Properties

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: 7, 25, 32

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.

14.36-5.0.6-18-18.1.1

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