8 phat 5 dirichlet min maxes function [0, 1, 0, 0, 1, 2, 0, 0, 1] 
dist 0=[341.90729122590798689   ,341.90729122590798689   ] 
dist 1=[317.94516188408316605   ,348.32310062042898110   ] 
dist 2=[283.36406925658817481   ,348.97605267293140065   ] 
dist 3=[247.53395736142103060   ,343.67584591825418182   ] 
dist 4=[182.01471563486139445   ,333.15509797823139878   ] 
dist 5=[125.13486208311347931   ,247.90418919725374564   ] 
dist 6=[70.359406818131398740  ,228.23272197235817181   ] 
dist 7=[9.3523868512441471587 ,161.46503829235547111   ] 
dist 8=[-42.682715170321027989  ,151.67633454066862134   ] 
dist 9=[-63.498033643003019537  ,32.614327087355217638  ] 
dist 10=[-71.491356100742964799  ,9.3460398925998238932 ] 
dist 11=[-77.812546476383553307  ,5.1192052665553474039 ] 
dist 12=[-85.847369955850104960  ,5.8455960130893805243 ] 
dist 13=[-86.045293197982839515  ,12.609104020132319125  ] 
dist 14=[-67.578217903605451437  ,19.464471179056510273  ] 
dist 15=[-53.814931961767309238  ,28.002701527091770542  ] 
dist 16=[-50.865139283977933425  ,36.691846290593181078  ] 
dist 17=[-2.1510953197509058268 ,38.512400123370039999  ] 
dist 18=[2.4454426244580070827 ,34.931170965131108483  ] 
dist 19=[-3.4688975360071855326 ,33.187612365792307842  ] 
dist 20=[-8.1333189540023010689 ,34.848959574950411129  ] 
dist 21=[-14.440397040439253585  ,34.412509168136189939  ] 
dist 22=[-20.799086265817613934  ,33.310143403329623982  ] 
dist 23=[-22.468225067235357587  ,25.010777086827000450  ] 
dist 24=[-15.424157662660171034  ,23.529110240947442792  ] 
dist 25=[-16.857978787998732663  ,2.7356024005747008586 ] 
dist 26=[-17.915333972464538468  ,3.1393523364451443237 ] 
dist 27=[-18.854543248678719595  ,6.7799860794518712834 ] 
dist 28=[-19.708802486629571835  ,9.0865894412184381718 ] 
dist 29=[-8.1464065438413881098 ,9.6874174254406645086 ] 
dist 30=[-8.0068097427859951061 ,3.7646158780696477345 ] 
dist 31=[-6.2708715080456065258 ,4.7690849159751977910 ] 
dist 32=[-6.0092812794365942610 ,5.2202632979157024628 ] 
dist 33=[.36163133473160415793,5.1680480837056583301 ] 
dist 34=[-.13167009125198288178,4.4512732003224194315 ] 
dist 35=[-.9421410964558369166 ,4.0467086445923854121 ] 
dist 36=[-1.4999769180262539845 ,4.0597176295100084218 ] 
dist 37=[-2.8306755207176471529 ,4.0895506251975539352 ] 
dist 38=[-3.7721826960587159568 ,3.9590883243155787911 ] 
dist 39=[-4.1765582924021053354 ,3.2071587893710424431 ] 
dist 40=[-1.4071956766126365091 ,2.8849729729476041936 ] 
dist 41=[-1.3178280320414524106 ,.51380886386253348445] 
dist 42=[-2.2693368669156047638 ,.45482617884741924729] 
dist 43=[-2.9656937934581054778 ,.74526098039016646064] 
dist 44=[-3.1596845919650455192 ,1.1725533869341022833 ] 
dist 45=[-.9655454689559118153 ,1.0846445545596505858 ] 
dist 46=[-.9410656088282354683 ,.62457602275937829668] 
dist 47=[-.72714003389112336477,.78826283369303715682] 
dist 48=[-.7495065094232259076 ,.73318648504231449416] 
dist 49=[.02234116362528213528,.84823682776284562839] 
dist 50=[-.15142503796995836179,.56371298758382471441] 
dist 51=[-.12284038997270117947,.66803546386777250598] 
dist 52=[-.31951778462217908316,.77451790802742229845] 
dist 53=[-.34080400797226555877,.53273760888374126803] 
dist 54=[-.40238727640890098402,.69795715166797909228] 
dist 55=[-.5207104782179002151 ,.39295768324224208339] 
dist 56=[-.32679098323849551402,.54755997789955257552] 
dist 57=[-.29282085142155984884,.0328180964914381853 ] 
dist 58=[-.27455424486063105784,.15739474298966169437] 
dist 59=[-.28611088424843422664,.39728463912637303145] 
dist 60=[-.38834024560435600966,.16576992448205547618] 
dist 61=[-.26994844233674742901,.54673941957310742287] 
dist 62=[-.11952646751815710876,.08479955298470357334] 
dist 63=[-.23998168534296564487,.58908803369136992039] 
dist 64=[-.08665128497552723382,.09821827500921201321] 
dist 65=[-.14520697752318648091,.37298360906397772982] 
dist 66=[-.09716782087022091245,.08457011839540910849] 
dist 67=[-.08648726485022490737,.3225088422328041418 ] 
dist 68=[-.10944281944020476817,.07187535528202625275] 
dist 69=[-.09931845731559693414,.24452992888034645804] 
dist 70=[-.08889387962073594622,.09639803805378058484] 
dist 71=[-.11412153962419220888,.2215297398874128748 ] 
dist 72=[-.06953151347593089161,.1139091937862574596 ] 
dist 73=[-.1370651486918326858 ,.04505340548261476918] 
dist 74=[-.03553963364647048600,.14004050219788407942] 
dist 75=[-.40439421304445816748,.01932239452088216165] 
dist 76=[-.04883732276360361884,.15016788939335475096] 
dist 77=[-.40619594804882555726,.03733498896693156634] 
dist 78=[-.01393559085986689524,.01078205675660806344] 
dist 79=[-.43911519925771635532,.10552565719746047785] 
dist 80=[-.01001085455419647531,.01179844058237288624] 
dist 81=[-.21740587880075807295,.19156984761318727318] 
dist 82=[-.00058991445085584886,.00880854110499599792] 
dist 83=[-.44005211719512258609,.25339620547938416994] 
dist 84=[-.00332339057552845655,.00818085582474998846] 
dist 85=[-.38834102904464576487,.31431068659224828084] 
dist 86=[-.00669666297671932523,.00770224044690520840] 
dist 87=[-.38241694777254072225,.33199671837456685263] 
dist 88=[-.00283312812351678516,.00546082454143826252] 
dist 89=[-.06807005068559095303,.30661315657958562958] 
dist 90=[-.00351347803253243926,.00118790829793490320] 
dist 91=[-.09458569786300704510,.29743583527358420776] 
dist 92=[-.00488595326104084424,.00277919213327304065] 
dist 93=[-.1401457904751289768 ,.37385589486296044843] 
dist 94=[-.00176075093517529069,.00127439683132827344] 
dist 95=[-.17364920470938897795,.38984127916346834948] 
dist 96=[-.00125741087353607889,.00139646506161380750] 
dist 97=[-.18945560696374541735,.39411248118844617892] 
dist 98=[-.00069274442910379709,.00107708844100986678] 
dist 99=[-.19895300228621371658,.38996623224865147437] 
dist 100=[-.00114487008068557029,.00122181096673748567] 
dist 101=[-.32031096922270802944,.40723092888076873833] 
dist 102=[-.00117461976174419810,.00114599345837169370] 
dist 103=[-.37356724744320151513,.40245593730424212195] 
dist 104=[-.00093129803066106237,.00085010022240213281] 
dist 105=[-.3765958487764131276 ,.09563140034708760086] 
dist 106=[-.00053452669575715922,.00018983107261363138] 
dist 107=[-.36483246655669985474,.13541870958580570981] 
dist 108=[-.00073052955377048378,.00037506392496157578] 
dist 109=[-.2615846953265735476 ,.15989462847871941749] 
dist 110=[-.00022165730895531534,.00017130713862317215] 
dist 111=[-.27976651799873069902,.14843203340224738583] 
dist 112=[-.00015470779481863150,.00018229399839681274] 
dist 113=[-.37993104675306556352,.20583020191666778004] 
dist 114=[-9.38921213506065261940e-05,.00013374245469743240] 
dist 115=[-.40688480655142410658,.2121154121815224737 ] 
dist 116=[-.00013499510850403282,.00015290852909877142] 
dist 117=[-.41245939503042225559,.26866669081756926907] 
dist 118=[-.00012955102027987269,.00015648589111455228] 
dist 119=[-.42204120689557355002,.26050172740394663472] 
dist 120=[-.00011104065140802524,.00012004026091812682] 
dist 121=[-.1776044515750665137 ,.19706302190973579123] 
dist 122=[-6.15044834590980003580e-05,7.45233656328323995620e-06] 
dist 123=[-.22259849609137485313,.16999843018466477731] 
dist 124=[-7.57138486502901874830e-05,3.85300993997154601440e-06] 
dist 125=[-.23888946851778931903,1.36007291444530904340e-05] 
dist 126=[-2.46955164960807957030e-05,2.01142181851115306660e-05] 
dist 127=[-.23905088645632488402,2.16382584972979805570e-05] 
dist 128=[-.1999158491035690639 ,2.12499192165686811310e-05] 
dist 129=[-.20068028355607325048,2.07956889007492863780e-05] 
dist 130=[-.12316505087064335923,1.65544792814854459380e-05] 
dist 131=[-.21528396197705431997,.11818095389928231878] 
dist 132=[-.15389834355162563874,1.32222104997323374390e-05] 
dist 133=[-.29107315817305696208,.03909992284969253403] 
dist 134=[-.1072012216553819019 ,1.23625629451023071550e-05] 
dist 135=[-.2732282276791296794 ,.08202594167792960731] 
dist 136=[-.03692184896731093003,.03260052531305737228] 
dist 137=[-4.74679319939102153690e-06,1.30081281402555654070e-06] 
dist 138=[-.1310389685376544051 ,.15924518998722291058] 
dist 139=[-.1188171510187706324 ,.24981370401487232527] 
dist 140=[-.19936118631856947075,.25312598843787964104] 
dist 141=[-.14991394144223440684,.25722022517204357875] 
dist 142=[-2.86693986242345173520e-06,2.58098141706247429560e-06] 
dist 143=[-.15338029730137793552,.27319889689021426941] 
dist 144=[-.17133131705347567677,2.72809120969763669200e-06] 
dist 145=[-.04659577547139470803,.17379535317688586317] 
dist 146=[-.12350041445633644805,1.99038761003916342270e-06] 
dist 147=[-.18903611231015325354,.29547702698859131209] 
dist 148=[-.20095069787819223634,1.69315741009308774490e-06] 
dist 149=[-.20661701794521122672,.32075268290723704021] 
dist 150=[-1.56824415616267989930e-06,.08765961836748120074] 
dist 151=[-.22748397433048693868,.3414832239113606014 ] 
dist 152=[-.07862282078868039202,.08512539269318027743] 
dist 153=[-6.00683573290142707810e-07,8.74627714399789372620e-08] 
dist 154=[-.08104012429930819282,.22965225234438791446] 
dist 155=[-.21562843884261999713,47209.389452620665010     ] 
dist 156=[-.08490151583179539584,.22235369647988688175] 
dist 157=[-.23263464329123558251,.04981712334924189796] 
dist 158=[-3.61460974432581178800e-07,2.97489785940246891890e-07] 
dist 159=[-.27365926309828015298,.03605656520970198236] 
dist 160=[-2.55144739992451428060e-07,.09057593039576219408] 
dist 161=[-.24415037263806458438,5.11607429533910873260e-07] 
dist 162=[-.01764605645018988865,.11937124733673019481] 
dist 163=[-.30671254010260888346,.07968295185397223072] 
dist 164=[-.08312873970134928980,.17720271919248082627] 
dist 165=[-.27227314318060777546,.09551980913673315447] 
dist 166=[-.09227533386282518687,.1199133847835423168 ] 
dist 167=[-.31325517023287190093,.10552576475742646242] 
dist 168=[-.22660704286957752617,.15197015261672521364] 
dist 169=[-4.03276011547532746790e-07,3.19410160506593744660e-07] 
dist 170=[-.26198931459385559381,.15244004887242673762] 
dist 171=[-.378658131317037483  ,.18714908716034781621] 
dist 172=[-.24917057357754124142,.17160453043251843556] 
dist 173=[-.32965117910946487141,.21997719677440193845] 
dist 174=[-4.05126977866262215770e-08,4.96629085241174338390e-07] 
dist 175=[-.2934051566412843207 ,.23749473285754103757] 
dist 176=[-.14913160705537220493,.27016708996333782882] 
dist 177=[-.39691346836343078527,.40651655875457832942] 
dist 178=[-.26463352616039807344,.28407176419536294291] 
dist 179=[-.40081750180793906113,.42512749590556092216] 
dist 180=[-.27901495254488615041,.27885907316260324388] 
dist 181=[-.27269355599785948857,.40267931151256491599] 
dist 182=[-.20433070148454364077,.19176997600573770435] 
dist 183=[-.29829340546292122128,.43206395353926703266] 
dist 184=[-.27807921485228474559,.16340176659324145342] 
dist 185=[-4.63507122556568064570e-07,5.52613188460614431740e-06] 
dist 186=[-.40733889970771755793,.15265202831487722134] 
dist 187=[-1.21196638718287026520e-05,1.36524089264511985300e-05] 
dist 188=[-.38591410108339489778,.16247571005837300775] 
dist 189=[-2.37757829377663972390e-05,2.17787236495595227460e-05] 
dist 190=[-4.95042530606767181380e-09,.16590687123045433942] 
dist 191=[-2.73049410418495370660e-05,2.42392045454475153010e-05] 
dist 192=[-8.88162715117459948370e-09,.11479717002651980273] 
dist 193=[-2.73331373104288953240e-05,2.18070113764381850090e-05] 
dist 194=[-.04965835339433745351,.13395152337509949442] 
dist 195=[-2.74263573370991226340e-05,1.57891533655914103650e-05] 
dist 196=[-.04913576203687116815,.13702265766854650788] 
dist 197=[-2.75195866982911699440e-05,4.53057009427572147980e-05] 
dist 198=[-.02388436235425161461,.14471940225282276259] 
dist 199=[-2.75478150395461882040e-05,5.48527449984892729290e-05] 
dist 200=[-.10498268646392298019,.14358894259135572833] 
dist 201=[-1.18810688444601276690e-07,4.53051257805648237790e-05] 
dist 202=[-.10272849456705381227,.14736320309752486967] 
dist 203=[-1.39188609370258268060e-07,3.57304011063268860690e-05] 
dist 204=[-.12313942329959553289,.1529622073916065097 ] 
dist 205=[-1.79683065884386041970e-05,1.20327831101646756770e-06] 
dist 206=[-.12880999071014888307,1.17920718936372688560e-06] 
dist 207=[-2.75430260883143419100e-05,1.01762340460611478090e-06] 
dist 208=[-.25544733076987996488,.12687288022664352983] 
dist 209=[-2.39579780918729381680e-05,4.86534487850253424880e-07] 
dist 210=[-.29939588285484464463,.16004857304104888733] 
dist 211=[-1.79411892975661579750e-05,2.88505150934721575950e-07] 
dist 212=[-.30244880404340240639,.16599388495392754585] 
dist 213=[-1.42668084992669990480e-06,1.82450798884591416130e-05] 
dist 214=[-.23780743586522059415,.14869278913676815665] 
dist 215=[-1.53732588505719029410e-06,2.42347559999334155830e-05] 
dist 216=[-.2881098136930946623 ,.18821820040130109288] 
dist 217=[-1.42745151487843485710e-06,2.53904719818911579110e-06] 
dist 218=[-.27663412494843424237,.19235640985394998046] 
dist 219=[-1.53809722041587334640e-06,2.96480440990268602930e-06] 
dist 220=[-.26222906215571267748,.18925537982078069369] 
dist 221=[-1.00205734531771699510e-06,2.98007882914037627590e-08] 
dist 222=[-.17370775061540500342,.01073027242955637794] 
dist 223=[-1.53811474210963363300e-06,8.74481601252303767630e-09] 
dist 224=[-.22974345270333446211,.01061408298272047790] 
dist 225=[-1.32846728850000159010e-06,5.60536745464773729140e-09] 
dist 226=[-.27716972877528401937,.04306141436235187896] 
dist 227=[-1.00190893987870234240e-06,4.71345278177948792020e-09] 
dist 228=[-.28023996083704611449,.04938211960257994410] 
dist 229=[-1.14005279590803263950e-07,9.45689122767173707860e-07] 
dist 230=[-.23635082014703000384,.11118850877317891263] 
dist 231=[-1.28848390190255401880e-08,1.27209958189639830290e-06] 
dist 232=[-.2897442462784269047 ,.10075968454962903348] 
dist 233=[-1.33776365642660867780e-08,2.20772573056419224140e-07] 
dist 234=[-.28672894985444058619,.11136142221818385755] 
dist 235=[-1.52351552540348011390e-08,1.72450367713324962570e-07] 
dist 236=[-.27307312260428068067,.11205177019022142457] 
dist 237=[-9.66135791290411066690e-08,4.82119234800234660740e-08] 
dist 238=[-.02558908166187032349,5.73743066672698129240e-08] 
dist 239=[-1.44125777722700875400e-07,2.07272153105383236140e-09] 
dist 240=[-.14651253879466574928,.30440837190100349296] 
dist 241=[-1.21227435165505181140e-07,2.16743218741765140890e-09] 
dist 242=[-.11039854444760311952,.27540269673756514675] 
dist 243=[-7.85686254884425199050e-08,3.42081283155861409340e-09] 
dist 244=[-.10131875110945146262,.27170141500823000403] 
dist 245=[-1.28081309725394037580e-08,8.61304948049094750920e-08] 
dist 246=[-.05470185419592099592,.16310959130329094803] 
dist 247=[-9.92387751469583174900e-10,6.03086672943324820140e-08] 
dist 248=[-1.47092542431684290870e-08,.29428133575467565934] 
dist 249=[-2.17341360828628352600e-09,2.43913126559375946700e-08] 
dist 250=[-.04765000840898187443,.30030982966555445557] 
dist 251=[-2.86170236368750211300e-09,6.92164417451057861600e-09] 

8 phat 5 dirichlet min maxes function [2, 1, 2, 0, 2, 1, 0, 2] 
dist 0=[341.56449992047288559   ,341.56449992047288559   ] 
dist 1=[323.71761468844001863   ,347.40506610809173638   ] 
dist 2=[272.22070137933051569   ,351.50020387819704166   ] 
dist 3=[212.12089016941559479   ,352.37029669605634817   ] 
dist 4=[159.98751857357086068   ,308.28871941248911207   ] 
dist 5=[108.61167624227305524   ,261.22244976152451674   ] 
dist 6=[49.828990404442051701  ,241.48522428557703949   ] 
dist 7=[-2.1358702837246840343 ,176.44841293997280971   ] 
dist 8=[-27.280424438049603034  ,164.13331932674417916   ] 
dist 9=[-39.882410131171050798  ,27.258312535659292834  ] 
dist 10=[-51.718178133055299835  ,4.7786116776679323263 ] 
dist 11=[-72.373427839941178884  ,5.9517144602160886464 ] 
dist 12=[-81.249628194820770313  ,13.318821779430923659  ] 
dist 13=[-84.844580480658177046  ,22.425523513130254720  ] 
dist 14=[-83.673453189417742707  ,34.066545153068763873  ] 
dist 15=[-66.791275314596636238  ,43.201682058258675872  ] 
dist 16=[-63.675108616494724917  ,44.958433057677876691  ] 
dist 17=[-1.1792964190970224374 ,39.903419383593658951  ] 
dist 18=[7.3393469234872135331 ,39.123452504010365688  ] 
dist 19=[-.45846043095779968843,36.298057660327371770  ] 
dist 20=[-8.8325619820974864224 ,41.011254517272681330  ] 
dist 21=[-17.389868240527469662  ,41.141452950800876130  ] 
dist 22=[-21.992508356048777521  ,39.724043483377044771  ] 
dist 23=[-24.028295761049343488  ,31.191539822202760427  ] 
dist 24=[-23.820132893487016548  ,28.684699078661543101  ] 
dist 25=[-20.599584822230410951  ,4.6128334147036441418 ] 
dist 26=[-21.492007636257915669  ,.15901738783261806901] 
dist 27=[-25.804124050749212643  ,6.2113334173998711537 ] 
dist 28=[-27.369541823250207569  ,13.070160067932896372  ] 
dist 29=[-9.5953484919961484419 ,17.402743106458198061  ] 
dist 30=[-9.4301525338509735206 ,18.530285375083507238  ] 
dist 31=[-7.5245166008444262567 ,5.8094867130912182150 ] 
dist 32=[-7.1080493997637682790 ,5.7676469052268893252 ] 
dist 33=[.30624107379143842252,4.8468461957851200087 ] 
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dist 176=[-3.47380717899011506500e-08,2.25347678120152223270e-05] 
dist 177=[-.34307987699366857144,.52768825273590591094] 
dist 178=[6.13532194830209210050e-09,2.09052423714095452760e-05] 
dist 179=[-.23409192893913594489,.5311710508259031124 ] 
dist 180=[-3.09316958889162473740e-05,2.08726232891289625590e-05] 
dist 181=[-.26251554734753506108,.36908373507564628358] 
dist 182=[-4.33985473863076438370e-05,2.08612924746269307770e-05] 
dist 183=[-.32523454207631197843,.67542796266016465905] 
dist 184=[-5.01173676787626348650e-06,2.10007740353599613310e-08] 
dist 185=[-.30162429091325671844,.66802942961071439066] 
dist 186=[-7.50399207459585302220e-06,2.47369983065383116920e-06] 
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dist 188=[-1.65377661053622172630e-05,1.65243147324325177700e-05] 
dist 189=[-.16302340402954817508,.35379657352647549087] 
dist 190=[-7.18398128375133313140e-06,2.18584573007976942190e-05] 
dist 191=[-.1802194393919771695 ,.34718101854121185609] 
dist 192=[-9.76980545693636222230e-07,2.13930598410309375020e-06] 
dist 193=[-.17529619035717762659,.32791610601646998136] 
dist 194=[-9.94605507542214996460e-07,2.04382261600246112680e-06] 
dist 195=[-.19391430763112754059,.31935099688456536409] 
dist 196=[-3.18234831200967397200e-06,2.37088377673115279030e-06] 
dist 197=[-.20541622588484800235,.32904821897348552461] 
dist 198=[-4.51892421145628395950e-06,2.46814429909343314930e-06] 
dist 199=[-.23227063072780135687,.37244466325429086349] 
dist 200=[-9.02263281994785829290e-07,1.96855075280863206500e-06] 
dist 201=[-.21328356363783765266,.36202323045313309497] 
dist 202=[-1.04904286460592778340e-06,2.07281120783071520690e-06] 
dist 203=[-.20161400546705984793,.36245111228377778577] 
dist 204=[-3.24911147131409641550e-06,2.30250125060842362350e-06] 
dist 205=[-.20270996172317826919,.35712381378656993069] 
dist 206=[-4.50359356487793283980e-06,2.45744129079153659870e-06] 
dist 207=[-.17513078260512786915,.11457662338117962076] 
dist 208=[-2.06169049117654160360e-07,9.96075603103064176780e-06] 
dist 209=[-.25312937256104413701,.14827287587342164732] 
dist 210=[-9.88431866908215057610e-08,9.52061644881657205640e-06] 
dist 211=[-.28604558195495651251,.1704875318000136238 ] 
dist 212=[-1.48312281354813712950e-05,1.10434420101768665100e-05] 
dist 213=[-.36738238077083237132,.18987772967727731686] 
dist 214=[-2.10507493159702870000e-05,1.05673300868411611750e-05] 
dist 215=[-.39726921100509732161,.19980547026051035729] 
dist 216=[-4.11544067214866550720e-06,1.71338188561699792870e-07] 
dist 217=[-.41025443626343388531,.22459969451071986189] 
dist 218=[-4.84123844246516901560e-06,8.11683250935960761210e-07] 
dist 219=[-.40895906004260692737,.22611491450029917554] 
dist 220=[-6.93056031200765853130e-06,8.41907307519964741090e-06] 
dist 221=[-.19436324692158134434,.22556002144159414851] 
dist 222=[-2.76692844517082324590e-06,1.14327509401258328790e-05] 
dist 223=[-.16198837397954719237,.25704390574564127308] 
dist 224=[-2.33453480928908254500e-05,2.70994220286619750620e-08] 
dist 225=[-.15296879500620159866,.33520169242768963166] 
dist 226=[-3.05751944061765107960e-05,1.23952968063384321720e-05] 
dist 227=[-.15300126828296194625,.38737010378778612816] 
dist 228=[-7.99599890764790279470e-05,6.90254940743782923160e-05] 
dist 229=[-.16528189186590652175,.40135329912806180582] 
dist 230=[-3.34457302485032030220e-05,.00010484504016281313] 
dist 231=[-.15695499145625846493,.38534123922066628705] 
dist 232=[-2.02444306801516336750e-05,.00010020112978865205] 
dist 233=[-.17590689730710861676,.39462217375192208234] 
dist 234=[-3.56617703037297893880e-05,.00010020128441254783] 
dist 235=[-.18669606144045207863,.33468164316909808549] 
dist 236=[-.00014838441334493921,.00010020162515616824] 
dist 237=[-.18743729375412471727,.13420272246716897332] 

8 phat 5 dirichlet min maxes function [2, 1, 1, 2, 2, 0, 1, 1, 2] 
dist 0=[332.84600725501390711   ,332.84600725501390711   ] 
dist 1=[318.83263206513253449   ,334.80254803609489259   ] 
dist 2=[293.73431105260818057   ,332.84600725501390711   ] 
dist 3=[236.99853710963919579   ,323.24185667985780602   ] 
dist 4=[174.62999090664800311   ,310.95525906730848808   ] 
dist 5=[120.89407093486132497   ,238.66269840413393895   ] 
dist 6=[67.950355589658201010  ,207.22267054733284333   ] 
dist 7=[7.5515161724610628563 ,147.96852111540890444   ] 
dist 8=[-44.340732381293932252  ,136.98523416007417744   ] 
dist 9=[-64.610552789368184143  ,42.976934067981070228  ] 
dist 10=[-72.211378558821347927  ,2.7694089811825735207 ] 
dist 11=[-74.019677546636346803  ,-30.380642555817173318  ] 
dist 12=[-68.276966637166229083  ,-22.003236348852559665  ] 
dist 13=[-70.488384861578305785  ,-3.6710231334287022490 ] 
dist 14=[-69.373117456151046343  ,12.938041210548023169  ] 
dist 15=[-54.711782020388577530  ,25.963027015720669397  ] 
dist 16=[-52.433750711838477265  ,35.788020568453375650  ] 
dist 17=[-11.336262099469178396  ,36.488852930728933458  ] 
dist 18=[5.3132407283387880397 ,35.640682476380870921  ] 
dist 19=[8.2226373236418185514 ,32.171701421067606148  ] 
dist 20=[-6.8901212434369399746 ,31.876663184520783304  ] 
dist 21=[-17.882280918149137042  ,32.383258812254296302  ] 
dist 22=[-25.017055430335220288  ,31.410764371552337679  ] 
dist 23=[-26.734223124552114529  ,25.628347964874005666  ] 
dist 24=[-9.4097313216894364530 ,23.025039757185702425  ] 
dist 25=[-9.3293202002139708546 ,7.6446778255227015017 ] 
dist 26=[-18.037830083424302114  ,1.4053155575010193588 ] 
dist 27=[-23.625481369825384265  ,-.26257642711875827497] 
dist 28=[-24.836160661869717507  ,.09104605971460156531] 
dist 29=[-8.4466361936676256616 ,2.3400235680994797857 ] 
dist 30=[-6.8416340589509348311 ,4.1443708723645168356 ] 
dist 31=[-6.7177055832211414788 ,5.0871538846012488473 ] 
dist 32=[-5.0091757565658939489 ,6.2729897267803216772 ] 
dist 33=[-1.0771408068631842779 ,5.3927393755921565242 ] 
dist 34=[.35597786678622383386,5.1859168080977502716 ] 
dist 35=[.35182072404874267279,4.1220233150076371366 ] 
dist 36=[-1.7089323353235989075 ,3.7323330518540433332 ] 
dist 37=[-2.2615799346418738127 ,3.6864768096824838161 ] 
dist 38=[-4.0120837199202884628 ,3.6080300541742462246 ] 
dist 39=[-3.3205044206393804518 ,2.9151921904499309686 ] 
dist 40=[-3.6728936661783591810 ,2.6538605688249118318 ] 
dist 41=[-2.1917992939955187564 ,.45065414263395738786] 
dist 42=[-3.4670663283873659832 ,1.4999985944484578021 ] 
dist 43=[-3.4833915861458372756 ,.58236453757570914914] 
dist 44=[-2.4873284547066367688 ,1.3702746555119870984 ] 
dist 45=[-.80774450348240507311,.80559578474087310763] 
dist 46=[-1.6468428663137040881 ,.94600943027884101252] 
dist 47=[-.9078960605286676864 ,1.0986851956680918984 ] 
dist 48=[-1.3197578656948916389 ,1.1234431245502830485 ] 
dist 49=[-1.0538470049407123582 ,1.1445664205972706397 ] 
dist 50=[-1.1218553663576395548 ,1.4610940625308465437 ] 
dist 51=[-1.1610377935093273176 ,1.0338152444944446727 ] 
dist 52=[-1.5658607380486205930 ,1.0141236016030081540 ] 
dist 53=[-1.1879205996051606666 ,1.0115403591781590302 ] 
dist 54=[-2.0204686826297035139 ,.960257735009718382  ] 
dist 55=[-1.1459299711492281762 ,.95049245756032518792] 
dist 56=[-1.1181453550983743895 ,.93604820404478926206] 
dist 57=[-1.1059208228327503657 ,.93175353977440816905] 
dist 58=[-1.0386145805785095657 ,1.3717675978543678639 ] 
dist 59=[-1.0248655727622957002 ,.91139245836812249829] 
dist 60=[-1.4626730035485937026 ,1.2427851910709202760 ] 
dist 61=[-.97544275316619634597,.8864324417449299243 ] 
dist 62=[-1.1429958640884052434 ,1.1263468735633890615 ] 
dist 63=[-.64976645424877663333,.41198471505064855101] 
dist 64=[-2.0852948807017739229 ,2.1420995425347672433 ] 
dist 65=[-.92466560501500657984,.2884865831387743801 ] 
dist 66=[-2.0482158703938831157 ,2.1230517917280619877 ] 
dist 67=[-.77382472644058197717,.26067121871150325748] 
dist 68=[-2.4229081095440875865 ,1.8583283933678669571 ] 
dist 69=[-1.2039862634646159807 ,.51219685188059069367] 
dist 70=[-2.3923917274249134726 ,1.8124428435209805441 ] 
dist 71=[-1.2227300854377521145 ,.75817385513097679683] 
dist 72=[-1.2677665288832237963 ,1.9345883225898811004 ] 
dist 73=[-1.4191293546639296911 ,.94626828021070807144] 
dist 74=[-1.2313517396865373625 ,1.8961530780610426831 ] 
dist 75=[-1.4586189469204825201 ,1.1178711608658075918 ] 
dist 76=[-1.1886658636055004432 ,2.3389863768975753700 ] 
dist 77=[-1.1588242533586192641 ,1.2982652273949674441 ] 
dist 78=[-1.2892132756739946623 ,2.2822197633822976737 ] 
dist 79=[-1.3696880733255777500 ,1.4474181735498295253 ] 
dist 80=[-1.4183607379801708394 ,2.2489337917223687383 ] 
dist 81=[-1.4663188267370349977 ,1.4969353904118251542 ] 
dist 82=[-1.4952722675751025706 ,2.3404765635220347424 ] 
dist 83=[-1.5076310198553610543 ,1.5044068043086516767 ] 
dist 84=[-1.5101126920532164328 ,2.2685953728315240570 ] 
dist 85=[-1.5086613226585841197 ,1.4950284750903963953 ] 
dist 86=[-1.3786946705441386389 ,2.1648833913612135703 ] 
dist 87=[-1.3558559119614661214 ,1.2769195374856316153 ] 
dist 88=[-1.3104178567097827262 ,1.9003968240480891847 ] 
dist 89=[-1.2988643605323690603 ,1.2016612368858193180 ] 
dist 90=[-1.2419856455110160520 ,1.8596624862955644478 ] 
dist 91=[-1.2271076282782795795 ,1.1151407179245751630 ] 
dist 92=[-1.1907637544524498177 ,2.2847976419102319457 ] 
dist 93=[-1.1773474009957573787 ,1.0611358998305964057 ] 
dist 94=[-1.1202836748897870176 ,2.2335796529519059560 ] 
dist 95=[-1.1245626433220342050 ,1.0040895086096637616 ] 
dist 96=[-1.1189712440486640671 ,2.1885867430977076573 ] 
dist 97=[-1.1213093353805729661 ,.98676734308029141219] 
dist 98=[-1.1142612161413980906 ,2.2906463461612692221 ] 
dist 99=[-1.1156138046406282240 ,.93724101000165585405] 
dist 100=[-1.1085607102018039255 ,2.2360025547722111878 ] 
dist 101=[-1.1903849164559950634 ,.90738949162246736499] 
dist 102=[-1.0960676747166266770 ,2.1347060283833566862 ] 
dist 103=[-1.2116631745518163536 ,.74222036900052147594] 
dist 104=[-303.12979941872564207   ,.68207667387213872983] 
dist 105=[-1.3404681331108994420 ,.67675564187018177719] 
dist 106=[-1.0847310766576372894 ,2.0296943676637022740 ] 
dist 107=[-1.3756665256877195083 ,.6134866934476849309 ] 
dist 108=[-1.0996915954101366551 ,1.3043647237761072713 ] 
dist 109=[-1.0505543806813611556 ,1.3246274795889646752 ] 
dist 110=[-1.0250398769310128078 ,1.6037747562610625618 ] 
dist 111=[-1.0223670404548560870 ,1.7874935998179480023 ] 
dist 112=[-1.2044509688789936853 ,2.2556868593606425419 ] 
dist 113=[-1.1144269144851838321 ,2.1136819362606352435 ] 
dist 114=[-1.3400218294990369039 ,2.3018470237926420353 ] 
dist 115=[-1.2262191053134369743 ,2.3093335480057208087 ] 
dist 116=[-1.2717213686720137224 ,2.3481823983711537278 ] 
dist 117=[-1.3285104659585598328 ,2.3679098054880094413 ] 
dist 118=[-1.3832358103749500228 ,2.3726916746813842834 ] 
dist 119=[-1.4096380926728138371 ,2.3700591302784222382 ] 
dist 120=[-1.4803768937337893221 ,2.3614898715473765842 ] 
dist 121=[-1.4242852542371420860 ,2.3528933808945388949 ] 
dist 122=[-1.4342713768972832421 ,2.3184588438322708495 ] 
dist 123=[-1.3911291739880879207 ,2.3048883403585806424 ] 
dist 124=[-1.3982571993373446653 ,2.2613987504412424464 ] 
dist 125=[-1.3772948811919779155 ,2.2437594223638975779 ] 
dist 126=[-1.0798251002949591014 ,.64496176978787387919] 
dist 127=[-1.0953347368902142600 ,.73876315938008260564] 
dist 128=[-1.0973293870411134587 ,2.2943421928597272427 ] 
dist 129=[-1.1112944667139113599 ,.87869248978467236937] 
dist 130=[-1.1127022415705913394 ,2.3429030721188851874 ] 
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dist 133=[-1.7351782226155492112 ,1.2155982151700842078 ] 
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dist 135=[-2.1179894285524073902 ,1.3583689011917546561 ] 
dist 136=[-2.2091084553535410586 ,2.2745397667743058481 ] 
dist 137=[-2.3275646848300252970 ,1.4119767516208472118 ] 
dist 138=[-2.4011054547539485518 ,2.1165350384610288890 ] 
dist 139=[-2.4432312940651206162 ,1.4236671248320931170 ] 
dist 140=[-2.4602165027067482990 ,2.2319649768811682746 ] 
dist 141=[-2.4625364026475156892 ,1.4142835823178049375 ] 
dist 142=[-2.4371842441533645372 ,1.5108683597273590423 ] 
dist 143=[-2.4264788941413261402 ,1.7364579064703436294 ] 
dist 144=[-2.3714805915670377974 ,1.8933258161861965698 ] 
dist 145=[-2.3697235305525868467 ,2.0628217094964751235 ] 
dist 146=[-2.2150525237847085937 ,2.1866930456260903330 ] 
dist 147=[-2.1922172451623503254 ,2.2588057800309623377 ] 
dist 148=[-2.1439047599325854308 ,2.2979989852534758929 ] 
dist 149=[-2.1324622062992755804 ,2.3179029056319329709 ] 
dist 150=[-1.6253139177180135062 ,2.3232195868993357694 ] 
dist 151=[-1.5634008544792164760 ,2.3217032989685312872 ] 
dist 152=[-2.3382448359433173609 ,2.3148840191637591152 ] 
dist 153=[-1.3798262763807421585 ,2.3063109671577395704 ] 
dist 154=[-2.3910629583671964998 ,2.2785951529414069142 ] 
dist 155=[-1.1881196136842027094 ,2.2657257762210752804 ] 
dist 156=[-2.3279596333251267819 ,2.2283256233949451344 ] 
dist 157=[-1.0896950747374309669 ,2.2109178969391442765 ] 
dist 158=[-.07511673581103908273,2.1246444505752903693 ] 
dist 159=[.05767550276840509385,2.1197542060019146672 ] 
dist 160=[-.07638861116157230465,2.0855992229561766181 ] 
dist 161=[.03035818269597796689,2.0802459469557802512 ] 
dist 162=[-.08642898814347266887,1.9457385350163824180 ] 
dist 163=[-.05860077574868946412,1.9126573002927605471 ] 
dist 164=[-.43093579554584622445,1.8909928505260672771 ] 
dist 165=[-.70410717467971603054,1.8848357009733611847 ] 
dist 166=[-.87707593357870470286,1.3674280104168282841 ] 
dist 167=[-.98447080128049073406,1.2983536639620106079 ] 
dist 168=[-1.0980188668259884704 ,1.1626496523758732253 ] 
dist 169=[-1.1695846208134731159 ,1.1341401685817014081 ] 
dist 170=[-1.2021661365161906108 ,1.0209551425527520281 ] 
dist 171=[-1.2120157981015011079 ,1.0386302904381731452 ] 
dist 172=[-1.2129252869572047065 ,1.3182126286090283100 ] 
dist 173=[-1.0893177279059103905 ,1.5909279635918457509 ] 
dist 174=[-1.0729477736074589907 ,1.7650027015192794182 ] 
dist 175=[-1.0375521936406918479 ,1.8693241856876927417 ] 
dist 176=[-1.0310088517701259750 ,1.9693458688458537000 ] 
dist 177=[-1.2347340617297830571 ,2.0262237225466960289 ] 
dist 178=[-1.4389179631952722099 ,2.0462021685895153696 ] 
dist 179=[-1.5973942116424447813 ,2.0423629440869642602 ] 
dist 180=[-1.7525434323552542719 ,2.0352769971403390553 ] 
dist 181=[-1.9434679773032543400 ,1.6389630359079501820 ] 
dist 182=[-2.1237506411546811765 ,1.5773827099295633906 ] 
dist 183=[-2.2364564042290558250 ,1.4119824613306094687 ] 
dist 184=[-2.3211815844335869015 ,1.3860980525199034850 ] 
dist 185=[-2.3898539321366865172 ,1.1731532482905808604 ] 
dist 186=[-2.4430546376826650143 ,1.1327456943075141012 ] 
dist 187=[-2.4660730837048329576 ,1.0283358194654861321 ] 
dist 188=[-2.4720922711785965805 ,1.0077534763579668696 ] 
dist 189=[-2.4698124847941788321 ,.96231864848625520545] 
dist 190=[-1.1672009481825412657 ,.98802988006444293216] 
dist 191=[-1.1622589619481402067 ,1.2836946041881421964 ] 
dist 192=[-1.1566454171570709523 ,1.5219356709701922233 ] 
dist 193=[-1.1429932385838933417 ,1.7397259643570078573 ] 
dist 194=[-1.1353273639110900347 ,1.9275368538856628595 ] 
dist 195=[-1.1185866195069497891 ,2.0461395283320585141 ] 
dist 196=[-1.1129730747450481340 ,2.1366799771993842107 ] 
dist 197=[-1.0798542309860859637 ,2.2125026953273388036 ] 
dist 198=[-1.0683427115835813682 ,2.2664221703485906406 ] 
dist 199=[-1.0593097520372375677 ,2.3125236645290841378 ] 
dist 200=[-1.0530386639210499288 ,2.3272055868415434069 ] 
dist 201=[-1.0487096943973110669 ,2.3571728048254507192 ] 
dist 202=[-1.0477314611217345992 ,2.3620135623183765031 ] 
dist 203=[-1.0487802727402794242 ,2.3701501890985554595 ] 
dist 204=[-1.0524175922738776867 ,2.3610552324694691320 ] 
dist 205=[-1.0562911248588115838 ,2.3561745123112111119 ] 
dist 206=[-1.0582825752660284092 ,.97375300389666090318] 
dist 207=[-1.0589445731540167547 ,.85676186375915446946] 
dist 208=[-1.0810937924640990839 ,.57222529237297147523] 
dist 209=[-1.1837262957514498112 ,.53340851702993815271] 
dist 210=[-1.2513049562576332277 ,.12379502929080171413] 
dist 211=[-1.3062023594124112077 ,.10213120106783006254] 
dist 212=[-1.3583509398533680099 ,.06898328344490825317] 
dist 213=[-1.4007349620725340837 ,-.00242555855087696049] 
dist 214=[-1.4190608714962206891 ,.09131103300326166064] 
dist 215=[-1.4261981531266123549 ,.07326756568869770575] 
dist 216=[-1.4262001587290790507 ,.13740205917360750714] 
dist 217=[-1.3874472768308009924 ,.21003297400130698287] 
dist 218=[-1.3751627583844441661 ,.28673275186905103212] 
dist 219=[-1.3658511547131103012 ,.38094961203163381112] 
dist 220=[-1.3582901606090894809 ,.52353682655006191249] 
dist 221=[-1.1344693688399604481 ,.66547178117918341821] 
dist 222=[-1.0147338944177483070 ,.75711010580430172409] 
dist 223=[-1.0113195203311508492 ,.82942566178323560938] 
dist 224=[-.99848333657483014174,.89426601719419722133] 
dist 225=[-.99506896248830951586,.94937363804863883277] 
dist 226=[-.95619419119770710123,1.0339181532223652864 ] 
dist 227=[-.94838027490598952562,1.1177796513070576053 ] 
dist 228=[-.92456331509286275393,1.2092500515116725127 ] 
dist 229=[-.915513656068063853  ,1.2904140284812210456 ] 
dist 230=[-.78063861453536698143,1.3383361567434555189 ] 
dist 231=[-.76063484585675166264,1.3653549148337172623 ] 
dist 232=[-.70756540468119105369,1.3838752531213557844 ] 
dist 233=[-.69526201710247411187,1.3918931713396189349 ] 
dist 234=[-.60647744469738865744,1.3925848356390921183 ] 
dist 235=[-.58799387571092312789,1.3880450263597270439 ] 
dist 236=[-.55629410779705991154,1.3845479518291919890 ] 
dist 237=[-.54784536616063166047,1.0635335760448861687 ] 
dist 238=[-.34901842534226854935,1.0282093109964354806 ] 
dist 239=[-.46291642723604914205,.93506014889148163321] 
dist 240=[-.57238009865666594831,.91946249817204092277] 
dist 241=[-.67068659834775093856,.7578947752506909124 ] 
dist 242=[-.74002243937977320694,.72515724033568396703] 
dist 243=[-.80138880270323899045,.68670795134861946798] 
dist 244=[-.86783814405580660925,.67357396400805154375] 
dist 245=[-.92590910213462401261,.33862281287758895823] 
dist 246=[-.96611980340944491726,.20543891947919767082] 
dist 247=[-.98773841228786617826,.14511916328055226948] 
dist 248=[-1.0165158850813449748 ,.08268614153641646252] 
dist 249=[-1.0316519016941492576 ,.14550194436435213661] 
dist 250=[-1.0385509600917560707 ,.01202804802861047517] 
dist 251=[-1.0385301268398501419 ,.14411523177972419093] 

8 phat 5 dirichlet min maxes function [2, 1, 0, 0, 1, 0, 0, 1] 
dist 0=[360.07717619701492913   ,360.07717619701492913   ] 
dist 1=[331.10830239583641000   ,370.88214525255169927   ] 
dist 2=[269.87170009586692838   ,367.39652532318252599   ] 
dist 3=[201.96293064221045804   ,349.05100561036446143   ] 
dist 4=[146.61384396897651144   ,286.89394311563843824   ] 
dist 5=[94.827788754191651336  ,224.19524589929198365   ] 
dist 6=[39.765146426605038887  ,209.78101340326022344   ] 
dist 7=[-7.6105095752267505171 ,153.60307949916570441   ] 
dist 8=[-29.842249155103262951  ,128.16373094094345984   ] 
dist 9=[-67.898565205593649264  ,-3.2352883712794309698 ] 
dist 10=[-89.958169665008286734  ,-20.566548848370220450  ] 
dist 11=[-100.26074245571950984   ,-15.318544587589570028  ] 
dist 12=[-100.84802411455943339   ,-3.6042891857930820694 ] 
dist 13=[-83.753924315945582280  ,7.0969559874916890396 ] 
dist 14=[-80.608490961349359642  ,22.596031298426018649  ] 
dist 15=[-7.3597288414943299314 ,39.158026457099981212  ] 
dist 16=[10.033940794332019366  ,55.186036070055828663  ] 
dist 17=[12.591128065261334176  ,66.397488151163149263  ] 
dist 18=[2.8623426496150815753 ,68.132200262034263350  ] 
dist 19=[-7.6621860791548504702 ,59.481462349238176785  ] 
dist 20=[-14.601688648802090409  ,57.567426381275888814  ] 
dist 21=[-19.467417811298861611  ,39.411208458096176109  ] 
dist 22=[-20.557171413550958411  ,35.665651941059903250  ] 
dist 23=[-29.363003500314721176  ,7.5556830093606522928 ] 
dist 24=[-35.707040671557098362  ,3.3700281433121434110 ] 
dist 25=[-38.129726094763287546  ,6.9901344737346269499 ] 
dist 26=[-37.522042991772537366  ,13.984428121453851024  ] 
dist 27=[-31.859727333482432339  ,21.203115985350377427  ] 
dist 28=[-28.610925581369212923  ,25.987119254115904702  ] 
dist 29=[-8.8632487377697008247 ,29.149503128918708451  ] 
dist 30=[-8.4177961911959539642 ,30.370292785790310701  ] 
dist 31=[.00238896895920122725,30.181725879017945931  ] 
dist 32=[1.3775651554040074490 ,28.082850291761374533  ] 
dist 33=[1.7758219144670644932 ,7.5999301058983651337 ] 
dist 34=[.57733230861470591551,7.5533552571698829345 ] 
dist 35=[-.6670937092378775981 ,6.2765136138779764810 ] 
dist 36=[-1.4556155633431663953 ,6.0235166712442023537 ] 
dist 37=[-1.9606166715897050817 ,4.6838010314316013630 ] 
dist 38=[-2.0879818540088422960 ,4.3718086135568703289 ] 
dist 39=[-3.3268718718629887456 ,.51974761177925442233] 
dist 40=[-3.8424639341022110848 ,-.07633802534096217660] 
dist 41=[-3.9425789818344652866 ,-.47901798025135392744] 
dist 42=[-3.8295837331404144244 ,-.2138167301914066571 ] 
dist 43=[-3.1573565024370686220 ,.05900074254487418613] 
dist 44=[-2.8437635915007107329 ,.24137651439586798404] 
dist 45=[-1.4173408783996104352 ,1.1165125672227824140 ] 
dist 46=[-1.0396985315926310326 ,2.2039683523089656623 ] 
dist 47=[-.31063602456925898943,2.8879087192226341739 ] 
dist 48=[.22274673519961274952,3.0944088567509497723 ] 
dist 49=[.15841475633945246411,.92236811698949424732] 
dist 50=[.01047966964008115425,.90474987566670849121] 
dist 51=[-.14545631167172352845,1.0963255921080777897 ] 
dist 52=[-.26111929275746866513,.70531808975779053766] 
dist 53=[-.31268044737830814105,1.0664249934819581653 ] 
dist 54=[-.35331812462446989165,12.322157348617027181  ] 
dist 55=[-.50402910678794353612,.38371643727928896175] 
dist 56=[-.5673309494401803933 ,.04953633929352722955] 
dist 57=[-.83153928598693152054,.12875587852161527541] 
dist 58=[-.61579139623188472118,.17691033432639141021] 
dist 59=[-.52355315616455260092,.45992088216990456064] 
dist 60=[-.43895651021362254068,.3127612857214515437 ] 
dist 61=[-.40738562477013179625,.44213822928158935979] 
dist 62=[-.12135788328066115922,.3604572713556668831 ] 
dist 63=[-.26207793143440705508,.33987229856215421979] 
dist 64=[.02661593714302893733,.34797544050110417838] 
dist 65=[-.44957286035804570802,.38883654857841633941] 
dist 66=[.00755290203648927469,.11577186039399788563] 
dist 67=[-.500682742112737581  ,.56831082462927219796] 
dist 68=[-.02719504364088896349,.09187286223101975376] 
dist 69=[-.51909002820598944312,.54888491783534906692] 
dist 70=[-.03782133967305488098,.06546051457110865111] 
dist 71=[-.39780556312312857291,.45181434832460997118] 
dist 72=[-.06081633958765873901,-.00314255479201844786] 
dist 73=[-.58941435290077911407,.44400843808406027098] 
dist 74=[-.05834872226091267117,-.00329744182145342744] 
dist 75=[-.49126654373947475821,.45655802834988145444] 
dist 76=[-.04758385592501944831,.00394177470286301053] 
dist 77=[-.59139144624980029627,.39934239626471463238] 
dist 78=[-.03478741804758526035,.03450526944475762866] 
dist 79=[-.06933811030044554297,.3026131730450807765 ] 
dist 80=[-.00734436834480961425,.04750553701971045430] 
dist 81=[-.05633842307884998954,.24213618889895081826] 
dist 82=[-.00153626648371426832,.05360963346208443879] 
dist 83=[-.19519530978412381953,.33365802542632993901] 
dist 84=[-.04768527351075122474,.08311508244763729738] 
dist 85=[-.34655639466194084155,.34241809200171245506] 
dist 86=[-.02987924220240602584,.07524837596906152756] 
dist 87=[-.50544235859253491738,.07735299126647368981] 
dist 88=[-.02105819915944701440,.06865021068235260653] 
dist 89=[-.50978838721356751962,.40120741028731272858] 
dist 90=[-.03983264426780951162,.07855164750677816971] 
dist 91=[-.11267002903229399109,.3397670507419584105 ] 
dist 92=[-.00684205997554589673,.00046298329464631698] 
dist 93=[-.10785994606933334952,.51000088937013905964] 
dist 94=[-.11236858381718980415,.09641921783975117303] 
dist 95=[-.12400251841929674998,.58654812111320588806] 
dist 96=[-.13007528134915238938,.08793702790958574184] 
dist 97=[-.23854993455854629756,.61964057602313420241] 
dist 98=[-.12912694135130529647,.09568709978251393510] 
dist 99=[-.29074421515926477804,.24022580502591737064] 
dist 100=[-.12796457817508805574,.03015914449569425514] 
dist 101=[-.29558676487504967628,.09723481854225171990] 
dist 102=[-.14518409436655521559,.07109052325966821661] 
dist 103=[-.24204093077793502403,.09258899488876249666] 
dist 104=[-.16157029368524219173,.06380074130649022008] 
dist 105=[-.29795581456733108   ,.38640097288924961852] 
dist 106=[-.16047141964871812976,.06602289642959230161] 
dist 107=[-.25871763688902658583,.39060153991122983147] 
dist 108=[-.00062635733548578502,6.63322675154415456790e-05] 
dist 109=[-.22126453168470468869,.42394565663068124361] 
dist 110=[-.15015730766025869721,.00054143013011872782] 
dist 111=[-.15883012089363323729,.08743658777937336071] 
dist 112=[-.1621118320436988563 ,.00073576784737736718] 
dist 113=[-.32177013808870768007,.22022272599568598901] 
dist 114=[-.16515116964475622224,.00044043536219486911] 
dist 115=[-.36912420804718310664,.21040379925254382932] 
dist 116=[-.13127447781499313883,.00020226157805709615] 
dist 117=[-.36862847442904874971,.31142636993584142679] 
dist 118=[-.13290516581321379015,.00014863154815049776] 
dist 119=[-.11827897561218322429,.36540257310597258339] 
dist 120=[-.14728774822313000684,.00014759350837698978] 
dist 121=[-.09718019428069972370,.36635010719961106223] 
dist 122=[-.13937980136903852572,.00659519794882186378] 
dist 123=[-.2047798894296055745 ,.07877187900576017834] 
dist 124=[-.00036713599517194598,2.03361248921582142160e-05] 
dist 125=[-.32468356501280882969,.07362321969408295127] 
dist 126=[-.00048900837587790056,.07748959873885865575] 
dist 127=[-.40532714931514010973,.06751633462175303034] 
dist 128=[-.00134404391769023064,.00112477498038241264] 
dist 129=[-.41714775561798031617,.09412888569318389624] 
dist 130=[-.00105677087510207058,.00173071972028697161] 
dist 131=[-.28611253950398635512,.07548177445972468679] 
dist 132=[-.00026037895726174375,.00165115234135933784] 
dist 133=[-.20613972718922986114,.15816118310359966657] 
dist 134=[-.00054571756548356431,.00164596835187072697] 
dist 135=[-.10833705843241807437,.22125541668809238197] 
dist 136=[-.00242814376027999388,.00163436314493615232] 
dist 137=[-.20542784015565178036,.23314227265330006608] 
dist 138=[-.00340896915886436700,.00167484569590079030] 
dist 139=[-.19721137357849281478,.22002291411697561929] 
dist 140=[-4.48235284642676661830e-06,1.02068983946238042360e-06] 
dist 141=[-.19397368173311895738,.24011033462428725471] 
dist 142=[-3.29745471278088318290e-06,1.55884247529936280900e-06] 
dist 143=[-.09282378355842373746,.16103770364595275234] 
dist 144=[-3.39283925406760420610e-06,4.11009549514615866090e-06] 
dist 145=[-.21572832636435810547,.21969086209800181173] 
dist 146=[-3.80739428236758610330e-06,5.49874407326431193440e-06] 
dist 147=[-.20304266359062434721,.20950975673030489879] 
dist 148=[-6.64250611204510440230e-07,2.29757286107461717820e-06] 
dist 149=[-.20762084899067211233,.20157336964559197817] 
dist 150=[-9.25585379010629570070e-07,1.64569315466643662390e-06] 
dist 151=[-.09163415585614827255,.04353903801377930905] 
dist 152=[-2.42980012964729777170e-06,1.32121933869495576010e-06] 
dist 153=[-.21390877662789502893,.13587661468275519805] 
dist 154=[-1.97061497241416899500e-06,1.59566044252090863340e-06] 
dist 155=[-.21265678869842076856,.13852137789447141324] 
dist 156=[-6.83798786740319638460e-07,1.15153839402850602370e-07] 
dist 157=[-.20814963439399145391,.14833637978648705815] 
dist 158=[-4.71672332153720017180e-07,1.80749735644648906800e-07] 
dist 159=[-.13392859198192404718,.17387713593242909885] 
dist 160=[-3.10521675686802210410e-07,4.48439506503929878550e-07] 
dist 161=[-.23334604939677810154,.17647677397077928336] 
dist 162=[-3.50632610863912387670e-07,6.32389005399720674350e-07] 
dist 163=[-.21849402808237197473,.16676553874694610766] 
dist 164=[-1.01355473885743696440e-07,5.28972079805228011660e-07] 
dist 165=[-.23243070558621989831,.17184356262937879091] 
dist 166=[-1.38526726721611330700e-07,4.63997141896274967120e-07] 
dist 167=[-.16544680344195201177,.13606332580376811963] 
dist 168=[-5.71917448515915296480e-07,3.19236940386863627230e-07] 
dist 169=[-.12057021435374619161,.21072180494876677332] 
dist 170=[-8.36937532935310888220e-07,1.68998737545261130370e-07] 
dist 171=[-.14650131747445394096,.22428065140179175193] 
dist 172=[-6.52064309445619340430e-08,1.37186029426455214630e-06] 
dist 173=[-.13787521860355992935,.24161049346419511033] 
dist 174=[-4.96863698677910612080e-08,1.33515578912128322660e-06] 
dist 175=[-.10777640458891411819,.15724790612232892135] 
dist 176=[-2.13090028669445016550e-06,1.61571046841467438730e-06] 
dist 177=[-.11108549478115738742,.30746151995695628686] 
dist 178=[-3.01056170634351430040e-06,1.56784887718204006040e-06] 
dist 179=[-.12475753569833985155,.30576904203226189211] 
dist 180=[-5.60488748732640089890e-07,3.30274741487513489310e-08] 
dist 181=[-.14573210775291977301,.30645310017702994563] 
dist 182=[-6.76735550354867213720e-07,1.36580082063777301630e-07] 
dist 183=[-.15859497652732361411,.15404309014806451334] 
dist 184=[-1.00378533465888261190e-06,1.20264545961288841370e-06] 
dist 185=[-.15688219859742155758,.15185853080516355041] 
dist 186=[-4.09395007187424653860e-07,1.62653197086500958680e-06] 
dist 187=[-.17076692915258714032,.14396018580854682442] 
dist 188=[-3.38861906981178272620e-06,4.76829467981051063400e-09] 
dist 189=[-.17193505496613660489,.13940940123407300689] 
dist 190=[-4.43222845314281993940e-06,1.78976247254639988390e-06] 
dist 191=[-.16437864957941853421,.14006692779878336435] 
dist 192=[-1.15761891512289199980e-05,9.99657316850014302610e-06] 
dist 193=[-.16099928548249631729,.16239964647747691566] 
dist 194=[-4.83792049555545475200e-06,1.51862633008119949750e-05] 
dist 195=[-.11789259423484765616,.14855595230094907754] 
dist 196=[-2.92657185268054751600e-06,1.45130188412041016280e-05] 
dist 197=[-.10118774454628324512,.16102375380610519741] 
dist 198=[-5.16120216717479195900e-06,1.45122721134789890160e-05] 
dist 199=[-.08410579478906937258,.16537986307883249539] 
dist 200=[-2.14893305916687419160e-05,1.45106105749676355160e-05] 
dist 201=[-.07907310329022817616,.16276987151664946465] 

8 phat 5 dirichlet min maxes function [0, 1, 1, 1, 0, 0, 2] 
dist 0=[299.50254089736543963   ,299.50254089736543963   ] 
dist 1=[288.70542103042465360   ,302.67784657376149716   ] 
dist 2=[269.54912672763721600   ,301.11290572238606614   ] 
dist 3=[241.75326931572862546   ,279.41486716688211865   ] 
dist 4=[196.58458017221614025   ,276.02081261622438839   ] 
dist 5=[148.57292620670069059   ,194.41833336633584142   ] 
dist 6=[109.61193810104169391   ,182.28911928653722889   ] 
dist 7=[71.773466070873935606  ,118.58557173632728535   ] 
dist 8=[28.579135418002399313  ,89.871490188909699171  ] 
dist 9=[-13.802443943744399180  ,22.154167642668267458  ] 
dist 10=[-41.478338490587103793  ,10.612264960649588613  ] 
dist 11=[-55.603655656410011612  ,-10.606089507664089827  ] 
dist 12=[-60.097686168794016980  ,-15.008308313491793063  ] 
dist 13=[-54.247410662212633649  ,-9.8896896385897753890 ] 
dist 14=[-52.681314039010302227  ,6.2373351077613390857 ] 
dist 15=[-39.845541778854561233  ,20.940239485243915143  ] 
dist 16=[-38.496294058356926989  ,34.361815033105092209  ] 
dist 17=[-7.1875935633039637261 ,43.847659178000921067  ] 
dist 18=[-3.5476706790931065498 ,45.704121455423275960  ] 
dist 19=[3.7275326549202029000 ,40.700936698402882959  ] 
dist 20=[4.1646419159686053100 ,39.927746655243015043  ] 
dist 21=[3.4935610653834701296 ,29.276667707872925048  ] 
dist 22=[-8.4687174435253842575 ,27.035505880523983328  ] 
dist 23=[-17.143163044692752355  ,21.967374298356173331  ] 
dist 24=[-23.011565049815833721  ,19.461071979987646243  ] 
dist 25=[-24.010495584836893383  ,5.2582776672920378619 ] 
dist 26=[-26.279048368310131619  ,1.5302774225008663667 ] 
dist 27=[-22.595073350467876753  ,-3.6663677645327879158 ] 
dist 28=[-23.230811671067908786  ,-4.0379081249844821119 ] 
dist 29=[-6.2883060176202031125 ,6.0935489509559627742 ] 
dist 30=[-4.5363105010603600405 ,12.949084599715255146  ] 
dist 31=[-5.3358985678567010755 ,17.280829103065387603  ] 
dist 32=[-3.3319267492726784329 ,18.407997664078310132  ] 
dist 33=[-2.4524326065836508272 ,5.7754130548946324062 ] 
dist 34=[.06309756670680888864,5.7686068951684784861 ] 
dist 35=[-.88357107000586638201,4.7630694603773565295 ] 
dist 36=[.90023624615958572189,7.2707002695095481825 ] 
dist 37=[-.31879030296157423713,2.2930645684632476952 ] 
dist 38=[-1.8042273385858569133 ,2.7118535872650285397 ] 
dist 39=[-2.8110016273256655405 ,1.7835248210320060408 ] 
dist 40=[-3.2319742584299277215 ,1.5992944282866244075 ] 
dist 41=[-3.3005852148938642777 ,.27825926520902252501] 
dist 42=[-3.2262350404347908431 ,.01694270586680202775] 
dist 43=[-4.1478425894109851624 ,.04052409791067577945] 
dist 44=[-3.2001832318808419391 ,1.5958887790364956757 ] 
dist 45=[-1.5508515934203337283 ,.62823392381717016678] 
dist 46=[-2.0979204813766985132 ,4.2228537635092390535 ] 
dist 47=[-1.0218036279395406117 ,1.8549675733586069613 ] 
dist 48=[-1.8517042297440876443 ,4.9994691129994785615 ] 
dist 49=[-.18283367996594337074,1.3072876141089187977 ] 
dist 50=[-.02828012444166512558,.76701600988597782549] 
dist 51=[.03524536422909354196,1.5338359048644771741 ] 
dist 52=[-2.0225592629947174358 ,.57991239000435870549] 
dist 53=[-.03770563774759452446,1.2518192471325476133 ] 
dist 54=[-3.2755647499144966835 ,.31693251755183275748] 
dist 55=[-.35048068462138508762,1.2095937559628879745 ] 
dist 56=[-3.6271557356244670724 ,1.1136960488467671057 ] 
dist 57=[-.4022805882382601517 ,1.1788607947713037741 ] 
dist 58=[-3.7464680919479334194 ,.84131949628216680964] 
dist 59=[-.31738088518903681903,1.1020100948220129087 ] 
dist 60=[-3.5887903140200426469 ,-.05182377740861154879] 
dist 61=[-.06508196904737549875,1.0820558366620153780 ] 
dist 62=[-3.3623736210873129438 ,.22591503551326116086] 
dist 63=[-.04768444051249622745,1.0969280655383737574 ] 
dist 64=[-3.1853706449826989687 ,.31301155954758230211] 
dist 65=[-.00477664259241687022,1.1206841327948559985 ] 
dist 66=[.00090150279685628148,.09309317550169752550] 
dist 67=[-.20842802358556600597,1.1080096927916204060 ] 
dist 68=[.01191263208744589839,1.2882764491048548765 ] 
dist 69=[-.77836490950262775758,1.0137830654765585812 ] 
dist 70=[-.17073633015420194267,2.2281996621144173138 ] 
dist 71=[-1.0330934498312354886 ,.93388286955343100477] 
dist 72=[-.22561825723800684812,2.3682652682419960992 ] 
dist 73=[-1.2991127221064460574 ,.77663407047133221256] 
dist 74=[-.41434051076815250977,3.1421304019991004243 ] 
dist 75=[-1.3587831891692955122 ,.69910036911945336365] 
dist 76=[-.22698555969348536753,3.3917312771799935328 ] 
dist 77=[-1.5603496322993805753 ,.1257988316963499044 ] 
dist 78=[-.05966852823755032661,3.5510207275477361540 ] 
dist 79=[-1.6035146229158470011 ,.08374826582073582586] 
dist 80=[-.00522657024942159688,3.5564523918056959369 ] 
dist 81=[-1.5594996217628991775 ,.1915507151073941114 ] 
dist 82=[.00028187052803597927,.01200508299377301398] 
dist 83=[-1.5356741996657318584 ,.17249689872062946204] 
dist 84=[.00146772500516703132,1.8310810273164300721 ] 
dist 85=[-1.3133831742042274703 ,.82555093244458906051] 
dist 86=[-.00387747332310501225,1.9609493230593104619 ] 
dist 87=[-1.3574309873324215115 ,.98214681889856220119] 
dist 88=[-.00634173334055365586,1.9398818984233340768 ] 
dist 89=[-1.3802947089144214796 ,1.1248392950874209890 ] 
dist 90=[-.00619955280780062430,1.7096117287854163612 ] 
dist 91=[-1.4483910692969453115 ,1.1608862394194873926 ] 
dist 92=[-.00433470649805692915,1.6293213845922004380 ] 
dist 93=[-.00095358810879636138,1.2475838747083535601 ] 
dist 94=[-.00092175507676657779,1.5408780577783387728 ] 
dist 95=[-.00069027009222912669,1.3128398921154570060 ] 
dist 96=[-.22554658425553479301,1.6334506832280976628 ] 
dist 97=[-6.83609138501996612490e-05,1.3934542935505352727 ] 
dist 98=[1.13867353428593691080e-05,.00141245326251669559] 
dist 99=[.00014488632444270625,1.4247952893589615557 ] 
dist 100=[-2.1454950754271573584 ,.94740817071917605965] 
dist 101=[-.29315125348753478647,1.5618546681246600073 ] 
dist 102=[-2.2610061208253284139 ,1.2280010793827609445 ] 
dist 103=[-.54686848352611431186,1.6967257344216952148 ] 
dist 104=[-2.4078892933629483068 ,1.2498276411093059949 ] 
dist 105=[-.81581598047077152311,1.7611575702246849433 ] 
dist 106=[-1.7311302064942087186 ,.39757858475413183109] 
dist 107=[-.8846724311604409128 ,1.7397825750636076618 ] 
dist 108=[-2.3272411985013781668 ,1.5626688889914876852 ] 
dist 109=[-1.0990254390169291238 ,1.0033000885332991949 ] 
dist 110=[-2.0967246255470374885 ,1.7266305849465765951 ] 
dist 111=[-1.1508283835318014979 ,.75716791207592434609] 
dist 112=[-2.0363189956654331530 ,1.8936652773349004274 ] 
dist 113=[-1.1794244942043299263 ,.55718774566064569136] 
dist 114=[-1.01918724554664320350e-05,.00017978958874473449] 
dist 115=[-1.1718703292351362228 ,.50458432523692562766] 
dist 116=[0                     ,1.1445092310089158122 ] 
dist 117=[-1.1864016260028297451 ,.16041996286253497737] 
dist 118=[-6.05344639217773664580e-05,1.4366600996037591532 ] 
dist 119=[-1.3300730336311918955 ,.05558979908794545101] 
dist 120=[-1.0273015942873745743 ,1.5011933038833708696 ] 
dist 121=[-1.3869325602017865859 ,2.51431496043847570850e-06] 
dist 122=[-.94369783593464311372,2.0870044343942070911 ] 
dist 123=[-1.3681277295115801939 ,-1.08717240135995557490e-05] 
dist 124=[-6.42354117824269435520e-05,2.1001730960744029159 ] 
dist 125=[-.00014830337359241660,.00028178811481011341] 
dist 126=[-1.36469480987457837950e-05,2.2341123880804433557 ] 
dist 127=[-.00015304712870954061,.00041134424180405350] 
dist 128=[-9.65193194027397013180e-06,2.3257702264992781717 ] 
dist 129=[1.44022652367659232550e-06,2.20875748915079847420e-05] 
dist 130=[4.68635697280869701210e-06,.55823641142199943015] 
dist 131=[6.71974260154186762350e-06,.00016710981347868295] 
dist 132=[-1.6031562372507519133 ,1.4636008915035228341 ] 
dist 133=[-3.82922435919578809110e-06,3.81832882542663080700e-05] 
dist 134=[-1.8700414226570583215 ,1.5427830461459833981 ] 
dist 135=[-.00018767381895630172,1.01843166794431302740e-05] 
dist 136=[-1.9552158329487836287 ,1.5025455035792045256 ] 
dist 137=[-1.32722210248218351520e-05,7.12664598594877476660e-07] 
dist 138=[-2.2036037393703557599 ,1.1360003734260569722 ] 
dist 139=[-.00018111297541042460,1.40372757058050596460e-05] 
dist 140=[-2.2181040628576266195 ,1.1493860519734599826 ] 
dist 141=[-.00017075612383360354,.00022598947598387550] 
dist 142=[-2.2588671644667106234 ,1.2912338135107005600 ] 
dist 143=[-.00017507744522071605,.00036295457272232675] 
dist 144=[-2.2042527298111747050 ,1.1579319010022486290 ] 
dist 145=[-1.1846789240417649632 ,2.78237864099609856590e-06] 
dist 146=[-1.1851336378298741451 ,2.68857373168068397610e-06] 
dist 147=[-1.1808202939010991823 ,2.01427943542634097860e-06] 
dist 148=[-1.1814688297985881402 ,1.91078346980189081180e-06] 
dist 149=[-1.2773068916372299737 ,9.05143658242857648710e-07] 
dist 150=[-.74933067434763944064,8.70295317772246634190e-07] 
dist 151=[-1.2984227862431675620 ,6.59285005690486894150e-07] 
dist 152=[-.84230665596623014758,.39544734607321149175] 
dist 153=[-1.0326598005418142785 ,4.72756767397239052400e-08] 
dist 154=[-.73767939933998397674,.58370225261021157685] 
dist 155=[-18841738.807001517957        ,-1.88220177494475675350e-07] 
dist 156=[-.70684635212837345443,.74250235520714771836] 
dist 157=[-1.1945210221542293122 ,4.62998243383392608440e-07] 
dist 158=[-1.98832127130762751120e-07,8.12867061547065222580e-07] 
dist 159=[-1.2167437486542074693 ,1.05897461423040917740e-06] 
dist 160=[-.59077013231963385251,.51133294640927582241] 
dist 161=[2.12923372891166291850e-08,.9800335927177918965 ] 
dist 162=[-.8446464820782630464 ,.27912719342020122626] 
dist 163=[9.81351069269273433810e-08,.97996748337796733954] 
dist 164=[-.84538479617416241981,.37961904717353455439] 
dist 165=[-4.32439956811064561800e-08,1.0891539588920219570 ] 
dist 166=[-1.0250598597844093485 ,.78880342636213030547] 
dist 167=[-1.71737240275531413540e-07,1.1011126584711932455 ] 
dist 168=[-1.0877686538197615437 ,.65079603795159891007] 
dist 169=[-.11212064579038944925,1.0411488960062091556 ] 
dist 170=[-1.3985261081320577995 ,.76867900487479546834] 
dist 171=[-.18351564104945956834,1.1133968403190743331 ] 
dist 172=[-1.3723745965982756195 ,.77589578756561678706] 
dist 173=[-.34623996365886769689,1.0123406496633885075 ] 
dist 174=[-2.38833227956400722490e-08,7.86349399165717547620e-08] 
dist 175=[-.33962526386567556839,.97427343479148694982] 
dist 176=[-1.2768086575655893272 ,1.3691202472216861098 ] 
dist 177=[-1.5153592399603605213 ,1.4274378216727070130 ] 
dist 178=[-1.3043274509059142653 ,1.3261786675310980053 ] 
dist 179=[-1.5375742470948083474 ,1.4202283335727216238 ] 
dist 180=[-1.3061785223327820218 ,1.3463300586372896712 ] 
dist 181=[-1.6386258638613496556 ,1.4323502914427364872 ] 
dist 182=[-.83188535749924501065,1.0805645399364710613 ] 
dist 183=[-1.6714707391045532906 ,1.4268802975908649727 ] 
dist 184=[-1.3063074785174303360 ,1.1566879809439495596 ] 
dist 185=[-1.4321438249446661687 ,.88489837073696987636] 
dist 186=[-1.2212231738816562981 ,1.1994689266303587181 ] 
dist 187=[-1.5765359763273444939 ,1.1078889274187650224 ] 
dist 188=[-1.1357890855328367624 ,1.2389971437787104586 ] 
dist 189=[-1.4397980325439673580 ,1.1413677383374694917 ] 
dist 190=[-3.74470189048246729660e-09,1.13610262447551740640e-08] 
dist 191=[-1.4341968626087566959 ,1.2363683750404851323 ] 
dist 192=[-.4640091050584771875 ,1.55608348689705578500e-08] 
dist 193=[-.50361194979930724143,.48559329777224044009] 
dist 194=[-.74216333356828575367,.36834152335943359362] 
dist 195=[-.49964742308728052021,.46049775747119802   ] 
dist 196=[-.74093812964140139166,.36667552436170021357] 
dist 197=[-.65414553800212600343,.72998766180980510644] 
dist 198=[-1.1140722458110619176 ,.2041718904743365539 ] 
dist 199=[-.67154540528671216058,.64624957457462465422] 
dist 200=[-1.1498797943186394650 ,.27351643715595241358] 
dist 201=[-1.0350245033885898325 ,.9359136513344908325 ] 
dist 202=[-1.1000038737011052963 ,.37785072625322746348] 
dist 203=[-1.0098706524941784635 ,.91933952110976842714] 
dist 204=[-1.1488971989196809919 ,.13603836767772993075] 
dist 205=[-.92805259836035731596,1.2953297874482735994 ] 
dist 206=[-1.71413767346395879920e-09,2.47286837571439141910e-09] 
dist 207=[-.95047822489342517686,1.1380303493284205960 ] 
dist 208=[-1.1041305963748715621 ,2.0696657233812148325 ] 
dist 209=[-2.4207321375814817781 ,1.23456001341423427390e-09] 
dist 210=[-1.0186765196833428193 ,2.4248748357257848791 ] 
dist 211=[-2.5157924458798718224 ,1.94364119901529668130e-09] 
dist 212=[-1.0636502495684636554 ,2.4288823748624043420 ] 
dist 213=[-2.2924548602781165334 ,1.62930135408563202870e-09] 
dist 214=[-1.22915360556783941740e-10,2.0203418965770034296 ] 
dist 215=[-2.2133634116999616737 ,1.65912479983614098420e-09] 
dist 216=[-1.0442822513297466805 ,2.4322063048911737996 ] 
dist 217=[-1.0131298970864013498 ,2.83931095653962061450e-09] 
dist 218=[-1.0083280220514828745 ,2.3652187601642183192 ] 
dist 219=[-1.4232265410344337026 ,3.73624014126280691970e-09] 
dist 220=[-1.0633698467901985760 ,2.2559040392888526754 ] 
dist 221=[-1.4584660056522614306 ,.12060883699238459662] 
dist 222=[-2.09300458927097535590e-09,6.72311040121765898550e-10] 
dist 223=[-1.6861470499112223891 ,.00602068814981841145] 
dist 224=[-1.47620246097024259690e-09,2.0442499962508638899 ] 
dist 225=[-.55627660636681579397,.58305063595860492953] 
dist 226=[-8.89923984074920417150e-10,2.3969742421613854007 ] 
dist 227=[-.45517532861516760807,.59054323159608405727] 
dist 228=[-8.41904031490417089740e-10,2.3986947311725094242 ] 
dist 229=[-1.5362839915136292147 ,1.0497676942886298697 ] 
dist 230=[-8.38620547566064355040e-10,2.0204094424783223347 ] 
dist 231=[-1.2993089312350200841 ,1.1610579417440291612 ] 
dist 232=[-8.69887491675927762980e-10,2.3694694335932033659 ] 
dist 233=[-2.3097161312756096278 ,2.1221176753168138823 ] 
dist 234=[-1.26299814366699233490e-09,2.3012864113240701254 ] 
dist 235=[-2.2541809293767412576 ,1.18692985277389197970e-09] 
dist 236=[-.00913250099697176364,2.1909485936288407496 ] 
dist 237=[-2.5403709351937208153 ,1.19818706813351555610e-09] 
dist 238=[-1.58382421706419062880e-09,1.14374835543505190200e-09] 
dist 239=[-2.4880379428315230046 ,.00787905637666244337] 
dist 240=[-1.1585072849499583787 ,8.03695048145470226540e-10] 
dist 241=[-1.1148099971227428791 ,9.72092363146991857680e-10] 
dist 242=[-1.1321798162461189033 ,1.50780648673210302960e-09] 
dist 243=[-1.1321979450205284859 ,1.84192175087388254270e-09] 
dist 244=[-1.1712671926622619917 ,.00916527147909243976] 
dist 245=[-1.0773654899657327012 ,1.87001923141483638400e-09] 
dist 246=[-1.1206710531986109600 ,.00680204910875673115] 
dist 247=[-1.0920539282793757602 ,1.38200274225476264770e-09] 
dist 248=[-1.1686596427129269719 ,6.53240342016718038970e-10] 
dist 249=[-6.14949813391437752520e-10,.43879291621020442091] 
dist 250=[-1.1020204918776459080 ,.44405446395746641828] 
dist 251=[-3.43648124942035056680e-10,.00016484674450033897] 

8 phat 5 dirichlet min maxes function [2, 2, 1, 0, 2, 0, 0, 1] 
dist 0=[374.21730469252174246   ,374.21730469252174246   ] 
dist 1=[352.55275457308231585   ,378.64082292508518193   ] 
dist 2=[302.62475360536177219   ,374.21730469252174246   ] 
dist 3=[245.73750459220475815   ,345.42710239326711663   ] 
dist 4=[196.56355680305873234   ,292.95379456799000903   ] 
dist 5=[147.71155440545805551   ,225.95359111522087340   ] 
dist 6=[91.149198855207925538  ,213.05560173800789978   ] 
dist 7=[30.914754579542570748  ,123.43148825690289345   ] 
dist 8=[-23.615019788485604716  ,79.418875124183078693  ] 
dist 9=[-61.946826562147115277  ,1.9961730277249727789 ] 
dist 10=[-83.369244554479022967  ,2.5969619468665422138 ] 
dist 11=[-93.277009168611870440  ,8.6211398152230589478 ] 
dist 12=[-93.916777273856016798  ,17.142981663808841070  ] 
dist 13=[-77.862301936159330453  ,27.261087033519424342  ] 
dist 14=[-75.256178818849705658  ,39.829577741698488819  ] 
dist 15=[-2.7658247601387513059 ,49.678608565636102859  ] 
dist 16=[9.0102077572591788122 ,51.351597569756838747  ] 
dist 17=[32.287215667194829227  ,46.098589855974791855  ] 
dist 18=[20.136344327935170166  ,44.311428215551987432  ] 
dist 19=[-.49484345319578195292,44.867617612485494190  ] 
dist 20=[-14.601579301942696504  ,43.935884571508589720  ] 
dist 21=[-24.662435479075919062  ,36.600600658792192941  ] 
dist 22=[-29.826053449125526642  ,33.135272280103455687  ] 
dist 23=[-31.964393205713064138  ,6.9970532569400567871 ] 
dist 24=[-33.940662493595659843  ,1.7856294265365616597 ] 
dist 25=[-31.791230219425521211  ,-4.1619097895387840170 ] 
dist 26=[-33.787014082685253900  ,-1.3813575675239723523 ] 
dist 27=[-13.030188286261152509  ,11.152858987575109758  ] 
dist 28=[-10.299786499897925149  ,19.938933226159390756  ] 
dist 29=[-8.2305497146118837622 ,25.540831678477004050  ] 
dist 30=[-7.8268865472389036968 ,26.500615443385746653  ] 
dist 31=[-.0174107389336336794 ,5.2637610088241854090 ] 
dist 32=[1.2576757855583752612 ,5.2476487537920596520 ] 
dist 33=[3.7924226140751520873 ,5.1367652711409595314 ] 
dist 34=[1.8779104438583154286 ,5.7370588922854304301 ] 
dist 35=[-.11264820383700320876,5.7897465256080478216 ] 
dist 36=[-1.4115138404726196738 ,5.5919982416435322680 ] 
dist 37=[-2.2966713642259640795 ,4.3470677052207072951 ] 
dist 38=[-2.6695235565371870588 ,4.0601457039477415083 ] 
dist 39=[-3.5620306174464760145 ,.48143546476906315323] 
dist 40=[-3.7959548660356188752 ,-.07037013881488402994] 
dist 41=[-3.2119688232885853701 ,-1.1009170716541731989 ] 
dist 42=[-3.4254959265186607136 ,-.43931908427416566512] 
dist 43=[-1.4829254648369410506 ,.7788202174799132494 ] 
dist 44=[-1.4315230158851502032 ,1.5357472366911974257 ] 
dist 45=[-1.5636565249990887180 ,2.0154350534581045032 ] 
dist 46=[-1.0382574001631072262 ,2.1400434012598477277 ] 
dist 47=[-.25895887550196861634,1.1415514505652236868 ] 
dist 48=[-.07561843370983884159,1.2302808954943876158 ] 
dist 49=[.15610935015280239618,1.2292407356121791008 ] 
dist 50=[.12999333952896170612,1.1419889004680393496 ] 
dist 51=[-.07284849683484886953,.87621024902168111058] 
dist 52=[-.22187896972534846973,.65391221764027950725] 
dist 53=[-.34445154853066505404,.55087565296765147151] 
dist 54=[-.36518891821263490842,.47277944468108876315] 
dist 55=[-.42132245779273645876,.34714918890886708148] 
dist 56=[-.44968282464854469706,.01343932319438958629] 
dist 57=[-.64269982984616992196,.11719740518006327884] 
dist 58=[-.52903329165911934921,-.05283343636966348674] 
dist 59=[-.23322083717972201276,.08470006007280240638] 
dist 60=[-.15293040174386874801,.15487695098038964828] 
dist 61=[-.36862485454917072985,.22955398916995331272] 
dist 62=[-.1112779696150038017 ,.21982039755977208505] 
dist 63=[-.14527437135331759854,.26197168675910509923] 
dist 64=[.02535155647305759136,.08276768412334097703] 
dist 65=[-.335790086735037847  ,.24051888313519581175] 
dist 66=[.02542895327589791498,.08860458717100498896] 
dist 67=[-.21604144413217943157,.37498888250744703437] 
dist 68=[-.02610295262378225877,.08408688324527499448] 
dist 69=[-.05848400567258561253,.44484580235646952335] 
dist 70=[-.04353361144895462283,.05995462495686476047] 
dist 71=[-.06495216167562930210,.40493991161814309825] 
dist 72=[-.04311620336575656952,-.00255695000553540237] 
dist 73=[-.08275860206541862958,.32263330712118780665] 
dist 74=[-.05275848165576062500,-.00595573276205121423] 
dist 75=[-.22976881719440163852,.2176100766729480098 ] 
dist 76=[-.01943471023613838799,.02462205754181595562] 
dist 77=[-.01470772706901675804,.4164923074026132517 ] 
dist 78=[-.01400313573580911447,.03484670397307603431] 
dist 79=[-.1556302891702540109 ,.23943946954401262718] 
dist 80=[.00414498565656130135,.00991162657339202248] 
dist 81=[-.04921369066430011926,.27298678499609446697] 
dist 82=[.00252553461078894770,.01036095973640769381] 
dist 83=[-.38958775092649483537,.24795770199638979159] 
dist 84=[-.00383890652043276422,.00980470637676480952] 
dist 85=[-.19540542766460228416,.44782197524975551459] 
dist 86=[-.00590768604494639081,.00698594882298423523] 
dist 87=[-.35267175213938792272,.3095065248693176243 ] 
dist 88=[-.00588159552702775725,4.91665418334891525350e-05] 
dist 89=[-.3768671138621893168 ,.37105844043728975257] 
dist 90=[-.00804564685017878244,-.00059397200914128910] 
dist 91=[-.163997180922710194  ,.23531413235931534253] 
dist 92=[-.00229770017958387307,.00252102915038900718] 
dist 93=[-.10367763323206182016,.33317789439339337671] 
dist 94=[-.00164288969652650023,.00348341054433864986] 
dist 95=[-9.2456437005220285115 ,.4631426330657543106 ] 
dist 96=[-.00010540454860706588,.00136539124462863845] 
dist 97=[-.27764154707192678121,.54525925977596538887] 
dist 98=[-.00016807315159660540,.00187078715591045650] 
dist 99=[-.54174187918021865036,.54154726505237036138] 
dist 100=[-.00113610577130495165,.00175026732259763856] 
dist 101=[-.49750432437325258646,.2642643531837379153 ] 
dist 102=[-.00144586874677300396,.00123344835465877549] 
dist 103=[-.54019197152900927376,.21965839410629274063] 
dist 104=[-.00135452788105607832,-2.45330644596553628950e-05] 
dist 105=[-.44024871524273495509,.28223772249512790769] 
dist 106=[-.00094893572495166969,-8.54283469780301103560e-05] 
dist 107=[-.47020434051100583508,.09245272257256045935] 
dist 108=[-.00025967185208492711,.00101585592609259412] 
dist 109=[-.53837322820119484198,.40638210994613534074] 
dist 110=[-.00020696300710222442,.00087861159522362222] 
dist 111=[-.28080480972846917817,.00013891366758445258] 
dist 112=[-.00137380856908374294,.00013437938238170615] 
dist 113=[-.22049480134847513656,.50982258481316290569] 
dist 114=[-.00087235342152306619,.00035612712545884327] 
dist 115=[-.00262045144441691533,.39705082433383010136] 
dist 116=[-5.70745871104491390100e-05,.00303774709100123887] 
dist 117=[-.00015857745306975781,.50933126621559585321] 
dist 118=[-8.70680713620817290390e-05,.00187072677812634665] 
dist 119=[-.00150894737983979333,.48176279057131508064] 
dist 120=[-.00145386199937768287,.00073880699287086228] 
dist 121=[-.04558183429788766865,.53878618031038878599] 
dist 122=[-.00166941892059785102,.00125058320890724042] 
dist 123=[-.28456073600172879496,.00013943466319905351] 
dist 124=[-5.22982233372988667370e-05,.00018260581937832165] 
dist 125=[-.44636465602307988725,.00047629950564229747] 
dist 126=[-.00029537502031525805,.00034485236457342166] 
dist 127=[-.50174252888340386149,.00135286997171649723] 
dist 128=[-.00097341359969106841,.00128695811165850018] 
dist 129=[-.51977032462765645016,.00108065441703336882] 
dist 130=[-.00150559138467371700,.00101163972646348133] 
dist 131=[-.20751127335959101697,.00072000126044489218] 
dist 132=[-.00142466137624627966,.00019306433887732400] 
dist 133=[-.27702038613143444541,.02937261389949322293] 
dist 134=[-.00143279156310184588,.00046119888718262815] 
dist 135=[-.00155998339302651234,.17344759144689128722] 
dist 136=[-.00145087501879410518,.00213611843852928045] 
dist 137=[-.10685410178829640651,.23398446084258049132] 
dist 138=[-.00148943853511092246,.00299220263740031917] 
dist 139=[-1.80104429419869120010e-05,.23576178124466147371] 
dist 140=[-1.89110249216753069140e-05,5.65260266225884569230e-06] 
dist 141=[-.01127484587113798842,.21662734958346956184] 
dist 142=[-1.62534050314712064180e-05,7.73938262261874063430e-06] 
dist 143=[-1.43226279439037759610e-05,.16208061155785045809] 
dist 144=[-1.27212124725343522340e-05,2.12034519408841500510e-05] 
dist 145=[-.276389617659573398  ,.12596441567553569103] 
dist 146=[-1.14189938037412273590e-05,3.06265400691381670950e-05] 
dist 147=[-.28729787986910667289,.00489811504283090495] 
dist 148=[-8.71517002242518628070e-07,5.18700857318240567870e-06] 
dist 149=[-.31353743959974669228,6.88597895178951827960e-06] 
dist 150=[-1.30977713690209932310e-06,6.33615928316676459010e-06] 
dist 151=[-.3106368626283604724 ,.00072187081339973273] 
dist 152=[-1.18317452063431712410e-05,1.09196444665856385190e-05] 
dist 153=[-.30801349509561801198,.26359673067724326308] 
dist 154=[-1.58559913792064742640e-05,4.05658910117675830930e-06] 
dist 155=[-.04088432283575617627,.30258886814321649644] 
dist 156=[-1.73610602017776149420e-06,1.58945233602488172790e-05] 
dist 157=[-.04116638353009213483,.31529976300038885831] 
dist 158=[-1.22778758515998089210e-05,2.28482165432882278790e-05] 
dist 159=[-.00046864910846717037,.30401999949601549162] 
dist 160=[-5.53399240760047979360e-05,6.72817672068842970150e-05] 
dist 161=[-.01399851530354183563,.31655846852104493349] 
dist 162=[-8.46545448483944925970e-05,5.36854215084448276060e-05] 
dist 163=[-.05063118470559359808,.19306621914519083214] 
dist 164=[-8.08393685893195597450e-05,1.41935400316724735060e-05] 
dist 165=[-.1432158948010926481 ,.12396878779556789089] 
dist 166=[-8.09184893392154191840e-05,2.78241995132622405950e-05] 
dist 167=[-.19756686047524155374,.02713374561399321152] 
dist 168=[-8.10942958739863474330e-05,.00011996834833215314] 
dist 169=[-.21483414437318137952,.00913788930705837889] 
dist 170=[-8.36371263958324670040e-05,.00016824830402507664] 
dist 171=[-.02632692916183469395,.01104119917554829624] 
dist 172=[-2.25564542352569765920e-07,8.59535853281661777330e-08] 
dist 173=[-.02664388544606736508,.01171762755238817989] 
dist 174=[-1.89802701187464543010e-07,1.17197755440090241830e-07] 
dist 175=[-.01627247725766831829,1.91911468348046581870e-07] 
dist 176=[-1.36108621123881393330e-07,2.38430436473590104370e-07] 
dist 177=[-.01645462380700081866,.00056334494719047169] 
dist 178=[-1.16518687911342228650e-07,3.46454498037675124790e-07] 
dist 179=[-.01485309564384816145,.01080226273500621849] 
dist 180=[-1.46867845185201561540e-08,6.63265104075559060990e-08] 
dist 181=[-.01697359825069573212,.01980690721090907453] 
dist 182=[-2.11319142665269268300e-08,7.69151382945308641910e-08] 
dist 183=[-.00157458984007607195,.02831487567405028058] 
dist 184=[-1.34495184444290210800e-07,1.20682468273501655420e-07] 
dist 185=[-.00675211774694677322,.02945812312647046195] 
dist 186=[-1.82431775124207487740e-07,4.44024252297822798960e-08] 
dist 187=[-.0163571559308300247 ,.01769666140204070483] 
dist 188=[-1.94624247037595787380e-08,1.01139800987152501140e-08] 
dist 189=[-.02620336735531459679,.01755982459892511199] 
dist 190=[-1.68798109635803187590e-08,1.30998353777928784670e-08] 
dist 191=[-.02929447664511273498,.00132251966522521299] 
dist 192=[-1.50084237980834979070e-08,2.27576463638117262230e-08] 
dist 193=[-.03047118460170227222,.03055824140931160518] 
dist 194=[-1.34305793396485848130e-08,3.39813173555313793320e-08] 
dist 195=[-.01258731187286550187,.02260272496176354674] 
dist 196=[-7.25671045525362998290e-09,7.64221265039223741530e-09] 
dist 197=[-.01732588535011846171,.02917825321056820999] 
dist 198=[-9.28471864117749252470e-09,1.02864065645502456180e-08] 
dist 199=[-.00205565400606526248,.01257071602507074741] 
dist 200=[-2.04302406731871417580e-08,1.72691742876553018110e-08] 
dist 201=[-.00583511713352328291,.01557969534391012265] 
dist 202=[-2.70882419284728631520e-08,2.31631747944318243090e-08] 
dist 203=[-.01545757572636111492,.01519475141927202658] 
dist 204=[-6.92932933206814750450e-08,5.37944043453395497500e-09] 
dist 205=[-.01581066020214941532,.01432662994770941484] 
dist 206=[-6.75743848506092122290e-08,5.49198060337548829190e-09] 
dist 207=[-.00070181182973948325,.00962415208634458527] 
dist 208=[-8.16789832053114394130e-08,1.07800512034194875820e-07] 
dist 209=[-.01573095586164513243,.02978732622347939083] 
dist 210=[-7.82128659234644000480e-08,1.51081704829700231620e-07] 
dist 211=[-.00961844543465132177,.02447153337765566339] 
dist 212=[-3.92614682509852009390e-09,3.06755428871903197450e-08] 
dist 213=[-.01499044515901002076,.03004341893282345426] 
dist 214=[-8.19491191234765013110e-09,3.51875835090408208190e-08] 
dist 215=[-.01817169795476791977,.00275658544079481858] 
dist 216=[-5.98753828702854896790e-08,5.15751930836863295270e-08] 
dist 217=[-.02151425221878242984,.01456036987559027347] 
dist 218=[-8.16467795116275066470e-08,2.29222880164950174700e-08] 
dist 219=[-.03099948541008631041,.01744323036501478993] 
dist 220=[-4.36754245531941261370e-09,1.66033525826986507810e-07] 
dist 221=[-.02934421736005403142,.01866216586091106569] 
dist 222=[-8.99321461041604579560e-08,2.18521167777775274360e-07] 
dist 223=[-.00342076406209130405,.01797135903259938153] 
dist 224=[-4.95102832205448015730e-07,5.74371822488198589600e-07] 
dist 225=[-.00383798915256229124,.01878495215302789723] 
dist 226=[-7.51852908866252032580e-07,2.40851085084163837320e-07] 
dist 227=[-.00534128985997987934,.01064103502303758534] 
dist 228=[-7.18505447432029066880e-07,1.46009890081974689930e-07] 
dist 229=[-.00849101348044457243,.00738937896957453106] 
dist 230=[-7.18745443962599921120e-07,2.56295684650367622800e-07] 
dist 231=[-.01115632356251073993,.00244162939982870943] 
dist 232=[-7.19274279358257638750e-07,1.06477550531529814370e-06] 
dist 233=[-.0117934058313777179 ,.00046591973665928708] 

8 phat 5 dirichlet min maxes function [1, 1, 2, 1, 1, 2, 0, 1, 2] 
dist 0=[360.49774319021303173   ,360.49774319021303173   ] 
dist 1=[345.98514569671151284   ,362.35302168162735404   ] 
dist 2=[313.64125067528782346   ,361.21410707202212392   ] 
dist 3=[255.77008711711851097   ,352.76860740309304664   ] 
dist 4=[186.64704971476293339   ,275.82849790036118441   ] 
dist 5=[123.87513592193330106   ,254.59555750889038916   ] 
dist 6=[71.241527059712569650  ,194.42518419953520269   ] 
dist 7=[6.7343459463523155915 ,175.44328065025003369   ] 
dist 8=[-44.562260294601610669  ,52.521425002467848592  ] 
dist 9=[-64.806513412889884621  ,22.788036919537203701  ] 
dist 10=[-72.453717887104776198  ,15.680011089280076430  ] 
dist 11=[-77.368511003615165497  ,10.559078102840918111  ] 
dist 12=[-86.501459826668705589  ,12.828998897928181782  ] 
dist 13=[-86.976793536350738986  ,18.440831656354100513  ] 
dist 14=[-71.315491880669414681  ,28.471648448962220840  ] 
dist 15=[-63.611838404143766155  ,37.012393844817798474  ] 
dist 16=[-3.0921358161330232249 ,38.952854086433971121  ] 
dist 17=[6.6022618692413644932 ,36.304422019122202262  ] 
dist 18=[17.798788699621871360  ,35.935393152504346106  ] 
dist 19=[-.60216021137862225705,37.504436067715338640  ] 
dist 20=[-8.9459831162180884065 ,39.924376413479468113  ] 
dist 21=[-19.619373773865964154  ,37.243703736865533164  ] 
dist 22=[-26.400492327164204589  ,31.140713591986991169  ] 
dist 23=[-28.074260649632310294  ,26.962566104941715353  ] 
dist 24=[-20.919342150498040400  ,10.645229283212189854  ] 
dist 25=[-24.574298676180745607  ,5.0752367857027949612 ] 
dist 26=[-31.331416468736562996  ,2.5218445307804743870 ] 
dist 27=[-32.736172023105683417  ,11.670418066873438926  ] 
dist 28=[-10.213360288433025416  ,17.504023156209668885  ] 
dist 29=[-10.065942394038268288  ,21.227460909633440764  ] 
dist 30=[-8.3094829363850492134 ,22.273038827106178407  ] 
dist 31=[-8.0302181098465202035 ,6.7980233277680259861 ] 
dist 32=[-1.6385201007466138293 ,6.5255492157146992685 ] 
dist 33=[-.60923229693944599112,7.2709991493190485932 ] 
dist 34=[-.40216746289412632239,5.9000056852466846254 ] 
dist 35=[-1.9298260407812540660 ,6.1220081856332401307 ] 
dist 36=[-3.4617138222347493841 ,6.1738133624787031660 ] 
dist 37=[-3.9078418640222929594 ,2.9551841579548181013 ] 
dist 38=[-4.8940434989843576331 ,5.0199646010885150387 ] 
dist 39=[-4.7855510407272873154 ,2.1956228082930636634 ] 
dist 40=[-5.1777538745096309888 ,2.8534457167809280738 ] 
dist 41=[-4.6409502810680233379 ,.90102374229841880464] 
dist 42=[-4.7296201895794141268 ,1.1374358683076657631 ] 
dist 43=[-4.1599287760714599379 ,2.8078197338813774903 ] 
dist 44=[-3.2464103682003714462 ,.64565400258355803704] 
dist 45=[-2.5537924896278367043 ,3.9478558406785885057 ] 
dist 46=[-2.7637697267029752268 ,1.4740013292245772283 ] 
dist 47=[-1.8880649884704707626 ,2.1572200740261881036 ] 
dist 48=[-1.9113704550056120905 ,2.7130687397170154294 ] 
dist 49=[-1.9248620476852419184 ,3.1014245526430170337 ] 
dist 50=[-2.2804442908202900958 ,3.3257793711272092105 ] 
dist 51=[-2.8669406266098993843 ,3.5363297852803992625 ] 
dist 52=[-2.7322385201245823305 ,3.6285586545625062896 ] 
dist 53=[-2.7673872551288712855 ,3.6412326089449589229 ] 
dist 54=[-2.8128008145840518067 ,3.5492637242515245029 ] 
dist 55=[-1.4574364416070439103 ,3.5369986553794839434 ] 
dist 56=[-2.1554775223471857191 ,3.0362125366291378077 ] 
dist 57=[-2.3115610217795605288 ,2.9598826521593605622 ] 
dist 58=[-2.3151230722342455707 ,2.8042823057470344509 ] 
dist 59=[-1.7087732412995043856 ,2.7816666801983870179 ] 
dist 60=[-1.5639025929273984345 ,2.1003161633706540798 ] 
dist 61=[-1.7249662946825961180 ,2.1419814927369094629 ] 
dist 62=[-1.8177227285229655878 ,2.1118025339222210860 ] 
dist 63=[-1.9170000671651833156 ,2.1043619286270712944 ] 
dist 64=[-1.9737139682208268191 ,2.1466695820345527806 ] 
dist 65=[-2.1598633714948368630 ,2.1753485657825108503 ] 
dist 66=[-2.2837511038626305338 ,2.1408766421192885634 ] 
dist 67=[-2.5930747780484466528 ,2.1329026905536330110 ] 
dist 68=[-2.8164009102075670160 ,2.1535831781511400771 ] 
dist 69=[-2.9536580369948802551 ,2.1488164817960388842 ] 
dist 70=[-3.0527284391603957943 ,2.1768790522494453347 ] 
dist 71=[-3.1228192713995444389 ,2.1789716343899387215 ] 
dist 72=[-3.1645379018658503919 ,2.2612497138698037357 ] 
dist 73=[-3.1954959953605214657 ,2.1977348511464549098 ] 
dist 74=[-3.1961160761799681466 ,2.2263618017864710137 ] 
dist 75=[-3.1924007778024298741 ,2.2278300550977255464 ] 
dist 76=[-2.5341254038388469482 ,2.2565728110976862043 ] 
dist 77=[-2.4589979700447228723 ,2.2550715062871486485 ] 
dist 78=[-2.6228598715580130619 ,2.3015964163481658075 ] 
dist 79=[-4.0937191732022355815 ,2.3178816162593944623 ] 
dist 80=[-3.7897719847610293215 ,2.3445515477669268790 ] 
dist 81=[-4.1071022476682421155 ,2.3447866628461672685 ] 
dist 82=[-4.4404777189425229573 ,2.4558368704235231427 ] 
dist 83=[-4.7202868932134240423 ,2.3637883027697873411 ] 
dist 84=[-4.8150997207258592199 ,3.0550996538440212481 ] 
dist 85=[-4.9084552545579694602 ,2.3707074539566592718 ] 
dist 86=[-4.9032147495300066581 ,3.0399547653525688554 ] 
dist 87=[-4.8739790829380794320 ,2.4405589034113905191 ] 
dist 88=[-4.8541329917240898041 ,3.1506228139181717619 ] 
dist 89=[-4.8280887587603134019 ,2.4556678731435957537 ] 
dist 90=[-4.8073669047170960275 ,3.1325996852777828284 ] 
dist 91=[-4.9726574970678653576 ,2.4301649111681406457 ] 
dist 92=[-4.7082501670766937649 ,2.3411782502464839493 ] 
dist 93=[-4.9984303759002778882 ,2.3670730387344416192 ] 
dist 94=[-4.6003527165810023680 ,2.3410836476027942306 ] 
dist 95=[-3.9938310348332268392 ,5.0017401051402372296 ] 
dist 96=[-.23231360171964337241,2.3894843798144568928 ] 
dist 97=[-3.9649070221190454819 ,5.1485137114754322561 ] 
dist 98=[-.22257480169872699857,2.4388637043197202518 ] 
dist 99=[-4.6093239180462561826 ,4.5862718161019765587 ] 
dist 100=[-.1897037664723166518 ,2.5059869341780275803 ] 
dist 101=[-4.8030738081280319889 ,4.6767181335103289855 ] 
dist 102=[-.17013371668635897748,3.4594951155869344383 ] 
dist 103=[-4.2025189136978273087 ,3.9531200526528751463 ] 
dist 104=[-.83701932469783601286,4.2891892034767134762 ] 
dist 105=[-4.3997062230281771913 ,4.4890276467591170491 ] 
dist 106=[-1.8032931558097388059 ,4.7683946143159407093 ] 
dist 107=[-4.8692246338967764380 ,4.9433951570889440076 ] 
dist 108=[-3.2892000103382624824 ,5.0661314487148177351 ] 
dist 109=[-4.8897652626746557114 ,5.1188601911274808034 ] 
dist 110=[-4.0925087865636369617 ,5.1784394449640393506 ] 
dist 111=[-4.4581073186110138567 ,5.1944113383393997476 ] 
dist 112=[-4.7176402279226799493 ,5.1895071389081296630 ] 
dist 113=[-4.8721568678959266860 ,5.1136079034994838497 ] 
dist 114=[-4.9536676146934127440 ,5.1156328627516179529 ] 
dist 115=[-4.9964814298783116212 ,4.8378427523511074502 ] 
dist 116=[-5.0074683936226899851 ,4.7964684562503002094 ] 
dist 117=[-5.0011858770333814047 ,4.7066767215408115905 ] 
dist 118=[-4.9830765712828697602 ,4.6842235836691933242 ] 
dist 119=[-4.4543024370304059018 ,4.6062086266307835565 ] 
dist 120=[-4.4125927044181374693 ,3.5188048664174881202 ] 
dist 121=[-4.3411316871666258557 ,4.6743648805591839041 ] 
dist 122=[-4.2422664790019413118 ,3.1414171884065604157 ] 
dist 123=[-4.4782577635406401352 ,5.0740445917766523018 ] 
dist 124=[-4.4466389300538691127 ,3.0219250207209720382 ] 
dist 125=[-4.4879800468758582255 ,5.1069668182373979016 ] 
dist 126=[-4.4983395944637746005 ,2.9904401090317072313 ] 
dist 127=[-4.4880294751070759103 ,.22732019924947534681] 
dist 128=[-4.4772322374699426491 ,3.1207842136215879645 ] 
dist 129=[-4.4018921859116390915 ,.22841170120394732004] 
dist 130=[-4.3930231784977690934 ,3.1586998541264354814 ] 
dist 131=[-4.0941582066620603926 ,.2478182945720040457 ] 
dist 132=[-4.0417795094918417095 ,2.6278478402528986560 ] 
dist 133=[-3.9814151039019332368 ,.25158468105326618387] 
dist 134=[-3.9767135242374778780 ,2.8971355967288621237 ] 
dist 135=[-2.8868799148488684755 ,.19961491023157523577] 
dist 136=[-2.7631265133593904351 ,2.6091436765400241910 ] 
dist 137=[-2.4883079413375240312 ,.20042260398268273351] 
dist 138=[-2.7531492920205072632 ,2.5812205879530706483 ] 
dist 139=[-2.1519966610149831556 ,.23462914593826413823] 
dist 140=[-2.1080904699078175155 ,1.0667004769886565665 ] 
dist 141=[-2.0240388937572582777 ,.2425823055001605697 ] 
dist 142=[-2.0116994282404084037 ,1.1088470782424478896 ] 
dist 143=[-.22956916065925289605,1.1791528757610402856 ] 
dist 144=[-1.6643098471383489536 ,1.6907853286398601910 ] 
dist 145=[-.22560763896794804392,2.1269154771107197751 ] 
dist 146=[-1.4796311100175953464 ,2.5737645803893777305 ] 
dist 147=[-.25024045649393603682,2.9930689082011333977 ] 
dist 148=[-2.0104754493176828040 ,3.3192742759606188775 ] 
dist 149=[-.25878341263053195555,3.6396170218936351766 ] 
dist 150=[-1.9469930534653949193 ,4.0355198797892990428 ] 
dist 151=[-.22683473515344528228,4.4105869872531379173 ] 
dist 152=[-2.5161581379153637242 ,4.6477737862947434506 ] 
dist 153=[-.24178775114818688937,4.8292498608612491899 ] 
dist 154=[-2.1939846473994192627 ,4.9819793664367308628 ] 
dist 155=[-.22445392244530695359,5.1043816406338204376 ] 
dist 156=[-.00237595407354300628,5.1648212570092135304 ] 
dist 157=[-.25839390373669688695,5.1913502354533021109 ] 
dist 158=[-1.1911605096652690378 ,5.1881697734629536291 ] 
dist 159=[-2.1238675183698397940 ,.33378696183397113285] 
dist 160=[-2.7292024532302347216 ,4.6792967821721434773 ] 
dist 161=[-3.2103226272071031369 ,.33085651205179900448] 
dist 162=[-3.6473372592257373163 ,4.5267074626344093445 ] 
dist 163=[-4.0222623384904121639 ,.33613688566988443773] 
dist 164=[-4.2567474858899633742 ,3.0110397499009324955 ] 
dist 165=[-4.4465670956604698259 ,.34340074414821986629] 
dist 166=[-4.6049610716878907887 ,3.0244684650551657432 ] 
dist 167=[-4.7172731808089493582 ,.27452580505098421682] 
dist 168=[-4.8199983250342549693 ,2.9596966332861870991 ] 
dist 169=[-4.8542951736439986015 ,.30641479287533887237] 
dist 170=[-4.9374310885837668311 ,3.4303197930749733404 ] 
dist 171=[-4.9616593793174385188 ,.27092859373842292028] 
dist 172=[-5.0012444774777449711 ,1.1410877886721313395 ] 
dist 173=[-4.9933716003983727142 ,.27272856628122469279] 
dist 174=[-5.0039777520319499236 ,.93978659061951365235] 
dist 175=[-1.9978313278509722617 ,.11941063739248375644] 
dist 176=[-2.1336770893803736311 ,3.1362817427762714017 ] 
dist 177=[-1.1639384073428465177 ,.12458773938203432547] 
dist 178=[-2.3608228312769818075 ,2.6501704522884347504 ] 
dist 179=[-.48057833891510084199,.15797666798783039263] 
dist 180=[-4.3523157468499857552 ,4.7144086522640833123 ] 
dist 181=[-.52385147716850813291,.76094489090558908986] 
dist 182=[-4.3546307579878832917 ,4.6016594008601333167 ] 
dist 183=[-.52629224420961947048,1.5346553794042146174 ] 
dist 184=[-3.9463584823230464932 ,5.1912626836135124776 ] 
dist 185=[-.48121680148537373839,1.9549154260051680077 ] 
dist 186=[-4.0282973578426739619 ,5.0776561304743162791 ] 
dist 187=[-.46217200245479584686,2.2541339967787490261 ] 
dist 188=[-4.1292156614524903124 ,2.3256588374217124466 ] 
dist 189=[-.24035270416217379337,2.3658329894856075887 ] 
dist 190=[-4.0394200541664480005 ,2.3754997018477679017 ] 
dist 191=[-.22692255389604919966,2.3475103791947657057 ] 
dist 192=[-4.9548481918802787243 ,2.3446191193312989150 ] 
dist 193=[-.22804296807323412517,2.3243452133502502849 ] 
dist 194=[-4.8093780137166309854 ,2.3126947193455368514 ] 
dist 195=[-.24738819073599820241,2.2396466227660688561 ] 
dist 196=[-4.7900208505557393250 ,2.2189501979826844145 ] 
dist 197=[-.25113280732654566476,2.1539577445890919516 ] 
dist 198=[-4.9866328254997988167 ,2.1529700478388064295 ] 
dist 199=[-97783942.346037977093        ,1.8582778958923031534 ] 
dist 200=[-4.8856419780544940482 ,2.1244099827846380567 ] 
dist 201=[-.20034691597234980283,1.6730889087057460822 ] 
dist 202=[-4.6761573312392994821 ,2.1253975907236115813 ] 
dist 203=[-.23485560367492811043,1.4525775864233820529 ] 
dist 204=[-4.0222702786998994495 ,2.3213213025934432184 ] 
dist 205=[-.4562500968925525617 ,1.3322755843444665177 ] 
dist 206=[-3.9360299329830365842 ,2.3147475612501950203 ] 
dist 207=[-1.3842872542763970633 ,.36983734122496067126] 
dist 208=[-4.8482584489823154164 ,2.3682719137051227707 ] 
dist 209=[-1.9431789053004712148 ,.2977986052303108576 ] 
dist 210=[-4.7180652825083489503 ,2.3560095914678879248 ] 
dist 211=[-2.3977798144143527343 ,.26300905416277089223] 
dist 212=[-4.6864048673099564514 ,2.3809360051240067760 ] 
dist 213=[-2.6744342340861170559 ,.24721687652385287088] 
dist 214=[-4.8816651408970884432 ,2.3819445891806642479 ] 
dist 215=[-2.9238495116856809708 ,.22657603046679097365] 
dist 216=[-4.7991430935290483219 ,2.3379942306279436818 ] 
dist 217=[-3.0082427218914661587 ,.24165582980022835247] 
dist 218=[-4.5900965805482713945 ,2.3637192036060639590 ] 
dist 219=[-2.9845257375528323425 ,.40871650595850126321] 
dist 220=[-2.9789519598018381897 ,.58744397166660357152] 
dist 221=[-2.9701655511131019171 ,.757249320301295534  ] 
dist 222=[-2.9597123391065618749 ,1.2007780043079640860 ] 
dist 223=[-.51658830272947004913,1.5661740958377996985 ] 
dist 224=[-.51775225516081975471,1.7935306215874423268 ] 
dist 225=[-.52487170302679792224,1.9631824253267666469 ] 
dist 226=[-.53935919645261923775,2.0983004627997458224 ] 
dist 227=[-.5702246298049298176 ,2.2015288347518788284 ] 
dist 228=[-.61085269422606473511,2.3575231180924661224 ] 
dist 229=[-.6641424241392207673 ,2.5040957122938317136 ] 
dist 230=[-.73812026019462839947,2.8276917917837494304 ] 
dist 231=[-.86057446435615334448,3.0557839619381284475 ] 
dist 232=[-1.0043604168339887206 ,3.1907398349746480240 ] 
dist 233=[-1.1629400282110401710 ,3.2822452721728452074 ] 
dist 234=[-1.3612320646583151755 ,3.3372540335164145654 ] 
dist 235=[-1.6627737232059680491 ,3.3640075044856135180 ] 
dist 236=[-1.9604871416239801211 ,3.3693051498003754140 ] 
dist 237=[-2.1435020946854004503 ,3.3463769721044043045 ] 
dist 238=[-2.2754989369922643751 ,3.3265843041176259878 ] 
dist 239=[-2.3703398560675541973 ,2.2195203701514209732 ] 
dist 240=[-2.4332511049488952961 ,2.1377188357517056719 ] 
dist 241=[-2.4649120173127160527 ,1.9249702621157556543 ] 
dist 242=[-2.4693193544910856744 ,1.8911522136777047008 ] 
dist 243=[-2.4623395566617938161 ,1.5342708100034429663 ] 
dist 244=[-2.1883624295545320060 ,1.4637754301007860620 ] 
dist 245=[-2.1483333957985276782 ,1.3818986602619086342 ] 
dist 246=[-2.0382559455076927772 ,1.3579686379564877914 ] 
dist 247=[-2.0061858489973869580 ,.66890007309813189959] 
dist 248=[-2.0732398476214930684 ,.58196823609396452682] 
dist 249=[-2.1130888988613426522 ,.38023233825101696208] 
dist 250=[-2.1624555282586780547 ,.3503197345814304776 ] 
dist 251=[-2.1855566170050412994 ,.25438670416820255308] 
dist 252=[-2.1919034803762581297 ,.12750066141078829027] 
dist 253=[-2.1868389995877446891 ,.23991502641805168041] 

8 phat 5 dirichlet min maxes function [2, 2, 0, 2, 0, 1, 1, 2] 
dist 0=[376.11148204128707860   ,376.11148204128707860   ] 
dist 1=[354.02271746148039948   ,380.66148057571348175   ] 
dist 2=[303.55883224539696915   ,376.11148204128707860   ] 
dist 3=[246.04839684107298079   ,346.70111152594521870   ] 
dist 4=[196.57045550288853236   ,294.95284026410419105   ] 
dist 5=[147.48515020571763916   ,227.43680213532656462   ] 
dist 6=[90.988863612304950556  ,214.41093338078188132   ] 
dist 7=[30.370986642628350937  ,121.79824652950460890   ] 
dist 8=[-24.650511542668585557  ,77.509758800710544578  ] 
dist 9=[-63.237244301021781093  ,2.2858392997718294231 ] 
dist 10=[-84.601244024966180396  ,3.1796183842537991557 ] 
dist 11=[-94.414568417589371712  ,9.4477367655174307968 ] 
dist 12=[-94.856513436993265838  ,18.088905585566565816  ] 
dist 13=[-79.095725875629566519  ,28.188608162751750200  ] 
dist 14=[-75.718504498782309693  ,40.643963712037983402  ] 
dist 15=[-5.8280948330538473366 ,50.167058736308174135  ] 
dist 16=[5.6837227262561767478 ,51.879345884448387315  ] 
dist 17=[30.479923992242802039  ,45.459328846621193435  ] 
dist 18=[22.550031607722437712  ,47.820674629171824247  ] 
dist 19=[2.8328621822542594909 ,48.885207902667731837  ] 
dist 20=[-10.695632637227903709  ,47.773883643710484889  ] 
dist 21=[-20.389430755307788414  ,37.347575282337565421  ] 
dist 22=[-25.451292248972145466  ,34.988190979304722852  ] 
dist 23=[-27.571746007597772122  ,5.3481639551913321215 ] 
dist 24=[-27.266441147528476487  ,.57394298641446316038] 
dist 25=[-27.581927998757494306  ,-8.7332497492624828392 ] 
dist 26=[-29.336570320190192705  ,-5.1354875074110135318 ] 
dist 27=[-11.556296696104723450  ,7.2427172452674866832 ] 
dist 28=[-11.428722485725637863  ,15.072639410075068461  ] 
dist 29=[-9.0933251465509486903 ,20.017157985547122179  ] 
dist 30=[-8.7350274096494871660 ,21.303475221447957729  ] 
dist 31=[.33397656417755839419,6.5649363136820971764 ] 
dist 32=[1.7814625785717215514 ,6.5350490336553279032 ] 
dist 33=[4.4818971698161229526 ,6.3883587894125584360 ] 
dist 34=[1.9328948254747018997 ,5.9601314834598797654 ] 
dist 35=[-.70269803681628127887,5.9102495894127643840 ] 
dist 36=[-2.4263047379114917937 ,5.7378203421459279072 ] 
dist 37=[-3.5854854193968812439 ,4.6940085702575875370 ] 
dist 38=[-4.0526188663844193491 ,4.2196124358956909986 ] 
dist 39=[-4.6856795368681263563 ,.86348331704029084689] 
dist 40=[-4.6649871530105084225 ,.18379129070163819159] 
dist 41=[-4.3423167408438865323 ,-.98967627864332915398] 
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dist 61=[-.31970286239770301423,.509027461716653274  ] 
dist 62=[-.11534029032240916909,.05726063381729547733] 
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dist 64=[.03236143975131377847,.09955153002386702848] 
dist 65=[-.73933612190167611465,.5992260263101681905 ] 
dist 66=[.07918384712960167385,.09725374835817535119] 
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dist 71=[-.81632670465445511195,.72873553376522844755] 
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dist 80=[.00321350492523138602,.01346246285204000745] 
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dist 82=[.00868983036706201343,.01285932077695232810] 
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dist 85=[-1.1340855659990085508 ,.45978022736266702986] 
dist 86=[-.00549839316830892144,.00724050918706586537] 
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dist 88=[-.00777112618241593340,-.00034778198941016061] 
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dist 90=[-.00641200084975121034,-.00247150876970112046] 
dist 91=[-.8961686868348534723 ,.02731366831408578224] 
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dist 100=[-.00296625830091919402,.04946154461810988769] 
dist 101=[-.03325385666655011757,1.0108053563784879549 ] 
dist 102=[-.00681843231245532822,.08068239950433441320] 
dist 103=[-.05708395877715928871,1.1322296464747957203 ] 
dist 104=[-.02710295423296021482,.08118801138235374603] 
dist 105=[-.5971562155828420548 ,.04664764634492467399] 
dist 106=[-.00097696460408388614,-.00024265980372898134] 
dist 107=[-.93648767063456426099,.02843342789970565317] 
dist 108=[-.04929188619600895964,-5.27611191196652496970e-05] 
dist 109=[-1.0507212000207030072 ,.04965811949469916500] 
dist 110=[-.06159327994098470203,.00025665520735915066] 
dist 111=[-1.0869423916107634621 ,.02982181548941480406] 
dist 112=[-.07254618022517380543,.00035252361076929457] 
dist 113=[-.29857205690362201737,.04872347755684217466] 
dist 114=[2.73856139702570652510e-05,.00031611579230850153] 
dist 115=[-.02664789497640556858,.06152689042536118323] 
dist 116=[-.02877196338691722043,.00016207069231375801] 
dist 117=[-.02072277405826407003,.3600664462354012668 ] 
dist 118=[-.00856379346540831390,.00011430816136106644] 
dist 119=[-.00320956667949728162,.48481826690600492456] 
dist 120=[-.00470933138581067774,-9.81995672015286845740e-06] 
dist 121=[-.00644640637385171067,.49447434055206055079] 
dist 122=[-.00011393637943787309,-3.47167376678645471660e-05] 
dist 123=[-.00512729154020399061,.45435235185037371165] 
dist 124=[-3.24297094214619797560e-05,-1.27273482064163375540e-05] 
dist 125=[-.58392794575147653094,.339949130281941184  ] 
dist 126=[-2.53896333916157331770e-05,1.50844372001692700090e-05] 
dist 127=[-1.1360995430157547024 ,.26425708955589173999] 
dist 128=[7.42203916330844446040e-06,2.39069586570381143650e-05] 
dist 129=[-1.0423877919622765789 ,.00450107431976979088] 
dist 130=[1.70852357498133420800e-05,2.24660337886216100910e-05] 
dist 131=[-.54091903250448090189,.00200871075303251610] 
dist 132=[2.97484357771591709920e-06,1.65706364006081517120e-05] 
dist 133=[-.72677148165924635395,.42692497812227201755] 
dist 134=[-1.34488851803791829760e-05,1.26569486517324837720e-05] 
dist 135=[-.96805845802014190327,.19357135728849534914] 
dist 136=[-1.84316995448133006080e-05,-2.75067988703912359310e-07] 
dist 137=[-1.1296680105574954469 ,.8520124863081205864 ] 
dist 138=[-1.47634795175831289510e-05,-4.30907780887676797530e-06] 
dist 139=[-.00314084063528620340,.49802262778743746418] 
dist 140=[-3.86896272457126679730e-06,-1.31234141924524337230e-06] 
dist 141=[-2.92129476403219672670e-06,1.0691693868356334228 ] 
dist 142=[-2.94142698880922247060e-06,2.08895131029215945150e-06] 
dist 143=[-.00545743843863410657,.83283204911074359673] 
dist 144=[7.35754736643703242490e-07,4.35088740472435838840e-06] 
dist 145=[-.10619808675285823024,1.0684550276622345037 ] 
dist 146=[1.86103490248121331040e-06,3.99940123662839466870e-06] 
dist 147=[-.30039465159990325573,.26002352204598217109] 
dist 148=[3.76003702338267532920e-07,3.24136549291590721060e-06] 
dist 149=[-.41451078924235602974,.05691164461043265007] 
dist 150=[-3.42267823745324784840e-06,1.61047000040087159410e-06] 
dist 151=[-.49688140224051313623,1.16366013010635731740e-06] 
dist 152=[-5.21468026446972814810e-06,3.61691438218177840800e-07] 
dist 153=[-.4962326489666829098 ,-4.68779050200297321390e-07] 
dist 154=[-1.45008969586931387320e-06,-5.43735259409771087080e-07] 
dist 155=[-.05588599055679501574,.00274092936014578721] 
dist 156=[-4.95979896449630154630e-07,-1.86417948513183522130e-07] 
dist 157=[-.65782203976156552673,7.23866091616594157180e-08] 
dist 158=[-3.71299541017289414270e-07,2.30080416192411655000e-07] 
dist 159=[-.43525206941766221157,.00151386491758633263] 
dist 160=[1.13338597020285548120e-07,3.59686430891468019180e-07] 
dist 161=[-.58103348488054709095,.02265806916847416015] 
dist 162=[2.61946302704992316060e-07,3.36597579959111583050e-07] 
dist 163=[-.00137840464477435314,.04154525802660893668] 
dist 164=[4.27188595982803000870e-08,2.51522696534346051050e-07] 
dist 165=[-.22411618123193872269,.31617255430229641943] 
dist 166=[-2.03431119273774506770e-07,1.87616574037952006240e-07] 
dist 167=[-2.62563789729195058890e-07,.43833755489071467423] 
dist 168=[-2.78045142704906442280e-07,-2.29476891974857818720e-09] 
dist 169=[-.03430927077976505148,.44925779663368387299] 
dist 170=[-2.17239419017537637500e-07,-6.24580836152073028140e-08] 
dist 171=[-.05496172641505714194,.00176542115126012107] 
dist 172=[-6.22430025565232992450e-08,-1.98595504948179130950e-08] 
dist 173=[-.57973130392384172305,.00974280094179367289] 
dist 174=[-4.60160449641332397180e-08,3.01962316464011649010e-08] 
dist 175=[-.60260785735036090816,.01027408126635232289] 
dist 176=[1.15494393531724815450e-08,4.56726246591584125910e-08] 
dist 177=[-.65764382053876657715,4.42655968470539972340e-08] 
dist 178=[2.78007871487952453030e-08,4.24847896472764958770e-08] 
dist 179=[-.00465773504103860217,.01004326217813590929] 
dist 180=[3.91649205114576528090e-09,3.30153707651574288880e-08] 
dist 181=[-.22257489458154519948,.55289668688515929638] 
dist 182=[-2.31185639570305068070e-08,2.42928044358366930160e-08] 
dist 183=[-.08575524286490239345,.634681144149759162  ] 
dist 184=[-3.13380692302215560760e-08,-7.53970377424711100070e-10] 
dist 185=[-.08634741788019925481,.66134143551527682703] 
dist 186=[-2.20302068140030678480e-08,-5.94427099358913945440e-09] 
dist 187=[-.00098357535910860822,.03005015483433174346] 
dist 188=[-7.80487456690696536200e-09,-5.16254852006621754470e-10] 
dist 189=[-.02936231227520968435,.02018670074510760600] 
dist 190=[-5.17054845215338586940e-09,6.63472364252201885980e-09] 
dist 191=[-.02557250977842116749,.01635125655031665807] 
dist 192=[9.08436017213243506070e-10,8.83077996471104972170e-09] 
dist 193=[-.03075539419682286245,.00211309770336409112] 
dist 194=[4.09628163541881371760e-10,7.61532374247437552260e-09] 
dist 195=[-.02985199175014279469,.00237120528981382106] 
dist 196=[-1.33217755903649167220e-09,5.78322246592981974650e-09] 
dist 197=[-.03811521555307856386,.01916692605868341707] 
dist 198=[-4.13090874129624104770e-09,2.87801151031909941720e-09] 
dist 199=[-.03927484948306858112,.02315898647832690039] 
dist 200=[-5.64454909024342563960e-09,2.69482494779962700630e-09] 
dist 201=[-.00120663820760307013,.02457755399842535611] 
dist 202=[-8.29934251119810450500e-09,2.42955629164564645440e-09] 
dist 203=[-.00119747026761629449,.03143869577195597196] 
dist 204=[-7.03511842375272819050e-09,1.94264555425920964990e-09] 
dist 205=[-.03451368595867558340,.03769498431761272457] 
dist 206=[-9.17151241734209287760e-09,9.88669911763656176220e-09] 
dist 207=[-.03115441777492837601,.03940149954004302931] 
dist 208=[-3.42082644374893795470e-09,1.71694839114438269520e-08] 
dist 209=[-.03560215862255137958,.02231975661689214461] 
dist 210=[-3.27444364052334781020e-09,1.54452849106878997500e-08] 
dist 211=[-.01781039830802075108,.01549939891235544947] 
dist 212=[-2.32891080502728065290e-09,1.52711294376934927160e-08] 
dist 213=[-.02340141457473174659,.02891083747061984520] 
dist 214=[-2.23073376485541242080e-08,1.48842528768097887720e-08] 
dist 215=[-.02473722612689839073,.03711881061371256912] 
dist 216=[-3.13850117274197080820e-08,1.15256425394597774950e-08] 
dist 217=[-.00182131699103549095,.03683178599560616868] 
dist 218=[-5.12201862397086422220e-09,3.30703550386327763840e-09] 
dist 219=[-.00179041615322579443,.00277398597840292147] 
dist 220=[-.03517233489560432605,2.69647135810214099080e-09] 
dist 221=[-.03922295370152493721,.06409603433793217579] 
dist 222=[-.05964392023081443624,2.00292032731049680080e-09] 
dist 223=[-.02640193892991619205,.04740931044380477227] 
dist 224=[-.06502154744134043188,2.99975597675298925900e-09] 
dist 225=[-.03634111600501154735,.06120150940033372104] 
dist 226=[-2.91474862105846582600e-09,3.55698630843730769240e-09] 
dist 227=[-.00431173918574375179,.00241900298189658049] 
dist 228=[-.06141371020559988632,.02735920929284390072] 
dist 229=[-.0122391771444773054 ,.00821392036167282191] 
dist 230=[-.03749756376215871337,.05326373296782335735] 
dist 231=[-.03242232934722056014,.02315393655011501971] 
dist 232=[-.03366869501262096136,.05335030168729434684] 
dist 233=[-.03316292977916569196,.02196079896244669074] 
dist 234=[-5.64770328591656059030e-09,3.51610080334816286350e-09] 
dist 235=[-.00147206068341940101,.00266952225816319744] 
dist 236=[-.03138538018754248969,3.26413084926941422690e-09] 
dist 237=[-.03299574103729647152,.06247904353183446111] 
dist 238=[-.02757358688627957726,2.29030693403847840240e-09] 
dist 239=[-.02017473072929514996,.05132914491177914740] 
dist 240=[-.03355557931290313482,3.60321500448465936070e-09] 
dist 241=[-.03144252291130260796,.06301619547884861286] 
dist 242=[-3.25779343862179799120e-09,4.50444173205014704420e-09] 
dist 243=[-.00247928096221328891,.00258942047509452725] 
dist 244=[-.02952193030820043229,4.18087185596456396310e-09] 
dist 245=[-.04512622944024849285,.03054043380763645727] 
dist 246=[-.02268974699094655232,2.93414850536827102000e-09] 
dist 247=[-.06491003554088068912,.03658724639429551171] 
dist 248=[-.02729781838833916652,2.10653011391970387840e-09] 
dist 249=[-.06154961682406334829,.03914396983035391414] 

8 phat 5 dirichlet min maxes function [0, 1, 1, 1, 1, 0, 2, 1, 2] 
dist 0=[336.00405006294881412   ,336.00405006294881412   ] 
dist 1=[312.22404095166067745   ,341.97876473344006372   ] 
dist 2=[278.22321910112823408   ,342.58436471691071329   ] 
dist 3=[242.88452671574789680   ,337.24281559093335467   ] 
dist 4=[176.38183313004794780   ,326.86324235369470073   ] 
dist 5=[119.81700473321881907   ,242.87963929101554783   ] 
dist 6=[65.101657125261230861  ,223.26141857722573639   ] 
dist 7=[4.2302983055678123565 ,157.77131517239608440   ] 
dist 8=[-47.761352869425417853  ,147.68795830366754886   ] 
dist 9=[-68.358805738827920927  ,30.081108676650535615  ] 
dist 10=[-76.283671936451039954  ,7.4740680287750143995 ] 
dist 11=[-80.606307308492035868  ,3.5527194353506270707 ] 
dist 12=[-88.469770849730578415  ,4.8959111214109104979 ] 
dist 13=[-88.822965692902557580  ,12.646913373220171105  ] 
dist 14=[-64.924517997257182164  ,20.638698448605492575  ] 
dist 15=[-50.355151801981296938  ,23.010921305626502856  ] 
dist 16=[-47.947130970328901449  ,29.811923963357010387  ] 
dist 17=[2.9773618262443216962 ,31.919079529453960108  ] 
dist 18=[3.4284527570732982450 ,30.620218967395847422  ] 
dist 19=[-2.6499406263764122984 ,30.867634083242337678  ] 
dist 20=[-9.4240935064728982882 ,34.696181885393597472  ] 
dist 21=[-19.951183461079372492  ,35.015934487255841314  ] 
dist 22=[-26.677844895911623148  ,34.609737218989487715  ] 
dist 23=[-28.420760907167365387  ,30.343415584693741271  ] 
dist 24=[-10.562480938288925415  ,27.843335547099044931  ] 
dist 25=[-9.4392247893687901579 ,12.839316187796825062  ] 
dist 26=[-14.655873641247513988  ,12.200514999877391962  ] 
dist 27=[-19.942403475035081900  ,16.054079085720090095  ] 
dist 28=[-20.736840932809293422  ,17.811370193547837095  ] 
dist 29=[-9.4223634519662011482 ,18.254280917419597581  ] 
dist 30=[-9.6910132815812878898 ,8.8469273048922641477 ] 
dist 31=[-9.1526129958739580101 ,10.313903907710807982  ] 
dist 32=[-9.0679751406194640035 ,11.178508573483085883  ] 
dist 33=[-4.9716208735309424403 ,11.281974423175802574  ] 
dist 34=[-5.2484539751355583908 ,10.662840393391156446  ] 
dist 35=[-6.1761081531723626353 ,10.391509392572839237  ] 
dist 36=[-6.8527741093506554629 ,6.8812516769751850957 ] 
dist 37=[-7.2789768846578996958 ,5.8714504000959038484 ] 
dist 38=[-7.5135931789706956278 ,5.0058435169085804826 ] 
dist 39=[-7.5535022610066244636 ,4.7842856949177264541 ] 
dist 40=[-7.3684360192152779908 ,-3.7460324692183439066 ] 
dist 41=[-7.3536068746397118517 ,-4.4146345413321238224 ] 
dist 42=[-8.3258832183028375521 ,-5.0594953795489340168 ] 
dist 43=[-8.8465796052575587765 ,-4.6141056677128777761 ] 
dist 44=[-9.0140757610384192190 ,-3.9207338337074541643 ] 
dist 45=[-5.6636669336172102924 ,-2.8886105762094588273 ] 
dist 46=[-5.3525964327910451970 ,-1.9580685868410666315 ] 
dist 47=[-5.4639921858099530023 ,-1.4336405228269761593 ] 
dist 48=[-5.6213932969591794697 ,-.59214884459496354792] 
dist 49=[-5.8220497226529142909 ,.25538053684283235953] 
dist 50=[-6.0781032665125446470 ,.87292629523403142039] 
dist 51=[-6.4452269100195570014 ,1.4170860259423274824 ] 
dist 52=[-6.8022551596123686787 ,1.9808857294114924392 ] 
dist 53=[-7.0175313656462039307 ,2.4725629461103051485 ] 
dist 54=[-7.1452013471566524712 ,2.7349788992448122180 ] 
dist 55=[-7.1627570079283962507 ,2.8871997773772459310 ] 
dist 56=[-2.8260937699338692628 ,2.9439343046847014919 ] 
dist 57=[-2.4985639056723860712 ,2.9795050785359336318 ] 
dist 58=[-1.6804106246559855372 ,2.9940237350432031541 ] 
dist 59=[-1.5948314140215580364 ,3.1198458398199005959 ] 
dist 60=[-.32481670201455502883,3.1932683630853966923 ] 
dist 61=[-.41174222446572955396,3.2130738602414786918 ] 
dist 62=[.18014518146768267257,3.1666983830428742952 ] 
dist 63=[-.06661543357608394280,3.1614260143800747716 ] 
dist 64=[1.7243263796595735268 ,3.1204804371231238563 ] 
dist 65=[1.4397766981570584553 ,3.0972311385302089107 ] 
dist 66=[2.2493745552625446169 ,2.9534789595252644300 ] 
dist 67=[1.8462712418353302814 ,2.9163116059450154807 ] 
dist 68=[1.8347798271334437587 ,2.9895051138630622769 ] 
dist 69=[1.4006216867058161264 ,3.0676512036012615084 ] 
dist 70=[1.2219567238702828236 ,3.1144329978834663018 ] 
dist 71=[.88703789929304650822,3.1251136863907613143 ] 
dist 72=[.57397876831710528444,3.1193953778156925933 ] 
dist 73=[.15878333019572272011,3.1105276623230267590 ] 
dist 74=[-.18467521745296531739,3.0775186865140788536 ] 
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dist 157=[-.07493620385367962   ,.63208316580048682152] 
dist 158=[-.13571625742592759858,.39620080574597443036] 
dist 159=[-.15419793037631665718,.42216470934430039161] 
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dist 168=[-.5433886664960584031 ,.14199338301521777107] 
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dist 171=[-.68981640761828332865,-.13022023747875646078] 
dist 172=[-.57039629521173506032,-.02857098871964324301] 
dist 173=[-.67324666620544682652,.00486379636991061035] 
dist 174=[-.53092880993056746914,.114223944782087289  ] 
dist 175=[-.3861798607742807956 ,.18587730099421557564] 
dist 176=[-.46285806472339773704,.2427347834877339578 ] 
dist 177=[-.4325590047496952327 ,.2944252672854466166 ] 
dist 178=[-.45907762079255751031,.33530092611154909137] 
dist 179=[-.45191000095731009506,.40115241711331913242] 
dist 180=[-.4967116438375787609 ,.37171517731547674241] 
dist 181=[-.45724598709041483564,.44175559137241055561] 
dist 182=[-.50229295307642165136,.37574445127906181481] 
dist 183=[-.45425569663792118735,.37216865405114177498] 
dist 184=[-.40649513127176106332,.36745191301344441133] 
dist 185=[-.32066456865502688077,.5016851678538671298 ] 
dist 186=[-.35888802611584134007,.34319728327447453965] 
dist 187=[-.2836196206706129525 ,.45590594489486565859] 
dist 188=[-.34384347953568152744,.32514775767097434963] 
dist 189=[-.22340462380532213271,.46553151801720728952] 
dist 190=[-.30787787449330278688,.34503841570283570408] 
dist 191=[-.20564540227289743119,.31364223187131366405] 
dist 192=[-.25407280146068522504,.45509741850382452736] 
dist 193=[-.10018235636484507742,.37969150213192860476] 
dist 194=[-.20701892751017119559,.47032147869452304673] 
dist 195=[-.06672278742620160744,.40921348264603606431] 
dist 196=[-.17122410717254002891,.47131612520862320671] 
dist 197=[-.05973947515988041407,.33284834128515545735] 
dist 198=[-.15517777868711244646,.47664149938548976221] 
dist 199=[-.01722549539793952735,.33188772034359031233] 
dist 200=[-.00150943410116344520,.36473342447218690703] 
dist 201=[-.00166276319231036533,.17873401579653940137] 
dist 202=[-.00166444341160548158,.378963530882919664  ] 
dist 203=[-.00202870596756042112,.17590179824034244692] 
dist 204=[-.00218704987624386825,.34459848741224455206] 
dist 205=[-.00282330087130607540,.18294827796926044637] 
dist 206=[-.00603023760477938088,.33504051160801138464] 
dist 207=[-.00794549029986647083,.00360647121036865714] 
dist 208=[-.00929964759667278572,.1581539163583813072 ] 
dist 209=[-.32278739468885384154,.15790301634093252   ] 
dist 210=[-.01074138070166014414,.22109629666255257647] 
dist 211=[-.37714182018569786359,.14462421099464096004] 
dist 212=[-.01275646346816428683,.21851854605222566204] 
dist 213=[-.37814009072799635522,.15367238000440469245] 
dist 214=[-.00394498081520825762,.25299458485647561591] 
dist 215=[-.30885890055057579519,.00525804312104301507] 
dist 216=[-.08810335290713289530,.08187599589384136986] 
dist 217=[-.36663653808135722751,.16011346456324032169] 
dist 218=[-.09082875794132065391,.06771507672938637459] 
dist 219=[-.35381726503078167858,.15734851399648450243] 
dist 220=[-.16356348492897295375,.23365330088397427954] 
dist 221=[-.33630484602947103853,.16653640562132761182] 
dist 222=[-.18080175160244918758,.19954423197921028948] 
dist 223=[-.00650142957347659019,.00551456937509648260] 
dist 224=[-.32794007460507414098,.35556022408573204995] 
dist 225=[-.30588582732765457689,.00659051091132367938] 
dist 226=[-.32789103101878704886,.34796165794474784319] 
dist 227=[-.36137327737270964888,.00694394845135320964] 
dist 228=[-.29667429037543943446,.3901912396174863007 ] 
dist 229=[-.36176894446456515125,.00627762849589359624] 
dist 230=[-.30265912948018953186,.38211032652946161373] 
dist 231=[-.30567760174153268536,.00587756028839837847] 
dist 232=[-.00487098014671395760,.16482069811618995673] 
dist 233=[-.36297179209853499719,-4.21524450790296558500e-05] 
dist 234=[-.00570033724927218893,.16779796544217743094] 
dist 235=[-.35393490418976097073,.00052666918657358218] 
dist 236=[-.00562688079809326248,.16126441268129767504] 
dist 237=[-.33694667740795993483,.00204047566987007773] 
dist 238=[-.00223883519129712710,.16385298209282696983] 
dist 239=[-.00214673521244266202,.00355428268771053773] 
dist 240=[-.06687969007294942560,.16049660072004986123] 
dist 241=[-.00015308071767707335,.17936115508338354281] 
dist 242=[-.06655635018468574571,.1631719260852994825 ] 
dist 243=[4.21519934752087719870e-05,.17434154173260663493] 
dist 244=[3.68734980596864756240e-07,.13281067260355917889] 
dist 245=[-.00052667149110297685,.17985513864014893201] 
dist 246=[-.00147203866981830421,.04397783402598850682] 
dist 247=[-.00240829186198189153,.16768808729668198899] 
dist 248=[-.00309878815606402748,.17024323143766889512] 
dist 249=[-.00359929305511071142,.17380984941615499733] 
dist 250=[-.00396958472112344022,.16683559855425285155] 
dist 251=[-.05081818037291836347,.14403159554267083767] 
dist 252=[-.00420632967350823869,.14335341504035674401] 

8 phat 5 dirichlet min maxes function [1, 1, 2, 2, 1, 0, 2, 0, 1] 
dist 0=[358.61772705945414508   ,358.61772705945414508   ] 
dist 1=[347.26566034083608375   ,363.90415549967883730   ] 
dist 2=[314.07122648609155216   ,362.52548290578624665   ] 
dist 3=[256.42507992824798729   ,354.53141346530227087   ] 
dist 4=[183.60090882594843399   ,275.26219410628956438   ] 
dist 5=[123.68438042298581890   ,256.11920407952735082   ] 
dist 6=[67.233098049033366319  ,193.04259194016029601   ] 
dist 7=[6.7314793796550586973 ,176.38431533270052590   ] 
dist 8=[-44.480877893397264316  ,50.697423265482561035  ] 
dist 9=[-64.533590554572116266  ,20.260434891893336424  ] 
dist 10=[-72.084652216625147976  ,13.915637277597383200  ] 
dist 11=[-78.387909852065731488  ,8.2459707972929760140 ] 
dist 12=[-86.501750129574437273  ,11.405932074528236815  ] 
dist 13=[-88.702310018601859858  ,16.131645160532108683  ] 
dist 14=[-72.517097621899851616  ,26.714145685788733307  ] 
dist 15=[-63.128562230857580091  ,35.040712032697601537  ] 
dist 16=[-2.9952552194889641026 ,38.072758359523786731  ] 
dist 17=[6.8629886099315108543 ,39.333355497487404947  ] 
dist 18=[16.919742157098701018  ,38.682853566213010059  ] 
dist 19=[1.4692386078806599127 ,41.642196728053994948  ] 
dist 20=[-7.0571217946462446954 ,42.850483809908115741  ] 
dist 21=[-14.972268807312504036  ,40.530438858130033146  ] 
dist 22=[-20.756470566873984248  ,31.761342023729173464  ] 
dist 23=[-21.973767478127525709  ,29.098510338597616337  ] 
dist 24=[-19.945215755043452977  ,4.2281848088365065779 ] 
dist 25=[-18.727240404522524996  ,-5.68064569438599870700e-05] 
dist 26=[-23.479713028913478369  ,-3.9209083579995257454 ] 
dist 27=[-24.972846744652091043  ,5.1807510765875437095 ] 
dist 28=[-10.047327832397019722  ,10.949816695440032285  ] 
dist 29=[-9.6974435306604491688 ,14.596368180803247569  ] 
dist 30=[-8.6145035189426380063 ,15.545375990572387428  ] 
dist 31=[-7.3215909883634656773 ,5.8248343681586758615 ] 
dist 32=[-.82411004210178525595,5.3389998418445773995 ] 
dist 33=[1.6315937395439280869 ,5.3146464119225984070 ] 
dist 34=[1.6338787441041371117 ,4.5405377723153487365 ] 
dist 35=[-.276075824835927895  ,4.9128922727157902496 ] 
dist 36=[-3.0514660629789644953 ,5.0991298043380371061 ] 
dist 37=[-2.9191704240195318736 ,4.8121197406129695964 ] 
dist 38=[-5.5249429288425513540 ,4.0723780808584833879 ] 
dist 39=[-4.1340016157609841877 ,3.5175077360364078946 ] 
dist 40=[-3.3633211788771082290 ,.92137054508695724727] 
dist 41=[-2.7566528952490204389 ,.06860014796628956753] 
dist 42=[-5.6872079537125388260 ,-.31291580906580160568] 
dist 43=[-3.8251955819720561420 ,1.6645435468864866303 ] 
dist 44=[-1.9900648807699258369 ,1.1647264516451013916 ] 
dist 45=[-1.1427480568611503208 ,2.7721404970651604400 ] 
dist 46=[-.8546627217343007557 ,1.6816416852148046893 ] 
dist 47=[-.83998115500723469956,.80863205777651308928] 
dist 48=[-.46172552995658251914,1.4373971928859127764 ] 
dist 49=[-.15326009115721534414,.8006218423615491006 ] 
dist 50=[.13301908649445798601,1.6629728619993322586 ] 
dist 51=[-1.1482470518232035442 ,.65615920124337799817] 
dist 52=[-.21820016371311038613,1.0837206593513317960 ] 
dist 53=[-1.3533656052245551131 ,.62675653636106327651] 
dist 54=[-.534178227500838793  ,1.7714296585941917867 ] 
dist 55=[-1.7821013276085887826 ,.44868593159717848921] 
dist 56=[-.33297252523117759308,1.4319061090187317131 ] 
dist 57=[-1.6478252562637429070 ,-.01846494572617044244] 
dist 58=[-.35081317384634895809,1.2783355253530635697 ] 
dist 59=[-1.6217940336051261176 ,.09909373803924463629] 
dist 60=[-.14956963920397887191,.19310205618282589886] 
dist 61=[-1.3678449122114909864 ,.25217161279485384653] 
dist 62=[-.1272061800987657381 ,.2675187127993798532 ] 
dist 63=[-1.6049009623578653733 ,1.0998499399312179153 ] 
dist 64=[.01174741736510766255,.20510381625339217506] 
dist 65=[-1.5258610137933804983 ,1.4224810598109497515 ] 
dist 66=[.02193116642494283464,.8839719748314206277 ] 
dist 67=[-1.6094853493165320315 ,1.2614863501212146734 ] 
dist 68=[-.02896639774498008555,.35436915015206438893] 
dist 69=[-1.6300926654436041585 ,1.2879577741443426788 ] 
dist 70=[-.04611790791952063530,.89151794362779352226] 
dist 71=[-1.4566608981573705439 ,1.1990717650959875794 ] 
dist 72=[-.08721101995492065861,.43163320508051443935] 
dist 73=[-1.3195552966838272201 ,1.3724552777108865263 ] 
dist 74=[-.29734604811016285263,.85801081818993213785] 
dist 75=[-1.2367942455009823383 ,1.2844137607763919465 ] 
dist 76=[-1.3055393284511247751 ,2.4435858073196884357 ] 
dist 77=[-1.2016050640784552795 ,1.3771760959311804213 ] 
dist 78=[-1.8620492621589623726 ,2.4186791710188903826 ] 
dist 79=[-.92467383440245096857,.91837457002301783148] 
dist 80=[-1.9179936440272761714 ,2.7169912086461128173 ] 
dist 81=[-.92485674411410241598,.28750232716691118276] 
dist 82=[-1.8623789664014994579 ,2.7656407634226239847 ] 
dist 83=[-1.0092749605220297888 ,.89952612243989242116] 
dist 84=[-2.7097070635373627637 ,2.5674183960722111987 ] 
dist 85=[-1.0306376532626947623 ,.00850966164447015883] 
dist 86=[-2.7419377709563918393 ,2.5186415295018882064 ] 
dist 87=[-.80228921415477273805,.87986066713743856065] 
dist 88=[-2.5268644468190312229 ,2.7633069461855351722 ] 
dist 89=[-.83709980712579317594,.02029698409812110369] 
dist 90=[-2.5085168764214155066 ,2.6720061975737571710 ] 
dist 91=[-.92734161622765059854,.01190791882487716469] 
dist 92=[-2.0069047702066679358 ,2.3755089719674579292 ] 
dist 93=[-.9479735800366997601 ,.3706795812653340867 ] 
dist 94=[-1.6260063023656735976 ,2.3196100808338099811 ] 
dist 95=[-1.2605796609952493679 ,.83178653878031136398] 
dist 96=[-.98400730513727101379,2.5885829338717586316 ] 
dist 97=[-2.2387689527140366433 ,2.6601605875199046682 ] 
dist 98=[-.99056064390529301503,2.6249450669121148669 ] 
dist 99=[-2.5814822394725210560 ,2.5384472820987546972 ] 
dist 100=[-.16819526441060190278,2.4255120750525948797 ] 
dist 101=[-2.7124035540109922886 ,2.5290883779713297898 ] 
dist 102=[-.32565162062085831871,1.7405670116537523387 ] 
dist 103=[-1.9116654415536084509 ,.81262762600531824361] 
dist 104=[-.00148826857555872897,1.7071763198603846936 ] 
dist 105=[-2.7007772527897155566 ,1.4954748598587278880 ] 
dist 106=[-.00110183282894887130,1.9673815452614832622 ] 
dist 107=[-2.5564698059550706145 ,.79657959828564352235] 
dist 108=[-2.1298224424391241177 ,2.4771486726260453281 ] 
dist 109=[-2.4507942585031715903 ,.76708563386557341942] 
dist 110=[-1.5471023300342870312 ,2.3894437445751092238 ] 
dist 111=[-1.1805763942182126071 ,1.1229793873716388904 ] 
dist 112=[-1.8963648757880111548 ,2.9435748035655259880 ] 
dist 113=[-1.1970081378683716929 ,1.4758335277417618482 ] 
dist 114=[-1.9379186203059887471 ,2.6353614731063426322 ] 
dist 115=[-1.2722886593259524877 ,1.4980367722200549884 ] 
dist 116=[-3.1535166370280090072 ,2.9605373278964701095 ] 
dist 117=[-1.2967290474796232942 ,1.7151070177568507195 ] 
dist 118=[-3.3308082757392925997 ,2.7030241412191875288 ] 
dist 119=[-1.1049516068746282660 ,.98427323957116810052] 
dist 120=[-3.4487350902005967322 ,2.6075689461935945143 ] 
dist 121=[-1.2121206867195759700 ,2.5432937556007353206 ] 
dist 122=[-3.4936706109335253970 ,2.4600572337127529361 ] 
dist 123=[-1.1108869319604322506 ,.88755363464161535406] 
dist 124=[-1.8051055664995139571 ,4.53837110540288210200e-05] 
dist 125=[-1.1203472685097672682 ,.96355183655363224326] 
dist 126=[-1.7738996701248195560 ,6.22270072689178125860e-05] 
dist 127=[-.38574560430642405143,.37907097158836977503] 
dist 128=[-1.6611412488661383259 ,1.79695618049647071140e-05] 
dist 129=[-.37965580589018143904,.36096670263102962969] 
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dist 131=[-.4946164191347312066 ,.57111323821119009347] 
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dist 133=[-.50740356523727849008,.50820194333554316719] 
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dist 135=[-.79867249990243306017,.73925148597885464048] 
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dist 138=[-.84885215219310597752,-1.21595931001552016230e-06] 
dist 139=[-.71639309129141738024,1.0054789761297727384 ] 
dist 140=[-3.58691185146190688150e-06,.53427447418125586943] 
dist 141=[-.7412786955460854021 ,.88465279876005159411] 
dist 142=[-2.60635860440121737570e-06,.86230856564973202135] 
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dist 144=[2.28548156288204371770e-07,1.2283616326795948406 ] 
dist 145=[-1.9677735174682334665 ,1.70356337124268828930e-06] 
dist 146=[6.02474230224341318280e-07,1.4447297661692809265 ] 
dist 147=[-1.7986845341643813324 ,2.03903461417194317760e-06] 
dist 148=[-7.79168966890695735360e-07,1.7748602378286571227 ] 
dist 149=[-1.7403096954966250542 ,.08376177509258876064] 
dist 150=[-1.22001805800055378400e-06,1.9274480478020737128 ] 
dist 151=[-1.0955197254689843627 ,1.33944787953648000920e-06] 
dist 152=[-1.14243891643279640630e-06,2.0133031299957870042 ] 
dist 153=[-1.1221420411861982921 ,.06521046727269459424] 
dist 154=[-.03691676113357388444,2.0150517508914045170 ] 
dist 155=[-1.1328506634163382775 ,.09261225097604386805] 
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dist 157=[-1.3153916885491275213 ,.03931877675675769180] 
dist 158=[-1.3433729627105615010 ,9.40905028854990837400e-07] 
dist 159=[-.44240812754659150636,.47903390672109001216] 
dist 160=[-1.6634022912148895637 ,2.66046819055140807610e-07] 
dist 161=[-.36552133465708453129,.53300875173384295637] 
dist 162=[-1.7849089022313576598 ,2.18657143093844356710e-07] 
dist 163=[-1.2026696477944346893 ,.81076568832801986201] 
dist 164=[-1.8972572655749025542 ,2.30168935627719850880e-07] 
dist 165=[-1.0133378910135628909 ,.8975037919840962046 ] 
dist 166=[-1.9572158218726814629 ,1.72648917070436499450e-07] 
dist 167=[-1.8027882370182009567 ,1.6697426065402803253 ] 
dist 168=[-1.9737397261956938596 ,2.24750291333908996380e-08] 
dist 169=[-1.7588085931420160473 ,1.6713924082639657388 ] 
dist 170=[-1.9463568095501956730 ,3.93177820730837077120e-08] 
dist 171=[-1.9881034330106064585 ,1.5140407473830096974 ] 
dist 172=[-.81456995099096894639,6.64099772711007362790e-08] 
dist 173=[-1.9424619399893826345 ,1.5407325256974013002 ] 
dist 174=[-.49613958037475885633,9.21258466496371334840e-08] 
dist 175=[-.85784157110996961395,1.5841529095768146575 ] 
dist 176=[-.14564692974814398274,.10695204488781179402] 
dist 177=[-.87085382051035916828,1.5496628410765929241 ] 
dist 178=[-.01968771576567227049,.29174750929304985843] 
dist 179=[-.83703582393995766849,1.9002884737102337214 ] 
dist 180=[-1.19983110880200510780e-08,.67937504516758610634] 
dist 181=[-.84602086405424360903,1.8445980216368865048 ] 
dist 182=[-1.93333057956732145800e-08,.83605770974263906025] 
dist 183=[-.82048549703266399839,1.8354138566801721394 ] 
dist 184=[-1.72437667390947473090e-08,.95037032400987492301] 
dist 185=[-.82653482831051078728,1.9116581595769733742 ] 
dist 186=[-9.63744483178603175860e-08,251336332.22002827672         ] 
dist 187=[-.81465820966805969389,1.8709654459595418001 ] 
dist 188=[-7.76024842500578512830e-09,.90680184612563719563] 
dist 189=[-.81636170370533281023,1.7904281294975467401 ] 
dist 190=[-5.63434102544852673670e-09,.88934413131605716326] 
dist 191=[-.88961634393695679703,1.5438131852768812010 ] 
dist 192=[3.54191359235859360440e-10,.85309817388293018447] 
dist 193=[-.88530098265646123286,1.5108948309878569975 ] 
dist 194=[2.37073569224670224760e-10,.82825710180620961068] 
dist 195=[-.90683163650616984989,1.8598672144150139974 ] 
dist 196=[-2.88576844295370912430e-09,.68164794386162219838] 
dist 197=[-.90097185307082154093,1.8113934845779878257 ] 
dist 198=[-3.84041118968987365820e-09,.62742609378643143542] 
dist 199=[-.90893570871248177173,1.7943108375747509548 ] 
dist 200=[-3.57563123554166637600e-09,.54883049605254509793] 
dist 201=[-.9102734774325804496 ,1.8704100353168188286 ] 
dist 202=[-.17576840150839021607,.50425464062262704162] 
dist 203=[-.89637813550946166265,1.8366191198836875061 ] 
dist 204=[-.61650392708130745374,.10824205140341740422] 
dist 205=[-.90243977174376656793,1.7560548835300659607 ] 
dist 206=[-.8094702513313607707 ,.02488482109875385212] 
dist 207=[-.08466247512103761410,5.83730707992650972400e-10] 
dist 208=[-1.0058088786436605079 ,1.15119808172490828650e-09] 
dist 209=[-.09434037827662048905,7.92421553433689122610e-10] 
dist 210=[-1.0535036386533641739 ,8.91597314805988353670e-10] 
dist 211=[-.12875690281788843329,3.56799880967392908200e-08] 
dist 212=[-1.2026477827464563785 ,.02790216084016711711] 
dist 213=[-.16820112227053936914,.03531275962440267235] 
dist 214=[-1.2385096717309077516 ,.07270136490440074401] 
dist 215=[-.26728464102824611302,.14805936073077144694] 
dist 216=[-1.2099420199978881127 ,.15476150157408412265] 
dist 217=[-.32890588200641748508,.24342622748403130688] 
dist 218=[-1.1941768323380824694 ,.26232492838120836835] 
dist 219=[-.42441330291673162942,.3725008541551007524 ] 
dist 220=[-1.81820499272190016860e-08,.64838655823853706642] 
dist 221=[-.40824484953497774582,.51437508662802083063] 
dist 222=[-3.15800269827044034290e-08,.77047974038070991786] 
dist 223=[-.68199719859835818689,.73660568562112355823] 
dist 224=[-6.01447641861853961690e-09,.88150636287262815253] 
dist 225=[-.75836622972866978587,.85618427412613361243] 
dist 226=[-9.13363371314788480840e-09,.98074268942940077515] 
dist 227=[-.81446448516133294393,.92752703920171685369] 
dist 228=[-3.00996104910358849860e-08,1.1230766829491926209 ] 
dist 229=[-.83450061670567256635,.94981735957833536166] 
dist 230=[-2.31971039194988506960e-08,1.1869911240813694222 ] 
dist 231=[-.80583834185134270109,.80346481603670200528] 
dist 232=[-2.86409683784725721900e-09,1.2148747575212953729 ] 
dist 233=[-.78114643721072983008,.71723779526098574456] 
dist 234=[-9.95686407417068775790e-09,1.2039224635758383124 ] 
dist 235=[-.73907468823363056383,3.73883951311214100750e-08] 
dist 236=[-.22603488067197842252,.89334090281959460973] 
dist 237=[-.71050255632100352448,3.74831168977998171750e-08] 
dist 238=[-.42127148417146505547,.77969413463225563975] 
dist 239=[-.35354405915681236257,1.13485664075591380670e-09] 
dist 240=[-.6286534092075380275 ,.64076282335005181224] 
dist 241=[-.24424346001428976473,1.56650742521527167550e-09] 
dist 242=[-.68199206858082339803,.5849629210148192186 ] 
dist 243=[-.14669493506469273122,2.10638319089669059580e-09] 
dist 244=[-.8517129151939839384 ,.35061297404359595308] 
dist 245=[-.10420866469526207937,.00325858358892709167] 
dist 246=[-.89393207132350216721,.2487546001301657496 ] 
dist 247=[-.07113581778136072885,1.37207992691612193850e-09] 
dist 248=[-.91862698897746536861,.15245325030701361067] 
dist 249=[-.07453836734914938382,2.07661716408644597230e-09] 
dist 250=[-.91378948420917563489,.1142373051744878989 ] 

8 phat 5 dirichlet min maxes function [2, 1, 0, 0, 1, 0, 1, 2] 
dist 0=[340.57088357002763661   ,340.57088357002763661   ] 
dist 1=[323.07431233111191724   ,346.05804318512502412   ] 
dist 2=[272.36479950746361227   ,350.10834092431252780   ] 
dist 3=[212.93764181302978800   ,350.92196210879796340   ] 
dist 4=[161.40859681548354824   ,306.73113663500347521   ] 
dist 5=[110.31324414855921131   ,259.77209967301372412   ] 
dist 6=[51.509207562599280735  ,240.05981349135842901   ] 
dist 7=[-.57949202445654294375,175.35055372406522694   ] 
dist 8=[-25.906181702054730037  ,163.17250169721875740   ] 
dist 9=[-38.729273769108368489  ,27.437589046952927268  ] 
dist 10=[-51.597553809259037164  ,5.1909268450880289797 ] 
dist 11=[-72.099534283562521632  ,5.3524408271009020030 ] 
dist 12=[-80.520741186215393471  ,12.756949714206728383  ] 
dist 13=[-84.194884655234141621  ,21.905976854969496414  ] 
dist 14=[-83.170001539808372124  ,33.686196045983457351  ] 
dist 15=[-66.062046477551527251  ,43.043019909750686139  ] 
dist 16=[-63.483812614196205383  ,44.795883702130795170  ] 
dist 17=[.519982628348262129  ,40.431165542367553776  ] 
dist 18=[4.2010693666648140538 ,39.185441319508629701  ] 
dist 19=[-5.5268631723627384736 ,33.366859188401917178  ] 
dist 20=[-11.983064581888833164  ,38.322511776869207376  ] 
dist 21=[-19.831502649609318819  ,39.206766005707161326  ] 
dist 22=[-24.499119152718968054  ,38.081212611286401930  ] 
dist 23=[-26.491210308392142119  ,31.168360944391267427  ] 
dist 24=[-26.153657375270170333  ,28.118840788740856436  ] 
dist 25=[-22.418271254238935596  ,5.5047088466904520045 ] 
dist 26=[-21.105204139397418609  ,8.4908118753990509307 ] 
dist 27=[-27.933678461062464975  ,14.017465984150651380  ] 
dist 28=[-29.509470640087863502  ,17.754170158811225595  ] 
dist 29=[-9.0000276305686839971 ,20.588213833273253239  ] 
dist 30=[-8.8136691514542468372 ,21.380019082189536228  ] 
dist 31=[-6.9332366977998019981 ,4.9854347587886594423 ] 
dist 32=[-6.5649770237226758332 ,4.9716210548142124312 ] 
dist 33=[.13374157054090064784,4.0315298307205704913 ] 
dist 34=[.60708778133244486032,3.8894109463092358551 ] 
dist 35=[-.64688819876764714634,4.7717711220464137545 ] 
dist 36=[-1.4430003801505812326 ,4.9255148596853451543 ] 
dist 37=[-2.1780620542653745897 ,5.0296286321194049393 ] 
dist 38=[-2.5327265144312346323 ,4.7421940162916681677 ] 
dist 39=[-2.6124362679090401563 ,3.6629205422867351035 ] 
dist 40=[-2.5386375953492660312 ,3.4149953226355386740 ] 
dist 41=[-2.1039807359329858352 ,.37418830254436166788] 
dist 42=[-2.0672639425671436345 ,-.09448148574551346473] 
dist 43=[-3.1468453898806350874 ,.73809077973733998667] 
dist 44=[-2.9307821727083002642 ,1.4611632841442225396 ] 
dist 45=[-1.5150793936804308420 ,1.9161641593307918443 ] 
dist 46=[-1.0991345840715118144 ,2.0797332129071136455 ] 
dist 47=[-1.2634875690669370464 ,.61187629892634406943] 
dist 48=[-.80363521041478591292,.60125661288317131886] 
dist 49=[-.44599036025507927531,.4801928575795999596 ] 
dist 50=[.03303485385769717208,.45201904665778850191] 
dist 51=[-.12653371803436940854,.8173727942720690819 ] 
dist 52=[-.25510585879870772926,.57331382790022754169] 
dist 53=[-.34755814111013325123,1.0519143609767270267 ] 
dist 54=[-.41637635753476666493,.54832939633651714388] 
dist 55=[-.38261709306723454746,1.1170367793252291603 ] 
dist 56=[-.44367128485360262048,11.868948019235364336  ] 
dist 57=[-.36940955944054248392,.45534820852140099047] 
dist 58=[-.32167123952549480414,.10543877430716401017] 
dist 59=[-.82224133670995147915,.67575308043775376295] 
dist 60=[-.443130530805910658  ,.2172234384664201794 ] 
dist 61=[-.62109201404250252644,.64334690384615763678] 
dist 62=[-.12940040433491324383,.25745884003347125541] 
dist 63=[-.4749430031448458469 ,.18889718286505857092] 
dist 64=[-.09338467577231125947,.07693890224567320026] 
dist 65=[-.3404105830234724008 ,.4344195627757578639 ] 
dist 66=[.00792319899481962919,.05659196543312604072] 
dist 67=[-.67496423738026992552,.56517763115948634655] 
dist 68=[-.02801538845285513482,.07518189588446203617] 
dist 69=[-.72287962615726168844,.69590253047820134916] 
dist 70=[-.04038561667341375842,.07098845472389569709] 
dist 71=[-.73302855919327671859,.68238810983040922889] 
dist 72=[-.03884451384253474661,.05042899799058509394] 
dist 73=[-.77481539828212578957,.66008697392842032746] 
dist 74=[-.03071163375979723554,-.00264232869425051328] 
dist 75=[-.63083185120368983302,.67043194975766064333] 
dist 76=[-.04309935750718805064,.02294266119928236756] 
dist 77=[-.77450485166628966502,.63931155179993808973] 
dist 78=[-.04427720224513613912,.03160259573850785522] 
dist 79=[-.05969255595583684869,.56291765367887731348] 
dist 80=[-.03292230300458849289,.03409699689389508285] 
dist 81=[-.05532409493175531069,.40535322135271772288] 
dist 82=[-.00065700951943652824,.03438466387722450701] 
dist 83=[-.08242319608622279661,.41174071970489806189] 
dist 84=[-.00348738577132117846,.05574567704406164753] 
dist 85=[-.26765348876666673948,.41890334133349491207] 
dist 86=[-.05362204142101157588,.07175004434181755414] 
dist 87=[-.48154069558950323155,.1229191161258380819 ] 
dist 88=[-.03338831241280910220,.06359896576297673096] 
dist 89=[-.68472140735501190999,.50965347068909283273] 
dist 90=[-.02092544123334357734,.05905765275446338657] 
dist 91=[-.71221298615646769062,.34697595006484814338] 
dist 92=[-.04955447562191557355,.07312722688883856340] 
dist 93=[-.1097657253921770829 ,.47472760217441960732] 
dist 94=[-.00652658735184417989,.00328585801746144606] 
dist 95=[-.11809705778719330857,.6711030206172994164 ] 
dist 96=[-.08599684072755489256,.09838438494060234019] 
dist 97=[-.2850814336545586328 ,.76956780097424389453] 
dist 98=[-.09925284888579953153,.08809234318016385959] 
dist 99=[-.35747969811877241306,.80980648998931036134] 
dist 100=[-.1012720828963405521 ,.09706670621222957551] 
dist 101=[-.36340107231426884643,.28756686379311744522] 
dist 102=[-.11141122148379189913,.03162901859765237058] 
dist 103=[-.11943654395287170329,.08084991633834193279] 
dist 104=[-.13060273632269873341,.06359810121229142638] 
dist 105=[-.29862254557109553639,.478076535306923448  ] 
dist 106=[-.15084817825131263279,.05502774582025300664] 
dist 107=[-.37752239133853856767,.48727103719202331335] 
dist 108=[-.06484384366487051495,.05655356014377460354] 
dist 109=[-.34557983155051420197,.52973931456307903239] 
dist 110=[-.00021851842918295920,.00049321087527894068] 
dist 111=[-.30095400992148704629,.07641452412355220291] 
dist 112=[-.14064603970068908853,.00014182850818834617] 
dist 113=[-.41493551761911129822,.24663496497288924795] 
dist 114=[-.15016142258677332631,.00034794603851541144] 
dist 115=[-.47611281601802876878,.07903995114158278987] 
dist 116=[-.15101078090549980332,.00041883237006795732] 
dist 117=[-.48207621209292607079,.26783789489428079725] 
dist 118=[-.11522999984578488443,.00014913542653295162] 
dist 119=[-.08098198772055096061,.40299494750849240255] 
dist 120=[-.11371753593344835186,.00010990775509901862] 
dist 121=[-.08812066346082742962,.47693036769726263726] 
dist 122=[-.13176958724793184121,.00017733401566540309] 
dist 123=[-.12238478055745131065,.47644619816747069189] 
dist 124=[-.00386647397196198912,.00022364537363046896] 
dist 125=[-.25276391939865535228,.06907572653370102704] 
dist 126=[-.00037822620960413249,6.70542508671767518520e-05] 
dist 127=[-.39982474622166522973,.04513395656821471839] 
dist 128=[-.00051157537048489444,.00023798284994710061] 
dist 129=[-.50858659076744874369,.04709085223246176157] 
dist 130=[-.00142709339833370031,.00118986171767795246] 
dist 131=[-.52445411077997190716,.08260240086626520556] 
dist 132=[-.00112572245574014918,.00182850712048042839] 
dist 133=[-.34816196920934458656,.09152894850004987601] 
dist 134=[-.00028190641899710822,.00174474524376670145] 
dist 135=[-.24133845821206561692,.20727226885415157785] 
dist 136=[-.00058183918739704478,.00174080896104517497] 
dist 137=[-.17222630316921386538,.29335973387256515166] 
dist 138=[-.00257087747410610473,.00173202173902575677] 
dist 139=[-.1657461886741261593 ,.31237442237721381217] 
dist 140=[-.00360850845339851761,.00177743875855196707] 
dist 141=[-.16168340464235871401,.2176384148277772743 ] 
dist 142=[-3.36866059158084929950e-06,1.62596603101983446750e-06] 
dist 143=[-.08132474067856129587,.14210995452102793579] 
dist 144=[-2.51335900406031107420e-06,1.50806997000473679980e-06] 
dist 145=[-.18769095923196557155,.19091631469330320212] 
dist 146=[-3.91256308834021001990e-06,4.03792880186129462390e-06] 
dist 147=[-.18013324749171339087,.18457928940330453338] 
dist 148=[-4.76321799962790536180e-06,5.09777312659511925050e-06] 
dist 149=[-.18451463889845576217,.17545057397570086742] 
dist 150=[-9.66069058001799543730e-07,1.74254786826997690570e-06] 
dist 151=[-.08953842764698696297,.03820739096495925805] 
dist 152=[-3.47995929035344510840e-07,1.35415424747721804870e-06] 
dist 153=[-.17938583328753519973,.12864290947756266388] 
dist 154=[-2.56549100948828887820e-06,1.71619557656489266020e-06] 
dist 155=[-.18137963139340718931,.12788953693482201549] 
dist 156=[-1.81291233855704594090e-06,2.15461261617884365400e-06] 
dist 157=[-.17535997993104501147,.13438771821528790877] 
dist 158=[-5.62847819889236573390e-07,1.88666509078652635930e-07] 
dist 159=[-.11810832973267377777,.14334406285166544721] 
dist 160=[-4.01636308774847578430e-07,1.75033010283303041050e-07] 
dist 161=[-.20634371499324767842,.16644556546573966652] 
dist 162=[-3.72993692080174060390e-07,4.44175765856488975410e-07] 
dist 163=[-.19579617171500137947,.16941164134601396373] 
dist 164=[-4.61054889020657082550e-07,5.88198684097679465150e-07] 
dist 165=[-.19733661456397983578,.15875241077706992534] 
dist 166=[-1.44696453729257870650e-07,4.87181464343409702360e-07] 
dist 167=[-.14582707601275754848,.13024949892267219555] 
dist 168=[-4.20911424449876398790e-08,4.42349474417973513450e-07] 
dist 169=[-.12078741195755927611,.1884132954330332153 ] 
dist 170=[-5.75761317234462058380e-07,3.42567944335423558220e-07] 
dist 171=[-.12922964570987179949,.1974782269014468692 ] 
dist 172=[-8.31533888325565314800e-07,2.34686417420514902530e-07] 
dist 173=[-.13463390419328340887,.21820275175798258577] 
dist 174=[-4.80187730763526575450e-08,1.47452801137234383190e-06] 
dist 175=[-.09358654264917809379,.13858655420842113332] 
dist 176=[-3.78684612701519975150e-08,1.42758498346584167900e-06] 
dist 177=[-.09637744538061369078,.27969265050765319632] 
dist 178=[-2.26260523331321572820e-06,1.70691272624339729490e-06] 
dist 179=[-.09905796148927760851,.27675984483005068746] 
dist 180=[-3.20099447017966990870e-06,1.65003482958520068460e-06] 
dist 181=[-.10561032497977603196,.28322810320095744942] 
dist 182=[-6.04139538658675189530e-07,2.49754115862682175360e-08] 
dist 183=[-.12288651438952131323,.13690017081212697672] 
dist 184=[-7.23986337912503681470e-07,1.38689889327424799450e-07] 
dist 185=[-.1343927372064459013 ,.13519296768493152659] 
dist 186=[-1.06283620194313416470e-06,1.27870332539386899640e-06] 
dist 187=[-.13210411935163820141,.12901791064537343666] 
dist 188=[-4.30246687526880831490e-07,1.73138054251523432460e-06] 
dist 189=[-.15311642910415179739,.1244957662182721757 ] 
dist 190=[-3.58778997700550178970e-06,5.35488596826169468600e-09] 
dist 191=[-.15730600468996165897,.09992460809726386416] 
dist 192=[-4.69469736334633965040e-06,1.89817021647065375450e-06] 
dist 193=[-.15186333809313116979,.11485376947662505292] 
dist 194=[-1.22668482305171327170e-05,1.05917878170163716290e-05] 
dist 195=[-.1496598208663524294 ,.14251293443000581952] 
dist 196=[-5.12788158380144941620e-06,1.60898743507248179880e-05] 
dist 197=[-.10780703742558159239,.12633092161146869532] 
dist 198=[-3.10252519011221231190e-06,1.53766810045904476220e-05] 
dist 199=[-.09061448596031835532,.13947013579615220054] 
dist 200=[-5.46961204349439996380e-06,1.53762025115807931490e-05] 
dist 201=[-.07329066193436403351,.14616814888943937688] 
dist 202=[-2.27691667718938567160e-05,1.53751380158980765730e-05] 
dist 203=[-.06962484818359916620,.14507747697454904585] 

8 phat 5 dirichlet min maxes function [0, 2, 2, 2, 1, 2, 1, 0, 2] 
dist 0=[342.27486018830070523   ,342.27486018830070523   ] 
dist 1=[324.91250154020993042   ,346.37638807592710611   ] 
dist 2=[283.46514340453324789   ,349.42826621015860883   ] 
dist 3=[236.22907165573180491   ,345.42563766811694491   ] 
dist 4=[183.25891263226076052   ,274.27157409670968520   ] 
dist 5=[140.07141104357958135   ,254.57488206552164512   ] 
dist 6=[79.442239066264627460  ,196.17078410091349969   ] 
dist 7=[28.445953116992276990  ,170.74284464219299309   ] 
dist 8=[.40799915777190750736,45.625019408160415840  ] 
dist 9=[-39.018221644612787695  ,18.563249511160368129  ] 
dist 10=[-76.535633028558259840  ,-17.313488991865927923  ] 
dist 11=[-86.411407212495352460  ,-3.7212072600772403527 ] 
dist 12=[-98.865655655986320089  ,14.485421673781969579  ] 
dist 13=[-95.521886710176092573  ,17.967763345697609901  ] 
dist 14=[-87.856332307474288646  ,36.284590845265582797  ] 
dist 15=[-70.175041798695062181  ,47.130190742539430672  ] 
dist 16=[-.04185121328254860817,64.519245440278851279  ] 
dist 17=[3.5101731364363119316 ,57.881144197652144942  ] 
dist 18=[1.1203043798069367607 ,63.903341411652175725  ] 
dist 19=[-7.4645020296050252840 ,50.766504361198280825  ] 
dist 20=[-7.1401559891438205220 ,43.138091731527868453  ] 
dist 21=[-13.906997009889926233  ,42.013832846303453707  ] 
dist 22=[-26.225757211432725138  ,34.525350790035386926  ] 
dist 23=[-30.264480313620422217  ,31.168364365146449911  ] 
dist 24=[-31.232319751375735521  ,12.852110890065609809  ] 
dist 25=[-31.282027466933388651  ,7.4477473534662216201 ] 
dist 26=[-30.632997728461153647  ,12.763264176615642685  ] 
dist 27=[-44.708435455086995507  ,13.914869609278815107  ] 
dist 28=[-9.9482731781128773237 ,22.021043413990995838  ] 
dist 29=[-9.7572054233281343761 ,24.506503995865588558  ] 
dist 30=[-7.7049124792111901180 ,25.501630693440599181  ] 
dist 31=[-7.3008177489760468815 ,23.656722607962096161  ] 
dist 32=[.11492933556849568952,6.9457061565760485501 ] 
dist 33=[.99475031102651932828,11.725646457279846975  ] 
dist 34=[.37572108541548329164,5.5788333387715801503 ] 
dist 35=[-.21763510678179555311,17.030761970578717001  ] 
dist 36=[-3.8553365687844659555 ,5.4300386836223737346 ] 
dist 37=[-1.8708335374798709380 ,6.6735911360521432663 ] 
dist 38=[-5.7067871233486499785 ,4.0742239514834994991 ] 
dist 39=[-4.3113618752045868633 ,7.4094285753205835106 ] 
dist 40=[-3.6032972251856850872 ,.424732621277471148  ] 
dist 41=[-9.8526351052422118720 ,1.3621449708430753931 ] 
dist 42=[-3.3810337360315599495 ,2.9540803053710339337 ] 
dist 43=[-10.931616539308169533  ,.01285071381484448212] 
dist 44=[-1.2536836026858465054 ,7.8611524957750137419 ] 
dist 45=[-6.5010941280364076871 ,2.0007126463794786601 ] 
dist 46=[-.9391551309324115767 ,8.7054395763974103900 ] 
dist 47=[-7.3840808766489956369 ,2.7908310790673252735 ] 
dist 48=[-2.7643233717817880477 ,.81316386636900207784] 
dist 49=[-2.2782467600404650281 ,3.2458205232690820894 ] 
dist 50=[-5.1563496805579571392 ,.62782164620095101288] 
dist 51=[-4.2915114806343824984 ,4.2581390285261849890 ] 
dist 52=[-7.6042966908673663912 ,.63390016219662740706] 
dist 53=[-.67532532241437614098,4.6244692900029815673 ] 
dist 54=[-8.1345403663023681510 ,.49021068472067959333] 
dist 55=[-4.7464323769704229189 ,9.0247462485051819392 ] 
dist 56=[-5.4032848356450433137 ,.74078120556658128878] 
dist 57=[-5.6984418098915552185 ,10.170365768039211996  ] 
dist 58=[-3.5761556604290883518 ,3.0050071654839884684 ] 
dist 59=[-8.2660553421085137170 ,9.3080599960658331679 ] 
dist 60=[-1.0214956132246948699 ,4.5593034964409407862 ] 
dist 61=[-.72841938865384958508,.60071557212734747755] 
dist 62=[-.92196548874532714938,5.1666943416263200866 ] 
dist 63=[-5.8264816799783235673 ,.80087432575433395996] 
dist 64=[.00579169173494703437,1.1024756374709131820 ] 
dist 65=[-9.3367994123296992191 ,4.3403951207516323363 ] 
dist 66=[.00494812524219832549,1.0404730143178019666 ] 
dist 67=[-9.9725501546757460839 ,5.0308152653615091171 ] 
dist 68=[-.01587656606953771978,.73877667795422219151] 
dist 69=[-4.8794287880019023409 ,3.5485548161994950134 ] 
dist 70=[-.05012323450493391604,.60975620158108034657] 
dist 71=[-9.8528594500881652588 ,6.7123945339356867656 ] 
dist 72=[-.09838330453594637012,.07727542344699532498] 
dist 73=[-9.3607361047608135152 ,12.153044061957074638  ] 
dist 74=[-.3289225209196229697 ,-.00214907095565253219] 
dist 75=[-8.2746375269682915943 ,11.523944601805165218  ] 
dist 76=[-.48915284218393185713,.01651151660375318078] 
dist 77=[-.34947374442423068251,1.5385130141792311873 ] 
dist 78=[-.47722138778207524382,.19237442077014824044] 
dist 79=[-.22015621242978873404,1.0964425495659704223 ] 
dist 80=[-.01542752552697834620,.45535887090927411319] 
dist 81=[-.38867976643838867148,.8546920711713764412 ] 
dist 82=[-.00310735697655381432,.56965583103544212214] 
dist 83=[-.62349887770175435889,.60690106421703003456] 
dist 84=[-.02217821714487006924,.58943095142415788934] 
dist 85=[-.68108712177890375037,.53255237033387021861] 
dist 86=[-.06118390691032799412,.5726047333806803321 ] 
dist 87=[-.74726468754076261751,.40066774381910370315] 
dist 88=[-.30759195223420387579,.19846417727654213504] 
dist 89=[-1.0244665515782404333 ,.40959590046492835704] 
dist 90=[-.48905320355248422822,.05186760403233782157] 
dist 91=[-1.0416188394458022047 ,.65116403100511634822] 
dist 92=[-.6856525632692574019 ,.04417568719646759552] 
dist 93=[-.65587916138984952845,.04447158566815823323] 
dist 94=[-.77349316377596829589,.05126594364598503484] 
dist 95=[-.59984742305461762925,1.0794862443110411242 ] 
dist 96=[-.23369166197999562242,.33137134337151629749] 
dist 97=[-.68467368248692833971,1.2374338350131709137 ] 
dist 98=[-.11877924367783336546,.61225366211661025579] 
dist 99=[-.76776273247855255934,1.3866275524677047471 ] 
dist 100=[-.38958839813488155804,.59417265499854667205] 
dist 101=[-1.1308835187095312965 ,.59414448086040971042] 
dist 102=[-.51861409908443534159,.63975125576731510528] 
dist 103=[-1.4443480625651699732 ,.94916803107443224477] 
dist 104=[-.77305578825304699278,.70737626790209772741] 
dist 105=[-1.7829522648818762097 ,.72842529095179081211] 
dist 106=[-1.2329405155931846786 ,.91672185424335943362] 
dist 107=[-1.7046788775029785439 ,.64839687981644699554] 
dist 108=[-.20777523709923854787,1.0215349319656720054 ] 
dist 109=[-1.2264968032505223968 ,.95174426533608132665] 
dist 110=[-.00384663928321170900,1.0186534567984541474 ] 
dist 111=[-1.1813314128600372737 ,.75619935016423373371] 
dist 112=[-.20385245685837626913,.22418664534896401738] 
dist 113=[-1.2135671297503772991 ,.95381121735878999301] 
dist 114=[-.47923510660512576577,.03035941446208802983] 
dist 115=[-1.1698707282305753997 ,1.0465769770733558445 ] 
dist 116=[-.66737395096634478862,.13550883765314689777] 
dist 117=[-.77398207992214389062,1.0295198682015135238 ] 
dist 118=[-.70874089825648585402,.22233781704326210081] 
dist 119=[-.78708847071466160272,.75698274391078562647] 
dist 120=[-.98441757168379040273,.04335603535327787969] 
dist 121=[-1.2029919754294814743 ,1.1328016211040017889 ] 
dist 122=[-.61026380826794465659,2.0768804399101728283 ] 
dist 123=[-1.3753336218146150156 ,1.2675773171884324735 ] 
dist 124=[-1.5834284102571179989 ,2.2792097777701633485 ] 
dist 125=[-2.3859416158782062588 ,.11473561289471874824] 
dist 126=[-.4720196506914763415 ,2.2253233781974794431 ] 
dist 127=[-5.7237587524066319354 ,5.0360925993145492041 ] 
dist 128=[-7.7798624734164166528 ,8.0676497609045087947 ] 
dist 129=[-9.0615761182406376035 ,9.9574497486315891833 ] 
dist 130=[-.00109962228264794876,1.3889741329409865382 ] 
dist 131=[-10.072185762223907549  ,11.447516923140002664  ] 
dist 132=[-9.8617625399905035137 ,11.445191009164034769  ] 
dist 133=[-9.0502798109445619720 ,11.436221015459270617  ] 
dist 134=[-.01797099697888719924,1.2422714110478916184 ] 
dist 135=[-6.5608989740615436523 ,11.398912795658559638  ] 
dist 136=[-13.771415758567763710  ,.00039947945269950812] 
dist 137=[-18.818379208339439667  ,11.361615192659361408  ] 
dist 138=[-.90239870862445067054,.32893071812065839273] 
dist 139=[-22.797825453072903030  ,11.350322382980333539  ] 
dist 140=[-1.1538606737886122731 ,.43174481965882335905] 
dist 141=[-1.0553382391002180282 ,9.14029182037020528510e-07] 
dist 142=[-1.1843190489826592015 ,5.8580575267998260457 ] 
dist 143=[-.83255365909888440859,1.58596957889666637620e-06] 
dist 144=[-1.4099194867977558569 ,11.889485199624654969  ] 
dist 145=[4.59925034412985823330e-07,.41627679653924784147] 
dist 146=[-1.5061388246286364159 ,10.813876686921548712  ] 
dist 147=[-3.26925684473654320490e-07,.63906140293703193003] 
dist 148=[-1.3918140512736076418 ,1.0417973955925407774 ] 
dist 149=[-5.53699583903115628820e-07,.55205626512664602707] 
dist 150=[-4.8507821018576548264 ,7.3671508852155143579 ] 
dist 151=[-1.89458110440923608240e-06,.41627682690588008515] 
dist 152=[-2.3289796071271595086 ,10.025999639702551651  ] 
dist 153=[-.39361608727265748475,-3.14634655422723206110e-08] 
dist 154=[-9.3171840443864564721 ,11.886909620868755698  ] 
dist 155=[-.52939552946872274563,2.12490023466614572410e-08] 
dist 156=[-.32458123726135627268,1.0849372623785328777 ] 
dist 157=[-.09108853056484581182,1.06819125362076281580e-07] 
dist 158=[-12.074676002231737252  ,1.1005209394207648219 ] 
dist 159=[-.07143502072058625139,6.38040461342384338430e-06] 
dist 160=[-9.6288036894591244010 ,1.2803783659666962327 ] 
dist 161=[6.27914183121662156420e-08,.03980990257016760340] 
dist 162=[-12.150573041702102570  ,1.4491019294454809639 ] 
dist 163=[-3.33383964910878500000e-06,.05946341465932061764] 
dist 164=[-.42445499158280606559,1.6246962964771833899 ] 
dist 165=[-8.62678400919967882230e-08,.05016224897359954875] 
dist 166=[-1.37869599566477934680e-05,1.6789448972199834940 ] 
dist 167=[-1.46810199197820261880e-05,.03873374502274906137] 
dist 168=[-1.81277061068809803010e-05,5.9863154920246496300 ] 
dist 169=[-.02853281876264258212,-1.19117765083160831770e-08] 
dist 170=[-.65908872359788304895,6.0482944301903251049 ] 
dist 171=[-.03888516312596373315,3.56655483429983743040e-09] 
dist 172=[-.97479268445637722126,.14671814990943487155] 
dist 173=[-.00934525160608467837,1.34689779504594487230e-08] 
dist 174=[-1.0531999654660520458 ,7.6876362888499344662 ] 
dist 175=[-.00737195290121923244,6.49238631313881822410e-05] 
dist 176=[-1.2097123446329543866 ,4.9167573691650172117 ] 
dist 177=[4.18894110755366223560e-09,.00369072309024583960] 
dist 178=[-1.4175546814987576412 ,6.9437603422930428369 ] 
dist 179=[-2.36172752535755770620e-05,.00566402198229203569] 
dist 180=[-1.4205856928351505785 ,.31166145023039454357] 
dist 181=[-8.45335766050499126780e-09,.00487145871223999963] 
dist 182=[-3.9626189348910275962 ,2.9278488755726256165 ] 
dist 183=[-.00013593560114583423,.00368947504399017542] 
dist 184=[-5.1632859028717920423 ,1.95078955572375413870e-08] 
dist 185=[-.00332686382013039201,1.55558694060671732610e-08] 
dist 186=[-5.3441338872210403920 ,.76435974239488366097] 
dist 187=[-.00450759921060970028,3.93639877505652146780e-08] 
dist 188=[-4.7661316466541377763 ,.5310612464046531784 ] 
dist 189=[-.00095547640381115429,5.60199575138907836070e-08] 
dist 190=[-6.0968787198702819417 ,6.9630000714687689506 ] 
dist 191=[-.00075328052185640057,.00051765183184658928] 
dist 192=[-.73378570796720309707,7.1721792842615134425 ] 
dist 193=[-7.74185096649771033470e-08,.00042436978276304283] 
dist 194=[-7.0335755224442257605 ,7.8131991000440717162 ] 
dist 195=[-.00028247007337881120,.00063080456040375443] 
dist 196=[-6.2934284362729114958 ,.50073696904430649901] 
dist 197=[-3.28810653569259449690e-07,.00052894497693396774] 
dist 198=[-6.3664399915374759413 ,3.0938870678277860848 ] 
dist 199=[-.00024770081664761806,.00041089841584499347] 
dist 200=[-7.3062964175171460374 ,.28778948723105505473] 
dist 201=[-.00028047600641975568,7.91709003728838429970e-08] 
dist 202=[-7.5192354826213421008 ,1.1491646497114701982 ] 
dist 203=[-.00038505118284974889,1.77260261561705220110e-07] 
dist 204=[-.2425094667229463636 ,1.1703473932801461610 ] 
dist 205=[-.00010719546881917982,5.51429847995252298430e-08] 
dist 206=[-.2823019460826815205 ,1.2757774156320627480 ] 
dist 207=[-8.45662034354463370290e-05,8.54480355167987751810e-07] 
dist 208=[-.15190402799345241958,.5448646693707229751 ] 
dist 209=[-1.39407352844669194820e-08,4.22833844969800128590e-05] 
dist 210=[-.84036211461849002137,1.1932415179085292307 ] 
dist 211=[-2.83556418360713996240e-07,6.49126519593262862530e-05] 
dist 212=[-.59518533035197679667,.93980417838600546   ] 
dist 213=[-4.93086032988984765900e-08,5.57705115926246692690e-05] 
dist 214=[-.7084941165453158305 ,.97553072097015977576] 
dist 215=[-1.67659108847428417080e-06,4.22833118296304632890e-05] 
dist 216=[-1.95639117729106863440e-06,.13890896979275059528] 
dist 217=[-3.76650132482741678780e-05,4.08582667252665044030e-08] 
dist 218=[-.57074000786365322274,.23936446076475280704] 
dist 219=[-5.11521382965259132920e-05,1.10406047917933550120e-08] 
dist 220=[-.87240028444713360935,.07451110115746673998] 
dist 221=[-1.14363413808533048160e-05,4.30865287568403969340e-09] 
dist 222=[-.89156360835242003352,.8223469222599801813 ] 
dist 223=[-8.96343143541739597710e-06,6.27090117271957106280e-06] 
dist 224=[-.79589671959566450303,.82625690853175940226] 
dist 225=[-1.73762689111683468950e-08,5.04956628251255026270e-06] 
dist 226=[-.99368626791623925607,.80745492323166230619] 
dist 227=[-3.34585776568696908910e-06,7.52268556166335693730e-06] 
dist 228=[-.89775991239373105962,.00761773463284043500] 
dist 229=[-1.06770139674281711920e-07,6.31338621567124977390e-06] 
dist 230=[-.84346423941489395678,.76808647551800963906] 
dist 231=[-2.92598824597616349880e-06,4.90018580256650320270e-06] 
dist 232=[-.29617814554297787014,.54382902167563854552] 
dist 233=[-3.37486329235923920450e-06,1.25717703691857318550e-09] 
dist 234=[-.45994155116743936236,.69326266773851301728] 
dist 235=[-4.63868310291841871550e-06,1.61191039729486325730e-09] 
dist 236=[-.52303491075795133449,.73778612715186485436] 
dist 237=[-1.32014511223096245440e-06,5.74657671454190640570e-08] 
dist 238=[-.58826763833204688493,1.1141126595403257413 ] 
dist 239=[-1.04124325823184848650e-06,8.01491853739593512180e-07] 
dist 240=[-.00065743513578616671,1.0713095347432476271 ] 
dist 241=[-6.62768682984278998850e-09,5.22155429413209177440e-07] 
dist 242=[-.65082371024128239342,1.1337348953105150169 ] 
dist 243=[-2.92192543008013859430e-07,7.97442408658021916100e-07] 
dist 244=[-.59779910886541168059,.78566012394697404447] 
dist 245=[-1.13645838900980764880e-07,6.84104570282576507580e-07] 

8 phat 5 dirichlet min maxes function [2, 0, 2, 1, 0, 1, 1, 2] 
dist 0=[374.21747980023992900   ,374.21747980023992900   ] 
dist 1=[343.81562980066243691   ,378.64098565288634581   ] 
dist 2=[302.62492604408865800   ,374.21747980023992900   ] 
dist 3=[242.78884640201528633   ,340.44042294247583918   ] 
dist 4=[196.56372879310880921   ,292.95396469628662311   ] 
dist 5=[141.72656333646563066   ,225.95371809534378076   ] 
dist 6=[91.149374204672359840  ,213.05572208781071742   ] 
dist 7=[30.914738078893002970  ,121.89892394977024414   ] 
dist 8=[-23.615076255183244981  ,79.418575742542017393  ] 
dist 9=[-66.443643684667876520  ,1.9805042088184018491 ] 
dist 10=[-83.369332754213770717  ,2.5970100543899633726 ] 
dist 11=[-93.276614383247131258  ,8.6113514024090721041 ] 
dist 12=[-93.916777946811311378  ,17.142928338908835902  ] 
dist 13=[-80.190817068030757681  ,27.234943512825680035  ] 
dist 14=[-75.256235759501304183  ,39.829493519387967506  ] 
dist 15=[-4.2674649094015178916 ,49.678531336905126023  ] 
dist 16=[9.0102039284656442447 ,51.351519620053903533  ] 
dist 17=[28.554810781725207964  ,45.707732054907784995  ] 
dist 18=[20.136245847941375316  ,44.311373715547522646  ] 
dist 19=[-1.8960266476689661683 ,45.800953884664040558  ] 
dist 20=[-14.601688496168611623  ,43.936103174470854704  ] 
dist 21=[-23.423448206790733536  ,36.883719940787941773  ] 
dist 22=[-29.826165526008062128  ,33.135383378399689528  ] 
dist 23=[-33.883929210161463365  ,12.540011573427005640  ] 
dist 24=[-33.939185531136141924  ,1.7854922586346672969 ] 
dist 25=[-38.424561275520908191  ,-1.7855397378692521081 ] 
dist 26=[-33.786838748055268637  ,-1.3811872898247002521 ] 
dist 27=[-17.201777589108739667  ,16.500343362821281373  ] 
dist 28=[-10.300095097061427700  ,19.939061204633849847  ] 
dist 29=[-8.2329443047867587077 ,28.553503117484992864  ] 
dist 30=[-7.8270955944493059532 ,26.508666492770053207  ] 
dist 31=[-2.1213853303473381265 ,6.8469233125459510567 ] 
dist 32=[1.2575831605428059670 ,5.2476072186962733480 ] 
dist 33=[.15502011903552368928,13.178610603542043056  ] 
dist 34=[1.8778980153880468568 ,5.7372543948253798991 ] 
dist 35=[-.10672819795502540053,10.608295710089409819  ] 
dist 36=[-1.4114998945694659658 ,5.5921817547220247399 ] 
dist 37=[-2.2966461936867418545 ,13.679635836676721305  ] 
dist 38=[-2.6695012380795982527 ,4.0602672269094159358 ] 
dist 39=[-4.5129765796403982289 ,7.1155501544911423993 ] 
dist 40=[-3.7833865249229497234 ,-.07042545875925804864] 
dist 41=[-7.6221307900954109008 ,4.3044534599829154805 ] 
dist 42=[-3.4253405719780777122 ,-.43931530458640923134] 
dist 43=[-8.0784263958223126675 ,.7733486799732276777 ] 
dist 44=[-1.4340755701036643870 ,1.5357356537866827154 ] 
dist 45=[-9.5334676220275100018 ,2.8117211939744789537 ] 
dist 46=[-1.0399240769076618115 ,2.1400271643460123104 ] 
dist 47=[-10.684816648792548863  ,2.8281138674396475598 ] 
dist 48=[-.08340033274121722575,1.2227557357040571265 ] 
dist 49=[-10.410760062031822609  ,8.4549192966015565945 ] 
dist 50=[.13787334508506529609,1.1366489631390533467 ] 
dist 51=[-4.8872469804393236100 ,8.4685767121657202027 ] 
dist 52=[-.22188231660789978469,.6539335099346766735 ] 
dist 53=[-3.4283965408084111440 ,11.567612860600837394  ] 
dist 54=[-.365191715642576003  ,.47279459233849074712] 
dist 55=[-3.7730626833957467479 ,5.1870917147457103861 ] 
dist 56=[-1.1332883290149838305 ,.06370658330902498779] 
dist 57=[-.4990359084364005633 ,9.5651017870428457686 ] 
dist 58=[-1.3756109417209472852 ,.09163116548720068113] 
dist 59=[-.15731820457930690683,8.7020693298955688281 ] 
dist 60=[-.58073943402747352916,.15488358540480986625] 
dist 61=[-.11803502374361442021,5.8419211880737314889 ] 
dist 62=[-.50811311451288943993,.53029856057377333414] 
dist 63=[.00620316839847922587,4.6706144671885222703 ] 
dist 64=[.04183672442745077482,.81205056683610654823] 
dist 65=[-3.3317787406569969372 ,.09490328299463963461] 
dist 66=[-.55701786046654667719,.97841718041893895464] 
dist 67=[-6.8961046572095250846 ,.08706537103187962702] 
dist 68=[-.6120176084935764467 ,.23698070457400306718] 
dist 69=[-9.9792968199073182510 ,.06443283083449626832] 
dist 70=[-.57416279067545895928,.52447472289128282652] 
dist 71=[-11.242767147166787459  ,.00573881304737381952] 
dist 72=[-.69731561620674071983,.26592271678978387922] 
dist 73=[-.04954243389097184613,5.9781947873808343350 ] 
dist 74=[-.74530839457756752552,.29008007516945827407] 
dist 75=[-.02002861499880832333,9.3495375743756430060 ] 
dist 76=[-.50996080186848622824,.42926887340371675035] 
dist 77=[-.01470997051354987175,10.505793988777529561  ] 
dist 78=[-.59779334117907335692,.4150413510692568563 ] 
dist 79=[.00166871409886265572,10.874608971466070345  ] 
dist 80=[-.2962278245729886003 ,.25013530095927145833] 
dist 81=[.00619312989445398455,3.0839784888138829526 ] 
dist 82=[-.29914243587630845917,.22252250494552200849] 
dist 83=[-.72792507346078541813,.01020382005083007151] 
dist 84=[-.54424051018986713197,.46453072373198127636] 
dist 85=[-3.6871356737359469418 ,.00781383350613931014] 
dist 86=[-.56321365309410969488,.57905752225829325523] 
dist 87=[-4.9135593519920144157 ,.00119248586853588523] 
dist 88=[-.52959184023603774759,.74568787137046030163] 
dist 89=[-4.9282443910242046554 ,-.00189223677228886797] 
dist 90=[-.6030728605908861879 ,.70917654269878604136] 
dist 91=[-4.4529188051596101443 ,.00182277995696316528] 
dist 92=[-.37533856080519567868,1.0479807821746079722 ] 
dist 93=[-3.3351494671136767256 ,.00378816562098237361] 
dist 94=[-.58106674138515136382,.98278555489793089948] 
dist 95=[-2.5946219883756003965 ,.09009440035237061221] 
dist 96=[-.75270740436902476017,.17741880600352294848] 
dist 97=[-.15861677442298792537,3.5118720059387135588 ] 
dist 98=[-.78480703308847353791,.16583241260317545073] 
dist 99=[-.11570228948836966669,5.4414267894955948150 ] 
dist 100=[-.28406250080349011157,.16734255895800534146] 
dist 101=[-.19958342963187626159,6.5346876837074794918 ] 
dist 102=[-.50761443578271570528,.32720365325415584014] 
dist 103=[-.93861163414952241278,6.4865785407246260304 ] 
dist 104=[-.58032544825829349359,.69565621634507656136] 
dist 105=[-3.5065490268098269090 ,.1632070692653617793 ] 
dist 106=[-.59008564459722371454,.6302909671765719823 ] 
dist 107=[-4.9102285399143785336 ,.06464207615522605905] 
dist 108=[-.00028408852217118841,-8.55362022310495232240e-05] 
dist 109=[-6.4848227849480707268 ,5.6067515796688954040 ] 
dist 110=[-.00020696915441709624,.00012736214917345618] 
dist 111=[-6.7131593670272280786 ,11.064448132071583650  ] 
dist 112=[6.45129814125037555160e-05,.00019550287633744693] 
dist 113=[-4.1712903946275155512 ,10.122052554799914473  ] 
dist 114=[.00012782723988552153,.00018428216582699455] 
dist 115=[-2.6491115008240255234 ,2.9129228222954319589 ] 
dist 116=[2.45416828995933093280e-05,.00014232725966463766] 
dist 117=[-4.2784069608437854953 ,7.0028974892205419617 ] 
dist 118=[-8.00849157113602092460e-05,.00010306686315255396] 
dist 119=[-1.9809013023500243383 ,9.3947889718275276278 ] 
dist 120=[-.00011716315824882290,-1.73782743519493928590e-06] 
dist 121=[-8.4241756608157005766 ,11.022091557847539806  ] 
dist 122=[-.00011987025003444171,-3.59598558765954508740e-05] 
dist 123=[-.08289805327839481326,.62881199526577587529] 
dist 124=[-3.32388943629478261650e-05,-1.21117127224854645260e-05] 
dist 125=[-10.691969303598246857  ,.4545365796205012614 ] 
dist 126=[-2.39817153556781145780e-05,1.42819904511591950950e-05] 
dist 127=[-8.3989100363038773556 ,.38127389116304378268] 
dist 128=[6.28342105937159453900e-06,2.26627447754259794190e-05] 
dist 129=[-10.711246942050393324  ,2.22355107387823730430e-05] 
dist 130=[1.59666435187516526890e-05,2.13433881195867877800e-05] 
dist 131=[-.49991402601725185695,.14057458896886430964] 
dist 132=[2.81586942904823281240e-06,1.82946570744068759980e-05] 
dist 133=[-.67650327712138402603,1.1433007705778989657 ] 
dist 134=[-1.28109055816821411710e-05,1.31169694275736028670e-05] 
dist 135=[-.70527483929271792269,5.0858949632761951011 ] 
dist 136=[-1.75518489757948637310e-05,-7.76434535029759363350e-07] 
dist 137=[-1.08945591635808475140e-05,5.1021566079278608794 ] 
dist 138=[-1.17857022380745380300e-05,-4.39760449561073343640e-06] 
dist 139=[-.06770507266550651387,.76826780608901660372] 
dist 140=[-4.20493604904140623600e-06,-1.25915549617926686040e-06] 
dist 141=[-3.13541194160332084410e-06,6.6599081306576318716 ] 
dist 142=[-3.01720133094818639330e-06,1.92121697643122306510e-06] 
dist 143=[-.1110895425213875556 ,4.1775857578880119328 ] 
dist 144=[9.76708133890314309280e-07,2.91605348206714837250e-06] 
dist 145=[2.06688697291466447960e-06,5.9309190852906586325 ] 
dist 146=[1.93570628540755521590e-06,2.73123904359555306040e-06] 
dist 147=[-.19803567552611433263,.2568647476913041591 ] 
dist 148=[3.50256752274405071310e-07,2.10677687529127034040e-06] 
dist 149=[-3.2854209871933651144 ,2.3663770817965298640 ] 
dist 150=[-1.24659532863708507120e-06,1.50644203142185363040e-06] 
dist 151=[-4.3766643428243396408 ,2.15935216334275274530e-07] 
dist 152=[-1.73378879826330838450e-06,-3.20967851840416621240e-08] 
dist 153=[-4.5779870367510495007 ,.3934339146487796492 ] 
dist 154=[-1.75671740060104946430e-06,-5.30769965562035413270e-07] 
dist 155=[-.44074354540654380164,.15752823910680730713] 
dist 156=[-4.95652990892800777920e-07,-1.71589109553760197170e-07] 
dist 157=[-.33762411927262382367,5.9286006694237808033 ] 
dist 158=[-3.54217407692256671240e-07,2.19296141199007365700e-07] 
dist 159=[-.29912888654071933188,6.1418595082004206055 ] 
dist 160=[9.14852714130227887490e-08,3.41736013108734891440e-07] 
dist 161=[-.20637774836050191591,6.6983734948067738538 ] 
dist 162=[2.32983289230254537730e-07,3.19839102794035621800e-07] 
dist 163=[-.18592908593216591683,.48149898500824583569] 
dist 164=[3.84639436540615673640e-08,2.75813121875669587290e-07] 
dist 165=[-5.5676664369671756386 ,2.4088276681550977842 ] 
dist 166=[-1.89371480445992794000e-07,1.96375245939967807430e-07] 
dist 167=[-6.3906468716405374644 ,.64285574762062582131] 
dist 168=[-2.58967587160947095090e-07,-1.13860723298613479860e-08] 
dist 169=[-6.6294501762816194114 ,.65442737574090634718] 
dist 170=[-1.70581095343281387750e-07,-6.08032021645889612160e-08] 
dist 171=[-.55883111260924140723,.13103521870501035041] 
dist 172=[-6.09449310955732915450e-08,-1.56595524800295946550e-08] 
dist 173=[-.58943820669031925976,.31187861455676494694] 
dist 174=[-4.34625915172370245600e-08,3.08621884430328889710e-08] 
dist 175=[-.61177357011880141285,.30622515842216408078] 
dist 176=[1.31209345844250739150e-08,6.39315686516131164350e-08] 
dist 177=[-.38112818758625797827,.34215462655969583861] 
dist 178=[2.34201683478154050960e-08,5.74593052163328368690e-08] 
dist 179=[-.29033523731926376887,.34942792913891684524] 
dist 180=[1.82679522500000000000e-10,5.03425694780449828690e-08] 
dist 181=[-.19785411741573219074,.43274428043597716476] 
dist 182=[-6.15243580773049458900e-08,3.43177202330993534760e-08] 
dist 183=[-.22795077265669300298,.44968763280190722295] 
dist 184=[-9.02172703041014239010e-08,1.60596669431470044150e-08] 
dist 185=[-.26243449940696501343,.06623352013121087165] 
dist 186=[-2.80981813901235452550e-08,-3.41427863593813096270e-09] 
dist 187=[-.11630385926385159906,.19468760895156232026] 
dist 188=[-6.62363989371526691790e-09,.88156505938177807818] 
dist 189=[-.21258037098972547351,.47143603993565355597] 
dist 190=[-4.71793607156361014920e-09,1.1029271621407623762 ] 
dist 191=[-.13360281361892115058,.49606341496125714302] 
dist 192=[-1.67399109689034668930e-09,1.1205480612880525544 ] 
dist 193=[-.25105701287338527536,.70380681938522046802] 
dist 194=[-1.41606708217692256290e-09,.29390744584240655171] 
dist 195=[-.16663891802086222873,.32738533923676698673] 
dist 196=[-1.33580776787313174280e-09,.80543392765070548881] 
dist 197=[-.4495861543287946138 ,.33587465281360386727] 
dist 198=[-.34438755328305668616,.66932283971766300572] 
dist 199=[-.48019292549993487712,.41448503868985582364] 
dist 200=[-.34912586546411645851,.57782101309229099852] 
dist 201=[-.48907556363496259227,.31864424806113866556] 
dist 202=[-5.07135187506104720610e-09,2.23202319402968447080e-09] 
dist 203=[-.11717072421430853695,.08048408254860509731] 
dist 204=[-.07787396490531583070,.30581099238440637648] 
dist 205=[-.8471944279910621332 ,.60394457542116752919] 
dist 206=[-.31098246505552786191,.31370255484033747037] 
dist 207=[-.69937653456636628795,.49352080433067413928] 
dist 208=[-.32003462317430116908,.3817810179566483499 ] 
dist 209=[-.86909884008611888772,.59158150979343218757] 
dist 210=[-.12462150239707722383,4.27719777450942401390e-09] 
dist 211=[-.26932855747326932892,.16178074398355005841] 
dist 212=[-.71493005047764521217,.44454685443061842352] 
dist 213=[-.49380041635497064316,.38265155602147834739] 
dist 214=[-.7665650338311455276 ,.47469593231952891496] 
dist 215=[-.55609904558745429865,.58534364261404858864] 
dist 216=[-.78481514836342552443,.57888058762582468092] 
dist 217=[-.56255937329938763459,.61592672828070928617] 
dist 218=[-4.44381178374027169100e-09,4.92928690215389514880e-09] 
dist 219=[-.11983817323498961702,.19530001175185017417] 
dist 220=[-4.12423099004711624170e-09,.28763233389996590213] 
dist 221=[-.618249203102129666  ,.52063762356025605081] 
dist 222=[-3.03537641855024223490e-09,.29225549765113268008] 
dist 223=[-.56007795521586975498,.43941932330254341487] 
dist 224=[-2.53922888616789538110e-09,.26797244349307541338] 
dist 225=[-.67076923577782558364,.67838042481330015406] 
dist 226=[-3.21368604812009221140e-09,4.34259266822474799880e-09] 
dist 227=[-.11753697007854528194,.31297691970807558944] 
dist 228=[-.14862308963534544476,4.03041363793497709790e-09] 
dist 229=[-.39370678319095784673,.24792614811383682811] 
dist 230=[-2.09324426410639719260e-09,.07789143037744884821] 
dist 231=[-.49733154380618538745,.4458049868918999131 ] 
dist 232=[-.02000991517002386372,3.63304107410812587630e-09] 
dist 233=[-.44830994717675139619,.5370218273397732316 ] 

8 phat 5 dirichlet min maxes function [2, 0, 2, 0, 2, 0, 2] 
dist 0=[300.31145416514689691   ,300.31145416514689691   ] 
dist 1=[289.21881027654421414   ,303.77420328305272535   ] 
dist 2=[269.87059157007044307   ,301.45576247036198209   ] 
dist 3=[241.94661338922103519   ,280.30784844676269718   ] 
dist 4=[196.72752586764486823   ,277.08984546876419642   ] 
dist 5=[148.67605386436296657   ,193.78141532094526320   ] 
dist 6=[109.62736330600959102   ,181.37813410987407556   ] 
dist 7=[71.659936238694696803  ,117.24322380411953989   ] 
dist 8=[28.266730157540047705  ,90.556418433591054707  ] 
dist 9=[-15.254131858042041670  ,23.049493896604101134  ] 
dist 10=[-42.752702686720164890  ,12.321019259941808115  ] 
dist 11=[-56.582005978688923317  ,-10.100639129488751971  ] 
dist 12=[-58.939455317145162201  ,-14.608790843744972245  ] 
dist 13=[-54.855754719674504210  ,-9.3844113201371877513 ] 
dist 14=[-53.351952987330783532  ,6.9249006380991933321 ] 
dist 15=[-40.835362719416158567  ,22.745110481880654685  ] 
dist 16=[-38.957302265884219969  ,35.357284412392842909  ] 
dist 17=[-3.1985339439876806126 ,44.905378987554545585  ] 
dist 18=[.2232479078514454794 ,46.638406211350675982  ] 
dist 19=[9.2583173508298267253 ,41.995017450764347691  ] 
dist 20=[10.433791299366926215  ,40.583171738918038323  ] 
dist 21=[.58264139082925011608,25.402873874481178264  ] 
dist 22=[-12.181110068023918146  ,23.943826225302094228  ] 
dist 23=[-21.368721920529806107  ,19.238358809698736075  ] 
dist 24=[-26.244974057449613999  ,17.298307357499167495  ] 
dist 25=[-28.083851867771728066  ,13.791275219868758831  ] 
dist 26=[-27.468809630513991495  ,13.988567080640584711  ] 
dist 27=[-22.240780879883992810  ,13.582720714370598442  ] 
dist 28=[-18.709887732569177774  ,14.162280035163098526  ] 
dist 29=[-5.6301411167986922733 ,13.687780396620516839  ] 
dist 30=[-5.4734092582649201747 ,13.082771760903477571  ] 
dist 31=[-4.2276182727513014845 ,12.691441443528334095  ] 
dist 32=[-3.9864044276682402052 ,9.4910067149506713905 ] 
dist 33=[-.44801451803515478495,6.6135721594016444163 ] 
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dist 85=[-.51391961439921617192,.00503311708342409610] 
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dist 98=[5.56992712295171528940e-05,.00142720965529546697] 
dist 99=[-.22134557150245146143,1.0284117324327614418 ] 
dist 100=[-.01989456642231570319,.10032973393970803262] 
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dist 105=[-.55184647511624471761,.25836602911088254513] 
dist 106=[-.14665145866077748755,.04920853359929586817] 
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dist 108=[-.13877865212851831233,.1653315291870877506 ] 
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dist 113=[-.19171331097654033272,.229245737027623532  ] 
dist 114=[-4.77773134068450305810e-05,.00020972863006792207] 
dist 115=[-.1787514698824699717 ,.22198088042192175201] 
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dist 119=[-.09000742604826783193,.21945956584821026936] 
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dist 130=[3.19014510552275374880e-06,2.09812155527757357640e-05] 
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dist 132=[6.02668700548496726810e-06,1.52750600197275347070e-05] 
dist 133=[-1.1548251927341711970 ,.19278837407767871769] 
dist 134=[-7.29175073830604093490e-06,9.07683292865350495830e-06] 
dist 135=[-1.0213463640059584587 ,.2042734896397373198 ] 
dist 136=[-1.14681567319493802320e-05,6.38768313967437991230e-06] 
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dist 140=[-7.61416524255535237770e-06,-1.40079368299878449100e-06] 
dist 141=[-.94180187562555634082,.3187727548707795813 ] 
dist 142=[-2.07664756618032451160e-06,6.47237822103061950670e-06] 
dist 143=[-1.1743609578525586314 ,1.0273066270874784565 ] 
dist 144=[-1.46454416106292323950e-06,8.85969632833656556880e-06] 
dist 145=[-.14078488567593646515,.20715798968876221403] 
dist 146=[4.88084131209511577050e-07,2.45819323086708304720e-06] 
dist 147=[-.17882271578576896998,1.4431876302959697239 ] 
dist 148=[6.26680288430817839270e-07,1.77276106937647279600e-06] 
dist 149=[-.2284918624534214651 ,1.2140027828322014817 ] 
dist 150=[-9.76102997850504315330e-07,1.03904428426466643950e-06] 
dist 151=[-.27372046981272405986,1.4760236427221890167 ] 
dist 152=[-1.47315998556068613770e-06,7.31297832737975317170e-07] 
dist 153=[-.28920884385358635127,.37268942856363421046] 
dist 154=[-1.35436382369116378490e-06,-1.55146396585298243630e-08] 
dist 155=[-.37108724039043334146,.36843304961884296696] 
dist 156=[-9.70666650162472550580e-07,-1.75324316138987456400e-07] 
dist 157=[-.82214168174507093069,.40361237174990834392] 
dist 158=[-2.45176022829258593920e-07,6.26795903209172457820e-07] 
dist 159=[-.84871124772916858384,.40724019982060105279] 
dist 160=[-1.72684999221498615910e-07,8.71044873530213566730e-07] 
dist 161=[-.32809057970142802265,.38974826627326208015] 
dist 162=[3.20363405345895917360e-08,3.11492501598407120460e-07] 
dist 163=[-.99197912208086598666,.38198916372478305774] 
dist 164=[8.69391480694101848810e-08,2.23429950634281729680e-07] 
dist 165=[-.70093081076356461021,.27922201589226422343] 
dist 166=[-1.09134902495349702350e-07,1.48183531026049736210e-07] 
dist 167=[-.93795942509168195217,.2391287129923810539 ] 
dist 168=[-1.69751105725994583640e-07,1.03836743386554665660e-07] 
dist 169=[-.39029588644187382334,.19816411710154204077] 
dist 170=[-1.56448404789065364020e-07,1.40771038485669450420e-08] 
dist 171=[-.46219428428135452272,.58449561269583346396] 
dist 172=[-1.11825206992863163500e-07,0                     ] 
dist 173=[-.09460814117467606189,.71407139407150725882] 
dist 174=[-3.05136253551093998530e-08,9.57502254081675507870e-08] 
dist 175=[-.23199829887066728116,.72405250626656681115] 
dist 176=[-.72341003480381057378,1.30818278527451470810e-07] 
dist 177=[-.21866693483843451769,.20700564281061438323] 
dist 178=[-.72664201842810910497,3.70179553751553838410e-08] 
dist 179=[-.94986295950687843731,.21624666701785746084] 
dist 180=[-.72780062532157781415,2.64436350561740145570e-08] 
dist 181=[-.96095226692389938891,.2624654847623322012 ] 
dist 182=[-.37495121550667802132,1.47876974648464146960e-08] 
dist 183=[-1.0430766151491543503 ,.26328583761485303337] 
dist 184=[-.39221864258448044011,1.10596950283587552740e-08] 
dist 185=[-.20589745232575712167,.21990003357794017263] 
dist 186=[-.42611685913108820041,7.70384187627831138350e-10] 
dist 187=[-.53393600062980865598,.79552924570937364766] 
dist 188=[-.40763098098223853409,-1.23794234657153477940e-09] 
dist 189=[-.19138226281387494176,.91245245235523250568] 
dist 190=[-2.10346306266975853430e-09,9.47840755223558048470e-09] 
dist 191=[-.24203388836217767206,.91296617741272851202] 
dist 192=[-.03209533137242004129,.46576127276773794813] 
dist 193=[-.16065559846847251532,.17746040396041927946] 
dist 194=[-.08564761898079099136,.50066106727763792488] 
dist 195=[-.20057272352740668731,.03189085687339129944] 
dist 196=[-.10425637077592367912,.5461161146737612447 ] 
dist 197=[-.15258857449207949982,.17605068804281153716] 
dist 198=[-2.06950069030863648540e-09,.38291801126404771899] 
dist 199=[-.16041242122924085274,1.79893729005705434150e-09] 
dist 200=[-.23034515574110808294,.54625939891859037575] 
dist 201=[-.12122144305894267846,.17212565513884772094] 
dist 202=[-.34674869727833138684,.49817285311749777221] 
dist 203=[-.13722817177181136958,.02100885667083721838] 
dist 204=[-.42709335320652527311,.48145156674800746649] 
dist 205=[-.1185340976947301765 ,.02661148401539036266] 
dist 206=[-1.28590691512690748430e-09,2.15287911086014250690e-09] 
dist 207=[-.15270262074031019554,.09448295069906820097] 
dist 208=[-.37727794754683535233,2.61375377307497713770e-09] 
dist 209=[-.24828519603192228443,.16203477002302728196] 
dist 210=[-.46140257272438112455,3.87347696791222234380e-10] 
dist 211=[-.45608947131385465649,.48216531843348284417] 
dist 212=[-.48216428127074182789,4.82162594080205018480e-10] 
dist 213=[-.51952833237882021721,.46305869160559819788] 
dist 214=[-.51525015882318502451,1.82688521341443912220e-09] 
dist 215=[-.56815157822640851872,.45508872737940961696] 
dist 216=[-.48866989313050918269,2.23302153292481007060e-09] 
dist 217=[-.37998396082306535106,.21886987334269571267] 
dist 218=[-.57148521937718125349,2.07424589146909703540e-09] 
dist 219=[-.51756965587184183265,.50829885820827510637] 
dist 220=[-.56405687802535538344,1.59297962918542896090e-09] 
dist 221=[-.22922596963120760701,.4793660657241184829 ] 
dist 222=[-1.15517185311459513010e-09,1.47796840841005586450e-09] 
dist 223=[-.28172672367623558956,.49026205254909966769] 
dist 224=[-1.60016259135768701700e-09,.19768910595644639914] 
dist 225=[-.10267724564543504669,.16990502938526379085] 
dist 226=[-1.48564738147403168180e-09,.34973180826991041432] 
dist 227=[-.32302770148055848569,.50215469405795074504] 
dist 228=[-1.20821365685508904110e-09,.38173501633231517924] 
dist 229=[-.32841604810950340396,.50005590537356361932] 
dist 230=[-.07640553730651822319,.48681276958787297942] 
dist 231=[-.34013128924339445622,.48885765718593526499] 
dist 232=[-.04251999654916326025,.5179941491238358819 ] 
dist 233=[-.20710503843825147283,.17827033248763978397] 
dist 234=[-.02686089276848973388,.55072500650990023183] 
dist 235=[-.3485426834700939984 ,.54351671679580963695] 
dist 236=[-.02877448703114963850,.50600841175192793551] 
dist 237=[-.38143429174041898146,7.30294451746354029020e-10] 
dist 238=[-1.07854345125491709620e-09,1.10948964702040290400e-09] 
dist 239=[-.40744610059563378679,1.27694908335680940490e-09] 
dist 240=[-7.68886733527380857180e-10,.25747775076144901549] 
dist 241=[-.16614029860953286148,.03477487325697864136] 
dist 242=[-5.28529895141740283280e-10,.25956141449254674818] 
dist 243=[-2.86494039002065975090e-10,.08920244118055305028] 
dist 244=[-6.17775831839484211310e-10,.24686741010108065546] 
dist 245=[-.11032320374259677709,.12895858050877951752] 
dist 246=[-1.26520245440818385650e-09,.09406458553826011125] 
dist 247=[-1.54083265683383304290e-09,.13684765796984710757] 
dist 248=[-1.61235913559633846040e-09,.05343292631975295120] 
dist 249=[-.05153616124344203179,.14994731438929751226] 
dist 250=[-1.49658539145840684070e-09,.09288861225242423937] 
dist 251=[-1.24760088054862458940e-09,.24940498797923891277] 
dist 252=[-1.16707132751103039020e-09,.09910090151768586299] 
dist 253=[-1.03163451580331370910e-09,.24653929602896854988] 
dist 254=[-1.17429272651310547230e-09,1.56228887171810767710e-09] 
dist 255=[-1.26849810748836678490e-09,.26352012620613479877] 

8 phat 5 dirichlet min maxes function [1, 1, 0, 2, 1, 1, 2] 
dist 0=[300.31138240215325697   ,300.31138240215325697   ] 
dist 1=[262.36322282968685806   ,295.50216167103923140   ] 
dist 2=[259.81237588781763788   ,302.23840180675004023   ] 
dist 3=[211.27673524732688522   ,279.79377893580110728   ] 
dist 4=[196.72848244068995399   ,277.08887798106266349   ] 
dist 5=[118.75757355566445691   ,211.38778346103564954   ] 
dist 6=[106.05389510273980456   ,200.52282718802121673   ] 
dist 7=[48.082568819584977887  ,147.53162532204411519   ] 
dist 8=[28.267227053273498078  ,90.555725219724055142  ] 
dist 9=[-25.098668637310102311  ,36.424709489062380067  ] 
dist 10=[-42.752689178658267210  ,33.980876934412142199  ] 
dist 11=[-56.297421946868915002  ,18.292863662484818581  ] 
dist 12=[-56.779892773749386925  ,5.5904910677871142007 ] 
dist 13=[-54.855856742240617261  ,.32676448447392015863] 
dist 14=[-56.779481010494952491  ,6.9257258850389300109 ] 
dist 15=[-47.462095438932310967  ,21.866792817660651968  ] 
dist 16=[-42.575560531793842354  ,35.358176681293024268  ] 
dist 17=[-18.450651988062610124  ,12.646785701007553333  ] 
dist 18=[1.3979586602727419427 ,46.639215330211521541  ] 
dist 19=[-4.0053585336200880502 ,29.629578210169130878  ] 
dist 20=[10.422058805515170162  ,40.583722311816546795  ] 
dist 21=[7.4683683842170784028 ,24.808314075894861859  ] 
dist 22=[-21.053931554497711051  ,29.518177081374965280  ] 
dist 23=[-16.995970424149859888  ,20.570990334891055354  ] 
dist 24=[-26.240247572336386574  ,21.707854648812849945  ] 
dist 25=[-19.102825429410325432  ,13.824326365887334315  ] 
dist 26=[-27.911716692206708677  ,17.596567068274284317  ] 
dist 27=[-19.006956698636443273  ,22.595165237605588191  ] 
dist 28=[-18.710580060819358207  ,26.320841907944928013  ] 
dist 29=[-10.767763763096117116  ,13.947420797509078308  ] 
dist 30=[-18.739860963404621879  ,13.080040396371837297  ] 
dist 31=[-33.567874135850601642  ,11.693637661613548869  ] 
dist 32=[-34.745237983568629621  ,9.4939654413081080342 ] 
dist 33=[-24.927242829024591636  ,45.981138478624690906  ] 
dist 34=[-20.408879348314747799  ,40.225903351460691079  ] 
dist 35=[-29.549894437037461434  ,63.528101934261050880  ] 
dist 36=[-30.447808908542981819  ,41.226767861243362660  ] 
dist 37=[-.14585405476241604856,3.0689889685036951129 ] 
dist 38=[-1.7779665294389545485 ,23.567442413161913342  ] 
dist 39=[-2.8817558562519405462 ,27.376848371432429144  ] 
dist 40=[-3.3406805975111157833 ,28.937089864474241338  ] 
dist 41=[-3.4370872992959852059 ,7.2907937829891391985 ] 
dist 42=[-22.481836568317688202  ,10.792555230779261120  ] 
dist 43=[-31.953893111411906712  ,3.6008175500269911506 ] 
dist 44=[-29.402535348020830007  ,-.11665571046126059252] 
dist 45=[-3.9763631280211489226 ,.96489836423858479789] 
dist 46=[-29.240922143407079313  ,7.2523289190808210330 ] 
dist 47=[-30.680488456592910264  ,3.3298026452305309153 ] 
dist 48=[-29.218657287362074395  ,4.6177726984115632746 ] 
dist 49=[-30.179458833625004475  ,39.544402303104788960  ] 
dist 50=[-29.430617072236715105  ,46.027757654213561872  ] 
dist 51=[-31.120773242907928314  ,63.066134024322587654  ] 
dist 52=[-30.107964672924536259  ,62.421779113520673158  ] 
dist 53=[-4.6009631194392402996 ,6.4588538780752599773 ] 
dist 54=[-.27659134146747704627,.34656329138446039999] 
dist 55=[-4.6993956940758527704 ,6.3748807659888542534 ] 
dist 56=[-.45402436966996910168,.24028021659223362529] 
dist 57=[-6.7561499474391300477 ,5.8565086874925930507 ] 
dist 58=[-.39907602819356408139,-.00173289005698375421] 
dist 59=[-6.7532064315662640315 ,5.8142483453385697059 ] 
dist 60=[-.31709791106198188799,-.06540347569964822596] 
dist 61=[-5.9583179853860666015 ,6.5604792422233899010 ] 
dist 62=[-.08003793890255694950,.19238882888971357179] 
dist 63=[-5.8033001691767165682 ,6.4736498067092825651 ] 
dist 64=[-.05505979077266897580,.2729076072472261481 ] 
dist 65=[-4.6961403816686109604 ,5.6870438845789250547 ] 
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dist 73=[-.44198141441166081255,5.7295182576153647021 ] 
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dist 76=[-.03733142352884149016,.08808372878913324367] 
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dist 78=[-.14190321374768696945,.09719624040617548339] 
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dist 81=[-5.0199491702738935142 ,5.9026538976931637795 ] 
dist 82=[-.80537513247869077257,.06716387452203379304] 
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dist 84=[-1.8190562313044910915 ,.11572339284148886458] 
dist 85=[-6.3041806758937538260 ,7.0051112251630790012 ] 
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dist 88=[-1.6978165850793106040 ,2.0707571953691259731 ] 
dist 89=[-7.5240220401300146593 ,7.0381151203500585366 ] 
dist 90=[-.13774390535407361842,.86204546006132304264] 
dist 91=[-7.9394912639262036834 ,6.4274872754545301786 ] 
dist 92=[-.15317138042452289598,1.4798063704070213342 ] 
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dist 94=[-1.6928658228754410073 ,1.1958092422845411663 ] 
dist 95=[-8.3052455388477570735 ,6.0533707951537180839 ] 
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dist 97=[-4.2934187724040466714 ,3.0129962329421349901 ] 
dist 98=[-.01597900028593464902,.03038003158981297198] 
dist 99=[-4.2195396293105342743 ,3.1417044269065792274 ] 
dist 100=[-.01448132799596865535,3.2483673262669647685 ] 
dist 101=[-3.9524152016501185046 ,2.9445851389996310203 ] 
dist 102=[-.00087379600304508612,3.1859399982437582970 ] 
dist 103=[-3.8531497553880677927 ,3.3251986523611575042 ] 
dist 104=[-.00121332127067554259,2.9809206092880060057 ] 
dist 105=[-2.9634245273569121038 ,2.8237678692202111868 ] 
dist 106=[-.01524277328123366503,3.1826956287802727295 ] 
dist 107=[-2.9170078185688149535 ,3.0248200538851010581 ] 
dist 108=[-.01069632325914447534,.01183277708467618907] 
dist 109=[-2.2243218083553865236 ,.00024921239570487718] 
dist 110=[-.00014631792704692649,.00047068517278740655] 
dist 111=[-2.2181696061651119181 ,.00060951350698262490] 
dist 112=[-.00010063210291381307,.00064552852974845205] 
dist 113=[-2.3985472225095262052 ,1.2712970083641423971 ] 
dist 114=[3.27730751513213475550e-05,.00016491534108354474] 
dist 115=[-2.4397679638003644291 ,2.0515133977792724928 ] 
dist 116=[4.69610693119142228350e-05,.00013081629228090360] 
dist 117=[-1.8968743775426626935 ,2.9220792400876895392 ] 
dist 118=[-7.05286573714546376790e-05,7.47005256002522929900e-05] 
dist 119=[-1.9834109304398406841 ,3.4371468866735243906 ] 
dist 120=[-.00010752009668823852,5.01400067332137866950e-05] 
dist 121=[-2.2105435107479284387 ,4.2219899399038165588 ] 
dist 122=[-9.11247280564872907730e-05,1.41941316193640689880e-06] 
dist 123=[-2.2629309663780440291 ,4.5850546341974786392 ] 
dist 124=[-7.13724186172559802180e-05,-1.31294178186538753640e-05] 
dist 125=[-1.68891224299986750490e-05,4.7895268557932503930 ] 
dist 126=[-1.67378884021218632980e-05,4.57927268432177488010e-05] 
dist 127=[-.08734366822247861693,4.7937825319074971532 ] 
dist 128=[-1.16322349821810743700e-05,6.37968822885335000840e-05] 
dist 129=[-2.2333672261637603283 ,2.0116106255686813303 ] 
dist 130=[2.46307543646358392750e-06,2.07117082925970987760e-05] 
dist 131=[-3.1963938328611207610 ,2.0431335317831258923 ] 
dist 132=[-9.54945069514105995770e-06,1.64961902212812163140e-05] 
dist 133=[-3.9578379107584330031 ,1.9345486959338929602 ] 
dist 134=[-2.30444458305701609420e-05,3.21829762557500318770e-05] 
dist 135=[-4.2468621875570042987 ,2.0601734964746220228 ] 
dist 136=[-2.65360102455067250160e-05,1.19744117902262355100e-05] 
dist 137=[-4.5140364937361068321 ,1.8945180176256771601 ] 
dist 138=[-1.07672601223197409990e-05,-3.83778767967568127300e-07] 
dist 139=[-4.6565914443565315465 ,1.8238682007910946490 ] 
dist 140=[-8.23391413373843057380e-06,7.78826218931535286180e-06] 
dist 141=[-4.6956774961256909752 ,2.6706729676904200117 ] 
dist 142=[-1.63833556766357665030e-05,1.20558805348770381320e-05] 
dist 143=[-4.6306636446355278448 ,2.6569157399960669401 ] 
dist 144=[-6.48477048959310523110e-06,1.47852362147066053670e-05] 
dist 145=[-3.0273597498813917873 ,2.6765814313658572375 ] 
dist 146=[-8.04831954294529449210e-05,8.98812782555070894110e-06] 
dist 147=[-3.0854602247022764851 ,2.6624164545207020129 ] 
dist 148=[-.00018398629149435561,1.45413562099462998480e-05] 
dist 149=[-2.6295682775978633542 ,1.6148757741780973432 ] 
dist 150=[-.00018575905550268966,.00034346676704632256] 
dist 151=[-2.8850288573452032056 ,2.0270720034753066533 ] 
dist 152=[-.00017310635494637371,.00020957941581973194] 
dist 153=[-2.6439283553947422116 ,2.1117708644507990936 ] 
dist 154=[-1.76794254983356125620e-05,8.10886120757653789070e-05] 
dist 155=[-2.6654450703606113784 ,2.2923868673474755188 ] 
dist 156=[-1.94658638324442542780e-05,.00014275240719016704] 
dist 157=[-.91831674304844155915,2.2608473778350483773 ] 
dist 158=[-.00017181561931068866,.00011797518057987532] 
dist 159=[-.90404344325167383331,2.3589495803751661427 ] 
dist 160=[-.00011757022541592149,.00013589044335759938] 
dist 161=[-1.1779370409591998201 ,2.1564992053298941407 ] 
dist 162=[-2.27227901569998541670e-06,4.36554062833069901890e-06] 
dist 163=[-1.2084037071220775569 ,2.1158058488530151584 ] 
dist 164=[-2.03937986737826626280e-06,2.76505341784403860110e-06] 
dist 165=[-1.9007862283611216402 ,2.0294207332882795636 ] 
dist 166=[-1.19030508003886078250e-07,1.14899413687504161560e-06] 
dist 167=[-1.8590312345113014917 ,1.9703821213687964262 ] 
dist 168=[-1.85190165863464875430e-07,1.85929460473028040420e-06] 
dist 169=[-1.7049660889425838951 ,2.3925392559014935049 ] 
dist 170=[-2.19217763598588390300e-06,1.46149029723319291540e-06] 
dist 171=[-1.7636216495931327550 ,2.1049282386497516830 ] 
dist 172=[-1.54041487254897978980e-06,1.65052813005031128580e-06] 
dist 173=[-4.5159317313436416034 ,1.3055314460132326866 ] 
dist 174=[-3.04438348533746807070e-08,1.05019569538454624770e-07] 
dist 175=[-4.6811983022823108468 ,1.1994998900759721936 ] 
dist 176=[-2.15600898892224855080e-08,1.43390871187447367460e-07] 
dist 177=[-4.2785220204441288742 ,.25730005373775280967] 
dist 178=[6.43131005338269396080e-09,3.57115778137988987080e-08] 
dist 179=[-4.1393877456110693005 ,.19452569463350479788] 
dist 180=[7.18468231713684699100e-09,2.80519033564559641990e-08] 
dist 181=[-2.6003980001333933252 ,1.58830028513787760410e-08] 
dist 182=[-1.64086977850715053610e-08,1.57209239943107577070e-08] 
dist 183=[-2.6688224079967124250 ,.14693922574479610361] 
dist 184=[-2.43114216474341160940e-08,1.09486558163915967350e-08] 
dist 185=[-2.8619904293256047299 ,.22044812321295152556] 
dist 186=[-2.03519735273377038800e-08,2.71235274007659608340e-10] 
dist 187=[-3.1294865531663793313 ,.1726344518427365527 ] 
dist 188=[-1.59374132840633713430e-08,8.55334475297938484910e-09] 
dist 189=[-2.8791734283361512976 ,1.1321805335809268545 ] 
dist 190=[-2.49386113157493605780e-08,1.75492982318859381270e-08] 
dist 191=[-2.8415848144201527902 ,1.2613779913869617119 ] 
dist 192=[-9.36661920730981100770e-09,2.01234881033182621710e-08] 
dist 193=[-2.8609884632650158683 ,1.9295326795654830465 ] 
dist 194=[-4.43209923879545645560e-10,1.78334127402133725710e-08] 
dist 195=[-2.4108808252220073044 ,2.1359000793960586707 ] 
dist 196=[-9.84480375664654932490e-10,1.42776631540802278180e-08] 
dist 197=[-4.2889923833328314385 ,3.9714559477467290855 ] 
dist 198=[-2.46185250023581342610e-08,2.09990048902736439400e-08] 
dist 199=[-4.1844087913828867988 ,3.9752622082947509796 ] 
dist 200=[-3.63318465440974799010e-08,1.72002307085135281420e-08] 
dist 201=[-4.7294752078689575347 ,3.6012948929292215054 ] 
dist 202=[-1.77299652305742031750e-08,1.82400334460748242470e-07] 
dist 203=[-4.6212520353097404861 ,3.6656310232144811794 ] 
dist 204=[-1.11222867960685324000e-08,1.92701872133215176510e-07] 
dist 205=[-2.0418089442063386172 ,3.7690661317331738015 ] 
dist 206=[-2.01234294540008714030e-07,9.26333751925636978570e-08] 
dist 207=[-2.0728084324531504748 ,3.6869324191493154586 ] 
dist 208=[-2.06270780104530980540e-07,9.23639426395296747480e-08] 
dist 209=[-1.9916746205266439212 ,4.5208115788262555495 ] 
dist 210=[-1.36681254419431785370e-07,1.63866093940711747950e-06] 
dist 211=[-2.0132379428684622988 ,4.3885758638799468559 ] 
dist 212=[-1.91821821462152250090e-07,1.70232195475970180010e-06] 
dist 213=[-1.9513198574467646642 ,4.3658114004831688112 ] 
dist 214=[-1.39834062638508667510e-06,2.81797324309479451950e-07] 
dist 215=[-1.9656657560723750704 ,4.5468070911827899381 ] 
dist 216=[-20776455646.656057138           ,9.65730351554656802540e-08] 
dist 217=[-2.0267562815716861529 ,4.4502877298790330185 ] 
dist 218=[-3.29096827314750949930e-06,1.64911381335014014710e-06] 
dist 219=[-2.1270664140815573507 ,4.2587507960016190459 ] 
dist 220=[-2.01855229107866450220e-06,1.69089106400765955250e-06] 
dist 221=[-2.1856421055753400506 ,3.6722540163399765054 ] 
dist 222=[-2.42514921218994821670e-06,1.65691766742234422290e-06] 
dist 223=[-2.1740550652184489029 ,3.5937396957214946393 ] 
dist 224=[-3.40902139111365326940e-06,1.77883362196401122620e-06] 
dist 225=[-2.1578353380630002656 ,4.4240007098085926455 ] 
dist 226=[-1.19698318702147473430e-08,8.04579853310224441330e-09] 
dist 227=[-2.1440921773762469732 ,4.3083193189554031100 ] 
dist 228=[-1.67515860629418727090e-08,1.3863160755910031636 ] 
dist 229=[-2.1628359153393917527 ,4.2690110538530321463 ] 
dist 230=[-1.38481148300586316860e-09,1.1621706315448062926 ] 
dist 231=[-2.1657061800143759344 ,4.4500089338875397977 ] 
dist 232=[-.19388155679912937968,.76089806940260679252] 
dist 233=[-2.1318539247865303315 ,4.3700484264599336932 ] 
dist 234=[-1.21611765867525177720e-08,1.7005734440967282058 ] 
dist 235=[-2.1471201149322957347 ,4.1785119094819237859 ] 

8 phat 5 dirichlet min maxes function [0, 0, 0, 0, 2, 0, 0, 2] 
dist 0=[315.43456766045910093   ,315.43456766045910093   ] 
dist 1=[294.46286972365222776   ,323.42011818694181300   ] 
dist 2=[247.60788003533196499   ,320.59186286883629996   ] 
dist 3=[194.48025773310281031   ,314.08024858163839070   ] 
dist 4=[148.69660068395779730   ,269.27390711856614729   ] 
dist 5=[103.24821445370286685   ,229.14910425002985508   ] 
dist 6=[50.564278221030434865  ,211.81198960567130667   ] 
dist 7=[3.6109970546362985154 ,180.66179806200011028   ] 
dist 8=[-25.010015064062271425  ,161.45815451298264387   ] 
dist 9=[-65.046382622811533601  ,38.689393910159933567  ] 
dist 10=[-97.249064136965609800  ,31.827535585262430275  ] 
dist 11=[-119.87008059645775796   ,.16781103436376823933] 
dist 12=[-123.48690589215404418   ,7.7688418737762997434 ] 
dist 13=[-118.72471435590333819   ,21.463593078535008782  ] 
dist 14=[-112.11012053236775008   ,35.239720509047244416  ] 
dist 15=[-14.257802893795455401  ,50.022756725420107363  ] 
dist 16=[11.092856961964470914  ,65.985167863227040927  ] 
dist 17=[8.7023952621977073386 ,77.619056331901164611  ] 
dist 18=[1.4042758269612497433 ,79.220859060969060083  ] 
dist 19=[-6.6697275120637666964 ,68.150207771335244538  ] 
dist 20=[-12.078652801965790460  ,65.985222583851712589  ] 
dist 21=[-16.000664694646125924  ,9.1962711299807002139 ] 
dist 22=[-19.321855081936537890  ,8.0404364370993769161 ] 
dist 23=[-33.713542325725184618  ,4.6546269499977057678 ] 
dist 24=[-40.725387969548816464  ,6.0537170752056081837 ] 
dist 25=[-43.239652436914921660  ,10.106151150980055346  ] 
dist 26=[-42.468402248572465335  ,17.130597799991087439  ] 
dist 27=[-35.889233223022442735  ,24.936968928003109597  ] 
dist 28=[-32.278069350125269244  ,29.586642863737909012  ] 
dist 29=[-7.8101574881577135466 ,33.204049900664466274  ] 
dist 30=[-2.3448906530485062625 ,34.078653028009061975  ] 
dist 31=[1.9193610255082957063 ,34.192620037540547912  ] 
dist 32=[1.7953184975726537446 ,31.480330772553417073  ] 
dist 33=[1.3583397056231486528 ,9.0379172930316038864 ] 
dist 34=[.47367599939533699855,8.9599321450324208450 ] 
dist 35=[-.45111888231130295692,7.1634718345700795470 ] 
dist 36=[-1.0438938294330863003 ,6.8933562805679137924 ] 
dist 37=[-1.4209694842791125379 ,-.22871478433442181363] 
dist 38=[-2.5003309735497282059 ,.11355473825629853578] 
dist 39=[-3.9806377594427604147 ,-.47660391080098424648] 
dist 40=[-4.5719419261427040824 ,-.45460701337088639653] 
dist 41=[-4.6713617789957112391 ,-.3606935855113919936 ] 
dist 42=[-4.7661874313530512268 ,.17779485179785430672] 
dist 43=[-3.7242013658339150069 ,.04601553149999875903] 
dist 44=[-3.5789980757625471138 ,.65546182131117478795] 
dist 45=[-.64941222637341452706,1.3299919205369248957 ] 
dist 46=[-.49410052749708281959,2.6156898312536055780 ] 
dist 47=[.17078289851207974775,3.4243159530884323740 ] 
dist 48=[-.11222586188612242737,3.6342293075788748698 ] 
dist 49=[.09143057973088708322,1.0923333938679767977 ] 
dist 50=[-.20990583688674982571,1.0699298179698014318 ] 
dist 51=[-.12040359703814652838,.84474705567964440946] 
dist 52=[-.43199924017061758576,.96050751813211929575] 
dist 53=[-.23892819664192197377,.09145519110149894377] 
dist 54=[-.88324279148276224149,.2322248464722309425 ] 
dist 55=[-.58425042411378036799,.0474643212645653361 ] 
dist 56=[-1.2176702356200616389 ,.09349232536698348023] 
dist 57=[-.64083154089656849787,.09919511946714714644] 
dist 58=[-.93956052051367648501,.22165027753906544026] 
dist 59=[-.76356663948225925546,.2825843441673085508 ] 
dist 60=[-.91084903628565155082,.35827920289226709641] 
dist 61=[-.20792658782898606173,.37031519327128956519] 
dist 62=[-.43831161936599157325,.59637392589465768217] 
dist 63=[-.02636831427491318614,.38401528021372857513] 
dist 64=[-.28075635090809108494,.71592543367453755497] 
dist 65=[.02240873411308182817,.14049594992181541378] 
dist 66=[-.48958682095479426705,.1369795234137288068 ] 
dist 67=[-.01042629710684812092,.10497554771249494172] 
dist 68=[-.4442064193096734808 ,.47290097996147079002] 
dist 69=[-.02739750449140398241,-.00665293597695036981] 
dist 70=[-.43555883447271489079,.34397220521722847318] 
dist 71=[-.06504932386465560972,-.00883562636523804286] 
dist 72=[-.07205534395702873448,.3428652070734721569 ] 
dist 73=[-.07157326464454429174,-.00600566509860851665] 
dist 74=[-.06896926480458333643,.4386658409858460384 ] 
dist 75=[-.05533945160081805952,.00077170244650783294] 
dist 76=[-.06048481967564507813,.49842031896405190193] 
dist 77=[-.00827582634137877238,.02139341944579526630] 
dist 78=[-.20107777487462524597,.52990880810920348546] 
dist 79=[.00408118624002876844,.05303797976504530572] 
dist 80=[-.34449769270091945407,.61747543589605760739] 
dist 81=[.00249157063535254439,.01661645455387723290] 
dist 82=[-.22174531222042299574,.55984470382812414754] 
dist 83=[-.00101447053582755528,.01237389444452756671] 
dist 84=[-.85272692408167635274,.54460265280229351176] 
dist 85=[-.00284737592512618229,-.00076016432076219839] 
dist 86=[-.98441525553396532912,.5200096222817727227 ] 
dist 87=[-.00862871212591346768,-.00117609374002609215] 
dist 88=[-1.0163419545726958128 ,.47922353210833334538] 
dist 89=[-.00921475496149125525,-.00079186900441397031] 
dist 90=[-.99924576910670348821,.46011306422262785958] 
dist 91=[-.00679711399874585933,7.65179848143148928790e-05] 
dist 92=[-1.0063879094219495458 ,.46154409650348649161] 
dist 93=[-.00057911221226931534,.00199834295674537709] 
dist 94=[-.96047395818293128724,.46178134643863244527] 
dist 95=[.00059480087477950225,.00526032119348958403] 
dist 96=[-.93332136891015469376,.43876714214022042289] 
dist 97=[.00034548558421935424,.00211768275431968075] 
dist 98=[-.86856644322979048185,.06243352325355601859] 
dist 99=[-.00018018842812045930,.00154784471584880283] 
dist 100=[-.91044403726405939974,.41098253042070829775] 
dist 101=[-.00044916875840493655,-.00011385943190600944] 
dist 102=[-.89747540893098447637,.41450098616952880783] 
dist 103=[-.00100101730824722371,-.00013739005706189518] 
dist 104=[-.00109408930762111532,.57339911736569909187] 
dist 105=[-.00107492648400178212,-8.50821322929809937100e-05] 
dist 106=[-.47489956492553881649,.80422411789973538082] 
dist 107=[-.00082044281002943499,2.75596535432890930900e-05] 
dist 108=[-.58271143846009077022,.88340457080724769318] 
dist 109=[-.00011488202177898716,.00032694136865791748] 
dist 110=[-.57482255442330767997,.96177239362001964402] 
dist 111=[4.70517247201249623180e-05,.00079778758378454779] 
dist 112=[-.42800448465037251769,.99598815469435882629] 
dist 113=[2.13670413988887257290e-05,.00025124541481884387] 
dist 114=[-.36199735429572114289,.95417038539025403412] 
dist 115=[-3.25058286663177647350e-05,.00018275906312357141] 
dist 116=[-.83258811640517732691,1.0348119375675117832 ] 
dist 117=[-6.02865772201538037860e-05,1.57331383419426118890e-05] 
dist 118=[-.90803416938047813295,.9944531483432520666 ] 
dist 119=[-.00013940164798038237,.48450101450340774165] 
dist 120=[-.96932850565401463677,.97418668746415127187] 
dist 121=[-.00014627280327152729,.49944106261769224462] 
dist 122=[-.88823570181300358202,.73499309194635791054] 
dist 123=[-.00010739345231499717,.47377488452595002901] 
dist 124=[-.87260116641149167628,.670134178900708022  ] 
dist 125=[-7.14517607468635712240e-06,.38342674102938690738] 
dist 126=[-.89903702749175550523,.58762046044576553135] 
dist 127=[9.27803719620220073380e-06,.12805573234150995819] 
dist 128=[-.91526965955871064023,.52729073900793772284] 
dist 129=[5.29376778245121860710e-06,3.18176478538169854950e-05] 
dist 130=[1.23048457744840046350e-06,.22370874134960530289] 
dist 131=[-2.84886491449286396010e-06,2.30031465388401858710e-05] 
dist 132=[-1.7465434715627073252 ,.4367974469814214385 ] 
dist 133=[-6.99694895871762667160e-06,-1.87924418327031018760e-06] 
dist 134=[-1.7632971878862620788 ,.5775790026914785969 ] 
dist 135=[-1.51421274142651282340e-05,-2.17302838234424594160e-06] 
dist 136=[-1.7366301549444909253 ,-1.87533307668247724800e-06] 
dist 137=[-1.60750008729478695280e-05,-1.37375740911349670350e-06] 
dist 138=[-.96960625474891605271,.34888247334510917109] 
dist 139=[-1.21994000909998670830e-05,2.82430194513390383050e-07] 
dist 140=[-.91661735417763159483,.26387274816273366532] 
dist 141=[-1.64185411285144847390e-06,4.94820493154249335830e-06] 
dist 142=[-.96957661524723086377,.43301814242953230414] 
dist 143=[9.81543256205580174430e-07,1.19953156277363657470e-05] 
dist 144=[-.95216016940130024821,1.26993475069974722000e-05] 
dist 145=[5.70807939373208414100e-07,3.70824375653228857990e-06] 
dist 146=[-.24839505268828215565,.22884787061236167525] 
dist 147=[-2.64918837826048812910e-07,2.69938563622118109670e-06] 
dist 148=[-.56684691047541677845,1.3177584384699775814 ] 
dist 149=[-5.5246207355466274477 ,-2.32157585128031213580e-07] 
dist 150=[-.53311258703819782598,1.3868176840382658071 ] 
dist 151=[-1.95543837221422341370e-06,-2.77407352875207099390e-07] 
dist 152=[-.15119264810016959649,1.5197460356424863369 ] 
dist 153=[-2.04571081416410287460e-06,-1.77864063715389233790e-07] 
dist 154=[-.27837267931286092836,.78645741261431899474] 
dist 155=[-1.49353835242590345490e-06,2.63875158603575432200e-08] 
dist 156=[-.49147969260046501509,1.5099050042702431079 ] 
dist 157=[-1.11102797732929311680e-07,4.58421533244259954120e-07] 
dist 158=[-.81659660813535835216,1.3041998624613619486 ] 
dist 159=[1.38590964423516071820e-07,1.17695074030176618460e-06] 
dist 160=[-1.0080999781225361035 ,1.2724544524306309594 ] 
dist 161=[7.85124062404444790690e-08,4.66555157061582324700e-07] 
dist 162=[-.45190679211069987948,.56559172673766721047] 
dist 163=[-4.24449208535139867840e-08,3.35531820115370818860e-07] 
dist 164=[-1.0117343011864039035 ,.60029511595513888984] 
dist 165=[-1.03932877861551414230e-07,-2.93541859122508081650e-08] 
dist 166=[-1.2595916398963098153 ,.62596643036241413518] 
dist 167=[-2.24118363230427279800e-07,-3.31656295105364429730e-08] 
dist 168=[-1.3096160897893651810 ,-2.84935276769058198180e-08] 
dist 169=[-2.36351822045978804690e-07,-2.08055815348779536280e-08] 
dist 170=[-1.3323917348276282794 ,.51880291075935186654] 
dist 171=[-1.78523068468858995010e-07,5.04086284995892440990e-09] 
dist 172=[-1.3249403265051600284 ,.76543619299730893819] 
dist 173=[-2.33424082913009289480e-08,7.24658998361298471520e-08] 
dist 174=[-1.3868842805470151148 ,.79654254680872297918] 
dist 175=[1.50315737826912218700e-08,1.75019091708706356190e-07] 
dist 176=[-1.3723357321306288338 ,.58713212237838317453] 
dist 177=[8.63150923451449690980e-09,5.60530129638098040900e-08] 
dist 178=[-.43928573200787478815,.74967356118459206065] 
dist 179=[-4.21657349118624905100e-09,4.03725084103567149440e-08] 
dist 180=[-.45397195593438828905,1.0374484912024445530 ] 
dist 181=[-1.07556460271435155040e-08,-3.53238607421498390170e-09] 
dist 182=[-.44702673202090987812,.98202464787431608815] 
dist 183=[-2.90444877219518569310e-08,-4.08993760502262369940e-09] 
dist 184=[-.08295031932886866443,.9525121575372954519 ] 
dist 185=[-3.02425639390741851630e-08,-2.48412875019111574830e-09] 
dist 186=[-.15990158517795213524,1.2812171155471239149 ] 
dist 187=[-2.20032076595585772620e-08,8.51273624817265052350e-10] 
dist 188=[-.28301380430762754536,1.3715774441151920167 ] 
dist 189=[-1.51117670910083311150e-09,6.71967813362936782170e-09] 
dist 190=[-.28252217489185785956,1.4009905003873658575 ] 
dist 191=[1.52552533460259344110e-09,1.72361274281655717650e-08] 
dist 192=[-.44210302568505712229,1.4210920678776855885 ] 
dist 193=[8.20894507124433791520e-11,7.27817987423092591310e-09] 
dist 194=[-.4746318503517461253 ,.12852432220277827922] 
dist 195=[-2.78733447705727720400e-09,5.25403915983837238970e-09] 
dist 196=[-.47803839520082906562,.74418303844684023062] 
dist 197=[-4.24327894037803776370e-09,2.70180104924566101320e-09] 
dist 198=[-.49578183037741526874,.79961561586003181098] 
dist 199=[-3.76415628073559460910e-09,2.63914983184400963760e-09] 
dist 200=[-4.05108389848240072590e-09,.79761345527184522311] 
dist 201=[-3.92146220655471400520e-09,1.98175692939762967820e-09] 
dist 202=[-.44494281452111571769,.85094951786886789632] 
dist 203=[-2.84601393824378505030e-09,9.34236695901373500350e-10] 
dist 204=[-.56119903990167914022,.99723236719234003168] 
dist 205=[-1.96632568996056169810e-09,1.80107593261118892350e-09] 
dist 206=[-.58466480270904547005,1.0045638470457074051 ] 
dist 207=[-2.05598400460382779380e-09,2.34081939298236548090e-09] 
dist 208=[-.50440839118038805906,.80611398938877365634] 
dist 209=[-1.81017394223031035580e-09,2.24905217114093544940e-09] 
dist 210=[-.64704664861818110099,.97315142592293955531] 
dist 211=[-1.39451538098406321890e-09,1.80155183229714722370e-09] 
dist 212=[-.83453351359305131299,.93848871563194031209] 
dist 213=[-1.77214065336239114420e-09,3.01949953529272553400e-09] 
dist 214=[-.8810358622281322188 ,.89151431636830580248] 
dist 215=[-1.81065227981298176710e-09,1.64181638896878781760e-09] 
dist 216=[-.93659829433636273319,.51201548199379666822] 
dist 217=[-1.54034943363744871850e-09,1.20291984652440457150e-09] 
dist 218=[-.58062955158328974334,.79034946950214433678] 
dist 219=[-1.16040437181948684460e-09,4.07488296699286602160e-10] 
dist 220=[-.90740623964457876601,.94402076661580586076] 
dist 221=[-9.97146024163740372400e-10,1.09968700063141332490e-09] 
dist 222=[-.97533499226851389864,.95107903603368557973] 
dist 223=[-1.07395787088901092560e-09,1.68545146990018189810e-09] 
dist 224=[-1.0376259492373298400 ,.80176948541656194922] 
dist 225=[-1.04771742378395932070e-09,9.27466277364703958820e-10] 
dist 226=[-.35093833953496292294,.96819963280016180165] 
dist 227=[-8.56483349152279663580e-10,7.69222856358173045640e-10] 
dist 228=[-.38569669730367309876,.95216651428023444954] 
dist 229=[-1.40002396214737169270e-09,1.35500804031100962710e-09] 
dist 230=[-.39067372113014088739,.90671762007881378021] 
dist 231=[-1.41844108879011107770e-09,1.39171735319608041430e-09] 
dist 232=[-1.35748728830662963320e-09,.78099290731219377087] 
dist 233=[-1.06186740319037072850e-09,1.17416170838899573080e-09] 
dist 234=[-1.0241788149156579950 ,.8282287117051289107 ] 
dist 235=[-1.04019809741937395240e-09,8.47836074096400244920e-10] 
dist 236=[-.93963298436210740813,.89308506501924079045] 
dist 237=[-1.83945947098263660930e-09,1.02341455039561904360e-09] 
dist 238=[-.91992550028015853229,.89763772505099000518] 
dist 239=[-1.88006510258140900130e-09,1.39489815688551325930e-09] 
dist 240=[-.55552811627551345659,.93505903134107491897] 
dist 241=[-1.51881530093700899220e-09,1.39513509508516373280e-09] 
dist 242=[-.91138373458631894884,.56152253388153731196] 
dist 243=[-1.29468525951116556240e-09,1.43986944372543872640e-09] 
dist 244=[-.99934800959517960976,.98056094487486467614] 
dist 245=[-1.49025124818774930330e-09,2.13420981347303808950e-09] 
dist 246=[-1.0117067165779081681 ,.90267787075664467691] 
dist 247=[-.04598249329510136418,1.30887853496280215980e-09] 
dist 248=[-.78179369590055469735,.82805538705891635823] 
dist 249=[-1.26855676527634506560e-09,.78847985287505311137] 
dist 250=[-1.0700599319100305556 ,1.0372255834506573937 ] 
dist 251=[-.0694239314972139626 ,1.0226742676289869222 ] 
dist 252=[-1.1252093295476804743 ,.97974782938547839877] 
dist 253=[-1.25434406557683210900e-09,.79493082219979751003] 
dist 254=[-1.0786861288143422974 ,.54482191294659139991] 
dist 255=[-.13779396159562686325,9.70087226095829007480e-10] 

8 phat 5 dirichlet min maxes function [1, 2, 1, 0, 2, 0, 0, 0, 1] 
dist 0=[390.82526553012764193   ,390.82526553012764193   ] 
dist 1=[376.30366122522891317   ,388.98819911789511279   ] 
dist 2=[341.61061022177183581   ,390.82526553012764193   ] 
dist 3=[275.84222736511809710   ,343.45439783414756668   ] 
dist 4=[204.44945902113886998   ,313.46118651597617226   ] 
dist 5=[147.52423114495967800   ,259.66730274800422899   ] 
dist 6=[56.097563441429843812  ,123.80900589347743542   ] 
dist 7=[-6.6615019839333015756 ,108.35143336413419792   ] 
dist 8=[-53.189803620807294862  ,73.277459365220291229  ] 
dist 9=[-83.898304406556676475  ,-3.6130104987483289809 ] 
dist 10=[-101.72113123621373346   ,-30.012240616340987328  ] 
dist 11=[-104.54548038585180340   ,-12.595865283696463308  ] 
dist 12=[-90.123361233040835659  ,3.8005327064655508327 ] 
dist 13=[-87.898013070732868438  ,24.413647033715980924  ] 
dist 14=[-13.739074691854237419  ,38.428075794168537324  ] 
dist 15=[6.6964156903111589921 ,56.855803173934350932  ] 
dist 16=[13.211923240824223769  ,68.184830147726523677  ] 
dist 17=[36.987166586840669790  ,69.844492228160220771  ] 
dist 18=[35.376972576513809316  ,61.207083548761777038  ] 
dist 19=[25.783411595732536295  ,58.881049286951914083  ] 
dist 20=[-.52608614280778867223,45.869257054992681936  ] 
dist 21=[-19.149917269526576237  ,38.647015943817004207  ] 
dist 22=[-32.285631468761473214  ,11.962267555599564972  ] 
dist 23=[-38.782778657220389001  ,3.0260933148352543516 ] 
dist 24=[-41.169641004833621214  ,-.11897029609571456312] 
dist 25=[-40.387862701741315618  ,-1.8058717163462482760 ] 
dist 26=[-34.306628494039837703  ,-.71444178232678966097] 
dist 27=[-30.640878887657537101  ,7.2714788441185815250 ] 
dist 28=[-13.917150811500367290  ,13.995080019561111505  ] 
dist 29=[-9.2203881571496367790 ,25.063885260504226189  ] 
dist 30=[-.54498149591203066827,32.313596016980012528  ] 
dist 31=[1.2856130348973132684 ,35.656765162552243862  ] 
dist 32=[3.4792708825344572320 ,9.2856691737075686418 ] 
dist 33=[4.9457932842814737302 ,8.2874858282415281339 ] 
dist 34=[2.4397015515832234127 ,9.1876487237328530508 ] 
dist 35=[2.5705289291756248078 ,7.2248880000925723019 ] 
dist 36=[-.18050665670172357462,7.5506870562560460293 ] 
dist 37=[-1.9827209653771409601 ,4.7754003085674856008 ] 
dist 38=[-4.3248769620607597842 ,3.0704334953146585643 ] 
dist 39=[-3.7012179708786467216 ,1.9720399371888732283 ] 
dist 40=[-6.9483386744497664447 ,.52090588598118222582] 
dist 41=[-3.9870352236172498446 ,-1.2128862172237074474 ] 
dist 42=[-3.7556696590809764194 ,-.34718678474278888865] 
dist 43=[-4.4204311027210307439 ,-.45337753299024604188] 
dist 44=[-1.8816671269573107018 ,2.6161450932272204056 ] 
dist 45=[-3.4743727369990649441 ,2.1215298376183024868 ] 
dist 46=[-2.0895260190536572892 ,4.7659504640454909105 ] 
dist 47=[-2.8739353536116459096 ,2.9537131666720542454 ] 
dist 48=[-.38892596249431124003,1.3837648548613047086 ] 
dist 49=[-1.7985810510792811637 ,1.2395206913654788726 ] 
dist 50=[-2.8697937798333735508 ,3.1573240485127697135 ] 
dist 51=[-2.1795322961953617613 ,.77239824437135204148] 
dist 52=[-3.7738117509234174046 ,2.3212373268122294033 ] 
dist 53=[-2.7415133316937557556 ,.56151373833846476503] 
dist 54=[-4.8415169050773978120 ,1.8078486547160597831 ] 
dist 55=[-3.0613044406937667863 ,.07527130670823478010] 
dist 56=[-3.1938166061404441359 ,-.09886672762633905476] 
dist 57=[-.62343907249088149768,2.0676609500706739852 ] 
dist 58=[-4.5058092864199107079 ,2.8603361581179475321 ] 
dist 59=[-.35048965573155147192,2.1056129362296264458 ] 
dist 60=[-6.5445091292285743917 ,5.2890700515994829803 ] 
dist 61=[-.13268729792872729085,2.4400762964136186873 ] 
dist 62=[-6.1056823580392351807 ,6.2353533359267169869 ] 
dist 63=[.02906998758713590949,2.5531607370852156113 ] 
dist 64=[-6.0147038934284293962 ,6.6438187040295023479 ] 
dist 65=[.08342550693870698491,2.0194821699482179266 ] 
dist 66=[-1.8831129574472827801 ,4.7167925329185109583 ] 
dist 67=[.03463487663311814299,2.0679149812619846579 ] 
dist 68=[-6.2754679383662217494 ,6.5914756367954001965 ] 
dist 69=[-.03598884844285416521,2.2132499966626421988 ] 
dist 70=[-5.7829664626627465693 ,6.1551558900479542145 ] 
dist 71=[-.07303341288587333214,2.2382425639382416789 ] 
dist 72=[-5.9215737809580772190 ,5.8714645074995052772 ] 
dist 73=[-1.8412496135832339290 ,-.01608406062965540915] 
dist 74=[-2.1343401594615008687 ,4.2159374790837157780 ] 
dist 75=[-1.8324599843001807996 ,-.00803356127587094415] 
dist 76=[-6.6828709981849070195 ,4.2318066566968189866 ] 
dist 77=[-2.0399322769204294035 ,.03382627603658686958] 
dist 78=[-6.4513601074160294968 ,4.5605087906469603834 ] 
dist 79=[-2.0646824311179211752 ,.04656113306723110705] 
dist 80=[-6.4306996509397949440 ,2.0580832052884807754 ] 
dist 81=[-1.9533437357296973176 ,.22107844267647557351] 
dist 82=[-3.8293169971549444537 ,.01216488558629649877] 
dist 83=[-2.0846562599167098874 ,.35761565845154718743] 
dist 84=[-6.6525911282016627268 ,1.3607704135161663405 ] 
dist 85=[-1.9220003842036474834 ,.64072181485136161751] 
dist 86=[-6.3632676350911920755 ,.00135966534434423922] 
dist 87=[-1.8538749599348087006 ,.62223856765215168798] 
dist 88=[-7.1534749646103112534 ,.62251331593486363865] 
dist 89=[-2.7108123314064417790 ,2.8476726860482968522 ] 
dist 90=[-4.7526581302136310635 ,2.9448904336349368430 ] 
dist 91=[-2.6962252404649195994 ,2.8881940790647786576 ] 
dist 92=[-3.4522581588989203853 ,5.8937729751299180366 ] 
dist 93=[-2.7142786839670672092 ,3.0727984143447217286 ] 
dist 94=[-4.1998305521818080558 ,6.4508976992711226607 ] 
dist 95=[-2.6992216146383461954 ,3.1330125395001081902 ] 
dist 96=[-3.2035945291649074428 ,6.6362862360393974064 ] 
dist 97=[-1.6390749952444230084 ,2.6713798002593188227 ] 
dist 98=[-3.1737235763598933806 ,4.5165515424045059659 ] 
dist 99=[-2.0579548285022720650 ,2.9308182139378162970 ] 
dist 100=[-.59182331872237605893,8.4361616113139329199 ] 
dist 101=[-2.1434587439981424892 ,2.6840781506529986008 ] 
dist 102=[-.17623363184797461073,8.3617224384445231611 ] 
dist 103=[-2.3268230445576425939 ,2.7033112846433165290 ] 
dist 104=[-1.0286232244304583584 ,8.1074103012772139698 ] 
dist 105=[-.91528527161125599246,.93254215754803699753] 
dist 106=[-.00035965762186062258,4.3574535429040947556 ] 
dist 107=[-.87115915074671287401,.91861603001223717174] 
dist 108=[-.00026128170853828808,4.2822898334476900571 ] 
dist 109=[-1.3782081989438741821 ,1.1976466117785359080 ] 
dist 110=[3.39881804702376281970e-05,4.0106223316280999163 ] 
dist 111=[-1.2256694079330882716 ,1.2288021435585973428 ] 
dist 112=[.00014062005845927546,3.9094760215451730551 ] 
dist 113=[-1.7822055639495082409 ,1.9301090463842916595 ] 
dist 114=[.00012867003541760459,2.8388685755239932913 ] 
dist 115=[-1.7545235785504393781 ,1.8873642451804146039 ] 
dist 116=[2.45678971790804085640e-05,2.4700952561263132810 ] 
dist 117=[-2.4283200384719930280 ,1.7310681327515928583 ] 
dist 118=[-8.07751802154692698570e-05,2.1730402917061477941 ] 
dist 119=[-2.1362766902343317190 ,1.7893620705660482307 ] 
dist 120=[-.00013555056685486795,2.0479437187510648420 ] 
dist 121=[-.00014352688515085279,4.5803446055402679083 ] 
dist 122=[-1.2898363938674089014 ,-3.82388307729062134220e-05] 
dist 123=[-4.05320388618793213110e-05,4.7488024063534089459 ] 
dist 124=[-2.0811339149757610411 ,-1.21344635707927895090e-05] 
dist 125=[-2.88001773789991679450e-05,4.3394628820496602394 ] 
dist 126=[-2.9641157899017193978 ,1.44163761759297872840e-05] 
dist 127=[-.18746748405888193004,4.1977881703052223491 ] 
dist 128=[-3.4875148571189230971 ,2.28161380619831819800e-05] 
dist 129=[1.94397970744920558200e-05,2.6260145870186131094 ] 
dist 130=[-4.2826510937970818577 ,2.31835517408930510140e-05] 
dist 131=[-.13202403449729845187,2.7059927306146124624 ] 
dist 132=[-4.6510378702215950755 ,1.69479751465422330320e-05] 
dist 133=[-.2239007186098756414 ,2.7357450180785195960 ] 
dist 134=[-4.8587606517303060803 ,1.28097376957045884260e-06] 
dist 135=[-.09796684711201468722,3.1752278510757949014 ] 
dist 136=[-4.8631766057169766947 ,.08766235722691350065] 
dist 137=[-1.1331551205459139606 ,1.0659574990310579717 ] 
dist 138=[-5.30909684392112693490e-06,2.2669452950564747384 ] 
dist 139=[-1.2658684783175868701 ,.87989761546615514814] 
dist 140=[-3.84307128366687348080e-06,3.2438647979383592872 ] 
dist 141=[-1.9590266763827679499 ,2.9021602911602502691 ] 
dist 142=[-1.00263708773592313490e-06,4.0165088453035340472 ] 
dist 143=[-2.1684224461391690620 ,2.4461740371093439497 ] 
dist 144=[-4.55232722125402719740e-07,4.3096223225790503381 ] 
dist 145=[-4.0272818142076495541 ,4.3515538584023560246 ] 
dist 146=[1.80000243323126245450e-06,4.5804582130326378848 ] 
dist 147=[-4.0308975555801622189 ,4.2455433703350838386 ] 
dist 148=[3.51573496790382815040e-07,4.7249144555728714185 ] 
dist 149=[-3.6522814466148378489 ,4.7976303175248446500 ] 
dist 150=[-2.01801604814501898490e-06,4.7641269768379772283 ] 
dist 151=[-3.7192915476952734861 ,4.6885790938423852862 ] 
dist 152=[-2.59824140720140998390e-06,4.6984535578579556517 ] 
dist 153=[-3.8243389655465615972 ,2.0735174475728132904 ] 
dist 154=[-7.25126275766563449990e-07,1.9645947480967335184 ] 
dist 155=[-3.7408433768991831272 ,2.1050570915816466154 ] 
dist 156=[-7.05303915275051114900e-07,1.1959642516732473206 ] 
dist 157=[-4.5862818091666673112 ,2.0213321704099457976 ] 
dist 158=[-.25629257843877074505,.35122871497168066965] 
dist 159=[-4.4530794152924761907 ,2.0435990695465244625 ] 
dist 160=[-.70340778298467995817,.04726278599813666903] 
dist 161=[-4.4278538372292748863 ,1.9783534265218094750 ] 
dist 162=[-1.6383147245052677065 ,.00011830056331771383] 
dist 163=[-4.6106142350991544615 ,1.9928127334607882801 ] 
dist 164=[-2063462.2880492412948       ,.00018095713847825476] 
dist 165=[-4.5131912172424194181 ,1.9648784128624992527 ] 
dist 166=[-2.2934758370588610388 ,.00013748616054943208] 
dist 167=[-4.3190134690679444170 ,1.9682252944909716783 ] 
dist 168=[-2.3932125445156500573 ,.00017759146613455604] 
dist 169=[-3.7245397718620736258 ,2.1481591366502430602 ] 
dist 170=[-2.1861615154679970283 ,1.34863257744911502920e-05] 
dist 171=[-3.6444675816399080286 ,2.1358333201397668296 ] 
dist 172=[-2.1466211641229827974 ,1.41602243402057086570e-05] 
dist 173=[-4.4868901880264542342 ,2.1901455469561917878 ] 
dist 174=[-2.0586575048012626566 ,1.56456170260652594710e-05] 
dist 175=[-4.3687813640841634123 ,2.1766128893336014697 ] 
dist 176=[-1.9988837678878932322 ,1.61650511344641242360e-05] 
dist 177=[-4.3316665626155313403 ,2.1952085460443639824 ] 
dist 178=[-1.6442785974695164287 ,1.60987994195674087000e-05] 
dist 179=[-4.5152025272072906615 ,2.1974715712506654665 ] 
dist 180=[-1.5134535355164712179 ,1.67687733894539577720e-05] 
dist 181=[-4.4349702942437635737 ,2.1614654305483113211 ] 
dist 182=[-1.3241895828511554774 ,1.39819363327664739700e-05] 
dist 183=[-4.2409162775380388969 ,2.1787203507707644050 ] 
dist 184=[-1.2166494282823128731 ,.42311158340116922716] 
dist 185=[-.00272061989926691253,.25969225939638150049] 
dist 186=[-.26060133986610314061,1.4881078720682003389 ] 
dist 187=[-.00230956522927741643,.2757972587707254529 ] 
dist 188=[-.05955948624764406693,1.9546327031776708261 ] 
dist 189=[-2.46725983365206898570e-05,.34444063843371853725] 
dist 190=[-8.68375749331335384110e-06,2.4294254694937230225 ] 
dist 191=[-.07148195970231966119,.42148304931904332287] 
dist 192=[-.00043315830099785211,2.5334775578974337459 ] 
dist 193=[-.37627579006412321384,.61912499288515537481] 
dist 194=[-.06650247234231812741,2.9053655458576414382 ] 
dist 195=[-.61721911434637862911,.75826590559340561222] 
dist 196=[-.17447007421054338709,2.9918701467196284840 ] 
dist 197=[-.92090847894383537488,.99818757798638347536] 
dist 198=[-.37238201903106645411,2.9224447743574704037 ] 
dist 199=[-1.2457673556160626316 ,.95459485492018715553] 
dist 200=[-.66100117914766207211,2.8841379154390174348 ] 
dist 201=[-1.7446576139447093724 ,1.6798195762674116886 ] 
dist 202=[-1.5638719870693803854 ,3.93871208720833016910e-05] 
dist 203=[-2.0141578004552706719 ,1.8832656591280401042 ] 
dist 204=[-1.8586845495443113987 ,.00058331751170937715] 
dist 205=[-2.1807087903446272709 ,2.0267519890399517724 ] 
dist 206=[-2.1269715579753631525 ,.00208622197037552028] 
dist 207=[-2.2327468695026841703 ,2.0446397119400460059 ] 
dist 208=[-2.3707842997415933887 ,.00324192942620260667] 
dist 209=[-1.9231567612873832232 ,1.9650974489010519338 ] 
dist 210=[-2.7331860055844924373 ,.00306584542468538246] 
dist 211=[-1.8418555590052105981 ,1.8829055781050947200 ] 
dist 212=[-2.8971474697321494963 ,.00307261957295602891] 
dist 213=[-1.3095456332874527438 ,1.7598949290616053087 ] 
dist 214=[-2.9697397421073543021 ,.00308754255712227488] 
dist 215=[-.00615792827186278437,1.6833637845284664793 ] 
dist 216=[-2.9418110480807281355 ,.00315377274807077645] 
dist 217=[-5.62051918333162282570e-06,.82588263821855969877] 
dist 218=[-2.1581732926065921795 ,.54627829824191223372] 
dist 219=[-6.03706210321467831100e-06,.56409724849470309321] 
dist 220=[-1.8839420473968758641 ,1.0181794944958947691 ] 
dist 221=[-1.79345212509930770160e-05,.33501902885176504944] 
dist 222=[-1.5473488606403804157 ,1.5193267756609225806 ] 
dist 223=[-.28398147294806500828,.23870578175902894698] 
dist 224=[-1.4125709065548336259 ,1.6481584535655828296 ] 
dist 225=[-.00015109616041482696,.17193080923321788654] 
dist 226=[-.84397960684341546742,2.0572654759894780571 ] 
dist 227=[-.00034524125579785937,.18449982643841004678] 
dist 228=[-.5972866986865967929 ,2.1587624290460669743 ] 
dist 229=[-.00021154270542228977,.30458271556794781207] 
dist 230=[-.36465927736527470371,2.2178273946850420908 ] 
dist 231=[-6.41468172478131157440e-05,.00017264551244557921] 
dist 232=[-.27576595396203067976,2.2059088601006881632 ] 

8 phat 5 dirichlet min maxes function [1, 0, 1, 2, 0, 2, 0, 2] 
dist 0=[360.07869744614303507   ,360.07869744614303507   ] 
dist 1=[331.10844648396896077   ,370.88413099950916057   ] 
dist 2=[269.87125433735847657   ,367.28774080522041749   ] 
dist 3=[201.96075891861506884   ,349.05244942917471045   ] 
dist 4=[146.61144714810016852   ,285.99104133251102774   ] 
dist 5=[94.824886238716006013  ,224.19632757518199157   ] 
dist 6=[39.762217378108508003  ,209.78235971155354551   ] 
dist 7=[-7.4164407151170100636 ,153.60291687180875035   ] 
dist 8=[-29.845866678206148456  ,128.16409825162913782   ] 
dist 9=[-67.900512758978100803  ,-3.1716875788004281476 ] 
dist 10=[-89.960008845492244459  ,-21.462726404783590143  ] 
dist 11=[-101.12636734436358413   ,-15.310702211999330023  ] 
dist 12=[-100.85035663885280241   ,-3.5936312185317484446 ] 
dist 13=[-84.755015727305941777  ,7.1092174173410386884 ] 
dist 14=[-80.609542447018579293  ,22.595587045196445020  ] 
dist 15=[-7.3614720834853121500 ,39.164056089776938604  ] 
dist 16=[10.029871247804977757  ,55.185401262529927424  ] 
dist 17=[12.588455761552436833  ,66.394724135523000152  ] 
dist 18=[2.8638092943757648040 ,68.131583333352989014  ] 
dist 19=[-7.6545308090030491496 ,59.353085335332364392  ] 
dist 20=[-14.592035674283722180  ,57.566993316085214468  ] 
dist 21=[-19.138378518788147891  ,39.407838647889432690  ] 
dist 22=[-20.545293837797237983  ,35.668687759777235422  ] 
dist 23=[-29.355747638137627052  ,7.4746337647100319238 ] 
dist 24=[-35.708663105698853822  ,3.3676558759298035785 ] 
dist 25=[-38.420268325505457992  ,7.0099768596669361507 ] 
dist 26=[-37.498765825940547696  ,13.983221261466973517  ] 
dist 27=[-31.855509874069503979  ,21.240561334250421130  ] 
dist 28=[-28.611922229245907168  ,25.987119434496747439  ] 
dist 29=[-8.8659836780626585196 ,29.158480034736281936  ] 
dist 30=[-8.4235116742666418617 ,30.370713120055388074  ] 
dist 31=[-.00446388815424436270,30.205756672382111192  ] 
dist 32=[1.3622457943624721151 ,28.083423115551101610  ] 
dist 33=[1.6159439233922941381 ,7.6008384519092452486 ] 
dist 34=[.60521444713838144408,7.5315283473032269901 ] 
dist 35=[-.83118305011511199983,7.1459177669086330904 ] 
dist 36=[-1.3680479817739296859 ,6.0350276446040008720 ] 
dist 37=[-2.3333849611727436173 ,5.4317495775833228232 ] 
dist 38=[-2.0645076474816652153 ,4.3756621654864300853 ] 
dist 39=[-3.4207780603423470859 ,.68913098482335707362] 
dist 40=[-4.2747235482020049316 ,-.07010730004281297050] 
dist 41=[-3.9385412131158846516 ,.03025977717426395665] 
dist 42=[-4.0057327846556897824 ,.02219741335070547074] 
dist 43=[-3.3004976550918009220 ,.77211106486981391063] 
dist 44=[-3.0676650478088674997 ,.78147756759632396174] 
dist 45=[-1.7154467624117190527 ,1.2506959150901484875 ] 
dist 46=[-1.4177823550780430396 ,2.1977679599108563787 ] 
dist 47=[-1.2201286229682398240 ,3.0837347922477965078 ] 
dist 48=[-.23228237233458026879,3.1206170836690739432 ] 
dist 49=[-1.1330293134614554568 ,1.4332533083043779957 ] 
dist 50=[-.22335332163853655633,.88290283396121972793] 
dist 51=[-1.1742213953596783995 ,1.2341827334604073962 ] 
dist 52=[-.29626533930248651252,.9532774630144719823 ] 
dist 53=[-.97824551565585787574,1.1624796894780455918 ] 
dist 54=[-.47958983574386553614,.58024204352824635754] 
dist 55=[-.46757460625280631749,.540021483826540443  ] 
dist 56=[-.76425126484777089714,.42473094941743709519] 
dist 57=[-.53822303880181074778,.55489652744542704155] 
dist 58=[-.98843297891359258678,.17325371905504563721] 
dist 59=[-.38851551457028397111,.60807049176107117452] 
dist 60=[-.73359005132910100544,.46894534637616586842] 
dist 61=[-.12719922167712791629,.6369051021025717725 ] 
dist 62=[-.48321313050047639952,.6426897426361587629 ] 
dist 63=[.00674941410943878090,.48709260926095090446] 
dist 64=[-.42227810657967549369,.72680125807089264899] 
dist 65=[.03526699241572947872,.40750136959143749512] 
dist 66=[-.07962230844729573398,.63470741728447632877] 
dist 67=[-.06981214950880457148,.30989913044513786267] 
dist 68=[-.38788054079253537702,.54330114589565472209] 
dist 69=[-.04602773938286334125,.26371649301264352522] 
dist 70=[-.44462348791501514013,.61906565042822980288] 
dist 71=[-.20817233199929874842,.11844746923572388995] 
dist 72=[-.45991169676084996423,.54411299168403786241] 
dist 73=[-.32326554039579470775,-.00933249680631402646] 
dist 74=[-.63898753281004583504,.55318586297244278155] 
dist 75=[-.44358439319825662717,.01891267381103487153] 
dist 76=[-.62240151558682214712,.00495774591879743323] 
dist 77=[-.51736219041629870841,.30483203701270991593] 
dist 78=[-.61258840336376515805,.04497024401181786036] 
dist 79=[-.63489823467972672977,.43192542203352367913] 
dist 80=[-.62164226687921678988,.04809905273852266441] 
dist 81=[-.69228728194241340274,.01441439746410682412] 
dist 82=[-.36651481197004889439,.15885058064514538433] 
dist 83=[-.73001375571271439567,.18183892912315342749] 
dist 84=[-.42571710541835615458,.40601719355657134647] 
dist 85=[-.73401041985996361278,.04531110822044792093] 
dist 86=[-.4582146176992191829 ,.5130420280131661235 ] 
dist 87=[-.20809486496013511237,.33997830019487014071] 
dist 88=[-.50812346876414293808,.53500520512887787482] 
dist 89=[-.00873601663234443531,.48731535438979406745] 
dist 90=[-.48063246534402532911,.61988885978134966568] 
dist 91=[-.20079305420413282975,.60493587273605373585] 
dist 92=[-.41126886227369218243,.62704269983070930474] 
dist 93=[-.19346274921186386049,.64957125682555520043] 
dist 94=[-.41449596235754214138,.64125009611448324338] 
dist 95=[-.19928488353413571666,.69014139093543219065] 
dist 96=[-.44755002361073003185,.62632676719671920211] 
dist 97=[.00011752592736412676,.71127578939367706008] 
dist 98=[-.40839029790798230164,.49771878588266606251] 
dist 99=[-.00028179205005270359,.7158873093977654353 ] 
dist 100=[-.36139964420819783207,.47852629954844147538] 
dist 101=[-.00081211022314218995,.70590571195161734054] 
dist 102=[-.34589610058969271125,.50804606067448302998] 
dist 103=[-.00163442978331971634,.50416360392431349609] 
dist 104=[-.37016159277635971195,.51343774888363925634] 
dist 105=[-.00169999319766651108,.53084413295235445456] 
dist 106=[-.35143623377649022433,.50217020729075864759] 
dist 107=[-.03721152142167141162,.3369612110232807791 ] 
dist 108=[-.00031284367796947510,8.18040657636489887240e-05] 
dist 109=[-.10507766497181459483,.33603377361291816515] 
dist 110=[-.00022299680936137947,.00012633996804253039] 
dist 111=[-.2451031912596124799 ,.36371966327911830632] 
dist 112=[6.83592872236562411870e-05,.00011995923431272500] 
dist 113=[-.30228615228753966847,.3699699732808323025 ] 
dist 114=[1.60963539008389778060e-05,.00016916642325922670] 
dist 115=[-.3444375045937044136 ,.29116334581487516552] 
dist 116=[-5.17356867676180244930e-05,.00016012616357603261] 
dist 117=[-.35968524125766061627,.3009242741512238687 ] 
dist 118=[-7.26226245769526946130e-05,.00011105408191414648] 
dist 119=[-.32682638786907217849,.33772952621102171439] 
dist 120=[-9.43689777206706216830e-05,3.59285447187211152820e-06] 
dist 121=[-.32268089480944244445,.34477312790584826872] 
dist 122=[-.00013081956432915748,-7.93477760593239154770e-06] 
dist 123=[-.31148933559842446054,2.58106821469990542620e-06] 
dist 124=[-3.59860941449622719520e-05,9.20957642987952905350e-06] 
dist 125=[-.30147447352663747358,1.34378579971670197980e-05] 
dist 126=[-2.58353602741439552260e-05,1.46967768283167673090e-05] 
dist 127=[-.3077001113708134637 ,1.44484222927798270450e-05] 
dist 128=[5.17248103782622622200e-06,1.42073313438634148710e-05] 
dist 129=[-.31174348965640224393,1.98816441826458116790e-05] 
dist 130=[1.84929606196562489580e-06,2.14472649409225960330e-05] 
dist 131=[-.29495716289803346334,.03174721067900149651] 
dist 132=[-8.31099146144393379230e-06,1.96389365648312112890e-05] 
dist 133=[-.31481437767570967481,.06280021524851540280] 
dist 134=[-1.13945527100080054290e-05,1.41310107287252172200e-05] 
dist 135=[-.28778357962699560879,.22370898110130379023] 
dist 136=[-9.14013381103800401610e-06,-7.89694954382904438240e-07] 
dist 137=[-.27701093746740906046,.29436342272941653473] 
dist 138=[-1.27000657976959141070e-05,-8.25429511183053991980e-07] 
dist 139=[-.40573896305223343031,.42885862917047934969] 
dist 140=[-4.52290405899820381870e-06,1.24843685775321165390e-06] 
dist 141=[-.40366922836456946043,.43499497901819784922] 
dist 142=[-3.25017994644250093000e-06,1.90046738293943477770e-06] 
dist 143=[-.4068948302349888972 ,.46300500231663300639] 
dist 144=[9.68760143421689881950e-07,1.81689361466131067970e-06] 
dist 145=[-.40505629871689191567,.47210219018041652839] 
dist 146=[2.31001566518944554180e-07,2.46445956983654738630e-06] 
dist 147=[-.24859846285625112253,.44066731756008099563] 
dist 148=[-8.08503605944727621230e-07,2.26716407033480095490e-06] 
dist 149=[-.31162276219854017503,.44348011749501949001] 
dist 150=[-1.14901957156624995040e-06,1.62333523816392975590e-06] 
dist 151=[-.32272371679840252379,.40566861490969881614] 
dist 152=[-1.38374693204790557810e-06,-3.44782701449011899930e-08] 
dist 153=[-.34993357491236792336,.4063716909132859827 ] 
dist 154=[-1.89238526845598467620e-06,-1.14304931798814544560e-07] 
dist 155=[-.31920104674903358519,.14142968479882766482] 
dist 156=[-5.32941606857825378240e-07,1.40912291994538281090e-07] 
dist 157=[-.35883046198028846363,.13981103486743696318] 
dist 158=[-3.82483421094845970040e-07,2.50778121424257550490e-07] 
dist 159=[-.42642899319792124801,.18263778079657518754] 
dist 160=[7.91462703536264052940e-08,6.08342284996723298820e-07] 
dist 161=[-.45781779906885448462,.18743390614437162009] 
dist 162=[2.47899213845216554470e-08,5.66948201110029814890e-07] 
dist 163=[-.47243509873358459059,.29163377204903063237] 
dist 164=[-5.33679932299887203460e-07,2.92927372755589877950e-07] 
dist 165=[-.46733683822367451742,.28486473934282876001] 
dist 166=[-6.28672456270151885910e-07,2.10042973500973222360e-07] 
dist 167=[-.36596243074263093157,.2615378000702229443 ] 
dist 168=[-1.31029950322004616140e-07,3.55875197958789478140e-06] 
dist 169=[-.32173170874069829026,.26911010616114953037] 
dist 170=[-1.82212448230254158600e-07,3.78106737426287461200e-06] 
dist 171=[-.23309538948872769416,.68712444383765803062] 
dist 172=[-3.18393396603001562300e-06,6.93121489961034848410e-07] 
dist 173=[-.21277177327945216095,.71324120947530357717] 
dist 174=[-3.34810507615354431870e-06,3.81536944990486433880e-08] 
dist 175=[-.12525946730055793526,.65084897207144108712] 
dist 176=[-7.21382604948690831830e-06,3.62871128080347147570e-06] 
dist 177=[-.08759620683365851207,.62900254320035456064] 
dist 178=[-4.42425130308836387790e-06,3.72025605010636193710e-06] 
dist 179=[-.05250152108471006521,.38199385616062452318] 
dist 180=[-5.37054184794949891380e-06,3.62717468002182368800e-06] 
dist 181=[-.04147193725718742651,.40497006232048179665] 
dist 182=[-7.53428169771222914050e-06,3.90288698378809079790e-06] 
dist 183=[-.03390828758032898723,.41217481608383978246] 
dist 184=[-2.04364988752887187600e-08,-1.11017558674728886700e-09] 
dist 185=[-.02385707856439831839,.47746025731920924552] 
dist 186=[-.18850895008744533707,-6.81821455471617898000e-10] 
dist 187=[-.16290802758237090911,.1589151717933543549 ] 
dist 188=[-.16712043607591484244,8.17982687002216260590e-10] 
dist 189=[-.17588512917171417554,.13061462385260610314] 
dist 190=[-.20404066628122908952,.03802386243621440941] 
dist 191=[-.2959075288456026344 ,.43571633884244363344] 
dist 192=[-.2594896903801258143 ,4.32032909994171098970e-09] 
dist 193=[-.32740776199972889511,.36787516080147250798] 
dist 194=[-.29923960919563137344,6.41369152491616444620e-09] 
dist 195=[-.60326667348300673063,.6541892952464092472 ] 
dist 196=[-.30221171015089427769,6.48115165386872953740e-09] 
dist 197=[-.60355469523605706963,.63835521549711360122] 
dist 198=[-.31178862940144928776,.00832636400338232737] 
dist 199=[-.54746719478401247291,.72039187215026873917] 
dist 200=[-4.71557239535690916060e-09,1.82087800332455266650e-09] 
dist 201=[-.55933689792020968297,.70477693853239379906] 
dist 202=[-6.49065481220270624690e-09,.27024356069944932765] 
dist 203=[-.57544364159792953701,.31371956656851170773] 
dist 204=[-3.73101427682723130990e-09,.29891510277137599996] 
dist 205=[-.56272169525321456833,.31855194150778948401] 
dist 206=[-.01280262190731770269,.3001545199453142473 ] 
dist 207=[-.68919547552275909598,.30450588719720944187] 
dist 208=[-3.01168137445719785530e-07,.21215928749546682293] 
dist 209=[-.66966001612686457985,.30825627655086147683] 
dist 210=[-.11703436930842588644,.22935885532613070915] 
dist 211=[-.66393256227466841843,.29593449264030191696] 
dist 212=[-.16726338607587164007,.22489469617291665413] 
dist 213=[-26748499633.178335069           ,.29800919613137736649] 
dist 214=[-.20991898862697614203,.21794142510980670762] 
dist 215=[-.67656075511646793645,.29432037692461022156] 
dist 216=[-1.70338493951714299590e-07,1.59614214747064522350e-07] 
dist 217=[-.64751496552476872591,.2942910188144294833 ] 
dist 218=[-1.68663390867564837660e-07,.17036326608115178807] 
dist 219=[-.55860561730415274897,.32350871552974148963] 
dist 220=[-1.63896104237256271630e-09,.23240201186691243422] 
dist 221=[-.54614028737742049275,.32032413597263729174] 
dist 222=[-1.21033655123389311280e-09,.23491754806563415447] 
dist 223=[-.67283914450164594782,.33012189483143947803] 
dist 224=[-2.78097948505958978490e-08,.2902266600883090979 ] 
dist 225=[-.65431169710168959025,.32851330302361323797] 
dist 226=[-3.89866554436708439810e-08,.29851943241010227363] 
dist 227=[-.65160213874936094595,.35443073018985853741] 
dist 228=[-3.60455119953308762210e-09,.36162247243320998323] 
dist 229=[-.67908887315550833254,.33053940285082548058] 
dist 230=[-5.65109844239667705760e-09,.31919674007798511838] 
dist 231=[-.66795545755387521868,.32358468960515438491] 
dist 232=[-2.70777547227090759330e-08,1.90039157989369995730e-08] 
dist 233=[-.63906859614125131561,.3278302730629892839 ] 

8 phat 5 dirichlet min maxes function [0, 0, 0, 2, 2, 2, 2, 1, 2] 
dist 0=[444.82775816723275406   ,444.82775816723275406   ] 
dist 1=[418.26100615378951133   ,444.68264575439690324   ] 
dist 2=[364.31009725522806806   ,444.82775816723275406   ] 
dist 3=[267.93628005834089614   ,388.04691947394501650   ] 
dist 4=[166.58292654618542907   ,354.60906700779797047   ] 
dist 5=[92.924899025644234714  ,293.57932483460221649   ] 
dist 6=[32.757454448314354067  ,129.05886727166165110   ] 
dist 7=[-17.310728104625957911  ,67.371028519029587492  ] 
dist 8=[-59.133066651480108760  ,54.117336518324118089  ] 
dist 9=[-88.058583942259891588  ,-52.261307081390316924  ] 
dist 10=[-103.09110682396000834   ,-54.550049333054278869  ] 
dist 11=[-103.98160939267920262   ,-25.678237370039347461  ] 
dist 12=[-91.589535606432882662  ,6.4814664376632207035 ] 
dist 13=[-84.106520497167471886  ,27.672536333433222683  ] 
dist 14=[-22.382021236653945061  ,41.217967268258809463  ] 
dist 15=[-10.054339514531634243  ,50.711479650573706567  ] 
dist 16=[6.4094920325178692897 ,69.178786236601660517  ] 
dist 17=[15.643128046284658416  ,73.905646826863140888  ] 
dist 18=[13.993440899244882815  ,25.055166345282919284  ] 
dist 19=[8.5503602919101444428 ,25.260375458338455002  ] 
dist 20=[2.3906373578937816867 ,21.453878519384606635  ] 
dist 21=[-2.0563484882539778312 ,20.640091301683170151  ] 
dist 22=[-5.4173766603842685110 ,2.5532590487045060651 ] 
dist 23=[-9.3062502917966846040 ,-.44291454211311241204] 
dist 24=[-11.666900464230316168  ,-5.0622907365215605345 ] 
dist 25=[-13.253092676158449543  ,-6.1626250946999344879 ] 
dist 26=[-13.591865496793411101  ,-4.5510736764267637609 ] 
dist 27=[-13.316182591977518859  ,-1.3056372743077944376 ] 
dist 28=[-10.555166555795512160  ,2.0929866717122728666 ] 
dist 29=[-9.9310064474125607399 ,4.4212665825735013336 ] 
dist 30=[-3.1709169468059373406 ,6.4531461409171399335 ] 
dist 31=[-1.1106762876007592068 ,8.5575214742441952348 ] 
dist 32=[-.60525199509164277471,9.0207232543900051168 ] 
dist 33=[1.9756556869364182287 ,8.7554313395609051234 ] 
dist 34=[1.9227817328864432234 ,2.8684028348786161545 ] 
dist 35=[.92707572443283410439,2.7388064961052437552 ] 
dist 36=[-.11491713878382556968,1.9220071253955985803 ] 
dist 37=[-.83276078441363381887,1.7718015161645664468 ] 
dist 38=[-1.3649241803507653374 ,-.79070099007393076053] 
dist 39=[-1.9252889131554587924 ,-.90181360189687379253] 
dist 40=[-2.5124436163530147615 ,-1.1388508996998330465 ] 
dist 41=[-2.7841647159717251097 ,-1.0390959312148722651 ] 
dist 42=[-2.8638020833774396868 ,-.80856141919249626739] 
dist 43=[-2.8388961611094425695 ,-.38816823247127245355] 
dist 44=[-2.5153615606221110383 ,.03917935972478186114] 
dist 45=[-2.4330747017454791807 ,.29791593088715577937] 
dist 46=[-1.2109010574912835635 ,.46433571797670166516] 
dist 47=[-1.0039525987969437752 ,.66564413660606814771] 
dist 48=[-.5564953333026317295 ,.89014174935701711284] 
dist 49=[-.48040072569797427033,.94498751667408128516] 
dist 50=[.08284796961998586302,1.1153769757239049971 ] 
dist 51=[.12761286652118175479,1.1787403384866871565 ] 
dist 52=[.11690392249093444002,1.1985236326237926571 ] 
dist 53=[.03073650818457463256,1.1955309707679636024 ] 
dist 54=[-.07373676293907031739,1.0453014102182363830 ] 
dist 55=[-.15927565408448553873,1.0163826495698267548 ] 
dist 56=[-.23617432975442105285,.95304256391986990938] 
dist 57=[-.30988262517029905407,.94176077307722329484] 
dist 58=[-.37269921820640698404,.93578496203013995692] 
dist 59=[-.40865922701026291498,.95758172778633546663] 
dist 60=[-.43332055989672867135,.9960989389210264804 ] 
dist 61=[-.45306801666782834961,1.0601403647095776387 ] 
dist 62=[-.47598964019442578059,1.1244956554438492381 ] 
dist 63=[-.51352170441660131223,1.1645365668660147947 ] 
dist 64=[-.57273056007622430193,1.1936695312172456076 ] 
dist 65=[-.68068350185956932835,1.2012571590276358408 ] 
dist 66=[-.79215729961221210599,.97288797799355386732] 
dist 67=[-.8644964942507527    ,.96259127187898505129] 
dist 68=[-.92110664208328598923,.90673665826984026757] 
dist 69=[-.96921152114338980712,.8916523830731982994 ] 
dist 70=[-1.0054338824838872466 ,.87511060034804579627] 
dist 71=[-1.0148051838897959625 ,.87327260574680743358] 
dist 72=[-1.0769508842389742665 ,.87658963859312293276] 
dist 73=[-1.2605759381787888985 ,.88456548974190446625] 
dist 74=[-1.4302792337789949786 ,.89685996696172764516] 
dist 75=[-1.5281346846960773854 ,.91691585344146332812] 
dist 76=[-1.5909785869651498543 ,.93811875410177756655] 
dist 77=[-1.6218130352353514686 ,.95495266369907444752] 
dist 78=[-1.6363992903312374956 ,.97066905352421643431] 
dist 79=[-1.6346833387970765120 ,.98780732787103873089] 
dist 80=[-1.6231624263578295726 ,1.0029834272471806695 ] 
dist 81=[-1.6140930623929852599 ,1.0111105914060014080 ] 
dist 82=[-1.7578336780826567291 ,1.0157284389370621064 ] 
dist 83=[-1.8921542825000311380 ,1.0170573105903593625 ] 
dist 84=[-2.0030587451179847313 ,1.0167630445716528040 ] 
dist 85=[-2.0630109649450338203 ,1.0149299465843093304 ] 
dist 86=[-2.0966901606632548177 ,1.0119428845477972249 ] 
dist 87=[-2.1041089162646945226 ,1.0076522109355669773 ] 
dist 88=[-2.0986390411542571032 ,1.0169566387030543148 ] 
dist 89=[-2.0908967487271919525 ,1.1910509808697483769 ] 
dist 90=[-2.0791669468786091042 ,1.3540484153603814808 ] 
dist 91=[-2.0698438505219472842 ,1.4477411080177302944 ] 
dist 92=[-2.0357024993486565873 ,1.5062690563996820499 ] 
dist 93=[-2.0219759039622718460 ,1.5299239710562745637 ] 
dist 94=[-1.9858332297794786852 ,1.5358912593203731883 ] 
dist 95=[-1.9701270494078657271 ,1.5277813018004793329 ] 
dist 96=[-.19140479453107329023,1.5032736440755331514 ] 
dist 97=[-.18443711555818685142,1.4871814686122247574 ] 
dist 98=[.33403366482187137306,1.0367911938922339811 ] 
dist 99=[.31648717389162969601,1.0348571178814076091 ] 
dist 100=[.28247485262497739421,1.0315463503842842811 ] 
dist 101=[.22213125890527322435,1.0694465598846431835 ] 
dist 102=[.15237235650817289799,1.2472765637533769096 ] 
dist 103=[.08115610358932898047,1.4694524814604822126 ] 
dist 104=[-.00204947676873337850,1.6813221600694773614 ] 
dist 105=[-.11917918428837989136,1.8180062006024988123 ] 
dist 106=[-.23610431620021508201,1.9257668693858675193 ] 
dist 107=[-.31849928902179994499,2.0221702056301363960 ] 
dist 108=[-.47207606393593448346,2.1037738442305022078 ] 
dist 109=[-.65473650677092204585,2.1524476246593196930 ] 
dist 110=[-.86754901624048255645,2.1862054070667124995 ] 
dist 111=[-1.1770051893047531821 ,2.2082546140969687206 ] 
dist 112=[-1.4814153205692329546 ,2.2200592148593699896 ] 
dist 113=[-1.6740977967009285835 ,2.2195147789837173391 ] 
dist 114=[-1.8217602966854249690 ,2.2006710254393062620 ] 
dist 115=[-1.9465424357656844483 ,2.1920176217612397857 ] 
dist 116=[-2.0471168393334971691 ,2.0889353330715187424 ] 
dist 117=[-2.0981975571488976478 ,2.0609628127189393721 ] 
dist 118=[-2.1257284554339798959 ,2.0293686138664490002 ] 
dist 119=[-2.1322659780109643555 ,2.0130938755833034237 ] 
dist 120=[-2.1042431169117791877 ,1.5753175209799911512 ] 
dist 121=[-2.0910665074652318017 ,1.5133420536812814033 ] 
dist 122=[-1.8923035707026324183 ,1.3857285941317400601 ] 
dist 123=[-1.8711318640210276630 ,1.3498738953963529199 ] 
dist 124=[-1.8631551868502553447 ,1.2069753772395266942 ] 
dist 125=[-1.8941569794895669883 ,1.1761211875630318787 ] 
dist 126=[-1.9119777996404789617 ,1.1063234711684342407 ] 
dist 127=[-1.9164436769562067514 ,1.0844232739296178506 ] 
dist 128=[-1.9120567459546765676 ,2.1781801400831039202 ] 
dist 129=[-1.9075083558692741180 ,-.07998533521328950015] 
dist 130=[-1.8768815868282203990 ,-.24897680492640292872] 
dist 131=[-1.8718498055162239294 ,-.25575833505859711483] 
dist 132=[-1.7517036090236473306 ,-.25003630072016057906] 
dist 133=[-1.7221879769829397065 ,-.2267670055934628733 ] 
dist 134=[-1.7019623684912700959 ,-.19007948977515893943] 
dist 135=[-1.6955079365092932093 ,-.14426711289448123308] 
dist 136=[-1.2384686701452569159 ,-.08855082841402689343] 
dist 137=[-1.1775658800790409973 ,-.00737905611622044750] 
dist 138=[-1.0608454968293860119 ,.07268443170700539415] 
dist 139=[-1.0306866415167616938 ,.12402830555374954339] 
dist 140=[-.92664845864816371481,.16244413964411589457] 
dist 141=[-.90042034671213490002,.19135981071088253298] 
dist 142=[-.87198824347775013563,.21161341394184257664] 
dist 143=[-.86169984177913646046,.21580352041793654411] 
dist 144=[-.12750902631078565835,.50414767525428896105] 
dist 145=[-.17374039777925226299,.72362928028803147265] 
dist 146=[-.22008418716433736909,.91068095412619637455] 
dist 147=[-.27525256825732386047,1.1022170984364538246 ] 
dist 148=[-.31514489352364764646,1.2818392069323001442 ] 
dist 149=[-.3422035684748716246 ,1.4213507874801653074 ] 
dist 150=[-.36062870500836413202,1.5581291481050527334 ] 
dist 151=[-.36642078370247574442,1.7268501109301781628 ] 
dist 152=[-.36444743233482279587,1.8865496982240738773 ] 
dist 153=[-.36088033747068145769,1.9873284888498796518 ] 
dist 154=[-.21414216351810037469,2.0642051647965095461 ] 
dist 155=[-.19246674949518107205,2.1285180233853119312 ] 
dist 156=[-.13564188380343725797,2.1798031434560731301 ] 
dist 157=[-.12477936839280767941,2.2046892192003341008 ] 
dist 158=[-.10884028361356422016,2.2149949163949507055 ] 
dist 159=[-.5068486038941020484 ,2.2135816776842477297 ] 
dist 160=[-.90482050751044063015,.27184469443136198324] 
dist 161=[-1.1631101253344972316 ,.27069783984548355855] 
dist 162=[-1.3684012985042734194 ,.12886561119667891844] 
dist 163=[-1.5548771254575115442 ,.12825453985272092518] 
dist 164=[-1.7148616926786191204 ,.12505732799455457238] 
dist 165=[-1.8199496424320089654 ,.12399744984164115531] 
dist 166=[-1.9007346343953455809 ,.11245995652556621357] 
dist 167=[-1.9680242274356484058 ,.10967557115298756077] 
dist 168=[-2.0238524158186268070 ,.10585220826286610964] 
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dist 188=[-.14965024749379238903,.9638707664487888831 ] 
dist 189=[-.15280833173126747988,.99375976208831463278] 
dist 190=[-.15489876592853783183,1.0105900961131515007 ] 
dist 191=[-.15592449509413302836,1.0144590792687372632 ] 
dist 192=[-.15630225293733190198,1.0102572492660870909 ] 
dist 193=[-.15583678908976183831,1.0072633574505341402 ] 
dist 194=[-.01422820033556346111,.99500526827666649287] 
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dist 216=[-1.3016705619629521137 ,.05287880320373369413] 
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dist 218=[-1.3493078024136347916 ,.06574888386894891318] 
dist 219=[-1.3524429804002110466 ,.11712502489748473285] 
dist 220=[-1.3358801445831978025 ,.1770029413620435487 ] 
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dist 223=[-1.3218446357096140348 ,.45359378147136888448] 
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dist 225=[-.10278272584340315344,.71166792278189432536] 
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dist 227=[-.10847634482062595706,.86696705871120664092] 
dist 228=[-.11735877696121778788,.9305827753859702622 ] 
dist 229=[-.13370207455871405211,1.0134870971566269183 ] 
dist 230=[-.15356604376761421403,1.0929436634316002246 ] 
dist 231=[-.17649631388259682154,1.1786539185223173488 ] 
dist 232=[-.2060394269299783236 ,1.2557206733848511464 ] 
dist 233=[-.25229037153029398077,1.3006838520733704644 ] 
dist 234=[-.30088372256087743372,1.3307222474678345240 ] 
dist 235=[-.3397757870444035457 ,1.3482273179226027080 ] 
dist 236=[-.37897899051523346602,1.3577359284836087605 ] 
dist 237=[-.42881994278134157062,1.3578552520629216717 ] 
dist 238=[-.48165462241715808546,1.3499099605491614240 ] 
dist 239=[-.53280895693674974076,1.3431429821791409903 ] 
dist 240=[-.59251446530427084401,.94376645424126257638] 
dist 241=[-.67947958327416314327,.90840836088278278371] 
dist 242=[-.76481125272118992302,.8179497221645076175 ] 
dist 243=[-.81799827384715080671,.80327247423770059435] 
dist 244=[-.85781016636920044709,.65311701368674347556] 
dist 245=[-.88976078316731831359,.62346615080276322718] 
dist 246=[-.91419570859389879701,.58806929737311871352] 
dist 247=[-.92401098887761552322,.57704275597811440642] 
dist 248=[-.9275902837211602932 ,.29048694392541521334] 
dist 249=[-.92714068743111636019,.25398560101055758397] 
dist 250=[-.90494262940824275797,.17650792294525607199] 
dist 251=[-.92149514936058168755,.15640255696120863634] 
dist 252=[-.9329377053715517061 ,.07672525105468117728] 
dist 253=[-.93505806777556470742,.06157737646941836097] 
dist 254=[-.93319205533084018765,.03049626664214730347] 

8 phat 5 dirichlet min maxes function [2, 1, 2, 0, 0, 0, 1, 0, 2] 
dist 0=[374.18049472270397491   ,374.18049472270397491   ] 
dist 1=[356.65655373715030109   ,386.10736204517935556   ] 
dist 2=[301.47724845600085491   ,393.09559466327655967   ] 
dist 3=[234.94664085239497076   ,386.74565940703079929   ] 
dist 4=[180.32219624654742532   ,305.96790126061919741   ] 
dist 5=[129.06044122940825882   ,285.15015837135655988   ] 
dist 6=[74.464813989732156660  ,206.50727313865631552   ] 
dist 7=[25.405366335227521622  ,194.94249044926788320   ] 
dist 8=[-23.911539469827876333  ,13.084050789890339358  ] 
dist 9=[-45.291429559682194326  ,-5.6125423315814650167 ] 
dist 10=[-74.990995018266455765  ,-2.8246241166178051857 ] 
dist 11=[-88.612303809453168989  ,3.7364324267498109590 ] 
dist 12=[-91.275429817814742254  ,8.6309430250898726640 ] 
dist 13=[-88.949725583978078999  ,11.223343268887491810  ] 
dist 14=[-72.990719760898813013  ,11.363979990700347391  ] 
dist 15=[-66.062309747099277453  ,14.169036060365237879  ] 
dist 16=[-13.554809066812204269  ,21.933686059225786323  ] 
dist 17=[-3.5387680577275815983 ,45.463580460989987842  ] 
dist 18=[-2.5674581611569707904 ,60.576680180622443661  ] 
dist 19=[2.1111100546150350770 ,64.499326546755056471  ] 
dist 20=[2.8093966213951114512 ,20.107774485670555053  ] 
dist 21=[-3.1238870254394820967 ,19.749109874752372707  ] 
dist 22=[-8.1573460720040278149 ,15.651882441676404011  ] 
dist 23=[-11.323034294122409671  ,14.852207046344752663  ] 
dist 24=[-13.087351514144662307  ,3.6868718586479321417 ] 
dist 25=[-13.203903158266088784  ,2.3375246249810176408 ] 
dist 26=[-11.711323844238989338  ,1.8524301141198524184 ] 
dist 27=[-10.697855235884694051  ,1.9280239531304652343 ] 
dist 28=[-10.610972560661748945  ,3.4930444282213744065 ] 
dist 29=[-10.262530268719708674  ,7.2791336515470711568 ] 
dist 30=[-7.9515614823938934869 ,9.6537697994990488860 ] 
dist 31=[-7.4211805910027295408 ,10.214639054836701095  ] 
dist 32=[-.86223195614674149443,3.3803359410999936302 ] 
dist 33=[.10487974568747384233,4.3916684545454404164 ] 
dist 34=[.14196990744778195094,6.0641340037603819955 ] 
dist 35=[.03497733722470694052,6.2626669599749259171 ] 
dist 36=[.05230676832566952073,2.8030438821946555021 ] 
dist 37=[-.72667092078305865927,2.3680543568129424771 ] 
dist 38=[-1.2940547272574864680 ,2.1631078565931572825 ] 
dist 39=[-1.5725920973280100216 ,1.7404121534688373473 ] 
dist 40=[-1.6745530702408435715 ,.25928090882556363696] 
dist 41=[-1.6480571311127480878 ,-.00822929282544733122] 
dist 42=[-1.3922799734529315412 ,-.00245827029149769329] 
dist 43=[-1.2606957256476831033 ,.11754951577550417463] 
dist 44=[-1.2123099534738206787 ,.61163002420051154128] 
dist 45=[-1.2068164825100019326 ,.92082200642269978662] 
dist 46=[-.98044840121879066169,1.3698573039438612815 ] 
dist 47=[-.92801392682755526135,1.2959140492016114641 ] 
dist 48=[-.24507143219705171227,.46357885929103843165] 
dist 49=[-.08223044067736137473,.68333224983033376584] 
dist 50=[-.03438989558458740858,.93246865678789709746] 
dist 51=[-.08827618986807509364,.94263594729883845223] 
dist 52=[-.1724719875122111575 ,.58282385429537423523] 
dist 53=[-.14717502555882055398,.27530763235404572626] 
dist 54=[-.33653183042306894561,.4538990968054126644 ] 
dist 55=[-.22533981769298234901,.25102475200238485271] 
dist 56=[-.45768516757104714883,.36173814272680062619] 
dist 57=[-.22242098872823554319,.20292509586838020892] 
dist 58=[-.39332934700944735191,.31251957825076392124] 
dist 59=[-.16286578689709171898,.16209350364743553588] 
dist 60=[-.50106817536014287504,.3284949476718618753 ] 
dist 61=[-.14849944489401674895,.15847288523966470039] 
dist 62=[-.51090868506360987098,.42172511432174145449] 
dist 63=[-.10565785531011059746,.13710181834437840771] 
dist 64=[-.43059544977853775509,.21262702751401044335] 
dist 65=[-.07303147083092564808,.16425354895040127235] 
dist 66=[-.34727950121912442307,.26110830904800648643] 
dist 67=[-.00215224274465731730,.42341163414586953301] 
dist 68=[-.3440830459342137936 ,.13483703289802523662] 
dist 69=[-.01755142965888727692,.34271002338967482366] 
dist 70=[-.38336894359921156203,.12123060500017369563] 
dist 71=[-.04334988827853822621,.02457284823750762739] 
dist 72=[-.48144570149547133262,.24313662371195687106] 
dist 73=[-.29689999772422727046,.18019345122238428908] 
dist 74=[-.56995311466708943786,.27604854171160311217] 
dist 75=[-.1639089163920350801 ,.32676319988307672933] 
dist 76=[-.28696028646712585157,.43482897299043510392] 
dist 77=[-.44146862874573254754,.45043726378837420068] 
dist 78=[-.50502557828092818381,.67556348643546628315] 
dist 79=[-11.325323837952093492  ,.11384359027488865247] 
dist 80=[-.21478124920327703702,.54124267767732487634] 
dist 81=[-.68056554962246870068,.01016909907739136560] 
dist 82=[-.31007051252697401597,.49109493790174693169] 
dist 83=[-.60404328607150519976,.1312223257484053193 ] 
dist 84=[-.37105960903623486052,.15069109037257328976] 
dist 85=[-.7120127258065692933 ,.00407279572491740578] 
dist 86=[-.33635543114972888412,.15318585862728676381] 
dist 87=[-.14217123418272295451,.12479026967550443745] 
dist 88=[-.35788341162349217745,.14788635743054241483] 
dist 89=[-.15228348119810952992,.25195313022653037473] 
dist 90=[-.57941765904121377168,.3370195002322413169 ] 
dist 91=[-.00275646338331863782,.43856248886394747015] 
dist 92=[-.68437915992938611416,.57593421112708592924] 
dist 93=[-.00221129228453551403,.46094320050168458849] 
dist 94=[-.67226373594422406482,.58226961568430102346] 
dist 95=[-.04198120501819111812,.05451539574817889262] 
dist 96=[-.46199571446113010439,.41667200645848089813] 
dist 97=[9.49151882859771313590e-05,.50367353157074329297] 
dist 98=[-.46950773483763186506,.43832714516879593598] 
dist 99=[-5.03183463882379010110e-05,.38368010079456888569] 
dist 100=[-.00019339650391654709,.52192375709436282899] 
dist 101=[-.00028540460253611669,.49333483825877416454] 
dist 102=[-.00031438023311729015,.47598688217029055476] 
dist 103=[-.05250884957741938618,.08453471828376353845] 
dist 104=[-.00029916441132211118,.32347468123902549925] 
dist 105=[-.32765802952309357691,.27000290396607531876] 
dist 106=[-.00025099853553054198,.2561019333323832182 ] 
dist 107=[-.38253144988698887148,.11662070483837688568] 
dist 108=[-.19670101437646357652,.00017723008591805350] 
dist 109=[-.39105531417801774576,.17429441453586135062] 
dist 110=[-.37195255834202259897,.00024360661584669586] 
dist 111=[-.16386485222029832495,.17449810252447823833] 
dist 112=[-.53847187021660903701,8.24445195296602981790e-05] 
dist 113=[-.16755586164374876515,.5036839420685398266 ] 
dist 114=[-.5611039702128786122 ,.00019924065982031290] 
dist 115=[-.20410817792187493832,.5025285975971629118 ] 
dist 116=[-2.71298042828073326050e-05,.41438330751712454878] 
dist 117=[-.20923700000597067727,.54391829446941931259] 
dist 118=[-4.15637370451455757270e-05,.60004050148675041208] 
dist 119=[-.17411225734079139261,.16416516188500051688] 
dist 120=[-3.91529696122699886940e-05,.66907905200204269169] 
dist 121=[-.39265006348247582199,.32782940594037863767] 
dist 122=[-3.19288290509141921660e-05,.68873133464929277634] 
dist 123=[-.47394783401689371558,.18483799026865567784] 
dist 124=[-3.33000493214010075930e-05,.27991157463825051736] 
dist 125=[-.4389482171729486264 ,.21742778854207620645] 
dist 126=[-.16222356840749595675,.10584029434615659421] 
dist 127=[-.14142684938576759839,.12741909031445042418] 
dist 128=[-.31654940849298571579,1.04938646266167880260e-05] 
dist 129=[-.03402759168879212144,.15553014983035141517] 
dist 130=[-.37320937634821759517,2.43647778065301542800e-05] 
dist 131=[-.14041818962755925669,.1195155713110550566 ] 
dist 132=[-.29596872777780999733,7.66755224419150980220e-06] 
dist 133=[-4.42573275016690785750e-06,.11768916274842943901] 
dist 134=[-.24512886268330282444,5.50459057962556000340e-06] 
dist 135=[-.13751680237369164904,.09629078616053510036] 
dist 136=[-.16998064572165117095,-7.59240951394106819080e-07] 
dist 137=[-.01071618974737246026,.11705669501389579397] 
dist 138=[-.12183979443530555334,.01592377008762123211] 
dist 139=[-.01111402445219845165,.10413445130786357219] 
dist 140=[-3.86675196408442999930e-06,.26195445812663088885] 
dist 141=[-.06626771592842620974,.12898306833994607043] 
dist 142=[-2.92366887700507757260e-06,.37745070902892874404] 
dist 143=[-.1292705333881783722 ,.1972853467469025584 ] 
dist 144=[-3.73039057628393295850e-07,.43644783390509256021] 
dist 145=[-.39807860193505390206,.35689071927614591502] 
dist 146=[-.06105886045555927857,.44044698224393798505] 
dist 147=[-.38116236135798764659,.40851439690301865034] 
dist 148=[-.28988778428420532306,.04691815426296429000] 
dist 149=[-.3770362861888506152 ,.43893273399447478566] 
dist 150=[-.42597796004739624793,6.88070636902256538170e-07] 
dist 151=[-.1741532212573707923 ,.30050421789824595317] 
dist 152=[-.51699934729446206619,9.67800810720715339700e-10] 
dist 153=[-.40682165321020791989,.41560986294631277457] 
dist 154=[-.53056124395093929271,.17632873249192825938] 
dist 155=[-.3773741362636337051 ,.39144438846836347031] 
dist 156=[-.38227759551350334866,.1136722323196571643 ] 
dist 157=[-.38537479313946108084,.38000894963541700812] 
dist 158=[-.2905797532024976382 ,.19863212667356170177] 
dist 159=[-.13578205376533830436,.08158753071062707694] 
dist 160=[-.18312460669077475752,.26295622212393329797] 
dist 161=[-.41405811249461995643,.23968762606543161843] 
dist 162=[-.13021852463585654811,.28472636362642408401] 
dist 163=[-.40680388087245568406,.24952287561288544032] 
dist 164=[-.11291776555237321857,.15509248836577602191] 
dist 165=[-.40163514476750360195,.25452634376589438091] 
dist 166=[-.11708275803800593666,.15609012938221053575] 
dist 167=[-.25004524731524667727,.16459281416217930993] 
dist 168=[-.12337959295287165094,.13760910631090756114] 
dist 169=[-.43476630989829185974,.2720900111480609952 ] 
dist 170=[-.13079023090458256544,.13041308664056192904] 
dist 171=[-.40298947641421974904,.289216321707057672  ] 
dist 172=[-.148791750287460554  ,.08843141410904322842] 
dist 173=[-.44714555596086242079,.30939155244164018479] 
dist 174=[-.16177879227899216951,.08290775531199296352] 
dist 175=[-.30901063321140160661,.19128110865812284322] 
dist 176=[-.16141951194313218719,.07002595348550434573] 
dist 177=[-.20215321334894010298,.38931815038887890756] 
dist 178=[-.16115797600262491715,.10590000927429837614] 
dist 179=[-.27346465538353886077,.41922338487790528765] 
dist 180=[-.11229008715560460882,.21451587211100144836] 
dist 181=[-.23670678445062990802,.44294050314616766899] 
dist 182=[-.08862436535018193376,.25705594087438141637] 
dist 183=[-.2035343391310566757 ,.29371936544646959174] 
dist 184=[-.10069570064035803629,.30382263132290069476] 
dist 185=[-.22201140096527108534,.56296841702768406508] 
dist 186=[-.11261461867692480505,.30760815544139688918] 
dist 187=[-.20486212671116792386,.55958618080102510936] 
dist 188=[-.16292463757549393333,.30708184932429058741] 
dist 189=[-.21961290163651145923,.55155383888499136731] 
dist 190=[-.16418213536844160242,.28196688137559952707] 
dist 191=[-7.88744835287510385710e-09,.2859267220593514265 ] 
dist 192=[-.17331918704115656385,.26417357875585169851] 
dist 193=[-2.65938515481063190970e-09,.2815000423737225348 ] 
dist 194=[-.18078707619677844033,.25595078086469391633] 
dist 195=[-3.17587448870652299290e-09,.265499364848072885  ] 
dist 196=[-.1512175674712234096 ,.06960752515913970657] 
dist 197=[-2.96888740882573873020e-09,.25781084543114456142] 
dist 198=[-.16137117136763352658,.09683021854851208377] 
dist 199=[-2.96216469343487678540e-09,.19371981415550154954] 
dist 200=[-.15611857010454321701,.11920204340539225946] 
dist 201=[-2.44982538081554099400e-09,.17014536377446491027] 
dist 202=[-.19197419358727084075,.14462270606429472369] 
dist 203=[-2.46725217729252724010e-09,.14686962309732877665] 
dist 204=[-.23992300900152364708,.17389997048425444097] 
dist 205=[-2.61981357792520385490e-09,.12883659515591296648] 
dist 206=[-.28102026846727332528,.20456774326745235455] 
dist 207=[-.08409918378858679820,3.00423073589519315350e-09] 
dist 208=[-.30477682109584248805,.21329464454177994455] 
dist 209=[-.13029813326874439186,3.51379966961282954390e-09] 
dist 210=[-.30281421810709293242,.21272197861111203471] 
dist 211=[-.17214766894933362921,4.15041519448811012750e-09] 
dist 212=[-.31482010644923934563,.18237761999261326634] 
dist 213=[-.21400972288112396502,3.18869702828410104200e-09] 
dist 214=[-.31198604287000468588,.23877390883583264007] 
dist 215=[-.26872702044589685713,3.31047984713193436880e-09] 
dist 216=[-.29593991970682198354,.27526356575397048272] 
dist 217=[-.28839785779411075059,2.36624827607306015730e-09] 
dist 218=[-.28479532871384487177,.30431677279471245047] 
dist 219=[-.13540516721472566029,2.60897060152049796150e-09] 
dist 220=[-.17928813426202347443,.2847778484639343141 ] 
dist 221=[-.12388982368913907831,4.15952267164331614790e-09] 
dist 222=[-.15092120687248513631,.30465183360776350431] 
dist 223=[-2.16237393937918703320e-09,.15865636021685517129] 
dist 224=[-.15192638018740709997,.30825065137524958053] 
dist 225=[-3.83426739464400494530e-09,.21812024931622668525] 
dist 226=[-.14779727866937940423,.3014555601654070508 ] 

8 phat 5 dirichlet min maxes function [0, 0, 1, 2, 2, 0, 0, 1, 2] 
dist 0=[386.99473157114993032   ,386.99473157114993032   ] 
dist 1=[368.97602605087929945   ,386.62933628400489107   ] 
dist 2=[328.42084968078833843   ,386.99473157114993032   ] 
dist 3=[250.79418357552789094   ,349.19576845455296438   ] 
dist 4=[167.09972908708998520   ,317.24872098020504378   ] 
dist 5=[102.55235527530377612   ,252.15923460733094156   ] 
dist 6=[45.719380312942897899  ,237.79574810103080122   ] 
dist 7=[-9.0420676688137744312 ,128.96563681406925241   ] 
dist 8=[-52.992306382186659801  ,48.382064657606610604  ] 
dist 9=[-68.124568277746684274  ,-10.014741720717792935  ] 
dist 10=[-91.127873958017108024  ,-21.578626393836247591  ] 
dist 11=[-104.96699104610110703   ,-11.683119715919438613  ] 
dist 12=[-106.57703532094799367   ,6.3320319624771476337 ] 
dist 13=[-90.645663539399639142  ,22.707122071176566849  ] 
dist 14=[-87.434981925848426271  ,38.663300636982799613  ] 
dist 15=[-8.8926519286297911911 ,54.652076745320864143  ] 
dist 16=[4.1088462063243790440 ,66.207257697008422788  ] 
dist 17=[31.452981301875518819  ,67.980707776437507953  ] 
dist 18=[28.396569616356772820  ,59.897884383306623856  ] 
dist 19=[11.585766545133752685  ,57.651935236847702745  ] 
dist 20=[-6.0535385167201470776 ,52.980061095969600583  ] 
dist 21=[-18.347269824388589631  ,44.726118550391357957  ] 
dist 22=[-31.161573478339388882  ,40.169156025051927908  ] 
dist 23=[-37.295376879852304103  ,14.524527953537531853  ] 
dist 24=[-39.564315716459860095  ,9.3561621271445486974 ] 
dist 25=[-40.689343913865144536  ,.232172532986051421  ] 
dist 26=[-42.970952613665086695  ,-2.0667142786397222195 ] 
dist 27=[-28.912809853628093823  ,-.31458842429682565395] 
dist 28=[-13.783049355527855092  ,15.858500424783960439  ] 
dist 29=[-10.545010003663075218  ,26.332422826658810786  ] 
dist 30=[-6.8781810956047711312 ,33.548146982020812777  ] 
dist 31=[1.6223961257871790851 ,35.098962851727791604  ] 
dist 32=[3.1373241870347675010 ,8.7512573988832289659 ] 
dist 33=[2.7205241398713696053 ,8.7261278483359454152 ] 
dist 34=[1.5813336398885100965 ,7.3924120582886159149 ] 
dist 35=[-.41291161487603672518,7.1591068049959587968 ] 
dist 36=[-2.4413805061739093602 ,6.9340451549714437134 ] 
dist 37=[-3.7114798551128345215 ,5.8350615765913341499 ] 
dist 38=[-4.4967026147722681924 ,5.5569278143110232202 ] 
dist 39=[-4.6583011186006758713 ,2.2694946239655818750 ] 
dist 40=[-3.3112443616901559203 ,1.6324575543481694479 ] 
dist 41=[-3.3069404175668616386 ,.33735593935714292777] 
dist 42=[-2.9959732526706835942 ,.08853468975195684252] 
dist 43=[-2.7466488386387687270 ,.90258005299172605122] 
dist 44=[-1.9015889658024633546 ,2.4115548744254463776 ] 
dist 45=[-1.8740460282354779261 ,3.2921860342216341933 ] 
dist 46=[-1.8493607296544507008 ,3.7952629952071888355 ] 
dist 47=[-1.4551115430743182391 ,3.8590149747040834305 ] 
dist 48=[-1.7094678840248405462 ,2.6752882926477747634 ] 
dist 49=[-2.1578742081114180863 ,2.6592771448034877417 ] 
dist 50=[-2.6181246350288628447 ,2.4970187099790776479 ] 
dist 51=[-3.1806500034645030044 ,2.4322851891715863982 ] 
dist 52=[-3.7075755653177452799 ,1.8282306495063496804 ] 
dist 53=[-4.0250298143943893356 ,1.6271946756130558551 ] 
dist 54=[-4.2219346337277429171 ,1.4924042651343617064 ] 
dist 55=[-4.2784238959485857994 ,1.4384949019884240558 ] 
dist 56=[-4.2632697803929717677 ,1.4283099223708253946 ] 
dist 57=[-4.1818798411842326883 ,1.4616771675485640525 ] 
dist 58=[-4.0875061573839931549 ,1.5634521694524830571 ] 
dist 59=[-4.0206320116228371080 ,1.8037305732096481614 ] 
dist 60=[-3.5902916502971380304 ,2.0230726465360903800 ] 
dist 61=[-3.4282188711216419849 ,2.1669865650992918271 ] 
dist 62=[-3.3131838155431897292 ,2.2781819444280349821 ] 
dist 63=[-3.2629205041401328939 ,2.3689876640818849602 ] 
dist 64=[-.15086795376670399101,2.4364666538632494167 ] 
dist 65=[-.20491682756649896619,2.4559822435552263487 ] 
dist 66=[-.27721450766840889598,2.4573597618107988405 ] 
dist 67=[-.39046966229198029717,2.4523699785597162563 ] 
dist 68=[-.51686471348712908538,2.3420404613350963303 ] 
dist 69=[-.64158934062870409829,2.3040099909773965039 ] 
dist 70=[-.78682181023802259905,2.2741760626274786952 ] 
dist 71=[-.99587302117835931164,2.6168628919909679049 ] 
dist 72=[-1.1998472668551024604 ,3.0069907021372215600 ] 
dist 73=[-1.3250792299461407267 ,3.2636755859329686017 ] 
dist 74=[-1.4173304740769135354 ,3.4707602086742525963 ] 
dist 75=[-1.4895782160328547056 ,3.6623337519110787037 ] 
dist 76=[-1.5456517777721571087 ,3.8261463205684697151 ] 
dist 77=[-1.6865178105379511970 ,3.9224200713860079942 ] 
dist 78=[-1.8622361945983958279 ,3.9861766170292908726 ] 
dist 79=[-2.1019571693421390556 ,4.0207740505217260989 ] 
dist 80=[-2.6540208527757738311 ,4.0343501426845271054 ] 
dist 81=[-3.0065845477266631073 ,4.0305472644006710395 ] 
dist 82=[-3.2800872340042175891 ,3.9872105591797553712 ] 
dist 83=[-3.5164835576649707623 ,3.9708309758231379956 ] 
dist 84=[-3.7099547015065100514 ,3.7663142000368178092 ] 
dist 85=[-3.8121591266806390408 ,3.7015658076535213623 ] 
dist 86=[-3.8679592590803068601 ,3.6523646348929414703 ] 
dist 87=[-3.8763952038100206034 ,3.6119406583285883927 ] 
dist 88=[-3.8547848731314789705 ,2.8319766780974401492 ] 
dist 89=[-3.8359735014836502986 ,2.6366999909280194097 ] 
dist 90=[-3.8110421637670715803 ,2.4937393736399115865 ] 
dist 91=[-3.7715557430025590989 ,2.4084159788069523211 ] 
dist 92=[-3.7261993897392224823 ,2.1823789215425242848 ] 
dist 93=[-3.6778340680702066781 ,2.0826965471510272953 ] 
dist 94=[-3.6320061638910377559 ,2.0073657501803144577 ] 
dist 95=[-3.5966960433085631856 ,1.9652070098620080124 ] 
dist 96=[-3.4699918501799071216 ,1.8790569944529342744 ] 
dist 97=[-3.4617502019394350409 ,1.9447519539106548718 ] 
dist 98=[-3.4063240397545232230 ,1.9886632183293951726 ] 
dist 99=[-3.3972085845590774841 ,2.0138021893071029222 ] 
dist 100=[-3.1795995065394183738 ,2.0249644391841947730 ] 
dist 101=[-3.1232820463936722455 ,2.0132778092306410435 ] 
dist 102=[-3.0895646878490257706 ,1.9975425535708345134 ] 
dist 103=[-3.0778552022148059319 ,1.9924916255197639982 ] 
dist 104=[-2.2461147324733011660 ,-.07691718412123410742] 
dist 105=[-2.1353447801137129538 ,-.07793825820049542781] 
dist 106=[-1.9225504198727801238 ,-.08289556435033024896] 
dist 107=[-1.8327049199358733346 ,-.08479811110092520991] 
dist 108=[-1.6769967541293091155 ,-.10112572320414395544] 
dist 109=[-1.6158944252525191369 ,-.10704042902982488502] 
dist 110=[-1.5769628315525642514 ,-.11163943695118759389] 
dist 111=[-1.5581703729216496570 ,.33167945082319334074] 
dist 112=[-.18320156258815651033,.9125371513105762106 ] 
dist 113=[-.29128345430960834791,1.3098404731106227545 ] 
dist 114=[-.20887084823712092735,1.6485541142758696818 ] 
dist 115=[-.31648178498854654599,1.9956062526197582120 ] 
dist 116=[-.22647908208732916486,2.3212313653093445621 ] 
dist 117=[-.3109848141783928951 ,2.5744388627473548067 ] 
dist 118=[-.22654884414927006606,2.8229628081581454704 ] 
dist 119=[-.31181339010643322467,3.1298966997191742869 ] 
dist 120=[.03463290979263561689,3.4205378707072703293 ] 
dist 121=[.05466879030181319419,3.6040423389932093109 ] 
dist 122=[.09420248793760342230,3.7441080240111398848 ] 
dist 123=[.10082368340701914177,3.8613992716047190896 ] 
dist 124=[.11976194170720201343,3.9549883156280145413 ] 
dist 125=[.1148101956577565655 ,4.0004668461314990435 ] 
dist 126=[-.19578402383085953512,4.0193837925860555769 ] 
dist 127=[-.91766500702063652552,4.0069760112681770575 ] 
dist 128=[-1.6395406585839205434 ,.29353689683171907399] 
dist 129=[-2.1081045514376322536 ,.3699933517358659743 ] 
dist 130=[-2.4805841162978565073 ,.2636263897387569074 ] 
dist 131=[-2.8190228089413459857 ,.34478152118701302508] 
dist 132=[-3.1094408642574531791 ,.22142406098648594515] 
dist 133=[-3.3004637721477195465 ,.30894132563870526413] 
dist 134=[-379.34070170996760607   ,.20337568610255286945] 
dist 135=[-3.5700542250708116924 ,.29366197836476426026] 
dist 136=[-3.6718998513987210378 ,-.10957170778501883242] 
dist 137=[-3.7358637527853970705 ,-.12670234473219798281] 
dist 138=[-3.7842945648113944474 ,-.16266734492272137796] 
dist 139=[-3.8241531238143159246 ,-.13604142327236048934] 
dist 140=[-3.8554253228874371394 ,-.18917460453649953618] 
dist 141=[-3.8695908186445221066 ,-.10949230764294174725] 
dist 142=[-3.8739302058525895702 ,-.16284873628785322977] 
dist 143=[-3.8659893817095364885 ,-.08880209516672915330] 
dist 144=[-1.5522420105719942270 ,-.10905402919941657479] 
dist 145=[-1.3626519790695089192 ,-.07566569650044103836] 
dist 146=[-.9055846804601719197 ,-.07410227442724615090] 
dist 147=[-.89258106849390210307,-.01730081066240037332] 
dist 148=[-.20940037155550706672,.09437647088673398381] 
dist 149=[-.30748204581634480902,.3476709308992974954 ] 
dist 150=[-.21622031095773736772,.59632576334172355891] 
dist 151=[-.29240265209349943736,.90347432896276659619] 
dist 152=[-.22543719289323305586,1.1948048521505500600 ] 
dist 153=[-.22629016157271803084,1.3803354994672999400 ] 
dist 154=[-.22558133374934857017,1.5237901969384502403 ] 
dist 155=[-.29401320391678548729,1.6472113216150611607 ] 
dist 156=[-.20913126457418402723,1.7482193179640608822 ] 
dist 157=[-.2799836606273850337 ,1.8022316414423546352 ] 
dist 158=[-.19825618111582954105,1.8326307326686918205 ] 
dist 159=[-.26872244288151298791,1.8394075433952186802 ] 
dist 160=[-.10668433175460900989,1.8317899377850692094 ] 
dist 161=[-.16455387176871751684,1.8263550080764212681 ] 
dist 162=[-.06620859897471812223,1.8042613018520698835 ] 
dist 163=[-.14417551226797576295,1.7920369619299034808 ] 
dist 164=[-.02194321851554756025,1.7139969751009834554 ] 
dist 165=[-.14694581055184300489,1.6829625253052000888 ] 
dist 166=[-.00067326608371759783,1.6547856758898204519 ] 
dist 167=[-.12542384348622037829,1.6234597976203455515 ] 
dist 168=[.00623390355039893530,1.3445988970673706760 ] 
dist 169=[.00592653561462959064,1.2620957643554046984 ] 
dist 170=[.00540407338898670780,1.2017387915504650519 ] 
dist 171=[.00447526626906917537,1.1727096430652167788 ] 
dist 172=[.00339923135426304104,1.0379552139008109713 ] 
dist 173=[-.10824723546104687075,.98537976408051368312] 
dist 174=[-.35489682915677543499,.94628452450493376249] 
dist 175=[-.71457105213101329136,.92687377420917629437] 
dist 176=[-1.0716748119974652664 ,.28900665642163457137] 
dist 177=[-1.3080666534792906656 ,.2256899862128552991 ] 
dist 178=[-1.5011747614489491165 ,.1250480976837139222 ] 
dist 179=[-1.6988878044016174333 ,.12703949643508312367] 
dist 180=[-1.8798416524048949273 ,.10527831488762747766] 
dist 181=[-2.0083151802996129835 ,.11999589530273413387] 
dist 182=[-2.1228775169700501177 ,.09616132517160894349] 
dist 183=[-2.2483167719585098565 ,.12529408881515375887] 
dist 184=[-2.3591362351766237461 ,.03699686263872966490] 
dist 185=[-2.4153566644405613618 ,.06108297623666051439] 
dist 186=[-2.4452179159664667135 ,.11914131297054252665] 
dist 187=[-2.4508483031200796468 ,.21237282771562212483] 
dist 188=[-2.4211429791105572212 ,.321019323070323315  ] 
dist 189=[-2.4111729564415232187 ,.44059309401140411886] 
dist 190=[-2.4031393965009135012 ,.59101170340490487846] 
dist 191=[-2.3956545784987733933 ,.82274845638466306198] 
dist 192=[-.25789146248657975182,1.1075083696931685746 ] 
dist 193=[-.26411716373342893567,1.2925744117270164011 ] 
dist 194=[-.26743982162921458923,1.4397181980628423076 ] 
dist 195=[-.27503824163042870672,1.5734598604233905179 ] 
dist 196=[-.2652313639623531926 ,1.6882536664267535852 ] 
dist 197=[-.26877667738115404006,1.8382253224582206632 ] 
dist 198=[-.2631006815545634633 ,1.9827252393308485727 ] 
dist 199=[-.26188635630469824536,2.1387256722276880747 ] 
dist 200=[-.00362733056010501951,2.2790321399538815602 ] 
dist 201=[-.00357811484515707326,2.3609031513684757273 ] 
dist 202=[-.00332620025961340927,2.4156024822536414584 ] 
dist 203=[-.23107367032651665379,2.4474762226352043521 ] 
dist 204=[-.00235390769706086585,2.4647892069515485505 ] 
dist 205=[-.27016794381548735511,2.4613815894917083588 ] 
dist 206=[-.00182875483382130032,2.4505414560755756115 ] 
dist 207=[-.27063531392308255268,2.4381937919336273049 ] 
dist 208=[-.35713468322040626121,1.7121353727337339696 ] 
dist 209=[-.59354670083792855019,1.6480312854678740973 ] 
dist 210=[-.78667027220870660063,1.4839916032235559466 ] 
dist 211=[-.97105682194568562096,1.4573872294907755197 ] 
dist 212=[-1.1355876271117204441 ,1.1849604504183290114 ] 
dist 213=[-1.2494742861483166729 ,1.1632341725669077792 ] 
dist 214=[-1.3480107438982746222 ,1.0669841107288674524 ] 
dist 215=[-1.4512845889380293934 ,1.0946667882598321715 ] 
dist 216=[-1.5440379502066792948 ,.52675362572315461054] 
dist 217=[-1.6005910591301926487 ,.57603575458375191322] 
dist 218=[-1.6414249255996135999 ,.31986342060634393455] 
dist 219=[-1.6714486203310115508 ,.41460903021418804372] 
dist 220=[-1.6922036366683102451 ,.13878315020520999142] 
dist 221=[-1.6960496453309918895 ,.26475796959090008575] 
dist 222=[-1.6926649903555742086 ,.11899624731620732874] 
dist 223=[-1.6845651098994609166 ,.25673238067473847337] 
dist 224=[-.18819598181641101735,.05854105195539136560] 
dist 225=[-.30699537685786562771,.15877645947250048715] 
dist 226=[-.18961653221033414436,.03562485660989040692] 
dist 227=[-.33003454179510984728,.2508477624366551274 ] 
dist 228=[-.19429981377834463019,.01597089571469473113] 
dist 229=[-.34205224307050533561,.27827117770819740979] 
dist 230=[-.19373056880190520246,.00695465385990580172] 

8 phat 5 dirichlet min maxes function [1, 2, 0, 0, 0, 2, 2, 0, 2] 
dist 0=[387.44578461020785149   ,387.44578461020785149   ] 
dist 1=[366.73870676665131977   ,387.60268986723033572   ] 
dist 2=[322.34151888451348637   ,387.44578461020785149   ] 
dist 3=[241.29669154754747936   ,352.78006591865253785   ] 
dist 4=[154.99058988595238661   ,331.71579279545378356   ] 
dist 5=[89.785711409329148227  ,259.02126605596577353   ] 
dist 6=[33.661924564506123521  ,174.36391984598625403   ] 
dist 7=[-18.344295900336658516  ,118.82675611903160702   ] 
dist 8=[-60.671295163094391079  ,108.11830845304323147   ] 
dist 9=[-84.315277474158938293  ,-2.6496313677199641313 ] 
dist 10=[-102.43170921343486554   ,-28.525432016415301922  ] 
dist 11=[-105.19833665863454158   ,-32.453651634370652154  ] 
dist 12=[-91.488336150102261231  ,-15.666303459237858864  ] 
dist 13=[-88.551999633907640153  ,6.4514607133761015902 ] 
dist 14=[-9.9398985298074960013 ,25.548495963250940211  ] 
dist 15=[4.9059771834893286474 ,43.098726083528380635  ] 
dist 16=[30.754656441072423615  ,59.796514530776008094  ] 
dist 17=[35.793925926598905561  ,71.384469445469970768  ] 
dist 18=[27.119884397423373897  ,73.031137054672705091  ] 
dist 19=[9.6178277522973310358 ,63.837875688673410179  ] 
dist 20=[-8.6604882146343180030 ,61.367552805352886367  ] 
dist 21=[-20.363415016960442613  ,42.985061735535016125  ] 
dist 22=[-28.171953380924248680  ,15.449591688920917580  ] 
dist 23=[-33.997683931155957613  ,12.810811637951339033  ] 
dist 24=[-41.495953116553661403  ,.60268540329014741424] 
dist 25=[-43.814812793024503748  ,1.0301712526109836601 ] 
dist 26=[-42.367862459235456947  ,-1.9988489171141935270 ] 
dist 27=[-35.994510209065155591  ,-1.1995459412553564656 ] 
dist 28=[-32.150313563027816208  ,6.3919806679935031464 ] 
dist 29=[-14.411855501367544932  ,15.518480597038569546  ] 
dist 30=[-3.1664698658401437275 ,26.508666205445931933  ] 
dist 31=[-.02476884155557025668,33.984664037453342795  ] 
dist 32=[3.3301976839743929111 ,36.835851229984264480  ] 
dist 33=[2.9670560977816118857 ,7.6066991603129378716 ] 
dist 34=[-.82424078142389229254,8.8350038920964527209 ] 
dist 35=[1.0346432094261374350 ,6.1371904473334988360 ] 
dist 36=[-4.9375099965924736806 ,5.9190189323463496800 ] 
dist 37=[-2.3145107759593125015 ,4.0411627166418112724 ] 
dist 38=[-6.5605311506870411280 ,1.7994284282193238756 ] 
dist 39=[-4.4392094322603129977 ,-.2887294562229140221 ] 
dist 40=[-5.2441531017489150407 ,-1.0058768365419166261 ] 
dist 41=[-5.5821178908690371905 ,-1.2481164550709476490 ] 
dist 42=[-5.8616209117004081310 ,-.97595068721778753628] 
dist 43=[-3.1939785546341604849 ,-.47743083996707104206] 
dist 44=[-4.9434538379628340234 ,.03795061682248142473] 
dist 45=[-2.6476618797695428540 ,1.1210044212408400049 ] 
dist 46=[-3.8987130932796648326 ,2.2178457827113061518 ] 
dist 47=[-1.7034186282769818413 ,2.9079833890483687752 ] 
dist 48=[-1.9416202191911364555 ,3.0874147305980532206 ] 
dist 49=[-1.2998451973656473570 ,2.8549558262190802479 ] 
dist 50=[-4.1029117531695436565 ,.91174487120172886204] 
dist 51=[-1.2755311442093250847 ,2.7226544758399902840 ] 
dist 52=[-4.5926329849729435629 ,1.6820543644840985841 ] 
dist 53=[-1.4332197056437521983 ,2.5593543711772282978 ] 
dist 54=[-5.4679173799202117857 ,1.5266836720460061899 ] 
dist 55=[-1.8693327958010923213 ,2.1921929299455340437 ] 
dist 56=[-3.4575945030969951649 ,1.8690571934396532524 ] 
dist 57=[-1.9635699375231606360 ,1.8418768574407163988 ] 
dist 58=[-2.0359052156323631721 ,3.9632878520161658882 ] 
dist 59=[-.44830822506507409109,-.01276614779907430372] 
dist 60=[-2.8957468606793932603 ,4.4730676511963774176 ] 
dist 61=[-.14370305374668491607,.18912956119958991013] 
dist 62=[-2.1420555494520587465 ,4.6654468384628691872 ] 
dist 63=[.03052969481194767366,.38076254875288147287] 
dist 64=[-2.1112975999365942124 ,3.2106011351351646979 ] 
dist 65=[.06526314298152245933,1.4772362685820927405 ] 
dist 66=[-.34628802892931169205,5.8972183478399064485 ] 
dist 67=[.01378707864053331172,1.7025910070974864552 ] 
dist 68=[-.12603941867431491528,5.7923080956750873061 ] 
dist 69=[-.03938471752577114910,1.2663757467184831757 ] 
dist 70=[-.753583608895247311  ,5.5835841091642410023 ] 
dist 71=[-.05604386950982012803,1.0808977784967423245 ] 
dist 72=[-.06574939172715760727,2.9932259444329288265 ] 
dist 73=[-.06951256255942444987,.96761885864171554702] 
dist 74=[-1.2770134718889568597 ,2.9467075336574119873 ] 
dist 75=[-2.4031896445159722451 ,1.3048047284197802930 ] 
dist 76=[-1.2698885465026943296 ,2.7768578202910560558 ] 
dist 77=[-2.5672016292178585654 ,1.2318788957490351257 ] 
dist 78=[-1.4110180305354890517 ,2.7152148524008014652 ] 
dist 79=[-2.5410948509347150753 ,1.4951881866173516588 ] 
dist 80=[-1.4270806054172200263 ,1.9755503416215421212 ] 
dist 81=[-.87184136589996261417,.25302027788457645257] 
dist 82=[-1.3500478486638446535 ,1.7156382416251330102 ] 
dist 83=[-2.3886900498134237965 ,1.7644861076523540172 ] 
dist 84=[-1.4414728139443536372 ,1.5003116700612243868 ] 
dist 85=[-2.6019057774896402599 ,1.6613698004008784420 ] 
dist 86=[-1.3304075601634697825 ,1.4090728139412289378 ] 
dist 87=[-3.0453698611941020167 ,1.5269343516620093860 ] 
dist 88=[-1.2838946708656435414 ,.42931908256853446458] 
dist 89=[-1.8716661404457836839 ,.00814026193270901990] 
dist 90=[-1.8765926904457915808 ,1.9700823009412169807 ] 
dist 91=[-2.8744045226030342491 ,2.7838903660528182395 ] 
dist 92=[-2.0509980686664934259 ,1.9982469489757885346 ] 
dist 93=[-2.6550805937159060336 ,2.9358684441429862307 ] 
dist 94=[-2.4120311603611449788 ,2.1263051816811304682 ] 
dist 95=[-2.6095140772328880628 ,3.1258177369711887027 ] 
dist 96=[-2.9623626649475898307 ,2.1681253973657615528 ] 
dist 97=[-.51766966689722956309,1.7932255579104169445 ] 
dist 98=[-3.2176593376803758806 ,1.8485409371837555876 ] 
dist 99=[-2.0445849895363861433 ,3.0222850745436882848 ] 
dist 100=[-3.3624861547644712533 ,2.0278249453662309874 ] 
dist 101=[-2.2561911335539720499 ,2.7298397634206153993 ] 
dist 102=[-3.3661054868932129601 ,1.8570102776807640425 ] 
dist 103=[-2.4758553875779509017 ,2.6297190548257955403 ] 
dist 104=[-1.6102888782995198050 ,1.8706070645629580215 ] 
dist 105=[-.00097950424959847028,1.3927556808456839358 ] 
dist 106=[-.6334487653545323361 ,2.2444448695522353952 ] 
dist 107=[-1.4867617021577553845 ,2.9448661353208489567 ] 
dist 108=[-.6029345125552952681 ,2.7793556765188704317 ] 
dist 109=[-1.8677570739961871953 ,2.8971012595553009112 ] 
dist 110=[-.95376820614836864963,2.9823406992028110268 ] 
dist 111=[-1.9495837146407730286 ,2.8820129895963012579 ] 
dist 112=[-.84825145371932397737,3.1698143861179439394 ] 
dist 113=[-1.1048617641776673629 ,.82700070756368909979] 
dist 114=[-1.2335104537525073023 ,3.2697374710388859305 ] 
dist 115=[-.96400566050185947027,.00015624102640747811] 
dist 116=[-1.2144037619843898712 ,3.2967999722711639711 ] 
dist 117=[-1.2133753505685577904 ,.46347342938741370516] 
dist 118=[-1.6802905459460506466 ,3.2512331472000165459 ] 
dist 119=[-1.2732313817962507512 ,2.38671550662614074300e-05] 
dist 120=[-1.4782539353277649851 ,1.3596659044623490707 ] 
dist 121=[-.15261580221489448011,.17299962704875000304] 
dist 122=[-.00010238640119154101,3.1698914768574905929 ] 
dist 123=[-1.3096386565092388372 ,5.40846841678281631570e-05] 
dist 124=[-.17756171027525228506,3.2863427098424811688 ] 
dist 125=[-1.3930317177929445362 ,8.89952488000798758640e-05] 
dist 126=[-.4868388784511908554 ,3.0032142598586340283 ] 
dist 127=[-1.2990662740449046527 ,.00011188095341589651] 
dist 128=[-1.1338898860592279133 ,2.9052627572212808259 ] 
dist 129=[1.49543420803777317390e-05,2.16065987008801324870e-05] 
dist 130=[-1.3958127117322184419 ,1.8192803739703429732 ] 
dist 131=[2.81197037135705020620e-06,1.80247620049222044870e-05] 
dist 132=[-1.5871775861387777206 ,1.8728798489552734534 ] 
dist 133=[-9.44217171708550135340e-06,1.27488712622775822570e-05] 
dist 134=[-1.6561707082793326660 ,1.8930312514634105805 ] 
dist 135=[-1.31909339938796817860e-05,-2.16900995050112959200e-07] 
dist 136=[-1.5131559218077722979 ,2.1972837322150419751 ] 
dist 137=[-1.48420867554660947100e-05,-4.23585666995188736970e-06] 
dist 138=[-1.4855026026972437361 ,.73786998696491907503] 
dist 139=[-4.18889184639021484730e-06,-1.39280102995145297010e-06] 
dist 140=[-1.4246803326528791674 ,.60916651492275585969] 
dist 141=[-2.96920257854718379690e-06,1.68960709585746238890e-06] 
dist 142=[-1.3832933493605352588 ,2.0084292388140481712 ] 
dist 143=[7.53808763015941304340e-07,2.65587838820264128080e-06] 
dist 144=[-1.5003516431219003675 ,1.6927673929690731582 ] 
dist 145=[1.91273216054053883980e-06,2.49115298372903581640e-06] 
dist 146=[-2.7872837128516689697 ,3.0113383723921248939 ] 
dist 147=[3.22770494292701154790e-07,2.30606284250383787020e-06] 
dist 148=[-2.7898269318480146367 ,2.9379610787223198825 ] 
dist 149=[-1.50053204872082284710e-06,1.62557621110072428840e-06] 
dist 150=[-2.5276861348153314743 ,3.3201660799311871408 ] 
dist 151=[-2.05347324917700995850e-06,-9.45403910382582191730e-08] 
dist 152=[-2.5737712877554517790 ,3.2445768468744496024 ] 
dist 153=[-1.46119882177988264020e-06,-5.10734105147473633110e-07] 
dist 154=[-2.6465396968819120649 ,1.4345855208089139260 ] 
dist 155=[-5.29713260504474285020e-07,-1.44616072498575880570e-07] 
dist 156=[-2.5887865529240480954 ,1.6810184238245609782 ] 
dist 157=[-3.74648906907347177630e-07,2.25428312926278224790e-07] 
dist 158=[-3.1739416596618384633 ,1.7530168510216386298 ] 
dist 159=[1.10266498049827548190e-07,3.40151812796638059270e-07] 
dist 160=[-3.0813791503547433761 ,2.0102859341506244068 ] 
dist 161=[2.24539228887201064060e-07,3.17811050157122742330e-07] 
dist 162=[-3.0643948662108515454 ,2.0701547236078619200 ] 
dist 163=[3.95871340963581626430e-08,2.65590934409475624790e-07] 
dist 164=[-3.1910397896251537045 ,2.0221631535386333667 ] 
dist 165=[-1.46331495908230738960e-07,34947093.929430707189        ] 
dist 166=[-3.1235927507928202457 ,1.9956822093608426663 ] 
dist 167=[-2.02938017489751435880e-07,-3.85684041872246852020e-09] 
dist 168=[-2.9891881774789074162 ,1.3622954470192142235 ] 
dist 169=[-2.17280171755995292520e-07,-6.28567993527807015550e-08] 
dist 170=[-2.5776470136131264882 ,1.4864668884258410002 ] 
dist 171=[-6.35316581408841641280e-08,-1.96264919529443533230e-08] 
dist 172=[-2.5223040453636913793 ,1.4781478071165008730 ] 
dist 173=[-4.48414903474280620000e-08,2.60547594257276929260e-08] 
dist 174=[-3.1052641185771121305 ,1.5154742689774936760 ] 
dist 175=[7.70300859469452924550e-09,4.02275562792404450410e-08] 
dist 176=[-3.0236513255395630147 ,1.5060415792265554586 ] 
dist 177=[2.36215877642729887470e-08,4.66509295152368894920e-08] 
dist 178=[-2.9975114760428523050 ,1.5189795558280899008 ] 
dist 179=[4.06156583739830841660e-09,3.67601653166191152460e-08] 
dist 180=[-3.1245380977875929940 ,1.5206528508556437019 ] 
dist 181=[-2.73804970873691601260e-08,2.58536368521352427580e-08] 
dist 182=[-3.0688690063325391613 ,1.4960158371048643618 ] 
dist 183=[-4.08613966689311496460e-08,3.94668084742162114760e-09] 
dist 184=[-2.9345351769039675918 ,1.5076592130686791049 ] 
dist 185=[-2.37092242358329887470e-08,8.12155941658182910700e-08] 
dist 186=[-1.3035015601849702143 ,.70444863720144181196] 
dist 187=[-9.21742546339925617780e-08,9.02363747894672313970e-08] 
dist 188=[-1.0707120404471845468 ,1.0511862956597987825 ] 
dist 189=[-8.04524747574459911700e-08,2.21692488865191500780e-08] 
dist 190=[-.97745359307891149693,1.1403304652215416670 ] 
dist 191=[-8.04894012669675377000e-08,9.48559041553002990550e-08] 
dist 192=[-.58430417114646782802,1.4235008799654931127 ] 
dist 193=[-1.77275858122610016550e-07,9.12763345751576414010e-08] 
dist 194=[-.41368101275332326016,1.4937838932047739651 ] 
dist 195=[-1.78310857087047111160e-07,9.01958703762856591410e-08] 
dist 196=[-.25271903746837690263,1.5347180553405791758 ] 
dist 197=[-1.09790399982545397260e-07,9.03450817925540836200e-08] 
dist 198=[-.19083167545257295437,1.5264971261132459430 ] 

8 phat 5 dirichlet min maxes function [2, 0, 0, 1, 1, 2, 0, 2] 
dist 0=[374.29282360541830947   ,374.29282360541830947   ] 
dist 1=[352.70931120643872609   ,378.64730313311790732   ] 
dist 2=[302.92903724477541136   ,374.29282360541830947   ] 
dist 3=[246.19691903883069756   ,345.27805612911110481   ] 
dist 4=[197.13277004908546657   ,293.05034529718490947   ] 
dist 5=[148.36537689069120693   ,222.07530298102823500   ] 
dist 6=[91.861130357510279137  ,213.15366219323600901   ] 
dist 7=[27.838696666658252961  ,123.00028897397350842   ] 
dist 8=[-22.893137444284290507  ,78.783582377669037291  ] 
dist 9=[-65.501752057218708666  ,6.6305498435370800077 ] 
dist 10=[-82.650680082932993461  ,3.0923986457812954663 ] 
dist 11=[-93.401281664191804528  ,9.7020491348772265084 ] 
dist 12=[-93.323478952232762156  ,17.362034651105112362  ] 
dist 13=[-77.534325243310923338  ,27.346434121131903044  ] 
dist 14=[-74.912565345361040679  ,39.840923638474619284  ] 
dist 15=[-6.1015327762324950535 ,52.271258605453895326  ] 
dist 16=[6.2530787404692855874 ,51.244640460599413268  ] 
dist 17=[30.180380155809339768  ,45.850793781345365755  ] 
dist 18=[20.140193586782956218  ,45.499252174750137181  ] 
dist 19=[-2.9260167050634282694 ,46.782768795949051255  ] 
dist 20=[-14.468984680501373802  ,46.439107983663481817  ] 
dist 21=[-25.059920344842185157  ,40.163921629977260842  ] 
dist 22=[-29.651130018414438360  ,34.844592559253508049  ] 
dist 23=[-33.183517943905095065  ,17.827126060502834959  ] 
dist 24=[-31.159661107015184395  ,7.2039217185580863019 ] 
dist 25=[-35.312444640212016210  ,-1.0834992965867384685 ] 
dist 26=[-37.279239624233701620  ,-.53837467041992177578] 
dist 27=[-18.324386356751360872  ,11.961307154580750571  ] 
dist 28=[-12.517707314687972733  ,19.939473576487057950  ] 
dist 29=[-7.4607534835388152426 ,26.951561928467601408  ] 
dist 30=[-7.1568777888613863890 ,26.601019221120744320  ] 
dist 31=[.26480793575662286836,13.847109998783808058  ] 
dist 32=[-4.2509228625934247045 ,5.6771484351086666933 ] 
dist 33=[3.8764496836837051739 ,12.095482837683764099  ] 
dist 34=[.37943221289961525894,5.8860299605480117967 ] 
dist 35=[-.05289751607630514925,5.0514478892948618704 ] 
dist 36=[-1.3953796241306803167 ,7.1823986754139814904 ] 
dist 37=[-2.3145335027451874528 ,3.8165747585286401857 ] 
dist 38=[-3.3307643644722082326 ,4.8741065500204218530 ] 
dist 39=[-5.7444395424854404274 ,.59204698986801612061] 
dist 40=[-5.5163147155258052994 ,5.7039838052085123860 ] 
dist 41=[-7.7819860556439004654 ,-.93698678285413377746] 
dist 42=[-7.6911612006475374818 ,4.0359800157575861317 ] 
dist 43=[-7.8661785989048421811 ,.78505608036936989827] 
dist 44=[-1.2339090669276769864 ,1.5706419654948668313 ] 
dist 45=[-7.6459430297052254694 ,2.0651374075520520104 ] 
dist 46=[-3.9705810097577336301 ,2.1936963095246105066 ] 
dist 47=[-6.8690171161065598676 ,5.9409962555476655509 ] 
dist 48=[-3.5772574303303951550 ,3.7044516288614444750 ] 
dist 49=[-1.7011640095678388949 ,8.6600037561523525304 ] 
dist 50=[-6.6687473950941132529 ,4.5931081429486267889 ] 
dist 51=[-.05923761420334056028,9.2007602018701546924 ] 
dist 52=[-2.8901802720743970896 ,3.3282234375064938062 ] 
dist 53=[-1.2791499844487542105 ,9.2517582490231225004 ] 
dist 54=[-4.5228591883413014934 ,5.6843008403304450966 ] 
dist 55=[-.5565766140468428763 ,3.9863249042046883522 ] 
dist 56=[-4.6472996105391720036 ,9.7199913056072781761 ] 
dist 57=[-5.0440320978802130015 ,-.14482252054517022963] 
dist 58=[-5.2581161493155069409 ,9.0845158607273471786 ] 
dist 59=[-3.2760217368140116897 ,.07632173668911290241] 
dist 60=[-.16159655305313892509,.5018577671075607072 ] 
dist 61=[-4.2185510794484345437 ,.21295837967715896702] 
dist 62=[-.11792269970263869823,.79917820299599350348] 
dist 63=[-4.2188593438405295667 ,.09051644294777638832] 
dist 64=[.05072513722028499153,.96208726703425554569] 
dist 65=[-3.7927500266762769997 ,.10102805445456466582] 
dist 66=[-.09282789450239568576,.49138132273713352517] 
dist 67=[-2.8967002597761331794 ,.08419377748226677062] 
dist 68=[-.32238534341041642828,.57100343381919925098] 
dist 69=[-2.2908108526236991221 ,.06498716586675379044] 
dist 70=[-.63899608849940640378,.3259165643282215934 ] 
dist 71=[-.05829407223645944301,3.0519728525901552108 ] 
dist 72=[-.68085885464341876802,.26730331085006027731] 
dist 73=[-.06233930738191167790,4.7580916306321216647 ] 
dist 74=[-.6201891093865488078 ,.30678030169927134708] 
dist 75=[-.01952177521711663621,5.7506373506462904473 ] 
dist 76=[-.47159084794140333347,.03841332704668328213] 
dist 77=[-.81413570663005514161,5.7279189032308750807 ] 
dist 78=[-.2392982771720366654 ,.65517773646756484569] 
dist 79=[-3.0638872520707656126 ,.01085776504569929364] 
dist 80=[-.17832008666989012683,.56388984392220292414] 
dist 81=[-4.3545305739252143838 ,.01207355983721560602] 
dist 82=[-.04227188704311992736,.65732596364677321921] 
dist 83=[-5.7383793450931420278 ,.01080233576218192937] 
dist 84=[-.47952187927916838484,.5361332593391190368 ] 
dist 85=[-5.9420736004478934416 ,.23475180029093427799] 
dist 86=[-.48991694698435285989,.68738503096787850992] 
dist 87=[-3.7223320945718274991 ,.96658992631798917581] 
dist 88=[-.68664033626898980251,.65392739723360054542] 
dist 89=[-2.3897718885394295472 ,2.5142264084780638842 ] 
dist 90=[-.72572685689729390368,.11943148968391737497] 
dist 91=[-.65351781030990638748,3.6254522950650974222 ] 
dist 92=[-.54139690021821280857,.11475319227301812529] 
dist 93=[-.00181592756991626429,3.9229238968130086751 ] 
dist 94=[-.70349033411726613974,.20937191262015683658] 
dist 95=[.00021575818686462694,.64467255727770075659] 
dist 96=[-.73853086356334273091,.155554456946191062  ] 
dist 97=[.00088568658883738836,.61336095146551053418] 
dist 98=[-.60657429527648262562,.200620918588933293  ] 
dist 99=[-.00011845744023727362,.45559380969449608863] 
dist 100=[-.50721452986716882514,.29037300383345856313] 
dist 101=[-.03556504086112861057,.389531815267996999  ] 
dist 102=[-.56405283721850108714,.56001453616012563139] 
dist 103=[-.37143977265309171613,.00013449521320116077] 
dist 104=[-.56709346732228175233,.50570647377919805526] 
dist 105=[-.50536938694562782419,.06357856640316376330] 
dist 106=[-.56421103392892337945,.31366147578745082331] 
dist 107=[-.6482930725501758127 ,4.7972993554038842348 ] 
dist 108=[-.00032039245079660029,.00039790400390324336] 
dist 109=[-.66142439604896781925,9.5482258225571337260 ] 
dist 110=[-.2020414944752390369 ,.34017230873846508179] 
dist 111=[-.13398248006148941569,8.7195670284778000479 ] 
dist 112=[-.41929077264114554195,.55209608538670459251] 
dist 113=[-.05025371602109207060,.7832927574222170516 ] 
dist 114=[-.4329903445450165801 ,.53931953405216565813] 
dist 115=[-3.7543321021605346286 ,6.0044849419486815824 ] 
dist 116=[-.26753077446711787279,.46731982001730514249] 
dist 117=[-1.7587350777389790722 ,8.0903220218349969630 ] 
dist 118=[-.23405686730478876274,.64785655852833736181] 
dist 119=[-7.3348978855162809125 ,9.5221858903713620747 ] 
dist 120=[-.29893086987267144059,1.0208816035830727411 ] 
dist 121=[-.22259859793412243606,.36315011347439170471] 
dist 122=[-.40037364998809924   ,.94892018698997833085] 
dist 123=[-9.3707303698218878449 ,.16816971613252769452] 
dist 124=[-2.97094910636407669540e-05,3.87843631250038624390e-05] 
dist 125=[-7.3963577912511831900 ,.22070494029591545111] 
dist 126=[7.40125892407885439490e-06,5.40782195232287142990e-05] 
dist 127=[-9.4009106022396495929 ,2.20898101799823583080e-05] 
dist 128=[1.75832312714703793650e-05,2.43694979676756590530e-05] 
dist 129=[-.4566305960729394946 ,.1855283958053765724 ] 
dist 130=[5.53162929082644221300e-06,2.25072598833635432200e-05] 
dist 131=[-.36697944897944459769,1.0973695217416402116 ] 
dist 132=[-6.69571175357449494620e-06,1.62079006462071764760e-05] 
dist 133=[-.33481462903274499819,4.5170791083104850766 ] 
dist 134=[-1.05405791215324265780e-05,-8.61703967087985566940e-07] 
dist 135=[-.19877903321514365963,4.5420497360634489834 ] 
dist 136=[-1.44751687935429943050e-05,-5.57161852849735249590e-06] 
dist 137=[-.21744723664011306055,.51380361180871679127] 
dist 138=[-7.00857405891711516220e-06,-1.27358891262149986160e-06] 
dist 139=[-.25693260014304022086,5.8778385468845605739 ] 
dist 140=[-3.75263500880207159830e-06,5.94396510934176009730e-06] 
dist 141=[-.30709928498122517584,3.6790472419436243993 ] 
dist 142=[1.17631394786407901540e-06,8.13295323382388471060e-06] 
dist 143=[-.53538114263280752922,5.2584554416490003068 ] 
dist 144=[1.98915019071938556470e-06,2.81806067580284860360e-06] 
dist 145=[-.6357220803615125324 ,.12563607666614538993] 
dist 146=[4.91723026984137497160e-07,2.60832767945626512200e-06] 
dist 147=[-2.9414634949970946086 ,2.1367600353652753159 ] 
dist 148=[-1.02096715626811056990e-06,1.87292703732005705630e-06] 
dist 149=[-3.8900644157614890858 ,.41373718562641157319] 
dist 150=[-1.58340885043061959780e-06,-3.17987982590775103470e-08] 
dist 151=[-4.0550747323286181723 ,.42350287500334660878] 
dist 152=[-2.16847055434245625780e-06,-6.54934484035610639970e-07] 
dist 153=[-.3226804637302694174 ,.44372292098840417798] 
dist 154=[-9.81524926274732704870e-07,-7.70352465960000000000e-09] 
dist 155=[-.30479749569841933018,5.2617961405383966359 ] 
dist 156=[-4.43351523975762463880e-07,7.18161498673969383830e-07] 
dist 157=[-.35860902594454037213,5.4409181647990116739 ] 
dist 158=[0                     ,9.40597307369574994850e-07] 
dist 159=[-.28443029406738618131,5.9317436938539122112 ] 
dist 160=[2.63550686482068804700e-07,3.69883218999589748350e-07] 
dist 161=[-.24863899128468965089,.21239251149716749969] 
dist 162=[8.16976567117641264740e-08,1.0384849858350479544 ] 
dist 163=[-4.8990082237974036096 ,2.2030002646302704545 ] 
dist 164=[-1.01691132736544051930e-07,1.2207713049914010428 ] 
dist 165=[-5.6228579911307131806 ,.45567680989880673946] 
dist 166=[-1.58469939360537578690e-07,1.2180721561196763933 ] 
dist 167=[-5.8181993631489105629 ,.46865345752903107829] 
dist 168=[-2.09336414489317010650e-07,.40506372823039006679] 
dist 169=[-.18452629935729607961,.17772861281770366773] 
dist 170=[-1.04479389431034464980e-07,.80500421378124722404] 
dist 171=[-6.01297814466242294920e-08,.33856024899799559346] 
dist 172=[-.20736529360954522743,.73430448555611127252] 
dist 173=[-.18129495171994378039,.31732006693800592727] 
dist 174=[-.21346120092188072854,.65141135275002822676] 
dist 175=[3.80290039185173373920e-08,.33808699015528207672] 
dist 176=[3.37641144124267265940e-08,4.38473965469945015350e-08] 
dist 177=[-.17345212218500926904,.13141410232773009131] 
dist 178=[-.26849623072873710306,.26398173800991874429] 
dist 179=[-.12357663141117335627,.13606668455005912701] 
dist 180=[-.46989948977061058137,.29398496274407012178] 
dist 181=[-.19795353676853081974,.03286859900900246355] 
dist 182=[-.48280839929965473395,.35779399277324561094] 
dist 183=[-.2506131498192214192 ,.09128318593890048306] 
dist 184=[-.83550551262195443535,-9.60910505263396301580e-09] 
dist 185=[-.16629896516029918314,.26828073228484118764] 
dist 186=[-.89069290426186606676,.46453832553206490553] 
dist 187=[-.33132182792434995159,.58580378377597693615] 
dist 188=[-.82493841535238467547,.5403728504529593003 ] 
dist 189=[-.27734551024551674134,.63382980422341962306] 
dist 190=[-.8563502071398653759 ,.6608376842746061145 ] 
dist 191=[-.34600731873784835175,.82495488305867915663] 
dist 192=[-1.42106154770087286480e-09,1.10752878142742536930e-08] 
dist 193=[-.23242484384856681147,.43463084629705372011] 
dist 194=[-.02814398619841145932,.39260084916560569757] 
dist 195=[-.49975594143938603651,.50208528885509384143] 
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dist 197=[-.57740816512109299168,.5560696678033936644 ] 
dist 198=[-5.66047203196964963230e-09,.43103211052415704709] 
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dist 200=[-5.76773334491699794010e-09,.5322188519759184574 ] 
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dist 203=[-.30226282315216929136,.6355421883210276542 ] 
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dist 210=[-.27242832727136810881,3.27847671804302159250e-09] 
dist 211=[-.64285756056195356413,.46595665552811522114] 
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dist 213=[-.68149975292717622555,.64603482814723901859] 
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dist 216=[-6.31684834787786806570e-09,.24675836201612068978] 
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dist 230=[-3.70738898741541298510e-09,.20892753272613140666] 
dist 231=[-.47572495641868906332,.43213957981533250226] 

8 phat 5 dirichlet min maxes function [1, 0, 1, 1, 0, 2, 0, 1] 
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dist 9=[-39.807054622883848722  ,27.262611527579342992  ] 
dist 10=[-51.719112135353148748  ,4.8489796492051476796 ] 
dist 11=[-72.323031701059207196  ,5.9524002282204166380 ] 
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dist 14=[-83.694670465217808080  ,34.068461522077476065  ] 
dist 15=[-66.790809048151498304  ,43.194716393599865116  ] 
dist 16=[-63.675984300124657176  ,44.746474020920810789  ] 
dist 17=[-1.2855710123876478489 ,39.903410885171973401  ] 
dist 18=[7.3405184376487942012 ,39.124614762143372379  ] 
dist 19=[-.32588054509699021094,36.282606611769171174  ] 
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dist 21=[-18.067100981693978180  ,41.125988958545451830  ] 
dist 22=[-21.986776989488396551  ,39.882870188395537385  ] 
dist 23=[-24.022627699769955371  ,31.093852604312545424  ] 
dist 24=[-25.426887005789566964  ,28.681043719744943292  ] 
dist 25=[-21.812994388099636809  ,4.4601101732894202986 ] 
dist 26=[-21.489016801904366938  ,.37305306714591878613] 
dist 27=[-25.807620542670996093  ,7.6760740217123736312 ] 
dist 28=[-27.220185741160720663  ,13.060996654639784570  ] 
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dist 30=[-9.4718791814228320321 ,20.062599172350901204  ] 
dist 31=[-7.5548088300681763046 ,5.7857267318226448431 ] 
dist 32=[-7.1161936296412272295 ,5.5435145294984877978 ] 
dist 33=[.29300327774532498411,4.7499712932859890407 ] 
dist 34=[.73711132047054440393,4.5342671424985842507 ] 
dist 35=[-.89727576867940944864,4.2469281632847489123 ] 
dist 36=[-1.9230974260805851462 ,4.7999607542976129305 ] 
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dist 38=[-3.2503881454623191561 ,4.6919005087111044809 ] 
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dist 40=[-3.0490135608401740403 ,3.4188936318549233414 ] 
dist 41=[-2.5478672509440703808 ,.60825226300848062823] 
dist 42=[-2.6936725129827979131 ,.06592370903920719680] 
dist 43=[-3.5847603220479142045 ,.66748843119468294861] 
dist 44=[-3.7346007341868169412 ,1.3773318626526191301 ] 
dist 45=[-1.1504708676920370376 ,1.8857392700171163422 ] 
dist 46=[-1.1475690727819563114 ,1.9953086917705370409 ] 
dist 47=[-.93378834565351518303,.78074835557628153554] 
dist 48=[-1.0781273107177193595 ,.69904395412395153441] 
dist 49=[-.86576666798460692813,.60463781564963178547] 
dist 50=[-.84844400141188270576,.5799641558066922035 ] 
dist 51=[-.38875853935070283442,.72929750960743076907] 
dist 52=[-.33347992417074810483,.83002181668071899026] 
dist 53=[-.35271192523447096468,1.2799730346722713684 ] 
dist 54=[-.39981295119404996472,1.2754420039019019576 ] 
dist 55=[-.40411094418079862293,.54827642965530693057] 
dist 56=[-1.2540250876084120236 ,.45774799144050211422] 
dist 57=[-2.1314428977323493366 ,.29546642954085475286] 
dist 58=[-2.2530552963716704790 ,.33355409753251182829] 
dist 59=[-1.5231730165961040433 ,2.8053952749059594784 ] 
dist 60=[-1.3295010668360538763 ,2.3580114841428978944 ] 
dist 61=[-1.7535502160064015123 ,3.9234136423482691860 ] 
dist 62=[-1.8908902325248340786 ,2.4401229345821786996 ] 
dist 63=[-.10713172439203874403,.12697114397180782272] 
dist 64=[-.16706995402006634453,1.4530690796574744042 ] 
dist 65=[-.00393404709100192853,1.6779721939946609524 ] 
dist 66=[-.05740570470235177162,1.6801703459942379493 ] 
dist 67=[-.01862653043108427335,.43293210017230969385] 
dist 68=[-1.5162722704578674676 ,.50476430377172421236] 
dist 69=[-1.9353065196479820480 ,.17691504582453919568] 
dist 70=[-1.9472250308740723805 ,.1435609648079186779 ] 
dist 71=[-.05830192872286700408,.05634065710627596064] 
dist 72=[-1.9126591359079651966 ,.42546903519610206338] 
dist 73=[-1.8675220482248475217 ,.1900709715308744482 ] 
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dist 75=[-1.8152576027001849517 ,2.3844734937438106925 ] 
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dist 77=[-1.8734003195551981843 ,3.8116823869163842515 ] 
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dist 79=[-.08407945402004173226,.07093995707637341178] 
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dist 100=[-.06808344887293090571,.00160147744393897351] 
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dist 102=[-.06219630963455420149,.00144165118267094092] 
dist 103=[-.06796280822453465340,.04155076778129041933] 
dist 104=[-.09895436372024383224,.00105968883678355940] 
dist 105=[-.07698592644549768875,.02479325484976180012] 
dist 106=[-.08272610150264538899,.00026351704799600144] 
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dist 108=[-.09118675009169648759,.00046846214458049795] 
dist 109=[-.07316451797437103085,.01864645056800804537] 
dist 110=[-.00095536254958909429,.00062517834308300815] 
dist 111=[-.03509364621530072875,.05325564282348431457] 
dist 112=[-.01675301461350623645,.08091830152549817418] 
dist 113=[-.04314688733619154439,.05268268990437055565] 
dist 114=[-.03755860688879587068,.08080513799683131043] 
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dist 118=[-.03086886065254291849,.01899067974557472009] 
dist 119=[-.04725261201482579055,.02455349326580980088] 
dist 120=[-.04336258615854144053,.02774880789818598947] 
dist 121=[-.04693177601617398264,.04370086865182393481] 
dist 122=[-.04957080080031007268,.03736514101891689264] 
dist 123=[-.04923418961517149447,.02459378423739134629] 
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dist 128=[-2.00355460268386033810e-05,1.50026991963476437780e-05] 
dist 129=[-.05270323590315307313,.05119817627891798409] 
dist 130=[2.00275727757946372720e-06,1.06741046119490172210e-05] 
dist 131=[-.04533465584677964299,.05196688022880163115] 
dist 132=[-8.98356258277192548260e-06,1.53166722685745035000e-05] 
dist 133=[-.04214536710711002952,.04370339813998509591] 
dist 134=[-1.23181573233964682760e-05,1.45461471031707987210e-05] 
dist 135=[-.00833752309938362569,.04302217284754937869] 
dist 136=[-3.49475999227758607980e-06,9.98898265361731522580e-06] 
dist 137=[-.00092925843888881483,.04964770381569961795] 
dist 138=[-8.53099120542699829530e-06,2.59231313753490334120e-07] 
dist 139=[-1.11292164925451159850e-05,.05435003633739666080] 
dist 140=[-1.18973691644409405910e-05,1.34846360540052475000e-06] 
dist 141=[-.04162417298390633335,.05667687328580464484] 
dist 142=[-3.27217009929558558230e-06,2.05437263970947131830e-06] 
dist 143=[-.04188785053209316508,.06536716854919997370] 
dist 144=[-2.31992864246494939020e-06,1.93084017438579658090e-06] 
dist 145=[-.04548592111755661797,.06721557299555126329] 
dist 146=[2.49189776903410977930e-07,1.36354332464290558770e-06] 
dist 147=[-.04604211587536772028,.06534698584051800793] 
dist 148=[-8.75306896716764639410e-07,1.93559790989226892480e-06] 
dist 149=[-.04284832075980250045,.06432040280958832611] 
dist 150=[-1.21898494974937897480e-06,1.78654258908793166990e-06] 
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dist 156=[-1.14533109587795697610e-06,1.53052252776353742410e-07] 
dist 157=[-.05979482503081317839,.06271709975578300823] 
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dist 160=[-2.91195949010245095780e-07,2.51938502142801578970e-07] 
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dist 248=[-2.06123171050846433560e-09,2.39769954771693766020e-09] 
dist 249=[-.09833472019624669909,.04730436944573107827] 
dist 250=[-2.25221001133421250970e-09,.00980363409711314943] 
dist 251=[-.09439421453531803064,.04797854895845536981] 

8 phat 5 dirichlet min maxes function [0, 2, 0, 0, 0, 0, 0, 2] 
dist 0=[406.63003978384841071   ,406.63003978384841071   ] 
dist 1=[368.44282734603380074   ,420.49819115303740226   ] 
dist 2=[292.14900158194993250   ,418.24336287070906961   ] 
dist 3=[209.39384178998871870   ,381.15100328487244609   ] 
dist 4=[145.64943948309826692   ,333.72503662753732819   ] 
dist 5=[89.785715828047455198  ,251.61068239798775235   ] 
dist 6=[36.499367876506772655  ,239.50682027614892076   ] 
dist 7=[-7.8320937185013086071 ,111.53189117053884866   ] 
dist 8=[-30.012004571292727084  ,78.785844137804011372  ] 
dist 9=[-73.191990413006792636  ,-25.832200924213262642  ] 
dist 10=[-92.216480417868454750  ,-11.652942933559355413  ] 
dist 11=[-100.46260417828267827   ,6.1152221107537296809 ] 
dist 12=[-98.579593874072159944  ,18.102870746897087930  ] 
dist 13=[-84.321574448905418331  ,25.387486686605267238  ] 
dist 14=[-75.905164487668631143  ,25.889957605550781314  ] 
dist 15=[-17.567476891491311822  ,22.242601029301516633  ] 
dist 16=[-6.0557772350251216094 ,49.171317339556328056  ] 
dist 17=[3.3434399720951527001 ,66.241277617559150230  ] 
dist 18=[2.9310383158533025992 ,70.677315371169033766  ] 
dist 19=[1.8911172003906055110 ,23.325578456297320196  ] 
dist 20=[.72163462571294105057,22.579748984721825667  ] 
dist 21=[-.49369797395194724988,18.775627072987864434  ] 
dist 22=[-3.6043904674169425154 ,17.263140211540612250  ] 
dist 23=[-8.5585413960491464039 ,1.9371846119795938275 ] 
dist 24=[-11.528327962720864991  ,-.56319783787874809056] 
dist 25=[-13.066622196578556281  ,-1.0178480899244227224 ] 
dist 26=[-12.755069827457547185  ,-.39507043809182128518] 
dist 27=[-12.047129265956799112  ,1.2997906853120644906 ] 
dist 28=[-11.744269701854510320  ,2.7128829350889014545 ] 
dist 29=[-9.1932455247880099035 ,3.0524443809069995030 ] 
dist 30=[-8.5952499968128719844 ,7.3222130251430197597 ] 
dist 31=[-1.2507965216928946080 ,9.1447690186635373700 ] 
dist 32=[.04775257968871993625,11.802217036062917530  ] 
dist 33=[.80978833907946872904,8.3729692051158054032 ] 
dist 34=[-.13783039572530200315,7.1257831730356359147 ] 
dist 35=[.14308901428132701058,2.7919273437049080765 ] 
dist 36=[-1.2889392598190488635 ,2.7398428887648845620 ] 
dist 37=[-.31656559386477849024,2.1362952301164289053 ] 
dist 38=[-1.9458646458675276723 ,2.0456183480392434440 ] 
dist 39=[-1.5520427845349434231 ,-.1447074562844934625 ] 
dist 40=[-3.0367295000595928776 ,-.47092511447405341096] 
dist 41=[-2.8642995481137153578 ,-.35203139627375747064] 
dist 42=[-3.6306499432377937696 ,-.11975674094003716686] 
dist 43=[-3.2277598457693882506 ,.12160773036376559298] 
dist 44=[-2.9401358276007695757 ,.27577396065018114228] 
dist 45=[-3.1868353827987971486 ,.46045641115184739293] 
dist 46=[-1.8217656472462322505 ,.93976893156726307701] 
dist 47=[-2.2176767846649917051 ,1.2419932472092067296 ] 
dist 48=[-1.4007853826174234199 ,1.3205445735761622070 ] 
dist 49=[-1.5837515109988338840 ,1.0322342371030214654 ] 
dist 50=[-.30605513895655416914,1.3392612003336021439 ] 
dist 51=[-1.1234973415617759329 ,.64254887302979949106] 
dist 52=[-1.4926370176626426850 ,1.5009324154903221465 ] 
dist 53=[-.997323050070518193  ,1.0648538670322219462 ] 
dist 54=[-1.7022339105197694244 ,1.5630864342429264560 ] 
dist 55=[-1.0041607702799503030 ,1.1461169091415811992 ] 
dist 56=[-1.7471359141337488771 ,.88200152028532991357] 
dist 57=[-1.0431983707528038191 ,1.1378579321233524657 ] 
dist 58=[-.81247151388071684176,1.6437425283106981058 ] 
dist 59=[-.59955323380286731633,1.1758293152473157819 ] 
dist 60=[-.79606139305037404407,1.5570774957516305947 ] 
dist 61=[-.43395111201685183249,1.4936720862832210534 ] 
dist 62=[-.79709334969163266108,1.5496002800223488897 ] 
dist 63=[-.17656230109009954336,1.6769476382816847662 ] 
dist 64=[-.10718477024040639453,1.6450246387428500601 ] 
dist 65=[-.04757402871452193283,1.7120642804778499883 ] 
dist 66=[0                     ,.68030127775160686293] 
dist 67=[-.00045932447347126860,1.6188847152322167473 ] 
dist 68=[-.00532925402389067411,.69093247837963299054] 
dist 69=[-.00863780255010090397,1.5343446391876948866 ] 
dist 70=[-.27567042298694619624,1.3259823111095605158 ] 
dist 71=[-.02484047366492875125,1.5143111649349765654 ] 
dist 72=[-.02793568200957035708,1.2668769905879984649 ] 
dist 73=[-.02809115518466961476,1.5120146985836248437 ] 
dist 74=[-.02717609991444801539,1.7176770598275512121 ] 
dist 75=[-.02197809333628114093,1.6257008408535756635 ] 
dist 76=[-.02047727611483232399,1.7586429110964717157 ] 
dist 77=[-.60508525256040491018,1.6477476963118043218 ] 
dist 78=[-.10577622512461909378,1.8188135908381925291 ] 
dist 79=[-1.2100149842238318509 ,1.6143393323549441509 ] 
dist 80=[-.73292960411338365661,1.4861273836588504697 ] 
dist 81=[-2.1973515778796694988 ,1.4153345874203764146 ] 
dist 82=[-1.5648062924057540842 ,1.5191864755387049722 ] 
dist 83=[-2.5647235519182448425 ,1.2608777626150959600 ] 
dist 84=[-1.8410278051845725804 ,.00486544334994072379] 
dist 85=[-3.0726214431132392336 ,1.2202073960412119865 ] 
dist 86=[-2.9383989637517663550 ,1.7143541041933879587 ] 
dist 87=[-3.1334929273620228493 ,1.2436081134328128331 ] 
dist 88=[-3.3162610680253138022 ,1.7053813424401142691 ] 
dist 89=[-3.3313486765814438387 ,1.3894139694615482299 ] 
dist 90=[-3.4134740305149595149 ,1.6270816514321721052 ] 
dist 91=[-3.1451420769665561277 ,1.3590934507392787087 ] 
dist 92=[-3.3713050159135884912 ,1.6142568134791947117 ] 
dist 93=[-3.0453739150442004697 ,1.4379518771879935256 ] 
dist 94=[-3.3285844759492727075 ,1.6280479524691213646 ] 
dist 95=[-2.9750551560090452203 ,1.4078631938493713214 ] 
dist 96=[-3.2015610889909892648 ,1.6358718192178214786 ] 
dist 97=[-.04555565110828729541,1.5274173148451048503 ] 
dist 98=[-3.1378102358473183414 ,1.5440360963645741263 ] 
dist 99=[-2.20251514008481689360e-05,.82552113287881837918] 
dist 100=[-1.1845403600852493844 ,.39217539029035663996] 
dist 101=[-.00014929938393798841,1.6298157160439775327 ] 
dist 102=[-1.1704582628288236881 ,.65689382435358328991] 
dist 103=[-.00043301355661403979,2.0958174921311156685 ] 
dist 104=[-1.3837979663182471525 ,1.3991725018220685187 ] 
dist 105=[-.00046594694024037818,2.7365419011452289016 ] 
dist 106=[-1.5306190470661864406 ,1.9629221803407627883 ] 
dist 107=[-.00036376282253823361,3.2152851791082846497 ] 
dist 108=[-2.1136083619303341923 ,2.7386790779554929862 ] 
dist 109=[-.00026189142786425084,3.4740253617810406505 ] 
dist 110=[-2.0768533744422627458 ,3.0670263021881085614 ] 
dist 111=[-7.09694794791175181820e-06,3.4689686636474329620 ] 
dist 112=[3.37429002736601441050e-05,3.3264023671739162584 ] 
dist 113=[-.20191940113887057072,3.4166792754823194841 ] 
dist 114=[-1.6031119500396151578 ,3.3189334103789380872 ] 
dist 115=[-.97774916592446683459,9.78840836155136659350e-05] 
dist 116=[-1.6509171955454148234 ,1.7197266919835424545 ] 
dist 117=[-1.4123901492956031121 ,7.75947779712226242570e-05] 
dist 118=[-1.6971694680057498191 ,1.8375514672149484769 ] 
dist 119=[-1.9871930935198690481 ,2.67944131495302989350e-05] 
dist 120=[-1.6955975339871031431 ,1.4585371161014470769 ] 
dist 121=[-2.3939004765483131866 ,2.27434761646986239550e-06] 
dist 122=[-2.0475146135271658758 ,1.7087873817447774637 ] 
dist 123=[-2.8573761396350509506 ,4.48621657328839529340e-06] 
dist 124=[-1.7981410544672859014 ,1.7628105265149807874 ] 
dist 125=[-3.0320348998348809484 ,1.20585455554740623360e-05] 
dist 126=[-2.8825880969101002450 ,1.7218053899416148603 ] 
dist 127=[-3.1289535447105122892 ,2.06748386556133539020e-05] 
dist 128=[4.40729614293354343820e-06,2.26985519705756190150e-05] 
dist 129=[3.28884290794424639960e-06,2.21571370290075030150e-05] 
dist 130=[-.6375621159092148567 ,2.14231262160374325480e-05] 
dist 131=[-4.37950969024175777070e-07,1.60517902205021382080e-05] 
dist 132=[-6.0174112656192917535 ,.49041937395215973258] 
dist 133=[-2.38020261790972274490e-06,-2.14189599980077483880e-06] 
dist 134=[-6.0684481785444314633 ,.48850690500024107062] 
dist 135=[-1.05288201699245835570e-05,-2.53882881728794751490e-06] 
dist 136=[-5.9967427700382416308 ,.27559106488779136851] 
dist 137=[-1.12023064447254871020e-05,-1.44541557012145225400e-06] 
dist 138=[-3.2980168904118158115 ,.4285958330542840597 ] 
dist 139=[-8.51134316717896996820e-06,7.83964792412576691320e-07] 
dist 140=[-3.0582169120949129939 ,.53125255879146407692] 
dist 141=[-1.15236705414513989430e-06,3.44058117854796163160e-06] 
dist 142=[-3.3796353306089621083 ,.73367019851092059703] 
dist 143=[5.90874338670860311500e-07,8.35348737156041838670e-06] 
dist 144=[-3.3016484006163592653 ,8.84434769416815610790e-06] 
dist 145=[3.72698321650410731630e-07,2.58816787003011159130e-06] 
dist 146=[-1.6202891351517990843 ,2.7799136007284415352 ] 
dist 147=[-7.86836650629985993870e-08,1.88708120364869203870e-06] 
dist 148=[-2.0429995567402070419 ,4.4123256809077069065 ] 
dist 149=[-3.58688465171992517950e-07,-1.58288031214023543860e-07] 
dist 150=[-2.1470253595167027090 ,4.6603095647952451562 ] 
dist 151=[-1.36479977600403433060e-06,-2.65957193659105791460e-07] 
dist 152=[-1.7157157416307067960 ,5.1029647189614429542 ] 
dist 153=[-1.42963873695714080480e-06,-1.53439192970941012360e-07] 
dist 154=[-2.2637085234841229614 ,3.2793244377593262202 ] 
dist 155=[-1.04421238847617812440e-06,7.50290120827859977570e-08] 
dist 156=[-2.2474801921794568231 ,5.0757912856592415310 ] 
dist 157=[-7.81636499499835096100e-08,3.18931152585232251210e-07] 
dist 158=[-2.8270169781042980414 ,4.4263027108937270717 ] 
dist 159=[7.10979951428971734900e-08,8.20375912831902647870e-07] 
dist 160=[-3.4884405316096389296 ,4.2774096454789996725 ] 
dist 161=[4.53583431442593781560e-08,3.26582556053368521260e-07] 
dist 162=[-.15165834698156870441,2.7690372925897472836 ] 
dist 163=[-9.31527239302404604070e-09,2.35143139743760140640e-07] 
dist 164=[-3.4190598242748796650 ,3.2387948045859481457 ] 
dist 165=[-3.83207144204873639820e-08,-3.23017385232176374880e-08] 
dist 166=[-4.2347484769259161842 ,3.2381599072029236577 ] 
dist 167=[-1.56787049149832525360e-07,-3.43635866949423558690e-08] 
dist 168=[-4.3938175182877527951 ,2.7271716449699397989 ] 
dist 169=[-1.65594570606695720310e-07,-1.87307513847460367200e-08] 
dist 170=[-4.5320513988824837778 ,3.1853906571372948187 ] 
dist 171=[-1.25444568933746645670e-07,1.35780799954881722040e-08] 
dist 172=[-4.5405117264399790028 ,3.0882429831109074086 ] 
dist 173=[-1.79374082650141099220e-08,5.21970041605085390060e-08] 
dist 174=[-4.7735198405738795113 ,2.9400790997715425970 ] 
dist 175=[5.08410973214836412120e-09,1.24507179247759892360e-07] 
dist 176=[-4.7211577871717627685 ,1.31730368298949301160e-07] 
dist 177=[2.88346806635505804870e-09,3.78721108898064455310e-08] 
dist 178=[-3.4215675745092915748 ,1.7536225127764882927 ] 
dist 179=[-3.10272618715286843420e-09,2.72153844368546086580e-08] 
dist 180=[-3.2356638887163121188 ,1.6596848655243359783 ] 
dist 181=[-7.93362111590634271480e-09,-9.15662139239926183790e-10] 
dist 182=[-3.1422927589162428103 ,3.0330935824796250717 ] 
dist 183=[-2.02198170023307771910e-08,-1.08412149131997831290e-09] 
dist 184=[-1.9058483368485591445 ,3.2612801417667499699 ] 
dist 185=[-2.10273375435348501580e-08,-6.53437743227035397550e-10] 
dist 186=[-2.9722963693526610824 ,4.2980375025619053325 ] 
dist 187=[-1.52688437840427205280e-08,2.93378471215307280510e-09] 
dist 188=[-3.3000317647563871561 ,4.6129496295392827249 ] 
dist 189=[-1.18121974351820580220e-09,5.37819587777767484150e-09] 
dist 190=[-3.3896521917693820814 ,4.7796647689223951662 ] 
dist 191=[-.16749937354890053594,1.17287570918610202790e-08] 
dist 192=[-.03857934764532436787,4.7581212398685633597 ] 
dist 193=[1.86535200949118520370e-09,1.7129966550137274388 ] 
dist 194=[9.63057520581873133490e-11,5.76094967635093171510e-09] 
dist 195=[-.24257561325196008717,1.0044736189295061362 ] 
dist 196=[-2.79573978812234497280e-09,2.4516581090591260196 ] 
dist 197=[-3.48495037347951074210e-09,1.3287217994810019157 ] 
dist 198=[-3.67645438581966816150e-09,2.6405964296592814672 ] 
dist 199=[-.46530849496513451061,.25219736223339002964] 
dist 200=[-4.95173654713757806440e-09,2.7489998875025363973 ] 
dist 201=[-4.78337880964759529640e-09,1.5886957642234354813 ] 
dist 202=[-4.11054920667881949820e-09,2.3158168031420590056 ] 
dist 203=[-.34845269633849480524,1.6657037517444854273 ] 
dist 204=[-3.23668840285151351160e-09,2.2076592160542699505 ] 
dist 205=[-2.14260457654953131350e-09,1.5684502409037767567 ] 
dist 206=[-2.18382534655601866720e-09,1.9616811937491986792 ] 
dist 207=[-1.1923900969614041771 ,1.2639002368088731782 ] 
dist 208=[-.30595171448612564461,2.2001284390830477897 ] 
dist 209=[-1.8241701720551548191 ,2.1895068923308407216 ] 
dist 210=[-1.04107860987442851290e-09,3.81995365665843121840e-09] 
dist 211=[-1.5084020906916187864 ,2.4956699036333368467 ] 
dist 212=[-2.9048436565113152603 ,1.2693227879323820247 ] 
dist 213=[-1.5598254465514563195 ,2.4854114460375225629 ] 
dist 214=[-3.0590089155277964432 ,1.6514835772351819312 ] 
dist 215=[-1.3970075392495231662 ,1.5574596326615978836 ] 
dist 216=[-3.2580028887655099100 ,1.6806417504808998043 ] 
dist 217=[-2.3274524092124568970 ,2.1452938097716028549 ] 
dist 218=[-2.4747628811514256659 ,.53768238554226307925] 
dist 219=[-2.3515101656908439927 ,2.0311297236843542739 ] 
dist 220=[-3.1482359131430724218 ,2.1035256021290183767 ] 
dist 221=[-2.5902242797055985316 ,1.8544693013805669702 ] 
dist 222=[-2.8311470700964852233 ,2.3258143385044530684 ] 
dist 223=[-.6085414731256488475 ,.45766955837249068381] 
dist 224=[-2.7785904024601844150 ,2.5496705993561113833 ] 
dist 225=[-3.42272263682395501540e-09,.78480574144988680833] 
dist 226=[-3.09120631858261755050e-09,2.05471922465784599800e-09] 
dist 227=[-.25144747465352558919,1.0727124003147930455 ] 
dist 228=[-2.30161003602801338850e-09,1.5481389680378927357 ] 
dist 229=[-1.75710285098164973560e-09,1.2390383986134442992 ] 
dist 230=[-2.40371452949115803800e-09,1.9421512549037775562 ] 
dist 231=[-.13168433339072218534,.58478559844699171237] 
dist 232=[-2.94710434108916656240e-09,2.0307093200002123889 ] 
dist 233=[-2.84807756522059818160e-09,2.0347604162534289513 ] 
dist 234=[-2.46598174966409811890e-09,2.8171711759109390837 ] 
dist 235=[-2.07770050214254806690e-09,2.1321651145689873862 ] 
dist 236=[-2.27857611439244341550e-09,2.8315164272027456596 ] 
dist 237=[-4.15270753452263641000e-09,2.1935242793479323485 ] 
dist 238=[-4.87497070887381998190e-09,3.0104436847465221826 ] 
dist 239=[-.65020865384543426531,1.8083384190518907300 ] 
dist 240=[-5.66109391696528864450e-09,3.1336348285269714874 ] 
dist 241=[-2.6590281154100384536 ,4.40781818399157253220e-09] 
dist 242=[-2.23713090449009219910e-09,4.09073526431942601770e-09] 
dist 243=[-2.5318071733780040230 ,3.06392091180338835380e-09] 
dist 244=[-1.9264358999330042825 ,1.1535857122589118519 ] 
dist 245=[-2.7717333616301383953 ,1.33705989262257370460e-09] 
dist 246=[-2.5229245204380512420 ,1.4383944778121857681 ] 
dist 247=[-1.2499459839745472685 ,2.22779962615247707780e-09] 
dist 248=[-2.6363906385902493644 ,1.4539019223431090885 ] 
dist 249=[-2.5096320841776116009 ,2.30876957670423595330e-09] 
dist 250=[-2.9744388139003607832 ,1.1036176130191168897 ] 
dist 251=[-2.1315737447187440903 ,1.93451062489550952930e-09] 
dist 252=[-2.9890307282150422175 ,1.4083619579908403195 ] 
dist 253=[-2.0271524744719380314 ,1.74400684186817980740e-09] 
dist 254=[-3.0472132056774012492 ,1.3652981900058536190 ] 
dist 255=[-1.4074904014619063567 ,1.92525335518141595370e-09] 

8 phat 5 dirichlet min maxes function [2, 1, 2, 1, 1, 0, 2, 0, 1] 
dist 0=[357.14336134574651835   ,357.14336134574651835   ] 
dist 1=[345.93131282072541366   ,362.17842076598506254   ] 
dist 2=[313.34618043049138405   ,361.08033390753091861   ] 
dist 3=[256.13389254456302381   ,352.60660225691110659   ] 
dist 4=[184.14043270937529337   ,273.93820752045779469   ] 
dist 5=[124.73630323390189129   ,254.36449320171976064   ] 
dist 6=[68.596693173858130828  ,194.47251346996960376   ] 
dist 7=[8.1522620397856758476 ,175.22872884273360454   ] 
dist 8=[-42.986022355469377087  ,51.177903298718384725  ] 
dist 9=[-63.316016691478276094  ,21.173609672569069152  ] 
dist 10=[-71.045897452719888032  ,14.069176978845612477  ] 
dist 11=[-76.738448775116300294  ,8.8209101921756554820 ] 
dist 12=[-86.435886819074226121  ,10.805699126645615880  ] 
dist 13=[-87.927175100263476416  ,16.245771566423522147  ] 
dist 14=[-72.707774167807838874  ,26.059976741327166269  ] 
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dist 129=[6.72060554087602664420e-06,1.90959317237372019150e-05] 
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dist 156=[-.48650305113674144459,.3168436250562588239 ] 
dist 157=[-4.34244705427391526650e-07,2.30069397076759482320e-07] 
dist 158=[-.50224064124798913464,.24615597976163960435] 
dist 159=[-3.06233817569541708020e-07,3.36796635412540551940e-07] 
dist 160=[-.3405759465638157216 ,.2390242024772096821 ] 
dist 161=[1.00241134649498125840e-07,3.14954117761891339150e-07] 
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dist 163=[2.00753080360000000000e-09,2.33138048734598913680e-07] 
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dist 166=[-.61194094609789483091,.26777157786183364876] 
dist 167=[-2.13649004908817452470e-07,1.53132525808731137570e-07] 
dist 168=[-.32908465020782039032,.0884671231476870262 ] 
dist 169=[-1.31862364128806525870e-07,-1.37253701514314213500e-09] 
dist 170=[-.32348113912203858174,.13473034485864868109] 
dist 171=[-1.79946096592729588040e-07,-1.81046263661435442370e-08] 
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dist 177=[5.39549564912130182010e-09,3.31447282510891708970e-08] 
dist 178=[-.20522646573332002447,.27677431889542316926] 
dist 179=[4.52032228022302382900e-09,3.24615029232298560840e-08] 
dist 180=[-.16477414521921706779,.23605854738720529603] 
dist 181=[-1.91260435415972438390e-08,2.85227970326593586090e-08] 
dist 182=[-.163959361790916859  ,.21225054609592802799] 
dist 183=[-2.62936868550374654990e-08,1.92396902434254977700e-08] 
dist 184=[-.16506390311558852562,.18666820357755474658] 
dist 185=[-1.25370327507721259470e-08,6.58598166469325717810e-10] 
dist 186=[-.16522639526067696015,.1694534850511957346 ] 
dist 187=[-1.90944515239884763840e-08,-2.02655428454487559530e-09] 
dist 188=[-.15225908498087368004,.22186222791225389185] 
dist 189=[-6.72505717616842350880e-09,3.27633481079536308290e-09] 
dist 190=[-.15553072401825865642,.26290499302253102633] 
dist 191=[-4.73592432060672170010e-09,4.97058843226916826060e-09] 
dist 192=[-.14261281642647926659,.32029342682050126924] 
dist 193=[1.20539044614566376280e-09,4.63720897193830014660e-09] 
dist 194=[-.13788056297786420401,.34811536070484774202] 
dist 195=[4.44506190841559796310e-10,3.80842561345885517440e-09] 
dist 196=[-.11095513925512380097,.36441439183709667832] 
dist 197=[-2.26796527370115159780e-09,3.54417083775335955340e-09] 
dist 198=[-.11000060685925457186,.36500892850410626621] 
dist 199=[-3.09246323070663162110e-09,2.49214050426385538100e-09] 
dist 200=[-.17274207886147809378,.17393196704954968985] 
dist 201=[-2.27009100878544683230e-09,8.84576188787479846920e-11] 
dist 202=[-.24596380184559409007,.16921741103784718255] 
dist 203=[-3.06100598561012315900e-09,-2.65700387227640727760e-11] 
dist 204=[-.30434662826927519996,.14768601089486404308] 
dist 205=[-2.84432609713901813970e-09,9.49314965612072068040e-10] 
dist 206=[-.32615331791624729118,.13133514905051109809] 
dist 207=[-1.99597938863115567870e-09,1.39139795257369566010e-09] 
dist 208=[-.34604165871089532723,.14687392800416041738] 
dist 209=[-4.16771602855438758020e-10,1.82672363058338146630e-09] 
dist 210=[-.35653081997647395951,.15860657507232811026] 
dist 211=[-8.33120115045312998410e-10,2.37288817649583004640e-09] 
dist 212=[-.35852679635227235241,.20122488305730193   ] 
dist 213=[-2.24200225702137280870e-09,2.20336148970068348150e-09] 
dist 214=[-.35418906500531560641,.19349104956343181643] 
dist 215=[-2.66938029997335391450e-09,1.70591074648428099430e-09] 
dist 216=[-.1455945781692151414 ,.19373902052617340331] 
dist 217=[-2.47956595829709883610e-09,6.18817650915803141280e-10] 
dist 218=[-.08772655459578234006,.19869415177805000977] 
dist 219=[-1.74339215906246922730e-09,5.84422080119453259630e-10] 
dist 220=[-.09282746561798252982,.16082533876955735446] 
dist 221=[-1.62447771632348758600e-09,5.42142398374392023380e-10] 
dist 222=[-.12416370175806873368,.17231846244133061304] 
dist 223=[-1.13595129303401951090e-09,4.11372296357417958490e-10] 
dist 224=[-.14746956700265081302,.17159619668780592378] 
dist 225=[-7.86684275696484071430e-10,9.73749613044716486640e-10] 
dist 226=[-.17133534555348333194,.1701578666040085172 ] 
dist 227=[-7.10535488781010186380e-10,1.33116805726343852720e-09] 
dist 228=[-.19327807020909220793,.17190156984634563258] 
dist 229=[-7.02029944198734985320e-10,1.23816361853597115500e-09] 
dist 230=[-.22269642012359667057,.17984250255155683277] 
dist 231=[-1.12612670150224882990e-09,1.42136386369833938080e-09] 
dist 232=[-.22859167348694680986,.1628300251610421335 ] 
dist 233=[-1.55025509344576267450e-09,1.92400235511766646440e-09] 
dist 234=[-.22800125940919243239,.16098741380535529257] 
dist 235=[-1.67867546031346408590e-09,2.25236262919854675240e-09] 
dist 236=[-.15273743472187356723,.15419172395562557791] 
dist 237=[-8.74261735679278340370e-10,2.09082543518968425990e-09] 
dist 238=[-.13001952176179023865,.14995968261097662745] 
dist 239=[-8.23844096724824030960e-10,1.46713324464313385780e-09] 
dist 240=[-.10244084239640498791,.1231679298877957645 ] 
dist 241=[-1.00796574180069102810e-09,9.12844664006203449770e-10] 
dist 242=[-.09346572807766958681,.13510477264168611643] 
dist 243=[-1.43663175614914927430e-09,1.03789746258974721290e-09] 
dist 244=[-.04548320969104994120,.14089405727675453773] 
dist 245=[-1.33335741194793719540e-09,1.59724708942182111950e-09] 
dist 246=[-.03294941364772380302,.16797926828218525481] 
dist 247=[-1.10373971085300112730e-09,1.91556663276371340870e-09] 
dist 248=[-.02055632618133581323,.17418323290787816683] 
dist 249=[-5.97913063680231085390e-10,1.77737380097543091060e-09] 
dist 250=[-.01348236539482330964,.17151479298362338132] 

8 phat 5 dirichlet min maxes function [2, 1, 2, 1, 2, 2, 0, 0, 1] 
dist 0=[344.21090566427840855   ,344.21090566427840855   ] 
dist 1=[302.60157137953660225   ,356.72720959850389039   ] 
dist 2=[250.68171070276297130   ,362.40442325564452708   ] 
dist 3=[205.11089436659355454   ,364.02908433014741205   ] 
dist 4=[159.54856052636098202   ,355.27999788434743897   ] 
dist 5=[106.60185684888968476   ,268.73633549639857302   ] 
dist 6=[57.686246546892488830  ,248.06426280936645997   ] 
dist 7=[27.506083214633743061  ,175.15054583136145102   ] 
dist 8=[-17.047837461193548748  ,164.35280457724778559   ] 
dist 9=[-40.282560845888381242  ,11.481576561483404490  ] 
dist 10=[-50.905338562485326076  ,6.4259549767146191610 ] 
dist 11=[-69.900190019338426995  ,4.8673660558075120271 ] 
dist 12=[-80.041660328044954863  ,3.1165005445499764305 ] 
dist 13=[-80.645462637532829292  ,1.8797170972936813724 ] 
dist 14=[-78.073258835836646660  ,7.1463231427934054381 ] 
dist 15=[-63.101418156428526219  ,18.209338360165848349  ] 
dist 16=[-56.940046787701560274  ,26.461861328341734462  ] 
dist 17=[-11.936642790158133405  ,28.349454785056195359  ] 
dist 18=[-3.1918503160515767414 ,41.109871647040443186  ] 
dist 19=[-.87256629483049870091,54.142061674948617541  ] 
dist 20=[1.1521565183569987751 ,57.481079676752212647  ] 
dist 21=[-5.0335085727014124084 ,17.015940460231627148  ] 
dist 22=[-10.931499521183898841  ,16.653176590030530748  ] 
dist 23=[-14.468822043031356507  ,13.634619027744023150  ] 
dist 24=[-16.311231056299963887  ,12.349941672577384275  ] 
dist 25=[-16.297655059918524809  ,9.5831717782766162188 ] 
dist 26=[-14.166660034698239438  ,3.3149221490052210410 ] 
dist 27=[-13.529535236716811906  ,1.8086532309303437455 ] 
dist 28=[-14.510656551231698743  ,4.8707312167292308230 ] 
dist 29=[-14.419096959521763994  ,9.3325773586486528796 ] 
dist 30=[-7.8446829326488275927 ,12.259417976559379134  ] 
dist 31=[-6.4952747913420478152 ,12.894459230984084496  ] 
dist 32=[-5.6830251685628423676 ,3.6212122531858167082 ] 
dist 33=[-1.1837755384063651437 ,3.6426902286095306982 ] 
dist 34=[-.06984798656044259210,4.4679801869996402693 ] 
dist 35=[.04413405922513112245,5.8410826961198687117 ] 
dist 36=[-.05540908003435523179,6.1951857722160851460 ] 
dist 37=[-1.0217286387665243948 ,1.9445355255297190677 ] 
dist 38=[-1.6341522773745198041 ,1.8100616427640736091 ] 
dist 39=[-1.9709297975424683680 ,1.4873947239041684472 ] 
dist 40=[-2.0337988928084367054 ,1.3196748484593174533 ] 
dist 41=[-2.0098633418714041949 ,.08074330350510541532] 
dist 42=[-1.6164866204609479190 ,.12130783020733789001] 
dist 43=[-1.5024245104132490692 ,.03001721750709327705] 
dist 44=[-1.0246063249474992200 ,.46175370608145517402] 
dist 45=[-1.3417265732533650508 ,.90010071275172138699] 
dist 46=[-.97314596392875622641,1.2295418748573016231 ] 
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dist 184=[-.2230409945119919277 ,.2200514858348235867 ] 
dist 185=[-1.53413837909651994270e-08,2.44792667533366224700e-09] 
dist 186=[-.19433440784930717697,.19323380511000051325] 
dist 187=[-1.26229960438179697300e-08,2.05443052418636596140e-08] 
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dist 191=[4.70510168192028436280e-10,1.32565624852912072140e-08] 
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dist 197=[-3.05377921630322866820e-09,1.21944359863587338760e-09] 
dist 198=[-.11477221501047122218,.27201790387745353658] 
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dist 205=[-1.62201365636943478010e-09,2.74227278126593736780e-09] 
dist 206=[-.24028248874683173005,.3776240081805007908 ] 
dist 207=[-1.73436776365019622050e-09,3.33401972599907841350e-09] 
dist 208=[-.28034111809111664024,.13578612236027947577] 
dist 209=[-1.38187489266385074520e-09,3.09681036178750881120e-09] 
dist 210=[-.33513212811751949862,.15185815326420230885] 
dist 211=[-1.52711773758108992800e-09,2.22822684749170860670e-09] 
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dist 215=[-2.39190320538833764500e-09,2.53737937139322391110e-09] 
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dist 221=[-3.37550832525959944280e-09,3.56423793255839491560e-09] 
dist 222=[-.36646610215574636194,.16645452899096468005] 
dist 223=[-5.64335106002793488330e-12,3.38682335501215695840e-09] 
dist 224=[-.13890458513330001378,.17834719890546644309] 
dist 225=[-1.56769423341201109270e-09,2.94055020099539994840e-09] 
dist 226=[-.15254979215073823326,.17758049902741991142] 
dist 227=[-4.53583250625371473910e-09,2.91287746227344070750e-09] 
dist 228=[-.17726339889056890481,.1760789013446337696 ] 
dist 229=[-5.60091128827428120350e-09,3.13554024979402218550e-09] 
dist 230=[-.20001036413355693213,.17024217569702963348] 
dist 231=[-5.19582289924816149540e-09,3.06330635847375694600e-09] 
dist 232=[-.23047100317997823494,.18553686745580564051] 
dist 233=[-3.64840345968665270100e-09,2.98633191746334798570e-09] 
dist 234=[-.23658593416067892341,.18606311365155813536] 
dist 235=[-5.04199523990572408810e-09,3.71535505678066188030e-09] 
dist 236=[-.2359747832306764024 ,.17783714106532902814] 
dist 237=[-5.97269607539588622120e-09,3.93608540674807615240e-09] 
dist 238=[-.15799929604745749542,.16498948073086968295] 
dist 239=[-5.51608584294800732270e-09,1.70831302287491662830e-09] 
dist 240=[-.13447085910773255262,.1684581311698852205 ] 
dist 241=[-3.89053073561733793310e-09,1.37179440479251017590e-09] 
dist 242=[-.10592777577976228726,.16655001123339757753] 
dist 243=[-1.82249814841642161650e-09,2.53953081586175360270e-09] 
dist 244=[-.09663675289317817400,.15951323948573273258] 
dist 245=[-2.28102529953040965050e-09,3.66647093370040885630e-09] 
dist 246=[-.04702438041697038431,.15514085500787260102] 
dist 247=[-2.11457446733293222890e-09,3.42025342563417194170e-09] 
dist 248=[-.03407451033576127772,.17382944698414902355] 
dist 249=[-1.48583168461027362400e-09,2.41900327988005768510e-09] 
dist 250=[-.0212743629065113598 ,.18023034374360577666] 
dist 251=[-3.69026864515744078560e-09,1.94782431388879815760e-09] 
dist 252=[-.01396443602020323145,.17746171908509347531] 

8 phat 5 dirichlet min maxes function [0, 0, 0, 1, 2, 1, 0, 0, 2] 
dist 0=[340.86134571040661177   ,340.86134571040661177   ] 
dist 1=[317.42282888927457330   ,346.19813784265693138   ] 
dist 2=[283.43138095708501903   ,347.49418147958005652   ] 
dist 3=[247.95053108816882067   ,342.03759401107831806   ] 
dist 4=[181.74708471297839546   ,330.57264212890368947   ] 
dist 5=[125.97727865831765253   ,246.25289125520449444   ] 
dist 6=[71.103198376380174419  ,226.66275581706985888   ] 
dist 7=[10.447780769677360473  ,160.39863451790450219   ] 
dist 8=[-41.649760490433091195  ,150.63650984158518538   ] 
dist 9=[-62.501228483396284958  ,32.569978692859393340  ] 
dist 10=[-70.126799267942549465  ,8.4493591818729800724 ] 
dist 11=[-77.360764290613961132  ,4.0164578676175418016 ] 
dist 12=[-85.785108109943787152  ,4.6825715089525253315 ] 
dist 13=[-85.585749494637723979  ,11.590073300583640156  ] 
dist 14=[-66.878328417541820784  ,18.584821182421274941  ] 
dist 15=[-52.715234564308364864  ,25.756412898273879003  ] 
dist 16=[-50.580346949616276481  ,35.722626068615076249  ] 
dist 17=[.65686868134459106559,36.289313842738254047  ] 
dist 18=[.41299796241249492386,34.664522794085857421  ] 
dist 19=[-5.9625556587955121796 ,31.978518372654384598  ] 
dist 20=[-10.788778499685642058  ,30.529967423409233535  ] 
dist 21=[-18.646092911364772457  ,31.056923734088297101  ] 
dist 22=[-25.657250630379010980  ,30.751285742156606534  ] 
dist 23=[-27.381901439014521570  ,24.589248904753649509  ] 
dist 24=[-13.912294019917304431  ,22.311234610374076340  ] 
dist 25=[-12.644462930399203585  ,4.2067977133111896860 ] 
dist 26=[-16.677350968934380372  ,7.0378756364641421098 ] 
dist 27=[-21.938678716205723046  ,11.979402818023280321  ] 
dist 28=[-23.304536499899326995  ,15.003858756164780498  ] 
dist 29=[-7.1175282380344966437 ,15.285647984920822821  ] 
dist 30=[-6.9615441198848683785 ,3.2852106496089547221 ] 
dist 31=[-5.4488382418826127031 ,4.2282756584226795878 ] 
dist 32=[-5.2286406182986489185 ,4.6747127423593908821 ] 
dist 33=[.1189711901001445818 ,4.6524989639102895438 ] 
dist 34=[.17995725493831999809,4.0118282664110278590 ] 
dist 35=[.9394147528081253229 ,3.6638768759156932037 ] 
dist 36=[-1.1401182407302300277 ,5.2888016414627608193 ] 
dist 37=[-2.5342355103043090233 ,3.8500125924122030497 ] 
dist 38=[-3.2945204109800080601 ,4.3700733727142178760 ] 
dist 39=[-4.0285086810314301860 ,2.8729536156644517322 ] 
dist 40=[-1.2283942564032705845 ,3.7128123459980751280 ] 
dist 41=[-1.2198253981286576419 ,.28419724071598520406] 
dist 42=[-2.2260734184410771059 ,.51540109980498302268] 
dist 43=[-2.3255004846024697378 ,-.1350894239466472002 ] 
dist 44=[-3.0475803650417110599 ,.27390434447319689239] 
dist 45=[-1.4727110252087663957 ,.86557260889694519769] 
dist 46=[-.9801872906519730612 ,.86422954708900548888] 
dist 47=[-1.2830579456060755779 ,1.2355324094576903740 ] 
dist 48=[-1.5349899103002382720 ,.96599047116138494294] 
dist 49=[-.99057403852567486624,1.4523451632887650778 ] 
dist 50=[-.78938965805220400512,.79049175159034274699] 
dist 51=[-1.0086041060206398386 ,1.3807373070893958573 ] 
dist 52=[-.64223115168806748417,.44911812903520046817] 
dist 53=[-1.0013781496080811281 ,1.1050000121488993351 ] 
dist 54=[-.66292395874011201676,.42870936748348781066] 
dist 55=[-1.1020142062193677739 ,.93844905547814247641] 
dist 56=[-.82814748740395238385,.3696585929108095549 ] 
dist 57=[-.16512054670549118221,.05073814518649947294] 
dist 58=[-1.1243269245477541088 ,.55491053519303540471] 
dist 59=[-.32831680684492204803,.95853040133862009673] 
dist 60=[-1.2524050928771750299 ,.85601050163617414537] 
dist 61=[-.10295989039871094575,1.0342976207096819008 ] 
dist 62=[-.09980287351960807131,.07541623363858062655] 
dist 63=[-.07643479088891844501,1.0474379004917959065 ] 
dist 64=[-1.3570807824111497020 ,2.1606781824815180755 ] 
dist 65=[.00481482840991803816,.89943703528741271232] 
dist 66=[-1.2717137119720604846 ,2.5297826956059593157 ] 
dist 67=[.01290194616109504358,.65907719085757354886] 
dist 68=[-1.1821188621741866642 ,2.6303621041281552207 ] 
dist 69=[-.04895638806792684912,.46680029703029034818] 
dist 70=[-1.1773192872667476071 ,2.5998725018651018569 ] 
dist 71=[-.14192915762882093772,.38738729078500536647] 
dist 72=[-1.2015720688727992998 ,2.5445631712327608333 ] 
dist 73=[-.01988521276803295646,.00350129894315976002] 
dist 74=[-1.2388699987612143521 ,2.4009502161875180568 ] 
dist 75=[-1.1357152203789381809 ,.18061786053924883748] 
dist 76=[-1.1853839554422956375 ,2.3365630787811540544 ] 
dist 77=[-1.4801024192548391390 ,.1463176195604110147 ] 
dist 78=[-.01258562435984045812,.01039405977496891597] 
dist 79=[-1.6676211795156327877 ,.13953629800579175813] 
dist 80=[-1.0952703748744395979 ,.01139403256600339340] 
dist 81=[-1.5633164948504153490 ,.01678026954090798102] 
dist 82=[-1.0542109019165384814 ,.00850207033048918779] 
dist 83=[-1.9535926177057479401 ,.00792740077159515132] 
dist 84=[-1.4769860933614731283 ,.00669050793331353794] 
dist 85=[-1.8739543832008556334 ,.06355986404104531561] 
dist 86=[-2.0632011093995990905 ,.00629968076307218601] 
dist 87=[-1.8287728444029654352 ,.18343635978336381772] 
dist 88=[-2.3145388538074853816 ,.17264722181614994243] 
dist 89=[-.00442825865923974365,.00068592202730884882] 
dist 90=[-2.5145905620239217447 ,.63164763556243834755] 
dist 91=[-.00486205302573962242,.8805639327315500922 ] 
dist 92=[-2.5836992210288805547 ,1.0459615697619594369 ] 
dist 93=[-.00153428930423142003,1.1147913306490391108 ] 
dist 94=[-.00148325336934388725,.00506971836439907359] 
dist 95=[-.00111303399562469112,1.2212112880522727402 ] 
dist 96=[-2.6247432889741179918 ,2.0937505896581863200 ] 
dist 97=[8.07175269754745654950e-05,1.4760511421476062123 ] 
dist 98=[-2.5025837361107476598 ,2.3307263378302260438 ] 
dist 99=[.00018128304967911101,1.6831087617024455756 ] 
dist 100=[-2.4486726293258687813 ,2.5157574396612444535 ] 
dist 101=[-.00076821659994657425,1.6217512731207563253 ] 
dist 102=[-1.8885051882947786800 ,2.3682819502340157432 ] 
dist 103=[-.16625807962370317118,1.5828164442190793189 ] 
dist 104=[-1.6858591936610625846 ,2.3457316328940027307 ] 
dist 105=[-.00216051152891541239,4.28170955236040138480e-05] 
dist 106=[-1.4923885825425208064 ,2.3241531764195760032 ] 
dist 107=[-.96307036714378808985,1.3575449811693983999 ] 
dist 108=[-1.3432872639079859240 ,2.3642894646884058238 ] 
dist 109=[-1.1800842115921756340 ,1.2614051433581427252 ] 
dist 110=[-.00181740369989527588,.00396807476906574650] 
dist 111=[-1.2655950595006158108 ,1.2074252451228680576 ] 
dist 112=[-.00016665561032878898,4.5481964396007272992 ] 
dist 113=[-1.1634885270325023387 ,.44930885796944570379] 
dist 114=[-.00022292388269084421,4.5867661390413554434 ] 
dist 115=[-1.3047225113770732933 ,.51621629856777004828] 
dist 116=[-.00141841127150645194,4.5330825723856134687 ] 
dist 117=[-1.1712782698247775686 ,.62739569913190711679] 
dist 118=[-.00202455929143168669,2.4919362060093159287 ] 
dist 119=[-1.1307895411299706620 ,.66504859937867079601] 
dist 120=[-4.05431153639222972310e-05,2.3093258161157301158 ] 
dist 121=[-3.92814169100218187610e-05,9.89095642705493951700e-06] 
dist 122=[-5.63080098366871138870e-05,2.5553822960745821660 ] 
dist 123=[-.477703064619586703  ,-1.12496410209549207790e-05] 
dist 124=[-7.70349396305695527590e-05,2.4960032332351924306 ] 
dist 125=[-.51266260495791321299,1.31493131051080597570e-05] 
dist 126=[-2.16807047105521420560e-05,1.91567319191369745650e-05] 
dist 127=[-.7748989846967578748 ,.21077684729499286152] 
dist 128=[-3.3321603979922783414 ,2.05569362417209049890e-05] 
dist 129=[-.93468475043568898155,1.97362400260204754360e-05] 
dist 130=[-3.5198144458055017212 ,.36591137032536855668] 
dist 131=[-1.3356878443250407487 ,1.40253187295451248250e-05] 
dist 132=[-3.8540397106848851487 ,.44548523061930511231] 
dist 133=[-1.3827060181818890174 ,1.23965019662962838740e-05] 
dist 134=[-2.1191137709720555714 ,1.19230652196180698280e-05] 
dist 135=[-1.4261476768848424133 ,9.04220406294244828600e-06] 
dist 136=[-3.8336600331850382479 ,1.3131761401354412590 ] 
dist 137=[-4.58823773354640319040e-06,6.58480444677999515010e-07] 
dist 138=[-3.3441126382828574749 ,2.1371329488421619220 ] 
dist 139=[-7.11593044330440083190e-06,1.2147912495254910062 ] 
dist 140=[-3.2316272581150738174 ,2.6371099357014989799 ] 
dist 141=[-2.83187878905905305990e-06,1.4375606078886800712 ] 
dist 142=[-2.73165797367633825570e-06,2.49036692380214528650e-06] 
dist 143=[-2.03353896598065746350e-06,1.4860838651910538666 ] 
dist 144=[-1.92929337421753886120e-06,2.5827849774036614544 ] 
dist 145=[2.90681766070100673410e-07,.76421878715474711036] 
dist 146=[9.40353353516600544020e-07,3.1984510122079288663 ] 
dist 147=[-.40272184931573003953,.93356156486047956427] 
dist 148=[-5.80376624098796653430e-07,3.3183796814828870419 ] 
dist 149=[-.58280837832719392185,.81594443463759157044] 
dist 150=[-1.50477311430756875610e-06,17.183343537463270914  ] 
dist 151=[-.75917035106756769232,.67693491831834084482] 
dist 152=[-6.04656800818947768040e-07,3.4314191454761575730 ] 
dist 153=[-5.84238655051425486570e-07,1.43664959630794057890e-07] 
dist 154=[-8.27328071267484156770e-07,3.6079894524554878155 ] 
dist 155=[-.6687201811387533604 ,.58315026790557168589] 
dist 156=[-1.13014773897479238540e-06,3.5683592954084705719 ] 
dist 157=[-.29936257875596928967,.90356048991939400857] 
dist 158=[-3.18564799119845954410e-07,2.89394090834985729360e-07] 
dist 159=[-.34925327386665443691,.88990294371312817341] 
dist 160=[-1.2544011222868095850 ,3.15878971853980527230e-07] 
dist 161=[-.80447180842093544762,1.0454220225770606948 ] 
dist 162=[-2.2919077703682626031 ,.14575609780311599618] 
dist 163=[-.52833318563877613237,1.1684946299185158662 ] 
dist 164=[-2.4645917503388240943 ,.17532687768170488626] 
dist 165=[-.71877678609931371363,1.6408867594056226318 ] 
dist 166=[-3.2460296554171318324 ,.38792987358210855473] 
dist 167=[-.72135053187678070312,1.6128874405421818378 ] 
dist 168=[-3.4842536303716807256 ,.20861624525906030694] 
dist 169=[-7.48030293081241958670e-08,1.22932107426103992530e-08] 
dist 170=[-3.6116580112732652550 ,.06848047618258586403] 
dist 171=[-1.4813766020950225551 ,1.1879013845784537786 ] 
dist 172=[-3.5932852228190062409 ,.02931322188865308114] 
dist 173=[-1.2857023016735969319 ,1.2260630565962173157 ] 
dist 174=[-3.88739591695627458730e-08,4.35790568563298711550e-08] 
dist 175=[-1.3923345689663000476 ,1.2694947100192308472 ] 
dist 176=[-1.8515450098081773356 ,1.99905512799304411510e-07] 
dist 177=[-1.1020287987394932092 ,.81871321393428208964] 
dist 178=[-1.9932832221699527098 ,7.50639658041922004490e-08] 
dist 179=[-1.3356933955921770826 ,1.4186154214682059945 ] 
dist 180=[-2.1022328589603129299 ,2.51166860596249088660e-07] 
dist 181=[-1.3598215297250305644 ,1.3876849955675735580 ] 
dist 182=[-1.7497393631782471270 ,8.20031427905490411510e-08] 
dist 183=[-1.3105099402803780917 ,1.3034966685274413137 ] 
dist 184=[-1.6685411685569269438 ,6.41125325449125944400e-06] 
dist 185=[-7.94068543592672179110e-09,6.29632697690079389870e-06] 
dist 186=[-1.4599246902230734893 ,5.52493441833271743270e-06] 
dist 187=[-5.81251190248477909540e-07,.48390181674232404701] 
dist 188=[-1.6624631150554247453 ,.23115119858188221344] 
dist 189=[-.3692329750199114882 ,.76197296051661038712] 
dist 190=[-8.39231115407870819800e-06,2.09590916389624060530e-06] 
dist 191=[-.36785498526389222895,.76072581152275560358] 
dist 192=[-.95743147301941634623,2.1963280337543933350 ] 
dist 193=[-.20822754855702202486,1.1362079535538975885 ] 
dist 194=[-1.2465480945489244678 ,2.3127157534840848977 ] 
dist 195=[-.32363160225601350508,1.1670795026466010115 ] 
dist 196=[-1.2684059774541752545 ,2.4633007834495580277 ] 
dist 197=[-.4055141085152446088 ,1.1061019687076685124 ] 
dist 198=[-.40625149987474125083,1.8968111955508858090 ] 
dist 199=[-.55716071781796120264,1.1591190988471983856 ] 
dist 200=[-1.5881029746095640407 ,2.3801211760973559079 ] 
dist 201=[-8.13597932880456041350e-06,8.58394930940427617360e-05] 
dist 202=[-1.7563652229370224442 ,2.1392531882934642837 ] 
dist 203=[-2.0976861367202683549 ,1.2267163058982199386 ] 
dist 204=[-1.9252327888204148908 ,2.1241031636220029122 ] 
dist 205=[-2.4576133588906686138 ,1.5467347080750126580 ] 
dist 206=[-.00010674849932758699,2.09089995691031036270e-05] 
dist 207=[-2.4592162205153325673 ,1.6258964712974079193 ] 
dist 208=[-1.1703440841137454279 ,6.82614301707554758950e-05] 
dist 209=[-2.0589651645965798511 ,1.2963265723585811741 ] 
dist 210=[-1.4679677695657620466 ,9.07157874319787583500e-05] 
dist 211=[-2.4771137382139143309 ,1.7118321672839279089 ] 
dist 212=[-1.5351654616748694835 ,.00013498622467651463] 
dist 213=[-2.4120978598197784459 ,1.6985520649682080235 ] 
dist 214=[-2.1285428756183655113 ,.00021524277317339656] 
dist 215=[-2.3022136469628879642 ,1.6567615667290299735 ] 
dist 216=[-2.1387249223231074936 ,3.62488165575881027560e-05] 
dist 217=[-3.18777964788207480180e-09,3.10448248143624804460e-05] 
dist 218=[-2.2735741138649835968 ,1.59089635064586979800e-05] 
dist 219=[-2.0940552867128211175 ,.1147478318146665549 ] 
dist 220=[-2.3665570258757907946 ,1.91536360106917757600e-05] 
dist 221=[-2.4477516969873881466 ,.35154348549953612303] 
dist 222=[-9.49462295533495834150e-07,2.76739078336953679040e-05] 
dist 223=[-2.4466981363454209996 ,.36499127579422436983] 
dist 224=[-1.5986021199831187659 ,1.7581260653513034219 ] 
dist 225=[-2.0605421846955111589 ,.96935850803063951145] 
dist 226=[-1.6789053389273971121 ,1.9059778444044777109 ] 
dist 227=[-2.4042418162985004428 ,.95412869019892456139] 
dist 228=[-1.6311748273637549854 ,1.9914201438710067001 ] 
dist 229=[-2.3298455727524603879 ,1.0365631227242169501 ] 
dist 230=[-1.1473346269553183634 ,2.2473680659051986291 ] 
dist 231=[-2.2180487609171671313 ,1.0644214511708667578 ] 
dist 232=[-1.0960256449301740955 ,2.2574249254786979215 ] 
dist 233=[-2.00459350275778849600e-05,.00041676798651612855] 
dist 234=[-1.2884612242428969710 ,2.3019972246020421780 ] 
dist 235=[-1.3259719446717406272 ,2.5837532262969170384 ] 
dist 236=[-1.0360056654701001593 ,2.2460034924656776720 ] 
dist 237=[-1.1042438116239229417 ,2.4456613375877786376 ] 
dist 238=[-3.30780050306911918010e-05,.00040176086936795398] 
dist 239=[-1.1427303243037547316 ,2.3751054414020058994 ] 
dist 240=[-.00199921392379772222,.00172262962799523723] 
dist 241=[-1.1393659470404135912 ,1.4403622309895584804 ] 
dist 242=[-.00172630792069520018,.00114604256070534211] 
dist 243=[-1.4162740746872215020 ,2.2427730038354031741 ] 
dist 244=[-.00198264230446181990,.00240555385114672440] 
dist 245=[-1.4485776878015939936 ,2.4910616343938686759 ] 
dist 246=[-.00128949614963516443,6.34978720027378465310e-08] 

8 phat 5 dirichlet min maxes function [0, 2, 2, 1, 2, 2, 2, 0, 2] 
dist 0=[445.85310473905695711   ,445.85310473905695711   ] 
dist 1=[419.18729350903236371   ,442.22793008713496912   ] 
dist 2=[365.00829095473466547   ,445.85310473905695711   ] 
dist 3=[268.23758659380621976   ,389.11602668340211373   ] 
dist 4=[156.05030603571936810   ,355.91053592658427689   ] 
dist 5=[92.557383363860337544  ,294.02495625918068594   ] 
dist 6=[32.187534629153556555  ,130.70886591164807943   ] 
dist 7=[-17.864665080092598239  ,68.536384994242779829  ] 
dist 8=[-60.335628476535301254  ,55.292649938339146426  ] 
dist 9=[-89.236003970385599624  ,-52.601795344817569852  ] 
dist 10=[-104.45300193285009781   ,-55.560003170494889197  ] 
dist 11=[-104.44725796504809126   ,-26.149471906626604216  ] 
dist 12=[-91.005716886067712316  ,9.0754800883472883591 ] 
dist 13=[-84.697320713101322429  ,27.234943556784613079  ] 
dist 14=[-32.418300018552457863  ,45.283985831844107890  ] 
dist 15=[-10.251071460957768860  ,49.679046388633812924  ] 
dist 16=[2.9582676483585773532 ,71.586131945574853238  ] 
dist 17=[15.776710864180041619  ,72.914721982881667002  ] 
dist 18=[15.040384209635627168  ,25.079215884832123548  ] 
dist 19=[3.0186460544186627376 ,24.889439160717502465  ] 
dist 20=[-5.7537697820209275243 ,20.341819224356759000  ] 
dist 21=[-12.739620537614403104  ,19.558477125183155949  ] 
dist 22=[-19.526322189955744445  ,5.7152224347910970737 ] 
dist 23=[-18.577815961704780216  ,2.8485062526327711507 ] 
dist 24=[-26.960073657506930158  ,5.9639226553607462028 ] 
dist 25=[-17.546481751553700521  ,.09945319463930040934] 
dist 26=[-12.129264854338878488  ,5.6796824232440809465 ] 
dist 27=[-14.175991384800273014  ,1.0394397045882967649 ] 
dist 28=[-9.9231788542259447641 ,8.5872865778383278853 ] 
dist 29=[-8.9775252353207137901 ,2.9589826044581294109 ] 
dist 30=[-1.9010022784133939294 ,6.2215979088611163742 ] 
dist 31=[-2.0990951416061798218 ,17.051629103388686466  ] 
dist 32=[2.1156624450151751204 ,11.087483228603334429  ] 
dist 33=[-2.5248432120171047219 ,22.326294297194240253  ] 
dist 34=[2.4876277179623923936 ,9.6168477489463739229 ] 
dist 35=[1.7687593331471618432 ,9.6431871967867311213 ] 
dist 36=[-.03887331781153742564,4.1600479566660217555 ] 
dist 37=[-7.2533611866139863730 ,9.1994618160471401826 ] 
dist 38=[-2.3393013451075828202 ,1.2715929354656660104 ] 
dist 39=[-9.9625345642282710786 ,8.5143656137640169011 ] 
dist 40=[-7.0402549810493710032 ,-1.0446707242384010338 ] 
dist 41=[-13.373225065621055266  ,4.8237527941080935840 ] 
dist 42=[-8.5897848777498865924 ,-1.1063676517631059135 ] 
dist 43=[-5.0520081217369902416 ,3.4246081491343733222 ] 
dist 44=[-7.6400329441255246149 ,.67698481441092774188] 
dist 45=[-5.1686576544129951859 ,2.6137125399825099391 ] 
dist 46=[-6.6651346399625313861 ,1.8166115787162292181 ] 
dist 47=[-4.9664529670396384035 ,10.870656014711120387  ] 
dist 48=[-20.958983656032315838  ,5.2251683370528986999 ] 
dist 49=[-5.0664248068250777981 ,10.824440979966426541  ] 
dist 50=[.33391233981227873745,6.6799558037933027450 ] 
dist 51=[-5.2568299207542346700 ,.46584950420445184774] 
dist 52=[-.14020544018598951244,6.9152384729352660288 ] 
dist 53=[-4.9181214983184034133 ,6.7269277464688029470 ] 
dist 54=[-2.0375741883029094534 ,6.4744284820021857153 ] 
dist 55=[-4.3817286225488231471 ,2.7570559491700058491 ] 
dist 56=[-1.1174361549295940887 ,3.6516858772805985401 ] 
dist 57=[-2.5306729405300131285 ,6.0801915564549822015 ] 
dist 58=[-3.2969200499713448814 ,2.3678447360437443098 ] 
dist 59=[-1.8641480701748919962 ,1.0703269239337021353 ] 
dist 60=[-4.3489864917741358328 ,1.1774340496138220092 ] 
dist 61=[-10.050792747539101590  ,5.9084125515983052820 ] 
dist 62=[-4.7375582147094366890 ,.3153994531173376269 ] 
dist 63=[-11.745448500103813882  ,6.2245841325138340169 ] 
dist 64=[.03660884229710506696,.71742165337772703198] 
dist 65=[-10.729327428431290559  ,8.8157931452492011286 ] 
dist 66=[.03965104132829745058,.77557369370376475854] 
dist 67=[-1.7697249765645035380 ,1.6835023856429442765 ] 
dist 68=[-.00565027849782776952,.80129055070565253071] 
dist 69=[-1.8112556329909234110 ,7.8845550761228835508 ] 
dist 70=[-.03847945902338964151,.88345882898539542009] 
dist 71=[-6.9376619302526489852 ,10.183937071715349664  ] 
dist 72=[-.04284343676134477317,1.1044455535952156872 ] 
dist 73=[-7.6584225119523361411 ,10.966179573699668314  ] 
dist 74=[-.03332715215515908452,1.3387248813463035923 ] 
dist 75=[-5.4928393182786546914 ,6.4689468998359071137 ] 
dist 76=[-.01809689359664063473,1.4527377455723675187 ] 
dist 77=[-9.0164319863290161776 ,9.1887821385986274293 ] 
dist 78=[-.1821597582488585338 ,1.4947281653480222658 ] 
dist 79=[-15.103698649832095103  ,8.6823119883969393777 ] 
dist 80=[-1.1891020043093849783 ,.01526837024981270166] 
dist 81=[-14.329276684363455920  ,7.3920883037177569013 ] 
dist 82=[-1.5821525019445142607 ,.00747834178979784049] 
dist 83=[-1.1070283041592081928 ,.00704912163222588446] 
dist 84=[-1.9741429602043419821 ,.00418498103937264108] 
dist 85=[-1.2968852521304653513 ,.05402628088617217924] 
dist 86=[-2.0680320433408752172 ,.00084220503249441692] 
dist 87=[-1.8286660866766546211 ,.66001136004608623132] 
dist 88=[-2.0141685184438318391 ,-.00025739148552464443] 
dist 89=[-2.6759541096176460090 ,.656765707530319506  ] 
dist 90=[-1.7260924385140130517 ,.00242053914765870789] 
dist 91=[-3.1714251420292317968 ,1.3557511200681947716 ] 
dist 92=[-1.4753463603336727222 ,.40788363220391739553] 
dist 93=[-3.3864172241663450898 ,1.8880134165904410545 ] 
dist 94=[-1.4263259773339704195 ,.48675651920938790691] 
dist 95=[-3.4204199244208263274 ,2.2302889787913941428 ] 
dist 96=[-.00313249940149629729,1.0825385725249968793 ] 
dist 97=[-2.9231433948475396564 ,2.3286509242198610634 ] 
dist 98=[-.02432469964585216942,1.3434483936134194796 ] 
dist 99=[-2.6994732065944666000 ,2.8685909236645049719 ] 
dist 100=[-.02063796960126808936,1.4774895856213240201 ] 
dist 101=[-3.1678858340133276390 ,3.3200918633196733284 ] 
dist 102=[-.01012165801915507435,1.5502170126977778822 ] 
dist 103=[-3.7133047680007546488 ,3.4476144793753884000 ] 
dist 104=[-.00624415572616280423,1.4437203152513583324 ] 
dist 105=[-3.8278309874102603385 ,3.1331890940857156010 ] 
dist 106=[-.01984008007603570243,1.5738326234418375904 ] 
dist 107=[-2.5574306948847216724 ,3.1784665772302895152 ] 
dist 108=[-.02610168121656910604,1.5882608302517664187 ] 
dist 109=[-3.1097034390057246822 ,3.0135377356731966272 ] 
dist 110=[-.03842689184995375082,1.5378676076435399661 ] 
dist 111=[-2.9289095047943599592 ,2.8663603016626955295 ] 
dist 112=[-.15021417912380892222,1.5295286196444866138 ] 
dist 113=[-2.7135896149241313365 ,2.1657020547541510891 ] 
dist 114=[-.4885169154469799466 ,1.4874834663839399417 ] 
dist 115=[-1.5019305413695797943 ,.00012669971010996388] 
dist 116=[-.67028655158521877907,5.1508370178838169539 ] 
dist 117=[-2.0512713845650871499 ,.53085772468931002245] 
dist 118=[-1.1622773692125238237 ,5.0916250769942390181 ] 
dist 119=[-2.7736086060621712147 ,.74496605184476617361] 
dist 120=[-1.0810984908999345588 ,4.9198742309405509620 ] 
dist 121=[-2.9113604473322394434 ,.76453571223792818026] 
dist 122=[-1.4498010243349944747 ,2.9829639937239341336 ] 
dist 123=[-2.4669170529825451604 ,1.1603872692779494476 ] 
dist 124=[-1.5783127251633807040 ,3.1007376580367401502 ] 
dist 125=[-3.4868664628525642212 ,.76372738063792990709] 
dist 126=[-1.5791507113462982260 ,2.5982111002461539988 ] 
dist 127=[-3.6389404429608255027 ,.91241641400729032175] 
dist 128=[-.00051221736887986122,2.6330248676617590003 ] 
dist 129=[-3.4687692545758445498 ,.88255068832665875604] 
dist 130=[-.07888989355273523448,3.90120547818770551960e-05] 
dist 131=[-.11888016766611752138,.00572698530314487890] 
dist 132=[-4.3837580415712088386 ,3.57592868614091018170e-05] 
dist 133=[-1.3440648802247683716 ,3.4436910728348807483 ] 
dist 134=[-4.5346320221314285746 ,.40200531528131511197] 
dist 135=[-1.5382778004971885685 ,2.7901178776932503148 ] 
dist 136=[-4.9883477046055916575 ,.12080059123134954799] 
dist 137=[-1.5850308170761834178 ,2.8912294586114875952 ] 
dist 138=[-1.8271135269501707408 ,.57030101907652239629] 
dist 139=[-1.3443405764855220885 ,1.6325161405481979158 ] 
dist 140=[-4.9283673487363929691 ,1.2091133066283388072 ] 
dist 141=[-1.8899215979935472940 ,3.4057754891089676961 ] 
dist 142=[-4.0588875594439007281 ,2.2794729156725364721 ] 
dist 143=[-2.2034496634669273968 ,3.5419925173602523212 ] 
dist 144=[-4.1917493636553522518 ,2.8213602895755253372 ] 
dist 145=[-2.2204914533602129329 ,3.4806400401927472658 ] 
dist 146=[1.05725121377144887260e-06,.08919808785575875060] 
dist 147=[-.05258565341617753154,1.18412467217146030470e-06] 
dist 148=[-8.4177737936455584657 ,3.2177286605492687102 ] 
dist 149=[-.04148468254062191232,7.33320141307846782230e-07] 
dist 150=[-14.804848391076010725  ,4.1093080066744446962 ] 
dist 151=[-6.38714673634731503240e-07,.02074235514615128857] 
dist 152=[-13.888089881699059017  ,4.3154496678837369852 ] 
dist 153=[-9.02520400416131780120e-07,.03184332096802287756] 
dist 154=[-.20374504859282509354,4.0991865543987756168 ] 
dist 155=[-5.93581093712129682090e-07,.02750800028309942174] 
dist 156=[-10.235303941172140457  ,4.3367842017579240462 ] 
dist 157=[-4.08129236469245939890e-07,.02074234261277174591] 
dist 158=[-12.950851385802686895  ,4.3761035740446256563 ] 
dist 159=[-.01961323754274626592,5.03793445608379470450e-07] 
dist 160=[-14.513363038414427327  ,9.9397492402978233584 ] 
dist 161=[-.02637889357131531774,4.85245086368104263520e-07] 
dist 162=[-1.1802734133602722408 ,1.0401346871332075605 ] 
dist 163=[-.00453874841745874748,1.34005171889098028940e-07] 
dist 164=[-1.4026217771789855496 ,14.503772928211397569  ] 
dist 165=[-.00355945512065921453,8.35211239051556621830e-08] 
dist 166=[-2.6897563894554529254 ,11.550584142164734577  ] 
dist 167=[-9.07623480776430356920e-08,.00198364600182612577] 
dist 168=[-2.9533416484117746275 ,14.426051391529912168  ] 
dist 169=[-2.59608387859056267220e-06,.00296293852315282721] 
dist 170=[-4.2242315077082198248 ,1.2435654273661305132 ] 
dist 171=[-7.17399459219432003950e-08,.00249948086472480701] 
dist 172=[-4.5321790058711386327 ,.93917889099948945004] 
dist 173=[-1.16820295238572049920e-06,.00193002168139396359] 
dist 174=[-7.9147682941319551320 ,.26040760482087552536] 
dist 175=[-.00142173569715324097,4.61397544581090761430e-08] 
dist 176=[-7.5267367617143075982 ,.20249763133063163837] 
dist 177=[-.00193757129928474361,4.65969787046330147930e-08] 
dist 178=[-.3804245936051321912 ,.57919087573056871918] 
dist 179=[-.00046564990088237389,2.18137053827870227880e-08] 
dist 180=[-6.0000136874926614305 ,9.59836111687106974820e-06] 
dist 181=[-.00036732578664699787,1.36810312011651961140e-08] 
dist 182=[-6.2940697179595198175 ,2.2897692318847561916 ] 
dist 183=[-1.26609032204975588020e-08,.00018389700744366544] 
dist 184=[-7.3967878205905406722 ,3.5868498864111810424 ] 
dist 185=[-1.90302100238784412210e-05,.00028222050627969326] 
dist 186=[-2.0946291568525898248 ,.82764284227616450705] 
dist 187=[-1.23663212610796457020e-08,.00024272990199663104] 
dist 188=[-3.8404669349522820318 ,7.1637136826975582118 ] 
dist 189=[-1.40790552572891151760e-05,.00018383495682451129] 
dist 190=[-7.1356937116599206895 ,7.2435888018409950481 ] 
dist 191=[-.00016577048222617118,1.13801934970255954640e-08] 
dist 192=[-6.6554577760403928942 ,7.3707734525515872536 ] 
dist 193=[-.00022460421824321015,8.21070830814302263290e-09] 
dist 194=[-1.6201248453663850575 ,1.7724201154392802715 ] 
dist 195=[-4.76053110896898393460e-05,6.22886891965714574990e-09] 
dist 196=[-4.6859599850714663041 ,3.3695197358634389764 ] 
dist 197=[-3.75313743550708405540e-05,4.01627849131755304110e-09] 
dist 198=[-5.0808463886562790460 ,3.8076422221450508426 ] 
dist 199=[-6.39567132161433148540e-09,2.11459835689284899000e-05] 
dist 200=[-6.9842068346999833778 ,5.1759461250311253387 ] 
dist 201=[-1.62121277825208774080e-05,3.14319399543024718370e-05] 
dist 202=[-1.7174410784416865404 ,2.3559508554361386768 ] 
dist 203=[-2.32130960258699377610e-08,2.63564899978856125500e-05] 
dist 204=[-2.2009066708922401750 ,6.6780856880972489787 ] 
dist 205=[-1.37038192317976331820e-05,2.04743795664138851900e-05] 
dist 206=[-3.0693258594594295270 ,6.1440233130793227846 ] 
dist 207=[-1.39763471093422724710e-05,1.39653889512061160450e-08] 
dist 208=[-2.5947193352231534403 ,6.7029504994158993304 ] 
dist 209=[-1.91868598311958851230e-05,3.70523359036714720730e-09] 
dist 210=[-9.72282603858709438080e-08,1.2660762663094508278 ] 
dist 211=[-5.33866496113422496370e-06,3.71970402957628092930e-09] 
dist 212=[-1.2795296915302111369 ,1.4079169487376284238 ] 
dist 213=[-4.21162645747062407880e-06,3.32038995151490790770e-09] 
dist 214=[-1.6228178750117959147 ,1.1897902202411540783 ] 
dist 215=[-4.11844449608995893530e-09,2.10612559107248858400e-06] 
dist 216=[-1.6338078526494705899 ,.79987948317982348143] 
dist 217=[-2.25419929449044237590e-07,3.23316338435767946910e-06] 
dist 218=[-2.5480982994698709325 ,.96308255192429325866] 
dist 219=[-3.26052358951400796620e-09,2.77806396345851927790e-06] 
dist 220=[-2.7193452138332398239 ,1.4826757634010599466 ] 
dist 221=[-1.69255611436468507550e-07,2.10604293387007390290e-06] 
dist 222=[-2.9634091395114458655 ,1.4279883203023428118 ] 
dist 223=[-1.87800877082739622450e-06,1.09690738999608899880e-08] 
dist 224=[-3.0978358681779856987 ,1.5875099559624342259 ] 
dist 225=[-2.54994775012886391860e-06,2.91021389605748352130e-09] 
dist 226=[-1.57604835918094358030e-07,.21894590665043565319] 
dist 227=[-5.67524294859517469980e-07,2.99039642460199504400e-09] 
dist 228=[-.91826670544398083082,1.8581238811168847588 ] 
dist 229=[-4.44579030421197816350e-07,5.14288013381581145660e-09] 
dist 230=[-1.1678326385396367742 ,2.3407465033266722061 ] 
dist 231=[-4.43707770545038430700e-09,2.52555769782732820710e-07] 
dist 232=[-1.1581222257588719196 ,2.5128400733652810030 ] 
dist 233=[-2.23505183332596287190e-07,3.73862158636358166260e-07] 
dist 234=[-1.3533804709740787215 ,2.6903450300038208625 ] 
dist 235=[-3.73779325144330664800e-09,2.62039101657194842970e-07] 
dist 236=[-1.2683578578594280657 ,2.9369088181677612579 ] 
dist 237=[-1.18742376397126969740e-07,1.99982278827384339010e-07] 
dist 238=[-1.0746336000966595939 ,2.8420437697908335376 ] 
dist 239=[-3.50156818202560290020e-08,5.71712661764569272680e-09] 

8 phat 5 dirichlet min maxes function [2, 2, 1, 0, 2, 0, 2, 0, 2] 
dist 0=[321.96962268347502791   ,321.96962268347502791   ] 
dist 1=[289.21923080179965271   ,331.10905177672115845   ] 
dist 2=[248.99348647856386065   ,330.32116484524979943   ] 
dist 3=[210.30025014746211277   ,324.91185694305640073   ] 
dist 4=[168.39130797404273852   ,307.81771734939264062   ] 
dist 5=[114.77099821743799940   ,223.97030523870515624   ] 
dist 6=[63.875868824161133662  ,193.40319838535893555   ] 
dist 7=[32.344067963814078504  ,169.54586373593761584   ] 
dist 8=[3.9939821738070184549 ,106.87481953716541599   ] 
dist 9=[-38.497248295726183612  ,21.322208443382728143  ] 
dist 10=[-67.195295206276200273  ,-12.550383286381636406  ] 
dist 11=[-81.135613124132294120  ,-15.310340389771318945  ] 
dist 12=[-85.588072418536104695  ,-14.336393398539979992  ] 
dist 13=[-84.764485279599298291  ,.00721397831892061760] 
dist 14=[-72.452487199825760389  ,16.780573814632427443  ] 
dist 15=[-65.120820385641682756  ,32.488753873874989313  ] 
dist 16=[-3.9213610354658953610 ,47.481337390054085658  ] 
dist 17=[-2.1358346525661678797 ,58.026549750157203548  ] 
dist 18=[-.71956564550609780139,59.845746654730130212  ] 
dist 19=[-.48730565893917866608,52.297570729984878169  ] 
dist 20=[-.81825296330011318642,51.053583449928205667  ] 
dist 21=[-.84031390608589508828,39.094548658606434598  ] 
dist 22=[-12.311224899573026262  ,32.064680570161360636  ] 
dist 23=[-23.355604953001915102  ,28.936649983296842333  ] 
dist 24=[-29.064840102998981112  ,9.5575341924353473433 ] 
dist 25=[-31.531373253890324987  ,13.823593161019517602  ] 
dist 26=[-31.280670894807652108  ,18.279117690125978190  ] 
dist 27=[-30.317510420433017468  ,21.241012905842992068  ] 
dist 28=[-23.935644723964334569  ,23.209420960372339316  ] 
dist 29=[-9.0690447475916939077 ,24.013519431213691282  ] 
dist 30=[-7.1458705977636000744 ,23.849732446783787047  ] 
dist 31=[-6.7699388198886385786 ,22.486477283796974600  ] 
dist 32=[.07448669376246117019,19.514557457330377604  ] 
dist 33=[.10339931765398041984,7.2362417370525981829 ] 
dist 34=[.11371647202046140466,7.1944710371118014063 ] 
dist 35=[.06608952560705367961,5.7965090225797022278 ] 
dist 36=[.00752731367959163033,5.5810658819985417105 ] 
dist 37=[-.18772272291262188186,4.8910524104387454695 ] 
dist 38=[-1.9602383708566962839 ,3.7804193773557959241 ] 
dist 39=[-3.1599333542773567432 ,3.5251584042318959921 ] 
dist 40=[-3.6529142728416032287 ,.40645762301622068299] 
dist 41=[-3.7597990117361755544 ,.18478329564630162666] 
dist 42=[-3.6514213434962566203 ,.36785000222281464181] 
dist 43=[-3.0214796517650759503 ,.48688839605560120961] 
dist 44=[-2.7072525196207547665 ,.56509571295866818418] 
dist 45=[-1.1347338538734767980 ,1.0620683552107491092 ] 
dist 46=[-1.4264881400510776694 ,2.0918612795425788436 ] 
dist 47=[-.83072878848878598928,2.7430682391276319890 ] 
dist 48=[-.34739908296267730655,2.9121588362975918925 ] 
dist 49=[-.3145053226752184878 ,.88097530565410201187] 
dist 50=[-.20458327391927932463,.8641314870240886653 ] 
dist 51=[-.16503145614281952283,.68265854503491627912] 
dist 52=[-.13913442989577154765,.78849553613969218997] 
dist 53=[-.13958506749181821971,.56593836204641063266] 
dist 54=[-.30268192290537834029,.48324889006919325719] 
dist 55=[-.46215315405749568107,.40685522574846098081] 
dist 56=[-.49519817364361436467,.33490286106399574225] 
dist 57=[-.51028417365256211579,.00085976428599407865] 
dist 58=[-.57762444537149055587,.13453186563136645811] 
dist 59=[-.45913602649326673572,-.13725125131579170608] 
dist 60=[-.34510679578685448326,-.07087478522641005040] 
dist 61=[-.1319597258907999729 ,.10624187342945087399] 
dist 62=[-.3531455055501847021 ,.20981872058086126562] 
dist 63=[-.09538646186995486532,.30245078622476974936] 
dist 64=[-.14796627914123287761,.29741183854989171261] 
dist 65=[.02261570045623847221,.12873211743828324016] 
dist 66=[-.34767698808301420879,.23084761752637110339] 
dist 67=[.04169373905281153492,.11641227856935366389] 
dist 68=[-.22958793072424421477,.36448952244302218111] 
dist 69=[-.02081195908848775368,.07241233120244057643] 
dist 70=[-.04214305630044754868,.43980065720969326303] 
dist 71=[-.07219092278342238866,.05148107468851989067] 
dist 72=[-.06651434754400055765,.40901910754188554279] 
dist 73=[-.07991774643212311559,-.00240276849356541653] 
dist 74=[-.07615925918871565636,.32894381151464089385] 
dist 75=[-.06108857399671824549,-.01750156172831141579] 
dist 76=[-.22801761544517671574,.22161492535687436442] 
dist 77=[-.02865064612013757057,.03677358182768040559] 
dist 78=[-.01258096593354716901,.42079601241976471721] 
dist 79=[-.01197017125350960969,.04512064422526760980] 
dist 80=[-.15662264019662339827,.24045526630409488412] 
dist 81=[.00178074362914192461,.02753284906284923227] 
dist 82=[-.05077871656769204576,.27302935050772871358] 
dist 83=[-.01286090611448929111,.03286221389958547797] 
dist 84=[-.3930223866980457568 ,.2477182065747873907 ] 
dist 85=[-.01590576243495455155,.02490556030032481604] 
dist 86=[-.19724418125980311589,.44923373201706783492] 
dist 87=[-.03313813778552738426,.032166491706012487  ] 
dist 88=[-.35401412681304560491,.31149037892311659492] 
dist 89=[-.02846352974136064928,.02235321725106125277] 
dist 90=[-.37827048945044657135,.37385552244714611924] 
dist 91=[-.02824242438640205247,.02350197759464113367] 
dist 92=[-.16443188892565415203,.23685470378588115998] 
dist 93=[-.03401315563229718661,.02921349922927850201] 
dist 94=[-.10396876779304480365,.33512275049906456644] 
dist 95=[-.02613497734725280222,.02901271009677757587] 
dist 96=[-4.5974456034414426828 ,.46543856924256954088] 
dist 97=[-.25585424067623600373,.00154121112500642547] 
dist 98=[-.20059894408274339197,.54783043521601226305] 
dist 99=[-.27878772950514927968,.00185816157658152190] 
dist 100=[-.40066260402954885542,.54408604152124640858] 
dist 101=[-.54451366228042817928,.00173356150355879247] 
dist 102=[-.4653122910289520896 ,.26559823066767987509] 
dist 103=[-.50020321505420770913,.00121958204743358875] 
dist 104=[-.54290181607600503788,.22085497839462979901] 
dist 105=[-.00154840416438670621,.15696538646229371188] 
dist 106=[-.44238873775297538729,.28374627121678346155] 
dist 107=[-.34884752776102176452,.20400883547523831325] 
dist 108=[-.47253381065190935712,.00790016640641952486] 
dist 109=[-.46393072188093285778,.09297717530855027333] 
dist 110=[-.42217858418856316026,.00676101079245137639] 
dist 111=[-.5410221082541922379 ,.40849609285598885005] 
dist 112=[-.2837342398204792624 ,.00107125360778097773] 
dist 113=[-.00913517389286307564,.00018741824994296713] 
dist 114=[-.22091181860828565845,.00299602792740467735] 
dist 115=[-.00641983901567413265,.51242729780548644466] 
dist 116=[6.84849740530100157950e-05,.1874632491893063391 ] 
dist 117=[-.00264012541718544252,.39905330166682727966] 
dist 118=[-.00165060195358120153,.35143987151402609315] 
dist 119=[-.00059782669316084926,.51188234615813388097] 
dist 120=[-.00970855760770374067,.48247569918549049726] 
dist 121=[-.00927233821460279815,.00508432363431324338] 
dist 122=[-.00929936110508981016,.53378119009648391749] 
dist 123=[-.04583061327799775559,.00852294678313013381] 
dist 124=[-.28599258576776167568,.00108390499138091385] 
dist 125=[-.23808411483192066499,.00135267311508004495] 
dist 126=[-.44889330797435268112,.00317870213450719264] 
dist 127=[-.23772815508755574707,.00231511977653328756] 
dist 128=[-.50852242036484403252,.00861034199354703316] 
dist 129=[-.00624947526081913598,.00816488653076212416] 
dist 130=[-.53043454023382520596,.00680265741557917570] 
dist 131=[-.31518968365299190841,.00635455588595080098] 
dist 132=[-.15225263335730415891,.00131515180053058678] 
dist 133=[-.20855990619494816081,.00112963900001499612] 
dist 134=[-.00991599733119452193,.03001806485050987842] 
dist 135=[-.27842235704603103813,.00288326780350827277] 
dist 136=[-.00996452296629299308,.18446674061735079129] 
dist 137=[-.00925785522960817885,.01367186544047821890] 
dist 138=[-.00998914773364930826,.25132641876800985241] 
dist 139=[-.10739548114777440851,.15149191797738769965] 
dist 140=[-9.05422125260445093170e-05,.23695316341215577811] 
dist 141=[-9.71400186843346926390e-05,.21003476933943253923] 
dist 142=[-9.64048562929545362310e-05,.21771529241008247128] 
dist 143=[-.01132980737764057914,.21527773641109140537] 
dist 144=[-9.38841426561737801560e-05,.16294727277227544718] 
dist 145=[-8.66716195026707878370e-05,.00084880431060090236] 
dist 146=[-.00266657571708007346,.12652664466144336257] 
dist 147=[-.2777850443389521681 ,.00467050690722516912] 
dist 148=[-.16629319688322651778,.00214744396470547173] 
dist 149=[-.28874896738940789697,.00492280918608755444] 
dist 150=[-.25920558121909407966,3.51395643851643045630e-05] 
dist 151=[-.31512130739051684592,3.23479446214872014560e-05] 
dist 152=[-.31225991299444573154,7.41281694609917000790e-05] 
dist 153=[-7.01589142675659846480e-05,.00072515737811837406] 
dist 154=[-.30961966924415730004,.04493667914827732994] 
dist 155=[-.10665096344495277475,.26492778340712678954] 
dist 156=[-7.71735651974974674610e-06,.16786034780927164357] 
dist 157=[-.04109077571825168397,.30411712211395808557] 
dist 158=[-1.62580508338929350470e-05,.23863982483176297068] 
dist 159=[-.04137417167801286214,.31689235006141045941] 
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dist 161=[-.00047092412073907865,.00042874781665482372] 
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dist 170=[-.21576380058016777345,.00103497717254383045] 
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dist 173=[-1.08509072715800349480e-06,.01109695854173686901] 
dist 174=[-.02677862346869177168,1.40807983017848935500e-07] 
dist 175=[-.00057812192205787326,.01177684210644783106] 
dist 176=[-.01635361196466078082,1.17920483646747871520e-06] 
dist 177=[-.00057374193177896532,1.43057545812895385560e-06] 
dist 178=[-.01398687721253096266,1.94135794199623452850e-06] 
dist 179=[-.01653772030371818403,.00056619653497472151] 
dist 180=[1.15389621344997490290e-08,.01085681327908491883] 
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dist 182=[-2.18049545771639491220e-08,.01990693303067717573] 
dist 183=[-.01705932830239684583,3.62176020412556730900e-07] 
dist 184=[-6.67078429289554525730e-07,.02845785606172638553] 
dist 185=[-.00158254739540805979,.00130738512850989276] 
dist 186=[-9.78131566288859487760e-07,.02960606195992511932] 
dist 187=[-.00678622295789126523,.01385304913866631012] 
dist 188=[-.01643976783130536801,3.44801281132316255170e-08] 
dist 189=[-.00285112190364984824,.01778603820825838526] 
dist 190=[-.02633566481744576030,4.68021662050022635980e-08] 
dist 191=[-.00087270608237938614,.01764851258138489584] 
dist 192=[-.02944241907384878209,1.20486180048426975280e-07] 
dist 193=[-.00085789794852059949,.00132920212228720225] 
dist 194=[-.03062502408964488941,2.01972893764004113820e-07] 
dist 195=[-.01879426250005538403,.03071257660863918825] 
dist 196=[-.01077666184071722584,4.83787929271508110510e-08] 
dist 197=[-.01265088363096206633,.02271687834128387717] 
dist 198=[-.00223183386188085559,.00481236844137778595] 
dist 199=[-.01741339034876744443,.02932561498723513586] 
dist 200=[-1.10688286572828537790e-07,.01263420874178449807] 
dist 201=[-.00206603813161515730,.00115910000360943089] 
dist 202=[-1.16644020905349788690e-07,.01565838133028266154] 
dist 203=[-.00586458667105851577,.00393582083634284295] 
dist 204=[-4.20704407375073303030e-07,.01527149317947390646] 
dist 205=[-.01553564384114987102,.01109455392618150117] 
dist 206=[-4.78166395074387510390e-07,.01439898405108382426] 
dist 207=[-.01589051120470675433,.01052284472922105410] 
dist 208=[-5.45466829638110726080e-07,.00967275350562063159] 
dist 209=[-.00070535827045501830,.00127914032262101448] 
dist 210=[-.00046389887498725684,.00783494976270313304] 
dist 211=[-.01581040271777041333,.02993776702162881957] 
dist 212=[-.00872288690334891673,.00101270648108608959] 
dist 213=[-.00966702359932692366,.02459512652619502496] 
dist 214=[-.01430402882307395208,2.41354059558109683440e-07] 
dist 215=[-.01506615513904835501,.03019515172538995267] 
dist 216=[-.01826347849577139777,3.39057659462326233620e-07] 
dist 217=[-.00198241961901248264,.00277050508622875885] 
dist 218=[-.01881913567777447868,.00099836956099330958] 
dist 219=[-.02162290825598409561,.01463390534048140031] 
dist 220=[-1.90694634463399376050e-09,.01014974251007546663] 
dist 221=[-.03115604721847692292,.01753132635321030733] 
dist 222=[-2.87095213969718559690e-08,.01506434038966840083] 
dist 223=[-.02949241892251550007,.01875641845413645101] 
dist 224=[-2.46082630120218796130e-06,.01806215737513372599] 
dist 225=[-.00343803986274974490,3.66563834652626865530e-06] 
dist 226=[-4.59213406701239952820e-06,.01887985343323384840] 
dist 227=[-.00385737187055742160,1.53419892711440438810e-06] 
dist 228=[-.00399406437884347168,.01069442376077816213] 
dist 229=[-.00536826668422749075,.00086081474006195437] 
dist 230=[-.00853271562681377017,.00742633100511277810] 
dist 231=[-.00431191276103287748,1.63528386135160645390e-06] 
dist 232=[-.01121017512646179403,.00245448078106544924] 
dist 233=[-.00922809072659934063,6.80090730902636815050e-06] 
dist 234=[-.01185167628422874968,.00046884607222954186] 

8 phat 5 dirichlet min maxes function [1, 1, 0, 1, 0, 2, 0, 0, 2] 
dist 0=[322.03601580078289178   ,322.03601580078289178   ] 
dist 1=[288.71588137128949441   ,331.53890381306565975   ] 
dist 2=[247.93107810617804362   ,330.97943598434468138   ] 
dist 3=[208.91432846867551684   ,325.62718127801023787   ] 
dist 4=[166.84042937807733138   ,308.73690674258231711   ] 
dist 5=[113.26384122273227248   ,224.73490521197967770   ] 
dist 6=[62.586783429924808853  ,194.10887862186036670   ] 
dist 7=[31.561183714536782497  ,170.08861949789825253   ] 
dist 8=[4.2208255166929866268 ,107.63174008804862353   ] 
dist 9=[-38.351745054667981332  ,20.741163977808384680  ] 
dist 10=[-67.069907792397442453  ,-13.736146403931619671  ] 
dist 11=[-80.958046679023688553  ,-16.727961709145287336  ] 
dist 12=[-85.676847484931326005  ,-15.769574032045329989  ] 
dist 13=[-84.496927845856492246  ,.27672325020727300758] 
dist 14=[-72.553265344013254858  ,16.892989991220245926  ] 
dist 15=[-64.840582449854384829  ,32.436977024628105518  ] 
dist 16=[-3.7437936386135196149 ,47.343590645933213925  ] 
dist 17=[.28766198630981000233,57.791790557454232910  ] 
dist 18=[.87682698568206572363,59.622054406889471201  ] 
dist 19=[.35347482643076353625,51.966687927583305341  ] 
dist 20=[-.23752247138566206482,50.770329140528207604  ] 
dist 21=[-.91790184351477751586,41.633462346519136108  ] 
dist 22=[-12.103873558752725027  ,34.252926244444648622  ] 
dist 23=[-23.089668216563312166  ,30.766788976842974450  ] 
dist 24=[-28.775501951181239270  ,8.9840718015408707504 ] 
dist 25=[-31.126367111130835940  ,1.9586841797218241686 ] 
dist 26=[-32.548920803018880634  ,-.68487955569153235769] 
dist 27=[-33.760429164868913796  ,-.38128281535856433497] 
dist 28=[-23.810237623167255189  ,.18217451413669266032] 
dist 29=[-8.7440188287605089314 ,8.0972834188918020235 ] 
dist 30=[-6.8893558900076228203 ,16.925006063323698770  ] 
dist 31=[-6.6045512220352561900 ,22.487964956858444452  ] 
dist 32=[.32524912383482033041,23.935149102251706266  ] 
dist 33=[.25657551325206915388,7.3897986774288061499 ] 
dist 34=[-.09074475135275032571,7.3540344790655892957 ] 
dist 35=[-.31184130087191092759,6.0303825516440922585 ] 
dist 36=[-.51274343964530319228,5.7422348849974770892 ] 
dist 37=[-.79279518229609911413,4.8162745443043026325 ] 
dist 38=[-2.7212121125902187930 ,3.5595331684807029638 ] 
dist 39=[-4.0243844243831976017 ,3.5451085331879419257 ] 
dist 40=[-4.5441032424587864438 ,.65270667998152926953] 
dist 41=[-4.6035795932764139773 ,.57421042948468436227] 
dist 42=[-4.5775619957201323386 ,.69342782809889061206] 
dist 43=[-3.5526780472041949996 ,.04000201064121533719] 
dist 44=[-3.2725640689120721871 ,.79294397989518219929] 
dist 45=[-1.0810924470601978606 ,1.2658324028807706813 ] 
dist 46=[-.80560491630296515936,2.2361770381469614227 ] 
dist 47=[-.89021122937179457314,2.8836021909041958063 ] 
dist 48=[-.6389004891114764102 ,3.1413663386888128336 ] 
dist 49=[-.33865141423808216243,.86027845501334436395] 
dist 50=[-.70700988326532985786,.91810471108111670346] 
dist 51=[-.14312194165852458388,1.0621382054804408978 ] 
dist 52=[-.75860687480394332936,.96627049128231418703] 
dist 53=[-.68544607517099950808,.86836881024308597024] 
dist 54=[-.60734632506736976787,.7491244960932524533 ] 
dist 55=[-.93716680729769125914,.65290416769729736463] 
dist 56=[-.84711737601565229344,.60193611914665236267] 
dist 57=[-1.0763731124154667891 ,-.00054936746745737485] 
dist 58=[-.81147992161733234149,.70469738758938624475] 
dist 59=[-.68684549464324243098,.00813508976566173491] 
dist 60=[-.44552855250585882939,.72862756051179971593] 
dist 61=[-.11606011219308260458,.01836250164449944312] 
dist 62=[-.40546588503466786677,.68096289252051256534] 
dist 63=[-.08430356262175585093,.01954098806266795044] 
dist 64=[-.35829266154539978408,.66332616053078024017] 
dist 65=[.00365106018979133832,.03742881494114905841] 
dist 66=[-.31987115624844404312,.72869161798072263201] 
dist 67=[-.01083737501720349063,.06105156459976585268] 
dist 68=[-.32663510894350687655,.69841439865939292129] 
dist 69=[-.01530591790732786811,.05810186232085555175] 
dist 70=[-.58576994814842520001,.67068257388382522809] 
dist 71=[-.00492288495725926874,.04159612236610935377] 
dist 72=[-.68393475981856774759,.64770865345387662136] 
dist 73=[-.03442929789011508487,-.00015716893688715981] 
dist 74=[-.73039472539175810182,.80280364846359234561] 
dist 75=[-.04734120212934935990,.00201560728478451678] 
dist 76=[-.73457423263274916503,.72059135191267272688] 
dist 77=[-.01358462835365780856,.00346153060951933453] 
dist 78=[-.85866545834926092055,.80982527628133779383] 
dist 79=[-.00977099600767819849,.00278525351643150107] 
dist 80=[-.90747983726077018289,.73903741787755308817] 
dist 81=[.00045942507953064821,.00514891475546933409] 
dist 82=[-.94177025570632162698,.7110588824000668917 ] 
dist 83=[-.00129551650207621202,.00792909851430240149] 
dist 84=[-.95472169789500099139,.69256637027040243804] 
dist 85=[-.00188018808656382937,.00746926053115325465] 
dist 86=[-.49319099895168285108,.33423285053352668568] 
dist 87=[-.00069448420540456625,.00529959768111583199] 
dist 88=[-.48453856957091369574,.33383572385573833494] 
dist 89=[-.00336371945897667820,.37290156728363350668] 
dist 90=[-.45325693890711684762,.34415959215969906054] 
dist 91=[-.00470020235170897796,.36859338722253051193] 
dist 92=[-.44154370662528243932,.00040018930546359812] 
dist 93=[-.00173277319163506812,.38577670761088710685] 
dist 94=[-.32053187469896248366,.00044440116586190693] 
dist 95=[-.00123799369694482348,.36531015400469967924] 
dist 96=[-.30976589633228833353,.00033830556558981550] 
dist 97=[5.26125808522928984200e-05,.34717708909624265186] 
dist 98=[-.29195646299008338043,.00087887974883156714] 
dist 99=[-.00020338896527307763,.35143157454287797482] 
dist 100=[-.3913688214081781149 ,.00093234430649327741] 
dist 101=[-.00029593304045966886,.34639433792185648862] 
dist 102=[-.37358836670216773219,.14568273864191815371] 
dist 103=[-.00034090794721804151,.00063328987916802099] 
dist 104=[-.43082849732244368532,.2350921989398636296 ] 
dist 105=[-.4033647317415710009 ,5.58190735490486166060e-06] 
dist 106=[-.41785293431241789459,.33491126582693668503] 
dist 107=[-.28263174511114049988,.00011956386718584834] 
dist 108=[-.45607106401099812469,.39417484279169963811] 
dist 109=[-.29274819248446149096,.00015498390172857165] 
dist 110=[-.42928753623214904052,.48391397708647397834] 
dist 111=[-.33880873776693374321,.00014691907732404029] 
dist 112=[-.43554378320912015872,.52553621904786458772] 
dist 113=[-.40463315647548780967,.00011793003379354069] 
dist 114=[-.43303524041315069501,.54900430400711419225] 
dist 115=[-.35691438526901579723,.00012054510227207004] 
dist 116=[-.39091772173911127656,.54949628285258841154] 
dist 117=[-.29314507994964745408,.07181466766798776571] 
dist 118=[-.25629383598661563799,.29623061550937519555] 
dist 119=[-6.38747827737779696980e-05,7.95879648978219270560e-05] 
dist 120=[-.36667254499998429021,.30479531597834529775] 
dist 121=[-5.83808111865366226990e-05,.19052664098646679613] 
dist 122=[-.45398869669436766109,.31297946484030744124] 
dist 123=[-7.01767269290409818310e-05,3.43070796136877113320e-06] 
dist 124=[-.4870954138424446914 ,5.10308411895471750830e-06] 
dist 125=[-2.58637478359884414430e-05,5.65001126468895151560e-06] 
dist 126=[-.51767652172807046964,5.61118348558207934330e-06] 
dist 127=[-1.83440121991674350610e-05,5.40481592461243730700e-06] 
dist 128=[-.53398457686468314199,4.33532212948178035060e-06] 
dist 129=[7.57964486561213948520e-07,9.11524238866620303410e-06] 
dist 130=[-.53837401492433320615,1.30452005904103509410e-05] 
dist 131=[-3.19433876975151936820e-06,1.41337020487177204670e-05] 
dist 132=[-.53098476851292894572,1.37984156911629331820e-05] 
dist 133=[-4.39625764426448670500e-06,1.32174627537221623580e-05] 
dist 134=[-.22709350420353686985,1.01185815382586941060e-05] 
dist 135=[-1.29067482098156210510e-06,9.33299781738961494120e-06] 
dist 136=[-.25356346875407585904,1.53830873045339997350e-06] 
dist 137=[-8.12191963156920898060e-06,2.49972441188807483020e-07] 
dist 138=[-.25940719076441788526,.02883200812337593268] 
dist 139=[-1.09971176404056059720e-05,4.88490346016001557730e-07] 
dist 140=[-.00532217444369240820,.20640595692759123559] 
dist 141=[-2.97505308743951369230e-06,7.53706427465922605040e-07] 
dist 142=[-2.19414231231974824870e-06,.20590274521996708095] 
dist 143=[-2.10484905000118891830e-06,7.13113275213796674770e-07] 
dist 144=[1.42437729766670253830e-07,.23080157605654528491] 
dist 145=[9.53683739374266142760e-08,1.15491688120165726730e-06] 
dist 146=[-1.51598607817264103130e-07,.25914105012833347879] 
dist 147=[-3.08028738893043989830e-07,1.74113746875781770470e-06] 
dist 148=[-.02383361026109658110,.27043294400667817942] 
dist 149=[-4.60991943030685577350e-07,1.62389678984288855880e-06] 
dist 150=[-.03948401266343877337,.24686302187913518342] 
dist 151=[-1.66129538001606429560e-07,1.14387933653421495200e-06] 
dist 152=[-.07277791171394022365,.2425766484531885946 ] 
dist 153=[-7.59106545618116452490e-07,-4.67825960714913450380e-08] 
dist 154=[-.07110883822794407877,.23260348738329341725] 
dist 155=[-1.05261324964204458060e-06,5.55582382120391136540e-08] 
dist 156=[-.3221602879692350367 ,.30590903330416194078] 
dist 157=[-3.73968144252443841930e-07,8.86314565065558505980e-08] 
dist 158=[-.32667138359963112091,.30433723230489271164] 
dist 159=[-2.64128748051086971460e-07,8.36644403052510812130e-08] 
dist 160=[-.34732958779659952384,.30663418000237084088] 
dist 161=[1.06682851664809775490e-08,1.30386080758055315070e-07] 
dist 162=[-.35403375654778439259,.30506940345365114554] 
dist 163=[-4.94194516563407742200e-08,2.01864573260989672110e-07] 
dist 164=[-.30193333627780071077,.18557197243516630059] 
dist 165=[-6.76668649478013815630e-08,1.88216803828664405050e-07] 
dist 166=[-.3314104316917895257 ,.2328599951348082909 ] 
dist 167=[-2.04978081293694015110e-08,1.32591811581191815370e-07] 
dist 168=[-.30357772909459610356,.24223790408492721381] 
dist 169=[-1.13397504285416238630e-07,-2.02512605709279589540e-09] 
dist 170=[-.30557275002308830576,.26288414250785952681] 
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dist 172=[-.28641686473322288278,.10339393922131494049] 
dist 173=[-4.42728199082735760180e-08,1.21180871066505908340e-08] 
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dist 177=[1.32526063334253163050e-10,1.65375087775886583390e-08] 
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dist 181=[-7.88932367935957908990e-09,2.33611692097293921400e-08] 
dist 182=[-.21338664880568927676,.19811700823826548681] 
dist 183=[-3.85254818049978423870e-09,1.64333521180790010400e-08] 
dist 184=[-.19575399996948857972,.27450538263647955052] 
dist 185=[-1.01544855240490302930e-08,1.32519073656493359470e-09] 
dist 186=[-.20222754191803595953,.2414630245387679294 ] 
dist 187=[-1.42850198032941056870e-08,3.18321570916869299260e-09] 
dist 188=[-.51746526330767407621,.2681568816958833441 ] 
dist 189=[-6.32466280607148424270e-09,3.97262699223450531740e-09] 
dist 190=[-.53658027489331085766,.31043012613743902904] 
dist 191=[-4.45357941646693366940e-09,3.72165336365888519260e-09] 
dist 192=[-.49023340322047998906,.32963627543217155194] 
dist 193=[-2.11181529465050793240e-09,2.60354742404377417850e-09] 
dist 194=[-.47416664518224497185,.33821487432763869429] 
dist 195=[-1.90903285030913318400e-09,3.56036425349310100060e-09] 
dist 196=[-.29546781251124290663,.33496757029697253652] 
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dist 198=[-.30560873220083005873,.24401600773525941466] 
dist 199=[-1.76628809563110394230e-09,3.51136430660951855850e-09] 
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dist 206=[-.23258286114597499954,.14160030402131552196] 
dist 207=[-4.37411988018231369740e-09,2.19324443651267767840e-09] 
dist 208=[-.32790431550860226227,.22152300861480753426] 
dist 209=[-2.80724100639737236180e-09,2.10746242070942860620e-09] 
dist 210=[-.27644614116297220561,.24518830567438434706] 
dist 211=[-2.80071600971060789120e-09,2.76283493919714521940e-09] 
dist 212=[-.4917530421195402809 ,.45489021612154732995] 
dist 213=[-3.26453634859792795930e-09,3.10006457366604869710e-09] 
dist 214=[-.47978360971290911946,.4552730636079107626 ] 
dist 215=[-1.11084606523994903020e-09,1.80058511401438901410e-09] 
dist 216=[-.54207646142108143447,.41257039878751198179] 
dist 217=[-1.84439637793942152480e-09,.15474735446172784166] 
dist 218=[-.52983148938195783586,.42032336819858106841] 
dist 219=[-2.29521147608318717680e-09,.13139141307122335413] 
dist 220=[-.23452175057278436831,.43224314218256251663] 
dist 221=[-.02377673680744754885,.15073301208564339198] 
dist 222=[-.23809504595130898926,.42279055644689226161] 
dist 223=[-1.61215418097746693720e-09,.19499801122670812558] 
dist 224=[-.22848676269776708113,.51826766982283299081] 
dist 225=[-1.70896118712076538350e-09,.2081091301747902029 ] 
dist 226=[-.23104356967793278903,.50322224863552557081] 
dist 227=[-1.88997797740740064350e-09,.22776449727004994551] 
dist 228=[-.22341754692936403849,.50019934722848756683] 
dist 229=[-.00904519715984586224,.22838936421217484616] 
dist 230=[-.22504160309120888676,.52077248978022669912] 
dist 231=[-1.23101915436311737500e-09,10245726263.815998000           ] 
dist 232=[-.2219362292456411247 ,.5098379697262969978 ] 
dist 233=[-.18738946345846960544,1.27963418546792777640e-09] 
dist 234=[-.22226090088739065909,.48790827693597840156] 
dist 235=[-.01510338115529033253,.01246226341484073490] 
dist 236=[-.24281260840808707551,.42076389774069829514] 
dist 237=[-.00983111437295553736,.02701096584831038636] 
dist 238=[-.24128552919287507391,.41167220419901240327] 
dist 239=[-.05803242299698700205,6.57756858318771532880e-10] 
dist 240=[-.24758765284791806956,.50687672499218019888] 
dist 241=[-.04725042087443003415,.09119455481223189768] 
dist 242=[-.24610120806439645522,.49345167942045770641] 
dist 243=[-.09372857751776865744,3.61794540739073041390e-09] 
dist 244=[-.2481586485630863645 ,.48954640893863741614] 
dist 245=[-.05653603036571362794,.00545656043458090784] 
dist 246=[-.24975604364456825252,.51027661527857118905] 
dist 247=[-1.72901447120288798140e-09,1.91165204186200774660e-09] 
dist 248=[-.24410701878450952791,.50130333627467810289] 
dist 249=[-.13000596907523513332,1.23697002054744163910e-09] 
dist 250=[-.24623877136255345326,.4794027770619976065 ] 

8 phat 5 dirichlet min maxes function [2, 2, 2, 0, 1, 2, 0, 2] 
dist 0=[375.46399489889369552   ,375.46399489889369552   ] 
dist 1=[353.60851778255482791   ,379.92999644806307430   ] 
dist 2=[303.38401251255761256   ,375.46399489889369552   ] 
dist 3=[246.20873826577231642   ,346.18317009949048645   ] 
dist 4=[196.87687889648810874   ,294.27509277699327573   ] 
dist 5=[147.95406781593884451   ,226.78956405316164587   ] 
dist 6=[91.439288469246105938  ,213.96625569832994530   ] 
dist 7=[31.274892827524695092  ,122.17534012170603675   ] 
dist 8=[-23.445645468686088775  ,77.843591669113150382  ] 
dist 9=[-61.865889549821327330  ,2.6616651836811379103 ] 
dist 10=[-83.252043853472560780  ,3.4917325807134129400 ] 
dist 11=[-93.344927925204186886  ,9.6968570894016626187 ] 
dist 12=[-93.704272589748289244  ,18.300417052857520349  ] 
dist 13=[-79.208976857810362724  ,28.378703796883391912  ] 
dist 14=[-75.009960023362003820  ,40.833508387030224807  ] 
dist 15=[-10.101995539507506964  ,50.369500770272372262  ] 
dist 16=[1.0220779417213817693 ,52.062549806180830635  ] 
dist 17=[25.125707681652378719  ,45.710739923365599106  ] 
dist 18=[22.616983310922474897  ,52.359969783395670938  ] 
dist 19=[2.8360912774028696945 ,53.344159238367556550  ] 
dist 20=[-10.732813816292045084  ,51.970417612945087014  ] 
dist 21=[-20.452607811282004951  ,41.057481331724443533  ] 
dist 22=[-25.522672142347404957  ,37.864704392344544508  ] 
dist 23=[-27.641582142590849460  ,13.423376579906916473  ] 
dist 24=[-27.334817483529468280  ,9.6703907703398901146 ] 
dist 25=[-33.319347053515859786  ,2.8139046185615699521 ] 
dist 26=[-35.217544879073579804  ,1.0431050351655442572 ] 
dist 27=[-9.7181110663217316543 ,7.2198771450222633322 ] 
dist 28=[-9.4234636569163974703 ,15.069536903221701045  ] 
dist 29=[-.58314914656030794208,20.025358746717739568  ] 
dist 30=[.90453455293832213933,21.314765474102107309  ] 
dist 31=[3.7671831569999208925 ,6.6255758208893506541 ] 
dist 32=[4.2575727362234821276 ,6.5916910055335429311 ] 
dist 33=[4.6245587114681008303 ,5.9798982593051186783 ] 
dist 34=[2.1113958916478136421 ,5.9078627417339099313 ] 
dist 35=[-.48805849163112468737,5.0277946996432043976 ] 
dist 36=[-2.1890151586796683472 ,4.5539905650796903452 ] 
dist 37=[-3.3339720712646157852 ,1.1172680773273438330 ] 
dist 38=[-3.7974111585867226006 ,.42294080635842673749] 
dist 39=[-4.3776835295230910909 ,-.88198640299728443089] 
dist 40=[-4.6554412835293928667 ,-1.1590029286210265709 ] 
dist 41=[-2.9929262749578708862 ,-1.3199708470941379031 ] 
dist 42=[-2.7581148488049699317 ,-.51110341868962531769] 
dist 43=[-1.1957105263529505420 ,.82226404008562331136] 
dist 44=[-1.0893182998750175781 ,1.6673945810590425945 ] 
dist 45=[-.3607083275075583375 ,2.2111642106954368151 ] 
dist 46=[-.20984412806877662112,2.3646773603883744951 ] 
dist 47=[.08855414839901655611,1.0167635595124833971 ] 
dist 48=[.15195368377342237534,1.1603875866925830759 ] 
dist 49=[-.08795597839839308436,1.1484703844699417212 ] 
dist 50=[-.03635655161627827367,1.1264442154476733852 ] 
dist 51=[-.44368161132793423679,.91363899282201935299] 
dist 52=[-.70627518489229556406,.81202434699466233069] 
dist 53=[-.87948310645829685462,.17052858673929548941] 
dist 54=[-.94289689304591000234,.02240097896724720419] 
dist 55=[-.94661751421411898436,-.11021453613727593164] 
dist 56=[-.88997789342649618694,-.16941983546981098631] 
dist 57=[-.6397914632026012833 ,-.1779001896406097178 ] 
dist 58=[-.32243362988555417823,-.06644202089059663796] 
dist 59=[-.13767496970542504403,.2922863839358495644 ] 
dist 60=[-.13206770598528963649,.25801720173915249502] 
dist 61=[.00117092905781062828,.44655050780105795085] 
dist 62=[.03116519264792355658,.35693512928244948579] 
dist 63=[.00639112277465303279,.16022383287292266555] 
dist 64=[.08299244512565976099,.10403724990319112232] 
dist 65=[-.24995671533463420459,.10677387876019867451] 
dist 66=[.02907796671717746757,.08906688433464953337] 
dist 67=[-.22809932302889032717,.31091110719116643197] 
dist 68=[-.03786047164111467287,.06510946292959137803] 
dist 69=[-.59577212704265180269,.15793080570560481993] 
dist 70=[-.06026422297454315202,.00133705769269456356] 
dist 71=[-.45985683916228109613,.32157339979256738058] 
dist 72=[-.07190565649166288277,-.02129120647611534379] 
dist 73=[-.14468580361848750158,.48807925075897835002] 
dist 74=[-.04126016770702790026,-.00814755799278495303] 
dist 75=[-.02507542795885943196,.56534613221807213249] 
dist 76=[-.01548258858696072536,.0255992620025924006 ] 
dist 77=[-.03209073771406503479,.4927424197908216633 ] 
dist 78=[.00325613469425800338,.03605541759226630307] 
dist 79=[-.26328964930969933379,.32763203286704868989] 
dist 80=[.00961076772560377137,.01338448417455285272] 
dist 81=[-.01065330916084003047,.57973063277028210469] 
dist 82=[.00396774992830057757,.01164172596494631866] 
dist 83=[-.20888442684006309456,.31281958967865580566] 
dist 84=[-.00435631576337681952,.00834998481100092670] 
dist 85=[-.08369124991024045111,.34170954449934685581] 
dist 86=[-.00709042413402080797,-.00028430105357727033] 
dist 87=[-.53466525474360630357,.30708415932007713739] 
dist 88=[-.00728535195668155989,-.00279203696223631240] 
dist 89=[-.26955354790447419114,.57996386031058041615] 
dist 90=[-.00483163203849498036,-.00092783168463640567] 
dist 91=[-.45966449716883804237,.41499844306869998818] 
dist 92=[-.00197074623811154951,.00400097838256111758] 
dist 93=[-.49076040465847996758,.50319658722351538954] 
dist 94=[.00053618503584471707,.00549867883522334035] 
dist 95=[-.21205232184679096812,.31558308209774193398] 
dist 96=[.00135314620104099687,.00159522783348884724] 
dist 97=[-.13385594324472410867,.44356013946438259951] 
dist 98=[.00039676470292910525,.00139871735046890302] 
dist 99=[-.39515155358741919201,6.9933971816148402285 ] 
dist 100=[-.00062511530031894526,.00098521836848454907] 
dist 101=[-.26567758629862039121,.71767822779673679413] 
dist 102=[-.00095141079368935648,5.03797539896349712630e-05] 
dist 103=[-.5286936278367191716 ,.71263238828791832817] 
dist 104=[-.00113181217505808703,-.00027098519254040561] 
dist 105=[-.61289822001643246516,.3465312773277972336 ] 
dist 106=[-.00063544809692337796,-9.54792674451373128130e-05] 
dist 107=[-.71319677500851268413,.2899557897839593376 ] 
dist 108=[-.00023262228804136025,.00040435059413504224] 
dist 109=[-.58030449650768154832,.37393470652975936178] 
dist 110=[-2.62458114104497752770e-05,.00055815145530067038] 
dist 111=[-.62044150526972190116,.05204841346542452075] 
dist 112=[4.22961595882228189260e-05,.00027315308892330303] 
dist 113=[-.56274456745111498104,.03980555206975960207] 
dist 114=[-.02694950630761621906,.00025624845890454055] 
dist 115=[-.37056899042404069531,.03488896190472115111] 
dist 116=[-.02448927248098831725,.00018100502500287878] 
dist 117=[-.29169467939462829913,.03735488785558791708] 
dist 118=[-.01227046492443162948,9.16432398393663858990e-07] 
dist 119=[-.03886655939186900905,.22080825652902385433] 
dist 120=[-.00020027432354743438,-3.91184219791690250690e-05] 
dist 121=[-.00324587132915364872,.44583097398769881536] 
dist 122=[-.00011404358925442805,-1.34224941161358000800e-05] 
dist 123=[-.36771244544550961392,.63684067311480553125] 
dist 124=[-2.94590222244041471400e-05,6.34603451263759945720e-05] 
dist 125=[-.71540392547990590568,.71379692405533866062] 
dist 126=[8.21782636009315585720e-06,.00012065431751099829] 
dist 127=[-.65638676202296255357,2.47905852379138514430e-05] 
dist 128=[1.83250928862577700030e-05,2.41281822777573302790e-05] 
dist 129=[-.58955460338868489399,.00127353896509993078] 
dist 130=[5.40931402429189507350e-06,2.18200483362927600490e-05] 
dist 131=[-.66164629607598356685,.26884218245742217112] 
dist 132=[-3.79556917471250584460e-05,1.97867641956724595950e-05] 
dist 133=[-.68457635605290213696,.1218899850137885466 ] 
dist 134=[-3.75961228854968149100e-05,2.57619293253429963270e-05] 
dist 135=[-.7113584007516085472 ,.53651219431984260228] 
dist 136=[-1.73492681829865290790e-05,2.48850470287477909340e-05] 
dist 137=[-.00197988888039520851,.03866169773657879638] 
dist 138=[-1.88596825625785951590e-05,2.84160945662683378450e-05] 
dist 139=[-4.09335958637072965390e-05,.67325788339096225885] 
dist 140=[-4.84778032681578334600e-05,3.63528041990177118730e-05] 
dist 141=[-.00343629472775710355,.52443697591558453435] 
dist 142=[-6.60841430401541229500e-05,4.23614253369166448050e-05] 
dist 143=[1.95181322957750001620e-06,.67281029116084511229] 
dist 144=[2.13024444402663978140e-06,3.35552563080077351140e-06] 
dist 145=[-.00113498073010071909,.28613051227549953331] 
dist 146=[8.30443729707956247380e-07,2.46192564401371748510e-06] 
dist 147=[-.06013520864748130114,.21406389714018935803] 
dist 148=[-1.19357298571038058310e-06,1.87092372674473498220e-06] 
dist 149=[-.3128877659874576142 ,.16638858046122111294] 
dist 150=[-2.28613634733902525800e-06,-1.02745936665378319980e-07] 
dist 151=[-.31247974821332079496,.00281805230818298852] 
dist 152=[-1.67880705055809452950e-06,-6.23601150438522860360e-07] 
dist 153=[-.34062746254210629471,.00172570404039478323] 
dist 154=[-1.15157523517241835750e-06,-1.93107443883506529050e-07] 
dist 155=[-.41423270567391718211,6.91349946931130478490e-07] 
dist 156=[-4.31247592714236259520e-07,9.52012213361877856160e-07] 
dist 157=[-.40681007737697931224,.05901452208736055004] 
dist 158=[1.30528581927346981720e-07,1.56120743112128682260e-06] 
dist 159=[-.36587842086225164631,.22059756359641207471] 
dist 160=[-5.72062920687659933540e-08,3.79133064092926428100e-07] 
dist 161=[-.00086785109740623495,.3136087981103161768 ] 
dist 162=[-3.61530312672218266550e-07,5.15535004389135995940e-07] 
dist 163=[-.14112656115034150582,.40155713745191480299] 
dist 164=[-1.75527372432334420670e-06,1.30378230912756959340e-06] 
dist 165=[-1.59409152846811525160e-06,.41811105016583782706] 
dist 166=[-1.51369314291604701550e-06,1.92228797243856467710e-06] 
dist 167=[-.06687536917239065550,.28289889840956754283] 
dist 168=[-5.36422031393706792120e-07,1.84698166962704562810e-06] 
dist 169=[-.18916071500012095515,.16373622780906124314] 
dist 170=[-7.97879714062759635390e-07,1.89804542235024534860e-06] 
dist 171=[-.36505858347756494903,.03583765764116697088] 
dist 172=[-2.90145671760393756210e-06,2.01191386101516645180e-06] 
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dist 174=[-4.04283606057993082660e-06,2.15092903227693005020e-06] 
dist 175=[-.41412028974322783405,4.95147294619628422060e-08] 
dist 176=[3.21112167939425540480e-08,4.81937988169403877810e-08] 
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dist 182=[-3.15129922398652953490e-08,-1.97099783073464825180e-09] 
dist 183=[-.05437323655459850818,.41644870044367146676] 
dist 184=[-2.42682113403672311000e-08,-1.00046224331973763940e-08] 
dist 185=[-.00061936511392623119,.02616101245329770367] 
dist 186=[-1.67652612527028100280e-08,-2.33782192248578495730e-09] 
dist 187=[-.01848954025353025263,.03739844923129661898] 
dist 188=[-6.73606908490433165050e-09,1.40034629339846220360e-08] 
dist 189=[-.01610308601572556326,.03890869158500865654] 
dist 190=[1.73216265791349735690e-09,2.19036710226600495030e-08] 
dist 191=[-.02160459619269406946,5.57738692032091703540e-09] 
dist 192=[3.61347025230410259180e-09,5.50251937483929530540e-09] 
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dist 194=[4.36624923324706554680e-10,4.92742850840672870600e-09] 
dist 195=[-.03869228068255353681,.01206947328285965249] 
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dist 197=[-.04024650150726266564,.01458328505382862945] 
dist 198=[-4.07386726034504055330e-09,8.32049078408066665740e-11] 
dist 199=[-.01416234591266407844,.01547655826766423603] 
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dist 210=[-1.46332176019488896830e-09,2.99296774096590849150e-09] 
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dist 218=[-2.24706934300733020780e-09,2.15610404526076311540e-09] 
dist 219=[-.02469880965000395677,.04036146681375383305] 
dist 220=[-1.98331114876196189900e-09,3.04741677231252750650e-09] 
dist 221=[-.02473149267455499336,.02985378935163059563] 
dist 222=[-2.82623780969764195140e-09,3.66352038823759789300e-09] 
dist 223=[-.02288411424390524234,.03853877739388027985] 
dist 224=[-3.49725374695951505020e-09,3.35135844002119669340e-09] 
dist 225=[-.00271511177361697716,.01979704632940989912] 
dist 226=[-4.45145957214029159150e-09,3.26007841547672549630e-09] 
dist 227=[-.00770704589091449586,.02373664491201524898] 
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dist 238=[-3.62318515442898816680e-08,1.87058266032978513330e-08] 
dist 239=[-.01979945341319724611,.03968148973329689684] 
dist 240=[-3.81001214989005902530e-09,2.90347846304838634720e-09] 
dist 241=[-.00260523483094872376,.00364090893056320181] 
dist 242=[-.02214812619455762138,2.69479765727127911250e-09] 
dist 243=[-.02841612284217516813,.01923140346389650464] 
dist 244=[-.03755795686418456893,1.89131164450868286860e-09] 
dist 245=[-.04094426518927523660,.02303910213220388417] 
dist 246=[-.03405488402461908767,2.02045050851726408670e-09] 
dist 247=[-.03875797908123173837,.02464907817229215615] 

8 phat 5 dirichlet min maxes function [2, 0, 0, 0, 1, 0, 2] 
dist 0=[322.75511372887546514   ,322.75511372887546514   ] 
dist 1=[311.79706824772736206   ,319.07620082633242325   ] 
dist 2=[297.60598711125248071   ,322.75511372887546514   ] 
dist 3=[260.37476308864020307   ,286.84058545658946115   ] 
dist 4=[215.19383911112924355   ,278.88734297602380085   ] 
dist 5=[156.19709614950879719   ,177.34429074743343463   ] 
dist 6=[110.09313419997089940   ,158.50305772797282362   ] 
dist 7=[59.514090895047196506  ,108.77201112083751855   ] 
dist 8=[-.60231301403771679701,93.209336694972967364  ] 
dist 9=[-52.642794784564139200  ,18.924459037112637472  ] 
dist 10=[-72.226242188009340058  ,-2.8226534965098562101 ] 
dist 11=[-79.011878471542015916  ,-25.044951326086774394  ] 
dist 12=[-81.254554254784955271  ,-27.374077217526378412  ] 
dist 13=[-26.092874099595053023  ,-8.4175300769900801199 ] 
dist 14=[-24.525684127266490410  ,-.36250548045206396578] 
dist 15=[-18.188638996536860625  ,15.627321312101493129  ] 
dist 16=[-16.284408904649275460  ,32.904712714047061816  ] 
dist 17=[-1.5948449537013415355 ,38.597301730791632642  ] 
dist 18=[2.8636168667074372574 ,40.062325052530157294  ] 
dist 19=[5.5407078223410976187 ,37.523801134614524442  ] 
dist 20=[6.0884651620878790295 ,39.315487768320808764  ] 
dist 21=[-7.1010517063078104765 ,13.757696407284038942  ] 
dist 22=[-20.147958845499254563  ,12.802358140181972599  ] 
dist 23=[-26.302441841737426140  ,9.5210455912781490240 ] 
dist 24=[-35.766289762799728639  ,10.300112886825148745  ] 
dist 25=[-19.923457152330223267  ,.87575657666321244813] 
dist 26=[-16.865621014963610067  ,-.19724277247428213032] 
dist 27=[-26.043440293230409761  ,-1.3033360730673358995 ] 
dist 28=[-17.900130013839858483  ,-1.5382103020482748170 ] 
dist 29=[-3.3352049847867722058 ,8.0860907587037645507 ] 
dist 30=[-3.3544127959414130927 ,1.9732140791118056485 ] 
dist 31=[-2.4936897350571779775 ,14.655047686096540806  ] 
dist 32=[-3.4618565089973037151 ,6.2811716491980481804 ] 
dist 33=[.13267453421917136031,18.217436960909260952  ] 
dist 34=[-2.2976667989305234548 ,5.3857835698616009249 ] 
dist 35=[.80715345905995689269,19.579977470530238919  ] 
dist 36=[-6.4903217924194869522 ,17.126120796491024469  ] 
dist 37=[-1.3833496890636323845 ,6.2157479330255202407 ] 
dist 38=[-2.9207538670494068419 ,14.450039087586804982  ] 
dist 39=[-3.8921824192389166809 ,1.2609555676890128035 ] 
dist 40=[-7.2874650013683448145 ,11.765368329159977969  ] 
dist 41=[-6.4147038566819467515 ,.18386418645154469509] 
dist 42=[-8.9653692062758545336 ,13.969204225157917598  ] 
dist 43=[-8.9028050928312476153 ,-.22471966524076783549] 
dist 44=[-13.118550189544132046  ,13.333087212589052849  ] 
dist 45=[-8.6351056881953087333 ,.07431770049256871363] 
dist 46=[-14.562712016992011112  ,.41010650702229211036] 
dist 47=[-7.9204359715845731316 ,.63808386229829628664] 
dist 48=[-15.244110041326608669  ,.73408309653543209031] 
dist 49=[-5.7710671340385483410 ,.75020574050141042582] 
dist 50=[-8.4057742016211513260 ,7.7276261158573208696 ] 
dist 51=[-4.3906023985060453366 ,.57812740611707565474] 
dist 52=[-14.734657744601698515  ,8.8600543139020608827 ] 
dist 53=[-.14084333295774608157,5.9809999979058176111 ] 
dist 54=[-5.5791837342530856174 ,9.4657205995876338295 ] 
dist 55=[-.41830529589944232479,9.2211388751736155057 ] 
dist 56=[-14.736673087692098417  ,11.267889046758732141  ] 
dist 57=[-8.7055622942201139519 ,11.074901836742562958  ] 
dist 58=[-14.054712890669722347  ,19.823658548575433305  ] 
dist 59=[-3.3337965774005219597 ,10.867254605865340730  ] 
dist 60=[-12.383588123210685777  ,18.773832953180085845  ] 
dist 61=[-5.9654166261968732601 ,.00825531565229257547] 
dist 62=[-.04789295628922694053,.65833975783001711758] 
dist 63=[-8.5827150410946232690 ,.07975194838850305974] 
dist 64=[-.03439813018344191126,.79831132747921452615] 
dist 65=[-10.882313115255059134  ,.09188871098066599541] 
dist 66=[.00494815586952155973,.64740630699000512231] 
dist 67=[-11.378604689234817954  ,.10423535911521070307] 
dist 68=[-.76177625683366567382,.69860290307937085162] 
dist 69=[-6.9405062966670698168 ,1.8497324527509697891 ] 
dist 70=[-1.3999781306214805972 ,.11975363286236209277] 
dist 71=[-4.4906224350740338272 ,5.1475231893360761953 ] 
dist 72=[-1.4488419059560452734 ,.43714653280702866804] 
dist 73=[-1.0395078616607858415 ,7.0294666884954484107 ] 
dist 74=[-1.3314203452470022470 ,-.00071973676037441041] 
dist 75=[-.01841187358324289774,7.6776525991405994561 ] 
dist 76=[-1.4138966208379346571 ,1.0177784220921255929 ] 
dist 77=[-.00573067216479210149,1.0052269867483738716 ] 
dist 78=[-.00553836713123391135,.96321341170740425271] 
dist 79=[-.00420648705614989172,1.0196840548461190426 ] 
dist 80=[-.00395258640585422732,1.1547598351090670336 ] 
dist 81=[.00031786689473374094,.64979140250109833546] 
dist 82=[-.22904090798205830451,1.2018923414930171159 ] 
dist 83=[.00156566957413906863,.56394326345767817523] 
dist 84=[-.59035956390405703829,1.3774585166064846286 ] 
dist 85=[-.41568775489190382304,.00315231480021199729] 
dist 86=[-1.0537210643968144873 ,.22140600950444140687] 
dist 87=[-.7311018003366135491 ,.00230955087166784302] 
dist 88=[-1.1295215028397138810 ,.46267242622536539477] 
dist 89=[-1.0333606460220071863 ,.00018065959384849343] 
dist 90=[-.88192689813526997179,.13590958721844520831] 
dist 91=[-1.0854747233577457315 ,.01567301050078678854] 
dist 92=[-.96650945954579802908,.10674803733045768461] 
dist 93=[-.00072139448585816464,.62322886811638144855] 
dist 94=[-.59352960542694432642,.33538624190966968428] 
dist 95=[-.00052191415541069377,.98759782128773654125] 
dist 96=[-.57275731804910227951,.25501616236508495559] 
dist 97=[2.66222251506781958700e-05,1.1059775174003675312 ] 
dist 98=[-.42574216569028760731,.24720471416787446944] 
dist 99=[.00016029970741994732,1.1514934841711650236 ] 
dist 100=[-.6955111617799895599 ,.85643482559933592807] 
dist 101=[-.00042715734085029186,.46785955279761347817] 
dist 102=[-.78501460294902081306,1.1182238579410249427 ] 
dist 103=[-.23345447342918134328,.16048135729004993105] 
dist 104=[-.89834952760682275486,1.1450404606021687214 ] 
dist 105=[-.54636469720597463858,3.75779251199309771970e-05] 
dist 106=[-.72449838618973361231,1.3136785423418873544 ] 
dist 107=[-.63095543430123112503,-4.29247733783073554440e-05] 
dist 108=[-.89689621443808005579,1.2567734098255607012 ] 
dist 109=[-.5598677430823995292 ,3.98993010020827892110e-05] 
dist 110=[-1.0851271267349521286 ,.55324959148327016265] 
dist 111=[-.52738559250221377932,.00017082010702926356] 
dist 112=[-1.1095689560042982824 ,.55599207721220590771] 
dist 113=[-.39651440199504261772,.00018565300054696250] 
dist 114=[-1.1632132158230668219 ,.47104779856126569849] 
dist 115=[-.33341631263055635751,.00013321029666072033] 
dist 116=[-1.1912807407308482760 ,.76050068637653348737] 
dist 117=[-.09950759271623724736,.39547945340091300185] 
dist 118=[-1.0188535678866075059 ,1.3962764152338682476 ] 
dist 119=[-.05607467364233607980,.55302883968682247208] 
dist 120=[-1.1304301546957120341 ,1.2724771571508248581 ] 
dist 121=[-.88956137498482200611,.69069783455011860994] 
dist 122=[-.96898401539438991815,1.3240366547392275714 ] 
dist 123=[-.55305712454354414311,10.015726494274666002  ] 
dist 124=[-.90068721083014312888,1.2694960507001689828 ] 
dist 125=[-.37383745423395633157,19.411096407464299840  ] 
dist 126=[-5.20778323616304414850e-06,1.38971617745434345930e-05] 
dist 127=[-.622434944509378958  ,17.824988357073861500  ] 
dist 128=[-3.64876246148348856290e-06,2.21131248261423560520e-05] 
dist 129=[-.71448091551649857363,2.12478505873452320480e-05] 
dist 130=[7.48221875215764423240e-07,2.04024493723125037480e-05] 
dist 131=[-7.2344724290836091604 ,12.454778397025388205  ] 
dist 132=[2.10215999057564244880e-06,1.48148196116562537020e-05] 
dist 133=[-3.2602086253248769106 ,16.556289715588281654  ] 
dist 134=[-1.24995371526124724270e-05,3.09160859832639679690e-06] 
dist 135=[-14.494955192502264134  ,19.290951389552518592  ] 
dist 136=[-1.71319149888547551600e-05,2.16862940845046560770e-06] 
dist 137=[-.07624118133596004228,.41497056551700127171] 
dist 138=[-4.77551313596245379700e-06,3.37641835864375706890e-07] 
dist 139=[-18.292781335743046892  ,.44850482537396848336] 
dist 140=[-3.45931064627288700820e-06,0                     ] 
dist 141=[-14.262631312216957131  ,.16086771652188032047] 
dist 142=[-6.48468211801167027420e-07,1.87734257076472568050e-06] 
dist 143=[-18.279621783495721422  ,.07625245878701101817] 
dist 144=[-.09923093626677150917,.33501681404341468753] 
dist 145=[-.03352843406821684304,.09321976039771357029] 
dist 146=[2.26248669301106728630e-07,.7615006512022675756 ] 
dist 147=[3.22547373608828712140e-07,1.7221941425246950770 ] 
dist 148=[-.09050528639264607074,.87052579760436349442] 
dist 149=[-6.04635350264551397490e-07,8.5595414965740270271 ] 
dist 150=[-.14499809089739204366,3.22016624621131781580e-07] 
dist 151=[-1.56645234433594999040e-06,8.5292728790225358801 ] 
dist 152=[-.60084280263970907094,.94700951540695907166] 
dist 153=[-.06685454179180053070,3.13058291798767075720e-08] 
dist 154=[-.99605951405515355475,.4906262297757628908 ] 
dist 155=[-4.54344458105133358800e-07,11.114301577173685823  ] 
dist 156=[-.99561702446372494188,.48810894903774638702] 
dist 157=[-.03686064202128317128,7.4668231968950003639 ] 
dist 158=[-7.84695967929802204270e-08,2.10842691400487456980e-07] 
dist 159=[-5.90148812564233190800e-08,9.7930331157436001514 ] 
dist 160=[-5.50144343018466852780e-08,.7415209350082265514 ] 
dist 161=[-.01880734659096878675,.04921246359897746891] 
dist 162=[2.07828402181850868710e-08,.65007868850359856124] 
dist 163=[-5.3002720394025268289 ,3.7385409568978809578 ] 
dist 164=[3.41546820403129342500e-08,.74567955766503890109] 
dist 165=[-7.5637393885926325701 ,4.65123519116716149920e-08] 
dist 166=[-.86108104413355563628,.06148171441702396253] 
dist 167=[-7.5758804967986435603 ,.32385188579733989421] 
dist 168=[-.95487396394244221617,.69334238544474627617] 
dist 169=[-.11168109563120475554,.05790795417920056268] 
dist 170=[-.86722966059879961427,.56646282930344391709] 
dist 171=[-.08666763008346722217,9.7656640469731689292 ] 
dist 172=[-.98512391083804447177,.64779953898442018612] 
dist 173=[-.138565229481221808  ,10.161230473075740291  ] 
dist 174=[-9.36862577719743160840e-09,2.79768477615263061030e-08] 
dist 175=[-.08683096678812878532,11.091433160549828925  ] 
dist 176=[-.4909570807184840891 ,4.22466886270137860050e-08] 
dist 177=[-.10364438411422804145,.06783484651303023918] 
dist 178=[-.75350125811140642383,3.89951661936650923610e-08] 
dist 179=[-9.3658977319808340180 ,3.6838553931001056056 ] 
dist 180=[-.77481975554236452607,2.77893620412036939520e-08] 
dist 181=[-10.740587447559687890  ,1.5600615447350758836 ] 
dist 182=[-.19925379163111774839,5.81936886397242573920e-09] 
dist 183=[-11.206378051951459270  ,1.5673153784459881946 ] 
dist 184=[-.68122351174180063415,.06500066918426339979] 
dist 185=[-.05214994525767990624,.08581774481728119168] 
dist 186=[-.56184002910786694172,.26613347723244292004] 
dist 187=[-7.33184876460513395330e-09,.51125306615638132401] 
dist 188=[-.50475695547704785358,.28548368178344860712] 
dist 189=[-.05113161353704869927,.42386606109929266818] 
dist 190=[-1.85608879446385361030e-09,3.68092092976195550260e-09] 
dist 191=[-2.13170012063755378590e-09,.51942056736878248855] 
dist 192=[-.39449957399800948042,5.48479396668216403100e-09] 
dist 193=[-.04578404753494090061,.09646000614187687779] 
dist 194=[-.37897310744243844111,.21855753220299790015] 
dist 195=[-.38620551047853772772,.07345342133665892699] 
dist 196=[-.3907265112584655025 ,.23886443699065257268] 
dist 197=[-.44722816045915569883,5.54680688687735255730e-10] 
dist 198=[-.01038700662248724892,.75866272566557316619] 
dist 199=[-.48081418916582756856,.00831383703325169594] 
dist 200=[-.361767241782157545  ,.79827050139967915378] 
dist 201=[-.00371153733287704215,.08359114515874561608] 
dist 202=[-.30679377388256118275,.73047559608210211421] 
dist 203=[-1.61722668882758669240e-09,.78971612933187293795] 
dist 204=[-.33225148060975997196,.80129235677606463491] 
dist 205=[-5.44155278128759102280e-10,.45444952385770804254] 
dist 206=[-3.90755430371886314040e-10,1.63524987593840444790e-09] 
dist 207=[-3.45761059796160876850e-10,.50500471838545478253] 
dist 208=[-4.39249009406007971540e-10,.73117543527005499277] 
dist 209=[-1.07551827537684582600e-09,.09426318356991171449] 
dist 210=[-1.47215912670507413440e-09,1.1561147800262858696 ] 
dist 211=[-.40282442870385813898,.1481815373596390042 ] 
dist 212=[-1.78493445434711592220e-09,1.2009670126722964340 ] 
dist 213=[-.4396141427668985868 ,.21410626707896791249] 
dist 214=[-1.93783275915696470830e-09,.03637597383260633153] 
dist 215=[-.48598962295832976473,.12984800824738970225] 
dist 216=[-.39831003448494126198,1.0786411761126104826 ] 
dist 217=[-.03970659945603577109,1.11947581882974146850e-09] 
dist 218=[-.79678112592432385937,.66285003407184323146] 
dist 219=[-1.0460641298690188194 ,.56064994010860633776] 
dist 220=[-.80698091369589954328,.5165446917861942334 ] 
dist 221=[-.88539175780359024444,.33447071513124580775] 
dist 222=[-1.11118433185245397400e-09,1.96443146601244536310e-09] 
dist 223=[-1.0888502921349745751 ,.50366485992699174839] 
dist 224=[-8.42113764004747691170e-10,.59948654979537710114] 
dist 225=[-.08118397924198380923,1.44921467683866991000e-09] 
dist 226=[-1.02514188565120252340e-09,.49163672713503394504] 
dist 227=[-.27073863100200414828,.07913981932405789710] 
dist 228=[-.01630239010393932137,.58103110729724168538] 
dist 229=[-.50804880460755318142,.31565406970310647655] 
dist 230=[-3.94584738798970268960e-09,.02363946174920609699] 
dist 231=[-.48941010649816507739,.3449354537722782999 ] 
dist 232=[-1.0485247174406406471 ,.50820489957793841313] 
dist 233=[-.07161202997254489398,.01344788366055408629] 
dist 234=[-.93172972257998640214,.41395143064675372511] 
dist 235=[-1.0372916743971079544 ,.58849367545932697047] 
dist 236=[-.93514632732049609498,.53082362558932781628] 
dist 237=[-.0211052070895463993 ,.38697594922553476067] 
dist 238=[-4.72965221766081874590e-10,2.66975089319327652950e-09] 
dist 239=[-2.56902985011396549920e-10,.56847398590737774846] 
dist 240=[-.1441119325767292033 ,.08936318269697928754] 
dist 241=[-.00788480544151974885,.05798653859235838547] 
dist 242=[-.39889676027922785314,3.37105117184104710160e-09] 
dist 243=[-.47430678890255849886,.08692636537889182537] 
dist 244=[-.49903054697558104399,2.36573867021325543080e-09] 
dist 245=[-.5875811040101842213 ,4.14744145946405477610e-10] 
dist 246=[-2.01864928617440199900e-09,4.73361403622783298520e-10] 
dist 247=[-.64263696644012585198,-2.43264530538595175810e-10] 

8 phat 5 dirichlet min maxes function [1, 1, 1, 0, 2, 0, 2, 1, 2] 
dist 0=[325.24314169208110865   ,325.24314169208110865   ] 
dist 1=[288.77165458658934402   ,326.20212395944358791   ] 
dist 2=[234.81717277449667052   ,326.63494124791736499   ] 
dist 3=[212.72316506319826037   ,323.76954737812221611   ] 
dist 4=[151.65953189578860053   ,315.30717192989932355   ] 
dist 5=[116.98493262285978269   ,235.16083987775993907   ] 
dist 6=[65.369206925586635088  ,213.09575658316507423   ] 
dist 7=[33.414301644388036761  ,160.57036196810160341   ] 
dist 8=[6.9366445716576783538 ,142.90781599253675515   ] 
dist 9=[-28.563290188250487820  ,46.345933223220239464  ] 
dist 10=[-40.528583236846266081  ,13.307056785447882215  ] 
dist 11=[-83.965942975130390032  ,-11.302327454767930230  ] 
dist 12=[-91.291005873055450991  ,-12.482867396441715959  ] 
dist 13=[-82.680081451414045535  ,13.152849939706973444  ] 
dist 14=[-81.575214915813620199  ,6.4479463879404078700 ] 
dist 15=[-64.357961239789284403  ,41.552916672477798316  ] 
dist 16=[-61.569478237352225218  ,51.972061607897707793  ] 
dist 17=[-.54863120576847544352,68.312448571031330201  ] 
dist 18=[1.0272389469064864640 ,64.942226127565334386  ] 
dist 19=[1.4077641160114115496 ,59.905250814834303574  ] 
dist 20=[1.1627045519793197262 ,37.791034862304184835  ] 
dist 21=[-16.830243467143565618  ,38.899921802556410203  ] 
dist 22=[-36.306497307988838269  ,37.838608304255169135  ] 
dist 23=[-38.242358169410520308  ,31.330772255110928273  ] 
dist 24=[-31.761173901117167319  ,27.945786761780970359  ] 
dist 25=[-50.718741992224820920  ,14.658626318008801148  ] 
dist 26=[-42.913641431580891264  ,59.933377984620946965  ] 
dist 27=[-38.315394172186121903  ,23.028375583118036927  ] 
dist 28=[-30.839638735543718411  ,52.246221703826727915  ] 
dist 29=[-20.232215353715594738  ,27.981072152889688545  ] 
dist 30=[-17.462989592555984533  ,41.525630890798749229  ] 
dist 31=[-15.400861742379337552  ,25.969521748388757245  ] 
dist 32=[-12.429983027732397903  ,9.0649926309553263484 ] 
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dist 35=[-16.047420029223785951  ,22.203671348895521153  ] 
dist 36=[-16.968252826273784925  ,23.918948744459480539  ] 
dist 37=[-16.970160860882833527  ,22.844461755686166153  ] 
dist 38=[-17.591556787766799370  ,21.435445462188536450  ] 
dist 39=[-18.689349151194495377  ,18.818324254947686165  ] 
dist 40=[-20.530751219288259080  ,15.990583463239969522  ] 
dist 41=[-22.395914691655214768  ,26.476769475334781243  ] 
dist 42=[-23.587746497024389771  ,34.726079240217225672  ] 
dist 43=[-24.369493736702752116  ,39.818996444218760308  ] 
dist 44=[-24.657682301710693557  ,40.958876160120206189  ] 
dist 45=[-2.0593893905473439570 ,.91393753133891452827] 
dist 46=[-2.0300025533101600576 ,.925323446586462124  ] 
dist 47=[-1.7580461663073705420 ,.97315061232820418315] 
dist 48=[-1.6643350398928218208 ,.99380674195266044914] 
dist 49=[-1.6361187805756546619 ,1.0102455098123879334 ] 
dist 50=[-1.5775381889283207615 ,1.0100176888514415332 ] 
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dist 53=[-1.6751406059347142408 ,1.0010057772448909553 ] 
dist 54=[-1.5684205468842721733 ,.9916448412995393496 ] 
dist 55=[-1.4880792854794938473 ,.98553112366708984451] 
dist 56=[-1.4065523000298959549 ,.97705937899226666958] 
dist 57=[-1.1383770919379252110 ,.96773022174408076135] 
dist 58=[-1.0635886185160234835 ,.94398016343359707798] 
dist 59=[-1.1850931036675729808 ,.95696958562418396647] 
dist 60=[-1.1967060810538337195 ,1.3113121201024054133 ] 
dist 61=[-1.0635358460227089742 ,1.6404155765062867890 ] 
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dist 63=[-1.0619930137256489931 ,1.9769392555934882229 ] 
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dist 65=[-1.1235078783846495005 ,2.1956701810539698160 ] 
dist 66=[-1.1444096779395247219 ,2.2742698344016214812 ] 
dist 67=[-1.1497058066861340665 ,2.2655186671265135647 ] 
dist 68=[-1.1533234967678566690 ,2.3791427847989553812 ] 
dist 69=[-1.1440057991478954686 ,2.2607657986719306926 ] 
dist 70=[-1.1418639328570185778 ,2.3509243644738854776 ] 
dist 71=[-1.1304783856525842745 ,2.2558585995728544458 ] 
dist 72=[-1.1163458389059370468 ,2.3035640222433593591 ] 
dist 73=[-1.1375445905417485518 ,2.2454221259010111751 ] 
dist 74=[-1.2323577896076971861 ,2.2306115494688333951 ] 
dist 75=[-1.3065058785560978674 ,2.2059450083344160660 ] 
dist 76=[-1.3458111889003145431 ,2.1972608427063645409 ] 
dist 77=[-1.4197234420171514950 ,.12331055257403847765] 
dist 78=[-1.4676213587053097123 ,.19288076852622505096] 
dist 79=[-1.4903327389202197597 ,.14917604252701996941] 
dist 80=[-1.4989103492235259150 ,.17736381211489040148] 
dist 81=[-1.4999046019686114693 ,.23033793440760652028] 
dist 82=[-1.4714327520412257574 ,.34532027318836036221] 
dist 83=[-1.4667015555353218264 ,.35285011002108366328] 
dist 84=[-1.6324957464977544408 ,.41030535027347081099] 
dist 85=[-1.8649864062090981757 ,.55859770426154848898] 
dist 86=[-2.0231588022688394944 ,.6815374736464597712 ] 
dist 87=[-2.1170772316122923827 ,.76454048490924188804] 
dist 88=[-2.2481115557111265275 ,.81755581756297678733] 
dist 89=[-2.3300244461234109523 ,.88766962226422736102] 
dist 90=[-2.3875904230504079106 ,.93492439514353603296] 
dist 91=[-2.4122137915233873299 ,1.0358166712813436727 ] 
dist 92=[-2.4403288011779847136 ,1.2869245664810340205 ] 
dist 93=[-2.4479158465472702780 ,1.6214858238057978487 ] 
dist 94=[-2.4480308274259889526 ,1.8367641244762712734 ] 
dist 95=[-2.4099138629420357774 ,1.9834607361491893675 ] 
dist 96=[-2.4109223910518637218 ,2.1430701068750390578 ] 
dist 97=[-2.2804748270567299161 ,2.2573175934532556844 ] 
dist 98=[-2.2586167573409841378 ,2.3395617692084341602 ] 
dist 99=[-2.2187406374248862427 ,2.3523564040777276326 ] 
dist 100=[-2.2058932939048308412 ,2.3954409874880659870 ] 
dist 101=[-1.7193926648359028999 ,2.3465467172859612025 ] 
dist 102=[-1.6583760006278574588 ,2.3362870140410222957 ] 
dist 103=[-1.5206765220078617993 ,2.3224577584914032969 ] 
dist 104=[-1.4806676466361847371 ,2.3001458474432045228 ] 
dist 105=[-2.0732574881617177196 ,2.2925205366157430438 ] 
dist 106=[-1.9831792417244083404 ,2.4452529560012345508 ] 
dist 107=[-1.7500444755611556883 ,2.2091333269692425084 ] 
dist 108=[-1.6714343052379616795 ,2.2732028655017572150 ] 
dist 109=[-1.1156612855428591083 ,2.1146128293789161410 ] 
dist 110=[-1.1124880934020121487 ,2.1093467806387372939 ] 
dist 111=[-1.1155858670287338922 ,2.0743466814943228659 ] 
dist 112=[-1.1364819441938218475 ,2.0699551687149492922 ] 
dist 113=[-1.1505837349926673123 ,1.9304303347213584791 ] 
dist 114=[-1.1592268195014675496 ,1.9035195586722158857 ] 
dist 115=[-1.1583395973074900422 ,1.8770591085168112856 ] 
dist 116=[-1.1503009439729858212 ,1.8741197176918445862 ] 
dist 117=[-1.1480363270666413684 ,1.3574435765620323988 ] 
dist 118=[.05136136990139541068,1.2991077995453824527 ] 
dist 119=[.11334151560782259475,1.1694684866346859474 ] 
dist 120=[.04865824659017544049,1.1360726117871295699 ] 
dist 121=[.10644325751968363555,1.0120330507474260573 ] 
dist 122=[.03669795921630859292,.99156638222179019517] 
dist 123=[.09467160878313069977,.95313209809811086001] 
dist 124=[-.20133301468114719889,.94930446025880338402] 
dist 125=[-.55532917286810797534,.10346227759592111302] 
dist 126=[-.79751169324399356201,.08650291780115364098] 
dist 127=[-1.0040258586085457187 ,.08397366048002184971] 
dist 128=[-1.2156836422111490997 ,.07711573949458159587] 
dist 129=[-1.4142929792759748455 ,.07644020948616922376] 
dist 130=[-1.5687362585808876150 ,.06718796954728925434] 
dist 131=[-1.7203158726961644610 ,.06563366970990849418] 
dist 132=[-1.9074983110469278465 ,.06200454890509261025] 
dist 133=[-2.0847203971955656690 ,.06098173069281730740] 
dist 134=[-2.1965532512722962631 ,.06773180289603420940] 
dist 135=[-2.2818410124970231963 ,.01545917289202803217] 
dist 136=[-2.3531341962288647481 ,.05154885740918223036] 
dist 137=[-2.4099327419515374316 ,.00490593533960715306] 
dist 138=[-2.4373796982716675589 ,.04837880935579882988] 
dist 139=[-2.4485751885308191765 ,.11815855433323319914] 
dist 140=[-2.4470334311171882022 ,.55781972160143488091] 
dist 141=[-.15314713417619446308,.99749072885673656987] 
dist 142=[-.15952757729061036688,1.2828951293028132489 ] 
dist 143=[-.16258191534987004047,1.5097931367709874877 ] 
dist 144=[-.16378213072422292529,1.7159863841105646166 ] 
dist 145=[-.16423833141841537032,1.8938618976917818797 ] 
dist 146=[-.16040819712908971482,2.0113566657143454350 ] 
dist 147=[-.16012359042531352358,2.1009190432157919986 ] 
dist 148=[-.15864211530301614499,2.1757039173925552422 ] 
dist 149=[-.15840133975148498549,2.2287602046205223036 ] 
dist 150=[-.04351831171694507236,2.2766950557958919280 ] 
dist 151=[.04454532037401479485,2.2925682084478903491 ] 
dist 152=[-.00975290323611664971,2.3300088952791999512 ] 
dist 153=[.07277906427518024509,2.3402028649694901579 ] 
dist 154=[.01616744483130683081,2.3569002292569358565 ] 
dist 155=[.1005287045783328301 ,2.3522015843292449263 ] 
dist 156=[.02769800873156222557,2.3534917445532734205 ] 
dist 157=[.09598342540878829508,.94647071852779815042] 
dist 158=[.04938817103385711368,.83099077007069877153] 
dist 159=[.08569568544040430230,.55232055840460752189] 
dist 160=[.04472548393517951229,.51230558026524142745] 
dist 161=[-.05918752897910362391,.16209916359065650826] 
dist 162=[-.21355308219630863374,.17343868619096548765] 
dist 163=[-.36500569796818047636,.16304835602256416737] 
dist 164=[-.55196654772767904225,.17563006606951966561] 
dist 165=[-.72896164171314640014,.16196524799396140364] 
dist 166=[-.84209823304704610991,.14612828117994123331] 
dist 167=[-.92581999462484127369,.11668443603609755598] 
dist 168=[-1.0042109423056025202 ,.12900248653574146638] 
dist 169=[-1.0653489234973636543 ,.10317548833544612885] 
dist 170=[-1.0981171113881822577 ,.1210290461326643194 ] 
dist 171=[-1.1164678551583694891 ,.0792368895103310277 ] 
dist 172=[-1.1206381726494920398 ,.10907140901064828124] 
dist 173=[-1.1168804271981204086 ,.07383643326508676784] 
dist 174=[-1.1147595246565310386 ,.08501181234598339296] 
dist 175=[-1.0999672929150324273 ,.02987193815479870239] 
dist 176=[-1.0936306433603949105 ,.06759640018198589925] 
dist 177=[-1.0398351944902922049 ,.01707185388055152604] 
dist 178=[-1.0257858662433004290 ,.05416486227386160980] 
dist 179=[-1.0050911740163732205 ,.00507041165067897294] 
dist 180=[-.99726932468730146873,.04855965255823693886] 
dist 181=[-.79936021185120983228,.00073063548298840005] 
dist 182=[-.77137579043459427294,-.00038900946291931352] 
dist 183=[-.70237603661883442107,-.00033173595516600828] 
dist 184=[-.691216676767743124  ,-.00023435518519074967] 
dist 185=[-.61207334704034997006,-6.13140879669191382000e-05] 
dist 186=[-.59715795870035994975,.06711483383165387925] 
dist 187=[-.55864535057159992532,.20459895869989178059] 
dist 188=[-.54965563776789098295,.43574253490238266427] 
dist 189=[-.17657023317177238816,.65280776408816040224] 
dist 190=[-.1379358249085754777 ,.79646181435540712863] 
dist 191=[-.10376551157169164116,.91378340307202663323] 
dist 192=[-.12944142539201592392,1.0402269567031829332 ] 
dist 193=[-.09737549182627081218,1.1462704849909233780 ] 
dist 194=[-.13127360157181362215,1.2374191579063412961 ] 
dist 195=[-.07919218788289674492,1.2853954066361187386 ] 
dist 196=[-.13139438803686799755,1.3922730259524280476 ] 
dist 197=[-.07556061803386388273,1.4637099566412696034 ] 
dist 198=[-.03797779493281849963,1.4996860314587824339 ] 
dist 199=[-.07341504428540418504,1.5184906500735306740 ] 
dist 200=[-.1302728555355864669 ,1.5224450724483005991 ] 
dist 201=[-.19650914865625717045,1.4979116400186981770 ] 
dist 202=[-.26937279892610038795,1.4906493566005732896 ] 
dist 203=[-.36100795886111237964,1.4854950412750058905 ] 
dist 204=[-.50215490803436491779,1.4818918043032782098 ] 
dist 205=[-.65079181037131179102,.12582774548966226977] 
dist 206=[-.76748734978328120273,.18605249592592252888] 
dist 207=[-.84148650657746535152,.13150008035034769855] 
dist 208=[-.94832331355185769603,.20647233360268828432] 
dist 209=[-1.0209505924997993677 ,.13504961831709510291] 
dist 210=[-1.1224661025701792933 ,.19211901131068694882] 
dist 211=[-1.1800257828334794886 ,.13715424843794923304] 
dist 212=[-1.2922010541675761503 ,.20269300041987212844] 
dist 213=[-1.3700616857692263152 ,.13737670025069785084] 
dist 214=[-1.4151914870369773915 ,.10519442495086617305] 
dist 215=[-1.4451246592420076432 ,.00143965098798432214] 
dist 216=[-1.4622902265062510710 ,.10287354886197808651] 
dist 217=[-1.4700103602654007819 ,.00138762904971490759] 
dist 218=[-1.4714309484320699551 ,.12585023732353354307] 
dist 219=[-1.4633135525387117262 ,.00129783521205552024] 
dist 220=[-1.4564117689447007327 ,.12225054589601523063] 
dist 221=[-1.0410009416699767911 ,.21701972638259170849] 
dist 222=[-1.0024321359372663736 ,.36068467176041862959] 
dist 223=[-.9026572912165779524 ,.47805999807876263579] 
dist 224=[-.88636477603690934248,.5901647818991308605 ] 
dist 225=[-.72123061035572588206,2288230699.0569087415          ] 
dist 226=[-.68861939640488801212,.7595690165097954639 ] 
dist 227=[-.64936678077666018628,.81963604109175293131] 
dist 228=[-.63690567718608587468,.88270843388739978227] 
dist 229=[-.32272343359257251665,.93691234105275372428] 
dist 230=[-.28258114121029496414,.97401626923116146999] 
dist 231=[-.18920654077510723864,.99329937210947104915] 
dist 232=[-.17515061355181476192,1.0175557655630622544 ] 
dist 233=[-.08714175787880943754,1.0292141892328332534 ] 
dist 234=[-.079298070581166926  ,1.0329222561253877127 ] 
dist 235=[-.07793872492322179809,1.0309739822826211239 ] 
dist 236=[-.07701363162664364050,1.0269536820666933216 ] 
dist 237=[-.07625743575673299477,.10353960303531534376] 
dist 238=[-.07434689443281979293,.11759859684110518271] 
dist 239=[-.07375530830911311872,.11255848326977900037] 
dist 240=[-.07079971429097711202,.13398430933781634737] 
dist 241=[-.06916256575980080760,.11841810080399628471] 
dist 242=[-.05912395547228710701,.14977902528131358895] 
dist 243=[-.05618590561321331512,.12344138499982938957] 
dist 244=[-.05906814392282247184,.15361483535436917971] 

8 phat 5 dirichlet min maxes function [0, 0, 0, 1, 2, 2, 0, 0, 1] 
dist 0=[344.23366436516160220   ,344.23366436516160220   ] 
dist 1=[302.64504758574118333   ,356.17978575608791190   ] 
dist 2=[250.74346933513137267   ,362.41739946852803259   ] 
dist 3=[205.18291264561152977   ,364.03256657331301089   ] 
dist 4=[159.62552489823449654   ,355.13782960087810194   ] 
dist 5=[106.67664870225900365   ,268.90875029978878878   ] 
dist 6=[57.754295749875179438  ,248.06768103075653757   ] 
dist 7=[27.561535113480732346  ,175.56416462085577843   ] 
dist 8=[-17.541123935579226805  ,164.35581102914766944   ] 
dist 9=[-40.357973020657853243  ,11.511978052416044793  ] 
dist 10=[-51.936886270676160570  ,5.6430512545041062941 ] 
dist 11=[-69.353091402295880730  ,4.8317754655370621837 ] 
dist 12=[-80.065110099955312685  ,3.0636068478820175219 ] 
dist 13=[-80.055708151056106641  ,1.8252841263868938152 ] 
dist 14=[-78.094207376507029567  ,6.5068695980512161825 ] 
dist 15=[-63.117201460133667789  ,18.336729967498161703  ] 
dist 16=[-56.953394151306190883  ,26.565997525468516723  ] 
dist 17=[-11.968552312848843342  ,28.466130970898219686  ] 
dist 18=[-3.2269537896105316713 ,41.118271946906293831  ] 
dist 19=[-.94267333697535098063,54.875601501810380149  ] 
dist 20=[.96454075292062382014,57.496426883261580108  ] 
dist 21=[-4.1288057914252109256 ,17.019191517698962270  ] 
dist 22=[-9.9450636986499437582 ,16.655182166859812331  ] 
dist 23=[-13.460767918571314580  ,13.608861547879092437  ] 
dist 24=[-15.322860899572446282  ,12.350003621874221292  ] 
dist 25=[-15.341859512354000263  ,9.4428923913123960522 ] 
dist 26=[-13.507307407441538543  ,3.0817017101408413710 ] 
dist 27=[-13.405425397718962178  ,1.5623576906215107112 ] 
dist 28=[-14.441397141492224130  ,3.7080741112123947021 ] 
dist 29=[-14.417070928411877673  ,8.1641024660507955710 ] 
dist 30=[-7.9217774143808546419 ,10.986369147092738042  ] 
dist 31=[-6.3299657764945177341 ,11.867667690646772264  ] 
dist 32=[-6.0832724501706928733 ,3.7647626466949392905 ] 
dist 33=[-.97774374451383170509,3.7947999137714080797 ] 
dist 34=[-.7179049752534843972 ,4.4361315150712170799 ] 
dist 35=[1.3365893386312277089 ,5.8028700061313847493 ] 
dist 36=[-.14685568600073117392,6.1574110757155185951 ] 
dist 37=[-1.1335507865415361559 ,1.9178335316013846408 ] 
dist 38=[-1.8126340076491112184 ,1.8618535237899427840 ] 
dist 39=[-2.3146568938903975233 ,1.4427971670517934833 ] 
dist 40=[-2.1856413098032304844 ,1.6444480427933569099 ] 
dist 41=[-2.4956641306630818826 ,-.03369895343687485499] 
dist 42=[-1.7008862264515523080 ,.25762197194700239864] 
dist 43=[-2.0269981643753354768 ,-.37438484544365273731] 
dist 44=[-1.9442718923228878343 ,.39247356620446657566] 
dist 45=[-1.0713103894115946176 ,1.4064644054498579077 ] 
dist 46=[-1.5361534777043228373 ,1.2066871441759918703 ] 
dist 47=[-.79186201509948016295,1.9337475689943143463 ] 
dist 48=[-1.2891533333960214427 ,.71789902416226496089] 
dist 49=[-.05643338762753168077,.73593850130679705021] 
dist 50=[-.57119713390389997197,.91688015938131846525] 
dist 51=[-.30705470944018749853,.64302736499297633108] 
dist 52=[-.34048391568626487184,1.1178757013650032803 ] 
dist 53=[-.7293932473274132217 ,.23877086895335830592] 
dist 54=[-.23129173615318230971,.23175537059757262671] 
dist 55=[-.97540699112683351961,.17555850922798717842] 
dist 56=[-.27021436154342654401,.87095746304417204244] 
dist 57=[-.99211294553513231833,-.01974271742941430329] 
dist 58=[-.21509885503309776161,.64179140137380470849] 
dist 59=[-.94578440763121419894,-.04118805798547500663] 
dist 60=[-.12160880085179900091,.54285198094125842775] 
dist 61=[-.76033189887855570113,.36774362561604375562] 
dist 62=[-.1151443474204002709 ,.42978583050827144909] 
dist 63=[-.70481482816539446905,.70866410418860692837] 
dist 64=[-.08208798851286960807,.39053312285743821641] 
dist 65=[-.01304876210136641239,.06213336400097235476] 
dist 66=[.00962253634507622828,.42005193326442045385] 
dist 67=[-.8215215879998595307 ,1.5256293739755335748 ] 
dist 68=[-.01488788750835850591,.40746880199872070419] 
dist 69=[-.8697676586160336187 ,1.6581602162556096976 ] 
dist 70=[-.03231612463321777844,.02674087323507972843] 
dist 71=[-.84979284986959344074,1.6892584564487242824 ] 
dist 72=[-.73688402970081983602,.16028402803185836095] 
dist 73=[-.84656366553795739368,1.6665165347489772353 ] 
dist 74=[-1.0274534737598829621 ,.12393875968658658281] 
dist 75=[-.84553438000109720464,1.6538468433970924115 ] 
dist 76=[-1.1824492148921134232 ,.106717631568083981  ] 
dist 77=[-.8293333878707862754 ,1.6225783891113903283 ] 
dist 78=[-1.0668048535406633277 ,.02018193697795447303] 
dist 79=[-.77172604730462727417,1.6031032436974741972 ] 
dist 80=[-1.3924089355711298974 ,.00826255561981512362] 
dist 81=[-.00088867119063523614,.00805716552667559492] 
dist 82=[-1.3086958017029821663 ,.00661764494259288613] 
dist 83=[-.72379386670949833169,.00868263667712620666] 
dist 84=[-1.2674937918162669954 ,.0732988159239603506 ] 
dist 85=[-.70744950039440571747,.00347759487101870270] 
dist 86=[-.00383682891248611285,.00336243665666526182] 
dist 87=[-.99614414211379114472,.00252053267901046841] 
dist 88=[-.00422487311052422921,.63624779760788005299] 
dist 89=[-1.3871656260704979990 ,-.00029027189229198485] 
dist 90=[-.00326662014772942821,.77857492933526162777] 
dist 91=[-1.5556793813696175228 ,.10631943824550231825] 
dist 92=[-.00179402865409850166,.84796969501228580649] 
dist 93=[-1.6833158261695935961 ,.41881572032693472439] 
dist 94=[-.00168292761261501141,.98393752836764281082] 
dist 95=[-1.7261306049936690792 ,.6976825836657277851 ] 
dist 96=[-.00119099323583779945,1.2458289548722629805 ] 
dist 97=[-.00018137445773694073,.00096608191189984632] 
dist 98=[.00015062267912186904,1.2028082393419826717 ] 
dist 99=[-1.7507251833083798232 ,1.3975410393136865175 ] 
dist 100=[-.1631666295581998157 ,1.1735108825457808763 ] 
dist 101=[-1.6694754788431993114 ,1.5570432033466434918 ] 
dist 102=[-.00051760423896700093,.00040440104598558549] 
dist 103=[-1.6339288986755098567 ,1.6818998341246951434 ] 
dist 104=[-.69718941471584184709,.96083303193654685945] 
dist 105=[-1.2630974638902298929 ,1.5873913452796936673 ] 
dist 106=[-.84273553476923051576,.91487432875840349086] 
dist 107=[-1.1249186989753330484 ,1.5738629140872013465 ] 
dist 108=[-.89999339534539183452,.87923413452270865597] 
dist 109=[-.99597613916420999786,1.5601481072893586009 ] 
dist 110=[-.5385190613188374554 ,.29997905977569851889] 
dist 111=[-.89642795009870441771,1.5811734758873399087 ] 
dist 112=[-.92613989059499368773,.39918223974680773589] 
dist 113=[-1.58812518432992346750e-05,.00017203255123247357] 
dist 114=[-.83674258411305781327,.51809789908540249407] 
dist 115=[3.54322133898147334060e-05,3.0437332373771233670 ] 
dist 116=[-.7973002101869589305 ,.55437592656127123041] 
dist 117=[-4.10813280915681273010e-05,3.0689984327666241502 ] 
dist 118=[-5.99494541070631386340e-05,4.96879354989378613940e-05] 
dist 119=[-6.55660342125197798920e-05,3.0340201387165935495 ] 
dist 120=[-.26187356067493236124,3.51585946110334918920e-05] 
dist 121=[-6.19003188133191263380e-05,1.6652910026955483376 ] 
dist 122=[-.31720748252729958512,-1.70320740430994010440e-05] 
dist 123=[-4.40248680929911383880e-05,1.5402558610922097288 ] 
dist 124=[-.529298217740849726  ,.16184025062371504795] 
dist 125=[-2.59410693774810266160e-05,1.7120528247009277191 ] 
dist 126=[-.62470826588696173871,4.79943275730323427520e-05] 
dist 127=[-1.96302416014676768340e-05,1.6714353513269101584 ] 
dist 128=[-.96610840636093127231,1.49104778178187240770e-05] 
dist 129=[-2.59995246141166194620e-06,1.44100586234261527110e-05] 
dist 130=[-1.0496709294094980667 ,1.49950678136144804360e-05] 
dist 131=[-2.2233589587263050903 ,1.93679130902811561470e-05] 
dist 132=[-1.0802431698009800866 ,2.05019601245593048170e-05] 
dist 133=[-2.3494666760149205990 ,.24761362089212786748] 
dist 134=[-7.82734660647228575470e-06,5.75218965385999562900e-06] 
dist 135=[-2.5723598410249206825 ,.30145205769518485542] 
dist 136=[-8.25123185672743498370e-06,.88060813359855170993] 
dist 137=[-1.4226965230929326584 ,-3.89378788873877778120e-07] 
dist 138=[-6.04581478873758384200e-06,1.0635099649937164807 ] 
dist 139=[-2.5590554938808753435 ,.88090655598844973297] 
dist 140=[-3.39127096211283095750e-06,1.1193981960811007247 ] 
dist 141=[-2.2344342941308978296 ,1.4308215623753139218 ] 
dist 142=[-3.15965548691123693540e-06,.51073924992547816878] 
dist 143=[-2.1592741517175018286 ,1.7654839197007268092 ] 
dist 144=[-.28019767832041570105,.65737360100777514286] 
dist 145=[-1.69865318124591524670e-07,1.82941431252413477240e-06] 
dist 146=[-.38389575480655704803,.57387440674813323034] 
dist 147=[-3.5022121214381798833 ,1.7249930457767004777 ] 
dist 148=[-.50822850915943812882,.46805469180318320934] 
dist 149=[-6.24688003155085396340e-07,2.1350518876289316103 ] 
dist 150=[-9.01841986495746989200e-07,7.26995218694731554630e-07] 
dist 151=[-9.79932048815949392310e-07,2.2146345084019347395 ] 
dist 152=[-.51301892298375942818,.38104350623888244071] 
dist 153=[-9.16144769001124654150e-07,2.2884922954100081785 ] 
dist 154=[-.20666638601671084159,.6227859704431348982 ] 
dist 155=[-6.49593479540909153610e-07,2.2950211066460572668 ] 
dist 156=[-.21639609277651988076,.60718823374694119204] 
dist 157=[-3.80605186057177301230e-07,2.4141702402217037462 ] 
dist 158=[-.53764663661886381512,.6986778096816372917 ] 
dist 159=[-2.86339724943303561250e-07,2.3875380149557366785 ] 
dist 160=[-.3052594107350012011 ,.80747157960600553409] 
dist 161=[-3.34910986222580288930e-08,2.14772093995338130660e-07] 
dist 162=[-.45111501162689160624,1.1929774598928025423 ] 
dist 163=[-.83924112711013304141,2.78222983582871041770e-07] 
dist 164=[-.45068597638527281143,1.1736687991012580614 ] 
dist 165=[-1.5322207746617590714 ,.09499051876688543652] 
dist 166=[-1.18686671472371097270e-07,9.10572822961849066770e-08] 
dist 167=[-1.6482339670907100873 ,.11468762801548212874] 
dist 168=[-1.0297433850593815541 ,.74259868621278720128] 
dist 169=[-2.1663253436145232351 ,.26262792153386367559] 
dist 170=[-.82926408227835387491,.77263557790549351319] 
dist 171=[-2.3261696780493435353 ,.14227217162235490297] 
dist 172=[-.93917501619428247594,.82031309533389829639] 
dist 173=[-2.4144804381287389657 ,.04519887851927528203] 
dist 174=[-.73650999131646213724,.53383136333323104313] 
dist 175=[-2.3976005423595624451 ,.01995154390491654283] 
dist 176=[-.99058600518598893648,.98686303488424140983] 
dist 177=[-2.02146725876773060370e-09,2.55894573813606051120e-08] 
dist 178=[-.97009243601019341615,.99126300996434014655] 
dist 179=[-1.2508372369843796273 ,2.83055385411585022040e-08] 
dist 180=[-.93705393640787366331,.93631932119057117204] 
dist 181=[-1.3515652156916593651 ,1.33950253067416535710e-07] 
dist 182=[-1.34507352268005512270e-08,1.31344261079701395670e-07] 
dist 183=[-1.4602953228487002086 ,1.13805995006032117300e-07] 
dist 184=[-1.56850746800750416750e-08,.32819503491723920857] 
dist 185=[-1.1693890524377374569 ,5.61077387511880409520e-08] 
dist 186=[-.24387561871068436265,.51151815023368506396] 
dist 187=[-1.1162673431390239683 ,3.48299430547381700540e-08] 
dist 188=[-.24309851905112594892,.51068572157623352104] 
dist 189=[-.92685782954988289345,9.99512360420498138210e-08] 
dist 190=[-.139163027625105139  ,.75934881855500846705] 
dist 191=[-1.1113529985975318641 ,.15445311916388111579] 
dist 192=[-.21585154549771454012,.77744945488654786095] 
dist 193=[-1.67563223262887846040e-07,2.23417389134049799590e-07] 
dist 194=[-.28006382508510891651,.73869568084630275225] 
dist 195=[-.6363185272646581353 ,1.4712426918986500349 ] 
dist 196=[-.3785762455071672817 ,.77352021689855482188] 
dist 197=[-.83035628584029158782,1.5488219736837150364 ] 
dist 198=[-1.59523914505774287960e-07,1.63717296225829911880e-06] 
dist 199=[-.84458479144440680612,1.6499729999784086885 ] 
dist 200=[-1.3960925732591332511 ,.82530821435798614105] 
dist 201=[-.27150674424262858275,1.3269179594244856426 ] 
dist 202=[-1.6355821586649183764 ,1.0405789207128766530 ] 
dist 203=[-1.0586464781311074080 ,1.5938464260580171004 ] 
dist 204=[-1.6354887757578161630 ,1.0947231458691859010 ] 
dist 205=[-1.1717797857511415803 ,1.4300404842804658918 ] 
dist 206=[-1.3754553368291307286 ,.86636335485578949359] 
dist 207=[-1.2840462332096494582 ,1.4738420691520437279 ] 
dist 208=[-1.6538663396830515125 ,1.1472690578670209514 ] 
dist 209=[-1.98366046952121755870e-06,2.58342537209948786790e-06] 
dist 210=[-1.6121796767044051438 ,1.1361565831090980049 ] 
dist 211=[-.7835534205087250266 ,4.11835634278814268980e-06] 
dist 212=[-1.5394405906552682795 ,1.1075583140464606928 ] 
dist 213=[-.98229415079514393808,6.88907687040189801590e-07] 
dist 214=[-6.77549334712291685910e-09,5.90202517068249012230e-07] 
dist 215=[-1.0278334221818103716 ,1.25584891602986346990e-07] 
dist 216=[-1.4036328507834558035 ,.07704146756578527640] 
dist 217=[-1.4225516821690494838 ,1.19732065336339741630e-07] 
dist 218=[-1.6373067077456505426 ,.23726610059634562567] 
dist 219=[-1.4279147231902850668 ,1.00404232636001460330e-07] 
dist 220=[-1.6353413915265876328 ,.24096157952677597267] 
dist 221=[-1.5172883081866724719 ,3.06838866591441357080e-07] 
dist 222=[-1.3771057468074404350 ,.64784345653409542773] 
dist 223=[-1.5792212746162406417 ,3.69342492206848306520e-07] 
dist 224=[-1.6012865373387517978 ,.6410956144363277156 ] 
dist 225=[-1.79035102643491745690e-08,3.28764378891507035840e-06] 
dist 226=[-1.5493870136370345815 ,.69573541653309617563] 
dist 227=[-1.1159437145477202878 ,1.2302653328756375556 ] 
dist 228=[-1.4749995582448937234 ,.71534360881760723124] 
dist 229=[-1.1694009350851420543 ,1.2732710329846429789 ] 
dist 230=[-3.86783436994506906570e-07,7.96864066694208711980e-06] 
dist 231=[-1.1344935200669649137 ,1.3800698131740846566 ] 
dist 232=[-.88838115064427356775,1.7236003987253817970 ] 
dist 233=[-.76678878127926435164,1.5019651503842600675 ] 
dist 234=[-.73700712146060926346,1.6365128735056051119 ] 
dist 235=[-.76148581535639241161,1.5065604281568196553 ] 
dist 236=[-.76947363981124876449,1.5893404919023772872 ] 
dist 237=[-.84834701280496655446,1.5376926963826720773 ] 
dist 238=[-.76317502810906212196,.96345708883230859144] 
dist 239=[-.68012509725231193378,1.5001379150500394908 ] 
dist 240=[-.94476391420585855348,1.4923588923509752835 ] 
dist 241=[-6.30409461300859904220e-07,4.60018682881821845980e-05] 
dist 242=[-.96513228530172789458,1.6597554995502253268 ] 
dist 243=[-1.68219992392489836530e-05,5.95656839954122041600e-09] 

8 phat 5 dirichlet min maxes function [1, 1, 1, 0, 0, 0, 2, 0, 1] 
dist 0=[374.12432687211415203   ,374.12432687211415203   ] 
dist 1=[354.88025957236538435   ,386.05003415195628835   ] 
dist 2=[301.38707571299913334   ,392.26016833946065660   ] 
dist 3=[234.68571832281269906   ,386.70287991557888102   ] 
dist 4=[180.19713819951057582   ,305.91429768346029317   ] 
dist 5=[129.00581178403718842   ,285.07920913687289134   ] 
dist 6=[74.327662626591204965  ,206.46606677137400042   ] 
dist 7=[25.586820724887282752  ,194.90299366582109788   ] 
dist 8=[-23.756981987152341462  ,13.086932156325748829  ] 
dist 9=[-45.201298722464792045  ,-5.6490429095165761765 ] 
dist 10=[-74.941285976775403124  ,-2.7701446462110026586 ] 
dist 11=[-88.584836028006118630  ,3.8809313747487647368 ] 
dist 12=[-91.377300374941834206  ,8.8285812395047502174 ] 
dist 13=[-88.913127003242447215  ,11.929712821370820779  ] 
dist 14=[-74.192654297526904498  ,11.144600342451498749  ] 
dist 15=[-66.042782895615052900  ,13.793021594048465836  ] 
dist 16=[-13.694265871369435764  ,21.644748956175331147  ] 
dist 17=[-3.5778936907219858008 ,45.447965053319639416  ] 
dist 18=[-2.6259351564228360437 ,61.002727041332992135  ] 
dist 19=[2.2682760461484682489 ,64.477722180964228287  ] 
dist 20=[2.8246938559924252544 ,21.997835093668167208  ] 
dist 21=[-4.0626221205982078645 ,19.679866005480971701  ] 
dist 22=[-9.0388747064544864784 ,17.456297426810502546  ] 
dist 23=[-12.243287685291078222  ,14.847563228807992861  ] 
dist 24=[-13.929890167371789123  ,5.4843009453698683153 ] 
dist 25=[-15.580734470298395904  ,2.2269924473281124373 ] 
dist 26=[-12.355965243963887868  ,3.8753108255283187765 ] 
dist 27=[-12.114774124404140903  ,1.6502602885211094861 ] 
dist 28=[-11.186362439362119655  ,5.2940453597329431374 ] 
dist 29=[-9.5172933212320748738 ,8.7252982307303861943 ] 
dist 30=[-9.3805621359227739396 ,12.262716364381664075  ] 
dist 31=[-7.4186517725808652704 ,12.098627197081139122  ] 
dist 32=[-2.8793222480029589034 ,4.8563162055898332073 ] 
dist 33=[-.06786479871317069344,4.3901440586313287831 ] 
dist 34=[.13107575889344985785,8.2024724981776097761 ] 
dist 35=[.1183388179314342363 ,7.1038170956229125932 ] 
dist 36=[.07793015293080239289,2.4251089638853082557 ] 
dist 37=[.02093186773774717048,2.2794430828315419254 ] 
dist 38=[-.05870789815537291084,1.8213742231779843424 ] 
dist 39=[-.12376279446569930069,1.7398154341556999053 ] 
dist 40=[-.41242180600375588981,.05461966232886235462] 
dist 41=[-1.8662653946909319181 ,1.0283893093516006834 ] 
dist 42=[-2.1737368683872515654 ,.01557906078722092886] 
dist 43=[-2.6598216723596486360 ,1.4305258714891055810 ] 
dist 44=[-1.5467016926914589879 ,.19952115810115099129] 
dist 45=[-3.3291598513093065973 ,1.3225803238742885761 ] 
dist 46=[-1.9869478937438973200 ,.27475102347166162265] 
dist 47=[-2.8982449145752891046 ,.24839680119433856955] 
dist 48=[-.69943855622295111079,.41805739444805882375] 
dist 49=[-2.1027702716236433285 ,.68468600863334230393] 
dist 50=[-.95373188216376587092,1.1789079436449568801 ] 
dist 51=[-1.5961679888137787251 ,.94229808085054645085] 
dist 52=[-3.0691967682787743298 ,2.0243553206502442107 ] 
dist 53=[-.15524278647539108278,.92856521732199248725] 
dist 54=[-3.1032366895330742655 ,2.6907271566231142343 ] 
dist 55=[-.15642796980474698281,1.3617162607829991885 ] 
dist 56=[-3.7024083799981639349 ,2.5762984018726408822 ] 
dist 57=[-.14893442719160355474,1.1000951479849197664 ] 
dist 58=[-3.8639362865250793252 ,2.4018169417638064875 ] 
dist 59=[-.1568921638087724895 ,1.2073608019074186181 ] 
dist 60=[-3.6018812620814005915 ,3.5441540426545947397 ] 
dist 61=[-.14439478706916345971,1.3160430113605758322 ] 
dist 62=[-3.5002873534159339346 ,3.6281879969322500585 ] 
dist 63=[-.1056194857140158569 ,1.6658982538308608673 ] 
dist 64=[-3.7628173555887805071 ,3.4627057043014382705 ] 
dist 65=[.00479020673503357807,1.6091298278065494840 ] 
dist 66=[-3.5931317457470982261 ,3.4859208803176283886 ] 
dist 67=[-.00222736554754019061,1.8331662644954605449 ] 
dist 68=[-3.1965927912597464512 ,2.7589497663782585867 ] 
dist 69=[-.01779470016843888132,1.8375335669154712879 ] 
dist 70=[-3.1308803369698454284 ,2.2328607078627360947 ] 
dist 71=[-.02017168135497920464,1.8866634193369305540 ] 
dist 72=[-3.5228147672846414196 ,1.3345519418245788751 ] 
dist 73=[-.01583143151200634727,1.8304365219324985181 ] 
dist 74=[-3.5821839263832035580 ,1.3315907231930281220 ] 
dist 75=[-.02086149384963751898,1.7928672984148219248 ] 
dist 76=[-3.3120900293094750861 ,.21307908308582662938] 
dist 77=[-.01673027015448388824,1.7460443791346817322 ] 
dist 78=[-3.2422799603298430251 ,.4338549460248107538 ] 
dist 79=[-1.3188415003441117889 ,.00471437474501022276] 
dist 80=[-3.6132576057691530381 ,.00537354202428122996] 
dist 81=[-1.7953756182529392929 ,.01016603606530332984] 
dist 82=[-3.4985088254440969604 ,.01316890184098526709] 
dist 83=[-1.7476951743997793584 ,.01416108140935753358] 
dist 84=[-3.3618157775946032482 ,2.8985285655102165105 ] 
dist 85=[-1.7472379972524317946 ,.10135256345512041691] 
dist 86=[-3.2437216066382055282 ,3.3936070682593728916 ] 
dist 87=[-1.6416984805088633766 ,.00530517128837710008] 
dist 88=[-3.9995596196709381950 ,3.6396937186138398203 ] 
dist 89=[-1.6408965771402690057 ,.19668721303055199872] 
dist 90=[-3.5822213286234981381 ,3.6671745359264569985 ] 
dist 91=[-1.6788894228039771921 ,.05145152251712174064] 
dist 92=[-4.0241263252662795981 ,4.2835515095482607081 ] 
dist 93=[-1.7407347345694789722 ,.47949608108128129301] 
dist 94=[-3.6737615411698743564 ,4.5249832432563033047 ] 
dist 95=[-.00507668203186793369,.82444606051234220332] 
dist 96=[-3.5428118216764645199 ,4.6868394789928471146 ] 
dist 97=[-.04335212408509660666,.91208600011434177402] 
dist 98=[-3.4548207426604758334 ,4.7484792376842822178 ] 
dist 99=[-.02940425600572075008,1.5234079674525381166 ] 
dist 100=[-.00021679957085470022,2.4532632785092376008 ] 
dist 101=[-.00031180449627289049,1.4540965973766875730 ] 
dist 102=[-.00034135766428527522,2.4107388101998418843 ] 
dist 103=[-1.8544632123987530099 ,1.9604102625474531417 ] 
dist 104=[-.00031948418880122253,2.2571678255718497386 ] 
dist 105=[-1.8196362391993844802 ,1.8697523373440809760 ] 
dist 106=[-.00028166221926994034,2.2000137985481074664 ] 
dist 107=[-1.8995705948246812466 ,2.1483235897334872851 ] 
dist 108=[-.00029437023614358804,1.5971582794590683387 ] 
dist 109=[-1.8183174036369003678 ,2.0749151610717942016 ] 
dist 110=[-.00021353074840636480,1.3897286159588609317 ] 
dist 111=[-1.7279725814712317047 ,2.2871201722988288957 ] 
dist 112=[-.00011754488923619755,1.2230049558614802536 ] 
dist 113=[-1.8535974899073961856 ,2.1529380112237681454 ] 
dist 114=[-.00037571091413215813,1.1533811940607085857 ] 
dist 115=[-1.7257663920331129449 ,2.1768217957139372974 ] 
dist 116=[-.72590866924061449736,.00075755315532974910] 
dist 117=[-1.7946207648450239655 ,2.1634150332445651019 ] 
dist 118=[-1.1715439330452880402 ,.00043769107893622037] 
dist 119=[-1.2736920770151499912 ,1.9275059190204864785 ] 
dist 120=[-1.6688570342301272967 ,.00015002319280358102] 
dist 121=[-1.4954153683797340568 ,1.7567768718522525491 ] 
dist 122=[-1.9630757411729377882 ,.00030412695135851372] 
dist 123=[-1.5410988366343137282 ,1.6923314540424536877 ] 
dist 124=[-2.4113182313187833818 ,.00026963878651309550] 
dist 125=[-1.5469217539694021183 ,1.6656825292605904027 ] 
dist 126=[-2.6186475864632167666 ,.00031935659314386753] 
dist 127=[-2.27843763458763411690e-05,1.2702661930885179362 ] 
dist 128=[-2.7353633612175789225 ,8.97300236647865802480e-06] 
dist 129=[1.36488504253049580100e-06,1.2667746434417679841 ] 
dist 130=[-2.7377609548447214658 ,.04990175962944058760] 
dist 131=[-9.49527100686091519090e-07,1.3698536292749323726 ] 
dist 132=[-3.14143476514044321100e-06,1.2755236369540451895 ] 
dist 133=[-4.53406478719536680680e-06,1.3934245670683742490 ] 
dist 134=[-4.93809886249351192540e-06,1.8255148385349238006 ] 
dist 135=[-4.84171863087674235630e-06,1.0833665889780915847 ] 
dist 136=[-4.58961088271774090730e-06,2.2603717709882406866 ] 
dist 137=[-3.58211058501369566420e-06,1.1327775480079998819 ] 
dist 138=[-3.67083050592048464490e-06,2.4254307557512592611 ] 
dist 139=[-4.31508860684107055500e-06,1.2624583513611272486 ] 
dist 140=[-3.87121198003728368210e-06,2.5780175400912539031 ] 
dist 141=[-3.65628166978547336010e-06,1.2923676676353242096 ] 
dist 142=[-2.92667721298457359130e-06,2.6594370520770290951 ] 
dist 143=[-1.0264936247474363037 ,1.08806132367908166980e-06] 
dist 144=[-3.82071617880774062840e-07,2.6817686498164339598 ] 
dist 145=[-1.0236217159892670148 ,2.23180495971068488740e-06] 
dist 146=[2.20831160278963251840e-07,2.6446420734627787496 ] 
dist 147=[-1.1488559767047198682 ,3.06428571595092081740e-06] 
dist 148=[-4.04247269954352253380e-07,1.1064869609888124738 ] 
dist 149=[-1.1668574633741329646 ,1.02898335210814852770e-06] 
dist 150=[-6.14215956711443389810e-07,.67382472855492362564] 
dist 151=[-1.1048433498509836278 ,.11869886424350168746] 
dist 152=[-.14497635512258358349,.19783393628099108849] 
dist 153=[-1.1765898887173656513 ,.1969866880887072693 ] 
dist 154=[-.39625802064909617123,.02670227403411593510] 
dist 155=[-1.0819874348011759514 ,.36182304533320881036] 
dist 156=[-.92280258201374743531,2.69045403918681135730e-07] 
dist 157=[-1.0416398607900502752 ,.35331387333041858901] 
dist 158=[-1.1357538340023086284 ,3.73380482474542885170e-07] 
dist 159=[-1.5252613448294256740 ,1.6043843145865873226 ] 
dist 160=[-1.2912015410500991971 ,1.29052008531674026430e-07] 
dist 161=[-1.5174041750866325400 ,1.6266938947834381422 ] 
dist 162=[-1.3472282182099959926 ,5.24426225127976016090e-07] 
dist 163=[-1.5286343266677922570 ,1.7289648593200157012 ] 
dist 164=[-1.2316090800065154501 ,1.16632863325913152200e-07] 
dist 165=[-1.5205435426546932595 ,1.7621469053534791943 ] 
dist 166=[-1.2083655883145890666 ,8.36506960024805507430e-08] 
dist 167=[-.92227372998745707076,1.5017794222549725342 ] 
dist 168=[-1.1590306287072907496 ,-1.14067461186063874160e-08] 
dist 169=[-1.1576845809628481114 ,1.6476747033418584862 ] 
dist 170=[-1.1253127555944629023 ,-6.76240274580908688250e-09] 
dist 171=[-1.2060606404636838195 ,1.5099799595146353824 ] 
dist 172=[-.92597807374665015961,4.07443051317804938230e-08] 
dist 173=[-1.3092135168258797476 ,1.5222721003483001246 ] 
dist 174=[-.85231530050916410957,5.51443232196566905120e-08] 
dist 175=[-.51502832921025773632,.52446115580592011237] 
dist 176=[-.74560750908890499754,1.92348495495822633470e-08] 
dist 177=[-.49037270192036251946,.51630874627656985458] 
dist 178=[-.68505132068293238518,.23860958453161833138] 
dist 179=[-.7759335915614014414 ,.6727316570473301452 ] 
dist 180=[-.14694834134669052958,.83766186982959915583] 
dist 181=[-.69035844268690589315,.6901313503308903008 ] 
dist 182=[-.03371864967027266582,1.0999876827031537771 ] 
dist 183=[-1.0040806854250537568 ,1.0855625424348151637 ] 
dist 184=[-1.09848219615487121550e-08,1.3669190101015009175 ] 
dist 185=[-.98861427859625686473,1.0617161590568399750 ] 
dist 186=[-1.16409793020662292800e-08,1.4273020792989635821 ] 
dist 187=[-1.3664117193900107644 ,.97372756291308442613] 
dist 188=[-.03775596194368297637,1.6345190277602708789 ] 
dist 189=[-1.2021531013042259607 ,1.0072284804086765035 ] 
dist 190=[-.09859510546386649961,1.6832349279129329077 ] 
dist 191=[-7.49866651699269658710e-09,2.5791128954640369444 ] 
dist 192=[-.21006258433693004816,1.6443331189473542266 ] 
dist 193=[-9.80438141820836955940e-10,2.6734975579944444696 ] 
dist 194=[-.36153171668790755601,1.6228660536482742657 ] 
dist 195=[-1.48643072203051217110e-09,2.4435250702110304686 ] 
dist 196=[-.8807626553240228504 ,4.74024345315961169340e-09] 
dist 197=[-.1111136013410432312 ,2.3640645121822303524 ] 
dist 198=[-1.0466736450439759167 ,3.93327579928497433250e-09] 
dist 199=[-2.66517145164349631580e-09,1.4851445387127160269 ] 
dist 200=[-1.1975824347470366196 ,2.33444538399054515730e-09] 
dist 201=[-.08394889707187829693,1.5242041175803355809 ] 
dist 202=[-1.3332022919239577641 ,2.53042163475822710270e-09] 
dist 203=[-.12590052159792144753,1.5394748827322249043 ] 
dist 204=[-1.5300528949217064720 ,2.91957222112490616260e-09] 
dist 205=[-.05016179352184585141,1.7872924161745094927 ] 
dist 206=[-1.6186718866114274820 ,3.18484170728238369250e-09] 
dist 207=[-.64663107338748340223,.60076144313440694894] 
dist 208=[-1.6575333892653571308 ,2.94893173791804078540e-09] 
dist 209=[-.72041464412599663977,.49620621639401116693] 
dist 210=[-1.6422979462223864597 ,5.96362100856611675080e-09] 
dist 211=[-1.1019801606424125499 ,1.6339506536603302783 ] 
dist 212=[-1.2141461205652632584 ,.30724476095562390558] 
dist 213=[-1.2198393713276875044 ,1.3768868190775013254 ] 
dist 214=[-1.0597470221369173060 ,.57263626901116755544] 
dist 215=[-2.2681565342781651500 ,2.4495022595468103297 ] 
dist 216=[-.87074888901729531326,.85451705092931224087] 
dist 217=[-2.2703307751199840124 ,2.3897729652731052618 ] 
dist 218=[-.79491560122222394711,.92700520060242030689] 
dist 219=[-2.0567515109888805114 ,2.7010694866698676583 ] 
dist 220=[-.47596140858021864925,1.1575065889198476401 ] 
dist 221=[-2.0934917230586442373 ,2.6392604321201834749 ] 
dist 222=[-.33741137189983444803,1.2147955659793579939 ] 
dist 223=[-2.1525643823062426570 ,1.1661016572186824653 ] 
dist 224=[-.20653149451642080363,1.2482495905631474927 ] 
dist 225=[-2.1056569824827899163 ,1.1838057342203527180 ] 
dist 226=[-.15522153385162815748,1.2416323598633826350 ] 
dist 227=[-2.5818978442090373096 ,1.1374715755515405386 ] 
dist 228=[-3.26275762060088365140e-09,3.12938398469914523250e-09] 
dist 229=[-2.5063754124357974567 ,1.1497860008800165237 ] 
dist 230=[-4.14604818375306057210e-09,3.58621525061655581800e-09] 
dist 231=[-2.4933775790213787944 ,1.1144279900437993834 ] 
dist 232=[-3.85003417084577869460e-09,3.54590572492093556530e-09] 
dist 233=[-2.5967481236641735999 ,1.1226212968246783928 ] 
dist 234=[-4888456606.3033754055          ,3.41293991811891921560e-09] 
dist 235=[-2.5416234987237081495 ,1.1066187764249296142 ] 
dist 236=[-5.61602498069776544860e-09,3.27999108778690286650e-09] 
dist 237=[-2.4322338872053550356 ,1.1087930166118554198 ] 
dist 238=[-6.82593704002734665130e-09,3.23973996938128261400e-09] 
dist 239=[-2.0972767785842701449 ,1.2088975352773282423 ] 
dist 240=[-6.35295857277076764200e-09,1.75469027587637327240e-09] 
dist 241=[-2.0524368978157392571 ,1.2026832598982158293 ] 
dist 242=[-4.74057812447745488160e-09,2.41118769445392046570e-09] 
dist 243=[-2.5266102331322973244 ,1.2323678312306626058 ] 
dist 244=[-1.90888998773989728440e-09,5.35100781259478613760e-09] 
dist 245=[-2.4605443141294952113 ,1.2245182028573910445 ] 
dist 246=[-2.31834708116154045360e-09,6.95206132138248881960e-09] 
dist 247=[-2.4380899653186858698 ,1.2352237469245136047 ] 
dist 248=[-2.18664041029778015250e-09,6.46731839018987890210e-09] 
dist 249=[-2.5414605117307326123 ,1.2368641333477708605 ] 
dist 250=[-2.23394702130246085190e-09,4.52848483826390648940e-09] 
dist 251=[-2.4957924033734872557 ,1.2175335379312721429 ] 
dist 252=[-3.95059038728237076540e-09,3.22551987018135773310e-09] 
dist 253=[-2.3864027933293867120 ,1.2262491943430285012 ] 

8 phat 5 dirichlet min maxes function [2, 2, 1, 1, 0, 0, 1] 
dist 0=[300.31217212478047925   ,300.31217212478047925   ] 
dist 1=[289.21973359156197438   ,303.77471399506607124   ] 
dist 2=[269.87163924170418119   ,302.23950261035366696   ] 
dist 3=[241.94772883452773963   ,280.30810677202329694   ] 
dist 4=[196.72865520756925017   ,277.08992671997363727   ] 
dist 5=[148.67710766253537868   ,193.78051688216655950   ] 
dist 6=[109.62816688506603199   ,181.37722046366300345   ] 
dist 7=[71.660346403464422031  ,117.24192192379775453   ] 
dist 8=[28.266521540320966761  ,90.556580605301625202  ] 
dist 9=[-15.255492904333148478  ,22.585111271729633290  ] 
dist 10=[-42.753898894863192327  ,12.290167182384132794  ] 
dist 11=[-56.582938345572694524  ,-10.100347199641352121  ] 
dist 12=[-58.928121741564938991  ,-14.608685293094643242  ] 
dist 13=[-54.857219788310674277  ,-9.5749427533739757275 ] 
dist 14=[-53.353232937957612862  ,6.9256858285213637062 ] 
dist 15=[-40.841940932336872677  ,21.866913357747065556  ] 
dist 16=[-38.958161051860391813  ,35.358339845376307425  ] 
dist 17=[-3.1973047865900165876 ,44.883618169297983723  ] 
dist 18=[1.4074782370620950837 ,46.639371832998643797  ] 
dist 19=[9.2600197217090585896 ,41.994986762842867041  ] 
dist 20=[10.435509537651152897  ,40.583833643541968344  ] 
dist 21=[.58586037575651815499,24.816098620667188768  ] 
dist 22=[-12.177451918354872798  ,23.939878790766115261  ] 
dist 23=[-21.364788344343186038  ,19.240325965807619115  ] 
dist 24=[-26.240967523935053756  ,17.295522443490799535  ] 
dist 25=[-28.079907574724942093  ,13.824152165411259668  ] 
dist 26=[-27.912378210673008404  ,13.983951827190682855  ] 
dist 27=[-22.238575547460933671  ,14.107887862463121426  ] 
dist 28=[-18.702746179358180294  ,14.156928379413509646  ] 
dist 29=[-5.6330435251204177158 ,13.946604458476828967  ] 
dist 30=[-5.4760708333106930454 ,13.079315797908318170  ] 
dist 31=[-4.2274601737369942691 ,11.693069734185580150  ] 
dist 32=[-3.9882686299813037800 ,9.4936569876299482035 ] 
dist 33=[-.46673643636008828426,6.6536752880837686018 ] 
dist 34=[.06664892264158354107,6.5927659988582367852 ] 
dist 35=[.92234694182181387755,5.3516388249207321655 ] 
dist 36=[1.0670518073898801102 ,5.1327155342223827998 ] 
dist 37=[-.15368671219530859198,3.0454847409207331888 ] 
dist 38=[-1.7874467799675854722 ,2.9202820913088750466 ] 
dist 39=[-2.8922702732106060264 ,2.2370099143965139454 ] 
dist 40=[-3.3514660600634395848 ,2.0826347749398305731 ] 
dist 41=[-3.4473422576617070258 ,.23185460936262253156] 
dist 42=[-3.3584937979016285963 ,-.08329598743927622970] 
dist 43=[-2.7985720756145203746 ,-.42236966174327364929] 
dist 44=[-2.4942836177396553861 ,-.45926992158503496997] 
dist 45=[-.71009635869539738803,.96695476772924809568] 
dist 46=[-.67078561251474421048,1.9152079861310161779 ] 
dist 47=[-.5486531454244277364 ,2.5117514773018614008 ] 
dist 48=[-.48374752868365634584,2.6668152968392094203 ] 
dist 49=[-.02639999841476163509,.84313753461785792056] 
dist 50=[.02470354950518376640,.80372098448468392394] 
dist 51=[.11457274648176456613,.65726542009218054249] 
dist 52=[.12885717621242973926,.60203747933741509119] 
dist 53=[-.11637652219030266342,.37050341007495300243] 
dist 54=[-.32235193372476696711,.34333692828336725805] 
dist 55=[-.4572539720064049046 ,.82707013465777843328] 
dist 56=[-.5046547606517945902 ,.23870051761493658883] 
dist 57=[-.50187131319218619254,.21573890101072470077] 
dist 58=[-.48592681527563770487,.2151406787217876212 ] 
dist 59=[-.37126061787571287745,.42087805009175303994] 
dist 60=[-.34965565084412172641,.2162141438453752333 ] 
dist 61=[-.33826909841108626917,.21658509260091833491] 
dist 62=[-.07818575406446198401,.2397162736050163337 ] 
dist 63=[-.1258718617923386108 ,.30260042552508414863] 
dist 64=[-.05594166933622192151,.32124594928862315819] 
dist 65=[-.36015555957202770205,.02618952171103563733] 
dist 66=[.00094957672781556969,.03533713556803589672] 
dist 67=[-.31913353845475673041,.23725270494469579065] 
dist 68=[.01457216363410333843,.04832783316505824685] 
dist 69=[-.04029722925810359141,.11531837299327047382] 
dist 70=[.01197840938113100729,.04276846178607361189] 
dist 71=[-.01877701352688749394,.3443531969365328034 ] 
dist 72=[.00330863888881326988,.03027242522672395450] 
dist 73=[-.32741551539237842341,.21638514353582300823] 
dist 74=[-.01862930251529418549,-.00174612342029397795] 
dist 75=[-.22138345306522489921,.54253163062630963348] 
dist 76=[-.02604987619974641293,-.00643989151188532037] 
dist 77=[-.39219343908486309636,.3965058326701986054 ] 
dist 78=[-.00979000155370013276,-.00514980996481160842] 
dist 79=[-.53139719539784539458,.36561076531926943816] 
dist 80=[-.00699079430913766672,-.00085133485380894566] 
dist 81=[-.55834039480242420732,.72310784184586335561] 
dist 82=[.00022872952665640749,.00344958047151874718] 
dist 83=[-.47164685619732286547,.66684048653526818502] 
dist 84=[.00165633942554832442,.00529022264896133248] 
dist 85=[-.31515054002122208299,.28132678209595688905] 
dist 86=[.00131804231077811789,.00496127207624937445] 
dist 87=[-.5737710422702437118 ,.46541159602977065338] 
dist 88=[.00018441031638679499,.00351199246744688095] 
dist 89=[-.34201708808230178538,.6158280297235488893 ] 
dist 90=[-.00305436875502837460,9.07553952728722137630e-05] 
dist 91=[-.5430461137322582199 ,.71664499200788787946] 
dist 92=[-.00414364149637072164,-.00035236972515013862] 
dist 93=[-.31798525275002750169,.53197812619206650704] 
dist 94=[-.00120430418966325578,-.00016073540029517498] 
dist 95=[-.68039785881843907759,.358194612524812408  ] 
dist 96=[-.00090893635445824809,.00049381837805971291] 
dist 97=[-.52941799344536078903,.56093456893897881913] 
dist 98=[-.00025694318376051096,.00115185402711682210] 
dist 99=[-.67880887019900788135,.61872576904386419165] 
dist 100=[-6.28010049661256856640e-05,.00135606739210979070] 
dist 101=[-.31677143805576436168,.17975172906629262988] 
dist 102=[-.00011355629750244320,.00056303298962855835] 
dist 103=[-.44646712279523851601,.39921756951638047468] 
dist 104=[-.00028217573637158541,.00044004905288825493] 
dist 105=[-2.4197884048000308069 ,.34644556482789866073] 
dist 106=[-.00045073814315655323,2.24031040019981493340e-05] 
dist 107=[-.72555046462906657205,.31531783018727047651] 
dist 108=[-.00050140571674659825,-2.96071380305483720390e-05] 
dist 109=[-.72051340606634182162,.53279925324628582956] 
dist 110=[-.00015099341126410588,-1.16450302003375539820e-05] 
dist 111=[-.34501248924572944126,.52202167103249152944] 
dist 112=[-.00010597553258810657,4.97131038152145054890e-05] 
dist 113=[-.21093397079504010395,.72021139507779285264] 
dist 114=[-1.60735696536435478340e-06,.00011141973575552383] 
dist 115=[-.21383737867245598593,.58640059788400909195] 
dist 116=[2.40644197355470836460e-05,.00013062487500774785] 
dist 117=[-.01053004599167102351,.6266463990914745025 ] 
dist 118=[-.01076842963735732521,6.61237748595263157250e-05] 
dist 119=[-.20097243341474083636,.560131100648629965  ] 
dist 120=[-.00873920477880520134,5.04578865054983389200e-05] 
dist 121=[-.27867187346524867096,.37643411701513609757] 
dist 122=[-4.29784811905284282990e-05,.01188708660144739733] 
dist 123=[-.28567198250671682071,.29328646188948381724] 
dist 124=[-.00169224846207675079,.00846420745152775871] 
dist 125=[-.24793670266034132728,-1.59453334014475781650e-05] 
dist 126=[-.02389781763236675387,-9.54410802793852536090e-06] 
dist 127=[-.46580808276666320998,.36856090741914964653] 
dist 128=[-.01465505508044102646,.00087632713690382466] 
dist 129=[-.64027203386259448856,.38311761842887678918] 
dist 130=[-.00664635084465841123,.01199444251540813164] 
dist 131=[-.70865106100823323958,.41811315449217368155] 
dist 132=[-.01112697942467352297,.01289737713818436261] 
dist 133=[-.00143830591651612151,.37942177935674907077] 
dist 134=[-.00178474583940293918,.00015537914331456872] 
dist 135=[-.35150570092783787674,.59556259842494830091] 
dist 136=[-.00301628234604074859,.00226431766070546054] 
dist 137=[-.40350723111423236126,.6745499865354856042 ] 
dist 138=[-.01055396849390407954,.00809196060168133243] 
dist 139=[-.42045988984942767177,.70348882473429235429] 
dist 140=[-.00820203392755727360,.01257414854036035041] 
dist 141=[-.00168174520038395280,.20172362284823215822] 
dist 142=[-.00144240064455110405,.01189127782938613841] 
dist 143=[-.03979647186943866598,.01866615440495222597] 
dist 144=[-.00371896875399433711,.01191794251328605940] 
dist 145=[-.24435959693340823767,.01625824973418144488] 
dist 146=[-.01769473358242048489,.01197668344124514205] 
dist 147=[-.33284107548796470973,.01955409757843702411] 
dist 148=[-.02480810896181784480,.01223415667456641185] 
dist 149=[-.31439717884690230566,.00108847997627571969] 
dist 150=[2.86705931783535163400e-07,.00012130325614761639] 
dist 151=[-.28887107166355819157,.00386151827637952650] 
dist 152=[8.64682980063139505800e-08,.00011263663856445232] 
dist 153=[-.21619818726349363237,.00012192429531803367] 
dist 154=[-.00016696355404744053,.00011315136236380504] 
dist 155=[-.16787786410641367987,.00353986449962092212] 
dist 156=[-.00023440704268976670,.00011280857946412778] 
dist 157=[-.00284691232382749776,.22064282243583013457] 
dist 158=[-2.54201243354059697940e-05,-1.36822736911040422430e-07] 
dist 159=[-.00075136905193889684,.3439182623832016502 ] 
dist 160=[-4.03506431398557115530e-05,1.44964758658423774130e-05] 
dist 161=[-9.57106655058964373280e-05,.41430764355884027415] 
dist 162=[-9.04675910297240863330e-05,8.97701827321752393990e-05] 
dist 163=[-.05962203624855353904,.41080388201126232487] 
dist 164=[-3.95578863981779754000e-05,.00011760839181727429] 
dist 165=[-.22271982646964150031,.00209984262798447235] 
dist 166=[-.00013534088868389914,1.02583445577240282700e-05] 
dist 167=[-.31663064287695252301,.00900410724223205028] 
dist 168=[-.00019116036316706904,9.88384903482360838060e-05] 
dist 169=[-.40538298504630446052,.00378290218797245549] 
dist 170=[-.00055455586378751862,.00045783434655290621] 
dist 171=[-.42213668910433125676,.00115788610859290295] 
dist 172=[-.00044111938452565965,.00070123142402253137] 
dist 173=[-.25741235184206168923,.06751322055481576221] 
dist 174=[-.00011497338780403626,.00066948194116085074] 
dist 175=[-.16532394529398164083,.19097994274142164064] 
dist 176=[-.00022846185192660942,.00066953731209038116] 
dist 177=[-.03618730921902545964,.26308826954571762982] 
dist 178=[-.00099158688073396075,.00066965929504003489] 
dist 179=[-.03890959583526247695,.28628413919089177972] 
dist 180=[-.00139095825984554824,.00068972946727559130] 
dist 181=[-.00153789270615738697,.03510724370810812651] 
dist 182=[4.17933998732244676500e-09,1.33894015148364749650e-06] 
dist 183=[-.00522209072989686401,.03553016735482525507] 
dist 184=[1.04742330876386478990e-09,1.24141392431164649650e-06] 
dist 185=[-.01472039787931482564,.02169823251555655214] 
dist 186=[-1.83531812082981918030e-06,1.23752812801701278060e-06] 
dist 187=[-.01396185052262618953,.02108372743734433132] 
dist 188=[-2.57522123693001095500e-06,1.23590739665056374630e-06] 
dist 189=[-.01440492458846232442,.00093587888210734973] 
dist 190=[-2.97990429822567399530e-07,-1.69694446766279272980e-09] 
dist 191=[-.03972182243421902975,.02097744427197990340] 
dist 192=[-4.45857993539450376130e-07,1.46093508867268877110e-07] 
dist 193=[-.03775826339861436761,.01282633243960863988] 
dist 194=[-9.80133516464123590180e-07,9.79544726887731311720e-07] 
dist 195=[-.04006331728471494617,.01998997111438953278] 
dist 196=[-4.24535675352828475470e-07,1.29641301413112361210e-06] 
dist 197=[-.00367594164814314834,.02181248906390431566] 
dist 198=[-5.60681882405185316950e-08,1.27692376937403162950e-07] 
dist 199=[-.01941645395021703198,.03494249778407502502] 
dist 200=[-5.77053582669661907080e-08,1.21414843152709414210e-07] 
dist 201=[-.02326079135841787733,.04133824465501760349] 
dist 202=[-1.87977565461737273740e-07,1.39455799887716679280e-07] 
dist 203=[-.02488625991694933598,.04063368253735950646] 
dist 204=[-2.67843975376712834870e-07,1.45094100582677845550e-07] 
dist 205=[-5.77841108600247215030e-08,.01429861721680208772] 
dist 206=[-5.27875412871755387730e-08,1.15291264906099145370e-07] 
dist 207=[-.00638510891391613761,.00511801195440128173] 
dist 208=[-6.19444302934469394560e-08,1.21842416270892673900e-07] 
dist 209=[-.01676323375571104733,.00712268540563574692] 
dist 210=[-1.91713347489156641600e-07,1.36274200332730299690e-07] 
dist 211=[-.02077574638052773509,.00572110084716011306] 
dist 212=[-2.65526569497603962380e-07,1.46037728491856797950e-07] 
dist 213=[-.02026241693649308214,.01224394925721125565] 
dist 214=[-1.37798540397102210640e-10,5.91591783518664823000e-07] 
dist 215=[-.01910475814640691375,.01362771575234464245] 
dist 216=[-5.20850367102167319990e-10,5.64881602307501884050e-07] 
dist 217=[-.01683472680508038073,.01262053231427489303] 
dist 218=[-8.78899422635427995520e-07,6.53841497056060090840e-07] 
dist 219=[-.01612183921724495938,.01112644444035315528] 
dist 220=[-1.24830257851266986670e-06,6.25645562452741575110e-07] 
dist 221=[-.00134366192911848017,.01157363304353101790] 
dist 222=[-2.43523150039566502460e-07,1.89133229191673676960e-09] 
dist 223=[-3.09597290143375488350e-07,.01897877194546722455] 
dist 224=[-2.86475870571598622030e-07,4.67064982000920297050e-08] 
dist 225=[-.00405519193435636896,.02423221965121926859] 
dist 226=[-4.08896509956946259650e-07,4.98198492246258147580e-07] 
dist 227=[-.01153614574836206685,.02496947210985388342] 
dist 228=[-1.61145622470956487650e-07,6.76530896544594756750e-07] 
dist 229=[-.01953993512977630379,.00814471732669506655] 
dist 230=[-1.38351767420275056300e-06,3.00430901179348458480e-09] 
dist 231=[-.02220718590532778253,.01041618698369477246] 
dist 232=[-1.81251811120100789330e-06,7.35504701639849663250e-07] 
dist 233=[-.02396510145983355689,.01158471732373299460] 
dist 234=[-4.74162875386652098580e-06,4.09280136752294213160e-06] 
dist 235=[-.02505003092772070675,.01033499099536456067] 
dist 236=[-1.98354725328850755740e-06,6.21671576135418187110e-06] 
dist 237=[-.01418951556409767634,.01468768249778453742] 
dist 238=[-1.20068453885437474570e-06,5.94124912601013391660e-06] 
dist 239=[-.00985336826750967915,.01423213855656121131] 
dist 240=[-2.11470932961639803990e-06,5.94143047849943532320e-06] 
dist 241=[-.00325661443659795410,.01487390349932378110] 
dist 242=[-8.79874335743258777810e-06,5.94182998639599139310e-06] 
dist 243=[-.00062204611233943770,.01572500773778565569] 

8 phat 5 dirichlet min maxes function [0, 1, 0, 1, 2, 0, 2, 0, 2] 
dist 0=[322.20451297180086191   ,322.20451297180086191   ] 
dist 1=[288.70573945946261437   ,331.81652445978919444   ] 
dist 2=[247.74193982232863497   ,324.56125646636186712   ] 
dist 3=[208.61641203068417733   ,325.95187784794582574   ] 
dist 4=[166.47332184288560606   ,308.80585062857688206   ] 
dist 5=[112.87879073757232945   ,224.99151378254653491   ] 
dist 6=[59.876532323621652438  ,189.60166362094277615   ] 
dist 7=[30.889148716726899673  ,169.77924706995818182   ] 
dist 8=[-.57056174143092221862,100.72445665013048230   ] 
dist 9=[-38.652264662885503821  ,20.818522585417116326  ] 
dist 10=[-67.443150079215936771  ,-11.618658366885501090  ] 
dist 11=[-81.345904645845936802  ,-13.909645921698955729  ] 
dist 12=[-88.447536517783437007  ,-12.701234279671850078  ] 
dist 13=[-84.858906607095536684  ,-3.3280242166253338008 ] 
dist 14=[-72.831445010789194763  ,16.857161584055787843  ] 
dist 15=[-65.093073311956997819  ,28.857794940261867452  ] 
dist 16=[-4.1105397517868826912 ,47.299630006188754559  ] 
dist 17=[-1.5890501520672856211 ,57.747962470622889812  ] 
dist 18=[-3.0867618283475071239 ,59.554585649814814032  ] 
dist 19=[-4.9608890133935367734 ,51.911403680918569452  ] 
dist 20=[-6.4499606501286044776 ,50.740623940176946430  ] 
dist 21=[-7.3568179466978275879 ,38.977183890187400664  ] 
dist 22=[-12.055104197360162347  ,34.219474372317118264  ] 
dist 23=[-23.028368917475340211  ,28.918101046255572028  ] 
dist 24=[-28.714035558085193427  ,8.1283588365706272843 ] 
dist 25=[-31.065248176057206312  ,1.6885824009382041731 ] 
dist 26=[-30.712191840558749342  ,-.63492182548086227236] 
dist 27=[-30.546851657265547961  ,2.4821752749385077863 ] 
dist 28=[-23.770038559118297875  ,.16524320135967172831] 
dist 29=[-9.0950323174184276336 ,8.0404486626484036829 ] 
dist 30=[-7.1409117123432366270 ,18.802082671599604169  ] 
dist 31=[-6.8481958277296277530 ,22.392849205065651290  ] 
dist 32=[.39904268439720886135,29.488671087366360296  ] 
dist 33=[.214399656610387241  ,7.4244616850752469267 ] 
dist 34=[-.20881308555471788239,7.3877514447549497275 ] 
dist 35=[-1.5925849172240235154 ,6.0472613037617152322 ] 
dist 36=[-.6661536475867481974 ,12.863764637192769097  ] 
dist 37=[-3.0783076293558100881 ,4.5040819734064073532 ] 
dist 38=[-4.4325879057366856667 ,6.3250512606940097474 ] 
dist 39=[-3.6525590343858055146 ,3.2881645389543925680 ] 
dist 40=[-7.5639961190851502686 ,3.9108318199818160860 ] 
dist 41=[-6.3930240513369081671 ,3.3701533040800874853 ] 
dist 42=[-7.3377007760495222798 ,1.3363188605663851316 ] 
dist 43=[-6.9262612491255379070 ,3.5632849652725002303 ] 
dist 44=[-8.7247798029532256443 ,2.3724953046842801368 ] 
dist 45=[-6.9925330576499771710 ,3.4404091572929448692 ] 
dist 46=[-6.7016672270629127475 ,5.5684687250327927922 ] 
dist 47=[-6.2160456319763241506 ,3.5663664051592083032 ] 
dist 48=[-5.8893508142928779639 ,6.2587591606861188668 ] 
dist 49=[-6.4057987635098398196 ,3.5670292211115232731 ] 
dist 50=[-3.4486589657186953787 ,.97377332616319500748] 
dist 51=[-6.9795800039420096685 ,3.5959366644441254592 ] 
dist 52=[-12.437360701419534167  ,.73183786320002567414] 
dist 53=[-7.0528611116815050390 ,3.4427108166889891563 ] 
dist 54=[-13.376318403535139063  ,3.4412059640107190623 ] 
dist 55=[-.44724822061030136487,.41350665303544165114] 
dist 56=[-13.490875481634272193  ,3.3774767837143919531 ] 
dist 57=[-.50947009458242779845,-.01142782144692822284] 
dist 58=[-7.7051090834948736216 ,3.1605352583969524149 ] 
dist 59=[-.40069755902850001078,.00429551795283280911] 
dist 60=[-7.0266026758979723778 ,3.0742992018751155344 ] 
dist 61=[-.13378738458579820934,.14836910238791221906] 
dist 62=[-7.0946031035400683141 ,2.8282717188825633724 ] 
dist 63=[-.09708459470578652539,.37552746624120446706] 
dist 64=[-6.8370178494904318971 ,3.3580123044459006006 ] 
dist 65=[.00276801291023994966,.11902238205294408827] 
dist 66=[-.00341508272447403076,3.5116919909668340696 ] 
dist 67=[-.00734526929405298042,.09040490745360688606] 
dist 68=[-.00983355988363445854,9.7903150384827043893 ] 
dist 69=[-.01317686321014261925,.06717775039828054709] 
dist 70=[-1.8479277816274263445 ,10.218132835584996412  ] 
dist 71=[-.06104102622723500003,.04805929224079532532] 
dist 72=[-2.8188415710356698534 ,11.158095767358802717  ] 
dist 73=[-.06638319035048140221,-4.14742476950598409910e-05] 
dist 74=[-3.6748322495890942405 ,5.9491554824014372381 ] 
dist 75=[-.05467183796636298671,.00100437067589432355] 
dist 76=[-4.2456499733094805510 ,11.116088290864772502  ] 
dist 77=[-.01583276443474596486,.01403011557998785888] 
dist 78=[-6.1319860035597026426 ,9.7082964776442004142 ] 
dist 79=[-.01137351402075986413,.03770356421554948956] 
dist 80=[-7.5546326290692809537 ,9.4212262603736794533 ] 
dist 81=[.00034308448409410809,.01534136741695812759] 
dist 82=[-4.8999051963556390822 ,2.2158255298555586906 ] 
dist 83=[-.00080520863544580700,.01136598842304889659] 
dist 84=[-7.4887394542872930452 ,1.3624961704353897485 ] 
dist 85=[-.00125486002926262971,.00947686336657401656] 
dist 86=[-9.3117798460249841331 ,1.7483901145840351707 ] 
dist 87=[-.00717059662411765838,.00671097805190936164] 
dist 88=[-9.6748825628796497024 ,2.4546209763934006781 ] 
dist 89=[-.00781491844528531055,.00116267055342983910] 
dist 90=[-9.9177848158609513156 ,3.2483839690037661301 ] 
dist 91=[-.00637042699141827286,.00022710256632769213] 
dist 92=[-9.8999733996003337991 ,3.6740780677461130767 ] 
dist 93=[-.00201147123478832406,.00234283083273675076] 
dist 94=[-10.380181885672248190  ,4.0878495240712740057 ] 
dist 95=[-3.0171468827242328933 ,.00578047452818817320] 
dist 96=[-10.265834303021694866  ,4.2810850365695957245 ] 
dist 97=[-2.9650105306120090430 ,.00183334647418666214] 
dist 98=[-.00012154768310053021,4.2300172827710509084 ] 
dist 99=[-2.8827253175289712886 ,.00134613591670695969] 
dist 100=[-.03378833416833326753,4.5563404293383268002 ] 
dist 101=[-2.3588386568819979916 ,.00102729543854701075] 
dist 102=[-.62574998883085262831,6.6227955830044876533 ] 
dist 103=[-2.4885951523398161196 ,.00072675923808697740] 
dist 104=[-1.4019563078452310218 ,7.1097102958376972657 ] 
dist 105=[-2.1184882793727956813 ,2.21877148159842160820e-05] 
dist 106=[-2.1367401942051383816 ,9.4561595246156498709 ] 
dist 107=[-2.0115524561839170280 ,.00013327482458030514] 
dist 108=[-2.3286979491736755070 ,10.133026688613371917  ] 
dist 109=[-.00024690903406316494,.00021231948370339564] 
dist 110=[-2.9077706905691007635 ,10.438031598205337874  ] 
dist 111=[-.43847007865821903957,.00056144217586784875] 
dist 112=[-3.0288557675349836114 ,10.478919047011305992  ] 
dist 113=[-.22960075849229314413,.00023345592626573082] 
dist 114=[-2.9958720329270821396 ,.29726762123860852817] 
dist 115=[-.26664396831465647111,.00017011766001155165] 
dist 116=[-3.1582672579515809778 ,5.4389191839466386935 ] 
dist 117=[-4.67983206065107635700e-05,8.06470657594254286930e-05] 
dist 118=[-7.78891607173854657720e-05,5.8515037975568072970 ] 
dist 119=[-.00011249710196689058,-7.39295739155784650570e-06] 
dist 120=[-.00012255496518214757,5.8135096051368340934 ] 
dist 121=[-.00012018789554869443,2.5515448801503681731 ] 
dist 122=[-.00011578793258182110,5.0639072955799850298 ] 
dist 123=[-9.20706570943774606900e-05,2.0023158707859417465 ] 
dist 124=[-8.18017105971303200080e-05,4.8056002760280491678 ] 
dist 125=[-.18150834509756068781,2.3399362537049609174 ] 
dist 126=[4.24878140862469759180e-06,5.2211343907713570309 ] 
dist 127=[3.58667612756961041900e-06,2.7051858204213979723 ] 
dist 128=[-.66958158116534519696,4.9230000965237619615 ] 
dist 129=[5.93583951093821837640e-07,2.5389028750124129574 ] 
dist 130=[-1.28306561886043000420e-06,2.63647388686465619150e-05] 
dist 131=[-2.45775371530241444530e-06,3.1802270565749038114 ] 
dist 132=[-6.2874135422481709294 ,2.8434319481464933700 ] 
dist 133=[-.89882813425043457784,3.4186602255882035910 ] 
dist 134=[-6.6284597058967883470 ,3.6635470833141749615 ] 
dist 135=[-1.43558356882708549790e-05,-8.71783261596675461610e-07] 
dist 136=[-7.0538487711314575571 ,3.7345386041848141219 ] 
dist 137=[-2.1144469989528567199 ,.52983315692633929217] 
dist 138=[-4.3187177363469312516 ,1.1757414472067487621 ] 
dist 139=[-2.2291484779488473036 ,.58410530948155339127] 
dist 140=[-6.8240337768580720444 ,4.6516168590879973922 ] 
dist 141=[-2.1933487890436708407 ,1.0102196994950570940 ] 
dist 142=[-6.2522120612309556045 ,5.1247387148964399858 ] 
dist 143=[-2.2117613792316920315 ,8.68752753324547729310e-06] 
dist 144=[-6.6440953509399421444 ,5.6255296851617120472 ] 
dist 145=[-2.2270738204624660100 ,1.3655409957611769627 ] 
dist 146=[-1.21764693828778143670e-07,3.33314896046824780440e-06] 
dist 147=[-2.9092663733907710509 ,1.8010590350722455594 ] 
dist 148=[-284989.35942070574125      ,3.3588835207407758878 ] 
dist 149=[-2.7829408439043534968 ,2.1796043474567296527 ] 
dist 150=[-1.15610253266070662570e-06,4.2236698292942707623 ] 
dist 151=[-1.64773321953931212640e-06,-1.11244502509001064680e-07] 
dist 152=[-1.80069504760885129160e-06,4.4992398605585214495 ] 
dist 153=[-1.8648942006661195183 ,.6230191429945665619 ] 
dist 154=[-1.89811888429130160950e-06,6.1603360302565991205 ] 
dist 155=[-2.2293473444083487166 ,.73192586182764354887] 
dist 156=[-1.18987043666975066940e-06,6.2192028361427275474 ] 
dist 157=[-2.3217314833982263159 ,1.3577758541252666775 ] 
dist 158=[6.38105959594078477130e-08,6.6247519682519408836 ] 
dist 159=[-3.0256147005500156075 ,2.3282687384656983202 ] 
dist 160=[3.60240011679582685280e-08,6.8981320512740889204 ] 
dist 161=[-2.8406550632915271625 ,2.7683990067444374611 ] 
dist 162=[-2.05941641509696712920e-08,7.77609504877562052560e-07] 
dist 163=[-2.7847789872465179947 ,2.6768121133422679612 ] 
dist 164=[-4.2326556956093663795 ,4.7406424992803163232 ] 
dist 165=[-2.7772389800014381147 ,3.0017502879561444893 ] 
dist 166=[-5.5271194195687240922 ,4.7975850213529663662 ] 
dist 167=[-7.21192266609641378900e-07,-1.19396758342879429520e-08] 
dist 168=[-5.7873055081481410301 ,4.6722104106279695164 ] 
dist 169=[-4.4839639892832068751 ,3.9735663354051325005 ] 
dist 170=[-6.5042365035343223997 ,4.9660699492717429586 ] 
dist 171=[-4.5019923700458180327 ,4.5174258907398821591 ] 
dist 172=[-6.5766882871143308102 ,4.7205177068259280631 ] 
dist 173=[-4.4984480388528117108 ,4.5916319834570002933 ] 
dist 174=[-6.6782922422605081416 ,4.1177195326861053447 ] 
dist 175=[-2.6413197207701588656 ,3.4246454385306695682 ] 
dist 176=[-6.5189482399885480340 ,4.3249474156088360124 ] 
dist 177=[-3.5696717571355819446 ,3.8546008771838582030 ] 
dist 178=[-7.28737110835410876860e-07,1.07978854867907656410e-07] 
dist 179=[-3.5612318199098100901 ,4.6553261801336939462 ] 
dist 180=[-1.89384407042644847890e-06,1.70635700345202781310e-06] 
dist 181=[-3.8501529605668657411 ,4.3964748135566745646 ] 
dist 182=[-3.05913476264337808090e-06,3.30455142295372996940e-06] 
dist 183=[-3.9183661193474820340 ,-1.31528515268749839360e-09] 
dist 184=[-3.41210663565533562600e-06,3.78829552791469695800e-06] 
dist 185=[-2.9942780758420059252 ,6.69808680287248352810e-10] 
dist 186=[-3.06878285136021689990e-06,3.79749624219539157670e-06] 
dist 187=[-3.1825780477277599584 ,1.1274686028844605118 ] 
dist 188=[-2.22275515647937254790e-06,3.82834339626042908380e-06] 
dist 189=[-3.5091715045916239470 ,1.1205430381913386378 ] 
dist 190=[-6.32692711086938702670e-06,3.85923602962869459060e-06] 
dist 191=[-3.6060004753495690767 ,.60264326276961073619] 
dist 192=[-7.65683615408993543660e-06,3.86859323292811820940e-06] 
dist 193=[-3.4293661176834363765 ,2.8334968653916514255 ] 
dist 194=[-6.32410828248751099820e-06,1.52735248477555840740e-08] 
dist 195=[-3.3613102927347399403 ,2.8195358589964256542 ] 
dist 196=[-4.98752673369182826760e-06,1.93896881965148393230e-08] 
dist 197=[-3.4821743074657240314 ,3.1886217819986923884 ] 
dist 198=[-1.70634435062095534780e-07,2.50856503607264559560e-06] 
dist 199=[-1.67186097776392252740e-07,3.2500958788004159153 ] 
dist 200=[-1.44033872150033822000e-07,3.84512131559072832620e-06] 
dist 201=[-3.4388448658638435842 ,6.1906367379320775314 ] 
dist 202=[-6.79324947367777730380e-08,3.34465816486294721240e-06] 
dist 203=[-4.3365773558626431608 ,7.2537679119442972729 ] 
dist 204=[-3.94167918367215373530e-08,2.50465344654110503430e-06] 
dist 205=[-4.5404284567585419665 ,7.2814282153664804522 ] 
dist 206=[-2.54745478671660993970e-06,2.00250611453634549220e-07] 
dist 207=[-3.7517727851818086611 ,5.9723158090605974693 ] 
dist 208=[-3.38357059588795355620e-06,2.15050786907598627400e-07] 
dist 209=[-4.8887764153442989430 ,7.2009814901782599985 ] 
dist 210=[-3.53520115167843173170e-07,1.98559854493265052490e-07] 
dist 211=[-4.8959534135894075011 ,6.9809774342607195093 ] 
dist 212=[-4.13552077755630032330e-07,2.13358915333992540680e-07] 
dist 213=[-4.7886405716301432792 ,6.6484071787608699408 ] 
dist 214=[-3.07379059092544910870e-09,1.39643705444077821950e-07] 
dist 215=[-.34104328488132687285,4.2532483297419045011 ] 
dist 216=[-2.33242733079786727240e-09,2.14292886811715075890e-07] 
dist 217=[-.05021405462658509461,5.9763242387793286647 ] 
dist 218=[-8.65550120811617595260e-10,1.85272468892952277740e-07] 
dist 219=[-.98549073039087932427,7.0552139575756858684 ] 
dist 220=[-8.76399828849023021990e-10,1.39586417873204779900e-07] 
dist 221=[-1.1168984852440057854 ,7.0778729083407202249 ] 
dist 222=[-1.33227881816102559090e-07,1.56797721767150489870e-08] 
dist 223=[-2.8054758406024736405 ,5.9635347059549583017 ] 
dist 224=[-1.78859268739171014850e-07,2.39727874895876551010e-09] 
dist 225=[-2.6914524588364629994 ,7.0708014717416601877 ] 
dist 226=[-2.93476280350650989950e-08,2.73864295913106081980e-09] 
dist 227=[-2.9392653957728496477 ,6.8999491072548339565 ] 
dist 228=[-2.27761709132016222370e-08,3.22135306043472714550e-09] 
dist 229=[-2.9997094976455556894 ,6.5696851766337697832 ] 
dist 230=[-4.55987917026769676870e-09,1.25311557582639039880e-08] 
dist 231=[-.0733110964782619449 ,.6456561781802764086 ] 
dist 232=[-1.23760509271475570940e-09,1.87760559118450938210e-08] 
dist 233=[-7.5425916834704335463 ,3.7926104918486139561 ] 
dist 234=[-1.16211345296332941130e-09,1.59977419593953435020e-08] 
dist 235=[-7.0368588613746271311 ,2.8260175960283158886 ] 
dist 236=[-1.00834545764159314490e-09,1.05458302025595264470e-08] 
dist 237=[-6.8330330666677113071 ,2.5890614934628736938 ] 
dist 238=[-1.29302306297100735480e-08,1.15022615484028764880e-09] 
dist 239=[-4.1516792419544934003 ,1.4297362155891651925 ] 
dist 240=[-8.09498915033905017890e-09,1.22128914772577699640e-09] 
dist 241=[-7.2131660037229298035 ,1.30814958358204392780e-09] 
dist 242=[-2.10577541116511643420e-09,1.28738081007807618240e-09] 
dist 243=[-7.4625483559517302165 ,1.2843651208640481971 ] 
dist 244=[-6.43043724840665023990e-10,1.33849431592094300690e-09] 

8 phat 5 dirichlet min maxes function [2, 0, 0, 1, 1, 1, 0, 0, 2] 
dist 0=[344.38735159074571470   ,344.38735159074571470   ] 
dist 1=[302.91593187898204285   ,357.28379134876820492   ] 
dist 2=[251.11742574594900855   ,362.52490009725811783   ] 
dist 3=[205.62174388015716931   ,364.08770371079490476   ] 
dist 4=[160.10515799195563769   ,355.14127143242409855   ] 
dist 5=[107.16640015651827917   ,268.79731785057860943   ] 
dist 6=[58.198202847158555606  ,248.14191726776568286   ] 
dist 7=[27.830461760803091242  ,175.13459963848164113   ] 
dist 8=[-20.735699865106711262  ,164.41653663153809945   ] 
dist 9=[-40.722381239628506521  ,12.051165652956632607  ] 
dist 10=[-54.628808460030804375  ,12.889274443188991575  ] 
dist 11=[-69.225662550136267254  ,5.5612359064141987460 ] 
dist 12=[-79.357047862686579353  ,9.3596970297287363096 ] 
dist 13=[-79.972228623959423427  ,2.6249104235878611316 ] 
dist 14=[-77.512449854119306785  ,3.5178713829692206103 ] 
dist 15=[-62.499681205533848655  ,18.005560996281784587  ] 
dist 16=[-56.481643830465298149  ,26.253213264024525314  ] 
dist 17=[-11.451127241557979270  ,28.145059154399795095  ] 
dist 18=[-1.6071520576103327042 ,39.941540148465174267  ] 
dist 19=[3.8937896643314608536 ,52.960929835389326647  ] 
dist 20=[-.63340778351158552244,58.890347438655406765  ] 
dist 21=[-4.6654166950753534843 ,17.416283168217694714  ] 
dist 22=[-14.033523587897078873  ,17.014754618325261460  ] 
dist 23=[-14.022183700529713664  ,13.299310585269749878  ] 
dist 24=[-19.744169822402216095  ,12.589314847187007800  ] 
dist 25=[-15.885062686763611887  ,6.0027093114977674526 ] 
dist 26=[-16.638600147966557207  ,4.4235996515455990961 ] 
dist 27=[-12.712118811296886463  ,2.5744684850890989156 ] 
dist 28=[-14.004558479635962946  ,7.6636449951584331264 ] 
dist 29=[-9.0466069453633043268 ,9.1098206839353823130 ] 
dist 30=[-10.606644886732614295  ,17.826278975677478271  ] 
dist 31=[-6.7480075145454894595 ,12.595345992304238720  ] 
dist 32=[-6.9308022502163543925 ,5.5571903306452161447 ] 
dist 33=[-.71196795626399471957,3.5672876693418707522 ] 
dist 34=[-1.5340887774937587964 ,6.9305453041912276409 ] 
dist 35=[.3964052249417846313 ,5.0168212343008985360 ] 
dist 36=[-.00719066651606034048,8.6550047647570603445 ] 
dist 37=[-1.5846746333940581767 ,2.1098720397965013261 ] 
dist 38=[-1.8902500555765760722 ,2.0563482497991663711 ] 
dist 39=[-4.7715445972586990820 ,1.5958290982798437760 ] 
dist 40=[-4.6942997381345157092 ,1.6360308131277285513 ] 
dist 41=[-5.2374362779974564701 ,.3332494840362300571 ] 
dist 42=[-7.3060649914830535981 ,.01504854608573630480] 
dist 43=[-7.3324302870175934466 ,.87315803353920267806] 
dist 44=[-8.4096695455924533592 ,.42660789939389061621] 
dist 45=[-3.6232516596933248171 ,6.8949918170927884527 ] 
dist 46=[-1.1564632663895072549 ,4.1859145938981936136 ] 
dist 47=[-7.0303327617909720039 ,7.4811160065345842584 ] 
dist 48=[-.9153066468569034005 ,6.6519026408792613229 ] 
dist 49=[-2.0249004719844249795 ,3.0361797404362157758 ] 
dist 50=[-.30364154949369907245,7.5530301040292868747 ] 
dist 51=[-3.7722088036181528697 ,3.8657755198873979035 ] 
dist 52=[-.11856897752058163777,7.8553057453130101096 ] 
dist 53=[-3.4215963622261722458 ,3.0270004965613066187 ] 
dist 54=[-.35126847106002705145,2.2654354181415573181 ] 
dist 55=[-3.6996636403909619483 ,3.2606003167105855432 ] 
dist 56=[-.5101374944731638519 ,.60656924977128271522] 
dist 57=[-.88569350442050872251,2.2868743245042488513 ] 
dist 58=[-2.6677950975741443089 ,.54451097494995994505] 
dist 59=[-2.0761778909825362370 ,4.4039596463648147929 ] 
dist 60=[-3.5579718525484820767 ,.55876230264364974105] 
dist 61=[-.12930075040345233247,8.1116772128985008577 ] 
dist 62=[-3.5435795104024813811 ,.07875969540131268857] 
dist 63=[-.09514508360548568404,7.7412627031247370402 ] 
dist 64=[-3.1899070886071231201 ,.31252813917946248524] 
dist 65=[-.00793718571400714858,.08722187369835383229] 
dist 66=[-2.3825400837960258968 ,.27037769003696611985] 
dist 67=[.00378940586079765357,.40189444804490246251] 
dist 68=[-1.8495035676413082242 ,.24751522174355099085] 
dist 69=[-.02727938287286273798,.25689012189603357194] 
dist 70=[-.04104651122790155502,2.5286217803344259212 ] 
dist 71=[-.04571792820334000512,.28142197848410683067] 
dist 72=[-.3477260034815282437 ,3.9090785088645278283 ] 
dist 73=[-.04401752766707389555,.06773926140188000123] 
dist 74=[-.21726237166046431132,4.6874867648606094151 ] 
dist 75=[-.20652033473669752884,.03002670868906996290] 
dist 76=[-.6745740460624924798 ,4.6521572901313475191 ] 
dist 77=[-.38886173899928160692,.07447420928830615110] 
dist 78=[-2.5165392745552713163 ,.08108039665458136939] 
dist 79=[-.42160014753733070386,.2395391348040926505 ] 
dist 80=[-3.5363359191613811857 ,.40977958822771245181] 
dist 81=[-.00158629359925890157,.01031305289204961557] 
dist 82=[-4.6635617497121644730 ,.55264628863391993689] 
dist 83=[.00033068751229445687,.51583705632320666227] 
dist 84=[-4.8267814618672459966 ,.53083119422970784409] 
dist 85=[-.00384219966906658024,.42100164733456851607] 
dist 86=[-3.0054653150895494715 ,.78673011589707570747] 
dist 87=[-.00600458594053708307,.48911576007878196278] 
dist 88=[-1.9145663616604752233 ,2.0789726065209970733 ] 
dist 89=[-.1676825576710210128 ,.00048341679482470245] 
dist 90=[-.55117535747590216847,2.9678775008781613288 ] 
dist 91=[-.30070448833347763904,.13923456754914729931] 
dist 92=[-.57736146419646690095,3.2139407259686334936 ] 
dist 93=[-.48319159338383246595,.07357497355314100166] 
dist 94=[-.22151109736334776183,.49148277615098063066] 
dist 95=[-.51266006735880196589,.06677264933742780361] 
dist 96=[-.38001824892008630156,.46516077800829560841] 
dist 97=[-.00037450718067021507,.00132314558219036568] 
dist 98=[-.42877065814149934456,.48795145563081548314] 
dist 99=[-.46514688503196853589,.00114610183018284838] 
dist 100=[-.43367874620297810716,.4426135892803262468 ] 
dist 101=[-.4586442030840374312 ,.04863588400774608660] 
dist 102=[-.26414807842372292681,.00044157833015601896] 
dist 103=[-.41574309879820887598,3.9946916131819495421 ] 
dist 104=[-.37406857421981030944,.00031237899037748861] 
dist 105=[-.20333862525499215297,7.9011645204932686215 ] 
dist 106=[-.49816923961852063002,5.63809149857725398700e-06] 
dist 107=[-.38593450488538402049,7.2243588484226371191 ] 
dist 108=[-.51609516821634605932,.03995816342240229538] 
dist 109=[-.37307489846443779547,.40816277697606153101] 
dist 110=[-.00027768178777391477,.40197029902639809918] 
dist 111=[-3.0699566901784072730 ,4.9915665294785554785 ] 
dist 112=[-.00019442095158825686,.57657400753679298176] 
dist 113=[-1.4259461809971174187 ,6.7049145732490108636 ] 
dist 114=[1.87407242182193400230e-06,.63414143052505164951] 
dist 115=[-6.0308312436425190322 ,7.8735429315504158197 ] 
dist 116=[-.09263592357400376729,.66597211674556484894] 
dist 117=[-.37595053115943774983,.36797215404190703631] 
dist 118=[-.00010358922309294249,.34720899457945254367] 
dist 119=[-7.6686673870834634399 ,.35982081805331279239] 
dist 120=[-.15342484916898247386,.21635711949277296734] 
dist 121=[-6.0322611868775357843 ,.33940415243076391845] 
dist 122=[-.27383800052798353975,.05934137669955755190] 
dist 123=[-7.6856667373944691845 ,.48292486532189023633] 
dist 124=[-.32542612845853648629,.02047233295848206583] 
dist 125=[-.2114061961371982439 ,.7749428798096251586 ] 
dist 126=[-.31995218434539045039,5.96835890181776576500e-05] 
dist 127=[-.16423715404045813096,.84217242278026861792] 
dist 128=[-.33248610467823475217,-1.31543631509016684320e-06] 
dist 129=[-1.44593442897873383790e-06,3.6616947725887515444 ] 
dist 130=[-.25868797551683857625,.02213174511607974213] 
dist 131=[5.37072797348971864680e-07,3.6758680526968424258 ] 
dist 132=[-.23037289316931344941,.09796281490909733121] 
dist 133=[-.05325285498040684373,.02871808294811955180] 
dist 134=[-.11266693162110279272,.26060573769024812778] 
dist 135=[8.79224867341701786810e-07,4.7862793684996515721 ] 
dist 136=[-.09259437373917715837,.36670441066459432848] 
dist 137=[-6.53622656848333815420e-07,2.9759064474326826715 ] 
dist 138=[-.11819484282723465346,.42880474736561141786] 
dist 139=[-3.01351242008505576440e-06,4.2679484713656509631 ] 
dist 140=[-.1858295867985504587 ,.43239093409555487154] 
dist 141=[-.03378468198999350423,.07845087261474169016] 
dist 142=[-.34937760359943787414,.04210033295900610008] 
dist 143=[-2.3708676890144706992 ,1.7118659549021468569 ] 
dist 144=[-.43476123501162374007,.00731511907952183549] 
dist 145=[-3.1517367376283419036 ,9.75573635138440032080e-07] 
dist 146=[-.45450162548751784521,.00300471787867116791] 
dist 147=[-3.2934700966403179999 ,.30049089107127951504] 
dist 148=[-.46941918244345127969,.25035110942430199336] 
dist 149=[-.14328587192359093792,.13318154617439626002] 
dist 150=[-.29666257990654011516,.17315301943530159433] 
dist 151=[-.20264227593813913497,4.2675405522973399560 ] 
dist 152=[-.22403442355330567132,.28259800305375506903] 
dist 153=[-.23619723918090988725,4.4186872197105812764 ] 
dist 154=[-.15902250540925352181,.34228279523362310988] 
dist 155=[-.17210780930811532641,4.8185580152899601243 ] 
dist 156=[-.12808181860006088747,.35219661028860347348] 
dist 157=[-.1532852002887965487 ,.12594817354009626002] 
dist 158=[-3.93736383198992518330e-07,-3.12541158298728597820e-08] 
dist 159=[-3.9978588932437179377 ,1.7490686546664953069 ] 
dist 160=[-2.64505203353596679870e-07,-1.90587194249830952720e-08] 
dist 161=[-4.5887306669685673964 ,.69412723406428865353] 
dist 162=[3.75725482264276239520e-09,1.65108675078767728200e-07] 
dist 163=[-4.7567648846344567552 ,.85017106751556980706] 
dist 164=[1.51265530418895656940e-08,2.38990266994153691110e-07] 
dist 165=[-.10981727282876447897,.85858993353864121505] 
dist 166=[1.52613557200300545030e-08,9.04480245851074686990e-08] 
dist 167=[1.26668188872662724680e-08,.24510212521692224571] 
dist 168=[8.62866133246960748860e-09,6.11590721271134182640e-08] 
dist 169=[-.10742509611674208961,.6000131740316233926 ] 
dist 170=[-3.07257880548151622470e-08,5.66377951946755260120e-10] 
dist 171=[-.22503813081975859081,.51441562468934450985] 
dist 172=[-4.90743204623318394540e-08,-4.30267328699179779310e-09] 
dist 173=[-.22888858763153435381,.44815917465865444946] 
dist 174=[-4.57882930547619512850e-08,-4.45514395000097742710e-09] 
dist 175=[-.10058505312157440104,.09345701132423895629] 
dist 176=[-3.10508525962968934940e-08,-1.97702799387185360280e-09] 
dist 177=[-.16307026535775801654,.2184006323782703162 ] 
dist 178=[-1.74687849861331295840e-09,2.58241252319795459030e-08] 
dist 179=[-.26894788151804924836,.22943030794476865076] 
dist 180=[-8.23587181878694432440e-10,3.62304061997516329710e-08] 
dist 181=[-.27659761696990232508,.27922258563656751665] 
dist 182=[-7.39780545304579104850e-10,1.15761923270123860430e-08] 
dist 183=[-.61348293614584301221,.37828200296461321568] 
dist 184=[-5.72951401331086425830e-10,7.87454778767193718170e-09] 
dist 185=[-.65335373767805218284,.40209559329345710435] 
dist 186=[-5.82338583469602498690e-09,1.93249069628702107530e-09] 
dist 187=[-.60578176379581490708,.55320317904695650292] 
dist 188=[-8.18457940582316762150e-09,8.40337988710636688450e-10] 
dist 189=[-.63170863726436893898,.45089556283093698364] 
dist 190=[-7.79600168260138492900e-09,1.77818218460395526590e-10] 
dist 191=[-.34162828136747684477,.28921331982245325103] 
dist 192=[-5.32859078781433408960e-09,9.57382461857241134030e-10] 
dist 193=[-.3646205314597974326 ,.34212770241214241781] 
dist 194=[-1.02494414102964970800e-09,3.69500993703050483730e-09] 
dist 195=[-.38128556000353863964,.27273460792970403534] 
dist 196=[-5.23361984044174597410e-10,5.07829622249629343660e-09] 
dist 197=[-.09980323864035803779,.23782670431983942465] 
dist 198=[-7.30425293836309144380e-10,2.62561092335918046060e-09] 
dist 199=[-.28917752017627223849,.45788025499360552897] 
dist 200=[-1.42682038330411750860e-09,1.81327109840480861190e-09] 
dist 201=[-.19736702662591412407,.39033647273143748256] 
dist 202=[-2.25403505956147672700e-09,2.46816570661882345630e-09] 
dist 203=[-.27179338351204074427,.53565848758772830898] 
dist 204=[-2.86651776307554914860e-09,3.20853765170736995360e-09] 
dist 205=[-.11207682424936416527,.5224947654234912084 ] 
dist 206=[-2.19301104083835567050e-09,3.17965796760655624630e-09] 
dist 207=[-.40295778424432331379,.30482591009539997961] 
dist 208=[-1.74600268297600284070e-09,2.84779829182845443750e-09] 
dist 209=[-.44400504458386938294,.45077087035315254234] 
dist 210=[-4.70327178287658629520e-09,2.84025249809026732540e-09] 
dist 211=[-.44748786120898489295,.47494504691428555901] 
dist 212=[-5.69701423331544551900e-09,2.83799852932667385730e-09] 
dist 213=[-.12094412893012518252,.10595442322987863626] 
dist 214=[-5.28288613415902257180e-09,2.14936933292262867430e-09] 
dist 215=[-.4440218120470594203 ,.19132561270563235523] 
dist 216=[-3.71058430007145718360e-09,1.69965692304539551630e-09] 
dist 217=[-.40716943176533205431,.17958442558201170195] 
dist 218=[-2.85356228989617949960e-09,3.01228587451298958220e-09] 
dist 219=[-.48584028151643243211,.18811574654955248326] 
dist 220=[-3.39881543740079103320e-09,4.15723262379013117020e-09] 
dist 221=[-.1451104041635712254 ,.03499408343921932693] 
dist 222=[-3.15737837735518982120e-09,3.85622737561008914620e-09] 
dist 223=[-.29268682509392697545,.16489648385823376467] 
dist 224=[-2.32136808004286822170e-09,2.70786720687615809610e-09] 
dist 225=[-.3750603356923366268 ,.29602266580621472887] 
dist 226=[-1.69269445328088774460e-09,2.71580129794237533690e-09] 
dist 227=[-.34080696356496471582,.3762147579974426958 ] 

8 phat 5 dirichlet min maxes function [1, 1, 0, 1, 1, 0, 0, 0, 1] 
dist 0=[387.43408934034382796   ,387.43408934034382796   ] 
dist 1=[366.73070464822167208   ,388.88949194940452321   ] 
dist 2=[322.33921051508761634   ,387.43408934034382796   ] 
dist 3=[241.30331539603719857   ,352.76899540820282989   ] 
dist 4=[155.00602001973172529   ,331.68016990633431691   ] 
dist 5=[89.806345930256112408  ,259.01236129933152403   ] 
dist 6=[33.685455343963375611  ,174.32527290818751100   ] 
dist 7=[-18.320857685680076853  ,119.50810050292489841   ] 
dist 8=[-59.134763325444650432  ,108.09163845062347595   ] 
dist 9=[-84.313175902057669382  ,-1.6297533587250538011 ] 
dist 10=[-102.38161109131202523   ,-28.542939762968761324  ] 
dist 11=[-105.13002298730907044   ,-32.439619179080157046  ] 
dist 12=[-91.486741367816219181  ,-15.672200439315311825  ] 
dist 13=[-88.550482752297589250  ,6.4979123672051219066 ] 
dist 14=[-10.079909140698256874  ,25.547335214234657633  ] 
dist 15=[2.7450582520651726526 ,43.181391382727823235  ] 
dist 16=[30.380294860763499195  ,59.797026733511986015  ] 
dist 17=[35.070966610165768487  ,71.384900844907666723  ] 
dist 18=[27.128829000739487591  ,73.074300874911875501  ] 
dist 19=[9.5367270801290676231 ,63.811037515865471099  ] 
dist 20=[-9.5279863225886249015 ,61.368193727557291708  ] 
dist 21=[-20.458264465508401487  ,41.517029060230936581  ] 
dist 22=[-28.951544162699156831  ,16.132525352584754358  ] 
dist 23=[-33.477965542428310399  ,10.951539247879065868  ] 
dist 24=[-42.045440513436770157  ,1.6991201937301717687 ] 
dist 25=[-43.811848708507858912  ,-.67771015810150672371] 
dist 26=[-41.903078765327945653  ,-3.8723891905371155336 ] 
dist 27=[-35.991866157196494262  ,-1.1997473879593849246 ] 
dist 28=[-32.145525084436861235  ,4.9825364287964248784 ] 
dist 29=[-13.706959380002478247  ,14.953140389323408749  ] 
dist 30=[-3.7013532306176119651 ,26.517591457640752527  ] 
dist 31=[1.5653175510690219634 ,33.995205471482901756  ] 
dist 32=[3.9859848479174646969 ,35.707612530622353563  ] 
dist 33=[3.5028957022007255851 ,7.5911151978505900814 ] 
dist 34=[2.5038496333550764342 ,7.6237056718899916647 ] 
dist 35=[.4230911017671647700 ,6.1805179989431388282 ] 
dist 36=[-2.0243046666454327651 ,5.9089290201159993124 ] 
dist 37=[-2.9497424018855032373 ,4.0379827478393811380 ] 
dist 38=[-4.6649967006948785581 ,.79380928458727831068] 
dist 39=[-4.8271161567319119884 ,.55101308584503086738] 
dist 40=[-4.0642852188764231210 ,-1.0203315486400801786 ] 
dist 41=[-4.3157624714579393963 ,-1.0927457060012329903 ] 
dist 42=[-3.9750898125863341107 ,-.77834016392268170422] 
dist 43=[-3.2378998028101645568 ,-.26030097005814878535] 
dist 44=[-2.9103998273384143821 ,.32228876742942179173] 
dist 45=[-.96113532458950204458,1.2036716487029527154 ] 
dist 46=[-.27135521468492819631,2.2937671866271313818 ] 
dist 47=[.17868623294534744794,3.0111392778826363405 ] 
dist 48=[.29684889129173198167,3.1698553437645994605 ] 
dist 49=[.19022140279974184735,.98015793559215481206] 
dist 50=[.01408836368101608212,.885627994067893142  ] 
dist 51=[-.32622827327680644245,.76825505856886463733] 
dist 52=[-.66432317833786757242,.7123834093403474102 ] 
dist 53=[-.8786836044392396104 ,.51006787934778944528] 
dist 54=[-1.0375990563401130713 ,.09323271764817085170] 
dist 55=[-1.0731180455070636127 ,.05454063305676021460] 
dist 56=[-.48123563467891403932,.05556501002418876597] 
dist 57=[-.48533199453084298945,.07919983578632035512] 
dist 58=[-.46161112381923793372,.13017931899431608119] 
dist 59=[-.38300595931667722158,.21029731527895379088] 
dist 60=[-.34181942706293923798,.30320961099276711648] 
dist 61=[-.12098125896115783066,.34709542317632279333] 
dist 62=[-.03877061066919954466,.39452270116925517769] 
dist 63=[.02794579606802304140,.39138088034029022205] 
dist 64=[.02666184044680152201,.39820746990734937404] 
dist 65=[.07882001835715115114,.12333197686893233649] 
dist 66=[.04005170530204944314,.09816878238582982882] 
dist 67=[.06660274956224646132,.09743926708099317661] 
dist 68=[.01275089914777250878,.07186320992661479845] 
dist 69=[-.00699316588999392428,.05974889013102319140] 
dist 70=[-.06889470254549868903,.00997422394744298148] 
dist 71=[-.04879954371408685704,.00231242277704470249] 
dist 72=[-.10419173802746571511,-.01626677328841872058] 
dist 73=[-.06723149556662671362,-.02017089189881318862] 
dist 74=[-.06667401372687539614,.01910442344370159562] 
dist 75=[-.03963218403207687101,-.00517100001456419919] 
dist 76=[-.05972309282880209326,.03164671013518759868] 
dist 77=[-.01438857017297758835,.03588176570572345425] 
dist 78=[-.06148541677942440223,.05058928535601187910] 
dist 79=[-.05406389436630966513,.05649621831711437251] 
dist 80=[-.04031773563782191824,.05980479493240162162] 
dist 81=[-.02575533829951826195,.03848365667789829727] 
dist 82=[-.04555557949082215625,.06784596922913803929] 
dist 83=[-.01766063986212137547,.01224858106553877564] 
dist 84=[-.04342546710551489794,.06900421375732288947] 
dist 85=[-.02501028011495487574,.00862445797053511741] 
dist 86=[-.05002683611605746351,.06326442986376778188] 
dist 87=[-.02881757693633083247,.02767743806189793644] 
dist 88=[-.05255962009423227156,.06115388102972598373] 
dist 89=[-.03183092203956376487,.01514997476387935637] 
dist 90=[-.00640891626103996584,.03116354849927016601] 
dist 91=[-.02969199155586621368,-.00109006960201606641] 
dist 92=[-.00454436429127214953,.0312649734859184975 ] 
dist 93=[-.02636811066519877513,.00142257507596022099] 
dist 94=[.00017484913402856177,.03124911548347299524] 
dist 95=[-.02231525086919781902,.00794747209982730132] 
dist 96=[.00113176674947644264,.03144172036507571094] 
dist 97=[-.02194296857611131899,.00991163190616768141] 
dist 98=[.00120774049784141239,.02317057600927637643] 
dist 99=[-.02373705623184268687,.01128652696930351656] 
dist 100=[.00035590078060262701,.01975877710171522202] 
dist 101=[-.02282070936972885210,.02007439347892004279] 
dist 102=[-.00058297417534859444,.01643173197094831981] 
dist 103=[-.02761278915056804649,.01918797828603144820] 
dist 104=[-.00107180181214756961,.01503684821874252546] 
dist 105=[-.02652846794670513431,.02831168417486803756] 
dist 106=[-.01029299290522946704,-.00011190519991825327] 
dist 107=[-.00067870074277191054,.02907489831231727025] 
dist 108=[-.01640390981988256795,.00010163409551312162] 
dist 109=[-.00020835732257118884,.03103500011557674726] 
dist 110=[-.02306280229518496425,.00060630244319702126] 
dist 111=[3.50997085714796690490e-05,.03091085433313939700] 
dist 112=[-.02687872072514806602,.00077627990590396581] 
dist 113=[-.02178260848912647172,.03404095545013733652] 
dist 114=[-.03323338222825832217,.00029841603885078617] 
dist 115=[-.02840768487649644985,.03202766964325084523] 
dist 116=[-.03612875376294904069,.00039248448128068166] 
dist 117=[-.02430308450174214335,.03097010460364075183] 
dist 118=[-.03781713483819508932,.00025047007868074480] 
dist 119=[-.02774120446744129244,.03056683322824981647] 
dist 120=[-.03789685951240649065,.00080702910262537157] 
dist 121=[-.02168600813577496566,.02344462066297880864] 
dist 122=[-.00022191289578626409,.01739045956345511922] 
dist 123=[-.02358377349098030799,.00247807872629958637] 
dist 124=[-.00027713341643108642,.02501041867718496840] 
dist 125=[-.02562396498344302195,3.69197904101451806110e-05] 
dist 126=[-.00017772009677048879,.03103639341741248622] 
dist 127=[-.02707954634495375963,.00176406305462063516] 
dist 128=[-.00018573023309303072,.0333267470617589697 ] 
dist 129=[1.90396769043286570250e-05,.01779702546034316860] 
dist 130=[1.90134819754439544640e-05,.03546814892245247265] 
dist 131=[1.42467046395505463980e-05,.01775411917078284611] 
dist 132=[6.05794188023789734700e-06,.03661106272890519344] 
dist 133=[-2.34771910119684561400e-06,.01917160009192616391] 
dist 134=[-7.33105186218974164490e-06,.03697363612050682613] 
dist 135=[-1.11065552103908742200e-05,.01951053151871194601] 
dist 136=[-1.43593924475999337780e-05,.03640838020012508160] 
dist 137=[-1.52031653050637368550e-05,.0147025090350372364 ] 
dist 138=[-1.10711647343928818330e-05,.01542108467370529971] 
dist 139=[-8.45184970975137655750e-06,.01583783094672884234] 
dist 140=[-7.65455632688212381030e-06,.00945795102749719576] 
dist 141=[-3.08528529890091722440e-06,.01732638101651877269] 
dist 142=[-.00219711246422136172,.00282206179267021932] 
dist 143=[-4.80758241642462435290e-06,.01786168135480000583] 
dist 144=[-.00554703929735569548,.00046516324641696607] 
dist 145=[-.01390720053798285500,5.04122368595170869370e-06] 
dist 146=[-.01288553884615016343,2.49015780780381395520e-06] 
dist 147=[-.01381529736405888437,2.48535076429677934630e-06] 
dist 148=[-.01578631907002211336,1.80908631813591643780e-06] 
dist 149=[-.01572186774660298063,1.68811386616304922320e-06] 
dist 150=[-.01785675332523349900,1.18481828863135669470e-07] 
dist 151=[-.01607129026550748056,2.57393147076254153100e-06] 
dist 152=[-.01859769358552105757,1.35226768177348491760e-06] 
dist 153=[-.0152461893867522561 ,.00163139724448855520] 
dist 154=[-.01726446114304611783,-5.65286425635573044820e-07] 
dist 155=[-.01614287177129940671,.00275956517442008610] 
dist 156=[-.01700678116971609265,-1.75732924323263715600e-07] 
dist 157=[-.01507508508549560293,.00488723113171064725] 
dist 158=[-.01604920771935072763,6.30144198043701518060e-07] 
dist 159=[-.01451883818942675848,.00474210303610285834] 
dist 160=[-.01555180690403111426,8.75524512859001039310e-07] 
dist 161=[-.02124389123854140873,.02206874848971828910] 
dist 162=[-.01288045324037365338,3.14448934502683038460e-07] 
dist 163=[-.02113165567748436076,.02235263355252264466] 
dist 164=[-.01185915154772616728,2.25156084145653196680e-07] 
dist 165=[-.02125603266376083798,.02367016928315336534] 
dist 166=[-.01034042165559662570,2.84845437775361258570e-08] 
dist 167=[-.02110136680862627973,.02418475678067490999] 
dist 168=[-.00949962720239306087,.00341269803479948995] 
dist 169=[-.01248317692586156980,.02038267275927075613] 
dist 170=[-.00209756921705282136,.01154881790692500886] 
dist 171=[-.01563491645018918891,.02225753264674583662] 
dist 172=[-.00051892535435390457,.01508614542545919278] 
dist 173=[-.01654475638429417840,.02049750805619243662] 
dist 174=[-1.68126584073659778450e-09,.01877883042189617630] 
dist 175=[-.01801221741507626510,.02101128324217434316] 
dist 176=[2.49023614311836528150e-08,.02207083412896485760] 
dist 177=[-.00710137204575593072,.00704878569791250557] 
dist 178=[-.00061073873213924612,.02543078108162274474] 
dist 179=[-.00679844769221784858,.00686183432360712472] 
dist 180=[-.00146742975034202687,.02657593995837463471] 
dist 181=[-.01073090861037853366,.00887815227780173414] 
dist 182=[-.00302167307595401636,.02579692612527056179] 
dist 183=[-.00961213031307111532,.00909813793699374913] 
dist 184=[-.00267652388040967631,.02534939710806846789] 
dist 185=[-.01406057044159268388,.01473777434561790957] 
dist 186=[-.01227021254696226046,-5.84670342405961444290e-09] 
dist 187=[-.01388719092407910890,.01446245166913015011] 
dist 188=[-.01454636379891487498,-1.67567872203685619960e-09] 
dist 189=[-.01870017136634449298,.01322636697516269971] 
dist 190=[-.01660648435449832439,4.41422888358814367010e-08] 
dist 191=[-.01648395143143634420,.01387173770202437265] 
dist 192=[-.01857321259916134272,3.51544187022901841150e-08] 
dist 193=[2.06185829432054343460e-09,.03578165911587490143] 
dist 194=[-.02240904724783064508,6.52924069273336013970e-09] 
dist 195=[-2.18261486456471595980e-08,.03696152248963482820] 
dist 196=[-.02399000270864051170,4.56917039144391575930e-09] 
dist 197=[-2.65004899132225907320e-08,.03392090191973199014] 
dist 198=[-.02379603221181842586,2.88304007587822514090e-08] 
dist 199=[-.00309685865220561543,.03290881399764383525] 
dist 200=[-.02306865267326305800,2.57287899204470882700e-08] 
dist 201=[-4.30687766474189349340e-09,.02242993411859150836] 
dist 202=[-.01659920618740636552,.00437667731840398028] 
dist 203=[-.00385831958953503993,.02337225522511618051] 
dist 204=[-.01554064051045322236,.00821238666734425179] 
dist 205=[-.00169784139815806779,.02363086261355317835] 
dist 206=[-.01352070627829499079,.01184891954988195031] 
dist 207=[-.00271543171180224672,.02462381098836500881] 
dist 208=[-.01243379581612801317,.01257024992859588473] 
dist 209=[-.01137834961680348479,.00848678197271236688] 
dist 210=[-.00680962359665767325,.01580809745892436549] 
dist 211=[-.01213672865693246733,.00709562831945702891] 
dist 212=[-.00498766513303739797,.01664169758338364251] 
dist 213=[-.01497890195593652161,.0226153076016256104 ] 
dist 214=[-.00375880630793817558,.01716075701435968925] 
dist 215=[-.01660064831537904921,.01896273856091338224] 
dist 216=[-.00416585706684696695,.01709526643336239705] 
dist 217=[-.03160280180238064071,.03377051729047081484] 
dist 218=[-2.04315555451206674640e-09,3.75626338293930896350e-09] 
dist 219=[-.03167184117983277956,.03293131861783475898] 
dist 220=[-2.09273170403438036490e-09,2.83179146965320594520e-09] 
dist 221=[-.02860006097825236490,.03737008050772435652] 
dist 222=[-3.55048415674659315800e-09,3.67528528386071288510e-09] 
dist 223=[-.02883195249174824633,.03639881604188055242] 
dist 224=[-3.99154882171294324520e-09,4.18407612681876072990e-09] 
dist 225=[-.02960227874272845826,.01577121227088845321] 
dist 226=[-1.20042846462080713190e-08,1.66363993658617811800e-09] 
dist 227=[-.02898152692408403343,.01600139214342918550] 
dist 228=[-1.28100494327502632460e-08,1.27191563122048462010e-09] 
dist 229=[-.03564288492214804006,.01558571971383052609] 
dist 230=[-1.45930873298836064800e-08,2.03645222718193153030e-08] 
dist 231=[-.03451704201698611473,.01569388407181022187] 
dist 232=[-1.52092664204143527710e-08,2.81469793356088932050e-08] 
dist 233=[-.03463897664217166883,.01559066606603366066] 
dist 234=[-9.93447726646005689360e-09,3.11123492922017602870e-09] 
dist 235=[-.03619457194662406673,.01571877284167417888] 
dist 236=[-1.43132955892844243330e-08,34647572641.660508669           ] 
dist 237=[-.03533840219054405489,.01542007024102653244] 
dist 238=[-1.24823959250425183170e-08,1.19749052318869613590e-08] 
dist 239=[-.03380773357175237237,.01569807012391377161] 
dist 240=[-1.57372282304531588670e-08,1.46019879328465708820e-08] 
dist 241=[-.02911667749176115038,.01658018145989754926] 
dist 242=[-1.54021927633409257890e-09,3.40236647713564542410e-09] 
dist 243=[-.02856388143285640805,.01669805850175264501] 
dist 244=[-1.32010535230900369150e-09,2.61489247901813146650e-09] 
dist 245=[-.03509298805012722728,.01685771397997714194] 
dist 246=[-3.14556316328483491200e-09,2.89997184479179354380e-09] 
dist 247=[-.03430004684226361325,.01668438034325702194] 
dist 248=[-4.03950192275593820340e-09,3.78659957642243912750e-09] 
dist 249=[-.03355168365432276073,.01742409402988196621] 
dist 250=[-3.44608916082106418280e-09,3.76087416755213041690e-09] 
dist 251=[-.03499290031791092721,.01729161091945109761] 
dist 252=[-2.73493800442398326040e-09,2.84103383539745891100e-09] 
dist 253=[-.03422137304289769063,.01701915734544681185] 
dist 254=[-2.80468670070658726970e-09,2.97633864347665937820e-09] 
dist 255=[-.03266948916564381150,.01701682279019900460] 

8 phat 5 dirichlet min maxes function [0, 0, 0, 2, 2, 0, 1, 1, 2] 
dist 0=[339.50444999028185520   ,339.50444999028185520   ] 
dist 1=[316.11450248400818196   ,345.64065624043120596   ] 
dist 2=[282.24408409767656706   ,346.01310107443873935   ] 
dist 3=[246.86737973955014377   ,340.58287806831427072   ] 
dist 4=[181.01633304916629236   ,329.97199955149695303   ] 
dist 5=[124.71674320497439619   ,244.78082721938264125   ] 
dist 6=[70.228432731866631615  ,225.16155242956698961   ] 
dist 7=[9.5830783867271757369 ,159.20606595080594601   ] 
dist 8=[-42.224181648430005960  ,149.17972416845489514   ] 
dist 9=[-62.758702834682469720  ,32.161420778899542326  ] 
dist 10=[-70.662135333144098687  ,8.6141061145081342221 ] 
dist 11=[-79.362396901234626448  ,4.3370562325586546006 ] 
dist 12=[-87.524861738988205474  ,5.1823612309096895274 ] 
dist 13=[-87.761080701403969309  ,12.246744571685795388  ] 
dist 14=[-66.671689907738002765  ,19.533547819223128444  ] 
dist 15=[-52.914480517352603022  ,24.982099158152416147  ] 
dist 16=[-50.602520072731712487  ,34.224105414277501297  ] 
dist 17=[-1.0816867653011699534 ,35.884091349031516893  ] 
dist 18=[1.5165371036393246073 ,34.531468828479246602  ] 
dist 19=[-4.7323904317135790407 ,32.073876320956436563  ] 
dist 20=[-9.5050684183341345649 ,31.453253540529971668  ] 
dist 21=[-16.795290271912768187  ,32.353542406937541180  ] 
dist 22=[-23.478020750253160133  ,31.409817651320561694  ] 
dist 23=[-25.093690431052922681  ,26.614873051019993338  ] 
dist 24=[-11.770446225059894246  ,23.917735732099069441  ] 
dist 25=[-12.385557391573081701  ,9.2679960965493200522 ] 
dist 26=[-21.157863439067055890  ,7.5080658739831042411 ] 
dist 27=[-26.644912660674035011  ,11.318548640638625522  ] 
dist 28=[-27.959693495533435525  ,13.741204964868938776  ] 
dist 29=[-2.6182653892830844259 ,14.409952866882391130  ] 
dist 30=[1.5691912270577806972 ,5.9623522338859044659 ] 
dist 31=[2.0196041098006455964 ,6.8298600284363662579 ] 
dist 32=[2.0713709241508451927 ,7.1101361893602862020 ] 
dist 33=[1.0851895391951317200 ,6.9740373229821531900 ] 
dist 34=[.04589145887864384373,5.9507385526968905865 ] 
dist 35=[-.69163139290573544723,5.7059589986498905181 ] 
dist 36=[-2.0782227415628527161 ,1.6498611665892206336 ] 
dist 37=[-3.2481346442498818120 ,1.0538226752705452312 ] 
dist 38=[-3.9531231447679531183 ,-.27206306607068477365] 
dist 39=[-4.0578235139534977214 ,-.4929373527865818818 ] 
dist 40=[-2.6901600874310709522 ,-.93600510872473967367] 
dist 41=[-2.6874529309820500279 ,-.39702178140436120871] 
dist 42=[-2.4495768942340100980 ,.14327141585169623996] 
dist 43=[-2.3950930518475730603 ,.44759632748324562106] 
dist 44=[-1.4187991267823311077 ,.62225815985685314504] 
dist 45=[-1.4933716414367559600 ,.66792221775734740154] 
dist 46=[-1.6182286228157473773 ,.83393157915730587386] 
dist 47=[-1.7631097148420936467 ,.9132004162472023642 ] 
dist 48=[-1.9406220269574296515 ,.94902008839940335926] 
dist 49=[-2.1873380682960046048 ,.95109767898950121778] 
dist 50=[-2.4217832840634284699 ,.89226915340662748763] 
dist 51=[-2.5497622658773121541 ,.88368780351311401964] 
dist 52=[-2.6061127060653025599 ,.89913487732724813804] 
dist 53=[-2.5616792058925853089 ,.9615113503318100239 ] 
dist 54=[-2.4664791926006082099 ,1.0373972024865931365 ] 
dist 55=[-2.3256975671082155852 ,1.1042133878602674919 ] 
dist 56=[-.56904922088095945463,1.1745950561371298273 ] 
dist 57=[-.50500211597059476974,1.2626389605363437479 ] 
dist 58=[-.35802446936136825145,1.3456934893807725860 ] 
dist 59=[-.30643893525603960639,1.5238336835405618146 ] 
dist 60=[-.12951204556773782703,1.7022188167064770011 ] 
dist 61=[-.08437049478091542584,1.8164839097024956492 ] 
dist 62=[-.06925156270769549221,1.9010847758612355207 ] 
dist 63=[-.10248342455583410694,1.9633514353138249140 ] 
dist 64=[-.15408725069980454472,2.0061662885185579919 ] 
dist 65=[-.21302451092329433404,2.0146013412717985748 ] 
dist 66=[-.28669959532488173278,2.0113633852986685844 ] 
dist 67=[-.3966878067220769854 ,2.0075325870639504188 ] 
dist 68=[-.51671730146295894361,1.9143224895702720653 ] 
dist 69=[-.63060220751676198419,1.8837995079871339279 ] 
dist 70=[-.75958535037605960038,1.8611605338792052213 ] 
dist 71=[-.9405443072315932794 ,1.8452671196615915285 ] 
dist 72=[-1.1203947545470348635 ,1.4540010454110285301 ] 
dist 73=[-1.2155728587980746023 ,1.4675046761872397830 ] 
dist 74=[-1.2861462231188210559 ,1.4820472142949759432 ] 
dist 75=[-1.3231897009501101680 ,1.4955406619416960647 ] 
dist 76=[-1.3491769842283203292 ,1.5105367381008079102 ] 
dist 77=[-1.7391155784336864754 ,1.5311628075175355329 ] 
dist 78=[-2.2144285501396266630 ,1.5510254503207914849 ] 
dist 79=[-2.5173919069054103002 ,1.5630355596880153986 ] 
dist 80=[-2.7518782850145582940 ,1.5715818894796588324 ] 
dist 81=[-2.9538842860629394876 ,1.5776729642292876401 ] 
dist 82=[-3.1191792243250319589 ,1.5818540087710611108 ] 
dist 83=[-3.2071601532503560239 ,1.5827929245233986120 ] 
dist 84=[-3.2554397704839584237 ,1.5816279588023034073 ] 
dist 85=[-3.2623558152752612061 ,1.5774024860517007997 ] 
dist 86=[-3.2516801307841804341 ,1.5720955991783882859 ] 
dist 87=[-3.2391893787737928118 ,1.5666006534151063895 ] 
dist 88=[-3.2219978676372978316 ,1.5599463249749257679 ] 
dist 89=[-3.1939438729663636881 ,1.5499923306050063084 ] 
dist 90=[-3.1611787202117548605 ,1.5386689983849238302 ] 
dist 91=[-3.1252000590007542847 ,1.5265439438420321087 ] 
dist 92=[-3.0891148942841961298 ,1.5123094415633273402 ] 
dist 93=[-3.0558967335439593599 ,1.4925662545572449041 ] 
dist 94=[-.98042204515578733902,1.4658011422821060146 ] 
dist 95=[-.96752248866409699215,1.6138487521994488331 ] 
dist 96=[-.52912437507271760806,1.7533572465866416157 ] 
dist 97=[-.45241929717371608891,1.8342229008607055451 ] 
dist 98=[-.36794650087082187291,1.8870235647315021341 ] 
dist 99=[-.33702445034162845346,1.9114710570254537425 ] 
dist 100=[-.25596037456652080946,1.9475818727029015202 ] 
dist 101=[-.23044267263975140806,2.2978675333047353664 ] 
dist 102=[-.21492376818892290917,2.6317828394565925152 ] 
dist 103=[-.20794946373758525556,2.8466600158765132547 ] 
dist 104=[-.15066249327826134275,3.0154037886263857080 ] 
dist 105=[-.42960955255445262159,3.1651942132407539578 ] 
dist 106=[-.72473359943298072602,3.2912119905434111721 ] 
dist 107=[-1.0095838303203084900 ,3.3650722378480161386 ] 
dist 108=[-1.3413157872083267571 ,3.4147820565836036838 ] 
dist 109=[-1.8235237285470398209 ,3.4444045413758345403 ] 
dist 110=[-2.2981024966195559434 ,3.4579809255887940346 ] 
dist 111=[-2.5993946049080330332 ,3.4556136672683226199 ] 
dist 112=[-2.8313010648476948222 ,3.4225095195401381539 ] 
dist 113=[-3.0290066722187717082 ,3.4088964524390021484 ] 
dist 114=[-3.1895437419727827807 ,3.2439509264858205438 ] 
dist 115=[-3.2731378272733333602 ,3.1912455787280496757 ] 
dist 116=[-3.3184551807573699926 ,3.1506316777019587380 ] 
dist 117=[-3.3262086689874098813 ,3.1159351989063250946 ] 
dist 118=[-3.3006953326976476098 ,2.4449579411238235357 ] 
dist 119=[-3.2839072289242697232 ,2.2757812842266400855 ] 
dist 120=[-3.2629609599684096555 ,2.1516561262984608713 ] 
dist 121=[-3.2309496199709676817 ,2.0779681630045812280 ] 
dist 122=[-3.1943091115073513485 ,1.8773386059548797631 ] 
dist 123=[-3.1548656075978304076 ,1.7895545216786027252 ] 
dist 124=[-3.1169278394300731318 ,1.7234579662220283555 ] 
dist 125=[-3.0863044219591079163 ,1.6871307154043357897 ] 
dist 126=[-2.9838529395723631953 ,.47727571097131557812] 
dist 127=[-2.9767325797049719086 ,.51627034648332764919] 
dist 128=[-2.9287916345111170552 ,.30145629676795153427] 
dist 129=[-2.9209133987854249463 ,.32175637961982817406] 
dist 130=[-2.7328916026318143618 ,.22182535216449258022] 
dist 131=[-2.6841938352224432906 ,.24747371769234149714] 
dist 132=[-2.6550300816063028063 ,.13082671420622628473] 
dist 133=[-2.6449225063796524353 ,.17073186574086195363] 
dist 134=[-1.9305154891157031982 ,6.8905755550802923426 ] 
dist 135=[-1.8353713315316621738 ,.1430865238352591267 ] 
dist 136=[-1.6528456179078952713 ,-.17497018475694650849] 
dist 137=[-1.5755744024972177435 ,-.18898700290903353792] 
dist 138=[-1.4427946403472484840 ,-.21062256988187194542] 
dist 139=[-1.3905439449665665178 ,-.20998870575233077662] 
dist 140=[-1.3572508296136372274 ,-.19937598975000618531] 
dist 141=[-1.3411503317343930429 ,.28516193015357292735] 
dist 142=[-.2266229730365804154 ,.78483688195772856507] 
dist 143=[-.25115992263386739794,1.1266090655046790268 ] 
dist 144=[-.17195584041000849675,1.4179681745013179731 ] 
dist 145=[-.16402770545660642694,1.7164668010803237632 ] 
dist 146=[-.14888139518842302724,1.9965014624825161523 ] 
dist 147=[-.17071702810772292   ,2.2141803221468995845 ] 
dist 148=[-.14405983722757054591,2.4277566470539818168 ] 
dist 149=[-.17280212221057825648,2.6914232198056880173 ] 
dist 150=[-.15854122281935509505,2.9410586082896604008 ] 
dist 151=[-.19474876263461561204,3.0986425071940354993 ] 
dist 152=[-.23484098408051689067,3.2188956573867350254 ] 
dist 153=[-.25900149366008465841,3.3195565557370054255 ] 
dist 154=[-.27482333657874651681,3.3998573993324769844 ] 
dist 155=[-.28743648013127680862,3.4388601091156686325 ] 
dist 156=[-.28486761116157160284,3.4550605589575192488 ] 
dist 157=[-.78933726386168216592,3.4443645509785020388 ] 
dist 158=[-1.4099351813664047231 ,.02324862207295560216] 
dist 159=[-1.8127452894833558661 ,.07363465527386470494] 
dist 160=[-2.1329384772976724761 ,.12493542555027987045] 
dist 161=[-2.4238435306481817627 ,.17839287503867075823] 
dist 162=[-2.6734576593034383277 ,.18483699398670185939] 
dist 163=[-2.8375810050383019866 ,.23333086175343218206] 
dist 164=[-2.9638136091427859423 ,.22332289573265954565] 
dist 165=[-3.0691093741898712687 ,.25798007704576090114] 
dist 166=[-3.1565297409161647270 ,.23818566055685231055] 
dist 167=[-3.2114281733402261403 ,.26092352751152360864] 
dist 168=[-3.2529913053170463269 ,.17699803335234144645] 
dist 169=[-3.2871943773669635613 ,.1763221951059298038 ] 
dist 170=[-3.3140288049058940066 ,.17333814098684711266] 
dist 171=[-3.3261856353526441346 ,.19676855004771661832] 
dist 172=[-3.3299125739933373318 ,.16141945776670621029] 
dist 173=[-3.3231053369320489884 ,.20032684748463716477] 
dist 174=[-1.3347334943842132011 ,.15407297075045971239] 
dist 175=[-1.1717976731896795491 ,.19414585171644671549] 
dist 176=[-.77897215478641531449,.11771722109020060537] 
dist 177=[-.72441550615613321273,.10790773966768144125] 
dist 178=[-.16733570973439080689,.10108667404854393471] 
dist 179=[-.18212954591292586128,.29843783975331375121] 
dist 180=[-.01560882017045782506,.51224431177513989175] 
dist 181=[-.03040040549934328043,.77638485845400500544] 
dist 182=[-.03618390469185408532,1.0269348946792354344 ] 
dist 183=[-.06676962619602798414,1.1865061740005101155 ] 
dist 184=[-.09713170580245374605,1.3098992814018268294 ] 
dist 185=[-.11755558278974665503,1.4160759536403847692 ] 
dist 186=[-.13475354561343343054,1.5029796900450133745 ] 
dist 187=[-.15203823621550531772,1.5494619081773889457 ] 
dist 188=[-.16816280351474923042,1.5756264556146522082 ] 
dist 189=[-.18040890005447432208,1.5814509331279878821 ] 
dist 190=[-.19226080715101936935,1.5749598196073554919 ] 
dist 191=[-.2063503734837091582 ,1.5702884330002426259 ] 
dist 192=[-.21932843138775456367,1.5512611693676848755 ] 
dist 193=[-.22650335268641517499,1.5407702334968515005 ] 
dist 194=[-.23071492691648651441,1.4735323032975308869 ] 
dist 195=[-.23178731905750472775,1.4468424883440843674 ] 
dist 196=[-.23173605355059278009,1.4226080476922110105 ] 
dist 197=[-.23152740311174295232,1.3956185744281793525 ] 
dist 198=[-.2310085353777729003 ,1.1555725937209418982 ] 
dist 199=[-.23007555250001196867,1.0845868609371960448 ] 
dist 200=[-.00835582827292662414,1.0326662894696591946 ] 
dist 201=[-.00824025900704423701,1.0077030465277000384 ] 
dist 202=[-.00766024129857236971,.8918790580582474919 ] 
dist 203=[-.12063755409538396908,.84668793727754369892] 
dist 204=[-.30515157549107352269,.81309411702056518701] 
dist 205=[-.61432245979502591784,.7964500905620458124 ] 
dist 206=[-.9212827511803414844 ,.2485305168352879177 ] 
dist 207=[-1.1244815535988108624 ,.19804968886165685669] 
dist 208=[-1.2904757824353635350 ,.21487088435574724367] 
dist 209=[-1.4605267536314413688 ,.22474690328339531301] 
dist 210=[-1.6161770626939087935 ,.23160596099727567431] 
dist 211=[-1.7267046128396310676 ,.23526901056400680752] 
dist 212=[-1.8252802019837235552 ,.23805679122867745705] 
dist 213=[-1.9332366862585580976 ,.23782453092022263592] 
dist 214=[-2.0286147846742315406 ,.23742579523147972927] 
dist 215=[-2.0769982225052401838 ,.235019990796207467  ] 
dist 216=[-2.1026966015653883303 ,.16640214450215481156] 
dist 217=[-2.1075505984177291455 ,.18259602372371410069] 
dist 218=[-2.0819329064089265411 ,.2759914756575999778 ] 
dist 219=[-2.0733491939293107232 ,.37878504301134831086] 
dist 220=[-2.0664438414141139239 ,.50809820422946659058] 
dist 221=[-2.0600273020515064379 ,.70732339793295510472] 
dist 222=[-.14139596541439761589,.95168754592329249322] 
dist 223=[-.1940266509487469959 ,1.1108327250513528614 ] 
dist 224=[-.15687975543238890163,1.2373994019649352978 ] 
dist 225=[-.22191993860312960314,1.3524888637609069820 ] 
dist 226=[-.16408176271082015106,1.4513291991729162875 ] 
dist 227=[-.23004398335669104816,1.5803561219207762773 ] 
dist 228=[-.16643341238986580661,1.7044948396827152001 ] 
dist 229=[-.23500122698131142355,1.8384829139899628326 ] 
dist 230=[-.16504545007100412021,1.9589828596627242303 ] 
dist 231=[-.22896865319880441441,2.0292936838571770145 ] 
dist 232=[-.15872987371357349005,2.0762688350653947676 ] 
dist 233=[-.17068447250825651051,2.1036417543379299014 ] 
dist 234=[-.26855987617502532725,2.1185106322353761422 ] 
dist 235=[-.20995058215987299669,2.1155829310392344714 ] 
dist 236=[-.23064649018491581482,2.1062741627568827954 ] 
dist 237=[-.27637354832818904793,2.0956759101989375777 ] 
dist 238=[-.39889132633310682098,1.4718679172232167196 ] 
dist 239=[-.51027682059708523065,1.4167500426435692183 ] 
dist 240=[-.6763066921170441887 ,1.2757148024720434828 ] 
dist 241=[-.83482527626290490485,1.2528385921437079572 ] 
dist 242=[-.97627371892879742289,1.0186472148126150443 ] 
dist 243=[-1.0741829861041773450 ,.98876918131924233375] 
dist 244=[-1.1588955634060585327 ,.91721963318250393778] 
dist 245=[-1.2476809096062569230 ,.92276900104292769734] 
dist 246=[-1.3274217129481161683 ,.45288838343200703757] 
dist 247=[-1.3760408708963608787 ,.45394754259199491254] 
dist 248=[-1.4111460717199052753 ,.27505865547721393036] 
dist 249=[-1.4369576819732360949 ,.30923449935850323241] 
dist 250=[-1.4548009355547097108 ,.11940376795784057635] 
dist 251=[-1.4581073807211269451 ,.15178656959806242906] 
dist 252=[-1.4551975658664838952 ,.04732067644101122111] 

8 phat 5 dirichlet min maxes function [0, 2, 1, 2, 1, 2, 0, 1, 2] 
dist 0=[356.79155949619512436   ,356.79155949619512436   ] 
dist 1=[345.67379631769651530   ,361.98685348699351560   ] 
dist 2=[312.51856988883691058   ,361.07236787596924384   ] 
dist 3=[256.14429045745650162   ,352.70576045562216015   ] 
dist 4=[184.25323020916307269   ,274.39863919960445261   ] 
dist 5=[125.00030310535675709   ,255.02653368854642243   ] 
dist 6=[69.069397049454055788  ,193.16083295698418271   ] 
dist 7=[8.9597988790616841423 ,176.05012002225512620   ] 
dist 8=[-41.834732777990226874  ,48.839701267346925462  ] 
dist 9=[-61.959352891649950065  ,18.854066808870704926  ] 
dist 10=[-69.577651436669148777  ,11.742071435666528848  ] 
dist 11=[-75.805964589654981675  ,6.7970884844951274992 ] 
dist 12=[-87.090281841940296368  ,9.2818627475445036162 ] 
dist 13=[-88.934699910542107367  ,15.193206385593847562  ] 
dist 14=[-73.965593127775954301  ,25.686295231819006848  ] 
dist 15=[-61.324662165253549418  ,34.908204395595718920  ] 
dist 16=[.32248702322969596744,36.952961509048365165  ] 
dist 17=[10.192962794312521310  ,38.231660807128489535  ] 
dist 18=[15.766451799977178447  ,36.111671085007817727  ] 
dist 19=[.86037130642291870694,38.867031446792716996  ] 
dist 20=[-9.9722920017333756642 ,39.903742473806446861  ] 
dist 21=[-20.801844890808622669  ,38.875787254383649142  ] 
dist 22=[-27.701806799651541811  ,32.216567426331202683  ] 
dist 23=[-29.464129566764249970  ,29.115773328320492720  ] 
dist 24=[-23.846955984651915130  ,7.0161783074245627752 ] 
dist 25=[-22.973289996258449038  ,2.5826773890022363182 ] 
dist 26=[-29.116969212563007184  ,-.67384874862798160373] 
dist 27=[-30.299384087459021877  ,8.3315730507674394325 ] 
dist 28=[-8.3343770106206895753 ,14.417139632450639587  ] 
dist 29=[-7.8310006388398435310 ,18.671921140088056942  ] 
dist 30=[-5.6007541016756391780 ,19.424101738364054722  ] 
dist 31=[-5.3568286496296349556 ,4.4166146778859330041 ] 
dist 32=[.80884215735500634931,4.8967250780327833381 ] 
dist 33=[1.7322133701670735451 ,5.9153017202452682772 ] 
dist 34=[.52618534609998174049,7.4603537468358182127 ] 
dist 35=[-.72463145114042545047,7.9598223657091872393 ] 
dist 36=[-1.5107000300492215620 ,7.9276209879004482694 ] 
dist 37=[-2.2289306774859384386 ,7.7357255315565216891 ] 
dist 38=[-3.0214123791060390838 ,6.3674313250826743071 ] 
dist 39=[-3.1854945828108558080 ,6.0601741426051151765 ] 
dist 40=[-3.9948119696811158722 ,1.5792366456482436965 ] 
dist 41=[-5.1222240614623816181 ,1.1083997760382704953 ] 
dist 42=[-5.6737949846011118663 ,1.8946112107620172239 ] 
dist 43=[-5.7633651185770401271 ,2.8356633354242755298 ] 
dist 44=[-3.8474111661332286855 ,3.3423889519765594890 ] 
dist 45=[-3.7882567819427553657 ,3.6010235270620775326 ] 
dist 46=[-3.3159477313892186168 ,3.6096547080698346675 ] 
dist 47=[-3.2461766233595580098 ,.79966554890672640769] 
dist 48=[-1.5547220389774591774 ,1.0861291603075137335 ] 
dist 49=[-1.2351422623142411298 ,1.2190198339870915516 ] 
dist 50=[-1.4676493867161528506 ,1.2762564964517138042 ] 
dist 51=[-1.9447146368019653320 ,1.2760044718985172879 ] 
dist 52=[-2.1876294571128426358 ,1.5001040811427105283 ] 
dist 53=[-2.2908987724492591750 ,1.9504434566793075622 ] 
dist 54=[-2.2902114166339693985 ,2.2609523463202709823 ] 
dist 55=[-1.9960466054511483277 ,2.4644234834333375098 ] 
dist 56=[-1.8954486568399305312 ,2.6054309521312984835 ] 
dist 57=[-1.5453089713421705789 ,2.6690566114544647736 ] 
dist 58=[-1.3944256467610474911 ,2.6998335511052778303 ] 
dist 59=[-.82494873822429748669,2.7053196143638889456 ] 
dist 60=[-1.7752488073448106683 ,1.3543582825487450980 ] 
dist 61=[-2.3274379309858756314 ,1.3773757140772383682 ] 
dist 62=[-2.6764119843864094106 ,1.3657876591075487764 ] 
dist 63=[-2.8244911562972260737 ,.53031314538507968119] 
dist 64=[-2.8929208357372523804 ,.57309880837807369557] 
dist 65=[-2.9270771965073656169 ,.59479508990890264852] 
dist 66=[-2.9442192105334427644 ,.60669828136131616752] 
dist 67=[-2.9443873097565280356 ,.61105280851996013425] 
dist 68=[-.76271097280269679484,.6142133578448293552 ] 
dist 69=[-.50368642200184394804,.6212360095500502771 ] 
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dist 71=[-.32300742927368855476,.67947631122922867808] 
dist 72=[-.38647220641893974219,1.0367685510564833296 ] 
dist 73=[-.42528188594531043871,1.2354926716884868399 ] 
dist 74=[-.45446527689891609663,540.16674934114857834   ] 
dist 75=[-.47954715233625035939,1.3802989497174937016 ] 
dist 76=[-.50161596445547323093,1.3338723879636999939 ] 
dist 77=[-.51862898547648699362,1.3112040041404571912 ] 
dist 78=[-.53564563992472670919,1.2263980646731000817 ] 
dist 79=[-.55728780373270222638,1.1823147888551730779 ] 
dist 80=[-.5786202733461100526 ,.9145727776020093777 ] 
dist 81=[-.59425642568614001554,.84817678649452827949] 
dist 82=[-.6079651302504652308 ,.71063627804792231001] 
dist 83=[-.62163105673990094411,.66772239429127517375] 
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dist 85=[-1.2937871757012241717 ,.31653978910131678977] 
dist 86=[-1.5281290116916381762 ,.28239123572398928922] 
dist 87=[-1.7124787017058890233 ,.31238290879557394922] 
dist 88=[-1.8425189321946286703 ,.34895519030823326609] 
dist 89=[-1.8706773585038976582 ,.37786106864939058603] 
dist 90=[-1.8456671556383321559 ,.40251400079246261357] 
dist 91=[-1.8330482679713235920 ,.59305608505552802398] 
dist 92=[-.54002353866199762749,.95409752906062831677] 
dist 93=[-.52985377785060382245,1.1705543180020308167 ] 
dist 94=[-.52211256629484317044,1.3847702311296614661 ] 
dist 95=[-.51978551636710426568,1.6109210524705761029 ] 
dist 96=[-.36973785857273884288,1.7784377217186267072 ] 
dist 97=[-.35013438404769357216,1.8444966791155403417 ] 
dist 98=[-.31163254357193331784,1.8557655212015411728 ] 
dist 99=[-.30171156613279356556,1.8393763476084006255 ] 
dist 100=[-.28833481339323914269,1.1437262330675762234 ] 
dist 101=[-.59024949491332329628,1.0370199068953733916 ] 
dist 102=[-.81994822427704591055,.74308401678574528585] 
dist 103=[-.99940976968630782875,.69031304759848223139] 
dist 104=[-1.1382581446747861687 ,.18330520922725612431] 
dist 105=[-1.2074086526066471688 ,.20730812559411685507] 
dist 106=[-1.2363691568650946946 ,.26195248013221899011] 
dist 107=[-1.2325253886792003420 ,.31897155309002875805] 
dist 108=[-.49455267532418366568,.37313837552982521897] 
dist 109=[-.49115206772604461571,.41637322766651789227] 
dist 110=[-.48997743760393223189,.45981606399957821244] 
dist 111=[-.23853624098719014954,.5147784573321495973 ] 
dist 112=[-.21622117886395844251,.56723130529733463111] 
dist 113=[-.16513461312170841448,.60065307090051670258] 
dist 114=[-.15708903887770078192,.62642376316830113402] 
dist 115=[-.09896873239809483033,.6483596194031208612 ] 
dist 116=[-.09003176372129483399,.66604490090564898748] 
dist 117=[-.07371965885417680400,.67486377096241751899] 
dist 118=[-.06689478583740400077,.6788334674864343175 ] 
dist 119=[-.14693874845475435147,.67855521109807623111] 
dist 120=[-.26772819968914177322,.31913204453559637279] 
dist 121=[-.34633700776896728901,.31613542390246103819] 
dist 122=[-.40904913184953282538,.3138157660915261547 ] 
dist 123=[-.46639472120548710964,.29840322224891286724] 
dist 124=[-.51582987409580021809,.29453349657295557392] 
dist 125=[-.54937253833643686089,.28393216465063713574] 
dist 126=[-.57559046615677837008,.28056328816651166179] 
dist 127=[-.59843309290570621447,-.14662261718753747103] 
dist 128=[-.61778259560970492782,-.15039382809945525758] 
dist 129=[-.63006137214888183933,-.13846427952726558516] 
dist 130=[-.63945064760845200481,-.11546492846802228174] 
dist 131=[-.64728003874496198325,-.07360973153331400583] 
dist 132=[-.65345270358831115551,-.02947277237731789743] 
dist 133=[-.65623871447829041348,.00117204844124218246] 
dist 134=[-.65706203714890366353,.02649016883228080808] 
dist 135=[-.65541405598620877374,.05026974844545389866] 
dist 136=[-.2552928776199720053 ,.07024366585782929001] 
dist 137=[-.22263436182507315446,.08145227297521211851] 
dist 138=[-.14419752940232260271,.09148430596402546764] 
dist 139=[-.13294935714816728009,.09770217282751931341] 
dist 140=[-.02372296315367009004,.10140864648509075914] 
dist 141=[-.00431847052165179181,.10174665912780463877] 
dist 142=[.01971286905949087600,.10685467496367953416] 
dist 143=[.02370280400334785990,.15683517917700671513] 
dist 144=[.02660613262378577643,.20402625245242341949] 
dist 145=[.01243726542073676745,.2338871154539167979 ] 
dist 146=[-.00420991816584563591,.25679562564100966425] 
dist 147=[-.02776693985125444208,.27623929635042041981] 
dist 148=[-.05080300588146139044,.29200963324282937091] 
dist 149=[-.06722486484121775452,.30025505137151973762] 
dist 150=[-.08207177517701849019,.30483406068632069972] 
dist 151=[-.09481955880818309082,.30596542495631414308] 
dist 152=[-.10473909120573562261,.30372476302385285167] 
dist 153=[-.10837604184575560007,.30279809693200878014] 
dist 154=[-.10888076478276488686,.29966261108981460482] 
dist 155=[-.10761951868360884287,.29797095463300879691] 
dist 156=[.02970147113450791720,.28672604869016095034] 
dist 157=[.03978069492689972877,.28369498381032153205] 
dist 158=[.05575689733484528978,.27715987438762165221] 
dist 159=[.03389327387272796957,.27497868698113588032] 
dist 160=[.01946476560921024059,.23143641003880289648] 
dist 161=[.00547786600330736319,.22466650762844678868] 
dist 162=[.02291799531687721368,.2090329265690916888 ] 
dist 163=[-.02971798648804419097,.20428897485826679493] 
dist 164=[-.04792399164250352720,.1813218235579230053 ] 
dist 165=[-.05678109797468757046,.17607564184777429117] 
dist 166=[-.05861345543021615191,.16556732643106165282] 
dist 167=[-.11950498534122253808,.16215927284209022989] 
dist 168=[-.17997902827865623594,.04716752438898784212] 
dist 169=[-.22000395451251682757,.05656240057096556790] 
dist 170=[-.25267558455760510381,.01571228155929914116] 
dist 171=[-.28447003452027498494,.03820377535936526556] 
dist 172=[-.31333671469690655689,-.00483699171289450271] 
dist 173=[-.33351332643830435175,-.00808530280964760185] 
dist 174=[-.35123210888043719475,-.00817314149888922462] 
dist 175=[-.37026982831427129601,-.00397641839366149810] 
dist 176=[-.387020775477628047  ,.00211233040778847851] 
dist 177=[-.39557756259532710447,.00957426318466167898] 
dist 178=[-.40012530121651834558,.01946035016094755188] 
dist 179=[-.40103748884793156868,.03574138584579495687] 
dist 180=[-.39721552305669845187,.05616110929942876135] 
dist 181=[-.39575447016417652777,.07752073433295820805] 
dist 182=[-.3943940867731723895 ,.09882842923685673818] 
dist 183=[-.39288331073400852208,.14516528796025534102] 
dist 184=[-.14006244320951141211,.19273445498852776035] 
dist 185=[-.15770613522203652355,.22298510827165367895] 
dist 186=[-.17802715837801544855,.24646733089957387012] 
dist 187=[-.21074388395601121922,.26690140376705350594] 
dist 188=[-.24105235056525860868,.28362219682643075084] 
dist 189=[-.26071087581864918747,.30710020509327353137] 
dist 190=[-.27342124875712641248,.33276714159092638557] 
dist 191=[-.28515833018479624204,.36098902137423848675] 
dist 192=[-.29289573808205520322,.38651928574726259043] 
dist 193=[-.29556066390136433987,.40146328689461476628] 
dist 194=[-.2957022779091944658 ,.41146033943070185189] 
dist 195=[-.29561536815020767922,.41728041488957337376] 
dist 196=[-.27759180481096286455,.42043439979494525934] 
dist 197=[-.2739640387352494084 ,.42012740462135050147] 
dist 198=[-.26483866692166762891,.41784217455148089624] 
dist 199=[-.2614082810798504768 ,.41548729868109428369] 
dist 200=[-.24492296727698057125,.28749114400706831634] 
dist 201=[-.24063800055752557203,.27688961230292645786] 
dist 202=[-.23216354625649996515,.24960749465156540963] 
dist 203=[-.22941944051409819888,.24522922077384271023] 
dist 204=[-.18991576617622243673,.19939749359859340758] 
dist 205=[-.20896218057383822019,.19032866050761393145] 
dist 206=[-.22544142242082876398,.17970723348092567562] 
dist 207=[-.24271295202306413524,.17650781589807563001] 
dist 208=[-.25822502797123688436,.08752002955683934477] 
dist 209=[-.2676829769676841273 ,.07622800811563155017] 
dist 210=[-.27451203337950426076,.05232307294428602154] 
dist 211=[-.27953319789507928001,.04617771152181370261] 
dist 212=[-.28300426887307919808,.02168109328853431784] 
dist 213=[-.28364747203761721715,.01702275334245007237] 
dist 214=[-.28308142572969776322,.00769280736035409189] 

8 phat 5 dirichlet min maxes function [0, 2, 2, 0, 2, 1, 0, 1, 2] 
dist 0=[366.49940225721552379   ,366.49940225721552379   ] 
dist 1=[323.53783897925598244   ,356.99250096396656076   ] 
dist 2=[289.93497701703740503   ,366.49940225721552379   ] 
dist 3=[200.67759837815677442   ,353.34024437042206915   ] 
dist 4=[176.00593704499949033   ,274.33625157151294647   ] 
dist 5=[105.75081319419091683   ,255.59339262101873313   ] 
dist 6=[53.621945625013287732  ,197.91861520105204444   ] 
dist 7=[.52076910913371811171,176.80018630739404677   ] 
dist 8=[-85.365224897508696000  ,62.886520783946315493  ] 
dist 9=[-96.846481800114019882  ,40.935700713385768214  ] 
dist 10=[-102.69988386804518513   ,15.792173796232453311  ] 
dist 11=[-103.19053868674390037   ,-9.7977804590844081270 ] 
dist 12=[-75.750713172149701533  ,39.235970363966252663  ] 
dist 13=[-74.905846403920117348  ,55.407507166126183118  ] 
dist 14=[-63.344972571053620434  ,102.77746154968127921   ] 
dist 15=[-53.103993248300084183  ,105.98578284422102435   ] 
dist 16=[4.7285470089330727738 ,90.145945378127142307  ] 
dist 17=[14.262914859737086884  ,94.319646949679307053  ] 
dist 18=[10.010823193261115852  ,93.900304633946259211  ] 
dist 19=[1.0246981564821069470 ,89.735664855178307463  ] 
dist 20=[-36.108181359221425424  ,46.311162598677858738  ] 
dist 21=[-46.249634152387046851  ,45.125594434484120460  ] 
dist 22=[-70.281150242367402953  ,38.772770172003443726  ] 
dist 23=[-72.317070480051854380  ,35.916638160902091096  ] 
dist 24=[-31.849176747039984069  ,15.546684034204465734  ] 
dist 25=[-37.551429907830751691  ,11.149835691695507679  ] 
dist 26=[-47.584314722674490851  ,3.1746671561846687107 ] 
dist 27=[-48.675144844519704174  ,1.5330119911051415325 ] 
dist 28=[-12.904129434542542703  ,2.1985706985247046425 ] 
dist 29=[-10.218156932499516512  ,4.9185662284089011921 ] 
dist 30=[-6.4167137345602912703 ,8.5512125270003276418 ] 
dist 31=[-5.7757139526424386989 ,11.901015213252838319  ] 
dist 32=[5.3093091640547075931 ,14.441175217092937024  ] 
dist 33=[4.8593112381860231347 ,15.941968839004910710  ] 
dist 34=[4.2001665218926198208 ,18.091036339082689399  ] 
dist 35=[.48842684768450185745,19.092531597611969067  ] 
dist 36=[-3.2151413814778938596 ,19.574425155730048591  ] 
dist 37=[-6.3855118806487069301 ,19.672963364689998605  ] 
dist 38=[-9.5780541332377495617 ,19.660769277709731342  ] 
dist 39=[-13.002884814691509287  ,19.641821797172122465  ] 
dist 40=[-16.471337022626603800  ,6.4659784483476221719 ] 
dist 41=[-17.913184971076168446  ,4.9756217477155107579 ] 
dist 42=[-20.522621004533126044  ,4.6654555847914245088 ] 
dist 43=[-21.538210254835474678  ,3.7965170360041693975 ] 
dist 44=[-21.938654405921230283  ,6.6804714317322413839 ] 
dist 45=[-22.117745667254788276  ,8.5015287072109968019 ] 
dist 46=[-22.193452499953397786  ,9.9192405763783449370 ] 
dist 47=[-22.174429227693649557  ,10.973759138742782373  ] 
dist 48=[-9.0595919080875907622 ,11.695696354615742430  ] 
dist 49=[-9.0177860507637997697 ,12.264845435156392738  ] 
dist 50=[-8.9551850505676595658 ,12.560497249616280163  ] 
dist 51=[-8.3660787769690183633 ,12.363214349600327235  ] 
dist 52=[-8.1405660630648024260 ,7.7336768116562689896 ] 
dist 53=[-7.2260824732946155991 ,9.1904254177729866912 ] 
dist 54=[-7.1371158617511537870 ,12.359988009367872668  ] 
dist 55=[-6.8819605554136929964 ,10.295411146497285687  ] 
dist 56=[-8.1846143514971712483 ,10.049154507967550184  ] 
dist 57=[-8.8527391960182169277 ,9.8841554879201822825 ] 
dist 58=[-9.2484732001510397856 ,9.2674885983828879166 ] 
dist 59=[-9.2189817845845582010 ,8.9992002816950945316 ] 
dist 60=[-.34897878157550443086,6.9759245155611757418 ] 
dist 61=[-.42927443590775209522,6.4896362194970502765 ] 
dist 62=[-.64429352116654054664,5.4645507590512177592 ] 
dist 63=[-3.7671584236016128335 ,5.1319589876197509585 ] 
dist 64=[-7.3223329173306456957 ,.89979115729067940873] 
dist 65=[-9.6409642225048953621 ,1.1190684837768719021 ] 
dist 66=[-11.415790741600647074  ,1.3706939482291264714 ] 
dist 67=[-12.819556301787003999  ,1.6906452227584710216 ] 
dist 68=[-13.814011647225097785  ,2.0033937490914330922 ] 
dist 69=[-14.054621914672492149  ,2.1861658735830794195 ] 
dist 70=[-13.852219340755515016  ,2.3131155570716024519 ] 
dist 71=[-13.756390989448596280  ,4.5105403016957869298 ] 
dist 72=[-.33602169381552380194,7.2198959785845135007 ] 
dist 73=[-.51805213406026605274,8.8430974838040082501 ] 
dist 74=[-1.0930475960433906334 ,10.418527350835305099  ] 
dist 75=[-1.9785635059648457769 ,12.120610454846264620  ] 
dist 76=[-2.8533321231021362004 ,13.381088212821090501  ] 
dist 77=[-3.3893780898215178125 ,13.877794190376781409  ] 
dist 78=[-3.7765662907610262594 ,13.961311161084053189  ] 
dist 79=[-4.0514852269660201808 ,13.864691480742593545  ] 
dist 80=[-4.2606899542202574664 ,8.5687744894559224925 ] 
dist 81=[-4.4704263930265900660 ,7.7922138354997429709 ] 
dist 82=[-6.2104307347758903202 ,5.5366095946189743446 ] 
dist 83=[-7.5701903137413789285 ,5.1382051399438159899 ] 
dist 84=[-8.6227682049534747107 ,1.3014496362728764056 ] 
dist 85=[-9.1484999761574680566 ,1.2906772734082363282 ] 
dist 86=[-9.3708782255135937395 ,1.4915365598021856815 ] 
dist 87=[-9.3362535095178491713 ,1.6906249430445670841 ] 
dist 88=[-2.6952569028149876220 ,1.8639233642183115279 ] 
dist 89=[-2.6303698580239203470 ,1.9677143136128202941 ] 
dist 90=[-2.6427984369773607254 ,2.0355658354710093756 ] 
dist 91=[-2.7300338670241481107 ,2.0719934534991818450 ] 
dist 92=[-2.7445246043729462195 ,2.0880536983606148504 ] 
dist 93=[-2.7261002439414028920 ,2.0805847215957934622 ] 
dist 94=[-2.7201217384172890811 ,2.0572987716919878241 ] 
dist 95=[-1.0694428887212789412 ,2.0353662776885839073 ] 
dist 96=[-.92796782368377641416,1.9120274385767900798 ] 
dist 97=[-.6118772470871372775 ,1.9080803747014132132 ] 
dist 98=[-.56307071471377591052,2.0541827500090543854 ] 
dist 99=[-.25774024848151514436,2.2118497737091812508 ] 
dist 100=[-.21035774996876906693,2.3617754022788433166 ] 
dist 101=[-.16244430912427553759,2.4762480367837143242 ] 
dist 102=[-.38424431242866659635,2.5895934799311206657 ] 
dist 103=[-.63922861750649691853,2.7331357540660824618 ] 
dist 104=[-.89820374396707691706,2.8842446565913718487 ] 
dist 105=[-1.0648367783562167955 ,3.0262671684430653802 ] 
dist 106=[-1.2831226602306042102 ,3.1855803599427760354 ] 
dist 107=[-1.5012343871591847282 ,3.4035854036473934663 ] 
dist 108=[-2.5622997750689614595 ,3.6098197162590808244 ] 
dist 109=[-2.8827956715244749277 ,3.7151876466717271334 ] 
dist 110=[-3.4950098956286180584 ,3.7692222157834117361 ] 
dist 111=[-3.5256331243992023462 ,3.7756877247847678016 ] 
dist 112=[-2.6559227731795583683 ,3.7047522490655241728 ] 
dist 113=[-2.5404118504449970951 ,3.6677798660983860662 ] 
dist 114=[-2.5045585414438323206 ,3.6262187667910747827 ] 
dist 115=[-2.6642387659060552038 ,3.5948815970319698838 ] 
dist 116=[-2.8197386920636864297 ,3.5144200405444687638 ] 
dist 117=[-2.9313836463158986028 ,3.9829547411028323391 ] 
dist 118=[-3.0231899615157439230 ,5.4438536735468813030 ] 
dist 119=[-3.1118281850062300787 ,5.4607265603239511076 ] 
dist 120=[-3.1856272944615524880 ,1.6585604807013586431 ] 
dist 121=[-3.2201681587792108847 ,1.5830392342474469426 ] 
dist 122=[-3.2321487098727214462 ,1.3954307681665814520 ] 
dist 123=[-3.2275900788316445223 ,1.3643078617108786506 ] 
dist 124=[-3.0089334169150474515 ,.54060659341495388768] 
dist 125=[-3.0007085045673290573 ,.59218410066215484798] 
dist 126=[-2.9455587748360516899 ,.45780328938172525244] 
dist 127=[-2.9364021620216922834 ,.51787930453329437972] 
dist 128=[-2.7221385730027211227 ,.19517837636055096943] 
dist 129=[-2.6760954991002343315 ,.32774054724015587659] 
dist 130=[-2.6325357010969426366 ,.03964990024611005324] 
dist 131=[-3.1238296526078093356 ,2.5532053119502401560 ] 
dist 132=[-1.8430370073070195049 ,3.9620805459852472005 ] 
dist 133=[-4.9609185523998518173 ,4.8728118537393446080 ] 
dist 134=[-1.5394516505576241172 ,.16915580409194527057] 
dist 135=[-5.4433560372927619322 ,5.7415888272008076303 ] 
dist 136=[-1.2964256385182503774 ,6.6829746665600317459 ] 
dist 137=[-1.2570449905134918528 ,10.031672951019602700  ] 
dist 138=[-1.1980405001872400210 ,.67436956822906893743] 
dist 139=[-19.516089613102431228  ,23.382081466813209314  ] 
dist 140=[-31.233130699312247032  ,31.369236137936829188  ] 
dist 141=[-39.156655382852360666  ,36.566867733044574679  ] 
dist 142=[.17107624064378250791,1.2760955947073768942 ] 
dist 143=[-45.361094786210815562  ,40.282438899546941343  ] 
dist 144=[-45.538138673407392060  ,39.242872088221586244  ] 
dist 145=[-45.626031374842997175  ,35.927862623399531344  ] 
dist 146=[-.36639545746117944622,2.2663427325098866306 ] 
dist 147=[-45.656806946434256739  ,25.959123146108744955  ] 
dist 148=[-.50129906243353342857,54.599680598414043674  ] 
dist 149=[-45.592348785764621483  ,74.528516920445351583  ] 
dist 150=[-.54613733563975784983,3.1314724112352287063 ] 
dist 151=[-45.498410956819803464  ,90.126123974423974350  ] 
dist 152=[-.26648289928346763025,3.3414705225298907604 ] 
dist 153=[-.26205659277695691579,3.9408700506226772966 ] 
dist 154=[-.33104729825355624956,3.4109710216067836157 ] 
dist 155=[-.7177088926479534604 ,3.4075053275552365874 ] 
dist 156=[-1.3217297990162453605 ,-.1107750059280464128 ] 
dist 157=[-1.9645354256361154946 ,-.10009906097053502855] 
dist 158=[-2.0300180765858427163 ,.03780585838012231375] 
dist 159=[-2.9125411794809402792 ,-.11924281450235452061] 
dist 160=[-2.5681422511932144801 ,.29421364807762925028] 
dist 161=[-2.7399321228983930125 ,.33162446222665959462] 
dist 162=[-2.8752302883812563708 ,.47972683395126112788] 
dist 163=[-2.9953403131949969688 ,.48879367984017578215] 
dist 164=[-3.0979683625223116077 ,.6865882290544532992 ] 
dist 165=[-3.1633307394574581040 ,1.8677924124069415756 ] 
dist 166=[-3.2135178681074055049 ,.88394606515777278775] 
dist 167=[-3.2555547707451832507 ,2.2492186804655055136 ] 
dist 168=[-3.2887372071820308587 ,1.1739713416797795709 ] 
dist 169=[-3.3037085094436339407 ,1.6255947797561603827 ] 
dist 170=[-3.3080229360120435198 ,1.4246580918252267463 ] 
dist 171=[-3.2989958209516993972 ,1.6144129008236129019 ] 
dist 172=[-1.5024689282732307812 ,1.5232693034522719974 ] 
dist 173=[-1.6471979274493670942 ,1.4569658978919962844 ] 
dist 174=[-1.5162190733517789942 ,1.5755306288433461686 ] 
dist 175=[-1.7184435525716855614 ,1.4747571987124494099 ] 
dist 176=[-1.3992211344035918008 ,1.4910357872156709665 ] 
dist 177=[-1.5150987598880520601 ,1.4855432842058653961 ] 
dist 178=[-1.3327035799180035458 ,1.4820179322457431104 ] 
dist 179=[-1.4350055396964647743 ,1.4793096501568721492 ] 
dist 180=[-1.2585586715729732744 ,1.4604769912194512707 ] 
dist 181=[-1.1886958150743204739 ,1.5581922845156794248 ] 
dist 182=[-1.1878654216049415196 ,1.4273875773694025805 ] 
dist 183=[-1.1294134109084280926 ,1.5563425387508815096 ] 
dist 184=[-.5465004846321241591 ,1.4590048321984739732 ] 
dist 185=[-.48620696901645190503,1.4986091454150988502 ] 
dist 186=[-.39244340074124184487,1.5204135127502667707 ] 
dist 187=[-.32992866339939916613,1.5253960638077274011 ] 
dist 188=[-.21485864834230011268,1.5117386357529814344 ] 
dist 189=[-.3555552204600238523 ,1.5070608554100767068 ] 
dist 190=[-.55116762055782683466,1.4928048682133529441 ] 
dist 191=[-.74443309192672241861,1.4964505581206874802 ] 
dist 192=[-.93676502794889179292,1.4336092316269047717 ] 
dist 193=[-1.1029714198656033737 ,1.4275990477906812719 ] 
dist 194=[-1.1907945166137552377 ,1.3866376628620922034 ] 
dist 195=[-1.3457539336761690214 ,1.3916516295614902556 ] 
dist 196=[-1.4412315395331271259 ,1.1715959101394602058 ] 
dist 197=[-1.5484686692152130534 ,1.2351006827552850337 ] 
dist 198=[-1.6018563566513995806 ,1.3824153029688314624 ] 
dist 199=[-1.7515708077510201375 ,1.5945917439055216979 ] 
dist 200=[-1.8624737189646910949 ,1.7908936915997522268 ] 
dist 201=[-1.9180891632138310837 ,1.9160803533328208999 ] 
dist 202=[-1.9982321524579755196 ,1.9866572462719334888 ] 
dist 203=[-1.9737379503103744287 ,2.0597768962963584084 ] 
dist 204=[-2.0042642081585846552 ,2.1015996269772192210 ] 
dist 205=[-1.9824526965596135472 ,2.1181374150990672344 ] 
dist 206=[-2.0150492855675037213 ,2.1227280551714804908 ] 
dist 207=[-1.9691714213660294147 ,2.1200703562223695354 ] 
dist 208=[-1.7533184455453758226 ,1.9114103644922165648 ] 
dist 209=[-1.7183906975797734864 ,1.8759388508839931832 ] 
dist 210=[-1.7401858597777431830 ,1.8227745107779133323 ] 
dist 211=[-1.8245693793656878650 ,1.7837189491692196712 ] 
dist 212=[-1.8970269425747506511 ,1.7214055036496862203 ] 
dist 213=[-1.9312143592995663019 ,1.6680355601516251020 ] 
dist 214=[-1.9476762498492481993 ,1.6135813092836003222 ] 
dist 215=[-1.9501744842975998901 ,1.5921616919641717215 ] 
dist 216=[-1.9113703670052367475 ,.26730404684321074799] 
dist 217=[-1.8984886620601907413 ,.36790537953272420069] 
dist 218=[-1.8880434687592890827 ,.49403615918598184074] 
dist 219=[-1.8782572054559163670 ,.68787901556683982043] 
dist 220=[-1.3015650787788202573 ,.88162859020342631253] 
dist 221=[-1.2865951360376719727 ,1.0073914139961555359 ] 
dist 222=[-1.2573789385564411680 ,1.1073666715526718183 ] 
dist 223=[-1.2442209880866129116 ,1.1982084848488960812 ] 
dist 224=[-1.0432246587282283592 ,1.2761628669499378057 ] 
dist 225=[-1.0128513543555615710 ,1.4060062445385402942 ] 
dist 226=[-.9392159515240261435 ,1.5268644454542756908 ] 
dist 227=[-.92154762183973710029,1.6608460816531097834 ] 
dist 228=[-.80445219067079240829,1.7819375769805948051 ] 
dist 229=[-.78133747284249976495,1.8515361048537287018 ] 
dist 230=[-.73809937198565631113,1.8967203651692241339 ] 
dist 231=[-.72681785422606148609,1.9204993613534011586 ] 
dist 232=[-.25038032092235951939,1.9332064457360733460 ] 
dist 233=[-.19819946277007968904,1.9341398540367620859 ] 
dist 234=[-.09738086842258825578,1.9273699224666066218 ] 
dist 235=[-.07291409840890732704,1.9217760827082122342 ] 
dist 236=[-.29859040090188415013,1.4401670353645921978 ] 
dist 237=[-.49624825235934370464,1.3874700511422036109 ] 
dist 238=[-.65771481248201315004,1.2514655898297815273 ] 
dist 239=[-.81187408314606101524,1.2297653915668814552 ] 
dist 240=[-.9494336411023756148 ,.99994572076693939601] 
dist 241=[-1.0446510883521226438 ,.9554381821573979453 ] 
dist 242=[-1.1270371634493642390 ,.90161107848078869752] 
dist 243=[-1.2133792918734978577 ,.88596494540886841384] 
dist 244=[-1.2909304762294776167 ,.34759881896362104235] 
dist 245=[-1.3382112530015069127 ,.28243704326542891137] 
dist 246=[-1.3723532258427950403 ,.11336466263778167491] 
dist 247=[-1.3974556062502039085 ,.07841812937291145620] 
dist 248=[-1.4148080026815267942 ,.02564345617907678147] 
dist 249=[-1.4180260575239739585 ,.01697281638287963176] 
dist 250=[-1.4151937290262259676 ,.00214867875811124039] 

8 phat 5 dirichlet min maxes function [0, 0, 0, 1, 1, 0, 0, 0, 2] 
dist 0=[390.20027137849245529   ,390.20027137849245529   ] 
dist 1=[375.83528277465965200   ,388.30759292325861810   ] 
dist 2=[341.43117877344011407   ,390.20027137849245529   ] 
dist 3=[276.15756747881191857   ,342.93307344943465768   ] 
dist 4=[205.26940499034751626   ,314.27589594334021752   ] 
dist 5=[148.15654565645913296   ,259.40870641280259485   ] 
dist 6=[57.789424849827662916  ,124.71062782320540330   ] 
dist 7=[-4.5869534776084415131 ,110.59219323118969652   ] 
dist 8=[-50.929930164762314204  ,74.341462651113940323  ] 
dist 9=[-81.716954290403044361  ,-4.1402497863103831797 ] 
dist 10=[-100.60853263519894762   ,-26.648530044026860907  ] 
dist 11=[-102.72851666641770872   ,-11.693757277235951324  ] 
dist 12=[-89.801248969617922876  ,6.7733314723058444299 ] 
dist 13=[-86.827201017068694854  ,24.810730482242461856  ] 
dist 14=[-8.4109652680419382593 ,40.733911556680183724  ] 
dist 15=[5.1055779435928067285 ,57.031674315509846660  ] 
dist 16=[17.566987414667762505  ,68.442374474902018090  ] 
dist 17=[35.443880367381964938  ,69.942756761909195323  ] 
dist 18=[39.241216214924321160  ,61.880628563958635648  ] 
dist 19=[27.074360056306631665  ,58.885681090139382747  ] 
dist 20=[.16625325162094436018,44.758389100015110320  ] 
dist 21=[-19.034635908081782702  ,40.826714062987491337  ] 
dist 22=[-31.071182127215697957  ,18.212641454054593106  ] 
dist 23=[-38.664528259017119998  ,12.821447624645994050  ] 
dist 24=[-45.899388410348582460  ,3.5047904281223745846 ] 
dist 25=[-48.428260774191081616  ,.95848614157315595299] 
dist 26=[-34.247269221943737559  ,-2.7641923109470766384 ] 
dist 27=[-30.620535453285174681  ,-.31473653934189136987] 
dist 28=[-14.005349368504583799  ,16.022282982708510268  ] 
dist 29=[-4.9404731624541603936 ,24.986230885053835502  ] 
dist 30=[-.50466292371442318507,33.203534193802096436  ] 
dist 31=[3.4620217926902828081 ,33.789270765472058674  ] 
dist 32=[2.9266277053812407360 ,7.5312091920156606220 ] 
dist 33=[4.9814373230229940593 ,7.3721189609719997565 ] 
dist 34=[4.4228988839441247704 ,6.6275899431042471728 ] 
dist 35=[2.6002180400651651004 ,5.7581538815853507431 ] 
dist 36=[-.20166457733562094582,5.9689494323602907067 ] 
dist 37=[-2.0422451693518843882 ,.81060512510074199055] 
dist 38=[-3.2896877259551276707 ,1.1855581797566572862 ] 
dist 39=[-3.8175809550248921709 ,-.96693394852779425477] 
dist 40=[-4.6483745630972637931 ,-.71480981447116219375] 
dist 41=[-4.0237253406656896071 ,-1.3853328263777642150 ] 
dist 42=[-3.1649876212964796594 ,-1.2184102740697176163 ] 
dist 43=[-3.7996380358682705595 ,-.53139148205034179395] 
dist 44=[-2.3125284115250988921 ,1.1758082177250196427 ] 
dist 45=[-1.5925536785364772959 ,2.2499976973620189669 ] 
dist 46=[-1.0411774205208509159 ,2.9297991313071435112 ] 
dist 47=[-.84206644335242992165,3.1056006977355107387 ] 
dist 48=[-.70878331463526923956,1.0629583888473691696 ] 
dist 49=[-1.3039363912162591731 ,1.0524094845678394818 ] 
dist 50=[-.69053861599899033467,1.0406370655947629650 ] 
dist 51=[-1.7089800233324510576 ,1.4693232544059811786 ] 
dist 52=[-.93250825859337545949,.80921349016474546172] 
dist 53=[-2.5281506526018866730 ,.89302634860656238428] 
dist 54=[-1.5053877101346266582 ,.73198175602861730173] 
dist 55=[-2.9948287841695701392 ,.64228850987243318857] 
dist 56=[-1.7235809470011357841 ,1.0782367893161108115 ] 
dist 57=[-.43576310649441396905,.78629978761531828019] 
dist 58=[-.37938625107102903431,.05939316606015188034] 
dist 59=[-.33793238112335309814,1.0239312411713135523 ] 
dist 60=[-1.8358575516550445802 ,2.8200672484580380833 ] 
dist 61=[.00304135025482647282,1.4134865038038018418 ] 
dist 62=[-1.6859702686014719842 ,3.3598390633600940498 ] 
dist 63=[.07230068374765950801,1.5434723612577753877 ] 
dist 64=[-1.5571851282697520163 ,3.5047656547462009669 ] 
dist 65=[.08302357331059264953,.10219574106212910134] 
dist 66=[-1.5228365519262909877 ,3.4641168998585807872 ] 
dist 67=[.02859979649288879153,1.4384462404719739653 ] 
dist 68=[-1.5536516290969244810 ,3.4147799406609079846 ] 
dist 69=[-.02912681514736541853,1.3242513572476899286 ] 
dist 70=[-1.6091293479191931261 ,3.1983863546388273610 ] 
dist 71=[-.05788440914375237167,1.2456254331263436896 ] 
dist 72=[-1.5489850955637972914 ,3.0960812774874135319 ] 
dist 73=[-.04671967485709445258,1.0310954412871035830 ] 
dist 74=[-.03775249989749957631,-.02090236145164394031] 
dist 75=[-.03376802915108874955,1.0596271769870475383 ] 
dist 76=[-1.4335817558923766289 ,.01449703450461546153] 
dist 77=[-.11602390736802199549,.94725260840087402001] 
dist 78=[-1.3979871741908486077 ,.03596297917655911377] 
dist 79=[-.46067387616924101629,.90866571267496632373] 
dist 80=[-1.9455983833983578384 ,.01221231406231450904] 
dist 81=[.00977905606019009604,.01215684978581951753] 
dist 82=[-2.7243490146021539268 ,.01172370937491938960] 
dist 83=[-1.4546164775042245771 ,.21285882001261657799] 
dist 84=[-3.0318056058222010065 ,.25853808734715948057] 
dist 85=[-1.7300055885396163856 ,.11140541328738022357] 
dist 86=[-3.3008209661756304716 ,.8635823986107539744 ] 
dist 87=[-1.8469705940616707017 ,.11713292698994201163] 
dist 88=[-3.4039657925135474617 ,1.4113176914869457985 ] 
dist 89=[-2.0874867334817415476 ,.2190201034275827885 ] 
dist 90=[-.00464382562373009487,-.00244628986049399692] 
dist 91=[-1.9773752246459476015 ,.31537231391236802952] 
dist 92=[-3.4893460718973617299 ,2.7926564267898733385 ] 
dist 93=[-1.9417814315776618714 ,.50954357722325846829] 
dist 94=[-3.3377070308921797523 ,3.0832900462336026949 ] 
dist 95=[-1.9187889667756873596 ,.70684597986643518068] 
dist 96=[-3.2670506112370940838 ,3.3131533870029402225 ] 
dist 97=[-.00064591941408975707,.00159922679487061195] 
dist 98=[-2.4963649420452313600 ,3.0845706331983035102 ] 
dist 99=[.00039494886529373199,1.2532869478798325902 ] 
dist 100=[-2.2485190195549158479 ,3.0447934451839474902 ] 
dist 101=[-.00047820626941141214,1.3398483220245126875 ] 
dist 102=[-1.9830432985055568956 ,3.0652064456798402413 ] 
dist 103=[-.00088712763173603744,1.6210130452736668524 ] 
dist 104=[-1.7828286474993612899 ,3.1189890155260927961 ] 
dist 105=[-1.5777687002265053594 ,1.9490486960688514592 ] 
dist 106=[-.00255454469996306753,.00108144805582191774] 
dist 107=[-1.5455148894075431345 ,2.1770289039852464769 ] 
dist 108=[-.00110817216327602125,5.9801660047235215165 ] 
dist 109=[-1.4391096549489965564 ,2.2250073484720934617 ] 
dist 110=[-.00193697499088224018,6.0337751800237238370 ] 
dist 111=[-1.3963246413137893039 ,2.2195519574066538816 ] 
dist 112=[-.00187607425107619896,5.9546615048446880454 ] 
dist 113=[-1.0579452684005099232 ,.00023493378078807223] 
dist 114=[-.00209235706321136983,3.2946231634892413629 ] 
dist 115=[-.92600405314750906319,1.3492883765530150622 ] 
dist 116=[-.00205501361610950313,3.0787604486502180460 ] 
dist 117=[-1.2342702948474775654 ,1.0633442485848773487 ] 
dist 118=[-.00227498818862132212,3.3433542107474456530 ] 
dist 119=[-1.4461846253961396148 ,.98665859042947833492] 
dist 120=[-.00023663087242809434,3.2728928718465560888 ] 
dist 121=[-1.7297221046931067061 ,.59375307027310542758] 
dist 122=[-.00040710644323241871,.00183692045792061142] 
dist 123=[-1.8206797292451758746 ,.36085173420759160546] 
dist 124=[-4.4354707843293801270 ,.00152262949349944465] 
dist 125=[-1.8464871524213340775 ,.24416364688439357319] 
dist 126=[-4.6779400578282601469 ,.45798112574416535446] 
dist 127=[-1.8017094801636119447 ,.20553920561283184783] 
dist 128=[-5.1238907302196504190 ,.55759419948568469183] 
dist 129=[1.87183930835823802930e-05,2.37760057149788179560e-05] 
dist 130=[-2.7476564950527561523 ,2.29011581464412165860e-05] 
dist 131=[-1.1128024253913990962 ,1.74346098999841652780e-05] 
dist 132=[-5.0942427772253758820 ,1.7085310181973786235 ] 
dist 133=[-.89128370816711876591,1.37569929696539813130e-06] 
dist 134=[-4.4254583473197486333 ,2.8042640432053389301 ] 
dist 135=[-1.0362444490217543966 ,.10224530809610161858] 
dist 136=[-4.2882321302288614263 ,3.4609680493040348679 ] 
dist 137=[-1.2357755897497718376 ,-5.44008269518642705590e-06] 
dist 138=[-8.32681126164410852490e-06,-4.69674280453403499440e-06] 
dist 139=[-1.1938387035311315730 ,-1.36391487516840607490e-06] 
dist 140=[-3.74348665990678168840e-06,3.4242532892059989171 ] 
dist 141=[-1.4501023803322287718 ,6.32754377123815117210e-06] 
dist 142=[1.77445122238751398540e-06,4.2499820689150639912 ] 
dist 143=[-1.5275703446050208308 ,.29440317122516530957] 
dist 144=[2.51667568307936927270e-06,4.4133004755970664809 ] 
dist 145=[2.15645980007431702790e-06,2.75740348394426985910e-06] 
dist 146=[1.56572648558900390970e-06,4.5271597769840381953 ] 
dist 147=[-.16172341422235015406,1.0291636045322231429 ] 
dist 148=[-3.54798210502651657130e-07,4.5221323260902753682 ] 
dist 149=[-.2132176824271006065 ,1.0916264169047881878 ] 
dist 150=[-1.58272980031352094660e-06,4.7459923164025202069 ] 
dist 151=[-.37551896660529845816,1.0861665277113570693 ] 
dist 152=[-2.16643878696916343020e-06,4.6948326264120825890 ] 
dist 153=[-1.33959792649079810760e-06,1.0103626655734674422 ] 
dist 154=[-1.01659952610289791070e-06,-5.40066408152393804940e-07] 
dist 155=[-.61070847994198101466,1.0321168096534304923 ] 
dist 156=[-1.6508983001198435676 ,.01357807102486626662] 
dist 157=[-.8175888256495069823 ,1.2781698707045738451 ] 
dist 158=[-3.0260105815620532043 ,90.366668592998760831  ] 
dist 159=[-.99646558748980491809,1.2253081316328203883 ] 
dist 160=[-3.2492398501545093266 ,.25267263504400100025] 
dist 161=[2.69640324814073791910e-07,3.64306579722368607210e-07] 
dist 162=[-4.3172953903194830127 ,.48462500656694074903] 
dist 163=[-.32929340628234926817,.84391339949778675022] 
dist 164=[-4.6269267146786784840 ,.25189206190831080685] 
dist 165=[-.34042399698409361044,1.0358065019387446856 ] 
dist 166=[-4.7688109835896426519 ,.09530638457139336124] 
dist 167=[-.604589557223148806  ,1.0720546906924040615 ] 
dist 168=[-4.7831390208697468643 ,.03572678314890172273] 
dist 169=[-1.0635860776359806417 ,1.3821432846345035363 ] 
dist 170=[-1.21699665367946996830e-07,-4.03443550617932808970e-08] 
dist 171=[-1.2087044931925866870 ,1.3220771723604671558 ] 
dist 172=[-2.4807599959625701987 ,4.60661969383896826920e-08] 
dist 173=[-1.1958784643821966880 ,1.3607848218002251159 ] 
dist 174=[-2.6693396704409028899 ,1.15208318168661334950e-07] 
dist 175=[-1.3069136487414638973 ,1.3287724744151069661 ] 
dist 176=[-2.6511186861890780036 ,1.18485088242532920650e-07] 
dist 177=[-5.98697117768839906330e-08,1.16646096989909618530e-07] 
dist 178=[-2.3133159506087689887 ,1.08916952051255845960e-07] 
dist 179=[-1.8196426212190707758 ,2.0011249619859913423 ] 
dist 180=[-2.1963552117336943048 ,7.74819400205672841300e-08] 
dist 181=[-2.0178962468244379315 ,2.0135320032112019964 ] 
dist 182=[-2.3401152125435139195 ,1.79047282992152324660e-07] 
dist 183=[-2.0456828596353533646 ,2.0012254162270135729 ] 
dist 184=[-2.2071288926127918925 ,.30585722030284761535] 
dist 185=[-1.5277768555522993413 ,1.1943221797049699558 ] 
dist 186=[-2.01296021026669332970e-08,2.87233179497747894310e-07] 
dist 187=[-1.6938915495410419572 ,1.5501055771451832846 ] 
dist 188=[-1.2956419154598153414 ,2.8753035072320369099 ] 
dist 189=[-2.0075738672507399086 ,1.4901798781906306654 ] 
dist 190=[-1.6710414446863991593 ,3.0309008846473249509 ] 
dist 191=[-1.8952919908038625799 ,1.3486099979785312336 ] 
dist 192=[-1.7031257465440838349 ,3.2256925420597331300 ] 
dist 193=[-1.08522016272939660110e-06,6.95445490970133303100e-06] 
dist 194=[-.5371017424940502358 ,2.0105378052448274064 ] 
dist 195=[-6.35538536452037448630e-07,.5995328369700615609 ] 
dist 196=[-2.1224269348685985111 ,3.1202190202159441369 ] 
dist 197=[-.51239267860969822488,.98830268920588980627] 
dist 198=[-2.3391775185926561615 ,2.8255118203414879733 ] 
dist 199=[-.509361861195672376  ,.98664483437939300832] 
dist 200=[-2.5674002044625347049 ,2.9933637128125008253 ] 
dist 201=[-.27529593276420826622,1.5021698699652171316 ] 
dist 202=[-1.09806764540047593870e-05,7.40113614780774851750e-06] 
dist 203=[-.43155152867173590975,1.5642533967110116770 ] 
dist 204=[-1.5356609176060125083 ,1.25326421289971164020e-05] 
dist 205=[-.46016502492523420407,1.5279288055029706866 ] 
dist 206=[-1.9305542862023085851 ,2.03377454396342982700e-05] 
dist 207=[-.68446286683472255718,1.5827107911584324159 ] 
dist 208=[-2.0141112841605690973 ,9.65190798200320191040e-05] 
dist 209=[-9.70934118279839317880e-06,9.45858690529252179100e-05] 
dist 210=[-2.8141289546840488949 ,8.16084819405251157200e-05] 
dist 211=[-2.8225356692307290504 ,1.5759439659707991641 ] 
dist 212=[-2.8396929032744726030 ,3.89545416585838667010e-05] 
dist 213=[-3.3072281349627429013 ,1.9873250149690646831 ] 
dist 214=[-3.0242633918711518718 ,2.30405618482838467700e-05] 
dist 215=[-3.3188681838754522035 ,2.0815870259796319139 ] 
dist 216=[-3.1489541776110639877 ,7.52297957225217113450e-05] 
dist 217=[-2.7275636458834452364 ,1.7138626614378327946 ] 
dist 218=[-.00012301364109189863,9.99731997270392027090e-05] 
dist 219=[-3.2881738383403958912 ,2.2362199746290991721 ] 
dist 220=[-2.0663200566539221652 ,1.9325669525546487163 ] 
dist 221=[-3.1888604684630275617 ,2.2374397665508519554 ] 
dist 222=[-2.1170745517758901472 ,2.5243730439639063883 ] 
dist 223=[-3.0376122582382110599 ,2.1878022811891123952 ] 
dist 224=[-2.0765107450497314999 ,2.6426472655830855114 ] 
dist 225=[-.00012301605930510596,9.99663790235852841660e-05] 
dist 226=[-2.1616749204138431703 ,2.9712267548006345747 ] 
dist 227=[-2.7338693686288798277 ,.148744282447190748  ] 
dist 228=[-2.0565795173759196299 ,3.0023672848563562676 ] 
dist 229=[-3.2242281862606024029 ,.44804712185176304133] 
dist 230=[-1.8225359468551286038 ,3.0500180124073772010 ] 
dist 231=[-3.2334191035338475395 ,.50748162061200441674] 
dist 232=[-1.9158187187158931931 ,2.9771050995880857888 ] 
dist 233=[-2.7242259386253582306 ,1.6258638160709911438 ] 
dist 234=[-3.64454995978650582890e-05,.00044273604372977171] 
dist 235=[-3.2249625075049670638 ,1.6218134971613801302 ] 
dist 236=[-.00096939789607971236,.00109241277460192594] 
dist 237=[-3.1449056451175995024 ,1.7535238848117058073 ] 
dist 238=[-.00190235029253068428,.00174208950550744694] 
dist 239=[-2.9943392947148264378 ,1.7842958560286410688 ] 
dist 240=[-.00218482554931450016,.00193879579205986413] 
dist 241=[-2.20939473787019717390e-05,1.3713772068707575361 ] 
dist 242=[-.00218699819947421474,.00174426215575821203] 
dist 243=[-1.7345472796681029353 ,3.4426369662665034049 ] 
dist 244=[-.00219417397556746641,.00126290796225472245] 
dist 245=[-1.4681636892312184494 ,3.2163991502070010057 ] 
dist 246=[-.00220134975166587085,.00362451850083739294] 
dist 247=[-1.4949461047360574276 ,3.1232717546294167188 ] 
dist 248=[-.00204579319710573098,.00438834795115002259] 
dist 249=[-1.4919773700485250336 ,1.8973109068657298714 ] 
dist 250=[-6.06272433838437390700e-09,.00362451852077243842] 
dist 251=[-1.8872420895840645139 ,3.0200064415398997036 ] 
dist 252=[-7.83019888635050949260e-08,.00285851640031605021] 
dist 253=[-1.9401977415251264805 ,3.3360135223044551178 ] 
dist 254=[-.00142099594724964161,7.53457877647899669860e-08] 

8 phat 5 dirichlet min maxes function [0, 0, 1, 1, 1, 1, 2, 0, 2] 
dist 0=[344.38618763706662739   ,344.38618763706662739   ] 
dist 1=[302.91482964459049734   ,356.71486202021454021   ] 
dist 2=[249.76557320257046613   ,362.52356903245304089   ] 
dist 3=[205.62088580387705658   ,364.08640696577736661   ] 
dist 4=[159.08886666610178564   ,355.34308630417557422   ] 
dist 5=[107.16562916086610877   ,268.79595508880345004   ] 
dist 6=[57.373215322556920443  ,248.14068336213719015   ] 
dist 7=[27.829697288568580240  ,175.13323892477368840   ] 
dist 8=[-18.764674962493585572  ,164.41570479532380489   ] 
dist 9=[-40.720304483034545888  ,12.051035040161684037  ] 
dist 10=[-51.441514088695462978  ,6.9910744666709136381 ] 
dist 11=[-69.222168504660695920  ,5.5623532601683109084 ] 
dist 12=[-79.353528238255772020  ,3.4499081090985589864 ] 
dist 13=[-79.969070756977270745  ,2.6264517689922179141 ] 
dist 14=[-78.828513680063859653  ,6.7324192020983091380 ] 
dist 15=[-62.498394562669931789  ,18.001834527547746777  ] 
dist 16=[-56.479575928841045377  ,26.215944701601554941  ] 
dist 17=[-11.451671073406337127  ,28.141658267509665105  ] 
dist 18=[-3.2869112671983536142 ,39.944787492939527564  ] 
dist 19=[3.8955457490335004235 ,52.964667467985268070  ] 
dist 20=[3.1219336532085867441 ,56.341853212051689930  ] 
dist 21=[-4.6516419384149979472 ,17.410397732984549174  ] 
dist 22=[-10.485459733419119609  ,17.008549242505603607  ] 
dist 23=[-14.006366444887131643  ,13.297617065975099888  ] 
dist 24=[-15.863921293484497593  ,14.107741258905306216  ] 
dist 25=[-15.870613589037513626  ,6.0016882438452747807 ] 
dist 26=[-14.104636799999500466  ,4.9110843187079850521 ] 
dist 27=[-12.702223584701445076  ,2.5720552295752547772 ] 
dist 28=[-9.9928611943148235428 ,5.2875953394570117350 ] 
dist 29=[-9.0427425981510789010 ,9.1224572330834736321 ] 
dist 30=[-8.8152918377256636985 ,12.395553749025263572  ] 
dist 31=[-6.7461493543250527964 ,12.610990750432890386  ] 
dist 32=[-6.6072771952073500315 ,3.4917192515873929163 ] 
dist 33=[-.71174882671082927027,3.5389698893168536180 ] 
dist 34=[-1.3776250353029796337 ,5.7614881288294671386 ] 
dist 35=[.39397998187370979014,5.0198188241530860915 ] 
dist 36=[-1.3934449283316894569 ,8.3954092666034011816 ] 
dist 37=[-.83492852523629979   ,2.0624224192584310078 ] 
dist 38=[-2.8093812168273208250 ,2.0076307295600549462 ] 
dist 39=[-1.7696045749398975110 ,1.5334253174060849501 ] 
dist 40=[-3.4204919655587330484 ,1.4623171060277483011 ] 
dist 41=[-1.8437267885395615775 ,.33495870929709160417] 
dist 42=[-3.1286921899065424832 ,.01979037455048963856] 
dist 43=[-1.4051011020041132558 ,-.04050802765637953766] 
dist 44=[-2.9115468410537403544 ,.50868770365003252724] 
dist 45=[-1.0257509762709719438 ,1.0368176837236713492 ] 
dist 46=[-3.6385346968132999598 ,1.3694239094924569464 ] 
dist 47=[-.78945788575240707718,1.4558558993998146046 ] 
dist 48=[-3.6358419092206327809 ,.82137389148709404135] 
dist 49=[-.11517631372654435034,.43966639474350188345] 
dist 50=[-3.1972972094887571564 ,1.0440006785466611690 ] 
dist 51=[.00831618875833250691,.75000221940608734356] 
dist 52=[-3.0457251975313031162 ,1.6180293133663470640 ] 
dist 53=[-.1677551242884444963 ,.23922869112335470873] 
dist 54=[-.54315170696761848348,1.0619521996040276198 ] 
dist 55=[-.27487655609864983134,.1758493684756232109 ] 
dist 56=[-3.2310110766960465847 ,2.8510540317034585757 ] 
dist 57=[-.26922526802018305311,.05346153061803247411] 
dist 58=[-3.2802960056056495108 ,2.9377422870944276796 ] 
dist 59=[-.19588399587136681333,.04325984758360983944] 
dist 60=[-3.2818342693722928104 ,3.0910517327993509682 ] 
dist 61=[-.13103880377216029648,.13579923365973806768] 
dist 62=[-2.5337902927175911153 ,2.8782493117945845164 ] 
dist 63=[-.09599191775831381447,.18400886727676825863] 
dist 64=[-2.2474263276968587483 ,2.8849121254044068179 ] 
dist 65=[-.00731086681823013895,1.3299982317402968103 ] 
dist 66=[-1.8915905284756077484 ,2.9755167068003507739 ] 
dist 67=[.00471728880085465984,1.2935784968266738397 ] 
dist 68=[-1.6643273086208317861 ,3.0542223363508883497 ] 
dist 69=[-1.4935266243620704593 ,1.2487458846318035951 ] 
dist 70=[.00570579944494418890,.02904748422300735644] 
dist 71=[-1.4708214363335370399 ,1.0499165377465939632 ] 
dist 72=[.00292998580896322699,5.8158331765788668084 ] 
dist 73=[-1.4072346327351361645 ,1.0076566414557712779 ] 
dist 74=[-.00970698088824551852,5.8425787168678066341 ] 
dist 75=[-1.3759675660012149789 ,.85657004149359666566] 
dist 76=[-.01539830357673689643,5.7580213969348805262 ] 
dist 77=[-1.0818215796093910808 ,.80867750497074321579] 
dist 78=[-.01448791391814172658,3.1774425611507271278 ] 
dist 79=[-.95500999340460895273,-.00098147568005021404] 
dist 80=[-.01027758992980458457,2.9722742754539081328 ] 
dist 81=[-1.4189241683068025608 ,.20374046428233228486] 
dist 82=[9.70941015710049954320e-06,3.2495333379556959113 ] 
dist 83=[-1.6969195709164675132 ,.11781114077157235159] 
dist 84=[.00036883848644500543,3.1835670806472939028 ] 
dist 85=[-1.8210510836863158612 ,.84923203118416312472] 
dist 86=[.00032931867635414903,.00336035557905056083] 
dist 87=[-2.0158477481302490507 ,1.2456545814393181181 ] 
dist 88=[-4.2923137977830091513 ,.00239049169683063519] 
dist 89=[-1.9747595107943020729 ,1.5813699279889459413 ] 
dist 90=[-4.5307963448988396899 ,.44572054438991595974] 
dist 91=[-1.9374026486802677359 ,1.7993777258489870541 ] 
dist 92=[-4.9635127485772509213 ,.54173691191370929588] 
dist 93=[-1.9125843433195108252 ,2.0152700662832664577 ] 
dist 94=[-2.6691773662293995447 ,.00031340053525325475] 
dist 95=[-.00144818058787713625,2.0908785108171159565 ] 
dist 96=[-4.9342857969712143213 ,1.6573131039594776087 ] 
dist 97=[-.1244872657216303011 ,2.0536098568284911469 ] 
dist 98=[-4.2867309563256188140 ,2.7192338393826279534 ] 
dist 99=[-.39425093933761945046,2.0381539329568515710 ] 
dist 100=[-4.1513938974728519749 ,3.3563333748980155049 ] 
dist 101=[-.86784706199848252812,1.3229145559572390904 ] 
dist 102=[2.71542729074292017430e-05,.00042243568213061162] 
dist 103=[-1.1561729341701466742 ,1.3979428840968803190 ] 
dist 104=[-2.42243517812707075310e-06,3.3169854793743375304 ] 
dist 105=[-1.3931779781018453949 ,1.2758790134882023226 ] 
dist 106=[-.00014857671000010056,4.1154584669107485803 ] 
dist 107=[-1.5339347616613084539 ,1.2122831405644807104 ] 
dist 108=[-.00022985289829331609,4.2730827295453245143 ] 
dist 109=[-1.6480289802241184393 ,1.1888606196471118284 ] 
dist 110=[-.00021357740819818714,4.3860666594454714344 ] 
dist 111=[-1.6876139517389388676 ,5.26853663655142924400e-05] 
dist 112=[-.00015178329370060145,4.3827694998460030089 ] 
dist 113=[-1.6606920574298032932 ,.75454355312322294743] 
dist 114=[-1.53639546479102692210e-05,4.6008525446467355654 ] 
dist 115=[-1.6112289516534653179 ,.60117016479973424465] 
dist 116=[-1.62386994844510766590e-05,4.5512343707546189909 ] 
dist 117=[-.85226580522632441699,.54476629169057315955] 
dist 118=[-3.33577201004386565890e-05,5.84254098463313799810e-05] 
dist 119=[-.58378053859576342892,.2556254438484396207 ] 
dist 120=[-1.6002600917762192117 ,.01098298210803898555] 
dist 121=[-.35918122756394044554,.1624235415277159127 ] 
dist 122=[-2.9322736649373835225 ,.20431590493865002447] 
dist 123=[-.24790794186097248013,.07709718304360852495] 
dist 124=[-3.1490877334141965046 ,.24265796065556801379] 
dist 125=[-.07759759080553064489,.05258910319620352082] 
dist 126=[-4.1803520338042845143 ,.47239689840729712689] 
dist 127=[-2.05824048763378636210e-05,4.33865838173534708270e-06] 
dist 128=[-4.4808799083476707565 ,.24647234452043916126] 
dist 129=[-1.0292120245124262396 ,6.07520135910652039730e-06] 
dist 130=[-4.6210289893628003511 ,.09186028499474791420] 
dist 131=[-.84182232029269882633,1.57360218910323546300e-05] 
dist 132=[-4.6309745352309030129 ,.03493892707926621058] 
dist 133=[-.97366055128726135024,.1170193159378712371 ] 
dist 134=[-2.27370178769763958500e-06,6.23524107450062669830e-06] 
dist 135=[-1.1973117617111566106 ,4.64574640276328937650e-06] 
dist 136=[-2.4000776428088002910 ,4.40171923343322801660e-06] 
dist 137=[-1.1882622516050790749 ,-2.92886472803463369150e-07] 
dist 138=[-2.5828112272315944137 ,6.91316922306926885040e-07] 
dist 139=[-1.4024991849450363597 ,1.30617328834383417480e-06] 
dist 140=[-2.5643278553609030091 ,1.69158367221293470350e-06] 
dist 141=[-1.4483720317171464022 ,.17739609605919888481] 
dist 142=[-2.2413315264125482668 ,5.27921527913936295790e-07] 
dist 143=[-2.50930472113092504500e-06,5.10591373401836165600e-07] 
dist 144=[-2.1289872312430519163 ,3.87744689861142583230e-07] 
dist 145=[-.08216056625258366393,1.0558375700230025192 ] 
dist 146=[-2.2255779152629526123 ,1.95334448115912030700e-06] 
dist 147=[-.1568296008756858905 ,1.1257011142776015525 ] 
dist 148=[-2.1274000111923925374 ,.29631414861087718368] 
dist 149=[-.28405357223192052269,1.1305221386233501884 ] 
dist 150=[-2.88306195717549895880e-07,7.22910609675567290060e-07] 
dist 151=[-2.77635318165675263150e-07,.9789224201318614279 ] 
dist 152=[-1.2522874479836809391 ,2.7887221171910382600 ] 
dist 153=[-.57955486342390132409,1.0136958751674997752 ] 
dist 154=[-1.6167014838000729969 ,2.9393017282340560832 ] 
dist 155=[-.78735783022037950255,1.1912278394827997288 ] 
dist 156=[-6521.5548862508380513    ,3.1284686004461050999 ] 
dist 157=[-.96619244783163667692,1.1445072880022860891 ] 
dist 158=[-.52038818677551422288,1.9985651431178120321 ] 
dist 159=[-3.01187270510887698120e-07,6.62519667089572070710e-08] 
dist 160=[-2.0540589418915171128 ,3.0258198011641519306 ] 
dist 161=[-.37549987495348405202,.81023046338985577224] 
dist 162=[-2.2646450244255809567 ,2.7378680004548238535 ] 
dist 163=[-.33546345387141011139,1.0197300047478364069 ] 
dist 164=[-2.4852604892570127043 ,2.8614633049042444962 ] 
dist 165=[-.57124067509115802339,1.0493246206350017013 ] 
dist 166=[-3.52955551628425337600e-08,9.35403450281053040390e-08] 
dist 167=[-1.0304884556612013536 ,1.3391327803088841900 ] 
dist 168=[-1.4890574891242891896 ,6.50619030725968744730e-08] 
dist 169=[-1.1191772473849778802 ,1.3036040589874709380 ] 
dist 170=[-1.8715191127231101788 ,4.92633931005813331370e-08] 
dist 171=[-1.1336749896701897873 ,1.4007172715344750893 ] 
dist 172=[-1.9530136554075474291 ,4.52968923195511351280e-08] 
dist 173=[-1.2065452550714492075 ,1.3691917875895662644 ] 
dist 174=[-2.7265567235013061658 ,5.68609817762500646300e-08] 
dist 175=[-3.77451665681423523720e-08,1.05292263659567126750e-08] 
dist 176=[-2.7500936980034643508 ,9.55136352930683667190e-08] 
dist 177=[-1.7671580866406010082 ,1.8950369410148703695 ] 
dist 178=[-2.9282807743976856624 ,1.34211204473036668840e-07] 
dist 179=[-1.9126648790043251347 ,1.9109291748567200978 ] 
dist 180=[-3.0489123548656421964 ,1.45931579905619599530e-07] 
dist 181=[-1.9339148255569441036 ,1.8890871927182061855 ] 
dist 182=[-2.81867557414204294950e-07,1.37501499697950580140e-08] 
dist 183=[-1.4462222253384411882 ,1.1457694629370685986 ] 
dist 184=[-1.9098904088572568342 ,1.8715277294034752097 ] 
dist 185=[-1.5790527203260438934 ,1.5349817341160075280 ] 
dist 186=[-1.9820271891907609486 ,2.4453602022998343419 ] 
dist 187=[-1.8346226014662426205 ,1.4432782336049162048 ] 
dist 188=[-1.9582322894232841526 ,2.5594133994562106644 ] 
dist 189=[-1.7313706216593861906 ,1.3081898678839962581 ] 
dist 190=[-1.9952027990097394357 ,2.8787657921231930109 ] 
dist 191=[-6.50232869544633739470e-08,9.16425894865001793180e-10] 
dist 192=[-1.8999449623541252065 ,2.9071215615508431180 ] 
dist 193=[-4.03417702534078341250e-07,.5849695577702485005 ] 
dist 194=[-1.7433247120322769739 ,2.9544370108297883716 ] 
dist 195=[-.49397569990339866813,.95949091331332838069] 
dist 196=[-1.8006315804998548106 ,2.8836795089833940473 ] 
dist 197=[-.49116188648274253628,1.5708026797125733308 ] 
dist 198=[-4.20128569188762563840e-06,3.45556481484192506240e-07] 
dist 199=[-.26672905690134306401,1.5666975940797609578 ] 
dist 200=[-1.03657291488855509870e-05,9.19831258300478978360e-06] 
dist 201=[-.41774763103256330117,1.6940561204173239951 ] 
dist 202=[-1.65301742344661763360e-05,1.80510670547666870610e-05] 
dist 203=[-.45357451740561350316,1.7235097319744433359 ] 
dist 204=[-1.83966193711104695670e-05,2.07314640873324819730e-05] 
dist 205=[-.6684700610270566597 ,1.5260509397329652247 ] 
dist 206=[-1.65504167275128365940e-05,2.07517025202799412330e-05] 
dist 207=[-1.42089545155107559710e-05,1.4006824674077115666 ] 
dist 208=[-1.19833351195552481920e-05,2.08185496527384842790e-05] 
dist 209=[-2.7297360113632481461 ,1.5552370428103163351 ] 
dist 210=[-3.43896208237270862410e-05,2.08853971909784773230e-05] 
dist 211=[-3.1984382848658810452 ,1.9313428007257465986 ] 
dist 212=[-4.16371007428853146530e-05,2.09056370331482665840e-05] 
dist 213=[-3.2086979532878562013 ,2.0237294208274551865 ] 
dist 214=[-3.43895966185861763930e-05,1.08406181629316991590e-06] 
dist 215=[-2.6422149078455034681 ,1.6605293276105089347 ] 
dist 216=[-2.71218998479539246640e-05,1.16721976220865739530e-06] 
dist 217=[-3.1843924813351878200 ,2.1693767138814557989 ] 
dist 218=[-1.41049160806247574440e-06,1.36377393641843600940e-05] 
dist 219=[-3.0898115639603226191 ,2.1686479015424697184 ] 
dist 220=[-2.24955701301475493040e-06,2.09054359132444518230e-05] 
dist 221=[-2.9438572890033143453 ,2.1199839051507808012 ] 
dist 222=[-3.79766893201430909270e-07,1.81844222597987635660e-05] 
dist 223=[-1.4494137592490331143 ,.24366412516805913898] 
dist 224=[-9.88142040795200757580e-08,1.36175462032209305290e-05] 
dist 225=[-2.6523221266218541992 ,.4443895895061515759 ] 
dist 226=[-1.38483669780366445150e-05,4.43414861860738330660e-07] 
dist 227=[-3.1251077320888551552 ,.43340981763261869122] 
dist 228=[-1.83950500675061479880e-05,1.97628289338900151520e-07] 
dist 229=[-3.1329352848955902507 ,.48915276454070411866] 
dist 230=[-1.92934162138950113980e-06,8.68411865323379592280e-08] 
dist 231=[-2.6394520342738419491 ,1.2416996348367245902 ] 
dist 232=[-1.52204224023633396620e-06,1.22247426405935998790e-08] 
dist 233=[-3.1198899832949145510 ,1.1972219135985547723 ] 
dist 234=[-1.22915681951917587770e-07,7.61121708481384947100e-07] 
dist 235=[-3.0404646569680004615 ,1.3061128793659735215 ] 
dist 236=[-2.24254958732148719180e-08,1.16842106793954212060e-06] 
dist 237=[-2.8948644783083784076 ,1.3345933887692641088 ] 
dist 238=[-1.67763378258891445790e-07,1.00931884866235353900e-06] 
dist 239=[-1.4218420879535495799 ,.15789576260264392797] 
dist 240=[-1.92041654868538172710e-09,7.61095242073895381050e-07] 
dist 241=[-1.6824536314839779553 ,3.3327918387493069677 ] 
dist 242=[-7.19482735299884978660e-07,6.95998121451619021480e-08] 
dist 243=[-1.6136652007675211039 ,3.1180372819338442142 ] 
dist 244=[-9.67679894697363570620e-07,3.91020268034316527030e-09] 
dist 245=[-1.1769323825764257302 ,3.0277922493373978045 ] 
dist 246=[-1.66493701229593562430e-07,9.94061765892275713080e-08] 
dist 247=[-.28576651352420354559,1.8389790906096461149 ] 
dist 248=[-1.30760338976969544970e-07,1.98053801235892650480e-09] 
dist 249=[-.46247143342857316462,2.9204459084278967815 ] 
dist 250=[-1.32004004856980432430e-08,6.12155100745057904170e-08] 
dist 251=[-.63478790474503490554,3.2278661196789477574 ] 
dist 252=[-3.20888756502425928770e-09,9.39770478402617474090e-08] 

8 phat 5 dirichlet min maxes function [2, 1, 2, 1, 0, 1, 1, 2] 
dist 0=[374.21747980052171828   ,374.21747980052171828   ] 
dist 1=[352.57101550913822769   ,378.49199847572967578   ] 
dist 2=[302.62492604221674487   ,374.21747980052171828   ] 
dist 3=[245.86364295672869861   ,345.39352873731283242   ] 
dist 4=[196.56372878908246146   ,292.80497748814892214   ] 
dist 5=[147.80771857787059503   ,225.80473832054749728   ] 
dist 6=[91.149374200001778404  ,213.05572208839372083   ] 
dist 7=[30.914738079489909100  ,123.52141089334880118   ] 
dist 8=[-23.615076254641506112  ,79.418575745311818044  ] 
dist 9=[-61.637457600262363125  ,2.0856447273099336020 ] 
dist 10=[-83.369332753688106450  ,2.5970100551271991285 ] 
dist 11=[-93.025000415849593732  ,8.6666737446073549830 ] 
dist 12=[-93.618846488885214896  ,17.142928343776703843  ] 
dist 13=[-77.981129929661055593  ,27.265016074188168922  ] 
dist 14=[-75.256235759112137573  ,39.829493525473800702  ] 
dist 15=[-4.6448005253488362082 ,49.705065569944964545  ] 
dist 16=[6.8738672723660416933 ,51.377093426961165886  ] 
dist 17=[30.892040290248220787  ,46.102622850262663004  ] 
dist 18=[20.136245837724117805  ,44.311373719460260014  ] 
dist 19=[-.48877689529652885211,47.324884930550422142  ] 
dist 20=[-14.601688518826042317  ,46.283897757463277966  ] 
dist 21=[-24.666275603917269839  ,38.732945506537587163  ] 
dist 22=[-29.826165552319994608  ,34.140792852249015169  ] 
dist 23=[-31.944778155044108218  ,10.526377957927631390  ] 
dist 24=[-33.939185538884123397  ,5.7221718012077059050 ] 
dist 25=[-34.640860963522693567  ,-2.1654326531258375178 ] 
dist 26=[-35.971175567411091221  ,-1.3811872957771675797 ] 
dist 27=[-13.030499112856927446  ,11.258018448620778852  ] 
dist 28=[-9.9795171004679273792 ,19.939061173406547180  ] 
dist 29=[-7.9118339176352536532 ,25.540982446719796602  ] 
dist 30=[-7.8270955953770643023 ,26.518240275951615297  ] 
dist 31=[-.60465818960823159417,5.2665304190023764552 ] 
dist 32=[-.01072126598047020090,5.2503350152386670090 ] 
dist 33=[1.2533110656974498136 ,5.0626421441015399031 ] 
dist 34=[1.5748177051584772786 ,5.7372542776838848040 ] 
dist 35=[-.41056378973771625733,5.4086532500853845369 ] 
dist 36=[-1.4115000663151212323 ,5.2252413982510339502 ] 
dist 37=[-2.4306503462370475068 ,4.1000978610065545170 ] 
dist 38=[-2.6695014387986565155 ,4.0602671508036244660 ] 
dist 39=[-3.5515395655626258268 ,.4043160323979298348 ] 
dist 40=[-3.7833865382686693920 ,-.15784896841633088333] 
dist 41=[-3.1709433303525786945 ,-.78121977072817401706] 
dist 42=[-3.4253404225448533656 ,-.43931536045245344655] 
dist 43=[-1.5874463314164439861 ,.77374729705588841084] 
dist 44=[-1.3838928656259149542 ,1.5357354455247373475 ] 
dist 45=[-1.3182846213048710360 ,2.0154114221325115076 ] 
dist 46=[-1.0399240778522940060 ,2.1400269109482661610 ] 
dist 47=[-.4159875985601730154 ,1.0748642788872540157 ] 
dist 48=[-.09535925365346231249,1.2227557530300686402 ] 
dist 49=[.19441119455298701675,1.2332377690042093696 ] 
dist 50=[.1378733332881672576 ,1.1366489765645825960 ] 
dist 51=[-.25477031496005406416,.5755646004468591282 ] 
dist 52=[-.22188250654308936831,.60916977498608748212] 
dist 53=[-.47828526250767414593,1.0077719579018301446 ] 
dist 54=[-.3651919440170764105 ,.47279410699550605218] 
dist 55=[-.64415681548031696737,.78459600997965283003] 
dist 56=[-.43952629439607152132,-.00067632549185697988] 
dist 57=[-.64285166596607369439,.61800613566089337133] 
dist 58=[-.52904953178529738565,-.05282545945013824005] 
dist 59=[-.31399688602419090314,.31058223266393411351] 
dist 60=[-.13849100011085520886,.15488339508099076931] 
dist 61=[-.91581054410717737564,.44161598240428506616] 
dist 62=[-.11128186627128743561,.21982647523886428274] 
dist 63=[-.65510715571698269945,.47385688344332705365] 
dist 64=[.02010646200680301748,.23176445474326884816] 
dist 65=[-.75840864991692329341,.44999999120410185017] 
dist 66=[.02540145661656099881,.20259092444410018387] 
dist 67=[-.3421061423151168434 ,.44446791921545077016] 
dist 68=[-.23712229615330597171,.13252912673114232872] 
dist 69=[-.5020922595506990275 ,.30436943827309650159] 
dist 70=[-.35179583425040338015,.10673032654357679711] 
dist 71=[-.54952873177981885554,.49752231638480668335] 
dist 72=[-.07435355800377413809,.05997740737716148763] 
dist 73=[-.18483416856982792659,.42513703077445488189] 
dist 74=[-.08013909477240645152,.12661437139626634235] 
dist 75=[-.14751022567243664997,.44493363912104419141] 
dist 76=[-.10660111280113382883,.1373200686114395819 ] 
dist 77=[-.13658598361932555793,.57477937115503037491] 
dist 78=[-.11549184930255924409,.18679715295073988707] 
dist 79=[-.1204272633740552183 ,.62849837253163178644] 
dist 80=[.00356461223270089821,.02151482979391937036] 
dist 81=[-.3794502858559900313 ,.44804538405916461813] 
dist 82=[.00226633533205031731,.01866139126230805813] 
dist 83=[-.46254963964374965399,.47923491443397133042] 
dist 84=[-.02166976040873212034,.01189191098958563492] 
dist 85=[-.56283709374747744656,.33286018051220533059] 
dist 86=[-.03220766719928853395,.00941451619685977919] 
dist 87=[-.52492242294886622113,.40955081246341346886] 
dist 88=[-.00753521538523688699,.00892896206458655984] 
dist 89=[-.49888444007152607312,.28448231034966765617] 
dist 90=[-.00795883516238697687,.01118352864508740856] 
dist 91=[-.19834763156444613994,.27012849795000528332] 
dist 92=[-.01750505155624501064,.01310873964416751036] 
dist 93=[-.31886406664566141603,.32439399532318720862] 
dist 94=[-.02383829962393410170,.01536397140773918976] 
dist 95=[-.41082776851206880027,.31073037186007009808] 
dist 96=[.00034866687893074213,.00153266488688219881] 
dist 97=[-.35706026951998853387,.83577848916670122972] 
dist 98=[.00028922627723296496,.00145605009232160778] 
dist 99=[-.47097183606768999471,.55994394147841593681] 
dist 100=[-.00052435682851012453,127.52124379107605863   ] 
dist 101=[-.36242850956571288689,.5574019221428154988 ] 
dist 102=[-.00091974133369656011,.00089572003386090985] 
dist 103=[-.40425718142655633535,.50597947617433786597] 
dist 104=[-.00123613686800141608,-4.85219504540502479360e-05] 
dist 105=[-.44429171481427373954,.46766194669559484175] 
dist 106=[-.00077218198642095018,8.48434545344293921600e-05] 
dist 107=[-.31766555595519187084,.14382565458856714412] 
dist 108=[-.00026069057839272132,.00056787588615197137] 
dist 109=[-.29825024156533720659,.34612103808794062024] 
dist 110=[-.00020716901422807328,.00071796101445622594] 
dist 111=[-.66619469540321821322,.35897623945378608903] 
dist 112=[4.85138506131594719840e-05,.00023105221327674563] 
dist 113=[-.57139727646861432085,.36690812949854784548] 
dist 114=[-4.19872380325963872420e-05,.00021679353273935428] 
dist 115=[-.56754167902175454549,.44642223615095570942] 
dist 116=[-.00013410897013729094,.00015365935314106437] 
dist 117=[-.53583814801285983211,.4568176033004035215 ] 
dist 118=[-.00016332076980802763,.00010316661412547454] 
dist 119=[-.56033542874310737151,.48910260008001898296] 
dist 120=[-.00015348640036390519,-1.60105443658705349260e-06] 
dist 121=[-2.3478414649071703463 ,.56052403528626915786] 
dist 122=[-2.4006823699360068624 ,-3.39983546817165045620e-05] 
dist 123=[-1.9931028044823235196 ,.12879769372739477884] 
dist 124=[-1.9472996653016609851 ,-1.20355235047351725260e-05] 
dist 125=[-.33818878982801501514,3.0965612203362457048 ] 
dist 126=[-2.40033025212359055950e-05,2.6457327315767602454 ] 
dist 127=[-.82715409690160173753,2.1384036648929805474 ] 
dist 128=[-.37378572825291905507,1.8857353451536340629 ] 
dist 129=[-5.7653206402829432941 ,.41078024098022119396] 
dist 130=[-5.3140776264081401198 ,1.99234621220671523220e-05] 
dist 131=[-4.3064497549473731403 ,.50340478317147615478] 
dist 132=[-3.2589689560135071649 ,.19666472831242817121] 
dist 133=[-1.6620692412124818935 ,2.7976860446314469009 ] 
dist 134=[-1.4797767116612881180 ,2.6683752779346183053 ] 
dist 135=[-2.9283134479990490841 ,2.6689549273913040130 ] 
dist 136=[-2.4771206384807734662 ,2.8682934658803620617 ] 
dist 137=[-.38142180733359735641,.46087566719362526068] 
dist 138=[-.39763309960343571976,.03398916487524971010] 
dist 139=[-.92103167071385089063,.8740488876152832066 ] 
dist 140=[-.67138362672279146883,.50338363439153143415] 
dist 141=[-2.4771023505447686931 ,1.9362270667196647077 ] 
dist 142=[-2.3477933142696267526 ,1.8003437741853265661 ] 
dist 143=[-1.9537006622475435208 ,3.2515819649065752190 ] 
dist 144=[-1.8243920778520952040 ,2.7976835257724915958 ] 
dist 145=[-.37381122168828366361,2.8509193683858009840 ] 
dist 146=[-.32057532229314700499,2.6457283328068531895 ] 
dist 147=[-.9030592036070099495 ,2.8567656927364005110 ] 
dist 148=[-.82717674215548937112,2.6515746519474268355 ] 
dist 149=[-3.7881845043289654663 ,2.8683005325795484191 ] 
dist 150=[-3.9366804729175624441 ,2.6644536597757445373 ] 
dist 151=[-5.9076405583152546448 ,2.8741468286467880088 ] 
dist 152=[-5.5192914194860269985 ,2.7216074668151367971 ] 
dist 153=[-.3403492180563771894 ,.47433418549499394354] 
dist 154=[-1.76284351433388153260e-06,.02691414831461080078] 
dist 155=[-.29986099623446694277,.30192003802857593873] 
dist 156=[-4.65497106832860405030e-07,.02501399855616932974] 
dist 157=[-.36815547298114975722,.14424975189910706162] 
dist 158=[-.03712708589529637837,.02519006632150963251] 
dist 159=[-.41054349909734143237,.26672752314977944048] 
dist 160=[-.05210983665853193602,.02513544604943553538] 
dist 161=[-.40884830663122223626,.25168317463866989062] 
dist 162=[-.00561934873995997802,3.20202022640674040120e-07] 
dist 163=[-.2870432705323729003 ,.37315693539318638205] 
dist 164=[-.00895208895665343739,.00324451530429272191] 
dist 165=[-.51994077105277849094,.45690602850013150815] 
dist 166=[-.02012692048395431933,.01995461871866154730] 
dist 167=[-.51366017378310582911,.45872100204375083147] 
dist 168=[-.00881516971538973574,.02614016242057258927] 
dist 169=[-.51266238578478874672,.25619917166267715467] 
dist 170=[-.03011778021597176759,.00227408796549717334] 
dist 171=[-.4753153799565110111 ,.00459782202210726989] 
dist 172=[-.04253269672723912112,.02198353369908580423] 
dist 173=[-.55656756231569398391,.07866814048619115507] 
dist 174=[-.12337046654643726783,.10185668834490884784] 
dist 175=[-.57404440982139254845,.19633748055307746497] 
dist 176=[-.09813174646429772473,.15600815928912739432] 
dist 177=[-.40079421434053968179,.16046401203746427452] 
dist 178=[-.02557374389455476559,.14894430312370681365] 
dist 179=[-.30609158032693920416,.22918277904870548214] 
dist 180=[-.05082354314773954139,.1489553758016605407 ] 
dist 181=[-.23340562882265489498,.33204952652789968968] 
dist 182=[-.22060123332345487886,.14897976785387136608] 
dist 183=[-.29793149192755373524,.38619503481668999386] 
dist 184=[-.30945120091186939895,.15344303550702536366] 
dist 185=[-.1413494492460169635 ,.17161415828916930412] 
dist 186=[-4.64307774529674165290e-07,.00029677804502313010] 
dist 187=[-.09870232743013511207,.17650991544560912942] 
dist 188=[-1.56534285546223163240e-06,.00027547709036344662] 
dist 189=[-.09866173039514103372,.15857634465658235349] 
dist 190=[-.00040794942825696085,.00027548501534795255] 
dist 191=[-.10119444213858523915,.20098670568863020236] 
dist 192=[-.00057226501210354959,.00027548741250845862] 
dist 193=[-.10422100839756100934,.2228340531556857203 ] 
dist 194=[-6.58580485366264139560e-05,2.25081993951639578370e-06] 
dist 195=[-.11465121283296255692,.29230381433672075085] 
dist 196=[-9.88280336806810946340e-05,3.27824561584975515130e-05] 
dist 197=[-.1120683982529600094 ,.31546049050997664463] 
dist 198=[-.00021819940118206501,.00021789777132961352] 
dist 199=[-.11392068327434345806,.32403789782120874383] 
dist 200=[-9.48865730681053501480e-05,.00028820638517758477] 
dist 201=[-.17461179422335611347,.32239999633132008487] 
dist 202=[-1.29682951162082169320e-05,2.81377593553940250690e-05] 
dist 203=[-.19364308261056574158,.1470270904489764389 ] 
dist 204=[-1.31666999646773876990e-05,2.69086184820304032720e-05] 
dist 205=[-.23664238024152734741,.16208651549796871275] 
dist 206=[-4.19559923181459122360e-05,3.12910892796929361920e-05] 
dist 207=[-.25083324636184130567,.17063381385397234173] 
dist 208=[-5.95661330348220277420e-05,3.25965291488175233740e-05] 
dist 209=[-.28742284924529791639,.1852486722118509653 ] 
dist 210=[-1.18520649296751794700e-05,2.59960915338769123320e-05] 
dist 211=[-.29575157342260482991,.16704084657104129132] 
dist 212=[-1.38109841158072223870e-05,3.12913626079319120330e-05] 
dist 213=[-.30721393735837303669,.15409156332276169062] 
dist 214=[-4.28736322251878408560e-05,3.03731355779367793210e-05] 
dist 215=[-.31952881552744160263,.15355788304004233267] 
dist 216=[-5.94320055365574054950e-05,2.68331187372362562270e-05] 
dist 217=[-.3082047399858711142 ,.11708629232689425361] 
dist 218=[-1.98352617758132519440e-07,.00013139874037576761] 
dist 219=[-.11974213668311231107,.12641652940190273991] 
dist 220=[-8.60352032412293714000e-08,.00012558732354531881] 
dist 221=[-.13605703942623264928,.13263418480313891917] 
dist 222=[-.00019563286389777139,.00014566656827764365] 
dist 223=[-.14903717605628493509,.1361374172991075708 ] 
dist 224=[-.00027769157280297281,.00013939820750032457] 
dist 225=[-.15226204494717658471,.14286347100250763869] 
dist 226=[-5.42567317427055985830e-05,2.13056659134689731140e-07] 
dist 227=[-.16940742875991479476,.15696409861308343592] 
dist 228=[-6.38493244364313965320e-05,1.06864728127442039570e-05] 
dist 229=[-.16928394326746183364,.15706293937605828105] 
dist 230=[-9.14095392092458799770e-05,.00011107108393158997] 
dist 231=[-.16843694186092312007,.15377930844513686175] 
dist 232=[-3.64688041724363239920e-05,.00015082091065035047] 
dist 233=[-.14086179753978846849,.1287583654151583053 ] 
dist 234=[-.00030801552954185423,3.54694082362849596430e-06] 
dist 235=[-.12972682398091370365,.14363496589493252079] 
dist 236=[-.00040338123508529161,.00016350394971813893] 
dist 237=[-.11143666887136771693,.14265018523525956577] 
dist 238=[-.00105486004321647043,.00091062155453334064] 
dist 239=[-.103420908194115697  ,.1388358080414346522 ] 
dist 240=[-.00044120855706474806,.00138318371603942546] 
dist 241=[-.05101212722493528350,.13301298299737775967] 
dist 242=[-.00026705149880288487,.00132191370196395411] 
dist 243=[-.03391998135288994206,.13846475346167701538] 
dist 244=[-.00047045325616739921,.00132191373513878353] 
dist 245=[-.01549463235466989049,.14791574492595177882] 
dist 246=[-.00195757019096540438,.00132191380819267351] 
dist 247=[-.00624300399415398837,.14615778875817970061] 

8 phat 5 dirichlet min maxes function [0, 1, 2, 1, 2, 2, 2, 0, 1] 
dist 0=[441.18180484985047111   ,441.18180484985047111   ] 
dist 1=[420.72529315230153215   ,442.22118478193394541   ] 
dist 2=[367.56375792968613253   ,441.18180484985047111   ] 
dist 3=[279.02209021071181585   ,388.75877627386157675   ] 
dist 4=[177.79971101886687068   ,370.18215822527319125   ] 
dist 5=[108.36676170260223251   ,285.58731642482754973   ] 
dist 6=[44.987031110706231689  ,272.89045006945211742   ] 
dist 7=[-5.8165167793073026808 ,81.984863446096352174  ] 
dist 8=[-51.970588142497991776  ,12.605545220171397526  ] 
dist 9=[-71.158860597766889902  ,-55.677199538306016733  ] 
dist 10=[-95.961009289108440452  ,-51.587448702758363929  ] 
dist 11=[-106.96200688936296860   ,-26.849318235467173015  ] 
dist 12=[-106.59622438968447677   ,1.5346000161466557247 ] 
dist 13=[-90.351980583568579561  ,20.627437838061060062  ] 
dist 14=[-83.676723532328673489  ,33.089473104529408219  ] 
dist 15=[-19.299627530665753906  ,36.417719532687705405  ] 
dist 16=[-8.1358385796172930623 ,51.352075278839334983  ] 
dist 17=[16.135394059825654706  ,72.415235374396050309  ] 
dist 18=[11.395912304701908645  ,74.557859399648998374  ] 
dist 19=[3.7288173573507243761 ,27.337134526990703506  ] 
dist 20=[-6.3453980939380761171 ,25.013020748668835519  ] 
dist 21=[-12.442055781962196988  ,23.480265407742181507  ] 
dist 22=[-16.461539593240358529  ,19.147826331938665992  ] 
dist 23=[-18.851352201556006494  ,6.9630622281132284273 ] 
dist 24=[-19.310732028669758141  ,2.3144882380146321741 ] 
dist 25=[-18.401598160139674882  ,-.33138844399501066815] 
dist 26=[-15.922453503342618930  ,1.0860443765744900870 ] 
dist 27=[-12.065348705756840896  ,.77665157153683772187] 
dist 28=[-11.783991376278166668  ,7.4904703000184247137 ] 
dist 29=[-9.7571573225167120961 ,4.7051229551839814270 ] 
dist 30=[-8.8136698356159077417 ,11.505691084315545899  ] 
dist 31=[-1.7925073276434280606 ,6.8289640398299693397 ] 
dist 32=[-.39445226669264467917,7.9342056916933340459 ] 
dist 33=[2.0966589525422738495 ,10.055201540348780075  ] 
dist 34=[.11421509136296583922,9.2114655352841345368 ] 
dist 35=[.84546070005912634366,3.8644587200271750996 ] 
dist 36=[-2.2173888638082425897 ,5.2650106820820493660 ] 
dist 37=[-1.2829826461259213625 ,2.2022419276148152222 ] 
dist 38=[-4.1220487588785188757 ,4.2432563974427763883 ] 
dist 39=[-2.7588896305903128450 ,-.02061348718022547601] 
dist 40=[-5.0786787414216073981 ,2.5317078914580875561 ] 
dist 41=[-4.1232671081246596766 ,-.93971273257994120567] 
dist 42=[-5.6113858928869461096 ,2.4241734910029388614 ] 
dist 43=[-4.4714640777415043514 ,-.23598549361962097193] 
dist 44=[-5.2279903601772552545 ,3.1288529814377645964 ] 
dist 45=[-4.1066440030475879696 ,1.3982370569022665850 ] 
dist 46=[-5.0066481202699465646 ,3.9439189760368053457 ] 
dist 47=[-3.0354003242722314504 ,1.9574791446072162911 ] 
dist 48=[-2.8885366311241083844 ,3.1367369770191585648 ] 
dist 49=[-2.4681783446643583453 ,1.4579097217322793313 ] 
dist 50=[-4.2724755413057631433 ,2.9589619314940627464 ] 
dist 51=[-9.8451990320314276515 ,2.3274786339351489559 ] 
dist 52=[-5.3499121061984374609 ,2.4906555886524753945 ] 
dist 53=[-10.194276505503639599  ,2.6514545017695724259 ] 
dist 54=[-5.8170863267221680049 ,2.1949377810609676213 ] 
dist 55=[-10.164541723583649289  ,2.6512174749147773924 ] 
dist 56=[-5.6403188968422413771 ,2.1280236248210239817 ] 
dist 57=[-5.6802969315872357767 ,2.7225268274012058920 ] 
dist 58=[-5.8770575307609195923 ,1.9249315687282083149 ] 
dist 59=[-5.2209654391278137239 ,3.3857033045380421187 ] 
dist 60=[-4.8617004587212262682 ,2.1584513821160714557 ] 
dist 61=[-5.5757332152918780350 ,3.7667579974649428489 ] 
dist 62=[-1.9599351190643072851 ,2.1627111985844301301 ] 
dist 63=[-5.4137862987519894197 ,4.1008098396125681168 ] 
dist 64=[-.00056368024761409935,2.6806720857365020595 ] 
dist 65=[.03428089402254561295,4.1069532345008830250 ] 
dist 66=[.02586095189295935608,2.6312787216420835586 ] 
dist 67=[.01122273505926274681,7.4205488946200449443 ] 
dist 68=[-.00564787886276401911,2.4557775882924938801 ] 
dist 69=[-.80366888160607649063,7.8003455805573340219 ] 
dist 70=[-.03854823579472570389,2.3548884801673861541 ] 
dist 71=[-1.3899778850303714013 ,8.5302479135096374688 ] 
dist 72=[-.04293032199651479794,1.9151103753352755173 ] 
dist 73=[-2.0355197027923376875 ,4.6514169513453221847 ] 
dist 74=[-.03340081427949990236,1.7767771134157959210 ] 
dist 75=[-2.9061369140364939810 ,8.4909417211796972407 ] 
dist 76=[-.02308545145048359436,1.5929800858393144236 ] 
dist 77=[-4.7239060655915037167 ,7.4165282304036042765 ] 
dist 78=[-.48380624134109040973,1.4793113132271013706 ] 
dist 79=[-5.8247936725055466527 ,7.1730252212905910713 ] 
dist 80=[-1.7742561590339452947 ,.31363549236670951641] 
dist 81=[-3.1916882095974196944 ,.01313654813078648403] 
dist 82=[-2.3460531521357993197 ,.07226846947365591980] 
dist 83=[-5.7229125420167957929 ,.00707110542013177147] 
dist 84=[-2.9352400014178555734 ,.00534769406662075599] 
dist 85=[-7.0965534124371436394 ,.00402998685154585643] 
dist 86=[-3.0645046007597103793 ,1.2898723491920461765 ] 
dist 87=[-7.3659642942675970675 ,-.00044518343988556331] 
dist 88=[-3.5209149134045416577 ,1.2358200924448879336 ] 
dist 89=[-7.5881333428659887118 ,-.00216134455790540322] 
dist 90=[-3.6217655486625162106 ,1.6685718218470748315 ] 
dist 91=[-7.5960542649042615490 ,-.00035852508353177292] 
dist 92=[-3.5280624816162107985 ,2.0679550582597725666 ] 
dist 93=[-7.9801422733390248346 ,.00239885516136256903] 
dist 94=[-3.4768046482816769872 ,2.6651095769224157984 ] 
dist 95=[-7.8920491720332385464 ,.00336572454203671887] 
dist 96=[5.43550509021344470710e-05,2.6253319938829174923 ] 
dist 97=[-1.4529530493500237348 ,.55947242476071197933] 
dist 98=[-.01938071001838761659,2.6551198104547537964 ] 
dist 99=[-.43184442038097921612,2.7756465261633733876 ] 
dist 100=[-.00030039288742164243,2.5397387055842033380 ] 
dist 101=[-.33268398233245544218,5.0751357035130443539 ] 
dist 102=[-2.4170326045613514809 ,2.6222873354844962063 ] 
dist 103=[-.39861724277597013547,5.4550920082011284154 ] 
dist 104=[-2.7755174339553612102 ,2.8222927724441658514 ] 
dist 105=[-.84623084168688302478,7.2027588607066999321 ] 
dist 106=[-2.7897763006531559105 ,2.9682538236466128244 ] 
dist 107=[-.45097613666080176744,7.7280780825736136137 ] 
dist 108=[-1.6932909873827417218 ,3.1508361804880525005 ] 
dist 109=[-.15390841418998898904,7.9979787528493210996 ] 
dist 110=[-1.9350574691810998849 ,3.0760108692684317992 ] 
dist 111=[-.39282037672704884994,7.9756841882609844805 ] 
dist 112=[-1.6937031545919673174 ,2.6120627892991582859 ] 
dist 113=[-89835.584015622016178     ,2.2843751043766756055 ] 
dist 114=[-1.5492175555110758102 ,1.6785077002446390141 ] 
dist 115=[-1.4899639846912383230 ,4.1156841459620668826 ] 
dist 116=[-1.8464595330730458938 ,.74302679832968491475] 
dist 117=[-1.9884628509352748372 ,4.4318008908146142157 ] 
dist 118=[-2.0020959081584484156 ,1.2182384818454466634 ] 
dist 119=[-2.2749083573207692000 ,4.4366700994489792068 ] 
dist 120=[-2.4852359451927054451 ,.63688902984200169829] 
dist 121=[-2.3857193031254376037 ,3.8761148726237152847 ] 
dist 122=[-2.6015402633570119511 ,.84141756788450290173] 
dist 123=[-2.4184993655061571758 ,3.6916916125522713565 ] 
dist 124=[-2.6652260879186011079 ,1.7820872117035643184 ] 
dist 125=[-2.6477505508144609933 ,3.4286399332677591081 ] 
dist 126=[-2.5091685632066015407 ,1.4124187082226255231 ] 
dist 127=[-.51217592345053843718,3.6816726923846121946 ] 
dist 128=[-3.2513826562216237753 ,1.7088152582174562918 ] 
dist 129=[7.21575828189691058800e-06,3.05491773392059724840e-05] 
dist 130=[-3.1917173283173180581 ,1.7230875252318397892 ] 
dist 131=[-4.8519714836029750182 ,2.1351304768791321910 ] 
dist 132=[-1.42688564063769926420e-06,9.26261574725478861390e-06] 
dist 133=[-5.1106256092680620816 ,2.7723515874014625093 ] 
dist 134=[-2.8358070286524164250 ,3.1235470085712741131 ] 
dist 135=[-5.4421772743293926105 ,2.8222815851194711819 ] 
dist 136=[-2.9023033837851925428 ,2.9676371988527648652 ] 
dist 137=[-3.9660766000070690744 ,.89995379844606172081] 
dist 138=[-2.9242497342054464855 ,3.0499645643374665687 ] 
dist 139=[-5.2600435146921928114 ,3.5289022769165729966 ] 
dist 140=[-1.8667697217632805232 ,2.4412914212626093788 ] 
dist 141=[-4.7377147617635014361 ,3.8989445731878376030 ] 
dist 142=[-2.9882370836164530466 ,2.6017472604126970383 ] 
dist 143=[-4.5641017965633743237 ,4.2753887238923274723 ] 
dist 144=[-2.8198786638067170106 ,2.7683053602027649796 ] 
dist 145=[2.00558993589496638510e-07,2.93233673859992333960e-06] 
dist 146=[-2.6281164557710624887 ,2.8192943645384802554 ] 
dist 147=[-1.08279937081264257060e-06,2.5871108970193219564 ] 
dist 148=[-1.87804812091564426950e-06,1.16841038512050398450e-06] 
dist 149=[-2.37576623958143174000e-06,3.2470964419914255413 ] 
dist 150=[-1.0528894010197272614 ,8.26254879494291109130e-07] 
dist 151=[-2.77505477532262092530e-06,3.3934507975270553013 ] 
dist 152=[-1.6789205970985918160 ,.82943829585378118312] 
dist 153=[-2.57769875888211406870e-06,4.7153064766932519434 ] 
dist 154=[-1.6761538912099878862 ,.82581123919153961805] 
dist 155=[-2.37943933912628222180e-06,4.7436041861741766357 ] 
dist 156=[-2.5170022367816187922 ,.4612806326231884583 ] 
dist 157=[-5.03942695839830843350e-06,5.0453155344595280023 ] 
dist 158=[-2.5954872668529915976 ,.71867870107409385866] 
dist 159=[-5.98725676681901873050e-06,5.2521328137254492924 ] 
dist 160=[-2.4773931636926050230 ,.86228852395304763702] 
dist 161=[-8.73802202097361386170e-06,3.58215577460648524630e-06] 
dist 162=[-2.5902929350894791708 ,1.2095218001006179940 ] 
dist 163=[-3.6746408622059786296 ,3.3519461582130427322 ] 
dist 164=[-2.73297668482608111480e-05,2.73828308510744989480e-06] 
dist 165=[-4.2243971216423708262 ,3.5306805896712116503 ] 
dist 166=[-2.6957440240428051968 ,4.6703589277723054263 ] 
dist 167=[-4.4161952476936991532 ,3.4369225460684468892 ] 
dist 168=[-3.3991162147284784868 ,5.4718749657960845456 ] 
dist 169=[-4.9785374873928645253 ,2.5416612013092558672 ] 
dist 170=[-3.5695488488845278731 ,5.4798621315082267654 ] 
dist 171=[-5.0092817014386096627 ,2.3524036792019245835 ] 
dist 172=[-2.8717194193599248985 ,4.5638784323201547577 ] 
dist 173=[-5.1026711984449125484 ,2.9051049996587877016 ] 
dist 174=[-3.7793792615432065449 ,5.4935648241114015739 ] 
dist 175=[-4.9791591017040787750 ,2.5541224280636260740 ] 
dist 176=[-3.7588681933633514748 ,5.3436608221123141107 ] 
dist 177=[-.00012856008609090744,3.57432767868004538380e-05] 
dist 178=[-3.6689537825486151476 ,5.0973713052525232483 ] 
dist 179=[-.00031725118785114664,.00028153690447517207] 
dist 180=[-2.8803280420230038425 ,2.24861704284737549110e-08] 
dist 181=[-.00050594237294446874,.00055247059544978931] 
dist 182=[-2.9276301210752489645 ,4.6224633127088016420 ] 
dist 183=[-.00056307353275674656,.00063450264774801958] 
dist 184=[-2.3367354642656601786 ,5.4167858054884192155 ] 
dist 185=[-.00050657616037881908,.00063513623682369674] 
dist 186=[-2.3832899428115298997 ,5.4194722141765806630 ] 
dist 187=[-.00036677930425649684,.00063722904981050571] 
dist 188=[-2.6998931085078707169 ,4.5646680028556838773 ] 
dist 189=[-.00105262920071546449,.00063932188457672116] 
dist 190=[-2.7479680375967063883 ,5.3480355301310054835 ] 
dist 191=[-.00127445817066737888,.00063995554850385554] 
dist 192=[-2.2844149176457576457 ,5.1919140197643660682 ] 
dist 193=[-.00105262799036355087,3.25647521479808588100e-07] 
dist 194=[-2.3421871108500517595 ,4.9429433947086953288 ] 
dist 195=[-.00083016650879667678,4.02885312184507838520e-08] 
dist 196=[-.00013337636545311231,2.4624903734122856709 ] 
dist 197=[-2.86993295054907247180e-09,.00041748401806542344] 
dist 198=[-5.7363794311486395116 ,2.9286110504924643727 ] 
dist 199=[-4.02375615836139537670e-08,.00063994549128969942] 
dist 200=[-5.4097512920316757054 ,2.4501181307139199511 ] 
dist 201=[-6.40397565456889443340e-08,.00055247731881087567] 
dist 202=[-5.2535236784949343541 ,2.5165763181799098450 ] 
dist 203=[-.00053441045958555984,.00041331381838511931] 
dist 204=[-3.1874863994266440926 ,2.5171917371027005690 ] 
dist 205=[-.00036677430878233211,1.05886307220435081020e-05] 
dist 206=[-4.9943815748644389452 ,3.1444562076947070275 ] 
dist 207=[-.00012857486781950984,2.18322629528703246320e-08] 
dist 208=[-5.5385961999369687796 ,3.2208789839440331204 ] 
dist 209=[-5.89936052136173984820e-05,3.54711527535454601120e-08] 

8 phat 5 dirichlet min maxes function [2, 2, 1, 0, 1, 0, 1] 
dist 0=[300.31141013996742630   ,300.31141013996742630   ] 
dist 1=[289.21876441364325816   ,303.77416022355784112   ] 
dist 2=[269.87054596918668919   ,302.24718666644993380   ] 
dist 3=[241.94656740529578938   ,280.30780852157304662   ] 
dist 4=[196.72747977803000275   ,277.08981878889922852   ] 
dist 5=[148.67600808805097353   ,193.78146794116718596   ] 
dist 6=[109.62731744377884557   ,181.37819256334100826   ] 
dist 7=[71.659890677162516988  ,117.24330802377727443   ] 
dist 8=[28.266685081665892256  ,90.556391190749338586  ] 
dist 9=[-15.254045302767250601  ,22.583602328719524480  ] 
dist 10=[-42.752616126611837526  ,12.321081366204056098  ] 
dist 11=[-56.581919949186153274  ,-10.100555632523088771  ] 
dist 12=[-58.939375826401754659  ,-14.608715463823774587  ] 
dist 13=[-54.855898448656363274  ,-9.5838390057847864876 ] 
dist 14=[-53.352086313802239189  ,6.9247515913565081525 ] 
dist 15=[-40.835426224554602154  ,21.864140350120734108  ] 
dist 16=[-38.957330767659244567  ,35.357108908273534580  ] 
dist 17=[-3.1985645121515372970 ,44.905228794580421594  ] 
dist 18=[1.4144351673814112633 ,46.638247215692027600  ] 
dist 19=[9.2582930510286337181 ,41.995011400264537909  ] 
dist 20=[10.433769287035349056  ,40.583064149547333622  ] 
dist 21=[.58217218463707505042,24.807934440488571363  ] 
dist 22=[-12.181639318884621037  ,23.943799370404677186  ] 
dist 23=[-21.369288801428856939  ,19.238304527606718284  ] 
dist 24=[-26.245550697947098016  ,17.298277544142334246  ] 
dist 25=[-28.084418687975241196  ,13.832595888095281905  ] 
dist 26=[-27.916631822319188687  ,13.989220062402573374  ] 
dist 27=[-22.241099151276866829  ,14.111931057310399292  ] 
dist 28=[-18.709800007083110834  ,14.163024188046177703  ] 
dist 29=[-5.6301913700321581019 ,13.944067376651841157  ] 
dist 30=[-5.4734555244340484055 ,13.083235205153437140  ] 
dist 31=[-4.2276315088268768054 ,11.690822396684018210  ] 
dist 32=[-3.9864316672762612461 ,9.4905990128584155450 ] 
dist 33=[-.45174876231656095821,6.6120824112477041743 ] 
dist 34=[.06426501610145910084,6.5819441558707090505 ] 
dist 35=[.92277615884308474374,5.3112698657629984335 ] 
dist 36=[1.0641870792152721436 ,5.1253098883884037989 ] 
dist 37=[-.1708437692024340611 ,3.0634920737209013263 ] 
dist 38=[-1.7980143026551562773 ,2.9582263267169072865 ] 
dist 39=[-2.9047945028752430617 ,2.2623949111001432022 ] 
dist 40=[-3.3621326415757183961 ,2.1093245050969237260 ] 
dist 41=[-3.4577774058036691145 ,.28317449366985139518] 
dist 42=[-3.3685893727365252688 ,-.00630114904406263296] 
dist 43=[-2.7815014770833982606 ,-.42649719244163090062] 
dist 44=[-2.5015036736922213769 ,-.46341239508937503142] 
dist 45=[-.70012978148563114999,1.0228950344052643627 ] 
dist 46=[-.66913964283589143891,1.9634006595377567254 ] 
dist 47=[-.71837250929661092958,2.5684076877697127648 ] 
dist 48=[-.48255738588951149809,2.7187768248609384332 ] 
dist 49=[-.21421250268731004628,.77785340923228525496] 
dist 50=[-.15002305230225174878,.76602944873657349444] 
dist 51=[-.0559098850468207401 ,.61419146295447786418] 
dist 52=[-.02496768417039605863,.6291163472535561189 ] 
dist 53=[-.30455886397301144017,.62253241792058820589] 
dist 54=[-.51932738995912967979,.59120718169555591497] 
dist 55=[-.6729124721789786737 ,.50736216934401899554] 
dist 56=[-.71823343599358977169,.46152574645847179007] 
dist 57=[-.71590593396707635626,.24046146779231393446] 
dist 58=[-.68407229175941823872,.17890429849265996277] 
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dist 117=[2.33572966698104212600e-05,.0674624812861199455 ] 
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dist 154=[-1.28615086079121447800e-05,1.24760393217039130190e-05] 
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dist 162=[-6.31772603166416361690e-05,7.66456548416618000980e-05] 
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dist 166=[-9.23438131304843326240e-05,1.60076951872675230520e-05] 
dist 167=[-.05475083860331689608,.04739394829740819696] 
dist 168=[-9.23864191082556046300e-05,3.16264400473708176480e-05] 
dist 169=[-.07548862541188339017,.01037357311417360256] 
dist 170=[-9.24807018124427192630e-05,.00013688568126195983] 
dist 171=[-.08210845070825377411,.00018485365231124470] 
dist 172=[-9.53061407335335079210e-05,.00019199932273882569] 
dist 173=[-.01006469764320833925,.00049728346537762857] 
dist 174=[-2.14445266349385842950e-07,-1.45439667002936713360e-08] 
dist 175=[-.01018589300134828758,.00526935237292981910] 
dist 176=[-1.89466940946243193570e-07,-2.40960565402859718270e-09] 
dist 177=[-.00622076237724091701,.00676537334487311722] 
dist 178=[-1.63444442691902633590e-07,2.60035793222092245770e-07] 
dist 179=[-.00532066035081825292,.00671306591040647648] 
dist 180=[-1.54574166104210782410e-07,3.71183215163010959070e-07] 
dist 181=[-.00032632130192565572,.00412966944605030996] 
dist 182=[3.81264287620405175940e-09,5.64432774450109450530e-08] 
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dist 184=[-1.15430535940676938760e-08,7.12193808539438925430e-08] 
dist 185=[-.00481208457496726497,.01082467291486771686] 
dist 186=[-1.41530031095627397890e-07,1.34120356981290332100e-07] 
dist 187=[-.00662362639569436532,.01126161651740523377] 
dist 188=[-1.88737517199405297650e-07,5.27191904598276367510e-08] 
dist 189=[-.00625328583475784583,.00044089231841583118] 
dist 190=[-2.23468645907192932590e-08,4.05882333922652428500e-09] 
dist 191=[-.01001744899945773864,.00149708790391905373] 
dist 192=[-2.01303391883288706930e-08,5.89312106968333946470e-09] 
dist 193=[-.01119917130275088971,.00422009581084933890] 
dist 194=[-1.96369001236713771250e-08,2.85892197757416719580e-08] 
dist 195=[-.01164901652972692471,.00400263274115870075] 
dist 196=[-1.84293783892978277680e-08,4.04456003516699189800e-08] 
dist 197=[-.00409917445048275082,.00048655340097302305] 
dist 198=[-1.48044233435818618620e-08,1.14664575634009161910e-08] 
dist 199=[-.00601388678189884229,.01138758993854958465] 
dist 200=[-1.64429613060367174920e-08,1.08315347529356739220e-08] 
dist 201=[-.00367709851208607331,.00935538088911432051] 
dist 202=[-2.00563745669286063740e-08,2.71793706365000096450e-08] 
dist 203=[-.00573079498977347231,.01148549219818804998] 
dist 204=[-2.12904784765427307010e-08,3.72727641584194648550e-08] 
dist 205=[-.00075406487281044365,.00580890058740220158] 
dist 206=[-8.19787255070347954630e-08,2.35752310115674811690e-09] 
dist 207=[-.00822482180405193018,.00556637687292107015] 
dist 208=[-7.89630964616534370890e-08,1.81139548264648611370e-09] 
dist 209=[-.01185099398863511463,.00666848420537912723] 
dist 210=[-9.27286350616821189970e-08,1.23942778034108649080e-07] 
dist 211=[-.01121819016748137035,.00713447952776113312] 
dist 212=[-8.77873130181535675130e-08,1.74076386458787067480e-07] 
dist 213=[-.00331797281800794192,.00038517345218545350] 
dist 214=[-2.80268305343820295470e-09,3.68025504549830707320e-08] 
dist 215=[-.00544090086173848805,4.49341607968044187280e-08] 
dist 216=[-9.10579253462839541700e-09,4.16082556180736440280e-08] 
dist 217=[-.00694697838158164096,.00032743254600920378] 
dist 218=[-6.98910453379710276040e-08,5.99979525387024132050e-08] 
dist 219=[-.00715833686060280765,.00209070039364714774] 
dist 220=[-9.55434836995924164100e-08,2.73297242084835826010e-08] 
dist 221=[-.00351013867369620765,.00440384671106012270] 
dist 222=[-1.25961801994329891300e-09,1.89864741771209097010e-07] 
dist 223=[-.00390684163875364739,.00573010157009358912] 
dist 224=[-1.02470240155700414700e-07,2.49741965087455370010e-07] 
dist 225=[-.00361809856783112209,.00687039151091652183] 
dist 226=[-5.65459462212404827300e-07,6.55626975828815348890e-07] 
dist 227=[-.00318976803030323100,.00718142351663071742] 
dist 228=[-8.58181432329836329760e-07,2.75251057139479095010e-07] 
dist 229=[-.00206546054096891819,.00406798003895998338] 
dist 230=[-8.20523658411363481900e-07,1.67081382089190641740e-07] 
dist 231=[-.00324591695994779013,.00282488120906426355] 
dist 232=[-8.20525090612960400790e-07,2.92993555716550987720e-07] 
dist 233=[-.00426467106020113281,.00093350065839852888] 
dist 234=[-8.20528285106827767640e-07,1.21508593905673354600e-06] 
dist 235=[-.00450839528285792000,.00017820122519881504] 

8 phat 5 dirichlet min maxes function [1, 1, 1, 0, 2, 1, 1, 0, 1] 
dist 0=[392.32008430517958121   ,392.32008430517958121   ] 
dist 1=[377.67501800730730334   ,390.24882450373029773   ] 
dist 2=[342.80608216720488944   ,392.32008430517958121   ] 
dist 3=[276.77546012814777188   ,344.36522771331716188   ] 
dist 4=[205.13169637466514857   ,317.38872398616676995   ] 
dist 5=[146.76128137688312314   ,260.71460170452878972   ] 
dist 6=[55.301990602923080571  ,123.72451544055523240   ] 
dist 7=[-6.3269691438661422002 ,111.07975343509335201   ] 
dist 8=[-54.046779894301058156  ,74.034376676891079828  ] 
dist 9=[-83.682917596254727981  ,-4.9210303633080073474 ] 
dist 10=[-101.76108903806758332   ,-26.100060354876433213  ] 
dist 11=[-103.97577030708469101   ,-11.558327383160634528  ] 
dist 12=[-91.414467522185812563  ,7.8248084528147318471 ] 
dist 13=[-87.681010365443505566  ,25.615032913444459450  ] 
dist 14=[-14.693121440374830661  ,41.953794424912386241  ] 
dist 15=[-3.7025654043057626036 ,57.892619522170117418  ] 
dist 16=[18.426263369871003740  ,68.902304643358572255  ] 
dist 17=[30.303881396887688954  ,70.594112321771434238  ] 
dist 18=[36.327712905931310904  ,60.729837054232545921  ] 
dist 19=[28.112975228352458283  ,59.222942920974762454  ] 
dist 20=[1.3267494204217638133 ,47.830243267032834924  ] 
dist 21=[-15.119702224572949843  ,44.114023396189441606  ] 
dist 22=[-27.904050089578223131  ,16.405076876504200889  ] 
dist 23=[-34.304761343123514593  ,10.607284445020552187  ] 
dist 24=[-38.253702545598523761  ,3.6671881484114652644 ] 
dist 25=[-40.517898935528792073  ,.16762385458024762903] 
dist 26=[-32.113097403300289635  ,-11.064511435291815987  ] 
dist 27=[-27.854636557623964820  ,-6.7483963501631784031 ] 
dist 28=[-9.7457411389295386965 ,9.6564937776416636272 ] 
dist 29=[-2.0369085006681451705 ,20.018530787819188535  ] 
dist 30=[1.1700871133871779412 ,26.981862858439646295  ] 
dist 31=[4.2706005190539719310 ,28.255482685835385417  ] 
dist 32=[4.7149388107239514677 ,10.794143954448815168  ] 
dist 33=[6.1932422085908681763 ,8.6361099368395173209 ] 
dist 34=[5.3276037064756193979 ,9.0972964640501994851 ] 
dist 35=[2.7487975322866568972 ,6.7307161118653406836 ] 
dist 36=[-1.2471298501146828433 ,4.7199550585150128274 ] 
dist 37=[-2.8945406697782194189 ,2.5818931483909226943 ] 
dist 38=[-4.5804892300567493221 ,.40122536808646187673] 
dist 39=[-5.2549488947302603214 ,-.19492705470043213926] 
dist 40=[-6.3579268829227608822 ,-1.2179576454380831130 ] 
dist 41=[-4.4963141499796992911 ,-1.2882430325983762440 ] 
dist 42=[-5.6488086971495471995 ,-.21924811929598628237] 
dist 43=[-3.5884524008724501909 ,-.68311794675136627597] 
dist 44=[-2.5259185042316556883 ,3.7833094153186736511 ] 
dist 45=[-2.6188508724513197155 ,2.1665656303243711354 ] 
dist 46=[-.61679744236973999726,5.3313766764156324180 ] 
dist 47=[-2.0283776467900259989 ,3.5492029814889205907 ] 
dist 48=[.04794877149185925799,1.3034553558969508347 ] 
dist 49=[-1.4272604294875840626 ,1.9503402048180751786 ] 
dist 50=[.03721048865567241122,1.2352819378520800037 ] 
dist 51=[-1.7325778564964750067 ,1.6477692944540442048 ] 
dist 52=[-.47278806388482687484,.89954169972761945105] 
dist 53=[-2.8095610506622063278 ,1.3390107788460929166 ] 
dist 54=[-1.6905905192488917409 ,.04956694059713926940] 
dist 55=[-3.3705707631629943060 ,1.1823155981183102964 ] 
dist 56=[-1.1038962304354577448 ,-.17538841311449678761] 
dist 57=[-.55160657691654645172,1.5441706126208411916 ] 
dist 58=[-1.6335155865797377131 ,-.16060640368682783714] 
dist 59=[-.4191597509582591789 ,1.5353056366171914404 ] 
dist 60=[-.67724769024939591378,.25768957499522021747] 
dist 61=[-.00589443437855723326,1.9545574489862213583 ] 
dist 62=[-1.1442225998695130043 ,.77365733302562216163] 
dist 63=[.07798435608516640186,2.0434639268243838750 ] 
dist 64=[-3.4064205517245519445 ,1.9916282403466707855 ] 
dist 65=[.09149948089944482895,2.1132712741622007575 ] 
dist 66=[-3.3993263373142492857 ,2.7543564147558575533 ] 
dist 67=[.03756184556062538106,2.0187160559868140851 ] 
dist 68=[-3.9157207445998396517 ,2.7492453082788178014 ] 
dist 69=[-.04947538354222691752,1.9036665654608262309 ] 
dist 70=[-4.0288322038999155217 ,2.6241463640448919147 ] 
dist 71=[-.07843957600817928713,1.8175479035499119113 ] 
dist 72=[-3.7481752419570628862 ,3.8392717381813018119 ] 
dist 73=[-1.4241536952419833577 ,-.02161426671203276493] 
dist 74=[-3.6623599809769756212 ,3.9036216255169331468 ] 
dist 75=[-1.9198733181698313488 ,-.01051666490083303231] 
dist 76=[-3.9827849498262196874 ,3.6514787713696998971 ] 
dist 77=[-1.8490749052760271173 ,.03331511665661918198] 
dist 78=[-3.8304514927491469237 ,3.6473101501366430932 ] 
dist 79=[-1.8387488572608830067 ,.11831035607811136513] 
dist 80=[-3.4060426159656601339 ,2.9045857083632520775 ] 
dist 81=[-1.7248757351123885030 ,.01694836157364191299] 
dist 82=[-3.3296898371961781732 ,2.3523350656672553455 ] 
dist 83=[-1.7289696795257088831 ,.21709751114464720611] 
dist 84=[-3.7295730567390329821 ,1.4160514714024586784 ] 
dist 85=[-1.7815912256757747220 ,.00084700925316308389] 
dist 86=[-3.7868784897330447205 ,1.4200275905684048159 ] 
dist 87=[-1.8523965632788081890 ,.50516643334009161437] 
dist 88=[-3.5003082378561123852 ,.23524263597440774107] 
dist 89=[-.00854394359245304071,.87025028421251811802] 
dist 90=[-3.4303154767020819318 ,.4650944553503014308 ] 
dist 91=[-.00625736200519201559,.96403200717313085874] 
dist 92=[-3.8292468378621984806 ,.00273352360550261700] 
dist 93=[-.00185385253655856622,1.6146198708952451056 ] 
dist 94=[-3.7108125604558429789 ,.00673198972904792965] 
dist 95=[.00126803629905663216,1.5425040253264767770 ] 
dist 96=[-3.5648012658509954261 ,3.0688991260384046702 ] 
dist 97=[-.00964650369982675308,2.0792167613776351580 ] 
dist 98=[-3.4390181981343544820 ,3.5934753687578494809 ] 
dist 99=[-.02486162941190216516,1.9827563753001527560 ] 
dist 100=[-4.2382293422311544228 ,3.8563810434334569401 ] 
dist 101=[-.02641434351465834832,2.2767657185581646209 ] 
dist 102=[-3.7951173822043139303 ,3.8872174061156633579 ] 
dist 103=[-.02512492985910663237,2.1977161987405809246 ] 
dist 104=[-4.2633367416803791429 ,4.5405282734031281608 ] 
dist 105=[-1.4614127457548463470 ,2.4232809043277831862 ] 
dist 106=[-3.8923638936383872864 ,4.7960721459747868384 ] 
dist 107=[-1.9645683768605073466 ,2.2812003998498214058 ] 
dist 108=[-3.7545190504816501854 ,4.9664854740490472853 ] 
dist 109=[-1.8229739695176600452 ,2.3068431075452652473 ] 
dist 110=[-3.6616732930881175329 ,5.0313851522825155200 ] 
dist 111=[-1.9015830273430207663 ,2.2927938827739219670 ] 
dist 112=[-6.51074878487730785440e-05,2.5994835534539244339 ] 
dist 113=[-1.7822567028839102574 ,2.0428081448741698561 ] 
dist 114=[-1.39098212131290845920e-05,2.5544984046809498399 ] 
dist 115=[-2.0127559121035638899 ,1.8618301017206502543 ] 
dist 116=[-.00011513635362826797,2.3919864050868719627 ] 
dist 117=[-1.8047457840235540459 ,1.7933767247442054804 ] 
dist 118=[-.00027310662481589945,2.3315237805102274773 ] 
dist 119=[-1.9268940240761763117 ,1.7650634627590900767 ] 
dist 120=[-.00024576372938579997,1.6926738983628272183 ] 
dist 121=[-.00012929261788854901,1.3460697586160284633 ] 
dist 122=[-.00010456561746487368,1.4727962801877265024 ] 
dist 123=[-9.34299274242909232430e-05,1.3423840481540477000 ] 
dist 124=[-2.93568276122715418370e-05,1.2959952059227175107 ] 
dist 125=[1.26756034617791919920e-06,1.4516610403832844912 ] 
dist 126=[8.87734634126808931020e-06,1.2221540978365633603 ] 
dist 127=[1.95888135589042731280e-05,1.4766592076093759727 ] 
dist 128=[-.76928984588510301876,3.17153451958820230250e-05] 
dist 129=[2.07354235763679350240e-05,1.1480874601295684167 ] 
dist 130=[-1.2415274124137294996 ,2.31851728744611365050e-05] 
dist 131=[7.74234022692986297460e-06,1.2004381170916427571 ] 
dist 132=[-1.7685109418899628846 ,1.49238250917943827860e-05] 
dist 133=[-1.18939504649586537020e-05,1.3378396737148299252 ] 
dist 134=[-2.0802868359268346695 ,4.75047641653733877570e-07] 
dist 135=[-1.80167529699925643960e-05,1.3695273983658128087 ] 
dist 136=[-2.5552960482714182120 ,-4.11356415629713832700e-06] 
dist 137=[-1.0877972558766225424 ,-4.01909933339428882330e-06] 
dist 138=[-2.7750111686761569559 ,-3.45198262912253163660e-06] 
dist 139=[-1.0847524243454244223 ,-2.16364579151525139590e-06] 
dist 140=[-2.8987105024843302230 ,3.89422164548532272960e-06] 
dist 141=[-1.2174609791572356803 ,7.67882861628347584430e-06] 
dist 142=[-2.9012583268965178038 ,.05287799500385995558] 
dist 143=[-1.2365354924982477524 ,1.06796845199625340950e-05] 
dist 144=[1.81656291618940135320e-06,1.3516894154093084369 ] 
dist 145=[-1.1708179555158532072 ,.12578989622190686912] 
dist 146=[1.49309110689530780940e-06,1.9345256859832325003 ] 
dist 147=[-1.2468500033420994233 ,.20875214541004315551] 
dist 148=[-4.03942332177665107150e-07,2.3953537578786648175 ] 
dist 149=[-1.1466003371911522439 ,.38342910271350547215] 
dist 150=[-1.91334630337471524360e-06,2.5702710091562199171 ] 
dist 151=[-1.1038443862698768814 ,.37441084278309798076] 
dist 152=[-2.02553821113164163040e-06,2.7319698227006489356 ] 
dist 153=[-1.6163453687980971468 ,1.7001918175790982902 ] 
dist 154=[-1.53351001209321666610e-06,2.8182505366224007582 ] 
dist 155=[-1.6080187971986982424 ,1.7238338612600377780 ] 
dist 156=[-4.24932119911443979740e-07,2.8419139381936504651 ] 
dist 157=[-1.6199189919714304135 ,1.8322127207886301511 ] 
dist 158=[1.24331697393772849280e-07,2.8025694213417749563 ] 
dist 159=[-1.6113447920720677287 ,1.8673765677557961989 ] 
dist 160=[2.91930282626983848220e-07,1.1725619933390421642 ] 
dist 161=[-.97734836594024651526,1.5914608625447283213 ] 
dist 162=[2.38776694345158608560e-07,.71406271291183096414] 
dist 163=[-1.2268172908065711757 ,1.7460683373628957639 ] 
dist 164=[-.15363379781464273834,.20964782531896782859] 
dist 165=[-1.2780824968110278423 ,1.6001506088064598292 ] 
dist 166=[-.41992094316137145392,.02829706091812508294] 
dist 167=[-1.3873954168675271474 ,1.6131766803780334500 ] 
dist 168=[-.97790891530547416436,-7.29466619213610264190e-08] 
dist 169=[-.54578412338482174132,.5557800699340146423 ] 
dist 170=[-1.2035769671251201382 ,-6.01387098736597673310e-08] 
dist 171=[-.51965612217490500479,.54714084946342882115] 
dist 172=[-1.3683076376646542857 ,5.93193611490094740810e-08] 
dist 173=[-.82226964342070058676,.71290486599874731265] 
dist 174=[-1.4276801237993823450 ,2.79568684825711024300e-07] 
dist 175=[-.73158421076779508957,.73134364200069438023] 
dist 176=[-1.3051565646567900116 ,7.74372351542930140830e-08] 
dist 177=[-1.0640408540348536455 ,1.1503886162545944446 ] 
dist 178=[-1.2805250290451860144 ,5.55144622451987842140e-08] 
dist 179=[-1.0476508607615232996 ,1.1251181997633986362 ] 
dist 180=[-1.2282439124690449611 ,5.06226830171782205810e-08] 
dist 181=[-1.4480090623925346757 ,1.0318751852316145352 ] 
dist 182=[-1.1925125016553398758 ,2.00931064040084723470e-08] 
dist 183=[-1.2739415218362022097 ,1.0673766470550721022 ] 
dist 184=[-.98127424446442521196,1.62244445949596670180e-08] 
dist 185=[-3.26735024270933029390e-08,2.7331285607417282479 ] 
dist 186=[-.90321259898588062446,-6.20867800514843134510e-09] 
dist 187=[-2.32807072787921154660e-08,2.8331495520608962293 ] 
dist 188=[-.79013261422556015904,9.33287910722378034180e-09] 
dist 189=[-7.59059240365714498460e-10,2.5894439134390288319 ] 
dist 190=[-.72596022925673292995,.25285851373824283434] 
dist 191=[-.11774891932941175974,2.5052382473845235230 ] 
dist 192=[-.15572358962364847424,.88768412262935582359] 
dist 193=[1.90982521829815403120e-09,1.5738322277902881709 ] 
dist 194=[-.03573221276298630360,1.1656751253374164155 ] 
dist 195=[-.08896203070036835916,1.6152243000863615803 ] 
dist 196=[-4.35918511606869243220e-09,1.4485466722299899380 ] 
dist 197=[-.13341886030424797381,1.6314069791169985670 ] 
dist 198=[-7.70214436366705195390e-09,1.5125356112932823523 ] 
dist 199=[-.05315729161409333921,1.8940233140828623264 ] 
dist 200=[-.04001061591948583954,1.7321268377866408149 ] 
dist 201=[-.68524563728184693027,.63663683202778187072] 
dist 202=[-.10448286232594168239,1.7837518808743637600 ] 
dist 203=[-.76343530604239738187,.52583793038971955562] 
dist 204=[-.22260679318822607236,1.7425269876244334695 ] 
dist 205=[-1.1677865910655911769 ,1.7315245200977949789 ] 
dist 206=[-.38312113790154179743,1.7197779822743533844 ] 
dist 207=[-1.2926839469470954910 ,1.4591097257860591748 ] 
dist 208=[-.93335874597897441898,4.42739390813436633910e-09] 
dist 209=[-2.4036029732132683946 ,2.5957780395815878349 ] 
dist 210=[-1.1091773654609736251 ,3.52536080666707185900e-09] 
dist 211=[-2.4059070516722542259 ,2.5324819176883602631 ] 
dist 212=[-1.2690979074615473548 ,2.64284129465661134970e-09] 
dist 213=[-2.1795735795478083254 ,2.8623679835169018893 ] 
dist 214=[-1.4128165069806088124 ,4.37742618391488529730e-09] 
dist 215=[-2.2185077827993460385 ,2.7968679065902590252 ] 
dist 216=[-1.6214223450078786119 ,4.62368810808513137420e-09] 
dist 217=[-2.2811080582709180801 ,1.2357372029420361351 ] 
dist 218=[-1.7153333559131476428 ,3.86357539476327984740e-09] 
dist 219=[-2.2313995118159869747 ,1.2544985076226205637 ] 
dist 220=[-1.7565155340211260388 ,2.80114295299801429200e-09] 
dist 221=[-2.7360798273140203987 ,1.2053974275987499892 ] 
dist 222=[-1.7403702832725539029 ,3.17485042487953673710e-09] 
dist 223=[-2.6560474577022267536 ,1.2184472293057881207 ] 
dist 224=[-1.2866507136119986627 ,.3255923445676211416 ] 
dist 225=[-2.6422734397798400073 ,1.1809777571893287200 ] 
dist 226=[-1.1230314373738141026 ,.60683211568507822675] 
dist 227=[-2.7518169147938455025 ,1.1896603404957040785 ] 
dist 228=[-2719445645.7764751438          ,.90554584567623432751] 
dist 229=[-2.6934004385676813253 ,1.1727022162785643892 ] 
dist 230=[-.8423852028298786295 ,.98236273904091536148] 
dist 231=[-2.5774784581314406267 ,1.1750062952142716996 ] 
dist 232=[-.50438417164116070758,1.2266288706821224405 ] 
dist 233=[-2.2225188623557290888 ,1.2810886994496369162 ] 
dist 234=[-.35756040762673478101,1.2873389441605969307 ] 
dist 235=[-2.1750013029647681685 ,1.2745033342935029193 ] 
dist 236=[-.218864838820985992  ,1.3227907220077450347 ] 
dist 237=[-2.6774906349652035842 ,1.3059605655701280982 ] 
dist 238=[-.16449082560208614966,1.3157783324211109111 ] 
dist 239=[-2.6074794872338179364 ,1.2976421848727188554 ] 
dist 240=[-4.63642485033379993150e-09,2.81797147072773897500e-09] 
dist 241=[-2.5836842486173922875 ,1.3089870287866994809 ] 
dist 242=[-4.30100121924555914970e-09,2.61712613973012575740e-09] 
dist 243=[-2.6932277214199515103 ,1.3107253726922233262 ] 
dist 244=[-3.25305778134078007190e-09,2.26732010089181693190e-09] 
dist 245=[-2.6448324640794622433 ,1.2902404184789685345 ] 
dist 246=[-4.10455736797641818880e-09,4.64761800536708618810e-09] 
dist 247=[-2.5289104832920648376 ,1.2994765381355493872 ] 

8 phat 5 dirichlet min maxes function [0, 1, 2, 2, 0, 0, 2] 
dist 0=[300.31222700005513833   ,300.31222700005513833   ] 
dist 1=[289.21979216842191291   ,303.77476527637963206   ] 
dist 2=[269.87170009876131173   ,302.23954821788879438   ] 
dist 3=[241.94779659288238796   ,280.30814862225326714   ] 
dist 4=[196.72871773734572053   ,277.08995533623667853   ] 
dist 5=[148.67716918552249779   ,193.78044863800207772   ] 
dist 6=[109.62822484045693434   ,181.37714804637063156   ] 
dist 7=[71.660400489885882560  ,117.24181597086850730   ] 
dist 8=[28.266564878224460312  ,90.556610959697968940  ] 
dist 9=[-15.255600635560478471  ,22.585068902476635856  ] 
dist 10=[-42.754004008451596814  ,10.980948632591396835  ] 
dist 11=[-56.583041607394054332  ,-10.100423011970782642  ] 
dist 12=[-59.217612203343221162  ,-14.608760605749539744  ] 
dist 13=[-56.515201642742917290  ,-9.5748258467036496763 ] 
dist 14=[-53.353221289592325414  ,6.9258488890876876858 ] 
dist 15=[-42.439005054380546909  ,21.867102033365731960  ] 
dist 16=[-38.958144313492030465  ,35.358533833958552973  ] 
dist 17=[-4.3087027512613883951 ,47.274239353567508319  ] 
dist 18=[1.4075283144543784729 ,46.639546065295303176  ] 
dist 19=[9.2600689639748089346 ,43.544317910639705632  ] 
dist 20=[10.435558725779013075  ,40.583953001186310059  ] 
dist 21=[.58638476213653064106,24.803684604670050789  ] 
dist 22=[-12.176860740427957882  ,23.939826392383984037  ] 
dist 23=[-21.364154959957219798  ,19.240340158275492639  ] 
dist 24=[-26.240323184358884550  ,17.295514098090721076  ] 
dist 25=[-28.079274097207988219  ,13.823572247205962393  ] 
dist 26=[-27.911780737870473871  ,15.939119705206294863  ] 
dist 27=[-22.238219660255205537  ,14.107067979862819125  ] 
dist 28=[-18.702736462066371390  ,16.212084337495910232  ] 
dist 29=[-6.1931095632125225973 ,13.945841790550957101  ] 
dist 30=[-5.4760899284147679862 ,13.078793726203923404  ] 
dist 31=[-5.2651987296549844535 ,13.358739451529199219  ] 
dist 32=[-3.9882666872154380331 ,9.4941089777692907661 ] 
dist 33=[-2.2293432545409043102 ,6.6773532973883485989 ] 
dist 34=[.06717172636937513134,6.5942412165325139952 ] 
dist 35=[-.19646092782117615847,5.3252582811354116138 ] 
dist 36=[1.0670987716287572292 ,5.1337042580748884615 ] 
dist 37=[-1.8830322685540726592 ,4.8375025388504928365 ] 
dist 38=[-1.7835070330842368422 ,2.9197261942298792413 ] 
dist 39=[-5.0764071996302809674 ,3.9984650982708280563 ] 
dist 40=[-3.3471977377840214762 ,2.0826337126396906762 ] 
dist 41=[-6.3430173276348282957 ,3.3643953822826855178 ] 
dist 42=[-3.3545249299064106451 ,-.08428726624135370250] 
dist 43=[-6.2254817150611004495 ,3.1431567061125914477 ] 
dist 44=[-2.4915120906691751762 ,-.45920738679869863119] 
dist 45=[-4.1809780644795294508 ,2.9834067186232342046 ] 
dist 46=[-.67079980479222468466,1.9083753121658388390 ] 
dist 47=[-2.6287015053232866609 ,3.3594671093855327173 ] 
dist 48=[-.48374728575159100644,2.6596483749273306318 ] 
dist 49=[-2.8539939612911433910 ,3.7109275780720816123 ] 
dist 50=[.0247679647166580995 ,.80644045511040967918] 
dist 51=[-3.0061906838431588837 ,3.7933948641719630718 ] 
dist 52=[.12888212721453475669,.60393134422446788505] 
dist 53=[-3.3876850553631188866 ,1.5156707590102414568 ] 
dist 54=[-.28317017510293458986,.33278444408433501611] 
dist 55=[-3.5928532842417303105 ,1.8234312123758599176 ] 
dist 56=[-.66734928811535011961,.2372213387062850663 ] 
dist 57=[-2.8546849704453737129 ,2.2099877192764206719 ] 
dist 58=[-1.8252129094241246699 ,.20999944698168155106] 
dist 59=[-2.8373469101611108703 ,2.8107999325008169044 ] 
dist 60=[-1.4300746251361114880 ,.21037436512026733538] 
dist 61=[-1.8638909648077508869 ,3.2293950773705118142 ] 
dist 62=[-.07820905121661802664,.21099151673066865726] 
dist 63=[-1.4957789932679666478 ,3.4563402579333427807 ] 
dist 64=[-.05594164304081307086,.26649559479656931043] 
dist 65=[-.9960023478156532513 ,.89271644646035627027] 
dist 66=[.00094970324418199500,.10428067590608181314] 
dist 67=[-.89312056621659504722,1.3622781168873221257 ] 
dist 68=[.01457506933098781132,6.5389099112047477932 ] 
dist 69=[-.37565177667804827082,1.9001035723716332438 ] 
dist 70=[-.03291745924372039561,6.5058590601147763278 ] 
dist 71=[-.13607721953351963317,2.1364058818126682583 ] 
dist 72=[-.05475035527535978214,6.3966296674012659757 ] 
dist 73=[-.05450180938284005392,2.1892449692905401875 ] 
dist 74=[-.05255507000570129944,3.4965833194616616854 ] 
dist 75=[-.04224310165320891047,2.1411947936517356603 ] 
dist 76=[-.03785379261427839728,3.2647843276866285249 ] 
dist 77=[-.04892428192296257130,2.2563158481537325392 ] 
dist 78=[-.00981686573033188466,3.6560570577866955279 ] 
dist 79=[-.12890399680321619458,2.3254562081628702105 ] 
dist 80=[-.78351123166628849217,3.5843446835564487077 ] 
dist 81=[-.27538815411660937455,2.2732259376308993952 ] 
dist 82=[-.77101895955411850044,.01229646938074947710] 
dist 83=[-.24242702298704593185,2.2439131518015083992 ] 
dist 84=[-4.7443823353058691994 ,.2698015409633298468 ] 
dist 85=[-1.1915270352337376982 ,1.1446344014715527237 ] 
dist 86=[-5.0213428829095827166 ,.5138683238932482253 ] 
dist 87=[-1.4203296679268438126 ,1.1363588452647379484 ] 
dist 88=[-5.5021080428653622818 ,.62220573088847270555] 
dist 89=[-1.6315123792617064121 ,.96047605520197457252] 
dist 90=[-3.0129548538250897245 ,9.07780136967985683160e-05] 
dist 91=[-1.6859107313947426872 ,.93009901984029087968] 
dist 92=[-5.4698902352560290078 ,1.8616087732879808645 ] 
dist 93=[-1.8183910555208035667 ,.2802760060628047331 ] 
dist 94=[-4.7617820017102062482 ,3.0398662219965141328 ] 
dist 95=[-1.9106840217340003057 ,.00400975590030123983] 
dist 96=[-4.5996910919111365821 ,3.7525709456138460911 ] 
dist 97=[-2.0283108056307708772 ,.00161686788134292503] 
dist 98=[-.00025702502717586379,1.8738405601509481937 ] 
dist 99=[-2.0638811108865818033 ,.00131188492008040196] 
dist 100=[-6.27946913553999068600e-05,3.6815883095065929174 ] 
dist 101=[-1.6821572148255166214 ,.42812346180621889197] 
dist 102=[-.00052207129906796615,4.5595201183978191625 ] 
dist 103=[-1.4717593393714421474 ,.79830755138264667667] 
dist 104=[-.55450697939483396198,4.7308262645924340500 ] 
dist 105=[-1.1741942029710277016 ,1.1901730738315986544 ] 
dist 106=[-.83968483190742205348,4.8763656008089839496 ] 
dist 107=[-26748.576552612834196     ,1.2902674563237940461 ] 
dist 108=[-1.0801357969827121058 ,4.8840165415676197274 ] 
dist 109=[-.29144794889659524495,1.5998484428910103710 ] 
dist 110=[-.00014967937088739337,5.1343669186176579434 ] 
dist 111=[-.21208611632260263937,1.6739807532375936821 ] 
dist 112=[-.84069050382239855641,5.0784490569884677231 ] 
dist 113=[-.11984680950427653371,1.7141358153712946042 ] 
dist 114=[-.41518852289766568793,1.2549640614335277842 ] 
dist 115=[-.08578388105994888640,1.7025485827208460459 ] 
dist 116=[-1.7850115750974119435 ,1.2465024863456229136 ] 
dist 117=[-2.62413313406760605800e-05,7.46950111849301613920e-05] 
dist 118=[-3.2635847175911002370 ,1.4890683891239480419 ] 
dist 119=[-.00010090694586223830,5.64905017097154526440e-05] 
dist 120=[-3.5085717262232788514 ,1.6194138537799031772 ] 
dist 121=[-.00010628226006136932,7.40166813747229261250e-06] 
dist 122=[-4.6286140691636499897 ,2.1740598494922073819 ] 
dist 123=[-7.75708239726660041160e-05,-1.53965062316425838250e-05] 
dist 124=[-4.9668083042604543370 ,2.1351644821977725546 ] 
dist 125=[-1.74147980653875206830e-05,2.24385681126097472090e-05] 
dist 126=[-5.1428346216350573844 ,.09851661932247579431] 
dist 127=[-1.25209989702694381440e-05,5.88208209595244041860e-05] 
dist 128=[-5.1244256705960684637 ,1.7787374313806562743 ] 
dist 129=[1.03975414745450648850e-06,2.43453975229152051310e-05] 
dist 130=[-1.8819906696038568945 ,1.8254337177988363867 ] 
dist 131=[7.25546741505832806900e-06,1.76201851717009044110e-05] 
dist 132=[-2.6425815485830769740 ,1.8557359454884927677 ] 
dist 133=[-2.38023022748151128640e-06,9.59226838098996776870e-06] 
dist 134=[-2.8459060699433388061 ,1.1886666839565893532 ] 
dist 135=[-1.17670279120928473580e-05,6.96107295432263103130e-06] 
dist 136=[-2.9006002980213457993 ,1.9549313235207308025 ] 
dist 137=[-1.23046262406509981240e-05,4.51242562667347844130e-07] 
dist 138=[-2.4921703803079271097 ,1.8684416751058098139 ] 
dist 139=[-9.53494870797525521380e-06,-2.00570739424407105870e-06] 
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