Properties

Genus \(5\)
Quotient Genus \(0\)
Group \(C_{20}\)
Signature \([ 0; 2, 20, 20 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 5
Quotient Genus: 0
Group name: $C_{20}$
Group identifier: [20,2]
Signature: $[ 0; 2, 20, 20 ]$
Conjugacy classes for this refined passport: 2, 14, 15

The full automorphism group for this family is $C_4\times D_5$ with signature $[ 0; 2, 4, 20 ]$.

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

5.20-2.0.2-20-20.2.1

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