One refined passport of genus 11 with automorphism group $C_3\times D_{11}$

• Label: 11.66-2.0.2-6-33.2
• Genus: \(11\)
• Quotient genus: \(0\)
• Group: \(C_3\times D_{11}\)
• Signature: \([ 0; 2, 6, 33 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$11$
Quotient genus:	$0$
Group name:	$C_3\times D_{11}$
Group identifier:	$[66,2]$
Signature:	$[ 0; 2, 6, 33 ]$

Conjugacy classes for this refined passport:

$2, 5, 15$

Jacobian variety group algebra decomposition:	$E\times A_{5}^{2}$
Corresponding character(s):	$4, 12$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

11.66-2.0.2-6-33.2.1

	(1,34) (2,44) (3,43) (4,42) (5,41) (6,40) (7,39) (8,38) (9,37) (10,36) (11,35) (12,45) (13,55) (14,54) (15,53) (16,52) (17,51) (18,50) (19,49) (20,48) (21,47) (22,46) (23,56) (24,66) (25,65) (26,64) (27,63) (28,62) (29,61) (30,60) (31,59) (32,58) (33,57)
	(1,51,23,40,12,62) (2,50,24,39,13,61) (3,49,25,38,14,60) (4,48,26,37,15,59) (5,47,27,36,16,58) (6,46,28,35,17,57) (7,45,29,34,18,56) (8,55,30,44,19,66) (9,54,31,43,20,65) (10,53,32,42,21,64) (11,52,33,41,22,63)
	(1,28,22,5,32,15,9,25,19,2,29,12,6,33,16,10,26,20,3,30,13,7,23,17,11,27,21,4,31,14,8,24,18) (34,61,55,38,65,48,42,58,52,35,62,45,39,66,49,43,59,53,36,63,46,40,56,50,44,60,54,37,64,47,41,57,51)