One refined passport of genus 15 with automorphism group $C_{40}:C_2$

• Label: 15.80-5.0.2-8-40.6
• Genus: \(15\)
• Quotient genus: \(0\)
• Group: \(C_{40}:C_2\)
• Signature: \([ 0; 2, 8, 40 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$15$
Quotient genus:	$0$
Group name:	$C_{40}:C_2$
Group identifier:	$[80,5]$
Signature:	$[ 0; 2, 8, 40 ]$

Conjugacy classes for this refined passport:

$3, 12, 22$

Jacobian variety group algebra decomposition:	$E\times E^{2}\times A_{2}^{2}\times A_{4}^{2}$
Corresponding character(s):	$6, 9, 15, 19$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

15.80-5.0.2-8-40.6.1

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