Properties

Label 10.25-1.0.5-25-25.37
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: $5, 14, 21$

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.

10.25-1.0.5-25-25.37.1

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