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

• Label: 13.64-31.0.2-16-16.4
• 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:

$4, 20, 25$

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.

13.64-31.0.2-16-16.4.1

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