Properties

Label 12.26-2.0.13-26-26.1
Genus \(12\)
Quotient genus \(0\)
Group \(C_{26}\)
Signature \([ 0; 13, 26, 26 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $12$
Quotient genus: $0$
Group name: $C_{26}$
Group identifier: $[26,2]$
Signature: $[ 0; 13, 26, 26 ]$
Conjugacy classes for this refined passport: $3, 15, 20$

The full automorphism group for this family is $C_{13}:D_4$ with signature $[ 0; 2, 4, 26 ]$.

Jacobian variety group algebra decomposition:$A_{6}\times A_{6}$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

12.26-2.0.13-26-26.1.1

  (1,2,3,4,5,6,7,8,9,10,11,12,13) (14,15,16,17,18,19,20,21,22,23,24,25,26)
  (1,15,3,17,5,19,7,21,9,23,11,25,13,14,2,16,4,18,6,20,8,22,10,24,12,26)
  (1,25,10,21,6,17,2,26,11,22,7,18,3,14,12,23,8,19,4,15,13,24,9,20,5,16)