Properties

Label 10.22-2.0.11-22-22.36
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: $10, 13, 18$

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.

10.22-2.0.11-22-22.36.1

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