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

• Label: 13.64-20.0.4-4-8.10
• 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:

$15, 22, 27$

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.

13.64-20.0.4-4-8.10.1

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