One refined passport of genus 5 with automorphism group $C_{12}$

• Label: 5.12-2.0.6-12-12.2
• Genus: \(5\)
• Quotient genus: \(0\)
• Group: \(C_{12}\)
• Signature: \([ 0; 6, 12, 12 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$5$
Quotient genus:	$0$
Group name:	$C_{12}$
Group identifier:	$[12,2]$
Signature:	$[ 0; 6, 12, 12 ]$

Conjugacy classes for this refined passport:

$7, 11, 11$

The full automorphism group for this family is $D_6:C_4$ with signature $[ 0; 2, 4, 12 ]$.

Jacobian variety group algebra decomposition:

$E\times E\times A_{2}\times E$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

5.12-2.0.6-12-12.2.1

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