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

• Label: 13.64-20.0.4-4-8.18
• 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:

$17, 22, 26$

Jacobian variety group algebra decomposition:	$E\times E\times E\times A_{2}\times E^{2}\times A_{2}^{2}\times E^{2}$
Corresponding character(s):	$5, 11, 12, 19, 21, 23, 26$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.64-20.0.4-4-8.18.1

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