Properties

Genus \(15\)
Quotient Genus \(0\)
Group \(C_{42}\)
Signature \([ 0; 6, 7, 42 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 15
Quotient Genus: 0
Group name: $C_{42}$
Group identifier: [42,6]
Signature: $[ 0; 6, 7, 42 ]$
Conjugacy classes for this refined passport: 5, 7, 42

Jacobian variety group algebra decomposition:$A_{3}\times A_{6}\times A_{6}$
Corresponding character(s): 8, 9, 10

Other Data

Hyperelliptic curve(s):No
Cyclic trigonal curve(s):No

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.42-6.0.6-7-42.1.1

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