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

• Label: 15.96-12.0.2-8-12.3
• 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:

$4, 17, 29$

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):	$5, 13, 15, 16, 21, 22$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

15.96-12.0.2-8-12.3.1

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