One Refined Passport of Genus 12 with Automorphism Group $C_4$

• 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)