Properties

Genus \(13\)
Quotient Genus \(0\)
Group \(C_2^2:C_{16}\)
Signature \([ 0; 2, 16, 16 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

Family Information

Genus: 13
Quotient Genus: 0
Group name: $C_2^2:C_{16}$
Group identifier: [64,29]
Signature: $[ 0; 2, 16, 16 ]$
Conjugacy classes for this refined passport: 5, 25, 40

The full automorphism group for this family is $C_2^2:D_8.C_2$ with signature $[ 0; 2, 4, 16 ]$.

Jacobian variety group algebra decomposition:$E\times A_{2}\times A_{4}\times E^{2}\times A_{2}^{2}$
Corresponding character(s): 6, 11, 18, 35, 37

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.64-29.0.2-16-16.1.1

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