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) | 
|---|---|
| 214.80745541343883303 + 2.2368092932450195412e-2256j | 2.35e-998, 2.35e-998j | 
| 170.53627025160832498 + 1.8115128374709748375e-2251j | 7.21e-994, 7.21e-994j | 
| 201.52816050616236129 + 7.7467096609790224737e-2258j | 6.37e-997, 6.37e-997j | 
| 190.08004976653144291 + 2.5297276001832077752e-2263j | 9.83e-996, 9.83e-996j | 
| 231.48933143700157455 + 2.4309808358355311269e-2272j | 3.11e-1000, 3.11e-1000j | 
| 7.8232631436879996743 + 2.301703640979586806e-2293j | 7.08e-1004, 7.08e-1004j | 
| 98.428952743135826983 + 1.2138810803877677745e-2297j | 1.73e-989, 1.73e-989j | 
| 84.371258347129093538 - 1.1817926281235137388e-2368j | 2.11e-989, 2.11e-989j | 
| 93.553161299858901873 - 3.5163755664206352786e-2452j | 1.94e-989, 1.94e-989j | 
| 64.313249060559339394 + 1.085566793866475873e-2522j | 6.52e-990, 6.52e-990j | 
| 23.070829087177636415 + 1.729634944335443558e-2551j | 3.29e-996, 3.29e-996j | 
| 31.709037332402431615 + 1.9049174095087680262e-2569j | 7.38e-994, 7.38e-994j | 
| 14.363438802971504805 + 2.927165917325411841e-2611j | 1.02e-999, 1.02e-999j | 
| 103.51053348560546004 - 6.9936814223003114921e-2711j | 1.22e-989, 1.22e-989j | 
| 60.741285844887430867 - 4.1102789481104086801e-2859j | 4.26e-990, 4.26e-990j | 
| 126.21344914822250415 + 1.1937220637822244431e-2954j | 1.34e-990, 1.34e-990j | 
| 34.115434960461895208 + 4.8457354265201147628e-2994j | 2.49e-993, 2.49e-993j | 
| 120.14266851783271323 - 9.5743467975066013003e-3023j | 3.05e-990, 3.05e-990j | 
| 179.85502532479651945 + 1.891677347336431566e-3056j | 1.04e-994, 1.04e-994j | 
| 10.187451581166825975 - 1.1123733370836129798e-3083j | 4.28e-1002, 4.28e-1002j | 
| 17.57826699087458341 - 4.1542133717954166471e-3080j | 3.36e-998, 3.36e-998j | 
| 4.0879198016405352761 + 4.1781807660313640726e-3090j | 1.24e-1007, 1.24e-1007j | 
| 39.239589690306125836 + 2.1214660155933296483e-3071j | 2.04e-992, 2.04e-992j | 
| 114.34969812292964084 - 1.4766029301221161712e-3083j | 5.22e-990, 5.22e-990j | 
| 25.086149257961332041 - 7.7796474118865406906e-3114j | 1.4e-995, 1.4e-995j | 
| 8.9638850683781212002 - 4.1829901034014506496e-3122j | 5.72e-1003, 5.72e-1003j | 
| 12.886332141703801472 + 1.4047212135807847083e-3120j | 1.8e-1000, 1.8e-1000j | 
| 68.023704285577949899 + 5.4933101135486333503e-3107j | 1.06e-989, 1.06e-989j | 
| 5.7892523456053042649 + 6.5348825072547894894e-3142j | 1.11e-1005, 1.11e-1005j | 
| 132.58901151043097415 - 4.9441087037697528703e-3126j | 6.12e-991, 6.12e-991j | 
| 71.87823069578385232 + 3.1954654766222965937e-3135j | 1.46e-989, 1.46e-989j | 
| 4.8962169176666545658 + 2.2770338932581512412e-3154j | 1.07e-1006, 1.07e-1006j | 
| 47.743302551559642754 + 1.6814670789174028037e-3138j | 3.2e-991, 3.2e-991j | 
| 27.196401374060735964 + 5.4579839612488716852e-3142j | 5.88e-995, 5.88e-995j | 
| 50.807806657469228331 - 9.1955097120907166189e-3139j | 6.47e-991, 6.47e-991j | 
| 53.992993191895816634 + 1.3766077753539324595e-3137j | 1.28e-990, 1.28e-990j | 
| 11.494654621297973379 - 4.3959010955625431026e-3149j | 2.87e-1001, 2.87e-1001j | 
| 1.3972225753803087208 - 5.1128861900915735512e-3160j | 1.78e-1012, 1.78e-1012j | 
| 15.927032148667996068 - 3.5070372064025812812e-3146j | 6.04e-999, 6.04e-999j | 
| 88.870863134305425303 - 9.9141774827884142257e-3136j | 2.27e-989, 2.27e-989j | 
| 161.93190221942891854 + 1.7494457438277314681e-3151j | 4.06e-993, 4.06e-993j | 
| 0.056897625001077184683 + 1.2343596093417709043e-3195j | 1.19e-1019, 1.19e-1019j | 
| 3.369839231310923141 - 1.7733504350045527062e-3183j | 1.48e-1008, 1.48e-1008j | 
| 2.2581944863606346108 + 7.301027974751627387e-3186j | 2.41e-1010, 2.41e-1010j | 
| 44.795913740132745053 + 1.2032342004535219788e-3166j | 1.38e-991, 1.38e-991j | 
| 6.7651008943136125347 - 6.7574950046568763257e-3180j | 8.8e-1005, 8.8e-1005j | 
| 57.30274252250950054 + 4.5741343607286943521e-3164j | 2.36e-990, 2.36e-990j | 
| 21.148764443482709944 - 4.890535664178334563e-3181j | 8.1e-997, 8.1e-997j | 
| 0.65983144550216817308 + 4.9890281678935384469e-3199j | 2.88e-1015, 2.88e-1015j | 
| 1 + 3.0100434597419977593e-3197j | 8.61e-1014, 8.61e-1014j | 
| 139.3021476294809658 + 1.1198845832767003894e-3172j | 2.18e-991, 2.18e-991j | 
| 153.91439978502569023 + 5.8464242258443438479e-3197j | 1.83e-992, 1.83e-992j | 
| 108.81200875868128792 + 3.3123259610597933875e-3214j | 8.9e-990, 8.9e-990j | 
| 75.882986890164036888 + 6.7626175611853713814e-3222j | 1.79e-989, 1.79e-989j | 
| 0.0019677590828496266051 - 6.2017136601157158775e-3261j | 7.11e-1022, 7.11e-1022j | 
| 0.38707439279303175613 + 7.9529630382546999991e-3257j | 1.1e-1016, 1.1e-1016j | 
| 146.39346748035735202 - 4.4591100624851484187e-3229j | 6.79e-992, 6.79e-992j | 
| 19.318394527630822778 - 5.9648730036230155415e-3244j | 1.63e-997, 1.63e-997j | 
| 41.962353940346194764 + 5.0364176168094709847e-3238j | 5.95e-992, 5.95e-992j | 
| 1.8249634487698213027 - 7.2549356645096331565e-3258j | 2.63e-1011, 2.63e-1011j | 
| 36.624815977156183468 + 2.1836910071780045515e-3240j | 7.29e-993, 7.29e-993j | 
| 29.40338594113518229 - 7.2416499101608672836e-3241j | 2.11e-994, 2.11e-994j | 
| 2.7556462644454607855 - 8.426499662422707883e-3256j | 1.84e-1009, 1.84e-1009j | 
| 80.044797589351298884 + 9.8943150224376891852e-3235j | 2.23e-989, 2.23e-989j | 
| 0.18557452325303085947 + 2.5508756211109965135e-3275j | 4.07e-1018, 4.07e-1018j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 7.4708799084596786006e-93 + 7.0061735633180407821e-2336j | 1.41e-165, 1.08e-912j | 
| 7.730203566209287344e-74 - 7.1220214322533207801e-2325j | 9.17e-160, 7.02e-907j | 
| 3.6691924130861225899e-87 - 7.704094167766315892e-2333j | 3.7e-164, 2.83e-911j | 
| 3.0298806456702204476e-82 + 3.8257031923947612457e-2330j | 8.42e-163, 6.45e-910j | 
| 5.7477723884919495772e-100 - 1.2642464080407379023e-2339j | 7.83e-169, 6e-916j | 
| 0.00044007771548475571949 - 5.1727185638111042417e-2290j | 7.34e-85, 5.62e-832j | 
| 8.9078475581115974957e-43 + 1.4676675484572596784e-2310j | 1.2e-148, 9.22e-896j | 
| 1.006045895751280585e-36 - 1.6301767913382215104e-2307j | 1.49e-145, 1.14e-892j | 
| 1.1208442808878254972e-40 - 1.6594831192000129702e-2309j | 1.2e-147, 9.21e-895j | 
| 4.268259706171809922e-28 + 4.0184350782149439028e-2303j | 2.39e-140, 1.83e-887j | 
| 1.8818484398351028733e-10 - 8.0882656497070113988e-2294j | 1.16e-117, 8.92e-865j | 
| 3.9907418447641680455e-14 - 8.0492881539923393105e-2296j | 4.53e-125, 3.47e-872j | 
| 8.788781605710857014e-07 + 1.006163805156361273e-2291j | 1.85e-107, 1.42e-854j | 
| 5.7680739989317695493e-45 - 1.1813147688725143821e-2311j | 7e-151, 5.36e-898j | 
| 1.4622250682253967202e-26 - 2.4684718479917922986e-2302j | 8.19e-140, 6.27e-887j | 
| 9.5469215687631916006e-55 - 1.7233375932997269684e-2316j | 2.43e-157, 1.86e-904j | 
| 3.7527431421906834708e-15 + 2.2684652082383372105e-2296j | 2.14e-129, 1.64e-876j | 
| 3.9408937576254597028e-52 + 3.3084831102965483673e-2315j | 4.91e-156, 3.76e-903j | 
| 7.5539795225720295358e-78 - 1.3739993152405337779e-2327j | 1.44e-166, 1.11e-913j | 
| 4.7623836668200268629e-05 - 1.1716912328894681351e-2290j | 1.95e-108, 1.49e-855j | 
| 3.9368091394366178e-08 + 1.6426143574959360058e-2292j | 1.28e-118, 9.81e-866j | 
| 0.012825287735267455248 - 8.1648891946867156939e-2289j | 1.78e-93, 1.36e-840j | 
| 2.4249374468122044654e-17 + 1.5580024893291817331e-2297j | 2.65e-134, 2.03e-881j | 
| 1.2345782062358166065e-49 - 5.6430382278721619964e-2314j | 5.3e-155, 4.06e-902j | 
| 2.6279498196294515951e-11 + 2.7291065393945098996e-2294j | 9.99e-126, 7.65e-873j | 
| 0.00015123391962436766116 + 2.4948289190223359683e-2290j | 1.71e-108, 1.31e-855j | 
| 3.632068912056211955e-06 - 2.3582394236244393799e-2291j | 1.93e-114, 1.48e-861j | 
| 1.0847919452015392374e-29 - 6.1273830785268569383e-2304j | 4.12e-145, 3.16e-892j | 
| 0.0028601432473728061659 - 2.0905651415395988945e-2289j | 4.7e-105, 3.6e-852j | 
| 1.7091870426676461967e-57 + 7.9270271678641295578e-2318j | 3.07e-160, 2.35e-907j | 
| 2.3873423859174973396e-31 + 8.7291262428503972853e-2305j | 1.57e-146, 1.21e-893j | 
| 0.0063623735031583645117 + 4.1300581980239771342e-2289j | 1.57e-105, 1.2e-852j | 
| 5.5366365755309634534e-21 - 1.9104641135325242312e-2299j | 1.16e-140, 8.91e-888j | 
| 3.3332375485555654529e-12 - 8.818413666590205153e-2295j | 5.83e-131, 4.46e-878j | 
| 2.6865340734963712342e-22 + 3.9529738706047641186e-2300j | 7.34e-142, 5.62e-889j | 
| 1.1550363148695180188e-23 - 7.7259567047478021957e-2301j | 5.33e-143, 4.08e-890j | 
| 1.3741695105129175964e-05 + 5.341732056340528134e-2291j | 5.75e-121, 4.4e-868j | 
| 0.10355384590995037318 + 5.1117185024847252815e-2288j | 1.43e-102, 1.1e-849j | 
| 1.945590465797393036e-07 - 4.1418727682212688231e-2292j | 2.64e-125, 2.02e-872j | 
| 1.1631011385550978779e-38 + 1.71605404134749615e-2308j | 1.12e-152, 8.57e-900j | 
| 3.9138181491341059946e-70 + 1.2492577238325737391e-2323j | 1.44e-169, 1.1e-916j | 
| 0.086899260096366101028 - 2.1901451804875261861e-2288j | 1.04e-107, 7.95e-855j | 
| 0.023022757222576570828 + 1.6236097660884080725e-2288j | 2.94e-114, 2.25e-861j | 
| 0.046941760211389212045 + 4.8797823010281982921e-2288j | 8.56e-112, 6.55e-859j | 
| 1.0145465041733388532e-19 + 8.7368255862458890728e-2299j | 1.32e-141, 1.01e-888j | 
| 0.0011729608596877436559 + 1.0486778798920010647e-2289j | 1.8e-120, 1.38e-867j | 
| 4.3833306134053887181e-25 + 1.4236781233943443549e-2301j | 9.64e-145, 7.38e-892j | 
| 1.2258387872691789808e-09 + 2.2981943782340112602e-2293j | 1.2e-132, 9.22e-880j | 
| 0.15891993383788970141 + 3.9528220073702702884e-2288j | 9.05e-114, 6.93e-861j | 
| 0.13661716248762697637 - 4.4759937841070634489e-2288j | 5.12e-114, 3.92e-861j | 
| 2.1895762717612101737e-60 - 3.2075137239524909173e-2319j | 1.16e-165, 8.85e-913j | 
| 1.1104223266561465255e-66 - 3.7102406007920839563e-2322j | 4.68e-169, 3.58e-916j | 
| 3.0010698815534512951e-47 + 8.606875292196366513e-2313j | 1.78e-159, 1.36e-906j | 
| 4.5218862116370216841e-33 - 1.1585982399686742567e-2305j | 5.4e-153, 4.13e-900j | 
| 0.017002832441125828249 + 8.8499065592692417322e-2289j | 9.04e-124, 6.92e-871j | 
| 0.16127685030361065122 - 3.4645570017325496161e-2288j | 3e-124, 2.3e-871j | 
| 1.9285763533231991399e-63 + 1.145428496475186158e-2320j | 1.19e-167, 9.11e-915j | 
| 7.2739418143558021471e-09 - 6.2677317535319992065e-2293j | 5.31e-138, 4.07e-885j | 
| 1.6582990821139583279e-18 - 3.7868278179313537444e-2298j | 1.73e-145, 1.33e-892j | 
| 0.069320501513405559109 - 5.5750913129130964155e-2288j | 2.52e-131, 1.93e-878j | 
| 3.1810179751037345318e-16 - 6.0933554951127936272e-2297j | 2.08e-144, 1.6e-891j | 
| 3.8336082521763258937e-13 + 2.7256541275362595719e-2295j | 1.22e-142, 9.32e-890j | 
| 0.035304121676392388471 - 3.1178321858833099733e-2288j | 1.42e-134, 1.08e-881j | 
| 7.3221500344487448499e-35 + 1.4283598383432154215e-2306j | 1.51e-154, 1.15e-901j | 
| 0.13726277819508166781 + 2.9131698626955529025e-2288j | 4.49e-134, 3.41e-881j | 
All rules of Laguerre type can be downloaded here packed into a single file.