One refined passport of genus 13 with automorphism group $\OD_{32}:C_2$

• Label: 13.64-31.0.2-16-16.5
• Genus: \(13\)
• Quotient genus: \(0\)
• Group: \(\OD_{32}:C_2\)
• Signature: \([ 0; 2, 16, 16 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$13$
Quotient genus:	$0$
Group name:	$\OD_{32}:C_2$
Group identifier:	$[64,31]$
Signature:	$[ 0; 2, 16, 16 ]$

Conjugacy classes for this refined passport:

$4, 21, 28$

Jacobian variety group algebra decomposition:	$E\times A_{2}\times E^{2}\times A_{4}^{2}$
Corresponding character(s):	$7, 9, 19, 21$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.64-31.0.2-16-16.5.1

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