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

• Label: 15.31-1.0.31-31-31.155
• 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:

$19, 23, 23$

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.

15.31-1.0.31-31-31.155.1

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