One refined passport of genus 13 with automorphism group $C_2^2:C_{18}$

• Label: 13.72-16.0.2-9-18.1
• Genus: \(13\)
• Quotient genus: \(0\)
• Group: \(C_2^2:C_{18}\)
• Signature: \([ 0; 2, 9, 18 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$13$
Quotient genus:	$0$
Group name:	$C_2^2:C_{18}$
Group identifier:	$[72,16]$
Signature:	$[ 0; 2, 9, 18 ]$

Conjugacy classes for this refined passport:

$4, 13, 24$

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

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.72-16.0.2-9-18.1.1

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