Properties

Label 14.40-1.0.8-8-10.3
Genus \(14\)
Quotient genus \(0\)
Group \(C_5:C_8\)
Signature \([ 0; 8, 8, 10 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more

Family Information

Genus: $14$
Quotient genus: $0$
Group name: $C_5:C_8$
Group identifier: $[40,1]$
Signature: $[ 0; 8, 8, 10 ]$
Conjugacy classes for this refined passport: $9, 10, 11$

The full automorphism group for this family is $Q_8:D_5$ with signature $[ 0; 2, 8, 20 ]$.

Jacobian variety group algebra decomposition:$A_{2}\times A_{4}\times A_{8}$
Corresponding character(s): $5, 11, 13$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

14.40-1.0.8-8-10.3.1

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