Properties

Label 11.32-40.0.2-2-4-8.5
Genus \(11\)
Quotient genus \(0\)
Group \(C_2\times \SD_{16}\)
Signature \([ 0; 2, 2, 4, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $11$
Quotient genus: $0$
Group name: $C_2\times \SD_{16}$
Group identifier: $[32,40]$
Signature: $[ 0; 2, 2, 4, 8 ]$
Conjugacy classes for this refined passport: $3, 6, 9, 11$

Jacobian variety group algebra decomposition:$E\times E^{2}\times E^{2}\times A_{3}^{2}$
Corresponding character(s): $7, 10, 11, 12$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

11.32-40.0.2-2-4-8.5.1

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