One refined passport of genus 13 with automorphism group $S_3\times C_{12}$

• Label: 13.72-27.0.2-12-12.6
• Genus: \(13\)
• Quotient genus: \(0\)
• Group: \(S_3\times C_{12}\)
• Signature: \([ 0; 2, 12, 12 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$13$
Quotient genus:	$0$
Group name:	$S_3\times C_{12}$
Group identifier:	$[72,27]$
Signature:	$[ 0; 2, 12, 12 ]$

Conjugacy classes for this refined passport:

$4, 30, 33$

Jacobian variety group algebra decomposition:	$E\times E\times E\times A_{2}\times E^{2}\times E^{2}\times A_{2}^{2}$
Corresponding character(s):	$5, 7, 14, 18, 27, 31, 33$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.72-27.0.2-12-12.6.1

	(1,40) (2,42) (3,41) (4,37) (5,39) (6,38) (7,46) (8,48) (9,47) (10,43) (11,45) (12,44) (13,52) (14,54) (15,53) (16,49) (17,51) (18,50) (19,58) (20,60) (21,59) (22,55) (23,57) (24,56) (25,64) (26,66) (27,65) (28,61) (29,63) (30,62) (31,70) (32,72) (33,71) (34,67) (35,69) (36,68)
	(1,33,11,22,15,26,4,36,8,19,18,29) (2,31,12,23,13,27,5,34,9,20,16,30) (3,32,10,24,14,25,6,35,7,21,17,28) (37,69,47,58,51,62,40,72,44,55,54,65) (38,67,48,59,49,63,41,70,45,56,52,66) (39,68,46,60,50,61,42,71,43,57,53,64)
	(1,63,16,60,7,69,4,66,13,57,10,72) (2,62,17,59,8,68,5,65,14,56,11,71) (3,61,18,58,9,67,6,64,15,55,12,70) (19,48,34,39,25,54,22,45,31,42,28,51) (20,47,35,38,26,53,23,44,32,41,29,50) (21,46,36,37,27,52,24,43,33,40,30,49)