Properties

Genus \(4\)
Quotient Genus \(0\)
Group \(F_5\)
Signature \([ 0; 4, 4, 5 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 4
Quotient Genus: 0
Group name: $F_5$
Group identifier: [20,3]
Signature: $[ 0; 4, 4, 5 ]$
Conjugacy classes for this refined passport: 3, 4, 5

The full automorphism group for this family is $S_5$ with signature $[ 0; 2, 4, 5 ]$.

Jacobian variety group algebra decomposition:$E^{4}$
Corresponding character(s): 5

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

4.20-3.0.4-4-5.1.1

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