Properties

Label 12.25-1.0.25-25-25.20
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: $8, 13, 16$

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.

12.25-1.0.25-25-25.20.1

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