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

• Label: 13.96-200.0.2-6-12.12
• 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:

$6, 18, 23$

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.

13.96-200.0.2-6-12.12.1

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