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) | 
|---|---|
| 240.16373096680750605 + 1.095421484456122399e-2193j | 8.4e-994, 8.4e-994j | 
| 271.9025518384433392 + 6.9589760172859169567e-2197j | 2.33e-997, 2.33e-997j | 
| 227.98266950162922341 - 5.1678238956189423212e-2193j | 1.72e-992, 1.72e-992j | 
| 173.48170693990568196 - 1.3047930153069377809e-2183j | 1.54e-987, 1.54e-987j | 
| 254.25437801227284293 + 3.5522783189893584903e-2198j | 2.32e-995, 2.32e-995j | 
| 11.52707042323335718 - 1.6461899687141427413e-2202j | 2.87e-999, 2.87e-999j | 
| 189.25721233924061761 + 8.3028329585989440298e-2187j | 8.25e-989, 8.25e-989j | 
| 90.491446936936890975 + 6.5018932229182063343e-2201j | 1.91e-984, 1.91e-984j | 
| 36.397143176713994789 + 1.7154181658276516732e-2223j | 1.36e-989, 1.36e-989j | 
| 34.097135349536744854 - 2.8098996709197457409e-2224j | 3.82e-990, 3.82e-990j | 
| 181.14830402208955466 + 8.1874856640063214533e-2218j | 3.5e-988, 3.5e-988j | 
| 61.213952495136868053 + 1.6857161838330527727e-2219j | 6e-986, 6e-986j | 
| 20.309582517598795618 + 7.5760770087203057325e-2234j | 1.35e-994, 1.35e-994j | 
| 94.723042157824114268 + 6.2154478927439783486e-2223j | 2.1e-984, 2.1e-984j | 
| 4.7511268854184581302 + 2.1345385578106173117e-2252j | 2.51e-1005, 2.51e-1005j | 
| 9.1995283645586761346 + 8.622242527886375198e-2248j | 5.92e-1001, 5.92e-1001j | 
| 31.882288956190792739 - 4.1326647675294062504e-2238j | 1.04e-990, 1.04e-990j | 
| 6.2899450829374791969 + 3.9068062814873872317e-2251j | 1.45e-1003, 1.45e-1003j | 
| 74.894901675400409757 - 1.3599728699406322801e-2230j | 5.86e-985, 5.86e-985j | 
| 146.31588443419224084 + 2.8953866876488846524e-2232j | 9e-986, 9e-986j | 
| 86.397946087125995974 + 2.8447674754705669255e-2238j | 1.63e-984, 1.63e-984j | 
| 18.656677801683749653 + 3.4490570906926218066e-2258j | 2.51e-995, 2.51e-995j | 
| 159.27187614739784085 - 1.0134425001740410169e-2246j | 1.43e-986, 1.43e-986j | 
| 78.604343012646947008 - 1.9960409895481583059e-2257j | 9.09e-985, 9.09e-985j | 
| 4.0749979566476846608 + 3.5450031613737899244e-2297j | 2.36e-1006, 2.36e-1006j | 
| 123.38866520260759341 - 4.733202940429779073e-2274j | 9.75e-985, 9.75e-985j | 
| 5.4831787133745864547 - 1.7737249261278709597e-2303j | 1.83e-1004, 1.83e-1004j | 
| 217.07406494647060959 - 1.5237424894007941093e-2290j | 2.09e-991, 2.09e-991j | 
| 82.437202805890394255 - 2.6214629430252688435e-2282j | 1.25e-984, 1.25e-984j | 
| 166.20370105776676942 + 1.129846091585893457e-2294j | 4.99e-987, 4.99e-987j | 
| 17.080204542095084731 + 4.3933653648201813418e-2332j | 4.76e-996, 4.76e-996j | 
| 134.40452333105043491 - 1.3270286981102996964e-2319j | 3.7e-985, 3.7e-985j | 
| 64.467658826393211158 - 8.1371439431978485583e-2348j | 1.15e-985, 1.15e-985j | 
| 140.2400320879473536 + 5.0275273026352672937e-2386j | 1.85e-985, 1.85e-985j | 
| 207.10622693300105473 - 2.5484834583417342204e-2425j | 1.96e-990, 1.96e-990j | 
| 46.480280432093740769 - 2.820790793061656088e-2446j | 1.03e-987, 1.03e-987j | 
| 3.4392636009983882459 + 8.5001890915967653451e-2505j | 2.12e-1007, 2.12e-1007j | 
| 41.258726420334595299 - 2.9294093397470092969e-2481j | 1.31e-988, 1.31e-988j | 
| 99.098594697918283199 - 1.4284765906221471971e-2545j | 2.28e-984, 2.28e-984j | 
| 49.230696171180794923 - 9.5598739501002663494e-2607j | 2.76e-987, 2.76e-987j | 
| 29.751206181259936296 + 1.6093776740654838261e-2651j | 2.69e-991, 2.69e-991j | 
| 8.1499692058726620689 - 2.1134094743099031944e-2698j | 7.32e-1002, 7.32e-1002j | 
| 118.18072865244251577 - 1.1224603266233201043e-2710j | 1.34e-984, 1.34e-984j | 
| 27.70258136692146668 + 2.8670998436265761774e-2755j | 6.48e-992, 6.48e-992j | 
| 43.823608520946381249 + 9.8888111491903863911e-2801j | 3.89e-988, 3.89e-988j | 
| 128.79231314061544392 + 1.3972929239843651737e-2902j | 6.12e-985, 6.12e-985j | 
| 23.847920768338736722 - 4.8460932731482202686e-2959j | 3.21e-993, 3.21e-993j | 
| 67.830191817846704092 + 8.9897362998090246009e-2994j | 2.11e-985, 2.11e-985j | 
| 1.7990586979457374431 + 1.7141741710910360435e-3083j | 7.15e-1011, 7.15e-1011j | 
| 10.325651152877189488 + 1.89045729202371939e-3057j | 4.09e-1000, 4.09e-1000j | 
| 108.30812194395211261 + 8.7577147017203454109e-3058j | 2.02e-984, 2.02e-984j | 
| 15.579481204739607016 - 1.0859208467711645001e-3094j | 8.91e-997, 8.91e-997j | 
| 55.021275231076385059 - 3.2074959279577182515e-3081j | 1.54e-986, 1.54e-986j | 
| 0.09038936645172925067 + 3.4261520678877992406e-3132j | 5.49e-1019, 5.49e-1019j | 
| 7.1791649035395181729 - 3.5211978219846930657e-3117j | 1.04e-1002, 1.04e-1002j | 
| 14.15394980743928927 + 9.0162868245023083096e-3111j | 1.36e-997, 1.36e-997j | 
| 197.87839307812206536 + 3.5644138630384175742e-3097j | 1.45e-989, 1.45e-989j | 
| 0.66967770104935514232 - 6.8518838320954752905e-3152j | 9.53e-1015, 9.53e-1015j | 
| 22.039704149989382622 - 2.2817007274505057242e-3130j | 6.97e-994, 6.97e-994j | 
| 0.22295393706801799369 + 7.0115693334447675726e-3154j | 1.6e-1017, 1.6e-1017j | 
| 2.8432773487283388891 + 1.4821231613631615609e-3145j | 1.6e-1008, 1.6e-1008j | 
| 113.15721105078376962 + 1.3533463371175587631e-3120j | 1.78e-984, 1.78e-984j | 
| 25.735196988531216414 + 5.3426395237139867289e-3142j | 1.51e-992, 1.51e-992j | 
| 58.066083201188729426 - 9.339140629931364192e-3136j | 3.19e-986, 3.19e-986j | 
| 52.076947424630658343 - 5.0136836312744846697e-3136j | 6.29e-987, 6.29e-987j | 
| 1.3619000648249747209 + 1.7291587214228761424e-3161j | 3.79e-1012, 3.79e-1012j | 
| 0.017115995374256685803 - 4.197397999554221678e-3170j | 1.72e-1020, 1.72e-1020j | 
| 152.6519911657423381 + 2.7322781195631578768e-3133j | 4.26e-986, 4.26e-986j | 
| 12.803209110561868451 + 1.7741485036414089609e-3155j | 2.06e-998, 2.06e-998j | 
| 2.2942803602790417198 + 1.2627598856436139359e-3166j | 1.1e-1009, 1.1e-1009j | 
| 0.41577455678347908331 - 2.4629316351475773615e-3173j | 4.15e-1016, 4.15e-1016j | 
| 38.783807454994203469 + 2.8837957366441468803e-3146j | 4.11e-989, 4.11e-989j | 
| 71.304777106016356195 + 7.7684032503438570807e-3140j | 3.88e-985, 3.88e-985j | 
| 103.62456910357728808 - 5.6886912266159800235e-3158j | 2.28e-984, 2.28e-984j | 
| 0.98510415222532531008 + 1.4182622300352622285e-3201j | 1.92e-1013, 1.92e-1013j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 6.4823640236377975718e-104 + 2.0830779071193731688e-2260j | 1.25e-148, 6.28e-891j | 
| 1.7062535969865225533e-117 + 2.6161208259238220326e-2267j | 4.45e-153, 2.24e-895j | 
| 1.1170425768891557903e-98 - 9.6303618037858245001e-2258j | 2.35e-147, 1.18e-889j | 
| 3.3950636942736072462e-75 - 9.3768304017723443118e-2246j | 2.45e-140, 1.24e-882j | 
| 5.8471698567133325192e-110 - 1.7586424835869023271e-2263j | 4.23e-151, 2.13e-893j | 
| 1.2214306346656019924e-05 + 1.2611057888182885293e-2207j | 2.78e-62, 1.4e-804j | 
| 5.3507140362133817877e-82 - 3.1033649052726051446e-2249j | 5.63e-143, 2.84e-885j | 
| 2.0860564030828362875e-39 + 2.9528575667943785626e-2227j | 1.15e-123, 5.79e-866j | 
| 3.6534940127460175877e-16 - 1.046120736403579255e-2214j | 5.1e-98, 2.57e-840j | 
| 3.510505520111163406e-15 + 3.8455764451943351992e-2214j | 3.3e-96, 1.66e-838j | 
| 1.6775978260021945489e-78 + 1.9040685318617903603e-2247j | 4.79e-142, 2.42e-884j | 
| 8.3235769832578218535e-27 + 1.4165292131888129723e-2220j | 5.59e-114, 2.82e-856j | 
| 2.5579974269585981602e-09 - 1.552583833421429028e-2210j | 1.62e-84, 8.18e-827j | 
| 3.1335118406993431484e-41 - 3.2748778698031551025e-2228j | 1.14e-125, 5.77e-868j | 
| 0.0060538893519146878761 - 2.2559951794729486858e-2206j | 1.96e-48, 9.87e-791j | 
| 0.00010999520000635517323 + 3.6602736049656403136e-2207j | 5.45e-65, 2.75e-807j | 
| 3.0953195091858588003e-14 - 1.3664517460460235525e-2213j | 3.8e-96, 1.92e-838j | 
| 0.0015723600342857526665 - 1.1372206401258951164e-2206j | 2.17e-56, 1.09e-798j | 
| 1.0857917185527215075e-32 + 1.0240009976411883627e-2223j | 5.66e-120, 2.85e-862j | 
| 1.7716493077090755524e-63 - 9.6916300722094260794e-2240j | 4.99e-139, 2.52e-881j | 
| 1.2099070175314520748e-37 - 2.4895111025024612983e-2226j | 8.43e-124, 4.25e-866j | 
| 1.2751569731082225992e-08 + 4.7474906922875634185e-2210j | 4.82e-87, 2.43e-829j | 
| 4.5681186388894631994e-69 - 1.3013558188322752643e-2242j | 3.51e-141, 1.77e-883j | 
| 2.7476372064086286886e-34 - 1.4624170202600720483e-2224j | 4.53e-122, 2.29e-864j | 
| 0.011122732549052279978 + 2.7196621476786463731e-2206j | 2.08e-57, 1.05e-799j | 
| 1.3726818238715954198e-53 - 1.2252272328494833234e-2234j | 1.47e-135, 7.42e-878j | 
| 0.003187820719829005549 + 1.6730382432572887546e-2206j | 1.34e-64, 6.76e-807j | 
| 5.5314106713059461688e-94 + 2.3722495977958510613e-2255j | 2.18e-151, 1.1e-893j | 
| 6.1460974825046567093e-36 + 1.9679729826296333683e-2225j | 9.05e-124, 4.56e-866j | 
| 4.6754471448922517546e-72 + 3.8068574321285633565e-2244j | 1.64e-142, 8.29e-885j | 
| 5.8783748064446639702e-08 - 1.464679477410509546e-2209j | 2.06e-93, 1.04e-835j | 
| 2.4341445082685923904e-58 - 4.300359187352200007e-2237j | 3.08e-138, 1.56e-880j | 
| 3.3232638492600621669e-28 - 2.5136902340560334056e-2221j | 5.39e-122, 2.72e-864j | 
| 7.4000769939590802068e-61 + 2.1666916164335393683e-2238j | 4.53e-139, 2.28e-881j | 
| 1.0861230342719000692e-89 - 3.6649747803702900452e-2253j | 4.64e-151, 2.34e-893j | 
| 1.7609620724629161957e-20 - 3.9430998306868982338e-2217j | 7.76e-118, 3.91e-860j | 
| 0.019792211162471011355 - 2.9797934889124027104e-2206j | 4.95e-74, 2.5e-816j | 
| 3.0401531201543994614e-18 - 6.942857092818604758e-2216j | 1.25e-115, 6.33e-858j | 
| 4.077098666214872551e-43 + 3.3857316702762287163e-2229j | 3.61e-132, 1.82e-874j | 
| 1.1647261026359981964e-21 + 8.8302929242529324726e-2218j | 2.62e-119, 1.32e-861j | 
| 2.5077691540127947056e-13 + 4.702632085097148335e-2213j | 4.78e-111, 2.41e-853j | 
| 0.00029181329701056656862 - 5.0002558626526183865e-2207j | 3.72e-92, 1.87e-834j | 
| 2.4183496717760973504e-51 + 1.7834284554172176299e-2233j | 3.17e-137, 1.6e-879j | 
| 1.86914994866791021e-12 - 1.5710381255043343662e-2212j | 5.69e-111, 2.87e-853j | 
| 2.423070571362926625e-19 + 1.6884049344732601939e-2216j | 1.54e-117, 7.76e-860j | 
| 6.412348137414010181e-56 + 7.6425406955765835714e-2236j | 4.79e-139, 2.42e-881j | 
| 8.1204955356816772648e-11 - 1.6222680156871594903e-2211j | 1.1e-110, 5.56e-853j | 
| 1.1898552442649334849e-29 + 4.2369632433561537955e-2222j | 4.96e-126, 2.5e-868j | 
| 0.077219659808062778233 + 3.0032604366751639301e-2206j | 2.12e-86, 1.07e-828j | 
| 3.8154717125842486681e-05 - 3.4877260401989994747e-2207j | 7.62e-102, 3.84e-844j | 
| 4.3695434521299146485e-47 + 2.8916803331974463246e-2231j | 5.29e-136, 2.67e-878j | 
| 2.5071208708291095339e-07 + 4.6744736219304049938e-2209j | 1.37e-107, 6.92e-850j | 
| 3.8092350507477002017e-24 + 3.8814063820278497524e-2219j | 1.12e-123, 5.66e-866j | 
| 0.093878589142775704562 + 6.9020693857429848376e-2207j | 3.83e-92, 1.93e-834j | 
| 0.00070930366333976118929 + 7.4647516716353696107e-2207j | 1.63e-100, 8.2e-843j | 
| 9.8954059654600446023e-07 - 1.6298730601654753675e-2208j | 3.31e-107, 1.67e-849j | 
| 1.0284819080946313192e-85 + 3.9210894572108284133e-2251j | 2.86e-154, 1.44e-896j | 
| 0.14569661388851556706 - 2.2538422683099805486e-2206j | 2.76e-96, 1.39e-838j | 
| 4.7425260678364351992e-10 + 5.0526897836138880257e-2211j | 4.52e-112, 2.28e-854j | 
| 0.13005209508665005947 - 1.2536069687247834939e-2206j | 1.78e-96, 8.97e-839j | 
| 0.033415726300507852722 + 3.0774993717642309149e-2206j | 1.41e-99, 7.13e-842j | 
| 3.5457781811286480297e-49 - 2.3704666760764363843e-2232j | 4.02e-137, 2.03e-879j | 
| 1.283101930538433612e-11 + 5.1085742760285916628e-2212j | 4.26e-114, 2.15e-856j | 
| 1.8750221317328058756e-25 - 7.5953189522228171751e-2220j | 6.1e-125, 3.07e-867j | 
| 6.9968587569261855361e-23 - 1.8934032245925209067e-2218j | 2e-123, 1.01e-865j | 
| 0.10432254915552519198 - 2.8518263100767347704e-2206j | 1.04e-105, 5.27e-848j | 
| 0.043203897450208389018 - 2.0636813613367886174e-2207j | 1.42e-104, 7.15e-847j | 
| 3.2751943270073747538e-66 + 3.8103779688463524551e-2241j | 3.4e-146, 1.71e-888j | 
| 3.6144631639806418968e-06 + 7.3696223280003149482e-2208j | 2.71e-112, 1.37e-854j | 
| 0.05273914348695566802 - 3.0768065504700818053e-2206j | 4.64e-108, 2.34e-850j | 
| 0.14730614161563566091 + 1.7945813811051623953e-2206j | 3.24e-107, 1.63e-849j | 
| 3.4842152370032798952e-17 + 2.7458699745148425062e-2215j | 2.07e-120, 1.05e-862j | 
| 3.8081916538595214987e-31 - 6.7711694490582006123e-2223j | 9.93e-129, 5.01e-871j | 
| 4.5657314067521239648e-45 - 3.2521351794206972042e-2230j | 5.07e-136, 2.56e-878j | 
| 0.12927015968417500162 + 2.6064311238515165383e-2206j | 2.82e-111, 1.42e-853j | 
All rules of Laguerre type can be downloaded here packed into a single file.