Properties

Label 15.44-2.0.4-11-44.17
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: $4, 11, 41$

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.

15.44-2.0.4-11-44.17.1

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