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, 21, 22

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.

7.27-2.0.3-9-9.18.1

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