Properties

Genus \(8\)
Quotient Genus \(0\)
Group \(Q_8:S_3\)
Signature \([ 0; 2, 8, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 8
Quotient Genus: 0
Group name: $Q_8:S_3$
Group identifier: [48,17]
Signature: $[ 0; 2, 8, 12 ]$
Conjugacy classes for this refined passport: 3, 8, 11

Jacobian variety group algebra decomposition:$E^{2}\times E^{2}\times E^{4}$
Corresponding character(s): 8, 10, 12

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

8.48-17.0.2-8-12.1.1

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