Properties

Label 7.27-4.0.3-9-9.3
Genus \(7\)
Quotient genus \(0\)
Group \(C_9:C_3\)
Signature \([ 0; 3, 9, 9 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $7$
Quotient genus: $0$
Group name: $C_9:C_3$
Group identifier: $[27,4]$
Signature: $[ 0; 3, 9, 9 ]$
Conjugacy classes for this refined passport: $4, 8, 11$

The full automorphism group for this family is $C_9:C_6$ with signature $[ 0; 2, 6, 9 ]$.

Jacobian variety group algebra decomposition:$E\times A_{2}^{3}$
Corresponding character(s): $3, 10$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

7.27-4.0.3-9-9.3.1

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