Properties

Genus \(3\)
Quotient Genus \(0\)
Group \(C_4\wr C_2\)
Signature \([ 0; 2, 4, 8 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

Family Information

Genus: 3
Quotient Genus: 0
Group name: $C_4\wr C_2$
Group identifier: [32,11]
Signature: $[ 0; 2, 4, 8 ]$
Conjugacy classes for this refined passport: 4, 9, 13

The full automorphism group for this family is $C_4^2:C_3:C_2$ with signature $[ 0; 2, 3, 8 ]$.

Jacobian variety group algebra decomposition:$E\times E^{2}$
Corresponding character(s): 5, 12

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

3.32-11.0.2-4-8.2.1

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