Properties

Label 10.30-4.0.5-6-30.7
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: $8, 9, 25$

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.

10.30-4.0.5-6-30.7.1

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