Properties

Genus \(10\)
Quotient Genus \(0\)
Group \(C_{30}\)
Signature \([ 0; 3, 30, 30 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 10
Quotient Genus: 0
Group name: $C_{30}$
Group identifier: [30,4]
Signature: $[ 0; 3, 30, 30 ]$
Conjugacy classes for this refined passport: 3, 23, 28

The full automorphism group for this family is $C_6\times D_5$ with signature $[ 0; 2, 6, 30 ]$.

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

10.30-4.0.3-30-30.1.1

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