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

• Label: 13.64-20.0.4-4-8.13
• 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:

$16, 21, 28$

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):	$8, 9, 11, 19, 23, 25, 26$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.64-20.0.4-4-8.13.1

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