Properties

Label 12.25-1.0.25-25-25.14
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: $7, 14, 15$

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.

12.25-1.0.25-25-25.14.1

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