One refined passport of genus 13 with automorphism group $C_{27}$

• Label: 13.27-1.0.27-27-27.33
• Genus: \(13\)
• Quotient genus: \(0\)
• Group: \(C_{27}\)
• Signature: \([ 0; 27, 27, 27 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$13$
Quotient genus:	$0$
Group name:	$C_{27}$
Group identifier:	$[27,1]$
Signature:	$[ 0; 27, 27, 27 ]$

Conjugacy classes for this refined passport:

$19, 23, 23$

The full automorphism group for this family is $C_{54}$ with signature $[ 0; 2, 27, 54 ]$.

Jacobian variety group algebra decomposition:

$A_{9}\times A_{3}\times E$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.27-1.0.27-27-27.33.1

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