Quelle odresults.json
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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( 16)","L3(3)","U3(3)","L2(23)","L2(25)","M11","L2(27)","L2(29)","L2(31)","L3(4)","A8","U4(2)","Sz(8)","L2(32)","L2(49)","U3(4)","M12","U3(5)","J1","A9","L2(81)","L3(5)","M22","J2","S4(4)","S6(2)","A10","L3(7)","U4(3)","G2(3)","S4(5)","U3(8)","U3(7)","L4(3)","L5(2)","M23","U5(2)","L3(8)","2F4(2)'","A11","Sz(32)","L3(9)","U3(9)","HS","J3","U3(11)","O8+(2)","O8-(2)","3D4(2)","A12","M24","G2(4)","McL","A13","He","O7(3)","S6(3)","G2(5)","U6(2)","R(27)","L6(2)","S8(2)","Ru","Suz","ON","Co3","O8+(3)","O8-(3)","O10+(2)","O10-(2)","Co2","Fi22","HN","F4(2)","S10(2)","Ly","Th","Fi23","Co1"],
"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"],
["4a",4,1,"5","permchar,ev,ext(A5),ext(5:4),specht,syl(5)"],
["4b",5,1,"5","ev,permchar,ext(A5),ext(5:4),specht,syl(5)"]],
"2":[
["4b",3,1,"O-","S-","RP,order,lift,ext(A5),const(S5G1-p5B0),syl(5),ext(5:4)"]],
"3":[
["6a",3,1,"O+","RP,AGR,ext(5:4),lift"],
["4a",4,1,"O-","order,lift,ev,ext(5:4),ext(A5),syl(5)"],
["4b",5,1,"O-","order,ev,lift,ext(5:4),ext(A5),syl(5)"]],
"5":[]}},
"L3(2)":{
"names":["L3(2)","L3(2).2"],
"L3(2)":{
"0":[
["6a",4,1,"-7","OBGN,permchar,ev,ext(7:3),rest(A7),AGR,syl(7)"],
["8a",6,1,"21","OBGN,ext(7:3),AGR"]],
"2":[
["8a",4,1,"O-","RP,AGR,ext(7:3),lift"]],
"3":[
["6a",4,1,"O-","RP,order,lift,ev,AGR,ext(7:3),syl(7)"]],
"7":[]},
"L3(2).2":{
"0":[
["6a",3,1,"-7","ev,permchar,ext(L3(2)),ext(7:6),syl(7)"],
["6b",4,2,"-7","ev,permchar,ext(L3(2)),ext(7:6),syl(7)"],
["6c",5,2,"-7","ev,permchar,ext(L3(2)),ext(7:6),syl(7)"],
["8a",8,1,"21","ext(L3(2)),ext(7:6)"],
["8b",9,1,"21","ext(L3(2)),ext(7:6)"]],
"2":[
["6a",2,1,"O+","S-","RP,order,ext(L3(2)),lift,const(L27d2G1-p8B0),syl(7),ext(7:6)"],
["8a",3,1,"O-","S-","RP,ext(L3(2)),rest(O8-(2).2),lift,const(L27d2G1-p21B0),ext(7:6)"]],
"3":[
["6a",3,1,"O-","RP,order,ev,lift,ext(L3(2)),ext(7:6),syl(7)"],
["6b",4,2,"O+","order,ev,lift,ind(L3(2)),ext(7:6),ext(L3(2)),syl(7)"],
["6c",5,2,"O+","order,ev,lift,ind(L3(2)),ext(7:6),ext(L3(2)),syl(7)"]],
"7":[]}},
"A6":{
"names":["A6","A6.2_1","A6.2_2","A6.2_3"],
"A6":{
"0":[
["8a",4,2,"1","OBGN,permchar,ext(3^2:4),rest(A6.2_2),syl(3)"],
["8b",5,2,"1","OBGN,permchar,ext(3^2:4),rest(A6.2_2),syl(3)"],
["10a",7,1,"-1","OBGN,ext(3^2:4),AGR,specht"]],
"2":[
["8a",4,2,"O+","RP,syl(3),ext(3^2:4)"],
["8b",5,2,"O+","RP,syl(3),ext(3^2:4)"]],
"3":[
["4a",4,1,"O-","RP,order,ev,AGR,ext(A6M2),ext(D10),ext(A5),syl(5)"]],
"5":[
["8a",4,1,"O+","RP,lift,AGR,ext(3^2:4),syl(3)"],
["10a",5,1,"O+","RP,lift,AGR,ext(3^2:4)"]]},
"A6.2_1":{
"0":[
["16a",7,1,"1","ext(A6),ext(s3wrs2),specht,syl(3)"],
["10a",10,1,"-1","ext(A5.2),ext(A6),ext(s3wrs2),ext(5:4),specht"],
["10b",11,1,"-1","ext(A5.2),ext(A6),ext(s3wrs2),ext(5:4),specht"]],
"2":[
["16a",4,1,"O+","S+","RP,ext(s3wrs2),lift,ext(A6),syl(3)"]],
"3":[
["6a",3,1,"O+","RP,ext(5:4),ext(A5.2)"],
["4a",4,1,"O-","order,ev,ext(A6.2_1M3),ext(5:4),ext(A5.2),ext(A6),syl(5)"],
["4b",5,1,"O-","order,ev,ext(A6.2_1M3),ext(5:4),ext(A5.2),ext(A6),syl(5)"]],
"5":[
["8a",7,1,"O+","ext(A6),ext(s3wrs2),syl(3)"],
["8b",8,1,"O+","ext(A6),ext(s3wrs2),syl(3)"],
["10a",9,1,"O+","ext(A6),ext(s3wrs2),lift"],
["10b",10,1,"O+","ext(A6),ext(s3wrs2),lift"]]},
"A6.2_2":{
"0":[
["10a",3,1,"-1","ind(A6)"],
["8a",4,2,"1","permchar,ext(A6),syl(3)"],
["8b",5,2,"1","permchar,ext(A6),syl(3)"],
["8c",6,2,"1","permchar,ext(A6),syl(3)"],
["8d",7,2,"1","permchar,ext(A6),syl(3)"],
["10b",10,2,"-1","ext(A6)"],
["10c",11,2,"-1","ext(A6)"]],
"2":[
["8b",3,2,"O+","S-","RP,ext(A6),syl(3)"],
["8c",4,2,"O+","S-","RP,ext(A6),syl(3)"]],
"3":[
["4a",7,2,"O+","ev,ind(A6),ext(D16),ext(D20),ext(A6),syl(5)"],
["4b",8,2,"O+","ev,ind(A6),ext(D16),ext(D20),ext(A6),syl(5)"]],
"5":[
["10a",3,1,"O+","RP,lift"],
["8a",4,1,"O+","lift,ext(A6),syl(3)"],
["8b",5,1,"O+","lift,ext(A6),syl(3)"],
["10b",6,2,"O+","ind(A6),ext(A6),lift"],
["10c",7,2,"O+","ind(A6),ext(A6),lift"]]},
"A6.2_3":{
"0":[
["10a",3,1,"-1","ind(A6)"],
["16a",4,1,"1","ind(A6),ext(A6),ext(3^2:Q8),syl(3)"]],
"2":[
["16a",3,1,"O+","S+","RP,ext(3^2:Q8),lift,ext(A6),syl(3)"]],
"3":[
["6a",3,1,"O+","RP,ext(5:4)"]],
"5":[
["10a",3,1,"O+","RP,lift"],
["8a",4,1,"O+","ext(A6),syl(3),ext(3^2:Q8)"],
["8b",5,1,"O+","ext(A6),syl(3),ext(3^2:Q8)"]]}},
"L2(8)":{
"names":["L2(8)","L2(8).3"],
"L2(8)":{
"0":[
["8a",6,1,"1","TB,permchar,AGR,ev,ext(D18),syl(3)"]],
"2":[
["4a",5,3,"O+","AGR,ext(2^3:7),syl(3),syl(7)"],
["4b",6,3,"O+","AGR,ext(2^3:7),syl(3),syl(7)"],
["4c",7,3,"O+","AGR,ext(2^3:7),syl(3),syl(7)"],
["8a",8,1,"O+","AGR,lift,syl(3)"]],
"3":[],
"7":[
["8a",6,1,"O+","lift,AGR,ev,ext(D18),syl(3)"]]},
"L2(8).3":{
"0":[
["8a",8,1,"1","permchar,AGR,ev,ext(L2(8)),ext(9:6),rest(A9),syl(3)"]],
"2":[
["12a",5,1,"O+","AGR,ext(7:6),ext(2^3.7.3),ext(L2(8)),syl(3),syl(7),ext(9:6)"],
["8a",6,1,"O+","AGR,lift,ext(L2(8)),syl(3),ext(9:6)"]],
"3":[],
"7":[
["8a",8,1,"O+","lift,AGR,ev,ext(9:6),ext(L2(8)),syl(3)"]]}},
"L2(11)":{
"names":["L2(11)","L2(11).2"],
"L2(11)":{
"0":[
["10a",4,1,"-11","OBGN,AGR,ev,permchar,ext(11:5),syl(11)"],
["10b",5,1,"-11","OBGN,permchar,AGR,ev,ext(11:5),syl(11)"],
["12a",7,2,"22-11b5","OBGN,ext(11:5),AGR"],
["12b",8,2,"11b5+33","OBGN(edited),ext(11:5),AGR"]],
"2":[
["10a",4,1,"O-","RP,order,AGR,ext(11:5),lift,syl(11)"],
["12a",5,2,"O-","RP,AGR,ext(11:5)"],
["12b",6,2,"O-","RP,AGR,ext(11:5)"]],
"3":[
["10a",4,1,"O+","RP,order,lift,AGR,ev,ext(11:5),syl(11)"],
["12a",5,2,"O-","RP,lift,AGR,ext(11:5)"],
["12b",6,2,"O-","RP,lift,AGR,ext(11:5)"]],
"5":[
["10a",4,1,"O+","RP,order,lift,AGR,ev,ext(11:5),syl(11)"],
["10b",5,1,"O+","RP,order,lift,AGR,ev,ext(11:5),syl(11)"]],
"11":[]},
"L2(11).2":{
"0":[
["10a",3,1,"-11","ev,permchar,ext(L2(11)),ext(11:10),syl(11)"],
["10b",4,1,"-11","ev,permchar,ext(L2(11)),ext(11:10),syl(11)"],
["10c",5,1,"-11","ev,permchar,ext(L2(11)),ext(11:10),syl(11)"],
["10d",6,2,"-11","ev,permchar,ext(L2(11)),ext(11:10),syl(11)"],
["10e",7,2,"-11","ev,permchar,ext(L2(11)),ext(11:10),syl(11)"],
["12a",10,2,"22-11b5","ext(L2(11)),ext(11:10)"],
["12b",11,2,"22-11b5","ext(L2(11)),ext(11:10)"],
["12c",12,2,"11b5+33","ext(L2(11)),ext(11:10)"],
["12d",13,2,"11b5+33","ext(L2(11)),ext(11:10)"]],
"2":[
["10a",2,1,"O-","S-","RP,order,AGR,ext(L2(11)),lift,syl(11),ext(11:10)"],
["10b",3,1,"O-","S-","RP,order,AGR,lift,ext(L2(11)),syl(11),ext(11:10)"],
["12a",4,2,"O-","S-","RP,AGR,ext(L2(11)),ext(11:10)"],
["12b",5,2,"O-","S-","RP,AGR,ext(L2(11)),ext(11:10)"]],
"3":[
["10a",3,1,"O+","RP,order,ev,lift,ext(L2(11)),ext(11:10),syl(11)"],
["10b",4,1,"O+","order,ev,lift,ext(11:10),ext(L2(11)),syl(11)"],
["10c",5,1,"O+","order,ev,lift,ext(11:10),ext(L2(11)),syl(11)"],
["12a",6,2,"O-","ext(L2(11)),ext(11:10),lift"],
["12b",7,2,"O-","ext(L2(11)),ext(11:10),lift"],
["12c",8,2,"O-","ext(L2(11)),ext(11:10),lift"],
["12d",9,2,"O-","ext(L2(11)),ext(11:10),lift"]],
"5":[
["10a",3,1,"O+","RP,order,ev,lift,ext(L2(11)),ext(11:10),syl(11)"],
["10b",4,1,"O+","order,ev,lift,ext(11:10),ext(L2(11)),syl(11)"],
["10c",5,1,"O+","order,ev,lift,ext(11:10),ext(L2(11)),syl(11)"],
["10d",6,2,"O+","order,ev,lift,ind(L2(11)),ext(11:10),ext(L2(11)),syl(11)"],
["10e",7,2,"O+","order,ev,lift,ind(L2(11)),ext(11:10),ext(L2(11)),syl(11)"]],
"11":[]}},
"L2(13)":{
"names":["L2(13)","L2(13).2"],
"L2(13)":{
"0":[
["12a",4,3,"13","OBGN,AGR,ev,permchar,ext(13:6),rest(L2(13).2),syl(13)"],
["12b",5,3,"13","OBGN,AGR,ev,permchar,ext(13:6),rest(L2(13).2),syl(13)"],
["12c",6,3,"13","OBGN,AGR,ev,permchar,ext(13:6),rest(L2(13).2),syl(13)"],
["14a",8,1,"-39","OBGN,AGR,ext(13:6),rest(L2(13).2)"],
["14b",9,1,"-39","OBGN,AGR,ext(13:6)"]],
"2":[
["12a",4,3,"O-","RP,AGR,syl(13)"],
["12b",5,3,"O-","RP,AGR,syl(13)"],
["12c",6,3,"O-","RP,AGR,syl(13)"],
["14a",7,1,"O+","RP,AGR,lift"]],
"3":[
["12a",4,3,"O+","RP,lift,ev,ext(13:6),syl(13)"],
["12b",5,3,"O+","RP,lift,ev,ext(13:6),syl(13)"],
["12c",6,3,"O+","RP,lift,ev,ext(13:6),syl(13)"]],
"7":[
["12a",4,1,"O-","RP,order,lift,AGR,ev,ext(13:6),syl(13)"],
["14a",5,1,"O-","RP,lift,ext(13:6)"],
["14b",6,1,"O-","RP,lift,ext(13:6)"]],
"13":[]},
"L2(13).2":{
"0":[
["14a",3,1,"-13","ind(L2(13))"],
["12a",4,3,"13","ev,permchar,ext(L2(13)),syl(13)"],
["12b",5,3,"13","ev,permchar,ext(L2(13)),syl(13)"],
["12c",6,3,"13","ev,permchar,ext(L2(13)),syl(13)"],
["12d",7,3,"13","ev,permchar,ext(L2(13)),syl(13)"],
["12e",8,3,"13","ev,permchar,ext(L2(13)),syl(13)"],
["12f",9,3,"13","ev,permchar,ext(L2(13)),syl(13)"],
["14b",12,1,"-39","ext(L2(13))"],
["14c",13,1,"-39","ext(L2(13))"],
["14d",14,2,"-13","ext(L2(13))"],
["14e",15,2,"-13","ext(L2(13))"]],
"2":[
["12b",3,3,"O-","S-","RP,ext(L2(13)),syl(13)"],
["12c",4,3,"O-","S-","RP,ext(L2(13)),syl(13)"],
["12d",5,3,"O-","S-","RP,ext(L2(13)),syl(13)"],
["14a",6,1,"O+","S-","RP,AGR,lift,ext(L2(13))"]],
"3":[
["14a",3,1,"O-","RP,lift"],
["12a",4,3,"O+","ev,lift,ext(L2(13)),syl(13)"],
["12b",5,3,"O+","ev,lift,ext(L2(13)),syl(13)"],
["12c",6,3,"O+","ev,lift,ext(L2(13)),syl(13)"],
["12d",7,3,"O+","ev,lift,ext(L2(13)),syl(13)"],
["12e",8,3,"O+","ev,lift,ext(L2(13)),syl(13)"],
["12f",9,3,"O+","ev,lift,ext(L2(13)),syl(13)"]],
"7":[
["14a",3,1,"O+","RP,lift"],
["12a",4,1,"O-","order,ev,lift,ext(L2(13)),syl(13)"],
["12b",5,1,"O-","order,ev,lift,ext(L2(13)),syl(13)"],
["14b",6,1,"O-","ext(L2(13)),lift"],
["14c",7,1,"O-","ext(L2(13)),lift"],
["14d",8,2,"O+","ind(L2(13)),ext(L2(13)),lift"],
["14e",9,2,"O+","ind(L2(13)),ext(L2(13)),lift"]],
"13":[]}},
"L2(17)":{
"names":["L2(17)","L2(17).2"],
"L2(17)":{
"0":[
["16a",4,1,"17","TB,AGR,ev,permchar,ext(17:8),rest(L2(17).2),syl(17)"],
["16b",5,3,"17","TB,ev,permchar,ext(17:8),rest(L2(17).2),syl(17)"],
["16c",6,3,"17","TB,ev,permchar,ext(17:8),rest(L2(17).2),syl(17)"],
["16d",7,3,"17","TB,ev,permchar,ext(17:8),rest(L2(17).2),syl(17)"],
["18a",9,1,"-17","TB,AGR,ext(17:8)"],
["18b",10,2,"-17","TB,ext(17:8)"],
["18c",11,2,"-17","TB,ext(17:8)"]],
"2":[
["16a",4,1,"O+","RP,AGR,lift,syl(17)"],
["16b",5,3,"O+","RP,AGR,syl(17)"],
["16c",6,3,"O+","RP,AGR,syl(17)"],
["16d",7,3,"O+","RP,AGR,syl(17)"]],
"3":[
["16a",4,1,"O-","RP,order,lift,AGR,ev,ext(17:8),syl(17)"],
["18a",5,1,"O+","RP,lift,AGR,ext(17:8)"],
["18b",6,2,"O+","RP,lift,AGR,ext(17:8)"],
["18c",7,2,"O+","RP,lift,AGR,ext(17:8)"]],
"17":[]},
"L2(17).2":{
"0":[
["18a",3,1,"-17","ind(L2(17)),ext(17:16)"],
["16a",4,1,"17","ev,permchar,ext(L2(17)),ext(17:16),syl(17)"],
["16b",5,1,"17","ev,permchar,ext(L2(17)),ext(17:16),syl(17)"],
["16c",6,3,"17","ev,permchar,ext(L2(17)),ext(17:16),syl(17)"],
["16d",7,3,"17","ev,permchar,ext(L2(17)),ext(17:16),syl(17)"],
["16e",8,3,"17","ev,permchar,ext(L2(17)),ext(17:16),syl(17)"],
["16f",9,3,"17","ev,permchar,ext(L2(17)),ext(17:16),syl(17)"],
["16g",10,3,"17","ev,permchar,ext(L2(17)),ext(17:16),syl(17)"],
["16h",11,3,"17","ev,permchar,ext(L2(17)),ext(17:16),syl(17)"],
["18b",14,2,"-17","ext(L2(17)),ext(17:16)"],
["18c",15,2,"-17","ext(L2(17)),ext(17:16)"],
["18d",16,4,"-17","ext(L2(17)),ext(17:16)"],
["18e",17,4,"-17","ext(L2(17)),ext(17:16)"],
["18f",18,4,"-17","ext(L2(17)),ext(17:16)"],
["18g",19,4,"-17","ext(L2(17)),ext(17:16)"]],
"2":[
["16b",3,1,"O+","S-","RP,ext(L2(17)),lift,syl(17),ext(17:16)"],
["16c",4,3,"O+","S-","RP,ext(L2(17)),syl(17),ext(17:16)"],
["16d",5,3,"O+","S-","RP,ext(L2(17)),syl(17),ext(17:16)"],
["16e",6,3,"O+","S-","RP,ext(L2(17)),syl(17),ext(17:16)"]],
"3":[
["18a",3,1,"O+","RP,ext(17:16),lift"],
["16a",4,1,"O-","order,ev,lift,ext(17:16),ext(L2(17)),syl(17)"],
["16b",5,1,"O-","order,ev,lift,ext(17:16),ext(L2(17)),syl(17)"],
["18b",6,2,"O+","ind(L2(17)),ext(L2(17)),ext(17:16),lift"],
["18c",7,2,"O+","ind(L2(17)),ext(L2(17)),ext(17:16),lift"],
["18d",8,4,"O+","ind(L2(17)),ext(L2(17)),ext(17:16),lift"],
["18e",9,4,"O+","ind(L2(17)),ext(L2(17)),ext(17:16),lift"],
["18f",10,4,"O+","ind(L2(17)),ext(L2(17)),ext(17:16),lift"],
["18g",11,4,"O+","ind(L2(17)),ext(L2(17)),ext(17:16),lift"]],
"17":[]}},
"A7":{
"names":["A7","A7.2"],
"A7":{
"0":[
["6a",2,1,"-7","TB,permchar,ev,ext(7:3),ext(L3(2)),AGR,syl(7),specht"],
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"names":["G2(3)","G2(3).2"],
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"G2(3).2":{
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["34a",5,1,"O-","ext(A11),ext(11:10),ext(A10.2)"],
["34b",6,1,"O-","ext(A11),ext(11:10),ext(A10.2)"],
["120a",11,1,"O+","lift,ext(S6xS5),ext(A10.2),ext(A11)"],
["120b",12,1,"O+","lift,ext(S6xS5),ext(A10.2),ext(A11)"],
["252a",13,1,"O+","RP,lift,ind(A11),ext(A11),ext(A10.2)"],
["210a",16,1,"O-","lift,ext(A10.2),ext(A11)"],
["210b",17,1,"O-","lift,ext(A10.2),ext(A11)"],
["320a",18,1,"O+","ext(A11)"],
["320b",19,1,"O+","ext(A11)"],
["594a",20,1,"O-","lift,ext(A11)"],
["594b",21,1,"O-","lift,ext(A11)"],
["714a",24,1,"O-","ext(A11)"],
["714b",25,1,"O-","ext(A11)"]],
"5":[
["10a",3,1,"O+","order,lift,ev,ext(11:10),ext(A11),syl(11)"],
["10b",4,1,"O+","order,ev,lift,ext(11:10),ext(A11),syl(11)"],
["110a",13,1,"O-","lift,ext(A11)"],
["110b",14,1,"O-","lift,ext(A11)"],
["120a",15,1,"O+","lift,ext(A10.2),ext(A11)"],
["120b",16,1,"O+","lift,ext(A10.2),ext(A11)"],
["252a",17,1,"O+","RP,lift,ind(A11),ext(A11),ext(A10.2)"],
["266a",18,1,"O+","RP,ext(A10.2)"],
["188a",19,1,"O+","ext(A11),ext(A10.2)"],
["188b",20,1,"O+","ext(A11),ext(A10.2)"],
["210a",21,1,"O+","lift,ext(A10.2),ext(A11)"],
["210b",22,1,"O+","lift,ext(A10.2),ext(A11)"],
["372a",25,1,"O+","ext(A11)"],
["372b",26,1,"O+","ext(A11)"],
["406a",29,1,"O+","ext(A11),ext(A10.2)"],
["406b",30,1,"O+","ext(A11),ext(A10.2)"],
["550a",31,1,"O+","lift,ext(A11)"],
["550b",32,1,"O+","lift,ext(A11)"],
["980a",37,1,"O-","ext(A11)"],
["980b",38,1,"O-","ext(A11)"],
["1100a",41,1,"O+","lift,ext(A11)"],
["1100b",42,1,"O+","lift,ext(A11)"],
["1330a",43,1,"O+","ext(A11)"],
["1330b",44,1,"O+","ext(A11)"]],
"7":[
["10a",3,1,"O-","order,lift,ev,ext(11:10),ext(A11),syl(11)"],
["10b",4,1,"O-","order,ev,lift,ext(11:10),ext(A11),syl(11)"],
["44a",5,1,"O-","lift,ext(11:10),ext(A11)"],
["44b",6,1,"O-","lift,ext(11:10),ext(A11)"],
["66a",9,1,"O-","ext(A11),ext(A10.2)"],
["66b",10,1,"O-","ext(A11),ext(A10.2)"],
["120a",11,1,"O+","lift,ext(A10.2),ext(A11)"],
["120b",12,1,"O+","lift,ext(A10.2),ext(A11)"],
["252a",13,1,"O+","RP,lift,ind(A11),ext(A11),ext(A10.2)"],
["210a",20,1,"O-","lift,ext(A10.2),ext(A11)"],
["210b",21,1,"O-","lift,ext(A10.2),ext(A11)"],
["462a",26,1,"O+","lift,ext(A10.2),ext(A11)"],
["462b",27,1,"O+","lift,ext(A10.2),ext(A11)"],
["474a",28,1,"O-","ext(A11),ext(A10.2)"],
["474b",29,1,"O-","ext(A11),ext(A10.2)"],
["594a",34,1,"O+","ext(A11),ext(A10.2)"],
["594b",35,1,"O+","ext(A11),ext(A10.2)"],
["626a",36,1,"O-","ext(A11)"],
["626b",37,1,"O-","ext(A11)"],
["924a",42,1,"O+","lift,ext(A10.2),ext(A11)"],
["924b",43,1,"O+","lift,ext(A10.2),ext(A11)"],
["1232a",46,1,"O+","lift,ext(A11)"],
["1232b",47,1,"O+","lift,ext(A11)"],
["1540a",48,1,"O+","ext(A11),lift"],
["1540b",49,1,"O+","ext(A11),lift"],
["2310a",50,1,"O+","ext(A11),lift"],
["2310b",51,1,"O+","ext(A11),lift"]],
"11":[
["36a",5,1,"O+","ext(A11),ext(A10.2)"],
["36b",6,1,"O+","ext(A11),ext(A10.2)"],
["44a",7,1,"O+","lift,ext(A11)"],
["44b",8,1,"O+","lift,ext(A11)"],
["84a",9,1,"O+","ext(A11),ext(A10.2)"],
["84b",10,1,"O+","ext(A11),ext(A10.2)"],
["110a",11,1,"O-","lift,ext(A11)"],
["110b",12,1,"O-","lift,ext(A11)"],
["126a",13,1,"O-","ext(A11),ext(A10.2)"],
["126b",14,1,"O-","ext(A11),ext(A10.2)"],
["132a",15,1,"O-","lift,ext(A10.2),ext(A11)"],
["132b",16,1,"O-","lift,ext(A10.2),ext(A11)"],
["330a",21,1,"O+","lift,ext(A10.2),ext(A11)"],
["330b",22,1,"O+","lift,ext(A10.2),ext(A11)"],
["462a",25,1,"O-","lift,ext(A10.2),ext(A11)"],
["462b",26,1,"O-","lift,ext(A10.2),ext(A11)"],
["550a",27,1,"O+","lift,ext(A11)"],
["550b",28,1,"O+","lift,ext(A11)"],
["594a",29,1,"O-","lift,ext(A10.2),ext(A11)"],
["594b",30,1,"O-","lift,ext(A10.2),ext(A11)"],
["1188a",31,1,"O+","RP,lift,ind(A11),ext(A10.2),ext(A11)"],
["660a",32,1,"O+","lift,ext(A10.2),ext(A11)"],
["660b",33,1,"O+","lift,ext(A10.2),ext(A11)"],
["924a",38,1,"O+","lift,ext(A10.2),ext(A11)"],
["924b",39,1,"O+","lift,ext(A10.2),ext(A11)"],
["990a",40,1,"O+","lift,ext(A11)"],
["990b",41,1,"O+","lift,ext(A11)"],
["990c",42,1,"O+","lift,ext(A10.2),ext(A11)"],
["990d",43,1,"O+","lift,ext(A10.2),ext(A11)"],
["1100a",44,1,"O+","lift,ext(A11)"],
["1100b",45,1,"O+","lift,ext(A11)"],
["1232a",48,1,"O+","lift,ext(A11)"],
["1232b",49,1,"O+","lift,ext(A11)"],
["1320a",50,1,"O-","lift,ext(A10.2),ext(A11)"],
["1320b",51,1,"O-","lift,ext(A10.2),ext(A11)"],
["1540a",52,1,"O+","ext(A11),lift"],
["1540b",53,1,"O+","ext(A11),lift"],
["2310a",54,1,"O-","ext(A11),lift"],
["2310b",55,1,"O-","ext(A11),lift"]]}},
"Sz(32)":{
"names":["Sz(32)","Sz(32).5"],
"Sz(32)":{
"0":[
["1024a",14,1,"41","TB,permchar"]],
"2":[
["16a",7,5,"O+","RP,ext(2^(5+5):31),syl(5),syl(31),syl(41)"],
["16b",8,5,"O+","RP,ext(2^(5+5):31),syl(5),syl(31),syl(41)"],
["16c",9,5,"O+","RP,ext(2^(5+5):31),syl(5),syl(31),syl(41)"],
["16d",10,5,"O+","RP,ext(2^(5+5):31),syl(5),syl(31),syl(41)"],
["16e",11,5,"O+","RP,ext(2^(5+5):31),syl(5),syl(31),syl(41)"],
["16f",12,5,"O+","RP,ext(2^(5+5):31),syl(5),syl(31),syl(41)"],
["16g",13,5,"O+","RP,ext(2^(5+5):31),syl(5),syl(31),syl(41)"],
["16h",14,5,"O+","RP,ext(2^(5+5):31),syl(5),syl(31),syl(41)"],
["16i",15,5,"O+","RP,ext(2^(5+5):31),syl(5),syl(31),syl(41)"],
["16j",16,5,"O+","RP,ext(2^(5+5):31),syl(5),syl(31),syl(41)"],
["64a",17,5,"O+","RP,syl(41)"],
["64b",18,5,"O+","RP,syl(41)"],
["64c",19,5,"O+","RP,syl(41)"],
["64d",20,5,"O+","RP,syl(41)"],
["64e",21,5,"O+","RP,syl(41)"],
["64f",22,5,"O+","RP,ext(2^(5+5):31),syl(5),syl(31),syl(41)"],
["64g",23,5,"O+","RP,ext(2^(5+5):31),syl(5),syl(31),syl(41)"],
["64h",24,5,"O+","RP,ext(2^(5+5):31),syl(5),syl(31),syl(41)"],
["64i",25,5,"O+","RP,ext(2^(5+5):31),syl(5),syl(31),syl(41)"],
["64j",26,5,"O+","RP,ext(2^(5+5):31),syl(5),syl(31),syl(41)"],
["256a",27,5,"O+","RP"],
["256b",28,5,"O+","RP"],
["256c",29,5,"O+","RP"],
["256d",30,5,"O+","RP"],
["256e",31,5,"O+","RP"],
["1024a",32,1,"O+","RP,lift"]],
"5":[],
"31":[
["1024a",14,1,"O+","lift"]],
"41":[]},
"Sz(32).5":{
"0":[
["1024a",18,1,"41","ext(Sz(32))"]],
"2":[
["80a",7,1,"O+","ext(Sz(32)),syl(5),syl(31),syl(41)"],
["80b",8,1,"O+","ext(Sz(32)),syl(5),syl(31),syl(41)"],
["320a",9,1,"O+","ext(Sz(32)),syl(41)"],
["320b",10,1,"O+","ext(Sz(32)),syl(5),syl(31),syl(41)"],
["1280a",11,1,"O+","ext(Sz(32))"],
["1024a",12,1,"O+","ext(Sz(32)),lift"]],
"5":[],
"31":[
["1024a",18,1,"O+","lift,ext(Sz(32))"]],
"41":[]}},
"L3(9)":{
"names":["L3(9)","L3(9).2_1","L3(9).2_2","L3(9).2_3"],
"L3(9)":{
"0":[
["90a",2,1,"-91","TB,permchar,ev,ext(91:3),rest(L3(9).2_1),rest(L3(9).2_2),rest(L3(9).2_3)"], | |
