Properties

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

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Family Information

Genus: 8
Quotient Genus: 0
Group name: $C_5\times S_3$
Group identifier: [30,1]
Signature: $[ 0; 3, 10, 10 ]$
Conjugacy classes for this refined passport: 3, 9, 10

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

8.30-1.0.3-10-10.2.1

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