Properties

Genus \(15\)
Quotient Genus \(0\)
Group \(C_{45}\)
Signature \([ 0; 3, 45, 45 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 15
Quotient Genus: 0
Group name: $C_{45}$
Group identifier: [45,1]
Signature: $[ 0; 3, 45, 45 ]$
Conjugacy classes for this refined passport: 2, 22, 29

Jacobian variety group algebra decomposition:$A_{3}\times A_{12}$
Corresponding character(s): 2, 11

Other Data

Hyperelliptic curve(s):No
Cyclic trigonal curve(s):No

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.45-1.0.3-45-45.1.1

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