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

• Label: 13.64-20.0.4-4-8.14
• 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:

$16, 22, 25$

Jacobian variety group algebra decomposition:	$E\times E\times E\times A_{2}\times A_{2}^{2}\times E^{2}\times E^{2}$
Corresponding character(s):	$9, 11, 12, 19, 23, 25, 26$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.64-20.0.4-4-8.14.1

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