Properties

Label 14.35-1.0.5-35-35.31
Genus \(14\)
Quotient genus \(0\)
Group \(C_{35}\)
Signature \([ 0; 5, 35, 35 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more

Family Information

Genus: $14$
Quotient genus: $0$
Group name: $C_{35}$
Group identifier: $[35,1]$
Signature: $[ 0; 5, 35, 35 ]$
Conjugacy classes for this refined passport: $5, 17, 21$

The full automorphism group for this family is $C_5\times D_7$ with signature $[ 0; 2, 10, 35 ]$.

Jacobian variety group algebra decomposition:$A_{2}\times A_{12}$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

14.35-1.0.5-35-35.31.1

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