Properties

Label 4.20-5.0.2-10-10.6
Genus \(4\)
Quotient genus \(0\)
Group \(C_2\times C_{10}\)
Signature \([ 0; 2, 10, 10 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $4$
Quotient genus: $0$
Group name: $C_2\times C_{10}$
Group identifier: $[20,5]$
Signature: $[ 0; 2, 10, 10 ]$
Conjugacy classes for this refined passport: $3, 10, 19$

The full automorphism group for this family is $C_5:D_4$ with signature $[ 0; 2, 4, 10 ]$.

Jacobian variety group algebra decomposition:$A_{2}\times A_{2}$
Corresponding character(s): $6, 8$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

4.20-5.0.2-10-10.6.1

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