Properties

Label 13.28-4.0.2-2-14-14.4
Genus \(13\)
Quotient genus \(0\)
Group \(C_2\times C_{14}\)
Signature \([ 0; 2, 2, 14, 14 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $13$
Quotient genus: $0$
Group name: $C_2\times C_{14}$
Group identifier: $[28,4]$
Signature: $[ 0; 2, 2, 14, 14 ]$
Conjugacy classes for this refined passport: $2, 2, 23, 28$

The full automorphism group for this family is $C_2\times D_{14}$ with signature $[ 0; 2, 2, 2, 14 ]$.

Jacobian variety group algebra decomposition:$E\times A_{6}\times A_{6}$
Corresponding character(s): $3, 7, 8$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.28-4.0.2-2-14-14.4.1

  (1,8) (2,9) (3,10) (4,11) (5,12) (6,13) (7,14) (15,22) (16,23) (17,24) (18,25) (19,26) (20,27) (21,28)
  (1,8) (2,9) (3,10) (4,11) (5,12) (6,13) (7,14) (15,22) (16,23) (17,24) (18,25) (19,26) (20,27) (21,28)
  (1,23,3,25,5,27,7,22,2,24,4,26,6,28) (8,16,10,18,12,20,14,15,9,17,11,19,13,21)
  (1,28,6,26,4,24,2,22,7,27,5,25,3,23) (8,21,13,19,11,17,9,15,14,20,12,18,10,16)