Properties

Label 10.18-2.0.2-3-9-18.10
Genus \(10\)
Quotient genus \(0\)
Group \(C_{18}\)
Signature \([ 0; 2, 3, 9, 18 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $10$
Quotient genus: $0$
Group name: $C_{18}$
Group identifier: $[18,2]$
Signature: $[ 0; 2, 3, 9, 18 ]$
Conjugacy classes for this refined passport: $2, 4, 10, 15$

Jacobian variety group algebra decomposition:$A_{3}\times A_{6}\times E$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

10.18-2.0.2-3-9-18.10.1

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