Properties

Label 8.20-5.0.10-10-10.10
Genus \(8\)
Quotient genus \(0\)
Group \(C_2\times C_{10}\)
Signature \([ 0; 10, 10, 10 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $8$
Quotient genus: $0$
Group name: $C_2\times C_{10}$
Group identifier: $[20,5]$
Signature: $[ 0; 10, 10, 10 ]$
Conjugacy classes for this refined passport: $12, 14, 18$

The full automorphism group for this family is $C_5\times D_4$ with signature $[ 0; 2, 10, 20 ]$.

Jacobian variety group algebra decomposition:$A_{2}\times A_{2}\times A_{2}\times A_{2}$
Corresponding character(s): $5, 6, 7, 8$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

8.20-5.0.10-10-10.10.1

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