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

• Label: 13.64-20.0.4-4-8.4
• 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:

$13, 24, 25$

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):	$7, 9, 12, 19, 21, 25, 26$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.64-20.0.4-4-8.4.1

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