Properties

Label 5.4-2.0.2-2-2-2-2-2-2-2.8
Genus \(5\)
Quotient genus \(0\)
Group \(C_2^2\)
Signature \([ 0; 2, 2, 2, 2, 2, 2, 2, 2 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $5$
Quotient genus: $0$
Group name: $C_2^2$
Group identifier: $[4,2]$
Signature: $[ 0; 2, 2, 2, 2, 2, 2, 2, 2 ]$
Conjugacy classes for this refined passport: $2, 2, 3, 3, 4, 4, 4, 4$

Jacobian variety group algebra decomposition:$A_{2}\times A_{2}\times E$
Corresponding character(s): $2, 3, 4$

Other Data

Hyperelliptic curve(s):no
Cyclic trigonal curve(s):no

Generating vector(s)

Displaying the unique generating vector for this refined passport.

5.4-2.0.2-2-2-2-2-2-2-2.8.1

  (1,2) (3,4)
  (1,2) (3,4)
  (1,3) (2,4)
  (1,3) (2,4)
  (1,4) (2,3)
  (1,4) (2,3)
  (1,4) (2,3)
  (1,4) (2,3)