One refined passport of genus 9 with automorphism group $C_4\times S_4$

• Label: 9.96-186.0.2-4-12.1
• Genus: \(9\)
• Quotient genus: \(0\)
• Group: \(C_4\times S_4\)
• Signature: \([ 0; 2, 4, 12 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$9$
Quotient genus:	$0$
Group name:	$C_4\times S_4$
Group identifier:	$[96,186]$
Signature:	$[ 0; 2, 4, 12 ]$

Conjugacy classes for this refined passport:

$5, 16, 20$

Jacobian variety group algebra decomposition:	$E\times E^{2}\times E^{3}\times E^{3}$
Corresponding character(s):	$5, 11, 16, 17$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

9.96-186.0.2-4-12.1.1

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