Properties

Label 10.22-2.0.11-22-22.44
Genus \(10\)
Quotient genus \(0\)
Group \(C_{22}\)
Signature \([ 0; 11, 22, 22 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $10$
Quotient genus: $0$
Group name: $C_{22}$
Group identifier: $[22,2]$
Signature: $[ 0; 11, 22, 22 ]$
Conjugacy classes for this refined passport: $11, 16, 20$

The full automorphism group for this family is $C_{11}:D_4$ with signature $[ 0; 2, 4, 22 ]$.

Jacobian variety group algebra decomposition:$A_{5}\times A_{5}$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

10.22-2.0.11-22-22.44.1

  (1,10,8,6,4,2,11,9,7,5,3) (12,21,19,17,15,13,22,20,18,16,14)
  (1,19,4,22,7,14,10,17,2,20,5,12,8,15,11,18,3,21,6,13,9,16)
  (1,18,2,19,3,20,4,21,5,22,6,12,7,13,8,14,9,15,10,16,11,17)