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

• Label: 13.96-200.0.2-6-12.10
• 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:

$6, 17, 24$

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.

13.96-200.0.2-6-12.10.1

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