One refined passport of genus 3 with automorphism group $C_{12}$

• Label: 3.12-2.0.3-4-12.1
• Genus: \(3\)
• Quotient genus: \(0\)
• Group: \(C_{12}\)
• Signature: \([ 0; 3, 4, 12 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$3$
Quotient genus:	$0$
Group name:	$C_{12}$
Group identifier:	$[12,2]$
Signature:	$[ 0; 3, 4, 12 ]$

Conjugacy classes for this refined passport:

$3, 5, 12$

The full automorphism group for this family is $\SL(2,3):C_2$ with signature $[ 0; 2, 3, 12 ]$.

Jacobian variety group algebra decomposition:

$A_{2}\times E$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

3.12-2.0.3-4-12.1.1

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