Properties

Genus \(15\)
Quotient Genus \(0\)
Group \(C_2.SD_{32}\)
Signature \([ 0; 4, 4, 16 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

Family Information

Genus: 15
Quotient Genus: 0
Group name: $C_2.SD_{32}$
Group identifier: [64,48]
Signature: $[ 0; 4, 4, 16 ]$
Conjugacy classes for this refined passport: 7, 9, 19

The full automorphism group for this family is $C_4.D_4:C_4$ with signature $[ 0; 2, 4, 32 ]$.

Jacobian variety group algebra decomposition:$E\times A_{2}\times A_{4}\times A_{2}^{2}\times A_{2}^{2}$
Corresponding character(s): 5, 10, 11, 15, 17

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.64-48.0.4-4-16.1.1

  (1,33,5,37) (2,34,6,38) (3,36,7,40) (4,35,8,39) (9,43,13,47) (10,44,14,48) (11,41,15,45) (12,42,16,46) (17,57,21,61) (18,58,22,62) (19,60,23,64) (20,59,24,63) (25,49,29,53) (26,50,30,54) (27,52,31,56) (28,51,32,55)
  (1,50,6,53) (2,49,5,54) (3,51,8,56) (4,52,7,55) (9,60,14,63) (10,59,13,64) (11,58,16,61) (12,57,15,62) (17,33,22,38) (18,34,21,37) (19,36,24,39) (20,35,23,40) (25,43,30,48) (26,44,29,47) (27,41,32,46) (28,42,31,45)
  (1,29,10,23,4,32,11,21,2,30,9,24,3,31,12,22) (5,25,14,19,8,28,15,17,6,26,13,20,7,27,16,18) (33,61,42,55,36,64,43,53,34,62,41,56,35,63,44,54) (37,57,46,51,40,60,47,49,38,58,45,52,39,59,48,50)