Properties

Label 13.27-1.0.27-27-27.22
Genus \(13\)
Quotient genus \(0\)
Group \(C_{27}\)
Signature \([ 0; 27, 27, 27 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more

Family Information

Genus: $13$
Quotient genus: $0$
Group name: $C_{27}$
Group identifier: $[27,1]$
Signature: $[ 0; 27, 27, 27 ]$
Conjugacy classes for this refined passport: $15, 15, 17$

The full automorphism group for this family is $C_{54}$ with signature $[ 0; 2, 27, 54 ]$.

Jacobian variety group algebra decomposition:$A_{9}\times A_{3}\times E$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.27-1.0.27-27-27.22.1

  (1,25,17,9,22,14,6,19,11,3,27,16,8,24,13,5,21,10,2,26,18,7,23,15,4,20,12)
  (1,25,17,9,22,14,6,19,11,3,27,16,8,24,13,5,21,10,2,26,18,7,23,15,4,20,12)
  (1,20,15,7,26,10,5,24,16,3,19,14,9,25,12,4,23,18,2,21,13,8,27,11,6,22,17)