49.3 CharTableSpecialized

CharTableSpecialized( generic_table, q )

returns a character table which is computed by evaluating the generic character table generic_table at the parameter q.

    gap> t:= CharTableSpecialized( CharTable( "Cyclic" ), 5 );;
    gap> PrintCharTable( t );
    rec( identifier := "C5", name := "C5", size := 5, order :=
    5, centralizers := [ 5, 5, 5, 5, 5 ], orders := [ 1, 5, 5, 5, 5
     ], powermap := [ ,,,, [ 1, 1, 1, 1, 1 ] ], irreducibles :=
    [ [ 1, 1, 1, 1, 1 ], [ 1, E(5), E(5)^2, E(5)^3, E(5)^4 ],
      [ 1, E(5)^2, E(5)^4, E(5), E(5)^3 ],
      [ 1, E(5)^3, E(5), E(5)^4, E(5)^2 ],
      [ 1, E(5)^4, E(5)^3, E(5)^2, E(5) ] ], classparam :=
    [ [ 1, 0 ], [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ] ], irredinfo :=
    [ rec(
          charparam := [ 1, 0 ] ), rec(
          charparam := [ 1, 1 ] ), rec(
          charparam := [ 1, 2 ] ), rec(
          charparam := [ 1, 3 ] ), rec(
          charparam := [ 1, 4 ] )
     ], text := "computed using generic character table for cyclic groups"\
    , classes := [ 1, 1, 1, 1, 1
     ], operations := CharTableOps, fusions := [  ], fusionsource :=
    [  ], projections := [  ], projectionsource := [  ] )

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