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, 10, 19

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.

7.20-2.0.4-10-20.2.1

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