Properties

Genus \(8\)
Small Group \(F_7\)
Signature \([ 0; 3, 6, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 8
Group name: $F_7$
Group identifier: [42,1]
Signature: $[ 0; 3, 6, 6 ]$
Conjugacy classes for this refined passport: 3, 5, 5

The full automorphism group for this family is $C_2\times F_7$ with signature $[ 0; 2, 6, 6 ]$.

Jacobian variety group algebra decomposition:$E\times E\times E^{6}$
Corresponding character(s): 3, 4, 7

Other Data

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

8.42-1.0.3-6-6.1.1

  (1,8,15) (2,10,19) (3,12,16) (4,14,20) (5,9,17) (6,11,21) (7,13,18) (22,29,36) (23,31,40) (24,33,37) (25,35,41) (26,30,38) (27,32,42) (28,34,39)
  (1,32,19,24,14,41) (2,30,16,23,9,37) (3,35,20,22,11,40) (4,33,17,28,13,36) (5,31,21,27,8,39) (6,29,18,26,10,42) (7,34,15,25,12,38)
  (1,35,16,26,13,39) (2,33,20,25,8,42) (3,31,17,24,10,38) (4,29,21,23,12,41) (5,34,18,22,14,37) (6,32,15,28,9,40) (7,30,19,27,11,36)