Properties

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

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Family Information

Genus: 7
Quotient Genus: 0
Group name: $C_{20}$
Group identifier: [20,2]
Signature: $[ 0; 4, 10, 20 ]$
Conjugacy classes for this refined passport: 3, 9, 16

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.

7.20-2.0.4-10-20.1.1

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