One refined passport of genus 13 with automorphism group $C_{14}$

• Label: 13.14-2.0.2-2-2-2-7-7.3
• Genus: \(13\)
• Quotient genus: \(0\)
• Group: \(C_{14}\)
• Signature: \([ 0; 2, 2, 2, 2, 7, 7 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$13$
Quotient genus:	$0$
Group name:	$C_{14}$
Group identifier:	$[14,2]$
Signature:	$[ 0; 2, 2, 2, 2, 7, 7 ]$

Conjugacy classes for this refined passport:

$2, 2, 2, 2, 5, 6$

Jacobian variety group algebra decomposition:

$E\times A_{12}$

Other Data

Hyperelliptic curve(s):	yes
Hyperelliptic involution:	(1,8) (2,9) (3,10) (4,11) (5,12) (6,13) (7,14)
Cyclic trigonal curve(s):	no

Equation(s) of curve(s) in this refined passport:

$y^2=x^{28}+a_{1}x^{21}+a_{2}x^{14}+a_{3}x^{7}+1$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.14-2.0.2-2-2-2-7-7.3.1

	(1,8) (2,9) (3,10) (4,11) (5,12) (6,13) (7,14)
	(1,8) (2,9) (3,10) (4,11) (5,12) (6,13) (7,14)
	(1,8) (2,9) (3,10) (4,11) (5,12) (6,13) (7,14)
	(1,8) (2,9) (3,10) (4,11) (5,12) (6,13) (7,14)
	(1,4,7,3,6,2,5) (8,11,14,10,13,9,12)
	(1,5,2,6,3,7,4) (8,12,9,13,10,14,11)