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

• Label: 13.64-20.0.4-4-8.12
• 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:

$15, 24, 25$

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):	$7, 9, 12, 19, 21, 23, 25$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.64-20.0.4-4-8.12.1

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