One refined passport of genus 3 with automorphism group $C_6$

• Label: 3.6-2.0.2-2-6-6.1
• Genus: \(3\)
• Quotient genus: \(0\)
• Group: \(C_6\)
• Signature: \([ 0; 2, 2, 6, 6 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$3$
Quotient genus:	$0$
Group name:	$C_6$
Group identifier:	$[6,2]$
Signature:	$[ 0; 2, 2, 6, 6 ]$

Conjugacy classes for this refined passport:

$2, 2, 5, 6$

The full automorphism group for this family is $D_6$ with signature $[ 0; 2, 2, 2, 6 ]$.

Jacobian variety group algebra decomposition:

$E\times A_{2}$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

3.6-2.0.2-2-6-6.1.1

	(1,4) (2,5) (3,6)
	(1,4) (2,5) (3,6)
	(1,5,3,4,2,6)
	(1,6,2,4,3,5)