Properties

Genus \(10\)
Quotient Genus \(0\)
Group \(C_{24}\)
Signature \([ 0; 8, 12, 24 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

Family Information

Genus: 10
Quotient Genus: 0
Group name: $C_{24}$
Group identifier: [24,2]
Signature: $[ 0; 8, 12, 24 ]$
Conjugacy classes for this refined passport: 9, 14, 21

Jacobian variety group algebra decomposition:$A_{2}\times E\times A_{4}\times A_{2}\times E$
Corresponding character(s): 2, 3, 10, 11, 13

Other Data

Hyperelliptic curve(s):No
Cyclic trigonal curve(s):No

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

10.24-2.0.8-12-24.2.1

  (1,13,3,15,2,14,4,16) (5,17,7,19,6,18,8,20) (9,21,11,23,10,22,12,24)
  (1,11,6,4,9,7,2,12,5,3,10,8) (13,23,18,16,21,19,14,24,17,15,22,20)
  (1,18,11,16,6,21,4,19,9,14,7,24,2,17,12,15,5,22,3,20,10,13,8,23)