Properties

Label 10.21-2.0.21-21-21.14
Genus \(10\)
Quotient genus \(0\)
Group \(C_{21}\)
Signature \([ 0; 21, 21, 21 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $10$
Quotient genus: $0$
Group name: $C_{21}$
Group identifier: $[21,2]$
Signature: $[ 0; 21, 21, 21 ]$
Conjugacy classes for this refined passport: $15, 18, 18$

The full automorphism group for this family is $C_{42}$ with signature $[ 0; 2, 21, 42 ]$.

Jacobian variety group algebra decomposition:$E\times A_{3}\times A_{6}$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

10.21-2.0.21-21-21.14.1

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