Properties

Genus \(8\)
Small Group \(C_2\times C_7:C_3\)
Signature \([ 0; 3, 6, 6 ]\)
Generating Vectors \(2\)

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Family Information

Genus: 8
Group name: $C_2\times C_7:C_3$
Group identifier: [42,2]
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:$E\times E\times A_{2}^{3}$
Corresponding character(s): 3, 4, 7

Other Data

Generating Vector(s)

Displaying 2 of 2 generating vectors for this refined passport.

8.42-2.0.3-6-6.1.1

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

8.42-2.0.3-6-6.1.2
  (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)
  (1,33,20,22,12,41) (2,35,17,23,14,38) (3,30,21,24,9,42) (4,32,18,25,11,39) (5,34,15,26,13,36) (6,29,19,27,8,40) (7,31,16,28,10,37)
  (1,35,19,22,14,40) (2,30,16,23,9,37) (3,32,20,24,11,41) (4,34,17,25,13,38) (5,29,21,26,8,42) (6,31,18,27,10,39) (7,33,15,28,12,36)

Display number of generating vectors: