Properties

Genus \(15\)
Quotient Genus \(0\)
Group \(C_{15}:C_4\)
Signature \([ 0; 4, 4, 30 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 15
Quotient Genus: 0
Group name: $C_{15}:C_4$
Group identifier: [60,3]
Signature: $[ 0; 4, 4, 30 ]$
Conjugacy classes for this refined passport: 4, 4, 15

The full automorphism group for this family is $C_4\times D_{15}$ with signature $[ 0; 2, 4, 60 ]$.

Jacobian variety group algebra decomposition:$E\times A_{2}\times A_{4}\times A_{8}$
Corresponding character(s): 3, 5, 9, 11

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.60-3.0.4-4-30.1.1

  (1,31,16,46) (2,35,17,50) (3,34,18,49) (4,33,19,48) (5,32,20,47) (6,41,21,56) (7,45,22,60) (8,44,23,59) (9,43,24,58) (10,42,25,57) (11,36,26,51) (12,40,27,55) (13,39,28,54) (14,38,29,53) (15,37,30,52)
  (1,45,16,60) (2,44,17,59) (3,43,18,58) (4,42,19,57) (5,41,20,56) (6,40,21,55) (7,39,22,54) (8,38,23,53) (9,37,24,52) (10,36,25,51) (11,35,26,50) (12,34,27,49) (13,33,28,48) (14,32,29,47) (15,31,30,46)
  (1,22,13,19,10,26,2,23,14,20,6,27,3,24,15,16,7,28,4,25,11,17,8,29,5,21,12,18,9,30) (31,52,43,49,40,56,32,53,44,50,36,57,33,54,45,46,37,58,34,55,41,47,38,59,35,51,42,48,39,60)