Properties

Label 10.25-1.0.5-25-25.23
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: $4, 8, 11$

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.

10.25-1.0.5-25-25.23.1

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