Properties

Genus \(4\)
Quotient Genus \(0\)
Group \(S_3^2\)
Signature \([ 0; 2, 2, 2, 3 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

Family Information

Genus: 4
Quotient Genus: 0
Group name: $S_3^2$
Group identifier: [36,10]
Signature: $[ 0; 2, 2, 2, 3 ]$
Conjugacy classes for this refined passport: 2, 3, 4, 7

Jacobian variety group algebra decomposition:$E^{2}\times E^{2}$
Corresponding character(s): 6, 8

Other Data

Hyperelliptic curve(s):No
Cyclic trigonal curve(s):Yes
Trigonal automorphism: (1,5,9) (2,6,7) (3,4,8) (10,14,18) (11,15,16) (12,13,17) (19,23,27) (20,24,25) (21,22,26) (28,32,36) (29,33,34) (30,31,35)

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

4.36-10.0.2-2-2-3.1.1

  (1,10) (2,11) (3,12) (4,16) (5,17) (6,18) (7,13) (8,14) (9,15) (19,28) (20,29) (21,30) (22,34) (23,35) (24,36) (25,31) (26,32) (27,33)
  (1,19) (2,21) (3,20) (4,22) (5,24) (6,23) (7,25) (8,27) (9,26) (10,28) (11,30) (12,29) (13,31) (14,33) (15,32) (16,34) (17,36) (18,35)
  (1,36) (2,35) (3,34) (4,33) (5,32) (6,31) (7,30) (8,29) (9,28) (10,27) (11,26) (12,25) (13,24) (14,23) (15,22) (16,21) (17,20) (18,19)
  (1,5,9) (2,6,7) (3,4,8) (10,14,18) (11,15,16) (12,13,17) (19,23,27) (20,24,25) (21,22,26) (28,32,36) (29,33,34) (30,31,35)