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21.txt
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21.txt
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This file contains the explicit expressions necessary for the case (l,m)=(2,1).
A=(27+44 n+12 n^2+16 x+8 n x+x^2)/(36+44 n+8 n^2)
B=-(((1+2 n+x) (3+2 n+x))/(4 (1+n) (9+2 n)))
n0=2
r_2=(194103+251784 x+108019 x^2+20400 x^3+1813 x^4+72 x^5+x^6)/(156 (1701+1688 x+458 x^2+40 x^3+x^4))
rtilde=(9+2 n)/(12+2 n)+((4+2 n) x)/(9+11 n+2 n^2)+x^2/(36+44 n+8 n^2)
a=(-2520 n-2778 n^2-1372 n^3-280 n^4-16 n^5-1080 n x-1376 n^2 x-312 n^3 x-16 n^4 x-555 n x^2-311 n^2 x^2-60 n^3 x^2-4 n^4 x^2)/((98 n+56 n^2+8 n^3+40 x+48 n x+8 n^2 x+5 x^2+n x^2) (162+234 n+80 n^2+8 n^3+96 x+64 n x+8 n^2 x+6 x^2+n x^2))
b=(4 (5+n) (6+n) (7 n+2 n^2) (1+2 n+x) (3+2 n+x))/((98 n+56 n^2+8 n^3+40 x+48 n x+8 n^2 x+5 x^2+n x^2) (162+234 n+80 n^2+8 n^3+96 x+64 n x+8 n^2 x+6 x^2+n x^2))
esta=-16 (2+n)^2 (11+2 n)^2 (390933+523131 n+346166 n^2+107788 n^3+15832 n^4+800 n^5) (1047933+1776231 n+920966 n^2+207388 n^3+20632 n^4+800 n^5)-16 (38882924880930+154241967406767 n+268015477249735 n^2+269647330275510 n^3+175269611540934 n^4+77667256808128 n^5+24058941466232 n^6+5240709846304 n^7+795624928672 n^8+82204370944 n^9+5513577344 n^10+217267200 n^11+3840000 n^12) t^2-4 (2971357842681+7445660654892 n+7011155193290 n^2+3163212012816 n^3+712363393570 n^4+72354239056 n^5+1790855664 n^6+141903232 n^7+86679328 n^8+9606400 n^9+320000 n^10) t^4-4 (7+n) (8+n) (129+100 n)^2 (16915+13848 n+4154 n^2+528 n^3+24 n^4) t^6-(7+n)^2 (8+n)^2 (129+100 n)^2 t^8
estb=-16 (2+n)^2 (11+2 n)^2 (8351+44882 n+19527 n^2+1936 n^3+4 n^4) (694351+1091032 n+609977 n^2+155136 n^3+18204 n^4+800 n^5)-16 (4896217794370+19749465479303 n+34447501856315 n^2+34569474030090 n^3+22360670493956 n^4+9870359782652 n^5+3061807096038 n^6+674981089736 n^7+105283504848 n^8+11361918496 n^9+807043296 n^10+33939200 n^11+640000 n^12) t^2-4 (928380936329+3073977952528 n+4283352041810 n^2+3325383898544 n^3+1604733802730 n^4+505845470704 n^5+105904165876 n^6+14584143888 n^7+1267580752 n^8+62950400 n^9+1360000 n^10) t^4-4 (7+n) (8+n) (63+50 n)^2 (16915+13848 n+4154 n^2+528 n^3+24 n^4) t^6-(7+n)^2 (8+n)^2 (63+50 n)^2 t^8
esterror=-5954198500341-3262748778900 t^2-321840046566 t^4-9743570028 t^6-85169853 t^8-209448 t^10-144 t^12