding character(s):	$2, 3$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

12.4-1.0.2-2-2-4-4-4-4-4-4-4-4.1.1

	(1,2) (3,4)
	(1,2) (3,4)
	(1,2) (3,4)
	(1,3,2,4)
	(1,3,2,4)
	(1,3,2,4)
	(1,3,2,4)
	(1,3,2,4)
	(1,3,2,4)
	(1,3,2,4)
	(1,4,2,3)