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

• Label: 13.96-200.0.2-6-12.5
• 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:

$5, 19, 26$

Jacobian variety group algebra decomposition:	$E\times E\times E^{2}\times E^{2}\times A_{2}^{2}\times E^{3}$
Corresponding character(s):	$5, 8, 13, 14, 17, 26$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.96-200.0.2-6-12.5.1

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