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

• Label: 13.96-200.0.2-6-12.9
• 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:

$6, 17, 22$

Jacobian variety group algebra decomposition:	$E\times E\times E^{2}\times E^{2}\times A_{2}^{2}\times E^{3}$
Corresponding character(s):	$6, 8, 13, 14, 18, 28$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.96-200.0.2-6-12.9.1

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