Properties

Genus \(4\)
Quotient Genus \(0\)
Group \(C_2\times C_6\)
Signature \([ 0; 6, 6, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 4
Quotient Genus: 0
Group name: $C_2\times C_6$
Group identifier: [12,5]
Signature: $[ 0; 6, 6, 6 ]$
Conjugacy classes for this refined passport: 8, 10, 12

The full automorphism group for this family is $C_3\times S_4$ with signature $[ 0; 2, 3, 12 ]$.

Jacobian variety group algebra decomposition:$E\times E\times E\times E$
Corresponding character(s): 5, 6, 7, 8

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

4.12-5.0.6-6-6.2.1

  (1,6,2,4,3,5) (7,12,8,10,9,11)
  (1,9,2,7,3,8) (4,12,5,10,6,11)
  (1,12,2,10,3,11) (4,9,5,7,6,8)