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, 12, 21

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

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

14.35-1.0.5-35-35.1.1

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