One refined passport of genus 15 with automorphism group $D_{12}:C_4$

• Label: 15.96-12.0.2-8-12.5
• Genus: \(15\)
• Quotient genus: \(0\)
• Group: \(D_{12}:C_4\)
• Signature: \([ 0; 2, 8, 12 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$15$
Quotient genus:	$0$
Group name:	$D_{12}:C_4$
Group identifier:	$[96,12]$
Signature:	$[ 0; 2, 8, 12 ]$

Conjugacy classes for this refined passport:

$4, 18, 23$

Jacobian variety group algebra decomposition:	$E\times E^{2}\times E^{2}\times E^{2}\times A_{2}^{2}\times A_{2}^{2}$
Corresponding character(s):	$5, 13, 16, 17, 21, 22$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

15.96-12.0.2-8-12.5.1

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