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

• Label: 13.96-200.0.2-6-12.2
• 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:

$5, 17, 28$

Jacobian variety group algebra decomposition:	$E\times E\times E^{2}\times E^{2}\times A_{2}^{2}\times E^{3}$
Corresponding character(s):	$5, 8, 13, 14, 18, 26$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.96-200.0.2-6-12.2.1

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