One refined passport of genus 7 with automorphism group $C_9:C_6$

• Label: 7.54-6.0.2-6-9.1
• Genus: \(7\)
• Quotient genus: \(0\)
• Group: \(C_9:C_6\)
• Signature: \([ 0; 2, 6, 9 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$7$
Quotient genus:	$0$
Group name:	$C_9:C_6$
Group identifier:	$[54,6]$
Signature:	$[ 0; 2, 6, 9 ]$

Conjugacy classes for this refined passport:

$2, 6, 10$

Jacobian variety group algebra decomposition:	$E\times E^{6}$
Corresponding character(s):	$3, 10$

Other Data

Hyperelliptic curve(s):	no
Cyclic trigonal curve(s):	no

Generating vector(s)

Displaying the unique generating vector for this refined passport.

7.54-6.0.2-6-9.1.1

	(1,28) (2,30) (3,29) (4,35) (5,34) (6,36) (7,32) (8,31) (9,33) (10,37) (11,39) (12,38) (13,44) (14,43) (15,45) (16,41) (17,40) (18,42) (19,46) (20,48) (21,47) (22,53) (23,52) (24,54) (25,50) (26,49) (27,51)
	(1,44,20,34,12,54) (2,43,21,36,10,53) (3,45,19,35,11,52) (4,40,22,31,13,49) (5,42,23,33,14,51) (6,41,24,32,15,50) (7,39,27,28,17,47) (8,38,25,30,18,46) (9,37,26,29,16,48)
	(1,24,16,3,23,18,2,22,17) (4,26,10,6,25,12,5,27,11) (7,21,14,9,20,13,8,19,15) (28,51,43,30,50,45,29,49,44) (31,53,37,33,52,39,32,54,38) (34,48,41,36,47,40,35,46,42)