Properties

Genus \(10\)
Quotient Genus \(0\)
Group \(C_{40}\)
Signature \([ 0; 2, 40, 40 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

Family Information

Genus: 10
Quotient Genus: 0
Group name: $C_{40}$
Group identifier: [40,2]
Signature: $[ 0; 2, 40, 40 ]$
Conjugacy classes for this refined passport: 2, 25, 32

The full automorphism group for this family is $C_8:D_5$ with signature $[ 0; 2, 4, 40 ]$.

Jacobian variety group algebra decomposition:$A_{2}\times A_{8}$
Corresponding character(s): 2, 10

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

10.40-2.0.2-40-40.1.1

  (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) (35,36) (37,38) (39,40)
  (1,25,11,35,18,22,8,32,13,37,3,27,10,34,20,24,5,29,15,39,2,26,12,36,17,21,7,31,14,38,4,28,9,33,19,23,6,30,16,40)
  (1,39,16,29,6,24,19,34,9,27,4,37,14,32,7,22,17,35,12,25,2,40,15,30,5,23,20,33,10,28,3,38,13,31,8,21,18,36,11,26)