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

• Label: 15.80-5.0.2-8-40.5
• 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:

$3, 12, 19$

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.

15.80-5.0.2-8-40.5.1

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