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, 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.

5.32-28.0.2-2-2-4.4.1

  (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)
  (1,26) (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)
  (1,14,3,16) (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)

5.32-28.0.2-2-2-4.4.2
  (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)
  (1,27) (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)
  (1,15,3,13) (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)

Display number of generating vectors: