Properties

Genus \(7\)
Quotient Genus \(0\)
Group \(C_2\times \SL(2,3)\)
Signature \([ 0; 3, 4, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 7
Quotient Genus: 0
Group name: $C_2\times \SL(2,3)$
Group identifier: [48,32]
Signature: $[ 0; 3, 4, 6 ]$
Conjugacy classes for this refined passport: 5, 8, 12

Jacobian variety group algebra decomposition:$E\times A_{2}\times A_{2}\times E^{2}$
Corresponding character(s): 3, 7, 8, 9

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

7.48-32.0.3-4-6.1.1

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