One refined passport of genus 4 with automorphism group $C_{10}$

• Label: 4.10-2.0.5-10-10.2
• Genus: \(4\)
• Quotient genus: \(0\)
• Group: \(C_{10}\)
• Signature: \([ 0; 5, 10, 10 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$4$
Quotient genus:	$0$
Group name:	$C_{10}$
Group identifier:	$[10,2]$
Signature:	$[ 0; 5, 10, 10 ]$

Conjugacy classes for this refined passport:

$3, 9, 9$

The full automorphism group for this family is $C_5:D_4$ with signature $[ 0; 2, 4, 10 ]$.

Jacobian variety group algebra decomposition:

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

4.10-2.0.5-10-10.2.1

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