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

• Label: 5.12-2.0.6-12-12.3
• 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:

$8, 10, 10$

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.

5.12-2.0.6-12-12.3.1

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