The perimeter generating function for nondirected diagonally convex polyominoesLet NiMtSSJERzYiNiRJImRHRiVJInhHRiU= denote the generating function in which the coefficient of NiMqJilJImRHNiJJInJHRiYiIiIpSSJ4R0YmSSJzR0YmRig= is the number of nondirected diagonally convex polyominoes with NiNJInJHNiI= diagonals and perimeter NiNJInNHNiI=. We have found thatD(d,x) := 1/4*(L[0]+L[1]*R[1]+L[2]*R[2]+L[1, 2]*R[1]*R[2])/(x^2*Delta)-1/4*(L[3]*R[3]+L[1, 3]*R[1]*R[3]+L[2, 3]*R[2]*R[3]+L[1, 2, 3]*R[1]*R[2]*R[3])/(x^2*(1-x^2)*(2+d-2*d*x^2+2*x^4+d*x^4+2*d*x^6)*Delta);

NiM+LUkiREc2JEkqcHJvdGVjdGVkR0YnSShfc3lzbGliRzYiNiRJImRHRilJInhHRiksJiooLComSSJMR0YpNiMiIiEiIiIqJiZGMTYjRjRGNCZJIlJHRilGN0Y0RjQqJiZGMTYjIiIjRjQmRjlGPEY0RjQqKCZGMTYkRjRGPUY0RjhGNEY+RjRGNEY0RiwhIiNJJkRlbHRhR0YpISIiI0Y0IiIlKiwsKiomJkYxNiMiIiRGNCZGOUZLRjRGNCooJkYxNiRGNEZMRjRGOEY0Rk1GNEY0KigmRjE2JEY9RkxGNEY+RjRGTUY0RjQqKiZGMTYlRjRGPUZMRjRGOEY0Rj5GNEZNRjRGNEY0RixGQiwmRjRGNCokRixGPUZERkQsLkY9RjRGK0Y0KiZGK0Y0RixGPUZCKiRGLEZGRj0qJkYrRjRGLEZGRjQqJkYrRjRGLCIiJ0Y9RkRGQ0ZEI0ZERkY=

whereR[1] := (1-2*x^4-2*d*x^6+x^8-2*d*x^10+d^2*x^12)^(1/2);

NiM+JkkiUkc2IjYjIiIiKiQsLkYoRigqJEkieEdGJiIiJSEiIyomSSJkR0YmRihGLCIiJ0YuKiRGLCIiKUYoKiZGMEYoRiwiIzVGLiomRjAiIiNGLCIjN0YoI0YoRjc=

R[2] := (1-4*x^2*d-4*x^2+8*x^4*d+6*x^4-2*x^6*d-4*x^6-4*x^8*d+x^8+2*d*x^10+d^2*x^12)^(1/2);

NiM+JkkiUkc2IjYjIiIjKiQsOCIiIkYrKiZJImRHRiZGK0kieEdGJkYoISIlKiRGLkYoRi8qJkYtRitGLiIiJSIiKSokRi5GMiIiJyomRi1GK0YuRjUhIiMqJEYuRjVGLyomRi5GM0YtRitGLyokRi5GM0YrKiZGLUYrRi4iIzVGKComRi1GKEYuIiM3RisjRitGKA==

R[3] := (2+4*d+d^2-(4*d+4*d^2)*x^2+(-4+6*d^2)*x^4+(2+4*d-7*d^2)*x^8+(4*d+4*d^2)*x^10+2*d^2*x^12+2*(1+2*x^2+x^4+x^6*d)*R[2])^(1/2);

NiM+JkkiUkc2IjYjIiIkKiQsNCIiIyIiIkkiZEdGJiIiJSokRi1GK0YsKiYsJkYtRi5GL0YuRixJInhHRiZGKyEiIiomLCYhIiVGLEYvIiInRixGMkYuRiwqJiwoRitGLEYtRi5GLyEiKEYsRjIiIilGLComRjFGLEYyIiM1RiwqJkYtRitGMiIjN0YrKiYsKkYsRiwqJEYyRitGKyokRjJGLkYsKiZGLUYsRjJGN0YsRiwsOEYsRiwqJkYtRixGMkYrRjZGQkY2KiZGLUYsRjJGLkY7RkNGN0ZEISIjKiRGMkY3RjYqJkYyRjtGLUYsRjYqJEYyRjtGLComRi1GLEYyRj1GK0Y+RiwjRixGK0YrRk0=

Delta := 4+(16+4*d)*x^2+d^2*x^4+(-80-76*d-4*d^2)*x^6+(-100-144*d-38*d^2)*x^8+(96+176*d+36*d^2-8*d^3)*x^10+(312+672*d+433*d^2+32*d^3)*x^12+(192+160*d+272*d^2+136*d^3)*x^14+(-212-1056*d-1224*d^2-280*d^3+24*d^4)*x^16+(-688-1148*d-1288*d^2-976*d^3-96*d^4)*x^18+(-656-192*d+1352*d^2+624*d^3-224*d^4)*x^20+(688+2036*d+2208*d^2+2708*d^3+824*d^4-32*d^5)*x^22+(1796+4080*d+1140*d^2-352*d^3+700*d^4+128*d^5)*x^24+(64-2328*d-2096*d^2-2796*d^3-2464*d^4+192*d^5)*x^26+(-2184-9056*d-6968*d^2-464*d^3-1956*d^4-1232*d^5+16*d^6)*x^28+(-672+1944*d+2112*d^2-2288*d^3+1120*d^4+472*d^5-64*d^6)*x^30+(1584+11072*d+13360*d^2-928*d^3-2284*d^4+2272*d^5-160*d^6)*x^32+(512-672*d-5216*d^2+4336*d^3+2528*d^4-88*d^5+1120*d^6)*x^34+(-672-8320*d-16208*d^2+1728*d^3+11512*d^4+1600*d^5-1040*d^6)*x^36+(-128-352*d+8704*d^2+3616*d^3-6560*d^4+984*d^5-608*d^6+128*d^7)*x^38+(128+3712*d+13344*d^2+640*d^3-15472*d^4-7040*d^5+1184*d^6-576*d^7)*x^40+(256*d-6272*d^2-12512*d^3+8448*d^4+2208*d^5+416*d^6+736*d^7)*x^42+(-768*d-6848*d^2-2304*d^3+16480*d^4+10752*d^5+5328*d^6+128*d^7)*x^44+(1536*d^2+12800*d^3+1280*d^4-5792*d^5+8064*d^6-416*d^7)*x^46+(1664*d^2+2816*d^3-10112*d^4+384*d^5+8928*d^6+1024*d^7+192*d^8)*x^48+(-4992*d^3-5632*d^4+16896*d^5+5248*d^6-1568*d^7-640*d^8)*x^50+(-1536*d^3+4864*d^4+9472*d^5-5568*d^6+1280*d^7+576*d^8)*x^52+(4608*d^4-1536*d^5-7168*d^6+4352*d^7-128*d^8)*x^54+(512*d^4-4096*d^5+1920*d^6+5888*d^7-1408*d^8)*x^56+(-1024*d^5+4096*d^6+3456*d^7)*x^58+(1024*d^6-2560*d^7-1280*d^8)*x^60+(-1024*d^7-512*d^8)*x^62+512*d^8*x^64;

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

L[0] := 2+(16+5*d)*x^2+(14+4*d+2*d^2)*x^4+(-96-76*d-8*d^2)*x^6+(-162-164*d-50*d^2)*x^8+(168+209*d+42*d^2-16*d^3)*x^10+(510+920*d+501*d^2+64*d^3)*x^12+(128+52*d+238*d^2+185*d^3)*x^14+(-534-2144*d-1886*d^2-480*d^3+48*d^4)*x^16+(-888-1197*d-1570*d^2-1074*d^3-192*d^4)*x^18+(-782+1532*d+3390*d^2+1248*d^3-312*d^4)*x^20+(1248+2812*d+3894*d^2+4068*d^3+1570*d^4-64*d^5)*x^22+(3354+5100*d-1316*d^2-1932*d^3+177*d^4+256*d^5)*x^24+(-424-4869*d-6320*d^2-6598*d^3-3618*d^4+296*d^5)*x^26+(-5238-18064*d-7973*d^2+2088*d^3-1622*d^4-2492*d^5+32*d^6)*x^28+(-768+7700*d+9884*d^2+1859*d^3+3700*d^4+2134*d^5-128*d^6)*x^30+(4780+28152*d+23380*d^2-3364*d^3-1985*d^4+2256*d^5-320*d^6)*x^32+(1032-8580*d-20240*d^2+2704*d^3+2444*d^4-2078*d^5+2360*d^6)*x^34+(-2696-25832*d-36640*d^2+8312*d^3+16786*d^4+2276*d^5-2948*d^6)*x^36+(-512+5352*d+34752*d^2+7760*d^3-19592*d^4-1756*d^5+64*d^6+272*d^7)*x^38+(880+14624*d+35984*d^2-13168*d^3-31212*d^4-9360*d^5+2864*d^6-1232*d^7)*x^40+(96-1504*d-34176*d^2-30104*d^3+34424*d^4+9924*d^5-1768*d^6+1736*d^7)*x^42+(-128-4896*d-22144*d^2+12448*d^3+42040*d^4+14184*d^5+6944*d^6+352*d^7)*x^44+(96*d+16384*d^2+43136*d^3-27328*d^4-26312*d^5+4064*d^6-1808*d^7)*x^46+(768*d+8416*d^2-6464*d^3-45024*d^4+3968*d^5+5504*d^6+4720*d^7+448*d^8)*x^48+(-2880*d^2-29184*d^3+5856*d^4+47008*d^5-5408*d^6-2696*d^7-1696*d^8)*x^50+(-1664*d^2-256*d^3+34080*d^4-1504*d^5-22304*d^6+3520*d^7+2176*d^8)*x^52+(7232*d^3+9408*d^4-37312*d^5+2176*d^6+7456*d^7-928*d^8)*x^54+(1536*d^3-12736*d^4-13312*d^5+27168*d^6-2880*d^7-2864*d^8)*x^56+(-6400*d^4+12224*d^5+11456*d^6-13056*d^7+4160*d^8-32*d^9)*x^58+(-512*d^4+10240*d^5-10816*d^6-14208*d^7-1184*d^8-128*d^9)*x^60+(1664*d^5-9984*d^6+4864*d^7+704*d^8-160*d^9)*x^62+(-2304*d^6+7424*d^7+640*d^8+128*d^9)*x^64+(2048*d^7-3072*d^8+256*d^9)*x^66+(-1280*d^8+256*d^9)*x^68+384*d^9*x^70;

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

L[1] := (-8-5*d)*x^6+(12*d+2*d^2)*x^8+(48+64*d+6*d^2)*x^10+(4*d+8*d^2)*x^12+(-88-230*d-124*d^2-16*d^3)*x^14+(-32-292*d-240*d^2-30*d^3)*x^16+(32+460*d+530*d^2+109*d^3)*x^18+(32+468*d+660*d^2+354*d^3+48*d^4)*x^20+(232+171*d-480*d^2-190*d^3+20*d^4)*x^22+(128+168*d-1282*d^2-1664*d^3-386*d^4)*x^24+(-720-2620*d-1028*d^2+321*d^3-240*d^4-64*d^5)*x^26+(-192-760*d+1276*d^2+2736*d^3+1442*d^4+88*d^5)*x^28+(984+5208*d+5272*d^2+4*d^3+740*d^4+428*d^5)*x^30+(-32+304*d-488*d^2-1936*d^3-1180*d^4-224*d^5+32*d^6)*x^32+(-640-5432*d-10976*d^2-320*d^3+2520*d^4-1184*d^5-112*d^6)*x^34+(160+672*d+1616*d^2+2064*d^3+216*d^4+840*d^5-248*d^6)*x^36+(160+3248*d+11424*d^2+2520*d^3-9352*d^4-1320*d^5+416*d^6)*x^38+(-64-960*d-3328*d^2-5056*d^3+1352*d^4+96*d^5+352*d^6)*x^40+(-864*d-6080*d^2-6480*d^3+11392*d^4+5344*d^5-560*d^6+192*d^7)*x^42+(384*d+2592*d^2+6848*d^3-1824*d^4-7232*d^5-184*d^6-736*d^7)*x^44+(1472*d^2+4960*d^3-6624*d^4-9072*d^5-1056*d^6+768*d^7)*x^46+(-832*d^2-4032*d^3-3968*d^4+7296*d^5-4064*d^6-1184*d^7)*x^48+(-960*d^3+384*d^4+3136*d^5-6656*d^6-368*d^7)*x^50+(768*d^3+3840*d^4-6656*d^5-9088*d^6+1792*d^7+160*d^8)*x^52+(256*d^4-4416*d^5-1216*d^6-1600*d^7-384*d^8)*x^54+(-256*d^4-2304*d^5+4672*d^6-1216*d^7+288*d^8)*x^56+(-128*d^5+512*d^6-3072*d^7+384*d^8)*x^58+(128*d^6-2048*d^7+256*d^8)*x^60+(128*d^7+768*d^8)*x^62+128*d^8*x^64;

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

L[2] := 2+(4+d)*x^2+(-12-2*d)*x^4+(-28-27*d)*x^6+(18-20*d-9*d^2)*x^8+(72+132*d+18*d^2)*x^10+(28+160*d+137*d^2)*x^12+(-48-202*d-30*d^2+32*d^3)*x^14+(-114-316*d-531*d^2-66*d^3)*x^16+(-172-155*d-186*d^2-345*d^3)*x^18+(108-6*d+677*d^2+414*d^3-56*d^4)*x^20+(516+1141*d+398*d^2+986*d^3+124*d^4)*x^22+(22+720*d+272*d^2-492*d^3+490*d^4)*x^24+(-672-2250*d-208*d^2-587*d^3-1184*d^4+48*d^5)*x^26+(-108-824*d-2314*d^2+16*d^3-738*d^4-120*d^5)*x^28+(488+2528*d+680*d^2-1606*d^3+1276*d^4-460*d^5)*x^30+(72+224*d+3624*d^2+1200*d^3-892*d^4+1664*d^5-16*d^6)*x^32+(-192-1696*d-1728*d^2+4680*d^3+1112*d^4-280*d^5+48*d^6)*x^34+(-16+128*d-2160*d^2-3232*d^3+3300*d^4-1048*d^5+328*d^6)*x^36+(32+624*d+1248*d^2-4216*d^3-3000*d^4+1448*d^5-1280*d^6)*x^38+(-64*d-16*d^2+4512*d^3-3392*d^4-3968*d^5+912*d^6)*x^40+(-96*d+1072*d^3+2080*d^4-2376*d^5+688*d^6-128*d^7)*x^42+(320*d^2-2944*d^3-1552*d^4+3904*d^5+168*d^6+480*d^7)*x^44+(-192*d^2-832*d^3-1056*d^4+272*d^5+4288*d^6-352*d^7)*x^46+(576*d^3+2720*d^4-4416*d^5+976*d^6-480*d^7)*x^48+(832*d^3-1536*d^4-1632*d^5+768*d^6+208*d^7)*x^50+(-2688*d^4+2176*d^5+384*d^6-896*d^7-160*d^8)*x^52+(-768*d^4+3264*d^5-4160*d^6+960*d^7+384*d^8)*x^54+(2048*d^5-4608*d^6+3520*d^7-288*d^8)*x^56+(128*d^5-2560*d^6+3456*d^7-384*d^8)*x^58+(-384*d^6+2048*d^7-256*d^8)*x^60+(384*d^7-768*d^8)*x^62-128*d^8*x^64;

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

L[1, 2] := (8+3*d)*x^6+(16+2*d)*x^8+(-24-31*d-2*d^2)*x^10+(-64-84*d-21*d^2)*x^12+(-16-7*d+2*d^2)*x^14+(64+282*d+186*d^2+12*d^3)*x^16+(112+151*d+176*d^2+50*d^3)*x^18+(128-168*d-241*d^2-64*d^3)*x^20+(-88-228*d-468*d^2-338*d^3-24*d^4)*x^22+(-432-696*d+80*d^2+76*d^3-44*d^4)*x^24+(-56+248*d+456*d^2+540*d^3+192*d^4)*x^26+(512+1848*d+664*d^2-224*d^3+168*d^4+16*d^5)*x^28+(96-184*d-296*d^2-352*d^3-424*d^4+8*d^5)*x^30+(-288-2240*d-2120*d^2+696*d^3-352*d^4-256*d^5)*x^32+(-32+16*d+864*d^2-352*d^3-288*d^4+64*d^5)*x^34+(64+1440*d+2928*d^2-1344*d^3-1304*d^4+208*d^5)*x^36+(32*d-1312*d^2-704*d^3+1088*d^4+184*d^5+160*d^6)*x^38+(-384*d-2304*d^2+160*d^3+2944*d^4+672*d^5-160*d^6)*x^40+(576*d^2+2016*d^3-1792*d^4+304*d^5-96*d^6)*x^42+(832*d^2+640*d^3-2848*d^4+448*d^5+16*d^6)*x^44+(-1664*d^3+256*d^4+2208*d^5-576*d^6+32*d^7)*x^46+(-768*d^3+1664*d^4+640*d^5+224*d^6+128*d^7)*x^48+(1536*d^4-2368*d^5+1344*d^6+160*d^7)*x^50+(256*d^4-1536*d^5+2048*d^6-128*d^7)*x^52+(-384*d^5+2048*d^6-256*d^7)*x^54+(512*d^6-256*d^7)*x^56-384*d^7*x^58;

NiM+JkkiTEc2IjYkIiIiIiIjLFgqJiwmIiIpRihJImRHRiYiIiRGKEkieEdGJiIiJ0YoKiYsJiIjO0YoRi5GKUYoRjBGLUYoKiYsKCEjQ0YoRi4hI0oqJEYuRikhIiNGKEYwIiM1RigqJiwoISNrRihGLiEjJSlGOSEjQEYoRjAiIzdGKComLCghIztGKEYuISIoRjlGKUYoRjAiIzlGKComLCoiI2tGKEYuIiQjR0Y5IiQnPSokRi5GL0ZBRihGMEY0RigqJiwqIiQ3IkYoRi4iJF4iRjkiJHciRkwiI11GKEYwIiM9RigqJiwqIiRHIkYoRi4hJG8iRjkhJFQjRkxGPkYoRjAiIz9GKComLCwhIykpRihGLiEkRyNGOSEkbyVGTCEkUSQqJEYuIiIlRjdGKEYwIiNBRigqJiwsISRLJUYoRi4hJCdwRjkiIyEpRkwiI3dGam4hI1dGKEYwIiNDRigqJiwsISNjRihGLiIkWyNGOSIkYyVGTCIkUyZGam4iJCM+RihGMCIjRUYoKiYsLiIkNyZGKEYuIiVbPUY5IiRrJ0ZMISRDI0ZqbiIkbyIqJEYuIiImRjRGKEYwIiNHRigqJiwuIiMnKkYoRi4hJCU9RjkhJCdIRkwhJF8kRmpuISRDJUZkcEYtRihGMCIjSUYoKiYsLiEkKUdGKEYuISVTQUY5ISU/QEZMIiQncEZqbkZccUZkcCEkYyNGKEYwIiNLRigqJiwuISNLRihGLkY0RjkiJGspRkxGXHFGam5GYXFGZHBGSUYoRjAiI01GKComLC5GSUYoRi4iJVM5RjkiJUdIRkwhJVc4RmpuISUvOEZkcCIkMyNGKEYwIiNPRigqJiwuRi5GZnFGOSElNzhGTCEkLyhGam4iJSkzIkZkcCIkJT0qJEYuRjEiJGciRihGMCIjUUYoKiYsLkYuISQlUUY5ISUvQkZMRltzRmpuIiVXSEZkcCIkcydGanIhJGciRihGMCIjU0YoKiYsLEY5IiR3JkZMIiU7P0ZqbiElI3oiRmRwIiQvJEZqciEjJypGKEYwIiNVRigqJiwsRjkiJEspRkwiJFMnRmpuISVbR0ZkcCIkWyVGanJGNEYoRjAiI1dGKComLCxGTCElaztGam4iJGMjRmRwIiUzQUZqciEkdyYqJEYuIiIoRmZxRihGMCIjWUYoKiYsLEZMISRvKEZqbiIlaztGZHBGYHRGanIiJEMjRmp0RlZGKEYwIiNbRigqJiwqRmpuIiVPOkZkcCElb0JGanIiJVc4Rmp0RltzRihGMEZSRigqJiwqRmpuRmd0RmRwISVPOkZqciIlWz9GanQhJEciRihGMCIjX0YoKiYsKEZkcEZfc0ZqckZbdkZqdEZlcUYoRjAiI2FGKComLCZGanJGX3BGanRGZXFGKEYwIiNjRigqJkYuRlt1RjAiI2VGX3M=

L[3] := 2+(14+5*d)*x^2+(2-d+2*d^2)*x^4+(-82-70*d-10*d^2)*x^6+(-66-90*d-38*d^2)*x^8+(138+199*d+72*d^2-16*d^3)*x^10+(226+493*d+367*d^2+80*d^3)*x^12+(70-160*d-71*d^2+89*d^3)*x^14+(-238-872*d-1106*d^2-505*d^3+48*d^4)*x^16+(-458-17*d+174*d^2-304*d^3-240*d^4)*x^18+(-426-275*d+1054*d^2+1072*d^3-20*d^4)*x^20+(402+346*d-506*d^2+938*d^3+1382*d^4-64*d^5)*x^22+(1962+4302*d+1112*d^2-2638*d^3-1733*d^4+320*d^5)*x^24+(-562-3959*d-1074*d^2+1824*d^3-531*d^4-112*d^5)*x^26+(-2714-7085*d-2927*d^2+2548*d^3+1726*d^4-2028*d^5+32*d^6)*x^28+(2162+11476*d+7163*d^2-8111*d^3-1516*d^4+4694*d^5-160*d^6)*x^30+(404+2260*d+288*d^2-1133*d^3-7227*d^4-4458*d^5-80*d^6)*x^32+(-3020-15556*d-21476*d^2+3748*d^3+11619*d^4+594*d^5+2120*d^6)*x^34+(2688+7700*d+14440*d^2+10240*d^3+10282*d^4+8394*d^5-5340*d^6)*x^36+(1288+11928*d+31816*d^2+8144*d^3-25622*d^4-7728*d^5+7268*d^6+240*d^7)*x^38+(-2576-14496*d-35336*d^2-24952*d^3+10780*d^4-6284*d^5-4208*d^6-1344*d^7)*x^40+(304-3584*d-17560*d^2-11288*d^3+21092*d^4+17380*d^5-3672*d^6+3208*d^7)*x^42+(736+11840*d+36192*d^2+36040*d^3-23264*d^4-11036*d^5+13704*d^6-4056*d^7)*x^44+(-256-2144*d-3040*d^2+672*d^3-8680*d^4-24264*d^5-6784*d^6+2800*d^7)*x^46+(-3776*d-19360*d^2-35200*d^3+16832*d^4+57008*d^5+11272*d^6+4288*d^7+320*d^8)*x^48+(1536*d+7712*d^2+15424*d^3+7200*d^4-3456*d^5+216*d^6-11448*d^7-1440*d^8)*x^50+(5376*d^2+14208*d^3-5152*d^4-48224*d^5-13504*d^6+14376*d^7+2720*d^8)*x^52+(-3264*d^2-13376*d^3-12928*d^4+18176*d^5+2912*d^6-4864*d^7-2976*d^8)*x^54+(-320*d^3+64*d^4+14752*d^5+4192*d^6-768*d^7+624*d^8)*x^56+(2816*d^3+9728*d^4-7872*d^5-19808*d^6+10624*d^7+4080*d^8+32*d^9)*x^58+(-3072*d^4-10688*d^5-3392*d^6+320*d^7-6272*d^8-288*d^9)*x^60+(-768*d^4-2944*d^5+14976*d^6+8448*d^7+4288*d^8+160*d^9)*x^62+(640*d^5+2560*d^6-12288*d^7-768*d^8+96*d^9)*x^64+(256*d^6-4608*d^7+2112*d^8-256*d^9)*x^66+(5632*d^8-256*d^9)*x^68+(512*d^8-384*d^9)*x^70-640*x^72*d^9;

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

L[1, 3] := (-8-5*d)*x^6+(8+17*d+2*d^2)*x^8+(32+34*d+4*d^2)*x^10+(-16-18*d+10*d^2)*x^12+(-24-124*d-112*d^2-12*d^3)*x^14+(-136-292*d-200*d^2-34*d^3)*x^16+(144+546*d+478*d^2+83*d^3)*x^18+(160+366*d+410*d^2+281*d^3+24*d^4)*x^20+(-216-287*d-72*d^2+114*d^3+92*d^4)*x^22+(472+155*d-1246*d^2-1328*d^3-330*d^4)*x^24+(-704-1732*d-694*d^2+59*d^3-250*d^4-16*d^5)*x^26+(-656-588*d+1512*d^2+1925*d^3+762*d^4-88*d^5)*x^28+(1816+4432*d+2124*d^2-172*d^3+882*d^4+452*d^5)*x^30+(-312+488*d-744*d^2-1268*d^3-680*d^4-60*d^5)*x^32+(-1328-6592*d-5280*d^2+1664*d^3-444*d^4-1136*d^5+16*d^6)*x^34+(768+1648*d+2016*d^2-48*d^3-1208*d^4-8*d^5-280*d^6)*x^36+(224+5200*d+6432*d^2-6296*d^3-5560*d^4-512*d^5+104*d^6)*x^38+(-288-3312*d-4064*d^2+1000*d^3+5184*d^4+1816*d^5+864*d^6)*x^40+(64-1088*d-4544*d^2+7952*d^3+11064*d^4+1208*d^5-464*d^6+64*d^7)*x^42+(1536*d+4928*d^2+560*d^3-9472*d^4-3960*d^5-1448*d^6-224*d^7)*x^44+(-384*d+768*d^2-4928*d^3-11104*d^4+2032*d^5+408*d^6+32*d^7)*x^46+(-2624*d^2-2176*d^3+8288*d^4+3664*d^5-2624*d^6-352*d^7)*x^48+(896*d^2+2112*d^3+8896*d^4-3168*d^5-1056*d^6+1200*d^7)*x^50+(1536*d^3-2816*d^4-4000*d^5+8096*d^6+240*d^7+224*d^8)*x^52+(-1024*d^3-3840*d^4+3008*d^5+11104*d^6-1952*d^7-736*d^8)*x^54+(5440*d^5-1216*d^6-480*d^7+864*d^8)*x^56+(512*d^4+3200*d^5-4992*d^6-896*d^7-96*d^8)*x^58+(128*d^5-384*d^6+4800*d^7-512*d^8)*x^60+(-128*d^6+3456*d^7+256*d^8)*x^62+(-128*d^7-1152*d^8)*x^64-384*x^66*d^8;

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

L[2, 3] := 2+(2+d)*x^2+(-12-3*d)*x^4+(-12-23*d)*x^6+(18+d-9*d^2)*x^8+(26+112*d+27*d^2)*x^10+(4+44*d+105*d^2)*x^12+(-12-194*d-125*d^2+32*d^3)*x^14+(22-74*d-353*d^2-98*d^3)*x^16+(-82-75*d+137*d^2-239*d^3)*x^18+(-132-71*d+545*d^2+627*d^3-56*d^4)*x^20+(284+985*d+99*d^2+350*d^3+180*d^4)*x^22+(-122+81*d+198*d^2-780*d^3+306*d^4)*x^24+(-354-1694*d-544*d^2-317*d^3-1422*d^4+48*d^5)*x^26+(988+614*d-2150*d^2-503*d^3+438*d^4-168*d^5)*x^28+(-52+688*d+1662*d^2-1130*d^3+878*d^4-292*d^5)*x^30+(-1488-2104*d+2384*d^2+2266*d^3-568*d^4+1820*d^5-16*d^6)*x^32+(536+1784*d-1768*d^2+2752*d^3+2796*d^4-1448*d^5+64*d^6)*x^34+(944+3384*d-752*d^2-5024*d^3+932*d^4-112*d^5+264*d^6)*x^36+(-464-3440*d-1856*d^2+728*d^3-4212*d^4+560*d^5-1400*d^6)*x^38+(-224-2704*d+816*d^2+5912*d^3-1464*d^4-4056*d^5+1552*d^6)*x^40+(128+2624*d+5744*d^2-4784*d^3+2192*d^4+2096*d^5+128*d^6-128*d^7)*x^42+(832*d-1056*d^2-5040*d^3+1200*d^4+3600*d^5-8*d^6+544*d^7)*x^44+(-768*d-4960*d^2+2464*d^3+6736*d^4-848*d^5+2488*d^6-512*d^7)*x^46+(256*d^2+6048*d^3-960*d^4-3056*d^5-3952*d^6-704*d^7)*x^48+(1600*d^2+1472*d^3-9376*d^4+2240*d^5-3024*d^6+816*d^7)*x^50+(-3456*d^3+512*d^4+7936*d^5-6432*d^6-976*d^7-224*d^8)*x^52+(-1280*d^3+5504*d^4+1600*d^5-6560*d^6+1184*d^7+736*d^8)*x^54+(3328*d^4-6848*d^5+1792*d^6+2272*d^7-864*d^8)*x^56+(256*d^4-4992*d^5+4032*d^6-2304*d^7+96*d^8)*x^58+(-640*d^5+5248*d^6-4672*d^7+512*d^8)*x^60+(896*d^6-3456*d^7-256*d^8)*x^62+(-896*d^7+1152*d^8)*x^64+384*x^66*d^8;

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

L[1, 2, 3] := (8+3*d)*x^6+(8-d)*x^8+(-24-19*d-2*d^2)*x^10+(-40-47*d-15*d^2)*x^12+(-32-23*d+7*d^2)*x^14+(112+205*d+106*d^2+12*d^3)*x^16+(112+91*d+56*d^2+18*d^3)*x^18+(-48-105*d-87*d^2-30*d^3)*x^20+(8-164*d-445*d^2-178*d^3-24*d^4)*x^22+(-408-444*d-116*d^2+54*d^3+12*d^4)*x^24+(-120+232*d+616*d^2+472*d^3+76*d^4)*x^26+(824+1224*d+648*d^2+612*d^3+136*d^4+16*d^5)*x^28+(-48-232*d-88*d^2+96*d^3-112*d^4-24*d^5)*x^30+(-608-2128*d-744*d^2-104*d^3-792*d^4-120*d^5)*x^32+(160+592*d+32*d^2-864*d^3-544*d^4-64*d^5)*x^34+(160+2000*d+80*d^2-2136*d^3-432*d^4+48*d^5)*x^36+(-64-864*d-1040*d^2+1088*d^3+464*d^4+584*d^5+96*d^6)*x^38+(-704*d-288*d^2+3232*d^3+896*d^4-664*d^5-64*d^6)*x^40+(384*d+1728*d^2-1376*d^3-2112*d^4-1232*d^5-320*d^6)*x^42+(448*d^2-3328*d^3-1984*d^4-1680*d^5-16*d^6)*x^44+(-896*d^2-256*d^3+1664*d^4-4192*d^5-80*d^6-32*d^7)*x^46+(1664*d^3+768*d^4-4000*d^5+320*d^6+288*d^7)*x^48+(1024*d^3-2944*d^4-832*d^5+1280*d^6-160*d^7)*x^50+(-2560*d^4+1600*d^5-640*d^6-96*d^7)*x^52+(-512*d^4+1920*d^5-2752*d^6+256*d^7)*x^54+(640*d^5-2816*d^6+256*d^7)*x^56+(-768*d^6+384*d^7)*x^58+640*x^60*d^7;

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

D(d,x) := 1/4*(L[0]+L[1]*R[1]+L[2]*R[2]+L[1, 2]*R[1]*R[2])/(x^2*Delta)-1/4*(L[3]*R[3]+L[1, 3]*R[1]*R[3]+L[2, 3]*R[2]*R[3]+L[1, 2, 3]*R[1]*R[2]*R[3])/(x^2*(1-x^2)*(2+d-2*d*x^2+2*x^4+d*x^4+2*d*x^6)*Delta):To produce a usable Taylor series expansion, Maple needs to be told that NiMvLUklc3FydEc2IjYjKiQsJiIiIyIiIkkiZEdGJkYrRipGKQ==.taylor(x^2*D(d,x), x, 9);

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

simplify(subs(sqrt((2+d)^2)=2+d, %));

NiMrKUkieEc2IkkiZEdGJSIiJywkKiRGJiIiI0YqIiIpLUkiT0dJKnByb3RlY3RlZEdGLjYjIiIiIiM1

Now we are going to compute the Taylor series expansion of NiMtSSJERzYkSSpwcm90ZWN0ZWRHRiZJKF9zeXNsaWJHNiI2JEkiZEdGKEkieEdGKA== up to the terms with NiMqJEkieEc2IiIjSQ==.Executing the next command will take some time. My PC (which is good, but old) needs 1 minute and 40 seconds to execute that command.taylor(x^2*D(d,x), x, 33):Now you will have to wait again. My PC executes the next command in 5 minutes and 15 seconds.simplify(subs(sqrt((2+d)^2)=2+d, %));

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

convert(%, polynom);

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

tex_30:=simplify(%/x^2);

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

collect(tex_30, x);

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

sort(%, d, ascending);

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

tex_30:=sort(%, x, ascending);

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

subs(d=1, tex_30);

NiMsPiokSSJ4RzYiIiIlIiIiKiRGJSIiJyIiIyokRiUiIikiIigqJEYlIiM1IiNHKiRGJSIjNyIkQSIqJEYlIiM5IiRjJiokRiUiIzsiJT1FKiRGJSIjPSImTUUiKiRGJSIjPyImR0AnKiRGJSIjQSInNy1KKiRGJSIjQyIoJlxvOiokRiUiI0UiKFVaLCkqJEYlRjEiKVRPS1QqJEYlIiNJIio1Jz5aQA==

In the case NiMvSSJkRzYiIiIi, the Taylor series expansions are much easier to compute. For example, it does not take much time to expand NiMtSSJERzYkSSpwcm90ZWN0ZWRHRiZJKF9zeXNsaWJHNiI2JCIiIkkieEdGKA== up to the term with NiMqJEkieEc2IiIkKyM=.D(1,x):=subs(d=1, D(d,x)):taylor(x^2*D(1,x), x, 203):convert(%, polynom):expand(%/x^2):tex_200:=sort(%, x, ascending);

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