One refined passport of genus 15 with automorphism group $\GL(2,3):C_2$

• Label: 15.96-193.0.2-8-12.1
• Genus: \(15\)
• Quotient genus: \(0\)
• Group: \(\GL(2,3):C_2\)
• Signature: \([ 0; 2, 8, 12 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$15$
Quotient genus:	$0$
Group name:	$\GL(2,3):C_2$
Group identifier:	$[96,193]$
Signature:	$[ 0; 2, 8, 12 ]$

Conjugacy classes for this refined passport:

$4, 11, 12$

Jacobian variety group algebra decomposition:	$E^{3}\times E^{4}\times A_{2}^{4}$
Corresponding character(s):	$9, 11, 12$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

15.96-193.0.2-8-12.1.1

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