l1.txt

This file contains the explicit expressions necessary for the case (l,m)=(l,l-1), l >= 4.

A=(-12+3 l^2+12 n^2+4 x+x^2+8 n (1+x)+4 l (3 n+x))/(4 (1+n) (3+2 l+2 n))

B=-(((-4+l+2 n+x) (2+l+2 n+x))/(4 (1+n) (3+2 l+2 n)))

n0=2

r_2=(1264 l+2104 l^2+1224 l^3+306 l^4+27 l^5+2096 x+3984 l x+2792 l^2 x+804 l^3 x+81 l^4 x+1816 x^2+2008 l x^2+744 l^2 x^2+90 l^3 x^2+440 x^3+284 l x^3+46 l^2 x^3+38 x^4+11 l x^4+x^5)/(12 (7+2 l) (52 l+46 l^2+9 l^3+68 x+64 l x+15 l^2 x+18 x^2+7 l x^2+x^3))

rtilde=(11+6 n)/(20+6 n)+(3 (-3+l))/(8+8 n)+((1+l+2 n) x)/(3+5 n+2 n^2+l (2+2 n))+x^2/(12+20 n+8 n^2+l (8+8 n))

a=(6426+10584 l-4494 l^2+84 l^3+18935 n+5662 l n-3463 l^2 n+778 l^3 n+11885 n^2-4846 l n^2+31 l^2 n^2-102 l^3 n^2-1708 n^3-2592 l n^3+600 l^2 n^3-180 l^3 n^3-1932 n^4+1296 l n^4-612 l^2 n^4+720 n^5-432 l n^5+5712 x-5824 l x+112 l^2 x-9928 n x-816 l n x-456 l^2 n x-5752 n^2 x+3072 l n^2 x-1224 l^2 n^2 x+4512 n^3 x-1008 l n^3 x-432 l^2 n^3 x+2016 n^4 x-864 l n^4 x-1428 x^2+28 l x^2-934 n x^2-1234 l n x^2-838 n^2 x^2-1122 l n^2 x^2-636 n^3 x^2-252 l n^3 x^2-144 n^4 x^2)/((-63-105 l+42 l^2-133 n+37 l n+18 l^2 n+10 n^2+66 l n^2+48 n^3-56 x+56 l x+88 n x+24 l n x+48 n^2 x+14 x^2+6 n x^2) (-138-2 l+60 l^2+31 n+169 l n+18 l^2 n+154 n^2+66 l n^2+48 n^3+80 x+80 l x+184 n x+24 l n x+48 n^2 x+20 x^2+6 n x^2))

b=(16 n (1+2 l+2 n) (7+3 n) (10+3 n) (-4+l+2 n+x) (2+l+2 n+x))/((-63-105 l+42 l^2-133 n+37 l n+18 l^2 n+10 n^2+66 l n^2+48 n^3-56 x+56 l x+88 n x+24 l n x+48 n^2 x+14 x^2+6 n x^2) (-138-2 l+60 l^2+31 n+169 l n+18 l^2 n+154 n^2+66 l n^2+48 n^3+80 x+80 l x+184 n x+24 l n x+48 n^2 x+20 x^2+6 n x^2))

esta=-(13+2 l+2 n)^2 (233667000+322441080 l+125968224 l^2+20130912 l^3+1018368 l^4+385247250 n+425398624 l n+124078454 l^2 n+13220232 l^3 n+425952 l^4 n+260986855 n^2+220175196 l n^2+42921403 l^2 n^2+2712726 l^3 n^2+44064 l^4 n^2+95411929 n^3+55190732 l n^3+5965125 l^2 n^3+164322 l^3 n^3+20588818 n^4+6392820 l n^4+217602 l^2 n^4+2482944 n^5+241344 l n^5+144000 n^6) (314055000+416468280 l+152553024 l^2+20442912 l^3+1018368 l^4+584093850 n+605821624 l n+166189454 l^2 n+15905232 l^3 n+425952 l^4 n+448513255 n^2+353118996 l n^2+71740603 l^2 n^2+4485726 l^3 n^2+44064 l^4 n^2+178345729 n^3+102563132 l n^3+14272125 l^2 n^3+434322 l^3 n^3+37807618 n^4+14968020 l n^4+1135602 l^2 n^4+3994944 n^5+889344 l n^5+144000 n^6)-16 (94647248583123600+241258050563690160 l+233951344659721888 l^2+112597752145946624 l^3+30711097733946624 l^4+5029591778425088 l^5+491917965452800 l^6+26291926302720 l^7+576151879680 l^8+306927904887682260 n+693195688389437568 l n+590154755330097636 l^2 n+247370571960331496 l^3 n+58139853869649744 l^4 n+8105529326826720 l^5 n+663720004109440 l^6 n+28835915790336 l^7 n+481973207040 l^8 n+456654224946364644 n^2+903485541058877016 l n^2+667420983267547080 l^2 n^2+240516296989794944 l^3 n^2+47910525683902936 l^4 n^2+5571925877285620 l^5 n^2+372473372698856 l^6 n^2+12669437834496 l^7 n^2+150656578560 l^8 n^2+411355297496792277 n^3+704011955982119616 l n^3+445202333968611409 l^2 n^3+135533260707814806 l^3 n^3+22358203499753496 l^4 n^3+2108307351085016 l^5 n^3+110955544432800 l^6 n^3+2784821710464 l^7 n^3+20854609920 l^8 n^3+249111397442082432 n^4+363886047002384238 l n^4+193708936274584363 l^2 n^4+48614897315470120 l^3 n^4+6423855623667963 l^4 n^4+471001815749148 l^5 n^4+18421731097596 l^6 n^4+305967725568 l^7 n^4+1078686720 l^8 n^4+106486343873109891 n^5+130856768840718597 l n^5+57352327496490979 l^2 n^5+11457495722089271 l^3 n^5+1153476734332194 l^4 n^5+61511223917556 l^5 n^5+1605655305864 l^6 n^5+13432293504 l^7 n^5+32845643512394553 n^6+33397692352429716 l n^6+11686049911946924 l^2 n^6+1763538761427792 l^3 n^6+124748971002963 l^4 n^6+4282362734184 l^5 n^6+56832507252 l^6 n^6+7347673837973691 n^7+6055752580596369 l n^7+1617326000520189 l^2 n^7+169576846966143 l^3 n^7+7265423266740 l^4 n^7+119392758108 l^5 n^7+1180529544915420 n^8+766714187092752 l n^8+145672393967496 l^2 n^8+9134746990416 l^3 n^8+166679280252 l^4 n^8+132459485444820 n^9+64897707464028 l n^9+7740808139196 l^2 n^9+205794119988 l^3 n^9+9794372134176 n^10+3332369823552 l n^10+185777849376 l^2 n^10+422705952000 n^11+79525152000 l n^11+7776000000 n^12) t^2-8 (4328968317503648+9861035058399616 l+7621985373915648 l^2+2430267109914112 l^3+375375597514240 l^4+27779616210944 l^5+755399131136 l^6+10037680610599824 n+20494381882238896 l n+13821240918981696 l^2 n+3784493521656960 l^3 n+495130892466304 l^4 n+30377321598976 l^5 n+631920427008 l^6 n+9989351020037292 n^2+18435057471097240 l n^2+10743009818853164 l^2 n^2+2476883327504480 l^3 n^2+267338467874280 l^4 n^2+13188360592128 l^5 n^2+197527514112 l^6 n^2+5556897681181088 n^3+9390264413456292 l n^3+4659313540214148 l^2 n^3+879852146400160 l^3 n^3+75434924930688 l^4 n^3+2842759760256 l^5 n^3+27342710784 l^6 n^3+1883202912783467 n^4+2973285658561730 l n^4+1227459936972675 l^2 n^4+182063319995856 l^3 n^4+11682751643316 l^4 n^4+304335830016 l^5 n^4+1414278144 l^6 n^4+396313053907718 n^5+604128243098620 l n^5+199738579770342 l^2 n^5+21709904508072 l^3 n^5+935013113208 l^4 n^5+12949704576 l^5 n^5+50327513035327 n^6+78420973664694 l n^6+19392093486603 l^2 n^6+1353770626032 l^3 n^6+29845058796 l^4 n^6+3554784935472 n^7+6264500720616 l n^7+1007791140816 l^2 n^7+32602395672 l^3 n^7+129449648556 n^8+283011852312 l n^8+20676843756 l^2 n^8+5207112000 n^9+5811912000 l n^9+324000000 n^10) t^4-64 (13+3 n) (16+3 n) (322+272 l+125 n)^2 (83265+18750 l+1040 l^2+74697 n+12468 l n+435 l^2 n+25152 n^2+2691 l n^2+45 l^2 n^2+3789 n^3+189 l n^3+216 n^4) t^6-16 (13+3 n)^2 (16+3 n)^2 (322+272 l+125 n)^2 t^8

estb=-(13+2 l+2 n)^2 (1886100+2122600 l+2064812 l^2+584056 l^3+41184 l^4+5185045 n+3097307 l n+2195777 l^2 n+412901 l^3 n+17226 l^4 n+3925845 n^2+1618683 l n^2+899549 l^2 n^2+103053 l^3 n^2+1782 l^4 n^2+1342142 n^3+487866 l n^3+176250 l^2 n^3+8766 l^3 n^3+236424 n^4+87120 l n^4+13896 l^2 n^4+18432 n^5+6912 l n^5) (33834900+34603880 l+10318252 l^2+1116536 l^3+41184 l^4+78186005 n+58482907 l n+12437057 l^2 n+901861 l^3 n+17226 l^4 n+70188885 n^2+37547003 l n^2+5427549 l^2 n^2+237453 l^3 n^2+1782 l^4 n^2+31808702 n^3+11553466 l n^3+1026810 l^2 n^3+20286 l^3 n^3+7706504 n^4+1715280 l n^4+71496 l^2 n^4+947712 n^5+99072 l n^5+46080 n^6)-16 (217544122516500+424006717042740 l+366866833731412 l^2+179318946521436 l^3+51228789339896 l^4+8655321457072 l^5+848743301600 l^6+44366974080 l^7+942289920 l^8+1011005679876465 n+1648331226102482 l n+1174263380472354 l^2 n+470350548679324 l^3 n+111098722208721 l^4 n+15520618140250 l^5 n+1239078380540 l^6 n+50864650584 l^7 n+788261760 l^8 n+1993472888126656 n^2+2730769104614994 l n^2+1616544575384015 l^2 n^2+533213087983596 l^3 n^2+103514168428694 l^4 n^2+11780186959570 l^5 n^2+747643664679 l^6 n^2+23220031824 l^7 n^2+246397140 l^8 n^2+2240861474531763 n^3+2588097818646819 l n^3+1274916556321976 l^2 n^3+345130196331054 l^3 n^3+54354402290199 l^4 n^3+4920295187059 l^5 n^3+238996329030 l^6 n^3+5273540316 l^7 n^3+34107480 l^8 n^3+1621043325698313 n^4+1576222675129442 l n^4+642706730607957 l^2 n^4+141188121825980 l^3 n^4+17644311778847 l^4 n^4+1223773363362 l^5 n^4+42722868879 l^6 n^4+595644192 l^7 n^4+1764180 l^8 n^4+802578886521979 n^5+652362081533883 l n^5+217483552602886 l^2 n^5+37973252203894 l^3 n^5+3633064597491 l^4 n^5+181475324019 l^5 n^5+4050731916 l^6 n^5+26762076 l^7 n^5+280638136672932 n^6+188124411877704 l n^6+50198004270916 l^2 n^6+6728816493408 l^3 n^6+463983654492 l^4 n^6+14866424856 l^5 n^6+159164028 l^6 n^6+70129544298564 n^7+37922605413956 l n^7+7821704738856 l^2 n^7+758585499912 l^3 n^7+33628955220 l^4 n^7+519129972 l^5 n^7+12465908429440 n^8+5248636024128 l n^8+788659447104 l^2 n^8+49418990784 l^3 n^8+1059490368 l^4 n^8+1540235369280 n^9+475752249792 l n^9+46518957504 l^2 n^9+1418409792 l^3 n^9+125732749824 n^10+25445864448 l n^10+1219981824 l^2 n^10+6094172160 n^11+608808960 l n^11+132710400 n^12) t^2-8 (20861771820552+31262633020944 l+17637438913512 l^2+4811271998688 l^3+679707847200 l^4+47225308416 l^5+1235446784 l^6+78663082290156 n+94181695775364 l n+41727087046644 l^2 n+9008219027340 l^3 n+1008578443296 l^4 n+54537906544 l^5 n+1033498752 l^6 n+123796605696423 n^2+117820631773020 l n^2+41389516232586 l^2 n^2+7033756195500 l^3 n^2+610971533155 l^4 n^2+24846286872 l^5 n^2+323054028 l^6 n^2+108084770880882 n^3+81877055617848 l n^3+22701347264292 l^2 n^3+2982585733760 l^3 n^3+193976367042 l^4 n^3+5591984904 l^5 n^3+44718696 l^6 n^3+58806094127463 n^4+35256658429800 l n^4+7580945537550 l^2 n^4+744251067744 l^3 n^4+34119703359 l^4 n^4+622604664 l^5 n^4+2313036 l^6 n^4+21085422844152 n^5+9836251584320 l n^5+1585895775768 l^2 n^5+109562613768 l^3 n^5+3158248752 l^4 n^5+27464184 l^5 n^5+5092321535228 n^6+1788418005216 l n^6+203662783512 l^2 n^6+8827982208 l^3 n^6+120363084 l^4 n^6+823519858848 n^7+205214403744 l n^7+14717238624 l^2 n^7+300824928 l^3 n^7+85775523264 n^8+13526552448 l n^8+459048384 l^2 n^8+5215656960 n^9+391080960 l n^9+141004800 n^10) t^4-64 (13+3 n) (16+3 n) (21+11 l+20 n)^2 (83265+18750 l+1040 l^2+74697 n+12468 l n+435 l^2 n+25152 n^2+2691 l n^2+45 l^2 n^2+3789 n^3+189 l n^3+216 n^4) t^6-16 (13+3 n)^2 (16+3 n)^2 (21+11 l+20 n)^2 t^8

esterror=-937593296 l^2-3378276016 l^3-4847514716 l^4-3781604700 l^5-1781104389 l^6-522865332 l^7-93958020 l^8-9541152 l^9-419904 l^10+(-2108311376-6662433968 l-8657312200 l^2-6477582456 l^3-3134291103 l^4-991930540 l^5-196377692 l^6-21835008 l^7-979776 l^8) t^2+(-947213676-1759671068 l-1302217263 l^2-511961404 l^3-117415996 l^4-14819904 l^5-715392 l^6) t^4+(-38382741-39947076 l-15301748 l^2-2668032 l^3-171648 l^4) t^6+(-305424-141984 l-16704 l^2) t^8-576 t^10