Properties

Label 12.25-1.0.25-25-25.12
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: $7, 11, 18$

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.

12.25-1.0.25-25-25.12.1

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