Properties

Genus \(10\)
Quotient Genus \(0\)
Group \(C_{28}\)
Signature \([ 0; 4, 14, 28 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 10
Quotient Genus: 0
Group name: $C_{28}$
Group identifier: [28,2]
Signature: $[ 0; 4, 14, 28 ]$
Conjugacy classes for this refined passport: 3, 11, 22

Jacobian variety group algebra decomposition:$E\times A_{6}\times A_{3}$
Corresponding character(s): 2, 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.

10.28-2.0.4-14-28.1.1

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