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: 8, 20, 25

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.

7.27-2.0.3-9-9.45.1

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