Properties

Genus \(7\)
Quotient Genus \(0\)
Group \(D_9:C_3\)
Signature \([ 0; 2, 6, 9 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 7
Quotient Genus: 0
Group name: $D_9:C_3$
Group identifier: [54,6]
Signature: $[ 0; 2, 6, 9 ]$
Conjugacy classes for this refined passport: 2, 7, 9

Jacobian variety group algebra decomposition:$E\times E^{6}$
Corresponding character(s): 3, 10

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

7.54-6.0.2-6-9.2.1

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