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

• Label: 13.96-200.0.2-6-12.11
• 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:

$6, 18, 21$

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

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.96-200.0.2-6-12.11.1

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