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

• Label: 15.80-5.0.2-8-40.7
• 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:

$3, 12, 23$

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.

15.80-5.0.2-8-40.7.1

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