Properties

Label 15.35-1.0.7-35-35.27
Genus \(15\)
Quotient genus \(0\)
Group \(C_{35}\)
Signature \([ 0; 7, 35, 35 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $15$
Quotient genus: $0$
Group name: $C_{35}$
Group identifier: $[35,1]$
Signature: $[ 0; 7, 35, 35 ]$
Conjugacy classes for this refined passport: $8, 20, 21$

Jacobian variety group algebra decomposition:$A_{3}\times A_{12}$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

15.35-1.0.7-35-35.27.1

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