Properties

Label 15.44-2.0.4-11-44.15
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: $4, 9, 32$

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.

15.44-2.0.4-11-44.15.1

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