Properties

Genus \(15\)
Quotient Genus \(0\)
Group \(C_{44}\)
Signature \([ 0; 4, 11, 44 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 15
Quotient Genus: 0
Group name: $C_{44}$
Group identifier: [44,2]
Signature: $[ 0; 4, 11, 44 ]$
Conjugacy classes for this refined passport: 3, 5, 44

Jacobian variety group algebra decomposition:$A_{10}\times A_{5}$
Corresponding character(s): 6, 7

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.44-2.0.4-11-44.1.1

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