Properties

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: 6, 12, 25

Jacobian variety group algebra decomposition:$A_{3}\times A_{12}$
Corresponding character(s): 6, 7

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.35-1.0.7-35-35.1.1

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