Properties

Genus \(10\)
Quotient Genus \(0\)
Group \(C_{30}\)
Signature \([ 0; 5, 6, 30 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 10
Quotient Genus: 0
Group name: $C_{30}$
Group identifier: [30,4]
Signature: $[ 0; 5, 6, 30 ]$
Conjugacy classes for this refined passport: 5, 9, 30

Jacobian variety group algebra decomposition:$A_{2}\times A_{4}\times A_{4}$
Corresponding character(s): 8, 9, 10

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

10.30-4.0.5-6-30.1.1

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