Properties

Genus \(4\)
Quotient Genus \(0\)
Group \(C_2\times C_{10}\)
Signature \([ 0; 2, 10, 10 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 4
Quotient Genus: 0
Group name: $C_2\times C_{10}$
Group identifier: [20,5]
Signature: $[ 0; 2, 10, 10 ]$
Conjugacy classes for this refined passport: 2, 14, 19

The full automorphism group for this family is $C_5:D_4$ with signature $[ 0; 2, 4, 10 ]$.

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

4.20-5.0.2-10-10.2.1

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