Properties

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: 2, 13, 20

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

Jacobian variety group algebra decomposition:$A_{2}\times A_{12}$
Corresponding character(s): 2, 7

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

14.35-1.0.5-35-35.2.1

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