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, 12

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.

5.32-28.0.2-2-2-4.2.1

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

5.32-28.0.2-2-2-4.2.2
  (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)
  (1,28) (2,27) (3,26) (4,25) (5,31) (6,32) (7,29) (8,30) (9,20) (10,19) (11,18) (12,17) (13,23) (14,24) (15,21) (16,22)
  (1,14,3,16) (2,13,4,15) (5,10,7,12) (6,9,8,11) (17,30,19,32) (18,29,20,31) (21,26,23,28) (22,25,24,27)

Display number of generating vectors: