Properties

Label 10.25-1.0.5-25-25.29
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: $4, 18, 21$

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.

10.25-1.0.5-25-25.29.1

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