One Refined Passport of Genus 7 with Automorphism Group $C_3\times C_9$

• Genus: \(7\)
• Quotient Genus: \(0\)
• Group: \(C_3\times C_9\)
• Signature: \([ 0; 3, 9, 9 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	7
Quotient Genus:	0
Group name:	$C_3\times C_9$
Group identifier:	[27,2]
Signature:	$[ 0; 3, 9, 9 ]$

Conjugacy classes for this refined passport:

6, 18, 23

The full automorphism group for this family is $C_3\times D_9$ with signature $[ 0; 2, 6, 9 ]$.

Jacobian variety group algebra decomposition:	$A_{3}\times A_{3}\times E$
Corresponding character(s):	5, 6, 11

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

7.27-2.0.3-9-9.26.1

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