Properties

Genus \(8\)
Small Group \(C_5\times S_3\)
Signature \([ 0; 3, 10, 10 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 8
Group name: $C_5\times S_3$
Group identifier: [30,1]
Signature: $[ 0; 3, 10, 10 ]$
Conjugacy classes for this refined passport: 3, 8, 11

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): 12

Other Data

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

8.30-1.0.3-10-10.1.1

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