Properties

Genus \(8\)
Small Group \(C_{34}\)
Signature \([ 0; 2, 17, 34 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

Family Information

Genus: 8
Group name: $C_{34}$
Group identifier: [34,2]
Signature: $[ 0; 2, 17, 34 ]$
Conjugacy classes for this refined passport: 2, 3, 34

Jacobian variety group algebra decomposition:$A_{8}$
Corresponding character(s): 4

Other Data

Hyperelliptic curve(s):Yes
Hyperelliptic involution: (1,18) (2,19) (3,20) (4,21) (5,22) (6,23) (7,24) (8,25) (9,26) (10,27) (11,28) (12,29) (13,30) (14,31) (15,32) (16,33) (17,34)
Cyclic trigonal curve(s):No

Equation(s) of curve(s) in this refined passport:
  $y^2=x^{17}+1$

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

8.34-2.0.2-17-34.1.1

  (1,18) (2,19) (3,20) (4,21) (5,22) (6,23) (7,24) (8,25) (9,26) (10,27) (11,28) (12,29) (13,30) (14,31) (15,32) (16,33) (17,34)
  (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17) (18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34)
  (1,34,16,32,14,30,12,28,10,26,8,24,6,22,4,20,2,18,17,33,15,31,13,29,11,27,9,25,7,23,5,21,3,19)