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

• Label: 13.64-20.0.4-4-8.29
• 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:

$20, 21, 25$

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.

13.64-20.0.4-4-8.29.1

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