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

• Label: 13.64-20.0.4-4-8.7
• 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:

$14, 23, 26$

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.

13.64-20.0.4-4-8.7.1

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