Properties

Label 12.26-2.0.13-26-26.29
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: $7, 21, 23$

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.

12.26-2.0.13-26-26.29.1

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