Properties

Label 6.28-4.0.2-14-14.1
Genus \(6\)
Quotient genus \(0\)
Group \(C_2\times C_{14}\)
Signature \([ 0; 2, 14, 14 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $6$
Quotient genus: $0$
Group name: $C_2\times C_{14}$
Group identifier: $[28,4]$
Signature: $[ 0; 2, 14, 14 ]$
Conjugacy classes for this refined passport: $2, 17, 28$

The full automorphism group for this family is $C_7:D_4$ with signature $[ 0; 2, 4, 14 ]$.

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

6.28-4.0.2-14-14.1.1

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