Properties

Genus \(14\)
Quotient Genus \(0\)
Group \(C_2\times C_{30}\)
Signature \([ 0; 2, 30, 30 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 14
Quotient Genus: 0
Group name: $C_2\times C_{30}$
Group identifier: [60,13]
Signature: $[ 0; 2, 30, 30 ]$
Conjugacy classes for this refined passport: 2, 45, 60

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

Jacobian variety group algebra decomposition:$E\times E\times A_{2}\times A_{2}\times A_{4}\times A_{4}$
Corresponding character(s): 7, 8, 15, 16, 19, 20

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

14.60-13.0.2-30-30.1.1

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