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, 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.

8.48-17.0.2-8-12.3.1

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