Properties

Genus \(14\)
Quotient Genus \(0\)
Group \(C_{15}:C_4\)
Signature \([ 0; 4, 4, 15 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 14
Quotient Genus: 0
Group name: $C_{15}:C_4$
Group identifier: [60,3]
Signature: $[ 0; 4, 4, 15 ]$
Conjugacy classes for this refined passport: 4, 5, 11

The full automorphism group for this family is $D_{30}:C_2$ with signature $[ 0; 2, 4, 30 ]$.

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

14.60-3.0.4-4-15.1.1

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