Properties

Label 13.32-49.0.2-2-2-2-4.17
Genus \(13\)
Quotient genus \(0\)
Group \(D_4:C_2^2\)
Signature \([ 0; 2, 2, 2, 2, 4 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $13$
Quotient genus: $0$
Group name: $D_4:C_2^2$
Group identifier: $[32,49]$
Signature: $[ 0; 2, 2, 2, 2, 4 ]$
Conjugacy classes for this refined passport: $4, 5, 6, 9, 17$

Jacobian variety group algebra decomposition:$E\times E\times E\times E\times E\times A_{2}^{4}$
Corresponding character(s): $5, 11, 14, 15, 16, 17$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.32-49.0.2-2-2-2-4.17.1

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