Properties

Label 7.27-2.0.3-9-9.3
Genus \(7\)
Quotient genus \(0\)
Group \(C_3\times C_9\)
Signature \([ 0; 3, 9, 9 ]\)
Generating Vectors \(1\)

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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: $4, 12, 19$

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.

7.27-2.0.3-9-9.3.1

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