Properties

Label 12.30-4.0.6-15-30.1
Genus \(12\)
Quotient genus \(0\)
Group \(C_{30}\)
Signature \([ 0; 6, 15, 30 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $12$
Quotient genus: $0$
Group name: $C_{30}$
Group identifier: $[30,4]$
Signature: $[ 0; 6, 15, 30 ]$
Conjugacy classes for this refined passport: $9, 15, 28$

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

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

12.30-4.0.6-15-30.1.1

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