Properties

Genus \(14\)
Quotient Genus \(0\)
Group \(C_{30}\)
Signature \([ 0; 15, 30, 30 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 14
Quotient Genus: 0
Group name: $C_{30}$
Group identifier: [30,4]
Signature: $[ 0; 15, 30, 30 ]$
Conjugacy classes for this refined passport: 15, 23, 26

The full automorphism group for this family is $D_{30}:C_2$ with signature $[ 0; 2, 4, 30 ]$.

Jacobian variety group algebra decomposition:$E\times E\times A_{2}\times A_{2}\times A_{4}\times A_{4}$
Corresponding character(s): 3, 4, 7, 8, 9, 10

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

14.30-4.0.15-30-30.1.1

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