One Refined Passport of Genus 4 with Automorphism Group $C_2\times C_6$

• Genus: \(4\)
• Quotient Genus: \(0\)
• Group: \(C_2\times C_6\)
• Signature: \([ 0; 6, 6, 6 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	4
Quotient Genus:	0
Group name:	$C_2\times C_6$
Group identifier:	[12,5]
Signature:	$[ 0; 6, 6, 6 ]$

Conjugacy classes for this refined passport:

8, 10, 12

The full automorphism group for this family is $C_3\times S_4$ with signature $[ 0; 2, 3, 12 ]$.

Jacobian variety group algebra decomposition:	$E\times E\times E\times E$
Corresponding character(s):	5, 6, 7, 8

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

4.12-5.0.6-6-6.2.1

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