Properties

Genus \(12\)
Small Group \(C_{25}\)
Signature \([ 0; 25, 25, 25 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 12
Group name: $C_{25}$
Group identifier: [25,1]
Signature: $[ 0; 25, 25, 25 ]$
Conjugacy classes for this refined passport: 6, 10, 20

Jacobian variety group algebra decomposition:$A_{10}\times A_{2}$
Corresponding character(s): 2, 6

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

12.25-1.0.25-25-25.4.1

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