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

• Label: 10.24-2.0.8-12-24.6
• 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:

$10, 14, 23$

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.

10.24-2.0.8-12-24.6.1

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