Properties

Label 15.44-2.0.4-11-44.6
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: $3, 10, 37$

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.

15.44-2.0.4-11-44.6.1

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