Properties

Genus \(8\)
Small Group \(C_{17}\)
Signature \([ 0; 17, 17, 17 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 8
Group name: $C_{17}$
Group identifier: [17,1]
Signature: $[ 0; 17, 17, 17 ]$
Conjugacy classes for this refined passport: 2, 3, 15

Jacobian variety group algebra decomposition:$A_{8}$
Corresponding character(s): 2

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

8.17-1.0.17-17-17.2.1

  (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17)
  (1,3,5,7,9,11,13,15,17,2,4,6,8,10,12,14,16)
  (1,15,12,9,6,3,17,14,11,8,5,2,16,13,10,7,4)