Properties

Genus \(7\)
Small Group \(C_{20}\)
Signature \([ 0; 4, 10, 20 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 7
Group name: $C_{20}$
Group identifier: [20,2]
Signature: $[ 0; 4, 10, 20 ]$
Conjugacy classes for this refined passport: 4, 12, 17

Jacobian variety group algebra decomposition:$E\times A_{4}\times A_{2}$
Corresponding character(s): 2, 6, 7

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

7.20-2.0.4-10-20.8.1

  (1,12,2,11) (3,14,4,13) (5,16,6,15) (7,18,8,17) (9,20,10,19)
  (1,10,7,6,3,2,9,8,5,4) (11,20,17,16,13,12,19,18,15,14)
  (1,14,6,17,9,12,4,15,7,20,2,13,5,18,10,11,3,16,8,19)