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

• Label: 14.80-17.0.2-8-20.4
• 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:

$3, 8, 17$

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.

14.80-17.0.2-8-20.4.1

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