Properties

Genus \(13\)
Quotient Genus \(0\)
Group \(C_6\times A_4\)
Signature \([ 0; 3, 6, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $C_6\times A_4$
Group identifier: [72,47]
Signature: $[ 0; 3, 6, 6 ]$
Conjugacy classes for this refined passport: 7, 17, 22

Jacobian variety group algebra decomposition:$E\times E\times E\times E\times A_{2}^{3}\times E^{3}$
Corresponding character(s): 3, 5, 7, 9, 21, 22

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.72-47.0.3-6-6.1.1

  (1,13,25) (2,16,27) (3,14,28) (4,15,26) (5,17,29) (6,20,31) (7,18,32) (8,19,30) (9,21,33) (10,24,35) (11,22,36) (12,23,34) (37,49,61) (38,52,63) (39,50,64) (40,51,62) (41,53,65) (42,56,67) (43,54,68) (44,55,66) (45,57,69) (46,60,71) (47,58,72) (48,59,70)
  (1,42,9,38,5,46) (2,41,10,37,6,45) (3,44,11,40,7,48) (4,43,12,39,8,47) (13,54,21,50,17,58) (14,53,22,49,18,57) (15,56,23,52,19,60) (16,55,24,51,20,59) (25,66,33,62,29,70) (26,65,34,61,30,69) (27,68,35,64,31,72) (28,67,36,63,32,71)
  (1,71,18,37,35,54) (2,69,19,38,33,55) (3,70,17,39,34,53) (4,72,20,40,36,56) (5,63,22,41,27,58) (6,61,23,42,25,59) (7,62,21,43,26,57) (8,64,24,44,28,60) (9,67,14,45,31,50) (10,65,15,46,29,51) (11,66,13,47,30,49) (12,68,16,48,32,52)