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: 6, 13, 22

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.

7.27-2.0.3-9-9.22.1

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