Properties

Label 15.44-2.0.4-11-44.4
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: $3, 8, 28$

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.

15.44-2.0.4-11-44.4.1

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