One starts from the polynomial
      
      and extends one by one with
      
      until the final polynomial defining this rule is reached.
      Note: Polynomials might be truncated due to size!
      The complete polynomials are included in the download.
    
| Node (ball center) | Error (ball radius) | 
|---|---|
| 300.07251906469548852 + 1.0021079456475381352e-2568j | 8.28e-992, 8.28e-992j | 
| 285.14898582677558852 + 2.2017582148093789067e-2564j | 3.81e-990, 3.81e-990j | 
| 240.11699183130875648 - 8.9899933454974783273e-2555j | 1.6e-985, 1.6e-985j | 
| 272.21716286298645524 - 1.011979633201753426e-2563j | 1.05e-988, 1.05e-988j | 
| 54.412563602741470457 - 5.0923130463628970499e-2573j | 3.73e-982, 3.73e-982j | 
| 18.989963815544515587 - 4.793673929088224694e-2599j | 7.15e-992, 7.15e-992j | 
| 171.54206967749994625 + 1.202249027668350571e-2584j | 3.48e-980, 3.48e-980j | 
| 97.194998998215442206 - 2.623518712079791187e-2663j | 1.08e-978, 1.08e-978j | 
| 118.33378121543570834 + 2.3258620978230363502e-2767j | 2e-978, 2e-978j | 
| 137.62046624755235788 + 1.3711539635697844723e-2847j | 9.6e-979, 9.6e-979j | 
| 17.525052744027611437 - 4.5062226379366508432e-2891j | 1.41e-992, 1.41e-992j | 
| 60.002657382236633512 - 3.7477659516660107769e-2876j | 2.21e-981, 2.21e-981j | 
| 16.126720938012920997 + 7.9382825306602236354e-2908j | 2.98e-993, 2.98e-993j | 
| 37.32244978837103533 + 4.3702935003308887127e-2900j | 1.63e-985, 1.63e-985j | 
| 44.191255067307111709 + 4.1001483080890487319e-2894j | 5.95e-984, 5.95e-984j | 
| 260.6097882257784799 - 3.5940430727694688217e-2893j | 1.59e-987, 1.59e-987j | 
| 51.739544305004426983 + 3.7264990127620245656e-2918j | 1.4e-982, 1.4e-982j | 
| 27.305972713952065249 - 3.900774817704683919e-2949j | 1.68e-988, 1.68e-988j | 
| 109.5126664875039131 - 2.1557531269998774442e-2937j | 1.81e-978, 1.81e-978j | 
| 65.928991358168401545 + 8.5208659093698428368e-2968j | 1.06e-980, 1.06e-980j | 
| 13.548993878242701107 + 1.0299492718468295271e-3004j | 1.42e-994, 1.42e-994j | 
| 41.827729335450786234 + 6.6710240007938205882e-2988j | 1.82e-984, 1.82e-984j | 
| 142.82175737386587812 + 2.3506353649347239133e-3020j | 6.49e-979, 6.49e-979j | 
| 206.07821449046308815 + 4.2845316504883688525e-3098j | 1.49e-982, 1.49e-982j | 
| 39.538493320125652744 + 1.4341153825814846436e-3155j | 5.63e-985, 5.63e-985j | 
| 177.91295685015984547 + 6.541883811325230962e-3227j | 1.45e-980, 1.45e-980j | 
| 153.73554041619834992 + 7.6374999348059132424e-3300j | 2.8e-979, 2.8e-979j | 
| 318.71509703665920778 + 1.1065610130614375503e-3339j | 6.49e-994, 6.49e-994j | 
| 22.117328801122371316 + 2.739345214626735038e-3351j | 1.68e-990, 1.68e-990j | 
| 159.46775859761336275 - 1.9807242745317628023e-3338j | 1.42e-979, 1.42e-979j | 
| 10.970098377827566606 - 2.2586922623428598268e-3373j | 2.89e-996, 2.89e-996j | 
| 35.178563857926741348 + 2.2230937086958463385e-3362j | 4.42e-986, 4.42e-986j | 
| 11.761298644500195377 + 3.8840446800883017278e-3372j | 1.78e-995, 1.78e-995j | 
| 165.39879685835820153 + 2.8020698335236378155e-3354j | 7.29e-980, 7.29e-980j | 
| 9.9503347189113088206 + 3.5060631960577599238e-3378j | 2.32e-997, 2.32e-997j | 
| 93.316536963990097818 - 8.9845995880176611548e-3357j | 8.25e-979, 8.25e-979j | 
| 78.850100661937605795 - 6.0974600143088575224e-3363j | 1.42e-979, 1.42e-979j | 
| 49.145894716317804839 + 1.7272311532633640167e-3366j | 5.24e-983, 5.24e-983j | 
| 3.003596744827168226 + 4.5792025655242929321e-3390j | 1.44e-1006, 1.44e-1006j | 
| 213.92737672443877363 - 4.7428673538724442844e-3365j | 3.48e-983, 3.48e-983j | 
| 2.0447624765403888357 - 2.2264201440767665905e-3392j | 8.41e-1009, 8.41e-1009j | 
| 249.97972637939576223 - 1.6600089360082752965e-3369j | 1.81e-986, 1.81e-986j | 
| 46.630233064871721776 - 3.6431567358749276219e-3368j | 1.77e-983, 1.77e-983j | 
| 33.105860653619622612 - 1.7763035125487650954e-3370j | 1.18e-986, 1.18e-986j | 
| 2.5026000900489822054 - 1.4777127644915295843e-3391j | 1.22e-1007, 1.22e-1007j | 
| 198.58490609613167745 - 2.1799430118159919894e-3361j | 5.6e-982, 5.6e-982j | 
| 101.18467128470512531 - 3.4622462764829172608e-3364j | 1.43e-978, 1.43e-978j | 
| 31.103423715487707648 - 2.191092738900312106e-3382j | 3.06e-987, 3.06e-987j | 
| 1.2852440761472685335 - 8.2911314241502593985e-3407j | 5.98e-1011, 5.98e-1011j | 
| 14.797718263018839748 - 4.6828806112677425803e-3389j | 5.84e-994, 5.84e-994j | 
| 85.879846210271171303 + 3.6011378762435734779e-3373j | 3.79e-979, 3.79e-979j | 
| 230.88217921150195752 - 1.3801881351604461714e-3377j | 1.13e-984, 1.13e-984j | 
| 69.022694030204277594 + 1.6658409557689059287e-3385j | 2.17e-980, 2.17e-980j | 
| 1.636033158145766758 - 4.6578930426917295734e-3419j | 6.88e-1010, 6.88e-1010j | 
| 29.170394399649001987 - 8.2227834322633929206e-3397j | 7.59e-988, 7.59e-988j | 
| 132.57815891500580434 - 3.940808685748613972e-3386j | 1.22e-978, 1.22e-978j | 
| 23.780067984408757891 + 8.4810507908879548756e-3411j | 8.21e-990, 8.21e-990j | 
| 89.545875008728186499 - 4.7997570616018132455e-3399j | 5.63e-979, 5.63e-979j | 
| 3.5461440262523780962 + 2.3104644084004259832e-3431j | 1.77e-1005, 1.77e-1005j | 
| 1 - 5.796818576135074706e-3438j | 5.56e-1012, 5.56e-1012j | 
| 0.76236470701406185456 + 5.3680829920664358806e-3439j | 4.24e-1013, 4.24e-1013j | 
| 222.17666662624188297 + 3.5146509352785089969e-3403j | 6.83e-984, 6.83e-984j | 
| 75.481071885030238545 + 1.5552477861076206311e-3407j | 8.12e-980, 8.12e-980j | 
| 62.922932301719883022 - 4.5949407363977162803e-3410j | 5e-981, 5e-981j | 
| 7.0919862916741176534 + 2.0751592293925897959e-3430j | 1.73e-1000, 1.73e-1000j | 
| 7.9886543552868417152 + 5.7007346967600177628e-3430j | 1.76e-999, 1.76e-999j | 
| 72.206018565862689678 + 6.9016755419741879871e-3409j | 4.34e-980, 4.34e-980j | 
| 122.94127073491864984 + 3.0436739702387063056e-3411j | 1.77e-978, 1.77e-978j | 
| 6.2572107692641730727 + 1.6119772818089815402e-3457j | 1.67e-1001, 1.67e-1001j | 
| 0.18796958875044643007 + 1.8092906275240043988e-3474j | 2.57e-1017, 2.57e-1017j | 
| 8.9440683863833236809 - 2.6535760743753186306e-3454j | 1.89e-998, 1.89e-998j | 
| 4.779596384709730006 + 1.8247507998142687425e-3459j | 1.7e-1003, 1.7e-1003j | 
| 113.85928505041142525 + 4.5070432363099911087e-3433j | 1.88e-978, 1.88e-978j | 
| 82.315503758380708732 + 4.7265398646023754858e-3450j | 2.34e-979, 2.34e-979j | 
| 57.166417024094973553 - 1.7207791966970628198e-3465j | 9.15e-982, 9.15e-982j | 
| 0.54178168434401648944 - 5.3486669341096322746e-3501j | 2.3e-1014, 2.3e-1014j | 
| 0.076901563477586590571 + 2.4146062098150424188e-3504j | 7.82e-1019, 7.82e-1019j | 
| 148.19035159174918423 - 2.9070454188229007903e-3463j | 4.48e-979, 4.48e-979j | 
| 191.41171292321590323 - 3.172560125506232265e-3477j | 1.84e-981, 1.84e-981j | 
| 0.014631394932086997787 + 2.1713982254841377747e-3619j | 1.59e-1020, 1.59e-1020j | 
| 5.4862002954204665207 + 1.469861927305267053e-3518j | 1.75e-1002, 1.75e-1002j | 
| 4.1351671366941557813 - 1.1185416841741954936e-3520j | 1.93e-1004, 1.93e-1004j | 
| 20.520727951454815743 + 2.7069000309721219032e-3507j | 3.39e-991, 3.39e-991j | 
| 184.52924565309234655 - 3.1129089894626346389e-3494j | 5.68e-981, 5.68e-981j | 
| 127.68734933840153472 - 1.4695410148879867657e-3509j | 1.54e-978, 1.54e-978j | 
| 25.509420415705663417 - 4.5958725063143680089e-3538j | 3.6e-989, 3.6e-989j | 
| 0.34525083549521763111 - 3.395073458714538305e-3566j | 8.89e-1016, 8.89e-1016j | 
| 12.448513062956781353 + 1.5906462795036364371e-3543j | 5.11e-995, 5.11e-995j | 
| 105.28923374007035678 + 1.288821201722882477e-3526j | 1.64e-978, 1.64e-978j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 7.8126386692864005863e-130 - 6.7587536758746766679e-2654j | 1.27e-131, 1.23e-869j | 
| 1.9969413908198755669e-123 + 1.3443124056568243227e-2650j | 7.83e-130, 7.63e-868j | 
| 4.9841417437711668957e-104 + 1.4118185498771268805e-2640j | 1.39e-124, 1.36e-862j | 
| 7.3072961514251077434e-118 - 9.9273211955758914519e-2648j | 1.81e-128, 1.77e-866j | 
| 6.3445862943210885375e-24 + 1.8136034117347799171e-2596j | 1.18e-72, 1.15e-810j | 
| 8.476963836966359946e-09 - 1.8277243168916989525e-2588j | 3.91e-35, 3.8e-773j | 
| 1.9788219181320114637e-74 - 3.9704687916510349597e-2625j | 1.1e-113, 1.07e-851j | 
| 2.418382049995813275e-42 + 7.1023709569009309168e-2608j | 3.33e-94, 3.24e-832j | 
| 1.842287597591349937e-51 - 7.0534921792122065123e-2613j | 3.1e-101, 3.02e-839j | 
| 8.7398125782288697605e-60 - 2.3276047802536086746e-2617j | 1.44e-106, 1.4e-844j | 
| 3.506390982911247186e-08 + 5.348121981100223208e-2588j | 5.31e-37, 5.18e-775j | 
| 2.5134137386899523453e-26 - 2.629714883904540559e-2598j | 1.35e-78, 1.31e-816j | 
| 1.3527154524410298124e-07 - 1.6093972318764477516e-2587j | 5.43e-35, 5.29e-773j | 
| 1.3473552524226486048e-16 - 3.1798821581116655798e-2593j | 9.45e-64, 9.21e-802j | 
| 1.5430621958014218043e-19 + 9.9717097568366975605e-2595j | 3.04e-69, 2.97e-807j | 
| 7.2940800230515710302e-113 + 3.7852758583702643792e-2645j | 2.19e-130, 2.13e-868j | 
| 8.9180179755899451623e-23 - 5.3641214801075076382e-2596j | 3.43e-74, 3.34e-812j | 
| 2.5334099049580131313e-12 + 8.7447536038360710875e-2591j | 1.2e-55, 1.17e-793j | 
| 1.1779605305441453668e-47 - 8.3474092853295882826e-2611j | 1.97e-100, 1.92e-838j | 
| 7.106245919936343328e-29 - 4.9819531907210149525e-2600j | 2.08e-83, 2.03e-821j | 
| 1.56391086808874928e-06 - 1.8427276092499653867e-2586j | 4.77e-37, 4.64e-775j | 
| 1.5888893036044116435e-18 - 3.1426415779767326829e-2594j | 2.05e-68, 2e-806j | 
| 4.9684275585800959881e-62 + 1.4714839737849653043e-2618j | 5.14e-110, 5.01e-848j | 
| 2.4314268761198762933e-89 + 6.1049706729565157007e-2633j | 1.54e-124, 1.5e-862j | 
| 1.5181267655300387517e-17 + 1.0003961995578623817e-2593j | 8.33e-69, 8.11e-807j | 
| 3.5128193058786725095e-77 + 1.4174906288339657264e-2626j | 8.21e-119, 8e-857j | 
| 9.6502889620584063913e-67 + 4.5916919955922216238e-2621j | 7.01e-114, 6.83e-852j | 
| 8.4106549755471073917e-138 + 5.4235436561086620742e-2658j | 1.09e-143, 1.06e-881j | 
| 4.0424793266062282067e-10 - 2.1895096368688570162e-2589j | 1.16e-59, 1.13e-797j | 
| 3.2334527663267674274e-69 - 2.243133582796985178e-2622j | 2.24e-115, 2.18e-853j | 
| 1.6896657656052182434e-05 + 1.6422850797316130832e-2585j | 2.18e-45, 2.13e-783j | 
| 1.1118409484560858325e-15 + 1.0029213930377830419e-2592j | 8.89e-72, 8.66e-810j | 
| 4.4600028414048443124e-06 - 1.4754940592950788233e-2585j | 7.53e-47, 7.34e-785j | 
| 8.8894696401772999539e-72 + 9.9421101138070108254e-2624j | 1.02e-116, 9.91e-855j | 
| 4.8916920422355239351e-05 - 1.7594043517153270712e-2585j | 6.26e-45, 6.1e-783j | 
| 1.1367435072968570692e-40 - 6.0939233710014832357e-2607j | 3.48e-101, 3.39e-839j | 
| 1.9474050678369502038e-34 - 2.1759108931498641802e-2603j | 5.52e-97, 5.37e-835j | 
| 1.1574532350986180362e-21 + 1.1664907648409655928e-2595j | 6.81e-82, 6.64e-820j | 
| 0.025872131546150138146 + 8.9469301816938286994e-2584j | 1.71e-27, 1.66e-765j | 
| 9.9501717615597462105e-93 - 1.0467470494095077788e-2634j | 1.21e-128, 1.18e-866j | 
| 0.056231554334763547837 + 1.5836362097978848795e-2583j | 1.75e-22, 1.71e-760j | 
| 2.7834118138932448564e-108 - 8.8561419820526157036e-2643j | 1.35e-134, 1.31e-872j | 
| 1.3889677053079548046e-20 - 3.2689890231308841192e-2595j | 5.38e-82, 5.24e-820j | 
| 8.5386344639972615582e-15 - 3.1275292055005806141e-2592j | 8.97e-76, 8.74e-814j | 
| 0.039309988174955107494 - 1.1963251523540966591e-2583j | 2.66e-31, 2.59e-769j | 
| 4.1749339488238537712e-86 - 2.9825468925599367595e-2631j | 6.23e-126, 6.07e-864j | 
| 4.6039756626786286812e-44 - 7.8913113831491582606e-2609j | 3.68e-105, 3.59e-843j | 
| 6.1078784971802475094e-14 + 9.6251089893761041183e-2592j | 3.46e-76, 3.37e-814j | 
| 0.088054776877163128732 + 2.8351136182353145213e-2583j | 4.62e-27, 4.5e-765j | 
| 4.8388675256624465517e-07 + 5.1331007999607471401e-2587j | 2.47e-63, 2.41e-801j | 
| 1.8236032520007626082e-37 - 3.9322615703227475611e-2605j | 1.62e-101, 1.58e-839j | 
| 4.8002986898134701808e-100 - 1.6443464982236100334e-2638j | 1.29e-132, 1.26e-870j | 
| 3.3151395170583897178e-30 + 7.3040360354868776386e-2601j | 3.19e-96, 3.11e-834j | 
| 0.074291352526376403626 - 2.1222542509760776801e-2583j | 2.49e-38, 2.42e-776j | 
| 4.0727851891462207719e-13 - 2.9212281329691483961e-2591j | 1.49e-77, 1.45e-815j | 
| 1.3121670928374250123e-57 + 3.4108892953441937085e-2616j | 4e-114, 3.89e-852j | 
| 7.9774168018680093139e-11 + 7.5537243529873131766e-2590j | 7.65e-76, 7.45e-814j | 
| 4.7974549729315653444e-39 + 4.9988531419087709148e-2606j | 1.06e-102, 1.04e-840j | 
| 0.016275709883564221813 - 6.4221258807699729631e-2584j | 8.61e-56, 8.39e-794j | 
| 0.093797384127616461019 - 3.3600315294348291778e-2583j | 2.27e-43, 2.22e-781j | 
| 0.10595038952290767787 + 3.0630388914912618226e-2583j | 2.08e-43, 2.03e-781j | 
| 2.7391863765715552372e-96 + 1.4701639723159611947e-2636j | 1.27e-131, 1.24e-869j | 
| 5.4997307881527926903e-33 + 1.5439048523700887449e-2602j | 2.97e-99, 2.89e-837j | 
| 1.3951785855314847932e-27 + 3.4804926434842139851e-2599j | 4.27e-95, 4.16e-833j | 
| 0.0007203778174753415539 + 5.9161223456935179249e-2585j | 2.82e-69, 2.75e-807j | 
| 0.00031443596959903273549 - 3.6527377714363521638e-2585j | 3.72e-70, 3.62e-808j | 
| 1.413739160486202766e-31 - 1.0698278328083900168e-2601j | 2.39e-98, 2.33e-836j | 
| 1.8929590597484153684e-53 + 5.9164975628859172695e-2614j | 7.01e-114, 6.83e-852j | 
| 0.0015392713866501625021 - 9.8644892498245452854e-2585j | 4.12e-71, 4.02e-809j | 
| 0.11173202010537042367 - 7.4457479716828754258e-2584j | 1.25e-60, 1.21e-798j | 
| 0.00012828842610872280681 + 2.3917409132315949023e-2585j | 3.69e-73, 3.59e-811j | 
| 0.0056678018195221027956 - 2.7356685007830367339e-2584j | 8.83e-70, 8.61e-808j | 
| 1.5701962979541553946e-49 + 7.9030505815812313082e-2612j | 1.65e-111, 1.61e-849j | 
| 6.2616086705168729839e-36 + 2.9762561604651067656e-2604j | 1.67e-102, 1.63e-840j | 
| 4.1618672830078764986e-25 + 2.5496090298747517056e-2597j | 2.65e-95, 2.58e-833j | 
| 0.12317761054683975259 - 2.1486585579400667446e-2583j | 3.47e-67, 3.38e-805j | 
| 0.080472602317307208552 + 3.5436336442363579681e-2584j | 1.39e-67, 1.35e-805j | 
| 2.390908782758050582e-64 - 8.5799478889464607957e-2620j | 9.08e-120, 8.84e-858j | 
| 5.2178945428868057984e-83 + 1.2427816262671175822e-2629j | 4.4e-130, 4.29e-868j | 
| 0.036983555533450725015 - 9.7809453717639557589e-2585j | 3.04e-72, 2.97e-810j | 
| 0.0030610610439026359485 + 1.6564070739121494956e-2584j | 5.94e-79, 5.79e-817j | 
| 0.0098437529177172066378 + 4.3268316707362767534e-2584j | 8.53e-78, 8.31e-816j | 
| 1.9147015911708637136e-09 + 6.3197511278620117249e-2589j | 1.37e-87, 1.33e-825j | 
| 4.886404881784345123e-80 - 4.4830006007785185895e-2628j | 1.22e-128, 1.19e-866j | 
| 1.6939433719267340991e-55 - 4.6492494628180579129e-2615j | 2.43e-116, 2.37e-854j | 
| 1.4710048647345490069e-11 - 2.5843944042739566899e-2590j | 2.21e-91, 2.15e-829j | 
| 0.12649973945279230797 + 1.3181013015498826578e-2583j | 8.78e-82, 8.53e-820j | 
| 3.6930623630034011645e-06 + 7.6331331576343140373e-2586j | 1.88e-86, 1.82e-824j | 
| 7.8145734542853785741e-46 + 8.3354895646495289871e-2610j | 3.01e-111, 2.93e-849j | 
All rules of Laguerre type can be downloaded here packed into a single file.