One refined passport of genus 13 with automorphism group $D_4\times A_4$

• Label: 13.96-197.0.2-6-12.4
• Genus: \(13\)
• Quotient genus: \(0\)
• Group: \(D_4\times A_4\)
• Signature: \([ 0; 2, 6, 12 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$13$
Quotient genus:	$0$
Group name:	$D_4\times A_4$
Group identifier:	$[96,197]$
Signature:	$[ 0; 2, 6, 12 ]$

Conjugacy classes for this refined passport:

$8, 16, 19$

Jacobian variety group algebra decomposition:	$E\times E\times E^{2}\times E^{3}\times E^{6}$
Corresponding character(s):	$5, 7, 14, 17, 20$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.96-197.0.2-6-12.4.1

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