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, 36, 41

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.

14.42-6.0.3-42-42.2.1

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