Properties

Label 10.30-4.0.3-30-30.3
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: $4, 25, 30$

The full automorphism group for this family is $C_3\times D_{10}$ with signature $[ 0; 2, 6, 30 ]$.

Jacobian variety group algebra decomposition:$E\times E\times A_{4}\times A_{4}$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

10.30-4.0.3-30-30.3.1

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