Properties

Genus \(8\)
Quotient Genus \(0\)
Group \(C_2\times C_{10}\)
Signature \([ 0; 10, 10, 10 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 8
Quotient Genus: 0
Group name: $C_2\times C_{10}$
Group identifier: [20,5]
Signature: $[ 0; 10, 10, 10 ]$
Conjugacy classes for this refined passport: 9, 13, 18

The full automorphism group for this family is $C_5\times D_4$ with signature $[ 0; 2, 10, 20 ]$.

Jacobian variety group algebra decomposition:$A_{2}\times A_{2}\times A_{2}\times A_{2}$
Corresponding character(s): 5, 6, 7, 8

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

8.20-5.0.10-10-10.1.1

  (1,7,3,9,5,6,2,8,4,10) (11,17,13,19,15,16,12,18,14,20)
  (1,12,3,14,5,11,2,13,4,15) (6,17,8,19,10,16,7,18,9,20)
  (1,19,2,20,3,16,4,17,5,18) (6,14,7,15,8,11,9,12,10,13)