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

• Label: 13.64-33.0.4-4-8.2
• 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:

$7, 11, 12$

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.

13.64-33.0.4-4-8.2.1

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