One refined passport of genus 9 with automorphism group $C_2^2.D_{12}$

• Label: 9.96-13.0.2-4-12.1
• Genus: \(9\)
• Quotient genus: \(0\)
• Group: \(C_2^2.D_{12}\)
• Signature: \([ 0; 2, 4, 12 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$9$
Quotient genus:	$0$
Group name:	$C_2^2.D_{12}$
Group identifier:	$[96,13]$
Signature:	$[ 0; 2, 4, 12 ]$

Conjugacy classes for this refined passport:

$6, 11, 20$

Jacobian variety group algebra decomposition:	$E\times E^{2}\times E^{2}\times E^{4}$
Corresponding character(s):	$5, 13, 15, 20$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

9.96-13.0.2-4-12.1.1

	(1,49) (2,51) (3,50) (4,52) (5,54) (6,53) (7,55) (8,57) (9,56) (10,58) (11,60) (12,59) (13,64) (14,66) (15,65) (16,61) (17,63) (18,62) (19,70) (20,72) (21,71) (22,67) (23,69) (24,68) (25,79) (26,81) (27,80) (28,82) (29,84) (30,83) (31,73) (32,75) (33,74) (34,76) (35,78) (36,77) (37,94) (38,96) (39,95) (40,91) (41,93) (42,92) (43,88) (44,90) (45,89) (46,85) (47,87) (48,86)
	(1,75,22,96) (2,74,23,95) (3,73,24,94) (4,78,19,93) (5,77,20,92) (6,76,21,91) (7,84,16,87) (8,83,17,86) (9,82,18,85) (10,81,13,90) (11,80,14,89) (12,79,15,88) (25,72,46,51) (26,71,47,50) (27,70,48,49) (28,69,43,54) (29,68,44,53) (30,67,45,52) (31,63,40,60) (32,62,41,59) (33,61,42,58) (34,66,37,57) (35,65,38,56) (36,64,39,55)
	(1,38,15,25,2,39,13,26,3,37,14,27) (4,41,18,28,5,42,16,29,6,40,17,30) (7,47,21,34,8,48,19,35,9,46,20,36) (10,44,24,31,11,45,22,32,12,43,23,33) (49,86,63,73,50,87,61,74,51,85,62,75) (52,89,66,76,53,90,64,77,54,88,65,78) (55,95,69,82,56,96,67,83,57,94,68,84) (58,92,72,79,59,93,70,80,60,91,71,81)