Properties

Genus \(13\)
Quotient Genus \(0\)
Group \(C_2^3.C_8\)
Signature \([ 0; 2, 16, 16 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $C_2^3.C_8$
Group identifier: [64,30]
Signature: $[ 0; 2, 16, 16 ]$
Conjugacy classes for this refined passport: 4, 15, 22

The full automorphism group for this family is $(C_2^2\times C_4).D_4$ with signature $[ 0; 2, 4, 16 ]$.

Jacobian variety group algebra decomposition:$E\times A_{2}\times E^{2}\times A_{2}^{4}$
Corresponding character(s): 7, 13, 19, 21

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.64-30.0.2-16-16.1.1

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