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

• Label: 14.80-17.0.2-8-20.7
• 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:

$3, 9, 16$

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.

14.80-17.0.2-8-20.7.1

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