Properties

Label 10.25-1.0.5-25-25.24
Genus \(10\)
Quotient genus \(0\)
Group \(C_{25}\)
Signature \([ 0; 5, 25, 25 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $10$
Quotient genus: $0$
Group name: $C_{25}$
Group identifier: $[25,1]$
Signature: $[ 0; 5, 25, 25 ]$
Conjugacy classes for this refined passport: $4, 9, 10$

Jacobian variety group algebra decomposition:$A_{10}$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

10.25-1.0.5-25-25.24.1

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