Properties

Label 14.35-1.0.5-35-35.14
Genus \(14\)
Quotient genus \(0\)
Group \(C_{35}\)
Signature \([ 0; 5, 35, 35 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $14$
Quotient genus: $0$
Group name: $C_{35}$
Group identifier: $[35,1]$
Signature: $[ 0; 5, 35, 35 ]$
Conjugacy classes for this refined passport: $3, 18, 25$

The full automorphism group for this family is $C_5\times D_7$ with signature $[ 0; 2, 10, 35 ]$.

Jacobian variety group algebra decomposition:$A_{2}\times A_{12}$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

14.35-1.0.5-35-35.14.1

  (1,15,29,8,22) (2,16,30,9,23) (3,17,31,10,24) (4,18,32,11,25) (5,19,33,12,26) (6,20,34,13,27) (7,21,35,14,28)
  (1,31,26,21,9,4,34,22,17,12,7,30,25,20,8,3,33,28,16,11,6,29,24,19,14,2,32,27,15,10,5,35,23,18,13)
  (1,34,25,16,14,5,31,22,20,11,2,35,26,17,8,6,32,23,21,12,3,29,27,18,9,7,33,24,15,13,4,30,28,19,10)