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

• Label: 13.64-20.0.4-4-8.26
• 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:

$19, 22, 26$

Jacobian variety group algebra decomposition:	$E\times E\times E\times A_{2}\times E^{2}\times E^{2}\times A_{2}^{2}$
Corresponding character(s):	$5, 11, 12, 19, 23, 25, 26$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.64-20.0.4-4-8.26.1

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