One refined passport of genus 15 with automorphism group $Q_{16}:C_4$

• Label: 15.64-39.0.4-4-16.1
• Genus: \(15\)
• Quotient genus: \(0\)
• Group: \(Q_{16}:C_4\)
• Signature: \([ 0; 4, 4, 16 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$15$
Quotient genus:	$0$
Group name:	$Q_{16}:C_4$
Group identifier:	$[64,39]$
Signature:	$[ 0; 4, 4, 16 ]$

Conjugacy classes for this refined passport:

$7, 9, 16$

Jacobian variety group algebra decomposition:	$E\times E^{2}\times A_{2}^{2}\times A_{8}$
Corresponding character(s):	$6, 12, 15, 16$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

15.64-39.0.4-4-16.1.1

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