Properties

Label 11.48-23.0.2-24-24.14
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: $4, 38, 47$

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.

11.48-23.0.2-24-24.14.1

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