Properties

Label 10.30-4.0.5-6-30.8
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: $8, 10, 23$

Jacobian variety group algebra decomposition:$A_{2}\times A_{4}\times A_{4}$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

10.30-4.0.5-6-30.8.1

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