Properties

Label 14.35-1.0.5-35-35.12
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: $3, 15, 28$

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.

14.35-1.0.5-35-35.12.1

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