Properties

Label 11.48-23.0.2-24-24.12
Genus \(11\)
Quotient genus \(0\)
Group \(C_2\times C_{24}\)
Signature \([ 0; 2, 24, 24 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $11$
Quotient genus: $0$
Group name: $C_2\times C_{24}$
Group identifier: $[48,23]$
Signature: $[ 0; 2, 24, 24 ]$
Conjugacy classes for this refined passport: $4, 36, 41$

The full automorphism group for this family is $D_{12}:C_4$ with signature $[ 0; 2, 4, 24 ]$.

Jacobian variety group algebra decomposition:$A_{2}\times E\times E\times A_{4}\times A_{2}\times E$
Corresponding character(s): $4, 6, 18, 20, 22, 26$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

11.48-23.0.2-24-24.12.1

  (1,14) (2,13) (3,16) (4,15) (5,18) (6,17) (7,20) (8,19) (9,22) (10,21) (11,24) (12,23) (25,38) (26,37) (27,40) (28,39) (29,42) (30,41) (31,44) (32,43) (33,46) (34,45) (35,48) (36,47)
  (1,35,8,25,10,32,3,34,5,27,12,29,2,36,7,26,9,31,4,33,6,28,11,30) (13,47,20,37,22,44,15,46,17,39,24,41,14,48,19,38,21,43,16,45,18,40,23,42)
  (1,41,11,39,6,46,4,44,9,37,7,47,2,42,12,40,5,45,3,43,10,38,8,48) (13,29,23,27,18,34,16,32,21,25,19,35,14,30,24,28,17,33,15,31,22,26,20,36)