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

• Label: 13.64-20.0.4-4-8.17
• 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:

$17, 21, 27$

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):	$5, 8, 11, 19, 21, 23, 26$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.64-20.0.4-4-8.17.1

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