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) | 
|---|---|
| 265.62178645014265037 + 7.9851408384372896156e-2474j | 1.78e-994, 1.78e-994j | 
| 251.31429524796152406 - 8.0395936792179232814e-2471j | 6.87e-993, 6.87e-993j | 
| 283.52861695977151434 + 1.521488386112142529e-2480j | 1.61e-996, 1.61e-996j | 
| 227.84679270089919096 + 2.6476265868289390857e-2471j | 1.81e-990, 1.81e-990j | 
| 137.75037802340333166 - 3.3577170587311455638e-2517j | 1.16e-983, 1.16e-983j | 
| 13.534104960936746308 + 5.2720996468309980979e-2582j | 2.64e-997, 2.64e-997j | 
| 34.82231729394975867 - 3.1810089762196787011e-2567j | 4.14e-989, 4.14e-989j | 
| 111.89495554557966893 - 2.5788033447630274334e-2595j | 6.04e-983, 6.04e-983j | 
| 121.7011108213786796 - 9.7484217460873865405e-2664j | 3.89e-983, 3.89e-983j | 
| 168.94049545496360997 - 1.8337607996124281329e-2702j | 1.98e-985, 1.98e-985j | 
| 32.626616421527029838 - 3.3614295555791885067e-2725j | 1.02e-989, 1.02e-989j | 
| 238.93761125997845453 - 1.5134349651642144589e-2717j | 1.36e-991, 1.36e-991j | 
| 22.827068293311015649 + 1.3073245898126003248e-2730j | 8.53e-993, 8.53e-993j | 
| 39.45931381892758637 - 8.0077905972222773584e-2725j | 4.82e-988, 4.82e-988j | 
| 49.757143877600393657 - 3.4980129261253114393e-2720j | 3.3e-986, 3.3e-986j | 
| 217.70614509986576323 - 9.2173211939905464742e-2721j | 1.95e-989, 1.95e-989j | 
| 61.514479400595299395 + 6.281463841617813716e-2737j | 9.44e-985, 9.44e-985j | 
| 52.55470786593816544 + 2.2368183943322085715e-2767j | 8.86e-986, 8.86e-986j | 
| 94.123946398202844964 + 3.3478895116382582227e-2802j | 5.3e-983, 5.3e-983j | 
| 44.433321014233816866 + 1.5910633818123680315e-2831j | 4.67e-987, 4.67e-987j | 
| 9.8609360268003080397 + 1.5474413638457517469e-2842j | 9.78e-1000, 9.78e-1000j | 
| 176.01943757588193428 - 1.2179499035879123994e-2824j | 6.71e-986, 6.71e-986j | 
| 67.983570508901873134 + 2.5951131483914941171e-2844j | 3.58e-984, 3.58e-984j | 
| 71.374798876775881269 - 1.1096244770218230624e-2878j | 6.65e-984, 6.65e-984j | 
| 41.903428747976040342 - 9.7213063370193988152e-2904j | 1.53e-987, 1.53e-987j | 
| 102.72102128509142244 + 3.1010775169503779252e-2914j | 6.65e-983, 6.65e-983j | 
| 155.69608920707511652 - 2.4065737087558785164e-2946j | 1.39e-984, 1.39e-984j | 
| 149.47835360330857234 + 9.279450216613008568e-2983j | 3.07e-984, 3.07e-984j | 
| 17.853730552152700965 - 1.9080529500033288092e-3046j | 6.02e-995, 6.02e-995j | 
| 132.2079943534310733 - 2.1679904365162281055e-3034j | 2e-983, 2e-983j | 
| 6.2899450829374791969 - 4.0817487662711433985e-3111j | 1.14e-1002, 1.14e-1002j | 
| 28.474394121782124943 + 1.3444172443965266227e-3092j | 6.88e-991, 6.88e-991j | 
| 2.2942803602790417198 - 3.8944346098105180995e-3118j | 1.34e-1009, 1.34e-1009j | 
| 86.058210765603423666 + 7.0824593879729673244e-3090j | 3.49e-983, 3.49e-983j | 
| 11.012546506137510657 - 7.7264177144810106558e-3147j | 6.17e-999, 6.17e-999j | 
| 37.099427955900465439 + 1.8447448231881222342e-3131j | 1.49e-988, 1.49e-988j | 
| 116.71507981637028782 + 4.6631815032540371447e-3131j | 5.27e-983, 5.27e-983j | 
| 0.98233443838139682781 + 1.2278479253191759733e-3176j | 2.53e-1013, 2.53e-1013j | 
| 208.31251512122294777 + 8.6141261369237975291e-3146j | 1.34e-988, 1.34e-988j | 
| 191.26606566010582787 - 2.0756079385992106518e-3150j | 4.16e-987, 4.16e-987j | 
| 74.874464603453007192 - 1.6126898171778673871e-3174j | 1.15e-983, 1.15e-983j | 
| 47.050640022925525074 + 1.2447819382358062704e-3198j | 1.39e-986, 1.39e-986j | 
| 16.341993492551220213 + 1.2461925983771130997e-3229j | 1.08e-995, 1.08e-995j | 
| 1.3576801143201542267 - 1.8543587950951735009e-3247j | 4.74e-1012, 4.74e-1012j | 
| 30.511043167080185794 + 1.410838708855937376e-3217j | 2.67e-990, 2.67e-990j | 
| 143.50219618884442701 + 4.6164370152337731153e-3231j | 6.24e-984, 6.24e-984j | 
| 107.232684176716119 + 2.0400413600081302366e-3273j | 6.92e-983, 6.92e-983j | 
| 21.095548004474940436 - 4.2056913011449553847e-3316j | 1.59e-993, 1.59e-993j | 
| 4.1559399356402182711 + 1.2738295051653467062e-3328j | 6.94e-1006, 6.94e-1006j | 
| 19.438023734639296269 - 3.5030654236337096855e-3317j | 3.32e-994, 3.32e-994j | 
| 90.027189490339037418 + 2.1169527238204253935e-3305j | 4.49e-983, 4.49e-983j | 
| 199.5309821224132347 + 1.0371931222176187912e-3322j | 8.41e-988, 8.41e-988j | 
| 82.212483046307989191 - 1.0377297684484436838e-3325j | 2.51e-983, 2.51e-983j | 
| 3.4770093643022047819 - 2.7248261190109575063e-3363j | 4.29e-1007, 4.29e-1007j | 
| 5.6217595087508226883 + 3.8100193106278606714e-3360j | 1.48e-1003, 1.48e-1003j | 
| 183.44699626284180127 - 5.0143529966228897865e-3339j | 1.77e-986, 1.77e-986j | 
| 1.794954865276693524 - 9.4176140719284168097e-3371j | 7.48e-1011, 7.48e-1011j | 
| 64.69773910855047832 - 9.2833314535578380389e-3342j | 1.94e-984, 1.94e-984j | 
| 2.8553536757429765578 + 7.0237115252901337759e-3380j | 2.41e-1008, 2.41e-1008j | 
| 0.41577455678347908331 - 1.1637289544125448298e-3387j | 5.5e-1016, 5.5e-1016j | 
| 7.8039285506052092648 + 1.4860934921781316372e-3372j | 2.8e-1001, 2.8e-1001j | 
| 78.485845615162043671 + 1.0310943938724338534e-3353j | 1.66e-983, 1.66e-983j | 
| 98.353421369800068854 + 2.9029728790589353757e-3383j | 6.33e-983, 6.33e-983j | 
| 6.956501171844287665 - 5.216405792626598466e-3424j | 6.04e-1002, 6.04e-1002j | 
| 55.445333975358764958 - 3.2231203381638355315e-3405j | 2.1e-985, 2.1e-985j | 
| 14.902251421082145662 - 5.853971924377581992e-3422j | 1.75e-996, 1.75e-996j | 
| 26.515540939259076787 + 3.6938655370635327246e-3417j | 1.71e-991, 1.71e-991j | 
| 126.86204645129590233 - 2.8181038159131024538e-3407j | 2.89e-983, 2.89e-983j | 
| 24.633427519676435892 - 8.9070915332327233932e-3444j | 4.19e-992, 4.19e-992j | 
| 4.8822420922504281809 - 6.9442512140965921567e-3458j | 1.01e-1004, 1.01e-1004j | 
| 0.090725922317126636018 + 3.8375589186513634972e-3471j | 6.84e-1019, 6.84e-1019j | 
| 0.017200044937010292546 + 3.3086450920214722897e-3527j | 1.89e-1020, 1.89e-1020j | 
| 162.17553967467121917 + 1.9144772781382160568e-3436j | 5.43e-985, 5.43e-985j | 
| 8.7868920285882488119 + 5.2400607136081280525e-3469j | 1.65e-1000, 1.65e-1000j | 
| 12.237417546499542443 - 3.9741345359132311215e-3466j | 4.1e-998, 4.1e-998j | 
| 0.2233865346227304021 - 8.6791155100550573247e-3485j | 2.09e-1017, 2.09e-1017j | 
| 0.66854518342804395199 + 6.9070184248160595365e-3482j | 1.11e-1014, 1.11e-1014j | 
| 58.431161571518655811 - 1.0686561707833473553e-3451j | 4.46e-985, 4.46e-985j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 6.8648466725955301837e-115 - 5.390245548815873979e-2579j | 1.08e-146, 1.18e-888j | 
| 9.4599050665323873329e-109 + 1.0782774056801921072e-2575j | 4.71e-145, 5.15e-887j | 
| 1.5454818393090408294e-122 + 5.1335489621428301595e-2583j | 1.99e-149, 2.17e-891j | 
| 1.1793201316994905143e-98 - 1.5752376491381974454e-2569j | 1.36e-142, 1.49e-884j | 
| 8.4609394015590851088e-60 - 1.5606318025077022851e-2551j | 2.69e-128, 2.94e-870j | 
| 1.7654499511918257751e-06 - 5.1549260451191274348e-2524j | 2.22e-57, 2.43e-799j | 
| 1.6840986967503810691e-15 - 4.6523019396181589692e-2529j | 6.46e-87, 7.05e-829j | 
| 1.20339972430318777e-48 + 5.6849111534447604784e-2546j | 1.63e-122, 1.78e-864j | 
| 7.0965878035448140366e-53 + 4.3663470241078353529e-2548j | 6.5e-125, 7.1e-867j | 
| 2.9510526068887981085e-73 + 3.6070902227956643354e-2558j | 1.58e-135, 1.73e-877j | 
| 1.4587284794690086846e-14 + 1.4644118127297848824e-2528j | 1.08e-87, 1.18e-829j | 
| 1.9836244389739423174e-103 - 1.0997955307597752852e-2572j | 4.41e-145, 4.81e-887j | 
| 2.1577804032046102199e-10 - 2.6729066566414935406e-2526j | 8.13e-79, 8.88e-821j | 
| 1.7521271759740798044e-17 - 4.1938108042373800236e-2530j | 6.23e-94, 6.8e-836j | 
| 6.7662777684330827335e-22 - 2.1127182457715281383e-2532j | 1.53e-101, 1.67e-843j | 
| 2.7541904758200789394e-94 + 4.9302799102657551907e-2568j | 1.77e-143, 1.93e-885j | 
| 6.0331321528576469052e-27 - 5.3333423954962072615e-2535j | 1.42e-108, 1.55e-850j | 
| 4.262573077164802432e-23 + 5.0660628081109711949e-2533j | 1.33e-103, 1.45e-845j | 
| 5.5184640518564822098e-41 + 4.0078180316079048618e-2542j | 2.9e-121, 3.17e-863j | 
| 1.2982191005090518081e-19 - 3.2317511502714728882e-2531j | 1.56e-99, 1.7e-841j | 
| 5.8119095512286749283e-05 + 5.7305117000126196889e-2523j | 3.71e-66, 4.05e-808j | 
| 2.6054353018438815972e-76 - 1.1676086751903740976e-2559j | 5.45e-139, 5.95e-881j | 
| 9.9678670228396384359e-30 - 2.0216408062977679585e-2536j | 2.36e-112, 2.58e-854j | 
| 3.4633629604388666681e-31 + 3.6515360197377102474e-2537j | 5.97e-114, 6.52e-856j | 
| 1.5747152793775580748e-18 + 1.1877934610469997395e-2530j | 1.57e-99, 1.71e-841j | 
| 1.0866074805630769767e-44 + 5.4785145334330826092e-2544j | 2.02e-124, 2.2e-866j | 
| 1.5292433407415512114e-67 + 2.3069059024976439021e-2555j | 6.78e-137, 7.4e-879j | 
| 7.366613191108968801e-65 - 4.8628110772253163323e-2554j | 8.98e-136, 9.8e-878j | 
| 2.7287851141436153075e-08 + 4.1568144675727631193e-2525j | 2.12e-89, 2.32e-831j | 
| 2.0824151822686021747e-57 + 2.4073757798542216049e-2550j | 2.31e-132, 2.53e-874j | 
| 0.0011567620469639207766 + 1.114547384051078125e-2521j | 1.01e-71, 1.1e-813j | 
| 8.5946774081226193766e-13 + 1.3020136949573576566e-2527j | 2.71e-98, 2.95e-840j | 
| 0.053472215657600636947 + 1.1742566523505708081e-2521j | 1.4e-54, 1.52e-796j | 
| 1.6489075076045435728e-37 + 2.273175326130845953e-2540j | 1.52e-122, 1.66e-864j | 
| 1.9604554611990405271e-05 - 2.5636205616713179314e-2523j | 7.35e-83, 8.03e-825j | 
| 1.7909602881177279269e-16 + 1.4238039949865721266e-2529j | 3.6e-102, 3.93e-844j | 
| 1.003756121704272906e-50 - 5.1823130077768179142e-2547j | 3.99e-129, 4.36e-871j | 
| 0.12898921277242292745 - 1.0924972499094266486e-2521j | 2.16e-61, 2.36e-803j | 
| 3.0802422253671398382e-90 - 2.8320146913284019208e-2566j | 1.93e-148, 2.1e-890j | 
| 6.9026301393467039113e-83 - 7.8159224283799053458e-2563j | 8.39e-146, 9.16e-888j | 
| 1.0796112977649660878e-32 - 6.2614340232545860933e-2538j | 1.27e-120, 1.38e-862j | 
| 9.8019146363083659176e-21 + 8.438820474109005178e-2532j | 6e-110, 6.55e-852j | 
| 1.1796357499704214782e-07 - 9.8311910300054622617e-2525j | 2.42e-96, 2.64e-838j | 
| 0.104514569923164111 + 1.1683332631540355505e-2521j | 1.47e-63, 1.61e-805j | 
| 1.1652853584444956296e-13 - 4.4446851002731343512e-2528j | 1.01e-103, 1.1e-845j | 
| 2.7911545404598423069e-62 + 9.1757617651789112997e-2553j | 3.74e-136, 4.08e-878j | 
| 1.2326906728441020022e-46 - 5.78486439491342557e-2545j | 1.22e-128, 1.34e-870j | 
| 1.1677040381797617861e-09 + 6.867565400018698787e-2526j | 1.29e-101, 1.4e-843j | 
| 0.011052604228210718853 - 1.0662743574425277769e-2521j | 1.13e-85, 1.23e-827j | 
| 5.8600296980191305242e-09 - 1.713196208561576325e-2525j | 1.2e-100, 1.31e-842j | 
| 3.2152710013146176606e-39 - 3.112224559429675215e-2541j | 1.07e-125, 1.17e-867j | 
| 1.8823955236297805926e-86 + 1.5964247951417652277e-2564j | 8.47e-149, 9.25e-891j | 
| 7.4764862160525169746e-36 - 1.5650343185730814268e-2539j | 1.78e-124, 1.95e-866j | 
| 0.0201202367432350049 + 1.0902233287831983656e-2521j | 3.78e-90, 4.12e-832j | 
| 0.0026048551695203070557 - 1.1879054276689018994e-2521j | 1.17e-94, 1.27e-836j | 
| 1.6280627224176554938e-79 + 3.2647851081562088633e-2561j | 5.93e-146, 6.48e-888j | 
| 0.077802151930354259732 - 1.1912635623657806142e-2521j | 3.36e-87, 3.67e-829j | 
| 2.5815540766151303934e-28 + 1.0641643520580607097e-2535j | 9.84e-121, 1.07e-862j | 
| 0.034042013312513927915 - 1.1340907226830413868e-2521j | 5.53e-92, 6.04e-834j | 
| 0.14679133037877272315 - 7.6588974921934538061e-2522j | 2.77e-88, 3.02e-830j | 
| 0.00037835866166279321512 + 3.1142879878716129246e-2522j | 2.1e-100, 2.3e-842j | 
| 3.009584327880375371e-34 + 1.0176641658914716162e-2538j | 7.44e-124, 8.13e-866j | 
| 8.2961623727604565018e-43 - 4.8432490041487724401e-2543j | 1.63e-128, 1.78e-870j | 
| 0.00071656585277150560999 - 7.0960927589758305301e-2522j | 1.37e-101, 1.5e-843j | 
| 2.4458411487369758769e-24 - 1.1622586656259756614e-2533j | 2.82e-119, 3.08e-861j | 
| 4.7355348284242253177e-07 + 2.2727594806962412677e-2524j | 1.04e-107, 1.13e-849j | 
| 5.8589386726306859466e-12 - 3.6848380529786305597e-2527j | 4.18e-112, 4.56e-854j | 
| 4.2151153507980868581e-55 - 3.3866309894879565556e-2549j | 1.02e-135, 1.11e-877j | 
| 3.695027036228935023e-11 + 1.008574927364539241e-2526j | 7.06e-112, 7.7e-854j | 
| 0.0056281606527581870018 + 1.0942493510544579787e-2521j | 1.38e-104, 1.51e-846j | 
| 0.094068061688874284877 - 2.9305801759771965136e-2522j | 1.16e-103, 1.27e-845j | 
| 0.043399591134221476681 + 8.7308594988090372362e-2523j | 7.61e-104, 8.29e-846j | 
| 2.4478082823704749369e-70 - 9.7208074028559172641e-2557j | 1.39e-143, 1.52e-885j | 
| 0.00015763918645388242358 - 1.3104476656180863747e-2522j | 7.33e-108, 7.95e-850j | 
| 6.109948717308015514e-06 + 1.1531376416101934743e-2523j | 2.79e-109, 3.02e-851j | 
| 0.1299029380237602533 + 5.3440107233782528911e-2522j | 2.08e-106, 2.19e-848j | 
| 0.14511650749572386967 + 9.5725600394350063657e-2522j | 1.73e-106, 1.8e-848j | 
| 1.2755868573764834122e-25 + 2.5482979247746190266e-2534j | 8.88e-121, 9.74e-863j | 
All rules of Laguerre type can be downloaded here packed into a single file.