Family of genus 4 curves with automorphism group $C_9$

• Label: 4.9-1.0.9-9-9
• Genus: \(4\)
• Quotient genus: \(0\)
• Group: \(C_9\)
• Signature: \([ 0; 9, 9, 9 ]\)

Family Information

Genus:	$4$
Dimension of the family:	$0$

Cover

Quotient genus:	$0$
Number of branch points:	$3$
Signature:	$[ 0; 9, 9, 9 ]$

Group

Name:	$C_9$
Identifier:	$[9,1]$

Conjugacy class(es) of Refined passports

Refined passport label	Conjugacy classes
4.9-1.0.9-9-9.1	4, 4, 8
4.9-1.0.9-9-9.2	4, 6, 6
4.9-1.0.9-9-9.3	5, 5, 7
4.9-1.0.9-9-9.4	5, 9, 9
4.9-1.0.9-9-9.5	6, 8, 8
4.9-1.0.9-9-9.6	7, 7, 9

Displaying the representative for the unique action up to topological equivalence.

4.9-1.0.9-9-9.1.1

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