Properties

Label 14.35-1.0.5-35-35.8
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: $2, 26, 30$

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.

14.35-1.0.5-35-35.8.1

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