Properties

Genus \(10\)
Quotient Genus \(0\)
Group \(C_{33}\)
Signature \([ 0; 3, 11, 33 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 10
Quotient Genus: 0
Group name: $C_{33}$
Group identifier: [33,1]
Signature: $[ 0; 3, 11, 33 ]$
Conjugacy classes for this refined passport: 2, 4, 33

Jacobian variety group algebra decomposition:$A_{10}$
Corresponding character(s): 5

Other Data

Hyperelliptic curve(s):No
Cyclic trigonal curve(s):Yes
Trigonal automorphism: (1,12,23) (2,13,24) (3,14,25) (4,15,26) (5,16,27) (6,17,28) (7,18,29) (8,19,30) (9,20,31) (10,21,32) (11,22,33)

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

10.33-1.0.3-11-33.1.1

  (1,12,23) (2,13,24) (3,14,25) (4,15,26) (5,16,27) (6,17,28) (7,18,29) (8,19,30) (9,20,31) (10,21,32) (11,22,33)
  (1,2,3,4,5,6,7,8,9,10,11) (12,13,14,15,16,17,18,19,20,21,22) (23,24,25,26,27,28,29,30,31,32,33)
  (1,33,21,9,30,18,6,27,15,3,24,12,11,32,20,8,29,17,5,26,14,2,23,22,10,31,19,7,28,16,4,25,13)