One refined passport of genus 15 with automorphism group $C_{31}$

• Label: 15.31-1.0.31-31-31.129
• Genus: \(15\)
• Quotient genus: \(0\)
• Group: \(C_{31}\)
• Signature: \([ 0; 31, 31, 31 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$15$
Quotient genus:	$0$
Group name:	$C_{31}$
Group identifier:	$[31,1]$
Signature:	$[ 0; 31, 31, 31 ]$

Conjugacy classes for this refined passport:

$15, 25, 25$

The full automorphism group for this family is $C_{62}$ with signature $[ 0; 2, 31, 62 ]$.

Jacobian variety group algebra decomposition:

$A_{15}$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

15.31-1.0.31-31-31.129.1

	(1,15,29,12,26,9,23,6,20,3,17,31,14,28,11,25,8,22,5,19,2,16,30,13,27,10,24,7,21,4,18)
	(1,25,18,11,4,28,21,14,7,31,24,17,10,3,27,20,13,6,30,23,16,9,2,26,19,12,5,29,22,15,8)
	(1,25,18,11,4,28,21,14,7,31,24,17,10,3,27,20,13,6,30,23,16,9,2,26,19,12,5,29,22,15,8)