Properties

Label 5.20-2.0.2-20-20.4
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: $2, 18, 19$

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

Jacobian variety group algebra decomposition:$E\times A_{4}$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

5.20-2.0.2-20-20.4.1

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