Properties

Label 12.25-1.0.25-25-25.25
Genus \(12\)
Quotient genus \(0\)
Group \(C_{25}\)
Signature \([ 0; 25, 25, 25 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $12$
Quotient genus: $0$
Group name: $C_{25}$
Group identifier: $[25,1]$
Signature: $[ 0; 25, 25, 25 ]$
Conjugacy classes for this refined passport: $9, 12, 16$

Jacobian variety group algebra decomposition:$A_{10}\times A_{2}$

Other Data

Hyperelliptic curve(s):no
Cyclic trigonal curve(s):no

Generating vector(s)

Displaying the unique generating vector for this refined passport.

12.25-1.0.25-25-25.25.1

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