Properties

Genus \(5\)
Quotient Genus \(0\)
Group \(C_{22}\)
Signature \([ 0; 2, 11, 22 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

Family Information

Genus: 5
Quotient Genus: 0
Group name: $C_{22}$
Group identifier: [22,2]
Signature: $[ 0; 2, 11, 22 ]$
Conjugacy classes for this refined passport: 2, 9, 19

Jacobian variety group algebra decomposition:$A_{5}$
Corresponding character(s): 4

Other Data

Hyperelliptic curve(s):Yes
Hyperelliptic involution: (1,12) (2,13) (3,14) (4,15) (5,16) (6,17) (7,18) (8,19) (9,20) (10,21) (11,22)
Cyclic trigonal curve(s):No

Equation(s) of curve(s) in this refined passport:
  $y^2=x^{11}+1$

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

5.22-2.0.2-11-22.7.1

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