Properties

Label 15.44-2.0.4-11-44.7
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: $3, 11, 31$

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.

15.44-2.0.4-11-44.7.1

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