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

• Label: 13.64-31.0.2-16-16.7
• 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:

$4, 23, 26$

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.

13.64-31.0.2-16-16.7.1

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