Properties

Label 14.35-1.0.5-35-35.10
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: $3, 12, 30$

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

Other Data

Hyperelliptic curve(s):no
Cyclic trigonal curve(s):no

Generating vector(s)

Displaying the unique generating vector for this refined passport.

14.35-1.0.5-35-35.10.1

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