Properties

Label 15.44-2.0.4-11-44.2
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: $3, 6, 39$

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.

15.44-2.0.4-11-44.2.1

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