Properties

Label 15.44-2.0.4-11-44.14
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: $4, 8, 38$

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.

15.44-2.0.4-11-44.14.1

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