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

• Label: 13.96-200.0.2-6-12.14
• 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:

$6, 19, 24$

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

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.96-200.0.2-6-12.14.1

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