Properties

Label 15.44-2.0.4-11-44.8
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: $3, 12, 26$

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.

15.44-2.0.4-11-44.8.1

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