# filename=ode6mpl
# differential equation:
#   z6+ D5*z5 + D4*z4 + D3*z3+ D2*z2 +D1*z1 +D0*z0 =0
# where p=a2=a3.

D0:= 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D1:= 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D2:= 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D3:= (5292-1392*a1+30840*a0+4752*p-7074*t-158400*t^2+290344*a1*t^2-404289*t^3+744990*t^2*a0+1292709*a0*t^3+11852*p*t^2+24856*t*p+32768*a1*t+234588*a0*t+2047602*t^3*a0^2+106032*p^2*t^10-35640*a1^2*t^10+72376*p^2*t^9-63022*a1^2*t^9-53664*p^2*t^11*a0+117274*a0^2*t^11*a1-267202*a0^2*t^11*p+64350*a0^3*t^11*p-6648*t^11*a1*p+9162*a0*a1^2*t^11+465596*a0^2*t^10*a1-770168*a0^2*t^10*p-44436*p*t^10*a1+572094*a0^3*t^9*p-1112004*a0^2*t^9*p+37686*a0*t^10*a1^2-163728*a0*p^2*t^10-297000*a0*p^2*t^9-422946*a0^3*t^9*a1+95616*a0*t^9*a1^2-112560*a1*t^9*p+1004004*a0^2*t^9*a1-150030*a0^3*t^10*a1+240534*a0^3*t^10*p-232524*a0*t^7+67680*a0^5*t^7+90216*a0^5*t^8+28080*a0^5*t^6+14784*a0^3*t+14304*a0^4*t^3+73170*a0^5*t^9+4896*a0^5*t^5+46560*p^2*t^11-9834*a1^2*t^11+11565*a0^5*t^11+37143*a0^5*t^10+774*t^13*a0^2+618*a1*t^13+600300*t^7*a0*a1+180528*a0*p*t-696882*a0*t^10*a1-1461940*a0*t^9*a1+837048*a0*p*t^2-176910*a0*t^11*a1+2086300*t^3*a0*p+2806098*t^4*a0*p+1102630*a0*p*t^9-290106*t^6*a0+490851*t^5*a0+117936*a0^4*t^4+825606*a0^4*t^7+406512*a0^4*t^5+530199*a0^4*t^8+181476*a0^4*t^9+756936*a0^4*t^6+15687*a0^4*t^10-10395*a0^4*t^11-3558*a0^4*t^12-351*a0^4*t^13+16640*a0*p-31424*a0*a1+1193382*a0^3*t^7+158304*a0^3*t^2-72*t^13*a1^2-1352*t^12*a1^2-40608*a1^2*t+251664*a1^2*t^6+160038*a1^2*t^5-125760*a1^2*t^2-178768*a1^2*t^3-5376*p*a1-64080*a1^2*t^4+264256*p^2*t^3+23424*t*p^2+109824*p^2*t^2+310848*p^2*t^4-361824*p^2*t^6+41400*p^2*t^5-19584*t^8*a1^2-448848*p^2*t^7-176400*p^2*t^8+132138*t^7*a1^2+12291*a0*t^12+3426*a0^2*t^12-3132*a0^3*t^12+9536*p^2*t^12-25020*p*t^12+12081*a1*t^12+2025*a0^5*t^12-80712*t^7*a0*p^2-300168*t^8*a0*p^2+151740*a1^2*a0*t^8+134586*t^7*a0*a1^2-792621*a0^3*t^8*a1+901782*a0^3*t^8*p-994842*a0^3*t^7*a1+2186718*a0^2*t^7*p-863736*a0^2*t^7*a1-196944*a0^2*t^8*p+902553*a0^2*t^8*a1+147744*t^7*a1*p-88488*t^8*a1*p-423*t^13-10764*t^12-75537*t^11-237420*t^10+503298*t^7+23232*a0^2-72936*t^8-347148*t^9-5120*a1^2-280008*t^4+754236*t^6+331173*t^5+2048*p^2+1248*a1^2*t^12*a0-9792*p^2*t^12*a0+9924*t^12*a0^3*p+153*a0^5*t^13-96*t^13*a0*p*a1-768*t^13*a0*p^2+72*a1^2*a0*t^13-258*a0^3*t^13*a1+672*a0^3*t^13*p+8256*a0^3*t^3*p-14880*a0^3*t^3*a1-4461*a0^3*t^12*a1-34002*a0^3*t^11*a1+663120*a0^3*t^6*p+951588*a0^3*t^7*p+30264*t^10*a0*p*a1+101808*t^9*a0*p*a1-384*a0*p*t^12*a1+3336*a0*p*t^11*a1-174144*a0*p*t^4*a1-153072*a0*p*t^5*a1-99840*a0*p*t^3*a1+151704*t^7*a0*p*a1+178128*t^8*a0*p*a1-3528*t^6*a0*p*a1-30336*a0*p*t^2*a1-3840*a0*p*t*a1-46464*a1*t*p-83184*t^4*p*a1+811296*a0^2*t^3*p-1323936*a0^2*t^3*a1+160192*a0^2*t^2*p-286528*a0^2*t^2*a1-240192*p*a1*t^3-3254640*a1*a0^2*t^4+2324256*p*a0^2*t^4-109248*t^3*a0*a1^2+328464*a0*p^2*t^5+101376*a0*p^2*t^3-121872*a0^3*t^4*a1-820584*a0^3*t^6*a1+4199868*a0^2*t^6*p-3511044*a0^2*t^6*a1+240960*a0*p^2*t^4+2304*a0*p^2*t+209304*t^6*a0*p^2+14814*a1^2*a0*t^6-169488*t^4*a0*a1^2+23424*a0*p^2*t^2-36000*t^2*a0*a1^2+13952*a0^2*t*p-25280*a0^2*t*a1-156864*p*a1*t^2-4577964*a0^2*t^5*a1+4039512*a0^2*t^5*p+257832*p*t^5*a1-125388*a1^2*a0*t^5+378396*t^6*a1*p+292608*a0^3*t^5*p-422640*a0^3*t^5*a1+74208*a0^3*t^4*p-4800*t*a0*a1^2-1659816*a1*t^6+626592*a0*t^9-853950*a1*t^7-373416*p*t^4-70944*p*t^5+921708*a0^2*t^2+643218*a1*t^9+362802*a1*t^8-124248*a0^2*t^9+372816*a0*t^8+2720502*t^5*a0^2+1839087*t^6*a0^2+803286*t^7*a0^2+2855997*t^4*a0^2+93861*t^8*a0^2+1268253*t^4*a0-387144*t^9*p+69828*t^8*p+727068*p*t^7+635076*p*t^6-166590*p*t^3-704532*a1*t^5+792960*a1*t^3+657717*a1*t^4+265104*a0^3*t^8+2307231*t^6*a0^3+2567970*t^5*a0^3+1739196*t^4*a0^3-18516*a0^3*t^11-57615*a0^3*t^10-55890*a0^3*t^9+707400*a0^3*t^3+379572*a0*t^10+337240*a1*t^10+107895*t^11*a0-68895*a0^2*t^10-7236*a0^2*t^11-323584*t^10*p+89942*a1*t^11-124622*p*t^11+228312*a0^2*t+5088*a0*p*t^13+64028*a0*t^12*p-1411572*t^2*a0*a1-2809930*t^3*a0*a1-2369931*t^4*a0*a1-338712*t*a0*a1+2057478*t^6*a0*a1+409014*t^5*a0*a1-1303506*t^8*a0*a1+1481202*t^5*a0*p-877506*a0*p*t^6+333906*a0*p*t^11+886386*a0*p*t^10-1410678*a0*p*t^7+46602*a0*p*t^8-3648*t^13*a0^2*p-48420*t^12*a0^2*p+768*p^2*t^13-2112*t^13*p+81*a0*t^13-234*a0^3*t^13+822*a0^2*t^13*a1+15471*a0^2*t^12*a1+96*p*t^13*a1+144*p*t^12*a1-1182*a0*a1*t^13-23075*a0*t^12*a1)/((t+2)^3*(-3*t^4-6*t^4*a0-3*t^4*a0^2+4*a1*t^4-16*p*t^4-42*t^3-30*a0*t^3+38*a1*t^3-12*t^3*a0^2-80*p*t^3+114*a1*t^2-54*t^2*a0-78*t^2-132*p*t^2-12*a0^2*t^2-66*t-48*a0*t+128*a1*t-80*t*p+40*a1-27-16*p-24*a0)*(2*t+1)^3*(t-1)^3*(t+1)^3):

D4:= -(1/2)*(10332-12772*a1+13560*a0+4072*p+27990*t-22482*t^2+15911*a1*t^2-148968*t^3+130386*t^2*a0+142698*a0*t^3+21922*p*t^2+22840*t*p-48904*a1*t+66600*a0*t+236340*t^3*a0^2-256*p^2*t^10+24*a1^2*t^10-2496*p^2*t^9+344*a1^2*t^9-266*a0^2*t^10*a1+944*a0^2*t^10*p-32*p*t^10*a1+10556*a0^2*t^9*p-32*a1*t^9*p-4019*a0^2*t^9*a1-89610*a0*t^7+258768*t^7*a0*a1+32000*a0*p*t+908*a0*t^10*a1+14290*a0*t^9*a1+150528*a0*p*t^2+353520*t^3*a0*p+400308*t^4*a0*p-40360*a0*p*t^9-122298*t^6*a0-49542*t^5*a0+2976*a0^4*t^4+16656*a0^4*t^7+12096*a0^4*t^5+7722*a0^4*t^8+1872*a0^4*t^9+19728*a0^4*t^6+186*a0^4*t^10+2752*a0*p-4960*a0*a1+19770*a0^3*t^7+6144*a0^3*t^2-4800*a1^2*t+10068*a1^2*t^6+8472*a1^2*t^5-10608*a1^2*t^2-9936*a1^2*t^3-640*p*a1-690*a1^2*t^4+20928*p^2*t^3+3328*t*p^2+11712*p^2*t^2+17496*p^2*t^4-19464*p^2*t^6-1824*p^2*t^5+1974*t^8*a1^2-19920*p^2*t^7-9888*p^2*t^8+5952*t^7*a1^2+130304*a0^2*t^7*p-86057*a0^2*t^7*a1+49994*a0^2*t^8*p-25205*a0^2*t^8*a1+6336*t^7*a1*p+1272*t^8*a1*p+666*t^10+160200*t^7+3264*a0^2+74664*t^8+14094*t^9-800*a1^2-188532*t^4+125352*t^6-53316*t^5+384*p^2-4096*a1*t*p-2856*t^4*p*a1+33344*a0^2*t^3*p-61232*a0^2*t^3*a1+4256*a0^2*t^2*p-9680*a0^2*t^2*a1-11712*p*a1*t^3-157352*a1*a0^2*t^4+108944*p*a0^2*t^4+203258*a0^2*t^6*p-174941*a0^2*t^6*a1-10176*p*a1*t^2-216080*a0^2*t^5*a1+193232*a0^2*t^5*p+9552*p*t^5*a1+12384*t^6*a1*p-283957*a1*t^6-1074*a0*t^9-234319*a1*t^7-280514*p*t^4-193244*p*t^5+132936*a0^2*t^2-14235*a1*t^9-83917*a1*t^8-5118*a0^2*t^9-26898*a0*t^8+72474*t^5*a0^2-31068*t^6*a0^2-42744*t^7*a0^2+213594*t^4*a0^2-20298*t^8*a0^2+75522*t^4*a0+35100*t^9*p+136546*t^8*p+238348*p*t^7+115078*p*t^6-103652*p*t^3+14411*a1*t^5+281831*a1*t^3+366857*a1*t^4-3270*a0^3*t^8+83454*t^6*a0^3+134340*t^5*a0^3+106440*t^4*a0^3-336*a0^3*t^10-2478*a0^3*t^9+40848*a0^3*t^3+624*a0*t^10-906*a1*t^10-564*a0^2*t^10+3504*t^10*p+36048*a0^2*t-264288*t^2*a0*a1-468648*t^3*a0*a1-303666*t^4*a0*a1-64064*t*a0*a1+380424*t^6*a0*a1+154734*t^5*a0*a1+86550*t^8*a0*a1+92388*t^5*a0*p-278328*a0*p*t^6-3872*a0*p*t^10-332532*a0*p*t^7-166452*a0*p*t^8)/((-3*t^4-6*t^4*a0-3*t^4*a0^2+4*a1*t^4-16*p*t^4-42*t^3-30*a0*t^3+38*a1*t^3-12*t^3*a0^2-80*p*t^3+114*a1*t^2-54*t^2*a0-78*t^2-132*p*t^2-12*a0^2*t^2-66*t-48*a0*t+128*a1*t-80*t*p+40*a1-27-16*p-24*a0)*(t-1)^2*(2*t+1)^2*(t+2)^2*(t+1)^2):

D5:= -3*(-262+368*a1-240*a0-128*p-741*t-470*t^2+964*a1*t^2+703*t^3-867*t^2*a0-555*a0*t^3-1168*p*t^2-720*t*p+1392*a1*t-738*a0*t-988*t^3*a0^2+33*a0*t^7+12*t^7*a0*a1-96*a0*p*t-624*a0*p*t^2-1560*t^3*a0*p-1908*t^4*a0*p+165*t^6*a0+264*t^5*a0-9*a0^3*t^7+21*t^7+1662*t^4+366*t^6+1313*t^5-350*a1*t^6-28*a1*t^7+2408*p*t^4+2284*p*t^5-576*a0^2*t^2-195*t^5*a0^2-8*t^6*a0^2+3*t^7*a0^2-700*t^4*a0^2-6*t^4*a0+112*p*t^7+848*p*t^6+252*p*t^3-1540*a1*t^5-1800*a1*t^3-2894*a1*t^4-63*t^6*a0^3-162*t^5*a0^3-180*t^4*a0^3-72*a0^3*t^3-128*a0^2*t+1128*t^2*a0*a1+1956*t^3*a0*a1+1638*t^4*a0*a1+240*t*a0*a1+150*t^6*a0*a1+708*t^5*a0*a1-1212*t^5*a0*p-384*a0*p*t^6-48*a0*p*t^7)/((t-1)*(2*t+1)*(t+2)*(t+1)*(-3*t^4-6*t^4*a0-3*t^4*a0^2+4*a1*t^4-16*p*t^4-42*t^3-30*a0*t^3+38*a1*t^3-12*t^3*a0^2-80*p*t^3+114*a1*t^2-54*t^2*a0-78*t^2-132*p*t^2-12*a0^2*t^2-66*t-48*a0*t+128*a1*t-80*t*p+40*a1-27-16*p-24*a0)):