Properties

Label 13.36-2.0.4-18-36.5
Genus \(13\)
Quotient genus \(0\)
Group \(C_{36}\)
Signature \([ 0; 4, 18, 36 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $13$
Quotient genus: $0$
Group name: $C_{36}$
Group identifier: $[36,2]$
Signature: $[ 0; 4, 18, 36 ]$
Conjugacy classes for this refined passport: $5, 23, 26$

Jacobian variety group algebra decomposition:$E\times A_{6}\times A_{3}\times A_{2}\times E$

Other Data

Hyperelliptic curve(s):no
Cyclic trigonal curve(s):no

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.36-2.0.4-18-36.5.1

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