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

• Label: 15.31-1.0.31-31-31.17
• 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:

$3, 4, 27$

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.

15.31-1.0.31-31-31.17.1

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