Properties

Label 14.40-2.0.5-8-40.15
Genus \(14\)
Quotient genus \(0\)
Group \(C_{40}\)
Signature \([ 0; 5, 8, 40 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more

Family Information

Genus: $14$
Quotient genus: $0$
Group name: $C_{40}$
Group identifier: $[40,2]$
Signature: $[ 0; 5, 8, 40 ]$
Conjugacy classes for this refined passport: $8, 11, 29$

Jacobian variety group algebra decomposition:$A_{8}\times A_{4}\times A_{2}$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

14.40-2.0.5-8-40.15.1

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