Properties

Label 15.44-2.0.4-11-44.3
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: $3, 7, 33$

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.

15.44-2.0.4-11-44.3.1

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