One refined passport of genus 4 with automorphism group $C_2^2$

• Label: 4.4-2.0.2-2-2-2-2-2-2.5
• Genus: \(4\)
• Quotient genus: \(0\)
• Group: \(C_2^2\)
• Signature: \([ 0; 2, 2, 2, 2, 2, 2, 2 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$4$
Quotient genus:	$0$
Group name:	$C_2^2$
Group identifier:	$[4,2]$
Signature:	$[ 0; 2, 2, 2, 2, 2, 2, 2 ]$

Conjugacy classes for this refined passport:

$2, 3, 3, 3, 4, 4, 4$

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

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

4.4-2.0.2-2-2-2-2-2-2.5.1

	(1,2) (3,4)
	(1,3) (2,4)
	(1,3) (2,4)
	(1,3) (2,4)
	(1,4) (2,3)
	(1,4) (2,3)
	(1,4) (2,3)