Properties

Label 10.30-4.0.5-6-30.6
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: $7, 10, 24$

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.

10.30-4.0.5-6-30.6.1

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