Properties

Label 14.36-5.0.6-18-18.10
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: $8, 28, 31$

Jacobian variety group algebra decomposition:$A_{3}\times A_{3}\times A_{3}\times A_{3}\times E\times E$
Corresponding character(s): $5, 6, 7, 8, 14, 16$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

14.36-5.0.6-18-18.10.1

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