Properties

Genus \(8\)
Quotient Genus \(0\)
Group \(C_9:C_4\)
Signature \([ 0; 4, 4, 9 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

Family Information

Genus: 8
Quotient Genus: 0
Group name: $C_9:C_4$
Group identifier: [36,1]
Signature: $[ 0; 4, 4, 9 ]$
Conjugacy classes for this refined passport: 4, 5, 8

The full automorphism group for this family is $C_9:D_4$ with signature $[ 0; 2, 4, 18 ]$.

Jacobian variety group algebra decomposition:$A_{2}\times A_{6}$
Corresponding character(s): 5, 8

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

8.36-1.0.4-4-9.2.1

  (1,19,10,28) (2,21,11,30) (3,20,12,29) (4,26,13,35) (5,25,14,34) (6,27,15,36) (7,23,16,32) (8,22,17,31) (9,24,18,33)
  (1,34,10,25) (2,36,11,27) (3,35,12,26) (4,31,13,22) (5,33,14,24) (6,32,15,23) (7,28,16,19) (8,30,17,21) (9,29,18,20)
  (1,5,9,3,4,8,2,6,7) (10,14,18,12,13,17,11,15,16) (19,23,27,21,22,26,20,24,25) (28,32,36,30,31,35,29,33,34)