One refined passport of genus 13 with automorphism group $C_2^3.D_4$

• Label: 13.64-33.0.4-4-8.1
• Genus: \(13\)
• Quotient genus: \(0\)
• Group: \(C_2^3.D_4\)
• Signature: \([ 0; 4, 4, 8 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$13$
Quotient genus:	$0$
Group name:	$C_2^3.D_4$
Group identifier:	$[64,33]$
Signature:	$[ 0; 4, 4, 8 ]$

Conjugacy classes for this refined passport:

$7, 10, 13$

Jacobian variety group algebra decomposition:	$E\times A_{3}^{4}$
Corresponding character(s):	$6, 12$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.64-33.0.4-4-8.1.1

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