Properties

Genus \(14\)
Quotient Genus \(0\)
Group \(C_3\times D_7\)
Signature \([ 0; 6, 6, 21 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 14
Quotient Genus: 0
Group name: $C_3\times D_7$
Group identifier: [42,4]
Signature: $[ 0; 6, 6, 21 ]$
Conjugacy classes for this refined passport: 5, 5, 12

The full automorphism group for this family is $C_6\times D_7$ with signature $[ 0; 2, 6, 42 ]$.

Jacobian variety group algebra decomposition:$E\times E\times A_{6}^{2}$
Corresponding character(s): 3, 4, 10

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

14.42-4.0.6-6-21.2.1

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