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

• Label: 13.64-20.0.4-4-8.30
• 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:

$20, 22, 28$

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

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.64-20.0.4-4-8.30.1

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