Properties

Label 7.18-2.0.6-9-18.7
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: $6, 7, 16$

Jacobian variety group algebra decomposition:$A_{3}\times A_{3}\times E$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

7.18-2.0.6-9-18.7.1

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