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

• Label: 15.31-1.0.31-31-31.46
• 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:

$5, 8, 21$

The full automorphism group for this family is $C_{31}:C_3$ with signature $[ 0; 3, 3, 31 ]$.

Jacobian variety group algebra decomposition:

$A_{15}$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

15.31-1.0.31-31-31.46.1

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