One refined passport of genus 13 with automorphism group $C_2\times C_4$

• Label: 13.8-2.0.2-2-2-2-2-2-2-4-4.12
• Genus: \(13\)
• Quotient genus: \(0\)
• Group: \(C_2\times C_4\)
• Signature: \([ 0; 2, 2, 2, 2, 2, 2, 2, 4, 4 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$13$
Quotient genus:	$0$
Group name:	$C_2\times C_4$
Group identifier:	$[8,2]$
Signature:	$[ 0; 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$

Conjugacy classes for this refined passport:

$2, 2, 2, 2, 2, 4, 4, 6, 6$

Jacobian variety group algebra decomposition:	$A_{7}\times A_{5}\times E$
Corresponding character(s):	$3, 4, 6$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.8-2.0.2-2-2-2-2-2-2-4-4.12.1

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