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11.txt
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11.txt
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This file contains the explicit expressions necessary for the case (l,m)=(1,1).
A=(7+28 n+12 n^2+12 x+8 n x+x^2)/(28+36 n+8 n^2)
B=-(((-1+2 n+x) (1+2 n+x))/(4 (1+n) (7+2 n)))
n0=2
r_2=(19635+55580 x+37851 x^2+10152 x^3+1201 x^4+60 x^5+x^6)/(132 (245+592 x+266 x^2+32 x^3+x^4))
rtilde=(15+15 n)/(40+15 n)+((3+2 n) x)/(7+9 n+2 n^2)+x^2/(28+36 n+8 n^2)
a=(800 n-580 n^2-200 n^3-176 n^4-96 n^5-560 x-396 n x-156 n^2 x-392 n^3 x-192 n^4 x-140 x^2-619 n x^2-701 n^2 x^2-288 n^3 x^2-36 n^4 x^2)/((60 n^2+24 n^3+20 x+52 n x+24 n^2 x+5 x^2+3 n x^2) (84+192 n+132 n^2+24 n^3+96 x+100 n x+24 n^2 x+8 x^2+3 n x^2))
b=(4 (5+3 n) (8+3 n) (5 n+2 n^2) (-1+2 n+x) (1+2 n+x))/((60 n^2+24 n^3+20 x+52 n x+24 n^2 x+5 x^2+3 n x^2) (84+192 n+132 n^2+24 n^3+96 x+100 n x+24 n^2 x+8 x^2+3 n x^2))
esta=-2304 (2+n)^2 (9+2 n)^2 (171318+290447 n+194880 n^2+64732 n^3+10557 n^4+750 n^5) (211218+373897 n+256530 n^2+84932 n^3+13557 n^4+750 n^5)-1152 (7150527683208+28148902926228 n+50564816527262 n^2+54755707366583 n^3+39782293444224 n^4+20421019640036 n^5+7592315648977 n^6+2059361118185 n^7+404149183745 n^8+55857935754 n^9+5139749488 n^10+280401000 n^11+6750000 n^12) t^2-16 (17945277650272+46410314061328 n+51549926994932 n^2+32067892681702 n^3+12199127351501 n^4+2905529760340 n^5+427392074074 n^6+38116758666 n^7+2412710658 n^8+180441000 n^9+10125000 n^10) t^4-8 (11+3 n) (14+3 n) (322+125 n)^2 (18013+20049 n+8371 n^2+1554 n^3+108 n^4) t^6-(11+3 n)^2 (14+3 n)^2 (322+125 n)^2 t^8
estb=-256 (2+n)^2 (9+2 n)^2 (2772+6660 n+5041 n^2+1555 n^3+174 n^4) (72072+151290 n+120995 n^2+46091 n^3+8358 n^4+576 n^5)-128 (148982217678+719608351644 n+1548247990113 n^2+1969127701125 n^3+1653405967180 n^4+967551996855 n^5+405219998909 n^6+122511616234 n^7+26558336192 n^8+4028445768 n^9+406036080 n^10+24427008 n^11+663552 n^12) t^2-16 (107130115953+418234042338 n+709736225779 n^2+692249253684 n^3+431504940267 n^4+180249966314 n^5+51250208010 n^6+9817061928 n^7+1214754840 n^8+87816960 n^9+2820096 n^10) t^4-8 (11+3 n) (14+3 n) (21+16 n)^2 (18013+20049 n+8371 n^2+1554 n^3+108 n^4) t^6-(11+3 n)^2 (14+3 n)^2 (21+16 n)^2 t^8
esterror=-184074105600-721470749076 t^2-162378730017 t^4-9604871892 t^6-140865102 t^8-487872 t^10-441 t^12