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) | 
|---|---|
| 175.21462178116884355 - 3.9255417629741721414e-2719j | 4.31e-999, 4.31e-999j | 
| 203.86788771463309476 - 5.6493386145354570145e-2727j | 3.09e-1002, 3.09e-1002j | 
| 187.89608259251523674 - 5.0944965069318536409e-2728j | 1.82e-1000, 1.82e-1000j | 
| 164.3078876930824716 - 1.1930845753923467018e-2768j | 5.15e-998, 5.15e-998j | 
| 137.6109440938872833 + 2.4625926846112353151e-2859j | 1.17e-995, 1.17e-995j | 
| 93.01265620423128885 + 9.7025899475033928075e-2948j | 4.18e-993, 4.18e-993j | 
| 44.234908480945332723 - 1.8882810899377857614e-2988j | 2.72e-994, 2.72e-994j | 
| 25.622323487264852391 + 4.8665381294458252507e-3030j | 2.38e-997, 2.38e-997j | 
| 82.98506788905861126 - 1.090881277417290236e-3108j | 7.12e-993, 7.12e-993j | 
| 122.96132018335487073 + 2.1210530117185122828e-3209j | 1.38e-994, 1.38e-994j | 
| 14.05833627068033742 + 4.9940938259304771619e-3259j | 4.16e-1001, 4.16e-1001j | 
| 6.5912401281057108452 - 3.9935924687814378875e-3271j | 6.12e-1004, 6.12e-1004j | 
| 104.05318457786583686 - 2.7871909808288429046e-3280j | 1.6e-993, 1.6e-993j | 
| 87.881879705603584965 - 2.8037844890550546659e-3320j | 6e-993, 6e-993j | 
| 11.010451524894569593 + 1.6857345649198328193e-3341j | 1.41e-1002, 1.41e-1002j | 
| 15.72837193831587311 + 9.3518405386022445684e-3340j | 2.08e-1000, 2.08e-1000j | 
| 47.402207252572476634 + 2.1186795033844419904e-3331j | 5.3e-994, 5.3e-994j | 
| 38.300929903856938589 + 2.6666560406645229531e-3337j | 5.13e-995, 5.13e-995j | 
| 32.873654993471281805 + 7.9538760591996319842e-3339j | 7.31e-996, 7.31e-996j | 
| 154.58892551912629736 + 4.6478687326686475768e-3337j | 3.86e-997, 3.86e-997j | 
| 5.1733699010243677936 - 1.9389281454012474215e-3364j | 9.15e-1007, 9.15e-1007j | 
| 98.39582918241567905 - 1.1256132113028793365e-3349j | 2.75e-993, 2.75e-993j | 
| 41.202616543887146159 + 1.9220336246130507521e-3362j | 1.17e-994, 1.17e-994j | 
| 4.2407788646313611891 - 1.3408497594781478614e-3376j | 5.18e-1008, 5.18e-1008j | 
| 145.75174900481094695 - 6.0409919696553520576e-3361j | 2.53e-996, 2.53e-996j | 
| 73.832409823495825223 - 1.6291642475372471376e-3364j | 7.94e-993, 7.94e-993j | 
| 2.0438318360945004245 + 5.9463922334216061989e-3409j | 1.63e-1011, 1.63e-1011j | 
| 8.3226315504534469957 - 1.7546052786466698852e-3401j | 5.31e-1004, 5.31e-1004j | 
| 130.04323897886679568 - 1.3094601933018517391e-3391j | 4.6e-995, 4.6e-995j | 
| 69.551075717058884665 + 1.7307815623294055137e-3424j | 6.92e-993, 6.92e-993j | 
| 6.4305806617660342325 + 1.1955884989323888869e-3466j | 3.12e-1004, 3.12e-1004j | 
| 21.347791098059002164 + 1.0540731817044929418e-3461j | 1.69e-998, 1.69e-998j | 
| 2.6828720421353367779 + 2.5382008494829008639e-3473j | 2.43e-1010, 2.43e-1010j | 
| 12.486507079040894342 - 1.7083432686191885985e-3464j | 7.85e-1002, 7.85e-1002j | 
| 6.9239565457104964806 + 1.8373493049435242887e-3466j | 4.19e-1004, 4.19e-1004j | 
| 116.30042668824174322 - 1.4514084580317338014e-3455j | 3.55e-994, 3.55e-994j | 
| 57.765069540554594845 - 7.5420272189588225021e-3463j | 3.13e-993, 3.13e-993j | 
| 1.4962504791434361144 - 3.2010582006719666847e-3488j | 1.27e-1012, 1.27e-1012j | 
| 1.0406748406401594478 + 8.4067904856791514334e-3489j | 1.51e-1013, 1.51e-1013j | 
| 9.6262397044997838737 - 5.6579027247368688633e-3479j | 2.65e-1003, 2.65e-1003j | 
| 17.498647553764944174 + 4.8354169909808742829e-3475j | 9.53e-1000, 9.53e-1000j | 
| 35.525833300045040426 - 4.1756777208019744885e-3470j | 2.09e-995, 2.09e-995j | 
| 3.4142135623730950488 + 1.0351760391431197928e-3484j | 3.45e-1009, 3.45e-1009j | 
| 0.66928049756728044934 + 1.8096224087655317496e-3489j | 5.19e-1014, 5.19e-1014j | 
| 54.161671954104974574 + 2.9741730266816731361e-3468j | 1.91e-993, 1.91e-993j | 
| 27.924867528792308437 - 3.6242021418879631126e-3479j | 7.8e-997, 7.8e-997j | 
| 50.70935069894734308 + 2.0547213611674004565e-3474j | 1.09e-993, 1.09e-993j | 
| 0.5857864376269049512 - 4.4762555799466860796e-3513j | 3.39e-1014, 3.39e-1014j | 
| 0.47193845768537280597 - 8.600621391054869592e-3514j | 5.33e-1015, 5.33e-1015j | 
| 23.430773884794543467 - 2.7745654063545101619e-3493j | 6.51e-998, 6.51e-998j | 
| 61.526091310294717553 + 1.9474045661995973786e-3502j | 4.2e-993, 4.2e-993j | 
| 110.01080995492003274 - 1.9341458237649546146e-3567j | 7.94e-994, 7.94e-994j | 
| 65.452035801340535467 - 4.1687186090919222254e-3636j | 5.57e-993, 5.57e-993j | 
| 0.28163726483522308367 + 1.5866862557709734663e-3697j | 8.66e-1017, 8.66e-1017j | 
| 19.371119417055191707 + 2.5471321830358375306e-3674j | 4.6e-999, 4.6e-999j | 
| 0.023677849122602471897 + 8.5644285168435224305e-3718j | 1.57e-1020, 1.57e-1020j | 
| 78.306451808781001307 + 2.0108073840339619966e-3694j | 8.22e-993, 8.22e-993j | 
| 0.12211744905067718704 - 8.7934137467132561885e-3743j | 1.39e-1018, 1.39e-1018j | 
| 30.341029910027634462 - 5.6034776300813801325e-3718j | 2.49e-996, 2.49e-996j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 9.3724447791655309587e-76 + 1.8930357422900983866e-2794j | 6.45e-184, 8.29e-933j | 
| 5.4578488281159154008e-88 - 6.6677436270622593513e-2802j | 3.25e-188, 4.18e-937j | 
| 3.478109912579616748e-81 + 4.6788992772800673347e-2798j | 5.89e-186, 7.56e-935j | 
| 4.493448918372848699e-71 - 8.6995875672434538035e-2793j | 3.76e-183, 4.84e-932j | 
| 1.350493362741314757e-59 + 2.1751867069120295144e-2787j | 4.15e-180, 5.33e-929j | 
| 2.1163027143714111968e-40 - 1.0785287198851576856e-2777j | 1.84e-172, 2.37e-921j | 
| 1.9065523237382345728e-19 - 1.439829381487150095e-2766j | 2.51e-157, 3.22e-906j | 
| 1.6745464673235754402e-11 + 5.3948893543034281037e-2762j | 7.99e-146, 1.03e-894j | 
| 4.3646583071366346355e-36 - 1.8556270436692790276e-2775j | 1.61e-170, 2.07e-919j | 
| 2.7228967405120621397e-53 + 2.9654604469368252902e-2784j | 3.9e-179, 5.01e-928j | 
| 1.2711936912804375205e-06 + 8.9717419474131973533e-2759j | 2.5e-136, 3.21e-885j | 
| -0.008092498616472918502 + 1.3883252817756139016e-2754j | 1.9e-121, 2.44e-870j | 
| 3.7489369269936479136e-45 - 3.9249878447499019229e-2780j | 1.03e-175, 1.32e-924j | 
| 3.4143327698555945007e-38 + 1.4935782836233306413e-2776j | 8.58e-172, 1.1e-920j | 
| 2.3622472479116372126e-05 + 9.4860445497165248596e-2758j | 1.72e-133, 2.2e-882j | 
| 2.539452766973806524e-07 - 2.773539667582231477e-2759j | 4.38e-140, 5.63e-889j | 
| 8.3857495342720867606e-21 + 2.5690008076061101497e-2767j | 1.2e-161, 1.55e-910j | 
| 6.5931352370681026076e-17 - 3.7881552086830270745e-2765j | 5.35e-158, 6.87e-907j | 
| 1.3701413341205548897e-14 - 8.0063919674075191159e-2764j | 1.69e-155, 2.16e-904j | 
| 6.7383212888287768555e-67 + 6.5808870446904407099e-2791j | 3.56e-186, 4.57e-935j | 
| 0.0056475200781813904263 + 1.4613026748378259214e-2755j | 1.16e-127, 1.49e-876j | 
| 1.0206647882015151057e-42 + 6.9301056327822890539e-2779j | 7.72e-176, 9.92e-925j | 
| 3.7856853844946814475e-18 + 7.6000039010948377737e-2766j | 1.79e-160, 2.31e-909j | 
| 0.012615785270056555919 - 1.8686921143362868053e-2755j | 9.84e-128, 1.26e-876j | 
| 4.2502946536075381878e-63 - 4.2521919169010562428e-2789j | 5.44e-185, 6.99e-934j | 
| 3.7675002290587459466e-32 - 2.1265525701147965087e-2773j | 1.8e-172, 2.31e-921j | 
| 0.076849003761136554043 + 9.5376929746415204306e-2755j | 5.15e-123, 6.62e-872j | 
| 0.00030960417381433274716 + 1.3804265656340527205e-2756j | 2.82e-140, 3.62e-889j | 
| 2.4378240996226824067e-56 - 8.8918889104445958251e-2786j | 9.72e-183, 1.25e-931j | 
| 2.6086529800451855256e-30 + 1.9849838077445387374e-2772j | 6.18e-172, 7.94e-921j | 
| 0.0080220839425521210654 - 1.0898764317055676641e-2754j | 6.13e-138, 7.88e-887j | 
| 1.08680980297542413e-09 + 7.2269536538304851524e-2761j | 1.65e-155, 2.11e-904j | 
| 0.046826266914941465246 - 5.0130221433485592235e-2755j | 1.59e-131, 2.04e-880j | 
| 5.754581653821225376e-06 - 2.8919420352595310535e-2758j | 1.57e-147, 2.01e-896j | 
| 0.0028761235415316054607 - 3.7927467199720398766e-2755j | 1.38e-139, 1.77e-888j | 
| 2.0050874730734883198e-50 - 8.2342659902680246511e-2783j | 5.67e-181, 7.29e-930j | 
| 3.012464180256994907e-25 - 9.8942849581338343002e-2770j | 3.16e-170, 4.06e-919j | 
| 0.11238480590344187396 - 2.0782967523634938365e-2754j | 1.36e-132, 1.75e-881j | 
| 0.14451095509630766678 + 5.8917116766658617019e-2754j | 2.04e-131, 2.62e-880j | 
| 8.8448753917041961436e-05 - 3.304513404419061377e-2757j | 3.55e-146, 4.56e-895j | 
| 4.5788343905689850014e-08 + 8.4392306216006976001e-2760j | 5.16e-154, 6.63e-903j | 
| 1.0110782822513120777e-15 + 1.7875983088265464198e-2764j | 7.38e-163, 9.49e-912j | 
| 0.025604031137022451065 + 2.9036905431172026368e-2755j | 5.09e-141, 6.54e-890j | 
| 0.20134200342538239835 - 5.6485681628550566253e-2753j | 1.78e-136, 2.28e-885j | 
| 1.0599092566980301325e-23 + 6.7550265371667742132e-2769j | 1.6e-169, 2.05e-918j | 
| 1.7583015136839569394e-12 - 1.3872334287525853191e-2762j | 1.52e-161, 1.96e-910j | 
| 3.2060563982088280271e-22 - 4.3049036945341444354e-2768j | 1.77e-168, 2.27e-917j | 
| -0.086090660838818633563 + 9.0980309883738039412e-2753j | 9.44e-142, 1.21e-890j | 
| 0.14608408359699392035 - 4.750192516712922254e-2753j | 3.24e-142, 4.16e-891j | 
| 1.425357054673334319e-10 - 2.0127173664103661884e-2761j | 3.55e-160, 4.56e-909j | 
| 7.3137117106191758874e-27 + 1.3482070850618571786e-2770j | 2.49e-172, 3.2e-921j | 
| 1.0221301653626409143e-47 + 1.9379292603839847036e-2781j | 2.52e-183, 3.23e-932j | 
| 1.5059138182904215868e-28 - 1.7026880207538924234e-2771j | 1.21e-173, 1.56e-922j | 
| 0.1332413084738789818 + 1.1009383898454754299e-2753j | 1.13e-151, 1.45e-900j | 
| 7.4385242931087952817e-09 - 2.50687200993268662e-2760j | 1.79e-161, 2.3e-910j | 
| 0.059098665024301620328 + 6.3001192113556581645e-2755j | 5.09e-154, 6.56e-903j | 
| 4.4901080385456184923e-34 + 2.0831885130617160307e-2774j | 8.66e-177, 1.11e-925j | 
| 0.11865151369383379735 - 3.07801284465865369e-2754j | 1.43e-154, 1.91e-903j | 
| 1.6460396209062597345e-13 + 3.4121184108239560457e-2763j | 5.16e-165, 6.62e-914j | 
All rules of Laguerre type can be downloaded here packed into a single file.