Properties

Genus \(7\)
Quotient Genus \(0\)
Group \(C_3\times C_9\)
Signature \([ 0; 3, 9, 9 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

Family Information

Genus: 7
Quotient Genus: 0
Group name: $C_3\times C_9$
Group identifier: [27,2]
Signature: $[ 0; 3, 9, 9 ]$
Conjugacy classes for this refined passport: 4, 13, 24

The full automorphism group for this family is $C_3\times D_9$ with signature $[ 0; 2, 6, 9 ]$.

Jacobian variety group algebra decomposition:$A_{3}\times A_{3}\times E$
Corresponding character(s): 5, 6, 11

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

7.27-2.0.3-9-9.4.1

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