One refined passport of genus 15 with automorphism group $C_2\times C_4$

• Label: 15.8-2.0.2-2-2-2-2-2-2-2-4-4.84
• Genus: \(15\)
• Quotient genus: \(0\)
• Group: \(C_2\times C_4\)
• Signature: \([ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$15$
Quotient genus:	$0$
Group name:	$C_2\times C_4$
Group identifier:	$[8,2]$
Signature:	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$

Conjugacy classes for this refined passport:

$3, 3, 3, 3, 3, 3, 3, 3, 7, 8$

Jacobian variety group algebra decomposition:	$A_{4}\times A_{8}\times A_{3}$
Corresponding character(s):	$2, 4, 6$

Other Data

Hyperelliptic curve(s):	yes
Hyperelliptic involution:	(1,3) (2,4) (5,7) (6,8)
Cyclic trigonal curve(s):	no

Generating vector(s)

Displaying the unique generating vector for this refined passport.

15.8-2.0.2-2-2-2-2-2-2-2-4-4.84.1

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