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

• Label: 13.64-31.0.2-16-16.1
• 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:

$4, 17, 28$

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.

13.64-31.0.2-16-16.1.1

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