Properties

Genus \(13\)
Quotient Genus \(0\)
Group \(C_{12}\times S_3\)
Signature \([ 0; 2, 12, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $C_{12}\times S_3$
Group identifier: [72,27]
Signature: $[ 0; 2, 12, 12 ]$
Conjugacy classes for this refined passport: 3, 29, 36

Jacobian variety group algebra decomposition:$E\times E\times E\times A_{2}\times E^{2}\times E^{2}\times A_{2}^{2}$
Corresponding character(s): 5, 7, 13, 17, 27, 31, 33

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.72-27.0.2-12-12.1.1

  (1,37) (2,39) (3,38) (4,40) (5,42) (6,41) (7,43) (8,45) (9,44) (10,46) (11,48) (12,47) (13,49) (14,51) (15,50) (16,52) (17,54) (18,53) (19,55) (20,57) (21,56) (22,58) (23,60) (24,59) (25,61) (26,63) (27,62) (28,64) (29,66) (30,65) (31,67) (32,69) (33,68) (34,70) (35,72) (36,71)
  (1,26,18,22,8,33,4,29,15,19,11,36) (2,27,16,23,9,31,5,30,13,20,12,34) (3,25,17,24,7,32,6,28,14,21,10,35) (37,62,54,58,44,69,40,65,51,55,47,72) (38,63,52,59,45,67,41,66,49,56,48,70) (39,61,53,60,43,68,42,64,50,57,46,71)
  (1,71,10,56,13,65,4,68,7,59,16,62) (2,70,11,55,14,64,5,67,8,58,17,61) (3,72,12,57,15,66,6,69,9,60,18,63) (19,50,28,41,31,44,22,53,25,38,34,47) (20,49,29,40,32,43,23,52,26,37,35,46) (21,51,30,42,33,45,24,54,27,39,36,48)