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, 8, 19

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.

10.25-1.0.5-25-25.3.1

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