Properties

Label 15.44-2.0.4-11-44.9
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: $3, 13, 40$

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.

15.44-2.0.4-11-44.9.1

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