Properties

Label 15.30-4.0.2-2-30-30.4
Genus \(15\)
Quotient genus \(0\)
Group \(C_{30}\)
Signature \([ 0; 2, 2, 30, 30 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $15$
Quotient genus: $0$
Group name: $C_{30}$
Group identifier: $[30,4]$
Signature: $[ 0; 2, 2, 30, 30 ]$
Conjugacy classes for this refined passport: $2, 2, 26, 27$

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

Jacobian variety group algebra decomposition:$E\times A_{2}\times A_{4}\times A_{8}$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

15.30-4.0.2-2-30-30.4.1

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