Properties

Label 15.18-2.0.6-9-9-18.3
Genus \(15\)
Quotient genus \(0\)
Group \(C_{18}\)
Signature \([ 0; 6, 9, 9, 18 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $15$
Quotient genus: $0$
Group name: $C_{18}$
Group identifier: $[18,2]$
Signature: $[ 0; 6, 9, 9, 18 ]$
Conjugacy classes for this refined passport: $5, 7, 11, 15$

Jacobian variety group algebra decomposition:$A_{6}\times A_{6}\times E\times A_{2}$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

15.18-2.0.6-9-9-18.3.1

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