One refined passport of genus 2 with automorphism group $C_2\times C_6$

• Label: 2.12-5.0.2-6-6.6
• 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:

$4, 8, 9$

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.

2.12-5.0.2-6-6.6.1

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