One refined passport of genus 7 with automorphism group $C_{15}$

• Label: 7.15-1.0.15-15-15.7
• Genus: \(7\)
• Quotient genus: \(0\)
• Group: \(C_{15}\)
• Signature: \([ 0; 15, 15, 15 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$7$
Quotient genus:	$0$
Group name:	$C_{15}$
Group identifier:	$[15,1]$
Signature:	$[ 0; 15, 15, 15 ]$

Conjugacy classes for this refined passport:

$12, 12, 15$

The full automorphism group for this family is $C_{30}$ with signature $[ 0; 2, 15, 30 ]$.

Jacobian variety group algebra decomposition:

$E\times A_{2}\times A_{4}$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

7.15-1.0.15-15-15.7.1

	(1,14,7,5,13,6,4,12,10,3,11,9,2,15,8)
	(1,14,7,5,13,6,4,12,10,3,11,9,2,15,8)
	(1,15,9,3,12,6,5,14,8,2,11,10,4,13,7)