Properties

Genus \(13\)
Quotient Genus \(0\)
Group \(D_4.C_8\)
Signature \([ 0; 2, 16, 16 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $D_4.C_8$
Group identifier: [64,31]
Signature: $[ 0; 2, 16, 16 ]$
Conjugacy classes for this refined passport: 4, 17, 28

Jacobian variety group algebra decomposition:$E\times A_{2}\times E^{2}\times A_{4}^{2}$
Corresponding character(s): 7, 9, 19, 21

Other Data

Hyperelliptic curve(s):No
Cyclic trigonal curve(s):No

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.64-31.0.2-16-16.1.1

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