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:

7, 12, 27

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.

7.27-2.0.3-9-9.30.1

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