One refined passport of genus 15 with automorphism group $D_8:C_4$

• Label: 15.64-41.0.4-4-16.1
• Genus: \(15\)
• Quotient genus: \(0\)
• Group: \(D_8:C_4\)
• Signature: \([ 0; 4, 4, 16 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$15$
Quotient genus:	$0$
Group name:	$D_8:C_4$
Group identifier:	$[64,41]$
Signature:	$[ 0; 4, 4, 16 ]$

Conjugacy classes for this refined passport:

$7, 8, 13$

Jacobian variety group algebra decomposition:	$E\times E^{2}\times A_{3}^{4}$
Corresponding character(s):	$5, 12, 15$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

15.64-41.0.4-4-16.1.1

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