Properties

Genus \(10\)
Small Group \(C_{25}\)
Signature \([ 0; 5, 25, 25 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 10
Group name: $C_{25}$
Group identifier: [25,1]
Signature: $[ 0; 5, 25, 25 ]$
Conjugacy classes for this refined passport: 2, 6, 21

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

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

10.25-1.0.5-25-25.1.1

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