﻿ Factored Expansion 2

Please note the comma in the list: { , , }

All the polynomials seen here are mathematically related to each other by a single process.

$y=\left[\begin{array}{c}{y}_{0}\end{array}\right]·\phantom{\rule{0.5em}{0ex}}\left\{\phantom{\rule{0.5em}{0ex}}\frac{1}{1}·\left[\begin{array}{c}1\end{array}\right]\phantom{\rule{0.5em}{0ex}}\right\}$

$y=\left[\begin{array}{cc}{y}_{0}& {y}_{1}\end{array}\right]·\phantom{\rule{0.5em}{0ex}}\left\{\phantom{\rule{0.5em}{0ex}}\frac{1}{2}·\left[\begin{array}{c}1\\ 1\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{1}·\left[\begin{array}{c}1-x\\ x\end{array}\right]\phantom{\rule{0.5em}{0ex}}\right\}$

$y=\left[\begin{array}{ccc}{y}_{0}& {y}_{1}& {y}_{2}\end{array}\right]·\phantom{\rule{0.5em}{0ex}}\left\{\phantom{\rule{0.5em}{0ex}}\frac{1}{3}·\left[\begin{array}{c}1\\ 1\\ 1\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{6}·\left[\begin{array}{c}5-3x\\ 2\\ 3x-1\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{2}·\left[\begin{array}{c}{x}^{2}-3x+2\\ 4x-2{x}^{2}\\ {x}^{2}-x\end{array}\right]\phantom{\rule{0.5em}{0ex}}\right\}$

$y=\left[\begin{array}{cccc}{y}_{0}& {y}_{1}& {y}_{2}& {y}_{3}\end{array}\right]·\phantom{\rule{0.5em}{0ex}}\left\{\phantom{\rule{0.5em}{0ex}}\frac{1}{4}·\left[\begin{array}{c}1\\ 1\\ 1\\ 1\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{10}·\left[\begin{array}{c}7-3x\\ 4-x\\ x+1\\ 3x-2\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{20}·\left[\begin{array}{c}5{x}^{2}-21x+19\\ -5{x}^{2}+13x+3\\ -5{x}^{2}+17x-3\\ 5{x}^{2}-9x+1\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{6}·\left[\begin{array}{c}-{x}^{3}+6{x}^{2}-11x+6\\ 3{x}^{3}-15{x}^{2}+18x\\ -3{x}^{3}+12{x}^{2}-9x\\ {x}^{3}-3{x}^{2}+2x\end{array}\right]\phantom{\rule{0.5em}{0ex}}\right\}$

$y=\left[\begin{array}{ccccc}{y}_{0}& {y}_{1}& {y}_{2}& {y}_{3}& {y}_{4}\end{array}\right]·\phantom{\rule{0.5em}{0ex}}\left\{\phantom{\rule{0.5em}{0ex}}\frac{1}{5}·\left[\begin{array}{c}1\\ 1\\ 1\\ 1\\ 1\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{10}·\left[\begin{array}{c}6-2x\\ 4-x\\ 2\\ x\\ 2x-2\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{70}·\left[\begin{array}{c}10{x}^{2}-54x+62\\ -5{x}^{2}+13x+18\\ -10{x}^{2}+40x-6\\ -5{x}^{2}+27x-10\\ 10{x}^{2}-26x+6\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{420}·\left[\begin{array}{c}-35{x}^{3}+270{x}^{2}-625x+414\\ 70{x}^{3}-450{x}^{2}+680x+24\\ -60{x}^{2}+240x-36\\ -70{x}^{3}+390{x}^{2}-440x+24\\ 35{x}^{3}-150{x}^{2}+145x-6\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{24}·\left[\begin{array}{c}{x}^{4}-10{x}^{3}+35{x}^{2}-50x+24\\ -4{x}^{4}+36{x}^{3}-104{x}^{2}+96x\\ 6{x}^{4}-48{x}^{3}+114{x}^{2}-72x\\ -4{x}^{4}+28{x}^{3}-56{x}^{2}+32x\\ {x}^{4}-6{x}^{3}+11{x}^{2}-6x\end{array}\right]\phantom{\rule{0.5em}{0ex}}\right\}$

$y=\left[\begin{array}{cccccc}{y}_{0}& {y}_{1}& {y}_{2}& {y}_{3}& {y}_{4}& {y}_{5}\end{array}\right]·\phantom{\rule{0.5em}{0ex}}\left\{\phantom{\rule{0.5em}{0ex}}\frac{1}{6}·\left[\begin{array}{c}1\\ 1\\ 1\\ 1\\ 1\\ 1\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{105}·\left[\begin{array}{c}55-15x\\ 40-9x\\ 25-3x\\ 3x+10\\ 9x-5\\ 15x-20\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{280}·\left[\begin{array}{c}25{x}^{2}-165x+230\\ -5{x}^{2}+x+90\\ 92x-20{x}^{2}\\ -20{x}^{2}+108x-40\\ -5{x}^{2}+49x-30\\ 25{x}^{2}-85x+30\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{756}·\left[\begin{array}{c}-35{x}^{3}+330{x}^{2}-925x+726\\ 49{x}^{3}-381{x}^{2}+674x+96\\ 28{x}^{3}-264{x}^{2}+632x-84\\ -28{x}^{3}+156{x}^{2}-92x-24\\ -49{x}^{3}+354{x}^{2}-539x+66\\ 35{x}^{3}-195{x}^{2}+250x-24\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{3024}·\left[\begin{array}{c}63{x}^{4}-770{x}^{3}+3255{x}^{2}-5500x+3012\\ -189{x}^{4}+2086{x}^{3}-7329{x}^{2}+8096x+60\\ 126{x}^{4}-1148{x}^{3}+2814{x}^{2}-1072x-120\\ 126{x}^{4}-1372{x}^{3}+4494{x}^{2}-3968x+120\\ -189{x}^{4}+1694{x}^{3}-4389{x}^{2}+3244x-60\\ 63{x}^{4}-490{x}^{3}+1155{x}^{2}-800x+12\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{120}·\left[\begin{array}{c}-{x}^{5}+15{x}^{4}-85{x}^{3}+225{x}^{2}-274x+120\\ 5{x}^{5}-70{x}^{4}+355{x}^{3}-770{x}^{2}+600x\\ -10{x}^{5}+130{x}^{4}-590{x}^{3}+1070{x}^{2}-600x\\ 10{x}^{5}-120{x}^{4}+490{x}^{3}-780{x}^{2}+400x\\ -5{x}^{5}+55{x}^{4}-205{x}^{3}+305{x}^{2}-150x\\ {x}^{5}-10{x}^{4}+35{x}^{3}-50{x}^{2}+24x\end{array}\right]\phantom{\rule{0.5em}{0ex}}\right\}$

$y=\left[\begin{array}{ccccccc}{y}_{0}& {y}_{1}& {y}_{2}& {y}_{3}& {y}_{4}& {y}_{5}& {y}_{6}\end{array}\right]·\phantom{\rule{0.5em}{0ex}}\left\{\phantom{\rule{0.5em}{0ex}}\frac{1}{7}·\left[\begin{array}{c}1\\ 1\\ 1\\ 1\\ 1\\ 1\\ 1\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{28}·\left[\begin{array}{c}13-3x\\ 10-2x\\ 7-x\\ 4\\ x+1\\ 2x-2\\ 3x-5\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{84}·\left[\begin{array}{c}5{x}^{2}-39x+64\\ 30-6x\\ -3{x}^{2}+15x+6\\ -4{x}^{2}+24x-8\\ -3{x}^{2}+21x-12\\ 6x-6\\ 5{x}^{2}-21x+10\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{252}·\left[\begin{array}{c}-7{x}^{3}+78{x}^{2}-257x+234\\ 7{x}^{3}-63{x}^{2}+122x+48\\ 7{x}^{3}-72{x}^{2}+185x-24\\ -12{x}^{2}+72x-24\\ -7{x}^{3}+54{x}^{2}-77x+6\\ -7{x}^{3}+63{x}^{2}-122x+24\\ 7{x}^{3}-48{x}^{2}+77x-12\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{5544}·\left[\begin{array}{c}63{x}^{4}-910{x}^{3}+4515{x}^{2}-8840x+5472\\ -147{x}^{4}+1918{x}^{3}-7917{x}^{2}+10118x+300\\ 21{x}^{4}-98{x}^{3}-651{x}^{2}+3008x-420\\ 126{x}^{4}-1512{x}^{3}+5334{x}^{2}-4788x+120\\ 21{x}^{4}-406{x}^{3}+2121{x}^{2}-2756x+240\\ -147{x}^{4}+1610{x}^{3}-5145{x}^{2}+4750x-228\\ 63{x}^{4}-602{x}^{3}+1743{x}^{2}-1492x+60\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{18480}·\left[\begin{array}{c}-77{x}^{5}+1365{x}^{4}-9065{x}^{3}+27755{x}^{2}-38318x+18460\\ 308{x}^{5}-5110{x}^{4}+30520{x}^{3}-77210{x}^{2}+69132x+120\\ -385{x}^{5}+5845{x}^{4}-30485{x}^{3}+61355{x}^{2}-34230x-300\\ 420{x}^{4}-5040{x}^{3}+17780{x}^{2}-15960x+400\\ 385{x}^{5}-5705{x}^{4}+28805{x}^{3}-56455{x}^{2}+35070x-300\\ -308{x}^{5}+4130{x}^{4}-18760{x}^{3}+33670{x}^{2}-19572x+120\\ 77{x}^{5}-945{x}^{4}+4025{x}^{3}-6895{x}^{2}+3878x-20\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{720}·\left[\begin{array}{c}{x}^{6}-21{x}^{5}+175{x}^{4}-735{x}^{3}+1624{x}^{2}-1764x+720\\ -6{x}^{6}+120{x}^{5}-930{x}^{4}+3480{x}^{3}-6264{x}^{2}+4320x\\ 15{x}^{6}-285{x}^{5}+2055{x}^{4}-6915{x}^{3}+10530{x}^{2}-5400x\\ -20{x}^{6}+360{x}^{5}-2420{x}^{4}+7440{x}^{3}-10160{x}^{2}+4800x\\ 15{x}^{6}-255{x}^{5}+1605{x}^{4}-4605{x}^{3}+5940{x}^{2}-2700x\\ -6{x}^{6}+96{x}^{5}-570{x}^{4}+1560{x}^{3}-1944{x}^{2}+864x\\ {x}^{6}-15{x}^{5}+85{x}^{4}-225{x}^{3}+274{x}^{2}-120x\end{array}\right]\phantom{\rule{0.5em}{0ex}}\right\}$

$y=\left[\begin{array}{cccccccc}{y}_{0}& {y}_{1}& {y}_{2}& {y}_{3}& {y}_{4}& {y}_{5}& {y}_{6}& {y}_{7}\end{array}\right]·\phantom{\rule{0.5em}{0ex}}\left\{\phantom{\rule{0.5em}{0ex}}\frac{1}{8}·\left[\begin{array}{c}1\\ 1\\ 1\\ 1\\ 1\\ 1\\ 1\\ 1\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{84}·\left[\begin{array}{c}35-7x\\ 28-5x\\ 21-3x\\ 14-x\\ x+7\\ 3x\\ 5x-7\\ 7x-14\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{168}·\left[\begin{array}{c}7{x}^{2}-63x+119\\ {x}^{2}-17x+63\\ -3{x}^{2}+15x+21\\ -5{x}^{2}+33x-7\\ -5{x}^{2}+37x-21\\ -3{x}^{2}+27x-21\\ {x}^{2}+3x-7\\ 7{x}^{2}-35x+21\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{2772}·\left[\begin{array}{c}-49{x}^{3}+630{x}^{2}-2387x+2478\\ 35{x}^{3}-351{x}^{2}+682x+672\\ 49{x}^{3}-564{x}^{2}+1595x-168\\ 21{x}^{3}-303{x}^{2}+1122x-336\\ -21{x}^{3}+138{x}^{2}+33x-126\\ -49{x}^{3}+465{x}^{2}-902x+168\\ -35{x}^{3}+384{x}^{2}-913x+252\\ 49{x}^{3}-399{x}^{2}+770x-168\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{22176}·\left[\begin{array}{c}147{x}^{4}-2450{x}^{3}+13965{x}^{2}-31150x+21588\\ -273{x}^{4}+4102{x}^{3}-19383{x}^{2}+27842x+2100\\ -63{x}^{4}+1274{x}^{3}-8337{x}^{2}+17926x-2100\\ 189{x}^{4}-2478{x}^{3}+9051{x}^{2}-6522x-420\\ 189{x}^{4}-2814{x}^{3}+12579{x}^{2}-15234x+1260\\ -63{x}^{4}+490{x}^{3}-105{x}^{2}-2050x+588\\ -273{x}^{4}+3542{x}^{3}-13503{x}^{2}+15082x-1260\\ 147{x}^{4}-1666{x}^{3}+5733{x}^{2}-5894x+420\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{34320}·\left[\begin{array}{c}-77{x}^{5}+1575{x}^{4}-12005{x}^{3}+41825{x}^{2}-64778x+34180\\ 253{x}^{5}-4850{x}^{4}+33335{x}^{3}-96410{x}^{2}+97532x+720\\ -187{x}^{5}+3175{x}^{4}-17975{x}^{3}+36185{x}^{2}-12498x-1380\\ -165{x}^{5}+3180{x}^{4}-21435{x}^{3}+57320{x}^{2}-45600x+1000\\ 165{x}^{5}-2595{x}^{4}+13245{x}^{3}-23845{x}^{2}+11930x+300\\ 187{x}^{5}-3370{x}^{4}+20705{x}^{3}-49250{x}^{2}+37068x-960\\ -253{x}^{5}+4005{x}^{4}-21505{x}^{3}+45515{x}^{2}-31102x+580\\ 77{x}^{5}-1120{x}^{4}+5635{x}^{3}-11340{x}^{2}+7448x-120\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{205920}·\left[\begin{array}{c}143{x}^{6}-3465{x}^{5}+33110{x}^{4}-158025{x}^{3}+391727{x}^{2}-468930x+205860\\ -715{x}^{6}+16533{x}^{5}-147400{x}^{4}+629985{x}^{3}-1282345{x}^{2}+986502x+420\\ 1287{x}^{6}-28149{x}^{5}+231990{x}^{4}-881805{x}^{3}+1484103{x}^{2}-797346x-1260\\ -715{x}^{6}+14025{x}^{5}-99220{x}^{4}+301365{x}^{3}-359965{x}^{2}+127710x+2100\\ -715{x}^{6}+16005{x}^{5}-133870{x}^{4}+509445{x}^{3}-846955{x}^{2}+472890x-2100\\ 1287{x}^{6}-25905{x}^{5}+192720{x}^{4}-649725{x}^{3}+971493{x}^{2}-499950x+1260\\ -715{x}^{6}+13497{x}^{5}-94270{x}^{4}+300945{x}^{3}-430795{x}^{2}+214698x-420\\ 143{x}^{6}-2541{x}^{5}+16940{x}^{4}-52185{x}^{3}+72737{x}^{2}-35574x+60\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{5040}·\left[\begin{array}{c}-{x}^{7}+28{x}^{6}-322{x}^{5}+1960{x}^{4}-6769{x}^{3}+13132{x}^{2}-13068x+5040\\ 7{x}^{7}-189{x}^{6}+2065{x}^{5}-11655{x}^{4}+35728{x}^{3}-56196{x}^{2}+35280x\\ -21{x}^{7}+546{x}^{6}-5670{x}^{5}+29820{x}^{4}-82509{x}^{3}+110754{x}^{2}-52920x\\ 35{x}^{7}-875{x}^{6}+8645{x}^{5}-42665{x}^{4}+108920{x}^{3}-132860{x}^{2}+58800x\\ -35{x}^{7}+840{x}^{6}-7910{x}^{5}+36960{x}^{4}-89075{x}^{3}+103320{x}^{2}-44100x\\ 21{x}^{7}-483{x}^{6}+4347{x}^{5}-19425{x}^{4}+45024{x}^{3}-50652{x}^{2}+21168x\\ -7{x}^{7}+154{x}^{6}-1330{x}^{5}+5740{x}^{4}-12943{x}^{3}+14266{x}^{2}-5880x\\ {x}^{7}-21{x}^{6}+175{x}^{5}-735{x}^{4}+1624{x}^{3}-1764{x}^{2}+720x\end{array}\right]\phantom{\rule{0.5em}{0ex}}\right\}$

$y=\left[\begin{array}{ccccccccc}{y}_{0}& {y}_{1}& {y}_{2}& {y}_{3}& {y}_{4}& {y}_{5}& {y}_{6}& {y}_{7}& {y}_{8}\end{array}\right]·\phantom{\rule{0.5em}{0ex}}\left\{\phantom{\rule{0.5em}{0ex}}\frac{1}{9}·\left[\begin{array}{c}1\\ 1\\ 1\\ 1\\ 1\\ 1\\ 1\\ 1\\ 1\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{180}·\left[\begin{array}{c}68-12x\\ 56-9x\\ 44-6x\\ 32-3x\\ 20\\ 3x+8\\ 6x-4\\ 9x-16\\ 12x-28\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{4620}·\left[\begin{array}{c}140{x}^{2}-1428x+3052\\ 35{x}^{2}-511x+1764\\ -40{x}^{2}+166x+756\\ -85{x}^{2}+603x+28\\ -100{x}^{2}+800x-420\\ -85{x}^{2}+757x-588\\ -40{x}^{2}+474x-476\\ 35{x}^{2}-49x-84\\ 140{x}^{2}-812x+588\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{8316}·\left[\begin{array}{c}-98{x}^{3}+1428{x}^{2}-6118x+7140\\ 49{x}^{3}-525{x}^{2}+854x+2352\\ 91{x}^{3}-1164{x}^{2}+3593x-168\\ 63{x}^{3}-909{x}^{2}+3366x-1008\\ -180{x}^{2}+1440x-756\\ -63{x}^{3}+603{x}^{2}-918x\\ -91{x}^{3}+1020{x}^{2}-2441x+672\\ -49{x}^{3}+651{x}^{2}-1862x+672\\ 98{x}^{3}-924{x}^{2}+2086x-588\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{30888}·\left[\begin{array}{c}126{x}^{4}-2380{x}^{3}+15330{x}^{2}-38420x+29544\\ -189{x}^{4}+3206{x}^{3}-16989{x}^{2}+26716x+4200\\ -99{x}^{4}+1922{x}^{3}-12201{x}^{2}+25678x-3000\\ 81{x}^{4}-1062{x}^{3}+3069{x}^{2}+2412x-1800\\ 162{x}^{4}-2592{x}^{3}+12222{x}^{2}-14832x+1080\\ 81{x}^{4}-1530{x}^{3}+8685{x}^{2}-13500x+1944\\ -99{x}^{4}+1246{x}^{3}-4089{x}^{2}+3266x+120\\ -189{x}^{4}+2842{x}^{3}-12621{x}^{2}+16628x-2040\\ 126{x}^{4}-1652{x}^{3}+6594{x}^{2}-7948x+840\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{34320}·\left[\begin{array}{c}-44{x}^{5}+1020{x}^{4}-8780{x}^{3}+34340{x}^{2}-59096x+34000\\ 121{x}^{5}-2630{x}^{4}+20435{x}^{3}-66470{x}^{2}+74804x+1440\\ -44{x}^{5}+770{x}^{4}-4000{x}^{3}+3750{x}^{2}+12124x-2160\\ -99{x}^{5}+2070{x}^{4}-14985{x}^{3}+42350{x}^{2}-34236x+640\\ 180{x}^{4}-2880{x}^{3}+13580{x}^{2}-16480x+1200\\ 99{x}^{5}-1890{x}^{4}+12105{x}^{3}-29290{x}^{2}+21916x-480\\ 44{x}^{5}-990{x}^{4}+7520{x}^{3}-21850{x}^{2}+20036x-1040\\ -121{x}^{5}+2210{x}^{4}-13715{x}^{3}+33570{x}^{2}-26644x+960\\ 44{x}^{5}-740{x}^{4}+4300{x}^{3}-9980{x}^{2}+7576x-240\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{1544400}·\left[\begin{array}{c}572{x}^{6}-15708{x}^{5}+169400{x}^{4}-906780{x}^{3}+2497628{x}^{2}-3275832x+1542480\\ -2431{x}^{6}+63789{x}^{5}-643225{x}^{4}+3094215{x}^{3}-7038544{x}^{2}+5986356x+11760\\ 3146{x}^{6}-77484{x}^{5}+713900{x}^{4}-2994240{x}^{3}+5406554{x}^{2}-2845236x-28560\\ 143{x}^{6}-7887{x}^{5}+124025{x}^{4}-802245{x}^{3}+2143832{x}^{2}-1694748x+31920\\ -2860{x}^{6}+68640{x}^{5}-609400{x}^{4}+2428800{x}^{3}-4150540{x}^{2}+2340960x-8400\\ 143{x}^{6}+1023{x}^{5}-54175{x}^{4}+416805{x}^{3}-1079968{x}^{2}+832092x-18480\\ 3146{x}^{6}-73524{x}^{5}+634700{x}^{4}-2475840{x}^{3}+4254554{x}^{2}-2489196x+21840\\ -2431{x}^{6}+52899{x}^{5}-425425{x}^{4}+1557465{x}^{3}-2536744{x}^{2}+1421196x-9840\\ 572{x}^{6}-11748{x}^{5}+90200{x}^{4}-318180{x}^{3}+503228{x}^{2}-275592x+1680\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{21621600}·\left[\begin{array}{c}-2145{x}^{7}+68068{x}^{6}-882882{x}^{5}+6021400{x}^{4}-23094225{x}^{3}+49174132{x}^{2}-52890828x+21619920\\ 12870{x}^{7}-394394{x}^{6}+4870866{x}^{5}-30903950{x}^{4}+105714840{x}^{3}-183783656{x}^{2}+125984064x+13440\\ -30030{x}^{7}+884884{x}^{6}-10366356{x}^{5}+61091800{x}^{4}-187509630{x}^{3}+274594516{x}^{2}-138241824x-47040\\ 30030{x}^{7}-838838{x}^{6}+9171162{x}^{5}-49360850{x}^{4}+134358840{x}^{3}-168889112{x}^{2}+74682048x+94080\\ -40040{x}^{6}+960960{x}^{5}-8531600{x}^{4}+34003200{x}^{3}-58107560{x}^{2}+32773440x-117600\\ -30030{x}^{7}+842842{x}^{6}-9267258{x}^{5}+50338750{x}^{4}-139755000{x}^{3}+183783208{x}^{2}-86759232x+94080\\ 30030{x}^{7}-796796{x}^{6}+8252244{x}^{5}-42211400{x}^{4}+110928510{x}^{3}-139339004{x}^{2}+63559776x-47040\\ -12870{x}^{7}+326326{x}^{6}-3237234{x}^{5}+15942850{x}^{4}-40591320{x}^{3}+49729624{x}^{2}-22278336x+13440\\ 2145{x}^{7}-52052{x}^{6}+498498{x}^{5}-2387000{x}^{4}+5944785{x}^{3}-7162148{x}^{2}+3170892x-1680\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{40320}·\left[\begin{array}{c}{x}^{8}-36{x}^{7}+546{x}^{6}-4536{x}^{5}+22449{x}^{4}-67284{x}^{3}+118124{x}^{2}-109584x+40320\\ -8{x}^{8}+280{x}^{7}-4088{x}^{6}+32200{x}^{5}-147392{x}^{4}+390880{x}^{3}-554112{x}^{2}+322560x\\ 28{x}^{8}-952{x}^{7}+13384{x}^{6}-100240{x}^{5}+428092{x}^{4}-1027768{x}^{3}+1251936{x}^{2}-564480x\\ -56{x}^{8}+1848{x}^{7}-25032{x}^{6}+178920{x}^{5}-720384{x}^{4}+1606752{x}^{3}-1794688{x}^{2}+752640x\\ 70{x}^{8}-2240{x}^{7}+29260{x}^{6}-200480{x}^{5}+769510{x}^{4}-1631840{x}^{3}+1741320{x}^{2}-705600x\\ -56{x}^{8}+1736{x}^{7}-21896{x}^{6}+144536{x}^{5}-534464{x}^{4}+1095584{x}^{3}-1137024{x}^{2}+451584x\\ 28{x}^{8}-840{x}^{7}+10248{x}^{6}-65520{x}^{5}+235452{x}^{4}-471240{x}^{3}+480032{x}^{2}-188160x\\ -8{x}^{8}+232{x}^{7}-2744{x}^{6}+17080{x}^{5}-60032{x}^{4}+118048{x}^{3}-118656{x}^{2}+46080x\\ {x}^{8}-28{x}^{7}+322{x}^{6}-1960{x}^{5}+6769{x}^{4}-13132{x}^{3}+13068{x}^{2}-5040x\end{array}\right]\phantom{\rule{0.5em}{0ex}}\right\}$

$y=\left[\begin{array}{cccccccccc}{y}_{0}& {y}_{1}& {y}_{2}& {y}_{3}& {y}_{4}& {y}_{5}& {y}_{6}& {y}_{7}& {y}_{8}& {y}_{9}\end{array}\right]·\phantom{\rule{0.5em}{0ex}}\left\{\phantom{\rule{0.5em}{0ex}}\frac{1}{10}·\left[\begin{array}{c}1\\ 1\\ 1\\ 1\\ 1\\ 1\\ 1\\ 1\\ 1\\ 1\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{165}·\left[\begin{array}{c}57-9x\\ 48-7x\\ 39-5x\\ 30-3x\\ 21-x\\ x+12\\ 3x+3\\ 5x-6\\ 7x-15\\ 9x-24\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{1320}·\left[\begin{array}{c}30{x}^{2}-342x+816\\ 10{x}^{2}-146x+504\\ -5{x}^{2}+5x+252\\ -15{x}^{2}+111x+60\\ -20{x}^{2}+172x-72\\ -20{x}^{2}+188x-144\\ -15{x}^{2}+159x-156\\ -5{x}^{2}+85x-108\\ 10{x}^{2}-34x\\ 30{x}^{2}-198x+168\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{25740}·\left[\begin{array}{c}-210{x}^{3}+3420{x}^{2}-16350x+21204\\ 70{x}^{3}-750{x}^{2}+380x+8064\\ 175{x}^{3}-2460{x}^{2}+8165x+504\\ 155{x}^{3}-2385{x}^{2}+9310x-2736\\ 60{x}^{3}-1200{x}^{2}+6120x-2916\\ -60{x}^{3}+420{x}^{2}+900x-1296\\ -155{x}^{3}+1800{x}^{2}-4045x+864\\ -175{x}^{3}+2265{x}^{2}-6410x+2304\\ -70{x}^{3}+1140{x}^{2}-3890x+1764\\ 210{x}^{3}-2250{x}^{2}+5820x-2016\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{20592}·\left[\begin{array}{c}54{x}^{4}-1140{x}^{3}+8190{x}^{2}-22800x+19296\\ -66{x}^{4}+1244{x}^{3}-7266{x}^{2}+12184x+3600\\ -51{x}^{4}+1058{x}^{3}-7119{x}^{2}+15712x-1800\\ 9{x}^{4}-38{x}^{3}-999{x}^{2}+5828x-1800\\ 54{x}^{4}-924{x}^{3}+4494{x}^{2}-4824x\\ 54{x}^{4}-1020{x}^{3}+5790{x}^{2}-9000x+1296\\ 9{x}^{4}-286{x}^{3}+2349{x}^{2}-4856x+1080\\ -51{x}^{4}+778{x}^{3}-3339{x}^{2}+4052x-360\\ -66{x}^{4}+1132{x}^{3}-5754{x}^{2}+8768x-1440\\ 54{x}^{4}-804{x}^{3}+3654{x}^{2}-5064x+720\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{85800}·\left[\begin{array}{c}-66{x}^{5}+1710{x}^{4}-16410{x}^{3}+71250{x}^{2}-135084x+84360\\ 154{x}^{5}-3740{x}^{4}+32390{x}^{3}-116900{x}^{2}+144296x+5760\\ -11{x}^{5}+35{x}^{4}+2465{x}^{3}-23475{x}^{2}+58786x-6840\\ -121{x}^{5}+2760{x}^{4}-21535{x}^{3}+63900{x}^{2}-49204x-240\\ -66{x}^{5}+1710{x}^{4}-15510{x}^{3}+55850{x}^{2}-60184x+3960\\ 66{x}^{5}-1260{x}^{4}+7410{x}^{3}-13000{x}^{2}+2584x+1440\\ 121{x}^{5}-2685{x}^{4}+20185{x}^{3}-58275{x}^{2}+53254x-2760\\ 11{x}^{5}-460{x}^{4}+5185{x}^{3}-20100{x}^{2}+23564x-2160\\ -154{x}^{5}+3190{x}^{4}-22490{x}^{3}+62650{x}^{2}-56996x+3240\\ 66{x}^{5}-1260{x}^{4}+8310{x}^{3}-21900{x}^{2}+18984x-960\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{2059200}·\left[\begin{array}{c}429{x}^{6}-13167{x}^{5}+158235{x}^{4}-939645{x}^{3}+2851296{x}^{2}-4074588x+2052720\\ -1573{x}^{6}+46167{x}^{5}-519475{x}^{4}+2778645{x}^{3}-6990352{x}^{2}+6515868x+35280\\ 1430{x}^{6}-38874{x}^{5}+391490{x}^{4}-1760190{x}^{3}+3240920{x}^{2}-1364376x-70560\\ 858{x}^{6}-26070{x}^{5}+300630{x}^{4}-1608450{x}^{3}+3816192{x}^{2}-2846040x+50400\\ -1144{x}^{6}+29304{x}^{5}-271480{x}^{4}+1083240{x}^{3}-1703056{x}^{2}+775776x+20160\\ -1144{x}^{6}+32472{x}^{5}-342760{x}^{4}+1633320{x}^{3}-3355456{x}^{2}+2282208x-40320\\ 858{x}^{6}-20262{x}^{5}+169950{x}^{4}-607170{x}^{3}+883992{x}^{2}-387048x-10080\\ 1430{x}^{6}-38346{x}^{5}+379610{x}^{4}-1694910{x}^{3}+3321920{x}^{2}-2209704x+41760\\ -1573{x}^{6}+38775{x}^{5}-353155{x}^{4}+1461525{x}^{3}-2681152{x}^{2}+1684860x-25200\\ 429{x}^{6}-9999{x}^{5}+86955{x}^{4}-346365{x}^{3}+615696{x}^{2}-376956x+5040\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{122522400}·\left[\begin{array}{c}-6435{x}^{7}+228228{x}^{6}-3297294{x}^{5}+24929520{x}^{4}-105290955{x}^{3}+244598172{x}^{2}-283315716x+122477040\\ 33605{x}^{7}-1152151{x}^{6}+15874859{x}^{5}-111929125{x}^{4}+423213560{x}^{3}-807310924{x}^{2}+601166736x+322560\\ -61490{x}^{7}+2022020{x}^{6}-26334308{x}^{5}+171543680{x}^{4}-576604490{x}^{3}+908985980{x}^{2}-471789792x-947520\\ 30030{x}^{7}-894894{x}^{6}+10180170{x}^{5}-54513690{x}^{4}+134746920{x}^{3}-122684856{x}^{2}+21423360x+1411200\\ 40040{x}^{7}-1329328{x}^{6}+17385368{x}^{5}-112687960{x}^{4}+371719040{x}^{3}-567662872{x}^{2}+300508992x-917280\\ -40040{x}^{7}+1193192{x}^{6}-13709696{x}^{5}+76140680{x}^{4}-210083720{x}^{3}+266681408{x}^{2}-118558944x-282240\\ -30030{x}^{7}+996996{x}^{6}-12936924{x}^{5}+82513200{x}^{4}-266576310{x}^{3}+402345804{x}^{2}-213792096x+987840\\ 61490{x}^{7}-1851850{x}^{6}+21739718{x}^{5}-125663230{x}^{4}+371026040{x}^{3}-518497000{x}^{2}+259132032x-766080\\ -33605{x}^{7}+964964{x}^{6}-10820810{x}^{5}+60007640{x}^{4}-170923445{x}^{3}+231856436{x}^{2}-113223420x+277200\\ 6435{x}^{7}-177177{x}^{6}+1918917{x}^{5}-10340715{x}^{4}+28773360{x}^{3}-38312148{x}^{2}+18448848x-40320\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{980179200}·\left[\begin{array}{c}12155{x}^{8}-489060{x}^{7}+8258250{x}^{6}-75999924{x}^{5}+413948535{x}^{4}-1354094280{x}^{3}+2567438500{x}^{2}-2539051776x+980159040\\ -85085{x}^{8}+3331900{x}^{7}-54244190{x}^{6}+474349876{x}^{5}-2397019625{x}^{4}+6968074960{x}^{3}-10733059260{x}^{2}+6717016224x+181440\\ 243100{x}^{8}-9243520{x}^{7}+144824680{x}^{6}-1203105904{x}^{5}+5662596940{x}^{4}-14848168720{x}^{3}+19484950320{x}^{2}-9224839296x-725760\\ -340340{x}^{8}+12492480{x}^{7}-187267080{x}^{6}+1470845376{x}^{5}-6442456020{x}^{4}+15407441280{x}^{3}-18079766320{x}^{2}+7802116224x+1693440\\ 170170{x}^{8}-5805800{x}^{7}+79419340{x}^{6}-555619064{x}^{5}+2101669570{x}^{4}-4190980640{x}^{3}+4007840760{x}^{2}-1411292736x-2540160\\ 170170{x}^{8}-6446440{x}^{7}+99599500{x}^{6}-804379576{x}^{5}+3612298690{x}^{4}-8845402720{x}^{3}+10682595000{x}^{2}-4763836224x+2540160\\ -340340{x}^{8}+12012000{x}^{7}-172131960{x}^{6}+1285908624{x}^{5}-5346240900{x}^{4}+12196855440{x}^{3}-13879521040{x}^{2}+5920392576x-1693440\\ 243100{x}^{8}-8259680{x}^{7}+113833720{x}^{6}-818513696{x}^{5}+3284941660{x}^{4}-7267124480{x}^{3}+8065086480{x}^{2}-3377464704x+725760\\ -85085{x}^{8}+2794220{x}^{7}-37307270{x}^{6}+260784524{x}^{5}-1021525505{x}^{4}+2214978920{x}^{3}-2419720380{x}^{2}+1001894976x-181440\\ 12155{x}^{8}-386100{x}^{7}+5015010{x}^{6}-34270236{x}^{5}+131786655{x}^{4}-281579760{x}^{3}+304155940{x}^{2}-124935264x+20160\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{362880}·\left[\begin{array}{c}-{x}^{9}+45{x}^{8}-870{x}^{7}+9450{x}^{6}-63273{x}^{5}+269325{x}^{4}-723680{x}^{3}+1172700{x}^{2}-1026576x+362880\\ 9{x}^{9}-396{x}^{8}+7434{x}^{7}-77616{x}^{6}+491841{x}^{5}-1932084{x}^{4}+4581036{x}^{3}-5973264{x}^{2}+3265920x\\ -36{x}^{9}+1548{x}^{8}-28224{x}^{7}+283752{x}^{6}-1710324{x}^{5}+6275052{x}^{4}-13502376{x}^{3}+15212448{x}^{2}-6531840x\\ 84{x}^{9}-3528{x}^{8}+62496{x}^{7}-606312{x}^{6}+3495996{x}^{5}-12135312{x}^{4}+24383184{x}^{3}-25357248{x}^{2}+10160640x\\ -126{x}^{9}+5166{x}^{8}-88956{x}^{7}+834876{x}^{6}-4632894{x}^{5}+15403374{x}^{4}-29570184{x}^{3}+29479464{x}^{2}-11430720x\\ 126{x}^{9}-5040{x}^{8}+84420{x}^{7}-768600{x}^{6}+4129398{x}^{5}-13287960{x}^{4}+24743880{x}^{3}-24040800{x}^{2}+9144576x\\ -84{x}^{9}+3276{x}^{8}-53424{x}^{7}+473256{x}^{6}-2475396{x}^{5}+7770924{x}^{4}-14163576{x}^{3}+13525344{x}^{2}-5080320x\\ 36{x}^{9}-1368{x}^{8}+21744{x}^{7}-187992{x}^{6}+961884{x}^{5}-2962512{x}^{4}+5314896{x}^{3}-5012928{x}^{2}+1866240x\\ -9{x}^{9}+333{x}^{8}-5166{x}^{7}+43722{x}^{6}-219681{x}^{5}+666477{x}^{4}-1181304{x}^{3}+1103868{x}^{2}-408240x\\ {x}^{9}-36{x}^{8}+546{x}^{7}-4536{x}^{6}+22449{x}^{5}-67284{x}^{4}+118124{x}^{3}-109584{x}^{2}+40320x\end{array}\right]\phantom{\rule{0.5em}{0ex}}\right\}$

$y=\left[\begin{array}{ccccccccccc}{y}_{0}& {y}_{1}& {y}_{2}& {y}_{3}& {y}_{4}& {y}_{5}& {y}_{6}& {y}_{7}& {y}_{8}& {y}_{9}& {y}_{10}\end{array}\right]·\phantom{\rule{0.5em}{0ex}}\left\{\phantom{\rule{0.5em}{0ex}}\frac{1}{11}·\left[\begin{array}{c}1\\ 1\\ 1\\ 1\\ 1\\ 1\\ 1\\ 1\\ 1\\ 1\\ 1\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{110}·\left[\begin{array}{c}35-5x\\ 30-4x\\ 25-3x\\ 20-2x\\ 15-x\\ 10\\ x+5\\ 2x\\ 3x-5\\ 4x-10\\ 5x-15\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{4290}·\left[\begin{array}{c}75{x}^{2}-945x+2490\\ 30{x}^{2}-456x+1620\\ -5{x}^{2}-67x+900\\ -30{x}^{2}+222x+330\\ -45{x}^{2}+411x-90\\ -50{x}^{2}+500x-360\\ -45{x}^{2}+489x-480\\ -30{x}^{2}+378x-450\\ -5{x}^{2}+167x-270\\ 30{x}^{2}-144x+60\\ 75{x}^{2}-555x+540\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{5148}·\left[\begin{array}{c}-30{x}^{3}+540{x}^{2}-2850x+4068\\ 6{x}^{3}-54{x}^{2}-204x+1728\\ 22{x}^{3}-336{x}^{2}+1178x+288\\ 23{x}^{3}-381{x}^{2}+1582x-432\\ 14{x}^{3}-264{x}^{2}+1294x-612\\ -60{x}^{2}+600x-432\\ -14{x}^{3}+156{x}^{2}-214x-72\\ -23{x}^{3}+309{x}^{2}-862x+288\\ -22{x}^{3}+324{x}^{2}-1058x+468\\ -6{x}^{3}+126{x}^{2}-516x+288\\ 30{x}^{3}-360{x}^{2}+1050x-432\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{10296}·\left[\begin{array}{c}18{x}^{4}-420{x}^{3}+3330{x}^{2}-10200x+9432\\ -18{x}^{4}+372{x}^{3}-2358{x}^{2}+4092x+2160\\ -18{x}^{4}+404{x}^{3}-2922{x}^{2}+6856x-720\\ -3{x}^{4}+106{x}^{3}-1137{x}^{2}+3914x-1080\\ 12{x}^{4}-212{x}^{3}+972{x}^{2}-412x-360\\ 18{x}^{4}-360{x}^{3}+2130{x}^{2}-3300x+432\\ 12{x}^{4}-268{x}^{3}+1812{x}^{2}-3428x+720\\ -3{x}^{4}+14{x}^{3}+243{x}^{2}-974x+360\\ -18{x}^{4}+316{x}^{3}-1602{x}^{2}+2384x-360\\ -18{x}^{4}+348{x}^{3}-1998{x}^{2}+3468x-720\\ 18{x}^{4}-300{x}^{3}+1530{x}^{2}-2400x+432\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{68640}·\left[\begin{array}{c}-33{x}^{5}+945{x}^{4}-10005{x}^{3}+47775{x}^{2}-99042x+66840\\ 66{x}^{5}-1770{x}^{4}+16890{x}^{3}-66870{x}^{2}+89364x+6480\\ 11{x}^{5}-395{x}^{4}+5095{x}^{3}-28005{x}^{2}+56054x-6120\\ -44{x}^{5}+1080{x}^{4}-8900{x}^{3}+26520{x}^{2}-15296x-1920\\ -44{x}^{5}+1180{x}^{4}-11020{x}^{3}+40580{x}^{2}-44136x+2880\\ 120{x}^{4}-2400{x}^{3}+14200{x}^{2}-22000x+2880\\ 44{x}^{5}-1020{x}^{4}+7820{x}^{3}-22020{x}^{2}+18536x-480\\ 44{x}^{5}-1120{x}^{4}+9700{x}^{3}-32480{x}^{2}+34896x-2880\\ -11{x}^{5}+155{x}^{4}-295{x}^{3}-2155{x}^{2}+5546x-1080\\ -66{x}^{5}+1530{x}^{4}-12090{x}^{3}+37830{x}^{2}-38964x+3120\\ 33{x}^{5}-705{x}^{4}+5205{x}^{3}-15375{x}^{2}+15042x-1080\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{17503200}·\left[\begin{array}{c}2145{x}^{6}-72765{x}^{5}+964425{x}^{4}-6295275{x}^{3}+20887230{x}^{2}-32351760x+17395200\\ -6864{x}^{6}+222750{x}^{5}-2766390{x}^{4}+16287750{x}^{3}-44906586{x}^{2}+45495180x+529200\\ 4147{x}^{6}-121605{x}^{5}+1297945{x}^{4}-5939175{x}^{3}+9687628{x}^{2}+574740x-882000\\ 5148{x}^{6}-165660{x}^{5}+2011680{x}^{4}-11255100{x}^{3}+27653652{x}^{2}-20931000x+352800\\ -1716{x}^{6}+40260{x}^{5}-277860{x}^{4}+185100{x}^{3}+3384216{x}^{2}-5577840x+453600\\ -5720{x}^{6}+171600{x}^{5}-1898600{x}^{4}+9372000{x}^{3}-19591280{x}^{2}+13312800x-201600\\ -1716{x}^{6}+62700{x}^{5}-838860{x}^{4}+4989300{x}^{3}-12578784{x}^{2}+10403520x-403200\\ 5148{x}^{6}-143220{x}^{5}+1450680{x}^{4}-6512100{x}^{3}+12608652{x}^{2}-8132040x+108000\\ 4147{x}^{6}-127215{x}^{5}+1438195{x}^{4}-7313625{x}^{3}+16279378{x}^{2}-12304800x+403200\\ -6864{x}^{6}+189090{x}^{5}-1924890{x}^{4}+8897850{x}^{3}-18208086{x}^{2}+12771540x-327600\\ 2145{x}^{6}-55935{x}^{5}+543675{x}^{4}-2416725{x}^{3}+4783980{x}^{2}-3260340x+75600\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{122522400}·\left[\begin{array}{c}-3575{x}^{7}+140140{x}^{6}-2232230{x}^{5}+18541600{x}^{4}-85598975{x}^{3}+215753860{x}^{2}-268190820x+122396400\\ 16445{x}^{7}-623623{x}^{6}+9484475{x}^{5}-73601605{x}^{4}+305061680{x}^{3}-634245052{x}^{2}+510417360x+806400\\ -23595{x}^{7}+854854{x}^{6}-12222210{x}^{5}+86903740{x}^{4}-315685755{x}^{3}+526798846{x}^{2}-271384920x-2016000\\ 1430{x}^{7}-14014{x}^{6}-470470{x}^{5}+9365510{x}^{4}-62172880{x}^{3}+165758264{x}^{2}-129825600x+2217600\\ 20020{x}^{7}-712712{x}^{6}+9929920{x}^{5}-67972520{x}^{4}+233875180{x}^{3}-365752688{x}^{2}+194634720x-352800\\ -40040{x}^{6}+1201200{x}^{5}-13290200{x}^{4}+65604000{x}^{3}-137138960{x}^{2}+93189600x-1411200\\ -20020{x}^{7}+688688{x}^{6}-9209200{x}^{5}+60155480{x}^{4}-197654380{x}^{3}+301390712{x}^{2}-160854960x+705600\\ -1430{x}^{7}+86086{x}^{6}-1691690{x}^{5}+14871010{x}^{4}-62197520{x}^{3}+116077864{x}^{2}-73615680x+1008000\\ 23595{x}^{7}-796796{x}^{6}+10480470{x}^{5}-67750760{x}^{4}+222916155{x}^{3}-345029804{x}^{2}+189274500x-1335600\\ -16445{x}^{7}+527527{x}^{6}-6601595{x}^{5}+40762645{x}^{4}-128762480{x}^{3}+192442348{x}^{2}-102550320x+604800\\ 3575{x}^{7}-110110{x}^{6}+1331330{x}^{5}-7984900{x}^{4}+24614975{x}^{3}-36055390{x}^{2}+18906120x-100800\end{array}\right]\phantom{\rule{0.5em}{0ex}},\phantom{\rule{0.5em}{0ex}}\frac{1}{1862340480}·\left[\begin{array}{c}12155{x}^{8}-540540{x}^{7}+10060050{x}^{6}-101657556{x}^{5}+604939335{x}^{4}-2147634720{x}^{3}+4380465100{x}^{2}-4606149744x+1862138880\\ -75361{x}^{8}+3264404{x}^{7}-58644586{x}^{6}+564075512{x}^{5}-3122007889{x}^{4}+9885425396{x}^{3}-16466764644{x}^{2}+11042169408x+1632960\\ 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