Family of genus 4 curves with automorphism group $\SD_{32}$

• Label: 4.32-19.0.2-4-16
• Genus: \(4\)
• Quotient genus: \(0\)
• Group: \(\SD_{32}\)
• Signature: \([ 0; 2, 4, 16 ]\)

Family Information

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

Cover

Quotient genus:	$0$
Number of branch points:	$3$
Signature:	$[ 0; 2, 4, 16 ]$

Group

Name:	$\SD_{32}$
Identifier:	$[32,19]$

Conjugacy class(es) of Refined passports

Refined passport label	Conjugacy classes
4.32-19.0.2-4-16.1	3, 5, 8
4.32-19.0.2-4-16.2	3, 5, 9
4.32-19.0.2-4-16.3	3, 5, 10
4.32-19.0.2-4-16.4	3, 5, 11

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

4.32-19.0.2-4-16.1.1

	(1,9) (2,10) (3,12) (4,11) (5,15) (6,16) (7,13) (8,14) (17,25) (18,26) (19,28) (20,27) (21,31) (22,32) (23,29) (24,30)
	(1,18,2,17) (3,19,4,20) (5,24,6,23) (7,22,8,21) (9,30,10,29) (11,31,12,32) (13,26,14,25) (15,27,16,28)
	(1,25,8,32,3,27,5,29,2,26,7,31,4,28,6,30) (9,23,16,20,11,22,13,17,10,24,15,19,12,21,14,18)