One refined passport of genus 14 with automorphism group $Q_8:D_5$

• Label: 14.80-17.0.2-8-20.5
• Genus: \(14\)
• Quotient genus: \(0\)
• Group: \(Q_8:D_5\)
• Signature: \([ 0; 2, 8, 20 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$14$
Quotient genus:	$0$
Group name:	$Q_8:D_5$
Group identifier:	$[80,17]$
Signature:	$[ 0; 2, 8, 20 ]$

Conjugacy classes for this refined passport:

$3, 9, 14$

Jacobian variety group algebra decomposition:	$A_{2}^{2}\times E^{2}\times A_{4}^{2}$
Corresponding character(s):	$6, 14, 16$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

14.80-17.0.2-8-20.5.1

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