Properties

Label 10.22-2.0.11-22-22.50
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: $12, 20, 20$

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.

10.22-2.0.11-22-22.50.1

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