Properties

Genus \(15\)
Quotient Genus \(0\)
Group \(C_{60}\)
Signature \([ 0; 2, 60, 60 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 15
Quotient Genus: 0
Group name: $C_{60}$
Group identifier: [60,4]
Signature: $[ 0; 2, 60, 60 ]$
Conjugacy classes for this refined passport: 2, 45, 52

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): 2, 6, 14, 18

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.60-4.0.2-60-60.1.1

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