Properties

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

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Family Information

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

Other Data

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

8.30-2.0.5-6-6.1.1

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