One refined passport of genus 13 with automorphism group $C_2^2.D_8$

• Label: 13.64-8.0.4-4-8.1
• Genus: \(13\)
• Quotient genus: \(0\)
• Group: \(C_2^2.D_8\)
• Signature: \([ 0; 4, 4, 8 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$13$
Quotient genus:	$0$
Group name:	$C_2^2.D_8$
Group identifier:	$[64,8]$
Signature:	$[ 0; 4, 4, 8 ]$

Conjugacy classes for this refined passport:

$11, 15, 16$

Jacobian variety group algebra decomposition:	$E\times A_{2}^{2}\times E^{2}\times E^{2}\times E^{4}$
Corresponding character(s):	$6, 11, 12, 16, 19$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.64-8.0.4-4-8.1.1

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