One refined passport of genus 10 with automorphism group $C_{24}$

• Label: 10.24-2.0.8-12-24.8
• Genus: \(10\)
• Quotient genus: \(0\)
• Group: \(C_{24}\)
• Signature: \([ 0; 8, 12, 24 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$10$
Quotient genus:	$0$
Group name:	$C_{24}$
Group identifier:	$[24,2]$
Signature:	$[ 0; 8, 12, 24 ]$

Conjugacy classes for this refined passport:

$10, 16, 19$

Jacobian variety group algebra decomposition:

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

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

10.24-2.0.8-12-24.8.1

	(1,15,4,13,2,16,3,14) (5,19,8,17,6,20,7,18) (9,23,12,21,10,24,11,22)
	(1,12,6,3,9,8,2,11,5,4,10,7) (13,24,18,15,21,20,14,23,17,16,22,19)
	(1,20,12,14,6,23,3,17,9,16,8,22,2,19,11,13,5,24,4,18,10,15,7,21)