Properties

Label 12.25-1.0.25-25-25.7
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: $6, 14, 16$

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.

12.25-1.0.25-25-25.7.1

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