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

• Label: 13.64-20.0.4-4-8.8
• 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:

$14, 24, 27$

Jacobian variety group algebra decomposition:	$E\times E\times E\times A_{2}\times A_{2}^{2}\times E^{2}\times E^{2}$
Corresponding character(s):	$7, 8, 9, 19, 21, 25, 26$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.64-20.0.4-4-8.8.1

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