Properties

Genus \(7\)
Quotient Genus \(0\)
Group \(C_2.D_8\)
Signature \([ 0; 4, 4, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 7
Quotient Genus: 0
Group name: $C_2.D_8$
Group identifier: [32,14]
Signature: $[ 0; 4, 4, 8 ]$
Conjugacy classes for this refined passport: 7, 9, 13

The full automorphism group for this family is $C_2^2.D_8$ with signature $[ 0; 2, 4, 16 ]$.

Jacobian variety group algebra decomposition:$E\times A_{2}\times A_{4}$
Corresponding character(s): 5, 10, 13

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

7.32-14.0.4-4-8.1.1

  (1,17,3,19) (2,18,4,20) (5,22,7,24) (6,21,8,23) (9,29,11,31) (10,30,12,32) (13,25,15,27) (14,26,16,28)
  (1,25,3,27) (2,26,4,28) (5,30,7,32) (6,29,8,31) (9,17,11,19) (10,18,12,20) (13,22,15,24) (14,21,16,23)
  (1,15,5,12,2,16,6,11) (3,13,7,10,4,14,8,9) (17,31,21,28,18,32,22,27) (19,29,23,26,20,30,24,25)