Properties

Label 11.32-39.0.2-2-4-8.4
Genus \(11\)
Quotient genus \(0\)
Group \(C_2\times D_8\)
Signature \([ 0; 2, 2, 4, 8 ]\)
Generating Vectors \(2\)

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Family Information

Genus: $11$
Quotient genus: $0$
Group name: $C_2\times D_8$
Group identifier: $[32,39]$
Signature: $[ 0; 2, 2, 4, 8 ]$
Conjugacy classes for this refined passport: $5, 8, 10, 12$

Jacobian variety group algebra decomposition:$E\times E^{2}\times A_{2}^{2}\times A_{2}^{2}$
Corresponding character(s): $8, 9, 11, 13$

Other Data

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

Generating vector(s)

Displaying 2 of 2 generating vectors for this refined passport.

11.32-39.0.2-2-4-8.4.1

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

11.32-39.0.2-2-4-8.4.2
  (1,9) (2,10) (3,12) (4,11) (5,13) (6,14) (7,16) (8,15) (17,25) (18,26) (19,28) (20,27) (21,29) (22,30) (23,32) (24,31)
  (1,22) (2,21) (3,23) (4,24) (5,18) (6,17) (7,19) (8,20) (9,32) (10,31) (11,30) (12,29) (13,28) (14,27) (15,26) (16,25)
  (1,8,2,7) (3,5,4,6) (9,16,10,15) (11,13,12,14) (17,24,18,23) (19,21,20,22) (25,32,26,31) (27,29,28,30)
  (1,28,3,25,2,27,4,26) (5,32,7,29,6,31,8,30) (9,18,11,20,10,17,12,19) (13,22,15,24,14,21,16,23)

Display number of generating vectors: