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

• Label: 15.31-1.0.31-31-31.116
• 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:

$13, 26, 26$

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.

15.31-1.0.31-31-31.116.1

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