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

• Label: 13.64-20.0.4-4-8.31
• 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:

$20, 23, 27$

Jacobian variety group algebra decomposition:	$E\times E\times E\times A_{2}\times E^{2}\times A_{2}^{2}\times E^{2}$
Corresponding character(s):	$5, 7, 8, 19, 21, 25, 26$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.64-20.0.4-4-8.31.1

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