Properties

Label 14.36-5.0.6-18-18.25
Genus \(14\)
Quotient genus \(0\)
Group \(C_2\times C_{18}\)
Signature \([ 0; 6, 18, 18 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $14$
Quotient genus: $0$
Group name: $C_2\times C_{18}$
Group identifier: $[36,5]$
Signature: $[ 0; 6, 18, 18 ]$
Conjugacy classes for this refined passport: $11, 19, 26$

Jacobian variety group algebra decomposition:$A_{3}\times A_{3}\times A_{3}\times A_{3}\times E\times E$
Corresponding character(s): $5, 6, 7, 8, 15, 16$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

14.36-5.0.6-18-18.25.1

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