Properties

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

Related objects

Downloads

Learn more about

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, 14

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.

7.48-32.0.3-4-6.2.1

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