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Spracherkennung für: .json vermutete Sprache: Unknown {[0] [0] [0]} [Methode: Schwerpunktbildung, einfache Gewichte, sechs Dimensionen] { "date":"13.09.2023", "comment":[ "The data records are arrays of length 5 or 6.", "The first four entries of each record are the character name,", "the character position, the degree of the character field,", "and a string describing the OD.", "The last entry is a string that lists how the OD was computed,", "as a comma separated sequence of flags.", "For non-simple groups in characteristic 2,", "the record has length 6, and position 5 describes whether", "the matrix group embeds in the simple orthogonal group (value S+)", "or not (value S-).", "The flags listed in the last column mean the following:", "- AGR: verified using the Atlas of Group Representations", "- RP: verified using a representations constructed by Richard Parker", "- const(<rep>): verified using a constituent of the reduction of <rep>", " (a permutation representation from the AGR)", "- order: group order divides the order of only one relevant O+/O- group", "- permchar: chi+1 is a 2-trans. permutation character", "- lift: the p-modular OD arises from the ordinary OD", "- lift(+...): the p-modular OD arises from the ordinary OD and known ODs", "- ev: there is a group element without eigenvalues +-1", "- ext(...): the OD of the restriction to a subgroup is known", "- rest(...): the character is the restriction from an overgroup", "- specht: verified using the Jantzen-Schaper formula", "- syl(<p>): verified by orth. stable restriction to a Sylow <p>-subgroup" ], "names":["A5","L3(2)","A6","L2(8)","L2(11)","L2(13)","L2(17)","A7","L2(19)","L2( "A5":{ "names":["A5","A5.2"], "A5":{ "0":[ ["4a",4,1,"5","OBGN,permchar,AGR,ev,ext(D10),rest(A5.2),syl(5),specht"]], "2":[ ["4a",4,1,"O-","RP,order,AGR,lift,syl(5)"]], "3":[ ["4a",4,1,"O-","RP,order,lift,AGR,ev,ext(D10),syl(5)"]], "5":[]}, "A5.2":{ "0":[ ["6a",3,1,"-5","ind(A5),ext(5:4),specht"], 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