Properties

Label 10.25-1.0.5-25-25.28
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: $4, 17, 22$

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.

10.25-1.0.5-25-25.28.1

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