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

• Label: 15.31-1.0.31-31-31.55
• 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:

$6, 6, 22$

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.

15.31-1.0.31-31-31.55.1

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