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

• Label: 13.64-20.0.4-4-8.11
• 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:

$15, 23, 28$

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):	$7, 8, 9, 19, 21, 23, 25$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.64-20.0.4-4-8.11.1

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