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

• Label: 13.64-20.0.4-4-8.22
• 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:

$18, 22, 28$

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.

13.64-20.0.4-4-8.22.1

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