Properties

Label 11.66-2.0.2-6-33.1
Genus \(11\)
Quotient genus \(0\)
Group \(C_3\times D_{11}\)
Signature \([ 0; 2, 6, 33 ]\)
Generating Vectors \(1\)

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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: $2, 5, 13$

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.

11.66-2.0.2-6-33.1.1

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