Properties

Label 11.24-9.0.2-3-4-12.6
Genus \(11\)
Quotient genus \(0\)
Group \(C_2\times C_{12}\)
Signature \([ 0; 2, 3, 4, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $11$
Quotient genus: $0$
Group name: $C_2\times C_{12}$
Group identifier: $[24,9]$
Signature: $[ 0; 2, 3, 4, 12 ]$
Conjugacy classes for this refined passport: $3, 6, 8, 21$

Jacobian variety group algebra decomposition:$E\times E\times A_{4}\times A_{2}\times E\times A_{2}$
Corresponding character(s): $3, 10, 11, 12, 13, 14$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

11.24-9.0.2-3-4-12.6.1

  (1,7) (2,8) (3,9) (4,10) (5,11) (6,12) (13,19) (14,20) (15,21) (16,22) (17,23) (18,24)
  (1,5,3) (2,6,4) (7,11,9) (8,12,10) (13,17,15) (14,18,16) (19,23,21) (20,24,22)
  (1,14,2,13) (3,16,4,15) (5,18,6,17) (7,20,8,19) (9,22,10,21) (11,24,12,23)
  (1,21,6,20,3,23,2,22,5,19,4,24) (7,15,12,14,9,17,8,16,11,13,10,18)