One refined passport of genus 15 with automorphism group $\SL(2,3):C_4$

• Label: 15.96-66.0.3-4-8.1
• Genus: \(15\)
• Quotient genus: \(0\)
• Group: \(\SL(2,3):C_4\)
• Signature: \([ 0; 3, 4, 8 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$15$
Quotient genus:	$0$
Group name:	$\SL(2,3):C_4$
Group identifier:	$[96,66]$
Signature:	$[ 0; 3, 4, 8 ]$

Conjugacy classes for this refined passport:

$5, 8, 14$

Jacobian variety group algebra decomposition:	$A_{2}\times A_{4}\times E^{2}\times E^{3}\times A_{2}^{2}$
Corresponding character(s):	$5, 7, 8, 13, 15$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

15.96-66.0.3-4-8.1.1

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