Properties

Label 15.44-2.0.4-11-44.20
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: $4, 14, 25$

Jacobian variety group algebra decomposition:$A_{10}\times A_{5}$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

15.44-2.0.4-11-44.20.1

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