Properties

Label 10.25-1.0.5-25-25.8
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: $2, 13, 14$

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.

10.25-1.0.5-25-25.8.1

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