Properties

Genus \(7\)
Quotient Genus \(0\)
Group \(C_{18}\)
Signature \([ 0; 6, 9, 18 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 7
Quotient Genus: 0
Group name: $C_{18}$
Group identifier: [18,2]
Signature: $[ 0; 6, 9, 18 ]$
Conjugacy classes for this refined passport: 5, 7, 14

Jacobian variety group algebra decomposition:$A_{3}\times A_{3}\times E$
Corresponding character(s): 3, 4, 8

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

7.18-2.0.6-9-18.1.1

  (1,11,3,10,2,12) (4,14,6,13,5,15) (7,17,9,16,8,18)
  (1,4,7,2,5,8,3,6,9) (10,13,16,11,14,17,12,15,18)
  (1,17,4,12,7,15,2,18,5,10,8,13,3,16,6,11,9,14)