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.
    
Warning: This rule has negative weights!
| Node (ball center) | Error (ball radius) | 
|---|---|
| 224.50961838985233426 + 1.7685764123830158641e-2193j | 1.76e-997, 1.76e-997j | 
| 188.99722680557892197 - 3.2862998521246823745e-2190j | 8.14e-994, 8.14e-994j | 
| 199.39433629826344843 + 1.0450181759742171762e-2214j | 8.01e-995, 8.01e-995j | 
| 162.58295249925514475 + 4.2205445484836440676e-2255j | 1.64e-991, 1.64e-991j | 
| 241.43360104462915741 - 1.9401932259457233092e-2291j | 2.16e-999, 2.16e-999j | 
| 27.277030009836712903 - 1.0741267685468443774e-2314j | 8.72e-994, 8.72e-994j | 
| 96.001119928002579552 - 2.0942557705351410715e-2354j | 4.45e-988, 4.45e-988j | 
| 91.366652632889518266 - 3.6122194944983451028e-2397j | 5.1e-988, 5.1e-988j | 
| 179.51483713545656914 - 9.3152331612003883883e-2410j | 6.07e-993, 6.07e-993j | 
| 170.75307102031290086 + 4.686700909381341516e-2409j | 3.57e-992, 3.57e-992j | 
| 36.500688940991617245 + 4.5052439975242765195e-2422j | 9.65e-992, 9.65e-992j | 
| 19.520898495153572217 - 2.3072169830216806228e-2426j | 3.28e-996, 3.28e-996j | 
| 66.926130567490615853 - 1.4290173116605692792e-2417j | 1.73e-988, 1.73e-988j | 
| 140.81945582168165194 + 1.2652219389560288796e-2448j | 6.4e-990, 6.4e-990j | 
| 105.82972298796430164 + 4.2759923979588767741e-2487j | 2.85e-988, 2.85e-988j | 
| 47.321052703718097623 - 1.3246275776787324096e-2507j | 4.07e-990, 4.07e-990j | 
| 7.0858100058588375569 + 2.3020257488470294577e-2534j | 1.03e-1003, 1.03e-1003j | 
| 29.440753124124991312 + 1.0002740835163267419e-2523j | 3.11e-993, 3.11e-993j | 
| 1.8252375335498964645 + 2.7980313532372182786e-2542j | 3.79e-1011, 3.79e-1011j | 
| 147.6760011529059619 + 9.8892650323440614557e-2518j | 2.25e-990, 2.25e-990j | 
| 211.02668930187716424 - 1.7811225324048227596e-2541j | 5.02e-996, 5.02e-996j | 
| 17.796705860358404806 + 1.8189132080026356436e-2569j | 7.23e-997, 7.23e-997j | 
| 100.81849997436520319 + 3.857672564842914085e-2576j | 3.72e-988, 3.72e-988j | 
| 34.050609601842330439 - 6.3171904139035501584e-2608j | 3.45e-992, 3.45e-992j | 
| 78.469223272282909337 + 1.8008094879239345278e-2629j | 4.32e-988, 4.32e-988j | 
| 12.07635015280852735 + 4.3113198529138764601e-2691j | 1.31e-998, 1.31e-998j | 
| 23.222822527705975688 + 2.5233096647191362032e-2680j | 5.66e-995, 5.66e-995j | 
| 10.564123414844551099 - 1.3502307620304873681e-2701j | 1.92e-1000, 1.92e-1000j | 
| 74.479625761356417125 + 1.6522883819747463117e-2700j | 3.65e-988, 3.65e-988j | 
| 134.30246694075131205 + 3.937188837689808778e-2805j | 1.57e-989, 1.57e-989j | 
| 12.640800844275782659 - 1.4752318908604761311e-2869j | 1.27e-997, 1.27e-997j | 
| 116.48529134545790614 - 4.133977687191216688e-2920j | 1.26e-988, 1.26e-988j | 
| 2.9216901667522666983 + 3.108790523585484763e-2993j | 4.38e-1009, 4.38e-1009j | 
| 4.3507455848476271076 - 5.7852637453165612552e-2991j | 6.14e-1007, 6.14e-1007j | 
| 82.608852612074829913 - 3.4730613554454046843e-2972j | 4.81e-988, 4.81e-988j | 
| 44.457983522756413124 + 1.0325801975500763193e-2993j | 1.78e-990, 1.78e-990j | 
| 9.3126397252097980391 - 2.8062744024447629474e-3006j | 1.38e-1001, 1.38e-1001j | 
| 3.5964257710407220812 + 1.9224604045091329583e-3011j | 5.2e-1008, 5.2e-1008j | 
| 41.701979517177876034 - 4.9815841653629216775e-2994j | 7.11e-991, 7.11e-991j | 
| 63.351422676376636519 - 2.5747921611043807164e-2991j | 1.1e-988, 1.1e-988j | 
| 56.582534318369522034 - 1.0650252467029691686e-3007j | 3.64e-989, 3.64e-989j | 
| 25.20497786705817444 - 8.088297701323223682e-3035j | 2.48e-994, 2.48e-994j | 
| 21.328777036402404075 + 7.2316468732499712475e-3036j | 1.49e-995, 1.49e-995j | 
| 0.75861331218000151582 + 1.2191512361409316844e-3055j | 1.73e-1014, 1.73e-1014j | 
| 5.1836621195104547082 - 6.2429277638590078357e-3047j | 7.66e-1006, 7.66e-1006j | 
| 86.905430775424436623 - 6.9110546431678353358e-3028j | 5.14e-988, 5.14e-988j | 
| 0.02053861724381469098 - 2.6440004015761588206e-3076j | 1.55e-1020, 1.55e-1020j | 
| 59.90499144204425133 - 3.4984102676227221284e-3043j | 6.08e-989, 6.08e-989j | 
| 0.48365486446255778099 + 7.2789950281746077723e-3080j | 9.77e-1016, 9.77e-1016j | 
| 31.697974239725853609 + 2.9787495707938985952e-3057j | 1.02e-992, 1.02e-992j | 
| 111.04723038312265177 + 1.814864268809753338e-3052j | 1.93e-988, 1.93e-988j | 
| 70.633815083326494852 + 7.4301877180616483795e-3062j | 2.54e-988, 2.54e-988j | 
| 39.050374706662693243 + 6.428778294778601176e-3072j | 2.77e-991, 2.77e-991j | 
| 8.1571548072283289725 - 1.1161660923790083411e-3084j | 1.17e-1002, 1.17e-1002j | 
| 2.3293351929848361754 - 2.6270474086077775075e-3091j | 4.07e-1010, 4.07e-1010j | 
| 53.380101714363157 + 7.1186886091325338602e-3070j | 1.77e-989, 1.77e-989j | 
| 154.91316561080308162 - 1.0095856629311786222e-3076j | 6.64e-991, 6.64e-991j | 
| 50.294058832168681076 - 6.2305874351460239251e-3094j | 8.7e-990, 8.7e-990j | 
| 6.0951387729251138384 + 1.107528617208191206e-3142j | 9.19e-1005, 9.19e-1005j | 
| 0.2635603197181409102 - 2.2317552849586168425e-3155j | 2.42e-1017, 2.42e-1017j | 
| 0.10790436156901972008 - 1.4733707578337201725e-3157j | 7e-1019, 7e-1019j | 
| 16.151854076755070385 - 5.8809598255327055051e-3131j | 1.78e-997, 1.78e-997j | 
| 128.09187685038031944 - 2.2495650866570274783e-3125j | 3.38e-989, 3.38e-989j | 
| 14.572974326978428728 - 3.0783708267048805264e-3177j | 4.71e-998, 4.71e-998j | 
| 1.0701624724261145008 + 5.393027318717959545e-3193j | 3.01e-1013, 3.01e-1013j | 
| 1.4134030591065167922 + 2.8847926518262926739e-3192j | 3.95e-1012, 3.95e-1012j | 
| 12.78148575356269764 - 4.561050962255373679e-3177j | 1.29e-997, 1.29e-997j | 
| 122.16041248009988599 - 2.2568573223457466128e-3166j | 6.59e-989, 6.59e-989j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 4.6368437074620403873e-97 + 1.2852268637108406791e-2280j | 2.45e-166, 4.01e-911j | 
| 8.225734502696758185e-82 + 1.3799300053168748025e-2271j | 1.07e-161, 1.75e-906j | 
| 2.7757292645611502895e-86 + 1.3583918084239133961e-2274j | 3.17e-163, 5.2e-908j | 
| 1.9459631277016900258e-70 - 6.7065868101121850221e-2267j | 1.33e-158, 2.17e-903j | 
| 2.7979168481827181477e-104 - 1.8515753856861188884e-2284j | 1.11e-169, 1.82e-914j | 
| 3.0170191455668960682e-12 - 5.9356131874600937784e-2237j | 3.04e-113, 4.98e-858j | 
| 9.5845774282235562954e-42 + 1.2051339673865452064e-2252j | 2.65e-146, 4.34e-891j | 
| 9.4979023055568077494e-40 - 1.2617883851340675197e-2251j | 4.13e-145, 6.78e-890j | 
| 9.9212588512917966165e-78 - 3.4667595399780360435e-2270j | 1.96e-161, 3.21e-906j | 
| 5.8836618690614868626e-74 + 1.5321271075035894218e-2268j | 2.42e-160, 3.96e-905j | 
| 3.514043399584481532e-16 - 3.3667558042357327651e-2239j | 7.97e-126, 1.31e-870j | 
| 5.8756960628100037868e-09 - 6.7086897796276209101e-2235j | 3.23e-111, 5.3e-856j | 
| 3.1296602659960354081e-29 - 3.4383862980880643489e-2246j | 1.55e-140, 2.54e-885j | 
| 4.6527202516546430805e-61 + 2.3905214051947832621e-2262j | 1.27e-157, 2.08e-902j | 
| 5.5890626329471309418e-46 + 8.4695399490905366908e-2255j | 3.51e-151, 5.76e-896j | 
| 8.1986976759039230614e-21 - 9.8829829320111891533e-2242j | 2.8e-134, 4.59e-879j | 
| 0.00086255806120361680092 - 6.390085662437058167e-2232j | 1.21e-94, 1.98e-839j | 
| 3.6179895556736389152e-13 + 1.7178453132268065491e-2237j | 2.36e-123, 3.87e-868j | 
| 0.07374090302375630798 + 1.0401388910957140543e-2230j | 2.54e-67, 4.16e-812j | 
| 5.1600307871231441895e-64 - 8.4468410557275997393e-2264j | 9.8e-159, 1.61e-903j | 
| 2.7937641563669744984e-91 - 1.8179842386428738168e-2277j | 1.52e-168, 2.5e-913j | 
| 3.141966344747722097e-08 + 2.1766299584456627113e-2234j | 6.48e-116, 1.06e-860j | 
| 8.0606906331303348578e-44 - 1.0568672763022921015e-2253j | 4.48e-150, 7.34e-895j | 
| 3.9120271460236517389e-15 + 1.2974546678732245317e-2238j | 9.51e-129, 1.56e-873j | 
| 3.3896254565911829303e-34 + 9.0443079290481034416e-2249j | 2.44e-146, 4e-891j | 
| 1.4662629085630338365e-05 - 7.9026322901956855292e-2232j | 1.47e-112, 2.42e-857j | 
| 1.5913455113923350912e-10 - 6.5176385481111108587e-2236j | 6.4e-123, 1.05e-867j | 
| 3.3870411982006759645e-05 + 2.6896495804015743031e-2232j | 1.24e-110, 2.03e-855j | 
| 1.7653525369271502855e-32 - 7.0015535097177795968e-2248j | 1.43e-145, 2.34e-890j | 
| 2.9960940771035724584e-58 - 5.870147071526452645e-2261j | 1.28e-158, 2.09e-903j | 
| -2.5477068236818814902e-05 + 2.7256558748651671681e-2231j | 1.52e-115, 2.49e-860j | 
| 1.4310592679756718183e-50 + 4.0603560605300974113e-2257j | 1.16e-155, 1.9e-900j | 
| 0.034148671097043711913 + 4.7877115459663856395e-2231j | 1.43e-97, 2.35e-842j | 
| 0.010236329708776498938 + 2.1340693346906056141e-2231j | 2.91e-103, 4.77e-848j | 
| 5.6030361376152772997e-36 - 1.0890116118192319977e-2249j | 6.08e-148, 9.97e-893j | 
| 1.3826317956019717625e-19 + 4.5500890933886477169e-2241j | 2.64e-138, 4.34e-883j | 
| 0.00010832658091074610501 - 3.1792442549332156204e-2232j | 1.54e-115, 2.52e-860j | 
| 0.01960098025771022169 - 3.1954688877428301229e-2231j | 2.21e-104, 3.62e-849j | 
| 2.0939528424314112324e-18 - 1.9978324102639216904e-2240j | 2.72e-137, 4.46e-882j | 
| 1.0767420482362155562e-27 + 2.1928353919564700788e-2245j | 2.88e-145, 4.73e-890j | 
| 8.7091699848675879946e-25 + 7.4757003328877863114e-2244j | 5.06e-144, 8.29e-889j | 
| 2.2931381491606355768e-11 + 1.9911006604966104693e-2236j | 3.92e-131, 6.42e-876j | 
| 1.0100559845505650707e-09 + 2.097133246839550116e-2235j | 3.19e-129, 5.23e-874j | 
| 0.13898094801275821516 - 1.0024233547562203726e-2230j | 1.58e-107, 2.59e-852j | 
| 0.004890493047250843227 - 1.4241792323908491544e-2231j | 5.12e-116, 8.39e-861j | 
| 7.9192080858704754359e-38 + 1.2182936387526972583e-2250j | 3.99e-151, 6.54e-896j | 
| 0.051604244189141560927 - 5.3980687360001701034e-2232j | 1.77e-110, 2.91e-855j | 
| 3.2583074171727074425e-26 - 1.3175892810293142547e-2244j | 4.17e-145, 6.84e-890j | 
| 0.15404208663257859304 + 6.6186215677978690197e-2231j | 3.97e-111, 6.51e-856j | 
| 3.9476648688087056322e-14 - 4.808096426020679282e-2238j | 1.01e-135, 1.65e-880j | 
| 3.1560174379182674229e-48 - 6.1693075078750451727e-2256j | 5.56e-158, 9.11e-903j | 
| 7.964132717834697372e-31 + 5.0674339331059530271e-2247j | 9.19e-148, 1.51e-892j | 
| 2.8553034208460088802e-17 + 8.3817935858458416945e-2240j | 1.29e-139, 2.12e-884j | 
| 0.00031893980994412827666 + 4.3853453079640600973e-2232j | 5.02e-128, 8.23e-873j | 
| 0.05349809007016685823 - 7.1639566688054248641e-2231j | 7.28e-122, 1.19e-866j | 
| 2.064198512774991282e-23 - 4.0136976273134755417e-2243j | 1.85e-144, 3.03e-889j | 
| 3.9251448927368982187e-67 + 2.5688117046063590623e-2265j | 1.39e-168, 2.28e-913j | 
| 4.3537679853320218799e-22 + 2.0433364129201624669e-2242j | 6.53e-144, 1.07e-888j | 
| 0.002143163593639061196 + 9.5088218962629491277e-2232j | 2.44e-130, 4e-875j | 
| 0.1450876972728335835 - 3.925712012176986107e-2231j | 1.63e-125, 2.68e-870j | 
| 0.10941227909394909404 + 1.9254505762656158751e-2231j | 1.8e-125, 2.94e-870j | 
| 1.5545423590086540576e-07 - 7.4681960457947592709e-2234j | 1.17e-135, 1.92e-880j | 
| 1.4235448329070165588e-55 + 1.2623298634911260461e-2259j | 1.22e-163, 2e-908j | 
| 7.3114153238910864439e-07 + 3.0623260054696672282e-2233j | 8.83e-136, 1.45e-880j | 
| 0.11124616292258383348 + 1.304585009790074318e-2230j | 4.56e-131, 7.46e-876j | 
| 0.090032049424981341222 - 1.3209565392223944054e-2230j | 2.07e-131, 3.39e-876j | 
| 2.2096141268659575352e-05 - 2.0918314288403136229e-2231j | 4.95e-134, 8.09e-879j | 
| 5.1265016639849922889e-53 - 2.3985680664251420511e-2258j | 2.32e-162, 3.8e-907j | 
All rules of Laguerre type can be downloaded here packed into a single file.