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

• Label: 13.64-20.0.4-4-8.25
• 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:

$19, 21, 27$

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):	$5, 8, 11, 19, 23, 25, 26$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.64-20.0.4-4-8.25.1

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