Properties

Genus \(13\)
Quotient Genus \(0\)
Group \((C_2^2\times C_4):C_4\)
Signature \([ 0; 4, 4, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $(C_2^2\times C_4):C_4$
Group identifier: [64,33]
Signature: $[ 0; 4, 4, 8 ]$
Conjugacy classes for this refined passport: 7, 10, 13

Jacobian variety group algebra decomposition:$E\times A_{3}^{4}$
Corresponding character(s): 6, 12

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.64-33.0.4-4-8.1.1

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