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12.txt
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12.txt
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This file contains the explicit expressions necessary for the case (l,m)=(1,2).
A=(3+20 n+12 n^2+8 x+8 n x+x^2)/(20+28 n+8 n^2)
B=-(((-3+2 n+x) (3+2 n+x))/(4 (1+n) (5+2 n)))
n0=4
r_4=(488363755+787540056 x+641783397 x^2+310928256 x^3+92390286 x^4+17090160 x^5+1969418 x^6+138560 x^7+5655 x^8+120 x^9+x^10)/(260 (2391129+3504848 x+2600580 x^2+1088432 x^3+256238 x^4+33584 x^5+2356 x^6+80 x^7+x^8))
rtilde=(12+2 n)/(14+2 n)+((2+2 n) x)/(5+7 n+2 n^2)+x^2/(20+28 n+8 n^2)
a=(-1404 n-3420 n^2-2424 n^3-560 n^4-32 n^5-4752 n x-4968 n^2 x-984 n^3 x-48 n^4 x-594 x^2-873 n x^2-369 n^2 x^2-64 n^3 x^2-4 n^4 x^2)/((60 n+52 n^2+8 n^3+48 n x+8 n^2 x+6 x^2+n x^2) (120+188 n+76 n^2+8 n^3+56 x+64 n x+8 n^2 x+7 x^2+n x^2))
b=(4 n (6+n) (7+n) (3+2 n) (-3+2 n+x) (3+2 n+x))/((60 n+52 n^2+8 n^3+48 n x+8 n^2 x+6 x^2+n x^2) (120+188 n+76 n^2+8 n^3+56 x+64 n x+8 n^2 x+7 x^2+n x^2))
esta=-64 (4+n)^2 (11+2 n)^2 (2450325+1909385 n+647824 n^2+113452 n^3+9614 n^4+300 n^5) (10794075+7328135 n+1887724 n^2+229252 n^3+13214 n^4+300 n^5)-32 (4+n) (36125081688050+766889222069685 n+1116714750850970 n^2+729700143959121 n^3+275550537055302 n^4+66195204136032 n^5+10543261404580 n^6+1126746679068 n^7+79860582040 n^8+3602984352 n^9+93880800 n^10+1080000 n^11) t^2-4 (48350272053564+111538990818468 n+97466736796155 n^2+45401073560018 n^3+12810440577263 n^4+2312561706932 n^5+271177537232 n^6+20301707720 n^7+914719448 n^8+21559200 n^9+180000 n^10) t^4-8 (10+n) (11+n) (566+75 n)^2 (25224+16367 n+3765 n^2+358 n^3+12 n^4) t^6-(10+n)^2 (11+n)^2 (566+75 n)^2 t^8
estb=-64 (4+n)^2 (5+n)^2 (10+n)^2 (11+2 n)^2 (5701+1193 n+6 n^2) (35951+21543 n+3806 n^2+200 n^3)-128 (4+n) (5+n) (1202139849440+2299328549910 n+1901324322169 n^2+900256415193 n^3+271338933403 n^4+54545271735 n^5+7421512372 n^6+675977970 n^7+39499208 n^8+1338600 n^9+20000 n^10) t^2-16 (3796336981856+7425027542872 n+6354931938345 n^2+3134023738522 n^3+985752731852 n^4+206484139128 n^5+29152887253 n^6+2738549030 n^7+163838742 n^8+5641400 n^9+85000 n^10) t^4-8 (10+n) (11+n) (89+25 n)^2 (25224+16367 n+3765 n^2+358 n^3+12 n^4) t^6-(10+n)^2 (11+n)^2 (89+25 n)^2 t^8
esterror=-32225063143731938775+1229703226782849704 t^2-1504371751505412669 t^4-384997689421455888 t^6-27845993942231878 t^8-896965123990016 t^10-13901512438618 t^12-99535465456 t^14-299917523 t^16-340648 t^18-121 t^20