Properties

Label 15.44-2.0.4-11-44.5
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: $3, 9, 42$

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.

15.44-2.0.4-11-44.5.1

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