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

• Label: 15.31-1.0.31-31-31.27
• 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:

$3, 14, 17$

Jacobian variety group algebra decomposition:

$A_{15}$

Other Data

Hyperelliptic curve(s):	no
Cyclic trigonal curve(s):	no

Generating vector(s)

Displaying the unique generating vector for this refined passport.

15.31-1.0.31-31-31.27.1

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