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, 9, 12

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.

8.48-17.0.2-8-12.4.1

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