Properties

Label 10.25-1.0.5-25-25.5
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: $2, 10, 17$

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.

10.25-1.0.5-25-25.5.1

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