Properties

Genus \(10\)
Quotient Genus \(0\)
Group \(C_3\times D_5\)
Signature \([ 0; 6, 6, 15 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 10
Quotient Genus: 0
Group name: $C_3\times D_5$
Group identifier: [30,2]
Signature: $[ 0; 6, 6, 15 ]$
Conjugacy classes for this refined passport: 7, 7, 9

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

Jacobian variety group algebra decomposition:$E\times E\times A_{4}^{2}$
Corresponding character(s): 3, 5, 9

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

10.30-2.0.6-6-15.1.1

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