One refined passport of genus 6 with automorphism group $C_{10}$

• Label: 6.10-2.0.2-5-5-10.8
• Genus: \(6\)
• Quotient genus: \(0\)
• Group: \(C_{10}\)
• Signature: \([ 0; 2, 5, 5, 10 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$6$
Quotient genus:	$0$
Group name:	$C_{10}$
Group identifier:	$[10,2]$
Signature:	$[ 0; 2, 5, 5, 10 ]$

Conjugacy classes for this refined passport:

$2, 6, 6, 9$

Jacobian variety group algebra decomposition:

$A_{2}\times A_{4}$

Other Data

Hyperelliptic curve(s):	no
Cyclic trigonal curve(s):	no

Generating vector(s)

Displaying the unique generating vector for this refined passport.

6.10-2.0.2-5-5-10.8.1

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