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:

5, 13, 18

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.

7.27-2.0.3-9-9.13.1

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