Properties

Genus \(13\)
Quotient Genus \(0\)
Group \(C_3\times C_{15}\)
Signature \([ 0; 3, 15, 15 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $C_3\times C_{15}$
Group identifier: [45,2]
Signature: $[ 0; 3, 15, 15 ]$
Conjugacy classes for this refined passport: 2, 22, 37

The full automorphism group for this family is $C_3\times D_{15}$ with signature $[ 0; 2, 6, 15 ]$.

Jacobian variety group algebra decomposition:$E\times A_{4}\times A_{4}\times A_{4}$
Corresponding character(s): 6, 13, 14, 15

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.45-2.0.3-15-15.1.1

  (1,6,11) (2,7,12) (3,8,13) (4,9,14) (5,10,15) (16,21,26) (17,22,27) (18,23,28) (19,24,29) (20,25,30) (31,36,41) (32,37,42) (33,38,43) (34,39,44) (35,40,45)
  (1,17,33,4,20,31,2,18,34,5,16,32,3,19,35) (6,22,38,9,25,36,7,23,39,10,21,37,8,24,40) (11,27,43,14,30,41,12,28,44,15,26,42,13,29,45)
  (1,45,24,3,42,21,5,44,23,2,41,25,4,43,22) (6,35,29,8,32,26,10,34,28,7,31,30,9,33,27) (11,40,19,13,37,16,15,39,18,12,36,20,14,38,17)