One refined passport of genus 13 with automorphism group $C_4^2:C_4$

• Label: 13.64-20.0.4-4-8.6
• Genus: \(13\)
• Quotient genus: \(0\)
• Group: \(C_4^2:C_4\)
• Signature: \([ 0; 4, 4, 8 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$13$
Quotient genus:	$0$
Group name:	$C_4^2:C_4$
Group identifier:	$[64,20]$
Signature:	$[ 0; 4, 4, 8 ]$

Conjugacy classes for this refined passport:

$14, 22, 25$

Jacobian variety group algebra decomposition:	$E\times E\times E\times A_{2}\times E^{2}\times E^{2}\times A_{2}^{2}$
Corresponding character(s):	$9, 11, 12, 19, 21, 23, 26$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.64-20.0.4-4-8.6.1

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