Properties

Label 15.44-2.0.4-11-44.16
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: $4, 10, 27$

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.

15.44-2.0.4-11-44.16.1

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