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, 46, 59

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.

14.60-13.0.2-30-30.2.1

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