Properties

Label 10.25-1.0.5-25-25.26
Genus \(10\)
Quotient genus \(0\)
Group \(C_{25}\)
Signature \([ 0; 5, 25, 25 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more

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: $4, 15, 24$

Jacobian variety group algebra decomposition:$A_{10}$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

10.25-1.0.5-25-25.26.1

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