Properties

Label 10.25-1.0.5-25-25.15
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: $3, 10, 13$

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.

10.25-1.0.5-25-25.15.1

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