Properties

Genus \(14\)
Quotient Genus \(0\)
Group \(C_{42}\)
Signature \([ 0; 3, 42, 42 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 14
Quotient Genus: 0
Group name: $C_{42}$
Group identifier: [42,6]
Signature: $[ 0; 3, 42, 42 ]$
Conjugacy classes for this refined passport: 3, 31, 34

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

Jacobian variety group algebra decomposition:$E\times E\times A_{6}\times A_{6}$
Corresponding character(s): 3, 4, 9, 10

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

14.42-6.0.3-42-42.1.1

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