Properties

Label 7.10-2.0.2-10-10-10.3
Genus \(7\)
Quotient genus \(0\)
Group \(C_{10}\)
Signature \([ 0; 2, 10, 10, 10 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $7$
Quotient genus: $0$
Group name: $C_{10}$
Group identifier: $[10,2]$
Signature: $[ 0; 2, 10, 10, 10 ]$
Conjugacy classes for this refined passport: $2, 8, 8, 10$

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

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

7.10-2.0.2-10-10-10.3.1

  (1,6) (2,7) (3,8) (4,9) (5,10)
  (1,9,2,10,3,6,4,7,5,8)
  (1,9,2,10,3,6,4,7,5,8)
  (1,10,4,8,2,6,5,9,3,7)