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

• Label: 14.80-17.0.2-8-20.8
• 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:

$3, 9, 17$

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.

14.80-17.0.2-8-20.8.1

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