Properties

Label 10.22-2.0.11-22-22.1
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: $3, 13, 17$

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.

10.22-2.0.11-22-22.1.1

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