One refined passport of genus 4 with automorphism group $C_5$

• Label: 4.5-1.0.5-5-5-5.4
• Genus: \(4\)
• Quotient genus: \(0\)
• Group: \(C_5\)
• Signature: \([ 0; 5, 5, 5, 5 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$4$
Quotient genus:	$0$
Group name:	$C_5$
Group identifier:	$[5,1]$
Signature:	$[ 0; 5, 5, 5, 5 ]$

Conjugacy classes for this refined passport:

$2, 4, 4, 4$

The full automorphism group for this family is $D_{10}$ with signature $[ 0; 2, 2, 2, 5 ]$.

Jacobian variety group algebra decomposition:

$A_{4}$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

4.5-1.0.5-5-5-5.4.1

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