Properties

Label 10.25-1.0.5-25-25.40
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: $5, 17, 18$

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.

10.25-1.0.5-25-25.40.1

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