T464-before.json

back to table · edit · history · where entries came from · files · download

123567 bytes, as of the version from 2026-10-24 20:04 (current). Recorded here, not run.

{"Title": "Feynman periods of the primitive log-divergent $\\phi^4$ graphs", "Definition": "For a primitive log-divergent $\\phi^4$ graph $G$, the Feynman period is $P(G)=\\int_{(0,\\infty)^{N_G-1}}\\left.\\Psi_G^{-2}\\right|_{x_{N_G}=1}\\,dx_1\\cdots dx_{N_G-1}$ CITE{PS}. This is the normalisation with $P_{3,1}=6\\zeta(3)$.", "Parameters": {"loops": {"display": "$\\ell$", "title": "Loop order", "type": "Z", "constraints": "$\\ell\\geq1$ is the loop order of the uncompleted graph."}, "index": {"display": "$k$", "title": "Census index", "type": "Z", "constraints": "$k\\geq1$ is an index present at loop order $\\ell$ in Schnetz's census."}}, "Tags": ["period", "physics", "transcendental"], "References": {"PS": {"bib": "Erik Panzer and Oliver Schnetz, The Galois coaction on $\\phi^4$ periods, Communications in Number Theory and Physics 11 (2017), 657\u2013705.", "arxiv": "1603.04289", "doi": "10.4310/CNTP.2017.v11.n3.a3"}, "BS": {"bib": "Francis Brown and Oliver Schnetz, Single-valued multiple polylogarithms and a proof of the zig-zag conjecture, Journal of Number Theory 148 (2015), 478\u2013506.", "arxiv": "1208.1890", "doi": "10.1016/j.jnt.2014.09.007"}}, "Links": {"Data": {"title": "Panzer\u2013Schnetz ancillary file: Periods", "url": "https://arxiv.org/src/1603.04289v2/anc/Periods"}, "PARI": {"title": "PARI documentation: multiple polylogarithms", "url": "https://pari.math.u-bordeaux.fr/dochtml/html/Transcendental_functions.html#polylogmult"}}, "Data properties": {"type": "R", "complete": "no", "rigour": "heuristic (agreement-checked)", "digits": "100", "complete-note": "it holds all 852 entries with an evaluable expression in the version-2 ancillary census through eleven loops, including the exact one-loop period; these are the source\u2019s explicitly evaluated graphs, and all census labels are retained", "rigour details": "The attached generator parses the version-2 ancillary file CITE{Data}, pinned by SHA-256, and evaluates each of its 299 distinct expressions using PARI zetamult and polylogmult CITE{PARI} at 150 and 200 working decimal digits. All 852 census labels are retained. The one-loop integral is exactly 1; every other entry is written to 100 significant digits. The smallest measured agreement between working precisions is 147.72 significant digits. Every recomputed value agrees with the source decimal within 0.499 units of its last printed place.\n\nRational coefficients are exact. To avoid PARI rejecting a root of unity rounded just outside the unit disk, each nonreal root is approached from inside by a relative displacement of 16 binary units at the working precision. This displacement shrinks in the second computation; the resulting error claim is heuristic, not a certified enclosure of the graph integral.\n\nThe attached checks use nonzero controls for the multiple-zeta convention, alternating sums and sixth-root polylogarithms. They check every completion\u2019s degree, loop count and nontrivial edge cuts, identify the nine zig-zag completions as circulant graphs, and compare their periods with the zig-zag formula using independent Arb zeta evaluations. They also check the relation for the completed graph $K_{4,4}$ and all declared equalities. The same numerical checks are applied to values read back from the draft. The computation evaluates the source\u2019s formulas; it does not independently integrate all 852 graphs."}, "Display properties": {"number-header": "$P_{\\ell,k}$"}, "Numbers": {"1": {"1": {"number": "1", "comment": "The one-loop period is exactly $1$, since $\\int_0^\\infty (1+x)^{-2}\\,dx=1$."}}, "3": {"1": {"number": "7.212341418957565712398428969068699944589917754042993290753629332051029234717878541118735241656011549", "comment": "The wheel with three spokes has period $6\\zeta(3)$; its completion is $K_5$."}}, "4": {"1": "20.73855510286739852662730972914068336114161839003825623948385355807607179572562969120086213114266673"}, "5": {"1": "55.58525391567849582954383993547004637294247877615878369125273290350953149224423491095359541137605423"}, "6": {"1": "168.3374099947818120221992652310452261615817830343413111001642314728438889695634110236660356133644905", "2": "132.2435331106599532911895377706974446396400339725113552093427868101366762097601933904237556132148444", "3": "107.7110248410231180583722503561263587603598987578266720565794474901873518987992160820808774505448753", "4": "71.50608179656193002641539411089698478143109329211826553247240062436675412167508399642771996076380609"}, "7": {"1": "527.7450517669760781880817243095484153944325728868963235207046209578394531988766050710124691973809891", "2": "380.8878295341900847984585830831078412702630570893434483879072982479418073341519268734440951804095206", "3": "336.0670721108467360236940229108821051345490437057062089387806496422942362998827550174096090983607144", "4": "294.0353141852964238424980465745848549988891621270650576783364730744721065151666263135955366474079997", "5": "254.7630095958172824868903598894810828121238346719011924984897905955131567840471463905533204974813036", "6": "273.4825742584976819206301428976800769562808388412317070187975289769604112338032474363209813232727242", "7": {"number": "294.0353141852964238424980465745848549988891621270650576783364730744721065151666263135955366474079997", "equals": "HREF{#7,4}"}, "8": "183.0324200304989017170119123092288951484063911120159691631312951542424372471548436590605773016962163", "9": "216.9193755875438330514675513675736680028050131928873156158513091731920664797373687400492926075776002", "10": {"number": "254.7630095958172824868903598894810828121238346719011924984897905955131567840471463905533204974813036", "equals": "HREF{#7,5}"}, "11": "200.3575664292754469676345909901000737950363376631638406063975188978537920781316404289320172248664268"}, "8": {"1": "1716.210576104444687375826151479229291045696081716694894254581784501458783240012664038923897143808121", "2": "1145.592929599713130090219511911411448267325484966987091830717829045881549251298166500046596199840045", "3": "1105.107697390380571481750718398180520990357606630164969906863691080393088885859715568466805242627290", "4": "966.8308019861797060577711510960472003418160280528182909657418457194083989634621674211698586767987366", "5": "844.5125186033249391551602012080025663235677568424293073378251400712683200219181261845747194468507093", "6": "904.2808243578157996899656671139994051607494437202343474230631730723491404179423009925618140377085746", "7": "847.6461156397111251207670837670689902453735503393825637271084556248374782788666005729678024107691507", "8": {"number": "847.6461156397111251207670837670689902453735503393825637271084556248374782788666005729678024107691507", "equals": "HREF{#8,7}"}, "9": {"number": "904.2808243578157996899656671139994051607494437202343474230631730723491404179423009925618140377085746", "equals": "HREF{#8,6}"}, "10": "735.7641034682980549642713858006820306576874821086949067028760493025807628282160405507049179739600302", "11": "805.3473885075099739727415538185746087726949567579216701644803181268229282378132785018514020962671983", "12": "688.8983612960199708142608425087004241645878076060838230346406528073870470840754183872818805470518271", "13": "742.9770903664300002188614578326673385751282088052628089324441266088040245398648843715976386693655588", "14": "749.8186229956812217736182060128660712173130131258009834868211701392831566066139841555241716217257988", "15": {"number": "805.3473885075099739727415538185746087726949567579216701644803181268229282378132785018514020962671983", "equals": "HREF{#8,11}"}, "16": "633.4389145496823178678219700957963039453785996197679838312899327078674105086378127067211423128229185", "17": "589.3545104346694327066720075186179443939767234974940214844170099364716567105597506655601766605375850", "18": "641.7233582974217226531476315556340108583909248665495260338280841884983438913861462810457600701220101", "19": "598.6176907501957880831491838922227405778251308263097466704485970130748131212354747562848479177079046", "20": "641.3466996208366990680369537053461304570227885162204770580325857947593268016544605111353658231972142", "21": {"number": "742.9770903664300002188614578326673385751282088052628089324441266088040245398648843715976386693655588", "equals": "HREF{#8,13}"}, "22": {"number": "735.7641034682980549642713858006820306576874821086949067028760493025807628282160405507049179739600302", "equals": "HREF{#8,10}"}, "23": {"number": "589.3545104346694327066720075186179443939767234974940214844170099364716567105597506655601766605375850", "equals": "HREF{#8,17}"}, "24": "414.8739757227826753249599638601435919304156469062053418619242229318754721286995725398631195888808506", "25": {"number": "641.7233582974217226531476315556340108583909248665495260338280841884983438913861462810457600701220101", "equals": "HREF{#8,18}"}, "26": "500.4451522168274199439817404597915425327646511359569892712665968568167584894666339398386619564313894", "27": {"number": "598.6176907501957880831491838922227405778251308263097466704485970130748131212354747562848479177079046", "equals": "HREF{#8,19}"}, "28": {"number": "500.4451522168274199439817404597915425327646511359569892712665968568167584894666339398386619564313894", "equals": "HREF{#8,26}"}, "29": "553.2737946123595615783838778346382293655804335760081532437544517696097756320517417490654862183827582", "31": "460.0885382469178784340499342388281161611020551401644375902796027026761853387372443853020919470483634", "32": "470.7201255349266341730116527622521722939816239536112680414903904332287281945892074669657903302813201", "33": "468.0384989926273064971558626167955267868934217060796900029816742642386560470725882837049578333326579", "34": {"number": "470.7201255349266341730116527622521722939816239536112680414903904332287281945892074669657903302813201", "equals": "HREF{#8,32}"}}, "9": {"1": "5719.825832938927641832660374636609918538463236728558168112522790807077983871086049739079833168525281", "2": "3619.751093039732474155284588430971826239200369433264540170322191849439623480964325618574034681393348", "3": "3311.906323872714309018462110152284723196929797198046628008829182756919720382582543930981133597292717", "4": "2933.689352782508151399073473343808647121395993936881821895215404905939848048014985005598130352200934", "5": "2588.209695695248061858229420862193942671214335478973569691523944693927828319822613834705647169142649", "6": "2631.471115417906959910432192129564649923112485630470265079038075692137797079757480337718985585929869", "7": "2763.030811157260163366100259245807652422215015868087455911107993612807410487489193642023483140826602", "8": "2456.011422957318994363549593176856546641396345587414905215473223245136793952241183732457639255149113", "9": {"number": "2456.011422957318994363549593176856546641396345587414905215473223245136793952241183732457639255149113", "equals": "HREF{#9,8}"}, "10": {"number": "2631.471115417906959910432192129564649923112485630470265079038075692137797079757480337718985585929869", "equals": "HREF{#9,6}"}, "11": "2149.782567292816128388176645327866503019275932910802220563235743482788481992323932398140070314911580", "12": "2302.616629860738494199796173109908732014060933304729359995981905394999869830798651248513019763896987", "13": "2009.751778696508782168449772285384414428876522409159146724711678053737261639065974971882402946112107", "14": "2132.916142116134107214527460332361236435824399847667091563196344184023700917085541548489636489385448", "15": "2158.868393778857763694739850235251416290229704133154435151554503625071288095500297579519652038618031", "16": {"number": "2302.616629860738494199796173109908732014060933304729359995981905394999869830798651248513019763896987", "equals": "HREF{#9,12}"}, "17": "2572.249136201250713799685822270242503289615630740653397612896180440963505991325031560632035040429101", "18": "2274.359382501803965186991992898682050761123384401318962931654860293368248509740002954151266161369664", "19": "1966.114700194103239001629140125818727726411431190869402099670774485064508771381526299466567581246911", "20": "2124.408288179873053949273477793887911825275852462174218324357023044643623717271367734161525138023875", "21": {"number": "2124.408288179873053949273477793887911825275852462174218324357023044643623717271367734161525138023875", "equals": "HREF{#9,20}"}, "22": {"number": "2274.359382501803965186991992898682050761123384401318962931654860293368248509740002954151266161369664", "equals": "HREF{#9,18}"}, "23": "1830.009850396601992693984241067554743819180925735956063832771174793030773173206355727161607235406178", "24": {"number": "2124.408288179873053949273477793887911825275852462174218324357023044643623717271367734161525138023875", "equals": "HREF{#9,20}"}, "25": {"number": "1830.009850396601992693984241067554743819180925735956063832771174793030773173206355727161607235406178", "equals": "HREF{#9,23}"}, "26": {"number": "2274.359382501803965186991992898682050761123384401318962931654860293368248509740002954151266161369664", "equals": "HREF{#9,18}"}, "27": {"number": "1966.114700194103239001629140125818727726411431190869402099670774485064508771381526299466567581246911", "equals": "HREF{#9,19}"}, "28": {"number": "2572.249136201250713799685822270242503289615630740653397612896180440963505991325031560632035040429101", "equals": "HREF{#9,17}"}, "29": "2024.164223243966833326723140372495800745543937418585121332591299146658748704151552369458079535265582", "30": "1698.212514235212099264720668180748927335012163120846686658933080768845552306694939039502478548720118", "31": "1861.606680497207873453609345679883168832779530485214088702735489754200698274141503486590197977092797", "32": "1870.627073354638213384928345655719098844456788159897511067740937361070754987309260848740384079350733", "33": {"number": "1870.627073354638213384928345655719098844456788159897511067740937361070754987309260848740384079350733", "equals": "HREF{#9,32}"}, "34": {"number": "1861.606680497207873453609345679883168832779530485214088702735489754200698274141503486590197977092797", "equals": "HREF{#9,31}"}, "35": {"number": "2024.164223243966833326723140372495800745543937418585121332591299146658748704151552369458079535265582", "equals": "HREF{#9,29}"}, "36": "1752.408898835993987322392519622811596143740214459745149909203360599141113308858501230698339634442745", "37": "1894.233379467969840990777264522310714993868449811536867244264658872161175069946302883606553618973509", "38": "1834.641238173770781972132650701901864029414156337798059149456764909000311995107711364452850370506002", "39": "2051.571895525863715234522483757949607107770277420463506008047508807555455431040975612037675741376369", "40": "2019.607198793633248448469066081354000732064634235082141352672607031471635904505230892909243381948767", "41": "2052.088252957104395435412606352775072176049904606777353869135425159504120511771898884733648935517663", "42": "1625.857572492288917220677767368048882441270326420868624416187769997594613308432547636392267526188229", "43": "1582.832645117142702004621781065431715755905441845569390604663885604490658020123217916024724162051779", "44": "1745.193409005156881017148187487585914890956779098839077635137782885301586767789790368638867179903183", "45": "1619.593946330972017046235072281619067524975550741879193889049048275449754472581251847219109583318061", "46": "1750.030816059881531204737138760334025401620308515240635435340040033073419972541129257374683203020571", "47": "1721.126714006066136049899099453072978124508480337588844573010688575436668948175401199270437479786711", "48": "2247.313279898006574929840090545897196023334135201741129997557845724702686074595164824810282249098128", "49": "2177.933247483338816934354125332663459858981085549225322570934890541381001890299504473709384071336700", "50": {"number": "1745.193409005156881017148187487585914890956779098839077635137782885301586767789790368638867179903183", "equals": "HREF{#9,44}"}, "52": {"number": "2051.571895525863715234522483757949607107770277420463506008047508807555455431040975612037675741376369", "equals": "HREF{#9,39}"}, "54": {"number": "2019.607198793633248448469066081354000732064634235082141352672607031471635904505230892909243381948767", "equals": "HREF{#9,40}"}, "55": {"number": "2024.164223243966833326723140372495800745543937418585121332591299146658748704151552369458079535265582", "equals": "HREF{#9,29}"}, "56": {"number": "1625.857572492288917220677767368048882441270326420868624416187769997594613308432547636392267526188229", "equals": "HREF{#9,42}"}, "58": {"number": "2149.782567292816128388176645327866503019275932910802220563235743482788481992323932398140070314911580", "equals": "HREF{#9,11}"}, "59": {"number": "1582.832645117142702004621781065431715755905441845569390604663885604490658020123217916024724162051779", "equals": "HREF{#9,43}"}, "60": {"number": "1745.193409005156881017148187487585914890956779098839077635137782885301586767789790368638867179903183", "equals": "HREF{#9,44}"}, "62": {"number": "1619.593946330972017046235072281619067524975550741879193889049048275449754472581251847219109583318061", "equals": "HREF{#9,45}"}, "65": {"number": "1830.009850396601992693984241067554743819180925735956063832771174793030773173206355727161607235406178", "equals": "HREF{#9,23}"}, "66": {"number": "2132.916142116134107214527460332361236435824399847667091563196344184023700917085541548489636489385448", "equals": "HREF{#9,14}"}, "67": "1488.218371697741217579387192859478436626636039325181515457466859240505634433869018228134890864441561", "69": "1238.958365010244911339059330605850206998024018031490287575384387436570165448196468141905358798327605", "71": {"number": "1861.606680497207873453609345679883168832779530485214088702735489754200698274141503486590197977092797", "equals": "HREF{#9,31}"}, "72": "1562.127250868547443682474688537139789739464494980112400767165437562281454518824999187771840048504287", "73": "1435.860779495584724448852779117936139242442906820256686837821366235007796384314504810663879827213267", "74": "1605.304547791520435956701416295971216297359321278577053295134570973972284384601738995092152161108930", "75": {"number": "1752.408898835993987322392519622811596143740214459745149909203360599141113308858501230698339634442745", "equals": "HREF{#9,36}"}, "87": "1509.757448482941763270251961608596338704167421210889379117458177374339624936357536594421648819862982", "88": {"number": "1750.030816059881531204737138760334025401620308515240635435340040033073419972541129257374683203020571", "equals": "HREF{#9,46}"}, "90": {"number": "1625.857572492288917220677767368048882441270326420868624416187769997594613308432547636392267526188229", "equals": "HREF{#9,42}"}, "92": {"number": "1605.304547791520435956701416295971216297359321278577053295134570973972284384601738995092152161108930", "equals": "HREF{#9,74}"}, "108": "1074.773096415984967101015517191463571576305415523055254153651487384953286276539097165172475524934926", "109": "1057.275577334488460856971136729338366637373632427669329489099409593484430505289305445036598719021359", "110": {"number": "1057.275577334488460856971136729338366637373632427669329489099409593484430505289305445036598719021359", "equals": "HREF{#9,109}"}, "111": {"number": "1074.773096415984967101015517191463571576305415523055254153651487384953286276539097165172475524934926", "equals": "HREF{#9,108}"}, "112": {"number": "1509.757448482941763270251961608596338704167421210889379117458177374339624936357536594421648819862982", "equals": "HREF{#9,87}"}, "113": {"number": "1509.757448482941763270251961608596338704167421210889379117458177374339624936357536594421648819862982", "equals": "HREF{#9,87}"}, "134": "1189.402377090919078041134534708894251522757382233739995194384089452176390143651234349791106161633597", "136": "1183.350821661750256742169863719678392071684474900415408402091071141920529190818965074898821151933164", "148": "1170.673742709633638131271730389598223883117948517522078480851543770347473497927466141187367752479764", "149": {"number": "1183.350821661750256742169863719678392071684474900415408402091071141920529190818965074898821151933164", "equals": "HREF{#9,136}"}, "150": {"number": "1170.673742709633638131271730389598223883117948517522078480851543770347473497927466141187367752479764", "equals": "HREF{#9,148}"}, "156": "1216.295990822750490669541041441938524341810029539144660541500076133694980587733978365085662131636387", "159": {"number": "1189.402377090919078041134534708894251522757382233739995194384089452176390143651234349791106161633597", "equals": "HREF{#9,134}"}}, "10": {"1": "19448.14852821966187457669697850921379213614026830742858304694720558565239070941326928480565301075542", "2": "11795.40023080513061109609347582831406197471678238993780714216026648419991761365085215851037894011116", "3": "10464.76922351336642731527444825402107148172753701458095157062912333917118216255508490151159978069228", "4": "9300.764935848848285752382246721441110968293351769369157883769277805710146552522994143571936618454078", "5": "8236.687196758556059105546993632223907947152916118356570553993201068496545624170958461077554252879870", "6": "9861.593063523201885952337919078791495895866492629489337265162288340321767544076544730473157556553375", "7": "7944.083170121483578636537726001624458165891355027317767242987778393215588606678472823753643995169209", "8": "8362.489314896220526960184552718265425011509845663948142905096113971049941114044465874178572432318550", "9": "7463.545356142233133100248029004990437453453159951436443996237649577001113551762040401892400717957200", "10": {"number": "7463.545356142233133100248029004990437453453159951436443996237649577001113551762040401892400717957200", "equals": "HREF{#10,9}"}, "11": {"number": "7944.083170121483578636537726001624458165891355027317767242987778393215588606678472823753643995169209", "equals": "HREF{#10,7}"}, "12": "6545.967487268655467534202139522697173882834268711011439691544684659101279405563766514485467403476281", "13": "7051.035135807419558331099436864405439664800979131957544121035562504712381255072364273790736214122851", "14": "6184.581860226614823239840745446903401287961083003238387171550389291632335389621472183406124991181349", "15": "6531.328022605464392370254098240754693890793315796519648087929982287460652091085193889209794370849275", "16": "6628.379639377388055775103480757011076268710075721210697625309337132194009022903223891908955526168861", "17": {"number": "7051.035135807419558331099436864405439664800979131957544121035562504712381255072364273790736214122851", "equals": "HREF{#10,13}"}, "18": "7439.977763923949154293957862944378209749786408835771207952390453619883375136979736402167414339791934", "19": "7674.291291912732495542037755805101905555771359598804382710092373602360731339011849488423226036519776", "20": "6601.042322160614806535747144444582323305227532430682358111361171941021330380343158423127980250341217", "21": "5689.666997626656050274771955176076901530852097105589808030820832423163641849216095222978431977591383", "22": "6522.883238950246516740212818619062756347030159844980784338227563125705462593845349388581245053460704", "23": "7129.811439268720181674305184121036100120007245195518808768819317432978476969207092318058444669150155", "24": "6137.215979876343699593066703764789072263029780276849000112458936681252786795193612531036392523731825", "25": {"number": "6137.215979876343699593066703764789072263029780276849000112458936681252786795193612531036392523731825", "equals": "HREF{#10,24}"}, "26": {"number": "6522.883238950246516740212818619062756347030159844980784338227563125705462593845349388581245053460704", "equals": "HREF{#10,22}"}, "27": "5269.463250589353883286728114188612879257168514989986017586757101083604154103662425838816235690980839", "28": {"number": "7129.811439268720181674305184121036100120007245195518808768819317432978476969207092318058444669150155", "equals": "HREF{#10,23}"}, "29": {"number": "6137.215979876343699593066703764789072263029780276849000112458936681252786795193612531036392523731825", "equals": "HREF{#10,24}"}, "30": {"number": "6137.215979876343699593066703764789072263029780276849000112458936681252786795193612531036392523731825", "equals": "HREF{#10,24}"}, "31": {"number": "5269.463250589353883286728114188612879257168514989986017586757101083604154103662425838816235690980839", "equals": "HREF{#10,27}"}, "32": {"number": "6522.883238950246516740212818619062756347030159844980784338227563125705462593845349388581245053460704", "equals": "HREF{#10,22}"}, "33": {"number": "7674.291291912732495542037755805101905555771359598804382710092373602360731339011849488423226036519776", "equals": "HREF{#10,19}"}, "34": {"number": "6601.042322160614806535747144444582323305227532430682358111361171941021330380343158423127980250341217", "equals": "HREF{#10,20}"}, "35": {"number": "6601.042322160614806535747144444582323305227532430682358111361171941021330380343158423127980250341217", "equals": "HREF{#10,20}"}, "36": {"number": "5689.666997626656050274771955176076901530852097105589808030820832423163641849216095222978431977591383", "equals": "HREF{#10,21}"}, "37": {"number": "7439.977763923949154293957862944378209749786408835771207952390453619883375136979736402167414339791934", "equals": "HREF{#10,18}"}, "38": "5926.356615066888756624820410299090902707369791234015837042320509690779232969824314902448798980433349", "39": "4933.136852755468774847074560093441882669923966469743942933211710234597318239303530871097127284960338", "40": "5437.651405280286889584018745391898978845387056612825501788682763189475746724453462487943364498019765", "41": "5465.974822712942853928169921422363517200942358551426364077390364143533453699458498928314510871185371", "42": {"number": "5465.974822712942853928169921422363517200942358551426364077390364143533453699458498928314510871185371", "equals": "HREF{#10,41}"}, "43": {"number": "5437.651405280286889584018745391898978845387056612825501788682763189475746724453462487943364498019765", "equals": "HREF{#10,40}"}, "44": {"number": "5926.356615066888756624820410299090902707369791234015837042320509690779232969824314902448798980433349", "equals": "HREF{#10,38}"}, "45": "6630.430271028479383369407423963092327618335539776055945410660371996602969467410102949735612362121192", "46": "5747.953243836155820557017017024792768054350994877091436468037781710079619118207124905541985931868387", "48": "5547.999434503603810541636986976041393918071779130739091280483495324049718969926731517299426975685935", "49": "5318.612482163966365533851660189550840970764662211827699417681613209835427811783913005929072063272104", "50": "5879.371836852484066291957162430761083386722127514021568763675540891020315415787188566077445659101992", "52": "5757.773016333367761837921187090436544360915071716385404372477787533057852574472550021180226636798233", "53": "5966.186105443085179457267961996945416873235499743805925742595906201181892740069300624683337876956958", "54": "4714.104800403671835313728973856276361408450043041966042213353424080503721425644469723123264866959228", "55": "4549.535696250200923388019727765993616384147417150958497053086281828847094710132514271816754326867837", "56": "5046.460689380056242329146338326826012511952973688686412843213158267030186065508263526548080279587042", "57": "4723.575723813146887382566243050813592502400934733548732800158068583649296615346305826936604417612633", "58": "5115.155246243528798414239394632853814435659645417272244692203427174717185489598163911986456355054864", "59": "5004.027617297933628916568784304925450167373289888770890183279904756086134734537620528467971767494744", "60": "6431.878136806442204185847008863252037016860122638511116396658784151137349227785202588405857356355014", "61": "6169.193505187776893552504794117307464482471880575695623897717944806533073081512987750418688635146357", "62": {"number": "5046.460689380056242329146338326826012511952973688686412843213158267030186065508263526548080279587042", "equals": "HREF{#10,56}"}, "64": {"number": "5879.371836852484066291957162430761083386722127514021568763675540891020315415787188566077445659101992", "equals": "HREF{#10,50}"}, "66": {"number": "5757.773016333367761837921187090436544360915071716385404372477787533057852574472550021180226636798233", "equals": "HREF{#10,52}"}, "67": {"number": "5747.953243836155820557017017024792768054350994877091436468037781710079619118207124905541985931868387", "equals": "HREF{#10,46}"}, "68": {"number": "4714.104800403671835313728973856276361408450043041966042213353424080503721425644469723123264866959228", "equals": "HREF{#10,54}"}, "70": {"number": "6545.967487268655467534202139522697173882834268711011439691544684659101279405563766514485467403476281", "equals": "HREF{#10,12}"}, "71": {"number": "4549.535696250200923388019727765993616384147417150958497053086281828847094710132514271816754326867837", "equals": "HREF{#10,55}"}, "72": {"number": "5046.460689380056242329146338326826012511952973688686412843213158267030186065508263526548080279587042", "equals": "HREF{#10,56}"}, "74": {"number": "4723.575723813146887382566243050813592502400934733548732800158068583649296615346305826936604417612633", "equals": "HREF{#10,57}"}, "77": {"number": "5269.463250589353883286728114188612879257168514989986017586757101083604154103662425838816235690980839", "equals": "HREF{#10,27}"}, "78": {"number": "6531.328022605464392370254098240754693890793315796519648087929982287460652091085193889209794370849275", "equals": "HREF{#10,15}"}, "83": {"number": "5437.651405280286889584018745391898978845387056612825501788682763189475746724453462487943364498019765", "equals": "HREF{#10,40}"}, "84": "7832.951614712532644742730326719707797412334068984056828491114815321807868490989568763727230895353608", "85": "6556.936442023629224673016112375169529451824938003434188130060867916991376580406319154907443158101136", "86": {"number": "6556.936442023629224673016112375169529451824938003434188130060867916991376580406319154907443158101136", "equals": "HREF{#10,85}"}, "87": {"number": "7832.951614712532644742730326719707797412334068984056828491114815321807868490989568763727230895353608", "equals": "HREF{#10,84}"}, "88": "5754.741507280254998902599181734590913968269275592610076792786633407451003536772280969983700382284117", "89": "6215.280016836833567649187073432464897876221686937507883021710989382023432232908350580998877539593028", "90": "5763.176131092073746665682268615198282861588098155901290897055924893019311160984376002652663718402832", "91": {"number": "5763.176131092073746665682268615198282861588098155901290897055924893019311160984376002652663718402832", "equals": "HREF{#10,90}"}, "92": {"number": "6215.280016836833567649187073432464897876221686937507883021710989382023432232908350580998877539593028", "equals": "HREF{#10,89}"}, "93": "5028.711379350078838793231063602973075704048024851830660385078637837182403730999112365973136505270457", "94": "5368.931910555294328411186409739599417521592363223149029297278773337257920995870096013533697535946924", "95": "4649.274550732620074621172532490056683770456563378645208224252762736384880068022491827071288795209950", "96": "4970.505876344364621378977843146594006406508741189795477465449205817723989779471109587545827859076729", "97": "5015.132804439845320536272472029871829361534222343866577018606766593190878415775934211916709804140725", "98": {"number": "5368.931910555294328411186409739599417521592363223149029297278773337257920995870096013533697535946924", "equals": "HREF{#10,94}"}, "99": "5742.863220457599399643313079414901026436517709958398027356795184626352157615951418441413790096095377", "100": {"number": "5742.863220457599399643313079414901026436517709958398027356795184626352157615951418441413790096095377", "equals": "HREF{#10,99}"}, "101": "4986.563421536240700942797810303251786401733817573744676665158898821820250529622652162081170073511936", "102": "5345.223366330868720072397896601076218587462595582795720737524401619090290462939364576375397518218667", "103": {"number": "5345.223366330868720072397896601076218587462595582795720737524401619090290462939364576375397518218667", "equals": "HREF{#10,102}"}, "104": {"number": "5763.176131092073746665682268615198282861588098155901290897055924893019311160984376002652663718402832", "equals": "HREF{#10,90}"}, "105": "4624.972879289639808114538506144216324837757246901069715132555003858227654597195434649028246653084827", "106": {"number": "5345.223366330868720072397896601076218587462595582795720737524401619090290462939364576375397518218667", "equals": "HREF{#10,102}"}, "107": {"number": "5345.223366330868720072397896601076218587462595582795720737524401619090290462939364576375397518218667", "equals": "HREF{#10,102}"}, "108": {"number": "4624.972879289639808114538506144216324837757246901069715132555003858227654597195434649028246653084827", "equals": "HREF{#10,105}"}, "109": {"number": "5763.176131092073746665682268615198282861588098155901290897055924893019311160984376002652663718402832", "equals": "HREF{#10,90}"}, "110": {"number": "5742.863220457599399643313079414901026436517709958398027356795184626352157615951418441413790096095377", "equals": "HREF{#10,99}"}, "111": {"number": "5742.863220457599399643313079414901026436517709958398027356795184626352157615951418441413790096095377", "equals": "HREF{#10,99}"}, "112": {"number": "4986.563421536240700942797810303251786401733817573744676665158898821820250529622652162081170073511936", "equals": "HREF{#10,101}"}, "113": {"number": "6556.936442023629224673016112375169529451824938003434188130060867916991376580406319154907443158101136", "equals": "HREF{#10,85}"}, "114": "5021.006772221811251137675592795972899339462714822946358369461842868481798667607865348691390086856276", "115": "4258.107089821357978363585589625894556463762675049369147718741177628158958875141633378505412411199012", "116": "4630.911462676559631638968949898029516506339821674990357194654224130413276513255640864982258926418654", "117": "4654.475435246121679740790453080429321281183015521786743619321249737210856561600079448634708801060312", "118": {"number": "4654.475435246121679740790453080429321281183015521786743619321249737210856561600079448634708801060312", "equals": "HREF{#10,117}"}, "119": {"number": "4630.911462676559631638968949898029516506339821674990357194654224130413276513255640864982258926418654", "equals": "HREF{#10,116}"}, "120": {"number": "5021.006772221811251137675592795972899339462714822946358369461842868481798667607865348691390086856276", "equals": "HREF{#10,114}"}, "121": {"number": "5345.223366330868720072397896601076218587462595582795720737524401619090290462939364576375397518218667", "equals": "HREF{#10,102}"}, "122": {"number": "5763.176131092073746665682268615198282861588098155901290897055924893019311160984376002652663718402832", "equals": "HREF{#10,90}"}, "123": {"number": "4624.972879289639808114538506144216324837757246901069715132555003858227654597195434649028246653084827", "equals": "HREF{#10,105}"}, "124": {"number": "4624.972879289639808114538506144216324837757246901069715132555003858227654597195434649028246653084827", "equals": "HREF{#10,105}"}, "125": {"number": "5345.223366330868720072397896601076218587462595582795720737524401619090290462939364576375397518218667", "equals": "HREF{#10,102}"}, "126": {"number": "5763.176131092073746665682268615198282861588098155901290897055924893019311160984376002652663718402832", "equals": "HREF{#10,90}"}, "127": {"number": "5021.006772221811251137675592795972899339462714822946358369461842868481798667607865348691390086856276", "equals": "HREF{#10,114}"}, "128": {"number": "4630.911462676559631638968949898029516506339821674990357194654224130413276513255640864982258926418654", "equals": "HREF{#10,116}"}, "129": {"number": "4258.107089821357978363585589625894556463762675049369147718741177628158958875141633378505412411199012", "equals": "HREF{#10,115}"}, "130": {"number": "4654.475435246121679740790453080429321281183015521786743619321249737210856561600079448634708801060312", "equals": "HREF{#10,117}"}, "131": {"number": "4654.475435246121679740790453080429321281183015521786743619321249737210856561600079448634708801060312", "equals": "HREF{#10,117}"}, "132": {"number": "5021.006772221811251137675592795972899339462714822946358369461842868481798667607865348691390086856276", "equals": "HREF{#10,114}"}, "133": {"number": "4630.911462676559631638968949898029516506339821674990357194654224130413276513255640864982258926418654", "equals": "HREF{#10,116}"}, "134": {"number": "5742.863220457599399643313079414901026436517709958398027356795184626352157615951418441413790096095377", "equals": "HREF{#10,99}"}, "135": {"number": "4986.563421536240700942797810303251786401733817573744676665158898821820250529622652162081170073511936", "equals": "HREF{#10,101}"}, "136": {"number": "6556.936442023629224673016112375169529451824938003434188130060867916991376580406319154907443158101136", "equals": "HREF{#10,85}"}, "137": {"number": "6215.280016836833567649187073432464897876221686937507883021710989382023432232908350580998877539593028", "equals": "HREF{#10,89}"}, "138": {"number": "5028.711379350078838793231063602973075704048024851830660385078637837182403730999112365973136505270457", "equals": "HREF{#10,93}"}, "139": {"number": "5028.711379350078838793231063602973075704048024851830660385078637837182403730999112365973136505270457", "equals": "HREF{#10,93}"}, "140": {"number": "6215.280016836833567649187073432464897876221686937507883021710989382023432232908350580998877539593028", "equals": "HREF{#10,89}"}, "141": {"number": "5368.931910555294328411186409739599417521592363223149029297278773337257920995870096013533697535946924", "equals": "HREF{#10,94}"}, "142": {"number": "4970.505876344364621378977843146594006406508741189795477465449205817723989779471109587545827859076729", "equals": "HREF{#10,96}"}, "143": {"number": "4649.274550732620074621172532490056683770456563378645208224252762736384880068022491827071288795209950", "equals": "HREF{#10,95}"}, "144": {"number": "5015.132804439845320536272472029871829361534222343866577018606766593190878415775934211916709804140725", "equals": "HREF{#10,97}"}, "145": {"number": "5015.132804439845320536272472029871829361534222343866577018606766593190878415775934211916709804140725", "equals": "HREF{#10,97}"}, "146": {"number": "5368.931910555294328411186409739599417521592363223149029297278773337257920995870096013533697535946924", "equals": "HREF{#10,94}"}, "147": {"number": "4970.505876344364621378977843146594006406508741189795477465449205817723989779471109587545827859076729", "equals": "HREF{#10,96}"}, "148": {"number": "5754.741507280254998902599181734590913968269275592610076792786633407451003536772280969983700382284117", "equals": "HREF{#10,88}"}, "149": {"number": "7832.951614712532644742730326719707797412334068984056828491114815321807868490989568763727230895353608", "equals": "HREF{#10,84}"}, "150": "5121.086390830095957464684321158666798731499484798274311164489077489319724745432576966565615554490544", "151": {"number": "5121.086390830095957464684321158666798731499484798274311164489077489319724745432576966565615554490544", "equals": "HREF{#10,150}"}, "153": "4639.584576090579056293509397452063723265607127624634642978340194279806976870333989443893688485502420", "154": "4561.972189092825974197988586549556917856415201283958925851021625443286903664574259968536440879945489", "155": "5138.803986036439299687630128600416141047356430745767336238299708687381651291002303948704831903659326", "157": "5096.759089763521564136467464603387840893230468326853260806257718102355721258247520914949279409003475", "158": "5069.038638830355870982955091088929779389498513669247134809889384719398280615616932677222150370614391", "159": "4023.040333785369305277437673415498930274042829301982885556184188931072256863697377339965348732993432", "160": "3966.705427178061718297225570756146647849521235544599552739701508220690634265116840136837611266762128", "161": "4339.055882354388170673520089918889495652144907585661405364819910519989194580054352340948878937776595", "162": "3993.691716015406018629896921240211015302774372362661931966643081833835745900358728250326356013288501", "163": "4300.261955726054324308662106738432808842274602061941833945720495126922052595208494040827343911639467", "164": "4262.579751148993209837489795436081712607435142132741872408500344880570927590436362606581260165672607", "165": {"number": "5096.759089763521564136467464603387840893230468326853260806257718102355721258247520914949279409003475", "equals": "HREF{#10,157}"}, "166": {"number": "5069.038638830355870982955091088929779389498513669247134809889384719398280615616932677222150370614391", "equals": "HREF{#10,158}"}, "169": {"number": "3966.705427178061718297225570756146647849521235544599552739701508220690634265116840136837611266762128", "equals": "HREF{#10,160}"}, "170": {"number": "4023.040333785369305277437673415498930274042829301982885556184188931072256863697377339965348732993432", "equals": "HREF{#10,159}"}, "171": {"number": "4339.055882354388170673520089918889495652144907585661405364819910519989194580054352340948878937776595", "equals": "HREF{#10,161}"}, "172": {"number": "3993.691716015406018629896921240211015302774372362661931966643081833835745900358728250326356013288501", "equals": "HREF{#10,162}"}, "174": {"number": "4300.261955726054324308662106738432808842274602061941833945720495126922052595208494040827343911639467", "equals": "HREF{#10,163}"}, "175": "5629.158205166395676568196190591351190375845480388805048035073568501838652318528960930557884421893234", "176": "5537.539169381845140616819397758350980227885913047155465126718562317581000693981971376221697511554445", "177": {"number": "4339.055882354388170673520089918889495652144907585661405364819910519989194580054352340948878937776595", "equals": "HREF{#10,161}"}, "179": {"number": "5138.803986036439299687630128600416141047356430745767336238299708687381651291002303948704831903659326", "equals": "HREF{#10,155}"}, "181": {"number": "5096.759089763521564136467464603387840893230468326853260806257718102355721258247520914949279409003475", "equals": "HREF{#10,157}"}, "182": {"number": "5121.086390830095957464684321158666798731499484798274311164489077489319724745432576966565615554490544", "equals": "HREF{#10,150}"}, "183": {"number": "4339.055882354388170673520089918889495652144907585661405364819910519989194580054352340948878937776595", "equals": "HREF{#10,161}"}, "185": {"number": "5096.759089763521564136467464603387840893230468326853260806257718102355721258247520914949279409003475", "equals": "HREF{#10,157}"}, "187": {"number": "5138.803986036439299687630128600416141047356430745767336238299708687381651291002303948704831903659326", "equals": "HREF{#10,155}"}, "188": {"number": "5121.086390830095957464684321158666798731499484798274311164489077489319724745432576966565615554490544", "equals": "HREF{#10,150}"}, "189": {"number": "4023.040333785369305277437673415498930274042829301982885556184188931072256863697377339965348732993432", "equals": "HREF{#10,159}"}, "191": {"number": "5028.711379350078838793231063602973075704048024851830660385078637837182403730999112365973136505270457", "equals": "HREF{#10,93}"}, "192": {"number": "3966.705427178061718297225570756146647849521235544599552739701508220690634265116840136837611266762128", "equals": "HREF{#10,160}"}, "193": {"number": "4339.055882354388170673520089918889495652144907585661405364819910519989194580054352340948878937776595", "equals": "HREF{#10,161}"}, "194": {"number": "4339.055882354388170673520089918889495652144907585661405364819910519989194580054352340948878937776595", "equals": "HREF{#10,161}"}, "195": {"number": "4023.040333785369305277437673415498930274042829301982885556184188931072256863697377339965348732993432", "equals": "HREF{#10,159}"}, "197": {"number": "3993.691716015406018629896921240211015302774372362661931966643081833835745900358728250326356013288501", "equals": "HREF{#10,162}"}, "199": {"number": "3966.705427178061718297225570756146647849521235544599552739701508220690634265116840136837611266762128", "equals": "HREF{#10,160}"}, "201": {"number": "4624.972879289639808114538506144216324837757246901069715132555003858227654597195434649028246653084827", "equals": "HREF{#10,105}"}, "202": {"number": "4970.505876344364621378977843146594006406508741189795477465449205817723989779471109587545827859076729", "equals": "HREF{#10,96}"}, "209": {"number": "4630.911462676559631638968949898029516506339821674990357194654224130413276513255640864982258926418654", "equals": "HREF{#10,116}"}, "210": "4273.323070409659112970615545108869602837297789117886136965108000877827474541454686352537175530114026", "211": "4858.043342930693433300167080162964180172021626480092656286553129085348341360544975354782032930421515", "212": "3950.198352532201303701211368868919186214388873962086627609500731709474694525867348702297578299258693", "214": {"number": "4858.043342930693433300167080162964180172021626480092656286553129085348341360544975354782032930421515", "equals": "HREF{#10,211}"}, "215": "3895.210370117757597760747472274853709715158223072344947840976760276812361312346940544748492806041020", "253": {"number": "4858.043342930693433300167080162964180172021626480092656286553129085348341360544975354782032930421515", "equals": "HREF{#10,211}"}, "269": {"number": "5537.539169381845140616819397758350980227885913047155465126718562317581000693981971376221697511554445", "equals": "HREF{#10,176}"}, "270": {"number": "5629.158205166395676568196190591351190375845480388805048035073568501838652318528960930557884421893234", "equals": "HREF{#10,175}"}, "279": {"number": "5879.371836852484066291957162430761083386722127514021568763675540891020315415787188566077445659101992", "equals": "HREF{#10,50}"}, "282": {"number": "5926.356615066888756624820410299090902707369791234015837042320509690779232969824314902448798980433349", "equals": "HREF{#10,38}"}, "339": {"number": "5021.006772221811251137675592795972899339462714822946358369461842868481798667607865348691390086856276", "equals": "HREF{#10,114}"}, "358": {"number": "5115.155246243528798414239394632853814435659645417272244692203427174717185489598163911986456355054864", "equals": "HREF{#10,58}"}, "386": {"number": "4300.261955726054324308662106738432808842274602061941833945720495126922052595208494040827343911639467", "equals": "HREF{#10,163}"}, "415": "4351.539450771280376892160358708448544611514050437405391419493174626094337899169892707960804284851612", "416": "4022.003057703045619152296224928008056349468889216604867465206699215070903928277064306351559861705630", "417": {"number": "4022.003057703045619152296224928008056349468889216604867465206699215070903928277064306351559861705630", "equals": "HREF{#10,416}"}, "418": {"number": "4351.539450771280376892160358708448544611514050437405391419493174626094337899169892707960804284851612", "equals": "HREF{#10,415}"}, "419": "3668.156279987136303472533111932754650612958237592388542880353544912188710083519639160982536173041980", "424": {"number": "4273.323070409659112970615545108869602837297789117886136965108000877827474541454686352537175530114026", "equals": "HREF{#10,210}"}, "427": "3707.603868762463409683661753872092178904551654308351215906070057804599593627090682056604069228025466", "428": "3378.601481387802870356625393576989509795701211249574729629708747838911445981321825227569093615689437", "430": {"number": "3707.603868762463409683661753872092178904551654308351215906070057804599593627090682056604069228025466", "equals": "HREF{#10,427}"}, "436": {"number": "4022.003057703045619152296224928008056349468889216604867465206699215070903928277064306351559861705630", "equals": "HREF{#10,416}"}, "437": {"number": "3707.603868762463409683661753872092178904551654308351215906070057804599593627090682056604069228025466", "equals": "HREF{#10,427}"}, "439": {"number": "3378.601481387802870356625393576989509795701211249574729629708747838911445981321825227569093615689437", "equals": "HREF{#10,428}"}, "445": "3308.738420042196157290905669632392634724838063251180058044074915970204288380397771182338262280533453", "447": {"number": "3950.198352532201303701211368868919186214388873962086627609500731709474694525867348702297578299258693", "equals": "HREF{#10,212}"}, "515": {"number": "4858.043342930693433300167080162964180172021626480092656286553129085348341360544975354782032930421515", "equals": "HREF{#10,211}"}, "595": {"number": "3707.603868762463409683661753872092178904551654308351215906070057804599593627090682056604069228025466", "equals": "HREF{#10,427}"}, "783": {"number": "4022.003057703045619152296224928008056349468889216604867465206699215070903928277064306351559861705630", "equals": "HREF{#10,416}"}, "785": {"number": "3378.601481387802870356625393576989509795701211249574729629708747838911445981321825227569093615689437", "equals": "HREF{#10,428}"}, "861": "3005.259704326807154845566751635975608881141454567548078258706872803186579811391261753211436850268460", "867": {"number": "3005.259704326807154845566751635975608881141454567548078258706872803186579811391261753211436850268460", "equals": "HREF{#10,861}"}, "1023": "3292.685737963312194512121094850249559512291521009330883070693286225776131680316273640919102534940253", "1024": "3022.613332157960361387125093426328481831882546853544543160954717679768678004402773259624521058556514"}, "11": {"1": "67183.87191425300582037904662337858239659084787133754866698574754931145879542864974799693310040581459", "2": "39403.32784627375679020750381376169963119041008278583810645109371641410926391502965966735193447799436", "3": "34081.68841289893898657101387253543694834079351043651688978267954877294748638780173194033216880660078", "4": "30401.87295944259561580924344107155669237265777279785463857065625414065019374962113808091426620635870", "5": "27018.85956914305598687019209956376662140856421680552360959970717356526847072935359928496257081745055", "6": "31060.88257964264366492651073304358173160694839683616998729443891059301191377517231818906622681121427", "7": "25187.36019869206723656974362046707551925789966491614959926312023212118144142257854126296218460615992", "8": "26453.24172798400959291472778574735057918873929518730640343516245825706802737317953093981941947940884", "9": "23706.75309234105939050509992056411003721815728737946281838140144856219257935121290830249063594806062", "10": {"number": "23706.75309234105939050509992056411003721815728737946281838140144856219257935121290830249063594806062", "equals": "HREF{#11,9}"}, "11": {"number": "25187.36019869206723656974362046707551925789966491614959926312023212118144142257854126296218460615992", "equals": "HREF{#11,7}"}, "12": "20841.14291148468273895768309163876255622277642086190748110889882324319734494198761119535569706258502", "13": "22415.93990925222443885942943291876493193650599632574574445503066464145673401653917173299845435375801", "14": "19769.34625056798284630044824776312145288446782418833864432510430941652839123491670151619690730751947", "16": "21121.10951102874496696348813213663205599092232109914419414630498992395564970014772894132910019279162", "17": {"number": "22415.93990925222443885942943291876493193650599632574574445503066464145673401653917173299845435375801", "equals": "HREF{#11,13}"}, "18": "22244.90501680403480809333770799261018940059768125706615331761002569401907957273156610169652780577230", "19": "23199.78602798378654247690172619756435486681371642411441212429854627320614211536233094972395708095038", "20": "19880.04621656104600062272836201135466513144816299315161614740115807828999908392518493899161899370069", "21": "17089.97738264307152171948759593739162711798472188245224377491927377333670228306873993850435156438471", "22": "25322.46847480140630581408243181479840571983750919977803809663683468135373618167228435774871714414566", "23": "19738.11423164348792551909176818614084753579496636101634975939347818536767637774560929750789459191558", "24": "21707.81654967625664030904140707619960138613322974286273468436539470140685470454826943522217408178676", "25": "18610.38911057140936976266335279777724221825413130374835210283557458231601888952582651017208850820059", "26": {"number": "18610.38911057140936976266335279777724221825413130374835210283557458231601888952582651017208850820059", "equals": "HREF{#11,25}"}, "27": {"number": "19738.11423164348792551909176818614084753579496636101634975939347818536767637774560929750789459191558", "equals": "HREF{#11,23}"}, "28": "15940.41642627497019864471576196529488952989314631584612486139178517439463785230560752190412131928996", "29": {"number": "21707.81654967625664030904140707619960138613322974286273468436539470140685470454826943522217408178676", "equals": "HREF{#11,24}"}, "30": {"number": "18610.38911057140936976266335279777724221825413130374835210283557458231601888952582651017208850820059", "equals": "HREF{#11,25}"}, "31": {"number": "18610.38911057140936976266335279777724221825413130374835210283557458231601888952582651017208850820059", "equals": "HREF{#11,25}"}, "32": {"number": "15940.41642627497019864471576196529488952989314631584612486139178517439463785230560752190412131928996", "equals": "HREF{#11,28}"}, "33": {"number": "19738.11423164348792551909176818614084753579496636101634975939347818536767637774560929750789459191558", "equals": "HREF{#11,23}"}, "34": {"number": "23199.78602798378654247690172619756435486681371642411441212429854627320614211536233094972395708095038", "equals": "HREF{#11,19}"}, "35": {"number": "19880.04621656104600062272836201135466513144816299315161614740115807828999908392518493899161899370069", "equals": "HREF{#11,20}"}, "36": {"number": "19880.04621656104600062272836201135466513144816299315161614740115807828999908392518493899161899370069", "equals": "HREF{#11,20}"}, "37": {"number": "17089.97738264307152171948759593739162711798472188245224377491927377333670228306873993850435156438471", "equals": "HREF{#11,21}"}, "38": {"number": "22244.90501680403480809333770799261018940059768125706615331761002569401907957273156610169652780577230", "equals": "HREF{#11,18}"}, "39": "18074.36558118161791195053784325523056507037425504774782183695581089815674690874973200074212498983793", "40": "14951.81363866767957751496923851974622928772403007547283236120729257764798421487749477187565810997242", "42": "16637.60808443474980332262974710682090824614427926769712509886673140266607348870510408844673411837798", "43": {"number": "16637.60808443474980332262974710682090824614427926769712509886673140266607348870510408844673411837798", "equals": "HREF{#11,42}"}, "45": {"number": "18074.36558118161791195053784325523056507037425504774782183695581089815674690874973200074212498983793", "equals": "HREF{#11,39}"}, "47": "17572.70803812005621172351550799202162720641795229841160955189981049667737979016731888558093098275452", "49": "17148.18528730108050878533302411647031892882489061940108506081087033325612184458244965855772912169875", "50": "16286.06777946334170586095659098503061290839287764955319307663929632560239821777221134106354813089132", "51": "18045.59507850249387063824041286964139446309334675336675809489806518725769844768267728907431980637688", "52": "17912.05727421968166578144584388633879437276659264033523866425592034166085413846731095952777344806006", "53": "17590.34837548292403822712296622170058781539954045334652329821685893317148090120902440943566723329300", "55": "14526.14005111795657854852536016490148667426874371803653205756305258050330303151147112726263082077585", "56": "13908.93825778289186139190809762151041197214124760289564507987671630336100527670199735075811724383900", "58": "14538.08521704116625925735691332548271867399492701106803138506948788128306880999198904752224875126063", "61": "19771.10817772824344300651090268042486006404118391470891716255927534003496186370300448711856077767737", "62": "18789.08460721392678971283899939904191972763668591012550486706174195754115399433467324897148256730854", "65": {"number": "18045.59507850249387063824041286964139446309334675336675809489806518725769844768267728907431980637688", "equals": "HREF{#11,51}"}, "67": {"number": "17590.34837548292403822712296622170058781539954045334652329821685893317148090120902440943566723329300", "equals": "HREF{#11,53}"}, "68": {"number": "17572.70803812005621172351550799202162720641795229841160955189981049667737979016731888558093098275452", "equals": "HREF{#11,47}"}, "69": {"number": "14526.14005111795657854852536016490148667426874371803653205756305258050330303151147112726263082077585", "equals": "HREF{#11,55}"}, "71": {"number": "20841.14291148468273895768309163876255622277642086190748110889882324319734494198761119535569706258502", "equals": "HREF{#11,12}"}, "72": {"number": "13908.93825778289186139190809762151041197214124760289564507987671630336100527670199735075811724383900", "equals": "HREF{#11,56}"}, "75": {"number": "14538.08521704116625925735691332548271867399492701106803138506948788128306880999198904752224875126063", "equals": "HREF{#11,58}"}, "78": {"number": "15940.41642627497019864471576196529488952989314631584612486139178517439463785230560752190412131928996", "equals": "HREF{#11,28}"}, "85": "22658.94579841051877241807324210289956674931105480702470275297296107952381171590017399444899277470108", "86": "21509.54340355622680832863677174136338906356936765902601383593593089081691898919848902040009727284148", "87": "18973.03671170449699330307466674178368404662707249726214658284229633073268836777883152898812556367297", "88": {"number": "18973.03671170449699330307466674178368404662707249726214658284229633073268836777883152898812556367297", "equals": "HREF{#11,87}"}, "89": {"number": "22658.94579841051877241807324210289956674931105480702470275297296107952381171590017399444899277470108", "equals": "HREF{#11,85}"}, "90": "16659.80563590923513234860064386942661582720085774963927389784111660523883238764516792499937660322271", "91": "18095.25190346569064631618126709521357071381675860753185810543520170157694443320563746777513021558342", "92": "18927.75244342021517456534269694145366843722294716718247503665084977383623761039446057846079664109638", "93": "16736.74830606135279697484665516383892677362097218803413713320592910755404402273906077515883666186418", "94": {"number": "16736.74830606135279697484665516383892677362097218803413713320592910755404402273906077515883666186418", "equals": "HREF{#11,93}"}, "95": {"number": "18095.25190346569064631618126709521357071381675860753185810543520170157694443320563746777513021558342", "equals": "HREF{#11,91}"}, "96": "14613.39969466098102072960477806023299981056367625919788708280488786302815642305487741601636438386927", "97": "15531.82021589363424797087001796832199320817880424929188102109031180864395330784274224611819428414258", "98": "13468.40199776495832681139252802118054191736406926159901276354295666019371475509148739186657219470382", "99": "14386.59983083900747692962279875806347333568429395301746449875106704045716278408986544073773685278655", "100": "14511.82648400650015229561656876327611237670733423878224620347483784461625614672916604627650933155410", "101": {"number": "15531.82021589363424797087001796832199320817880424929188102109031180864395330784274224611819428414258", "equals": "HREF{#11,97}"}, "102": "18739.61318601196450328718328078936564907715641096099060513823787826588973140288781490690835730752531", "103": "16466.35222734886296848457398237288852915906160342056805539744029886558441324767380697802474096046961", "104": {"number": "16466.35222734886296848457398237288852915906160342056805539744029886558441324767380697802474096046961", "equals": "HREF{#11,103}"}, "105": {"number": "18739.61318601196450328718328078936564907715641096099060513823787826588973140288781490690835730752531", "equals": "HREF{#11,102}"}, "106": "14293.97035901240732162459874480444932952495606959410268466814834560090302653367701023734326423733602", "107": "16693.57923643848203819661025886473468219764477116647945976696278092355631020463581053180853009603760", "108": "17735.37976410496863097058677554544961639679083378695986030070061668779005470921130578550085992316726", "109": "15443.15351670459423550409970433387153862212350165510730681852005348672013133718996590143367220107175", "110": {"number": "15443.15351670459423550409970433387153862212350165510730681852005348672013133718996590143367220107175", "equals": "HREF{#11,109}"}, "111": {"number": "16693.57923643848203819661025886473468219764477116647945976696278092355631020463581053180853009603760", "equals": "HREF{#11,107}"}, "112": "13362.99825569345694324741196910859386676677512034952413939523820934092575938022044898470242776338242", "113": {"number": "17735.37976410496863097058677554544961639679083378695986030070061668779005470921130578550085992316726", "equals": "HREF{#11,108}"}, "114": {"number": "15443.15351670459423550409970433387153862212350165510730681852005348672013133718996590143367220107175", "equals": "HREF{#11,109}"}, "115": {"number": "15443.15351670459423550409970433387153862212350165510730681852005348672013133718996590143367220107175", "equals": "HREF{#11,109}"}, "116": {"number": "13362.99825569345694324741196910859386676677512034952413939523820934092575938022044898470242776338242", "equals": "HREF{#11,112}"}, "117": {"number": "16693.57923643848203819661025886473468219764477116647945976696278092355631020463581053180853009603760", "equals": "HREF{#11,107}"}, "118": {"number": "18927.75244342021517456534269694145366843722294716718247503665084977383623761039446057846079664109638", "equals": "HREF{#11,92}"}, "119": {"number": "16466.35222734886296848457398237288852915906160342056805539744029886558441324767380697802474096046961", "equals": "HREF{#11,103}"}, "120": {"number": "16466.35222734886296848457398237288852915906160342056805539744029886558441324767380697802474096046961", "equals": "HREF{#11,103}"}, "121": {"number": "14293.97035901240732162459874480444932952495606959410268466814834560090302653367701023734326423733602", "equals": "HREF{#11,106}"}, "122": {"number": "18739.61318601196450328718328078936564907715641096099060513823787826588973140288781490690835730752531", "equals": "HREF{#11,102}"}, "123": "14458.13690423032097421839076391168213217155317324325845970949883191757689585758159463161465111512830", "124": "12259.45021159856583175834142214824920985343306343857386104499399010268310769451634713412429760410061", "125": "13338.06169541516385850801471753376942597733627040135527503292939491529894998744225545241422487507743", "126": "13398.40097580650367799352511450951587975092460655184311005355526474134565273076986868439144970863954", "127": {"number": "13398.40097580650367799352511450951587975092460655184311005355526474134565273076986868439144970863954", "equals": "HREF{#11,126}"}, "128": {"number": "13338.06169541516385850801471753376942597733627040135527503292939491529894998744225545241422487507743", "equals": "HREF{#11,125}"}, "129": {"number": "14458.13690423032097421839076391168213217155317324325845970949883191757689585758159463161465111512830", "equals": "HREF{#11,123}"}, "130": {"number": "16693.57923643848203819661025886473468219764477116647945976696278092355631020463581053180853009603760", "equals": "HREF{#11,107}"}, "131": {"number": "15443.15351670459423550409970433387153862212350165510730681852005348672013133718996590143367220107175", "equals": "HREF{#11,109}"}, "132": {"number": "15443.15351670459423550409970433387153862212350165510730681852005348672013133718996590143367220107175", "equals": "HREF{#11,109}"}, "133": {"number": "16693.57923643848203819661025886473468219764477116647945976696278092355631020463581053180853009603760", "equals": "HREF{#11,107}"}, "134": {"number": "13362.99825569345694324741196910859386676677512034952413939523820934092575938022044898470242776338242", "equals": "HREF{#11,112}"}, "135": {"number": "15443.15351670459423550409970433387153862212350165510730681852005348672013133718996590143367220107175", "equals": "HREF{#11,109}"}, "136": {"number": "17735.37976410496863097058677554544961639679083378695986030070061668779005470921130578550085992316726", "equals": "HREF{#11,108}"}, "137": {"number": "13362.99825569345694324741196910859386676677512034952413939523820934092575938022044898470242776338242", "equals": "HREF{#11,112}"}, "138": {"number": "15443.15351670459423550409970433387153862212350165510730681852005348672013133718996590143367220107175", "equals": "HREF{#11,109}"}, "139": {"number": "16693.57923643848203819661025886473468219764477116647945976696278092355631020463581053180853009603760", "equals": "HREF{#11,107}"}, "140": {"number": "14458.13690423032097421839076391168213217155317324325845970949883191757689585758159463161465111512830", "equals": "HREF{#11,123}"}, "141": {"number": "16466.35222734886296848457398237288852915906160342056805539744029886558441324767380697802474096046961", "equals": "HREF{#11,103}"}, "142": {"number": "18927.75244342021517456534269694145366843722294716718247503665084977383623761039446057846079664109638", "equals": "HREF{#11,92}"}, "143": {"number": "13338.06169541516385850801471753376942597733627040135527503292939491529894998744225545241422487507743", "equals": "HREF{#11,125}"}, "144": {"number": "12259.45021159856583175834142214824920985343306343857386104499399010268310769451634713412429760410061", "equals": "HREF{#11,124}"}, "145": {"number": "13398.40097580650367799352511450951587975092460655184311005355526474134565273076986868439144970863954", "equals": "HREF{#11,126}"}, "146": {"number": "13398.40097580650367799352511450951587975092460655184311005355526474134565273076986868439144970863954", "equals": "HREF{#11,126}"}, "147": {"number": "14458.13690423032097421839076391168213217155317324325845970949883191757689585758159463161465111512830", "equals": "HREF{#11,123}"}, "148": {"number": "13338.06169541516385850801471753376942597733627040135527503292939491529894998744225545241422487507743", "equals": "HREF{#11,125}"}, "149": {"number": "16466.35222734886296848457398237288852915906160342056805539744029886558441324767380697802474096046961", "equals": "HREF{#11,103}"}, "150": {"number": "14293.97035901240732162459874480444932952495606959410268466814834560090302653367701023734326423733602", "equals": "HREF{#11,106}"}, "151": {"number": "18739.61318601196450328718328078936564907715641096099060513823787826588973140288781490690835730752531", "equals": "HREF{#11,102}"}, "152": {"number": "18095.25190346569064631618126709521357071381675860753185810543520170157694443320563746777513021558342", "equals": "HREF{#11,91}"}, "153": {"number": "16736.74830606135279697484665516383892677362097218803413713320592910755404402273906077515883666186418", "equals": "HREF{#11,93}"}, "154": {"number": "16736.74830606135279697484665516383892677362097218803413713320592910755404402273906077515883666186418", "equals": "HREF{#11,93}"}, "155": {"number": "18095.25190346569064631618126709521357071381675860753185810543520170157694443320563746777513021558342", "equals": "HREF{#11,91}"}, "156": {"number": "14613.39969466098102072960477806023299981056367625919788708280488786302815642305487741601636438386927", "equals": "HREF{#11,96}"}, "157": {"number": "16736.74830606135279697484665516383892677362097218803413713320592910755404402273906077515883666186418", "equals": "HREF{#11,93}"}, "158": {"number": "14613.39969466098102072960477806023299981056367625919788708280488786302815642305487741601636438386927", "equals": "HREF{#11,96}"}, "159": {"number": "16736.74830606135279697484665516383892677362097218803413713320592910755404402273906077515883666186418", "equals": "HREF{#11,93}"}, "160": {"number": "18095.25190346569064631618126709521357071381675860753185810543520170157694443320563746777513021558342", "equals": "HREF{#11,91}"}, "161": {"number": "15531.82021589363424797087001796832199320817880424929188102109031180864395330784274224611819428414258", "equals": "HREF{#11,97}"}, "162": {"number": "18973.03671170449699330307466674178368404662707249726214658284229633073268836777883152898812556367297", "equals": "HREF{#11,87}"}, "163": {"number": "21509.54340355622680832863677174136338906356936765902601383593593089081691898919848902040009727284148", "equals": "HREF{#11,86}"}, "164": {"number": "14386.59983083900747692962279875806347333568429395301746449875106704045716278408986544073773685278655", "equals": "HREF{#11,99}"}, "165": {"number": "13468.40199776495832681139252802118054191736406926159901276354295666019371475509148739186657219470382", "equals": "HREF{#11,98}"}, "166": {"number": "14511.82648400650015229561656876327611237670733423878224620347483784461625614672916604627650933155410", "equals": "HREF{#11,100}"}, "167": {"number": "14511.82648400650015229561656876327611237670733423878224620347483784461625614672916604627650933155410", "equals": "HREF{#11,100}"}, "168": {"number": "15531.82021589363424797087001796832199320817880424929188102109031180864395330784274224611819428414258", "equals": "HREF{#11,97}"}, "169": {"number": "14386.59983083900747692962279875806347333568429395301746449875106704045716278408986544073773685278655", "equals": "HREF{#11,99}"}, "170": {"number": "18973.03671170449699330307466674178368404662707249726214658284229633073268836777883152898812556367297", "equals": "HREF{#11,87}"}, "171": {"number": "16659.80563590923513234860064386942661582720085774963927389784111660523883238764516792499937660322271", "equals": "HREF{#11,90}"}, "172": {"number": "22658.94579841051877241807324210289956674931105480702470275297296107952381171590017399444899277470108", "equals": "HREF{#11,85}"}, "174": "15035.13485202080138769021437783355974343565687738023761618369990702989176924877394011005867794306628", "175": {"number": "15035.13485202080138769021437783355974343565687738023761618369990702989176924877394011005867794306628", "equals": "HREF{#11,174}"}, "177": "13492.03044630382929328139308761853551772487448485445208943704636839997384015835297539665384342069783", "178": "13249.71451214332412024223249346433626746046315053840292753376573189454531137445499528851564490764337", "179": "15052.97572217991827579475376999642080245318311842195669472309012486638320146586880739597704710304448", "183": "11739.81788417451608501567265149363376516879946566871307112254810711207320851478437985203092744190194", "184": "11563.49353885521197532998197241010385521965690362827311460080083809566189046629824331939423469161004", "185": "12648.18355734034984925918711392101170347595453455152707190003662367847058255771398514276454314293773", "186": "11604.40555474433531583807044500489587699173009131975247874440059877058878061392190806199413621776123", "191": {"number": "15052.97572217991827579475376999642080245318311842195669472309012486638320146586880739597704710304448", "equals": "HREF{#11,179}"}, "193": {"number": "11563.49353885521197532998197241010385521965690362827311460080083809566189046629824331939423469161004", "equals": "HREF{#11,184}"}, "194": {"number": "11739.81788417451608501567265149363376516879946566871307112254810711207320851478437985203092744190194", "equals": "HREF{#11,183}"}, "195": {"number": "12648.18355734034984925918711392101170347595453455152707190003662367847058255771398514276454314293773", "equals": "HREF{#11,185}"}, "196": {"number": "11604.40555474433531583807044500489587699173009131975247874440059877058878061392190806199413621776123", "equals": "HREF{#11,186}"}, "199": "16521.67434177890063750215508653187593507655956909059886663514184748937674286455705874189316456689656", "200": "16233.70831234543096834210998319168732135659151109961343044731633493270267450318741298833019497594288", "201": {"number": "12648.18355734034984925918711392101170347595453455152707190003662367847058255771398514276454314293773", "equals": "HREF{#11,185}"}, "203": {"number": "15052.97572217991827579475376999642080245318311842195669472309012486638320146586880739597704710304448", "equals": "HREF{#11,179}"}, "206": {"number": "15035.13485202080138769021437783355974343565687738023761618369990702989176924877394011005867794306628", "equals": "HREF{#11,174}"}, "207": {"number": "12648.18355734034984925918711392101170347595453455152707190003662367847058255771398514276454314293773", "equals": "HREF{#11,185}"}, "211": {"number": "15052.97572217991827579475376999642080245318311842195669472309012486638320146586880739597704710304448", "equals": "HREF{#11,179}"}, "212": {"number": "15035.13485202080138769021437783355974343565687738023761618369990702989176924877394011005867794306628", "equals": "HREF{#11,174}"}, "213": {"number": "11739.81788417451608501567265149363376516879946566871307112254810711207320851478437985203092744190194", "equals": "HREF{#11,183}"}, "215": {"number": "14613.39969466098102072960477806023299981056367625919788708280488786302815642305487741601636438386927", "equals": "HREF{#11,96}"}, "216": {"number": "11563.49353885521197532998197241010385521965690362827311460080083809566189046629824331939423469161004", "equals": "HREF{#11,184}"}, "217": {"number": "12648.18355734034984925918711392101170347595453455152707190003662367847058255771398514276454314293773", "equals": "HREF{#11,185}"}, "218": {"number": "12648.18355734034984925918711392101170347595453455152707190003662367847058255771398514276454314293773", "equals": "HREF{#11,185}"}, "219": {"number": "11739.81788417451608501567265149363376516879946566871307112254810711207320851478437985203092744190194", "equals": "HREF{#11,183}"}, "221": {"number": "11604.40555474433531583807044500489587699173009131975247874440059877058878061392190806199413621776123", "equals": "HREF{#11,186}"}, "223": {"number": "11563.49353885521197532998197241010385521965690362827311460080083809566189046629824331939423469161004", "equals": "HREF{#11,184}"}, "225": {"number": "13362.99825569345694324741196910859386676677512034952413939523820934092575938022044898470242776338242", "equals": "HREF{#11,112}"}, "226": {"number": "14386.59983083900747692962279875806347333568429395301746449875106704045716278408986544073773685278655", "equals": "HREF{#11,99}"}, "233": {"number": "13338.06169541516385850801471753376942597733627040135527503292939491529894998744225545241422487507743", "equals": "HREF{#11,125}"}, "243": "16315.89765450615763339162573925767823936637246292844146547369093999239276505315613880638595514916920", "245": "15429.64157700628291187105949207756887856655393160300386552840127804714920479400973304695914802643287", "366": {"number": "18074.36558118161791195053784325523056507037425504774782183695581089815674690874973200074212498983793", "equals": "HREF{#11,39}"}, "407": {"number": "14458.13690423032097421839076391168213217155317324325845970949883191757689585758159463161465111512830", "equals": "HREF{#11,123}"}, "416": {"number": "18045.59507850249387063824041286964139446309334675336675809489806518725769844768267728907431980637688", "equals": "HREF{#11,51}"}, "451": {"number": "15052.97572217991827579475376999642080245318311842195669472309012486638320146586880739597704710304448", "equals": "HREF{#11,179}"}, "478": "24812.17312124888725106303328780225357627924997207911434076482310121840918543864712699704498349669374", "479": "20054.16596202969479418488737420571184850994406127249413771155939227971204669115605777159887739025758", "480": "17687.38291830520930948632004073387045833570513793469992416465202375622106881325902661163300216464733", "481": "17766.10557093848038691494296616996459916779906887457217870218127233333865513704783988649442102179279", "482": "16645.65443910251722656329565248062139891407583782922959318059772273037220140135254615094253009639468", "483": {"number": "16645.65443910251722656329565248062139891407583782922959318059772273037220140135254615094253009639468", "equals": "HREF{#11,482}"}, "484": {"number": "17766.10557093848038691494296616996459916779906887457217870218127233333865513704783988649442102179279", "equals": "HREF{#11,481}"}, "485": "14560.23144107506591258959935596999064795792445110009285704757573676913396377878416386241117593895949", "486": {"number": "16645.65443910251722656329565248062139891407583782922959318059772273037220140135254615094253009639468", "equals": "HREF{#11,482}"}, "487": {"number": "16645.65443910251722656329565248062139891407583782922959318059772273037220140135254615094253009639468", "equals": "HREF{#11,482}"}, "488": {"number": "14560.23144107506591258959935596999064795792445110009285704757573676913396377878416386241117593895949", "equals": "HREF{#11,485}"}, "489": {"number": "17766.10557093848038691494296616996459916779906887457217870218127233333865513704783988649442102179279", "equals": "HREF{#11,481}"}, "490": {"number": "20054.16596202969479418488737420571184850994406127249413771155939227971204669115605777159887739025758", "equals": "HREF{#11,479}"}, "491": {"number": "20054.16596202969479418488737420571184850994406127249413771155939227971204669115605777159887739025758", "equals": "HREF{#11,479}"}, "492": {"number": "17687.38291830520930948632004073387045833570513793469992416465202375622106881325902661163300216464733", "equals": "HREF{#11,480}"}, "493": {"number": "24812.17312124888725106303328780225357627924997207911434076482310121840918543864712699704498349669374", "equals": "HREF{#11,478}"}, "494": "15696.64008145123240666840321926154563183345146666819822474475531545740258219174696293963432191808968", "495": "13680.79681817372316313766834399145846639085089388816600428107439851536145606494428146389055579963362", "496": "14529.59674698988856182903069188428519331240075326833245392480619574993204510909867918981443252902243", "497": "14715.40036135154287267015654049018416467055559112429792360941856586618609147133721048691701483814809", "498": {"number": "14715.40036135154287267015654049018416467055559112429792360941856586618609147133721048691701483814809", "equals": "HREF{#11,497}"}, "499": {"number": "14529.59674698988856182903069188428519331240075326833245392480619574993204510909867918981443252902243", "equals": "HREF{#11,496}"}, "500": {"number": "15696.64008145123240666840321926154563183345146666819822474475531545740258219174696293963432191808968", "equals": "HREF{#11,494}"}, "501": "15635.17431687358576926991307851601723289139348265969130267361183094654123900844029899404715495603336", "502": "13518.88929750536653871135714333433369161893058125015628006227877618333356929072754281855146006513243", "503": "15394.88297039658400605082702810714102394946183759711880699780516400089095804709937800119310473579619", "504": "14438.98788402077606481403269143260717259563069633254082842226094658369647619834526668330155708058382", "505": {"number": "14438.98788402077606481403269143260717259563069633254082842226094658369647619834526668330155708058382", "equals": "HREF{#11,504}"}, "506": {"number": "15394.88297039658400605082702810714102394946183759711880699780516400089095804709937800119310473579619", "equals": "HREF{#11,503}"}, "507": "12434.07137772827398873190728835823373152201857264555592475562766815171501882730821519958368638059263", "508": {"number": "14438.98788402077606481403269143260717259563069633254082842226094658369647619834526668330155708058382", "equals": "HREF{#11,504}"}, "509": {"number": "14438.98788402077606481403269143260717259563069633254082842226094658369647619834526668330155708058382", "equals": "HREF{#11,504}"}, "510": {"number": "12434.07137772827398873190728835823373152201857264555592475562766815171501882730821519958368638059263", "equals": "HREF{#11,507}"}, "511": {"number": "15394.88297039658400605082702810714102394946183759711880699780516400089095804709937800119310473579619", "equals": "HREF{#11,503}"}, "512": {"number": "15635.17431687358576926991307851601723289139348265969130267361183094654123900844029899404715495603336", "equals": "HREF{#11,501}"}, "513": {"number": "15635.17431687358576926991307851601723289139348265969130267361183094654123900844029899404715495603336", "equals": "HREF{#11,501}"}, "514": {"number": "13518.88929750536653871135714333433369161893058125015628006227877618333356929072754281855146006513243", "equals": "HREF{#11,502}"}, "515": {"number": "17766.10557093848038691494296616996459916779906887457217870218127233333865513704783988649442102179279", "equals": "HREF{#11,481}"}, "516": "13836.47652529348656308842227821322014344038419919127889865790008920522595654568506114648869002597083", "517": "11603.81288193568161261882970787643249298588700802312030376285922787929005972611665571203373881885200", "519": "12790.89669910375235917517627601174393245034214375395258683762340036021192012473021165166609001821502", "520": {"number": "12790.89669910375235917517627601174393245034214375395258683762340036021192012473021165166609001821502", "equals": "HREF{#11,519}"}, "521": "12718.45529340004072248161059073968986489131477250885943205248348669885398716879702661717689766376093", "522": {"number": "13836.47652529348656308842227821322014344038419919127889865790008920522595654568506114648869002597083", "equals": "HREF{#11,516}"}, "523": "13437.31862062090907335216227199779576031854132989541562293466164659675351390332032642101438997335743", "525": "12769.39035546041115010556156753968005851035102750557535549180596880782800320493119886982734006056703", "526": "12377.77724256661184323077817442199342055583576016712345310456508250832768381883990836700030663985203", "529": "13462.85566316185652895776414619410073864293622587079845559907213406211260796904241567129263627461451", "531": "10899.79513370653470822112651715500099837153547914238364552668230683187551559475191884138857438632635", "532": "10617.97018017205174716237475871150913179223067657208949328420958932822088338378690161986885113401720", "533": "11714.48866869551716218940161005825378528584288539092657196913349205923256783348547762231289339110384", "534": "10926.51129687779676099925896703016207002653491206321293827615332229043000088848639335995815020791232", "537": "14936.15994723913507819103241880243501890255224477586829497587643073680346708813927002038140367666478", "538": "14484.15134013457293879391737973590164238824326071610650902070165294555830012626332469624926608817632", "539": {"number": "11714.48866869551716218940161005825378528584288539092657196913349205923256783348547762231289339110384", "equals": "HREF{#11,533}"}, "544": {"number": "13437.31862062090907335216227199779576031854132989541562293466164659675351390332032642101438997335743", "equals": "HREF{#11,523}"}, "547": {"number": "14560.23144107506591258959935596999064795792445110009285704757573676913396377878416386241117593895949", "equals": "HREF{#11,485}"}, "548": {"number": "10617.97018017205174716237475871150913179223067657208949328420958932822088338378690161986885113401720", "equals": "HREF{#11,532}"}, "549": {"number": "11714.48866869551716218940161005825378528584288539092657196913349205923256783348547762231289339110384", "equals": "HREF{#11,533}"}, "551": {"number": "10926.51129687779676099925896703016207002653491206321293827615332229043000088848639335995815020791232", "equals": "HREF{#11,534}"}, "554": {"number": "12434.07137772827398873190728835823373152201857264555592475562766815171501882730821519958368638059263", "equals": "HREF{#11,507}"}, "555": {"number": "14529.59674698988856182903069188428519331240075326833245392480619574993204510909867918981443252902243", "equals": "HREF{#11,496}"}, "560": {"number": "12718.45529340004072248161059073968986489131477250885943205248348669885398716879702661717689766376093", "equals": "HREF{#11,521}"}, "561": "16717.09538415933127440866421704824306401383348064627997373468674533168486155599450979676862190099791", "562": {"number": "16717.09538415933127440866421704824306401383348064627997373468674533168486155599450979676862190099791", "equals": "HREF{#11,561}"}, "563": "14674.34463046336834149595526852059273072676219699681944274030309996544456730062758041559085578267409", "564": "14548.26634656764998409821723843078290728445840180095789847854269273945416083400123021330650695775712", "565": {"number": "14548.26634656764998409821723843078290728445840180095789847854269273945416083400123021330650695775712", "equals": "HREF{#11,564}"}, "566": {"number": "15635.17431687358576926991307851601723289139348265969130267361183094654123900844029899404715495603336", "equals": "HREF{#11,501}"}, "567": "12690.96300628726486050386559653111112875793740966753211326774398170886506937223639995802844709952043", "568": {"number": "14548.26634656764998409821723843078290728445840180095789847854269273945416083400123021330650695775712", "equals": "HREF{#11,564}"}, "569": {"number": "14548.26634656764998409821723843078290728445840180095789847854269273945416083400123021330650695775712", "equals": "HREF{#11,564}"}, "570": {"number": "12690.96300628726486050386559653111112875793740966753211326774398170886506937223639995802844709952043", "equals": "HREF{#11,567}"}, "571": {"number": "15635.17431687358576926991307851601723289139348265969130267361183094654123900844029899404715495603336", "equals": "HREF{#11,501}"}, "572": {"number": "16717.09538415933127440866421704824306401383348064627997373468674533168486155599450979676862190099791", "equals": "HREF{#11,561}"}, "573": {"number": "14674.34463046336834149595526852059273072676219699681944274030309996544456730062758041559085578267409", "equals": "HREF{#11,563}"}, "574": "13618.76024253582984188743591169504330589723457422586161032224143281910039164938108700197471417822654", "575": "11789.01387068384083610097191037642110216378412329341320123471866371386771091646169042890509791208436", "576": "12602.35044551591319911077209852936350029867530127458164257029506623078998664030151913833020623750601", "577": "12724.45964004251369425882032810502000447570473799327109972107554498326361659855567583113816159588622", "578": {"number": "12724.45964004251369425882032810502000447570473799327109972107554498326361659855567583113816159588622", "equals": "HREF{#11,577}"}, "579": {"number": "12602.35044551591319911077209852936350029867530127458164257029506623078998664030151913833020623750601", "equals": "HREF{#11,576}"}, "580": {"number": "13618.76024253582984188743591169504330589723457422586161032224143281910039164938108700197471417822654", "equals": "HREF{#11,574}"}, "581": "12628.15682796156569860625851987294746279368738955925637348040442660485765749841789631842908739347492", "582": "13440.60953719013989482311475418067954386498968890086003778123801275945401364254910061927784657939543", "583": {"number": "13440.60953719013989482311475418067954386498968890086003778123801275945401364254910061927784657939543", "equals": "HREF{#11,582}"}, "584": {"number": "14438.98788402077606481403269143260717259563069633254082842226094658369647619834526668330155708058382", "equals": "HREF{#11,504}"}, "585": "11621.64804309193253640126086099968722578427910314150395199652179203117904909774226037760654747396511", "586": {"number": "13440.60953719013989482311475418067954386498968890086003778123801275945401364254910061927784657939543", "equals": "HREF{#11,582}"}, "587": {"number": "13440.60953719013989482311475418067954386498968890086003778123801275945401364254910061927784657939543", "equals": "HREF{#11,582}"}, "588": {"number": "11621.64804309193253640126086099968722578427910314150395199652179203117904909774226037760654747396511", "equals": "HREF{#11,585}"}, "589": {"number": "14438.98788402077606481403269143260717259563069633254082842226094658369647619834526668330155708058382", "equals": "HREF{#11,504}"}, "590": {"number": "14548.26634656764998409821723843078290728445840180095789847854269273945416083400123021330650695775712", "equals": "HREF{#11,564}"}, "591": {"number": "14548.26634656764998409821723843078290728445840180095789847854269273945416083400123021330650695775712", "equals": "HREF{#11,564}"}, "592": {"number": "12628.15682796156569860625851987294746279368738955925637348040442660485765749841789631842908739347492", "equals": "HREF{#11,581}"}, "593": {"number": "16645.65443910251722656329565248062139891407583782922959318059772273037220140135254615094253009639468", "equals": "HREF{#11,482}"}, "594": "12694.00184020405650714038622801399155108260628569066133580871754345447601082515765247031353918022360", "595": "10750.88984640308529664467142683503804846657625468219397762838047509140182633206831221698044456863743", "596": "11700.21969065758956708318602134776186097744739751586472115528685990092477643886733099154522787287510", "597": "11766.25095796494785788608672870946539181560572475827208568836551647403966250666337771384012347293892", "598": {"number": "11766.25095796494785788608672870946539181560572475827208568836551647403966250666337771384012347293892", "equals": "HREF{#11,597}"}, "599": {"number": "11700.21969065758956708318602134776186097744739751586472115528685990092477643886733099154522787287510", "equals": "HREF{#11,596}"}, "600": {"number": "12694.00184020405650714038622801399155108260628569066133580871754345447601082515765247031353918022360", "equals": "HREF{#11,594}"}, "601": {"number": "13440.60953719013989482311475418067954386498968890086003778123801275945401364254910061927784657939543", "equals": "HREF{#11,582}"}, "602": {"number": "14438.98788402077606481403269143260717259563069633254082842226094658369647619834526668330155708058382", "equals": "HREF{#11,504}"}, "603": {"number": "11621.64804309193253640126086099968722578427910314150395199652179203117904909774226037760654747396511", "equals": "HREF{#11,585}"}, "604": {"number": "13440.60953719013989482311475418067954386498968890086003778123801275945401364254910061927784657939543", "equals": "HREF{#11,582}"}, "605": {"number": "11621.64804309193253640126086099968722578427910314150395199652179203117904909774226037760654747396511", "equals": "HREF{#11,585}"}, "606": {"number": "13440.60953719013989482311475418067954386498968890086003778123801275945401364254910061927784657939543", "equals": "HREF{#11,582}"}, "607": {"number": "14438.98788402077606481403269143260717259563069633254082842226094658369647619834526668330155708058382", "equals": "HREF{#11,504}"}, "608": {"number": "12694.00184020405650714038622801399155108260628569066133580871754345447601082515765247031353918022360", "equals": "HREF{#11,594}"}, "609": {"number": "14548.26634656764998409821723843078290728445840180095789847854269273945416083400123021330650695775712", "equals": "HREF{#11,564}"}, "610": {"number": "11700.21969065758956708318602134776186097744739751586472115528685990092477643886733099154522787287510", "equals": "HREF{#11,596}"}, "611": {"number": "10750.88984640308529664467142683503804846657625468219397762838047509140182633206831221698044456863743", "equals": "HREF{#11,595}"}, "612": {"number": "11766.25095796494785788608672870946539181560572475827208568836551647403966250666337771384012347293892", "equals": "HREF{#11,597}"}, "613": {"number": "11766.25095796494785788608672870946539181560572475827208568836551647403966250666337771384012347293892", "equals": "HREF{#11,597}"}, "614": {"number": "12694.00184020405650714038622801399155108260628569066133580871754345447601082515765247031353918022360", "equals": "HREF{#11,594}"}, "615": {"number": "11700.21969065758956708318602134776186097744739751586472115528685990092477643886733099154522787287510", "equals": "HREF{#11,596}"}, "616": {"number": "14548.26634656764998409821723843078290728445840180095789847854269273945416083400123021330650695775712", "equals": "HREF{#11,564}"}, "617": {"number": "12628.15682796156569860625851987294746279368738955925637348040442660485765749841789631842908739347492", "equals": "HREF{#11,581}"}, "618": {"number": "16645.65443910251722656329565248062139891407583782922959318059772273037220140135254615094253009639468", "equals": "HREF{#11,482}"}, "619": {"number": "14548.26634656764998409821723843078290728445840180095789847854269273945416083400123021330650695775712", "equals": "HREF{#11,564}"}, "620": {"number": "15635.17431687358576926991307851601723289139348265969130267361183094654123900844029899404715495603336", "equals": "HREF{#11,501}"}, "621": {"number": "12690.96300628726486050386559653111112875793740966753211326774398170886506937223639995802844709952043", "equals": "HREF{#11,567}"}, "622": {"number": "12690.96300628726486050386559653111112875793740966753211326774398170886506937223639995802844709952043", "equals": "HREF{#11,567}"}, "623": {"number": "14548.26634656764998409821723843078290728445840180095789847854269273945416083400123021330650695775712", "equals": "HREF{#11,564}"}, "624": {"number": "15635.17431687358576926991307851601723289139348265969130267361183094654123900844029899404715495603336", "equals": "HREF{#11,501}"}, "625": {"number": "13618.76024253582984188743591169504330589723457422586161032224143281910039164938108700197471417822654", "equals": "HREF{#11,574}"}, "626": {"number": "16717.09538415933127440866421704824306401383348064627997373468674533168486155599450979676862190099791", "equals": "HREF{#11,561}"}, "627": {"number": "12602.35044551591319911077209852936350029867530127458164257029506623078998664030151913833020623750601", "equals": "HREF{#11,576}"}, "628": {"number": "11789.01387068384083610097191037642110216378412329341320123471866371386771091646169042890509791208436", "equals": "HREF{#11,575}"}, "629": {"number": "12724.45964004251369425882032810502000447570473799327109972107554498326361659855567583113816159588622", "equals": "HREF{#11,577}"}, "630": {"number": "12724.45964004251369425882032810502000447570473799327109972107554498326361659855567583113816159588622", "equals": "HREF{#11,577}"}, "631": {"number": "13618.76024253582984188743591169504330589723457422586161032224143281910039164938108700197471417822654", "equals": "HREF{#11,574}"}, "632": {"number": "12602.35044551591319911077209852936350029867530127458164257029506623078998664030151913833020623750601", "equals": "HREF{#11,576}"}, "633": {"number": "16717.09538415933127440866421704824306401383348064627997373468674533168486155599450979676862190099791", "equals": "HREF{#11,561}"}, "634": {"number": "14674.34463046336834149595526852059273072676219699681944274030309996544456730062758041559085578267409", "equals": "HREF{#11,563}"}, "635": {"number": "20054.16596202969479418488737420571184850994406127249413771155939227971204669115605777159887739025758", "equals": "HREF{#11,479}"}, "636": "12655.60519247312713000970190857281202557918905049896494593471072354111575607752046909008855642640392", "637": {"number": "12655.60519247312713000970190857281202557918905049896494593471072354111575607752046909008855642640392", "equals": "HREF{#11,636}"}, "639": "11630.75095589219008431356108798693081785489539058706345755774227303169581617548614135853309965491900", "640": "11426.89230437820979941436355988724165527922707689584969201758258924764392035012737987905321572382723", "643": "12636.75622612907459478916321943263546753919746456344821654734204206923537717613392472325147798162080", "645": "10034.95728087539747677765956218903664280560935586329881093981215971098226657608912715693246136985764", "646": "9887.340901368045005388436232384227410486509501119925522644890374094512120042332684151949485046613561", "647": "10828.15702601750988943524786601709078221069342540680036434472546405028930351830260206812941258867278", "648": "10010.55859413861991736624341184302637702340382942411596277670524210668668975269942299981201869844878", "651": {"number": "12636.75622612907459478916321943263546753919746456344821654734204206923537717613392472325147798162080", "equals": "HREF{#11,643}"}, "655": {"number": "9887.340901368045005388436232384227410486509501119925522644890374094512120042332684151949485046613561", "equals": "HREF{#11,646}"}, "656": {"number": "10034.95728087539747677765956218903664280560935586329881093981215971098226657608912715693246136985764", "equals": "HREF{#11,645}"}, "657": {"number": "10828.15702601750988943524786601709078221069342540680036434472546405028930351830260206812941258867278", "equals": "HREF{#11,647}"}, "658": {"number": "10010.55859413861991736624341184302637702340382942411596277670524210668668975269942299981201869844878", "equals": "HREF{#11,648}"}, "661": "13935.15187050407216513431582438478222795065269675810573611922365771000561780349225033978428102711695", "662": "13696.03769519541520344114283385565141647096450300695630231082867264387104055610211394483875287697391", "663": {"number": "10828.15702601750988943524786601709078221069342540680036434472546405028930351830260206812941258867278", "equals": "HREF{#11,647}"}, "668": {"number": "12655.60519247312713000970190857281202557918905049896494593471072354111575607752046909008855642640392", "equals": "HREF{#11,636}"}, "669": {"number": "10828.15702601750988943524786601709078221069342540680036434472546405028930351830260206812941258867278", "equals": "HREF{#11,647}"}, "674": {"number": "12655.60519247312713000970190857281202557918905049896494593471072354111575607752046909008855642640392", "equals": "HREF{#11,636}"}, "675": {"number": "10034.95728087539747677765956218903664280560935586329881093981215971098226657608912715693246136985764", "equals": "HREF{#11,645}"}, "677": {"number": "12690.96300628726486050386559653111112875793740966753211326774398170886506937223639995802844709952043", "equals": "HREF{#11,567}"}, "678": {"number": "9887.340901368045005388436232384227410486509501119925522644890374094512120042332684151949485046613561", "equals": "HREF{#11,646}"}, "679": {"number": "10828.15702601750988943524786601709078221069342540680036434472546405028930351830260206812941258867278", "equals": "HREF{#11,647}"}, "680": {"number": "10828.15702601750988943524786601709078221069342540680036434472546405028930351830260206812941258867278", "equals": "HREF{#11,647}"}, "681": {"number": "10034.95728087539747677765956218903664280560935586329881093981215971098226657608912715693246136985764", "equals": "HREF{#11,645}"}, "683": {"number": "10010.55859413861991736624341184302637702340382942411596277670524210668668975269942299981201869844878", "equals": "HREF{#11,648}"}, "685": {"number": "9887.340901368045005388436232384227410486509501119925522644890374094512120042332684151949485046613561", "equals": "HREF{#11,646}"}, "687": {"number": "11621.64804309193253640126086099968722578427910314150395199652179203117904909774226037760654747396511", "equals": "HREF{#11,585}"}, "688": {"number": "12602.35044551591319911077209852936350029867530127458164257029506623078998664030151913833020623750601", "equals": "HREF{#11,576}"}, "695": {"number": "11700.21969065758956708318602134776186097744739751586472115528685990092477643886733099154522787287510", "equals": "HREF{#11,596}"}, "696": {"number": "12628.15682796156569860625851987294746279368738955925637348040442660485765749841789631842908739347492", "equals": "HREF{#11,581}"}, "697": {"number": "13440.60953719013989482311475418067954386498968890086003778123801275945401364254910061927784657939543", "equals": "HREF{#11,582}"}, "698": {"number": "14438.98788402077606481403269143260717259563069633254082842226094658369647619834526668330155708058382", "equals": "HREF{#11,504}"}, "699": {"number": "11621.64804309193253640126086099968722578427910314150395199652179203117904909774226037760654747396511", "equals": "HREF{#11,585}"}, "700": {"number": "13440.60953719013989482311475418067954386498968890086003778123801275945401364254910061927784657939543", "equals": "HREF{#11,582}"}, "701": {"number": "11621.64804309193253640126086099968722578427910314150395199652179203117904909774226037760654747396511", "equals": "HREF{#11,585}"}, "702": {"number": "14438.98788402077606481403269143260717259563069633254082842226094658369647619834526668330155708058382", "equals": "HREF{#11,504}"}, "703": {"number": "14548.26634656764998409821723843078290728445840180095789847854269273945416083400123021330650695775712", "equals": "HREF{#11,564}"}, "704": {"number": "12628.15682796156569860625851987294746279368738955925637348040442660485765749841789631842908739347492", "equals": "HREF{#11,581}"}, "705": {"number": "16645.65443910251722656329565248062139891407583782922959318059772273037220140135254615094253009639468", "equals": "HREF{#11,482}"}, "706": {"number": "12694.00184020405650714038622801399155108260628569066133580871754345447601082515765247031353918022360", "equals": "HREF{#11,594}"}, "707": {"number": "10750.88984640308529664467142683503804846657625468219397762838047509140182633206831221698044456863743", "equals": "HREF{#11,595}"}, "708": {"number": "11700.21969065758956708318602134776186097744739751586472115528685990092477643886733099154522787287510", "equals": "HREF{#11,596}"}, "709": {"number": "11766.25095796494785788608672870946539181560572475827208568836551647403966250666337771384012347293892", "equals": "HREF{#11,597}"}, "710": {"number": "11766.25095796494785788608672870946539181560572475827208568836551647403966250666337771384012347293892", "equals": "HREF{#11,597}"}, "711": {"number": "11700.21969065758956708318602134776186097744739751586472115528685990092477643886733099154522787287510", "equals": "HREF{#11,596}"}, "712": {"number": "12694.00184020405650714038622801399155108260628569066133580871754345447601082515765247031353918022360", "equals": "HREF{#11,594}"}, "713": {"number": "14438.98788402077606481403269143260717259563069633254082842226094658369647619834526668330155708058382", "equals": "HREF{#11,504}"}, "714": {"number": "11621.64804309193253640126086099968722578427910314150395199652179203117904909774226037760654747396511", "equals": "HREF{#11,585}"}, "715": {"number": "12694.00184020405650714038622801399155108260628569066133580871754345447601082515765247031353918022360", "equals": "HREF{#11,594}"}, "716": {"number": "11700.21969065758956708318602134776186097744739751586472115528685990092477643886733099154522787287510", "equals": "HREF{#11,596}"}, "717": {"number": "11766.25095796494785788608672870946539181560572475827208568836551647403966250666337771384012347293892", "equals": "HREF{#11,597}"}, "718": {"number": "12694.00184020405650714038622801399155108260628569066133580871754345447601082515765247031353918022360", "equals": "HREF{#11,594}"}, "719": {"number": "10750.88984640308529664467142683503804846657625468219397762838047509140182633206831221698044456863743", "equals": "HREF{#11,595}"}, "720": {"number": "11766.25095796494785788608672870946539181560572475827208568836551647403966250666337771384012347293892", "equals": "HREF{#11,597}"}, "721": {"number": "11700.21969065758956708318602134776186097744739751586472115528685990092477643886733099154522787287510", "equals": "HREF{#11,596}"}, "722": {"number": "11621.64804309193253640126086099968722578427910314150395199652179203117904909774226037760654747396511", "equals": "HREF{#11,585}"}, "723": {"number": "13440.60953719013989482311475418067954386498968890086003778123801275945401364254910061927784657939543", "equals": "HREF{#11,582}"}, "724": {"number": "14438.98788402077606481403269143260717259563069633254082842226094658369647619834526668330155708058382", "equals": "HREF{#11,504}"}, "725": {"number": "12628.15682796156569860625851987294746279368738955925637348040442660485765749841789631842908739347492", "equals": "HREF{#11,581}"}, "726": {"number": "14548.26634656764998409821723843078290728445840180095789847854269273945416083400123021330650695775712", "equals": "HREF{#11,564}"}, "727": {"number": "16645.65443910251722656329565248062139891407583782922959318059772273037220140135254615094253009639468", "equals": "HREF{#11,482}"}, "728": {"number": "12655.60519247312713000970190857281202557918905049896494593471072354111575607752046909008855642640392", "equals": "HREF{#11,636}"}, "729": {"number": "12655.60519247312713000970190857281202557918905049896494593471072354111575607752046909008855642640392", "equals": "HREF{#11,636}"}, "731": {"number": "15635.17431687358576926991307851601723289139348265969130267361183094654123900844029899404715495603336", "equals": "HREF{#11,501}"}, "732": {"number": "12690.96300628726486050386559653111112875793740966753211326774398170886506937223639995802844709952043", "equals": "HREF{#11,567}"}, "735": {"number": "11630.75095589219008431356108798693081785489539058706345755774227303169581617548614135853309965491900", "equals": "HREF{#11,639}"}, "736": {"number": "11426.89230437820979941436355988724165527922707689584969201758258924764392035012737987905321572382723", "equals": "HREF{#11,640}"}, "739": {"number": "10034.95728087539747677765956218903664280560935586329881093981215971098226657608912715693246136985764", "equals": "HREF{#11,645}"}, "740": {"number": "10010.55859413861991736624341184302637702340382942411596277670524210668668975269942299981201869844878", "equals": "HREF{#11,648}"}, "742": {"number": "9887.340901368045005388436232384227410486509501119925522644890374094512120042332684151949485046613561", "equals": "HREF{#11,646}"}, "743": {"number": "10828.15702601750988943524786601709078221069342540680036434472546405028930351830260206812941258867278", "equals": "HREF{#11,647}"}, "747": {"number": "13935.15187050407216513431582438478222795065269675810573611922365771000561780349225033978428102711695", "equals": "HREF{#11,661}"}, "748": {"number": "13696.03769519541520344114283385565141647096450300695630231082867264387104055610211394483875287697391", "equals": "HREF{#11,662}"}, "749": {"number": "10828.15702601750988943524786601709078221069342540680036434472546405028930351830260206812941258867278", "equals": "HREF{#11,647}"}, "753": {"number": "12636.75622612907459478916321943263546753919746456344821654734204206923537717613392472325147798162080", "equals": "HREF{#11,643}"}, "754": {"number": "12655.60519247312713000970190857281202557918905049896494593471072354111575607752046909008855642640392", "equals": "HREF{#11,636}"}, "757": {"number": "9887.340901368045005388436232384227410486509501119925522644890374094512120042332684151949485046613561", "equals": "HREF{#11,646}"}, "758": {"number": "10034.95728087539747677765956218903664280560935586329881093981215971098226657608912715693246136985764", "equals": "HREF{#11,645}"}, "759": {"number": "10828.15702601750988943524786601709078221069342540680036434472546405028930351830260206812941258867278", "equals": "HREF{#11,647}"}, "760": {"number": "10010.55859413861991736624341184302637702340382942411596277670524210668668975269942299981201869844878", "equals": "HREF{#11,648}"}, "764": {"number": "10828.15702601750988943524786601709078221069342540680036434472546405028930351830260206812941258867278", "equals": "HREF{#11,647}"}, "765": {"number": "12636.75622612907459478916321943263546753919746456344821654734204206923537717613392472325147798162080", "equals": "HREF{#11,643}"}, "767": {"number": "12655.60519247312713000970190857281202557918905049896494593471072354111575607752046909008855642640392", "equals": "HREF{#11,636}"}, "769": {"number": "12690.96300628726486050386559653111112875793740966753211326774398170886506937223639995802844709952043", "equals": "HREF{#11,567}"}, "770": {"number": "15635.17431687358576926991307851601723289139348265969130267361183094654123900844029899404715495603336", "equals": "HREF{#11,501}"}, "771": {"number": "13618.76024253582984188743591169504330589723457422586161032224143281910039164938108700197471417822654", "equals": "HREF{#11,574}"}, "772": {"number": "12602.35044551591319911077209852936350029867530127458164257029506623078998664030151913833020623750601", "equals": "HREF{#11,576}"}, "773": {"number": "11789.01387068384083610097191037642110216378412329341320123471866371386771091646169042890509791208436", "equals": "HREF{#11,575}"}, "774": {"number": "12724.45964004251369425882032810502000447570473799327109972107554498326361659855567583113816159588622", "equals": "HREF{#11,577}"}, "775": {"number": "12724.45964004251369425882032810502000447570473799327109972107554498326361659855567583113816159588622", "equals": "HREF{#11,577}"}, "776": {"number": "13618.76024253582984188743591169504330589723457422586161032224143281910039164938108700197471417822654", "equals": "HREF{#11,574}"}, "777": {"number": "12602.35044551591319911077209852936350029867530127458164257029506623078998664030151913833020623750601", "equals": "HREF{#11,576}"}, "778": {"number": "16717.09538415933127440866421704824306401383348064627997373468674533168486155599450979676862190099791", "equals": "HREF{#11,561}"}, "779": {"number": "14674.34463046336834149595526852059273072676219699681944274030309996544456730062758041559085578267409", "equals": "HREF{#11,563}"}, "780": {"number": "20054.16596202969479418488737420571184850994406127249413771155939227971204669115605777159887739025758", "equals": "HREF{#11,479}"}, "781": {"number": "12690.96300628726486050386559653111112875793740966753211326774398170886506937223639995802844709952043", "equals": "HREF{#11,567}"}, "782": {"number": "10034.95728087539747677765956218903664280560935586329881093981215971098226657608912715693246136985764", "equals": "HREF{#11,645}"}, "784": {"number": "12602.35044551591319911077209852936350029867530127458164257029506623078998664030151913833020623750601", "equals": "HREF{#11,576}"}, "788": {"number": "10828.15702601750988943524786601709078221069342540680036434472546405028930351830260206812941258867278", "equals": "HREF{#11,647}"}, "789": {"number": "9887.340901368045005388436232384227410486509501119925522644890374094512120042332684151949485046613561", "equals": "HREF{#11,646}"}, "790": {"number": "10010.55859413861991736624341184302637702340382942411596277670524210668668975269942299981201869844878", "equals": "HREF{#11,648}"}, "793": {"number": "10828.15702601750988943524786601709078221069342540680036434472546405028930351830260206812941258867278", "equals": "HREF{#11,647}"}, "794": {"number": "10034.95728087539747677765956218903664280560935586329881093981215971098226657608912715693246136985764", "equals": "HREF{#11,645}"}, "798": {"number": "11700.21969065758956708318602134776186097744739751586472115528685990092477643886733099154522787287510", "equals": "HREF{#11,596}"}, "799": {"number": "9887.340901368045005388436232384227410486509501119925522644890374094512120042332684151949485046613561", "equals": "HREF{#11,646}"}, "801": {"number": "11621.64804309193253640126086099968722578427910314150395199652179203117904909774226037760654747396511", "equals": "HREF{#11,585}"}, "802": {"number": "13518.88929750536653871135714333433369161893058125015628006227877618333356929072754281855146006513243", "equals": "HREF{#11,502}"}, "803": {"number": "15394.88297039658400605082702810714102394946183759711880699780516400089095804709937800119310473579619", "equals": "HREF{#11,503}"}, "804": {"number": "12434.07137772827398873190728835823373152201857264555592475562766815171501882730821519958368638059263", "equals": "HREF{#11,507}"}, "805": {"number": "12434.07137772827398873190728835823373152201857264555592475562766815171501882730821519958368638059263", "equals": "HREF{#11,507}"}, "806": {"number": "15394.88297039658400605082702810714102394946183759711880699780516400089095804709937800119310473579619", "equals": "HREF{#11,503}"}, "807": {"number": "13518.88929750536653871135714333433369161893058125015628006227877618333356929072754281855146006513243", "equals": "HREF{#11,502}"}, "808": {"number": "17766.10557093848038691494296616996459916779906887457217870218127233333865513704783988649442102179279", "equals": "HREF{#11,481}"}, "809": {"number": "13836.47652529348656308842227821322014344038419919127889865790008920522595654568506114648869002597083", "equals": "HREF{#11,516}"}, "810": {"number": "11603.81288193568161261882970787643249298588700802312030376285922787929005972611665571203373881885200", "equals": "HREF{#11,517}"}, "811": {"number": "12718.45529340004072248161059073968986489131477250885943205248348669885398716879702661717689766376093", "equals": "HREF{#11,521}"}, "812": {"number": "12790.89669910375235917517627601174393245034214375395258683762340036021192012473021165166609001821502", "equals": "HREF{#11,519}"}, "813": {"number": "12790.89669910375235917517627601174393245034214375395258683762340036021192012473021165166609001821502", "equals": "HREF{#11,519}"}, "814": {"number": "12718.45529340004072248161059073968986489131477250885943205248348669885398716879702661717689766376093", "equals": "HREF{#11,521}"}, "815": {"number": "13836.47652529348656308842227821322014344038419919127889865790008920522595654568506114648869002597083", "equals": "HREF{#11,516}"}, "816": {"number": "12434.07137772827398873190728835823373152201857264555592475562766815171501882730821519958368638059263", "equals": "HREF{#11,507}"}, "817": {"number": "13836.47652529348656308842227821322014344038419919127889865790008920522595654568506114648869002597083", "equals": "HREF{#11,516}"}, "818": {"number": "12718.45529340004072248161059073968986489131477250885943205248348669885398716879702661717689766376093", "equals": "HREF{#11,521}"}, "819": {"number": "12790.89669910375235917517627601174393245034214375395258683762340036021192012473021165166609001821502", "equals": "HREF{#11,519}"}, "820": {"number": "13836.47652529348656308842227821322014344038419919127889865790008920522595654568506114648869002597083", "equals": "HREF{#11,516}"}, "821": {"number": "11603.81288193568161261882970787643249298588700802312030376285922787929005972611665571203373881885200", "equals": "HREF{#11,517}"}, "822": {"number": "12790.89669910375235917517627601174393245034214375395258683762340036021192012473021165166609001821502", "equals": "HREF{#11,519}"}, "823": {"number": "12718.45529340004072248161059073968986489131477250885943205248348669885398716879702661717689766376093", "equals": "HREF{#11,521}"}, "824": {"number": "12434.07137772827398873190728835823373152201857264555592475562766815171501882730821519958368638059263", "equals": "HREF{#11,507}"}, "825": {"number": "15394.88297039658400605082702810714102394946183759711880699780516400089095804709937800119310473579619", "equals": "HREF{#11,503}"}, "826": {"number": "13518.88929750536653871135714333433369161893058125015628006227877618333356929072754281855146006513243", "equals": "HREF{#11,502}"}, "827": {"number": "17766.10557093848038691494296616996459916779906887457217870218127233333865513704783988649442102179279", "equals": "HREF{#11,481}"}, "828": {"number": "13437.31862062090907335216227199779576031854132989541562293466164659675351390332032642101438997335743", "equals": "HREF{#11,523}"}, "829": {"number": "13437.31862062090907335216227199779576031854132989541562293466164659675351390332032642101438997335743", "equals": "HREF{#11,523}"}, "831": {"number": "14560.23144107506591258959935596999064795792445110009285704757573676913396377878416386241117593895949", "equals": "HREF{#11,485}"}, "834": {"number": "12769.39035546041115010556156753968005851035102750557535549180596880782800320493119886982734006056703", "equals": "HREF{#11,525}"}, "835": {"number": "12377.77724256661184323077817442199342055583576016712345310456508250832768381883990836700030663985203", "equals": "HREF{#11,526}"}, "837": {"number": "13462.85566316185652895776414619410073864293622587079845559907213406211260796904241567129263627461451", "equals": "HREF{#11,529}"}, "839": {"number": "10926.51129687779676099925896703016207002653491206321293827615332229043000088848639335995815020791232", "equals": "HREF{#11,534}"}, "841": {"number": "10617.97018017205174716237475871150913179223067657208949328420958932822088338378690161986885113401720", "equals": "HREF{#11,532}"}, "842": {"number": "11714.48866869551716218940161005825378528584288539092657196913349205923256783348547762231289339110384", "equals": "HREF{#11,533}"}, "845": {"number": "13462.85566316185652895776414619410073864293622587079845559907213406211260796904241567129263627461451", "equals": "HREF{#11,529}"}, "846": {"number": "14936.15994723913507819103241880243501890255224477586829497587643073680346708813927002038140367666478", "equals": "HREF{#11,537}"}, "847": {"number": "14484.15134013457293879391737973590164238824326071610650902070165294555830012626332469624926608817632", "equals": "HREF{#11,538}"}, "848": {"number": "11714.48866869551716218940161005825378528584288539092657196913349205923256783348547762231289339110384", "equals": "HREF{#11,533}"}, "853": {"number": "13437.31862062090907335216227199779576031854132989541562293466164659675351390332032642101438997335743", "equals": "HREF{#11,523}"}, "856": {"number": "10617.97018017205174716237475871150913179223067657208949328420958932822088338378690161986885113401720", "equals": "HREF{#11,532}"}, "857": {"number": "10899.79513370653470822112651715500099837153547914238364552668230683187551559475191884138857438632635", "equals": "HREF{#11,531}"}, "858": {"number": "11714.48866869551716218940161005825378528584288539092657196913349205923256783348547762231289339110384", "equals": "HREF{#11,533}"}, "859": {"number": "10926.51129687779676099925896703016207002653491206321293827615332229043000088848639335995815020791232", "equals": "HREF{#11,534}"}, "868": {"number": "14560.23144107506591258959935596999064795792445110009285704757573676913396377878416386241117593895949", "equals": "HREF{#11,485}"}, "869": {"number": "15696.64008145123240666840321926154563183345146666819822474475531545740258219174696293963432191808968", "equals": "HREF{#11,494}"}, "870": {"number": "14529.59674698988856182903069188428519331240075326833245392480619574993204510909867918981443252902243", "equals": "HREF{#11,496}"}, "871": {"number": "13680.79681817372316313766834399145846639085089388816600428107439851536145606494428146389055579963362", "equals": "HREF{#11,495}"}, "873": {"number": "14715.40036135154287267015654049018416467055559112429792360941856586618609147133721048691701483814809", "equals": "HREF{#11,497}"}, "874": {"number": "15696.64008145123240666840321926154563183345146666819822474475531545740258219174696293963432191808968", "equals": "HREF{#11,494}"}, "875": {"number": "14529.59674698988856182903069188428519331240075326833245392480619574993204510909867918981443252902243", "equals": "HREF{#11,496}"}, "876": {"number": "17687.38291830520930948632004073387045833570513793469992416465202375622106881325902661163300216464733", "equals": "HREF{#11,480}"}, "877": {"number": "14560.23144107506591258959935596999064795792445110009285704757573676913396377878416386241117593895949", "equals": "HREF{#11,485}"}, "878": {"number": "10899.79513370653470822112651715500099837153547914238364552668230683187551559475191884138857438632635", "equals": "HREF{#11,531}"}, "880": {"number": "14529.59674698988856182903069188428519331240075326833245392480619574993204510909867918981443252902243", "equals": "HREF{#11,496}"}, "884": {"number": "11714.48866869551716218940161005825378528584288539092657196913349205923256783348547762231289339110384", "equals": "HREF{#11,533}"}, "885": {"number": "10617.97018017205174716237475871150913179223067657208949328420958932822088338378690161986885113401720", "equals": "HREF{#11,532}"}, "886": {"number": "10926.51129687779676099925896703016207002653491206321293827615332229043000088848639335995815020791232", "equals": "HREF{#11,534}"}, "889": {"number": "11714.48866869551716218940161005825378528584288539092657196913349205923256783348547762231289339110384", "equals": "HREF{#11,533}"}, "894": {"number": "12718.45529340004072248161059073968986489131477250885943205248348669885398716879702661717689766376093", "equals": "HREF{#11,521}"}, "895": {"number": "10617.97018017205174716237475871150913179223067657208949328420958932822088338378690161986885113401720", "equals": "HREF{#11,532}"}, "897": {"number": "12434.07137772827398873190728835823373152201857264555592475562766815171501882730821519958368638059263", "equals": "HREF{#11,507}"}, "1112": {"number": "13836.47652529348656308842227821322014344038419919127889865790008920522595654568506114648869002597083", "equals": "HREF{#11,516}"}, "1162": {"number": "13836.47652529348656308842227821322014344038419919127889865790008920522595654568506114648869002597083", "equals": "HREF{#11,516}"}, "1173": {"number": "12694.00184020405650714038622801399155108260628569066133580871754345447601082515765247031353918022360", "equals": "HREF{#11,594}"}, "1185": {"number": "12694.00184020405650714038622801399155108260628569066133580871754345447601082515765247031353918022360", "equals": "HREF{#11,594}"}, "1668": {"number": "16233.70831234543096834210998319168732135659151109961343044731633493270267450318741298833019497594288", "equals": "HREF{#11,200}"}, "1669": {"number": "16521.67434177890063750215508653187593507655956909059886663514184748937674286455705874189316456689656", "equals": "HREF{#11,199}"}, "2243": {"number": "13696.03769519541520344114283385565141647096450300695630231082867264387104055610211394483875287697391", "equals": "HREF{#11,662}"}}}, "Comments": {"primitive": "The graph $G$ is connected, and each vertex has degree at most four. Writing $N_G$ for its number of edges and $h_G$ for its first Betti number, primitive logarithmic divergence means $N_G=2h_G$ and $N_\\gamma>2h_\\gamma$ for every nonempty strict edge subgraph $\\gamma$. There is one variable $x_e$ per edge; the graph polynomial $\\Psi_G$ is defined in CITE{graph-polynomial}.", "census": "The label $P_{\\ell,k}$ is the label in the Panzer\u2013Schnetz ancillary census CITE{Data}: $\\ell$ is the loop order before completion and $k$ distinguishes its census entries. Distinct labels remain distinct rows even when their exact source expressions coincide.", "completion": "The edge lists in the attached census-graphs.json and CITE{Data} describe the completed graphs. Each completion is 4-regular and has $\\ell+2$ vertices and $\\ell+3$ loops. Removing any vertex gives an $\\ell$-loop graph with the same period, by the completion theorem CITE{PS}, Theorem 5.2. In particular, the completion of $P_{3,1}$ is $K_5$.", "zeta-convention": "The HREF{Multiple_zeta_values_of_length_2}[multiple zeta values of length 2] and HREF{Multiple_zeta_values_of_length_3}[length 3] use the convention $\\zeta(s_1,\\ldots,s_r)=\\sum_{n_1>\\cdots>n_r>0}\\prod_{j=1}^r n_j^{-s_j}$ with $s_1\\geq2$. The ancillary expressions use this convention, together with multiple polylogarithms at $-1$ and $e^{\\pm i\\pi/3}$. The single-index case is the HREF{Values_of_the_Riemann_zeta_function_at_rational_numbers}[Riemann zeta function].", "unknown": "Entries marked FAIL in the source have no evaluable expression and are omitted. No transcendence assertion is made for individual periods."}, "Formulas": {"graph-polynomial": "$\\Psi_G(x)=\\sum_{T\\text{ spanning tree of }G}\\prod_{e\\notin T}x_e.$", "zigzag": "For the $\\ell$-loop zig-zag graph $Z_\\ell$, $P(Z_\\ell)=\\frac{4(2\\ell-2)!}{\\ell!(\\ell-1)!}\\left(1-\\frac{1-(-1)^\\ell}{2^{2\\ell-3}}\\right)\\zeta(2\\ell-3)$ for $\\ell\\geq3$, where $\\zeta$ is the HREF{Values_of_the_Riemann_zeta_function_at_rational_numbers}[Riemann zeta function] CITE{BS}. The census entry $P_{\\ell,1}$ is a zig-zag period for $3\\leq\\ell\\leq11$.", "complete-bipartite": "$P_{6,4}=12P_{4,1}P_{3,1}-16P_{6,3}$. The completed graph of $P_{6,4}$ is $K_{4,4}$ CITE{PS}, equation (5.3)."}, "Similar tables": [{"table": "HREF{Multiple_zeta_values_of_length_2}[Multiple zeta values of length 2]", "relation": "Depth-two values entering the period expressions."}, {"table": "HREF{Multiple_zeta_values_of_length_3}[Multiple zeta values of length 3]", "relation": "Depth-three values entering the period expressions."}, {"table": "HREF{Values_of_the_Riemann_zeta_function_at_rational_numbers}[Values of the Riemann zeta function at rational numbers]", "relation": "Single zeta values occurring in zig-zag periods."}], "Programs": {"period-example": {"language": "Sage", "code": "# P_{6,3} from the ancillary multiple-zeta expression.\nimport numberdb.sage as numberdb\nfrom sage.libs.pari import pari\nfrom sage.rings.rational_field import QQ\nfrom sage.rings.real_mpfr import RealField\nR = RealField(numberdb.bits(150))\nzeta = lambda *s: R(pari.zetamult(list(s), precision=R.precision()))\nP_6_3 = QQ(432)/5*zeta(5,3) - QQ(58)/2625*R.pi()**8 + 252*zeta(3)*zeta(5)\nprint(P_6_3)"}}, "Keywords": "Feynman integrals, phi4 periods, phi^4 periods, quantum field theory, Schnetz census, zig-zag graphs, wheel with three spokes"}