Properties

Genus \(8\)
Quotient Genus \(0\)
Group \(C_3\times D_5\)
Signature \([ 0; 5, 6, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 8
Quotient Genus: 0
Group name: $C_3\times D_5$
Group identifier: [30,2]
Signature: $[ 0; 5, 6, 6 ]$
Conjugacy classes for this refined passport: 6, 7, 8

The full automorphism group for this family is $S_3\times D_5$ with signature $[ 0; 2, 6, 10 ]$.

Jacobian variety group algebra decomposition:$A_{4}^{2}$
Corresponding character(s): 9

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

8.30-2.0.5-6-6.2.1

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