One Refined Passport of Genus 2 with Automorphism Group $C_2\times C_6$

• Genus: \(2\)
• Quotient Genus: \(0\)
• Group: \(C_2\times C_6\)
• Signature: \([ 0; 2, 6, 6 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	2
Quotient Genus:	0
Group name:	$C_2\times C_6$
Group identifier:	[12,5]
Signature:	$[ 0; 2, 6, 6 ]$

Conjugacy classes for this refined passport:

2, 10, 11

The full automorphism group for this family is $C_3:D_4$ with signature $[ 0; 2, 4, 6 ]$.

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

2.12-5.0.2-6-6.2.1

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