Properties

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

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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: 6, 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.

5.32-28.0.2-2-2-4.3.1

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

5.32-28.0.2-2-2-4.3.2
  (1,7) (2,8) (3,5) (4,6) (9,15) (10,16) (11,13) (12,14) (17,23) (18,24) (19,21) (20,22) (25,31) (26,32) (27,29) (28,30)
  (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)
  (1,16,3,14) (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)

Display number of generating vectors: