Properties

Genus \(13\)
Quotient Genus \(0\)
Group \(C_{27}\)
Signature \([ 0; 27, 27, 27 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

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: 10, 10, 26

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

Jacobian variety group algebra decomposition:$A_{9}\times A_{3}\times E$
Corresponding character(s): 2, 4, 10

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.27-1.0.27-27-27.1.1

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