One refined passport of genus 11 with automorphism group $C_4.D_8$

• Label: 11.64-40.0.2-8-16.1
• Genus: \(11\)
• Quotient genus: \(0\)
• Group: \(C_4.D_8\)
• Signature: \([ 0; 2, 8, 16 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$11$
Quotient genus:	$0$
Group name:	$C_4.D_8$
Group identifier:	$[64,40]$
Signature:	$[ 0; 2, 8, 16 ]$

Conjugacy classes for this refined passport:

$4, 13, 16$

Jacobian variety group algebra decomposition:	$E\times E^{2}\times A_{4}^{2}$
Corresponding character(s):	$5, 11, 15$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

11.64-40.0.2-8-16.1.1

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