One refined passport of genus 8 with automorphism group $C_2$

• Label: 8.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1
• Genus: \(8\)
• Quotient genus: \(0\)
• Group: \(C_2\)
• Signature: \([ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$8$
Quotient genus:	$0$
Group name:	$C_2$
Group identifier:	$[2,1]$
Signature:	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$

Conjugacy classes for this refined passport:

$2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2$

Jacobian variety group algebra decomposition:

$A_{8}$

Other Data

Hyperelliptic curve(s):	yes
Hyperelliptic involution:	(1,2)
Cyclic trigonal curve(s):	no

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

$y^2=x(x^{16}+a_{1}x^{15}+a_{2}x^{14}+a_{3}x^{13}+a_{4}x^{12}+a_{5}x^{11}+a_{6}x^{10}+a_{7}x^{9}+a_{8}x^{8}+a_{9}x^{7}+a_{10}x^{6}+a_{11}x^{5}+a_{12}x^{4}+a_{13}x^{3}+a_{14}x^{2}+a_{15}x + 1)$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

8.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1.1

	(1,2)
	(1,2)
	(1,2)
	(1,2)
	(1,2)
	(1,2)
	(1,2)
	(1,2)
	(1,2)
	(1,2)
	(1,2)
	(1,2)
	(1,2)
	(1,2)
	(1,2)
	(1,2)
	(1,2)
	(1,2)