Properties

Genus \(13\)
Quotient Genus \(0\)
Group \(C_{36}\)
Signature \([ 0; 4, 18, 36 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $C_{36}$
Group identifier: [36,2]
Signature: $[ 0; 4, 18, 36 ]$
Conjugacy classes for this refined passport: 5, 19, 30

Jacobian variety group algebra decomposition:$E\times A_{6}\times A_{3}\times A_{2}\times E$
Corresponding character(s): 2, 6, 7, 14, 15

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.36-2.0.4-18-36.1.1

  (1,19,4,22) (2,20,5,23) (3,21,6,24) (7,25,10,28) (8,26,11,29) (9,27,12,30) (13,31,16,34) (14,32,17,35) (15,33,18,36)
  (1,10,13,5,8,17,3,12,15,4,7,16,2,11,14,6,9,18) (19,28,31,23,26,35,21,30,33,22,25,34,20,29,32,24,27,36)
  (1,33,12,24,14,26,5,34,7,19,18,30,3,32,11,23,13,25,4,36,9,21,17,29,2,31,10,22,15,27,6,35,8,20,16,28)