Properties

Genus \(5\)
Quotient Genus \(0\)
Group \(C_2^2:D_4\)
Signature \([ 0; 2, 2, 2, 4 ]\)
Generating Vectors \(2\)

Related objects

Downloads

Learn more about

Family Information

Genus: 5
Quotient Genus: 0
Group name: $C_2^2:D_4$
Group identifier: [32,28]
Signature: $[ 0; 2, 2, 2, 4 ]$
Conjugacy classes for this refined passport: 5, 7, 8, 11

Jacobian variety group algebra decomposition:$E\times E^{2}\times E^{2}$
Corresponding character(s): 8, 12, 13

Other Data

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

Generating Vector(s)

Displaying 2 of 2 generating vectors for this refined passport.

5.32-28.0.2-2-2-4.1.1

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

5.32-28.0.2-2-2-4.1.2
  (1,5) (2,6) (3,7) (4,8) (9,13) (10,14) (11,15) (12,16) (17,21) (18,22) (19,23) (20,24) (25,29) (26,30) (27,31) (28,32)
  (1,17) (2,18) (3,19) (4,20) (5,22) (6,21) (7,24) (8,23) (9,27) (10,28) (11,25) (12,26) (13,32) (14,31) (15,30) (16,29)
  (1,27) (2,28) (3,25) (4,26) (5,32) (6,31) (7,30) (8,29) (9,19) (10,20) (11,17) (12,18) (13,24) (14,23) (15,22) (16,21)
  (1,13,3,15) (2,14,4,16) (5,9,7,11) (6,10,8,12) (17,29,19,31) (18,30,20,32) (21,25,23,27) (22,26,24,28)

Display number of generating vectors: