Properties

Label 10.30-4.0.5-6-30.2
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: $5, 10, 28$

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.

10.30-4.0.5-6-30.2.1

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