Properties

Label 10.25-1.0.5-25-25.31
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: $5, 6, 9$

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.

10.25-1.0.5-25-25.31.1

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