################################################################################ ##<#GAPDoc Label="SCNrRegularTorus"> ## <ManSection> ## <Func Name="SCNrRegularTorus" Arg="n"/> ## <Returns>an integer upon success, <K>fail</K> otherwise.</Returns> ## <Description> ## Returns the number of simplicial regular maps on the torus with <M>n</M> vertices, ## cf. <Cite Key="Brehm08EquivMapsTorus"/> for details. ## <Example><![CDATA[ ## gap> SCNrRegularTorus(9); ## gap> SCNrRegularTorus(10); ## ]]></Example> ## </Description> ## </ManSection> ##<#/GAPDoc> ################################################################################ function (n)if not IsPosInt(n) or n < 7 then fi ;if IsSquareInt(n) or IsSquareInt(3 *n) then 1 ;else 0 ;fi ;end );################################################################################ ##<#GAPDoc Label="SCNrChiralTori"> ## <ManSection> ## <Func Name="SCNrChiralTori" Arg="n"/> ## <Returns>an integer upon success, <K>fail</K> otherwise.</Returns> ## <Description> ## Returns the number of simplicial chiral maps on the torus with <M>n</M> vertices, ## cf. <Cite Key="Brehm08EquivMapsTorus"/> for details. ## <Example><![CDATA[ ## gap> SCNrChiralTori(7); ## gap> SCNrChiralTori(343); ## ]]></Example> ## </Description> ## </ManSection> ##<#/GAPDoc> ################################################################################ function (n)if not IsPosInt(n) or n < 7 then fi ;6 = 1 );6 = 5 );2 )));for elm in qSet do if p = [] or ForAny(b,x->IsOddInt(x)) then 0 ;fi ;1 ;for elm in pSet do 1 );1 /2 *numSurfs);end );function (list)if not ForAll(list,x->IsDuplicateFreeList(x)) then fi ;for elm in list do if not IsDuplicateFreeList(tmpList) then fi ;for elm in list do 1 ..Maximum(elm)];for j in [1 ..Size(elm)-1 ] do 1 ];1 ];for elm in pList do end ;################################################################################ ##<#GAPDoc Label="SCSeriesSymmetricTorus"> ## <ManSection> ## <Func Name="SCSeriesSymmetricTorus" Arg="p, q"/> ## <Returns>a <K>SCSimplicialComplex</K> object upon success, <K>fail</K> otherwise.</Returns> ## <Description> ## Returns the equivarient triangulation of the torus <M>\{ 3,6 \}_{(p,q)}</M> with ## fundamental domain <M>(p,q)</M> on the <M>2</M>-dimensional integer lattice. ## See <Cite Key="Brehm08EquivMapsTorus"/> for details. ## <Example><![CDATA[ ## gap> c:=SCSeriesSymmetricTorus(2,1); ## gap> SCFVector(c); ## ]]></Example> ## </Description> ## </ManSection> ##<#/GAPDoc> ################################################################################ function (p,q)6 cycle,3 cycle,2 cycle,done ,idx,mat,trig,G,c;# generators of automorphism group 1 ,-1 ,1 ],[1 ,0 ,0 ],[0 ,0 ,1 ]];0 ,-1 ,0 ],[1 ,1 ,0 ],[0 ,0 ,1 ]];if q=0 then 0 ,-1 ,p],[-1 ,0 ,p],[0 ,0 ,1 ]];elif p=q then 1 ,0 ,0 ],[-1 ,-1 ,3 *p],[0 ,0 ,1 ]];else 1 ,0 ,0 ],[0 ,1 ,0 ],[0 ,0 ,1 ]];fi ;# vertices 2 +p*q+p^2 ;for x in [-q..p-1 ] do for y in [0 ..p+2 *q-1 ] do if a < 0 or b < 0 or a >= n or b >= n then continue; fi ;# permuations # phi: rotation around origin 6 cycle:=[];0 ;for i in [1 ..n] do done :=false;for elm in 6 cycle do if verts[i] in elm then done :=true; break; fi ;if done then continue; fi ;1 ]],[verts[i][2 ]],[1 ]];1 ;6 cycle[idx]:=[];1 ,0 ,0 ],[0 ,1 ,0 ],[0 ,0 ,1 ]];for j in [1 ..6 ] do if not [imv[1 ][1 ],imv[2 ][1 ]] in verts then 1 ][1 ]+q*imv[2 ][1 ];1 ][1 ]+p*imv[2 ][1 ];while a < 0 do 1 ][1 ]:=imv[1 ][1 ]+(p);2 ][1 ]:=imv[2 ][1 ]+(q);1 ][1 ]+q*imv[2 ][1 ];while a >= n do 1 ][1 ]:=imv[1 ][1 ]+(-p);2 ][1 ]:=imv[2 ][1 ]+(-q);1 ][1 ]+q*imv[2 ][1 ];while b < 0 do 1 ][1 ]:=imv[1 ][1 ]+(-q);2 ][1 ]:=imv[2 ][1 ]+(p+q);1 ][1 ]+p*imv[2 ][1 ];while b >= n do 1 ][1 ]:=imv[1 ][1 ]+(q);2 ][1 ]:=imv[2 ][1 ]+(-p-q);1 ][1 ]+p*imv[2 ][1 ];fi ;if not [imv[1 ][1 ],imv[2 ][1 ]] in verts then 2 ,"SCSeriesSymmetricTorus: error in vertices." );fi ;if [imv[1 ][1 ],imv[2 ][1 ]] in 6 cycle[idx] then fi ;6 cycle[idx],[imv[1 ][1 ],imv[2 ][1 ]]);# psi: rotation around the center of a triangle 3 cycle:=[];0 ;for i in [1 ..n] do done :=false;for elm in 3 cycle do if verts[i] in elm then done :=true; break; fi ;if done then continue; fi ;1 ]],[verts[i][2 ]],[1 ]];1 ;3 cycle[idx]:=[];1 ,0 ,0 ],[0 ,1 ,0 ],[0 ,0 ,1 ]];for j in [1 ..3 ] do if not [imv[1 ][1 ],imv[2 ][1 ]] in verts then 1 ][1 ]+q*imv[2 ][1 ];1 ][1 ]+p*imv[2 ][1 ];while a < 0 do 1 ][1 ]:=imv[1 ][1 ]+(p);2 ][1 ]:=imv[2 ][1 ]+(q);1 ][1 ]+q*imv[2 ][1 ];while a >= n do 1 ][1 ]:=imv[1 ][1 ]+(-p);2 ][1 ]:=imv[2 ][1 ]+(-q);1 ][1 ]+q*imv[2 ][1 ];while b < 0 do 1 ][1 ]:=imv[1 ][1 ]+(-q);2 ][1 ]:=imv[2 ][1 ]+(p+q);1 ][1 ]+p*imv[2 ][1 ];while b >= n do 1 ][1 ]:=imv[1 ][1 ]+(q);2 ][1 ]:=imv[2 ][1 ]+(-p-q);1 ][1 ]+p*imv[2 ][1 ];fi ;if not [imv[1 ][1 ],imv[2 ][1 ]] in verts then 2 ,"SCSeriesSymmetricTorus: error in vertices." );fi ;if [imv[1 ][1 ],imv[2 ][1 ]] in 3 cycle[idx] then fi ;3 cycle[idx],[imv[1 ][1 ],imv[2 ][1 ]]);# sigma: reflection (only in regular case) 2 cycle:=[];0 ;for i in [1 ..n] do done :=false;for elm in 2 cycle do if verts[i] in elm then done :=true; break; fi ;if done then continue; fi ;1 ]],[verts[i][2 ]],[1 ]];1 ;2 cycle[idx]:=[];1 ,0 ,0 ],[0 ,1 ,0 ],[0 ,0 ,1 ]];for j in [1 ..2 ] do if not [imv[1 ][1 ],imv[2 ][1 ]] in verts then 1 ][1 ]+q*imv[2 ][1 ];1 ][1 ]+p*imv[2 ][1 ];while a < 0 do 1 ][1 ]:=imv[1 ][1 ]+(p);2 ][1 ]:=imv[2 ][1 ]+(q);1 ][1 ]+q*imv[2 ][1 ];while a >= n do 1 ][1 ]:=imv[1 ][1 ]+(-p);2 ][1 ]:=imv[2 ][1 ]+(-q);1 ][1 ]+q*imv[2 ][1 ];while b < 0 do 1 ][1 ]:=imv[1 ][1 ]+(-q);2 ][1 ]:=imv[2 ][1 ]+(p+q);1 ][1 ]+p*imv[2 ][1 ];while b >= n do 1 ][1 ]:=imv[1 ][1 ]+(q);2 ][1 ]:=imv[2 ][1 ]+(-p-q);1 ][1 ]+p*imv[2 ][1 ];fi ;if not [imv[1 ][1 ],imv[2 ][1 ]] in verts then 2 ,"SCSeriesSymmetricTorus: error in vertices." );fi ;if [imv[1 ][1 ],imv[2 ][1 ]] in 2 cycle[idx] then fi ;2 cycle[idx],[imv[1 ][1 ],imv[2 ][1 ]]);# triangle of map 0 ,0 ],[1 ,0 ],[0 ,1 ]];for i in [1 ,2 ,3 ] do if not trig[i] in verts then 1 ]+q*trig[i][2 ];1 ]+p*trig[i][2 ];while a < 0 do 1 ]:=trig[i][1 ]+(p);2 ]:=trig[i][2 ]+(q);1 ]+q*trig[i][2 ];while a >= n do 1 ]:=trig[i][1 ]+(-p);2 ]:=trig[i][2 ]+(-q);1 ]+q*trig[i][2 ];while b < 0 do 1 ]:=trig[i][1 ]+(-q);2 ]:=trig[i][2 ]+(p+q);1 ]+p*trig[i][2 ];while b >= n do 1 ]:=trig[i][1 ]+(q);2 ]:=trig[i][2 ]+(-p-q);1 ]+p*trig[i][2 ];fi ; 1 ]),Position(verts,trig[2 ]),Position(verts,trig[3 ])];# map vertices to integers 1,2,... for i in [1 ..Size(6 cycle)] do for j in [1 ..Size(6 cycle[i])] do 6 cycle[i][j]:=Position(verts,6 cycle[i][j]);for i in [1 ..Size(3 cycle)] do for j in [1 ..Size(3 cycle[i])] do 3 cycle[i][j]:=Position(verts,3 cycle[i][j]);for i in [1 ..Size(2 cycle)] do for j in [1 ..Size(2 cycle[i])] do 2 cycle[i][j]:=Position(verts,2 cycle[i][j]);# convert lists to permutations 2 cycle:=SCIntFunc.PermList(2 cycle);3 cycle:=SCIntFunc.PermList(3 cycle);6 cycle:=SCIntFunc.PermList(6 cycle);2 cycle,3 cycle,6 cycle]);"{3,6}_(" ,String(p),"," ,String(q),")" ));"T^2" );end );################################################################################ ##<#GAPDoc Label="SCRegularTorus"> ## <ManSection> ## <Func Name="SCRegularTorus" Arg="n"/> ## <Returns>a <K>SCSimplicialComplex</K> object upon success, <K>fail</K> otherwise.</Returns> ## <Description> ## Returns a list of regular triangulations of the torus with <M>n</M> vertices (the ## length of the list will be at most <M>1</M>). ## See <Cite Key="Brehm08EquivMapsTorus"/> for details. ## <Example><![CDATA[ ## gap> cc:=SCRegularTorus(9); ## gap> g:=SCAutomorphismGroup(cc[1]); ## gap> SCNumFaces(cc[1],0)*12 = Size(g); ## ]]></Example> ## </Description> ## </ManSection> ##<#/GAPDoc> ################################################################################ function (n)if SCNrRegularTorus(n) = fail then elif SCNrRegularTorus(n) = 0 then fi ;if IsSquareInt(n) then 0 ;elif IsSquareInt(3 *n) then 3 );3 );else fi ;end );################################################################################ ##<#GAPDoc Label="SCChiralTori"> ## <ManSection> ## <Func Name="SCChiralTori" Arg="n"/> ## <Returns>a <K>SCSimplicialComplex</K> object upon success, <K>fail</K> otherwise.</Returns> ## <Description> ## Returns a list of chiral triangulations of the torus with <M>n</M> vertices. ## See <Cite Key="Brehm08EquivMapsTorus"/> for details. ## <Example><![CDATA[ ## gap> cc:=SCChiralTori(91); ## gap> SCIsIsomorphic(cc[1],cc[2]); ## ]]></Example> ## </Description> ## </ManSection> ##<#/GAPDoc> ################################################################################ function (n)done ,l,m;if SCNrChiralTori(n) = fail then elif l = 0 then fi ;done :=false;for q in [1 ..n] do for p in [q+1 ..n] do if m < n then elif m = n then if Size(list) >= l then done :=true;fi ;elif m > n then fi ;if done = true then fi ;end );################################################################################ ##<#GAPDoc Label="SCRegularMaps"> ## <ManSection> ## <Func Name="SCRegularMaps" Arg=""/> ## <Returns>a list of lists upon success, <K>fail</K> otherwise.</Returns> ## <Description> ## Returns a list of all simplicial (hyperbolic) regular maps of orientable genus up to <M>100</M> ## or non-orientable genus up to <M>200</M>. The list was generated with the help of ## the classification of regular maps by Marston Conder <Cite Key="Conder09RegMapsOfBdChi"/>. ## ## Every regular map is given by a <M>3</M>-tuple <M>(m,g,or)</M> where <M>m</M> is the ## vertex valence, <M>g</M> is the genus and <M>or</M> is a boolean stating if the ## map is orientable or not. ## ## Use the <M>3</M>-tuples of the list together with <Ref Func="SCRegularMap"/> ## to get the corresponding triangulations. ## <M>g</M> ## <Example><![CDATA[ ## gap> ll:=SCRegularMaps(){[1..10]}; ## gap> c:=SCRegularMap(ll[5][1],ll[5][2],ll[5][3]); ## gap> SCHomology(c); ## gap> SCGenerators(c); ## ]]></Example> ## </Description> ## </ManSection> ##<#/GAPDoc> ################################################################################ function ()7 ,3 ,true],[7 ,7 ,true],[7 ,8 ,false],[7 ,14 ,true],7 ,15 ,false],[7 ,147 ,false],[8 ,3 ,true],[8 ,5 ,true],8 ,8 ,true],[8 ,9 ,false],[8 ,16 ,true],[8 ,17 ,true],8 ,17 ,false],[8 ,22 ,true],[8 ,23 ,false],[8 ,33 ,true],8 ,46 ,true],[8 ,47 ,false],[8 ,52 ,true],[8 ,65 ,true],8 ,82 ,true],[8 ,85 ,true],[8 ,86 ,false],[9 ,10 ,true],9 ,15 ,true],[9 ,16 ,false],[9 ,43 ,true],[9 ,69 ,true],9 ,70 ,false],[9 ,96 ,true],[9 ,97 ,false],[10 ,6 ,true],10 ,13 ,true],[10 ,14 ,false],[10 ,25 ,true],[10 ,26 ,true],10 ,26 ,false],[10 ,45 ,true],[10 ,46 ,false],[10 ,49 ,true],10 ,65 ,true],[10 ,73 ,true],[10 ,74 ,false],[10 ,89 ,true],10 ,116 ,false],[10 ,134 ,false],[10 ,170 ,false],11 ,26 ,true],[12 ,10 ,true],[12 ,13 ,true],[12 ,25 ,true],12 ,28 ,true],[12 ,29 ,false],[12 ,33 ,true],[12 ,37 ,true],12 ,49 ,true],[12 ,56 ,true],[12 ,57 ,false],[12 ,65 ,true],12 ,73 ,true],[12 ,76 ,true],[12 ,82 ,true],[12 ,92 ,true],12 ,93 ,false],[12 ,97 ,true],[13 ,50 ,true],[13 ,51 ,false],14 ,15 ,true],[14 ,49 ,true],[14 ,99 ,true],[14 ,106 ,false],14 ,146 ,false],[15 ,37 ,true],[15 ,73 ,true],[15 ,76 ,true],16 ,21 ,true],[16 ,41 ,true],[16 ,81 ,true],[17 ,134 ,false],18 ,28 ,true],[18 ,82 ,true],[18 ,170 ,false],[20 ,36 ,true],20 ,85 ,true],[20 ,86 ,false],[20 ,177 ,false],[22 ,45 ,true],24 ,55 ,true],[24 ,73 ,true],[26 ,66 ,true],[28 ,78 ,true],30 ,91 ,true]];end );################################################################################ ##<#GAPDoc Label="SCRegularMap"> ## <ManSection> ## <Func Name="SCRegularMap" Arg="m, g, orient"/> ## <Returns>a <K>SCSimplicialComplex</K> object upon success, <K>fail</K> otherwise.</Returns> ## <Description> ## Returns the (hyperbolic) regular map of vertex valence <Arg>m</Arg>, genus <Arg>g</Arg> and orientability ## <Arg>orient</Arg> if existent and <K>fail</K> otherwise. ## ## The triangulations were generated with the help of ## the classification of regular maps by Marston Conder <Cite Key="Conder09RegMapsOfBdChi"/>. ## ## Use <Ref Func="SCRegularMaps"/> to get a list of all regular maps available. ## <Example><![CDATA[ ## gap> SCRegularMaps(){[1..10]}; ## gap> c:=SCRegularMap(7,7,true); ## gap> g:=SCAutomorphismGroup(c); ## gap> Size(g); ## ]]></Example> ## </Description> ## </ManSection> ##<#/GAPDoc> ################################################################################ function (m,g,orient)if not IsPosInt(m) or m < 7 or not IsInt(g) and g >= 2 then 1 ,"SCRegularMap: argument 1 must be an integer > 6, argument 2 must be an integer > 1." );fi ;if not orient in [true, false] then 1 ,"SCRegularMap: argument 3 must be true or false." );fi ;if not orient then 6 *(2 -g)/(6 -m);2 *m*(2 -g)/(6 -m);1 ]:=1 ,24 )( 2 ,22 )( 4 ,16 )( 5 ,23 )( 6 ,10 )( 7 ,26 )( 8 ,25 )( 9 ,28 )(11 ,19 )(12 ,31 )14 ,35 )(15 ,34 )(18 ,27 )(20 ,30 )(21 ,29 )(32 ,33 ), 1 ,36 ,18 , 4 ,15 ,32 ,17 )( 2 , 8 ,33 ,27 ,11 ,14 ,20 )( 3 ,26 ,23 ,22 ,10 ,25 ,16 )5 ,30 ,12 ,29 , 9 , 7 ,21 )( 6 ,35 ,31 ,28 ,13 ,34 ,19 ) ];2 ]:=1 , 6 )( 2 , 8 )( 3 ,10 )( 4 ,17 )( 7 ,12 )( 9 ,20 )(11 ,19 )(14 ,15 )(16 ,21 ), 1 , 9 ,15 ,17 ,14 , 3 ,16 , 7 )( 2 ,11 ,21 , 5 ,10 ,20 ,18 , 6 )( 8 ,12 ,19 ,13 ) ];3 ]:=1 , 2 ,15 ,16 ,18 , 6 , 4 ,21 )( 3 ,20 , 9 ,14 ,17 , 5 , 7 ,13 )( 8 ,12 ,19 ,10 ), 1 , 9 , 5 )( 2 , 7 ,20 ,21 ,15 , 4 )( 3 , 8 ,10 ,13 ,16 , 6 )(11 ,12 ,14 ,18 ,17 ,19 ) ];4 ]:=[ ( 2 , 5 )( 4 , 6 )( 7 ,18 )( 8 ,15 )( 9 ,16 )(10 ,14 )(11 ,13 )(12 ,17 ), 1 ,11 ,16 , 4 ,12 ,14 , 6 , 7 ,13 , 3 ,10 ,15 , 2 , 8 ,17 )( 5 , 9 ,18 ) ];5 ]:=1 ,20 ,41 ,19 ,22 ,64 ,68 ,73 ,70 ,53 ,33 ,12 ,56 )( 2 ,16 ,69 ,45 ,28 ,60 , 4 ,39 ,43 ,35 ,77 ,55 , 3 )( 5 ,47 ,24 ,76 ,40 ,21 ,44 , 8 ,52 ,11 , 7 ,30 ,59 )( 6 ,54 ,31 ,26 ,38 ,65 ,63 ,71 ,78 ,74 ,46 ,29 ,37 )( 9 ,61 ,58 ,14 ,32 ,67 ,42 ,36 ,57 ,13 ,72 ,51 ,17 )(10 ,27 ,62 ,66 ,75 ,48 ,23 ,34 ,15 ,49 ,25 ,50 ,18 ), ( 1 ,33 ,29 ,11 , 8 , 6 )( 2 ,21 ,30 ,35 , 9 ,17 )3 ,27 ,28 ,38 , 7 ,22 )( 4 ,12 ,31 )( 5 ,24 ,32 ,26 ,10 ,39 )(13 ,37 ,14 ,23 ,15 ,25 )16 ,20 ,19 ,34 ,36 ,18 )(40 ,70 ,41 ,59 ,72 ,58 )(42 ,46 ,51 ,55 ,61 ,54 )(43 ,75 ,67 ,49 ,73 ,53 )(44 ,71 ,60 ,62 ,77 ,68 )(45 ,74 ,56 )(47 ,76 ,69 ,66 ,78 ,57 )(48 ,64 ,50 ,65 ,52 ,63 ) ];6 ]:=1 , 3 ,10 )( 2 ,12 ,17 )( 4 ,25 ,26 )( 5 , 6 ,22 )( 7 ,16 ,15 )( 8 ,13 ,23 )( 9 ,18 ,20 )11 ,21 ,28 )(14 ,24 ,19 ), ( 1 ,24 ,21 ,10 , 3 ,15 ,14 )( 2 ,12 ,11 , 8 ,27 , 6 , 7 )4 ,20 , 5 ,13 ,25 , 9 ,17 )(16 ,28 ,18 ,23 ,19 ,22 ,26 ) ];7 ]:=1 , 9 ,39 ,24 , 3 ,14 ,43 ,19 )( 2 ,15 ,40 ,22 , 4 ,12 ,32 ,25 )( 6 ,45 ,37 ,20 ,13 ,26 ,33 ,18 )7 ,21 ,11 ,17 )( 8 ,41 ,29 ,23 ,10 ,36 ,44 ,16 )(27 ,28 ,31 ,38 ,35 ,30 ,42 ,34 ), 1 ,16 ,37 ,11 , 4 ,21 ,36 , 6 )( 3 ,22 ,34 ,10 , 5 ,20 ,31 ,12 )( 7 ,19 ,42 ,39 ,15 ,23 ,26 ,35 )8 ,18 ,14 ,24 )( 9 ,17 ,30 ,29 ,13 ,25 ,43 ,38 )(27 ,28 ,40 ,44 ,33 ,41 ,45 ,32 ) ];8 ]:=1 ,12 ,18 , 3 )( 2 , 7 ,10 ,15 , 5 ,14 ,11 ,13 )( 4 ,17 ,21 , 9 , 8 ,19 ,16 , 6 )22 ,45 ,24 ,60 ,34 ,53 ,35 ,47 )(23 ,55 ,39 ,54 ,40 ,50 ,29 ,51 )(25 ,48 ,36 ,52 )26 ,57 ,27 ,58 ,37 ,61 ,33 ,43 )(28 ,44 ,30 ,63 )(31 ,49 ,42 ,59 ,41 ,62 ,38 ,46 )(32 ,56 ), 1 ,39 , 2 ,42 , 4 ,36 )( 3 ,31 ,10 ,28 , 7 ,24 )( 5 ,33 ,17 ,27 ,13 ,30 )( 6 ,26 , 9 ,38 ,12 ,34 )8 ,32 ,16 ,41 ,19 ,35 )(11 ,40 ,20 ,29 ,14 ,37 )(15 ,23 ,18 ,25 ,21 ,22 )(43 ,63 ,44 ,57 ,46 ,60 )(45 ,49 ,52 )(47 ,48 ,59 ,51 ,55 ,54 )(50 ,62 ,58 ,56 ,61 ,53 ) ];9 ]:=2 ,10 )( 3 ,15 )( 4 ,22 )( 6 ,14 )( 7 ,17 )( 8 ,24 )(12 ,13 )(16 ,34 )(18 ,30 )(19 ,31 )20 ,35 )(21 ,36 )(23 ,29 )(26 ,33 )(27 ,32 ), 1 ,24 ,36 ,29 ,16 ,19 ,32 , 8 )( 2 , 6 ,12 ,26 )( 3 ,33 ,13 , 4 , 7 ,27 ,21 ,17 )5 , 9 ,10 ,20 ,23 ,31 ,18 ,14 )(11 ,22 ,30 ,25 ,34 ,28 ,35 ,15 ) ];10 ]:=1 , 9 , 5 )( 2 , 3 , 6 , 4 , 7 , 8 )(10 ,23 ,13 ,24 ,16 ,22 )(11 ,20 ,14 ,21 ,17 ,19 )12 ,26 ,15 ,27 ,18 ,25 ), ( 1 ,25 ,18 , 9 ,24 ,14 , 5 ,20 ,10 )( 2 ,26 ,16 , 7 ,22 ,15 , 6 ,21 ,11 )( 3 ,27 ,17 , 8 ,23 ,13 , 4 ,19 ,12 ) ];11 ]:=1 ,38 ,27 ,55 )( 2 ,39 ,41 ,32 )( 3 ,11 ,36 ,49 )( 4 ,52 ,18 ,66 )( 5 ,53 ,62 ,64 )6 ,54 ,43 ,46 )( 7 ,40 ,24 ,35 )( 8 ,19 ,13 ,50 )( 9 ,16 ,37 ,23 )(10 ,21 ,30 ,59 )12 ,51 ,29 ,61 )(14 ,63 ,42 ,33 )(15 ,58 ,17 ,26 )(20 ,44 ,57 ,31 )(22 ,28 ,56 ,25 )(34 ,60 )45 ,47 )(48 ,65 ), ( 1 ,46 ,39 ,31 ,37 )( 2 ,29 ,50 ,51 ,41 , 3 ,48 ,63 ,60 ,24 )4 ,20 ,30 ,35 ,36 , 8 ,64 ,54 ,45 ,56 )( 5 ,47 ,44 ,25 ,13 , 7 ,49 ,52 ,43 ,59 )6 ,34 ,15 ,22 ,27 , 9 ,62 ,58 ,65 ,57 )(10 ,26 ,16 ,32 ,38 ,17 ,66 ,11 ,33 ,40 )12 ,14 ,28 ,23 ,21 ,18 ,55 ,53 ,42 ,61 ) ];12 ]:=1 ,24 ,17 ,25 ,64 ,31 ,62 ,32 ,52 ,51 , 4 ,59 )( 2 ,57 ,14 ,23 ,65 , 6 ,60 ,15 ,28 ,48 ,39 ,66 )3 ,58 ,13 ,29 ,34 ,43 ,50 ,35 ,63 , 7 ,54 ,20 )( 5 ,19 ,12 ,27 ,42 ,44 ,38 ,33 ,49 ,46 ,55 ,11 )8 ,40 ,21 ,22 ,61 ,41 ,56 ,37 , 9 ,47 ,18 ,30 )(10 ,36 ,16 ,26 ,53 ,45 ), 1 ,26 ,36 ,17 ,30 ,35 ,61 ,66 ,39 , 9 ,50 ,40 )( 2 ,48 ,59 ,18 ,28 ,38 ,42 ,11 ,46 ,57 ,21 ,25 )3 ,32 ,58 ,20 ,23 ,33 ,64 ,45 , 4 ,49 ,60 ,13 )( 5 ,14 ,24 ,15 ,27 ,37 ,53 ,63 ,56 ,43 ,10 ,41 )6 , 7 ,47 ,19 ,12 ,22 ,34 ,65 ,55 ,52 ,62 ,44 )( 8 ,51 ,54 ,16 ,29 ,31 ) ];13 ]:=1 , 46 , 67 , 40 ,131 , 57 ,118 ,126 , 90 , 35 )( 2 , 75 ,128 , 42 ,116 , 20 ,135 , 15 ,59 ,117 )( 3 , 74 , 14 , 41 ,110 , 38 ,112 ,103 , 88 ,102 )( 4 , 72 ,127 , 6 , 50 ,54 , 44 ,125 , 91 ,115 )( 5 , 58 ,108 , 36 ,109 , 56 ,107 , 79 , 23 , 80 )7 , 49 , 65 , 43 , 84 ,101 , 82 , 99 , 83 ,100 )( 8 , 17 , 69 , 12 , 60 ,130 , 39 ,124 ,92 ,121 )( 9 , 26 , 48 , 37 , 98 ,134 ,120 ,113 , 24 ,132 )( 10 , 73 , 89 , 45 , 13 , 70 ,111 , 11 , 71 ,104 )( 16 , 68 , 97 , 63 ,114 , 22 ,133 ,129 , 32 , 28 )18 , 52 , 96 , 62 ,106 , 55 , 25 , 81 ,105 , 31 )( 19 , 66 , 93 , 30 , 51 , 53 , 94 , 87 ,122 , 33 )( 21 , 78 , 77 , 61 , 76 )( 27 , 47 , 64 , 95 , 86 ,119 , 85 ,123 , 34 , 29 ), 1 ,103 , 96 , 31 ,130 ,135 , 27 , 70 , 94 , 6 ,134 ,107 , 33 , 89 ,133 )2 ,125 ,105 , 55 ,110 ,132 , 16 , 73 , 93 , 36 ,131 ,121 , 53 , 71 ,123 )3 ,126 , 5 , 79 ,108 , 80 , 48 , 74 , 47 , 41 , 95 , 42 , 86 , 88 , 85 )4 , 15 , 77 , 76 ,117 , 69 , 46 , 49 , 43 , 40 , 63 ,120 , 82 , 83 , 24 )7 , 92 , 25 , 8 ,128 , 78 , 28 ,104 , 68 , 26 ,101 , 44 , 30 , 91 ,118 )9 , 56 ,109 , 35 , 54 , 75 , 29 , 38 , 98 , 32 , 57 ,112 , 34 , 20 ,124 )10 , 87 , 23 ,113 , 14 , 81 , 18 ,102 , 67 , 58 , 51 , 45 , 64 , 59 ,119 )11 , 97 , 61 ,114 ,111 , 66 , 17 , 99 , 12 , 62 ,106 ,115 , 65 , 72 , 19 )13 ,129 , 21 ,116 ,127 , 52 , 50 ,100 , 37 , 60 ,122 , 39 , 84 , 90 , 22 ) ];14 ]:=1 ,35 ,24 ,32 , 5 ,40 , 7 )( 2 ,34 ,14 ,13 ,33 , 4 ,26 )( 3 , 6 ,16 ,23 ,30 ,19 ,39 )8 ,38 ,42 , 9 ,22 ,10 ,15 )(11 ,20 ,41 ,17 ,25 ,21 ,18 )(12 ,29 ,37 ,31 ,27 ,36 ,28 ), 1 ,41 ,15 ,30 , 8 ,14 )( 2 , 5 ,22 ,40 ,37 ,16 )( 3 ,25 ,42 ,12 ,39 ,24 )( 4 ,17 ,26 ,32 ,31 ,23 )6 ,38 , 7 )( 9 ,36 ,34 ,28 ,19 ,21 )(10 ,13 ,35 ,11 ,29 ,20 )(18 ,27 ,33 ) ];15 ]:=2 , 5 ,17 ,12 , 4 , 7 ,19 ,13 , 3 , 6 ,18 ,11 )( 8 ,20 ,29 ,14 , 9 ,21 ,31 ,16 ,10 ,22 ,30 ,15 )23 ,27 ,36 ,42 ,50 ,52 ,44 ,54 ,48 ,39 ,33 ,24 )(25 ,26 ,35 ,41 ,51 ,46 ,55 ,53 ,45 ,47 ,38 ,32 )28 ,37 ,43 ,49 ,40 ,34 ), ( 1 ,28 ,21 ,41 ,32 , 4 ,30 , 5 ,55 ,35 ,14 ,40 )( 2 ,52 ,17 ,25 ,46 ,12 ,24 , 7 ,31 ,23 ,50 ,29 )( 3 ,53 ,20 ,47 ,45 ,16 ,38 , 6 ,54 ,37 ,49 ,39 )8 ,44 ,36 ,33 ,10 ,13 ,26 ,22 ,43 ,15 ,51 ,18 )( 9 ,19 ,27 ,34 ,42 ,11 ) ];16 ]:=1 ,14 ,44 ,31 ,30 , 4 )( 2 ,46 ,41 ,19 ,50 ,47 )( 3 ,22 ,43 )( 5 ,12 ,21 ,48 , 7 ,40 )6 , 9 ,36 ,53 , 8 ,17 )(10 ,29 ,15 ,33 ,37 ,42 )(11 ,34 ,54 ,45 ,24 ,39 )(13 ,28 ,26 )16 ,38 ,27 ,25 ,55 ,51 )(18 ,23 ,20 ,52 ,49 ,32 ), ( 1 ,42 , 5 ,49 )( 2 ,31 )( 3 ,33 , 8 ,24 )4 ,29 ,25 , 6 )( 7 ,48 ,13 ,22 )( 9 ,40 ,50 ,37 )(10 ,55 )(11 ,14 ,38 ,28 )(12 ,51 ,17 ,18 )15 ,32 ,27 ,54 )(16 ,19 ,21 ,30 )(23 ,34 ,41 ,43 )(26 ,47 ,45 ,52 )(35 ,44 ,39 ,53 )(36 ,46 ) 17 ]:=1 , 16 ,124 , 79 , 38 ,110 ,101 , 20 , 71 )( 2 , 93 , 31 , 75 , 57 , 44 ,122 , 83 , 7 )3 , 26 ,128 , 61 , 43 ,113 , 96 , 27 , 4 )( 5 , 13 ,126 ,134 , 62 ,105 ,116 ,131 , 82 )6 , 12 , 76 , 32 ,127 , 64 , 41 ,112 , 97 )( 8 , 47 , 65 ,136 , 73 , 92 , 48 ,104 , 98 )9 , 23 , 95 , 10 , 19 , 99 , 25 , 17 , 58 )( 11 , 56 , 30 ,133 , 63 ,130 ,106 ,114 ,100 )14 , 69 , 87 , 55 ,108 ,117 ,107 , 81 , 37 )( 15 , 78 , 86 , 46 ,115 ,102 , 18 , 59 , 29 )21 , 70 , 33 , 53 , 77 ,129 ,111 , 90 , 42 )( 22 , 68 , 60 , 45 ,121 , 84 , 35 , 91 , 49 )28 , 54 , 66 , 39 ,123 , 80 , 52 ,103 , 94 )( 34 , 40 ,125 ,135 , 72 ,118 ,132 , 85 , 36 )50 ,109 ,119 , 67 ,120 , 74 , 88 , 51 , 89 ), ( 1 , 80 , 35 , 31 , 43 , 78 , 12 , 96 )2 , 97 , 5 , 84 , 52 ,134 , 46 ,124 )( 3 , 90 , 36 , 28 , 41 , 63 , 53 ,122 )4 , 83 , 7 , 79 , 38 ,128 , 19 , 95 )( 6 , 86 , 62 ,127 , 23 , 99 , 59 , 82 )8 ,129 , 72 ,133 ,112 , 93 , 91 , 98 )( 9 , 64 , 54 , 20 )( 10 , 61 , 75 , 17 , 24 ,58 , 71 , 27 )( 11 ,102 , 60 ,135 ,111 , 26 ,110 , 70 )( 13 ,114 , 37 , 88 , 48 ,125 ,45 ,121 )( 14 ,116 , 65 ,120 ,132 , 30 ,118 , 74 )( 15 ,113 , 76 , 81 ,100 , 33 ,130 , 73 16 ,115 , 56 , 85 , 42 , 87 , 55 ,123 )( 18 , 25 , 57 , 68 )( 21 ,101 , 66 ,119 ,107 ,32 ,105 , 69 )( 22 , 44 , 77 , 47 ,131 , 29 , 92 , 51 )( 34 ,117 , 67 ,136 ,106 ,126 ,103 , 94 )( 39 ,108 , 40 ,104 , 49 , 89 , 50 ,109 ) ];18 ]:=1 , 3 , 49 , 44 , 22 , 18 , 55 , 27 )( 2 , 35 , 74 , 31 , 26 , 19 ,108 , 41 )4 , 20 , 15 , 67 , 58 , 88 , 51 , 5 )( 6 , 70 , 85 , 21 )( 7 , 90 , 29 , 16 , 47 ,57 , 99 , 37 )( 8 , 11 , 32 , 76 , 89 , 87 , 65 , 52 )( 9 , 38 , 66 , 13 , 23 , 83 ,82 , 68 )( 10 , 14 , 92 , 60 )( 12 , 25 , 43 , 64 ,104 , 80 , 24 , 30 )17 , 62 , 33 , 97 ,100 , 78 , 63 , 56 )( 28 , 95 , 53 , 59 , 93 , 61 , 81 , 46 )34 , 98 , 69 , 73 , 40 ,106 ,107 , 36 )( 39 , 54 , 94 ,103 , 71 , 96 , 48 , 42 )45 , 86 ,101 , 91 , 77 , 79 ,102 , 50 )( 72 , 75 , 84 ,105 ), 1 , 24 ,100 , 89 , 31 , 41 , 52 , 63 ,104 , 44 )( 2 , 48 ,103 , 45 , 61 , 66 , 30 , 79 ,83 , 15 )( 3 , 14 , 47 , 23 , 59 , 95 , 90 , 38 , 70 , 49 )( 4 , 7 , 86 , 64 , 16 ,46 ,102 , 34 ,106 , 74 )( 5 , 88 , 67 , 22 , 21 , 68 , 91 , 99 , 60 , 27 )6 , 94 , 93 , 62 , 28 , 98 , 92 , 11 , 19 , 32 )( 8 , 65 , 33 , 58 , 13 , 37 ,105 , 96 ,71 , 85 )( 9 , 84 , 40 , 97 , 53 , 56 , 42 , 75 , 57 , 25 )( 10 , 36 ,107 , 72 , 82 , 29 ,51 , 17 , 87 , 76 )( 12 , 55 , 20 , 18 , 43 , 26 , 73 , 81 , 39 ,108 )( 50 , 80 )54 , 78 , 69 , 77 ,101 ) ];19 ]:=1 , 90 ,173 , 77 ,151 , 69 ,128 , 45 ,251 , 76 ,233 , 81 )( 2 , 89 ,174 , 78 ,152 , 70 ,127 , 46 ,252 , 75 ,234 , 82 )( 3 ,113 ,237 ,108 ,241 , 29 , 92 ,105 ,199 ,115 ,217 ,124 )4 ,114 ,238 ,107 ,242 , 30 , 91 ,106 ,200 ,116 ,218 ,123 )( 5 ,175 ,248 ,167 ,243 ,169 ,6 ,176 ,247 ,168 ,244 ,170 )( 7 , 11 ,206 ,185 , 73 ,149 ,211 ,165 ,197 ,109 ,227 ,156 )8 , 12 ,205 ,186 , 74 ,150 ,212 ,166 ,198 ,110 ,228 ,155 )( 9 ,103 , 57 ,177 , 38 , 33 ,48 , 23 ,214 , 96 , 66 , 14 )( 10 ,104 , 58 ,178 , 37 , 34 , 47 , 24 ,213 , 95 , 65 , 13 )15 ,129 ,139 , 17 , 56 , 51 , 16 ,130 ,140 , 18 , 55 , 52 )( 19 ,239 ,145 ,189 ,138 ,236 ,20 ,240 ,146 ,190 ,137 ,235 )( 21 ,231 ,179 ,216 ,194 , 36 ,183 , 60 ,131 ,144 , 93 ,226 )22 ,232 ,180 ,215 ,193 , 35 ,184 , 59 ,132 ,143 , 94 ,225 )( 25 , 42 ,220 , 64 , 98 ,172 ,26 , 41 ,219 , 63 , 97 ,171 )( 27 ,221 ,118 , 83 ,100 , 62 ,121 , 80 ,181 , 39 ,153 ,203 )28 ,222 ,117 , 84 , 99 , 61 ,122 , 79 ,182 , 40 ,154 ,204 )( 31 ,133 ,102 , 68 ,141 , 43 ,126 ,245 ,164 ,210 ,250 , 88 )( 32 ,134 ,101 , 67 ,142 , 44 ,125 ,246 ,163 ,209 ,249 , 87 )49 ,191 ,187 ,224 ,230 , 54 , 50 ,192 ,188 ,223 ,229 , 53 )( 71 ,201 ,158 ,159 ,111 ,195 ,72 ,202 ,157 ,160 ,112 ,196 )( 85 ,147 ,208 ,162 ,135 ,119 , 86 ,148 ,207 ,161 ,136 ,120 ),1 ,144 , 53 ,251 , 62 ,190 , 99 ,242 , 50 ,131 , 4 , 86 ,150 ,214 ,202 , 31 , 44 ,159 ,177 ,197 ,119 )( 2 ,143 , 54 ,252 , 61 ,189 ,100 ,241 , 49 ,132 , 3 , 85 ,149 ,213 ,201 ,32 , 43 ,160 ,178 ,198 ,120 )( 5 , 28 , 35 , 63 ,118 ,209 ,135 ,234 , 38 ,188 , 34 , 48 ,224 , 24 ,238 ,147 ,163 , 80 , 97 , 21 , 40 )( 6 , 27 , 36 , 64 ,117 ,210 ,136 ,233 , 37 ,187 , 33 , 47 ,223 , 23 ,237 ,148 ,164 , 79 , 98 , 22 , 39 )( 7 ,157 , 11 ,134 ,169 ,115 ,232 ,239 ,123 , 74 ,192 ,114 , 82 ,230 ,110 , 89 ,235 ,194 , 77 ,176 ,142 )8 ,158 , 12 ,133 ,170 ,116 ,231 ,240 ,124 , 73 ,191 ,113 , 81 ,229 ,109 , 90 ,236 ,193 ,78 ,175 ,141 )( 9 , 51 ,103 ,200 ,220 ,102 ,221 ,161 ,184 , 84 ,196 ,121 ,225 ,208 ,182 ,67 ,171 ,151 , 66 , 56 , 14 )( 10 , 52 ,104 ,199 ,219 ,101 ,222 ,162 ,183 , 83 ,195 ,122 ,226 ,207 ,181 , 68 ,172 ,152 , 65 , 55 , 13 )( 15 ,185 , 46 ,146 , 94 , 76 , 71 ,250 ,211 ,167 ,166 ,246 ,112 ,107 , 59 ,137 , 29 ,228 , 18 ,105 , 70 )( 16 ,186 , 45 ,145 , 93 , 75 ,72 ,249 ,212 ,168 ,165 ,245 ,111 ,108 , 60 ,138 , 30 ,227 , 17 ,106 , 69 )19 ,154 ,217 ,140 ,179 , 92 , 41 ,155 , 58 ,248 ,126 , 88 ,244 , 96 ,205 , 25 ,128 ,215 ,130 ,173 ,204 )( 20 ,153 ,218 ,139 ,180 , 91 , 42 ,156 , 57 ,247 ,125 , 87 ,243 , 95 ,206 ,26 ,127 ,216 ,129 ,174 ,203 ) ];20 ]:=2 , 3 , 5 , 8 ,12 ,16 ,20 ,26 ,30 ,33 ,35 ,34 ,32 ,28 ,24 ,19 ,15 ,11 , 7 , 4 )6 , 9 ,13 ,14 ,10 )(17 ,21 ,22 ,18 )(23 ,27 ,31 ,29 ,25 ), 1 , 2 , 3 )( 4 , 6 , 5 )( 7 ,11 , 9 )( 8 ,10 ,12 )(13 ,15 ,17 )(14 ,18 ,16 )(19 ,23 ,21 )20 ,22 ,25 )(24 ,28 ,27 )(26 ,29 ,30 )(31 ,32 ,33 )(34 ,36 ,35 ), 2 , 3 )( 4 , 5 )( 7 , 8 )( 9 ,10 )(11 ,12 )(13 ,14 )(15 ,16 )(17 ,18 )(19 ,20 )(21 ,22 )23 ,25 )(24 ,26 )(27 ,29 )(28 ,30 )(32 ,33 )(34 ,35 ) ];21 ]:=1 ,52 ,80 , 8 ,10 ,49 ,38 )( 2 ,62 ,89 ,13 ,17 ,91 ,56 )( 3 ,32 ,60 ,25 , 5 ,75 ,76 )4 ,21 ,46 ,35 ,20 , 9 ,85 )( 6 ,57 ,84 ,39 ,14 ,77 ,82 )( 7 ,54 ,31 ,59 ,19 ,41 ,18 )11 ,70 ,23 ,44 ,36 ,40 ,22 )(12 ,65 ,79 ,72 ,43 ,87 ,34 )(15 ,86 ,53 ,26 ,63 ,33 ,83 )16 ,74 ,51 ,50 ,45 ,37 ,90 )(24 ,69 ,55 ,27 ,73 ,48 ,42 )(28 ,71 ,61 ,47 ,58 ,68 ,67 )29 ,64 ,88 ,30 ,66 ,78 ,81 ), ( 1 ,57 ,33 ,41 ,88 ,79 , 6 ,46 ,10 , 4 ,24 ,90 )2 ,78 ,21 ,61 ,73 ,68 ,23 ,64 ,39 ,52 ,45 ,60 )( 3 , 8 ,84 ,81 ,29 ,62 )( 5 ,63 ,38 ,20 ,77 ,12 ,11 ,87 ,35 ,72 ,91 ,22 )( 7 ,50 ,82 ,74 ,58 , 9 ,30 ,40 ,47 ,16 ,17 ,37 )13 ,65 ,66 ,31 ,26 ,89 ,25 ,51 ,69 ,44 ,76 ,70 )(14 ,49 ,75 ,56 ,86 ,71 ,19 ,43 ,34 ,59 ,67 ,15 )18 ,27 ,83 ,32 ,36 ,42 ,55 ,85 ,80 ,53 ,48 ,54 ) ];22 ]:=1 , 8 ,71 ,74 ,68 ,69 ,45 ,43 ,82 ,51 ,27 ,14 )( 2 ,20 , 7 ,79 ,64 ,89 ,39 ,87 ,42 ,52 ,32 ,16 )3 ,78 ,72 ,53 ,29 ,24 )( 4 ,31 ,19 ,11 ,65 ,75 ,44 ,67 ,84 ,37 ,33 ,21 )( 5 ,58 ,57 ,61 ,56 ,62 ,38 ,60 ,59 ,47 ,28 ,17 )( 6 ,80 ,40 ,86 ,66 ,54 ,26 ,22 , 9 ,50 ,30 ,23 )10 ,77 ,49 ,34 ,18 ,12 ,41 ,73 ,83 ,48 ,35 ,15 )(13 ,81 ,76 ,90 ,70 ,91 ,46 ,88 ,85 ,55 ,36 ,25 )1 ,70 )( 2 ,65 )( 3 ,64 )( 4 ,68 )( 5 ,67 )( 7 ,39 )( 8 ,29 )( 9 ,69 )(10 ,56 )(11 ,48 )12 ,66 )(13 ,18 )(14 ,81 )(15 ,76 )(16 ,90 )(17 ,88 )(19 ,46 )(20 ,36 )(21 ,91 )(22 ,63 )23 ,55 )(24 ,85 )(26 ,71 )(27 ,79 )(28 ,78 )(30 ,41 )(32 ,80 )(33 ,58 )(34 ,50 )(35 ,77 )37 ,74 )(38 ,73 )(42 ,75 )(43 ,57 )(44 ,49 )(45 ,72 )(47 ,86 )(51 ,89 )(52 ,61 )(54 ,83 )59 ,87 )(62 ,82 ) ];23 ]:=1 , 48 , 90 ,127 , 22 , 76 ,134 ,143 ,125 ,155 ,118 ,178 ,175 , 13 ,180 ,100 , 6 ,150 , 91 2 ,131 , 89 , 16 ,156 ,144 , 70 ,149 ,117 ,154 , 54 ,179 ,174 , 29 , 5 ,185 , 87 ,120 , 99 )( 3 , 43 , 46 ,140 , 85 , 80 , 37 , 33 , 56 , 62 ,147 ,164 ,163 ,115 ,168 ,170 ,190 ,108 , 95 )( 4 , 26 , 74 ,186 ,129 ,124 ,130 ,157 ,146 ,160 , 19 ,116 ,176 , 69 ,148 ,181 , 94 , 9 , 98 )( 7 , 81 , 92 , 34 , 12 , 58 ,133 , 65 ,152 ,159 ,142 , 52 ,177 ,113 ,24 , 75 ,182 , 40 ,101 )( 8 ,109 , 93 ,167 , 38 ,136 ,128 , 82 ,106 , 36 ,145 , 59 , 44 ,119 ,161 , 83 ,102 , 32 , 97 )( 10 ,137 , 88 , 79 ,103 , 30 ,132 , 41 ,138 ,158 , 86 ,105 ,31 ,114 , 57 ,172 ,112 ,162 , 96 )( 11 , 39 ,139 , 68 , 20 ,104 , 35 , 50 , 60 ,173 , 27 ,55 ,184 ,188 , 28 , 71 ,183 ,110 ,123 )( 14 , 25 , 73 , 63 ,151 ,126 ,166 , 53 ,189 ,171 ,18 , 72 ,111 , 66 ,121 , 42 ,141 , 51 , 84 )( 15 ,122 , 61 , 67 ,153 ,165 , 17 , 49 ,169 ,64 , 23 , 78 ,187 , 47 , 45 ,135 , 21 , 77 ,107 ), 1 , 62 )( 2 , 63 )( 3 , 41 )( 4 , 56 )( 5 , 57 )( 6 , 58 )( 7 , 61 )( 9 , 60 )10 , 59 )( 11 , 42 )( 12 , 91 )( 13 ,104 )( 14 ,117 )( 15 ,126 )( 16 ,173 )( 17 ,159 )18 , 78 )( 19 ,165 )( 20 ,181 )( 21 ,111 )( 22 , 95 )( 23 ,108 )( 25 ,112 )( 26 ,109 )27 , 36 )( 28 ,110 )( 29 ,103 )( 30 , 65 )( 31 ,164 )( 32 ,153 )( 33 , 93 )( 34 ,147 )35 ,158 )( 37 ,119 )( 38 , 96 )( 39 ,182 )( 40 ,121 )( 44 ,167 )( 45 , 47 )( 46 ,132 )48 , 98 )( 49 ,179 )( 50 , 90 )( 51 ,169 )( 52 ,189 )( 53 ,184 )( 54 , 84 )( 55 ,177 )64 , 76 )( 66 ,124 )( 67 ,186 )( 68 ,144 )( 69 , 80 )( 70 ,136 )( 72 ,190 )( 73 , 88 )74 , 97 )( 75 , 82 )( 77 ,170 )( 79 ,172 )( 81 ,185 )( 85 ,100 )( 86 ,175 )( 87 ,122 )89 ,145 )( 92 ,114 )( 94 ,156 )(101 ,129 )(102 ,116 )(105 ,115 )(106 ,113 )(107 ,118 )120 ,151 )(123 ,143 )(125 ,188 )(127 ,138 )(128 ,139 )(130 ,135 )(131 ,137 )(133 ,140 )134 ,141 )(142 ,160 )(146 ,171 )(148 ,180 )(149 ,162 )(152 ,174 )(155 ,166 )(157 ,187 )161 ,176 )(168 ,178 ) ];24 ]:=1 ,136 , 2 ,103 , 43 , 57 ,135 , 21 ,145 )( 3 ,154 , 20 ,102 , 8 , 61 , 54 , 24 ,125 )4 ,146 , 52 ,109 ,134 , 58 ,175 , 33 ,140 )( 5 , 90 , 40 , 86 , 88 , 56 , 99 , 23 , 89 )6 ,126 , 38 ,112 , 26 , 60 , 19 , 28 , 44 )( 7 ,148 , 50 ,107 , 74 , 62 ,189 , 34 ,144 )9 , 10 , 45 , 41 ,101 , 59 , 70 , 37 , 27 )( 11 ,152 , 51 ,111 ,113 , 64 ,184 , 32 , 75 )12 ,147 , 47 ,105 ,128 , 63 ,169 , 30 ,138 )( 13 ,150 , 49 , 72 ,127 , 68 ,187 , 36 ,114 )14 , 76 , 46 ,110 ,132 , 69 ,124 , 31 ,141 )( 15 ,149 , 39 ,104 ,133 , 67 ,190 , 25 ,139 )16 ,153 , 42 ,106 ,131 , 65 , 85 , 29 ,143 )( 17 ,151 , 53 ,100 ,129 , 66 ,180 , 22 ,137 )18 ,115 , 48 ,108 ,130 , 55 ,162 , 35 ,142 )( 71 , 91 , 97 , 96 , 98 , 87 , 93 , 95 , 94 )73 ,156 ,182 ,177 , 84 ,116 ,173 ,181 ,179 )( 77 ,160 ,185 ,186 ,123 ,118 ,171 ,176 , 80 )78 ,155 ,167 ,166 ,168 ,117 ,163 ,165 ,164 )( 79 ,158 ,178 , 82 ,161 ,122 ,172 ,183 ,119 )81 ,157 , 83 ,159 ,188 ,121 ,174 ,120 ,170 ), 1 ,150 )( 2 ,149 )( 3 ,153 )( 4 ,154 )( 5 ,146 )( 6 ,126 )( 7 ,152 )( 8 ,103 )9 ,151 )( 11 , 90 )( 12 ,148 )( 13 ,147 )( 14 , 45 )( 15 , 28 )( 16 ,136 )( 17 ,115 )18 , 61 )( 19 , 76 )( 20 ,176 )( 21 ,183 )( 22 ,184 )( 23 ,158 )( 24 ,131 )( 25 ,182 )26 ,108 )( 27 ,181 )( 29 , 95 )( 30 ,171 )( 31 ,165 )( 32 , 50 )( 34 ,141 )( 35 ,120 )36 , 66 )( 37 , 81 )( 38 ,179 )( 39 ,180 )( 40 ,157 )( 41 ,130 )( 42 ,178 )( 43 ,107 )44 ,177 )( 46 , 94 )( 47 ,170 )( 48 ,164 )( 51 ,140 )( 52 ,119 )( 53 , 65 )( 54 , 80 )55 ,190 )( 56 ,161 )( 57 ,134 )( 58 ,188 )( 59 ,111 )( 60 ,186 )( 62 , 98 )( 63 ,174 )64 ,168 )( 67 ,144 )( 68 ,123 )( 70 , 84 )( 71 ,162 )( 72 ,135 )( 73 ,189 )( 74 ,112 )75 ,187 )( 77 , 99 )( 78 ,175 )( 79 ,169 )( 82 ,145 )( 83 ,124 )( 86 ,127 )( 87 ,160 )88 ,104 )( 89 ,159 )( 92 ,156 )( 93 ,155 )( 96 ,137 )( 97 ,116 )(100 ,133 )(102 ,132 )105 ,129 )(106 ,128 )(109 ,125 )(110 ,113 )(114 ,185 )(117 ,173 )(118 ,167 )(121 ,143 )138 ,172 )(139 ,166 ) ];25 ]:=1 ,21 ,17 , 5 ,70 ,69 ,44 )( 2 ,48 ,66 ,71 ,42 , 8 ,74 )( 3 ,28 ,39 ,36 ,20 ,16 ,38 )4 ,35 ,78 ,29 ,11 ,34 ,27 )( 6 ,58 ,60 ,75 ,54 ,52 ,12 )( 7 ,37 ,64 ,63 ,10 ,23 ,15 )9 ,43 ,22 ,13 ,30 ,46 ,33 )(14 ,73 ,19 ,18 ,72 ,65 ,24 )(25 ,59 ,31 ,47 ,49 ,45 ,67 )26 ,53 ,32 ,62 ,40 ,56 ,41 )(50 ,76 ,55 ,61 ,57 ,51 ,68 ), 1 ,66 ,45 ,56 ,73 ,72 ,25 ,26 ,74 ,63 ,52 ,54 )( 2 ,37 ,40 ,16 ,23 ,24 ,69 ,46 ,59 ,17 ,48 ,58 )3 ,75 ,14 ,62 ,68 ,31 ,65 ,12 ,13 ,36 ,77 , 9 )( 4 ,30 ,19 ,28 ,15 ,53 ,42 ,49 ,70 ,22 ,18 ,38 )5 ,35 ,27 , 7 ,41 ,29 ,50 ,20 ,33 ,51 ,11 ,67 )( 6 ,10 ,34 ,71 , 8 ,78 ,44 ,60 ,47 ,55 ,61 ,32 )21 ,64 ,76 ,39 ,43 ,57 ) ];26 ]:=1 ,25 ,66 ,38 ,65 ,37 )( 2 ,56 ,73 ,69 ,60 ,19 )( 3 ,13 ,47 ,63 ,78 ,54 )( 4 ,31 ,59 )5 ,68 ,45 )( 6 ,70 ,64 ,10 ,41 ,28 )( 7 ,35 ,77 ,50 ,75 ,43 )( 8 ,44 ,62 ,71 ,49 ,11 )9 ,51 ,23 ,33 ,36 ,15 )(12 ,26 ,46 ,20 ,17 ,72 )(14 ,57 ,32 ,34 ,55 ,39 )(16 ,74 ,24 ,29 ,58 ,27 )(18 ,52 ,76 ,53 ,22 ,67 )(21 ,42 ,40 ,30 ,48 ,61 ), 1 ,77 ,55 ,51 ,71 ,64 , 2 ,62 ,54 ,25 ,69 ,76 )( 3 ,57 ,78 ,70 , 5 ,53 )( 4 ,39 ,17 ,33 ,52 ,10 ,7 ,26 ,34 ,31 ,38 , 8 )( 6 ,24 ,11 ,15 ,75 ,65 ,16 ,22 ,12 ,13 ,63 ,72 )( 9 ,73 ,43 ,28 ,61 ,74 ,21 ,67 ,36 ,56 ,50 ,59 )(14 ,47 ,32 ,66 ,27 ,45 ,19 ,58 ,60 ,68 ,29 ,44 )18 ,37 ,42 ,48 ,49 ,41 ,30 ,35 ,20 ,46 ,23 ,40 ) ];27 ]:=1 , 8 ,70 ,50 , 4 , 2 ,25 ,74 ,18 , 3 , 5 ,42 ,66 ,11 )( 6 ,13 ,20 ,10 ,29 , 7 ,45 )9 ,38 ,77 ,17 ,21 ,16 ,72 ,63 ,12 ,32 ,27 ,73 ,52 ,15 )(14 ,19 ,26 ,56 ,40 ,24 ,23 ,41 ,28 ,47 ,30 ,33 ,44 ,37 )(22 ,35 ,55 ,57 ,69 ,36 ,48 ,58 ,43 ,53 ,31 ,62 ,67 ,59 )(34 ,71 ,46 ,75 ,65 ,39 ,64 ,49 ,78 ,60 ,54 ,51 ,61 ,76 ), ( 1 ,16 ,56 ,49 ,15 ,78 ,57 )( 2 ,20 ,27 ,58 ,65 ,43 ,14 )3 ,30 ,76 ,51 ,37 ,18 ,39 )( 4 ,59 ,53 ,36 ,11 ,71 ,60 )( 5 ,25 ,42 ,74 ,63 ,61 ,32 )6 ,41 ,38 ,26 ,45 , 8 ,70 )( 7 ,13 ,77 ,19 ,55 ,28 , 9 )(10 ,44 ,67 ,34 ,54 ,48 ,33 )17 ,75 ,23 ,73 ,50 ,35 ,46 )(21 ,40 ,69 ,68 ,22 ,24 ,52 )(29 ,66 ,47 ,31 ,64 ,62 ,72 ) ];28 ]:=1 , 34 )( 2 , 98 )( 3 ,152 )( 4 ,107 )( 5 ,150 )( 6 , 30 )( 8 , 33 )( 9 , 27 )10 , 42 )( 11 ,139 )( 12 ,102 )( 13 ,140 )( 14 ,151 )( 15 ,138 )( 16 , 83 )( 17 ,118 )18 , 59 )( 19 ,120 )( 20 , 40 )( 21 ,146 )( 22 ,143 )( 23 ,167 )( 24 ,128 )( 25 ,166 )26 , 32 )( 28 , 35 )( 36 , 50 )( 37 , 94 )( 38 , 97 )( 39 , 44 )( 41 , 56 )( 43 ,105 )46 , 81 )( 47 ,119 )( 48 ,108 )( 49 ,116 )( 51 , 63 )( 52 , 82 )( 53 ,117 )( 54 ,114 )55 ,115 )( 57 ,132 )( 58 ,109 )( 60 , 66 )( 61 , 93 )( 62 , 95 )( 64 , 92 )( 65 , 89 )67 ,145 )( 68 , 86 )( 69 ,144 )( 70 , 90 )( 71 , 72 )( 73 , 80 )( 74 , 78 )( 76 , 79 )84 , 96 )( 85 , 91 )( 87 ,125 )( 88 ,123 )( 99 ,170 )(100 ,134 )(101 ,165 )(103 ,121 )104 ,160 )(110 ,124 )(111 ,159 )(112 ,137 )(113 ,130 )(122 ,141 )(127 ,129 )(131 ,153 )133 ,142 )(135 ,158 )(136 ,163 )(147 ,171 )(148 ,149 )(154 ,162 )(155 ,157 )(164 ,168 ), 1 , 89 , 13 , 60 ,147 )( 2 , 72 ,108 , 56 ,155 )( 3 , 86 ,141 , 27 , 96 )4 , 90 , 33 , 46 ,169 )( 5 , 40 ,136 , 59 ,104 )( 6 , 92 ,115 , 58 , 21 )7 , 95 ,148 , 28 , 52 )( 8 , 51 ,161 , 48 ,149 )( 9 , 98 ,131 , 61 ,111 )10 ,145 , 63 , 26 , 93 )( 11 ,144 ,120 , 47 ,168 )( 12 ,143 ,117 , 57 ,162 )14 , 83 , 99 , 29 , 44 )( 15 ,146 ,135 , 49 ,152 )( 16 , 75 ,106 , 70 , 31 )17 , 87 ,142 ,124 ,165 )( 18 , 42 ,133 , 82 ,101 )( 19 , 55 ,140 ,122 ,171 )20 , 73 , 62 , 78 ,109 )( 22 , 74 ,107 ,123 ,157 )( 23 , 36 ,100 ,116 , 45 )24 , 88 ,138 ,121 ,160 )( 25 , 41 ,139 ,114 , 84 )( 30 , 91 , 65 , 76 , 66 )32 , 94 ,125 , 85 , 69 )( 34 , 97 ,164 , 37 ,110 )( 35 , 50 ,156 , 64 , 77 )38 ,112 ,119 ,105 ,127 )( 39 ,113 , 81 ,102 ,132 )( 43 ,154 ,118 ,103 ,150 )53 ,153 ,163 ,170 ,158 )( 54 ,151 ,134 ,159 ,126 )( 67 , 71 , 79 , 68 , 80 )128 ,129 ,167 ,137 ,166 ) ];29 ]:=1 , 14 , 36 , 13 , 57 , 56 , 47 , 66 , 43 , 22 , 6 , 25 )( 2 , 62 , 31 , 16 , 42 , 24 )3 , 53 , 33 , 20 , 51 , 55 , 40 , 29 , 4 , 61 , 32 , 17 )( 5 , 45 , 28 , 10 , 63 , 34 ,18 , 65 , 46 , 59 , 44 , 26 )( 7 , 50 , 37 , 19 , 27 , 9 , 58 , 35 , 12 , 64 , 41 , 23 )8 , 11 , 38 , 15 , 21 , 54 , 52 , 60 , 48 , 49 , 39 , 30 )( 67 ,182 ,120 ,151 , 76 ,195 ,122 ,171 , 81 ,183 ,131 ,148 )( 68 ,157 ,107 ,173 , 78 ,168 ,128 ,137 ,103 ,180 , 93 ,150 )69 ,146 , 75 ,177 , 79 ,174 , 86 ,196 ,101 ,181 ,102 ,144 )( 70 ,170 ,119 ,138 , 82 ,197 ,95 ,191 , 99 ,158 ,108 ,145 )( 71 ,194 , 90 ,172 , 84 ,159 ,110 ,187 , 97 ,163 ,129 ,142 )72 ,185 ,112 ,164 , 80 ,135 ,132 ,198 , 94 ,179 ,123 ,149 )( 73 ,193 ,100 ,175 , 87 ,153 )74 ,190 ,118 ,162 , 85 ,186 ,114 ,169 ,104 ,136 ,130 ,152 )( 77 ,143 ,121 ,176 , 83 ,189 ,126 ,154 , 98 ,178 ,117 ,147 )( 88 ,192 , 89 ,155 ,106 ,156 ,109 ,166 ,116 ,133 ,127 ,139 )91 ,134 ,125 ,161 , 96 ,184 ,113 ,160 ,111 ,141 ,115 ,167 )( 92 ,165 ,124 ,140 ,105 ,188 )1 ,186 ,126 , 19 ,148 ,105 , 53 ,180 , 90 , 65 ,133 ,102 , 5 ,159 ,128 , 17 ,193 ,115 , 58 ,176 , 74 , 36 ,166 , 99 , 39 ,149 ,111 , 24 ,182 ,112 , 60 ,138 , 69 )2 ,174 , 73 , 15 ,187 ,125 , 45 ,152 , 96 , 54 ,163 ,100 , 66 ,140 ,129 , 8 ,195 ,114 ,18 ,171 , 71 , 38 ,188 , 89 , 42 ,147 , 98 , 55 ,158 ,119 , 29 ,143 ,117 )3 ,168 ,101 , 16 ,154 ,127 , 25 ,194 , 92 , 57 ,164 , 67 , 37 ,156 ,124 , 30 ,146 ,109 ,52 ,175 , 75 , 35 ,141 ,123 , 6 ,153 ,110 , 13 ,181 ,121 , 62 ,139 , 93 )4 ,189 , 86 , 12 ,191 , 82 , 50 ,192 , 83 , 51 ,165 , 81 , 49 ,155 , 80 , 26 ,190 , 78 ,47 ,172 , 76 , 31 ,184 , 84 , 43 ,150 , 85 , 46 ,179 , 79 , 48 ,134 , 87 )7 ,135 ,131 , 10 ,196 ,132 , 14 ,198 , 88 , 63 ,167 , 94 , 64 ,160 ,104 , 22 ,157 ,116 ,23 ,177 , 70 , 33 ,173 , 68 , 32 ,145 ,106 , 41 ,144 ,107 , 56 ,136 ,120 )9 ,183 ,122 , 20 ,137 ,130 , 11 ,197 , 95 , 21 ,169 ,103 , 61 ,161 , 91 , 27 ,170 , 97 ,59 ,162 , 77 , 28 ,185 ,113 , 40 ,151 , 72 , 34 ,178 ,118 , 44 ,142 ,108 ) ];30 ]:=1 ,23 ,10 ,47 )( 2 ,24 ,11 ,48 )( 3 ,21 ,12 ,45 )( 4 ,22 , 9 ,46 )( 5 ,15 ,44 ,36 )6 ,16 ,41 ,33 )( 7 ,13 ,42 ,34 )( 8 ,14 ,43 ,35 )(17 ,71 ,37 ,55 )(18 ,72 ,38 ,56 )19 ,69 ,39 ,53 )(20 ,70 ,40 ,54 )(25 ,61 ,29 ,49 )(26 ,62 ,30 ,50 )(27 ,63 ,31 ,51 )28 ,64 ,32 ,52 )(57 ,59 )(58 ,60 )(65 ,67 )(66 ,68 ), 1 ,28 ,68 ,70 ,17 ,63 ,38 ,16 )( 2 ,25 ,65 ,71 ,18 ,64 ,39 ,13 )( 3 ,26 ,66 ,72 ,19 ,61 ,40 ,14 )4 ,27 ,67 ,69 ,20 ,62 ,37 ,15 )( 5 , 6 , 7 , 8 )( 9 ,58 ,36 ,54 ,32 ,24 ,43 ,47 )10 ,59 ,33 ,55 ,29 ,21 ,44 ,48 )(11 ,60 ,34 ,56 ,30 ,22 ,41 ,45 )(12 ,57 ,35 ,53 ,31 ,23 ,42 ,46 49 ,52 ,51 ,50 ) ];31 ]:=1 , 47 , 9 , 63 , 30 , 55 , 11 , 40 , 25 , 56 , 33 , 64 , 23 , 44 )( 2 , 38 , 17 , 49 ,36 , 45 , 18 , 37 , 4 , 42 , 19 , 52 , 26 , 41 )( 3 , 54 , 35 , 69 , 22 , 53 , 29 , 43 ,15 , 66 , 24 , 57 , 12 , 50 )( 5 , 65 , 28 , 60 , 6 , 46 , 34 , 51 , 31 , 71 , 27 , 48 ,7 , 58 )( 8 , 70 , 16 , 59 , 20 , 72 , 14 , 61 , 21 , 68 , 13 , 62 , 32 , 67 )10 , 39 )( 73 , 84 , 95 ,104 , 92 , 87 , 76 )( 74 , 80 , 98 , 96 ,107 , 85 , 97 )75 , 93 , 90 , 86 ,102 ,105 , 89 )( 77 ,100 , 99 ,106 , 78 ,103 , 82 )81 , 88 ,101 , 83 , 94 ,108 , 91 ), ( 1 , 77 , 42 , 29 ,101 , 48 , 36 ,102 , 55 )2 , 86 , 66 , 18 , 83 , 62 , 10 , 94 , 72 )( 3 , 96 , 56 , 27 , 90 , 59 , 19 ,108 , 69 )4 , 80 , 58 , 11 ,106 , 64 , 26 , 78 , 46 )( 5 , 91 , 49 , 16 , 99 , 43 , 33 , 98 , 60 )6 ,104 , 71 , 23 , 74 , 54 , 17 ,103 , 67 )( 7 , 73 , 47 , 34 , 97 , 57 , 30 , 92 , 53 )8 , 81 , 39 , 21 , 88 , 37 , 31 ,100 , 41 )( 9 ,105 , 51 , 13 , 95 , 68 , 24 , 82 , 63 )12 , 75 , 38 , 25 , 93 , 44 , 22 ,107 , 45 )( 14 , 89 , 52 , 28 , 85 , 40 , 15 , 84 , 50 )20 , 79 , 70 , 32 , 76 , 65 , 35 , 87 , 61 ) ];32 ]:=1 ,127 ,718 ,867 ,346 ,586 ,841 )( 2 ,128 ,717 ,868 ,345 ,585 ,842 )( 3 ,466 ,779 ,360 ,785 ,588 ,105 )( 4 ,465 ,780 ,359 ,786 ,587 ,106 )( 5 ,277 ,387 ,866 ,781 ,572 ,852 )6 ,278 ,388 ,865 ,782 ,571 ,851 )( 7 ,468 ,609 ,823 ,669 ,567 ,556 )8 ,467 ,610 ,824 ,670 ,568 ,555 )( 9 ,368 ,777 ,809 ,696 ,591 ,211 )10 ,367 ,778 ,810 ,695 ,592 ,212 )( 11 ,477 ,769 ,109 ,150 ,574 ,858 )12 ,478 ,770 ,110 ,149 ,573 ,857 )( 13 ,488 ,764 ,710 ,792 ,185 ,309 )14 ,487 ,763 ,709 ,791 ,186 ,310 )( 15 ,410 ,430 ,445 ,432 ,416 ,441 )16 ,409 ,429 ,446 ,431 ,415 ,442 )( 17 ,470 ,776 ,793 ,579 ,590 , 50 )18 ,469 ,775 ,794 ,580 ,589 , 49 )( 19 ,452 ,508 ,523 ,510 ,493 ,519 )20 ,451 ,507 ,524 ,509 ,494 ,520 )( 21 ,229 ,740 ,626 ,783 ,570 ,651 )22 ,230 ,739 ,625 ,784 ,569 ,652 )( 23 ,482 , 38 ,486 ,762 ,593 ,789 )24 ,481 , 37 ,485 ,761 ,594 ,790 )( 25 ,475 ,668 ,655 ,545 ,236 ,751 )26 ,476 ,667 ,656 ,546 ,235 ,752 )( 27 ,453 ,249 ,756 ,611 ,584 ,679 )28 ,454 ,250 ,755 ,612 ,583 ,680 )( 29 ,459 ,543 ,266 ,742 ,566 ,819 )30 ,460 ,544 ,265 ,741 ,565 ,820 )( 31 ,484 ,200 ,313 ,389 ,596 ,805 )32 ,483 ,199 ,314 ,390 ,595 ,806 )( 33 ,489 ,344 ,836 ,787 , 79 ,159 )34 ,490 ,343 ,835 ,788 , 80 ,160 )( 35 ,458 ,766 ,684 ,642 ,530 ,262 )36 ,457 ,765 ,683 ,641 ,529 ,261 )( 39 ,455 ,771 , 53 ,472 ,577 ,854 )40 ,456 ,772 , 54 ,471 ,578 ,853 )( 41 ,463 ,774 ,216 ,300 ,374 ,856 )42 ,464 ,773 ,215 ,299 ,373 ,855 )( 43 ,462 ,639 ,559 ,251 ,576 ,621 )44 ,461 ,640 ,560 ,252 ,575 ,622 )( 45 ,480 , 93 ,163 ,719 ,597 ,356 )46 ,479 , 94 ,164 ,720 ,598 ,355 )( 47 , 73 ,148 ,733 ,798 ,330 ,831 )48 , 74 ,147 ,734 ,797 ,329 ,832 )( 51 ,179 ,297 ,404 ,796 ,581 ,705 )52 ,180 ,298 ,403 ,795 ,582 ,706 )( 55 ,473 ,694 ,859 ,201 ,283 ,400 )56 ,474 ,693 ,860 ,202 ,284 ,399 )( 57 ,324 ,767 ,846 , 96 ,134 ,729 )58 ,323 ,768 ,845 , 95 ,133 ,730 )( 59 ,144 ,737 ,363 ,352 ,829 ,103 )60 ,143 ,738 ,364 ,351 ,830 ,104 )( 61 ,120 ,384 ,869 ,348 ,702 ,843 )62 ,119 ,383 ,870 ,347 ,701 ,844 )( 63 ,145 ,605 ,827 ,336 ,648 ,554 )64 ,146 ,606 ,828 ,335 ,647 ,553 )( 65 ,124 ,736 ,814 ,337 ,834 ,209 )66 ,123 ,735 ,813 ,338 ,833 ,210 )( 67 ,156 ,728 ,113 ,121 ,725 ,849 )68 ,155 ,727 ,114 ,122 ,726 ,850 )( 69 ,166 ,721 ,713 ,357 ,208 ,307 )70 ,165 ,722 ,714 ,358 ,207 ,308 )( 71 ,126 ,425 ,450 ,321 ,438 ,440 )72 ,125 ,426 ,449 ,322 ,437 ,439 )( 75 ,130 ,504 ,527 ,325 ,516 ,518 )76 ,129 ,503 ,528 ,326 ,515 ,517 )( 77 ,118 ,716 ,630 ,349 ,675 ,649 )78 ,117 ,715 ,629 ,350 ,676 ,650 )( 81 ,154 ,663 ,659 ,328 ,257 ,749 )82 ,153 ,664 ,660 ,327 ,258 ,750 )( 83 ,132 ,245 ,759 ,332 ,815 ,678 )84 ,131 ,246 ,760 ,331 ,816 ,677 )( 85 ,138 ,540 ,270 ,341 ,617 ,818 )86 ,137 ,539 ,269 ,342 ,618 ,817 )( 87 ,161 ,195 ,317 ,320 ,837 ,803 )88 ,162 ,196 ,318 ,319 ,838 ,804 )( 89 ,167 ,339 ,840 ,353 ,101 ,157 )90 ,168 ,340 ,839 ,354 ,102 ,158 )( 91 ,135 ,723 ,688 ,333 ,551 ,259 )92 ,136 ,724 ,687 ,334 ,552 ,260 )( 97 ,142 ,731 ,219 ,272 ,396 ,847 )98 ,141 ,732 ,220 ,271 ,395 ,848 )( 99 ,140 ,636 ,563 ,224 ,748 ,619 )100 ,139 ,635 ,564 ,223 ,747 ,620 )(107 ,116 ,293 ,408 ,362 ,802 ,704 )108 ,115 ,294 ,407 ,361 ,801 ,703 )(111 ,152 ,689 ,864 ,174 ,305 ,397 )112 ,151 ,690 ,863 ,173 ,306 ,398 )(169 ,296 ,376 ,825 ,671 ,633 ,557 )170 ,295 ,375 ,826 ,672 ,634 ,558 )(171 ,273 ,405 ,812 ,698 ,707 ,213 )172 ,274 ,406 ,811 ,697 ,708 ,214 )(175 ,315 ,392 ,711 ,808 ,193 ,311 )176 ,316 ,391 ,712 ,807 ,194 ,312 )(177 ,276 ,366 ,448 ,433 ,423 ,443 )178 ,275 ,365 ,447 ,434 ,424 ,444 )(181 ,279 ,370 ,526 ,512 ,502 ,521 )182 ,280 ,369 ,525 ,511 ,501 ,522 )(183 ,221 ,386 ,628 ,800 ,661 ,653 )184 ,222 ,385 ,627 ,799 ,662 ,654 )(187 ,304 ,379 ,657 ,548 ,244 ,754 )188 ,303 ,380 ,658 ,547 ,243 ,753 )(189 ,281 ,225 ,758 ,613 ,700 ,682 )190 ,282 ,226 ,757 ,614 ,699 ,681 )(191 ,287 ,371 ,267 ,743 ,604 ,821 )192 ,288 ,372 ,268 ,744 ,603 ,822 )(197 ,286 ,394 ,685 ,644 ,537 ,263 )198 ,285 ,393 ,686 ,643 ,538 ,264 )(203 ,292 ,401 ,217 ,302 ,381 ,862 )204 ,291 ,402 ,218 ,301 ,382 ,861 )(205 ,290 ,377 ,562 ,253 ,691 ,623 )206 ,289 ,378 ,561 ,254 ,692 ,624 )(227 ,428 ,418 ,435 ,421 ,419 ,414 )228 ,427 ,417 ,436 ,422 ,420 ,413 )(231 ,505 ,496 ,513 ,499 ,498 ,492 )232 ,506 ,495 ,514 ,500 ,497 ,491 )(233 ,247 ,607 ,616 ,674 ,631 ,534 )234 ,248 ,608 ,615 ,673 ,632 ,533 )(237 ,745 ,602 ,645 ,536 ,239 ,542 )238 ,746 ,601 ,646 ,535 ,240 ,541 )(241 ,637 ,532 ,256 ,666 ,599 ,550 )242 ,638 ,531 ,255 ,665 ,600 ,549 ), 1 ,825 ,126 ,317 ,467 ,331 ,382 ,186 ,232 ,810 ,732 ,639 ,676 ,841 ,546 )2 ,826 ,125 ,318 ,468 ,332 ,381 ,185 ,231 ,809 ,731 ,640 ,675 ,842 ,545 )3 ,870 ,428 ,271 ,367 ,187 ,244 ,582 ,503 ,776 ,682 ,651 ,786 ,103 ,549 )4 ,869 ,427 ,272 ,368 ,188 ,243 ,581 ,504 ,775 ,681 ,652 ,785 ,104 ,550 )5 ,267 ,434 ,293 ,470 ,602 ,706 ,579 , 76 ,824 ,161 ,660 ,747 ,353 ,372 )6 ,268 ,433 ,294 ,469 ,601 ,705 ,580 , 75 ,823 ,162 ,659 ,748 ,354 ,371 )7 ,811 ,426 ,297 ,461 ,622 ,696 , 80 ,513 ,164 ,863 ,638 ,352 ,397 ,183 )8 ,812 ,425 ,298 ,462 ,621 ,695 , 79 ,514 ,163 ,864 ,637 ,351 ,398 ,184 )9 ,488 ,417 ,292 ,456 ,495 ,709 ,592 ,497 ,836 ,844 ,533 , 46 ,847 ,413 )10 ,487 ,418 ,291 ,455 ,496 ,710 ,591 ,498 ,835 ,843 ,534 , 45 ,848 ,414 )11 ,406 ,177 ,221 ,474 ,606 ,694 ,570 ,519 ,793 ,107 ,645 ,156 ,849 ,541 )12 ,405 ,178 ,222 ,473 ,605 ,693 ,569 ,520 ,794 ,108 ,646 ,155 ,850 ,542 )13 ,217 ,228 ,301 ,465 ,610 ,662 ,590 ,510 ,110 ,821 ,137 ,839 ,749 ,328 )14 ,218 ,227 ,302 ,466 ,609 ,661 ,589 ,509 ,109 ,822 ,138 ,840 ,750 ,327 )15 ,315 ,410 ,286 ,464 ,566 ,502 ,593 ,521 ,655 ,833 ,649 ,552 , 47 ,562 )16 ,316 ,409 ,285 ,463 ,565 ,501 ,594 ,522 ,656 ,834 ,650 ,551 , 48 ,561 )17 ,627 ,424 ,283 ,452 ,626 ,707 ,568 ,515 ,846 ,557 , 28 ,837 ,440 ,281 )18 ,628 ,423 ,284 ,451 ,625 ,708 ,567 ,516 ,845 ,558 , 27 ,838 ,439 ,282 )19 ,866 ,444 ,287 ,478 ,619 ,538 , 23 ,526 ,446 ,312 ,459 ,618 ,704 ,529 )20 ,865 ,443 ,288 ,477 ,620 ,537 , 24 ,525 ,445 ,311 ,460 ,617 ,703 ,530 )21 , 55 ,447 ,275 ,277 ,457 ,603 ,571 ,494 ,524 ,860 ,653 ,648 ,829 ,554 )22 , 56 ,448 ,276 ,278 ,458 ,604 ,572 ,493 ,523 ,859 ,654 ,647 ,830 ,553 )25 ,712 ,415 ,279 ,486 ,624 ,634 ,585 ,518 ,560 , 51 ,658 ,437 ,307 ,453 )26 ,711 ,416 ,280 ,485 ,623 ,633 ,586 ,517 ,559 , 52 ,657 ,438 ,308 ,454 )29 ,855 ,431 , 66 ,475 ,135 ,713 ,575 ,325 ,404 ,214 ,240 ,801 ,728 ,544 )30 ,856 ,432 , 65 ,476 ,136 ,714 ,576 ,326 ,403 ,213 ,239 ,802 ,727 ,543 )31 ,595 ,412 ,314 ,484 ,600 ,702 ,587 ,492 , 54 ,862 ,419 ,305 ,480 ,531 )32 ,596 ,411 ,313 ,483 ,599 ,701 ,588 ,491 , 53 ,861 ,420 ,306 ,479 ,532 )33 ,778 ,421 ,310 ,471 , 82 ,700 ,134 ,528 ,755 ,358 ,377 ,207 ,260 ,548 )34 ,777 ,422 ,309 ,472 , 81 ,699 ,133 ,527 ,756 ,357 ,378 ,208 ,259 ,547 )35 ,361 ,366 ,172 ,230 ,614 ,689 ,577 ,500 ,853 ,791 , 84 ,816 ,157 ,564 )36 ,362 ,365 ,171 ,229 ,613 ,690 ,578 ,499 ,854 ,792 , 83 ,815 ,158 ,563 )37 ,685 ,441 ,300 , 73 ,616 ,142 ,598 ,505 ,359 ,402 ,189 ,258 ,803 ,540 )38 ,686 ,442 ,299 , 74 ,615 ,141 ,597 ,506 ,360 ,401 ,190 ,257 ,804 ,539 )39 ,111 ,435 ,119 ,489 ,607 ,338 ,374 ,181 ,266 ,807 ,636 ,768 ,678 ,556 )40 ,112 ,436 ,120 ,490 ,608 ,337 ,373 ,182 ,265 ,808 ,635 ,767 ,677 ,555 )41 ,735 ,429 ,289 ,482 ,611 , 88 ,584 ,130 ,868 ,753 ,333 ,396 ,209 ,234 )42 ,736 ,430 ,290 ,481 ,612 , 87 ,583 ,129 ,867 ,754 ,334 ,395 ,210 ,233 )43 ,165 ,450 ,296 ,324 ,376 ,193 ,235 ,511 ,733 ,774 ,632 ,832 ,787 , 78 )44 ,166 ,449 ,295 ,323 ,375 ,194 ,236 ,512 ,734 ,773 ,631 ,831 ,788 , 77 )49 ,796 , 72 ,303 ,128 ,630 ,692 ,329 ,370 ,216 ,264 ,644 ,726 ,769 ,535 )50 ,795 , 71 ,304 ,127 ,629 ,691 ,330 ,369 ,215 ,263 ,643 ,725 ,770 ,536 )57 ,758 ,321 ,273 ,180 ,237 ,698 ,573 ,508 ,683 ,852 ,642 ,101 ,818 ,131 )58 ,757 ,322 ,274 ,179 ,238 ,697 ,574 ,507 ,684 ,851 ,641 ,102 ,817 ,132 )59 ,827 ,146 ,364 ,386 ,174 ,226 ,203 ,245 ,764 ,663 ,771 ,669 ,105 ,784 )60 ,828 ,145 ,363 ,385 ,173 ,225 ,204 ,246 ,763 ,664 ,772 ,670 ,106 ,783 )61 ,255 ,151 ,738 ,740 ,336 ,400 ,202 , 63 ,800 ,143 ,779 ,665 ,356 ,390 )62 ,256 ,152 ,737 ,739 ,335 ,399 ,201 , 64 ,799 ,144 ,780 ,666 ,355 ,389 )67 ,393 ,116 ,269 ,743 ,340 ,388 ,191 ,262 ,781 , 89 ,766 ,139 ,858 ,741 )68 ,394 ,115 ,270 ,744 ,339 ,387 ,192 ,261 ,782 , 90 ,765 ,140 ,857 ,742 )69 ,206 ,118 ,813 ,715 ,344 ,379 ,212 ,251 , 98 ,724 ,147 ,688 ,751 ,345 )70 ,205 ,117 ,814 ,716 ,343 ,380 ,211 ,252 , 97 ,723 ,148 ,687 ,752 ,346 )85 ,820 ,150 ,114 ,746 ,121 ,407 ,197 ,223 ,392 ,195 ,250 ,671 ,729 ,761 )86 ,819 ,149 ,113 ,745 ,122 ,408 ,198 ,224 ,391 ,196 ,249 ,672 ,730 ,762 )91 ,350 ,123 ,220 ,248 ,347 ,384 ,199 ,241 ,806 ,719 , 94 ,673 ,160 ,798 )92 ,349 ,124 ,219 ,247 ,348 ,383 ,200 ,242 ,805 ,720 , 93 ,674 ,159 ,797 )95 , 99 ,154 ,168 ,759 ,342 ,319 ,176 ,170 ,254 ,721 ,717 ,668 ,679 ,789 )96 ,100 ,153 ,167 ,760 ,341 ,320 ,175 ,169 ,253 ,722 ,718 ,667 ,680 ,790 ) ];33 ]:=1 , 89 , 33 ,155 ,125 , 3 , 94 , 34 ,156 ,121 )( 2 , 95 , 30 ,149 ,126 , 4 , 91 , 26 ,148 ,122 )( 5 , 88 , 32 ,151 ,124 , 6 , 96 , 36 ,154 ,123 )( 7 , 85 , 25 ,147 ,130 ,8 , 93 , 29 ,150 ,129 )( 9 , 90 , 35 ,153 ,131 , 11 , 86 , 31 ,152 ,127 )10 , 87 , 27 ,145 ,132 , 12 , 92 , 28 ,146 ,128 )( 13 , 73 ,102 ,236 ,165 , 47 ,221 ,211 ,64 , 49 )( 14 , 77 , 98 ,231 ,166 , 48 ,217 ,214 , 62 , 51 )( 15 , 81 ,105 ,237 ,157 , 39 ,222 ,208 , 63 , 50 )( 16 , 82 ,106 ,239 ,161 , 42 ,218 ,216 , 61 , 52 )17 , 74 ,101 ,235 ,162 , 41 ,226 ,215 , 67 , 55 )( 18 , 78 , 97 ,229 ,158 , 40 ,225 ,209 ,68 , 56 )( 19 , 79 ,108 ,240 ,167 , 45 ,220 ,212 , 65 , 53 )( 20 , 83 ,104 ,234 ,163 , 44 ,219 ,206 , 66 , 54 )( 21 , 75 , 99 ,230 ,164 , 43 ,227 ,205 , 72 , 57 )22 , 76 ,100 ,232 ,168 , 46 ,223 ,213 , 70 , 59 )( 23 , 80 ,107 ,238 ,159 , 37 ,228 ,207 ,71 , 58 )( 24 , 84 ,103 ,233 ,160 , 38 ,224 ,210 , 69 , 60 )(109 ,136 ,175 ,185 ,197 ,115 ,137 ,179 ,190 ,193 )(110 ,134 ,176 ,184 ,196 ,112 ,133 ,171 ,192 ,195 )111 ,135 ,169 ,191 ,198 ,116 ,138 ,177 ,187 ,194 )(113 ,139 ,172 ,186 ,203 ,118 ,142 ,180 ,182 ,199 )(114 ,140 ,170 ,183 ,204 ,120 ,141 ,174 ,188 ,200 )(117 ,144 ,178 ,181 ,202 ,119 ,143 ,173 ,189 ,201 )(241 ,248 ,246 ,244 ,250 )(243 ,252 ,245 ,247 ,249 ), 1 ,223 , 13 ,139 )( 2 ,226 , 14 ,133 )( 3 ,220 , 17 ,140 )( 4 ,228 , 18 ,135 )5 ,227 , 15 ,143 )( 6 ,221 , 16 ,141 )( 7 ,224 , 21 ,136 )( 8 ,218 , 22 ,134 )9 ,217 , 19 ,142 )( 10 ,225 , 20 ,137 )( 11 ,219 , 23 ,144 )( 12 ,222 , 24 ,138 )25 , 36 )( 26 , 35 )( 27 , 28 , 29 , 30 )( 31 , 34 , 33 , 32 )( 37 ,208 , 73 ,246 )38 ,216 , 74 ,252 )( 39 ,211 , 77 ,249 )( 40 ,214 , 78 ,248 )( 41 ,209 , 75 ,243 )42 ,215 , 76 ,251 )( 43 ,206 , 81 ,242 )( 44 ,212 , 82 ,250 )( 45 ,207 , 79 ,245 )46 ,210 , 80 ,244 )( 47 ,205 , 83 ,241 )( 48 ,213 , 84 ,247 )( 49 , 60 )( 50 , 59 )51 , 54 , 53 , 52 )( 55 , 56 , 57 , 58 )( 61 ,202 , 89 ,171 )( 62 ,201 , 90 ,179 )63 ,194 , 88 ,176 )( 64 ,198 , 87 ,177 )( 65 ,197 , 85 ,174 )( 66 ,193 , 86 ,180 )67 ,204 , 95 ,169 )( 68 ,200 , 96 ,175 )( 69 ,199 , 94 ,172 )( 70 ,203 , 93 ,173 )71 ,196 , 91 ,170 )( 72 ,195 , 92 ,178 )( 97 ,127 , 99 ,128 )( 98 ,124 ,100 ,122 )101 ,130 ,102 ,132 )(103 ,121 ,104 ,123 )(105 ,131 ,107 ,129 )(106 ,125 ,108 ,126 )109 ,164 ,147 ,188 )(110 ,165 ,148 ,189 )(111 ,159 ,145 ,183 )(112 ,167 ,146 ,191 )113 ,168 ,150 ,192 )(114 ,162 ,149 ,186 )(115 ,163 ,152 ,187 )(116 ,157 ,151 ,181 )117 ,158 ,155 ,182 )(118 ,166 ,156 ,190 )(119 ,160 ,153 ,184 )(120 ,161 ,154 ,185 )229 ,240 )(230 ,234 ,231 ,236 )(232 ,237 )(233 ,239 ,235 ,238 ) ];34 ]:=1 ,38 ,16 ,46 ,20 ,43 ,23 ,40 ,26 ,48 , 6 ,49 ,17 ,39 ,27 ,42 ,19 ,55 )( 2 ,36 ,14 ,50 , 3 ,37 ,9 ,53 , 5 ,47 , 8 ,56 ,25 ,32 ,21 ,44 ,24 ,31 )( 4 ,51 , 7 ,41 ,12 ,52 ,10 ,54 ,13 ,33 ,28 ,34 ,18 ,30 ,22 ,35 ,15 ,45 )(11 ,29 )(57 ,82 ,84 ,58 ,71 ,67 ,63 ,65 ,69 )(59 ,70 ,66 ,73 ,75 ,81 ,62 ,83 ,74 )(60 ,68 ,64 ,79 ,80 ,61 ,72 ,77 ,78 ), 1 ,53 ,67 ,24 ,48 ,78 )( 2 ,41 ,68 ,18 ,47 ,73 )( 3 ,39 ,61 ,20 ,32 ,57 )( 4 ,46 ,59 ,17 ,33 ,69 )5 ,50 ,60 ,25 ,31 ,80 )( 6 ,52 ,63 ,22 ,38 ,81 )( 7 ,56 ,66 ,14 ,34 ,79 )( 8 ,54 ,64 ,15 ,36 ,83 )( 9 ,44 ,77 )(10 ,43 ,62 ,27 ,35 ,82 )(11 ,49 ,76 ,16 ,29 ,65 )(12 ,30 ,75 )13 ,55 ,74 ,26 ,45 ,71 )(19 ,42 ,58 ,23 ,40 ,84 )(21 ,37 ,72 )(28 ,51 ,70 ) ];35 ]:=1 ,20 ,53 ,73 ,74 ,45 ,15 , 3 ,18 ,68 ,70 ,69 ,29 , 8 , 9 ,26 ,63 ,49 ,60 ,21 )( 2 ,14 ,28 ,16 )4 , 6 ,65 ,47 ,71 ,54 ,37 ,25 ,11 ,35 ,27 ,39 ,38 ,10 ,23 ,41 ,48 ,72 ,44 ,57 )( 7 ,13 ,31 ,34 )12 ,32 ,24 ,22 ,66 ,42 ,40 ,46 ,43 ,67 )(17 ,51 ,58 ,52 )(19 ,50 ,62 ,61 )(30 ,56 ,59 ,33 )36 ,55 ,75 ,64 ), ( 1 ,73 ,30 ,41 ,44 ,14 ,10 ,48 ,62 , 9 ,49 ,13 ,42 ,43 ,31 )2 ,47 ,11 ,28 , 6 ,68 ,17 ,53 ,12 , 5 ,22 ,26 ,58 ,18 ,27 )( 3 ,34 ,32 ,65 ,19 ,63 , 4 ,16 ,39 ,20 ,59 ,35 ,24 , 7 ,70 )( 8 ,61 ,57 ,66 ,36 ,72 ,21 ,52 ,60 ,23 ,64 ,67 ,38 ,33 ,74 )15 ,71 ,55 ,46 ,45 ,51 ,29 ,40 ,75 ,25 ,69 ,50 ,54 ,37 ,56 ) ];1 ]:=[ 1 , 16 , 27 ];2 ]:=[ 1 , 2 , 5 ];3 ]:=[ 1 , 4 , 17 ];4 ]:=[ 1 , 7 , 13 ];5 ]:=[ 1 , 4 , 7 ];6 ]:=[ 1 , 2 , 12 ];7 ]:=[ 1 , 2 , 6 ];8 ]:=[ 1 , 22 , 43 ];9 ]:=[ 1 , 2 , 3 ];10 ]:=[ 1 , 10 , 19 ];11 ]:=[ 1 , 2 , 4 ];12 ]:=[ 1 , 23 , 38 ];13 ]:=[ 1 , 2 , 6 ];14 ]:=[ 1 , 2 , 3 ];15 ]:=[ 1 , 2 , 5 ];16 ]:=[ 1 , 2 , 3 ];17 ]:=[ 1 , 2 , 34 ];18 ]:=[ 1 , 2 , 3 ];19 ]:=[ 1 , 4 , 190 ];20 ]:=[ 1 , 2 , 3 ];21 ]:=[ 1 , 2 , 75 ];22 ]:=[ 1 , 27 , 67 ];23 ]:=[ 1 , 2 , 141 ];24 ]:=[ 1 , 40 , 102 ];25 ]:=[ 1 , 3 , 8 ];26 ]:=[ 1 , 2 , 3 ];27 ]:=[ 1 , 2 , 3 ];28 ]:=[ 1 , 2 , 6 ];29 ]:=[ 1 , 72 , 172 ];30 ]:=[ 1 , 5 , 17 ];31 ]:=[ 1 , 37 , 73 ];32 ]:=[ 1 , 247 , 500 ];33 ]:=[ 1 , 13 , 25 ];34 ]:=[ 1 , 29 , 57 ];35 ]:=[ 1 , 2 , 3 ];1 ]:=[ 7 , 8 ];2 ]:=[ 8 , 9 ];3 ]:=[ 8 , 9 ];4 ]:=[ 10 , 14 ];5 ]:=[ 7 , 15 ];6 ]:=[ 9 , 16 ];7 ]:=[ 8 , 17 ];8 ]:=[ 8 , 23 ];9 ]:=[ 10 , 26 ];10 ]:=[ 12 , 29 ];11 ]:=[ 10 , 46 ];12 ]:=[ 10 , 46 ];13 ]:=[ 8 , 47 ];14 ]:=[ 13 , 51 ];15 ]:=[ 12 , 57 ];16 ]:=[ 12 , 57 ];17 ]:=[ 9 , 70 ];18 ]:=[ 10 , 74 ];19 ]:=[ 8 , 86 ];20 ]:=[ 20 , 86 ];21 ]:=[ 12 , 93 ];22 ]:=[ 12 , 93 ];23 ]:=[ 9 , 97 ];24 ]:=[ 9 , 97 ];25 ]:=[ 14 , 106 ];26 ]:=[ 14 , 106 ];27 ]:=[ 14 , 106 ];28 ]:=[ 10 , 116 ];29 ]:=[ 10 , 134 ];30 ]:=[ 17 , 134 ];31 ]:=[ 14 , 146 ];32 ]:=[ 7 , 147 ];33 ]:=[ 10 , 170 ];34 ]:=[ 18 , 170 ];35 ]:=[ 20 , 177 ];else 6 *(2 -2 *g)/(6 -m);2 *m*(2 -2 *g)/(6 -m);1 ]:=1 ,13 ,12 , 3 , 7 ,16 )( 2 ,21 ,19 )( 4 ,23 , 8 , 6 ,20 , 9 )( 5 ,15 ,18 )(10 ,17 ,22 ,11 ,14 ,24 ), ( 1 ,18 ,17 )( 2 ,10 , 4 )( 3 ,20 ,22 )( 5 ,12 ,23 )( 6 ,24 ,15 )( 7 ,11 , 9 )8 ,16 ,21 )(13 ,14 ,19 ) ];2 ]:=2 , 3 )( 4 , 5 )( 7 , 8 )(10 ,11 ), ( 1 , 7 , 6 ,11 ,12 , 5 , 9 , 2 )( 3 ,10 ) ];3 ]:=2 , 3 , 5 , 8 ,14 ,12 , 7 , 4 )( 6 , 9 ,15 ,10 )(11 ,16 ,20 ,13 ,19 ,23 ,22 ,17 )(18 ,21 ), 1 , 2 , 3 )( 4 , 6 , 5 )( 7 ,11 , 9 )( 8 ,10 ,13 )(12 ,18 ,16 )(14 ,20 ,21 )(15 ,17 ,19 )22 ,24 ,23 ), ( 2 , 3 )( 4 , 5 )( 7 , 8 )( 9 ,10 )(11 ,13 )(12 ,14 )(16 ,20 )(17 ,19 )18 ,21 )(22 ,23 ) ];4 ]:=1 , 5 , 6 , 2 ,12 , 7 ,15 ,13 , 9 ,11 )( 3 ,14 )( 4 ,10 ), 1 ,15 , 6 , 9 ,12 )( 2 ,10 ,11 , 8 , 7 , 4 , 5 ,14 ,13 , 3 ) ];5 ]:=1 ,41 ,55 ,34 ,49 , 9 ,26 ,72 ,11 ,23 ,68 ,43 ,51 ,62 )( 2 ,64 ,29 ,59 ,32 ,28 , 4 ,70 ,18 ,37 ,48 ,19 ,17 ,66 )( 3 ,56 ,67 ,22 ,60 ,47 ,15 ,71 ,33 ,12 ,27 ,24 ,61 ,39 )5 ,46 ,57 , 6 ,30 ,31 ,42 ,69 ,53 , 7 ,65 ,52 ,40 ,35 )( 8 ,14 ,44 ,20 ,13 ,16 ,50 ,63 ,36 ,38 ,25 ,45 ,58 ,21 )(10 ,54 ), 1 ,70 , 3 ,65 ,13 ,25 ,39 , 7 ,66 )( 2 ,71 , 6 ,45 ,20 ,15 ,57 , 4 ,72 )5 ,41 ,16 ,68 ,49 ,38 ,62 ,12 ,54 )( 8 ,64 , 9 ,27 ,30 ,47 ,35 ,23 ,28 )10 ,69 ,11 ,58 ,34 ,43 ,44 ,26 ,67 )(14 ,56 ,31 ,48 ,60 ,53 ,21 ,37 ,19 )17 ,63 ,18 ,51 ,22 ,52 ,61 ,42 ,55 )(24 ,46 ,50 ,29 ,32 ,36 ,33 ,40 ,59 ) ];6 ]:=2 , 3 , 5 , 8 ,14 ,12 , 7 , 4 )( 6 , 9 ,15 ,22 ,29 ,23 ,16 ,10 )(11 ,17 ,24 ,31 ,26 ,20 ,13 ,18 19 ,21 ,27 ,34 ,41 ,40 ,32 ,25 )(28 ,35 ,38 ,30 ,37 ,33 ,39 ,36 ), 1 , 2 , 3 )( 4 , 6 , 5 )( 7 ,11 , 9 )( 8 ,10 ,13 )(12 ,19 ,17 )(14 ,20 ,21 )(15 ,18 ,16 )22 ,23 ,28 )(24 ,25 ,30 )(26 ,33 ,27 )(29 ,36 ,35 )(31 ,38 ,39 )(32 ,34 ,37 )40 ,42 ,41 ), ( 2 , 3 )( 4 , 5 )( 7 , 8 )( 9 ,10 )(11 ,13 )(12 ,14 )(15 ,16 )(17 ,20 )19 ,21 )(22 ,23 )(24 ,26 )(25 ,27 )(30 ,33 )(32 ,34 )(35 ,36 )(38 ,39 )(40 ,41 ) ];7 ]:=2 , 3 , 5 , 8 ,14 ,12 , 7 , 4 )( 6 , 9 ,15 ,24 ,34 ,26 ,16 ,10 )(11 ,17 ,27 ,21 ,13 ,20 ,28 ,18 19 ,22 ,30 ,39 ,33 ,37 ,38 ,29 )(23 ,31 ,40 ,41 ,36 ,25 ,35 ,32 ), 1 , 2 , 3 )( 4 , 6 , 5 )( 7 ,11 , 9 )( 8 ,10 ,13 )(12 ,19 ,17 )(14 ,21 ,22 )(15 ,18 ,23 )16 ,25 ,20 )(24 ,32 ,33 )(26 ,37 ,35 )(27 ,29 ,30 )(28 ,36 ,31 )(34 ,39 ,38 )40 ,41 ,42 ), ( 2 , 3 )( 4 , 5 )( 7 , 8 )( 9 ,10 )(11 ,13 )(12 ,14 )(15 ,16 )(17 ,21 )18 ,20 )(19 ,22 )(23 ,25 )(24 ,26 )(29 ,30 )(31 ,36 )(32 ,35 )(33 ,37 )(38 ,39 )40 ,41 ) ];8 ]:=1 ,22 ,17 )( 2 ,30 , 3 , 8 ,28 ,14 ,12 ,29 , 7 )( 4 ,10 , 9 , 5 ,15 ,31 ,20 ,32 ,16 )6 ,34 ,23 ,25 ,26 ,24 ,27 ,19 ,33 )(11 ,35 ,13 )(18 ,36 ,21 ), 1 ,27 ,21 ,25 ,18 , 6 )( 2 ,12 ,31 , 9 ,33 ,24 )( 3 , 7 ,34 ,19 ,32 ,15 )4 ,11 ,20 ,36 , 5 ,13 )( 8 ,23 ,16 )(10 ,26 ,14 )(17 ,30 ,35 ,29 ,22 ,28 ) ];9 ]:=2 , 3 , 5 , 8 ,11 ,14 ,17 ,16 ,13 ,10 , 7 , 4 )( 6 , 9 )(12 ,15 ), 1 , 2 , 3 )( 4 , 6 , 5 )( 7 , 8 , 9 )(10 ,12 ,11 )(13 ,14 ,15 )(16 ,18 ,17 ), 2 , 3 )( 4 , 5 )( 7 , 8 )(10 ,11 )(13 ,14 )(16 ,17 ) ];10 ]:=1 , 6 ,15 ,19 ,32 ,36 ,29 ,28 , 9 ,16 )( 2 ,27 ,18 ,30 ,17 ,21 ,14 , 3 ,26 , 8 )4 ,20 ,25 , 7 ,24 ,13 ,35 ,33 ,22 ,34 )( 5 ,11 )(10 ,23 )(12 ,31 ), 1 ,17 ,23 , 2 , 9 ,33 , 6 , 5 ,28 ,13 )( 4 ,25 , 8 ,11 ,21 )( 7 ,10 ,34 ,19 ,26 ,29 ,31 ,15 ,14 ,36 )(12 ,24 ,27 ,30 ,22 )(16 ,18 )(20 ,32 ) ];11 ]:=2 , 3 , 5 , 8 ,14 ,20 ,23 ,22 ,17 ,12 , 7 , 4 )( 6 , 9 ,10 )(11 ,15 ,18 ,13 )(16 ,21 ,19 ), 1 , 2 , 3 )( 4 , 6 , 5 )( 7 ,11 , 9 )( 8 ,10 ,13 )(12 ,16 ,15 )(14 ,18 ,19 )(17 ,20 ,21 )22 ,24 ,23 ), ( 2 , 3 )( 4 , 5 )( 7 , 8 )( 9 ,10 )(11 ,13 )(12 ,14 )(15 ,18 )(16 ,19 )17 ,20 )(22 ,23 ) ];12 ]:=1 , 90 ,109 ,118 , 44 , 82 ,100 , 16 , 84 ,115 , 61 , 78 , 53 , 95 )( 2 , 79 , 37 ,146 ,124 ,145 , 43 , 13 ,119 ,106 ,113 ,151 , 68 , 51 )( 3 , 57 , 77 , 83 , 92 ,108 , 66 4 , 48 , 54 ,114 , 58 , 93 ,123 , 30 ,111 , 89 ,122 ,131 , 75 , 69 )5 , 34 ,121 , 56 , 64 ,112 , 91 , 9 , 22 ,152 , 21 ,107 , 81 ,130 )6 ,141 , 40 ,127 ,150 ,116 , 19 )( 7 ,110 , 96 ,134 , 67 , 45 ,149 , 55 ,147 ,63 , 42 ,101 , 33 ,128 )( 8 , 87 , 86 ,104 , 14 , 60 , 59 , 31 , 41 ,143 , 35 ,47 , 36 ,137 )( 10 , 29 , 62 , 85 ,120 ,133 , 80 , 49 , 76 ,140 ,156 ,125 , 46 , 17 11 ,132 , 12 ,136 ,135 ,154 , 24 , 20 ,142 , 50 , 98 ,144 , 70 , 28 )15 , 74 , 52 ,153 , 38 , 65 ,138 , 72 ,117 , 25 , 99 ,126 ,105 , 88 )18 ,102 , 23 ,129 ,155 ,103 , 71 , 39 ,148 , 97 ,139 , 94 , 26 , 32 )( 27 , 73 ), 1 ,102 , 44 ,110 , 80 , 60 , 91 , 11 , 69 , 98 ,101 , 76 , 31 ,121 )2 ,128 , 64 , 74 , 49 , 73 , 59 )( 3 ,132 , 14 , 48 , 71 , 87 ,100 , 6 , 95 ,41 , 32 ,111 , 47 ,142 )( 4 ,153 , 92 , 99 , 30 ,143 , 35 , 18 , 88 ,127 ,138 ,39 ,104 , 86 )( 5 , 79 , 24 , 90 , 43 , 34 , 66 , 22 , 51 , 84 , 28 ,119 , 9 ,141 7 ,114 ,124 , 65 ,103 ,112 , 70 , 33 , 94 ,113 ,126 , 89 , 56 ,109 )8 , 29 , 67 ,136 ,123 , 20 ,130 , 36 , 17 ,147 , 78 ,148 , 16 ,152 )10 ,117 ,107 ,149 , 13 ,137 , 27 )( 12 , 62 , 58 ,129 ,133 , 82 ,116 , 53 , 46 ,139 ,131 ,140 , 50 , 77 )( 15 ,134 ,150 , 42 , 72 ,144 , 61 , 52 , 63 , 83 , 96 ,25 ,118 ,135 )( 19 , 57 )( 21 , 54 , 38 ,146 ,155 , 45 ,154 , 81 , 26 ,105 ,151 ,122 , 55 ,115 )( 23 , 85 ,120 , 93 ,145 ,108 , 68 , 75 ,125 ,156 , 97 ,106 , 40 , 37 13 ]:=1 , 34 , 33 )( 2 , 6 , 11 )( 3 , 22 , 18 )( 4 , 20 , 53 )( 5 , 59 , 52 )7 , 62 , 81 )( 8 , 70 , 89 )( 9 , 93 , 55 )( 10 , 13 , 36 )( 12 , 75 ,111 )14 ,106 , 61 )( 15 , 91 , 83 )( 16 , 64 , 29 )( 17 , 39 , 90 )( 19 ,119 , 95 )21 , 72 ,114 )( 23 ,100 ,134 )( 24 ,137 , 35 )( 25 ,117 ,131 )( 26 , 57 , 40 )27 , 44 ,136 )( 28 , 84 , 47 )( 30 , 96 , 48 )( 31 , 76 , 77 )( 32 , 49 , 68 )37 , 42 , 88 )( 38 ,139 ,145 )( 41 ,126 ,103 )( 43 ,146 , 63 )( 45 , 80 , 86 )46 , 97 , 58 )( 50 ,109 ,108 )( 51 , 82 ,104 )( 54 ,129 , 79 )( 56 ,122 , 85 )60 ,130 ,153 )( 65 ,124 ,112 )( 66 ,149 ,116 )( 67 ,115 , 73 )( 69 ,152 ,121 )71 ,135 ,144 )( 74 ,102 ,147 )( 78 ,132 , 98 )( 87 ,128 ,107 )( 92 ,101 ,133 )94 ,123 ,141 )( 99 ,142 ,143 )(105 ,156 ,138 )(110 ,113 ,127 )(118 ,125 ,151 )120 ,150 ,155 )(140 ,154 ,148 ), ( 1 ,151 )( 2 ,146 )( 3 ,133 )( 4 ,156 )5 ,144 )( 6 ,114 )( 7 ,154 )( 8 ,128 )( 9 , 79 )( 10 ,152 )( 11 ,137 )12 ,142 )( 13 , 97 )( 14 , 86 )( 15 ,155 )( 16 ,110 )( 17 ,149 )( 18 ,119 )19 ,121 )( 20 , 57 )( 21 ,113 )( 22 , 89 )( 23 ,150 )( 24 ,131 )( 25 ,148 )26 ,153 )( 27 ,109 )( 28 , 95 )( 29 ,129 )( 30 , 41 )( 32 ,117 )( 33 , 59 )34 ,111 )( 35 , 76 )( 36 ,136 )( 37 ,102 )( 38 ,140 )( 40 ,126 )( 42 ,141 )43 ,116 )( 44 , 83 )( 45 ,143 )( 46 ,132 )( 48 ,135 )( 49 , 67 )( 50 , 87 )51 ,139 )( 52 , 93 )( 53 ,106 )( 54 , 63 )( 55 , 84 )( 56 , 99 )( 60 ,105 )61 , 64 )( 62 , 88 )( 65 ,123 )( 66 ,120 )( 68 ,147 )( 69 ,138 )( 70 , 81 )71 ,118 )( 72 ,145 )( 73 ,122 )( 74 , 78 )( 75 ,134 )( 85 ,101 )( 90 ,115 )94 ,130 )( 96 ,103 )( 98 ,125 )(100 ,112 )(108 ,127 ) ];14 ]:=1 , 77 , 78 )( 2 , 28 , 98 )( 3 ,114 , 55 )( 4 , 54 , 65 )( 5 , 84 , 29 )6 , 85 ,134 )( 7 , 51 ,111 )( 8 ,115 ,106 )( 9 ,124 , 18 )( 10 , 19 , 37 )11 , 47 ,130 )( 12 , 32 , 43 )( 13 ,132 ,109 )( 14 ,117 , 86 )( 15 ,133 , 62 )16 ,145 , 52 )( 17 , 69 , 23 )( 20 , 45 ,116 )( 21 , 81 , 76 )( 22 ,118 ,143 )24 , 40 , 48 )( 25 , 83 , 91 )( 26 , 90 , 94 )( 27 ,148 , 87 )( 30 , 95 ,139 )31 ,147 , 33 )( 34 , 68 ,153 )( 35 ,129 ,120 )( 36 ,125 , 75 )( 38 , 73 ,137 )39 , 57 , 71 )( 41 ,144 , 63 )( 42 ,123 , 96 )( 44 ,101 ,119 )( 46 ,122 , 60 )49 , 61 ,100 )( 50 ,151 , 89 )( 53 , 80 , 72 )( 56 ,135 ,121 )( 58 ,126 , 70 )59 ,136 ,146 )( 64 ,149 , 97 )( 66 ,128 ,104 )( 67 ,131 , 92 )( 74 ,154 ,105 )79 ,110 ,141 )( 82 ,113 ,127 )( 88 ,150 ,112 )( 93 ,156 ,142 )( 99 ,140 ,152 )102 ,107 ,138 )(103 ,108 ,155 ), 1 ,152 ,139 , 9 , 97 ,129 , 80 , 87 , 74 , 23 ,128 ,135 )( 2 ,137 ,109 , 28 , 75 ,81 , 82 ,106 ,123 , 37 , 73 ,151 )( 3 ,104 ,100 , 47 ,105 , 41 , 60 ,120 ,110 ,12 ,140 ,141 )( 4 ,155 , 52 , 19 ,143 ,115 ,113 , 86 , 36 , 65 , 83 ,145 )5 ,142 ,148 , 31 , 63 , 64 , 94 , 49 , 95 , 7 ,156 ,121 )( 6 , 91 , 71 , 85 ,42 , 67 ,112 , 76 ,138 , 40 ,108 ,102 )( 8 , 99 ,154 , 16 , 35 , 66 ,125 , 30 ,27 , 38 ,149 , 56 )( 10 ,122 , 55 , 54 ,130 , 32 ,127 , 29 , 90 , 98 , 51 ,147 )11 ,111 ,116 ,114 , 26 ,126 , 33 , 43 ,153 , 84 , 46 ,119 )( 13 , 61 , 25 ,118 ,79 , 14 ,103 ,144 , 50 , 21 , 93 , 96 )( 15 ,136 , 89 , 24 ,146 ,117 , 88 , 92 ,22 , 62 , 39 ,132 )( 17 ,150 , 18 , 69 ,134 , 77 , 72 , 48 , 53 , 78 ,133 ,124 )20 , 57 , 45 , 68 ,107 , 44 , 70 ,131 ,101 , 58 , 59 , 34 ) ];15 ]:=1 ,46 ,28 , 9 ,15 ,49 ,53 ,18 ,45 )( 2 ,37 ,17 ,56 ,55 , 8 ,10 ,41 ,36 )( 3 ,50 ,48 ,22 ,44 ,27 ,13 ,16 ,23 )( 4 ,12 ,40 , 6 ,35 ,34 ,38 ,47 ,32 )( 5 ,43 ,54 ,39 ,14 ,26 ,19 ,52 ,31 )7 ,24 ,21 ,11 ,25 ,42 ,29 ,30 ,51 ), 1 ,54 ,21 ,33 ,42 ,14 ,15 ,18 ,37 ,55 ,35 ,22 ,20 ,13 ,38 ,36 ,17 ,53 )( 2 , 5 ,32 ,45 ,29 ,6 , 3 ,47 ,24 ,49 ,40 ,19 ,56 ,16 ,43 ,51 ,26 ,48 )( 4 , 7 ,11 ,28 ,25 ,30 ,12 ,41 ,46 ,52 ,50 ,44 ,10 ,27 ,23 ,31 , 9 , 8 )(34 ,39 ) ];16 ]:=2 , 3 , 5 , 8 ,11 ,14 ,17 ,20 ,19 ,16 ,13 ,10 , 7 , 4 )( 6 , 9 )(12 ,15 )(18 ,21 ), 1 , 2 , 3 )( 4 , 6 , 5 )( 7 , 8 , 9 )(10 ,12 ,11 )(13 ,14 ,15 )(16 ,18 ,17 )(19 ,20 ,21 ),2 , 3 )( 4 , 5 )( 7 , 8 )(10 ,11 )(13 ,14 )(16 ,17 )(19 ,20 ) ];17 ]:=2 , 3 , 5 , 8 ,14 ,12 , 7 , 4 )( 6 , 9 ,15 ,24 ,36 ,26 ,16 ,10 )(11 ,17 ,27 ,40 ,56 ,41 ,28 ,18 13 ,20 ,30 ,43 ,60 ,45 ,31 ,21 )(19 ,22 ,32 ,46 ,65 ,59 ,42 ,29 )(23 ,33 ,25 ,37 ,51 ,67 ,47 ,34 )(35 ,48 ,68 ,54 ,39 ,53 ,69 ,49 )(38 ,50 ,70 ,62 ,44 ,61 ,72 ,52 )55 ,73 ,81 ,63 ,80 ,79 ,83 ,74 )(57 ,75 ,82 ,64 ,78 ,58 ,77 ,76 )(66 ,84 ,88 ,89 ,86 ,71 ,87 ,85 ), ( 1 , 2 , 3 )( 4 , 6 , 5 )( 7 ,11 , 9 )( 8 ,10 ,13 )(12 ,19 ,17 )(14 ,21 ,22 )15 ,18 ,23 )(16 ,25 ,20 )(24 ,34 ,35 )(26 ,38 ,37 )(27 ,29 ,39 )(28 ,30 ,33 )31 ,44 ,32 )(36 ,49 ,50 )(40 ,54 ,55 )(41 ,57 ,43 )(42 ,58 ,53 )(45 ,63 ,61 )46 ,62 ,64 )(47 ,66 ,48 )(51 ,52 ,71 )(56 ,74 ,75 )(59 ,79 ,77 )(60 ,76 ,80 )65 ,82 ,83 )(67 ,86 ,84 )(68 ,85 ,73 )(69 ,78 ,70 )(72 ,81 ,87 )(88 ,89 ,90 ), 2 , 3 )( 4 , 5 )( 7 , 8 )( 9 ,10 )(11 ,13 )(12 ,14 )(15 ,16 )(17 ,21 )(18 ,20 )(19 ,22 )23 ,25 )(24 ,26 )(27 ,31 )(28 ,30 )(29 ,32 )(34 ,37 )(35 ,38 )(39 ,44 )(40 ,45 )41 ,43 )(42 ,46 )(47 ,51 )(48 ,52 )(49 ,50 )(53 ,62 )(54 ,61 )(55 ,63 )(56 ,60 )58 ,64 )(59 ,65 )(66 ,71 )(68 ,72 )(69 ,70 )(73 ,81 )(74 ,80 )(75 ,76 )(77 ,82 )79 ,83 )(84 ,86 )(85 ,87 )(88 ,89 ) ];18 ]:=1 ,35 ,54 ,87 ,86 ,41 ,59 ,11 ,68 ,90 ,38 ,62 )( 2 ,57 ,28 ,91 ,81 , 8 ,43 ,63 ,95 ,84 ,60 ,37 )3 ,13 ,44 ,78 ,89 ,24 ,45 ,39 ,94 ,92 ,33 , 9 )( 4 ,83 ,16 ,55 ,72 ,29 ,71 ,31 ,76 ,49 ,18 ,79 )( 5 ,22 ,23 ,53 ,36 ,70 ,64 ,19 ,85 ,50 ,74 ,46 )( 6 ,27 ,61 ,69 ,75 ,14 ,77 ,80 ,51 ,65 ,20 ,17 )( 7 ,96 ,56 ,30 ,26 ,67 ,34 ,42 ,47 ,93 ,10 ,48 )(12 ,88 ,82 ,58 ,66 ,73 ,21 ,25 ,32 ,52 ,40 ,15 ), 1 ,46 ,73 ,47 ,69 ,45 ,57 ,52 )( 2 ,62 ,50 ,18 ,89 ,39 ,83 ,61 )( 3 , 9 ,20 ,60 ,70 ,77 ,35 ,22 )( 4 ,81 ,80 ,76 ,78 ,19 ,48 ,90 )( 5 ,33 ,41 ,66 ,88 ,43 ,13 ,17 )6 ,37 ,32 ,38 ,24 ,85 ,96 ,12 )( 7 ,40 ,64 ,68 ,91 ,14 ,25 ,93 )( 8 ,65 ,67 ,26 ,23 ,59 ,27 ,74 )(10 ,75 ,94 ,55 ,36 ,11 ,79 ,28 )(15 ,92 ,29 ,86 ,63 ,71 ,44 ,21 )16 ,56 ,82 ,95 ,87 ,58 ,42 ,49 )(30 ,84 ,31 ,72 ,54 ,34 ,53 ,51 ) ];19 ]:=2 , 3 , 5 , 8 ,11 ,14 ,17 ,20 ,23 ,22 ,19 ,16 ,13 ,10 , 7 , 4 )( 6 , 9 )(12 ,15 )(18 ,21 ), 1 , 2 , 3 )( 4 , 6 , 5 )( 7 , 8 , 9 )(10 ,12 ,11 )(13 ,14 ,15 )(16 ,18 ,17 )(19 ,20 ,21 )22 ,24 ,23 ), ( 2 , 3 )( 4 , 5 )( 7 , 8 )(10 ,11 )(13 ,14 )(16 ,17 )(19 ,20 )(22 ,23 ) ];20 ]:=2 , 3 , 5 , 8 , 14 , 12 , 7 , 4 )( 6 , 9 , 15 , 24 , 36 , 26 , 16 , 10 )11 , 17 , 27 , 41 , 57 , 43 , 28 , 18 )( 13 , 20 , 30 , 46 , 66 , 48 , 31 , 21 )19 , 22 , 32 , 49 , 71 , 62 , 44 , 29 )( 23 , 33 , 50 , 53 , 38 , 25 , 37 , 34 )35 , 39 , 52 , 74 , 92 , 91 , 73 , 51 )( 40 , 54 , 76 , 87 , 68 , 47 , 67 , 55 )42 , 58 , 79 , 84 , 64 , 45 , 63 , 59 )( 56 , 69 , 86 , 98 ,112 ,106 , 93 , 77 )60 , 78 , 94 ,107 , 99 , 88 , 70 , 80 )( 61 , 81 , 95 ,109 , 97 , 85 , 65 , 82 )72 , 75 )( 83 , 89 ,100 ,114 ,125 ,122 ,110 , 96 )( 90 ,101 ,115 ,108 ,121 ,113 ,116 ,102 )(103 ,104 ,118 ,105 ,119 ,123 ,111 ,117 )(120 ,124 ), 1 , 2 , 3 )( 4 , 6 , 5 )( 7 , 11 , 9 )( 8 , 10 , 13 )( 12 , 19 , 17 )14 , 21 , 22 )( 15 , 18 , 23 )( 16 , 25 , 20 )( 24 , 34 , 35 )( 26 , 39 , 37 )27 , 29 , 40 )( 28 , 42 , 33 )( 30 , 38 , 45 )( 31 , 47 , 32 )( 36 , 51 , 52 )41 , 55 , 56 )( 43 , 60 , 58 )( 44 , 61 , 54 )( 46 , 64 , 65 )( 48 , 69 , 67 )49 , 68 , 70 )( 50 , 59 , 72 )( 53 , 75 , 63 )( 57 , 77 , 78 )( 62 , 83 , 81 )66 , 85 , 86 )( 71 , 88 , 89 )( 73 , 90 , 74 )( 76 , 82 , 84 )( 79 , 80 , 87 )91 ,103 ,101 )( 92 ,102 ,104 )( 93 ,105 , 94 )( 95 , 96 ,108 )( 97 ,111 , 98 )99 ,113 ,100 )(106 ,120 ,119 )(107 ,118 ,116 )(109 ,115 ,117 )(110 ,114 ,121 )112 ,123 ,124 )(122 ,126 ,125 ), ( 2 , 3 )( 4 , 5 )( 7 , 8 )( 9 , 10 )11 , 13 )( 12 , 14 )( 15 , 16 )( 17 , 21 )( 18 , 20 )( 19 , 22 )( 23 , 25 )24 , 26 )( 27 , 31 )( 28 , 30 )( 29 , 32 )( 33 , 38 )( 34 , 37 )( 35 , 39 )40 , 47 )( 41 , 48 )( 42 , 45 )( 43 , 46 )( 44 , 49 )( 50 , 53 )( 51 , 52 )54 , 68 )( 55 , 67 )( 56 , 69 )( 57 , 66 )( 58 , 64 )( 59 , 63 )( 60 , 65 )61 , 70 )( 62 , 71 )( 72 , 75 )( 73 , 74 )( 76 , 87 )( 77 , 86 )( 78 , 85 )79 , 84 )( 80 , 82 )( 81 , 88 )( 83 , 89 )( 91 , 92 )( 93 , 98 )( 94 , 97 )95 , 99 )( 96 ,100 )(101 ,102 )(103 ,104 )(105 ,111 )(106 ,112 )(107 ,109 )108 ,113 )(110 ,114 )(115 ,116 )(117 ,118 )(119 ,123 )(120 ,124 )(122 ,125 ) ];21 ]:=1 , 36 )( 2 , 54 )( 3 , 53 )( 4 ,106 )( 5 ,103 )( 6 ,121 )( 7 , 61 )( 8 , 70 )9 , 87 )( 10 , 95 )( 11 , 88 )( 12 , 14 )( 13 , 94 )( 15 , 63 )( 16 , 67 )17 , 21 )( 18 , 50 )( 19 , 22 )( 20 , 56 )( 23 , 76 )( 24 , 66 )( 25 , 84 )26 , 75 )( 27 ,107 )( 28 , 97 )( 29 ,109 )( 30 , 91 )( 31 ,101 )( 32 ,102 )33 , 96 )( 34 , 90 )( 35 , 92 )( 37 , 98 )( 38 , 86 )( 39 , 99 )( 40 , 85 )41 , 58 )( 42 ,117 )( 43 , 46 )( 44 , 60 )( 45 ,110 )( 47 , 77 )( 48 , 72 )49 , 73 )( 51 ,113 )( 52 ,100 )( 55 ,115 )( 57 ,108 )( 59 , 65 )( 62 , 68 )64 , 69 )( 71 , 74 )( 78 , 89 )( 79 ,125 )( 80 ,116 )( 81 ,112 )( 82 , 93 )83 ,124 )(104 ,126 )(105 ,111 )(114 ,118 )(119 ,122 )(120 ,123 ), 1 , 59 , 87 ,122 , 32 , 50 , 24 , 99 , 16 , 38 , 19 ,101 ,111 , 57 )2 , 34 , 98 , 55 , 5 , 30 , 41 ,124 , 52 ,108 , 39 ,116 , 31 , 18 )3 ,104 , 74 ,110 , 20 , 93 , 83 , 66 , 51 , 63 , 11 ,105 , 90 , 82 )4 , 10 , 21 , 68 , 27 , 15 , 8 , 49 , 96 ,120 , 64 ,109 , 80 , 29 )6 , 37 ,126 , 23 , 9 ,118 , 45 , 58 , 78 ,115 , 73 , 47 , 62 , 91 )7 , 72 , 53 ,113 , 81 , 86 , 14 , 88 , 56 , 79 , 92 ,106 , 77 , 69 )12 ,117 ,103 , 42 ,112 , 95 , 46 , 22 , 28 , 60 , 94 , 67 , 85 ,123 )13 , 71 , 97 , 76 , 33 , 43 ,119 , 70 , 25 ,107 , 65 , 40 , 17 ,114 )26 ,125 , 36 , 84 ,102 , 48 , 75 , 54 , 89 , 35 , 44 , 61 ,121 ,100 ) ];22 ]:=2 , 3 , 5 , 8 ,14 ,23 ,20 ,12 , 7 , 4 )( 6 , 9 ,15 ,24 ,35 ,50 ,36 ,25 ,16 ,10 )11 ,17 ,26 ,38 ,55 ,43 ,30 ,21 ,13 ,18 )(19 ,27 ,39 ,45 ,32 ,22 ,31 ,44 ,40 ,28 )29 ,33 ,46 ,61 ,59 ,69 ,68 ,54 ,57 ,41 )(34 ,47 ,62 ,53 ,37 ,52 ,42 ,58 ,63 ,48 )49 ,64 ,60 ,56 ,67 ,51 ,66 ,71 ,70 ,65 ), 1 , 2 , 3 )( 4 , 6 , 5 )( 7 ,11 , 9 )( 8 ,10 ,13 )(12 ,19 ,17 )(14 ,21 ,22 )(15 ,18 ,16 )20 ,29 ,27 )(23 ,32 ,33 )(24 ,25 ,34 )(26 ,28 ,37 )(30 ,42 ,31 )(35 ,48 ,49 )36 ,51 ,47 )(38 ,53 ,54 )(39 ,41 ,56 )(40 ,44 ,52 )(43 ,59 ,58 )(45 ,60 ,46 )50 ,65 ,66 )(55 ,68 ,69 )(57 ,62 ,67 )(61 ,64 ,63 )(70 ,72 ,71 ), 2 , 3 )( 4 , 5 )( 7 , 8 )( 9 ,10 )(11 ,13 )(12 ,14 )(15 ,16 )(17 ,21 )(19 ,22 )(20 ,23 )24 ,25 )(26 ,30 )(27 ,32 )(28 ,31 )(29 ,33 )(35 ,36 )(37 ,42 )(38 ,43 )(39 ,45 )40 ,44 )(41 ,46 )(47 ,48 )(49 ,51 )(53 ,58 )(54 ,59 )(56 ,60 )(57 ,61 )(62 ,63 )64 ,67 )(65 ,66 )(68 ,69 )(70 ,71 ) ];23 ]:=2 , 3 , 5 , 8 ,14 ,24 ,37 ,32 ,20 ,12 , 7 , 4 )( 6 , 9 ,15 ,26 ,16 ,10 )(11 ,17 ,28 ,18 )13 ,21 ,33 ,22 )(19 ,29 ,30 )(23 ,34 ,35 )(25 ,38 ,31 ,42 ,44 ,36 ,41 ,27 ,40 ,47 ,46 ,39 43 ,45 ), ( 1 , 2 , 3 )( 4 , 6 , 5 )( 7 ,11 , 9 )( 8 ,10 ,13 )(12 ,19 ,17 )14 ,22 ,23 )(15 ,18 ,25 )(16 ,27 ,21 )(20 ,31 ,29 )(24 ,35 ,36 )(26 ,39 ,40 )28 ,30 ,38 )(32 ,43 ,42 )(33 ,41 ,34 )(37 ,44 ,45 )(46 ,48 ,47 ), 2 , 3 )( 4 , 5 )( 7 , 8 )( 9 ,10 )(11 ,13 )(12 ,14 )(15 ,16 )(17 ,22 )(18 ,21 )(19 ,23 )20 ,24 )(25 ,27 )(28 ,33 )(29 ,35 )(30 ,34 )(31 ,36 )(32 ,37 )(38 ,41 )(39 ,40 )42 ,44 )(43 ,45 )(46 ,47 ) ];24 ]:=1 ,32 ,15 ,28 ,23 )( 2 ,11 ,61 ,25 ,13 ,24 ,18 ,44 ,68 ,22 )( 3 ,20 ,63 ,34 ,41 ,14 , 4 ,45 ,29 ,58 )( 5 ,73 ,38 ,12 ,39 , 8 ,51 ,59 , 7 ,71 )( 6 ,60 ,50 ,52 ,36 ,42 ,10 ,19 ,48 ,37 )9 ,54 ,74 ,65 ,16 ,26 ,49 ,75 ,31 ,46 )(17 ,21 ,67 ,53 ,64 ,30 ,35 ,55 ,72 ,66 )27 ,69 ,47 ,56 ,70 ,43 ,57 ,62 ,40 ,33 ), 1 ,63 ,27 ,75 ,12 ,18 ,48 ,55 ,64 ,52 ,22 , 5 ,74 ,56 ,58 )( 2 ,15 ,62 ,57 ,28 ,24 ,39 , 6 ,59 ,17 ,10 ,29 ,70 ,16 ,25 ,14 , 9 ,53 ,72 ,46 , 4 ,61 ,26 ,33 ,34 ,42 ,21 ,51 ,60 ,71 )3 ,38 ,31 ,66 , 7 ,50 ,30 ,47 ,65 ,43 ,40 ,49 ,69 ,35 ,37 , 8 ,67 ,54 ,73 ,20 ,32 ,11 ,45 ,19 ,44 ,68 ,36 ,41 ,13 ,23 ) ];25 ]:=1 ,26 ,30 ,24 , 8 ,48 ,34 ,14 ,22 ,53 )( 2 ,60 , 7 ,32 ,25 ,38 ,35 ,39 ,40 ,41 )3 ,54 ,47 ,46 ,58 )( 4 , 6 ,16 ,27 ,51 ,59 ,23 ,49 ,10 ,28 )( 5 ,44 ,19 ,42 ,52 ,31 ,20 ,50 ,56 ,21 )( 9 ,57 ,55 ,33 ,45 ,17 ,18 ,36 ,29 ,11 )(12 ,43 ,13 ,37 ,15 ), 1 ,57 , 3 ,44 , 9 ,29 ,21 ,15 ,36 , 8 ,40 )( 2 ,54 ,17 ,41 ,39 ,33 ,37 ,35 ,28 ,14 ,59 )4 ,18 ,31 ,55 ,51 ,46 ,24 ,27 , 6 ,26 ,43 )( 7 ,13 ,48 ,19 ,16 ,56 ,53 ,47 ,25 ,22 ,34 )10 ,20 ,52 ,23 ,12 ,42 ,38 ,11 ,60 ,50 ,58 ) ];26 ]:=2 , 3 , 5 , 8 ,14 ,23 ,31 ,27 ,19 ,12 , 7 , 4 )( 6 , 9 ,15 ,10 )(11 ,16 ,21 ,13 ,20 ,28 ,36 ,46 ,42 ,33 ,24 ,17 )(18 ,25 ,29 ,22 )(26 ,34 ,43 ,45 ,51 ,53 ,52 ,50 ,41 ,47 ,37 ,30 )32 ,39 ,49 ,40 )(35 ,38 ,48 ,44 ), ( 1 , 2 , 3 )( 4 , 6 , 5 )( 7 ,11 , 9 )( 8 ,10 ,13 )12 ,18 ,16 )(14 ,21 ,22 )(15 ,17 ,20 )(19 ,26 ,25 )(23 ,29 ,30 )(24 ,32 ,28 )27 ,35 ,34 )(31 ,37 ,38 )(33 ,41 ,39 )(36 ,40 ,45 )(42 ,48 ,47 )(43 ,44 ,46 )49 ,50 ,51 )(52 ,54 ,53 ), ( 2 , 3 )( 4 , 5 )( 7 , 8 )( 9 ,10 )(11 ,13 )(12 ,14 )16 ,21 )(17 ,20 )(18 ,22 )(19 ,23 )(24 ,28 )(25 ,29 )(26 ,30 )(27 ,31 )(33 ,36 )34 ,37 )(35 ,38 )(39 ,40 )(41 ,45 )(42 ,46 )(43 ,47 )(44 ,48 )(50 ,51 )(52 ,53 ) ];27 ]:=2 , 3 , 5 , 8 ,14 ,24 ,36 ,32 ,20 ,12 , 7 , 4 )( 6 , 9 ,15 ,26 ,16 ,10 )(11 ,17 ,28 ,42 ,48 ,34 ,22 ,13 ,21 ,33 ,29 ,18 )(19 ,30 ,23 ,35 ,44 ,31 )(25 ,37 ,40 ,27 ,39 ,50 ,47 ,53 ,51 ,41 ,49 ,38 )(43 ,46 )(52 ,54 ), ( 1 , 2 , 3 )( 4 , 6 , 5 )( 7 ,11 , 9 )( 8 ,10 ,13 )12 ,19 ,17 )(14 ,22 ,23 )(15 ,18 ,25 )(16 ,27 ,21 )(20 ,24 ,30 )(26 ,38 ,39 )28 ,31 ,41 )(29 ,43 ,37 )(32 ,45 ,36 )(33 ,40 ,46 )(34 ,47 ,35 )(42 ,51 ,52 )44 ,50 ,49 )(48 ,54 ,53 ), ( 2 , 3 )( 4 , 5 )( 7 , 8 )( 9 ,10 )(11 ,13 )(12 ,14 )15 ,16 )(17 ,22 )(18 ,21 )(19 ,23 )(20 ,24 )(25 ,27 )(28 ,34 )(29 ,33 )(31 ,35 )32 ,36 )(37 ,40 )(38 ,39 )(41 ,47 )(42 ,48 )(43 ,46 )(49 ,50 )(51 ,53 )(52 ,54 ) ];28 ]:=1 , 7 ,18 ,11 ,21 ,25 )( 2 ,24 ,17 ,15 ,19 , 6 )( 3 ,20 ,16 )( 4 ,14 ,22 )( 5 ,27 ,23 , 9 ,13 ,12 )( 8 ,26 ,10 ), ( 1 ,20 , 9 ,14 ,15 , 8 ,21 , 3 ,27 , 4 ,24 ,10 ,18 ,16 ,12 ,22 , 6 ,26 )( 2 , 7 )( 5 ,13 )(11 ,19 )(17 ,25 ) ];29 ]:=2 , 3 , 5 , 8 , 14 , 12 , 7 , 4 )( 6 , 9 , 15 , 24 , 36 , 26 , 16 , 10 )11 , 17 , 27 , 41 , 61 , 43 , 28 , 18 )( 13 , 20 , 30 , 46 , 70 , 48 , 31 , 21 )19 , 22 , 32 , 49 , 75 , 66 , 44 , 29 )( 23 , 33 , 50 , 77 ,111 , 79 , 51 , 34 )25 , 37 , 55 , 84 ,123 , 86 , 56 , 38 )( 35 , 52 , 80 ,116 ,153 ,118 , 81 , 53 )39 , 54 , 82 ,119 ,155 ,128 , 87 , 57 )( 40 , 58 , 88 ,130 ,166 ,132 , 89 , 59 )42 , 62 , 93 , 63 )( 45 , 67 , 98 , 68 )( 47 , 71 ,102 ,140 ,176 ,141 ,103 , 72 )60 , 90 ,133 ,110 ,147 ,164 ,129 , 91 )( 64 , 92 , 96 , 65 , 95 ,135 ,134 , 94 )69 , 99 ,137 ,143 ,106 , 74 ,105 ,100 )( 73 ,101 ,138 ,173 ,160 ,126 ,142 ,104 )76 ,108 ,145 ,151 ,115 ,150 ,146 ,109 )( 78 ,112 ,121 , 83 ,120 ,156 ,149 ,113 )85 ,124 ,158 ,162 ,127 ,161 ,159 ,125 )( 97 ,107 ,144 ,179 ,191 ,188 ,171 ,136 )114 ,148 ,131 ,167 ,174 ,139 ,157 ,122 )(117 ,154 )(152 ,169 ,170 ,187 ,178 ,172 ,163 ,182 )(165 ,180 ,181 ,183 ,184 ,177 ,190 ,185 )(168 ,186 ,189 ,175 ), 1 , 2 , 3 )( 4 , 6 , 5 )( 7 , 11 , 9 )( 8 , 10 , 13 )( 12 , 19 , 17 )14 , 21 , 22 )( 15 , 18 , 23 )( 16 , 25 , 20 )( 24 , 34 , 35 )( 26 , 39 , 37 )27 , 29 , 40 )( 28 , 42 , 33 )( 30 , 38 , 45 )( 31 , 47 , 32 )( 36 , 53 , 54 )41 , 59 , 60 )( 43 , 64 , 62 )( 44 , 65 , 58 )( 46 , 68 , 69 )( 48 , 73 , 71 )49 , 72 , 74 )( 50 , 63 , 76 )( 51 , 78 , 52 )( 55 , 57 , 83 )( 56 , 85 , 67 )61 , 91 , 92 )( 66 , 97 , 95 )( 70 ,100 ,101 )( 75 ,106 ,107 )( 77 ,109 ,110 )79 ,114 ,112 )( 80 ,113 ,115 )( 81 ,117 , 82 )( 84 ,121 ,122 )( 86 ,126 ,124 )87 ,127 ,120 )( 88 , 96 ,129 )( 89 ,131 , 90 )( 93 , 94 ,108 )( 98 ,125 , 99 )102 ,104 ,139 )(103 ,138 ,105 )(111 ,133 ,148 )(116 ,151 ,152 )(118 ,119 ,154 )123 ,157 ,142 )(128 ,163 ,161 )(130 ,164 ,165 )(132 ,168 ,167 )(134 ,169 ,145 )135 ,136 ,170 )(137 ,159 ,172 )(140 ,174 ,175 )(141 ,177 ,173 )(143 ,178 ,144 )146 ,180 ,147 )(149 ,181 ,150 )(153 ,182 ,155 )(156 ,162 ,183 )(158 ,160 ,184 )166 ,185 ,186 )(171 ,179 ,187 )(176 ,189 ,190 )(188 ,192 ,191 ), 2 , 3 )( 4 , 5 )( 7 , 8 )( 9 , 10 )( 11 , 13 )( 12 , 14 )( 15 , 16 )17 , 21 )( 18 , 20 )( 19 , 22 )( 23 , 25 )( 24 , 26 )( 27 , 31 )( 28 , 30 )29 , 32 )( 33 , 38 )( 34 , 37 )( 35 , 39 )( 40 , 47 )( 41 , 48 )( 42 , 45 )43 , 46 )( 44 , 49 )( 50 , 56 )( 51 , 55 )( 52 , 57 )( 53 , 54 )( 58 , 72 )59 , 71 )( 60 , 73 )( 61 , 70 )( 62 , 68 )( 63 , 67 )( 64 , 69 )( 65 , 74 )66 , 75 )( 76 , 85 )( 77 , 86 )( 78 , 83 )( 79 , 84 )( 80 , 87 )( 81 , 82 )88 ,103 )( 89 ,102 )( 90 ,104 )( 91 ,101 )( 92 ,100 )( 93 , 98 )( 94 , 99 )95 ,106 )( 96 ,105 )( 97 ,107 )(108 ,125 )(109 ,124 )(110 ,126 )(111 ,123 )112 ,121 )(113 ,120 )(114 ,122 )(115 ,127 )(116 ,128 )(118 ,119 )(129 ,138 )130 ,141 )(131 ,139 )(132 ,140 )(133 ,142 )(134 ,137 )(135 ,143 )(136 ,144 )145 ,159 )(146 ,158 )(147 ,160 )(148 ,157 )(149 ,156 )(150 ,162 )(151 ,161 )152 ,163 )(153 ,155 )(164 ,173 )(165 ,177 )(166 ,176 )(167 ,174 )(168 ,175 )169 ,172 )(170 ,178 )(171 ,179 )(180 ,184 )(181 ,183 )(185 ,190 )(186 ,189 )188 ,191 ) ];30 ]:=1 , 4 ,49 ,29 ,16 ,30 ,45 ,27 )( 2 ,35 ,46 ,44 ,32 ,15 ,33 ,60 )( 3 ,10 , 8 ,25 , 5 ,17 ,42 , 9 6 ,58 ,59 ,54 ,34 ,40 ,12 ,36 )( 7 ,37 ,48 ,53 ,50 ,41 ,64 ,21 )(11 ,56 ,14 ,39 ,43 ,52 ,24 ,28 )(13 ,18 ,22 ,26 ,55 ,63 ,31 ,62 )(19 ,47 ,20 ,51 ,38 ,57 ,61 ,23 ), 1 ,17 ,62 ,53 ,59 ,12 )( 2 ,30 ,64 ,32 , 8 ,23 ,39 ,14 ,11 ,28 ,57 ,22 )3 , 9 ,54 ,48 , 6 , 4 ,40 ,63 ,55 ,43 ,61 ,24 )( 5 ,45 ,60 ,29 ,49 ,36 ,58 ,37 , 7 ,15 ,41 ,13 )(10 ,52 ,26 ,38 ,46 ,19 )(16 ,33 ,21 )(18 ,50 ,31 ,34 ,42 ,27 ,25 ,44 ,51 ,20 ,47 ,35 ) ];31 ]:=1 ,43 ,45 )( 2 ,23 ,61 ,24 ,54 ,27 ,56 ,41 ,22 ,20 ,37 ,64 )( 3 , 7 ,58 ,26 , 8 ,28 ,55 ,40 ,30 ,19 ,32 ,34 )( 4 ,31 ,60 ,36 , 6 ,52 ,63 , 9 ,18 ,29 ,49 ,21 )( 5 ,42 ,15 ,38 ,33 ,57 ,44 ,62 ,59 ,11 ,39 ,25 )(10 ,51 ,53 )(13 ,35 ,14 )(16 ,48 ,47 )(17 ,46 ,50 ), 1 ,63 ,12 ,36 ,35 , 4 ,10 ,29 )( 2 ,20 ,31 ,49 ,34 ,30 ,57 ,15 )( 3 ,54 ,52 , 5 ,41 ,19 ,38 ,60 )( 6 ,56 ,58 , 9 ,59 ,28 ,24 ,25 )( 7 ,17 ,32 ,14 ,40 ,45 , 8 ,50 )11 ,44 ,55 ,26 ,21 ,18 ,23 ,37 )(13 ,64 ,43 ,22 ,48 ,27 ,16 ,61 )(33 ,53 ,42 ,46 ,39 ,51 ,62 ,47 ) ];32 ]:=1 , 3 )( 4 , 6 )( 8 , 9 )(10 ,12 )(14 ,15 )(16 ,18 )(20 ,21 )(22 ,24 )(26 ,27 )(28 ,30 ), 1 ,13 ,21 , 5 ,24 ,23 , 6 ,19 ,15 , 2 ,30 ,17 ,12 ,25 , 9 , 7 ,27 ,11 ,18 ,29 )( 3 ,14 )4 ,20 )(10 ,26 )(16 ,28 ) ];33 ]:=1 ,58 ,24 , 9 ,34 ,32 ,56 ,36 ,28 ,10 ,20 ,54 )( 2 ,21 ,19 , 5 ,40 ,45 ,37 , 4 ,23 ,18 , 3 ,67 )6 ,51 ,11 ,35 ,38 ,12 ,70 ,14 ,39 ,31 ,13 ,50 )( 7 ,53 ,16 ,17 ,68 ,30 ,65 ,22 ,15 ,57 ,8 ,71 )(25 ,61 ,27 ,49 ,59 ,33 ,64 ,44 ,60 ,29 ,55 ,52 )(26 ,62 ,48 ,46 ,66 ,47 ,72 ,41 ,69 ,43 ,42 ,63 ), ( 1 ,59 )( 2 ,22 ,36 ,11 )( 3 ,27 ,32 ,41 )( 4 ,57 ,24 ,38 )5 ,69 ,20 ,49 )( 6 ,30 )( 7 ,64 ,14 ,63 )( 8 ,33 ,12 ,42 )( 9 ,61 )(10 ,19 )13 ,25 ,17 ,47 )(15 ,35 )(16 ,71 )(18 ,54 ,34 ,40 )(21 ,51 ,28 ,65 )(23 ,72 )(26 ,44 )29 ,60 ,48 ,62 )(31 ,70 )(37 ,50 ,58 ,68 )(39 ,52 ,53 ,66 )(43 ,45 )(46 ,55 )(56 ,67 ) ];34 ]:=2 , 3 , 5 , 8 ,14 ,21 ,28 ,37 ,42 ,35 ,27 ,19 ,12 , 7 , 4 )( 6 , 9 ,15 ,23 ,30 ,39 ,44 ,46 ,47 ,45 ,40 ,31 ,25 ,16 ,10 )(11 ,17 ,13 ,20 ,18 )(22 ,24 ,29 )(26 ,32 ,33 )34 ,41 ,38 ,43 ,36 ), ( 1 , 2 , 3 )( 4 , 6 , 5 )( 7 ,11 , 9 )( 8 ,10 ,13 )(12 ,14 ,17 )15 ,18 ,22 )(16 ,24 ,20 )(19 ,26 ,21 )(23 ,29 ,25 )(27 ,34 ,32 )(28 ,33 ,36 )30 ,31 ,38 )(35 ,39 ,41 )(37 ,43 ,40 )(42 ,45 ,44 )(46 ,47 ,48 ), 2 , 3 )( 4 , 5 )( 7 , 8 )( 9 ,10 )(11 ,13 )(12 ,14 )(15 ,16 )(18 ,20 )(19 ,21 )(22 ,24 )23 ,25 )(27 ,28 )(30 ,31 )(32 ,33 )(34 ,36 )(35 ,37 )(39 ,40 )(41 ,43 )(44 ,45 )46 ,47 ) ];35 ]:=2 , 3 , 5 , 8 ,14 ,23 ,31 ,38 ,44 ,42 ,35 ,27 ,19 ,12 , 7 , 4 )( 6 , 9 ,15 ,10 )11 ,16 ,24 ,32 ,39 ,45 ,47 ,43 ,36 ,29 ,21 ,13 ,20 ,28 ,25 ,17 )(18 ,26 )(22 ,30 )34 ,40 ,37 ,41 ), ( 1 , 2 , 3 )( 4 , 6 , 5 )( 7 ,11 , 9 )( 8 ,10 ,13 )(12 ,18 ,16 )14 ,21 ,22 )(15 ,17 ,20 )(19 ,24 ,26 )(23 ,30 ,29 )(25 ,33 ,28 )(27 ,34 ,32 )31 ,36 ,37 )(35 ,38 ,40 )(39 ,41 ,43 )(42 ,46 ,44 )(45 ,47 ,48 ), 2 , 3 )( 4 , 5 )( 7 , 8 )( 9 ,10 )(11 ,13 )(12 ,14 )(16 ,21 )(17 ,20 )(18 ,22 )(19 ,23 )24 ,29 )(25 ,28 )(26 ,30 )(27 ,31 )(32 ,36 )(34 ,37 )(35 ,38 )(39 ,43 )(42 ,44 )45 ,47 ) ];36 ]:=1 , 6 ,22 ,10 )( 2 ,12 ,34 ,40 ,14 , 3 ,17 ,27 ,47 ,23 ,13 , 4 ,19 ,45 ,46 , 8 )5 ,11 ,28 ,26 ,31 ,20 ,30 ,24 ,36 ,38 ,33 ,21 , 7 ,42 ,16 ,37 )( 9 ,32 ,44 ,29 )15 ,18 ,39 ,41 )(25 ,35 ,48 ,43 ), ( 1 ,37 ,16 , 6 , 8 , 7 ,32 , 3 ,19 ,15 ,11 ,34 )2 ,35 , 4 ,17 ,25 ,12 ,28 , 9 ,42 , 5 ,18 ,21 )(10 ,40 ,46 ,22 ,23 ,33 ,39 ,20 ,36 ,29 ,26 ,47 )(13 ,48 ,24 ,30 ,43 ,27 ,31 ,41 ,45 ,14 ,44 ,38 ) ];37 ]:=1 , 36 ,121 , 80 , 6 , 60 ,144 ,168 , 51 , 31 ,134 ,142 , 87 , 95 ,166 ,129 , 84 , 15 ,130 , 49 , 40 )( 2 , 89 ,115 ,155 , 24 , 18 ,128 ,163 ,123 ,127 , 99 , 79 , 52 ,57 ,165 , 91 , 42 , 8 ,150 ,157 ,141 )( 3 , 43 ,118 ,161 , 13 , 63 ,147 ,167 ,86 , 98 ,131 ,156 ,124 , 28 ,154 ,104 , 27 , 5 , 72 ,148 , 54 )4 , 65 , 81 ,151 , 44 , 94 , 90 ,143 , 59 ,159 , 29 , 82 , 14 ,122 ,152 ,120 , 11 ,33 ,146 ,132 , 88 )( 7 , 9 , 20 , 78 , 73 , 23 , 26 ,114 ,113 ,102 , 96 , 50 ,103 ,160 ,158 ,153 ,108 , 56 , 48 , 93 , 69 )( 10 ,106 ,116 , 76 , 58 ,105 , 37 ,162 ,62 ,109 , 64 ,149 , 25 ,111 , 97 , 83 , 19 , 55 ,125 ,112 ,126 )12 , 21 ,107 , 38 , 53 , 30 , 85 ,117 ,164 , 67 ,140 ,135 ,101 ,138 ,137 , 47 , 35 ,92 , 66 , 77 , 17 )( 16 ,100 , 39 , 70 , 45 ,133 , 46 ,145 , 32 ,119 , 61 , 34 , 68 ,41 , 71 , 74 , 75 ,110 ,136 , 22 ,139 ), 1 , 87 , 92 , 88 , 82 ,109 )( 2 ,158 , 93 , 96 , 79 ,127 )( 3 ,151 , 72 , 61 ,142 ,145 )( 4 ,101 , 15 , 51 ,149 ,159 )( 5 ,123 ,107 ,139 , 50 , 83 )6 , 71 ,154 , 29 ,156 ,110 )( 7 ,103 , 56 , 24 , 42 ,165 )( 8 , 86 ,105 , 69 ,34 , 85 )( 9 , 76 , 20 , 52 ,135 ,141 )( 10 , 28 , 59 ,164 ,119 , 31 )11 ,152 , 77 ,134 ,129 , 58 )( 12 , 14 ,124 ,126 , 40 ,100 )( 13 , 70 ,130 , 16 ,167 , 33 )( 17 ,155 , 43 , 25 ,160 ,136 )( 18 , 66 , 57 ,113 , 55 ,102 )19 ,166 , 49 ,140 , 90 , 44 )( 21 , 75 ,121 ,162 ,147 ,120 )( 22 , 98 )23 , 78 ,150 ,115 ,163 ,114 )( 26 , 45 ,138 , 99 ,104 ,112 )( 27 , 68 )30 , 80 , 36 ,125 , 81 ,143 )( 32 ,137 ,132 , 63 , 37 , 95 )( 35 , 46 , 73 ,106 ,131 , 91 )( 38 ,122 ,146 ,116 ,168 , 60 )( 39 , 84 , 97 , 54 , 65 , 47 )41 , 48 , 62 ,161 , 89 , 67 )( 53 ,128 ,153 , 64 ,108 ,157 )( 74 ,117 , 94 ,148 ,111 ,144 )(118 ,133 ) ];38 ]:=1 , 94 , 18 ,125 , 8 ,119 ,120 ,115 , 14 ,107 , 56 , 49 )( 2 , 30 , 67 , 57 , 76 , 98 ,97 , 58 , 71 , 99 , 28 , 90 )( 3 , 65 , 63 ,112 , 48 , 17 ,129 , 38 , 42 , 78 , 43 ,116 )( 4 , 82 , 32 ,106 , 85 ,101 ,109 , 81 , 84 , 11 , 7 , 27 )5 , 96 , 92 , 50 , 26 , 22 ,114 , 89 , 24 ,132 , 73 ,104 )( 6 , 16 , 46 , 52 ,47 ,103 , 59 ,130 , 25 ,110 , 45 , 77 )( 9 ,105 , 23 , 41 , 40 , 72 ,123 , 31 ,79 , 95 , 68 , 21 )( 10 ,126 , 34 ,124 , 86 ,131 , 19 , 36 , 55 , 35 , 12 , 70 )13 , 69 ,111 ,127 , 75 , 66 , 74 , 33 , 61 , 39 , 80 ,100 )( 15 ,121 , 53 ,102 ,54 , 91 , 83 , 60 , 20 ,118 , 44 ,122 )( 29 , 51 ,128 ,117 , 87 , 62 , 37 , 88 ,64 , 93 ,113 ,108 ), ( 1 ,102 ,103 , 82 , 90 ,130 , 63 , 56 , 81 , 34 )2 ,117 , 17 , 47 , 62 ,124 , 40 , 83 ,107 ,123 )( 3 , 44 , 66 ,106 , 26 ,121 ,78 ,114 , 11 ,127 )( 4 , 50 , 98 , 76 , 74 ,109 ,111 , 55 , 36 , 89 )5 , 64 , 16 ,125 , 70 ,100 , 95 ,120 , 45 , 71 )( 6 , 91 , 31 , 10 , 87 ,119 ,48 , 37 , 99 , 72 )( 7 ,115 , 32 , 12 ,131 , 85 , 46 , 84 , 58 , 67 )8 , 20 ,110 ,126 , 27 , 77 , 38 , 18 , 28 ,101 )( 9 , 61 , 60 , 57 , 41 ,108 ,132 ,129 , 19 ,128 )( 13 ,113 , 79 , 97 , 54 , 96 , 21 , 88 , 35 ,112 )14 , 51 , 39 , 30 , 49 , 52 , 23 , 73 , 86 , 59 )( 15 , 24 , 69 ,122 , 94 ,116 ,33 , 92 , 43 , 25 )( 22 , 75 )( 29 , 93 , 65 ,104 ,118 ,105 , 68 , 53 , 80 , 42 ) 39 ]:=1 , 36 , 61 , 64 , 43 , 63 , 62 , 53 ,105 , 35 , 27 ,132 ,112 , 44 , 42 , 73 , 83 , 52 ,96 , 23 , 84 , 85 )( 2 ,117 , 99 , 18 , 65 , 51 , 50 ,122 , 57 , 6 ,124 ,130 ,60 , 19 ,102 , 97 , 90 , 88 , 13 , 39 ,126 , 24 )( 3 ,106 ,119 , 20 , 33 , 31 ,118 , 67 , 45 , 25 , 81 ,131 , 21 , 11 ,123 ,108 ,109 , 9 , 70 ,104 , 79 ,113 )4 , 56 , 86 , 32 ,121 ,114 , 74 ,100 ,120 , 69 , 91 ,128 , 40 , 68 , 76 , 14 , 22 ,75 , 41 , 10 , 72 , 30 )( 5 , 46 ,116 ,110 ,101 , 17 , 71 , 48 , 34 , 82 , 37 ,129 ,89 , 12 , 80 , 15 ,115 , 38 , 92 , 94 , 28 ,111 )( 7 , 16 , 29 , 87 ,107 , 77 ,127 ,78 , 93 , 54 , 55 ,125 ,103 , 98 , 66 , 47 , 26 , 8 , 58 , 59 , 95 , 49 ), 1 , 49 , 98 , 52 )( 2 , 89 , 96 , 79 )( 3 , 85 , 92 , 90 )( 4 , 94 ,128 , 34 )5 , 30 ,129 , 91 )( 6 ,119 , 70 ,122 )( 7 ,101 ,103 , 8 )( 9 , 24 , 95 , 68 )10 , 66 , 88 , 20 )( 11 , 67 , 13 ,126 )( 12 , 43 , 40 , 75 )( 14 , 72 , 44 , 38 )15 , 16 ,127 ,125 )( 17 ,113 ,110 , 22 )( 18 , 23 , 76 , 45 )( 19 , 21 , 41 , 84 )25 ,130 , 46 , 53 )( 26 , 63 ,109 , 37 )( 27 , 48 , 51 ,131 )( 28 , 33 ,112 , 58 )29 , 62 ,132 , 55 )( 31 ,111 , 77 , 83 )( 32 ,104 ,102 ,105 )( 35 , 99 ,106 ,100 )36 , 78 , 82 ,108 )( 39 , 42 , 57 , 64 )( 47 , 65 , 60 , 59 )( 50 ,123 ,120 , 87 )54 , 86 ,118 ,124 )( 56 , 74 ,116 , 73 )( 61 , 71 ,121 , 69 )( 80 ,114 ,115 , 81 )93 ,107 , 97 ,117 ) ];40 ]:=1 ,14 ,24 ,28 ,21 , 4 , 6 ,20 ,30 ,22 ,15 , 3 ,12 ,26 ,33 ,16 , 9 , 8 ,18 ,32 ,27 ,10 )( 2 , 5 )7 ,11 )(13 ,17 )(19 ,23 )(25 ,29 ), 1 ,23 ,15 ,11 ,27 , 2 ,30 ,13 ,18 ,25 , 6 ,29 , 9 ,17 ,21 , 5 ,33 , 7 ,24 ,19 ,12 ,31 )3 ,10 ,22 ,32 ,20 , 8 , 4 ,16 ,28 ,26 ,14 ) ];41 ]:=1 , 27 , 83 ,124 , 72 ,119 , 97 , 47 )( 2 , 28 , 84 ,111 , 65 , 22 , 44 , 48 )3 , 25 , 82 ,130 , 74 ,113 , 98 , 49 )( 4 , 26 , 64 , 24 , 46 , 96 , 99 , 50 )5 , 30 , 86 ,147 ,129 , 75 ,100 , 51 )( 6 , 29 , 85 , 73 ,118 ,166 ,101 , 52 )7 , 31 , 88 ,148 ,139 ,169 ,109 , 58 )( 8 , 32 , 87 ,149 ,168 ,102 , 56 , 12 )9 , 36 , 13 , 33 , 89 ,150 ,105 , 53 )( 10 , 37 , 95 ,155 ,200 ,170 ,106 , 54 )11 , 38 , 94 ,152 ,161 ,167 ,103 , 55 )( 14 , 34 , 90 ,151 ,201 ,173 ,110 , 60 )15 , 35 , 59 , 17 , 39 , 91 ,104 , 57 )( 16 , 18 , 40 , 21 , 43 , 63 , 23 , 45 )19 , 41 , 92 ,153 ,202 ,172 ,108 , 62 )( 20 , 42 , 93 ,154 ,203 ,171 ,107 , 61 )66 , 77 ,121 ,163 ,207 ,225 ,179 ,123 )( 67 ,112 ,174 ,218 ,194 ,143 ,132 , 79 )68 ,114 ,175 ,220 ,247 ,227 ,180 ,125 )( 69 ,115 ,176 ,183 ,128 , 71 ,117 ,126 )70 ,116 ,178 ,221 ,248 ,228 ,182 ,127 )( 76 ,120 ,177 ,219 ,226 ,181 ,131 , 78 )80 ,122 ,162 ,206 ,191 ,140 ,133 , 81 )(134 ,184 ,229 ,208 ,156 ,165 ,193 ,142 )135 ,185 ,209 ,158 ,157 ,204 ,189 ,137 )(136 ,159 ,146 ,188 ,231 ,234 ,195 ,145 )138 ,186 ,210 ,160 ,205 ,240 ,232 ,190 )(141 ,187 ,230 ,255 ,246 ,258 ,233 ,192 )164 ,198 ,235 ,260 ,252 ,264 ,241 ,211 )(196 ,212 )(197 ,213 ,239 ,262 ,253 ,263 ,261 ,237 )(199 ,236 ,259 ,257 ,265 ,242 ,214 ,238 )(215 ,243 ,266 ,269 ,251 ,222 ,249 ,244 )216 ,224 )(217 ,223 ,250 ,268 ,256 ,254 ,267 ,245 ), 1 , 4 , 5 )( 2 , 3 , 6 )( 7 , 15 , 9 )( 8 , 16 , 10 )( 11 , 13 , 17 )12 , 14 , 18 )( 19 , 22 , 23 )( 20 , 21 , 24 )( 25 , 48 , 66 )( 26 , 47 , 67 )27 , 51 , 68 )( 28 , 52 , 69 )( 29 , 49 , 70 )( 30 , 50 , 71 )( 31 , 53 , 73 )32 , 54 , 72 )( 33 , 55 , 75 )( 34 , 56 , 74 )( 35 , 58 , 80 )( 36 , 57 , 39 )37 , 45 , 65 )( 38 , 59 , 81 )( 40 , 60 , 46 )( 41 , 63 , 78 )( 42 , 64 , 79 )43 , 61 , 76 )( 44 , 62 , 77 )( 82 ,123 ,134 )( 83 ,125 ,135 )( 84 ,126 ,136 )85 ,127 , 88 )( 86 ,128 ,138 )( 87 ,124 ,137 )( 89 ,129 ,141 )( 90 ,130 ,142 )91 ,104 ,144 )( 92 ,131 ,139 )( 93 ,132 ,140 )( 94 ,133 ,143 )( 95 ,111 ,145 )96 ,110 ,146 )( 97 ,156 ,112 )( 98 ,158 ,116 )( 99 ,159 ,117 )(100 ,103 ,114 )101 ,160 ,115 )(102 ,157 ,113 )(105 ,164 ,118 )(106 ,165 ,119 )(107 ,161 ,120 )108 ,162 ,121 )(109 ,163 ,122 )(147 ,190 ,187 )(148 ,182 ,153 )(149 ,189 ,196 )150 ,192 ,198 )(151 ,193 ,170 )(152 ,194 ,177 )(154 ,191 ,197 )(155 ,195 ,199 )166 ,211 ,205 )(167 ,171 ,175 )(168 ,212 ,204 )(169 ,181 ,207 )(172 ,213 ,206 )173 ,214 ,188 )(174 ,208 ,215 )(176 ,210 ,216 )(178 ,209 ,217 )(179 ,222 ,184 )180 ,223 ,185 )(183 ,224 ,186 )(200 ,238 ,201 )(202 ,228 ,239 )(203 ,237 ,220 )218 ,244 ,219 )(221 ,245 ,246 )(225 ,226 ,249 )(227 ,252 ,250 )(229 ,251 ,243 )230 ,232 ,253 )(231 ,242 ,254 )(233 ,257 ,235 )(234 ,256 ,236 )(240 ,241 ,263 )247 ,261 ,264 )(248 ,255 ,262 )(258 ,267 ,265 )(259 ,268 ,260 )(266 ,269 ,270 ), 1 , 3 )( 2 , 4 )( 5 , 6 )( 7 , 11 )( 8 , 12 )( 9 , 13 )( 10 , 14 )( 15 , 17 )16 , 18 )( 19 , 20 )( 21 , 23 )( 22 , 24 )( 25 , 47 )( 26 , 48 )( 27 , 49 )( 28 , 50 )29 , 51 )( 30 , 52 )( 31 , 55 )( 32 , 56 )( 33 , 53 )( 34 , 54 )( 35 , 59 )( 37 , 60 )38 , 58 )( 39 , 57 )( 40 , 45 )( 41 , 61 )( 42 , 62 )( 43 , 63 )( 44 , 64 )( 46 , 65 )66 , 67 )( 68 , 70 )( 69 , 71 )( 72 , 74 )( 73 , 75 )( 76 , 78 )( 77 , 79 )( 80 , 81 )82 , 97 )( 83 , 98 )( 84 , 99 )( 85 ,100 )( 86 ,101 )( 87 ,102 )( 88 ,103 )( 89 ,105 )90 ,106 )( 91 ,104 )( 92 ,107 )( 93 ,108 )( 94 ,109 )( 95 ,110 )( 96 ,111 )(112 ,123 )113 ,124 )(114 ,127 )(115 ,128 )(116 ,125 )(117 ,126 )(118 ,129 )(119 ,130 )(120 ,131 )121 ,132 )(122 ,133 )(134 ,156 )(135 ,158 )(136 ,159 )(137 ,157 )(138 ,160 )(139 ,161 )140 ,162 )(141 ,164 )(142 ,165 )(143 ,163 )(145 ,146 )(147 ,166 )(148 ,167 )(149 ,168 )151 ,170 )(152 ,169 )(153 ,171 )(154 ,172 )(155 ,173 )(174 ,179 )(175 ,182 )(176 ,183 )177 ,181 )(178 ,180 )(184 ,208 )(185 ,209 )(186 ,210 )(187 ,211 )(188 ,195 )(189 ,204 )190 ,205 )(191 ,206 )(192 ,198 )(194 ,207 )(196 ,212 )(197 ,213 )(199 ,214 )(200 ,201 )202 ,203 )(215 ,222 )(216 ,224 )(217 ,223 )(218 ,225 )(219 ,226 )(220 ,228 )(221 ,227 )230 ,241 )(231 ,234 )(232 ,240 )(233 ,235 )(236 ,242 )(237 ,239 )(243 ,251 )(244 ,249 )245 ,250 )(246 ,252 )(247 ,248 )(253 ,263 )(254 ,256 )(255 ,264 )(258 ,260 )(259 ,265 )261 ,262 )(266 ,269 )(267 ,268 ) ];42 ]:=1 ,108 ,199 , 2 ,107 ,200 )( 3 , 8 ,190 , 4 , 7 ,189 )( 5 ,173 ,198 , 6 ,174 ,197 )9 , 28 ,141 , 10 , 27 ,142 )( 11 ,128 ,134 , 12 ,127 ,133 )( 13 ,168 , 23 , 14 ,167 ,24 )( 15 ,148 , 20 , 16 ,147 , 19 )( 17 ,165 , 21 , 18 ,166 , 22 )( 25 ,144 ,157 , 26 ,143 ,158 )( 29 ,139 , 92 , 30 ,140 , 91 )( 31 , 42 , 97 , 32 , 41 , 98 )33 , 37 , 99 , 34 , 38 ,100 )( 35 , 40 , 93 , 36 , 39 , 94 )( 43 ,115 ,170 , 44 ,116 ,169 )( 45 ,123 ,224 , 46 ,124 ,223 )( 47 ,125 ,226 , 48 ,126 ,225 )( 49 ,136 ,150 , 50 ,135 ,149 )( 51 , 96 ,151 , 52 , 95 ,152 )( 53 ,138 ,153 , 54 ,137 ,154 )55 , 76 ,187 , 56 , 75 ,188 )( 57 , 77 ,184 , 58 , 78 ,183 )( 59 , 73 ,185 , 60 , 74 ,186 )( 61 ,234 ,159 , 62 ,233 ,160 )( 63 ,217 ,250 , 64 ,218 ,249 )( 65 ,236 ,263 , 66 ,235 ,264 )( 67 , 70 , 71 , 68 , 69 , 72 )( 79 ,240 ,101 , 80 ,239 ,102 )81 ,254 ,103 , 82 ,253 ,104 )( 83 ,248 ,105 , 84 ,247 ,106 )( 85 ,192 ,179 , 86 ,191 ,180 )( 87 ,193 ,130 , 88 ,194 ,129 )( 89 ,196 ,181 , 90 ,195 ,182 )(109 ,260 ,131 ,110 ,259 ,132 )(111 ,261 ,119 ,112 ,262 ,120 )(113 ,146 ,212 ,114 ,145 ,211 )117 ,215 ,252 ,118 ,216 ,251 )(121 ,208 ,270 ,122 ,207 ,269 )(155 ,171 ,238 ,156 ,172 ,237 )(161 ,202 ,246 ,162 ,201 ,245 )(163 ,219 ,222 ,164 ,220 ,221 )(175 ,266 ,232 ,176 ,265 ,231 )(177 ,268 ,229 ,178 ,267 ,230 )(203 ,256 ,213 ,204 ,255 ,214 )205 ,243 ,258 ,206 ,244 ,257 )(209 ,228 ,241 ,210 ,227 ,242 ), 1 ,189 , 59 , 39 ,194 , 73 ,235 , 85 ,229 ,253 )( 2 ,190 , 60 , 40 ,193 , 74 ,236 , 86 ,230 ,254 )( 3 ,127 ,148 ,140 , 70 , 78 ,233 , 88 ,182 ,239 )( 4 ,128 ,147 ,139 , 69 ,77 ,234 , 87 ,181 ,240 )( 5 , 27 ,145 , 51 , 12 , 76 ,218 , 89 ,232 ,248 )6 , 28 ,146 , 52 , 11 , 75 ,217 , 90 ,231 ,247 )( 7 ,109 ,215 ,178 ,257 ,246 ,149 ,29 , 33 , 49 )( 8 ,110 ,216 ,177 ,258 ,245 ,150 , 30 , 34 , 50 )( 9 , 81 ,126 ,175 ,263 ,222 , 98 , 25 ,169 , 54 )( 10 , 82 ,125 ,176 ,264 ,221 , 97 , 26 ,170 , 53 )13 , 46 ,228 ,155 ,201 ,113 , 63 ,251 ,106 , 95 )( 14 , 45 ,227 ,156 ,202 ,114 , 64 ,252 ,105 , 96 )( 15 , 48 ,269 ,102 ,137 , 16 , 47 ,270 ,101 ,138 )( 17 , 44 ,268 , 24 ,204 ,185 ,117 ,261 ,103 ,136 )( 18 , 43 ,267 , 23 ,203 ,186 ,118 ,262 ,104 ,135 )19 ,243 ,184 ,122 ,259 ,131 ,197 , 57 , 38 ,196 )( 20 ,244 ,183 ,121 ,260 ,132 ,198 ,58 , 37 ,195 )( 21 ,241 ,188 ,120 ,199 , 55 , 42 ,191 ,211 ,265 )( 22 ,242 ,187 ,119 ,200 , 56 , 41 ,192 ,212 ,266 )( 31 ,174 ,108 ,111 ,207 ,210 ,255 ,153 ,151 , 36 )32 ,173 ,107 ,112 ,208 ,209 ,256 ,154 ,152 , 35 )( 61 ,226 ,161 , 92 , 80 ,123 ,206 ,160 ,220 , 99 )( 62 ,225 ,162 , 91 , 79 ,124 ,205 ,159 ,219 ,100 )( 65 ,250 ,163 , 93 ,172 ,223 ,214 ,157 , 84 ,115 )( 66 ,249 ,164 , 94 ,171 ,224 ,213 ,158 , 83 ,116 )67 ,180 ,238 ,133 ,129 ,167 ,141 , 72 ,165 ,143 )( 68 ,179 ,237 ,134 ,130 ,168 ,142 ,71 ,166 ,144 ) ];43 ]:=1 , 35 )( 3 , 13 )( 4 , 53 )( 5 , 99 )( 6 , 51 )( 7 ,109 )( 8 , 63 )( 9 , 62 )10 , 65 )( 11 , 54 )( 12 ,144 )( 14 ,134 )( 15 , 73 )( 16 , 55 )( 17 ,119 )( 18 ,130 )19 ,124 )( 20 ,127 )( 21 ,143 )( 22 , 44 )( 23 , 49 )( 24 , 61 )( 25 , 72 )( 26 , 38 )27 , 56 )( 28 ,115 )( 29 ,139 )( 30 , 64 )( 31 , 39 )( 32 ,121 )( 33 ,131 )( 34 ,133 )36 , 43 )( 37 , 90 )( 40 ,103 )( 41 , 52 )( 42 ,113 )( 45 , 57 )( 46 , 74 )( 47 , 58 )48 , 95 )( 50 , 79 )( 59 , 76 )( 60 , 98 )( 66 ,116 )( 67 ,106 )( 68 , 93 )( 69 ,110 )70 , 91 )( 71 ,114 )( 75 , 86 )( 77 ,142 )( 78 ,128 )( 80 ,138 )( 81 ,135 )( 82 ,111 )83 ,108 )( 84 ,123 )( 85 ,118 )( 87 ,107 )( 88 ,129 )( 89 ,140 )( 92 , 94 )( 96 ,136 )97 ,120 )(100 ,104 )(101 ,125 )(102 ,137 )(112 ,141 )(117 ,122 )(126 ,132 ), 1 , 81 , 93 , 48 ,144 ,127 , 15 , 14 , 55 , 84 ,118 , 73 , 57 , 64 , 5 , 10 ,135 ,121 ,71 , 44 )( 2 ,140 , 9 , 96 ,113 ,124 , 77 , 49 , 25 , 98 ,105 , 26 ,129 , 63 , 86 ,19 , 53 ,112 ,108 , 79 )( 3 , 82 , 30 , 88 , 52 ,143 , 70 , 16 , 23 ,131 ,132 , 91 ,95 , 62 ,104 , 28 ,111 ,114 ,141 , 67 )( 4 , 66 , 45 , 94 , 80 , 38 , 17 ,134 , 29 ,103 ,142 , 58 , 68 , 27 , 40 , 89 ,133 , 32 ,109 ,138 )( 6 , 61 ,137 , 87 )7 , 65 , 76 , 50 ,122 , 56 , 85 , 90 , 75 ,101 ,139 , 20 , 11 , 60 ,125 , 92 , 35 , 36 ,42 ,117 )( 8 , 12 , 31 , 69 , 41 , 72 , 22 , 39 , 97 ,106 ,136 , 99 ,128 , 46 ,100 , 83 ,123 , 78 ,130 , 33 )( 13 , 37 ,119 , 74 ,102 ,115 , 59 ,116 ,120 , 24 ,126 , 43 , 34 ,110 , 51 , 21 , 54 , 47 , 18 ,107 ) ];44 ]:=1 ,35 ,28 ,44 ,14 ,43 ,24 ,54 ,30 ,47 ,15 ,40 )( 2 ,56 ,32 ,51 ,13 ,39 ,23 ,34 ,25 ,41 ,16 ,46 )3 ,57 , 5 ,63 , 4 ,62 ,11 ,61 ,12 ,58 ,17 ,59 )( 6 ,33 ,29 ,48 ,10 ,37 ,21 ,55 ,27 ,45 ,20 ,49 7 ,53 ,26 ,42 , 9 ,52 ,22 ,36 ,31 ,50 ,19 ,38 )( 8 ,60 ,18 ,64 )(65 ,77 ,94 ,66 ,78 ,89 )67 ,68 ,76 )(69 ,75 ,81 )(70 ,73 ,91 ,71 ,74 ,95 )(79 ,96 ,88 ,80 ,92 ,87 )83 ,93 ,86 ,84 ,90 ,85 ), ( 1 ,41 ,65 )( 2 ,48 ,85 )( 3 ,34 ,95 )( 4 ,53 ,92 )( 5 ,35 ,89 )6 ,44 ,71 )( 7 ,50 ,87 )( 8 ,55 ,93 )( 9 ,52 ,82 )(10 ,46 ,68 )(11 ,56 ,90 )(12 ,54 ,96 )13 ,43 ,69 )(14 ,49 ,75 )(15 ,37 ,67 )(16 ,40 ,76 )(17 ,36 ,94 )(18 ,33 ,91 )(19 ,38 ,72 )20 ,39 ,81 )(21 ,47 ,86 )(22 ,42 ,66 )(23 ,45 ,70 )(24 ,51 ,88 )(25 ,59 ,77 )(26 ,63 ,78 )27 ,64 ,73 )(28 ,57 ,74 )(29 ,60 ,83 )(30 ,61 ,84 )(31 ,58 ,79 )(32 ,62 ,80 ), 1 ,41 )( 2 ,47 )( 3 ,57 )( 4 ,58 )( 5 ,59 )( 6 ,45 )( 7 ,50 )( 8 ,60 )( 9 ,52 )(10 ,37 )11 ,61 )(12 ,62 )(13 ,43 )(14 ,39 )(15 ,46 )(16 ,40 )(17 ,63 )(18 ,64 )(19 ,38 )(20 ,49 )21 ,48 )(22 ,42 )(23 ,44 )(24 ,51 )(25 ,35 )(26 ,36 )(27 ,33 )(28 ,34 )(29 ,55 )(30 ,56 )31 ,53 )(32 ,54 )(67 ,68 )(70 ,71 )(73 ,91 )(74 ,95 )(75 ,81 )(77 ,89 )(78 ,94 )(79 ,92 )80 ,96 )(83 ,93 )(84 ,90 )(85 ,86 ) ];45 ]:=1 ,34 ,58 ,43 ,28 ,10 , 7 )( 2 ,35 ,59 ,44 ,29 ,11 , 8 )( 3 ,36 ,60 ,45 ,30 ,12 , 9 )4 ,46 ,57 ,49 ,37 ,19 ,32 ,14 ,23 ,62 ,53 ,41 ,26 ,16 )( 5 ,47 ,55 ,50 ,38 ,20 ,33 ,15 ,24 ,63 ,54 ,42 ,27 ,17 )( 6 ,48 ,56 ,51 ,39 ,21 ,31 ,13 ,22 ,61 ,52 ,40 ,25 ,18 )(64 ,67 )(65 ,68 )66 ,69 ), ( 1 ,13 , 4 )( 2 ,14 , 5 )( 3 ,15 , 6 )( 7 ,40 ,22 )( 8 ,41 ,23 )( 9 ,42 ,24 )10 ,19 ,25 )(11 ,20 ,26 )(12 ,21 ,27 )(16 ,38 ,34 )(17 ,39 ,35 )(18 ,37 ,36 )(28 ,47 ,32 )29 ,48 ,33 )(30 ,46 ,31 )(43 ,64 ,55 )(44 ,65 ,56 )(45 ,66 ,57 )(49 ,69 ,60 )(50 ,67 ,58 )51 ,68 ,59 )(52 ,70 ,61 )(53 ,71 ,62 )(54 ,72 ,63 ), 1 ,10 )( 2 ,11 )( 3 ,12 )( 4 ,19 )( 5 ,20 )( 6 ,21 )(13 ,25 )(14 ,26 )(15 ,27 )(16 ,32 )17 ,33 )(18 ,31 )(22 ,40 )(23 ,41 )(24 ,42 )(28 ,34 )(29 ,35 )(30 ,36 )(37 ,46 )(38 ,47 )39 ,48 )(43 ,58 )(44 ,59 )(45 ,60 )(49 ,57 )(50 ,55 )(51 ,56 )(52 ,61 )(53 ,62 )(54 ,63 )64 ,67 )(65 ,68 )(66 ,69 ) ];46 ]:=1 ,17 ,58 ,46 ,81 ,78 ,66 ,82 ,68 ,19 ,22 , 9 , 6 ,26 )( 2 ,18 ,59 ,47 ,79 ,76 ,64 ,83 ,69 ,20 ,23 , 7 , 4 ,27 )( 3 ,16 ,60 ,48 ,80 ,77 ,65 ,84 ,67 ,21 ,24 , 8 , 5 ,25 )(10 ,56 ,74 ,40 ,53 ,30 ,33 ,70 ,35 ,14 ,43 ,37 ,63 ,51 )(11 ,57 ,75 ,41 ,54 ,28 ,31 ,71 ,36 ,15 ,44 ,38 ,61 ,49 )12 ,55 ,73 ,42 ,52 ,29 ,32 ,72 ,34 ,13 ,45 ,39 ,62 ,50 ), 1 ,53 ,33 ,71 ,29 ,36 ,16 ,82 ,37 ,51 ,11 ,62 ,57 ,67 )( 2 ,54 ,31 ,72 ,30 ,34 ,17 ,83 ,38 ,49 ,12 ,63 ,55 ,68 )( 3 ,52 ,32 ,70 ,28 ,35 ,18 ,84 ,39 ,50 ,10 ,61 ,56 ,69 )( 4 ,22 , 8 ,25 ,44 ,74 ,58 ,76 ,46 ,80 ,65 ,41 ,14 ,19 )( 5 ,23 , 9 ,26 ,45 ,75 ,59 ,77 ,47 ,81 ,66 ,42 ,15 ,20 )6 ,24 , 7 ,27 ,43 ,73 ,60 ,78 ,48 ,79 ,64 ,40 ,13 ,21 ) ];47 ]:=1 ,130 ,223 ,237 ,123 , 81 )( 2 ,129 ,224 ,238 ,124 , 82 )( 3 , 46 ,139 ,221 ,250 ,109 )4 , 45 ,140 ,222 ,249 ,110 )( 5 , 76 , 55 ,137 ,234 ,236 )( 6 , 75 , 56 ,138 ,233 ,235 )( 7 ,198 ,240 ,111 , 96 , 52 )( 8 ,197 ,239 ,112 , 95 , 51 )( 9 ,212 ,284 ,269 ,196 ,256 )( 10 ,211 ,283 ,270 ,195 ,255 )( 11 ,207 ,164 ,271 ,306 ,258 )12 ,208 ,163 ,272 ,305 ,257 )( 13 ,205 ,265 ,275 ,263 , 20 )( 14 ,206 ,266 ,276 ,264 ,19 )( 15 ,199 ,114 , 84 , 65 ,135 )( 16 ,200 ,113 , 83 , 66 ,136 )( 17 ,103 , 86 , 54 ,149 ,219 )( 18 ,104 , 85 , 53 ,150 ,220 )( 21 ,215 ,253 )( 22 ,216 ,254 )23 ,204 ,286 ,251 , 34 ,201 )( 24 ,203 ,285 ,252 , 33 ,202 )( 25 ,153 ,281 ,274 ,299 ,182 )( 26 ,154 ,282 ,273 ,300 ,181 )( 27 ,175 ,278 ,162 ,303 ,261 )( 28 ,176 ,277 ,161 ,304 ,262 )( 29 ,213 ,279 ,183 ,293 ,160 )( 30 ,214 ,280 ,184 ,294 ,159 )31 ,210 ,185 ,267 ,174 ,259 )( 32 ,209 ,186 ,268 ,173 ,260 )( 35 , 40 ,132 ,218 ,108 ,67 )( 36 , 39 ,131 ,217 ,107 , 68 )( 37 , 70 , 48 ,134 ,106 , 80 )( 38 , 69 , 47 ,133 ,105 , 79 )( 41 ,145 ,232 ,243 ,101 , 88 )( 42 ,146 ,231 ,244 ,102 , 87 )43 ,142 ,156 ,245 ,121 , 90 )( 44 ,141 ,155 ,246 ,122 , 89 )( 49 , 97 , 77 )50 , 98 , 78 )( 57 ,126 ,230 ,247 ,117 , 74 )( 58 ,125 ,229 ,248 ,118 , 73 )59 ,128 ,225 ,157 ,119 , 94 )( 60 ,127 ,226 ,158 ,120 , 93 )( 61 ,148 ,227 ,179 ,116 ,71 )( 62 ,147 ,228 ,180 ,115 , 72 )( 63 ,144 ,178 ,242 ,100 , 92 )( 64 ,143 ,177 ,241 ,99 , 91 )(151 ,289 ,171 ,295 ,193 ,287 )(152 ,290 ,172 ,296 ,194 ,288 )165 ,169 ,302 ,297 ,189 ,188 )(166 ,170 ,301 ,298 ,190 ,187 )(167 ,191 ,291 )168 ,192 ,292 ), ( 1 ,260 ,116 ,238 )( 2 ,259 ,115 ,237 )( 3 ,181 ,292 ,275 )4 ,182 ,291 ,276 )( 5 ,235 , 58 ,271 )( 6 ,236 , 57 ,272 )( 7 ,135 ,142 ,137 )8 ,136 ,141 ,138 )( 9 ,202 ,287 ,221 )( 10 ,201 ,288 ,222 )( 11 ,261 ,294 , 84 )12 ,262 ,293 , 83 )( 13 ,257 ,225 ,162 )( 14 ,258 ,226 ,161 )( 15 ,160 ,208 ,269 )16 ,159 ,207 ,270 )( 17 , 52 ,289 ,111 )( 18 , 51 ,290 ,112 )( 19 ,256 ,267 , 21 )20 ,255 ,268 , 22 )( 23 ,254 ,278 ,266 )( 24 ,253 ,277 ,265 )( 25 ,252 , 26 ,251 )27 ,220 ,165 ,203 )( 28 ,219 ,166 ,204 )( 29 ,109 ,241 , 54 )( 30 ,110 ,242 , 53 )31 ,263 , 87 ,183 )( 32 ,264 , 88 ,184 )( 33 , 81 ,187 ,274 )( 34 , 82 ,188 ,273 )35 ,192 ,122 ,249 )( 36 ,191 ,121 ,250 )( 37 ,246 , 38 ,245 )( 39 ,145 , 98 ,134 )40 ,146 , 97 ,133 )( 41 ,212 ,118 ,218 )( 42 ,211 ,117 ,217 )( 43 ,301 ,123 , 79 )44 ,302 ,124 , 80 )( 45 ,296 ,105 ,157 )( 46 ,295 ,106 ,158 )( 47 ,169 ,103 ,243 )48 ,170 ,104 ,244 )( 49 , 61 ,119 ,107 )( 50 , 62 ,120 ,108 )( 55 ,281 ,114 ,239 )56 ,282 ,113 ,240 )( 59 ,229 ,100 ,199 )( 60 ,230 , 99 ,200 )( 63 ,304 , 67 ,179 )64 ,303 , 68 ,180 )( 65 , 91 ,101 ,247 )( 66 , 92 ,102 ,248 )( 69 ,127 ,148 ,150 )70 ,128 ,147 ,149 )( 71 ,175 ,298 ,234 )( 72 ,176 ,297 ,233 )( 73 ,193 ,306 , 95 )74 ,194 ,305 , 96 )( 75 ,189 ,231 ,173 )( 76 ,190 ,232 ,174 )( 77 ,151 ,213 ,300 )78 ,152 ,214 ,299 )( 85 ,186 ,284 ,286 )( 86 ,185 ,283 ,285 )( 89 ,178 ,172 ,215 )90 ,177 ,171 ,216 )( 93 ,196 , 94 ,195 )(125 ,130 ,143 ,131 )(126 ,129 ,144 ,132 )153 ,209 ,227 ,155 )(154 ,210 ,228 ,156 )(163 ,206 ,280 ,223 )(164 ,205 ,279 ,224 )167 ,198 ,168 ,197 ) ];48 ]:=1 ,148 , 91 )( 2 ,147 , 92 )( 3 , 63 ,146 )( 4 , 64 ,145 )( 5 ,213 ,259 )6 ,214 ,260 )( 7 , 93 , 61 )( 8 , 94 , 62 )( 9 ,232 ,282 )( 10 ,231 ,281 )11 ,305 ,246 )( 12 ,306 ,245 )( 13 ,261 ,120 )( 14 ,262 ,119 )( 15 ,283 ,170 )16 ,284 ,169 )( 17 ,194 ,303 )( 18 ,193 ,304 )( 19 ,122 ,211 )( 20 ,121 ,212 )21 ,298 ,289 )( 22 ,297 ,290 )( 23 ,171 ,230 )( 24 ,172 ,229 )( 25 ,274 ,295 )26 ,273 ,296 )( 27 ,291 ,271 )( 28 ,292 ,272 )( 29 , 31 ,302 )( 30 , 32 ,301 )33 ,247 ,191 )( 34 ,248 ,192 )( 35 , 39 , 70 )( 36 , 40 , 69 )( 37 ,129 , 82 )38 ,130 , 81 )( 41 ,131 , 86 )( 42 ,132 , 85 )( 43 ,150 , 79 )( 44 ,149 , 80 )45 ,136 , 68 )( 46 ,135 , 67 )( 47 ,140 , 72 )( 48 ,139 , 71 )( 49 ,128 , 95 )50 ,127 , 96 )( 51 , 98 , 75 )( 52 , 97 , 76 )( 53 ,143 , 87 )( 54 ,144 , 88 )55 ,125 , 77 )( 56 ,126 , 78 )( 57 ,138 , 90 )( 58 ,137 , 89 )( 59 ,141 , 84 )60 ,142 , 83 )( 65 ,134 , 73 )( 66 ,133 , 74 )( 99 ,197 ,253 )(100 ,198 ,254 )101 ,216 ,235 )(102 ,215 ,236 )(103 ,202 ,110 )(104 ,201 ,109 )(105 ,206 ,160 )106 ,205 ,159 )(107 ,175 ,264 )(108 ,176 ,263 )(111 ,209 ,256 )(112 ,210 ,255 )113 ,154 ,219 )(114 ,153 ,220 )(115 ,204 ,257 )(116 ,203 ,258 )(117 ,207 ,251 )118 ,208 ,252 )(123 ,200 ,181 )(124 ,199 ,182 )(151 ,234 ,239 )(152 ,233 ,240 )155 ,224 ,164 )(156 ,223 ,163 )(157 ,177 ,286 )(158 ,178 ,285 )(161 ,227 ,278 )162 ,228 ,277 )(165 ,222 ,279 )(166 ,221 ,280 )(167 ,225 ,266 )(168 ,226 ,265 )173 ,218 ,185 )(174 ,217 ,186 )(179 ,196 ,249 )(180 ,195 ,250 )(183 ,299 ,241 )184 ,300 ,242 )(187 ,276 ,244 )(188 ,275 ,243 )(189 ,293 ,238 )(190 ,294 ,237 )267 ,269 ,288 )(268 ,270 ,287 ), ( 1 ,179 )( 2 ,180 )( 3 ,236 )( 4 ,235 )( 5 ,243 )6 ,244 )( 7 ,249 )( 8 ,250 )( 9 ,237 )( 10 ,238 )( 11 , 49 )( 12 , 50 )( 13 ,217 )14 ,218 )( 15 ,200 )( 16 ,199 )( 19 , 80 )( 20 , 79 )( 21 ,157 )( 22 ,158 )( 23 ,248 )24 ,247 )( 25 ,246 )( 26 ,245 )( 27 ,107 )( 28 ,108 )( 29 ,242 )( 30 ,241 )( 31 ,239 )32 ,240 )( 33 ,134 )( 34 ,133 )( 35 ,181 )( 36 ,182 )( 37 ,189 )( 38 ,190 )( 39 ,195 )40 ,196 )( 41 ,184 )( 42 ,183 )( 45 ,177 )( 46 ,178 )( 47 ,176 )( 48 ,175 )( 51 , 73 )52 , 74 )( 53 ,152 )( 54 ,151 )( 55 ,194 )( 56 ,193 )( 57 ,192 )( 58 ,191 )( 59 ,101 )60 ,102 )( 61 ,187 )( 62 ,188 )( 63 ,185 )( 64 ,186 )( 65 ,127 )( 66 ,128 )( 67 ,257 )68 ,258 )( 69 ,263 )( 70 ,264 )( 71 ,252 )( 72 ,251 )( 75 ,220 )( 76 ,219 )( 77 ,201 )78 ,202 )( 83 ,160 )( 84 ,159 )( 85 ,262 )( 86 ,261 )( 87 ,260 )( 88 ,259 )( 89 ,109 )90 ,110 )( 91 ,255 )( 92 ,256 )( 93 ,253 )( 94 ,254 )( 95 ,135 )( 96 ,136 )( 97 ,299 )98 ,300 )( 99 ,269 )(100 ,270 )(103 ,228 )(104 ,227 )(105 ,209 )(106 ,210 )(111 ,168 )112 ,167 )(113 ,298 )(114 ,297 )(115 ,296 )(116 ,295 )(119 ,288 )(120 ,287 )(121 ,280 )122 ,279 )(123 ,143 )(124 ,144 )(125 ,275 )(126 ,276 )(129 ,234 )(130 ,233 )(131 ,215 )132 ,216 )(137 ,174 )(138 ,173 )(139 ,305 )(140 ,306 )(141 ,303 )(142 ,304 )(145 ,294 )146 ,293 )(147 ,286 )(148 ,285 )(153 ,221 )(154 ,222 )(155 ,204 )(156 ,203 )(163 ,273 )164 ,274 )(165 ,271 )(166 ,272 )(169 ,268 )(170 ,267 )(171 ,266 )(172 ,265 )(205 ,232 )206 ,231 )(207 ,230 )(208 ,229 )(211 ,225 )(212 ,226 )(213 ,223 )(214 ,224 )(277 ,302 )278 ,301 )(281 ,291 )(282 ,292 ) ];49 ]:=1 , 7 ,26 , 9 , 2 ,32 )( 3 ,33 ,23 ,16 ,24 ,31 )( 4 ,36 ,29 ,10 ,30 ,35 )( 5 ,34 , 6 ,13 ,20 ,15 8 ,27 ,17 ,22 ,18 ,25 )(11 ,28 ,12 ,19 ,14 ,21 ), 1 ,34 ,30 , 4 ,15 ,26 ,18 ,16 ,27 ,14 , 6 ,28 ,36 , 3 , 9 ,32 ,24 ,10 ,21 ,20 ,12 ,22 ,33 , 8 )2 ,25 )( 5 ,31 )( 7 ,19 )(11 ,35 )(17 ,29 ) ];50 ]:=1 , 21 , 36 , 29 )( 2 , 22 , 35 , 30 )( 3 , 4 )( 5 , 72 , 37 , 40 )6 , 71 , 38 , 39 )( 7 , 48 , 33 , 20 )( 8 , 47 , 34 , 19 )( 9 , 52 , 81 , 23 )10 , 51 , 82 , 24 )( 11 , 97 ,110 , 85 )( 12 , 98 ,109 , 86 )( 13 , 99 , 87 , 25 )14 ,100 , 88 , 26 )( 15 , 76 , 70 , 93 )( 16 , 75 , 69 , 94 )( 17 , 77 , 41 , 46 )18 , 78 , 42 , 45 )( 27 ,102 , 32 , 89 )( 28 ,101 , 31 , 90 )( 43 , 95 ,104 , 68 )44 , 96 ,103 , 67 )( 49 , 55 , 73 , 65 )( 50 , 56 , 74 , 66 )( 53 , 57 , 54 , 58 )59 , 79 , 83 ,108 )( 60 , 80 , 84 ,107 )( 61 , 64 , 62 , 63 )( 91 ,106 , 92 ,105 ), 1 , 56 , 57 , 46 )( 2 , 55 , 58 , 45 )( 3 , 28 , 82 , 96 )( 4 , 27 , 81 , 95 )5 , 73 , 92 , 14 )( 6 , 74 , 91 , 13 )( 7 , 87 , 9 ,100 )( 8 , 88 , 10 , 99 )11 , 89 , 12 , 90 )( 15 , 62 , 19 , 84 )( 16 , 61 , 20 , 83 )( 17 , 72 , 18 , 71 )21 , 75 , 67 , 40 )( 22 , 76 , 68 , 39 )( 23 , 86 , 49 , 52 )( 24 , 85 , 50 , 51 )25 , 64 , 98 , 78 )( 26 , 63 , 97 , 77 )( 29 ,107 , 48 ,105 )( 30 ,108 , 47 ,106 )31 , 36 , 69 , 42 )( 32 , 35 , 70 , 41 )( 37 , 54 ,109 , 93 )( 38 , 53 ,110 , 94 )43 , 79 , 60 ,102 )( 44 , 80 , 59 ,101 )( 65 ,104 , 66 ,103 ) ];51 ]:=1 , 41 ,106 , 18 , 32 , 59 , 57 , 68 , 75 , 89 , 80 , 66 )( 2 , 47 ,100 ,109 , 95 , 21 ,38 , 63 , 20 , 23 , 48 , 83 )( 3 , 11 , 25 , 39 , 93 , 98 , 81 , 56 , 77 , 54 ,101 , 71 4 , 44 ,105 , 13 , 34 , 61 , 58 , 69 , 76 , 88 , 79 , 65 )( 5 , 16 , 42 ,108 , 72 ,94 ,103 , 17 , 26 , 37 , 6 , 40 )( 7 , 12 , 43 ,107 , 74 , 92 ,104 , 15 , 27 , 35 ,10 , 36 )( 8 , 46 , 99 ,110 , 97 , 19 , 33 , 60 , 24 , 22 , 45 , 85 )9 , 14 , 28 , 31 , 91 , 96 , 82 , 55 , 78 , 52 ,102 , 73 )( 29 , 49 , 67 , 84 , 64 ,90 , 30 , 50 , 70 , 86 , 62 , 87 ), ( 1 , 87 , 68 , 80 , 27 , 45 , 31 , 85 , 74 , 89 )2 ,104 , 23 , 61 , 24 , 82 , 52 , 9 , 46 ,105 )( 3 , 47 ,106 , 8 ,103 , 22 , 59 ,20 , 81 , 54 )( 4 , 90 , 69 , 79 , 26 , 48 , 39 , 83 , 72 , 88 )( 5 , 98 , 30 , 19 ,76 , 51 , 65 , 97 , 64 , 11 )( 6 , 16 ,100 , 84 , 77 ,102 , 49 , 60 , 36 , 43 )7 , 96 , 29 , 21 , 75 , 53 , 66 , 95 , 62 , 14 )( 10 , 12 , 99 , 86 , 78 ,101 , 50 ,63 , 40 , 42 )( 13 , 56 , 73 , 32 , 67 )( 15 , 94 , 44 , 25 ,108 ,110 , 38 , 35 , 91 ,57 )( 17 , 92 , 41 , 28 ,107 ,109 , 33 , 37 , 93 , 58 )( 18 , 55 , 71 , 34 , 70 ) ];52 ]:=1 ,107 , 47 ,127 , 8 ,110 , 41 ,125 )( 2 ,112 , 43 ,123 , 3 ,109 , 42 ,126 )4 ,106 , 46 ,122 , 5 ,111 , 44 ,124 )( 6 ,108 , 48 ,128 , 7 ,105 , 45 ,121 )9 , 36 , 33 , 15 )( 10 , 30 , 38 , 28 , 13 , 25 , 34 , 31 )( 11 , 53 , 35 , 56 , 16 ,49 , 39 , 52 )( 12 , 14 , 40 , 37 )( 17 ,103 , 23 ,101 , 20 ,102 , 18 ,100 )19 , 97 , 24 , 98 , 22 ,104 , 21 , 99 )( 26 , 29 )( 27 , 55 , 32 , 51 )57 ,117 , 58 ,118 , 63 ,119 , 59 ,115 )( 60 ,116 , 64 ,120 , 62 ,114 , 61 ,113 )65 , 66 , 78 , 80 , 85 , 88 , 93 , 94 )( 67 , 95 , 73 , 72 , 86 , 79 , 91 , 84 )68 , 81 , 75 , 96 , 87 , 71 , 92 , 77 )( 69 , 70 , 74 , 76 , 82 , 83 , 90 , 89 )129 ,264 ,196 ,294 ,246 ,373 ,166 ,337 )(130 ,319 ,198 ,292 ,237 ,369 ,154 ,351 )131 ,276 ,199 ,289 ,252 ,376 ,179 ,330 )(132 ,298 ,193 ,295 ,225 ,372 ,138 ,326 )133 ,260 ,200 ,290 ,241 ,370 ,162 ,342 )(134 ,316 ,194 ,296 ,233 ,374 ,157 ,348 )135 ,280 ,195 ,293 ,255 ,371 ,183 ,334 )(136 ,301 ,197 ,291 ,229 ,375 ,141 ,322 )137 ,321 ,148 ,300 ,205 ,310 ,230 ,366 )(139 ,323 ,170 ,304 ,212 ,272 ,228 ,354 )140 ,328 ,188 ,302 ,222 ,283 ,231 ,382 )(142 ,325 ,152 ,303 ,201 ,306 ,226 ,362 )143 ,324 ,191 ,297 ,217 ,288 ,227 ,377 )(144 ,327 ,173 ,299 ,215 ,267 ,232 ,358 )145 ,259 ,208 ,311 ,247 ,363 ,168 ,340 )(146 ,317 ,202 ,305 ,234 ,361 ,153 ,350 )147 ,279 ,203 ,308 ,249 ,368 ,177 ,333 )(149 ,263 ,204 ,307 ,244 ,367 ,164 ,343 )150 ,314 ,206 ,309 ,238 ,365 ,158 ,345 )(151 ,275 ,207 ,312 ,254 ,364 ,181 ,329 )155 ,346 ,169 ,313 ,209 ,265 ,240 ,357 )(156 ,347 ,187 ,315 ,223 ,286 ,235 ,383 )159 ,352 ,192 ,320 ,220 ,281 ,239 ,380 )(160 ,349 ,174 ,318 ,214 ,270 ,236 ,353 )161 ,338 ,185 ,262 ,219 ,285 ,242 ,384 )(163 ,339 ,171 ,257 ,213 ,266 ,243 ,355 )165 ,341 ,190 ,258 ,224 ,282 ,245 ,379 )(167 ,344 ,176 ,261 ,210 ,269 ,248 ,359 )172 ,277 ,216 ,271 ,253 ,360 ,182 ,331 )(175 ,273 ,211 ,268 ,250 ,356 ,178 ,335 )180 ,332 ,189 ,278 ,221 ,287 ,251 ,378 )(184 ,336 ,186 ,274 ,218 ,284 ,256 ,381 ), 1 ,375 , 80 ,286 ,117 ,297 , 30 ,338 )( 2 ,362 , 75 ,296 ,111 ,304 , 9 ,342 )3 ,382 , 78 ,270 ,128 ,301 , 36 ,339 )( 4 ,354 , 73 ,305 ,103 ,300 , 49 ,343 )5 ,372 , 76 ,281 ,114 ,302 , 25 ,341 )( 6 ,366 , 79 ,292 ,107 ,299 , 14 ,337 )7 ,377 , 74 ,265 ,123 ,298 , 40 ,344 )( 8 ,358 , 77 ,309 , 99 ,303 , 53 ,340 )10 ,348 , 59 ,361 , 67 ,294 ,109 ,313 )( 11 ,330 , 22 ,368 , 88 ,291 ,108 ,273 )12 ,326 , 46 ,367 , 93 ,289 ,106 ,261 )( 13 ,351 , 64 ,365 , 71 ,290 ,105 ,318 )15 ,322 , 41 ,363 , 90 ,293 ,110 ,257 )( 16 ,334 , 18 ,364 , 83 ,295 ,112 ,277 )17 ,371 , 82 ,288 ,115 ,278 , 27 ,336 )( 19 ,378 , 86 ,272 ,122 ,276 , 39 ,331 )20 ,356 , 87 ,306 ,104 ,275 , 54 ,329 )( 21 ,376 , 85 ,283 ,120 ,274 , 32 ,332 )23 ,381 , 81 ,267 ,125 ,280 , 35 ,335 )( 24 ,360 , 84 ,310 ,100 ,279 , 50 ,333 )26 ,347 , 57 ,374 , 68 ,282 ,118 ,315 )( 28 ,324 , 48 ,373 , 91 ,287 ,119 ,258 )29 ,352 , 62 ,369 , 72 ,285 ,113 ,320 )( 31 ,328 , 43 ,370 , 96 ,284 ,116 ,262 )33 ,323 , 44 ,379 , 92 ,268 ,121 ,260 )( 34 ,349 , 61 ,380 , 70 ,269 ,124 ,316 )37 ,327 , 47 ,384 , 95 ,271 ,126 ,264 )( 38 ,346 , 58 ,383 , 66 ,266 ,127 ,319 )42 ,355 , 94 ,308 ,102 ,263 , 56 ,325 )( 45 ,359 , 89 ,312 , 98 ,259 , 52 ,321 )51 ,345 , 60 ,353 , 65 ,307 ,101 ,317 )( 55 ,350 , 63 ,357 , 69 ,311 , 97 ,314 )129 ,166 ,247 ,218 ,187 ,158 ,255 ,196 )(130 ,154 ,249 ,219 ,185 ,168 ,246 ,195 )131 ,183 ,238 ,217 ,191 ,142 ,229 ,194 )(132 ,141 ,226 ,220 ,189 ,177 ,237 ,193 )133 ,162 ,244 ,221 ,192 ,153 ,252 ,200 )(134 ,157 ,254 ,224 ,190 ,164 ,241 ,199 )135 ,179 ,234 ,222 ,188 ,137 ,225 ,198 )(136 ,138 ,230 ,223 ,186 ,181 ,233 ,197 )139 ,227 ,206 ,151 ,184 ,240 ,212 ,173 )(140 ,232 ,214 ,172 ,178 ,239 ,201 ,148 )143 ,228 ,209 ,175 ,182 ,235 ,205 ,152 )(144 ,231 ,202 ,147 ,180 ,236 ,215 ,170 )145 ,161 ,248 ,216 ,174 ,160 ,251 ,204 )(146 ,159 ,250 ,213 ,176 ,167 ,242 ,203 )149 ,165 ,243 ,211 ,169 ,155 ,256 ,208 )(150 ,156 ,253 ,210 ,171 ,163 ,245 ,207 ) ];53 ]:=1 ,119 , 21 , 29 ,114 , 9 )( 2 , 94 , 24 , 38 , 97 , 55 )( 3 , 80 , 22 , 35 , 73 , 16 )4 , 92 , 23 , 28 ,103 , 50 )( 5 ,113 , 52 , 27 ,120 , 41 )( 6 , 96 , 14 , 36 , 99 ,44 )( 7 , 74 , 53 , 37 , 79 , 42 )( 8 , 90 , 11 , 30 ,101 , 43 )( 10 , 34 , 93 , 46 ,61 , 98 )( 12 , 60 ,116 , 20 , 33 ,117 )( 13 , 58 , 75 , 19 , 31 , 78 )15 , 32 , 91 , 45 , 63 ,104 )( 17 , 26 , 89 , 54 , 59 ,102 )( 18 , 40 , 95 , 51 , 57 ,100 )( 25 , 76 , 47 , 62 , 77 , 56 )( 39 ,115 , 48 , 64 ,118 , 49 )( 65 ,144 ,172 ,122 ,192 ,162 )( 66 ,184 ,171 ,121 ,129 ,156 )( 67 ,191 ,170 ,124 ,138 ,159 )68 ,130 ,169 ,123 ,178 ,165 )( 69 ,190 ,145 ,126 ,181 ,155 )( 70 ,131 ,146 ,125 ,141 ,161 )( 71 ,179 ,147 ,128 ,189 ,166 )( 72 ,139 ,148 ,127 ,132 ,160 )( 81 ,135 ,174 , 87 ,183 ,168 )( 82 ,133 ,157 , 88 ,142 ,151 )( 83 ,134 ,149 , 85 ,140 ,164 )84 ,136 ,153 , 86 ,177 ,176 )(105 ,182 ,152 ,111 ,188 ,167 )(106 ,143 ,158 ,112 ,186 ,173 )(107 ,137 ,175 ,109 ,185 ,163 )(108 ,180 ,154 ,110 ,187 ,150 ), 1 ,125 ,172 , 78 , 15 , 37 , 68 ,156 ,115 , 47 )( 2 ,110 ,159 , 80 , 21 , 30 ,106 ,169 ,113 , 50 )( 3 , 70 ,155 , 79 , 19 , 27 ,123 ,146 ,114 , 54 )( 4 ,108 ,147 , 77 , 11 ,36 ,112 ,160 ,116 , 41 )( 5 ,126 ,176 , 89 , 14 , 35 , 67 ,163 , 93 , 42 )6 , 83 ,168 , 94 , 20 , 28 , 87 ,173 , 90 , 51 )( 7 , 69 ,164 , 99 , 22 , 29 ,124 ,150 ,103 , 55 )( 8 , 85 ,151 ,104 , 10 , 38 , 81 ,167 ,100 , 48 )( 9 , 57 , 86 ,148 ,75 , 23 , 32 , 82 ,166 ,118 )( 12 , 61 ,107 ,152 ,102 , 18 , 26 ,111 ,157 , 98 )13 , 60 , 65 ,171 , 76 , 17 , 25 ,128 ,162 ,117 )( 16 , 64 , 66 ,175 , 91 , 24 , 31 ,127 ,153 , 95 )( 33 , 72 ,149 ,101 , 44 , 62 ,121 ,154 , 97 , 53 )( 34 , 88 ,170 ,119 ,43 , 59 , 84 ,165 , 74 , 52 )( 39 , 71 ,145 ,120 , 45 , 58 ,122 ,161 , 73 , 56 )40 ,105 ,174 , 92 , 46 , 63 ,109 ,158 , 96 , 49 )(129 ,135 ,179 ,181 ,134 ,142 ,141 ,185 ,186 ,178 )(130 ,138 ,190 ,182 ,144 ,140 ,187 ,143 ,192 ,188 )(131 ,183 )132 ,191 ,139 ,184 ,137 ,177 ,180 ,136 ,133 ,189 ) ];54 ]:=1 , 11 , 23 , 28 , 3 , 9 , 20 , 31 )( 2 , 14 , 24 , 29 , 5 , 16 , 22 , 26 )4 , 15 , 19 , 25 , 7 , 12 , 17 , 27 )( 6 , 10 , 21 , 32 , 8 , 13 , 18 , 30 )33 , 83 , 56 , 69 , 35 , 81 , 54 , 66 )( 34 , 86 , 55 , 68 , 37 , 88 , 52 , 71 )36 , 87 , 53 , 72 , 39 , 84 , 50 , 70 )( 38 , 82 , 51 , 65 , 40 , 85 , 49 , 67 )41 , 79 , 64 , 94 , 43 , 76 , 62 , 96 )( 42 , 74 , 63 , 91 , 45 , 77 , 60 , 89 )44 , 75 , 61 , 90 , 47 , 73 , 58 , 93 )( 46 , 78 , 59 , 95 , 48 , 80 , 57 , 92 )97 ,122 ,115 ,106 , 99 ,125 ,113 ,109 )( 98 ,127 ,117 ,111 ,101 ,124 ,114 ,108 )100 ,126 ,119 ,110 ,103 ,128 ,116 ,112 )(102 ,123 ,120 ,107 ,104 ,121 ,118 ,105 ), 1 , 45 ,107 , 30 , 64 ,104 , 5 , 48 ,112 , 31 , 61 , 99 )( 2 , 46 ,110 , 28 , 58 , 97 ,3 , 42 ,105 , 32 , 62 ,102 )( 4 , 47 ,106 , 26 , 59 ,100 , 8 , 43 ,108 , 27 , 63 , 98 6 , 41 ,111 , 25 , 60 ,101 , 7 , 44 ,109 , 29 , 57 ,103 )( 9 , 55 ,127 , 17 , 34 ,120 , 13 , 51 ,125 , 21 , 38 ,115 )( 10 , 49 ,122 , 18 , 40 ,113 , 11 , 52 ,124 , 19 ,37 ,118 )( 12 , 53 ,126 , 20 , 36 ,116 , 16 , 56 ,121 , 24 , 33 ,114 )14 , 54 ,123 , 22 , 35 ,117 , 15 , 50 ,128 , 23 , 39 ,119 )( 65 , 67 )66 , 68 , 72 , 69 , 71 , 70 )( 73 , 96 , 87 , 78 , 92 , 83 )( 74 , 90 , 82 , 76 , 91 ,86 )( 75 , 94 , 84 , 80 , 95 , 81 )( 77 , 93 , 85 , 79 , 89 , 88 ) ];55 ]:=1 , 9 )( 2 , 8 ,23 ,32 ,31 ,22 , 7 , 3 ,17 ,26 ,37 ,28 ,13 , 4 ,11 ,20 ,35 ,34 ,19 ,10 , 5 ,14 ,29 ,38 ,25 ,16 )( 6 ,15 )(12 ,21 )(18 ,27 )(24 ,33 )(30 ,39 ), 1 ,38 , 5 ,15 ,26 , 7 )( 2 , 9 ,32 )( 3 ,31 ,24 ,16 ,29 ,39 )( 4 ,37 ,30 ,10 ,35 ,36 )6 ,34 ,11 ,21 ,20 ,13 )( 8 ,25 ,18 ,22 ,23 ,33 )(12 ,28 ,17 ,27 ,14 ,19 ) ];56 ]:=1 , 46 ,244 ,119 ,132 ,159 ,136 ,194 , 48 ,128 ,160 ,208 ,182 , 14 , 6 , 15 )2 , 55 ,107 ,233 ,196 ,150 ,143 ,258 , 47 ,186 ,126 ,256 ,113 ,253 , 86 , 23 )3 , 54 ,137 ,265 , 25 ,163 ,154 ,220 ,145 , 93 ,181 ,112 , 69 ,106 ,162 , 38 )4 ,171 , 68 ,260 ,129 ,141 , 90 ,224 , 65 ,187 , 52 , 64 , 8 ,217 ,166 ,270 )5 , 11 ,168 ,226 , 41 , 19 , 18 ,131 , 98 , 44 ,251 , 96 ,192 ,108 ,248 ,234 )7 ,207 ,102 ,114 , 33 ,116 ,183 ,142 , 60 , 89 ,249 , 32 ,243 ,155 ,232 ,272 )9 ,214 , 75 ,263 , 85 ,167 , 26 , 99 , 49 ,100 ,153 ,144 ,146 , 42 ,170 ,189 )10 ,200 , 78 , 13 , 82 , 37 , 74 ,206 ,173 ,178 , 43 , 80 ,205 ,255 ,176 , 77 )12 , 87 , 71 ,105 ,254 ,252 ,240 , 66 , 39 ,184 , 57 , 16 ,104 ,246 ,242 , 45 )17 ,227 , 63 ,103 , 56 ,250 ,120 , 28 ,259 ,264 ,266 ,269 , 91 ,225 , 97 ,241 )20 ,115 ,123 ,148 ,257 ,135 , 95 , 31 ,211 ,193 ,118 ,117 ,151 ,223 ,191 ,271 )21 , 83 ,165 ,237 ,219 , 27 ,179 ,261 ,221 ,239 ,267 ,213 ,161 ,124 ,229 ,209 )22 ,195 ,175 ,262 ,268 ,199 ,127 ,158 , 81 ,177 ,122 , 30 ,147 , 50 , 34 , 40 )24 , 67 ,197 ,156 , 59 , 84 ,185 ,134 ,110 ,238 ,210 , 35 , 70 ,133 , 61 ,218 )29 , 51 ,101 , 72 ,212 ,157 ,130 , 36 , 76 ,202 ,180 , 53 ,139 , 88 ,231 ,222 )58 ,216 ,201 ,172 ,149 ,236 ,198 ,109 ,174 ,228 , 79 ,138 , 94 ,247 ,121 ,188 )62 ,245 ,169 ,230 ,111 ,152 ,204 ,164 ,125 ,140 ,203 , 73 ,190 , 92 ,215 ,235 ), 1 ,264 ,144 ,119 ,184 , 31 ,120 ,100 )( 2 ,269 ,111 ,233 ,200 ,238 , 96 ,141 )3 , 68 ,166 , 25 , 82 ,177 ,192 ,261 )( 4 , 84 , 37 ,201 , 92 , 79 ,179 ,134 )5 ,109 ,236 ,199 ,173 , 57 , 95 ,237 )( 6 , 47 , 64 ,122 ,156 ,267 ,150 ,204 )7 ,171 ,234 , 48 , 61 ,227 ,127 ,270 )( 8 , 35 , 75 , 67 ,129 , 51 ,181 , 36 )9 ,164 ,137 ,230 , 85 , 77 ,185 ,161 )( 10 ,145 , 58 ,153 , 94 , 69 ,213 ,139 )11 ,268 , 80 , 49 , 52 , 90 ,146 , 21 )( 12 ,272 , 40 , 72 ,162 , 73 ,130 ,135 )13 , 87 ,239 , 32 ,254 , 99 ,225 ,197 )( 14 , 76 ,209 ,118 ,255 ,258 ,223 , 38 )15 ,189 ,112 ,115 ,180 ,102 ,195 ,228 )( 16 ,101 ,235 ,154 ,157 , 18 ,207 , 20 )17 ,128 ,265 ,103 ,123 ,242 ,136 , 54 )( 19 ,107 ,249 , 98 , 50 ,183 ,143 , 22 )23 ,125 ,169 ,186 ,175 ,250 ,132 ,226 )( 24 ,104 ,193 ,256 ,131 ,133 , 26 ,149 )27 ,252 ,194 , 60 , 63 ,117 , 74 ,152 )( 28 ,196 ,244 , 71 ,165 ,121 ,178 ,191 )29 , 91 ,163 ,105 , 55 ,229 ,240 ,205 )( 30 ,114 ,216 ,138 ,155 ,251 ,159 , 56 )33 ,208 ,247 ,142 ,124 ,222 ,262 ,217 )( 34 ,253 , 66 ,257 , 70 ,174 ,170 ,218 )39 , 59 , 86 , 44 , 62 ,241 ,220 ,263 )( 41 ,232 ,231 , 45 , 93 ,167 ,266 ,172 )42 ,151 ,116 , 78 ,271 ,221 ,210 ,182 )( 43 , 88 , 65 , 53 , 83 ,140 ,198 ,245 )46 ,248 ,224 ,113 ,187 ,158 ,259 ,212 )( 81 ,215 ,190 ,108 ,219 ,148 ,246 ,206 )89 ,188 , 97 ,243 ,260 ,168 ,202 ,176 )(106 ,160 ,203 ,147 ,126 ,110 ,211 ,214 ) ];57 ]:=1 ,109 , 65 ,119 ,261 ,255 , 16 ,231 ,251 )( 2 ,258 ,262 , 38 ,207 ,239 , 68 ,113 , 56 )3 , 70 ,118 ,242 ,190 ,177 , 8 ,137 ,160 , 6 ,189 ,179 ,214 , 67 ,120 , 5 ,124 , 80 )4 ,111 ,158 ,269 ,110 , 51 ,272 ,140 , 52 , 7 ,186 , 74 ,234 , 18 , 46 ,241 ,126 ,152 )9 , 28 ,246 ,195 ,212 ,232 ,172 ,218 ,102 , 33 ,171 ,250 , 98 ,206 ,263 , 27 ,219 ,196 )10 , 79 ,176 ,249 , 42 ,210 ,267 , 21 ,220 ,167 ,125 , 34 ,240 ,182 ,215 ,203 ,156 ,224 )11 ,175 , 85 ,209 , 87 , 64 ,247 , 62 ,168 , 39 , 36 ,198 ,270 , 66 ,114 ,271 ,164 , 13 )12 ,144 , 48 ,235 ,187 ,226 ,145 ,208 ,127 ,166 , 94 , 49 ,256 ,106 ,217 ,134 ,202 , 41 )14 , 31 , 86 , 47 ,257 , 57 , 32 , 17 ,122 , 95 ,169 ,200 , 97 ,233 ,129 ,170 ,155 ,103 )15 ,266 , 29 , 82 ,108 ,252 , 61 , 92 ,184 ,165 ,228 , 78 ,136 , 99 ,244 ,163 ,143 , 44 )19 ,146 ,197 ,205 , 25 , 93 ,128 ,253 ,174 ,154 ,130 , 83 ,268 , 55 , 60 ,100 ,254 , 37 )20 , 63 ,104 , 35 , 30 ,183 ,193 , 89 ,216 , 26 ,162 ,194 ,133 , 76 , 45 ,101 , 81 ,260 )22 ,147 , 40 , 23 ,259 , 96 ,204 , 50 ,225 ,105 ,131 ,173 , 77 ,223 ,141 ,211 ,149 ,237 )24 , 58 ,139 ,245 ,229 ,213 , 73 ,199 ,181 ,153 ,161 ,123 ,238 ,264 ,230 ,157 , 84 , 43 )53 ,227 ,265 ,236 ,185 , 71 ,117 , 72 ,115 ,150 ,243 ,222 ,201 ,112 ,192 ,180 ,191 ,178 )54 ,132 , 75 ,135 ,248 ,142 ,138 , 88 ,188 ,151 , 59 ,159 ,148 ,221 , 91 ,121 , 90 ,107 )69 ,116 ), ( 1 ,126 ,269 ,258 ,256 ,159 , 82 ,111 ,225 ,222 ,201 ,187 , 4 ,128 , 90 ,22 )( 2 ,121 ,191 , 63 ,240 ,143 , 34 ,186 , 7 ,125 , 83 ,167 , 97 , 72 ,148 ,109 )3 ,123 ,166 ,100 ,136 , 23 , 84 ,137 ,132 , 53 ,147 ,108 , 93 , 49 , 71 ,188 )5 ,127 , 68 , 62 ,270 ,261 ,259 ,189 , 60 , 36 ,202 ,229 ,213 ,141 , 39 , 99 )6 ,124 ,272 ,168 , 98 ,208 ,183 , 70 ,227 ,185 , 8 ,122 , 96 ,218 ,198 , 18 )9 , 15 ,196 , 89 , 24 ,179 ,113 ,119 ,120 ,153 , 32 ,246 ,154 , 28 ,175 , 11 )10 ,165 ,104 ,195 , 91 ,181 , 69 ,115 ,214 ,220 ,193 , 92 ,250 ,207 ,144 , 38 )12 ,254 ,206 ,161 , 51 , 65 , 64 ,117 ,156 , 25 , 48 , 45 ,171 , 76 , 79 ,133 )13 ,253 ,257 ,235 ,204 ,203 ,177 ,118 ,267 ,145 ,105 , 26 , 29 , 85 ,266 ,174 )14 , 33 ,103 ,131 ,252 ,210 ,178 ,114 , 56 , 46 , 43 ,172 , 78 , 77 , 31 ,176 )16 ,102 ,197 , 17 ,182 , 67 ,180 ,116 , 58 ,221 ,219 ,200 , 19 ,249 ,231 ,173 )20 , 73 ,140 ,134 ,160 , 81 , 40 ,162 , 54 ,226 ,209 ,243 ,216 ,150 , 44 ,199 )21 ,239 ,190 , 61 ,265 ,155 , 30 , 86 ,230 ,228 ,248 ,262 ,212 ,241 ,184 , 66 )27 ,251 ,142 , 37 ,264 ,194 , 95 ,101 ,236 ,205 ,242 ,255 ,215 ,247 ,146 ,110 )35 ,106 ,224 ,158 , 87 , 59 ,107 ,271 ,152 , 42 ,237 ,169 , 75 ,238 ,157 , 88 )41 ,129 , 55 , 74 ,268 ,163 , 52 ,244 ,260 ,223 ,217 ,232 ,138 ,135 ,263 ,149 )47 , 94 ,170 , 80 ,211 ,234 ,245 ,233 ,139 ,130 ,192 , 57 ,112 ,164 , 50 ,151 ) ];58 ]:=1 , 30 ,160 ,124 ,266 ,240 ,239 ,230 ,194 , 17 , 91 ,206 , 87 ,261 ,211 ,242 ,214 ,178 )2 , 32 , 41 ,213 ,143 ,113 ,219 ,188 ,100 , 34 ,115 , 20 ,216 ,181 , 39 ,223 ,207 , 85 )3 , 29 ,199 , 49 , 68 ,148 , 73 , 52 ,153 , 10 , 75 ,179 , 5 , 28 ,152 , 13 , 70 ,176 )4 , 26 ,249 ,192 , 57 ,111 ,218 ,177 , 7 , 25 , 11 ,243 ,195 , 21 ,102 ,215 ,166 , 66 )6 , 27 ,120 ,189 , 63 ,183 , 38 ,158 ,121 , 81 , 43 ,136 ,145 ,116 ,203 ,106 ,182 , 40 )8 , 31 ,231 ,236 ,263 ,259 ,173 , 48 ,139 , 89 , 98 ,225 ,232 ,260 ,264 ,162 ,131 ,175 )9 ,163 ,132 , 18 ,248 ,245 ,165 , 72 ,117 , 19 ,190 , 64 , 33 ,244 ,250 ,157 ,125 , 86 )12 ,141 , 93 ,271 ,161 ,135 , 24 , 69 ,205 , 83 ,197 , 54 ,270 ,149 , 80 ,129 , 59 ,156 )14 ,187 , 99 ,268 ,196 , 23 ,169 , 65 ,184 , 97 ,191 , 61 ,272 ,204 ,105 ,193 , 22 ,154 )15 ,104 ,123 ,212 ,137 , 94 ,167 , 67 ,202 ,107 ,127 , 55 ,237 ,147 , 77 ,174 , 44 ,155 )16 ,255 ,227 ,185 ,103 ,128 ,168 , 71 , 42 ,130 ,246 ,224 ,146 ,119 ,112 ,186 ,101 , 35 )36 ,140 , 90 ,258 ,138 , 96 ,144 ,114 ,108 , 82 ,180 , 37 ,265 ,142 ,118 ,171 , 46 , 62 )45 ,228 ,254 ,221 ,159 ,122 , 50 ,233 ,150 , 74 ,217 ,256 ,226 ,172 , 47 , 58 ,210 ,170 )51 ,269 ,151 , 78 ,134 ,252 ,234 ,238 ,208 , 84 ,267 ,201 ,109 , 88 ,253 ,220 ,229 ,200 )53 , 76 )( 56 , 92 , 95 , 79 ,251 ,209 ,257 ,241 ,164 ,133 , 60 ,110 ,126 ,247 ,235 ,262 ,222 ,198 ), ( 1 ,240 )( 2 ,139 )( 4 , 56 )( 5 ,262 )( 6 , 52 )( 7 ,261 )9 ,199 )( 11 ,198 )( 12 , 98 )( 13 ,242 )( 14 ,231 )( 15 , 95 )( 16 ,230 )( 17 ,211 )18 ,221 )( 19 ,179 )( 20 , 80 )( 21 ,220 )( 22 ,123 )( 23 , 62 )( 24 ,264 )( 25 ,133 )26 ,164 )( 27 ,178 )( 28 ,237 )( 29 ,265 )( 30 , 82 )( 31 , 83 )( 32 ,131 )( 33 ,226 )34 ,175 )( 35 ,192 )( 36 , 91 )( 37 ,181 )( 38 ,102 )( 40 ,252 )( 41 ,135 )( 42 ,195 )43 ,194 )( 44 ,117 )( 45 ,132 )( 46 ,193 )( 47 ,196 )( 48 ,115 )( 49 ,257 )( 50 , 72 )51 ,142 )( 53 ,270 )( 54 ,256 )( 55 , 65 )( 57 ,234 )( 58 ,125 )( 59 ,186 )( 60 ,233 )61 ,208 )( 63 ,184 )( 64 , 74 )( 66 ,266 )( 67 , 86 )( 68 ,212 )( 69 ,168 )( 70 , 81 )71 ,247 )( 73 ,239 )( 75 ,258 )( 76 ,271 )( 77 ,189 )( 79 ,238 )( 84 ,138 )( 85 ,141 )87 ,150 )( 88 ,151 )( 90 ,143 )( 92 ,210 )( 93 ,254 )( 94 ,145 )( 96 ,246 )( 97 ,225 )99 ,200 )(100 ,197 )(101 ,251 )(104 ,157 )(105 ,108 )(106 ,111 )(107 ,110 )(114 ,169 )116 ,154 )(118 ,255 )(120 ,243 )(121 ,253 )(122 ,204 )(124 ,170 )(126 ,229 )(127 ,165 )129 ,259 )(130 ,214 )(134 ,201 )(136 ,249 )(137 ,236 )(140 ,177 )(144 ,152 )(146 ,156 )147 ,232 )(148 ,171 )(149 ,228 )(153 ,267 )(155 ,272 )(159 ,160 )(161 ,217 )(163 ,216 )166 ,180 )(167 ,241 )(172 ,206 )(174 ,222 )(176 ,269 )(183 ,245 )(185 ,205 )(187 ,227 )188 ,244 )(190 ,213 )(191 ,224 )(202 ,268 )(203 ,250 )(207 ,248 )(209 ,263 )(215 ,223 )218 ,219 )(235 ,260 ) ];59 ]:=1 , 92 ,154 , 56 ,126 ,190 , 52 , 84 ,158 , 3 , 79 ,150 , 32 ,132 ,172 , 50 , 94 ,168 ,19 , 74 ,148 , 13 ,114 ,160 , 62 ,110 ,184 , 36 , 77 ,152 )( 2 , 91 ,153 , 55 ,125 ,189 , 51 , 83 ,157 , 4 , 80 ,149 , 31 ,131 ,171 , 49 , 93 ,167 , 20 , 73 ,147 , 14 ,113 ,159 , 61 ,109 ,183 , 35 , 78 ,151 )( 5 ,108 ,162 , 18 , 81 ,163 , 24 ,102 ,174 , 41 ,86 ,156 , 25 , 97 ,175 )( 6 ,107 ,161 , 17 , 82 ,164 , 23 ,101 ,173 , 42 , 85 ,155 ,26 , 98 ,176 )( 7 , 75 ,145 , 8 , 76 ,146 )( 9 , 90 ,180 , 40 ,120 ,192 , 70 ,139 ,211 , 59 ,103 ,169 , 12 ,124 ,178 , 34 ,129 ,216 , 72 , 87 ,185 , 30 , 96 ,166 , 66 ,138 ,208 , 43 ,115 ,199 )( 10 , 89 ,179 , 39 ,119 ,191 , 69 ,140 ,212 , 60 ,104 ,170 , 11 ,123 ,177 , 33 ,130 ,215 , 71 , 88 ,186 , 29 , 95 ,165 , 65 ,137 ,207 , 44 ,116 ,200 )15 ,144 ,201 , 58 ,105 ,195 , 45 ,117 ,197 , 53 ,127 ,187 , 64 ,135 ,209 , 21 ,121 ,193 ,27 , 99 ,203 , 67 ,142 ,213 , 47 ,111 ,181 , 37 ,133 ,205 )( 16 ,143 ,202 , 57 ,106 ,196 ,46 ,118 ,198 , 54 ,128 ,188 , 63 ,136 ,210 , 22 ,122 ,194 , 28 ,100 ,204 , 68 ,141 ,214 ,48 ,112 ,182 , 38 ,134 ,206 ), ( 1 ,210 , 57 ,163 , 29 ,200 , 18 ,203 , 53 ,167 )2 ,209 , 58 ,164 , 30 ,199 , 17 ,204 , 54 ,168 )( 3 ,158 , 28 ,192 , 21 ,151 , 20 ,197 , 33 ,196 )( 4 ,157 , 27 ,191 , 22 ,152 , 19 ,198 , 34 ,195 )( 5 ,170 , 60 ,174 ,15 ,205 , 35 ,148 , 48 ,214 )( 6 ,169 , 59 ,173 , 16 ,206 , 36 ,147 , 47 ,213 )7 ,181 , 66 ,190 , 11 ,175 , 71 ,153 , 70 ,194 )( 8 ,182 , 65 ,189 , 12 ,176 , 72 ,154 , 69 ,193 )( 9 ,185 )( 10 ,186 )( 13 ,183 , 39 ,172 , 68 ,161 , 23 ,201 , 55 ,215 )14 ,184 , 40 ,171 , 67 ,162 , 24 ,202 , 56 ,216 )( 25 ,156 , 63 ,160 , 43 ,149 , 52 ,166 , 61 ,187 )( 26 ,155 , 64 ,159 , 44 ,150 , 51 ,165 , 62 ,188 )( 31 ,208 , 38 ,145 ,45 ,178 , 50 ,179 , 41 ,212 )( 32 ,207 , 37 ,146 , 46 ,177 , 49 ,180 , 42 ,211 )73 , 78 ,133 ,137 ,112 , 74 , 77 ,134 ,138 ,111 )( 75 ,122 ,119 ,109 , 96 , 82 ,115 ,114 ,130 ,117 )( 76 ,121 ,120 ,110 , 95 , 81 ,116 ,113 ,129 ,118 )( 79 ,106 ,136 , 86 ,89 , 88 , 97 ,127 , 99 , 83 )( 80 ,105 ,135 , 85 , 90 , 87 , 98 ,128 ,100 , 84 )91 , 94 ,124 ,125 ,144 ,102 ,108 ,141 ,132 ,139 )( 92 , 93 ,123 ,126 ,143 ,101 ,107 ,142 ,131 ,140 ) ];60 ]:=1 , 15 ,124 ,109 , 7 , 17 ,122 ,110 )( 2 ,134 , 42 ,111 , 9 ,133 ,212 , 95 )3 ,132 ,101 , 19 , 5 ,130 ,102 , 13 )( 4 ,135 ,211 , 96 , 10 ,129 , 44 ,107 )6 , 74 ,163 ,108 , 11 ,131 ,205 ,112 )( 8 , 67 ,165 ,106 , 12 ,136 ,206 ,105 )14 ,126 , 52 ,103 , 21 ,125 ,214 , 85 )( 16 ,127 ,213 , 86 , 22 ,121 , 54 , 99 )18 , 94 ,169 ,100 , 23 ,123 ,207 ,104 )( 20 , 87 ,171 , 98 , 24 ,128 ,208 , 97 )25 , 27 ,140 ,117 , 31 , 29 ,138 ,118 )( 26 ,142 , 62 ,119 , 33 ,141 ,216 , 75 )28 ,143 ,215 , 76 , 34 ,137 , 64 ,115 )( 30 , 84 ,175 ,116 , 35 ,139 ,209 ,120 )32 , 77 ,177 ,114 , 36 ,144 ,210 ,113 )( 37 ,164 ,188 , 59 ,197 , 93 ,145 ,183 )38 , 50 ,204 ,162 ,152 , 91 , 80 ,178 )( 39 ,193 , 73 ,157 ,187 , 57 ,170 ,184 )40 ,196 ,156 ,158 , 81 , 90 ,172 , 48 )( 41 ,194 , 69 ,161 ,185 , 63 ,174 ,182 )43 ,168 ,186 , 61 ,198 , 89 ,149 ,181 )( 45 ,195 ,153 ,160 , 82 , 88 ,173 , 56 )46 , 55 ,203 ,159 ,154 , 92 , 78 ,179 )( 47 ,176 ,192 , 49 ,201 , 83 ,151 ,191 )51 ,202 , 79 ,155 ,189 , 53 ,180 ,190 )( 58 , 60 ,200 ,150 ,146 , 71 , 70 ,166 )65 ,199 ,147 ,148 , 72 , 68 ,167 , 66 ), ( 1 ,121 , 89 , 61 , 2 ,122 , 92 , 65 )3 , 94 , 63 , 12 , 5 , 87 , 57 , 11 )( 4 ,125 , 88 , 62 , 6 ,128 , 96 , 66 )7 ,126 , 93 , 59 , 10 ,124 , 91 , 60 )( 8 ,123 , 95 , 58 , 9 ,127 , 90 , 64 )13 ,137 , 69 , 51 , 14 ,138 , 72 , 55 )( 15 , 84 , 43 , 36 , 17 , 77 , 37 , 35 )16 ,141 , 68 , 52 , 18 ,144 , 76 , 56 )( 19 ,142 , 73 , 49 , 22 ,140 , 71 , 50 )20 ,139 , 75 , 48 , 21 ,143 , 70 , 54 )( 23 , 27 , 74 , 53 , 24 , 29 , 67 , 47 )25 ,129 , 79 , 41 , 26 ,130 , 82 , 45 )( 28 ,133 , 78 , 42 , 30 ,136 , 86 , 46 )31 ,134 , 83 , 39 , 34 ,132 , 81 , 40 )( 32 ,131 , 85 , 38 , 33 ,135 , 80 , 44 )97 ,173 ,205 ,160 ,174 ,101 ,189 ,199 )( 98 ,190 ,150 ,161 ,169 ,211 ,201 ,119 )99 ,116 ,184 ,159 ,145 ,165 ,214 ,198 )(100 ,192 ,147 ,157 ,171 ,212 ,202 ,115 )102 ,191 ,200 ,104 ,172 ,206 ,158 ,170 )(103 ,114 ,182 ,162 ,149 ,163 ,213 ,197 )105 ,167 ,207 ,154 ,180 ,117 ,181 ,195 )(106 ,186 ,156 ,155 ,175 ,215 ,193 ,111 )107 ,108 ,188 ,153 ,151 ,177 ,216 ,194 )(109 ,185 ,203 ,113 ,179 ,209 ,148 ,168 )110 ,187 ,204 ,120 ,178 ,210 ,146 ,164 )(112 ,166 ,208 ,152 ,176 ,118 ,183 ,196 ) ];61 ]:=2 , 3 , 5 , 9 , 6 , 4 )( 7 , 10 , 11 )( 8 , 12 , 13 )( 14 , 15 )( 17 , 33 )18 , 35 , 21 , 41 , 22 , 36 )( 19 , 37 , 25 , 38 , 20 , 34 )( 23 , 42 , 27 , 39 , 26 ,43 )( 24 , 44 , 29 , 40 , 28 , 45 )( 30 , 47 )( 31 , 46 )( 32 , 48 )49 ,130 , 68 ,120 , 93 ,111 , 62 ,138 , 71 ,115 , 82 , 97 )( 50 ,129 , 65 ,114 , 84 ,104 , 61 ,143 , 78 ,122 , 87 , 99 )( 51 ,135 , 75 ,117 , 83 ,103 , 59 ,133 , 67 ,119 ,91 ,101 )( 52 ,136 , 77 ,127 , 94 ,106 , 55 ,131 , 66 ,113 , 81 , 98 )53 ,139 , 74 ,126 , 95 ,109 , 60 ,134 , 73 ,128 , 96 ,105 )( 54 ,140 , 72 ,116 , 86 ,108 , 56 ,132 , 70 ,124 , 88 ,100 )( 57 ,144 , 80 ,121 , 85 ,107 , 58 ,142 , 79 ,125 ,92 ,102 )( 63 ,141 , 76 ,118 , 89 ,112 , 64 ,137 , 69 ,123 , 90 ,110 ), 1 , 97 , 49 )( 2 , 98 , 50 )( 3 , 99 , 51 )( 4 ,100 , 52 )( 5 ,101 , 53 )6 ,102 , 54 )( 7 ,103 , 55 )( 8 ,104 , 56 )( 9 ,105 , 57 )( 10 ,106 , 58 )11 ,107 , 59 )( 12 ,108 , 60 )( 13 ,109 , 61 )( 14 ,110 , 62 )( 15 ,111 , 63 )16 ,112 , 64 )( 17 ,113 , 65 )( 18 ,114 , 66 )( 19 ,115 , 67 )( 20 ,116 , 68 )21 ,117 , 69 )( 22 ,118 , 70 )( 23 ,119 , 71 )( 24 ,120 , 72 )( 25 ,121 , 73 )26 ,122 , 74 )( 27 ,123 , 75 )( 28 ,124 , 76 )( 29 ,125 , 77 )( 30 ,126 , 78 )31 ,127 , 79 )( 32 ,128 , 80 )( 33 ,129 , 81 )( 34 ,130 , 82 )( 35 ,131 , 83 )36 ,132 , 84 )( 37 ,133 , 85 )( 38 ,134 , 86 )( 39 ,135 , 87 )( 40 ,136 , 88 )41 ,137 , 89 )( 42 ,138 , 90 )( 43 ,139 , 91 )( 44 ,140 , 92 )( 45 ,141 , 93 )46 ,142 , 94 )( 47 ,143 , 95 )( 48 ,144 , 96 ), 1 , 16 )( 2 , 9 )( 3 , 5 )( 4 , 6 )( 7 , 11 )( 8 , 12 )( 17 , 32 )( 18 , 25 )19 , 21 )( 20 , 22 )( 23 , 27 )( 24 , 28 )( 33 , 48 )( 34 , 41 )( 35 , 37 )( 36 , 38 )39 , 43 )( 40 , 44 )( 49 ,112 )( 50 ,105 )( 51 ,101 )( 52 ,102 )( 53 , 99 )( 54 ,100 )55 ,107 )( 56 ,108 )( 57 , 98 )( 58 ,106 )( 59 ,103 )( 60 ,104 )( 61 ,109 )( 62 ,110 )63 ,111 )( 64 , 97 )( 65 ,128 )( 66 ,121 )( 67 ,117 )( 68 ,118 )( 69 ,115 )( 70 ,116 )71 ,123 )( 72 ,124 )( 73 ,114 )( 74 ,122 )( 75 ,119 )( 76 ,120 )( 77 ,125 )( 78 ,126 )79 ,127 )( 80 ,113 )( 81 ,144 )( 82 ,137 )( 83 ,133 )( 84 ,134 )( 85 ,131 )( 86 ,132 )87 ,139 )( 88 ,140 )( 89 ,130 )( 90 ,138 )( 91 ,135 )( 92 ,136 )( 93 ,141 )( 94 ,142 )95 ,143 )( 96 ,129 ) ];62 ]:=1 ,83 ,29 )( 2 ,91 ,36 ,10 ,77 ,40 ,12 ,79 ,25 , 4 ,90 ,41 , 7 ,73 ,30 )( 3 ,84 ,26 )5 ,93 ,35 , 9 ,74 ,39 ,11 ,80 ,27 , 6 ,89 ,42 , 8 ,75 ,28 )(13 ,87 ,47 ,19 ,82 ,33 ,15 ,95 ,45 ,22 ,78 ,37 ,17 ,92 ,31 )(14 ,88 ,48 ,21 ,81 ,34 ,16 ,96 ,43 ,20 ,76 ,38 ,18 ,94 ,32 )23 ,86 ,44 )(24 ,85 ,46 )(49 ,56 ,68 ,61 ,52 )(50 ,59 ,67 ,71 ,64 )(51 ,55 ,70 ,62 ,54 )53 ,60 ,69 ,72 ,63 ), ( 1 , 4 , 5 )( 2 , 3 , 6 )( 7 ,13 ,17 )( 8 ,14 ,18 )( 9 ,15 ,11 )10 ,16 ,12 )(19 ,20 ,23 )(21 ,22 ,24 )(25 ,53 ,93 )(26 ,54 ,89 )(27 ,50 ,91 )(28 ,49 ,83 )29 ,52 ,90 )(30 ,51 ,84 )(31 ,65 ,92 )(32 ,66 ,94 )(33 ,59 ,80 )(34 ,60 ,79 )(35 ,63 ,95 )36 ,64 ,96 )(37 ,55 ,73 )(38 ,56 ,75 )(39 ,57 ,74 )(40 ,58 ,77 )(41 ,61 ,87 )(42 ,62 ,88 )43 ,71 ,86 )(44 ,67 ,82 )(45 ,72 ,85 )(46 ,69 ,81 )(47 ,68 ,76 )(48 ,70 ,78 ), 1 , 3 )( 2 , 4 )( 5 , 6 )( 9 ,11 )(10 ,12 )(13 ,17 )(14 ,18 )(19 ,22 )(20 ,21 )(23 ,24 )25 ,91 )(26 ,83 )(27 ,93 )(28 ,89 )(29 ,84 )(30 ,90 )(31 ,92 )(32 ,94 )(33 ,95 )(34 ,96 )35 ,80 )(36 ,79 )(37 ,87 )(38 ,88 )(39 ,74 )(40 ,77 )(41 ,73 )(42 ,75 )(43 ,81 )(44 ,85 )45 ,82 )(46 ,86 )(47 ,78 )(48 ,76 )(49 ,54 )(50 ,53 )(51 ,52 )(55 ,61 )(56 ,62 )(59 ,63 )60 ,64 )(67 ,72 )(68 ,70 )(69 ,71 ) ];63 ]:=1 , 4 ,15 ,12 ,48 ,35 ,10 ,36 )( 2 ,13 ,20 ,27 )( 3 ,37 ,21 , 6 ,43 ,23 ,11 ,26 )5 ,33 ,32 ,17 )( 7 ,44 ,18 ,45 )( 8 ,38 ,42 ,40 ,25 ,47 ,24 ,19 )( 9 ,28 ,46 ,41 ,16 ,22 ,29 ,30 )(14 ,39 ,31 ,34 ), ( 1 ,13 ,38 ,31 ,48 ,18 ,47 ,17 )( 2 ,19 , 5 ,16 ,14 ,46 ,32 ,10 ,45 ,23 ,27 , 6 ,44 ,40 ,34 , 9 ,33 ,29 ,39 ,15 ,20 ,37 , 7 ,26 )( 3 ,42 ,36 )( 4 , 8 ,41 ,35 ,25 ,30 )(11 ,21 )(12 ,43 ,24 ) ];64 ]:=2 , 3 , 5 , 8 , 7 , 4 )( 6 , 9 , 13 , 18 , 14 , 10 )( 11 , 12 , 16 , 21 , 20 , 15 )17 , 22 , 19 , 24 , 25 , 23 )( 26 ,126 , 76 ,101 )( 27 ,130 , 80 ,107 , 32 ,132 , 82 ,105 , 30 ,127 , 77 ,102 )( 28 ,128 , 78 ,104 , 29 ,133 , 83 ,108 , 33 ,129 , 79 ,103 )31 ,134 , 84 ,114 , 39 ,143 , 93 ,113 , 38 ,135 , 85 ,106 )( 34 ,131 , 81 ,110 , 35 ,138 , 88 ,118 , 43 ,139 , 89 ,109 )( 36 ,141 , 91 ,120 , 45 ,145 , 95 ,116 , 41 ,136 ,86 ,111 )( 37 ,137 , 87 ,115 , 40 ,146 , 96 ,121 , 46 ,140 , 90 ,112 )42 ,149 , 99 ,125 , 50 ,148 , 98 ,119 , 44 ,147 , 97 ,117 )( 47 ,144 , 94 ,123 , 48 ,150 ,100 ,124 , 49 ,142 , 92 ,122 )( 52 , 53 , 55 , 58 , 57 , 54 )( 56 , 59 , 63 , 68 ,64 , 60 )( 61 , 62 , 66 , 71 , 70 , 65 )( 67 , 72 , 69 , 74 , 75 , 73 ), 1 ,108 , 33 )( 2 ,107 , 26 )( 3 ,101 , 30 )( 4 ,118 , 32 )( 5 ,105 , 38 )6 ,104 , 28 )( 7 ,121 , 43 )( 8 ,113 , 46 )( 9 ,103 , 41 )( 10 ,120 , 29 )11 ,114 , 27 )( 12 ,102 , 34 )( 13 ,116 , 44 )( 14 ,123 , 45 )( 15 ,124 , 39 )16 ,109 , 50 )( 17 ,110 , 37 )( 18 ,119 , 48 )( 19 ,115 , 31 )( 20 ,111 , 49 )21 ,125 , 36 )( 22 ,112 , 40 )( 23 ,117 , 35 )( 24 ,106 , 47 )( 25 ,122 , 42 )51 ,128 , 78 )( 52 ,127 , 76 )( 53 ,126 , 80 )( 54 ,131 , 77 )( 55 ,130 , 84 )56 ,129 , 83 )( 57 ,137 , 81 )( 58 ,134 , 87 )( 59 ,133 , 91 )( 60 ,136 , 79 )61 ,135 , 82 )( 62 ,132 , 88 )( 63 ,141 , 99 )( 64 ,142 , 86 )( 65 ,144 , 85 )66 ,138 , 97 )( 67 ,139 , 96 )( 68 ,149 , 92 )( 69 ,140 , 93 )( 70 ,145 , 94 )71 ,147 , 95 )( 72 ,146 , 90 )( 73 ,148 , 89 )( 74 ,143 ,100 )( 75 ,150 , 98 ), 2 , 3 )( 4 , 5 )( 7 , 8 )( 9 , 10 )( 11 , 12 )( 13 , 14 )( 15 , 16 )( 17 , 19 )20 , 21 )( 23 , 24 )( 26 ,101 )( 27 ,102 )( 28 ,104 )( 29 ,103 )( 30 ,107 )( 31 ,110 )32 ,105 )( 33 ,108 )( 34 ,114 )( 35 ,106 )( 36 ,111 )( 37 ,115 )( 38 ,118 )( 39 ,109 )40 ,112 )( 41 ,120 )( 42 ,122 )( 43 ,113 )( 44 ,123 )( 45 ,116 )( 46 ,121 )( 47 ,117 )48 ,119 )( 49 ,125 )( 50 ,124 )( 52 , 53 )( 54 , 55 )( 57 , 58 )( 59 , 60 )( 61 , 62 )63 , 64 )( 65 , 66 )( 67 , 69 )( 70 , 71 )( 73 , 74 )( 76 ,126 )( 77 ,130 )( 78 ,128 )79 ,133 )( 80 ,127 )( 81 ,134 )( 82 ,132 )( 83 ,129 )( 84 ,131 )( 85 ,138 )( 86 ,141 )87 ,137 )( 88 ,135 )( 89 ,143 )( 90 ,146 )( 91 ,136 )( 92 ,149 )( 93 ,139 )( 94 ,147 )95 ,145 )( 96 ,140 )( 97 ,144 )( 98 ,150 )( 99 ,142 )(100 ,148 ) ];65 ]:=1 , 32 , 86 , 94 , 96 , 72 , 42 , 47 , 59 , 54 , 80 , 92 , 90 , 87 , 16 )2 , 31 , 19 , 29 , 73 , 5 , 27 , 40 , 11 , 21 , 81 , 13 , 35 , 15 , 3 )6 , 28 , 55 )( 7 , 24 , 38 , 79 , 64 , 52 , 71 , 39 , 8 , 23 , 56 , 46 , 97 , 58 , 44 9 , 34 , 98 , 88 , 99 , 18 , 25 , 49 , 93 , 62 , 82 , 74 , 50 , 89 , 61 )10 , 33 , 69 , 77 , 17 , 26 , 66 , 48 , 75 , 53 , 65 , 41 , 83 , 60 , 67 )12 , 22 , 43 )( 14 , 36 , 95 )( 20 , 30 , 91 )( 37 , 51 , 63 )( 45 , 85 , 57 )68 , 78 , 70 )( 76 , 84 ,100 ), ( 2 , 57 , 26 )( 3 , 10 , 45 )( 4 , 64 , 52 )5 , 21 , 37 )( 6 , 13 , 46 )( 7 , 54 , 25 )( 8 , 20 , 34 )( 9 , 42 , 23 )11 , 74 , 51 )( 12 , 80 , 44 )( 14 , 41 , 38 )( 15 , 94 , 33 )( 16 , 68 , 32 )17 , 90 , 31 )( 18 , 36 , 24 )( 19 , 92 , 43 )( 22 , 58 , 29 )( 27 , 63 , 82 )28 , 56 , 72 )( 30 , 39 , 53 )( 35 , 55 , 96 )( 40 , 62 , 50 )( 47 , 61 , 84 )48 , 60 , 88 )( 49 , 59 , 76 )( 65 , 71 , 79 )( 66 , 85 , 67 )( 69 , 86 , 70 )73 , 97 , 81 )( 75 , 98 , 91 )( 77 , 78 , 87 )( 83 , 95 , 99 )( 89 , 93 ,100 ), 2 , 3 )( 5 , 21 )( 6 , 22 )( 7 , 23 )( 8 , 24 )( 9 , 25 )( 10 , 26 )( 11 , 27 )12 , 28 )( 13 , 29 )( 14 , 30 )( 15 , 31 )( 16 , 32 )( 17 , 33 )( 18 , 34 )( 19 , 35 )20 , 36 )( 38 , 39 )( 41 , 53 )( 42 , 54 )( 43 , 55 )( 44 , 56 )( 45 , 57 )( 46 , 58 )47 , 59 )( 48 , 60 )( 49 , 61 )( 50 , 62 )( 51 , 63 )( 52 , 64 )( 66 , 67 )( 69 , 77 )70 , 78 )( 71 , 79 )( 72 , 80 )( 73 , 81 )( 74 , 82 )( 75 , 83 )( 76 , 84 )( 86 , 87 )89 , 93 )( 90 , 94 )( 91 , 95 )( 92 , 96 )( 98 , 99 ) ];66 ]:=1 , 9 )( 2 ,34 ,23 ,10 ,37 ,14 ,13 ,38 ,11 ,22 ,35 , 3 ,25 ,26 )( 4 ,31 ,20 , 7 ,40 ,17 ,16 ,41 ,8 ,19 ,32 , 5 ,28 ,29 )( 6 ,15 )(12 ,21 )(18 ,27 )(24 ,33 )(30 ,39 )(36 ,42 ), 1 ,29 ,38 ,18 ,11 ,20 )( 2 , 8 ,15 ,41 ,34 ,30 )( 3 ,21 ,37 ,28 ,36 , 7 )( 4 ,27 ,31 ,22 ,42 ,13 5 ,14 , 9 ,35 ,40 ,24 )( 6 ,23 ,32 ,12 ,17 ,26 )(10 ,33 ,25 ,16 ,39 ,19 ) ];67 ]:=1 ,54 ,32 ,40 , 5 ,61 ,27 ,46 , 2 ,56 ,31 ,38 , 6 ,63 ,28 ,48 )( 3 ,53 ,30 ,39 , 7 ,62 ,25 ,45 ,4 ,55 ,29 ,37 , 8 ,64 ,26 ,47 )( 9 ,50 ,22 ,33 ,13 ,57 ,17 ,43 ,10 ,52 ,21 ,35 ,14 ,59 ,18 ,41 11 ,49 ,24 ,34 ,15 ,58 ,19 ,44 ,12 ,51 ,23 ,36 ,16 ,60 ,20 ,42 )(65 ,80 ,68 ,77 )66 ,78 ,67 ,79 )(69 ,72 )(74 ,75 )(81 ,89 ,94 ,85 ,84 ,92 ,95 ,88 )(82 ,91 ,93 ,87 ,83 ,90 ,96 ,86 ), ( 1 ,96 ,47 ,19 ,68 ,61 ,14 ,82 ,33 ,32 ,79 ,51 , 4 ,93 ,46 ,18 ,65 ,64 ,15 ,83 ,36 ,29 ,78 ,50 )( 2 ,95 ,48 ,20 ,67 ,62 ,13 ,81 ,34 ,31 ,80 ,52 , 3 ,94 ,45 ,17 ,66 ,63 ,16 ,84 ,35 ,30 ,77 ,49 )( 5 ,89 ,44 ,21 ,72 ,60 , 9 ,88 ,37 ,25 ,76 ,53 , 8 ,92 ,41 ,24 ,69 ,57 ,12 ,85 ,40 ,28 ,73 ,56 )( 6 ,90 ,43 ,22 ,71 ,59 ,10 ,87 ,38 ,26 ,75 ,54 , 7 ,91 ,42 ,23 ,70 ,58 ,11 ,86 ,39 ,27 ,74 ,55 ) ];68 ]:=1 ,74 ,53 ,18 ,81 ,46 ,13 ,70 ,60 ,31 ,93 ,35 , 2 ,73 ,54 ,17 ,82 ,45 ,14 ,69 ,59 ,32 ,94 ,36 )3 ,76 ,55 ,20 ,83 ,48 ,15 ,72 ,58 ,29 ,95 ,33 , 4 ,75 ,56 ,19 ,84 ,47 ,16 ,71 ,57 ,30 ,96 ,34 )5 ,78 ,49 ,22 ,85 ,42 ,11 ,68 ,62 ,25 ,91 ,37 , 6 ,77 ,50 ,21 ,86 ,41 ,12 ,67 ,61 ,26 ,92 ,38 )7 ,80 ,51 ,24 ,87 ,44 , 9 ,66 ,64 ,27 ,89 ,39 , 8 ,79 ,52 ,23 ,88 ,43 ,10 ,65 ,63 ,28 ,90 ,40 )1 ,83 , 3 ,82 )( 2 ,84 , 4 ,81 )( 5 ,91 , 7 ,90 )( 6 ,92 , 8 ,89 )( 9 ,85 ,11 ,88 )10 ,86 ,12 ,87 )(13 ,93 ,15 ,96 )(14 ,94 ,16 ,95 )(17 ,67 ,19 ,66 )(18 ,68 ,20 ,65 )21 ,74 ,23 ,75 )(22 ,73 ,24 ,76 )(25 ,71 ,27 ,70 )(26 ,72 ,28 ,69 )(29 ,78 ,31 ,79 )30 ,77 ,32 ,80 )(33 ,52 ,34 ,51 )(35 ,49 ,36 ,50 )(37 ,60 ,38 ,59 )(39 ,57 ,40 ,58 )41 ,54 ,42 ,53 )(43 ,55 ,44 ,56 )(45 ,62 ,46 ,61 )(47 ,63 ,48 ,64 ) ];69 ]:=2 , 13 , 91 , 31 , 3 , 16 , 94 , 28 )( 4 , 82 ,148 , 23 , 8 , 86 ,146 , 19 )5 , 83 ,145 , 20 , 7 , 85 ,149 , 22 )( 6 , 84 ,151 , 26 , 9 , 87 ,152 , 25 )10 , 88 ,150 , 24 , 11 , 89 ,147 , 21 )( 12 , 90 ,153 , 27 )( 14 , 92 ,155 , 33 , 18 ,96 ,156 , 29 )( 15 , 93 ,157 , 30 , 17 , 95 ,154 , 32 )( 34 ,103 ,262 ,173 , 53 ,119 ,269 ,159 )( 35 ,104 ,263 ,174 , 52 ,118 ,268 ,158 )( 36 ,105 ,264 ,175 , 54 ,120 ,270 ,160 )( 37 , 97 ,254 ,177 , 56 ,113 ,271 ,167 )( 38 , 98 ,253 ,176 , 55 ,112 ,272 ,168 )39 , 99 ,255 ,178 , 57 ,114 ,273 ,169 )( 40 ,106 ,256 ,170 , 47 ,116 ,275 ,162 )41 ,107 ,257 ,171 , 46 ,115 ,274 ,161 )( 42 ,108 ,258 ,172 , 48 ,117 ,276 ,163 )43 ,100 ,260 ,180 , 50 ,110 ,265 ,164 )( 44 ,101 ,259 ,179 , 49 ,109 ,266 ,165 )45 ,102 ,261 ,181 , 51 ,111 ,267 ,166 )( 58 ,127 ,286 ,185 , 65 ,131 ,281 ,183 )59 ,128 ,287 ,186 , 64 ,130 ,280 ,182 )( 60 ,129 ,288 ,187 , 66 ,132 ,282 ,184 )61 ,121 ,278 ,189 , 68 ,125 ,283 ,191 )( 62 ,122 ,277 ,188 , 67 ,124 ,284 ,192 )63 ,123 ,279 ,190 , 69 ,126 ,285 ,193 )( 70 ,133 , 73 ,139 , 79 ,142 , 76 ,136 )71 ,134 ,291 ,199 , 81 ,144 ,294 ,196 )( 72 ,135 ,292 ,198 , 80 ,143 ,293 ,197 )74 ,140 ,295 ,201 , 78 ,138 ,290 ,194 )( 75 ,141 ,296 ,200 , 77 ,137 ,289 ,195 )202 ,205 ,298 ,367 ,391 ,343 ,216 ,203 )(204 ,208 ,301 ,369 ,415 ,399 ,345 ,219 )206 ,297 ,225 ,308 ,335 ,226 ,307 ,215 )(207 ,299 ,368 ,393 ,351 ,236 ,310 ,218 )209 ,300 ,228 ,318 ,375 ,392 ,344 ,217 )(210 ,302 ,370 ,417 ,423 ,400 ,346 ,220 )211 ,305 ,373 ,441 ,450 ,403 ,349 ,223 )(212 ,306 ,374 ,442 ,448 ,401 ,347 ,221 )213 ,303 ,371 ,439 ,449 ,404 ,350 ,224 )(214 ,304 ,372 ,440 ,447 ,402 ,348 ,222 )227 ,309 ,337 ,229 ,317 ,235 ,311 ,336 )(230 ,319 ,376 ,394 ,352 ,237 ,312 ,338 )231 ,329 ,380 ,398 ,362 ,240 ,313 ,339 )(232 ,330 ,379 ,396 ,360 ,238 ,315 ,340 )233 ,327 ,378 ,397 ,361 ,241 ,314 ,341 )(234 ,328 ,377 ,395 ,359 ,239 ,316 ,342 )242 ,321 ,381 ,416 ,405 ,353 ,243 ,320 )(244 ,322 ,382 ,418 ,429 ,424 ,406 ,354 )245 ,333 ,390 ,422 ,458 ,452 ,411 ,355 )(246 ,334 ,389 ,420 ,456 ,451 ,412 ,356 )247 ,331 ,388 ,421 ,457 ,454 ,413 ,357 )(248 ,332 ,387 ,419 ,455 ,453 ,414 ,358 )249 ,325 ,385 ,445 ,466 ,427 ,408 ,364 )(250 ,326 ,386 ,446 ,464 ,425 ,407 ,363 )251 ,323 ,383 ,443 ,465 ,428 ,410 ,366 )(252 ,324 ,384 ,444 ,463 ,426 ,409 ,365 )431 ,459 ,469 ,438 ,434 ,462 ,468 ,435 )(432 ,460 ,467 ,436 ,433 ,461 ,470 ,437 )471 ,473 ,481 ,485 ,486 ,484 ,476 ,472 )(474 ,479 ,477 ,482 ,483 ,478 ,480 ,475 ), 1 , 19 , 4 )( 2 , 20 , 6 )( 3 , 21 , 5 )( 7 , 28 , 40 )( 8 , 30 , 42 )9 , 29 , 41 )( 10 , 31 , 34 )( 11 , 33 , 36 )( 12 , 32 , 35 )( 13 , 25 , 43 )14 , 26 , 45 )( 15 , 27 , 44 )( 16 , 22 , 37 )( 17 , 23 , 39 )( 18 , 24 , 38 )46 , 61 , 79 )( 47 , 63 , 80 )( 48 , 62 , 81 )( 49 , 76 , 52 )( 50 , 78 , 54 )51 , 77 , 53 )( 55 , 70 , 64 )( 56 , 72 , 66 )( 57 , 71 , 65 )( 58 , 67 , 73 )59 , 69 , 74 )( 60 , 68 , 75 )( 82 ,146 ,204 )( 83 ,147 ,202 )( 84 ,145 ,203 )85 ,162 ,210 )( 86 ,163 ,208 )( 87 ,161 ,209 )( 88 ,159 ,207 )( 89 ,160 ,205 )90 ,158 ,206 )( 91 ,164 ,103 )( 92 ,166 ,212 )( 93 ,165 ,211 )( 94 ,167 ,106 )95 ,169 ,214 )( 96 ,168 ,213 )( 97 ,149 ,220 )( 98 ,150 ,218 )( 99 ,148 ,219 )100 ,152 ,217 )(101 ,153 ,215 )(102 ,151 ,216 )(104 ,154 ,222 )(105 ,155 ,221 )107 ,156 ,224 )(108 ,157 ,223 )(109 ,174 ,244 )(110 ,175 ,242 )(111 ,173 ,243 )112 ,186 ,237 )(113 ,187 ,235 )(114 ,185 ,236 )(115 ,139 ,188 )(116 ,198 ,246 )117 ,199 ,245 )(118 ,142 ,191 )(119 ,200 ,248 )(120 ,201 ,247 )(121 ,171 ,230 )122 ,172 ,228 )(123 ,170 ,229 )(124 ,183 ,227 )(125 ,184 ,225 )(126 ,182 ,226 )127 ,133 ,176 )(128 ,194 ,232 )(129 ,195 ,231 )(130 ,136 ,179 )(131 ,196 ,234 )132 ,197 ,233 )(134 ,178 ,250 )(135 ,177 ,249 )(137 ,181 ,252 )(138 ,180 ,251 )140 ,190 ,239 )(141 ,189 ,238 )(143 ,193 ,241 )(144 ,192 ,240 )(253 ,310 ,286 )254 ,346 ,325 )(255 ,345 ,326 )(256 ,271 ,317 )(257 ,350 ,319 )(258 ,349 ,318 )259 ,307 ,280 )(260 ,344 ,323 )(261 ,343 ,324 )(262 ,265 ,320 )(263 ,348 ,322 )264 ,347 ,321 )(266 ,354 ,305 )(267 ,353 ,306 )(268 ,283 ,297 )(269 ,358 ,299 )270 ,357 ,298 )(272 ,352 ,303 )(273 ,351 ,304 )(274 ,277 ,300 )(275 ,356 ,302 )276 ,355 ,301 )(278 ,338 ,315 )(279 ,337 ,316 )(281 ,342 ,309 )(282 ,341 ,308 )284 ,336 ,313 )(285 ,335 ,314 )(287 ,340 ,312 )(288 ,339 ,311 )(289 ,365 ,329 )290 ,366 ,330 )(291 ,363 ,333 )(292 ,364 ,334 )(293 ,361 ,327 )(294 ,362 ,328 )295 ,359 ,331 )(296 ,360 ,332 )(367 ,413 ,432 )(368 ,414 ,431 )(369 ,411 ,420 )370 ,412 ,419 )(371 ,394 ,436 )(372 ,393 ,435 )(373 ,406 ,426 )(374 ,405 ,425 )375 ,403 ,434 )(376 ,404 ,433 )(377 ,398 ,429 )(378 ,397 ,430 )(379 ,410 ,423 )380 ,409 ,424 )(381 ,401 ,422 )(382 ,402 ,421 )(383 ,392 ,438 )(384 ,391 ,437 )385 ,400 ,428 )(386 ,399 ,427 )(387 ,396 ,417 )(388 ,395 ,418 )(389 ,408 ,415 )390 ,407 ,416 )(439 ,467 ,477 )(440 ,468 ,478 )(441 ,463 ,475 )(442 ,464 ,476 )443 ,469 ,473 )(444 ,470 ,474 )(445 ,465 ,471 )(446 ,466 ,472 )(447 ,483 ,457 )448 ,484 ,458 )(449 ,479 ,461 )(450 ,480 ,462 )(451 ,485 ,455 )(452 ,486 ,456 )453 ,481 ,459 )(454 ,482 ,460 ), ( 2 , 3 )( 4 , 19 )( 5 , 20 )( 6 , 21 )( 7 , 22 )8 , 23 )( 9 , 24 )( 10 , 25 )( 11 , 26 )( 12 , 27 )( 13 , 31 )( 14 , 33 )( 15 , 32 )16 , 28 )( 17 , 30 )( 18 , 29 )( 34 , 43 )( 35 , 44 )( 36 , 45 )( 37 , 40 )( 38 , 41 )39 , 42 )( 46 , 55 )( 47 , 56 )( 48 , 57 )( 49 , 52 )( 50 , 53 )( 51 , 54 )( 58 , 67 )59 , 68 )( 60 , 69 )( 61 , 64 )( 62 , 65 )( 63 , 66 )( 70 , 79 )( 71 , 81 )( 72 , 80 )74 , 75 )( 77 , 78 )( 82 ,146 )( 83 ,145 )( 84 ,147 )( 85 ,149 )( 86 ,148 )( 87 ,150 )88 ,152 )( 89 ,151 )( 90 ,153 )( 92 ,155 )( 93 ,154 )( 95 ,157 )( 96 ,156 )( 97 ,162 )98 ,161 )( 99 ,163 )(100 ,159 )(101 ,158 )(102 ,160 )(103 ,164 )(104 ,165 )(105 ,166 )106 ,167 )(107 ,168 )(108 ,169 )(109 ,174 )(110 ,173 )(111 ,175 )(112 ,171 )(113 ,170 )114 ,172 )(115 ,176 )(116 ,177 )(117 ,178 )(118 ,179 )(119 ,180 )(120 ,181 )(121 ,186 )122 ,185 )(123 ,187 )(124 ,183 )(125 ,182 )(126 ,184 )(127 ,188 )(128 ,189 )(129 ,190 )130 ,191 )(131 ,192 )(132 ,193 )(133 ,139 )(134 ,199 )(135 ,198 )(136 ,142 )(137 ,201 )138 ,200 )(140 ,195 )(141 ,194 )(143 ,197 )(144 ,196 )(202 ,203 )(205 ,216 )(206 ,215 )207 ,217 )(208 ,219 )(209 ,218 )(210 ,220 )(211 ,222 )(212 ,221 )(213 ,224 )(214 ,223 )225 ,226 )(228 ,236 )(229 ,235 )(230 ,237 )(231 ,239 )(232 ,238 )(233 ,241 )(234 ,240 )242 ,243 )(245 ,250 )(246 ,249 )(247 ,252 )(248 ,251 )(253 ,274 )(254 ,275 )(255 ,276 )256 ,271 )(257 ,272 )(258 ,273 )(259 ,268 )(260 ,269 )(261 ,270 )(262 ,265 )(263 ,266 )264 ,267 )(277 ,286 )(278 ,287 )(279 ,288 )(280 ,283 )(281 ,284 )(282 ,285 )(289 ,295 )290 ,296 )(297 ,307 )(298 ,343 )(299 ,344 )(300 ,310 )(301 ,345 )(302 ,346 )(303 ,350 )304 ,349 )(305 ,348 )(306 ,347 )(308 ,335 )(309 ,336 )(311 ,337 )(312 ,338 )(313 ,342 )314 ,341 )(315 ,340 )(316 ,339 )(318 ,351 )(319 ,352 )(321 ,353 )(322 ,354 )(323 ,358 )324 ,357 )(325 ,356 )(326 ,355 )(327 ,361 )(328 ,362 )(329 ,359 )(330 ,360 )(331 ,365 )332 ,366 )(333 ,363 )(334 ,364 )(367 ,391 )(368 ,392 )(369 ,399 )(370 ,400 )(371 ,404 )372 ,403 )(373 ,402 )(374 ,401 )(375 ,393 )(376 ,394 )(377 ,398 )(378 ,397 )(379 ,396 )380 ,395 )(381 ,405 )(382 ,406 )(383 ,414 )(384 ,413 )(385 ,412 )(386 ,411 )(387 ,410 )388 ,409 )(389 ,408 )(390 ,407 )(417 ,423 )(418 ,424 )(419 ,428 )(420 ,427 )(421 ,426 )422 ,425 )(431 ,438 )(432 ,437 )(433 ,436 )(434 ,435 )(439 ,449 )(440 ,450 )(441 ,447 )442 ,448 )(443 ,453 )(444 ,454 )(445 ,451 )(446 ,452 )(455 ,465 )(456 ,466 )(457 ,463 )458 ,464 )(459 ,469 )(460 ,470 )(461 ,467 )(462 ,468 )(471 ,485 )(472 ,486 )(473 ,481 )474 ,482 )(475 ,483 )(476 ,484 )(477 ,479 )(478 ,480 ) ];70 ]:=1 ,110 , 41 ,160 , 16 ,125 , 48 ,138 , 26 ,131 , 33 ,148 )( 2 ,114 , 45 ,155 , 18 ,126 ,47 ,143 , 22 ,127 , 31 ,149 )( 3 ,115 , 43 ,159 , 14 ,120 , 46 ,144 , 24 ,130 , 35 ,145 4 ,109 , 40 ,158 , 11 ,123 , 54 ,137 , 27 ,135 , 29 ,152 )( 5 ,111 , 37 ,162 , 15 ,121 , 53 ,136 , 21 ,133 , 34 ,150 )( 6 ,112 , 44 ,154 , 12 ,124 , 52 ,141 , 23 ,129 ,28 ,153 )( 7 ,116 , 39 ,156 , 17 ,122 , 51 ,139 , 19 ,128 , 32 ,151 )8 ,113 , 42 ,157 , 10 ,119 , 50 ,142 , 25 ,134 , 30 ,147 )( 9 ,117 , 38 ,161 , 13 ,118 , 49 ,140 , 20 ,132 , 36 ,146 )( 55 , 58 , 60 , 56 )( 57 , 59 , 62 , 61 )64 , 67 , 69 , 65 )( 66 , 68 , 71 , 70 )( 73 , 76 , 78 , 74 )( 75 , 77 , 80 , 79 )82 ,107 , 92 , 90 ,100 , 98 , 83 ,108 , 91 , 89 ,101 , 99 )( 84 ,102 , 93 )85 ,105 , 97 , 86 ,103 , 96 , 88 ,104 , 94 , 87 ,106 , 95 ), 1 ,109 , 55 )( 2 ,110 , 56 )( 3 ,111 , 57 )( 4 ,112 , 58 )( 5 ,113 , 59 )6 ,114 , 60 )( 7 ,115 , 61 )( 8 ,116 , 62 )( 9 ,117 , 63 )( 10 ,118 , 64 )11 ,119 , 65 )( 12 ,120 , 66 )( 13 ,121 , 67 )( 14 ,122 , 68 )( 15 ,123 , 69 )16 ,124 , 70 )( 17 ,125 , 71 )( 18 ,126 , 72 )( 19 ,127 , 73 )( 20 ,128 , 74 )21 ,129 , 75 )( 22 ,130 , 76 )( 23 ,131 , 77 )( 24 ,132 , 78 )( 25 ,133 , 79 )26 ,134 , 80 )( 27 ,135 , 81 )( 28 ,136 , 82 )( 29 ,137 , 83 )( 30 ,138 , 84 )31 ,139 , 85 )( 32 ,140 , 86 )( 33 ,141 , 87 )( 34 ,142 , 88 )( 35 ,143 , 89 )36 ,144 , 90 )( 37 ,145 , 91 )( 38 ,146 , 92 )( 39 ,147 , 93 )( 40 ,148 , 94 )41 ,149 , 95 )( 42 ,150 , 96 )( 43 ,151 , 97 )( 44 ,152 , 98 )( 45 ,153 , 99 )46 ,154 ,100 )( 47 ,155 ,101 )( 48 ,156 ,102 )( 49 ,157 ,103 )( 50 ,158 ,104 )51 ,159 ,105 )( 52 ,160 ,106 )( 53 ,161 ,107 )( 54 ,162 ,108 ), 1 ,110 )( 2 ,109 )( 3 ,111 )( 4 ,114 )( 5 ,115 )( 6 ,112 )( 7 ,113 )( 8 ,116 )9 ,117 )( 10 ,128 )( 11 ,127 )( 12 ,129 )( 13 ,132 )( 14 ,133 )( 15 ,130 )( 16 ,131 )17 ,134 )( 18 ,135 )( 19 ,119 )( 20 ,118 )( 21 ,120 )( 22 ,123 )( 23 ,124 )( 24 ,121 )25 ,122 )( 26 ,125 )( 27 ,126 )( 28 ,154 )( 29 ,155 )( 30 ,156 )( 31 ,158 )( 32 ,157 )33 ,160 )( 34 ,159 )( 35 ,162 )( 36 ,161 )( 37 ,145 )( 38 ,146 )( 39 ,147 )( 40 ,149 )41 ,148 )( 42 ,151 )( 43 ,150 )( 44 ,153 )( 45 ,152 )( 46 ,136 )( 47 ,137 )( 48 ,138 )49 ,140 )( 50 ,139 )( 51 ,142 )( 52 ,141 )( 53 ,144 )( 54 ,143 )( 55 , 56 )( 58 , 60 )59 , 61 )( 64 , 74 )( 65 , 73 )( 66 , 75 )( 67 , 78 )( 68 , 79 )( 69 , 76 )( 70 , 77 )71 , 80 )( 72 , 81 )( 82 ,100 )( 83 ,101 )( 84 ,102 )( 85 ,104 )( 86 ,103 )( 87 ,106 )88 ,105 )( 89 ,108 )( 90 ,107 )( 94 , 95 )( 96 , 97 )( 98 , 99 ) ];71 ]:=3 , 5 )( 4 , 6 )( 7 , 25 , 19 , 17 , 51 , 41 )( 8 , 26 , 20 , 18 , 52 , 42 )9 , 29 , 21 , 15 , 53 , 39 )( 10 , 30 , 22 , 16 , 54 , 40 )( 11 , 27 , 23 , 13 , 49 ,37 )( 12 , 28 , 24 , 14 , 50 , 38 )( 31 , 43 , 35 , 45 , 33 , 47 )( 32 , 44 , 36 , 46 ,34 , 48 )( 55 ,130 , 84 ,123 , 75 ,110 , 56 ,129 , 83 ,124 , 76 ,109 )57 ,128 , 80 ,121 , 77 ,114 , 58 ,127 , 79 ,122 , 78 ,113 )( 59 ,132 , 82 ,125 , 73 ,112 , 60 ,131 , 81 ,126 , 74 ,111 )( 61 ,140 ,102 ,157 , 67 ,134 , 62 ,139 ,101 ,158 ,68 ,133 )( 63 ,144 , 98 ,161 , 69 ,138 , 64 ,143 , 97 ,162 , 70 ,137 )65 ,142 ,100 ,159 , 71 ,136 , 66 ,141 , 99 ,160 , 72 ,135 )( 85 ,116 , 96 ,147 ,107 ,152 , 86 ,115 , 95 ,148 ,108 ,151 )( 87 ,120 , 92 ,145 ,103 ,156 , 88 ,119 , 91 ,146 ,104 ,155 )( 89 ,118 , 94 ,149 ,105 ,154 , 90 ,117 , 93 ,150 ,106 ,153 ), 1 ,109 , 55 )( 2 ,110 , 56 )( 3 ,111 , 57 )( 4 ,112 , 58 )( 5 ,113 , 59 )6 ,114 , 60 )( 7 ,115 , 61 )( 8 ,116 , 62 )( 9 ,117 , 63 )( 10 ,118 , 64 )11 ,119 , 65 )( 12 ,120 , 66 )( 13 ,121 , 67 )( 14 ,122 , 68 )( 15 ,123 , 69 )16 ,124 , 70 )( 17 ,125 , 71 )( 18 ,126 , 72 )( 19 ,127 , 73 )( 20 ,128 , 74 )21 ,129 , 75 )( 22 ,130 , 76 )( 23 ,131 , 77 )( 24 ,132 , 78 )( 25 ,133 , 79 )26 ,134 , 80 )( 27 ,135 , 81 )( 28 ,136 , 82 )( 29 ,137 , 83 )( 30 ,138 , 84 )31 ,139 , 85 )( 32 ,140 , 86 )( 33 ,141 , 87 )( 34 ,142 , 88 )( 35 ,143 , 89 )36 ,144 , 90 )( 37 ,145 , 91 )( 38 ,146 , 92 )( 39 ,147 , 93 )( 40 ,148 , 94 )41 ,149 , 95 )( 42 ,150 , 96 )( 43 ,151 , 97 )( 44 ,152 , 98 )( 45 ,153 , 99 )46 ,154 ,100 )( 47 ,155 ,101 )( 48 ,156 ,102 )( 49 ,157 ,103 )( 50 ,158 ,104 )51 ,159 ,105 )( 52 ,160 ,106 )( 53 ,161 ,107 )( 54 ,162 ,108 ), 7 , 51 )( 8 , 52 )( 9 , 53 )( 10 , 54 )( 11 , 49 )( 12 , 50 )( 13 , 27 )( 14 , 28 )15 , 29 )( 16 , 30 )( 17 , 25 )( 18 , 26 )( 31 , 45 )( 32 , 46 )( 33 , 47 )( 34 , 48 )35 , 43 )( 36 , 44 )( 55 ,109 )( 56 ,110 )( 57 ,111 )( 58 ,112 )( 59 ,113 )( 60 ,114 )61 ,159 )( 62 ,160 )( 63 ,161 )( 64 ,162 )( 65 ,157 )( 66 ,158 )( 67 ,135 )( 68 ,136 )69 ,137 )( 70 ,138 )( 71 ,133 )( 72 ,134 )( 73 ,127 )( 74 ,128 )( 75 ,129 )( 76 ,130 )77 ,131 )( 78 ,132 )( 79 ,125 )( 80 ,126 )( 81 ,121 )( 82 ,122 )( 83 ,123 )( 84 ,124 )85 ,153 )( 86 ,154 )( 87 ,155 )( 88 ,156 )( 89 ,151 )( 90 ,152 )( 91 ,145 )( 92 ,146 )93 ,147 )( 94 ,148 )( 95 ,149 )( 96 ,150 )( 97 ,143 )( 98 ,144 )( 99 ,139 )(100 ,140 )101 ,141 )(102 ,142 )(103 ,119 )(104 ,120 )(105 ,115 )(106 ,116 )(107 ,117 )(108 ,118 ) 72 ]:=1 ,38 ,70 ,12 ,30 ,79 , 3 ,37 ,72 ,11 ,29 ,81 , 2 ,39 ,71 ,10 ,28 ,80 )( 4 ,44 ,64 ,18 ,33 ,76 ,6 ,43 ,66 ,17 ,32 ,78 , 5 ,45 ,65 ,16 ,31 ,77 )( 7 ,41 ,67 ,15 ,36 ,73 , 9 ,40 ,69 ,14 ,35 ,75 , 8 ,42 ,68 ,13 ,34 ,74 )(19 ,54 ,57 ,26 ,46 ,61 ,21 ,53 ,56 ,25 ,48 ,63 ,20 ,52 ,55 ,27 ,47 ,62 )(22 ,51 ,60 ,23 ,49 ,58 ,24 ,50 ,59 ), 1 ,46 ,25 ,38 ,16 ,30 , 7 ,52 ,22 ,44 ,13 ,36 , 4 ,49 ,19 ,41 ,10 ,33 )( 2 ,48 ,26 ,37 ,17 ,29 ,8 ,54 ,23 ,43 ,14 ,35 , 5 ,51 ,20 ,40 ,11 ,32 )( 3 ,47 ,27 ,39 ,18 ,28 , 9 ,53 ,24 ,45 ,15 ,34 , 6 ,50 ,21 ,42 ,12 ,31 )(55 ,66 ,75 ,59 ,68 ,76 ,61 ,72 ,81 ,56 ,65 ,73 ,58 ,69 ,78 ,62 ,71 ,79 )(57 ,64 ,74 ,60 ,67 ,77 ,63 ,70 ,80 ) ];73 ]:=1 ,47 ,10 ,33 ,17 ,34 ,25 ,36 ,27 ,54 ,26 ,42 ,22 ,38 , 6 ,37 , 2 ,43 )( 3 ,51 ,11 ,49 ,16 ,29 ,21 ,32 , 9 ,52 ,15 ,53 ,18 ,40 ,20 ,28 , 7 ,44 )( 4 ,39 ,12 ,31 , 5 ,48 ,14 ,35 ,19 ,50 ,24 ,30 ,23 ,46 , 8 ,41 ,13 ,45 )(55 ,70 ,76 ,69 ,79 ,61 )(56 ,64 ,74 ,67 ,68 ,75 )57 ,71 ,60 ,65 ,78 ,77 )(58 ,72 ,80 ,81 ,63 ,59 )(62 ,73 ), 1 ,55 ,28 )( 2 ,56 ,29 )( 3 ,57 ,30 )( 4 ,58 ,31 )( 5 ,59 ,32 )( 6 ,60 ,33 )( 7 ,61 ,34 )8 ,62 ,35 )( 9 ,63 ,36 )(10 ,64 ,37 )(11 ,65 ,38 )(12 ,66 ,39 )(13 ,67 ,40 )(14 ,68 ,41 )15 ,69 ,42 )(16 ,70 ,43 )(17 ,71 ,44 )(18 ,72 ,45 )(19 ,73 ,46 )(20 ,74 ,47 )(21 ,75 ,48 )22 ,76 ,49 )(23 ,77 ,50 )(24 ,78 ,51 )(25 ,79 ,52 )(26 ,80 ,53 )(27 ,81 ,54 ), 1 ,43 )( 2 ,47 )( 3 ,51 )( 4 ,31 )( 5 ,45 )( 6 ,33 )( 7 ,49 )( 8 ,35 )( 9 ,53 )(10 ,37 )11 ,44 )(12 ,39 )(13 ,48 )(14 ,41 )(15 ,52 )(16 ,28 )(17 ,38 )(18 ,32 )(19 ,46 )(20 ,29 )21 ,40 )(22 ,34 )(23 ,50 )(24 ,30 )(25 ,42 )(26 ,36 )(27 ,54 )(55 ,70 )(56 ,74 )(57 ,78 )59 ,72 )(61 ,76 )(63 ,80 )(65 ,71 )(67 ,75 )(69 ,79 ) ];74 ]:=1 ,58 ,30 ,39 ,68 ,79 ,78 ,31 ,57 ,48 ,41 ,76 ,81 ,72 ,53 ,19 ,49 , 2 )( 3 ,36 ,27 ,40 ,18 ,50 )4 ,60 , 7 ,61 ,73 ,69 )( 5 , 9 ,35 ,63 ,75 ,65 ,11 ,20 ,54 ,24 ,17 ,67 ,28 ,13 ,62 ,74 ,66 ,43 6 , 8 ,56 ,51 ,23 ,45 ,25 ,15 ,55 ,59 ,47 ,70 ,14 ,21 ,33 ,29 ,37 ,46 )(10 ,71 )12 ,16 ,44 ,42 ,34 ,32 )(22 ,64 ,26 ,38 ,80 ,52 ), 1 ,58 ,10 ,53 ,19 ,60 , 9 ,55 ,42 ,63 ,37 ,50 , 8 ,62 ,44 ,59 ,66 ,69 )( 2 , 4 ,49 , 5 , 7 ,70 ,14 ,80 ,67 ,76 ,27 ,68 ,11 ,26 ,45 ,25 ,73 ,43 )( 3 ,65 ,79 ,22 ,41 ,28 ,18 ,46 , 6 )12 ,29 ,75 ,36 ,81 ,72 ,71 ,30 ,39 ,40 ,13 ,56 ,32 ,24 ,23 ,38 ,21 ,54 )(15 ,35 ,34 ,51 ,17 ,52 ,78 ,31 ,77 ,57 ,48 ,64 ,20 ,33 ,16 ,74 ,47 ,61 ) ];75 ]:=1 , 3 )( 2 , 4 )( 5 ,500 , 16 ,458 , 36 ,318 , 40 ,454 )( 6 ,499 , 15 ,457 , 35 ,317 , 39 ,453 )( 7 ,498 , 14 ,460 , 34 ,320 , 38 ,456 )( 8 ,497 , 13 ,459 , 33 ,319 ,37 ,455 )( 9 ,495 , 21 ,327 , 53 ,391 , 20 ,491 )( 10 ,496 , 22 ,328 , 54 ,392 , 19 ,492 )( 11 ,493 , 23 ,325 , 55 ,389 , 18 ,489 )( 12 ,494 , 24 ,326 , 56 ,390 , 17 ,490 )25 , 42 , 61 , 86 ,113 ,119 , 92 , 30 )( 26 , 41 , 62 , 85 ,114 ,120 , 91 , 29 )27 , 44 , 63 , 88 ,115 ,117 , 90 , 32 )( 28 , 43 , 64 , 87 ,116 ,118 , 89 , 31 )45 ,428 , 93 ,480 ,181 ,388 ,137 ,324 )( 46 ,427 , 94 ,479 ,182 ,387 ,138 ,323 )47 ,426 , 95 ,478 ,183 ,386 ,139 ,322 )( 48 ,425 , 96 ,477 ,184 ,385 ,140 ,321 )49 ,396 , 65 ,464 ,129 ,444 ,221 ,272 )( 50 ,395 , 66 ,463 ,130 ,443 ,222 ,271 )51 ,394 , 67 ,462 ,131 ,442 ,223 ,270 )( 52 ,393 , 68 ,461 ,132 ,441 ,224 ,269 )57 ,264 ,101 ,312 ,217 ,440 ,133 ,420 )( 58 ,263 ,102 ,311 ,218 ,439 ,134 ,419 )59 ,262 ,103 ,310 ,219 ,438 ,135 ,418 )( 60 ,261 ,104 ,309 ,220 ,437 ,136 ,417 )69 , 98 ,141 ,202 ,265 ,206 ,145 , 78 )( 70 , 97 ,142 ,201 ,266 ,205 ,146 , 77 )71 ,100 ,143 ,204 ,267 ,208 ,147 , 80 )( 72 , 99 ,144 ,203 ,268 ,207 ,148 , 79 )73 ,256 ,149 ,384 ,185 ,424 , 84 ,452 )( 74 ,255 ,150 ,383 ,186 ,423 , 83 ,451 )75 ,254 ,151 ,382 ,187 ,422 , 82 ,450 )( 76 ,253 ,152 ,381 ,188 ,421 , 81 ,449 )105 ,370 ,225 ,290 ,337 ,122 ,293 ,234 )(106 ,369 ,226 ,289 ,338 ,121 ,294 ,233 )107 ,372 ,227 ,292 ,339 ,124 ,295 ,236 )(108 ,371 ,228 ,291 ,340 ,123 ,296 ,235 )109 ,306 ,153 ,342 ,285 ,127 ,373 ,162 )(110 ,305 ,154 ,341 ,286 ,128 ,374 ,161 )111 ,308 ,155 ,344 ,287 ,125 ,375 ,164 )(112 ,307 ,156 ,343 ,288 ,126 ,376 ,163 )157 ,169 ,297 ,167 ,303 ,231 ,238 ,359 )(158 ,170 ,298 ,168 ,304 ,232 ,237 ,360 )159 ,171 ,299 ,165 ,301 ,229 ,240 ,357 )(160 ,172 ,300 ,166 ,302 ,230 ,239 ,358 )173 ,242 ,283 ,189 ,246 ,274 ,278 ,178 )(174 ,241 ,284 ,190 ,245 ,273 ,277 ,177 )175 ,244 ,281 ,191 ,248 ,276 ,280 ,180 )(176 ,243 ,282 ,192 ,247 ,275 ,279 ,179 )193 ,315 ,214 ,200 ,258 ,252 ,377 ,211 )(194 ,316 ,213 ,199 ,257 ,251 ,378 ,212 )195 ,313 ,216 ,198 ,260 ,250 ,379 ,209 )(196 ,314 ,215 ,197 ,259 ,249 ,380 ,210 )329 ,334 ,402 ,345 )(330 ,333 ,401 ,346 )(331 ,336 ,404 ,347 )(332 ,335 ,403 ,348 )349 ,414 ,469 ,488 ,483 ,368 ,363 ,354 )(350 ,413 ,470 ,487 ,484 ,367 ,364 ,353 )351 ,416 ,471 ,486 ,481 ,366 ,361 ,356 )(352 ,415 ,472 ,485 ,482 ,365 ,362 ,355 )397 ,409 ,466 ,433 ,430 ,446 ,473 ,406 )(398 ,410 ,465 ,434 ,429 ,445 ,474 ,405 )399 ,411 ,468 ,435 ,432 ,448 ,475 ,408 )(400 ,412 ,467 ,436 ,431 ,447 ,476 ,407 )501 ,504 )(502 ,503 ), ( 1 , 35 ,319 )( 2 , 36 ,320 )( 3 , 33 ,317 )( 4 , 34 ,318 )5 ,478 ,267 )( 6 ,477 ,268 )( 7 ,480 ,265 )( 8 ,479 ,266 )( 9 , 79 ,440 )10 , 80 ,439 )( 11 , 77 ,438 )( 12 , 78 ,437 )( 13 ,383 ,118 )( 14 ,384 ,117 )15 ,381 ,120 )( 16 ,382 ,119 )( 17 ,364 ,441 )( 18 ,363 ,442 )( 19 ,362 ,443 )20 ,361 ,444 )( 21 ,353 ,390 )( 22 ,354 ,389 )( 23 ,355 ,392 )( 24 ,356 ,391 )25 ,358 ,239 )( 26 ,357 ,240 )( 27 ,360 ,237 )( 28 ,359 ,238 )( 29 ,286 ,159 )30 ,285 ,160 )( 31 ,288 ,157 )( 32 ,287 ,158 )( 37 ,457 ,114 )( 38 ,458 ,113 )39 ,459 ,116 )( 40 ,460 ,115 )( 41 ,229 ,227 )( 42 ,230 ,228 )( 43 ,231 ,225 )44 ,232 ,226 )( 45 ,324 ,190 )( 46 ,323 ,189 )( 47 ,322 ,192 )( 48 ,321 ,191 )49 ,467 ,395 )( 50 ,468 ,396 )( 51 ,465 ,393 )( 52 ,466 ,394 )( 53 ,501 ,326 )54 ,502 ,325 )( 55 ,503 ,328 )( 56 ,504 ,327 )( 57 ,407 ,263 )( 58 ,408 ,264 )59 ,405 ,261 )( 60 ,406 ,262 )( 61 ,371 ,388 )( 62 ,372 ,387 )( 63 ,369 ,386 )64 ,370 ,385 )( 65 ,411 ,252 )( 66 ,412 ,251 )( 67 ,409 ,250 )( 68 ,410 ,249 )69 ,490 ,132 )( 70 ,489 ,131 )( 71 ,492 ,130 )( 72 ,491 ,129 )( 73 ,452 ,173 )74 ,451 ,174 )( 75 ,450 ,175 )( 76 ,449 ,176 )( 81 ,214 ,243 )( 82 ,213 ,244 )83 ,216 ,241 )( 84 ,215 ,242 )( 85 ,182 ,455 )( 86 ,181 ,456 )( 87 ,184 ,453 )88 ,183 ,454 )( 89 ,150 ,126 )( 90 ,149 ,125 )( 91 ,152 ,128 )( 92 ,151 ,127 )93 ,195 ,206 )( 94 ,196 ,205 )( 95 ,193 ,208 )( 96 ,194 ,207 )( 97 ,462 ,260 )98 ,461 ,259 )( 99 ,464 ,258 )(100 ,463 ,257 )(101 ,475 ,123 )(102 ,476 ,124 )103 ,473 ,121 )(104 ,474 ,122 )(105 ,248 ,140 )(106 ,247 ,139 )(107 ,246 ,138 )108 ,245 ,137 )(109 ,346 ,429 )(110 ,345 ,430 )(111 ,348 ,431 )(112 ,347 ,432 )133 ,148 ,212 )(134 ,147 ,211 )(135 ,146 ,210 )(136 ,145 ,209 )(141 ,197 ,424 )142 ,198 ,423 )(143 ,199 ,422 )(144 ,200 ,421 )(153 ,223 ,368 )(154 ,224 ,367 )155 ,221 ,366 )(156 ,222 ,365 )(161 ,279 ,329 )(162 ,280 ,330 )(163 ,277 ,331 )164 ,278 ,332 )(165 ,300 ,488 )(166 ,299 ,487 )(167 ,298 ,486 )(168 ,297 ,485 )169 ,343 ,482 )(170 ,344 ,481 )(171 ,341 ,484 )(172 ,342 ,483 )(177 ,376 ,255 )178 ,375 ,256 )(179 ,374 ,253 )(180 ,373 ,254 )(185 ,498 ,202 )(186 ,497 ,201 )187 ,500 ,204 )(188 ,499 ,203 )(217 ,350 ,495 )(218 ,349 ,496 )(219 ,352 ,493 )220 ,351 ,494 )(233 ,334 ,275 )(234 ,333 ,276 )(235 ,336 ,273 )(236 ,335 ,274 )269 ,305 ,433 )(270 ,306 ,434 )(271 ,307 ,435 )(272 ,308 ,436 )(281 ,316 ,425 )282 ,315 ,426 )(283 ,314 ,427 )(284 ,313 ,428 )(289 ,304 ,472 )(290 ,303 ,471 )291 ,302 ,470 )(292 ,301 ,469 )(293 ,445 ,401 )(294 ,446 ,402 )(295 ,447 ,403 )296 ,448 ,404 )(309 ,337 ,416 )(310 ,338 ,415 )(311 ,339 ,414 )(312 ,340 ,413 )377 ,399 ,419 )(378 ,400 ,420 )(379 ,397 ,417 )(380 ,398 ,418 ), 1 , 3 )( 2 , 4 )( 5 ,500 )( 6 ,499 )( 7 ,498 )( 8 ,497 )( 9 ,491 )( 10 ,492 )11 ,489 )( 12 ,490 )( 13 ,455 )( 14 ,456 )( 15 ,453 )( 16 ,454 )( 17 ,494 )( 18 ,493 )19 ,496 )( 20 ,495 )( 21 ,391 )( 22 ,392 )( 23 ,389 )( 24 ,390 )( 25 , 27 )( 26 , 28 )29 , 43 )( 30 , 44 )( 31 , 41 )( 32 , 42 )( 33 ,319 )( 34 ,320 )( 35 ,317 )( 36 ,318 )37 ,459 )( 38 ,460 )( 39 ,457 )( 40 ,458 )( 45 ,452 )( 46 ,451 )( 47 ,450 )( 48 ,449 )49 ,264 )( 50 ,263 )( 51 ,262 )( 52 ,261 )( 53 ,327 )( 54 ,328 )( 55 ,325 )( 56 ,326 )57 ,396 )( 58 ,395 )( 59 ,394 )( 60 ,393 )( 61 , 90 )( 62 , 89 )( 63 , 92 )( 64 , 91 )65 ,420 )( 66 ,419 )( 67 ,418 )( 68 ,417 )( 69 , 78 )( 70 , 77 )( 71 , 80 )( 72 , 79 )73 ,324 )( 74 ,323 )( 75 ,322 )( 76 ,321 )( 81 ,425 )( 82 ,426 )( 83 ,427 )( 84 ,428 )85 ,118 )( 86 ,117 )( 87 ,120 )( 88 ,119 )( 93 ,424 )( 94 ,423 )( 95 ,422 )( 96 ,421 )97 ,146 )( 98 ,145 )( 99 ,148 )(100 ,147 )(101 ,272 )(102 ,271 )(103 ,270 )(104 ,269 )105 ,374 )(106 ,373 )(107 ,376 )(108 ,375 )(109 ,294 )(110 ,293 )(111 ,296 )(112 ,295 )113 ,115 )(114 ,116 )(121 ,306 )(122 ,305 )(123 ,308 )(124 ,307 )(125 ,371 )(126 ,372 )127 ,369 )(128 ,370 )(129 ,440 )(130 ,439 )(131 ,438 )(132 ,437 )(133 ,464 )(134 ,463 )135 ,462 )(136 ,461 )(137 ,256 )(138 ,255 )(139 ,254 )(140 ,253 )(141 ,206 )(142 ,205 )143 ,208 )(144 ,207 )(149 ,388 )(150 ,387 )(151 ,386 )(152 ,385 )(153 ,338 )(154 ,337 )155 ,340 )(156 ,339 )(157 ,229 )(158 ,230 )(159 ,231 )(160 ,232 )(161 ,234 )(162 ,233 )163 ,236 )(164 ,235 )(165 ,297 )(166 ,298 )(167 ,299 )(168 ,300 )(169 ,301 )(170 ,302 )171 ,303 )(172 ,304 )(173 ,190 )(174 ,189 )(175 ,192 )(176 ,191 )(177 ,246 )(178 ,245 )179 ,248 )(180 ,247 )(181 ,384 )(182 ,383 )(183 ,382 )(184 ,381 )(185 ,480 )(186 ,479 )187 ,478 )(188 ,477 )(193 ,199 )(194 ,200 )(195 ,197 )(196 ,198 )(201 ,266 )(202 ,265 )203 ,268 )(204 ,267 )(209 ,259 )(210 ,260 )(211 ,257 )(212 ,258 )(213 ,315 )(214 ,316 )215 ,313 )(216 ,314 )(217 ,444 )(218 ,443 )(219 ,442 )(220 ,441 )(221 ,312 )(222 ,311 )223 ,310 )(224 ,309 )(225 ,286 )(226 ,285 )(227 ,288 )(228 ,287 )(237 ,358 )(238 ,357 )239 ,360 )(240 ,359 )(241 ,283 )(242 ,284 )(243 ,281 )(244 ,282 )(249 ,379 )(250 ,380 )251 ,377 )(252 ,378 )(273 ,278 )(274 ,277 )(275 ,280 )(276 ,279 )(289 ,342 )(290 ,341 )291 ,344 )(292 ,343 )(329 ,333 )(330 ,334 )(331 ,335 )(332 ,336 )(345 ,401 )(346 ,402 )347 ,403 )(348 ,404 )(349 ,362 )(350 ,361 )(351 ,364 )(352 ,363 )(353 ,356 )(354 ,355 )365 ,414 )(366 ,413 )(367 ,416 )(368 ,415 )(397 ,410 )(398 ,409 )(399 ,412 )(400 ,411 )405 ,466 )(406 ,465 )(407 ,468 )(408 ,467 )(429 ,446 )(430 ,445 )(431 ,448 )(432 ,447 )433 ,474 )(434 ,473 )(435 ,476 )(436 ,475 )(469 ,482 )(470 ,481 )(471 ,484 )(472 ,483 )485 ,488 )(486 ,487 )(501 ,504 )(502 ,503 ) ];76 ]:=2 , 3 )( 5 , 10 , 20 , 31 , 53 , 47 , 28 , 14 )( 6 , 12 , 18 , 29 , 55 , 48 , 27 , 13 )7 , 9 , 19 , 32 , 54 , 45 , 26 , 16 )( 8 , 11 , 17 , 30 , 56 , 46 , 25 , 15 )21 , 34 , 60 , 74 , 84 , 77 , 62 , 40 )( 22 , 33 , 58 , 76 , 82 , 79 , 64 , 39 )23 , 36 , 59 , 73 , 81 , 78 , 61 , 38 )( 24 , 35 , 57 , 75 , 83 , 80 , 63 , 37 )41 , 67 , 52 , 71 , 43 , 65 , 50 , 72 )( 42 , 68 , 51 , 70 , 44 , 66 , 49 , 69 )85 ,169 ,253 ,346 , 94 ,173 ,257 ,337 )( 86 ,171 ,255 ,345 , 93 ,175 ,259 ,338 )87 ,170 ,254 ,348 , 96 ,174 ,258 ,339 )( 88 ,172 ,256 ,347 , 95 ,176 ,260 ,340 )89 ,182 ,266 ,342 , 90 ,181 ,265 ,341 )( 91 ,184 ,268 ,344 , 92 ,183 ,267 ,343 )97 ,195 ,279 ,358 ,106 ,207 ,291 ,349 )( 98 ,196 ,280 ,357 ,105 ,208 ,292 ,350 )99 ,193 ,277 ,360 ,108 ,205 ,289 ,351 )(100 ,194 ,278 ,359 ,107 ,206 ,290 ,352 )101 ,179 ,263 ,354 ,102 ,180 ,264 ,353 )(103 ,177 ,261 ,356 ,104 ,178 ,262 ,355 )109 ,214 ,298 ,385 ,133 ,234 ,318 ,361 )(110 ,213 ,297 ,386 ,134 ,233 ,317 ,362 )111 ,216 ,300 ,387 ,135 ,236 ,320 ,363 )(112 ,215 ,299 ,388 ,136 ,235 ,319 ,364 )113 ,186 ,270 ,369 ,117 ,190 ,274 ,365 )(114 ,185 ,269 ,370 ,118 ,189 ,273 ,366 )115 ,188 ,272 ,371 ,119 ,192 ,276 ,367 )(116 ,187 ,271 ,372 ,120 ,191 ,275 ,368 )121 ,231 ,315 ,377 ,125 ,240 ,324 ,373 )(122 ,229 ,313 ,378 ,126 ,237 ,321 ,374 )123 ,232 ,316 ,379 ,127 ,239 ,323 ,375 )(124 ,230 ,314 ,380 ,128 ,238 ,322 ,376 )129 ,222 ,306 ,381 )(130 ,224 ,308 ,382 )(131 ,221 ,305 ,383 )(132 ,223 ,307 ,384 )137 ,199 ,283 ,401 ,149 ,211 ,295 ,389 )(138 ,200 ,284 ,402 ,150 ,212 ,296 ,390 )139 ,197 ,281 ,403 ,151 ,209 ,293 ,391 )(140 ,198 ,282 ,404 ,152 ,210 ,294 ,392 )141 ,203 ,287 ,406 ,154 ,219 ,303 ,393 )(142 ,201 ,285 ,405 ,153 ,217 ,301 ,394 )143 ,204 ,288 ,407 ,155 ,220 ,304 ,395 )(144 ,202 ,286 ,408 ,156 ,218 ,302 ,396 )145 ,246 ,330 ,398 ,146 ,245 ,329 ,397 )(147 ,248 ,332 ,400 ,148 ,247 ,331 ,399 )157 ,227 ,311 ,410 ,158 ,228 ,312 ,409 )(159 ,225 ,309 ,412 ,160 ,226 ,310 ,411 )161 ,252 ,336 ,419 ,167 ,243 ,327 ,413 )(162 ,249 ,333 ,417 ,165 ,241 ,325 ,414 )163 ,250 ,334 ,418 ,166 ,244 ,328 ,415 )(164 ,251 ,335 ,420 ,168 ,242 ,326 ,416 )421 ,425 ,433 ,459 ,491 ,456 ,439 ,430 )(422 ,427 ,435 ,457 ,492 ,454 ,437 ,432 )423 ,426 ,434 ,460 ,490 ,455 ,440 ,429 )(424 ,428 ,436 ,458 ,489 ,453 ,438 ,431 )441 ,448 ,487 ,449 ,442 ,447 ,488 ,450 )(443 ,446 ,485 ,451 ,444 ,445 ,486 ,452 )461 ,483 ,499 ,496 ,477 ,471 ,468 ,475 )(462 ,481 ,497 ,495 ,478 ,469 ,466 ,476 )463 ,484 ,500 ,494 ,479 ,472 ,467 ,473 )(464 ,482 ,498 ,493 ,480 ,470 ,465 ,474 )503 ,504 ), ( 1 , 94 ,173 )( 2 , 93 ,174 )( 3 , 96 ,175 )( 4 , 95 ,176 )5 ,149 ,221 )( 6 ,151 ,223 )( 7 ,150 ,222 )( 8 ,152 ,224 )( 9 ,129 ,233 )10 ,131 ,235 )( 11 ,130 ,234 )( 12 ,132 ,236 )( 13 ,117 ,209 )( 14 ,119 ,211 )15 ,118 ,210 )( 16 ,120 ,212 )( 17 ,133 ,205 )( 18 ,135 ,207 )( 19 ,134 ,206 )20 ,136 ,208 )( 21 ,164 ,243 )( 22 ,163 ,244 )( 23 ,162 ,241 )( 24 ,161 ,242 )25 ,102 ,189 )( 26 ,104 ,191 )( 27 ,101 ,190 )( 28 ,103 ,192 )( 29 ,106 ,182 )30 ,108 ,184 )( 31 ,105 ,181 )( 32 ,107 ,183 )( 33 ,166 ,248 )( 34 ,167 ,246 )35 ,168 ,247 )( 36 ,165 ,245 )( 37 ,160 ,252 )( 38 ,158 ,249 )( 39 ,159 ,250 )40 ,157 ,251 )( 41 ,123 ,199 )( 42 ,124 ,200 )( 43 ,121 ,197 )( 44 ,122 ,198 )45 , 86 ,178 )( 46 , 88 ,180 )( 47 , 85 ,177 )( 48 , 87 ,179 )( 49 ,111 ,203 )50 ,112 ,204 )( 51 ,109 ,201 )( 52 ,110 ,202 )( 53 , 90 ,169 )( 54 , 92 ,171 )55 , 89 ,170 )( 56 , 91 ,172 )( 57 ,148 ,240 )( 58 ,147 ,239 )( 59 ,146 ,237 )60 ,145 ,238 )( 61 ,155 ,228 )( 62 ,156 ,227 )( 63 ,154 ,226 )( 64 ,153 ,225 )65 ,139 ,215 )( 66 ,140 ,216 )( 67 ,137 ,213 )( 68 ,138 ,214 )( 69 ,141 ,230 )70 ,142 ,229 )( 71 ,144 ,231 )( 72 ,143 ,232 )( 73 ,126 ,194 )( 74 ,128 ,196 )75 ,125 ,193 )( 76 ,127 ,195 )( 77 ,114 ,218 )( 78 ,116 ,220 )( 79 ,113 ,217 )80 ,115 ,219 )( 81 ,100 ,187 )( 82 , 97 ,186 )( 83 , 99 ,188 )( 84 , 98 ,185 )253 ,342 ,456 )(254 ,341 ,455 )(255 ,344 ,454 )(256 ,343 ,453 )(257 ,346 ,491 )258 ,345 ,492 )(259 ,348 ,490 )(260 ,347 ,489 )(261 ,337 ,459 )(262 ,338 ,460 )263 ,339 ,457 )(264 ,340 ,458 )(265 ,357 ,440 )(266 ,358 ,439 )(267 ,359 ,438 )268 ,360 ,437 )(269 ,350 ,442 )(270 ,349 ,441 )(271 ,352 ,444 )(272 ,351 ,443 )273 ,354 ,435 )(274 ,353 ,436 )(275 ,356 ,433 )(276 ,355 ,434 )(277 ,377 ,432 )278 ,378 ,431 )(279 ,379 ,430 )(280 ,380 ,429 )(281 ,373 ,477 )(282 ,374 ,478 )283 ,375 ,479 )(284 ,376 ,480 )(285 ,361 ,481 )(286 ,362 ,482 )(287 ,363 ,483 )288 ,364 ,484 )(289 ,385 ,446 )(290 ,386 ,445 )(291 ,387 ,448 )(292 ,388 ,447 )293 ,369 ,450 )(294 ,370 ,449 )(295 ,371 ,452 )(296 ,372 ,451 )(297 ,389 ,486 )298 ,390 ,485 )(299 ,391 ,488 )(300 ,392 ,487 )(301 ,365 ,428 )(302 ,366 ,427 )303 ,367 ,426 )(304 ,368 ,425 )(305 ,401 ,494 )(306 ,402 ,493 )(307 ,403 ,496 )308 ,404 ,495 )(309 ,405 ,462 )(310 ,406 ,461 )(311 ,408 ,464 )(312 ,407 ,463 )313 ,394 ,424 )(314 ,393 ,423 )(315 ,396 ,422 )(316 ,395 ,421 )(317 ,381 ,498 )318 ,382 ,497 )(319 ,383 ,500 )(320 ,384 ,499 )(321 ,398 ,469 )(322 ,397 ,470 )323 ,399 ,472 )(324 ,400 ,471 )(325 ,414 ,501 )(326 ,413 ,503 )(327 ,416 ,504 )328 ,415 ,502 )(329 ,417 ,465 )(330 ,419 ,466 )(331 ,420 ,467 )(332 ,418 ,468 )333 ,410 ,474 )(334 ,411 ,475 )(335 ,409 ,473 )(336 ,412 ,476 ), 5 , 10 )( 6 , 9 )( 7 , 12 )( 8 , 11 )( 13 , 19 )( 14 , 20 )( 15 , 17 )( 16 , 18 )21 , 24 )( 22 , 23 )( 25 , 30 )( 26 , 29 )( 27 , 32 )( 28 , 31 )( 33 , 38 )( 34 , 37 )35 , 40 )( 36 , 39 )( 41 , 50 )( 42 , 49 )( 43 , 52 )( 44 , 51 )( 45 , 55 )( 46 , 56 )47 , 53 )( 48 , 54 )( 57 , 62 )( 58 , 61 )( 59 , 64 )( 60 , 63 )( 65 , 67 )( 66 , 68 )73 , 79 )( 74 , 80 )( 75 , 77 )( 76 , 78 )( 81 , 82 )( 83 , 84 )( 85 ,169 )( 86 ,170 )87 ,171 )( 88 ,172 )( 89 ,178 )( 90 ,177 )( 91 ,180 )( 92 ,179 )( 93 ,174 )( 94 ,173 )95 ,176 )( 96 ,175 )( 97 ,187 )( 98 ,188 )( 99 ,185 )(100 ,186 )(101 ,183 )(102 ,184 )103 ,181 )(104 ,182 )(105 ,192 )(106 ,191 )(107 ,190 )(108 ,189 )(109 ,198 )(110 ,197 )111 ,200 )(112 ,199 )(113 ,194 )(114 ,193 )(115 ,196 )(116 ,195 )(117 ,206 )(118 ,205 )119 ,208 )(120 ,207 )(121 ,202 )(122 ,201 )(123 ,204 )(124 ,203 )(125 ,218 )(126 ,217 )127 ,220 )(128 ,219 )(129 ,223 )(130 ,224 )(131 ,221 )(132 ,222 )(133 ,210 )(134 ,209 )135 ,212 )(136 ,211 )(137 ,215 )(138 ,216 )(139 ,213 )(140 ,214 )(141 ,230 )(142 ,229 )143 ,232 )(144 ,231 )(145 ,226 )(146 ,225 )(147 ,228 )(148 ,227 )(149 ,235 )(150 ,236 )151 ,233 )(152 ,234 )(153 ,237 )(154 ,238 )(155 ,239 )(156 ,240 )(157 ,247 )(158 ,248 )159 ,245 )(160 ,246 )(161 ,243 )(162 ,244 )(163 ,241 )(164 ,242 )(165 ,250 )(166 ,249 )167 ,252 )(168 ,251 )(253 ,337 )(254 ,338 )(255 ,339 )(256 ,340 )(257 ,346 )(258 ,345 )259 ,348 )(260 ,347 )(261 ,342 )(262 ,341 )(263 ,344 )(264 ,343 )(265 ,355 )(266 ,356 )267 ,353 )(268 ,354 )(269 ,351 )(270 ,352 )(271 ,349 )(272 ,350 )(273 ,360 )(274 ,359 )275 ,358 )(276 ,357 )(277 ,366 )(278 ,365 )(279 ,368 )(280 ,367 )(281 ,362 )(282 ,361 )283 ,364 )(284 ,363 )(285 ,374 )(286 ,373 )(287 ,376 )(288 ,375 )(289 ,370 )(290 ,369 )291 ,372 )(292 ,371 )(293 ,386 )(294 ,385 )(295 ,388 )(296 ,387 )(297 ,391 )(298 ,392 )299 ,389 )(300 ,390 )(301 ,378 )(302 ,377 )(303 ,380 )(304 ,379 )(305 ,383 )(306 ,384 )307 ,381 )(308 ,382 )(309 ,398 )(310 ,397 )(311 ,400 )(312 ,399 )(313 ,394 )(314 ,393 )315 ,396 )(316 ,395 )(317 ,403 )(318 ,404 )(319 ,401 )(320 ,402 )(321 ,405 )(322 ,406 )323 ,407 )(324 ,408 )(325 ,415 )(326 ,416 )(327 ,413 )(328 ,414 )(329 ,411 )(330 ,412 )331 ,409 )(332 ,410 )(333 ,418 )(334 ,417 )(335 ,420 )(336 ,419 )(425 ,430 )(426 ,429 )427 ,432 )(428 ,431 )(433 ,439 )(434 ,440 )(435 ,437 )(436 ,438 )(441 ,444 )(442 ,443 )445 ,450 )(446 ,449 )(447 ,452 )(448 ,451 )(453 ,458 )(454 ,457 )(455 ,460 )(456 ,459 )461 ,470 )(462 ,469 )(463 ,472 )(464 ,471 )(465 ,475 )(466 ,476 )(467 ,473 )(468 ,474 )477 ,482 )(478 ,481 )(479 ,484 )(480 ,483 )(485 ,487 )(486 ,488 )(493 ,499 )(494 ,500 )495 ,497 )(496 ,498 )(501 ,502 )(503 ,504 ) ];77 ]:=1 , 4 ,16 ,39 ,57 ,67 ,71 ,65 ,41 ,25 , 9 , 3 )( 2 , 7 ,34 ,40 ,17 , 5 )( 6 ,12 ,29 , 8 ,10 ,28 ,61 ,51 ,50 ,54 ,53 ,21 )(11 ,15 ,22 ,23 ,32 ,64 ,47 ,46 ,55 ,56 ,24 ,30 )(13 ,20 ,43 ,14 ,18 ,38 )(19 ,48 ,52 ,27 ,35 ,49 ,60 ,68 ,72 ,66 ,44 ,31 )(26 ,42 ,37 ,36 ,45 ,33 )58 ,63 ,70 ,59 ,62 ,69 ), ( 1 ,59 ,23 ,69 ,57 ,43 ,61 , 5 ,29 ,13 )( 2 , 9 ,36 , 6 ,62 ,50 ,42 ,71 ,17 ,56 )( 3 ,67 )( 4 ,39 , 8 ,47 ,21 ,65 ,25 ,54 ,11 ,28 )( 7 ,53 ,40 ,19 ,26 ,30 ,63 ,46 ,45 ,72 )(10 ,70 ,60 ,38 ,64 ,34 ,15 ,14 ,52 ,58 )(12 ,32 ,27 ,49 ,22 ,51 ,24 ,66 ,31 ,55 )16 ,33 )(18 ,41 )(20 ,44 )(35 ,37 )(48 ,68 ) ];78 ]:=1 , 68 ,177 ,178 ,100 , 7 )( 2 , 4 , 88 , 76 , 74 , 47 )( 3 , 62 ,102 ,224 ,202 , 30 )5 ,170 ,162 ,257 ,219 , 19 )( 6 , 53 ,212 ,108 ,247 , 99 )( 8 ,190 ,228 ,220 ,180 ,9 )( 10 , 84 , 34 ,217 , 48 , 39 )( 11 ,147 , 50 , 91 , 64 , 65 )( 12 ,205 ,193 ,173 ,36 , 54 )( 13 , 25 , 16 , 15 , 33 , 35 )( 14 ,186 ,213 ,113 ,116 ,246 )17 , 73 ,132 ,188 ,189 , 55 )( 18 , 96 ,253 ,225 ,149 ,160 )( 20 ,157 ,181 ,236 ,142 ,140 )( 21 ,150 ,183 , 45 ,161 , 87 )( 22 , 89 ,130 ,131 ,125 ,158 )( 23 ,155 ,112 , 51 ,176 ,211 )( 24 , 46 ,240 ,256 , 97 , 37 )( 26 ,164 ,261 ,237 ,243 , 56 )27 ,138 ,134 ,196 ,195 ,208 )( 28 , 29 ,263 ,114 ,241 ,101 )( 31 , 82 ,167 ,206 , 77 ,42 )( 32 , 41 ,259 )( 38 , 95 ,115 , 93 ,109 ,201 )( 40 ,165 ,207 ,107 ,232 ,230 )43 ,234 , 75 ,244 ,118 ,121 )( 44 , 85 , 49 ,152 ,139 ,168 )( 52 ,144 ,218 , 81 , 79 ,171 )( 57 ,231 ,204 ,128 ,133 ,105 )( 58 , 98 ,197 ,185 ,143 ,239 )( 59 ,255 ,146 ,145 ,80 ,119 )( 60 ,249 ,221 ,238 ,226 ,111 )( 61 ,110 ,251 ,120 ,209 ,227 )63 ,214 ,153 ,122 ,123 ,106 )( 66 ,242 , 67 ,264 ,148 ,127 )( 69 ,192 , 72 , 71 ,141 ,103 )( 70 , 90 ,124 ,117 ,245 ,260 )( 78 , 83 ,179 ,250 ,216 ,191 )( 86 ,233 ,254 ,126 ,235 ,252 )( 92 ,175 ,163 )( 94 ,182 ,154 ,172 ,200 ,199 )(104 ,129 ,215 ,184 ,248 ,174 )135 ,223 ,262 ,194 ,156 ,203 )(136 ,159 ,229 ,198 ,222 ,151 )(137 ,210 ,187 )166 ,258 ,169 ), ( 1 ,127 ,150 ,191 , 73 , 61 ,152 ,180 )( 2 , 96 ,235 , 97 , 52 ,207 ,249 ,219 )( 3 ,264 ,247 , 55 ,133 ,209 ,248 ,100 )( 4 ,242 ,109 ,171 ,144 ,251 , 63 ,47 )( 5 , 39 , 68 ,258 , 24 ,157 ,132 ,259 )( 6 ,217 ,176 , 56 ,104 ,140 ,155 ,101 )7 , 62 ,179 ,115 , 17 ,105 ,190 ,123 )( 8 ,225 ,240 ,174 , 83 ,232 ,162 , 99 )9 ,186 , 77 , 22 , 78 , 90 , 82 , 50 )( 10 , 43 ,222 ,143 ,181 ,146 ,156 , 36 )11 ,160 , 41 ,204 ,125 , 40 ,166 ,202 )( 12 ,113 ,263 ,214 , 58 ,117 ,261 ,201 )13 ,124 , 86 ,178 , 69 ,213 ,238 ,189 )( 14 , 92 ,149 , 44 , 70 ,210 ,230 ,161 )15 , 54 ,182 ,103 , 71 ,239 , 27 , 35 )( 16 , 57 ,254 ,241 , 72 ,102 ,111 ,243 )18 ,205 ,195 , 19 ,165 , 98 ,199 , 37 )( 20 ,118 ,220 , 79 , 48 , 59 ,216 , 74 )21 ,169 ,119 ,233 , 49 , 32 ,244 ,226 )( 23 , 76 , 42 ,203 , 51 , 81 ,167 ,151 )25 , 84 ,175 ,130 ,192 ,236 ,187 , 64 )( 26 ,121 ,170 ,137 , 28 ,255 , 46 ,163 )29 ,173 , 89 ,148 ,164 ,185 , 91 ,227 )( 30 , 53 , 75 , 38 ,128 ,129 , 80 ,153 )31 ,224 ,197 ,139 ,206 ,231 ,193 ,183 )( 33 ,107 ,229 ,257 ,141 ,253 ,262 ,256 )34 ,172 ,260 ,122 ,142 ,134 ,246 , 95 )( 45 ,131 ,154 ,135 ,168 , 65 ,138 ,136 )60 ,108 ,250 ,221 ,126 ,184 ,228 ,252 )( 66 ,116 ,114 ,208 ,110 ,245 ,237 , 94 )67 ,223 ,198 ,106 ,120 ,159 ,194 , 93 )( 85 ,158 , 88 ,215 , 87 ,147 ,218 ,212 )112 ,234 ,200 ,177 ,211 ,145 ,196 ,188 ) ];79 ]:=1 , 2 ,252 ,125 ,127 ,161 ,164 ,165 )( 3 ,181 , 12 ,117 ,229 ,159 ,168 ,243 )4 ,232 ,193 ,126 ,222 , 75 , 59 ,257 )( 5 ,253 ,102 , 79 ,228 ,136 ,167 ,207 )6 , 82 ,264 ,123 ,230 ,163 ,169 ,259 )( 7 ,255 ,239 ,110 , 68 ,162 , 92 ,246 )8 ,182 ,262 ,120 ,192 , 40 ,152 , 47 )( 9 ,108 , 61 ,122 , 87 ,158 ,170 ,260 )10 ,254 ,176 ,124 ,194 ,148 ,166 , 74 )( 11 ,119 ,250 ,121 ,225 ,160 ,133 ,177 )13 ,114 ,251 ,216 ,111 , 67 ,132 , 86 )( 14 ,115 , 72 , 51 ,224 ,173 ,128 ,179 )15 , 17 ,118 ,217 ,218 ,227 ,135 ,129 )( 16 , 90 ,248 ,212 ,226 ,241 ,109 , 60 )18 ,116 ,249 , 98 , 78 ,242 ,134 ,178 )( 19 , 27 ,184 ,219 ,203 ,189 , 35 ,154 )20 ,112 , 49 , 24 ,183 ,244 ,131 ,180 )( 21 ,113 ,145 ,215 , 70 , 56 ,130 ,171 )22 ,185 ,137 ,201 ,190 , 33 ,151 , 46 )( 23 , 94 ,245 ,200 ,188 , 38 ,106 , 41 )25 , 96 , 85 ,199 ,142 , 37 ,153 , 43 )( 26 , 53 ,256 ,175 ,191 , 34 ,149 , 42 )28 ,187 ,263 ,202 ,104 , 39 ,156 , 45 )( 29 ,174 ,231 ,197 ,146 , 32 , 77 , 48 )30 ,155 , 44 , 31 ,186 , 36 ,157 , 50 )( 52 , 89 ,172 ,210 ,196 ,143 ,103 , 66 )54 ,223 , 69 , 58 ,195 ,144 ,221 , 76 )( 55 ,101 , 81 ,233 ,140 ,150 ,208 , 71 )57 ,258 ,139 ,234 ,198 ,147 ,220 , 73 )( 62 , 88 , 91 ,211 ,209 ,240 ,107 , 65 )63 , 99 , 83 ,247 ,138 ,235 ,206 ,105 )( 64 ,214 , 93 ,236 ,205 ,213 ,238 ,100 )80 ,204 ,141 ,237 , 97 , 84 ,261 , 95 ), ( 1 ,199 , 17 ,240 ,127 , 43 ,227 , 88 )2 ,201 ,115 ,263 ,161 , 46 ,173 ,156 )( 3 , 31 ,114 ,196 ,229 , 50 , 67 , 52 )4 ,157 ,119 ,235 ,222 , 44 ,160 , 99 )( 5 ,203 , 90 ,260 ,228 , 19 ,241 ,122 )6 ,175 ,112 ,255 ,230 , 42 ,244 ,162 )( 7 ,197 ,118 ,188 , 68 , 48 ,135 , 23 )8 ,200 ,113 ,251 ,192 , 41 , 56 ,132 )( 9 ,120 ,116 ,226 , 87 , 47 ,242 , 16 )10 ,131 , 27 ,209 ,194 , 49 ,189 , 62 )( 11 ,202 ,117 ,213 ,225 , 45 ,243 ,214 )12 ,143 ,110 , 84 ,168 , 89 ,246 ,204 )( 13 ,206 ,125 ,147 ,111 , 83 ,165 ,258 )14 ,107 , 79 ,169 ,224 , 91 ,207 ,264 )( 15 ,238 ,124 , 33 ,218 , 93 , 74 ,185 )18 ,239 ,126 ,105 , 78 , 92 ,257 ,247 )( 20 ,216 ,123 , 71 ,183 , 86 ,259 ,233 )21 , 38 ,121 ,141 , 70 , 94 ,177 ,261 )( 22 ,170 ,195 ,248 ,190 , 61 , 54 ,109 )24 ,138 , 76 ,184 ,180 , 63 , 58 , 35 )( 25 ,210 , 34 ,217 ,142 , 66 , 53 ,129 )26 ,187 ,179 ,249 ,191 , 39 , 51 ,134 )( 28 ,205 ,193 ,145 ,104 , 64 , 59 ,130 )29 ,211 ,198 ,250 ,146 , 65 , 57 ,133 )( 30 ,212 ,140 , 72 ,186 , 60 , 55 ,128 )32 ,219 ,136 , 73 ,174 ,154 ,253 ,234 )( 36 ,159 , 95 , 69 ,155 ,181 ,237 ,221 )37 ,215 ,137 , 75 , 96 ,171 ,151 ,232 )( 40 , 98 ,139 , 77 ,182 ,178 ,220 ,231 )80 ,166 ,256 ,158 , 97 ,176 ,149 ,108 )( 81 ,152 ,254 ,236 ,208 ,262 ,148 ,100 )82 ,167 ,223 ,245 ,163 ,102 ,144 ,106 )( 85 ,164 ,101 ,172 ,153 ,252 ,150 ,103 ) ];80 ]:=1 ,35 ,18 ,37 ,36 ,19 ,39 , 2 ,21 ,17 )( 3 ,20 ,38 ,34 ,16 )( 4 ,14 ,32 ,40 ,22 )5 ,15 ,23 , 6 ,41 ,24 ,31 ,42 ,13 ,33 )( 7 ,27 ,11 , 9 ,29 ,12 ,43 ,30 ,25 ,45 )8 ,26 ,44 ,28 ,10 ), ( 1 ,37 , 4 ,27 ,13 ,20 )( 2 ,32 ,12 ,41 ,16 ,39 )( 3 ,21 ,19 ,14 , 9 ,31 )( 5 ,38 ,18 ,35 ,22 ,45 )( 6 ,43 ,10 ,33 , 7 ,26 )( 8 ,15 ,25 )(11 ,44 ,24 ,29 ,28 ,42 )17 ,40 ,30 ,23 ,34 ,36 ) ];81 ]:=1 ,143 , 76 , 36 ,150 , 42 ,164 ,114 , 52 , 70 ,122 , 97 ,175 , 85 )( 2 ,140 ,125 ,163 ,113 , 40 , 72 ,166 , 58 ,178 ,118 , 16 ,174 , 73 )( 3 , 31 ,127 ,137 ,155 , 41 ,109 ,68 , 59 ,170 ,124 , 95 , 22 , 90 )( 4 , 66 ,129 ,171 ,159 , 43 , 25 ,167 , 51 , 35 ,119 , 94 ,161 , 83 )( 5 ,103 , 65 ,179 ,156 , 49 ,149 , 21 , 60 , 80 , 29 , 96 ,135 , 87 6 ,141 ,111 ,108 , 67 , 47 ,172 ,168 , 55 , 23 ,123 , 74 , 34 , 86 )7 , 19 ,130 , 81 , 32 , 44 ,138 ,160 , 53 ,107 , 64 , 98 ,169 , 91 )8 ,132 ,128 ,116 ,104 , 38 ,180 ,165 , 61 ,147 , 17 , 99 , 79 , 27 )9 ,112 ,102 , 71 ,157 , 46 ,182 ,145 , 14 ,177 , 75 , 28 ,152 , 84 )10 ,144 ,126 , 24 ,158 , 39 , 37 ,151 , 54 ,162 ,110 , 92 , 69 , 89 )11 ,142 ,131 ,148 , 20 , 48 , 82 , 33 , 56 ,136 ,120 , 93 ,106 , 62 )12 , 77 , 30 ,153 ,133 , 45 ,117 ,105 , 50 ,176 ,121 ,100 ,146 , 15 )13 ,139 , 18 ,181 , 78 , 26 ,154 ,134 , 57 ,115 ,101 , 63 ,173 , 88 ), 1 ,174 ,105 , 38 ,117 , 73 )( 2 ,158 ,151 , 50 ,149 , 80 )( 3 , 12 ,167 , 68 , 72 , 82 )4 , 48 ,114 , 62 , 25 , 79 )( 5 , 90 , 21 , 69 ,109 , 39 )( 6 ,143 ,160 , 64 ,180 ,74 )( 7 ,177 , 33 , 67 ,154 , 51 )( 8 , 60 ,145 , 70 , 37 , 78 )( 9 ,123 ,166 , 63 ,138 , 77 )( 10 ,130 ,165 , 65 ,172 , 76 )( 11 , 99 ,134 , 66 ,164 , 75 )13 ,181 ,168 , 71 ,182 , 81 )( 14 ,146 ,107 , 26 ,113 , 86 )( 15 , 22 ,106 , 40 , 41 ,83 )( 16 ,135 ,103 , 45 ,110 , 89 )( 17 ,173 , 92 , 42 ,112 , 87 )( 18 ,169 ,102 , 46 ,111 , 88 )( 19 ,161 ,101 , 47 , 93 , 84 )( 20 ,152 , 52 , 43 ,115 , 27 )23 , 34 ,104 , 44 , 53 , 85 )( 24 ,175 ,108 , 49 ,116 , 91 )( 28 ,133 ,140 , 57 ,118 ,176 )( 29 ,157 , 96 , 54 ,139 ,162 )( 30 ,156 ,127 , 58 ,126 ,170 )( 31 ,155 ,119 , 59 ,95 ,136 )( 32 ,150 , 56 , 55 ,147 , 35 )( 36 ,159 ,153 , 61 ,148 ,178 )94 ,132 ,141 ,120 ,122 , 98 )( 97 ,125 ,142 ,128 ,121 ,129 )(100 ,137 ,144 ,163 ,124 ,179 )(131 ,171 ) ];82 ]:=1 ,112 ,128 , 38 , 51 , 70 , 2 ,111 ,127 , 37 , 52 , 69 )( 3 ,119 ,172 ,156 , 15 , 96 ,149 ,159 , 22 ,181 ,144 ,113 )( 4 ,120 ,171 ,155 , 16 , 95 ,150 ,160 , 21 ,182 ,143 ,114 5 ,179 , 26 , 60 , 19 , 84 ,166 ,134 , 74 ,136 ,123 ,115 )( 6 ,180 , 25 , 59 , 20 ,83 ,165 ,133 , 73 ,135 ,124 ,116 )( 7 ,100 ,137 ,110 , 50 ,177 ,167 , 72 ,106 , 88 ,33 , 30 )( 8 , 99 ,138 ,109 , 49 ,178 ,168 , 71 ,105 , 87 , 34 , 29 )9 , 42 ,151 ,170 , 44 , 63 , 53 , 57 , 61 , 12 ,104 , 81 )( 10 , 41 ,152 ,169 , 43 ,64 , 54 , 58 , 62 , 11 ,103 , 82 )( 13 ,176 , 36 ,148 , 32 , 79 , 97 ,153 , 48 ,121 ,117 ,162 )( 14 ,175 , 35 ,147 , 31 , 80 , 98 ,154 , 47 ,122 ,118 ,161 )17 ,126 ,132 , 86 , 75 , 28 , 78 , 66 , 90 ,139 ,163 ,130 )( 18 ,125 ,131 , 85 , 76 ,27 , 77 , 65 , 89 ,140 ,164 ,129 )( 23 ,102 , 68 ,173 , 39 , 93 ,141 ,157 , 91 , 55 ,108 ,145 )( 24 ,101 , 67 ,174 , 40 , 94 ,142 ,158 , 92 , 56 ,107 ,146 ), 1 ,159 ,145 , 53 ,122 , 50 , 19 , 99 ,174 , 33 , 35 ,151 , 73 , 3 )( 2 ,160 ,146 , 54 ,121 , 49 , 20 ,100 ,173 , 34 , 36 ,152 , 74 , 4 )( 5 ,157 ,130 , 62 ,120 ,134 , 51 ,98 , 79 ,128 , 23 ,149 , 9 , 76 )( 6 ,158 ,129 , 61 ,119 ,133 , 52 , 97 , 80 ,127 ,24 ,150 , 10 , 75 )( 7 ,138 , 60 , 26 , 12 ,164 , 15 , 66 , 89 ,155 , 28 , 82 , 93 , 39 8 ,137 , 59 , 25 , 11 ,163 , 16 , 65 , 90 ,156 , 27 , 81 , 94 , 40 )13 ,126 , 92 ,116 ,131 ,161 ,135 , 42 , 96 ,140 , 78 ,171 , 58 ,107 )14 ,125 , 91 ,115 ,132 ,162 ,136 , 41 , 95 ,139 , 77 ,172 , 57 ,108 )17 ,141 ,103 ,180 , 86 ,123 ,117 , 64 ,105 , 71 ,168 ,169 ,176 , 56 )18 ,142 ,104 ,179 , 85 ,124 ,118 , 63 ,106 , 72 ,167 ,170 ,175 , 55 )21 , 70 ,166 ,147 , 88 , 44 ,177 , 47 ,101 ,111 ,114 ,143 , 46 ,182 )22 , 69 ,165 ,148 , 87 , 43 ,178 , 48 ,102 ,112 ,113 ,144 , 45 ,181 )29 , 68 ,153 , 37 , 31 , 84 ,110 )( 30 , 67 ,154 , 38 , 32 , 83 ,109 ) ];83 ]:=1 , 66 ,330 ,183 ,197 ,350 ,345 ,304 ,272 ,280 ,159 ,153 ,231 , 84 , 81 ,114 ,118 ,267 ,371 , 31 )( 2 , 65 ,329 ,184 ,198 ,349 ,346 ,303 ,271 ,279 ,160 ,154 ,232 , 83 , 82 ,113 ,117 ,268 ,372 , 32 )( 3 , 48 ,132 ,256 ,196 ,374 , 26 , 69 ,299 ,275 ,188 ,170 ,311 ,243 , 89 ,204 ,130 ,147 ,321 ,241 )( 4 , 47 ,131 ,255 ,195 ,373 , 25 , 70 ,300 ,276 ,187 ,169 ,312 ,244 , 90 ,203 ,129 ,148 ,322 ,242 )( 5 , 51 ,366 ,331 , 9 , 73 ,341 ,334 ,179 ,290 ,340 ,166 ,291 ,228 , 98 ,144 ,123 ,226 ,105 ,217 )6 , 52 ,365 ,332 , 10 , 74 ,342 ,333 ,180 ,289 ,339 ,165 ,292 ,227 , 97 ,143 ,124 ,225 ,106 ,218 )( 7 , 57 ,240 , 94 ,172 ,139 ,257 ,375 ,302 , 18 , 64 ,161 ,310 ,174 ,107 ,212 ,135 ,251 ,288 ,353 )( 8 , 58 ,239 , 93 ,171 ,140 ,258 ,376 ,301 , 17 , 63 ,162 ,309 ,173 ,108 ,211 ,136 ,252 ,287 ,354 )( 11 , 42 ,262 ,335 ,191 , 37 , 62 ,363 ,293 ,178 ,359 ,158 ,320 ,229 , 87 ,214 ,109 ,254 ,246 ,101 )( 12 , 41 ,261 ,336 ,192 , 38 ,61 ,364 ,294 ,177 ,360 ,157 ,319 ,230 , 88 ,213 ,110 ,253 ,245 ,102 )13 , 40 ,215 ,125 ,176 ,380 ,343 , 33 , 56 ,282 ,328 ,142 ,324 ,235 ,104 ,205 ,119 ,259 ,167 ,317 )( 14 , 39 ,216 ,126 ,175 ,379 ,344 , 34 , 55 ,281 ,327 ,141 ,323 ,236 ,103 ,206 ,120 ,260 ,168 ,318 )( 15 , 72 ,361 , 23 , 46 ,367 ,325 ,193 ,308 ,278 ,355 ,152 ,273 ,238 , 77 ,207 ,116 , 86 ,222 ,133 )( 16 , 71 ,362 , 24 , 45 ,368 ,326 ,194 ,307 ,277 ,356 ,151 ,274 ,237 , 78 ,208 ,115 , 85 ,221 ,134 )( 19 , 53 ,351 ,156 ,182 ,248 ,96 ,220 ,122 ,250 ,357 ,163 , 21 , 49 , 99 ,210 ,111 ,270 ,347 ,369 )20 , 54 ,352 ,155 ,181 ,247 , 95 ,219 ,121 ,249 ,358 ,164 , 22 , 50 ,100 ,209 ,112 ,269 ,348 ,370 )( 27 , 44 ,315 ,234 , 79 ,223 ,127 ,266 ,305 ,284 , 28 , 43 ,316 ,233 , 80 ,224 ,128 ,265 ,306 ,283 )( 29 , 59 ,190 ,337 ,186 ,378 ,296 ,285 ,297 ,150 ,313 ,145 ,92 ,200 , 76 ,201 ,138 ,263 , 35 , 67 )( 30 , 60 ,189 ,338 ,185 ,377 ,295 ,286 ,298 ,149 ,314 ,146 , 91 ,199 , 75 ,202 ,137 ,264 , 36 , 68 ), 1 ,165 ,359 ,272 )( 2 ,166 ,360 ,271 )( 3 ,110 ,260 ,281 )( 4 ,109 ,259 ,282 )5 ,148 ,352 , 88 )( 6 ,147 ,351 , 87 )( 7 ,159 ,280 , 18 )( 8 ,160 ,279 , 17 )9 ,158 ,358 ,276 )( 10 ,157 ,357 ,275 )( 11 ,146 ,353 ,274 )( 12 ,145 ,354 ,273 )13 ,164 ,314 ,204 )( 14 ,163 ,313 ,203 )( 15 ,162 , 97 ,120 )( 16 ,161 , 98 ,119 )19 , 43 ,355 ,290 )( 20 , 44 ,356 ,289 )( 21 ,144 ,237 ,283 )( 22 ,143 ,238 ,284 )23 ,141 ,340 ,287 )( 24 ,142 ,339 ,288 )( 25 ,168 ,327 ,177 )( 26 ,167 ,328 ,178 )27 ,149 , 28 ,150 )( 29 , 77 ,129 ,250 )( 30 , 78 ,130 ,249 )( 31 ,153 ,214 ,228 )32 ,154 ,213 ,227 )( 33 ,169 ,297 , 53 )( 34 ,170 ,298 , 54 )( 35 ,156 ,187 ,277 )36 ,155 ,188 ,278 )( 37 ,151 , 64 ,285 )( 38 ,152 , 63 ,286 )( 39 ,135 ,269 ,299 )40 ,136 ,270 ,300 )( 41 ,265 ,367 , 90 )( 42 ,266 ,368 , 89 )( 45 ,346 ,380 ,293 )46 ,345 ,379 ,294 )( 47 ,244 ,373 ,291 )( 48 ,243 ,374 ,292 )( 49 ,370 ,324 ,205 )50 ,369 ,323 ,206 )( 51 ,363 ,108 ,122 )( 52 ,364 ,107 ,121 )( 55 , 70 ,378 ,308 )56 , 69 ,377 ,307 )( 57 ,220 ,247 ,302 )( 58 ,219 ,248 ,301 )( 59 ,194 ,349 ,305 )60 ,193 ,350 ,306 )( 61 ,375 ,338 ,179 )( 62 ,376 ,337 ,180 )( 65 ,104 ,140 ,252 )66 ,103 ,139 ,251 )( 67 ,319 ,224 ,229 )( 68 ,320 ,223 ,230 )( 71 ,334 ,197 ,296 )72 ,333 ,198 ,295 )( 73 ,303 , 74 ,304 )( 75 ,117 ,261 ,100 )( 76 ,118 ,262 , 99 )79 ,128 ,268 ,329 )( 80 ,127 ,267 ,330 )( 81 ,116 ,263 ,315 )( 82 ,115 ,264 ,316 )83 ,134 ,254 ,215 )( 84 ,133 ,253 ,216 )( 85 ,131 , 86 ,132 )( 91 ,114 ,225 ,362 )92 ,113 ,226 ,361 )( 93 ,112 ,257 ,365 )( 94 ,111 ,258 ,366 )( 95 ,137 ,256 ,189 )96 ,138 ,255 ,190 )(101 ,123 ,202 ,239 )(102 ,124 ,201 ,240 )(105 ,126 ,175 ,342 )106 ,125 ,176 ,341 )(171 ,235 ,372 ,309 )(172 ,236 ,371 ,310 )(173 ,343 ,321 ,209 )174 ,344 ,322 ,210 )(181 ,211 ,246 ,332 )(182 ,212 ,245 ,331 )(183 ,185 ,348 ,335 )184 ,186 ,347 ,336 )(191 ,312 ,221 ,233 )(192 ,311 ,222 ,234 )(195 ,325 ,196 ,326 )199 ,241 ,318 ,207 )(200 ,242 ,317 ,208 )(217 ,232 ,218 ,231 ) ];84 ]:=1 ,289 , 52 ,367 ,239 )( 2 ,359 ,183 ,350 ,204 )( 3 ,348 ,371 ,184 ,240 )4 ,328 ,104 ,226 ,241 )( 5 ,190 ,356 ,200 ,242 )( 6 ,120 ,376 ,208 ,243 )7 , 89 ,330 , 99 ,223 )( 8 ,196 ,346 ,368 ,185 )( 9 ,279 ,266 ,117 ,233 )10 , 92 ,221 ,254 , 85 )( 11 ,352 ,194 ,347 ,234 )( 12 ,251 , 77 ,327 ,100 )13 ,230 ,248 , 81 ,235 )( 14 , 41 ,378 ,336 , 22 )( 15 , 34 ,283 , 43 ,236 )16 ,219 ,282 ,264 ,110 )( 17 ,259 ,109 ,366 ,216 )( 18 ,357 ,212 ,274 ,237 )19 ,358 ,340 , 29 ,238 )( 20 ,286 , 48 ,137 ,334 )( 21 ,290 , 53 ,360 ,311 )23 ,285 , 47 ,158 ,152 )( 24 ,294 , 40 ,379 ,178 )( 25 ,284 , 46 ,176 ,339 )26 ,288 , 51 ,306 ,335 )( 27 ,174 , 39 ,295 ,304 )( 28 ,155 , 45 , 57 ,315 )30 ,293 , 38 ,324 ,131 )( 31 , 58 , 44 ,374 ,159 )( 32 ,287 , 50 ,139 , 71 )33 ,292 , 55 ,380 ,297 )( 35 ,144 , 49 ,313 ,337 )( 36 ,291 , 54 ,365 ,325 )37 ,136 , 42 ,307 ,338 )( 56 ,314 ,370 ,163 ,143 )( 59 ,209 ,276 ,165 ,111 )60 ,316 , 91 ,156 ,148 )( 61 ,258 ,112 ,161 ,151 )( 62 ,317 ,187 ,153 ,142 )63 ,318 ,202 ,157 ,147 )( 64 ,256 , 88 ,162 ,102 )( 65 ,197 ,343 ,154 ,141 )66 , 83 ,332 , 98 ,146 )( 67 , 96 ,227 ,164 , 73 )( 68 ,278 ,260 ,107 ,140 )69 ,191 ,354 ,160 ,145 )( 70 ,108 ,373 ,166 ,150 )( 72 ,232 ,245 , 76 ,149 )74 ,329 , 93 ,220 ,244 )( 75 ,333 , 90 ,130 ,249 )( 78 ,303 , 97 ,172 ,255 )79 ,125 , 94 ,231 ,247 )( 80 ,296 ,105 ,225 ,180 )( 82 ,326 ,101 ,222 ,253 )84 ,167 , 95 ,229 ,250 )( 86 ,321 ,106 ,224 ,246 )( 87 ,331 ,103 ,228 ,252 )113 ,362 ,213 ,271 ,263 )(114 ,134 ,217 ,277 ,267 )(115 ,305 ,207 ,169 ,257 )116 ,308 ,210 ,273 ,128 )(118 ,299 ,214 ,281 ,171 )(119 ,323 ,127 ,275 ,262 )121 ,377 ,173 ,270 ,269 )(122 ,363 ,211 ,126 ,261 )(123 ,375 ,215 ,280 ,265 )124 ,175 ,218 ,272 ,268 )(129 ,361 ,182 ,351 ,198 )(132 ,205 ,309 ,364 ,181 )133 ,188 ,312 ,201 ,322 )(135 ,345 ,310 ,186 ,319 )(138 ,355 ,203 ,342 ,320 )168 ,189 ,300 ,206 ,341 )(170 ,349 ,195 ,302 ,369 )(177 ,344 ,298 ,192 ,353 )179 ,372 ,193 ,301 ,199 ), ( 1 ,297 ,202 ,181 ,283 ,179 ,380 ,230 ,208 ,353 )2 ,339 ,227 ,184 ,356 )( 3 ,325 ,287 ,170 ,378 ,348 ,218 ,225 , 29 ,300 )4 ,315 ,370 ,182 ,104 , 62 ,255 ,223 ,264 ,153 )( 5 ,311 , 91 , 63 ,248 ,242 ,257 ,156 , 81 ,318 )( 6 ,159 , 88 ,191 ,371 ,309 , 95 , 64 ,254 ,240 )( 7 ,239 ,260 ,163 ,77 ,314 ,372 ,231 , 99 , 65 )( 8 , 15 ,337 ,187 ,183 ,346 ,344 ,228 ,226 ,350 )9 ,335 , 28 ,193 ,194 ,322 ,288 ,172 ,367 ,352 )( 10 ,338 ,112 ,138 , 52 ,145 ,270 ,224 ,366 ,301 )( 11 ,340 ,343 ,189 ,221 ,347 ,349 , 12 ,336 ,354 )( 13 , 71 ,245 ,185 ,266 ,157 , 80 ,232 ,368 ,312 )( 14 ,178 ,374 ,190 ,212 ,341 , 24 ,229 ,200 ,319 )16 ,304 ,332 ,186 ,109 ,129 , 39 ,146 ,274 ,355 )( 17 ,334 ,373 ,192 ,330 ,342 ,118 ,130 , 43 ,143 )( 18 ,131 , 47 ,141 ,282 ,345 ,375 ,222 ,327 ,351 )( 19 ,152 ,276 ,188 ,376 ,302 ,326 ,220 ,117 ,132 )( 20 ,101 , 56 ,244 ,238 ,171 ,158 , 89 ,209 ,369 )21 ,115 ,135 , 48 ,144 ,169 ,360 ,357 ,214 ,331 )( 22 ,269 ,160 , 79 ,285 ,168 ,307 ,92 , 68 ,253 )( 23 ,252 ,204 ,263 ,155 , 82 ,313 ,359 ,213 , 97 )( 25 ,195 ,198 ,290 ,174 ,176 ,358 ,219 ,207 , 27 )( 26 ,295 ,196 ,211 ,292 )( 30 ,299 ,206 ,321 ,286 ,123 ,137 , 41 ,151 ,281 )( 31 ,272 ,205 ,323 ,284 ,167 ,365 ,120 ,127 , 46 )32 ,298 ,203 , 90 , 58 ,180 ,236 ,259 ,166 , 84 )( 33 ,296 ,201 ,114 ,136 , 55 ,139 ,279 ,217 ,377 )( 34 ,215 ,199 , 37 ,294 ,177 ,324 ,289 ,173 ,379 )( 35 , 78 ,197 ,320 ,293 ,103 , 57 ,251 ,216 ,265 )( 36 , 51 ,142 ,273 ,291 ,175 ,306 ,328 ,210 ,124 )38 ,111 ,126 , 42 ,140 ,280 ,329 ,363 ,121 ,125 )( 40 ,149 ,271 ,116 ,134 )44 ,147 ,277 , 94 , 59 ,250 ,235 ,267 ,107 , 74 )( 45 ,150 ,275 ,362 ,305 ,303 ,333 ,119 ,113 , 53 )( 49 ,148 ,243 ,261 ,161 , 87 ,316 ,364 ,122 ,106 )( 50 , 73 ,278 ,361 ,308 ,105 , 67 ,247 ,110 ,128 )( 54 ,102 , 61 ,249 ,233 ,268 ,162 , 86 ,108 ,133 )60 ,256 ,234 ,262 , 98 )( 66 ,241 ,237 ,165 , 76 , 83 ,317 ,310 , 93 , 72 )69 ,246 ,100 , 70 ,164 , 85 ,258 ,154 , 75 , 96 ) ];85 ]:=1 , 45 ,181 ,171 , 81 , 3 ,217 ,185 ,247 , 93 ,308 ,216 ,357 ,243 , 36 ,307 ,197 ,351 ,110 , 20 ,136 ,200 ,370 ,100 , 58 ,144 ,276 ,374 ,328 , 73 ,125 ,284 ,298 ,325 , 54 ,124 ,170 ,291 )( 2 ,198 ,180 ,114 , 77 ,137 ,219 ,376 ,233 , 74 ,316 ,273 ,355 ,339 , 35 ,117 ,208 ,294 , 97 , 39 ,143 ,161 ,367 , 4 , 64 ,182 ,285 , 88 ,327 ,225 ,128 ,246 ,302 ,306 , 44 ,353 ,167 , 24 )( 5 , 7 ,179 ,190 , 95 , 80 ,213 ,223 ,242 ,245 ,321 ,311 ,349 ,358 , 34 , 21 ,193 ,199 ,103 , 96 ,134 ,142 ,371 ,366 , 61 , 68 ,278 ,279 ,336 ,340 ,130 ,132 ,303 ,287 , 40 , 48 ,162 ,158 )( 6 ,350 ,186 , 38 , 79 ,194 ,218 ,109 ,229 ,150 ,314 ,368 ,347 , 72 , 30 ,269 ,202 ,332 ,111 ,115 ,151 ,295 ,363 , 42 , 67 ,163 ,272 ,12 ,331 ,187 ,133 , 94 ,289 ,211 , 52 ,239 ,169 ,310 )( 8 ,102 ,172 ,152 , 85 ,365 ,214 ,71 ,240 ,283 ,317 ,330 ,359 ,129 , 37 ,288 ,192 , 46 ,105 ,153 ,139 , 9 ,369 ,176 , 76 ,87 ,270 ,221 ,338 ,244 ,131 ,322 ,292 ,344 , 53 , 29 ,155 ,196 )( 10 ,160 ,177 , 19 ,83 ,175 ,228 , 90 ,232 ,226 ,319 ,235 ,360 ,320 , 25 ,345 ,205 , 27 , 98 ,191 ,141 ,104 ,362 ,138 , 66 ,373 ,271 , 69 ,335 ,282 ,126 ,341 ,301 ,116 , 56 ,296 ,154 , 43 )11 ,274 ,183 ,342 , 92 ,118 ,227 ,300 ,230 , 55 ,315 ,159 ,348 , 15 , 26 ,174 ,209 , 84 ,99 ,210 ,147 ,238 ,379 ,309 , 63 ,354 ,281 , 31 ,326 ,206 ,122 ,113 ,286 ,135 , 47 ,372 ,157 , 62 )( 13 ,255 ,184 ,266 , 89 ,251 ,222 ,261 ,241 ,264 ,318 ,254 ,356 ,262 , 32 ,250 ,203 ,256 ,108 ,248 ,146 ,257 ,375 ,252 , 70 ,259 ,280 ,260 ,337 ,263 ,127 ,265 ,299 ,249 , 51 ,258 ,165 ,253 )( 14 ,236 ,188 ,323 , 82 ,346 ,224 , 33 ,231 ,207 ,313 ,101 ,343 ,148 , 28 ,364 ,195 , 65 ,106 ,267 ,145 ,333 ,378 ,119 , 75 ,297 ,268 , 50 ,334 ,168 ,120 , 18 ,293 ,173 , 57 , 86 ,156 ,215 )( 16 ,121 ,189 ,304 , 78 , 41 ,220 ,166 ,234 ,17 ,312 ,178 ,361 , 91 , 22 ,212 ,204 ,237 ,112 ,305 ,140 ,352 ,377 , 23 , 60 ,201 ,275 ,107 ,324 ,149 ,123 ,380 ,290 , 59 , 49 ,277 ,164 ,329 ), 1 ,229 , 50 , 98 ,177 ,333 ,169 ,370 , 38 )( 2 ,234 , 47 ,112 ,180 ,342 ,154 ,362 , 31 )3 ,240 , 48 ,108 ,179 ,330 ,170 ,378 , 33 )( 4 ,233 , 42 ,100 ,176 ,328 ,157 ,366 , 23 5 ,238 , 55 ,103 ,190 ,325 ,153 ,374 , 21 )( 6 ,246 , 54 ,109 ,175 ,335 ,162 ,375 ,26 )( 7 ,235 , 56 ,111 ,185 ,327 ,163 ,372 , 32 )( 8 ,247 , 40 , 96 ,183 ,326 ,158 ,371 , 36 )( 9 ,245 , 46 ,114 ,173 ,324 ,164 ,364 , 24 )( 10 ,241 , 45 ,101 ,189 ,340 ,166 ,365 , 30 )( 11 ,239 , 51 ,102 ,178 ,341 ,168 ,376 , 22 )( 12 ,231 , 43 ,104 ,188 ,332 ,171 ,363 , 20 )( 13 ,236 , 44 ,113 ,187 ,338 ,156 ,373 , 29 )( 14 ,232 , 49 ,105 ,184 ,331 ,159 ,380 , 35 )( 15 ,243 , 53 ,110 ,186 ,339 ,167 ,377 , 34 )16 ,242 , 41 ,106 ,181 ,337 ,160 ,368 , 37 )( 17 ,237 , 57 , 97 ,172 ,336 ,155 ,367 , 28 18 ,244 , 52 , 99 ,182 ,334 ,165 ,369 , 25 )( 19 ,230 , 39 ,107 ,174 ,329 ,161 ,379 ,27 )( 58 ,221 ,193 ,253 ,142 ,131 ,351 ,323 ,268 )( 59 ,210 ,202 ,250 ,139 ,123 ,360 ,313 ,285 )( 60 ,215 ,200 ,264 ,141 ,133 ,344 ,305 ,279 )( 61 ,214 ,195 ,252 ,138 ,119 ,347 ,309 ,271 )( 62 ,219 ,207 ,256 ,152 ,116 ,343 ,317 ,269 )( 63 ,227 ,206 ,261 ,137 ,125 ,353 ,318 ,274 )( 64 ,216 ,208 ,263 ,147 ,118 ,354 ,315 ,280 )( 65 ,228 ,192 ,248 ,145 ,117 ,348 ,314 ,283 )( 66 ,226 ,199 ,266 ,135 ,115 ,355 ,307 ,272 )67 ,222 ,198 ,254 ,151 ,130 ,357 ,308 ,278 )( 68 ,220 ,203 ,255 ,140 ,132 ,359 ,319 ,270 69 ,212 ,196 ,257 ,150 ,122 ,361 ,306 ,267 )( 70 ,217 ,197 ,265 ,149 ,128 ,346 ,316 ,277 )( 71 ,213 ,201 ,258 ,146 ,121 ,349 ,322 ,282 )( 72 ,224 ,205 ,262 ,148 ,129 ,358 ,320 ,281 )( 73 ,223 ,194 ,259 ,143 ,127 ,350 ,311 ,284 )( 74 ,218 ,209 ,249 ,134 ,126 ,345 ,310 ,276 )( 75 ,225 ,204 ,251 ,144 ,124 ,356 ,312 ,273 )( 76 ,211 ,191 ,260 ,136 ,120 ,352 ,321 ,275 )( 77 , 88 , 79 , 81 , 85 , 93 , 84 , 95 , 78 )( 80 , 87 , 86 , 89 ,83 , 82 , 94 , 92 , 90 )(286 ,298 ,288 ,291 ,295 ,302 ,294 ,304 ,287 )289 ,297 ,296 ,299 ,293 ,292 ,303 ,301 ,300 ) ];86 ]:=1 ,150 ,176 , 64 ,115 ,131 )( 2 ,149 ,174 , 62 ,113 ,129 )( 3 ,152 ,175 , 63 ,116 ,132 )4 ,151 ,173 , 61 ,114 ,130 )( 5 ,154 ,171 , 71 ,110 ,128 , 6 ,153 ,169 , 69 ,112 ,126 7 ,156 ,172 , 72 ,109 ,127 , 8 ,155 ,170 , 70 ,111 ,125 )( 9 ,145 ,180 , 65 ,120 ,124 , 11 ,147 ,179 , 66 ,119 ,123 )( 10 ,146 ,178 , 67 ,118 ,122 , 12 ,148 ,177 , 68 ,117 ,121 )( 13 ,108 ,188 , 84 , 55 ,167 , 15 ,107 ,187 , 82 , 56 ,165 )14 ,106 ,186 , 83 , 53 ,168 , 16 ,105 ,185 , 81 , 54 ,166 )( 17 ,102 ,183 , 76 , 51 ,158 18 ,104 ,181 , 75 , 49 ,157 )( 19 ,101 ,184 , 74 , 52 ,160 )( 20 ,103 ,182 , 73 , 50 ,159 )( 21 , 97 ,192 , 77 , 58 ,161 , 22 , 99 ,190 , 78 , 60 ,162 )( 23 , 98 ,191 , 79 ,57 ,163 , 24 ,100 ,189 , 80 , 59 ,164 )( 25 , 45 , 90 , 30 , 41 , 86 , 26 , 47 , 92 ,32 , 42 , 85 )( 27 , 46 , 89 , 29 , 43 , 88 , 28 , 48 , 91 , 31 , 44 , 87 )33 , 40 , 96 , 36 , 37 , 93 )( 34 , 38 , 94 )( 35 , 39 , 95 )(133 ,140 ,134 ,138 )135 ,139 ,136 ,137 )(141 ,144 ), ( 1 , 42 ,165 )( 2 , 41 ,166 )( 3 , 44 ,167 )4 , 43 ,168 )( 5 , 46 ,158 )( 6 , 45 ,157 )( 7 , 48 ,160 )( 8 , 47 ,159 )9 , 37 ,162 )( 10 , 38 ,161 )( 11 , 39 ,164 )( 12 , 40 ,163 )( 13 , 32 ,181 )14 , 30 ,183 )( 15 , 31 ,182 )( 16 , 29 ,184 )( 17 , 27 ,190 )( 18 , 25 ,192 )19 , 28 ,189 )( 20 , 26 ,191 )( 21 , 36 ,188 )( 22 , 34 ,186 )( 23 , 35 ,187 )24 , 33 ,185 )( 49 ,109 ,153 )( 50 ,111 ,155 )( 51 ,110 ,154 )( 52 ,112 ,156 )53 ,117 ,151 )( 54 ,119 ,149 )( 55 ,118 ,152 )( 56 ,120 ,150 )( 57 ,113 ,148 )58 ,115 ,146 )( 59 ,114 ,147 )( 60 ,116 ,145 )( 61 ,134 ,179 )( 62 ,133 ,177 )63 ,136 ,180 )( 64 ,135 ,178 )( 65 ,139 ,176 )( 66 ,140 ,174 )( 67 ,137 ,175 )68 ,138 ,173 )( 69 ,141 ,172 )( 70 ,142 ,170 )( 71 ,143 ,171 )( 72 ,144 ,169 )73 , 91 ,125 )( 74 , 89 ,126 )( 75 , 92 ,127 )( 76 , 90 ,128 )( 77 , 85 ,131 )78 , 87 ,132 )( 79 , 86 ,129 )( 80 , 88 ,130 )( 81 , 93 ,123 )( 82 , 95 ,124 )83 , 94 ,121 )( 84 , 96 ,122 )( 97 ,108 ,104 )( 98 ,107 ,103 )( 99 ,106 ,102 )100 ,105 ,101 ), ( 1 ,131 )( 2 ,129 )( 3 ,132 )( 4 ,130 )( 5 ,125 )( 6 ,127 )7 ,126 )( 8 ,128 )( 9 ,122 )( 10 ,124 )( 11 ,121 )( 12 ,123 )( 13 ,192 )( 14 ,191 )15 ,190 )( 16 ,189 )( 17 ,182 )( 18 ,181 )( 19 ,184 )( 20 ,183 )( 21 ,188 )( 22 ,187 )23 ,186 )( 24 ,185 )( 25 , 32 )( 26 , 30 )( 27 , 31 )( 28 , 29 )( 34 , 35 )( 37 , 96 )38 , 95 )( 39 , 94 )( 40 , 93 )( 41 , 86 )( 42 , 85 )( 43 , 88 )( 44 , 87 )( 45 , 92 )46 , 91 )( 47 , 90 )( 48 , 89 )( 50 , 51 )( 53 , 59 )( 54 , 57 )( 55 , 60 )( 56 , 58 )61 ,173 )( 62 ,174 )( 63 ,175 )( 64 ,176 )( 65 ,178 )( 66 ,177 )( 67 ,180 )( 68 ,179 )69 ,172 )( 70 ,171 )( 71 ,170 )( 72 ,169 )( 73 ,158 )( 74 ,160 )( 75 ,157 )( 76 ,159 )77 ,165 )( 78 ,167 )( 79 ,166 )( 80 ,168 )( 81 ,163 )( 82 ,161 )( 83 ,164 )( 84 ,162 )97 ,108 )( 98 ,106 )( 99 ,107 )(100 ,105 )(102 ,103 )(109 ,153 )(110 ,155 )(111 ,154 )112 ,156 )(113 ,149 )(114 ,151 )(115 ,150 )(116 ,152 )(117 ,147 )(118 ,145 )(119 ,148 )120 ,146 )(133 ,140 )(134 ,138 )(135 ,139 )(136 ,137 )(142 ,143 ) ];87 ]:=1 , 96 , 21 ,126 , 52 , 93 , 18 , 99 )( 2 , 80 , 48 ,122 , 39 ,118 , 38 , 72 )3 ,101 , 42 , 78 , 44 , 91 , 47 ,104 )( 4 , 81 , 20 ,120 , 24 ,121 , 5 , 86 )6 ,125 , 28 ,109 , 59 ,110 , 26 ,105 )( 7 , 95 , 50 , 83 , 60 ,115 , 15 , 74 )8 , 66 , 16 ,112 , 58 ,103 , 54 ,102 )( 9 , 76 , 55 ,100 , 23 ,107 , 34 , 89 )10 , 71 , 31 ,114 , 19 ,124 , 51 , 79 )( 11 , 94 , 53 , 97 , 49 ,128 , 13 ,127 )12 ,119 , 36 , 87 , 43 , 98 , 25 , 73 )( 14 ,108 , 27 ,111 , 40 , 67 , 37 ,106 )17 , 84 , 56 , 88 , 57 , 69 , 22 , 68 )( 29 , 82 , 35 , 65 , 32 , 85 , 62 ,116 )30 ,117 , 33 ,113 , 64 , 77 , 63 , 75 )( 41 , 70 , 61 , 92 , 45 ,123 , 46 , 90 )129 ,151 ,150 ,182 ,169 ,166 ,139 ,153 )(130 ,146 ,140 ,185 ,162 ,174 ,136 ,141 )131 ,138 ,165 ,188 ,179 ,170 ,178 ,142 )(132 ,148 ,190 ,157 ,192 ,191 ,154 ,134 )133 ,156 ,160 ,152 ,161 ,163 ,187 ,158 )(135 ,172 ,175 ,155 ,168 ,159 ,147 ,143 )137 ,177 ,144 ,180 ,176 ,184 ,164 ,173 )(145 ,167 ,189 ,171 ,181 ,183 ,149 ,186 ), 1 ,187 , 12 ,139 , 60 ,155 , 52 ,157 , 58 ,150 , 14 ,165 )( 2 ,181 , 27 ,147 , 53 ,133 ,55 ,145 , 15 ,138 , 13 ,191 )( 3 ,172 , 11 ,154 , 16 ,149 , 51 ,131 , 49 ,163 , 25 ,189 4 ,164 , 33 ,130 , 26 ,171 )( 5 ,167 , 28 ,136 , 30 ,144 )( 6 ,137 )7 ,178 , 41 ,134 , 43 ,184 , 40 ,143 , 45 ,160 , 8 ,177 )( 9 ,180 , 42 ,142 , 61 ,132 , 38 ,173 , 10 ,168 , 46 ,158 )( 17 ,148 , 34 ,141 , 37 ,170 , 57 ,161 , 39 ,185 ,50 ,175 )( 18 ,192 , 23 ,169 , 19 ,188 , 21 ,152 , 48 ,129 , 47 ,135 )20 ,162 , 62 ,140 , 24 ,182 )( 22 ,156 , 54 ,174 , 44 ,179 , 56 ,190 , 36 ,146 , 31 ,159 29 ,151 , 59 ,166 , 32 ,176 )( 35 ,186 , 64 ,153 , 63 ,183 )( 65 ,111 , 76 , 82 ,124 ,87 ,116 , 83 ,122 , 85 , 78 ,112 )( 66 ,113 , 91 , 89 ,117 , 67 ,119 , 75 , 79 , 80 , 77 ,115 )( 68 , 90 , 97 )( 69 , 94 , 92 )( 71 ,102 ,105 , 74 ,107 ,110 ,104 , 73 ,109 ,106 ,72 ,125 )( 81 , 95 , 98 , 86 ,101 ,118 ,121 ,108 ,103 ,120 ,114 ,100 )( 84 , 88 ,126 )93 , 96 ,123 )( 99 ,127 ,128 ) ];88 ]:=2 , 3 , 5 , 8 , 14 , 23 , 34 , 30 , 20 , 12 , 7 , 4 )( 6 , 9 , 15 , 24 , 36 , 50 ,60 , 52 , 37 , 25 , 16 , 10 )( 11 , 17 , 26 , 21 , 13 , 18 )( 19 , 27 , 38 , 48 , 35 ,47 , 43 , 32 , 22 , 31 , 39 , 28 )( 29 , 40 , 54 , 63 , 59 , 62 , 64 , 57 , 45 , 33 ,44 , 41 )( 42 , 46 , 55 )( 49 , 53 , 56 , 51 , 61 , 58 )( 65 ,129 )( 66 ,133 , 69 ,142 ,78 ,162 , 98 ,148 , 84 ,135 , 71 ,130 )( 67 ,136 , 72 ,151 , 87 ,158 , 94 ,140 , 76 ,132 ,68 ,131 )( 70 ,143 , 79 ,164 ,100 ,188 ,124 ,165 ,101 ,144 , 80 ,134 )73 ,152 , 88 ,178 ,114 ,180 ,116 ,153 , 89 ,138 , 74 ,137 )( 75 ,154 , 90 ,141 , 77 ,139 81 ,149 , 85 ,146 , 82 ,145 )( 83 ,166 ,102 ,163 , 99 ,171 ,107 ,150 , 86 ,167 ,103 ,147 )( 91 ,176 ,112 ,175 ,111 ,160 , 96 ,159 , 95 ,156 , 92 ,155 )( 93 ,182 ,118 ,187 ,123 ,192 ,128 ,173 ,109 ,172 ,108 ,157 )( 97 ,169 ,105 ,168 ,104 ,191 ,127 ,190 ,126 ,185 ,121 ,161 )(106 ,183 ,119 ,174 ,110 ,170 )(113 ,184 ,120 ,189 ,125 ,177 )115 ,186 ,122 ,181 ,117 ,179 ), ( 1 ,131 , 67 )( 2 ,133 , 65 )( 3 ,129 , 66 )4 ,137 , 69 )( 5 ,130 , 70 )( 6 ,136 , 68 )( 7 ,145 , 73 )( 8 ,134 , 77 )9 ,132 , 75 )( 10 ,146 , 72 )( 11 ,143 , 71 )( 12 ,155 , 81 )( 13 ,142 , 74 )14 ,141 , 86 )( 15 ,139 , 80 )( 16 ,152 , 82 )( 17 ,135 , 83 )( 18 ,138 , 79 )19 ,154 , 76 )( 20 ,168 , 91 )( 21 ,159 , 78 )( 22 ,151 , 85 )( 23 ,150 , 97 )24 ,144 , 99 )( 25 ,175 , 88 )( 26 ,147 , 95 )( 27 ,140 , 93 )( 28 ,167 , 90 )29 ,166 , 84 )( 30 ,174 ,104 )( 31 ,149 , 92 )( 32 ,172 , 87 )( 33 ,162 , 96 )34 ,161 ,110 )( 35 ,164 , 89 )( 36 ,163 ,113 )( 37 ,189 ,111 )( 38 ,157 ,117 )39 ,156 ,103 )( 40 ,148 ,106 )( 41 ,184 ,102 )( 42 ,182 , 94 )( 43 ,179 ,108 )44 ,160 ,120 )( 45 ,183 , 98 )( 46 ,158 ,109 )( 47 ,153 ,115 )( 48 ,181 ,100 )49 ,178 ,112 )( 50 ,177 ,123 )( 51 ,171 ,101 )( 52 ,192 ,125 )( 53 ,176 ,105 )54 ,170 ,121 )( 55 ,173 ,118 )( 56 ,169 ,107 )( 57 ,191 ,119 )( 58 ,190 ,114 )59 ,188 ,122 )( 60 ,187 ,128 )( 61 ,165 ,126 )( 62 ,186 ,116 )( 63 ,185 ,124 )64 ,180 ,127 ), ( 2 , 3 )( 4 , 5 )( 7 , 8 )( 9 , 10 )( 11 , 13 )( 12 , 14 )15 , 16 )( 17 , 21 )( 19 , 22 )( 20 , 23 )( 24 , 25 )( 27 , 32 )( 28 , 31 )( 29 , 33 )30 , 34 )( 36 , 37 )( 38 , 43 )( 40 , 45 )( 41 , 44 )( 42 , 46 )( 47 , 48 )( 49 , 51 )50 , 52 )( 53 , 56 )( 54 , 57 )( 58 , 61 )( 59 , 62 )( 63 , 64 )( 65 ,129 )( 66 ,133 )67 ,131 )( 68 ,136 )( 69 ,130 )( 70 ,137 )( 71 ,142 )( 72 ,132 )( 73 ,134 )( 74 ,143 )75 ,146 )( 76 ,151 )( 77 ,145 )( 78 ,135 )( 79 ,138 )( 80 ,152 )( 81 ,141 )( 82 ,139 )83 ,159 )( 84 ,162 )( 85 ,154 )( 86 ,155 )( 87 ,140 )( 88 ,144 )( 89 ,164 )( 90 ,149 )91 ,150 )( 92 ,167 )( 93 ,172 )( 94 ,158 )( 95 ,147 )( 96 ,166 )( 97 ,168 )( 98 ,148 )99 ,175 )(100 ,153 )(101 ,178 )(102 ,160 )(103 ,156 )(104 ,161 )(105 ,169 )(106 ,183 )107 ,176 )(108 ,157 )(109 ,182 )(110 ,174 )(111 ,163 )(112 ,171 )(113 ,189 )(114 ,165 )115 ,181 )(116 ,188 )(117 ,179 )(118 ,173 )(119 ,170 )(120 ,184 )(121 ,191 )(122 ,186 )123 ,192 )(124 ,180 )(125 ,177 )(126 ,190 )(127 ,185 )(128 ,187 ) ];89 ]:=1 , 25 , 57 ,117 , 58 ,138 ,101 , 29 , 74 ,107 , 61 , 83 , 56 , 13 )( 2 , 80 , 75 , 44 ,132 , 23 ,142 , 41 ,143 , 24 ,123 , 43 , 42 , 49 )( 3 ,106 , 34 ,105 ,103 ,110 ,115 ,77 ,129 , 11 , 90 , 91 , 27 ,137 )( 4 , 45 , 48 , 52 ,140 , 96 , 36 , 99 , 32 ,126 ,120 ,124 ,131 ,116 )( 5 ,127 ,133 , 31 , 20 , 51 , 46 , 47 , 35 ,125 ,118 ,119 ,128 , 37 6 ,147 , 14 ,139 , 59 , 63 ,102 , 40 , 17 , 98 ,108 ,122 , 76 ,111 )7 , 55 , 54 , 38 , 70 , 65 , 60 ,130 ,114 , 78 ,109 , 79 , 53 ,146 )8 , 67 , 30 , 95 , 39 , 15 ,100 , 92 ,113 ,144 , 82 , 66 , 89 , 85 )9 , 87 , 50 , 84 , 64 , 68 , 97 , 12 , 81 ,145 , 88 , 86 , 28 , 69 )10 ,112 , 26 ,104 ,141 , 73 , 71 , 94 ,136 , 72 , 93 , 16 , 21 , 62 )( 18 ,134 )19 ,135 )( 22 , 33 ), ( 1 ,142 , 16 ,121 , 72 , 44 , 74 ,124 , 54 , 31 ,106 ,128 , 53 ,120 )( 2 , 92 , 33 , 15 , 24 , 84 , 99 , 73 , 51 , 7 ,118 ,112 , 4 ,145 )3 , 79 , 13 ,100 ,107 , 38 , 34 , 26 ,111 ,122 ,130 , 40 , 63 ,141 )5 ,137 , 36 ,144 , 42 ,114 , 22 , 60 , 43 , 95 , 45 ,105 ,127 , 14 )6 , 48 , 62 ,132 , 11 ,135 , 77 , 23 , 94 , 96 , 59 , 37 , 69 ,133 )8 ,147 , 10 ,113 , 83 , 39 , 71 ,139 , 89 , 88 , 90 ,129 ,115 , 50 )9 ,117 , 25 , 78 , 98 , 65 , 29 ,138 , 28 , 82 , 21 , 97 ,136 , 30 )12 ,134 , 68 , 41 ,110 ,116 ,101 ,125 , 85 , 46 , 57 , 32 , 91 , 75 )17 , 49 , 70 ,126 , 87 ,119 , 58 , 20 , 86 ,131 ,109 ,123 ,108 , 18 )19 , 61 , 80 ,102 , 52 , 67 , 47 ,104 , 35 , 66 ,140 , 76 ,143 , 56 )27 , 81 , 93 , 64 ,103 , 55 ,146 ) ];1 ]:=[ 1 , 2 , 3 ];2 ]:=[ 1 , 2 , 3 ];3 ]:=[ 1 , 2 , 3 ];4 ]:=[ 1 , 2 , 3 ];5 ]:=[ 1 , 2 , 3 ];6 ]:=[ 1 , 2 , 3 ];7 ]:=[ 1 , 2 , 3 ];8 ]:=[ 1 , 2 , 3 ];9 ]:=[ 1 , 2 , 3 ];10 ]:=[ 1 , 2 , 3 ];11 ]:=[ 1 , 2 , 3 ];12 ]:=[ 1 , 2 , 3 ];13 ]:=[ 1 , 2 , 3 ];14 ]:=[ 1 , 2 , 3 ];15 ]:=[ 1 , 5 , 7 ];16 ]:=[ 1 , 2 , 3 ];17 ]:=[ 1 , 2 , 3 ];18 ]:=[ 1 , 2 , 3 ];19 ]:=[ 1 , 2 , 3 ];20 ]:=[ 1 , 2 , 3 ];21 ]:=[ 1 , 2 , 3 ];22 ]:=[ 1 , 2 , 3 ];23 ]:=[ 1 , 2 , 3 ];24 ]:=[ 1 , 2 , 3 ];25 ]:=[ 1 , 2 , 3 ];26 ]:=[ 1 , 2 , 3 ];27 ]:=[ 1 , 2 , 3 ];28 ]:=[ 1 , 2 , 3 ];29 ]:=[ 1 , 2 , 3 ];30 ]:=[ 1 , 2 , 27 ];31 ]:=[ 1 , 2 , 26 ];32 ]:=[ 1 , 2 , 3 ];33 ]:=[ 1 , 2 , 3 ];34 ]:=[ 1 , 2 , 3 ];35 ]:=[ 1 , 2 , 3 ];36 ]:=[ 1 , 2 , 3 ];37 ]:=[ 1 , 2 , 3 ];38 ]:=[ 1 , 2 , 3 ];39 ]:=[ 1 , 2 , 3 ];40 ]:=[ 1 , 2 , 3 ];41 ]:=[ 1 , 4 , 5 ];42 ]:=[ 1 , 15 , 138 ];43 ]:=[ 1 , 2 , 3 ];44 ]:=[ 1 , 34 , 68 ];45 ]:=[ 1 , 16 , 27 ];46 ]:=[ 1 , 4 , 7 ];47 ]:=[ 1 , 71 , 245 ];48 ]:=[ 1 , 67 , 290 ];49 ]:=[ 1 , 2 , 3 ];50 ]:=[ 1 , 9 , 11 ];51 ]:=[ 1 , 5 , 15 ];52 ]:=[ 1 , 130 , 322 ];53 ]:=[ 1 , 10 , 176 ];54 ]:=[ 1 , 35 , 92 ];55 ]:=[ 1 , 2 , 3 ];56 ]:=[ 1 , 19 , 63 ];57 ]:=[ 1 , 4 , 235 ];58 ]:=[ 1 , 10 , 68 ];59 ]:=[ 1 , 73 , 145 ];60 ]:=[ 1 , 37 , 198 ];61 ]:=[ 1 , 49 , 97 ];62 ]:=[ 1 , 25 , 68 ];63 ]:=[ 1 , 2 , 3 ];64 ]:=[ 1 , 27 , 102 ];65 ]:=[ 1 , 2 , 32 ];66 ]:=[ 1 , 2 , 3 ];67 ]:=[ 1 , 33 , 65 ];68 ]:=[ 1 , 33 , 65 ];69 ]:=[ 1 , 4 , 19 ];70 ]:=[ 1 , 58 , 135 ];71 ]:=[ 1 , 55 , 109 ];72 ]:=[ 1 , 28 , 55 ];73 ]:=[ 1 , 28 , 55 ];74 ]:=[ 1 , 2 , 3 ];75 ]:=[ 1 , 5 , 9 ];76 ]:=[ 1 , 85 , 169 ];77 ]:=[ 1 , 2 , 3 ];78 ]:=[ 1 , 2 , 3 ];79 ]:=[ 1 , 13 , 171 ];80 ]:=[ 1 , 2 , 3 ];81 ]:=[ 1 , 30 , 109 ];82 ]:=[ 1 , 16 , 142 ];83 ]:=[ 1 , 85 , 119 ];84 ]:=[ 1 , 54 , 79 ];85 ]:=[ 1 , 44 , 190 ];86 ]:=[ 1 , 85 , 97 ];87 ]:=[ 1 , 66 , 130 ];88 ]:=[ 1 , 66 , 130 ];89 ]:=[ 1 , 2 , 3 ];1 ]:=[ 7 , 3 ];2 ]:=[ 8 , 3 ];3 ]:=[ 8 , 5 ];4 ]:=[ 10 , 6 ];5 ]:=[ 7 , 7 ];6 ]:=[ 8 , 8 ];7 ]:=[ 8 , 8 ];8 ]:=[ 9 , 10 ];9 ]:=[ 12 , 10 ];10 ]:=[ 10 , 13 ];11 ]:=[ 12 , 13 ];12 ]:=[ 7 , 14 ];13 ]:=[ 7 , 14 ];14 ]:=[ 7 , 14 ];15 ]:=[ 9 , 15 ];16 ]:=[ 14 , 15 ];17 ]:=[ 8 , 16 ];18 ]:=[ 8 , 17 ];19 ]:=[ 16 , 21 ];20 ]:=[ 8 , 22 ];21 ]:=[ 8 , 22 ];22 ]:=[ 10 , 25 ];23 ]:=[ 12 , 25 ];24 ]:=[ 10 , 26 ];25 ]:=[ 11 , 26 ];26 ]:=[ 12 , 28 ];27 ]:=[ 12 , 28 ];28 ]:=[ 18 , 28 ];29 ]:=[ 8 , 33 ];30 ]:=[ 12 , 33 ];31 ]:=[ 12 , 33 ];32 ]:=[ 20 , 36 ];33 ]:=[ 12 , 37 ];34 ]:=[ 15 , 37 ];35 ]:=[ 16 , 41 ];36 ]:=[ 16 , 41 ];37 ]:=[ 9 , 43 ];38 ]:=[ 10 , 45 ];39 ]:=[ 10 , 45 ];40 ]:=[ 22 , 45 ];41 ]:=[ 8 , 46 ];42 ]:=[ 8 , 46 ];43 ]:=[ 10 , 49 ];44 ]:=[ 12 , 49 ];45 ]:=[ 14 , 49 ];46 ]:=[ 13 , 50 ];47 ]:=[ 8 , 52 ];48 ]:=[ 8 , 52 ];49 ]:=[ 24 , 55 ];50 ]:=[ 12 , 56 ];51 ]:=[ 12 , 56 ];52 ]:=[ 8 , 65 ];53 ]:=[ 10 , 65 ];54 ]:=[ 12 , 65 ];55 ]:=[ 26 , 66 ];56 ]:=[ 9 , 69 ];57 ]:=[ 9 , 69 ];58 ]:=[ 9 , 69 ];59 ]:=[ 10 , 73 ];60 ]:=[ 10 , 73 ];61 ]:=[ 12 , 73 ];62 ]:=[ 15 , 73 ];63 ]:=[ 24 , 73 ];64 ]:=[ 12 , 76 ];65 ]:=[ 15 , 76 ];66 ]:=[ 28 , 78 ];67 ]:=[ 16 , 81 ];68 ]:=[ 16 , 81 ];69 ]:=[ 8 , 82 ];70 ]:=[ 12 , 82 ];71 ]:=[ 12 , 82 ];72 ]:=[ 18 , 82 ];73 ]:=[ 18 , 82 ];74 ]:=[ 18 , 82 ];75 ]:=[ 8 , 85 ];76 ]:=[ 8 , 85 ];77 ]:=[ 20 , 85 ];78 ]:=[ 10 , 89 ];79 ]:=[ 10 , 89 ];80 ]:=[ 30 , 91 ];81 ]:=[ 12 , 92 ];82 ]:=[ 12 , 92 ];83 ]:=[ 9 , 96 ];84 ]:=[ 9 , 96 ];85 ]:=[ 9 , 96 ];86 ]:=[ 12 , 97 ];87 ]:=[ 12 , 97 ];88 ]:=[ 12 , 97 ];89 ]:=[ 14 , 99 ];fi ;if m > n-1 then 1 ,"SCRegularMap: first argument must be smaller or second argument must be larger." );fi ;if i <> fail then if orient then "(T^2)^#",String(g))); "Orientable regular map {" ,String(m),"," ,String(g),"}" ));else "(RP^2)^#",String(g))); "Non-orientable regular map {" ,String(m),"," ,String(g),"}" ));fi ;else fi ;end );################################################################################ ##<#GAPDoc Label="SCChiralMaps"> ## <ManSection> ## <Func Name="SCChiralMaps" Arg=""/> ## <Returns>a list of lists upon success, <K>fail</K> otherwise.</Returns> ## <Description> ## Returns a list of all simplicial (hyperbolic) chiral maps of orientable genus up to <M>100</M>. ## The list was generated with the help of ## the classification of regular maps by Marston Conder <Cite Key="Conder09RegMapsOfBdChi"/>. ## ## Every chiral map is given by a <M>2</M>-tuple <M>(m,g)</M> where <M>m</M> is the ## vertex valence and <M>g</M> is the genus of the map. ## ## Use the <M>2</M>-tuples of the list together with <Ref Func="SCChiralMap"/> ## to get the corresponding triangulations. ## <Example><![CDATA[ ## gap> ll:=SCChiralMaps(); ## gap> c:=SCChiralMap(ll[18][1],ll[18][2]); ## gap> SCHomology(c); ## ]]></Example> ## </Description> ## </ManSection> ##<#/GAPDoc> ################################################################################ function ()7 ,17 ],[8 ,10 ],[8 ,28 ],[8 ,37 ],[8 ,46 ],[8 ,82 ],9 ,43 ],[10 ,73 ],[12 ,22 ],[12 ,33 ],[12 ,40 ],[12 ,51 ],12 ,58 ],[12 ,64 ],[12 ,85 ],[12 ,94 ],[12 ,97 ],[18 ,28 ]];end );################################################################################ ##<#GAPDoc Label="SCChiralMap"> ## <ManSection> ## <Func Name="SCChiralMap" Arg="m,g"/> ## <Returns>a <K>SCSimplicialComplex</K> object upon success, <K>fail</K> otherwise.</Returns> ## <Description> ## Returns the (hyperbolic) chiral map of vertex valence <Arg>m</Arg> and genus <Arg>g</Arg> if existent and ## <K>fail</K> otherwise. ## ## The list was generated with the help of ## the classification of regular maps by Marston Conder <Cite Key="Conder09RegMapsOfBdChi"/>. ## ## Use <Ref Func="SCChiralMaps"/> to get a list of all ## chiral maps available. ## <Example><![CDATA[ ## gap> SCChiralMaps(); ## gap> c:=SCChiralMap(8,10); ## gap> c.Homology; ## ]]></Example> ## </Description> ## </ManSection> ##<#/GAPDoc> ################################################################################ function (m,g)if not IsPosInt(m) or m < 7 or not IsInt(g) and g >= 2 then 1 ,"SCChiralMap: argument 1 must be an integer > 6, argument 2 must be an integer > 1." );fi ;6 *(2 -2 *g)/(6 -m);2 *m*(2 -2 *g)/(6 -m);if m > n-1 then 1 ,"SCChiralMap: first argument must be smaller or second argument must be larger." );fi ;1 ]:=2 , 4 , 3 , 6 )( 7 ,31 ,49 ,37 ,13 ,43 ,25 ,19 )( 8 ,34 ,51 ,42 ,14 ,46 ,27 ,24 )9 ,36 ,50 ,40 ,15 ,48 ,26 ,22 )(10 ,33 ,54 ,38 ,16 ,45 ,30 ,20 )(11 ,35 ,53 ,41 ,17 ,47 ,29 ,23 12 ,32 ,52 ,39 ,18 ,44 ,28 ,21 ), ( 1 ,54 ,38 )( 2 ,49 ,42 )( 3 ,53 ,40 )( 4 ,51 ,41 )5 ,52 ,39 )( 6 ,50 ,37 )( 7 ,18 ,32 )( 8 ,13 ,36 )( 9 ,17 ,34 )(10 ,15 ,35 )(11 ,16 ,33 )12 ,14 ,31 )(19 ,30 ,44 )(20 ,25 ,48 )(21 ,29 ,46 )(22 ,27 ,47 )(23 ,28 ,45 )(24 ,26 ,43 ) ];2 ]:=1 , 7 , 36 , 80 ,112 , 87 , 47 )( 2 , 25 , 68 ,103 ,117 , 89 , 50 )( 3 , 28 , 20 , 40 ,77 , 85 , 48 )( 4 , 26 , 67 ,101 ,116 , 88 , 52 )( 5 , 29 , 70 ,102 ,115 , 86 , 49 )6 , 27 , 69 , 60 , 12 , 39 , 51 )( 8 , 37 , 81 ,113 ,123 , 91 , 53 )9 , 30 , 76 ,110 ,124 , 94 , 57 )( 10 , 31 , 73 ,107 ,120 , 96 , 58 )11 , 42 , 62 , 23 , 46 , 84 , 54 )( 13 , 32 , 71 ,106 ,119 , 95 , 64 )14 , 33 , 72 ,108 ,121 , 97 , 56 )( 15 , 34 , 74 ,109 ,122 , 98 , 65 )16 , 35 , 75 ,104 ,100 , 63 , 24 )( 17 , 41 , 78 ,105 ,118 , 90 , 55 )18 , 43 , 79 , 92 , 59 , 19 , 38 )( 21 , 44 , 82 ,111 ,125 , 99 , 66 )22 , 45 , 83 ,114 ,126 , 93 , 61 )(127 ,167 ,186 ,165 ,149 ,159 ,178 )128 ,142 ,175 ,181 ,132 ,170 ,133 )(129 ,169 ,131 ,152 ,134 ,144 ,145 )130 ,168 ,187 ,192 ,185 ,162 ,151 )(135 ,157 ,137 ,174 ,188 ,190 ,182 )136 ,147 ,171 ,163 ,153 ,173 ,143 )(139 ,166 ,140 ,158 ,177 ,183 ,155 )141 ,176 ,164 ,150 ,154 ,148 ,172 )(160 ,179 ,161 ,180 ,189 ,191 ,184 ), 1 , 17 , 86 )( 2 ,137 , 90 )( 3 ,136 , 63 )( 4 ,138 , 52 )( 5 ,135 ,167 )6 ,106 , 60 )( 7 ,115 , 72 )( 8 ,123 , 83 )( 9 , 12 , 71 )( 10 , 15 ,142 )11 , 81 ,152 )( 13 ,141 ,169 )( 14 ,139 , 89 )( 16 ,132 ,168 )( 18 ,140 ,120 )19 ,144 , 22 )( 20 , 25 ,118 )( 21 , 31 ,128 )( 23 ,112 , 75 )( 24 ,143 ,170 )26 , 88 , 99 )( 27 , 69 ,146 )( 28 ,100 , 68 )( 29 ,127 ,171 )( 30 , 32 ,129 )33 ,117 , 36 )( 34 , 58 , 97 )( 35 ,130 , 46 )( 37 , 45 ,134 )( 38 , 61 ,158 )39 , 57 ,159 )( 40 ,105 ,109 )( 41 , 47 ,154 )( 42 ,131 ,172 )( 43 ,107 ,101 )44 ,133 ,173 )( 48 , 70 ,147 )( 49 , 55 ,157 )( 50 ,155 ,174 )( 51 ,149 ,119 )53 ,156 , 91 )( 54 ,114 ,113 )( 56 , 96 ,166 )( 59 , 76 ,145 )( 62 ,148 , 87 )64 ,161 ,176 )( 65 ,160 ,175 )( 66 ,116 , 73 )( 67 ,125 , 79 )( 74 ,121 , 77 )78 ,150 ,122 )( 80 ,103 ,104 )( 82 ,153 ,124 )( 84 ,151 ,126 )( 85 ,108 ,102 )92 ,111 ,110 )( 93 ,162 ,177 )( 94 ,163 ,178 )( 95 ,165 ,180 )( 98 ,164 ,179 )181 ,184 ,187 )(182 ,189 ,186 )(183 ,185 ,188 )(190 ,192 ,191 ) ];3 ]:=2 , 3 , 5 , 6 , 7 , 4 )( 8 ,36 ,29 ,22 )( 9 ,40 ,33 ,28 ,14 ,37 ,30 ,26 ,12 ,42 ,35 ,23 )10 ,41 ,34 ,25 ,11 ,38 ,31 ,27 ,13 ,39 ,32 ,24 )(16 ,17 ,19 ,20 ,21 ,18 ), 1 ,27 ,13 )( 2 ,28 , 8 )( 3 ,22 ,12 )( 4 ,23 ,14 )( 5 ,26 ,11 )( 6 ,25 ,10 )( 7 ,24 , 9 )15 ,41 ,34 )(16 ,42 ,29 )(17 ,36 ,33 )(18 ,37 ,35 )(19 ,40 ,32 )(20 ,39 ,31 )(21 ,38 ,30 ) ];4 ]:=3 , 5 )( 4 , 6 )( 7 , 19 , 45 , 49 , 17 , 39 , 35 , 25 )( 8 , 20 , 46 , 50 , 18 , 40 ,36 , 26 )( 9 , 23 , 47 , 53 , 13 , 37 , 31 , 29 )( 10 , 24 , 48 , 54 , 14 , 38 , 32 , 30 )11 , 21 , 43 , 51 , 15 , 41 , 33 , 27 )( 12 , 22 , 44 , 52 , 16 , 42 , 34 , 28 )55 ,116 , 80 ,135 , 87 ,128 , 62 ,109 )( 56 ,115 , 79 ,136 , 88 ,127 , 61 ,110 )57 ,120 , 82 ,133 , 89 ,132 , 64 ,113 )( 58 ,119 , 81 ,134 , 90 ,131 , 63 ,114 )59 ,118 , 84 ,137 , 85 ,130 , 66 ,111 )( 60 ,117 , 83 ,138 , 86 ,129 , 65 ,112 )67 ,122 ,108 ,155 , 77 ,144 , 94 ,145 )( 68 ,121 ,107 ,156 , 78 ,143 , 93 ,146 )69 ,126 ,104 ,153 , 73 ,142 , 96 ,149 )( 70 ,125 ,103 ,154 , 74 ,141 , 95 ,150 )71 ,124 ,106 ,151 , 75 ,140 , 92 ,147 )( 72 ,123 ,105 ,152 , 76 ,139 , 91 ,148 )97 ,160 , 98 ,159 )( 99 ,158 ,100 ,157 )(101 ,162 ,102 ,161 ), 1 ,109 , 55 )( 2 ,110 , 56 )( 3 ,111 , 57 )( 4 ,112 , 58 )( 5 ,113 , 59 )6 ,114 , 60 )( 7 ,115 , 61 )( 8 ,116 , 62 )( 9 ,117 , 63 )( 10 ,118 , 64 )11 ,119 , 65 )( 12 ,120 , 66 )( 13 ,121 , 67 )( 14 ,122 , 68 )( 15 ,123 , 69 )16 ,124 , 70 )( 17 ,125 , 71 )( 18 ,126 , 72 )( 19 ,127 , 73 )( 20 ,128 , 74 )21 ,129 , 75 )( 22 ,130 , 76 )( 23 ,131 , 77 )( 24 ,132 , 78 )( 25 ,133 , 79 )26 ,134 , 80 )( 27 ,135 , 81 )( 28 ,136 , 82 )( 29 ,137 , 83 )( 30 ,138 , 84 )31 ,139 , 85 )( 32 ,140 , 86 )( 33 ,141 , 87 )( 34 ,142 , 88 )( 35 ,143 , 89 )36 ,144 , 90 )( 37 ,145 , 91 )( 38 ,146 , 92 )( 39 ,147 , 93 )( 40 ,148 , 94 )41 ,149 , 95 )( 42 ,150 , 96 )( 43 ,151 , 97 )( 44 ,152 , 98 )( 45 ,153 , 99 )46 ,154 ,100 )( 47 ,155 ,101 )( 48 ,156 ,102 )( 49 ,157 ,103 )( 50 ,158 ,104 )51 ,159 ,105 )( 52 ,160 ,106 )( 53 ,161 ,107 )( 54 ,162 ,108 ) ];5 ]:=1 ,14 , 4 ,11 , 8 ,18 , 2 ,13 , 5 ,10 , 9 ,17 , 3 ,15 , 6 ,12 , 7 ,16 )(19 ,25 ,21 ,26 ,20 ,27 )22 ,23 ), ( 1 ,19 ,10 )( 2 ,20 ,11 )( 3 ,21 ,12 )( 4 ,22 ,13 )( 5 ,23 ,14 )( 6 ,24 ,15 )7 ,25 ,16 )( 8 ,26 ,17 )( 9 ,27 ,18 ) ];6 ]:=2 , 4 , 3 )( 5 , 9 ,13 , 8 ,11 ,14 )( 6 ,12 ,15 , 7 ,10 ,16 )(17 ,51 ,36 ,24 ,57 ,47 ,19 ,52 ,33 ,22 ,58 ,46 )(18 ,50 ,34 ,23 ,60 ,45 ,20 ,49 ,35 ,21 ,59 ,48 )(25 ,63 ,37 ,30 ,55 ,44 ,27 ,64 ,40 ,32 ,56 ,41 )(26 ,62 ,39 ,29 ,54 ,42 ,28 ,61 ,38 ,31 ,53 ,43 ), 1 ,32 ,56 )( 2 ,30 ,53 )( 3 ,29 ,55 )( 4 ,31 ,54 )( 5 ,18 ,62 )( 6 ,20 ,63 )( 7 ,19 ,61 )8 ,17 ,64 )( 9 ,26 ,60 )(10 ,28 ,57 )(11 ,27 ,59 )(12 ,25 ,58 )(13 ,23 ,51 )(14 ,21 ,50 )15 ,22 ,52 )(16 ,24 ,49 )(34 ,35 ,36 )(37 ,45 ,43 )(38 ,47 ,42 )(39 ,48 ,44 )(40 ,46 ,41 ) ];7 ]:=3 , 6 , 10 , 13 , 18 , 16 , 12 , 7 )( 4 , 5 , 9 , 14 , 17 , 15 , 11 , 8 )19 ,164 , 92 ,182 ,110 ,199 ,145 , 73 )( 20 ,163 , 91 ,181 ,109 ,200 ,146 , 74 )21 ,179 ,107 ,189 ,125 ,211 ,147 , 75 )( 22 ,180 ,108 ,190 ,126 ,212 ,148 , 76 )23 ,178 ,106 ,193 ,124 ,215 ,149 , 77 )( 24 ,177 ,105 ,194 ,123 ,216 ,150 , 78 )25 ,176 ,104 ,185 ,122 ,208 ,151 , 79 )( 26 ,175 ,103 ,186 ,121 ,207 ,152 , 80 )27 ,174 ,102 ,198 ,120 ,213 ,153 , 81 )( 28 ,173 ,101 ,197 ,119 ,214 ,154 , 82 )29 ,172 ,100 ,183 ,118 ,203 ,155 , 83 )( 30 ,171 , 99 ,184 ,117 ,204 ,156 , 84 )31 ,170 , 98 ,195 ,116 ,210 ,157 , 85 )( 32 ,169 , 97 ,196 ,115 ,209 ,158 , 86 )33 ,168 , 96 ,187 ,114 ,202 ,159 , 87 )( 34 ,167 , 95 ,188 ,113 ,201 ,160 , 88 )35 ,165 , 93 ,192 ,111 ,206 ,161 , 89 )( 36 ,166 , 94 ,191 ,112 ,205 ,162 , 90 )37 ,128 , 38 ,127 )( 39 ,137 , 47 ,144 , 54 ,135 , 45 ,129 )( 40 ,138 , 48 ,143 , 53 ,136 , 46 ,130 )( 41 ,133 , 43 ,141 , 51 ,139 , 49 ,131 )( 42 ,134 , 44 ,142 , 52 ,140 ,50 ,132 )( 55 , 56 )( 57 , 59 , 64 , 68 , 72 , 69 , 66 , 62 )( 58 , 60 , 63 , 67 , 71 ,70 , 65 , 61 ), ( 1 , 89 , 35 )( 2 , 90 , 36 )( 3 , 78 , 20 )( 4 , 77 , 19 )5 , 73 , 29 )( 6 , 74 , 30 )( 7 , 79 , 24 )( 8 , 80 , 23 )( 9 , 83 , 33 )10 , 84 , 34 )( 11 , 86 , 26 )( 12 , 85 , 25 )( 13 , 88 , 28 )( 14 , 87 , 27 )15 , 76 , 32 )( 16 , 75 , 31 )( 17 , 81 , 22 )( 18 , 82 , 21 )( 37 ,209 ,104 )38 ,210 ,103 )( 39 ,205 ,100 )( 40 ,206 , 99 )( 41 ,215 ,101 )( 42 ,216 ,102 )43 ,201 , 97 )( 44 ,202 , 98 )( 45 ,207 , 94 )( 46 ,208 , 93 )( 47 ,199 , 95 )48 ,200 , 96 )( 49 ,214 , 92 )( 50 ,213 , 91 )( 51 ,212 ,107 )( 52 ,211 ,108 )53 ,203 ,105 )( 54 ,204 ,106 )( 55 ,189 ,126 )( 56 ,190 ,125 )( 57 ,183 ,112 )58 ,184 ,111 )( 59 ,191 ,121 )( 60 ,192 ,122 )( 61 ,193 ,117 )( 62 ,194 ,118 )63 ,185 ,115 )( 64 ,186 ,116 )( 65 ,197 ,124 )( 66 ,198 ,123 )( 67 ,196 ,113 )68 ,195 ,114 )( 69 ,181 ,120 )( 70 ,182 ,119 )( 71 ,188 ,110 )( 72 ,187 ,109 )127 ,175 ,158 )(128 ,176 ,157 )(129 ,166 ,162 )(130 ,165 ,161 )(131 ,164 ,149 )132 ,163 ,150 )(133 ,173 ,160 )(134 ,174 ,159 )(135 ,178 ,152 )(136 ,177 ,151 )137 ,172 ,145 )(138 ,171 ,146 )(139 ,179 ,154 )(140 ,180 ,153 )(141 ,169 ,148 )142 ,170 ,147 )(143 ,168 ,155 )(144 ,167 ,156 ) ];8 ]:=2 , 3 , 5 , 8 , 7 , 4 )( 6 , 9 ,13 ,11 ,12 ,10 )(14 ,66 ,53 ,40 )(15 ,70 ,57 ,46 ,20 ,67 ,54 ,44 ,18 ,72 ,59 ,41 )(16 ,73 ,60 ,43 ,17 ,68 ,55 ,47 ,21 ,69 ,56 ,42 )(19 ,78 ,65 ,51 ,25 ,71 ,58 ,52 ,26 ,77 ,64 ,45 )(22 ,76 ,63 ,49 ,23 ,74 ,61 ,50 ,24 ,75 ,62 ,48 )(28 ,29 ,31 ,34 ,33 ,30 )32 ,35 ,39 ,37 ,38 ,36 ), ( 1 ,47 ,21 )( 2 ,46 ,14 )( 3 ,40 ,18 )( 4 ,50 ,20 )( 5 ,44 ,26 )6 ,43 ,16 )( 7 ,45 ,24 )( 8 ,52 ,19 )( 9 ,42 ,23 )(10 ,48 ,17 )(11 ,51 ,15 )(12 ,41 ,22 )13 ,49 ,25 )(27 ,73 ,60 )(28 ,72 ,53 )(29 ,66 ,57 )(30 ,76 ,59 )(31 ,70 ,65 )(32 ,69 ,55 )33 ,71 ,63 )(34 ,78 ,58 )(35 ,68 ,62 )(36 ,74 ,56 )(37 ,77 ,54 )(38 ,67 ,61 )(39 ,75 ,64 ) ];9 ]:=1 , 7 , 34 , 43 , 47 , 10 ,167 , 81 , 89 )( 2 , 9 , 36 , 44 , 46 , 11 ,168 , 80 , 90 )3 , 8 , 35 , 45 , 48 , 12 ,166 , 79 , 88 )( 4 , 25 , 87 ,145 ,136 , 33 , 24 , 66 ,111 )5 , 27 , 86 ,146 ,137 , 31 , 23 , 65 ,109 )( 6 , 26 , 85 ,147 ,138 , 32 , 22 , 64 ,110 )13 ,101 , 57 ,116 ,164 , 37 ,148 , 63 ,153 )( 14 ,102 , 56 ,115 ,165 , 39 ,150 , 62 ,151 )15 ,100 , 55 ,117 ,163 , 38 ,149 , 61 ,152 )( 16 , 98 ,105 , 94 , 51 ,159 , 53 ,123 , 68 )17 , 99 ,103 , 95 , 49 ,158 , 52 ,122 , 69 )( 18 , 97 ,104 , 96 , 50 ,157 , 54 ,121 , 67 )19 ,156 , 41 ,108 ,139 ,112 , 78 ,125 ,130 )( 20 ,155 , 40 ,107 ,141 ,113 , 76 ,124 ,131 )21 ,154 , 42 ,106 ,140 ,114 , 77 ,126 ,132 )( 28 ,129 ,118 ,161 , 74 , 72 , 83 , 93 ,143 )29 ,127 ,119 ,160 , 75 , 71 , 84 , 91 ,142 )( 30 ,128 ,120 ,162 , 73 , 70 , 82 , 92 ,144 )133 ,134 ,135 ), ( 1 , 25 , 43 )( 2 , 27 , 44 )( 3 , 26 , 45 )( 4 , 23 , 47 )5 , 22 , 46 )( 6 , 24 , 48 )( 7 , 34 , 58 )( 8 , 35 , 59 )( 9 , 36 , 60 )10 , 31 , 52 )( 11 , 32 , 53 )( 12 , 33 , 54 )( 13 , 38 , 49 )( 14 , 37 , 50 )15 , 39 , 51 )( 16 , 29 , 57 )( 17 , 28 , 56 )( 18 , 30 , 55 )( 19 , 40 , 61 )20 , 42 , 62 )( 21 , 41 , 63 )( 64 ,109 ,133 )( 65 ,111 ,134 )( 66 ,110 ,135 )67 ,113 ,128 )( 68 ,112 ,127 )( 69 ,114 ,129 )( 70 ,106 ,131 )( 71 ,107 ,130 )72 ,108 ,132 )( 73 ,118 ,140 )( 74 ,119 ,139 )( 75 ,120 ,141 )( 76 ,121 ,136 )77 ,122 ,137 )( 78 ,123 ,138 )( 79 ,116 ,142 )( 80 ,115 ,143 )( 81 ,117 ,144 )82 ,124 ,145 )( 83 ,126 ,146 )( 84 ,125 ,147 )( 85 , 88 , 91 )( 86 , 90 , 93 )87 , 89 , 92 )( 94 , 97 ,100 )( 95 , 98 ,101 )( 96 , 99 ,102 )(103 ,104 ,105 )148 ,151 ,154 )(149 ,153 ,156 )(150 ,152 ,155 )(157 ,164 ,166 )(158 ,163 ,167 )159 ,165 ,168 )(160 ,161 ,162 ) ];10 ]:=1 , 2 )( 3 , 6 , 8 , 15 , 10 , 41 , 43 , 19 )( 4 , 5 , 7 , 16 , 9 , 42 , 44 , 20 )11 , 21 , 95 , 23 ,109 , 57 , 99 , 31 )( 12 , 22 , 96 , 24 ,110 , 58 ,100 , 32 )13 , 28 , 30 ,101 , 34 ,119 ,121 ,111 )( 14 , 27 , 29 ,102 , 33 ,120 ,122 ,112 )17 , 40 ,106 , 56 ,108 ,135 ,137 , 66 )( 18 , 39 ,105 , 55 ,107 ,136 ,138 , 65 )25 , 35 , 37 , 73 , 50 ,124 ,163 , 77 )( 26 , 36 , 38 , 74 , 49 ,123 ,164 , 78 )45 ,168 ,128 , 83 , 61 , 63 ,165 , 67 )( 46 ,167 ,127 , 84 , 62 , 64 ,166 , 68 )47 , 88 , 90 ,211 , 94 ,178 , 98 ,162 )( 48 , 87 , 89 ,212 , 93 ,177 , 97 ,161 )51 ,198 ,148 ,186 ,174 ,176 ,116 , 60 )( 52 ,197 ,147 ,185 ,173 ,175 ,115 , 59 )53 ,206 ,208 ,219 , 54 ,205 ,207 ,220 )( 69 , 79 ,214 , 81 ,259 ,255 ,252 , 91 )70 , 80 ,213 , 82 ,260 ,256 ,251 , 92 )( 71 ,130 , 76 ,117 , 72 ,129 , 75 ,118 )85 ,157 ,200 ,181 , 86 ,158 ,199 ,182 )(103 ,134 ,224 ,232 ,226 ,244 ,236 ,239 )104 ,133 ,223 ,231 ,225 ,243 ,235 ,240 )(113 ,141 ,204 ,143 ,139 ,229 ,270 ,153 )114 ,142 ,203 ,144 ,140 ,230 ,269 ,154 )(125 ,190 ,192 ,250 ,196 ,248 ,131 ,172 )126 ,189 ,191 ,249 ,195 ,247 ,132 ,171 )(145 ,149 ,227 ,151 ,261 ,221 ,233 ,155 )146 ,150 ,228 ,152 ,262 ,222 ,234 ,156 )(159 ,209 ,201 ,238 ,217 ,241 ,257 ,266 )160 ,210 ,202 ,237 ,218 ,242 ,258 ,265 )(169 ,253 ,184 ,268 ,188 ,264 ,194 ,180 )170 ,254 ,183 ,267 ,187 ,263 ,193 ,179 )(215 ,246 )(216 ,245 ), 1 , 3 , 5 )( 2 , 4 , 6 )( 7 , 19 , 11 )( 8 , 20 , 12 )( 9 , 25 , 27 )10 , 26 , 28 )( 13 , 39 , 41 )( 14 , 40 , 42 )( 15 , 32 , 36 )( 16 , 31 , 35 )17 , 22 , 44 )( 18 , 21 , 43 )( 23 , 59 , 61 )( 24 , 60 , 62 )( 29 , 77 , 69 )30 , 78 , 70 )( 33 , 85 , 87 )( 34 , 86 , 88 )( 37 , 99 , 57 )( 38 ,100 , 58 )45 ,105 ,111 )( 46 ,106 ,112 )( 47 ,117 ,119 )( 48 ,118 ,120 )( 49 ,127 ,129 )50 ,128 ,130 )( 51 , 96 , 66 )( 52 , 95 , 65 )( 53 ,133 ,135 )( 54 ,134 ,136 )55 , 67 ,113 )( 56 , 68 ,114 )( 63 ,115 ,145 )( 64 ,116 ,146 )( 71 ,161 ,124 )72 ,162 ,123 )( 73 ,109 , 83 )( 74 ,110 , 84 )( 75 ,167 ,122 )( 76 ,168 ,121 )79 ,163 , 97 )( 80 ,164 , 98 )( 81 ,171 ,173 )( 82 ,172 ,174 )( 89 ,182 ,179 )90 ,181 ,180 )( 91 ,157 ,102 )( 92 ,158 ,101 )( 93 ,187 ,189 )( 94 ,188 ,190 )103 ,197 ,138 )(104 ,198 ,137 )(107 ,153 ,205 )(108 ,154 ,206 )(125 ,213 ,178 )126 ,214 ,177 )(131 ,150 ,176 )(132 ,149 ,175 )(139 ,223 ,220 )(140 ,224 ,219 )141 ,165 ,155 )(142 ,166 ,156 )(143 ,225 ,231 )(144 ,226 ,232 )(147 ,239 ,201 )148 ,240 ,202 )(151 ,245 ,195 )(152 ,246 ,196 )(159 ,253 ,255 )(160 ,254 ,256 )169 ,200 ,252 )(170 ,199 ,251 )(183 ,265 ,258 )(184 ,266 ,257 )(185 ,209 ,259 )186 ,210 ,260 )(191 ,267 ,242 )(192 ,268 ,241 )(193 ,263 ,212 )(194 ,264 ,211 )203 ,234 ,244 )(204 ,233 ,243 )(207 ,270 ,229 )(208 ,269 ,230 )(215 ,228 ,248 )216 ,227 ,247 )(217 ,262 ,250 )(218 ,261 ,249 )(221 ,237 ,235 )(222 ,238 ,236 ) ];11 ]:=1 , 3 , 2 )( 5 , 91 , 62 , 9 , 79 , 22 , 17 , 35 , 42 , 13 , 47 , 82 )6 , 89 , 63 , 10 , 77 , 23 , 18 , 33 , 43 , 14 , 45 , 83 )( 7 , 90 , 61 , 11 , 78 , 21 ,19 , 34 , 41 , 15 , 46 , 81 )( 8 , 92 , 64 , 12 , 80 , 24 , 20 , 36 , 44 , 16 , 48 , 84 )25 , 87 , 94 , 49 , 71 , 66 , 97 , 39 , 30 , 73 , 55 , 58 )( 26 , 85 , 95 , 50 , 69 , 67 ,98 , 37 , 31 , 74 , 53 , 59 )( 27 , 86 , 93 , 51 , 70 , 65 , 99 , 38 , 29 , 75 , 54 , 57 )28 , 88 , 96 , 52 , 72 , 68 ,100 , 40 , 32 , 76 , 56 , 60 ), 1 , 61 , 9 )( 2 , 64 , 11 )( 3 , 62 , 12 )( 4 , 63 , 10 )( 5 , 81 , 85 )6 , 84 , 87 )( 7 , 82 , 88 )( 8 , 83 , 86 )( 13 , 21 , 57 )( 14 , 24 , 59 )15 , 22 , 60 )( 16 , 23 , 58 )( 17 , 41 , 33 )( 18 , 44 , 35 )( 19 , 42 , 36 )20 , 43 , 34 )( 25 , 77 , 89 )( 26 , 80 , 91 )( 27 , 78 , 92 )( 28 , 79 , 90 )29 , 97 , 65 )( 30 ,100 , 67 )( 31 , 98 , 68 )( 32 , 99 , 66 )( 38 , 40 , 39 )45 , 53 , 93 )( 46 , 56 , 95 )( 47 , 54 , 96 )( 48 , 55 , 94 )( 49 , 73 , 69 )50 , 76 , 71 )( 51 , 74 , 72 )( 52 , 75 , 70 ) ];12 ]:=2 , 3 , 5 , 8 , 7 , 4 )( 6 , 9 , 13 , 17 , 14 , 10 )( 11 , 12 , 16 , 19 , 18 , 15 )20 , 96 , 77 , 58 )( 21 ,100 , 81 , 64 , 26 , 97 , 78 , 62 , 24 ,102 , 83 , 59 )22 ,103 , 84 , 61 , 23 , 98 , 79 , 65 , 27 , 99 , 80 , 60 )( 25 ,108 , 89 , 71 , 33 ,101 ,82 , 70 , 32 ,109 , 90 , 63 )( 28 ,112 , 93 , 67 , 29 ,104 , 85 , 74 , 36 ,105 , 86 , 66 )30 ,111 , 92 , 75 , 37 ,106 , 87 , 73 , 35 ,113 , 94 , 68 )( 31 ,114 , 95 , 72 , 34 ,107 ,88 , 76 , 38 ,110 , 91 , 69 )( 40 , 41 , 43 , 46 , 45 , 42 )( 44 , 47 , 51 , 55 , 52 , 48 )49 , 50 , 54 , 57 , 56 , 53 ), ( 1 , 65 , 27 )( 2 , 64 , 20 )( 3 , 58 , 24 )4 , 74 , 26 )( 5 , 62 , 32 )( 6 , 61 , 22 )( 7 , 76 , 36 )( 8 , 70 , 38 )9 , 60 , 35 )( 10 , 75 , 23 )( 11 , 71 , 21 )( 12 , 59 , 28 )( 13 , 73 , 29 )14 , 69 , 37 )( 15 , 63 , 33 )( 16 , 66 , 30 )( 17 , 67 , 31 )( 18 , 72 , 25 )19 , 68 , 34 )( 39 ,103 , 84 )( 40 ,102 , 77 )( 41 , 96 , 81 )( 42 ,112 , 83 )43 ,100 , 89 )( 44 , 99 , 79 )( 45 ,114 , 93 )( 46 ,108 , 95 )( 47 , 98 , 92 )48 ,113 , 80 )( 49 ,109 , 78 )( 50 , 97 , 85 )( 51 ,111 , 86 )( 52 ,107 , 94 )53 ,101 , 90 )( 54 ,104 , 87 )( 55 ,105 , 88 )( 56 ,110 , 82 )( 57 ,106 , 91 ) ];13 ]:=2 , 3 , 5 , 6 , 7 , 4 )( 8 , 15 )( 9 , 17 , 12 , 20 , 14 , 18 )( 10 , 19 , 13 , 21 ,11 , 16 )( 22 ,120 , 99 , 71 , 29 ,106 , 85 , 78 , 36 ,113 , 92 , 64 )( 23 ,124 ,103 , 77 ,35 ,107 , 86 , 82 , 40 ,119 , 98 , 65 )( 24 ,125 ,104 , 74 , 32 ,108 , 87 , 83 , 41 ,116 ,95 , 66 )( 25 ,122 ,101 , 76 , 34 ,109 , 88 , 80 , 38 ,118 , 97 , 67 )26 ,126 ,105 , 72 , 30 ,110 , 89 , 84 , 42 ,114 , 93 , 68 )( 27 ,123 ,102 , 73 , 31 ,111 ,90 , 81 , 39 ,115 , 94 , 69 )( 28 ,121 ,100 , 75 , 33 ,112 , 91 , 79 , 37 ,117 , 96 , 70 )44 , 45 , 47 , 48 , 49 , 46 )( 50 , 57 )( 51 , 59 , 54 , 62 , 56 , 60 )52 , 61 , 55 , 63 , 53 , 58 ), ( 1 , 69 , 27 )( 2 , 70 , 22 )( 3 , 64 , 26 )4 , 65 , 28 )( 5 , 68 , 25 )( 6 , 67 , 24 )( 7 , 66 , 23 )( 8 , 83 , 34 )9 , 84 , 29 )( 10 , 78 , 33 )( 11 , 79 , 35 )( 12 , 82 , 32 )( 13 , 81 , 31 )14 , 80 , 30 )( 15 , 76 , 41 )( 16 , 77 , 36 )( 17 , 71 , 40 )( 18 , 72 , 42 )19 , 75 , 39 )( 20 , 74 , 38 )( 21 , 73 , 37 )( 43 ,111 , 90 )( 44 ,112 , 85 )45 ,106 , 89 )( 46 ,107 , 91 )( 47 ,110 , 88 )( 48 ,109 , 87 )( 49 ,108 , 86 )50 ,125 , 97 )( 51 ,126 , 92 )( 52 ,120 , 96 )( 53 ,121 , 98 )( 54 ,124 , 95 )55 ,123 , 94 )( 56 ,122 , 93 )( 57 ,118 ,104 )( 58 ,119 , 99 )( 59 ,113 ,103 )60 ,114 ,105 )( 61 ,117 ,102 )( 62 ,116 ,101 )( 63 ,115 ,100 ) ];14 ]:=1 , 13 , 43 , 96 ,141 ,169 ,109 , 54 , 24 , 4 )( 2 , 14 , 44 , 95 ,142 ,170 ,110 , 53 ,23 , 3 )( 5 , 16 , 46 , 98 ,139 ,189 ,172 ,113 , 55 , 25 )( 6 , 15 , 45 , 97 ,140 ,190 ,171 ,114 , 56 , 26 )( 7 , 18 , 48 , 73 , 37 , 69 ,119 ,111 , 57 , 29 )8 , 17 , 47 , 74 , 38 , 70 ,120 ,112 , 58 , 30 )( 9 , 20 , 50 , 94 ,137 ,187 ,159 ,115 ,59 , 27 )( 10 , 19 , 49 , 93 ,138 ,188 ,160 ,116 , 60 , 28 )( 11 , 22 , 52 , 99 ,143 ,192 ,173 ,117 , 61 , 32 )( 12 , 21 , 51 ,100 ,144 ,191 ,174 ,118 , 62 , 31 )33 , 63 , 83 ,131 , 89 ,135 , 92 ,134 , 86 , 76 )( 34 , 64 , 84 ,132 , 90 ,136 , 91 ,133 ,85 , 75 )( 35 , 65 ,123 ,161 ,178 ,214 ,183 ,180 ,130 , 77 )( 36 , 66 ,124 ,162 ,177 ,213 ,184 ,179 ,129 , 78 )( 39 , 67 ,101 ,146 ,175 ,168 ,201 ,181 ,127 , 81 )40 , 68 ,102 ,145 ,176 ,167 ,202 ,182 ,128 , 82 )( 41 , 72 ,122 ,126 , 79 )42 , 71 ,121 ,125 , 80 )( 87 , 88 )(103 ,149 ,194 ,164 ,203 ,198 ,154 ,105 ,147 ,156 )104 ,150 ,193 ,163 ,204 ,197 ,153 ,106 ,148 ,155 )(107 ,151 ,196 ,165 ,206 ,210 ,185 ,207 ,199 ,157 )(108 ,152 ,195 ,166 ,205 ,209 ,186 ,208 ,200 ,158 )(211 ,216 )(212 ,215 ), 1 , 4 , 5 )( 2 , 3 , 6 )( 7 , 12 , 10 )( 8 , 11 , 9 )( 13 , 25 , 33 )14 , 26 , 34 )( 15 , 23 , 35 )( 16 , 24 , 36 )( 17 , 27 , 37 )( 18 , 28 , 38 )19 , 31 , 41 )( 20 , 32 , 42 )( 21 , 29 , 39 )( 22 , 30 , 40 )( 43 , 76 , 86 )44 , 75 , 85 )( 45 , 77 , 89 )( 46 , 78 , 90 )( 47 , 73 , 88 )( 48 , 74 , 87 )49 , 79 , 83 )( 50 , 80 , 84 )( 51 , 81 , 92 )( 52 , 82 , 91 )( 53 ,103 , 65 )54 ,104 , 66 )( 55 , 93 , 63 )( 56 , 94 , 64 )( 57 ,101 , 67 )( 58 ,102 , 68 )59 ,107 , 69 )( 60 ,108 , 70 )( 61 ,105 , 71 )( 62 ,106 , 72 )( 95 ,133 ,128 )96 ,134 ,127 )( 97 ,131 ,126 )( 98 ,132 ,125 )( 99 ,136 ,129 )(100 ,135 ,130 )109 ,165 ,150 )(110 ,166 ,149 )(111 ,161 ,146 )(112 ,162 ,145 )(113 ,164 ,138 )114 ,163 ,137 )(115 ,159 ,151 )(116 ,160 ,152 )(117 ,168 ,147 )(118 ,167 ,148 )119 ,157 ,178 )(120 ,158 ,177 )(121 ,154 ,139 )(122 ,153 ,140 )(123 ,156 ,175 )124 ,155 ,176 )(141 ,181 ,185 )(142 ,182 ,186 )(143 ,179 ,183 )(144 ,180 ,184 )169 ,210 ,206 )(170 ,209 ,205 )(171 ,211 ,204 )(172 ,212 ,203 )(173 ,207 ,201 )174 ,208 ,202 )(187 ,193 ,196 )(188 ,194 ,195 )(189 ,198 ,215 )(190 ,197 ,216 )191 ,213 ,200 )(192 ,214 ,199 ) ];15 ]:=1 , 3 , 2 , 4 )( 7 , 33 , 50 , 40 , 13 , 45 , 26 , 22 )( 8 , 34 , 49 , 39 , 14 , 46 ,25 , 21 )( 9 , 32 , 52 , 37 , 15 , 44 , 28 , 19 )( 10 , 31 , 51 , 38 , 16 , 43 , 27 , 20 11 , 35 , 53 , 41 , 17 , 47 , 29 , 23 )( 12 , 36 , 54 , 42 , 18 , 48 , 30 , 24 )55 ,165 ,410 ,484 ,121 ,369 ,296 ,226 )( 56 ,166 ,409 ,483 ,122 ,370 ,295 ,225 )57 ,164 ,412 ,481 ,123 ,368 ,298 ,223 )( 58 ,163 ,411 ,482 ,124 ,367 ,297 ,224 )59 ,167 ,413 ,485 ,125 ,371 ,299 ,227 )( 60 ,168 ,414 ,486 ,126 ,372 ,300 ,228 )61 ,195 ,386 ,466 ,115 ,357 ,320 ,244 )( 62 ,196 ,385 ,465 ,116 ,358 ,319 ,243 )63 ,194 ,388 ,463 ,117 ,356 ,322 ,241 )( 64 ,193 ,387 ,464 ,118 ,355 ,321 ,242 )65 ,197 ,389 ,467 ,119 ,359 ,323 ,245 )( 66 ,198 ,390 ,468 ,120 ,360 ,324 ,246 )67 ,207 ,416 ,448 ,109 ,327 ,272 ,262 )( 68 ,208 ,415 ,447 ,110 ,328 ,271 ,261 )69 ,206 ,418 ,445 ,111 ,326 ,274 ,259 )( 70 ,205 ,417 ,446 ,112 ,325 ,273 ,260 )71 ,209 ,419 ,449 ,113 ,329 ,275 ,263 )( 72 ,210 ,420 ,450 ,114 ,330 ,276 ,264 )73 ,171 ,422 ,460 ,157 ,363 ,284 ,250 )( 74 ,172 ,421 ,459 ,158 ,364 ,283 ,249 )75 ,170 ,424 ,457 ,159 ,362 ,286 ,247 )( 76 ,169 ,423 ,458 ,160 ,361 ,285 ,248 )77 ,173 ,425 ,461 ,161 ,365 ,287 ,251 )( 78 ,174 ,426 ,462 ,162 ,366 ,288 ,252 )79 ,183 ,398 ,442 ,151 ,351 ,290 ,268 )( 80 ,184 ,397 ,441 ,152 ,352 ,289 ,267 )81 ,182 ,400 ,439 ,153 ,350 ,292 ,265 )( 82 ,181 ,399 ,440 ,154 ,349 ,291 ,266 )83 ,185 ,401 ,443 ,155 ,353 ,293 ,269 )( 84 ,186 ,402 ,444 ,156 ,354 ,294 ,270 )85 ,213 ,392 ,478 ,145 ,339 ,314 ,232 )( 86 ,214 ,391 ,477 ,146 ,340 ,313 ,231 )87 ,212 ,394 ,475 ,147 ,338 ,316 ,229 )( 88 ,211 ,393 ,476 ,148 ,337 ,315 ,230 )89 ,215 ,395 ,479 ,149 ,341 ,317 ,233 )( 90 ,216 ,396 ,480 ,150 ,342 ,318 ,234 )91 ,177 ,380 ,436 ,139 ,375 ,308 ,256 )( 92 ,178 ,379 ,435 ,140 ,376 ,307 ,255 )93 ,176 ,382 ,433 ,141 ,374 ,310 ,253 )( 94 ,175 ,381 ,434 ,142 ,373 ,309 ,254 )95 ,179 ,383 ,437 ,143 ,377 ,311 ,257 )( 96 ,180 ,384 ,438 ,144 ,378 ,312 ,258 )97 ,189 ,428 ,472 ,133 ,345 ,278 ,220 )( 98 ,190 ,427 ,471 ,134 ,346 ,277 ,219 )99 ,188 ,430 ,469 ,135 ,344 ,280 ,217 )(100 ,187 ,429 ,470 ,136 ,343 ,279 ,218 )101 ,191 ,431 ,473 ,137 ,347 ,281 ,221 )(102 ,192 ,432 ,474 ,138 ,348 ,282 ,222 )103 ,201 ,404 ,454 ,127 ,333 ,302 ,238 )(104 ,202 ,403 ,453 ,128 ,334 ,301 ,237 )105 ,200 ,406 ,451 ,129 ,332 ,304 ,235 )(106 ,199 ,405 ,452 ,130 ,331 ,303 ,236 )107 ,203 ,407 ,455 ,131 ,335 ,305 ,239 )(108 ,204 ,408 ,456 ,132 ,336 ,306 ,240 ), 1 ,413 ,484 )( 2 ,414 ,483 )( 3 ,410 ,486 )( 4 ,409 ,485 )( 5 ,412 ,481 )6 ,411 ,482 )( 7 ,431 ,460 )( 8 ,432 ,459 )( 9 ,428 ,462 )( 10 ,427 ,461 )11 ,430 ,457 )( 12 ,429 ,458 )( 13 ,395 ,436 )( 14 ,396 ,435 )( 15 ,392 ,438 )16 ,391 ,437 )( 17 ,394 ,433 )( 18 ,393 ,434 )( 19 ,389 ,472 )( 20 ,390 ,471 )21 ,386 ,474 )( 22 ,385 ,473 )( 23 ,388 ,469 )( 24 ,387 ,470 )( 25 ,407 ,466 )26 ,408 ,465 )( 27 ,404 ,468 )( 28 ,403 ,467 )( 29 ,406 ,463 )( 30 ,405 ,464 )31 ,425 ,442 )( 32 ,426 ,441 )( 33 ,422 ,444 )( 34 ,421 ,443 )( 35 ,424 ,439 )36 ,423 ,440 )( 37 ,419 ,478 )( 38 ,420 ,477 )( 39 ,416 ,480 )( 40 ,415 ,479 )41 ,418 ,475 )( 42 ,417 ,476 )( 43 ,383 ,454 )( 44 ,384 ,453 )( 45 ,380 ,456 )46 ,379 ,455 )( 47 ,382 ,451 )( 48 ,381 ,452 )( 49 ,401 ,448 )( 50 ,402 ,447 )51 ,398 ,450 )( 52 ,397 ,449 )( 53 ,400 ,445 )( 54 ,399 ,446 )( 55 ,113 ,184 )56 ,114 ,183 )( 57 ,110 ,186 )( 58 ,109 ,185 )( 59 ,112 ,181 )( 60 ,111 ,182 )61 ,131 ,178 )( 62 ,132 ,177 )( 63 ,128 ,180 )( 64 ,127 ,179 )( 65 ,130 ,175 )66 ,129 ,176 )( 67 ,149 ,208 )( 68 ,150 ,207 )( 69 ,146 ,210 )( 70 ,145 ,209 )71 ,148 ,205 )( 72 ,147 ,206 )( 73 ,161 ,190 )( 74 ,162 ,189 )( 75 ,158 ,192 )76 ,157 ,191 )( 77 ,160 ,187 )( 78 ,159 ,188 )( 79 ,125 ,166 )( 80 ,126 ,165 )81 ,122 ,168 )( 82 ,121 ,167 )( 83 ,124 ,163 )( 84 ,123 ,164 )( 85 ,143 ,214 )86 ,144 ,213 )( 87 ,140 ,216 )( 88 ,139 ,215 )( 89 ,142 ,211 )( 90 ,141 ,212 )91 ,137 ,196 )( 92 ,138 ,195 )( 93 ,134 ,198 )( 94 ,133 ,197 )( 95 ,136 ,193 )96 ,135 ,194 )( 97 ,155 ,172 )( 98 ,156 ,171 )( 99 ,152 ,174 )(100 ,151 ,173 )101 ,154 ,169 )(102 ,153 ,170 )(103 ,119 ,202 )(104 ,120 ,201 )(105 ,116 ,204 )106 ,115 ,203 )(107 ,118 ,199 )(108 ,117 ,200 )(217 ,311 ,352 )(218 ,312 ,351 )219 ,308 ,354 )(220 ,307 ,353 )(221 ,310 ,349 )(222 ,309 ,350 )(223 ,275 ,328 )224 ,276 ,327 )(225 ,272 ,330 )(226 ,271 ,329 )(227 ,274 ,325 )(228 ,273 ,326 )229 ,293 ,376 )(230 ,294 ,375 )(231 ,290 ,378 )(232 ,289 ,377 )(233 ,292 ,373 )234 ,291 ,374 )(235 ,305 ,358 )(236 ,306 ,357 )(237 ,302 ,360 )(238 ,301 ,359 )239 ,304 ,355 )(240 ,303 ,356 )(241 ,323 ,334 )(242 ,324 ,333 )(243 ,320 ,336 )244 ,319 ,335 )(245 ,322 ,331 )(246 ,321 ,332 )(247 ,287 ,364 )(248 ,288 ,363 )249 ,284 ,366 )(250 ,283 ,365 )(251 ,286 ,361 )(252 ,285 ,362 )(253 ,281 ,346 )254 ,282 ,345 )(255 ,278 ,348 )(256 ,277 ,347 )(257 ,280 ,343 )(258 ,279 ,344 )259 ,299 ,340 )(260 ,300 ,339 )(261 ,296 ,342 )(262 ,295 ,341 )(263 ,298 ,337 )264 ,297 ,338 )(265 ,317 ,370 )(266 ,318 ,369 )(267 ,314 ,372 )(268 ,313 ,371 )269 ,316 ,367 )(270 ,315 ,368 ) ];16 ]:=2 , 3 , 5 , 6 , 7 , 4 )( 8 , 15 , 22 )( 9 , 17 , 26 , 13 , 21 , 25 )10 , 19 , 27 , 14 , 18 , 23 )( 11 , 16 , 24 , 12 , 20 , 28 )( 29 ,148 ,113 ,106 , 50 ,162 ,127 , 99 , 43 ,141 ,120 , 85 )( 30 ,152 ,117 ,112 , 56 ,163 ,128 ,103 , 47 ,147 ,126 ,86 )( 31 ,153 ,118 ,109 , 53 ,164 ,129 ,104 , 48 ,144 ,123 , 87 )( 32 ,150 ,115 ,111 , 55 ,165 ,130 ,101 , 45 ,146 ,125 , 88 )( 33 ,154 ,119 ,107 , 51 ,166 ,131 ,105 , 49 ,142 ,121 ,89 )( 34 ,151 ,116 ,108 , 52 ,167 ,132 ,102 , 46 ,143 ,122 , 90 )( 35 ,149 ,114 ,110 , 54 ,168 ,133 ,100 , 44 ,145 ,124 , 91 )( 36 ,155 ,134 , 92 )( 37 ,159 ,138 , 98 , 42 ,156 ,135 , 96 , 40 ,161 ,140 , 93 )( 38 ,160 ,139 , 95 , 39 ,157 ,136 , 97 , 41 ,158 ,137 , 94 )57 , 78 , 71 )( 58 , 80 , 75 , 62 , 84 , 74 )( 59 , 82 , 76 , 63 , 81 , 72 )60 , 79 , 73 , 61 , 83 , 77 )( 65 , 66 , 68 , 69 , 70 , 67 ), 1 , 90 , 34 )( 2 , 91 , 29 )( 3 , 85 , 33 )( 4 , 86 , 35 )( 5 , 89 , 32 )6 , 88 , 31 )( 7 , 87 , 30 )( 8 ,111 , 41 )( 9 ,112 , 36 )( 10 ,106 , 40 )11 ,107 , 42 )( 12 ,110 , 39 )( 13 ,109 , 38 )( 14 ,108 , 37 )( 15 , 97 , 48 )16 , 98 , 43 )( 17 , 92 , 47 )( 18 , 93 , 49 )( 19 , 96 , 46 )( 20 , 95 , 45 )21 , 94 , 44 )( 22 ,104 , 55 )( 23 ,105 , 50 )( 24 , 99 , 54 )( 25 ,100 , 56 )26 ,103 , 53 )( 27 ,102 , 52 )( 28 ,101 , 51 )( 57 ,146 ,139 )( 58 ,147 ,134 )59 ,141 ,138 )( 60 ,142 ,140 )( 61 ,145 ,137 )( 62 ,144 ,136 )( 63 ,143 ,135 )64 ,167 ,132 )( 65 ,168 ,127 )( 66 ,162 ,131 )( 67 ,163 ,133 )( 68 ,166 ,130 )69 ,165 ,129 )( 70 ,164 ,128 )( 71 ,153 ,125 )( 72 ,154 ,120 )( 73 ,148 ,124 )74 ,149 ,126 )( 75 ,152 ,123 )( 76 ,151 ,122 )( 77 ,150 ,121 )( 78 ,160 ,118 )79 ,161 ,113 )( 80 ,155 ,117 )( 81 ,156 ,119 )( 82 ,159 ,116 )( 83 ,158 ,115 )84 ,157 ,114 ) ];17 ]:=2 , 3 , 5 , 8 , 7 , 4 )( 6 , 9 , 13 , 18 , 14 , 10 )( 11 , 12 , 16 , 21 , 20 , 15 )17 , 22 , 26 , 27 , 28 , 23 )( 19 , 24 , 29 , 31 , 30 , 25 )( 32 ,156 ,125 , 94 )33 ,160 ,129 ,100 , 38 ,157 ,126 , 98 , 36 ,162 ,131 , 95 )( 34 ,163 ,132 , 97 , 35 ,158 ,127 ,101 , 39 ,159 ,128 , 96 )( 37 ,168 ,137 ,107 , 45 ,161 ,130 ,106 , 44 ,169 ,138 , 99 )40 ,173 ,142 ,103 , 41 ,164 ,133 ,111 , 49 ,165 ,134 ,102 )( 42 ,171 ,140 ,113 , 51 ,166 ,135 ,109 , 47 ,175 ,144 ,104 )( 43 ,176 ,145 ,108 , 46 ,167 ,136 ,114 , 52 ,170 ,139 ,105 )48 ,181 ,150 ,121 , 59 ,172 ,141 ,119 , 57 ,183 ,152 ,110 )( 50 ,184 ,153 ,123 , 61 ,174 ,143 ,122 , 60 ,185 ,154 ,112 )( 53 ,182 ,151 ,116 , 54 ,177 ,146 ,120 , 58 ,178 ,147 ,115 )55 ,186 ,155 ,118 , 56 ,179 ,148 ,124 , 62 ,180 ,149 ,117 )( 64 , 65 , 67 , 70 , 69 , 66 )68 , 71 , 75 , 80 , 76 , 72 )( 73 , 74 , 78 , 83 , 82 , 77 )( 79 , 84 , 88 , 89 , 90 , 85 81 , 86 , 91 , 93 , 92 , 87 ), ( 1 ,101 , 39 )( 2 ,100 , 32 )( 3 , 94 , 36 )4 ,111 , 38 )( 5 , 98 , 44 )( 6 , 97 , 34 )( 7 ,114 , 49 )( 8 ,106 , 52 )9 , 96 , 47 )( 10 ,113 , 35 )( 11 ,107 , 33 )( 12 , 95 , 40 )( 13 ,109 , 57 )14 ,124 , 51 )( 15 ,120 , 45 )( 16 ,102 , 60 )( 17 ,103 , 43 )( 18 ,119 , 62 )19 ,108 , 37 )( 20 ,116 , 58 )( 21 ,122 , 54 )( 22 ,105 , 59 )( 23 ,123 , 41 )24 , 99 , 53 )( 25 ,110 , 46 )( 26 ,121 , 42 )( 27 ,104 , 55 )( 28 ,117 , 61 )29 ,115 , 50 )( 30 ,118 , 48 )( 31 ,112 , 56 )( 63 ,163 ,132 )( 64 ,162 ,125 )65 ,156 ,129 )( 66 ,173 ,131 )( 67 ,160 ,137 )( 68 ,159 ,127 )( 69 ,176 ,142 )70 ,168 ,145 )( 71 ,158 ,140 )( 72 ,175 ,128 )( 73 ,169 ,126 )( 74 ,157 ,133 )75 ,171 ,150 )( 76 ,186 ,144 )( 77 ,182 ,138 )( 78 ,164 ,153 )( 79 ,165 ,136 )80 ,181 ,155 )( 81 ,170 ,130 )( 82 ,178 ,151 )( 83 ,184 ,147 )( 84 ,167 ,152 )85 ,185 ,134 )( 86 ,161 ,146 )( 87 ,172 ,139 )( 88 ,183 ,135 )( 89 ,166 ,148 )90 ,179 ,154 )( 91 ,177 ,143 )( 92 ,180 ,141 )( 93 ,174 ,149 ) ];18 ]:=2 , 3 , 5 , 8 , 14 , 24 , 40 , 34 , 20 , 12 , 7 , 4 )( 6 , 9 , 15 , 26 , 25 , 41 ,57 , 58 , 45 , 28 , 16 , 10 )( 11 , 17 , 29 , 46 , 30 , 18 )( 13 , 21 , 35 , 51 , 36 , 22 19 , 31 , 43 , 27 , 42 , 52 , 53 , 38 , 23 , 37 , 44 , 32 )( 33 , 48 , 61 , 60 , 47 ,59 , 64 , 63 , 55 , 39 , 54 , 49 )( 50 , 56 , 62 )( 65 ,129 )( 66 ,133 , 69 ,142 , 78 ,168 ,104 ,148 , 84 ,135 , 71 ,130 )( 67 ,136 , 72 ,152 , 88 ,162 , 98 ,140 , 76 ,132 , 68 ,131 )( 70 ,143 , 79 ,153 , 89 ,185 ,121 ,173 ,109 ,144 , 80 ,134 )( 73 ,154 , 90 ,169 ,105 ,186 ,122 ,156 , 92 ,138 , 74 ,137 )( 75 ,157 , 93 ,158 , 94 ,139 )77 ,163 , 99 ,164 ,100 ,141 )( 81 ,174 ,110 ,146 , 82 ,145 )( 83 ,171 ,107 ,170 ,106 ,181 ,117 ,151 , 87 ,172 ,108 ,147 )( 85 ,179 ,115 ,150 , 86 ,149 )( 91 ,180 ,116 ,166 ,102 ,165 ,101 ,160 , 96 ,159 , 95 ,155 )( 97 ,189 ,125 ,175 ,111 ,192 ,128 ,183 ,119 ,182 ,118 ,161 )(103 ,177 ,113 ,176 ,112 ,188 ,124 ,187 ,123 ,191 ,127 ,167 )114 ,190 ,126 ,184 ,120 ,178 ), ( 1 ,131 , 67 )( 2 ,133 , 65 )( 3 ,129 , 66 )4 ,137 , 69 )( 5 ,130 , 70 )( 6 ,136 , 68 )( 7 ,145 , 73 )( 8 ,134 , 77 )9 ,132 , 75 )( 10 ,149 , 72 )( 11 ,143 , 71 )( 12 ,159 , 81 )( 13 ,142 , 74 )14 ,141 , 87 )( 15 ,139 , 89 )( 16 ,170 , 85 )( 17 ,135 , 83 )( 18 ,169 , 79 )19 ,157 , 76 )( 20 ,176 , 95 )( 21 ,138 , 91 )( 22 ,165 , 78 )( 23 ,152 , 86 )24 ,151 ,103 )( 25 ,154 , 82 )( 26 ,153 , 90 )( 27 ,163 , 80 )( 28 ,160 ,106 )29 ,147 ,109 )( 30 ,187 ,105 )( 31 ,140 , 97 )( 32 ,156 , 93 )( 33 ,171 , 84 )34 ,184 ,112 )( 35 ,155 ,113 )( 36 ,181 ,101 )( 37 ,150 ,116 )( 38 ,182 , 88 )39 ,168 ,102 )( 40 ,167 ,120 )( 41 ,146 ,111 )( 42 ,144 ,108 )( 43 ,161 , 99 )44 ,180 , 92 )( 45 ,174 , 96 )( 46 ,173 ,123 )( 47 ,185 , 94 )( 48 ,148 ,114 )49 ,179 ,107 )( 50 ,189 , 98 )( 51 ,177 ,117 )( 52 ,172 ,100 )( 53 ,164 ,118 )54 ,166 ,115 )( 55 ,190 ,104 )( 56 ,162 ,119 )( 57 ,175 ,128 )( 58 ,192 ,110 )59 ,158 ,122 )( 60 ,191 ,121 )( 61 ,178 ,127 )( 62 ,183 ,125 )( 63 ,188 ,126 )64 ,186 ,124 ) ];1 ]:=[ 1 , 8 , 42 ];2 ]:=[ 1 , 10 , 14 ];3 ]:=[ 1 , 9 , 23 ];4 ]:=[ 1 , 55 , 109 ];5 ]:=[ 1 , 10 , 19 ];6 ]:=[ 1 , 17 , 47 ];7 ]:=[ 1 , 22 , 76 ];8 ]:=[ 1 , 15 , 41 ];9 ]:=[ 1 , 4 , 7 ];10 ]:=[ 1 , 13 , 102 ];11 ]:=[ 1 , 7 , 62 ];12 ]:=[ 1 , 21 , 59 ];13 ]:=[ 1 , 23 , 65 ];14 ]:=[ 1 , 53 , 88 ];15 ]:=[ 1 , 76 , 408 ];16 ]:=[ 1 , 30 , 86 ];17 ]:=[ 1 , 33 , 95 ];18 ]:=[ 1 , 66 , 130 ];1 ]:=[ 8 , 10 ];2 ]:=[ 7 , 17 ];3 ]:=[ 12 , 22 ];4 ]:=[ 8 , 28 ];5 ]:=[ 18 , 28 ];6 ]:=[ 12 , 33 ];7 ]:=[ 8 , 37 ];8 ]:=[ 12 , 40 ];9 ]:=[ 9 , 43 ];10 ]:=[ 8 , 46 ];11 ]:=[ 12 , 51 ];12 ]:=[ 12 , 58 ];13 ]:=[ 12 , 64 ];14 ]:=[ 10 , 73 ];15 ]:=[ 8 , 82 ];16 ]:=[ 12 , 85 ];17 ]:=[ 12 , 94 ];18 ]:=[ 12 , 97 ];if i <> fail then "(T^2)^#",String(g))); "Chiral map {" ,String(m),"," ,String(g),"}" ));else fi ;end );
Messung V0.5 in Prozent C=95 H=67 G=81
