One refined passport of genus 13 with automorphism group $\SL(2,3):C_2^2$

• Label: 13.96-200.0.2-6-12.15
• Genus: \(13\)
• Quotient genus: \(0\)
• Group: \(\SL(2,3):C_2^2\)
• Signature: \([ 0; 2, 6, 12 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$13$
Quotient genus:	$0$
Group name:	$\SL(2,3):C_2^2$
Group identifier:	$[96,200]$
Signature:	$[ 0; 2, 6, 12 ]$

Conjugacy classes for this refined passport:

$6, 20, 21$

Jacobian variety group algebra decomposition:	$E\times E\times E^{2}\times E^{2}\times A_{2}^{2}\times E^{3}$
Corresponding character(s):	$6, 8, 13, 14, 17, 28$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.96-200.0.2-6-12.15.1

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