Properties

Label 7.27-2.0.3-9-9.37
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: $8, 10, 17$

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.

7.27-2.0.3-9-9.37.1

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