Properties

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

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Family Information

Genus: 10
Quotient Genus: 0
Group name: $C_{25}$
Group identifier: [25,1]
Signature: $[ 0; 5, 25, 25 ]$
Conjugacy classes for this refined passport: 2, 7, 20

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.

10.25-1.0.5-25-25.2.1

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