One refined passport of genus 13 with automorphism group $C_6\times A_4$

• Label: 13.72-47.0.3-6-6.11
• Genus: \(13\)
• Quotient genus: \(0\)
• Group: \(C_6\times A_4\)
• Signature: \([ 0; 3, 6, 6 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$13$
Quotient genus:	$0$
Group name:	$C_6\times A_4$
Group identifier:	$[72,47]$
Signature:	$[ 0; 3, 6, 6 ]$

Conjugacy classes for this refined passport:

$10, 18, 23$

Jacobian variety group algebra decomposition:	$E\times E\times E\times E\times A_{2}^{3}\times E^{3}$
Corresponding character(s):	$3, 4, 5, 8, 21, 22$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.72-47.0.3-6-6.11.1

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