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) | 
|---|---|
| -7.5243884652809623351 + 6.0386915127230782566e-510j | 1.05e-243, 1.05e-243j | 
| 8.1055899232799438761 - 1.089806004150032172e-507j | 4.1e-244, 4.1e-244j | 
| 10.259043288185699292 + 2.2983707066755417035e-514j | 5.01e-246, 5.01e-246j | 
| -2.4494897427831780982 + 8.5308193665008240006e-522j | 1.12e-247, 1.12e-247j | 
| -1.7075898027094472457e-547 + 6.9155895865784824597e-548j | 9.4e-546, 9.4e-546j | 
| 11.225835546513336136 + 5.7765038198382502397e-518j | 3.28e-247, 3.28e-247j | 
| 9.4596200775255857645 + 6.8699070528144263709e-521j | 3.18e-245, 3.18e-245j | 
| -10.259043288185699292 + 2.6782060091338611541e-527j | 5.06e-246, 5.06e-246j | 
| -6.1173505205908588426 + 1.553042841746225935e-529j | 2.95e-243, 2.95e-243j | 
| 6.5802286469444798298 + 2.3608122966964390324e-541j | 2.98e-243, 2.98e-243j | 
| -3.8404632782027033067 - 5.197447217763806324e-558j | 8.28e-245, 8.28e-245j | 
| -8.7500967339077511355 + 1.748485656210583818e-557j | 1.4e-244, 1.4e-244j | 
| -11.225835546513336136 - 4.6085628612523624307e-560j | 3.66e-247, 3.66e-247j | 
| -1.5479164821821879085 - 5.6782552151403972751e-564j | 2.58e-249, 2.58e-249j | 
| -8.1055899232799438761 + 1.328254792957127491e-557j | 4.15e-244, 4.15e-244j | 
| 1 - 2.3711290908420195156e-568j | 2.3e-251, 2.3e-251j | 
| 8.7500967339077511355 + 3.3246290705839333414e-560j | 1.37e-244, 1.37e-244j | 
| 5.6569573814188518049 - 1.3381711808303414888e-581j | 3.35e-243, 3.35e-243j | 
| 5.3014763477984764883 - 2.769356941524173586e-603j | 2.76e-243, 2.76e-243j | 
| -4.5448979391212497356 + 2.5347778418108588394e-614j | 7.77e-244, 7.77e-244j | 
| 1.4277869358606113813 - 1.2827438558332421234e-619j | 1.16e-249, 1.16e-249j | 
| 2.4494897427831780982 + 9.7816626341815071211e-617j | 9.15e-248, 9.15e-248j | 
| 3.2413542140047045533 - 9.965543767459048777e-612j | 1.52e-244, 1.52e-244j | 
| -9.4596200775255857645 - 6.2204289964377258677e-621j | 3.63e-245, 3.63e-245j | 
| -2.9853708046841508504 + 2.1302721044288355625e-622j | 5.27e-246, 5.27e-246j | 
| -7.0232901629029016395 + 2.983617193908496904e-618j | 2e-243, 2e-243j | 
| -5.3014763477984764883 - 2.9397865236777619126e-618j | 2.77e-243, 2.77e-243j | 
| 4.2200436298427490803 + 8.7566100246613036523e-624j | 3.28e-244, 3.28e-244j | 
| -4.9548490584159056768 + 1.5895605364697240837e-635j | 1.66e-243, 1.66e-243j | 
| -0.6765999590903046376 + 1.2169145775532866582e-656j | 2.46e-252, 2.46e-252j | 
| -1.4277869358606113813 + 7.0971014390626617337e-648j | 1.21e-249, 1.21e-249j | 
| 6.1173505205908588426 + 2.1353447082132437882e-648j | 2.8e-243, 2.8e-243j | 
| 1.5479164821821879085 + 1.5613686767240061403e-668j | 2.53e-249, 2.53e-249j | 
| 3.2728782272458314193 + 1.001849767117484951e-662j | 1.58e-244, 1.58e-244j | 
| -4.2200436298427490803 + 3.4370276426002766204e-666j | 3.19e-244, 3.19e-244j | 
| -1.961016437141193946 - 5.8093292448010153893e-679j | 8.76e-249, 8.76e-249j | 
| 7.5243884652809623351 + 3.4051576712180599422e-674j | 1.03e-243, 1.03e-243j | 
| 1.961016437141193946 + 1.3214682432730910524e-691j | 8.08e-249, 8.08e-249j | 
| 3.8404632782027033067 + 3.440055996239126886e-686j | 9.07e-245, 9.07e-245j | 
| -6.5802286469444798298 + 7.4203096643975283214e-693j | 2.85e-243, 2.85e-243j | 
| -1 + 5.5956630199952116353e-702j | 2.18e-251, 2.18e-251j | 
| 0.6765999590903046376 - 1.9722611846251331582e-703j | 2.91e-252, 2.91e-252j | 
| 2.9853708046841508504 - 5.5724846729583564448e-695j | 5.35e-246, 5.35e-246j | 
| -5.6569573814188518049 + 2.085585052443423383e-702j | 3.34e-243, 3.34e-243j | 
| 4.9548490584159056768 - 1.0037121463275998512e-720j | 1.52e-243, 1.52e-243j | 
| -3.2728782272458314193 + 6.5196978317131270591e-729j | 1.64e-244, 1.64e-244j | 
| -3.2413542140047045533 - 7.2084182913119760749e-736j | 1.46e-244, 1.46e-244j | 
| 7.0232901629029016395 + 2.4728695027963254714e-740j | 2.29e-243, 2.29e-243j | 
| 0.43640296874272388689 - 1.1962684552604157898e-758j | 3.11e-253, 3.11e-253j | 
| 4.5448979391212497356 - 1.2392792189723817362e-748j | 6.99e-244, 6.99e-244j | 
| -0.43640296874272388689 - 5.8684364789436659992e-764j | 3.04e-253, 3.04e-253j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 1.1036062170953150276e-13 + 6.534096323801002116e-523j | 2.83e-73, 3.45e-193j | 
| 1.3263170822299450641e-15 + 9.2376403370794922536e-522j | 3.25e-75, 3.96e-195j | 
| 4.8080218570578803134e-24 + 7.2275441144328796904e-529j | 1.34e-80, 1.63e-200j | 
| 0.0098881408318278698513 + 6.4882206290424966713e-513j | 1.19e-52, 1.45e-172j | 
| 0.18115245760145640581 - 1.7122293005300748781e-511j | 1.06e-47, 1.29e-167j | 
| 1.9233705001122433359e-28 - 7.8831720122790837452e-532j | 5.96e-83, 7.27e-203j | 
| 1.1052557510228534413e-20 - 2.0332245442644789062e-526j | 5.08e-79, 6.2e-199j | 
| 4.8080218570578803134e-24 - 9.1258299169523840458e-530j | 1.54e-83, 1.88e-203j | 
| 1.4173107629338745462e-09 + 1.2270972279899827015e-518j | 3.53e-73, 4.31e-193j | 
| 7.0337173284979020451e-11 - 1.0774783113580474012e-518j | 2.03e-74, 2.48e-194j | 
| 0.00011284988462750824361 + 3.1517542467996814822e-514j | 4.27e-65, 5.21e-185j | 
| 6.3752890004970922727e-18 - 1.7113067036420415104e-525j | 2.23e-80, 2.72e-200j | 
| 1.9233705001122433359e-28 + 1.3472781143947093136e-532j | 2e-86, 2.44e-206j | 
| 0.022556350325875501652 + 1.7472042209319723228e-511j | 7.19e-53, 8.77e-173j | 
| 1.3263170822299450641e-15 + 1.1816080499645465233e-523j | 1.01e-78, 1.24e-198j | 
| 0.10521453123221843319 + 2.2503862111662585042e-511j | 1.06e-47, 1.29e-167j | 
| 6.3752890004970922727e-18 + 3.858860714201898136e-524j | 3.38e-81, 4.12e-201j | 
| 1.9076243936297357733e-08 - 1.0683911758890927665e-516j | 1.91e-75, 2.33e-195j | 
| 9.5843649715398165362e-08 + 6.2577336376624925895e-516j | 1.07e-74, 1.3e-194j | 
| 4.9579457356280512384e-06 + 3.0197783135293935133e-515j | 1.14e-72, 1.39e-192j | 
| 0.04504617245631789742 - 3.1730317189012864617e-511j | 1.38e-57, 1.68e-177j | 
| 0.0098881408318278698513 + 1.2326814781461776915e-512j | 2.66e-65, 3.24e-185j | 
| -0.00624870613352464593 + 7.8891199231207416384e-512j | 3.36e-69, 4.1e-189j | 
| 1.1052557510228534413e-20 + 1.7315962448396079714e-527j | 1.18e-84, 1.44e-204j | 
| 0.003260256987508858733 - 7.14153556096731498e-513j | 1.86e-68, 2.27e-188j | 
| 3.5633380900588297603e-12 + 5.536710233877164725e-521j | 1.36e-79, 1.66e-199j | 
| 9.5843649715398165362e-08 + 1.2198830606809855958e-516j | 3.08e-76, 3.76e-196j | 
| 1.6734266526842175131e-05 - 3.3934357886889794873e-514j | 7.4e-76, 9.02e-196j | 
| 7.5174841359475787875e-07 - 5.4954458633111767027e-516j | 2.26e-75, 2.76e-195j | 
| 0.05594926374939012673 - 2.8421630663227848552e-511j | 9.76e-64, 1.19e-183j | 
| 0.04504617245631789742 - 2.201220378104504869e-511j | 3.79e-64, 4.63e-184j | 
| 1.4173107629338745462e-09 + 9.9340485188610796919e-518j | 5.29e-80, 6.45e-200j | 
| 0.022556350325875501652 + 2.5993254971000442098e-511j | 2.67e-66, 3.26e-186j | 
| 0.0060182134893729696641 - 6.8075435709005022633e-512j | 1.9e-72, 2.31e-192j | 
| 1.6734266526842175131e-05 - 1.0271854310521161857e-514j | 1.19e-74, 1.46e-194j | 
| 0.027930583376020920242 - 2.2400608335847014009e-512j | 2.72e-69, 3.32e-189j | 
| 1.1036062170953150276e-13 - 9.8294901815036909867e-521j | 6.47e-84, 7.89e-204j | 
| 0.027930583376020920242 - 3.7206538742476906841e-512j | 2.69e-70, 3.28e-190j | 
| 0.00011284988462750824361 + 9.1343956759316243095e-514j | 1.51e-75, 1.84e-195j | 
| 7.0337173284979020451e-11 - 9.173197961541368679e-520j | 5.77e-81, 7.04e-201j | 
| 0.10521453123221843319 + 1.7444774914717307443e-511j | 2.04e-69, 2.48e-189j | 
| 0.05594926374939012673 - 3.3748453244942856881e-511j | 1.26e-69, 1.54e-189j | 
| 0.003260256987508858733 - 1.5832568457169396073e-512j | 1.44e-73, 1.76e-193j | 
| 1.9076243936297357733e-08 - 1.7413057336743370998e-517j | 7.3e-79, 8.91e-199j | 
| 7.5174841359475787875e-07 - 2.4143531548756843069e-515j | 8.11e-79, 9.88e-199j | 
| 0.0060182134893729696641 - 2.8157963734135101904e-512j | 2.87e-75, 3.5e-195j | 
| -0.00624870613352464593 + 3.2948145176610558124e-512j | 3.39e-75, 4.14e-195j | 
| 3.5633380900588297603e-12 + 1.1933929680635491099e-519j | 4.6e-85, 5.63e-205j | 
| 0.13967355462774367298 + 2.8674873085121951437e-511j | 8.04e-75, 1.05e-194j | 
| 4.9579457356280512384e-06 + 1.1248706516661149865e-514j | 1.91e-79, 2.31e-199j | 
| 0.13967355462774367298 + 2.5671524172234851564e-511j | 5.03e-75, 6.72e-195j | 
All rules of Hermite (probabilists') type can be downloaded here packed into a single file.