Properties

Label 10.30-4.0.5-6-30.3
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: $6, 9, 29$

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.

10.30-4.0.5-6-30.3.1

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