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

• Label: 15.80-5.0.2-8-40.3
• 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:

$3, 11, 24$

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.

15.80-5.0.2-8-40.3.1

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