[
    (((1/414540*(29*a - 313)*r1 + 1/414540*(19*a - 795))*r4 + (1/177660*(19*a - 231)*r1 + 1/177660*(41*a - 
        825))*r3)*t^2 + ((1/2487240*(23*a - 339)*r1 + 1/2487240*(109*a - 405))*r3*r4 + (1/118440*(7*a - 95)*r1 + 
        1/39480*(11*a - 15)))*t + ((1/59220*(-3*a + 34)*r1 + 1/177660*(-13*a + 210))*r4 + (1/177660*(-13*a + 
        163)*r1 + 1/177660*(-33*a + 515))*r3))*b2^2 + (((1/207270*(-257*a + 3602)*r1 + 1/207270*(-452*a + 6705))*r4
        + (1/88830*(-170*a + 2193)*r1 + 1/88830*(-493*a + 6120))*r3)*t^2 + ((1/355320*(61*a - 801)*r1 + 
        1/355320*(191*a - 2055))*r3*r4 + (1/118440*(85*a - 1261)*r1 + 1/39480*(53*a - 585)))*t + ((1/236880*(143*a 
        - 1981)*r1 + 1/142128*(149*a - 2331))*r4 + (1/101520*(93*a - 1195)*r1 + 1/20304*(53*a - 679))*r3))*b2 + 
        ((1/14805*(-99*a + 1169)*r1 + 1/14805*(-107*a + 2325))*r4 + (1/44415*(-467*a + 5841)*r1 + 1/44415*(-1171*a 
        + 18645))*r3)*t^2 + ((1/88830*(-85*a + 1167)*r1 + 1/88830*(-317*a + 2355))*r3*r4 + (1/29610*(-177*a + 
        2335)*r1 + 1/9870*(-211*a + 1185)))*t + ((1/840*(-a + 13)*r1 + 1/420*(-a + 15))*r3 + (1/59220*(290*a - 
        3647)*r1 + 1/355320*(3187*a - 46005)))*r4 + (1/177660*(1429*a - 19313)*r1 + 1/355320*(7931*a - 108575))*r3 
        + 1/840*(-5*a + 63)*r1 + 1/420*(-7*a + 120),
    ((((((1/16581600*(59*a + 475)*r1 + 1/9948960*(-29*a - 345))*r3 + (1/49744800*(37*a + 5205)*r1 + 
        1/9948960*(-103*a + 1089)))*r4 + ((1/9948960*(-205*a - 669)*r1 + 1/9948960*(-337*a - 1241))*r3 + 
        (1/49744800*(-187*a - 12435)*r1 + 1/9948960*(227*a - 2745))))*t^2 + (((1/12436200*(37*a + 270)*r1 + 
        1/211680*(a + 9))*r3 + (1/4974480*(10*a + 153)*r1 + 1/9948960*(-25*a + 111)))*r4 + ((1/24872400*(-124*a - 
        1305)*r1 + 1/9948960*(41*a + 397))*r3 + (1/49744800*(59*a - 6105)*r1 + 1/4974480*(109*a - 405))))*t + 
        (((1/198979200*(-361*a - 1345)*r1 + 1/7959168*(11*a + 267))*r3 + (1/24872400*(-71*a - 1185)*r1 + 
        1/19897920*(-17*a - 951)))*r4 + ((1/8290800*(53*a + 120)*r1 + 1/19897920*(149*a + 207))*r3 + 
        (1/198979200*(-547*a + 25485)*r1 + 1/39795840*(-635*a + 7557)))))*b1 + ((((1/2487240*(-148*a + 1881)*r1 + 
        1/497448*(-83*a + 1066))*r3 + (1/236880*(13*a - 163)*r1 + 1/4974480*(823*a - 5865)))*r4 + ((1/710640*(-a - 
        161)*r1 + 1/5040*(a - 15))*r3 + (1/16920*(-3*a + 34)*r1 + 1/23688*(-8*a + 75))))*t^2 + (((1/9948960*(-145*a
        + 2223)*r1 + 1/9948960*(-717*a + 9395))*r3 + (1/473760*(19*a - 231)*r1 + 1/1421280*(137*a - 1725)))*r4 + 
        ((1/1421280*(127*a - 1643)*r1 + 1/284256*(75*a - 991))*r3 + (1/473760*(-55*a + 733)*r1 + 1/1421280*(-557*a 
        + 6015))))*t + (((1/2842560*(41*a - 543)*r1 + 1/2842560*(131*a - 1845))*r3 + (1/947520*(-5*a + 41)*r1 + 
        1/189504*(-a - 67)))*r4 + ((1/60480*(a - 5)*r1 + 1/315840*(-17*a + 365))*r3 + (1/947520*(45*a - 463)*r1 + 
        1/2842560*(157*a - 855))))))*b2^2 + (((((1/16581600*(139*a + 6305)*r1 + 1/9948960*(-97*a + 1773))*r3 + 
        (1/49744800*(2477*a + 7005)*r1 + 1/9948960*(871*a - 393)))*r4 + ((1/7106400*(77*a - 7155)*r1 + 
        1/40608*(-3*a - 107))*r3 + (1/7106400*(-1109*a + 2025)*r1 + 1/1421280*(-575*a + 579))))*t^2 + 
        (((1/49744800*(179*a + 7575)*r1 + 1/211680*(5*a + 87))*r3 + (1/24872400*(493*a + 930)*r1 + 1/9948960*(529*a
        + 99)))*r4 + ((1/3553200*(-53*a - 2235)*r1 + 1/1421280*(27*a - 541))*r3 + (1/3553200*(-262*a + 165)*r1 + 
        1/101520*(-13*a + 69))))*t + (((1/28425600*(-91*a - 3935)*r1 + 1/5685120*(11*a - 297))*r3 + 
        (1/14212800*(-226*a - 3345)*r1 + 1/2842560*(-88*a - 1149)))*r4 + ((1/676800*(-2*a + 195)*r1 + 
        1/2842560*(58*a + 1677))*r3 + (1/28425600*(2203*a - 6465)*r1 + 1/812160*(143*a - 477)))))*b1 + 
        ((((1/88830*(49*a - 618)*r1 + 1/71064*(115*a - 1507))*r3 + (1/829080*(-129*a + 1415)*r1 + 1/248724*(-113*a 
        + 1923)))*r4 + ((1/355320*(51*a - 1283)*r1 + 1/1260*(-2*a + 15))*r3 + (1/118440*(215*a - 2797)*r1 + 
        1/59220*(254*a - 3615))))*t^2 + (((1/101520*(8*a - 75)*r1 + 1/710640*(356*a - 3925))*r3 + (1/473760*(-199*a
        + 2553)*r1 + 1/1421280*(-1613*a + 21555)))*r4 + ((1/1421280*(-1157*a + 14507)*r1 + 1/1421280*(-3517*a + 
        45515))*r3 + (1/236880*(126*a - 1475)*r1 + 1/710640*(1288*a - 17715))))*t + (((1/1421280*(-211*a + 2595)*r1
        + 1/710640*(-356*a + 4395))*r3 + (1/473760*(-27*a + 353)*r1 + 1/473760*(-121*a + 1105)))*r4 + ((1/7560*(-a 
        + 19)*r1 + 1/236880*(149*a - 780))*r3 + (1/236880*(-137*a + 1819)*r1 + 1/1421280*(-1709*a + 25275))))))*b2 
        + (((((1/829080*(-152*a + 767)*r1 + 1/355320*(52*a + 1839))*r3 + (1/24872400*(3413*a - 184365)*r1 + 
        1/994896*(557*a - 16449)))*r4 + ((1/710640*(847*a - 5385)*r1 + 1/710640*(1181*a - 13087))*r3 + 
        (1/1776600*(-253*a + 41235)*r1 + 1/25380*(-77*a + 951))))*t^2 + (((1/14212800*(-1807*a + 1695)*r1 + 
        1/60480*(-7*a + 39))*r3 + (1/14212800*(-1663*a - 46185)*r1 + 1/568512*(203*a - 2379)))*r4 + 
        ((1/14212800*(3329*a - 5565)*r1 + 1/2842560*(-781*a - 19615))*r3 + (1/14212800*(-3749*a + 90225)*r1 + 
        1/2842560*(-3239*a + 36411))))*t + (((1/568512*(63*a - 338)*r1 + 1/2842560*(-100*a - 8439))*r3 + 
        (1/14212800*(1507*a + 45180)*r1 + 1/2842560*(190*a + 17289)))*r4 + ((1/4737600*(-1963*a + 19020)*r1 + 
        1/2842560*(-1234*a + 28101))*r3 + (1/2842560*(1391*a - 32904)*r1 + 1/2842560*(5282*a - 62103)))))*b1 + 
        ((((1/355320*(2243*a - 26439)*r1 + 1/355320*(5487*a - 82255))*r3 + (1/59220*(-463*a + 5921)*r1 + 
        1/17766*(-344*a + 3789)))*r4 + ((1/355320*(-547*a + 12983)*r1 + 1/840*(-23*a + 295))*r3 + (1/8460*(145*a - 
        1753)*r1 + 1/1692*(53*a - 585))))*t^2 + (((1/355320*(683*a - 9699)*r1 + 1/710640*(6401*a - 81365))*r3 + 
        (1/118440*(-467*a + 5700)*r1 + 1/710640*(-6371*a + 80085)))*r4 + ((1/710640*(-7047*a + 85553)*r1 + 
        1/355320*(-9556*a + 139525))*r3 + (1/236880*(3755*a - 49027)*r1 + 1/355320*(16273*a - 201645))))*t + 
        (((1/2842560*(-3697*a + 42291)*r1 + 1/2842560*(-9577*a + 156495))*r3 + (1/947520*(1439*a - 17797)*r1 + 
        1/189504*(363*a - 1717)))*r4 + ((1/60480*(-57*a + 259)*r1 + 1/947520*(8267*a - 121125))*r3 + 
        (1/135360*(-467*a + 5465)*r1 + 1/406080*(-1481*a + 10095)))))))*i + (((((1/9948960*(-25*a + 111)*r1 + 
        1/9948960*(-97*a - 201))*r3 + (1/7106400*(-41*a - 585)*r1 + 1/1989792*(-29*a - 345)))*r4 + 
        ((1/49744800*(127*a - 985)*r1 + 1/9948960*(285*a + 3209))*r3 + (1/16581600*(-131*a + 1845)*r1 + 
        1/3316320*(157*a + 3093))))*t^2 + (((1/3316320*(-3*a - 13)*r1 + 1/4974480*(-29*a - 345))*r3 + 
        (1/3109050*(8*a - 75)*r1 + 1/9948960*(-59*a - 1791)))*r4 + ((1/49744800*(313*a - 1495)*r1 + 1/2487240*(43*a
        - 33))*r3 + (1/3316320*(13*a + 495)*r1 + 1/1658160*(19*a + 521))))*t + (((1/49744800*(-17*a + 365)*r1 + 
        1/19897920*(65*a + 1159))*r3 + (1/39795840*(155*a + 891)*r1 + 1/7959168*(83*a + 579)))*r4 + ((1/66326400*(a
        - 215)*r1 + 1/13265280*(-79*a - 1439))*r3 + (1/49744800*(-209*a - 1125)*r1 + 1/3979584*(-103*a - 
        885)))))*b1 + ((((1/1658160*(33*a - 515)*r1 + 1/994896*(97*a - 1115))*r3 + (1/829080*(37*a - 388)*r1 + 
        1/2487240*(104*a - 975)))*r4 + ((1/355320*(34*a - 307)*r1 + 1/355320*(11*a + 690))*r3 + (1/236880*(33*a - 
        515)*r1 + 1/236880*(163*a - 2145))))*t^2 + (((1/9948960*(-59*a + 183)*r1 + 1/1989792*(45*a - 1121))*r3 + 
        (1/473760*(-15*a + 217)*r1 + 1/284256*(-37*a + 435)))*r4 + ((1/1421280*(-33*a + 515)*r1 + 1/203040*(-23*a +
        245))*r3 + (1/157920*(-5*a + 41)*r1 + 1/1421280*(31*a - 555))))*t + (((1/2842560*(-23*a + 339)*r1 + 
        1/568512*(-19*a + 231))*r3 + (1/947520*(-25*a + 299)*r1 + 1/947520*(-51*a + 625)))*r4 + ((1/2842560*(-115*a
        + 1037)*r1 + 1/406080*(-7*a - 375))*r3 + (1/315840*(-23*a + 339)*r1 + 1/568512*(-179*a + 2295))))))*b2^2 + 
        (((((1/49744800*(671*a + 495)*r1 + 1/9948960*(-23*a - 5583))*r3 + (1/49744800*(-571*a - 18705)*r1 + 
        1/9948960*(-485*a - 14823)))*r4 + ((1/7106400*(-219*a - 4145)*r1 + 1/1421280*(151*a + 1093))*r3 + 
        (1/157920*(-3*a - 107)*r1 + 1/157920*(23*a + 319))))*t^2 + (((1/16581600*(73*a + 755)*r1 + 1/4974480*(-97*a
        - 1188))*r3 + (1/49744800*(-131*a + 11715)*r1 + 1/9948960*(-421*a - 1605)))*r4 + ((1/710640*(-21*a + 97)*r1
        + 1/710640*(-11*a + 720))*r3 + (1/2368800*(107*a + 495)*r1 + 1/118440*(16*a + 179))))*t + 
        (((1/14212800*(12*a - 1405)*r1 + 1/2842560*(60*a + 401))*r3 + (1/28425600*(-127*a + 5685)*r1 + 
        1/5685120*(83*a + 4527)))*r4 + ((1/9475200*(19*a + 2495)*r1 + 1/270720*(-13*a - 25))*r3 + 
        (1/14212800*(424*a - 3975)*r1 + 1/2842560*(38*a - 4551)))))*b1 + ((((1/59220*(4*a - 61)*r1 + 1/71064*(5*a -
        41))*r3 + (1/414540*(-195*a + 2774)*r1 + 1/2487240*(-1349*a + 26835)))*r4 + ((1/355320*(-225*a + 3349)*r1 +
        1/17766*(5*a + 147))*r3 + (1/59220*(-19*a + 137)*r1 + 1/118440*(-323*a + 3645))))*t^2 + (((1/1421280*(101*a
        - 1599)*r1 + 1/1421280*(-143*a - 275))*r3 + (1/236880*(13*a - 116)*r1 + 1/710640*(223*a - 3060)))*r4 + 
        ((1/710640*(-103*a + 1418)*r1 + 1/710640*(-249*a + 2540))*r3 + (1/52640*(29*a - 407)*r1 + 1/284256*(223*a -
        3765))))*t + (((1/710640*(-a + 27)*r1 + 1/710640*(2*a - 195))*r3 + (1/118440*(25*a - 346)*r1 + 
        1/473760*(157*a - 2735)))*r4 + ((1/1421280*(319*a - 4759)*r1 + 1/710640*(-137*a - 1800))*r3 + 
        (1/157920*(45*a - 463)*r1 + 1/1421280*(2123*a - 25455))))))*b2 + ((((1/12436200*(2308*a - 43845)*r1 + 
        1/355320*(242*a - 1881))*r3 + (1/24872400*(6101*a + 106275)*r1 + 1/4974480*(1525*a + 14943)))*r4 + 
        ((1/3553200*(-1517*a - 12245)*r1 + 1/710640*(-1471*a - 21947))*r3 + (1/592200*(431*a - 9945)*r1 + 
        1/29610*(-25*a - 1863))))*t^2 + (((1/947520*(103*a + 697)*r1 + 1/568512*(251*a + 3093))*r3 + 
        (1/14212800*(-2969*a + 60705)*r1 + 1/2842560*(-199*a + 39495)))*r4 + ((1/14212800*(-7049*a + 98485)*r1 + 
        1/2842560*(-3571*a + 34095))*r3 + (1/1579200*(123*a - 20335)*r1 + 1/947520*(403*a - 18871))))*t + 
        (((1/14212800*(709*a - 2270)*r1 + 1/2842560*(-356*a - 6509))*r3 + (1/14212800*(-3601*a + 3180)*r1 + 
        1/2842560*(-1498*a + 2517)))*r4 + ((1/135360*(3*a + 436)*r1 + 1/947520*(306*a + 13499))*r3 + 
        (1/2030400*(479*a + 3000)*r1 + 1/2842560*(3334*a + 29691)))))*b1 + (((1/118440*(-295*a + 3359)*r1 + 
        1/355320*(-2937*a + 47245))*r3 + (1/14805*(-98*a + 1189)*r1 + 1/35532*(-307*a + 4059)))*r4 + 
        ((1/355320*(-3553*a + 41129)*r1 + 1/355320*(-1831*a - 24165))*r3 + (1/4230*(-62*a + 875)*r1 + 
        1/4230*(-292*a + 3795))))*t^2 + (((1/177660*(155*a - 1647)*r1 + 1/101520*(-103*a + 2875))*r3 + 
        (1/118440*(386*a - 5111)*r1 + 1/710640*(8597*a - 104655)))*r4 + ((1/710640*(2441*a - 28307)*r1 + 
        1/355320*(3977*a - 61930))*r3 + (1/78960*(555*a - 6619)*r1 + 1/35532*(211*a - 3159))))*t + 
        ((1/2842560*(1957*a - 21255)*r1 + 1/2842560*(5533*a - 93555))*r3 + (1/947520*(3435*a - 43489)*r1 + 
        1/947520*(7139*a - 94805)))*r4 + (1/2842560*(11853*a - 135415)*r1 + 1/568512*(1057*a + 21657))*r3 + 
        1/45120*(293*a - 4151)*r1 + 1/406080*(12317*a - 157155),
    (((((1/132300*(-a + 5)*r1 + 1/1658160*(-25*a + 111))*r3*r4 + (1/24872400*(-503*a + 2865)*r1 + 1/2487240*(-29*a 
        + 1629)))*t^2 + ((1/6632640*(25*a - 111)*r1 + 1/2210880*(13*a - 163))*r4 + (1/99489600*(1003*a - 5085)*r1 +
        1/19897920*(353*a - 2199))*r3)*t + ((1/99489600*(347*a - 2225)*r1 + 1/19897920*(107*a - 1291))*r3*r4 + 
        (1/16581600*(219*a - 1025)*r1 + 1/3316320*(17*a - 1352))))*b1 + (((1/4974480*(33*a - 515)*r1 + 
        1/4974480*(157*a - 855))*r3*r4 + (1/78960*(13*a - 163)*r1 + 1/710640*(317*a - 2355)))*t^2 + 
        ((1/118440*(-3*a + 34)*r1 + 1/236880*(-11*a + 15))*r4 + 1/710640*(a - 215)*r3)*t + ((1/1421280*(-5*a + 
        88)*r1 + 1/1421280*(-33*a + 280))*r3*r4 + (1/473760*(-18*a + 251)*r1 + 1/284256*(-40*a + 375)))))*b2^2 + 
        ((((1/529200*(17*a - 155)*r1 + 1/1658160*(59*a - 1499))*r3*r4 + (1/1776600*(133*a - 3450)*r1 + 
        1/355320*(107*a - 633)))*t^2 + ((1/33163200*(-577*a + 12195)*r1 + 1/6632640*(-359*a + 3489))*r4 + 
        (1/14212800*(-589*a + 6315)*r1 + 1/2842560*(-155*a + 3057))*r3)*t + ((1/14212800*(-222*a + 2375)*r1 + 
        1/2842560*(-82*a + 1039))*r3*r4 + (1/947520*(-37*a + 1046)*r1 + 1/947520*(-153*a + 982))))*b1 + 
        (((1/355320*(55*a - 686)*r1 + 1/355320*(199*a - 2130))*r3*r4 + (1/39480*(-5*a + 88)*r1 + 1/355320*(377*a - 
        450)))*t^2 + ((1/236880*(a - 74)*r1 + 1/47376*(-20*a + 117))*r4 + (1/5040*(-a + 12)*r1 + 1/710640*(-572*a +
        6185))*r3)*t + ((1/1421280*(-101*a + 1364)*r1 + 1/1421280*(-253*a + 2930))*r3*r4 + (1/473760*(-44*a + 
        577)*r1 + 1/1421280*(-562*a + 4035)))))*b2 + (((((1/1058400*(657*a - 7205)*r1 + 1/473760*(545*a - 6349))*r3
        + (1/117600*(13*a + 75)*r1 + 1/23520*(11*a + 141)))*r4 + ((1/3360*(-a + 13)*r1 + 1/3360*(a + 67))*r3 + 
        (1/7106400*(10439*a - 186255)*r1 + 1/1421280*(3793*a - 97617))))*t^2 + (((1/33600*(a - 5)*r1 + 1/6720*(-a -
        19))*r3 + (1/315840*(-83*a + 1395)*r1 + 1/947520*(-599*a + 9687)))*r4 + ((1/2842560*(-2383*a + 24015)*r1 + 
        1/2842560*(-3937*a + 49617))*r3 + (1/11200*(-3*a + 15)*r1 + 1/960*(-a - 3))))*t + (((1/28425600*(-8467*a + 
        103025)*r1 + 1/5685120*(-2859*a + 47113))*r3 + (1/67200*(-a - 45)*r1 + 1/13440*(-a - 45)))*r4 + 
        ((1/67200*(11*a - 125)*r1 + 1/13440*(-a - 121))*r3 + (1/1353600*(-1309*a + 18235)*r1 + 1/1895040*(-2687*a +
        72361)))))*b1 + ((((1/355320*(-671*a + 8153)*r1 + 1/35532*(-208*a + 2937))*r3 + (-1/70*r1 + 1/840*(a + 
        15)))*r4 + ((1/120*(-a + 13)*r1 + 1/60*(-a + 15))*r3 + (1/2820*(-46*a + 537)*r1 + 1/50760*(-1589*a + 
        13575))))*t^2 + (((1/560*(a - 13)*r1 + 1/280*(a - 15))*r3 + (1/118440*(290*a - 3083)*r1 + 1/236880*(421*a +
        1605)))*r4 + ((1/2520*(4*a - 51)*r1 + 1/710640*(3303*a - 40865))*r3 + (1/1680*(a + 3)*r1 + 1/280*(a - 
        15))))*t + (((1/2842560*(2925*a - 35359)*r1 + 1/568512*(2075*a - 30833))*r3 + (1/6720*(-a + 75)*r1 + 
        1/6720*(-11*a - 15)))*r4 + ((1/960*(3*a - 37)*r1 + 1/192*(a - 15))*r3 + (1/135360*(665*a - 7991)*r1 + 
        1/406080*(4877*a - 52155)))))))*i + ((((1/2072700*(8*a - 75)*r1 + 1/4974480*(115*a + 279))*r4 + 
        (1/24872400*(11*a + 4215)*r1 + 1/621810*(-a + 215))*r3)*t^2 + ((1/99489600*(137*a - 3135)*r1 + 
        1/19897920*(55*a - 1297))*r3*r4 + (1/99489600*(-613*a + 195)*r1 + 1/19897920*(-587*a - 2763)))*t + 
        ((1/14212800*(-49*a + 195)*r1 + 1/423360*(-5*a - 3))*r4 + (1/2487240*(-10*a - 153)*r1 + 1/1105440*(-10*a - 
        153))*r3))*b1 + (((1/236880*(-29*a + 407)*r1 + 1/1658160*(-751*a + 10125))*r4 + (1/710640*(-147*a + 
        1901)*r1 + 1/142128*(-87*a + 1033))*r3)*t^2 + ((1/4974480*(221*a - 2771)*r1 + 1/829080*(97*a - 1115))*r3*r4
        + (1/236880*(37*a - 529)*r1 + 1/355320*(212*a - 3045)))*t + ((1/473760*(25*a - 346)*r1 + 1/1421280*(271*a -
        3510))*r4 + (1/1421280*(96*a - 1229)*r1 + 1/30240*(6*a - 65))*r3)))*b2^2 + ((((1/8290800*(-397*a + 3105)*r1
        + 1/4974480*(-403*a + 6369))*r4 + (1/888300*(64*a + 105)*r1 + 1/355320*(65*a + 172))*r3)*t^2 + 
        ((1/99489600*(-1613*a + 4635)*r1 + 1/19897920*(-675*a + 1681))*r3*r4 + (1/14212800*(667*a - 8985)*r1 + 
        1/2842560*(221*a - 5403)))*t + ((1/14212800*(298*a - 3675)*r1 + 1/60480*(2*a - 45))*r4 + 
        (1/14212800*(-221*a - 3480)*r1 + 1/947520*(-59*a - 804))*r3))*b1 + (((1/829080*(624*a - 7495)*r1 + 
        1/829080*(2252*a - 28515))*r4 + (1/355320*(494*a - 6241)*r1 + 1/355320*(1364*a - 19015))*r3)*t^2 + 
        ((1/710640*(-219*a + 2858)*r1 + 1/236880*(-168*a + 2515))*r3*r4 + (1/236880*(-249*a + 3010)*r1 + 
        1/710640*(-2734*a + 33915)))*t + ((1/473760*(-153*a + 1828)*r1 + 1/1421280*(-1651*a + 21030))*r4 + 
        (1/1421280*(-580*a + 7247)*r1 + 1/30240*(-34*a + 485))*r3)))*b2 + ((((1/23520*(a + 23)*r1 + 1/23520*(3*a + 
        125))*r3 + (1/5527200*(-1399*a - 11765)*r1 + 1/9948960*(-11533*a - 74103)))*r4 + ((1/7106400*(4291*a - 
        95835)*r1 + 1/1421280*(2421*a - 39517))*r3 + (1/5600*(3*a - 15)*r1 + 1/1120*(a - 13))))*t^2 + 
        (((1/14212800*(-3049*a + 48765)*r1 + 1/568512*(-275*a + 4135))*r3 + (1/11200*(-a - 15)*r1 + 1/6720*(-a - 
        15)))*r4 + ((1/33600*(-3*a - 125)*r1 + 1/6720*(-a - 79))*r3 + (1/14212800*(4421*a + 98055)*r1 + 
        1/2842560*(4147*a + 55257))))*t + (((1/67200*(-a + 35)*r1 + 1/13440*(-a - 5))*r3 + (1/28425600*(6763*a + 
        135)*r1 + 1/120960*(77*a - 39)))*r4 + ((1/28425600*(871*a + 102255)*r1 + 1/1895040*(-55*a + 14457))*r3 + 
        (1/67200*(-19*a + 165)*r1 + 1/1920*(-a + 15)))))*b1 + (((1/140*r1 + 1/280*(-a + 15))*r3 + (1/118440*(1903*a
        - 25343)*r1 + 1/59220*(3131*a - 41955)))*r4 + ((1/88830*(2117*a - 27455)*r1 + 1/355320*(25349*a - 
        319985))*r3 + (1/840*(a - 3)*r1 + 1/420*(4*a - 45))))*t^2 + (((1/710640*(-3551*a + 45211)*r1 + 
        1/118440*(-1579*a + 19885))*r3 + (-1/280*r1 + 1/1680*(-a + 15)))*r4 + ((-1/120*r1 + 1/240*(a - 15))*r3 + 
        (1/236880*(-4783*a + 64187)*r1 + 1/355320*(-24739*a + 339705))))*t + ((1/6720*(-a - 1)*r1 + 1/1344*(a - 
        15))*r3 + (1/947520*(-6071*a + 80257)*r1 + 1/2842560*(-59647*a + 780825)))*r4 + (1/2842560*(-21803*a + 
        283745)*r1 + 1/60480*(-1379*a + 16505))*r3 + 1/6720*(-5*a + 63)*r1 + 1/1344*(-7*a + 69),
    ((((((1/49744800*(-251*a + 1325)*r1 + 1/9948960*(-53*a + 867))*r3 + (1/24872400*(121*a - 2985)*r1 + 
        1/2487240*(20*a - 681)))*r4 + ((1/12436200*(313*a + 150)*r1 + 1/4974480*(155*a - 1083))*r3 + 
        (1/49744800*(-613*a + 195)*r1 + 1/9948960*(-587*a - 2763))))*t^2 + (((1/49744800*(-243*a - 395)*r1 + 
        1/1658160*(-8*a + 75))*r3 + (1/14212800*(17*a + 105)*r1 + 1/84672*(a + 9)))*r4 + ((1/99489600*(377*a - 
        2095)*r1 + 1/2210880*(a - 215))*r3 + (1/49744800*(-367*a + 6525)*r1 + 1/1658160*(-34*a + 401))))*t + 
        (((1/198979200*(309*a - 635)*r1 + 1/39795840*(139*a + 383))*r3 + (1/198979200*(-527*a + 8025)*r1 + 
        1/1473920*(-a + 215)))*r4 + ((1/198979200*(-2127*a - 3295)*r1 + 1/846720*(-13*a + 51))*r3 + (1/66326400*(-a
        + 215)*r1 + 1/2653056*(41*a + 397)))))*b1 + ((((1/2487240*(33*a - 515)*r1 + 1/621810*(41*a - 590))*r3 + 
        (1/1658160*(5*a + 241)*r1 + 1/4974480*(-589*a + 14775)))*r4 + ((1/236880*(-a + 27)*r1 + 1/710640*(-3*a + 
        1585))*r3 + (1/118440*(-3*a - 13)*r1 + 1/177660*(43*a - 1020))))*t^2 + (((1/9948960*(-61*a + 613)*r1 + 
        1/9948960*(-157*a - 2435))*r3 + (1/157920*(-a + 27)*r1 + 1/1421280*(-119*a + 2085)))*r4 + 
        ((1/1421280*(-33*a + 515)*r1 + 1/1421280*(-163*a + 2145))*r3 + (1/94752*(-5*a + 41)*r1 + 1/473760*(7*a - 
        1035))))*t + (((1/1421280*(-5*a + 88)*r1 + 1/1421280*(-34*a + 495))*r3 + (1/189504*(a - 27)*r1 + 
        1/947520*(63*a - 1325)))*r4 + ((1/406080*(a - 27)*r1 + 1/568512*(9*a - 619))*r3 + (1/157920*(8*a - 75)*r1 +
        1/1421280*(31*a + 1560))))))*b2^2 + (((((1/49744800*(927*a - 15065)*r1 + 1/9948960*(377*a - 3411))*r3 + 
        (1/24872400*(-1438*a + 4845)*r1 + 1/4974480*(-649*a + 1026)))*r4 + ((1/710640*(-37*a + 1422)*r1 + 
        1/142128*(-22*a + 453))*r3 + (1/7106400*(667*a - 8985)*r1 + 1/1421280*(221*a - 5403))))*t^2 + 
        (((1/49744800*(299*a - 19870)*r1 + 1/3316320*(81*a - 1952))*r3 + (1/99489600*(-1469*a + 13155)*r1 + 
        1/423360*(-5*a + 291)))*r4 + ((1/14212800*(-169*a + 4375)*r1 + 1/947520*(-37*a + 59))*r3 + 
        (1/7106400*(547*a - 2220)*r1 + 1/473760*(71*a - 460))))*t + (((1/5685120*(-29*a + 313)*r1 + 1/5685120*(9*a 
        + 979))*r3 + (1/5685120*(103*a - 1089)*r1 + 1/631680*(37*a - 59)))*r4 + ((1/28425600*(571*a - 24065)*r1 + 
        1/17280*(a - 27))*r3 + (1/9475200*(-207*a + 1735)*r1 + 1/1895040*(-53*a + 1525)))))*b1 + 
        ((((1/355320*(-31*a + 320)*r1 + 1/355320*(-174*a + 1925))*r3 + (1/1658160*(477*a - 4513)*r1 + 
        1/4974480*(10963*a - 103395)))*r4 + ((1/236880*(149*a - 2049)*r1 + 1/710640*(1199*a - 13855))*r3 + 
        (1/118440*(-23*a + 10)*r1 + 1/355320*(-1346*a + 11385))))*t^2 + (((1/710640*(-39*a + 583)*r1 + 
        1/142128*(-21*a + 191))*r3 + (1/39480*(2*a - 7)*r1 + 1/710640*(523*a - 4815)))*r4 + ((1/355320*(19*a - 
        137)*r1 + 1/710640*(323*a - 3645))*r3 + (1/118440*(3*a - 175)*r1 + 1/118440*(-202*a + 1365))))*t + 
        (((1/177660*(5*a - 41)*r1 + 1/1421280*(319*a - 3255))*r3 + (1/473760*(-67*a + 681)*r1 + 1/11844*(-11*a + 
        109)))*r4 + ((1/355320*(-101*a + 1317)*r1 + 1/284256*(-271*a + 2993))*r3 + (1/157920*(-17*a + 365)*r1 + 
        1/710640*(769*a - 4125))))))*b2 + (((((1/49744800*(21647*a - 163255)*r1 + 1/1421280*(667*a - 11523))*r3 + 
        (1/49744800*(-25477*a + 223425)*r1 + 1/9948960*(-11227*a + 69351)))*r4 + ((1/7106400*(-12359*a + 4035)*r1 +
        1/1421280*(-3473*a + 11709))*r3 + (1/7106400*(5267*a - 66915)*r1 + 1/1421280*(4993*a - 8193))))*t^2 + 
        (((1/3553200*(1228*a + 1295)*r1 + 1/236880*(106*a - 277))*r3 + (1/7106400*(-383*a + 1035)*r1 + 
        1/30240*(-17*a - 111)))*r4 + ((1/7106400*(-2433*a + 10795)*r1 + 1/473760*(-61*a + 2587))*r3 + 
        (1/355320*(259*a - 2199)*r1 + 1/236880*(521*a - 1471))))*t + (((1/14212800*(-1724*a + 8525)*r1 + 
        1/2842560*(-539*a + 1252))*r3 + (1/14212800*(3509*a - 21000)*r1 + 1/315840*(108*a - 1459)))*r4 + 
        ((1/14212800*(10349*a - 5930)*r1 + 1/8640*(10*a - 39))*r3 + (1/676800*(32*a + 1345)*r1 + 1/947520*(-753*a -
        2276)))))*b1 + ((((1/177660*(-107*a + 962)*r1 + 1/355320*(-857*a + 17875))*r3 + (1/118440*(-133*a + 677)*r1
        + 1/177660*(2189*a - 39645)))*r4 + ((1/39480*(-57*a + 505)*r1 + 1/88830*(a - 6325))*r3 + (1/8460*(14*a + 
        139)*r1 + 1/10152*(-383*a + 6393))))*t^2 + (((1/710640*(551*a - 5947)*r1 + 1/710640*(623*a + 2825))*r3 + 
        (1/9870*(8*a - 169)*r1 + 1/355320*(3667*a - 54735)))*r4 + ((1/710640*(1313*a - 13925)*r1 + 1/710640*(4651*a
        - 82995))*r3 + (1/23688*(113*a - 1171)*r1 + 1/118440*(-647*a + 19725))))*t + (((1/2842560*(669*a - 6595)*r1
        + 1/2842560*(3769*a - 72435))*r3 + (1/947520*(347*a - 1473)*r1 + 1/947520*(-5197*a + 87115)))*r4 + 
        ((1/2842560*(2347*a - 22197)*r1 + 1/2842560*(-637*a + 85255))*r3 + (1/45120*(-165*a + 1447)*r1 + 
        1/406080*(2351*a - 61785)))))))*i + (((((1/12436200*(-54*a + 95)*r1 + 1/4974480*(-29*a + 313))*r3 + 
        (1/49744800*(229*a + 3405)*r1 + 1/9948960*(127*a + 1647)))*r4 + ((1/49744800*(-1003*a + 5085)*r1 + 
        1/9948960*(-353*a + 2199))*r3 + (1/24872400*(113*a - 7845)*r1 + 1/2487240*(-64*a - 2361))))*t^2 + 
        (((1/99489600*(433*a - 975)*r1 + 1/19897920*(149*a - 451))*r3 + (1/1058400*(-a + 75)*r1 + 1/1658160*(9*a + 
        368)))*r4 + ((1/9948960*(13*a - 163)*r1 + 1/4974480*(12*a - 277))*r3 + (1/2210880*(-11*a - 267)*r1 + 
        1/19897920*(-151*a - 4383))))*t + (((1/4233600*(9*a + 25)*r1 + 1/39795840*(123*a - 125))*r3 + 
        (1/198979200*(73*a - 2535)*r1 + 1/13265280*(-39*a - 827)))*r4 + ((1/198979200*(1759*a - 9705)*r1 + 
        1/39795840*(745*a - 3571))*r3 + (1/198979200*(-947*a + 19365)*r1 + 1/39795840*(361*a + 14505)))))*b1 + 
        ((((1/994896*(13*a - 163)*r1 + 1/4974480*(193*a - 2015))*r3 + (1/59220*(4*a - 61)*r1 + 1/497448*(143*a - 
        2451)))*r4 + ((1/177660*(37*a - 435)*r1 + 1/355320*(147*a - 1525))*r3 + (1/236880*(-13*a + 163)*r1 + 
        1/710640*(-67*a + 1245))))*t^2 + (((1/9948960*(-297*a + 3319)*r1 + 1/9948960*(-447*a + 3985))*r3 + 
        (1/473760*(-7*a + 95)*r1 + 1/284256*(-17*a + 177)))*r4 + ((1/1421280*(-75*a + 991)*r1 + 1/473760*(-81*a + 
        965))*r3 + (1/473760*(-19*a + 325)*r1 + 1/473760*(-97*a + 2055))))*t + (((1/2842560*(-11*a + 109)*r1 + 
        1/2842560*(-17*a - 105))*r3 + (1/157920*(-4*a + 61)*r1 + 1/473760*(-51*a + 860)))*r4 + ((1/1421280*(-125*a 
        + 1542)*r1 + 1/284256*(-60*a + 727))*r3 + (1/189504*(13*a - 163)*r1 + 1/2842560*(457*a - 6135))))))*b2^2 + 
        (((((1/24872400*(347*a - 10450)*r1 + 1/4974480*(232*a - 2833))*r3 + (1/9948960*(19*a + 5127)*r1 + 
        1/1989792*(13*a + 2469)))*r4 + ((1/7106400*(589*a - 6315)*r1 + 1/1421280*(155*a - 3057))*r3 + 
        (1/3553200*(-344*a + 405)*r1 + 1/710640*(-223*a - 1734))))*t^2 + (((1/19897920*(-251*a + 3957)*r1 + 
        1/19897920*(-205*a + 9859))*r3 + (1/211680*(5*a - 18)*r1 + 1/3316320*(279*a + 1538)))*r4 + 
        ((1/7106400*(-81*a + 1670)*r1 + 1/1421280*(-61*a + 284))*r3 + (1/4737600*(-127*a - 2775)*r1 + 
        1/2842560*(-143*a - 3471))))*t + (((1/604800*(-a + 95)*r1 + 1/5685120*(-13*a + 1667))*r3 + 
        (1/28425600*(71*a - 1635)*r1 + 1/1895040*(11*a - 391)))*r4 + ((1/28425600*(-1171*a + 11595)*r1 + 
        1/5685120*(-321*a + 6505))*r3 + (1/5685120*(199*a - 1989)*r1 + 1/812160*(107*a + 495)))))*b1 + 
        ((((1/710640*(-81*a + 965)*r1 + 1/710640*(-281*a + 3545))*r3 + (1/165816*(-99*a + 1216)*r1 + 
        1/2487240*(-5626*a + 66315)))*r4 + ((1/355320*(-545*a + 7524)*r1 + 1/71064*(-160*a + 2957))*r3 + 
        (1/236880*(57*a - 1069)*r1 + 1/142128*(-109*a + 405))))*t^2 + (((1/710640*(163*a - 2333)*r1 + 
        1/177660*(37*a - 905))*r3 + (1/118440*(14*a - 143)*r1 + 1/355320*(217*a - 2475)))*r4 + ((1/710640*(253*a - 
        3071)*r1 + 1/236880*(277*a - 3625))*r3 + (1/236880*(123*a - 1535)*r1 + 1/118440*(241*a - 2700))))*t + 
        (((1/710640*(22*a - 265)*r1 + 1/284256*(23*a - 339))*r3 + (1/78960*(16*a - 197)*r1 + 1/473760*(361*a - 
        4295)))*r4 + ((1/1421280*(953*a - 12759)*r1 + 1/142128*(193*a - 3002))*r3 + (1/473760*(-213*a + 3025)*r1 + 
        1/710640*(-397*a + 8040))))))*b2 + ((((1/49744800*(16321*a - 117025)*r1 + 1/1421280*(933*a - 9493))*r3 + 
        (1/9948960*(-1153*a - 94923)*r1 + 1/9948960*(-5963*a - 238593)))*r4 + ((1/7106400*(12761*a - 149685)*r1 + 
        1/1421280*(4783*a - 65691))*r3 + (1/7106400*(-5603*a + 212475)*r1 + 1/1421280*(431*a + 97497))))*t^2 + 
        (((1/3553200*(-1214*a + 12615)*r1 + 1/710640*(-426*a + 5627))*r3 + (1/151200*(29*a - 885)*r1 + 
        1/473760*(-27*a - 7073)))*r4 + ((1/7106400*(-779*a + 20845)*r1 + 1/203040*(-79*a + 1381))*r3 + 
        (1/592200*(28*a + 7845)*r1 + 1/710640*(227*a + 22917))))*t + (((1/302400*(-44*a + 125)*r1 + 
        1/2842560*(-809*a + 3560))*r3 + (1/14212800*(-1171*a + 48960)*r1 + 1/947520*(88*a + 9515)))*r4 + 
        ((1/14212800*(-11107*a + 119550)*r1 + 1/2842560*(-4730*a + 50677))*r3 + (1/14212800*(7208*a - 156405)*r1 + 
        1/2842560*(23*a - 78312)))))*b1 + (((1/177660*(-371*a + 5458)*r1 + 1/355320*(-2859*a + 30005))*r3 + 
        (1/118440*(-977*a + 13501)*r1 + 1/177660*(-5953*a + 87975)))*r4 + ((1/355320*(-7921*a + 96837)*r1 + 
        1/17766*(-781*a + 9760))*r3 + (1/8460*(46*a - 725)*r1 + 1/10152*(191*a - 2901))))*t^2 + (((1/710640*(2185*a
        - 25813)*r1 + 1/710640*(3073*a - 37945))*r3 + (1/118440*(177*a - 2053)*r1 + 1/44415*(199*a - 2130)))*r4 + 
        ((1/710640*(4189*a - 59617)*r1 + 1/236880*(5137*a - 56825))*r3 + (1/59220*(257*a - 3790)*r1 + 
        1/59220*(1411*a - 23010))))*t + ((1/568512*(291*a - 4285)*r1 + 1/406080*(613*a - 3015))*r3 + 
        (1/315840*(1165*a - 16039)*r1 + 1/947520*(13103*a - 192665)))*r4 + (1/2842560*(27911*a - 349209)*r1 + 
        1/2842560*(67823*a - 894605))*r3 + 1/135360*(-1061*a + 14359)*r1 + 1/406080*(-8699*a + 118125),
    (((((1/1421280*(-a + 27)*r1 + 1/9948960*(5*a + 241))*r3*r4 + (1/49744800*(-839*a + 15885)*r1 + 
        1/9948960*(-331*a + 6681)))*t^2 + ((1/33163200*(71*a - 2105)*r1 + 1/19897920*(127*a - 2301))*r4 + 
        (1/99489600*(247*a - 465)*r1 + 1/19897920*(-39*a - 827))*r3)*t + ((1/99489600*(-57*a - 905)*r1 + 
        1/9948960*(4*a + 127))*r3*r4 + (1/12436200*(59*a - 1170)*r1 + 1/19897920*(127*a - 4275))))*b1 + 
        (((1/4974480*(-a + 215)*r1 + 1/994896*(-27*a + 541))*r3*r4 + (1/33840*(-a + 27)*r1 + 1/710640*(-239*a + 
        5325)))*t^2 + ((1/236880*(-2*a + 7)*r1 + 1/710640*(17*a - 600))*r4 + (1/101520*(-3*a + 34)*r1 + 
        1/142128*(-8*a + 75))*r3)*t + ((1/2842560*(-a - 67)*r1 + 1/947520*(17*a - 365))*r3*r4 + (1/947520*(17*a - 
        365)*r1 + 1/568512*(79*a - 1851)))))*b2^2 + ((((1/49744800*(233*a + 5835)*r1 + 1/9948960*(-87*a + 
        2255))*r3*r4 + (1/1421280*(271*a - 1959)*r1 + 1/1421280*(667*a - 1935)))*t^2 + ((1/33163200*(-1273*a + 
        7205)*r1 + 1/19897920*(-1909*a + 4449))*r4 + (1/14212800*(-7*a + 1035)*r1 + 1/2842560*(11*a - 391))*r3)*t +
        ((1/14212800*(-49*a - 1450)*r1 + 1/2842560*(11*a - 344))*r3*r4 + (1/14212800*(-808*a + 7575)*r1 + 
        1/2842560*(-454*a + 555))))*b1 + (((1/710640*(-19*a + 325)*r1 + 1/710640*(67*a - 305))*r3*r4 + 
        (1/236880*(103*a - 1089)*r1 + 1/710640*(2147*a - 20745)))*t^2 + ((1/59220*(4*a - 61)*r1 + 1/710640*(-89*a -
        135))*r4 + (1/710640*(215*a - 2797)*r1 + 1/355320*(254*a - 3615))*r3)*t + ((1/710640*(2*a - 101)*r1 + 
        1/118440*(-17*a + 130))*r3*r4 + (1/236880*(-81*a + 965)*r1 + 1/710640*(-1166*a + 12165)))))*b2 + 
        (((((1/49744800*(4057*a - 99105)*r1 + 1/1421280*(157*a - 2453))*r3 + (1/117600*(-37*a + 465)*r1 + 
        1/7840*(-9*a + 45)))*r4 + ((1/16800*(-3*a + 95)*r1 + 1/3360*(-5*a + 1))*r3 + (1/7106400*(14677*a - 
        171525)*r1 + 1/203040*(833*a - 10929))))*t^2 + (((1/16800*(a - 25)*r1 + 1/3360*(a - 5))*r3 + 
        (1/2368800*(-723*a + 12095)*r1 + 1/1421280*(-1141*a + 14733)))*r4 + ((1/7106400*(-1231*a + 17445)*r1 + 
        1/1421280*(-53*a + 6131))*r3 + (1/2400*(a - 15)*r1 + 1/3360*(5*a - 39))))*t + (((1/14212800*(344*a + 
        8995)*r1 + 1/2842560*(-153*a - 2308))*r3 + (1/33600*(4*a - 45)*r1 + 1/2240*(a - 4)))*r4 + ((1/33600*(2*a - 
        45)*r1 + 1/2240*(a + 2))*r3 + (1/14212800*(-8228*a + 89475)*r1 + 1/2842560*(-2705*a + 41028)))))*b1 + 
        ((((1/177660*(159*a - 3118)*r1 + 1/355320*(2651*a - 32285))*r3 + (1/840*(a - 21)*r1 + 1/210*(2*a - 15)))*r4
        + ((1/120*(a - 13)*r1 + 1/60*(a - 15))*r3 + (1/8460*(32*a - 441)*r1 + 1/50760*(1601*a - 27435))))*t^2 + 
        (((1/840*(-a + 13)*r1 + 1/420*(-a + 15))*r3 + (1/118440*(81*a - 871)*r1 + 1/177660*(-403*a + 9330)))*r4 + 
        ((1/710640*(1607*a - 13967)*r1 + 1/142128*(37*a - 3537))*r3 + (1/560*(-a + 25)*r1 + 1/336*(-5*a + 33))))*t 
        + (((1/406080*(-69*a + 2051)*r1 + 1/947520*(-3069*a + 40375))*r3 + (1/2240*(-a + 23)*r1 + 1/6720*(-23*a + 
        165)))*r4 + ((1/960*(-3*a + 41)*r1 + 1/960*(-7*a + 105))*r3 + (1/135360*(-143*a + 1981)*r1 + 
        1/81216*(-941*a + 16947)))))))*i + ((((1/16581600*(157*a - 855)*r1 + 1/3316320*(69*a - 359))*r4 + 
        (1/16581600*(83*a + 1895)*r1 + 1/9948960*(-43*a + 33))*r3)*t^2 + ((1/99489600*(-53*a - 1765)*r1 + 
        1/19897920*(53*a + 449))*r3*r4 + (1/99489600*(-1229*a + 1035)*r1 + 1/19897920*(-559*a + 429)))*t + 
        ((1/99489600*(-227*a + 2745)*r1 + 1/3316320*(-12*a + 277))*r4 + (1/24872400*(-46*a - 1625)*r1 + 
        1/19897920*(67*a - 587))*r3))*b1 + (((1/184240*(-13*a + 163)*r1 + 1/4974480*(-841*a + 9735))*r4 + 
        (1/710640*(-145*a + 1659)*r1 + 1/710640*(-291*a + 1465))*r3)*t^2 + ((1/4974480*(179*a - 1966)*r1 + 
        1/4974480*(302*a - 775))*r3*r4 + (1/236880*(22*a - 265)*r1 + 1/15792*(3*a - 34)))*t + ((1/947520*(19*a - 
        231)*r1 + 1/947520*(39*a - 395))*r4 + (1/947520*(81*a - 965)*r1 + 1/568512*(111*a - 835))*r3)))*b2^2 + 
        ((((1/5527200*(-309*a + 3925)*r1 + 1/3316320*(-411*a + 4799))*r4 + (1/2368800*(73*a + 2635)*r1 + 
        1/1421280*(-65*a + 1473))*r3)*t^2 + ((1/99489600*(-657*a - 19955)*r1 + 1/19897920*(281*a - 1853))*r3*r4 + 
        (1/14212800*(713*a - 12765)*r1 + 1/2842560*(283*a - 6231)))*t + ((1/14212800*(293*a - 3540)*r1 + 
        1/947520*(61*a - 284))*r4 + (1/2842560*(-60*a - 1247)*r1 + 1/2842560*(4*a - 1189))*r3))*b1 + 
        (((1/552720*(171*a - 2549)*r1 + 1/4974480*(289*a - 29235))*r4 + (1/710640*(643*a - 8901)*r1 + 
        1/710640*(401*a - 15715))*r3)*t^2 + ((1/355320*(-62*a + 875)*r1 + 1/710640*(-43*a + 2665))*r3*r4 + 
        (1/236880*(-129*a + 1885)*r1 + 1/39480*(-13*a + 445)))*t + ((1/473760*(-29*a + 501)*r1 + 1/473760*(79*a - 
        65))*r4 + (1/473760*(-183*a + 2497)*r1 + 1/284256*(-115*a + 3011))*r3)))*b2 + ((((1/117600*(-11*a - 645)*r1
        + 1/23520*(-a - 303))*r3 + (1/3316320*(-2957*a + 42897)*r1 + 1/3316320*(-5871*a + 102211)))*r4 + 
        ((1/2368800*(-571*a + 95)*r1 + 1/1421280*(41*a + 23427))*r3 + (1/5600*(-a - 135)*r1 + 1/3360*(-a - 
        183))))*t^2 + (((1/3553200*(14*a - 895)*r1 + 1/710640*(-108*a - 3241))*r3 + (3/560*r1 + 1/80))*r4 + 
        ((1/8400*(a + 65)*r1 + 1/60)*r3 + (1/1776600*(1802*a - 19185)*r1 + 1/710640*(1367*a - 20835))))*t + 
        (((1/33600*(a + 80)*r1 + 37/6720)*r3 + (1/14212800*(3607*a - 73560)*r1 + 1/947520*(412*a - 13051)))*r4 + 
        ((1/2030400*(73*a + 4750)*r1 + 1/2842560*(-594*a - 4877))*r3 + (1/33600*(a + 240)*r1 + 1/64))))*b1 + 
        (((-1/420*r1 + 1/840*(a - 15))*r3 + (1/39480*(229*a - 2893)*r1 + 1/35532*(499*a - 5859)))*r4 + 
        ((1/355320*(6319*a - 77271)*r1 + 1/17766*(527*a - 3419))*r3 + (1/420*(a - 24)*r1 + 1/280*(3*a - 25))))*t^2 
        + (((1/710640*(-2313*a + 27953)*r1 + 1/710640*(-3273*a + 16085))*r3 + (1/1680*(-a + 21)*r1 + 1/336*(-a + 
        9)))*r4 + (1/118440*(-1079*a + 13435)*r1 + 1/7896*(-145*a + 1753)))*t + ((1/6720*(-a + 27)*r1 + 
        1/2240*(-3*a + 45))*r3 + (1/947520*(-881*a + 10251)*r1 + 1/947520*(-1561*a + 10375)))*r4 + 
        (1/947520*(-6843*a + 85309)*r1 + 1/2842560*(-40537*a + 333475))*r3 + 1/6720*(-5*a + 147)*r1 + 1/2240*(-7*a 
        + 45),
    ((((((1/3553200*(-37*a - 35)*r1 + 1/710640*(-9*a + 55))*r3 + (1/12436200*(46*a - 1665)*r1 + 1/4974480*(31*a - 
        1401)))*r4 + ((1/264600*(2*a + 25)*r1 + 1/4974480*(121*a + 1621))*r3 + (1/2487240*(a + 114)*r1 + 
        1/829080*(-a + 215))))*t^2 + (((1/99489600*(-143*a - 2155)*r1 + 1/2842560*(-9*a - 133))*r3 + 
        (1/49744800*(-19*a + 795)*r1 + 1/4974480*(10*a + 153)))*r4 + ((1/24872400*(313*a + 150)*r1 + 
        1/9948960*(155*a - 1083))*r3 + (1/99489600*(-839*a + 15885)*r1 + 1/19897920*(-331*a + 6681))))*t + 
        (((1/198979200*(829*a - 575)*r1 + 1/39795840*(187*a - 2041))*r3 + (1/5685120*(-11*a + 297)*r1 + 
        1/39795840*(-187*a + 3357)))*r4 + ((1/66326400*(-211*a - 695)*r1 + 1/39795840*(-575*a - 5343))*r3 + 
        (1/66326400*(227*a - 2745)*r1 + 1/13265280*(-27*a - 3407)))))*b1 + ((((1/2487240*(-165*a + 2246)*r1 + 
        1/829080*(-187*a + 2370))*r3 + (1/1658160*(43*a - 691)*r1 + 1/1658160*(211*a - 2595)))*r4 + 
        ((1/710640*(77*a - 1045)*r1 + 1/710640*(269*a - 2845))*r3 + (1/118440*(-44*a + 577)*r1 + 1/355320*(-398*a +
        4965))))*t^2 + (((1/9948960*(-299*a + 3749)*r1 + 1/9948960*(-829*a + 7155))*r3 + (1/473760*(27*a - 353)*r1 
        + 1/473760*(79*a - 1005)))*r4 + ((1/1421280*(85*a - 1167)*r1 + 1/1421280*(293*a - 3775))*r3 + 
        (1/473760*(-29*a + 407)*r1 + 1/1421280*(-301*a + 3615))))*t + (((1/710640*(24*a - 319)*r1 + 1/284256*(31*a 
        - 367))*r3 + (1/473760*(-5*a + 88)*r1 + 1/1421280*(-92*a + 1215)))*r4 + ((1/203040*(-4*a + 61)*r1 + 
        1/1421280*(-137*a + 1490))*r3 + (1/236880*(31*a - 414)*r1 + 1/1421280*(601*a - 7485))))))*b2^2 + 
        (((((1/12436200*(237*a - 9830)*r1 + 1/4974480*(269*a - 6511))*r3 + (1/12436200*(-838*a + 4155)*r1 + 
        1/4974480*(-859*a - 213)))*r4 + ((1/1890*r1 + 1/710640*(43*a + 1283))*r3 + (1/3553200*(143*a - 3015)*r1 + 
        1/8460*(2*a - 7))))*t^2 + (((1/99489600*(-219*a - 15425)*r1 + 1/19897920*(-107*a - 6605))*r3 + 
        (1/49744800*(58*a + 5625)*r1 + 1/9948960*(-113*a + 2910)))*r4 + ((1/1421280*(-37*a + 1422)*r1 + 
        1/284256*(-22*a + 453))*r3 + (1/2842560*(271*a - 1959)*r1 + 1/2842560*(667*a - 1935))))*t + 
        (((1/28425600*(-323*a + 9755)*r1 + 1/5685120*(-207*a + 2863))*r3 + (1/28425600*(769*a - 2715)*r1 + 
        1/812160*(43*a - 33)))*r4 + ((1/9475200*(127*a - 985)*r1 + 1/5685120*(-115*a - 4227))*r3 + 
        (1/9475200*(-293*a + 7065)*r1 + 1/379008*(-65*a + 157)))))*b1 + ((((1/710640*(263*a - 3247)*r1 + 
        1/78960*(91*a - 1235))*r3 + (1/1658160*(267*a - 3449)*r1 + 1/1658160*(803*a - 8145)))*r4 + 
        ((1/710640*(-193*a + 2203)*r1 + 1/710640*(-601*a + 9835))*r3 + (1/236880*(563*a - 7211)*r1 + 
        1/710640*(4441*a - 63225))))*t^2 + (((1/1421280*(147*a - 1901)*r1 + 1/1421280*(229*a - 5055))*r3 + 
        (1/473760*(-169*a + 2213)*r1 + 1/473760*(-397*a + 5925)))*r4 + ((1/1421280*(-445*a + 5529)*r1 + 
        1/1421280*(-1357*a + 18685))*r3 + (1/473760*(-3*a - 107)*r1 + 1/1421280*(-647*a + 2805))))*t + 
        (((1/2842560*(-533*a + 6589)*r1 + 1/2842560*(-1587*a + 22075))*r3 + (1/947520*(-61*a + 895)*r1 + 
        1/2842560*(-173*a + 2415)))*r4 + ((1/2842560*(-69*a + 1675)*r1 + 1/2842560*(453*a - 5275))*r3 + 
        (1/947520*(-757*a + 9441)*r1 + 1/2842560*(-6749*a + 92265))))))*b2 + (((((1/49744800*(38057*a - 59245)*r1 +
        1/1421280*(1693*a - 9145))*r3 + (1/49744800*(-32153*a + 856005)*r1 + 1/9948960*(-14563*a + 336519)))*r4 + 
        ((1/151200*(-101*a - 515)*r1 + 1/1421280*(-2901*a - 20467))*r3 + (1/7106400*(2273*a + 55095)*r1 + 
        1/473760*(53*a - 1525))))*t^2 + (((1/14212800*(1601*a + 6875)*r1 + 1/2842560*(823*a + 2501))*r3 + 
        (1/14212800*(151*a - 46095)*r1 + 1/2842560*(-107*a - 12621)))*r4 + ((1/2842560*(-2641*a + 6729)*r1 + 
        1/406080*(-617*a + 3969))*r3 + (1/14212800*(15523*a - 336495)*r1 + 1/2842560*(6677*a - 139953))))*t + 
        (((1/28425600*(-9069*a + 21895)*r1 + 1/5685120*(-2701*a + 20663))*r3 + (1/28425600*(8309*a - 189375)*r1 + 
        1/5685120*(4205*a - 61647)))*r4 + ((1/270720*(97*a - 175)*r1 + 1/5685120*(6949*a + 27261))*r3 + 
        (1/9475200*(-4453*a - 3285)*r1 + 1/1895040*(-265*a + 22759)))))*b1 + ((((1/355320*(1963*a - 26869)*r1 + 
        1/59220*(1139*a - 13410))*r3 + (1/118440*(97*a - 833)*r1 + 1/2961*(-16*a + 150)))*r4 + ((1/177660*(-1383*a 
        + 18071)*r1 + 1/355320*(-8709*a + 92545))*r3 + (1/8460*(315*a - 4228)*r1 + 1/50760*(6049*a - 77595))))*t^2 
        + (((1/710640*(1693*a - 21365)*r1 + 1/355320*(1997*a - 18105))*r3 + (1/118440*(-676*a + 9181)*r1 + 
        1/236880*(-4351*a + 56565)))*r4 + ((1/355320*(-1592*a + 21411)*r1 + 1/710640*(-10809*a + 130915))*r3 + 
        (1/236880*(493*a - 7013)*r1 + 1/71064*(883*a - 9459))))*t + (((1/2842560*(-7823*a + 107069)*r1 + 
        1/2842560*(-25909*a + 282935))*r3 + (1/189504*(21*a - 755)*r1 + 1/2842560*(12977*a - 158055)))*r4 + 
        ((1/2842560*(3173*a - 43183)*r1 + 1/2842560*(15379*a - 173465))*r3 + (1/135360*(-1643*a + 22365)*r1 + 
        1/406080*(-17407*a + 221265)))))))*i + (((((1/24872400*(-71*a - 1185)*r1 + 1/1243620*(3*a + 13))*r3 + 
        (1/12436200*(2*a + 1215)*r1 + 1/59220*(a + 20)))*r4 + ((1/24872400*(-177*a + 1865)*r1 + 1/1658160*(-43*a + 
        33))*r3 + (1/8290800*(171*a - 575)*r1 + 1/1243620*(13*a - 492))))*t^2 + (((1/710640*(2*a - 7)*r1 + 
        1/9948960*(59*a - 183))*r3 + (1/14212800*(-59*a + 465)*r1 + 1/2842560*(-11*a + 297)))*r4 + 
        ((1/33163200*(83*a + 1895)*r1 + 1/19897920*(-43*a + 33))*r3 + (1/49744800*(113*a - 7845)*r1 + 
        1/4974480*(-64*a - 2361))))*t + (((1/39795840*(27*a + 775)*r1 + 1/39795840*(-27*a + 541))*r3 + 
        (1/28425600*(-43*a - 1095)*r1 + 1/39795840*(-283*a - 3639)))*r4 + ((1/198979200*(-167*a - 10155)*r1 + 
        1/7959168*(43*a - 33))*r3 + (1/66326400*(-649*a + 1355)*r1 + 1/13265280*(-95*a + 2001)))))*b1 + 
        ((((1/4974480*(-297*a + 3977)*r1 + 1/994896*(-193*a + 2673))*r3 + (1/829080*(80*a - 1079)*r1 + 
        1/55272*(18*a - 251)))*r4 + ((1/355320*(35*a - 428)*r1 + 1/355320*(83*a - 1160))*r3 + (1/33840*(-7*a + 
        95)*r1 + 1/710640*(-479*a + 7575))))*t^2 + (((1/9948960*(-143*a + 1793)*r1 + 1/1989792*(-67*a + 1245))*r3 +
        (1/473760*(15*a - 217)*r1 + 1/157920*(19*a - 325)))*r4 + ((1/1421280*(85*a - 1167)*r1 + 1/284256*(59*a - 
        841))*r3 + (1/157920*(-15*a + 217)*r1 + 1/1421280*(-547*a + 8565))))*t + (((1/1421280*(43*a - 550)*r1 + 
        1/1421280*(122*a - 1555))*r3 + (1/236880*(-10*a + 129)*r1 + 1/1421280*(-179*a + 2295)))*r4 + 
        ((1/710640*(-34*a + 401)*r1 + 1/284256*(-29*a + 313))*r3 + (1/473760*(44*a - 577)*r1 + 1/1421280*(401*a - 
        5610))))))*b2^2 + (((((1/994896*(-13*a - 495)*r1 + 1/2487240*(46*a - 1007))*r3 + (1/4974480*(97*a + 201)*r1
        + 1/829080*(76*a + 1097)))*r4 + ((1/888300*(64*a - 365)*r1 + 1/236880*(29*a - 313))*r3 + (1/1184400*(-41*a 
        + 1295)*r1 + 1/355320*(-23*a + 339))))*t^2 + (((1/49744800*(-697*a + 10030)*r1 + 1/9948960*(-284*a + 
        4143))*r3 + (1/99489600*(1847*a - 25335)*r1 + 1/19897920*(851*a - 4647)))*r4 + ((1/4737600*(73*a + 2635)*r1
        + 1/2842560*(-65*a + 1473))*r3 + (1/7106400*(-344*a + 405)*r1 + 1/1421280*(-223*a - 1734))))*t + 
        (((1/28425600*(121*a + 5005)*r1 + 1/5685120*(-43*a + 785))*r3 + (1/28425600*(-173*a - 4635)*r1 + 
        1/5685120*(-113*a - 3999)))*r4 + ((1/28425600*(-823*a - 4005)*r1 + 1/5685120*(-239*a - 597))*r3 + 
        (1/1353600*(11*a - 485)*r1 + 1/1895040*(-19*a - 1179)))))*b1 + ((((1/710640*(373*a - 4619)*r1 + 
        1/710640*(1217*a - 15375))*r3 + (1/1658160*(-1515*a + 18439)*r1 + 1/552720*(-1769*a + 21725)))*r4 + 
        ((1/710640*(-795*a + 10279)*r1 + 1/710640*(-2127*a + 28195))*r3 + (1/236880*(533*a - 6683)*r1 + 
        1/142128*(1039*a - 12825))))*t^2 + (((1/1421280*(291*a - 3815)*r1 + 1/1421280*(779*a - 10035))*r3 + 
        (1/473760*(-167*a + 2065)*r1 + 1/157920*(-199*a + 2365)))*r4 + ((1/1421280*(-727*a + 8913)*r1 + 
        1/1421280*(-2501*a + 31055))*r3 + (1/157920*(167*a - 1971)*r1 + 1/284256*(1223*a - 14127))))*t + 
        (((1/406080*(-105*a + 1331)*r1 + 1/2842560*(-2093*a + 27935))*r3 + (1/947520*(367*a - 4551)*r1 + 
        1/568512*(695*a - 8895)))*r4 + ((1/2842560*(1229*a - 16169)*r1 + 1/2842560*(2743*a - 40315))*r3 + 
        (1/189504*(-169*a + 2119)*r1 + 1/2842560*(-7873*a + 100335))))))*b2 + ((((1/49744800*(5063*a + 53085)*r1 + 
        1/1421280*(-365*a - 4903))*r3 + (1/49744800*(3911*a - 54555)*r1 + 1/3316320*(-3361*a - 28163)))*r4 + 
        ((1/7106400*(2693*a - 48365)*r1 + 1/473760*(505*a - 3953))*r3 + (1/473760*(-911*a + 439)*r1 + 
        1/203040*(-217*a + 3321))))*t^2 + (((1/2842560*(-507*a + 2879)*r1 + 1/2842560*(-929*a + 5061))*r3 + 
        (1/14212800*(6001*a - 26385)*r1 + 1/2842560*(1267*a - 17571)))*r4 + ((1/4737600*(-289*a - 9775)*r1 + 
        1/2842560*(887*a + 7353))*r3 + (1/14212800*(-4757*a + 47505)*r1 + 1/2842560*(1277*a + 34047))))*t + 
        (((1/28425600*(-179*a - 11335)*r1 + 1/812160*(83*a + 391))*r3 + (1/28425600*(2261*a + 5505)*r1 + 
        1/5685120*(3221*a + 7785)))*r4 + ((1/28425600*(2953*a + 88905)*r1 + 1/812160*(11*a + 1395))*r3 + 
        (1/9475200*(8517*a - 1915)*r1 + 1/1895040*(1153*a - 13647)))))*b1 + (((1/355320*(2561*a - 32675)*r1 + 
        1/177660*(4069*a - 57270))*r3 + (1/118440*(-731*a + 9679)*r1 + 1/9870*(-257*a + 3320)))*r4 + 
        ((1/177660*(-1159*a + 13997)*r1 + 1/355320*(-4373*a + 56125))*r3 + (1/8460*(177*a - 2194)*r1 + 
        1/50760*(3191*a - 44985))))*t^2 + (((1/710640*(589*a - 7349)*r1 + 1/71064*(125*a - 1965))*r3 + 
        (1/118440*(-386*a + 4829)*r1 + 1/78960*(-887*a + 13045)))*r4 + ((1/355320*(-2720*a + 35793)*r1 + 
        1/710640*(-18927*a + 261365))*r3 + (1/78960*(443*a - 6227)*r1 + 1/355320*(11441*a - 159165))))*t + 
        ((1/2842560*(-10397*a + 128815)*r1 + 1/2842560*(-28647*a + 401605))*r3 + (1/189504*(601*a - 7767)*r1 + 
        1/2842560*(30173*a - 375315)))*r4 + (1/2842560*(10593*a - 125083)*r1 + 1/2842560*(16863*a - 189845))*r3 + 
        1/135360*(-1401*a + 17335)*r1 + 1/406080*(-11261*a + 150075),
    (((((1/24872400*(151*a + 435)*r1 + 1/2487240*(17*a - 36))*r3*r4 + (1/24872400*(103*a - 8985)*r1 + 
        1/2487240*(-61*a - 3006)))*t^2 + ((1/3553200*(-2*a + 195)*r1 + 1/4974480*(17*a + 951))*r4 + 
        (1/49744800*(-561*a - 1115)*r1 + 1/9948960*(-131*a + 529))*r3)*t + ((1/198979200*(-293*a - 2805)*r1 + 
        1/39795840*(-75*a - 983))*r3*r4 + (1/198979200*(289*a + 29985)*r1 + 1/39795840*(395*a + 16407))))*b1 + 
        (((1/4974480*(395*a - 5307)*r1 + 1/994896*(263*a - 3247))*r3*r4 + (1/236880*(75*a - 991)*r1 + 1/78960*(81*a
        - 965)))*t^2 + ((1/236880*(-17*a + 224)*r1 + 1/710640*(-161*a + 1950))*r4 + (1/710640*(-80*a + 1079)*r1 + 
        1/710640*(-268*a + 3335))*r3)*t + ((1/1421280*(-32*a + 441)*r1 + 1/1421280*(-113*a + 1500))*r3*r4 + 
        (1/473760*(-57*a + 740)*r1 + 1/1421280*(-526*a + 6165)))))*b2^2 + ((((1/24872400*(-127*a + 9210)*r1 + 
        1/4974480*(-37*a + 3678))*r3*r4 + (1/3553200*(-487*a + 3420)*r1 + 1/710640*(-391*a - 1146)))*t^2 + 
        ((1/49744800*(1117*a - 9855)*r1 + 1/4974480*(475*a + 852))*r4 + (1/888300*(13*a - 680)*r1 + 1/203040*(7*a -
        283))*r3)*t + ((1/5685120*(-23*a - 225)*r1 + 1/5685120*(-109*a - 1099))*r3*r4 + (1/5685120*(271*a + 297)*r1
        + 1/5685120*(925*a + 5763))))*b1 + (((1/177660*(-86*a + 1053)*r1 + 1/35532*(-55*a + 733))*r3*r4 + 
        (1/118440*(-253*a + 3071)*r1 + 1/39480*(-277*a + 3625)))*t^2 + ((1/94752*(45*a - 557)*r1 + 
        1/1421280*(2059*a - 27675))*r4 + (1/1421280*(951*a - 11671)*r1 + 1/1421280*(3019*a - 40435))*r3)*t + 
        ((1/1421280*(209*a - 2541)*r1 + 1/355320*(179*a - 2295))*r3*r4 + (1/473760*(409*a - 5027)*r1 + 
        1/710640*(1916*a - 25365)))))*b2 + (((((1/12436200*(-5434*a - 14445)*r1 + 1/355320*(-190*a - 87))*r3 + 
        (1/9800*(-2*a + 45)*r1 + 1/5880*(-4*a + 69)))*r4 + ((1/2100*(-a + 20)*r1 + 1/840*(-a + 17))*r3 + 
        (1/1776600*(-1969*a + 39345)*r1 + 1/177660*(34*a + 12759))))*t^2 + (((1/33600*(3*a - 55)*r1 + 1/6720*(a - 
        29))*r3 + (1/2842560*(515*a - 7419)*r1 + 1/2842560*(-55*a - 29817)))*r4 + ((1/14212800*(11647*a + 8045)*r1 
        + 1/406080*(459*a - 1207))*r3 + (1/6720*(a - 33)*r1 + 1/2240*(a - 33))))*t + (((1/14212800*(1289*a + 
        14970)*r1 + 1/2842560*(256*a + 6107))*r3 + (1/11200*(a - 20)*r1 + 1/6720*(2*a - 27)))*r4 + ((1/6720*(a - 
        26)*r1 + 1/6720*(4*a - 41))*r3 + (1/14212800*(2333*a - 134760)*r1 + 1/2842560*(-590*a - 70221)))))*b1 + 
        ((((1/71064*(-541*a + 7557)*r1 + 1/355320*(-9693*a + 110465))*r3 + (1/840*(-a + 33)*r1 + 1/280*(-3*a + 
        15)))*r4 + (1/8460*(-269*a + 3503)*r1 + 1/2820*(-283*a + 3505)))*t^2 + (((1/1680*(-a + 13)*r1 + 1/840*(-a +
        15))*r3 + (1/118440*(853*a - 11234)*r1 + 1/710640*(16237*a - 203775)))*r4 + ((1/710640*(7373*a - 102439)*r1
        + 1/71064*(2622*a - 30139))*r3 + (1/840*(a - 39)*r1 + 1/1680*(19*a - 75))))*t + (((1/2842560*(6923*a - 
        97809)*r1 + 1/2842560*(26531*a - 319845))*r3 + (1/2240*(a - 27)*r1 + 1/2240*(9*a - 55)))*r4 + ((1/960*(a - 
        11)*r1 + 1/960*(a - 15))*r3 + (1/135360*(1769*a - 22571)*r1 + 1/406080*(15067*a - 186285)))))))*i + 
        ((((1/4974480*(-25*a + 111)*r1 + 1/2487240*(-62*a - 159))*r4 + (1/24872400*(-449*a - 2165)*r1 + 
        1/2487240*(-13*a + 492))*r3)*t^2 + ((1/49744800*(103*a + 885)*r1 + 1/9948960*(-11*a - 267))*r3*r4 + 
        (1/24872400*(127*a + 660)*r1 + 1/2487240*(83*a + 579)))*t + ((1/66326400*(69*a - 1675)*r1 + 
        1/13265280*(127*a + 331))*r4 + (1/13265280*(85*a + 149)*r1 + 1/39795840*(61*a - 3903))*r3))*b1 + 
        (((1/552720*(-55*a + 639)*r1 + 1/4974480*(-1031*a + 7815))*r4 + (1/710640*(-67*a + 775)*r1 + 
        1/710640*(-163*a + 735))*r3)*t^2 + ((1/1658160*(34*a - 401)*r1 + 1/4974480*(246*a - 1895))*r3*r4 + 
        (1/236880*(35*a - 428)*r1 + 1/710640*(263*a - 2730)))*t + ((1/94752*(3*a - 34)*r1 + 1/473760*(28*a - 
        145))*r4 + (1/1421280*(34*a - 401)*r1 + 1/1421280*(101*a - 330))*r3)))*b2^2 + ((((1/24872400*(953*a - 
        5850)*r1 + 1/4974480*(193*a - 7608))*r4 + (1/3553200*(-71*a - 5650)*r1 + 1/710640*(23*a - 1326))*r3)*t^2 + 
        ((1/24872400*(199*a + 4920)*r1 + 1/9948960*(41*a + 1713))*r3*r4 + (1/7106400*(-203*a + 1815)*r1 + 
        1/710640*(5*a + 1557)))*t + ((1/9475200*(-193*a - 335)*r1 + 1/1895040*(-31*a + 743))*r4 + (1/9475200*(-9*a 
        + 5225)*r1 + 1/5685120*(-157*a + 2829))*r3))*b1 + (((1/276360*(173*a - 2321)*r1 + 1/2487240*(2479*a - 
        46065))*r4 + (1/177660*(87*a - 1033)*r1 + 1/177660*(232*a - 3585))*r3)*t^2 + ((1/473760*(-71*a + 883)*r1 + 
        1/1421280*(-569*a + 8125))*r3*r4 + (1/473760*(-513*a + 6613)*r1 + 1/1421280*(-3691*a + 54255)))*t + 
        ((1/473760*(-73*a + 1031)*r1 + 1/236880*(-18*a + 815))*r4 + (1/1421280*(-131*a + 1187)*r1 + 1/71064*(-31*a 
        + 414))*r3)))*b2 + ((((1/58800*(-3*a - 265)*r1 + 1/11760*(a - 89))*r3 + (1/24872400*(10783*a - 84435)*r1 + 
        1/4974480*(10655*a + 7569)))*r4 + ((1/3553200*(4833*a + 22165)*r1 + 1/710640*(979*a + 75))*r3 + (1/2800*(a 
        - 75)*r1 + 1/1680*(a - 111))))*t^2 + (((1/14212800*(-2377*a - 19575)*r1 + 1/2842560*(-343*a - 1737))*r3 + 
        (1/11200*(-a + 45)*r1 + 1/6720*(-a + 69)))*r4 + ((1/33600*(a + 135)*r1 + 1/6720*(-a + 33))*r3 + 
        (1/14212800*(-5603*a + 40455)*r1 + 1/2842560*(-7529*a - 16395))))*t + (((1/33600*(a + 50)*r1 + 19/6720)*r3 
        + (1/4737600*(-557*a + 7660)*r1 + 1/947520*(-718*a - 1435)))*r4 + ((1/4737600*(-2281*a - 8020)*r1 + 
        1/406080*(-166*a - 171))*r3 + (1/33600*(-a + 390)*r1 + 9/320))))*b1 + (((-1/210*r1 + 1/420*(a - 15))*r3 + 
        (1/9870*(72*a - 863)*r1 + 1/177660*(2437*a - 20115)))*r4 + ((1/355320*(2831*a - 32539)*r1 + 
        1/355320*(4369*a - 30825))*r3 + (1/280*(-a + 17)*r1 + 1/840*(-17*a + 165))))*t^2 + (((1/59220*(-95*a + 
        1108)*r1 + 1/710640*(-1873*a + 16825))*r3 + (1/1680*(a - 15)*r1 + 1/280*(a - 10)))*r4 + ((1/120*r1 + 
        1/240*(-a + 15))*r3 + (1/236880*(-2459*a + 30391)*r1 + 1/35532*(-950*a + 9999))))*t + ((1/6720*(-a + 27)*r1
        + 1/2240*(-3*a + 45))*r3 + (1/947520*(-1913*a + 21947)*r1 + 1/947520*(-2609*a + 8215)))*r4 + 
        (1/2842560*(-5367*a + 61061)*r1 + 1/2842560*(-9359*a + 45705))*r3 + 1/2240*(3*a - 49)*r1 + 1/6720*(49*a - 
        495),
    ((((1/103635*(-34*a + 401)*r1 + 1/11515*(-8*a + 75))*r4 + (1/44415*(-20*a + 258)*r1 + 1/44415*(-58*a + 
        720))*r3)*t^2 + ((1/2487240*(179*a - 2295)*r1 + 1/497448*(101*a - 1317))*r3*r4 + (1/118440*(43*a - 503)*r1 
        + 1/23688*(17*a - 177)))*t + ((1/236880*(31*a - 367)*r1 + 1/710640*(203*a - 1815))*r4 + (1/710640*(127*a - 
        1643)*r1 + 1/710640*(373*a - 4525))*r3))*b2^2 + (((1/414540*(947*a - 12785)*r1 + 1/138180*(533*a - 
        9315))*r4 + (1/177660*(593*a - 7551)*r1 + 1/177660*(1621*a - 22335))*r3)*t^2 + ((1/177660*(-109*a + 
        1392)*r1 + 1/177660*(-302*a + 4065))*r3*r4 + (1/59220*(-172*a + 2341)*r1 + 1/59220*(-293*a + 4950)))*t + 
        ((1/236880*(-201*a + 2701)*r1 + 1/710640*(-1013*a + 18045))*r4 + (1/101520*(-125*a + 1589)*r1 + 
        1/101520*(-339*a + 4735))*r3))*b2 + (((1/14805*(474*a - 5842)*r1 + 1/1645*(106*a - 1170))*r4 + 
        (1/44415*(1996*a - 25692)*r1 + 1/44415*(5732*a - 72420))*r3)*t^2 + ((1/88830*(-637*a + 8175)*r1 + 
        1/17766*(-361*a + 4671))*r3*r4 + (1/29610*(-1047*a + 12853)*r1 + 1/5922*(-403*a + 4677)))*t + 
        ((1/59220*(-757*a + 9206)*r1 + 1/355320*(-8903*a + 94305))*r4 + (1/88830*(-1515*a + 18956)*r1 + 
        1/355320*(-17339*a + 218395))*r3)))*i + (((1/414540*(107*a - 1291)*r1 + 1/414540*(269*a - 1905))*r4 + 
        (1/177660*(61*a - 801)*r1 + 1/177660*(191*a - 2055))*r3)*t^2 + ((1/1243620*(-101*a + 1317)*r1 + 
        1/1243620*(-307*a + 3495))*r3*r4 + (1/59220*(-25*a + 299)*r1 + 1/59220*(-59*a + 465)))*t + 
        ((1/236880*(-19*a + 231)*r1 + 1/710640*(-151*a + 975))*r4 + (1/710640*(-75*a + 991)*r1 + 1/710640*(-241*a +
        2465))*r3))*b2^2 + (((1/414540*(-433*a + 5581)*r1 + 1/82908*(-139*a + 2907))*r4 + (1/177660*(-253*a + 
        3165)*r1 + 1/35532*(-127*a + 2019))*r3)*t^2 + ((1/355320*(157*a - 1983)*r1 + 1/355320*(413*a - 6075))*r3*r4
        + (1/118440*(259*a - 3421)*r1 + 1/118440*(427*a - 8145)))*t + ((1/118440*(29*a - 360)*r1 + 1/355320*(134*a 
        - 3195))*r4 + (1/50760*(16*a - 197)*r1 + 1/50760*(37*a - 670))*r3))*b2 + ((1/14805*(-375*a + 4673)*r1 + 
        1/14805*(-847*a + 8205))*r4 + (1/44415*(-1529*a + 19851)*r1 + 1/44415*(-4561*a + 53775))*r3)*t^2 + 
        ((1/44415*(361*a - 4671)*r1 + 1/44415*(1061*a - 12855))*r3*r4 + (1/14805*(612*a - 7594)*r1 + 
        1/14805*(1324*a - 13470)))*t + (1/59220*(467*a - 5982)*r1 + 1/71064*(1397*a - 13467))*r4 + (1/88830*(1012*a
        - 13741)*r1 + 1/355320*(12369*a - 141545))*r3,
    (((((1/24872400*(-151*a - 435)*r1 + 1/2487240*(-17*a + 36))*r3*r4 + (1/24872400*(-103*a + 8985)*r1 + 
        1/2487240*(61*a + 3006)))*t^2 + ((1/3553200*(2*a - 195)*r1 + 1/4974480*(-17*a - 951))*r4 + 
        (1/49744800*(561*a + 1115)*r1 + 1/9948960*(131*a - 529))*r3)*t + ((1/198979200*(293*a + 2805)*r1 + 
        1/39795840*(75*a + 983))*r3*r4 + (1/198979200*(-289*a - 29985)*r1 + 1/39795840*(-395*a - 16407))))*b1 + 
        (((1/4974480*(395*a - 5307)*r1 + 1/994896*(263*a - 3247))*r3*r4 + (1/236880*(75*a - 991)*r1 + 1/78960*(81*a
        - 965)))*t^2 + ((1/236880*(-17*a + 224)*r1 + 1/710640*(-161*a + 1950))*r4 + (1/710640*(-80*a + 1079)*r1 + 
        1/710640*(-268*a + 3335))*r3)*t + ((1/1421280*(-32*a + 441)*r1 + 1/1421280*(-113*a + 1500))*r3*r4 + 
        (1/473760*(-57*a + 740)*r1 + 1/1421280*(-526*a + 6165)))))*b2^2 + ((((1/24872400*(127*a - 9210)*r1 + 
        1/4974480*(37*a - 3678))*r3*r4 + (1/3553200*(487*a - 3420)*r1 + 1/710640*(391*a + 1146)))*t^2 + 
        ((1/49744800*(-1117*a + 9855)*r1 + 1/4974480*(-475*a - 852))*r4 + (1/888300*(-13*a + 680)*r1 + 
        1/203040*(-7*a + 283))*r3)*t + ((1/5685120*(23*a + 225)*r1 + 1/5685120*(109*a + 1099))*r3*r4 + 
        (1/5685120*(-271*a - 297)*r1 + 1/5685120*(-925*a - 5763))))*b1 + (((1/177660*(-86*a + 1053)*r1 + 
        1/35532*(-55*a + 733))*r3*r4 + (1/118440*(-253*a + 3071)*r1 + 1/39480*(-277*a + 3625)))*t^2 + 
        ((1/94752*(45*a - 557)*r1 + 1/1421280*(2059*a - 27675))*r4 + (1/1421280*(951*a - 11671)*r1 + 
        1/1421280*(3019*a - 40435))*r3)*t + ((1/1421280*(209*a - 2541)*r1 + 1/355320*(179*a - 2295))*r3*r4 + 
        (1/473760*(409*a - 5027)*r1 + 1/710640*(1916*a - 25365)))))*b2 + (((((1/12436200*(5434*a + 14445)*r1 + 
        1/355320*(190*a + 87))*r3 + (1/9800*(2*a - 45)*r1 + 1/5880*(4*a - 69)))*r4 + ((1/2100*(a - 20)*r1 + 
        1/840*(a - 17))*r3 + (1/1776600*(1969*a - 39345)*r1 + 1/177660*(-34*a - 12759))))*t^2 + (((1/33600*(-3*a + 
        55)*r1 + 1/6720*(-a + 29))*r3 + (1/2842560*(-515*a + 7419)*r1 + 1/2842560*(55*a + 29817)))*r4 + 
        ((1/14212800*(-11647*a - 8045)*r1 + 1/406080*(-459*a + 1207))*r3 + (1/6720*(-a + 33)*r1 + 1/2240*(-a + 
        33))))*t + (((1/14212800*(-1289*a - 14970)*r1 + 1/2842560*(-256*a - 6107))*r3 + (1/11200*(-a + 20)*r1 + 
        1/6720*(-2*a + 27)))*r4 + ((1/6720*(-a + 26)*r1 + 1/6720*(-4*a + 41))*r3 + (1/14212800*(-2333*a + 
        134760)*r1 + 1/2842560*(590*a + 70221)))))*b1 + ((((1/71064*(-541*a + 7557)*r1 + 1/355320*(-9693*a + 
        110465))*r3 + (1/840*(-a + 33)*r1 + 1/280*(-3*a + 15)))*r4 + (1/8460*(-269*a + 3503)*r1 + 1/2820*(-283*a + 
        3505)))*t^2 + (((1/1680*(-a + 13)*r1 + 1/840*(-a + 15))*r3 + (1/118440*(853*a - 11234)*r1 + 
        1/710640*(16237*a - 203775)))*r4 + ((1/710640*(7373*a - 102439)*r1 + 1/71064*(2622*a - 30139))*r3 + 
        (1/840*(a - 39)*r1 + 1/1680*(19*a - 75))))*t + (((1/2842560*(6923*a - 97809)*r1 + 1/2842560*(26531*a - 
        319845))*r3 + (1/2240*(a - 27)*r1 + 1/2240*(9*a - 55)))*r4 + ((1/960*(a - 11)*r1 + 1/960*(a - 15))*r3 + 
        (1/135360*(1769*a - 22571)*r1 + 1/406080*(15067*a - 186285)))))))*i + ((((1/4974480*(25*a - 111)*r1 + 
        1/2487240*(62*a + 159))*r4 + (1/24872400*(449*a + 2165)*r1 + 1/2487240*(13*a - 492))*r3)*t^2 + 
        ((1/49744800*(-103*a - 885)*r1 + 1/9948960*(11*a + 267))*r3*r4 + (1/24872400*(-127*a - 660)*r1 + 
        1/2487240*(-83*a - 579)))*t + ((1/66326400*(-69*a + 1675)*r1 + 1/13265280*(-127*a - 331))*r4 + 
        (1/13265280*(-85*a - 149)*r1 + 1/39795840*(-61*a + 3903))*r3))*b1 + (((1/552720*(-55*a + 639)*r1 + 
        1/4974480*(-1031*a + 7815))*r4 + (1/710640*(-67*a + 775)*r1 + 1/710640*(-163*a + 735))*r3)*t^2 + 
        ((1/1658160*(34*a - 401)*r1 + 1/4974480*(246*a - 1895))*r3*r4 + (1/236880*(35*a - 428)*r1 + 1/710640*(263*a
        - 2730)))*t + ((1/94752*(3*a - 34)*r1 + 1/473760*(28*a - 145))*r4 + (1/1421280*(34*a - 401)*r1 + 
        1/1421280*(101*a - 330))*r3)))*b2^2 + ((((1/24872400*(-953*a + 5850)*r1 + 1/4974480*(-193*a + 7608))*r4 + 
        (1/3553200*(71*a + 5650)*r1 + 1/710640*(-23*a + 1326))*r3)*t^2 + ((1/24872400*(-199*a - 4920)*r1 + 
        1/9948960*(-41*a - 1713))*r3*r4 + (1/7106400*(203*a - 1815)*r1 + 1/710640*(-5*a - 1557)))*t + 
        ((1/9475200*(193*a + 335)*r1 + 1/1895040*(31*a - 743))*r4 + (1/9475200*(9*a - 5225)*r1 + 1/5685120*(157*a -
        2829))*r3))*b1 + (((1/276360*(173*a - 2321)*r1 + 1/2487240*(2479*a - 46065))*r4 + (1/177660*(87*a - 
        1033)*r1 + 1/177660*(232*a - 3585))*r3)*t^2 + ((1/473760*(-71*a + 883)*r1 + 1/1421280*(-569*a + 
        8125))*r3*r4 + (1/473760*(-513*a + 6613)*r1 + 1/1421280*(-3691*a + 54255)))*t + ((1/473760*(-73*a + 
        1031)*r1 + 1/236880*(-18*a + 815))*r4 + (1/1421280*(-131*a + 1187)*r1 + 1/71064*(-31*a + 414))*r3)))*b2 + 
        ((((1/58800*(3*a + 265)*r1 + 1/11760*(-a + 89))*r3 + (1/24872400*(-10783*a + 84435)*r1 + 
        1/4974480*(-10655*a - 7569)))*r4 + ((1/3553200*(-4833*a - 22165)*r1 + 1/710640*(-979*a - 75))*r3 + 
        (1/2800*(-a + 75)*r1 + 1/1680*(-a + 111))))*t^2 + (((1/14212800*(2377*a + 19575)*r1 + 1/2842560*(343*a + 
        1737))*r3 + (1/11200*(a - 45)*r1 + 1/6720*(a - 69)))*r4 + ((1/33600*(-a - 135)*r1 + 1/6720*(a - 33))*r3 + 
        (1/14212800*(5603*a - 40455)*r1 + 1/2842560*(7529*a + 16395))))*t + (((1/33600*(-a - 50)*r1 - 19/6720)*r3 +
        (1/4737600*(557*a - 7660)*r1 + 1/947520*(718*a + 1435)))*r4 + ((1/4737600*(2281*a + 8020)*r1 + 
        1/406080*(166*a + 171))*r3 + (1/33600*(a - 390)*r1 - 9/320))))*b1 + (((-1/210*r1 + 1/420*(a - 15))*r3 + 
        (1/9870*(72*a - 863)*r1 + 1/177660*(2437*a - 20115)))*r4 + ((1/355320*(2831*a - 32539)*r1 + 
        1/355320*(4369*a - 30825))*r3 + (1/280*(-a + 17)*r1 + 1/840*(-17*a + 165))))*t^2 + (((1/59220*(-95*a + 
        1108)*r1 + 1/710640*(-1873*a + 16825))*r3 + (1/1680*(a - 15)*r1 + 1/280*(a - 10)))*r4 + ((1/120*r1 + 
        1/240*(-a + 15))*r3 + (1/236880*(-2459*a + 30391)*r1 + 1/35532*(-950*a + 9999))))*t + ((1/6720*(-a + 27)*r1
        + 1/2240*(-3*a + 45))*r3 + (1/947520*(-1913*a + 21947)*r1 + 1/947520*(-2609*a + 8215)))*r4 + 
        (1/2842560*(-5367*a + 61061)*r1 + 1/2842560*(-9359*a + 45705))*r3 + 1/2240*(3*a - 49)*r1 + 1/6720*(49*a - 
        495),
    ((((((1/3553200*(37*a + 35)*r1 + 1/710640*(9*a - 55))*r3 + (1/12436200*(-46*a + 1665)*r1 + 1/4974480*(-31*a + 
        1401)))*r4 + ((1/264600*(-2*a - 25)*r1 + 1/4974480*(-121*a - 1621))*r3 + (1/2487240*(-a - 114)*r1 + 
        1/829080*(a - 215))))*t^2 + (((1/99489600*(143*a + 2155)*r1 + 1/2842560*(9*a + 133))*r3 + (1/49744800*(19*a
        - 795)*r1 + 1/4974480*(-10*a - 153)))*r4 + ((1/24872400*(-313*a - 150)*r1 + 1/9948960*(-155*a + 1083))*r3 +
        (1/99489600*(839*a - 15885)*r1 + 1/19897920*(331*a - 6681))))*t + (((1/198979200*(-829*a + 575)*r1 + 
        1/39795840*(-187*a + 2041))*r3 + (1/5685120*(11*a - 297)*r1 + 1/39795840*(187*a - 3357)))*r4 + 
        ((1/66326400*(211*a + 695)*r1 + 1/39795840*(575*a + 5343))*r3 + (1/66326400*(-227*a + 2745)*r1 + 
        1/13265280*(27*a + 3407)))))*b1 + ((((1/2487240*(-165*a + 2246)*r1 + 1/829080*(-187*a + 2370))*r3 + 
        (1/1658160*(43*a - 691)*r1 + 1/1658160*(211*a - 2595)))*r4 + ((1/710640*(77*a - 1045)*r1 + 1/710640*(269*a 
        - 2845))*r3 + (1/118440*(-44*a + 577)*r1 + 1/355320*(-398*a + 4965))))*t^2 + (((1/9948960*(-299*a + 
        3749)*r1 + 1/9948960*(-829*a + 7155))*r3 + (1/473760*(27*a - 353)*r1 + 1/473760*(79*a - 1005)))*r4 + 
        ((1/1421280*(85*a - 1167)*r1 + 1/1421280*(293*a - 3775))*r3 + (1/473760*(-29*a + 407)*r1 + 
        1/1421280*(-301*a + 3615))))*t + (((1/710640*(24*a - 319)*r1 + 1/284256*(31*a - 367))*r3 + (1/473760*(-5*a 
        + 88)*r1 + 1/1421280*(-92*a + 1215)))*r4 + ((1/203040*(-4*a + 61)*r1 + 1/1421280*(-137*a + 1490))*r3 + 
        (1/236880*(31*a - 414)*r1 + 1/1421280*(601*a - 7485))))))*b2^2 + (((((1/12436200*(-237*a + 9830)*r1 + 
        1/4974480*(-269*a + 6511))*r3 + (1/12436200*(838*a - 4155)*r1 + 1/4974480*(859*a + 213)))*r4 + ((-1/1890*r1
        + 1/710640*(-43*a - 1283))*r3 + (1/3553200*(-143*a + 3015)*r1 + 1/8460*(-2*a + 7))))*t^2 + 
        (((1/99489600*(219*a + 15425)*r1 + 1/19897920*(107*a + 6605))*r3 + (1/49744800*(-58*a - 5625)*r1 + 
        1/9948960*(113*a - 2910)))*r4 + ((1/1421280*(37*a - 1422)*r1 + 1/284256*(22*a - 453))*r3 + 
        (1/2842560*(-271*a + 1959)*r1 + 1/2842560*(-667*a + 1935))))*t + (((1/28425600*(323*a - 9755)*r1 + 
        1/5685120*(207*a - 2863))*r3 + (1/28425600*(-769*a + 2715)*r1 + 1/812160*(-43*a + 33)))*r4 + 
        ((1/9475200*(-127*a + 985)*r1 + 1/5685120*(115*a + 4227))*r3 + (1/9475200*(293*a - 7065)*r1 + 
        1/379008*(65*a - 157)))))*b1 + ((((1/710640*(263*a - 3247)*r1 + 1/78960*(91*a - 1235))*r3 + 
        (1/1658160*(267*a - 3449)*r1 + 1/1658160*(803*a - 8145)))*r4 + ((1/710640*(-193*a + 2203)*r1 + 
        1/710640*(-601*a + 9835))*r3 + (1/236880*(563*a - 7211)*r1 + 1/710640*(4441*a - 63225))))*t^2 + 
        (((1/1421280*(147*a - 1901)*r1 + 1/1421280*(229*a - 5055))*r3 + (1/473760*(-169*a + 2213)*r1 + 
        1/473760*(-397*a + 5925)))*r4 + ((1/1421280*(-445*a + 5529)*r1 + 1/1421280*(-1357*a + 18685))*r3 + 
        (1/473760*(-3*a - 107)*r1 + 1/1421280*(-647*a + 2805))))*t + (((1/2842560*(-533*a + 6589)*r1 + 
        1/2842560*(-1587*a + 22075))*r3 + (1/947520*(-61*a + 895)*r1 + 1/2842560*(-173*a + 2415)))*r4 + 
        ((1/2842560*(-69*a + 1675)*r1 + 1/2842560*(453*a - 5275))*r3 + (1/947520*(-757*a + 9441)*r1 + 
        1/2842560*(-6749*a + 92265))))))*b2 + (((((1/49744800*(-38057*a + 59245)*r1 + 1/1421280*(-1693*a + 
        9145))*r3 + (1/49744800*(32153*a - 856005)*r1 + 1/9948960*(14563*a - 336519)))*r4 + ((1/151200*(101*a + 
        515)*r1 + 1/1421280*(2901*a + 20467))*r3 + (1/7106400*(-2273*a - 55095)*r1 + 1/473760*(-53*a + 1525))))*t^2
        + (((1/14212800*(-1601*a - 6875)*r1 + 1/2842560*(-823*a - 2501))*r3 + (1/14212800*(-151*a + 46095)*r1 + 
        1/2842560*(107*a + 12621)))*r4 + ((1/2842560*(2641*a - 6729)*r1 + 1/406080*(617*a - 3969))*r3 + 
        (1/14212800*(-15523*a + 336495)*r1 + 1/2842560*(-6677*a + 139953))))*t + (((1/28425600*(9069*a - 21895)*r1 
        + 1/5685120*(2701*a - 20663))*r3 + (1/28425600*(-8309*a + 189375)*r1 + 1/5685120*(-4205*a + 61647)))*r4 + 
        ((1/270720*(-97*a + 175)*r1 + 1/5685120*(-6949*a - 27261))*r3 + (1/9475200*(4453*a + 3285)*r1 + 
        1/1895040*(265*a - 22759)))))*b1 + ((((1/355320*(1963*a - 26869)*r1 + 1/59220*(1139*a - 13410))*r3 + 
        (1/118440*(97*a - 833)*r1 + 1/2961*(-16*a + 150)))*r4 + ((1/177660*(-1383*a + 18071)*r1 + 1/355320*(-8709*a
        + 92545))*r3 + (1/8460*(315*a - 4228)*r1 + 1/50760*(6049*a - 77595))))*t^2 + (((1/710640*(1693*a - 
        21365)*r1 + 1/355320*(1997*a - 18105))*r3 + (1/118440*(-676*a + 9181)*r1 + 1/236880*(-4351*a + 56565)))*r4 
        + ((1/355320*(-1592*a + 21411)*r1 + 1/710640*(-10809*a + 130915))*r3 + (1/236880*(493*a - 7013)*r1 + 
        1/71064*(883*a - 9459))))*t + (((1/2842560*(-7823*a + 107069)*r1 + 1/2842560*(-25909*a + 282935))*r3 + 
        (1/189504*(21*a - 755)*r1 + 1/2842560*(12977*a - 158055)))*r4 + ((1/2842560*(3173*a - 43183)*r1 + 
        1/2842560*(15379*a - 173465))*r3 + (1/135360*(-1643*a + 22365)*r1 + 1/406080*(-17407*a + 221265)))))))*i + 
        (((((1/24872400*(71*a + 1185)*r1 + 1/1243620*(-3*a - 13))*r3 + (1/12436200*(-2*a - 1215)*r1 + 1/59220*(-a -
        20)))*r4 + ((1/24872400*(177*a - 1865)*r1 + 1/1658160*(43*a - 33))*r3 + (1/8290800*(-171*a + 575)*r1 + 
        1/1243620*(-13*a + 492))))*t^2 + (((1/710640*(-2*a + 7)*r1 + 1/9948960*(-59*a + 183))*r3 + 
        (1/14212800*(59*a - 465)*r1 + 1/2842560*(11*a - 297)))*r4 + ((1/33163200*(-83*a - 1895)*r1 + 
        1/19897920*(43*a - 33))*r3 + (1/49744800*(-113*a + 7845)*r1 + 1/4974480*(64*a + 2361))))*t + 
        (((1/39795840*(-27*a - 775)*r1 + 1/39795840*(27*a - 541))*r3 + (1/28425600*(43*a + 1095)*r1 + 
        1/39795840*(283*a + 3639)))*r4 + ((1/198979200*(167*a + 10155)*r1 + 1/7959168*(-43*a + 33))*r3 + 
        (1/66326400*(649*a - 1355)*r1 + 1/13265280*(95*a - 2001)))))*b1 + ((((1/4974480*(-297*a + 3977)*r1 + 
        1/994896*(-193*a + 2673))*r3 + (1/829080*(80*a - 1079)*r1 + 1/55272*(18*a - 251)))*r4 + ((1/355320*(35*a - 
        428)*r1 + 1/355320*(83*a - 1160))*r3 + (1/33840*(-7*a + 95)*r1 + 1/710640*(-479*a + 7575))))*t^2 + 
        (((1/9948960*(-143*a + 1793)*r1 + 1/1989792*(-67*a + 1245))*r3 + (1/473760*(15*a - 217)*r1 + 1/157920*(19*a
        - 325)))*r4 + ((1/1421280*(85*a - 1167)*r1 + 1/284256*(59*a - 841))*r3 + (1/157920*(-15*a + 217)*r1 + 
        1/1421280*(-547*a + 8565))))*t + (((1/1421280*(43*a - 550)*r1 + 1/1421280*(122*a - 1555))*r3 + 
        (1/236880*(-10*a + 129)*r1 + 1/1421280*(-179*a + 2295)))*r4 + ((1/710640*(-34*a + 401)*r1 + 1/284256*(-29*a
        + 313))*r3 + (1/473760*(44*a - 577)*r1 + 1/1421280*(401*a - 5610))))))*b2^2 + (((((1/994896*(13*a + 495)*r1
        + 1/2487240*(-46*a + 1007))*r3 + (1/4974480*(-97*a - 201)*r1 + 1/829080*(-76*a - 1097)))*r4 + 
        ((1/888300*(-64*a + 365)*r1 + 1/236880*(-29*a + 313))*r3 + (1/1184400*(41*a - 1295)*r1 + 1/355320*(23*a - 
        339))))*t^2 + (((1/49744800*(697*a - 10030)*r1 + 1/9948960*(284*a - 4143))*r3 + (1/99489600*(-1847*a + 
        25335)*r1 + 1/19897920*(-851*a + 4647)))*r4 + ((1/4737600*(-73*a - 2635)*r1 + 1/2842560*(65*a - 1473))*r3 +
        (1/7106400*(344*a - 405)*r1 + 1/1421280*(223*a + 1734))))*t + (((1/28425600*(-121*a - 5005)*r1 + 
        1/5685120*(43*a - 785))*r3 + (1/28425600*(173*a + 4635)*r1 + 1/5685120*(113*a + 3999)))*r4 + 
        ((1/28425600*(823*a + 4005)*r1 + 1/5685120*(239*a + 597))*r3 + (1/1353600*(-11*a + 485)*r1 + 
        1/1895040*(19*a + 1179)))))*b1 + ((((1/710640*(373*a - 4619)*r1 + 1/710640*(1217*a - 15375))*r3 + 
        (1/1658160*(-1515*a + 18439)*r1 + 1/552720*(-1769*a + 21725)))*r4 + ((1/710640*(-795*a + 10279)*r1 + 
        1/710640*(-2127*a + 28195))*r3 + (1/236880*(533*a - 6683)*r1 + 1/142128*(1039*a - 12825))))*t^2 + 
        (((1/1421280*(291*a - 3815)*r1 + 1/1421280*(779*a - 10035))*r3 + (1/473760*(-167*a + 2065)*r1 + 
        1/157920*(-199*a + 2365)))*r4 + ((1/1421280*(-727*a + 8913)*r1 + 1/1421280*(-2501*a + 31055))*r3 + 
        (1/157920*(167*a - 1971)*r1 + 1/284256*(1223*a - 14127))))*t + (((1/406080*(-105*a + 1331)*r1 + 
        1/2842560*(-2093*a + 27935))*r3 + (1/947520*(367*a - 4551)*r1 + 1/568512*(695*a - 8895)))*r4 + 
        ((1/2842560*(1229*a - 16169)*r1 + 1/2842560*(2743*a - 40315))*r3 + (1/189504*(-169*a + 2119)*r1 + 
        1/2842560*(-7873*a + 100335))))))*b2 + ((((1/49744800*(-5063*a - 53085)*r1 + 1/1421280*(365*a + 4903))*r3 +
        (1/49744800*(-3911*a + 54555)*r1 + 1/3316320*(3361*a + 28163)))*r4 + ((1/7106400*(-2693*a + 48365)*r1 + 
        1/473760*(-505*a + 3953))*r3 + (1/473760*(911*a - 439)*r1 + 1/203040*(217*a - 3321))))*t^2 + 
        (((1/2842560*(507*a - 2879)*r1 + 1/2842560*(929*a - 5061))*r3 + (1/14212800*(-6001*a + 26385)*r1 + 
        1/2842560*(-1267*a + 17571)))*r4 + ((1/4737600*(289*a + 9775)*r1 + 1/2842560*(-887*a - 7353))*r3 + 
        (1/14212800*(4757*a - 47505)*r1 + 1/2842560*(-1277*a - 34047))))*t + (((1/28425600*(179*a + 11335)*r1 + 
        1/812160*(-83*a - 391))*r3 + (1/28425600*(-2261*a - 5505)*r1 + 1/5685120*(-3221*a - 7785)))*r4 + 
        ((1/28425600*(-2953*a - 88905)*r1 + 1/812160*(-11*a - 1395))*r3 + (1/9475200*(-8517*a + 1915)*r1 + 
        1/1895040*(-1153*a + 13647)))))*b1 + (((1/355320*(2561*a - 32675)*r1 + 1/177660*(4069*a - 57270))*r3 + 
        (1/118440*(-731*a + 9679)*r1 + 1/9870*(-257*a + 3320)))*r4 + ((1/177660*(-1159*a + 13997)*r1 + 
        1/355320*(-4373*a + 56125))*r3 + (1/8460*(177*a - 2194)*r1 + 1/50760*(3191*a - 44985))))*t^2 + 
        (((1/710640*(589*a - 7349)*r1 + 1/71064*(125*a - 1965))*r3 + (1/118440*(-386*a + 4829)*r1 + 1/78960*(-887*a
        + 13045)))*r4 + ((1/355320*(-2720*a + 35793)*r1 + 1/710640*(-18927*a + 261365))*r3 + (1/78960*(443*a - 
        6227)*r1 + 1/355320*(11441*a - 159165))))*t + ((1/2842560*(-10397*a + 128815)*r1 + 1/2842560*(-28647*a + 
        401605))*r3 + (1/189504*(601*a - 7767)*r1 + 1/2842560*(30173*a - 375315)))*r4 + (1/2842560*(10593*a - 
        125083)*r1 + 1/2842560*(16863*a - 189845))*r3 + 1/135360*(-1401*a + 17335)*r1 + 1/406080*(-11261*a + 
        150075),
    (((((1/1421280*(a - 27)*r1 + 1/9948960*(-5*a - 241))*r3*r4 + (1/49744800*(839*a - 15885)*r1 + 1/9948960*(331*a 
        - 6681)))*t^2 + ((1/33163200*(-71*a + 2105)*r1 + 1/19897920*(-127*a + 2301))*r4 + (1/99489600*(-247*a + 
        465)*r1 + 1/19897920*(39*a + 827))*r3)*t + ((1/99489600*(57*a + 905)*r1 + 1/9948960*(-4*a - 127))*r3*r4 + 
        (1/12436200*(-59*a + 1170)*r1 + 1/19897920*(-127*a + 4275))))*b1 + (((1/4974480*(-a + 215)*r1 + 
        1/994896*(-27*a + 541))*r3*r4 + (1/33840*(-a + 27)*r1 + 1/710640*(-239*a + 5325)))*t^2 + ((1/236880*(-2*a +
        7)*r1 + 1/710640*(17*a - 600))*r4 + (1/101520*(-3*a + 34)*r1 + 1/142128*(-8*a + 75))*r3)*t + 
        ((1/2842560*(-a - 67)*r1 + 1/947520*(17*a - 365))*r3*r4 + (1/947520*(17*a - 365)*r1 + 1/568512*(79*a - 
        1851)))))*b2^2 + ((((1/49744800*(-233*a - 5835)*r1 + 1/9948960*(87*a - 2255))*r3*r4 + (1/1421280*(-271*a + 
        1959)*r1 + 1/1421280*(-667*a + 1935)))*t^2 + ((1/33163200*(1273*a - 7205)*r1 + 1/19897920*(1909*a - 
        4449))*r4 + (1/14212800*(7*a - 1035)*r1 + 1/2842560*(-11*a + 391))*r3)*t + ((1/14212800*(49*a + 1450)*r1 + 
        1/2842560*(-11*a + 344))*r3*r4 + (1/14212800*(808*a - 7575)*r1 + 1/2842560*(454*a - 555))))*b1 + 
        (((1/710640*(-19*a + 325)*r1 + 1/710640*(67*a - 305))*r3*r4 + (1/236880*(103*a - 1089)*r1 + 
        1/710640*(2147*a - 20745)))*t^2 + ((1/59220*(4*a - 61)*r1 + 1/710640*(-89*a - 135))*r4 + (1/710640*(215*a -
        2797)*r1 + 1/355320*(254*a - 3615))*r3)*t + ((1/710640*(2*a - 101)*r1 + 1/118440*(-17*a + 130))*r3*r4 + 
        (1/236880*(-81*a + 965)*r1 + 1/710640*(-1166*a + 12165)))))*b2 + (((((1/49744800*(-4057*a + 99105)*r1 + 
        1/1421280*(-157*a + 2453))*r3 + (1/117600*(37*a - 465)*r1 + 1/7840*(9*a - 45)))*r4 + ((1/16800*(3*a - 
        95)*r1 + 1/3360*(5*a - 1))*r3 + (1/7106400*(-14677*a + 171525)*r1 + 1/203040*(-833*a + 10929))))*t^2 + 
        (((1/16800*(-a + 25)*r1 + 1/3360*(-a + 5))*r3 + (1/2368800*(723*a - 12095)*r1 + 1/1421280*(1141*a - 
        14733)))*r4 + ((1/7106400*(1231*a - 17445)*r1 + 1/1421280*(53*a - 6131))*r3 + (1/2400*(-a + 15)*r1 + 
        1/3360*(-5*a + 39))))*t + (((1/14212800*(-344*a - 8995)*r1 + 1/2842560*(153*a + 2308))*r3 + (1/33600*(-4*a 
        + 45)*r1 + 1/2240*(-a + 4)))*r4 + ((1/33600*(-2*a + 45)*r1 + 1/2240*(-a - 2))*r3 + (1/14212800*(8228*a - 
        89475)*r1 + 1/2842560*(2705*a - 41028)))))*b1 + ((((1/177660*(159*a - 3118)*r1 + 1/355320*(2651*a - 
        32285))*r3 + (1/840*(a - 21)*r1 + 1/210*(2*a - 15)))*r4 + ((1/120*(a - 13)*r1 + 1/60*(a - 15))*r3 + 
        (1/8460*(32*a - 441)*r1 + 1/50760*(1601*a - 27435))))*t^2 + (((1/840*(-a + 13)*r1 + 1/420*(-a + 15))*r3 + 
        (1/118440*(81*a - 871)*r1 + 1/177660*(-403*a + 9330)))*r4 + ((1/710640*(1607*a - 13967)*r1 + 1/142128*(37*a
        - 3537))*r3 + (1/560*(-a + 25)*r1 + 1/336*(-5*a + 33))))*t + (((1/406080*(-69*a + 2051)*r1 + 
        1/947520*(-3069*a + 40375))*r3 + (1/2240*(-a + 23)*r1 + 1/6720*(-23*a + 165)))*r4 + ((1/960*(-3*a + 41)*r1 
        + 1/960*(-7*a + 105))*r3 + (1/135360*(-143*a + 1981)*r1 + 1/81216*(-941*a + 16947)))))))*i + 
        ((((1/16581600*(-157*a + 855)*r1 + 1/3316320*(-69*a + 359))*r4 + (1/16581600*(-83*a - 1895)*r1 + 
        1/9948960*(43*a - 33))*r3)*t^2 + ((1/99489600*(53*a + 1765)*r1 + 1/19897920*(-53*a - 449))*r3*r4 + 
        (1/99489600*(1229*a - 1035)*r1 + 1/19897920*(559*a - 429)))*t + ((1/99489600*(227*a - 2745)*r1 + 
        1/3316320*(12*a - 277))*r4 + (1/24872400*(46*a + 1625)*r1 + 1/19897920*(-67*a + 587))*r3))*b1 + 
        (((1/184240*(-13*a + 163)*r1 + 1/4974480*(-841*a + 9735))*r4 + (1/710640*(-145*a + 1659)*r1 + 
        1/710640*(-291*a + 1465))*r3)*t^2 + ((1/4974480*(179*a - 1966)*r1 + 1/4974480*(302*a - 775))*r3*r4 + 
        (1/236880*(22*a - 265)*r1 + 1/15792*(3*a - 34)))*t + ((1/947520*(19*a - 231)*r1 + 1/947520*(39*a - 395))*r4
        + (1/947520*(81*a - 965)*r1 + 1/568512*(111*a - 835))*r3)))*b2^2 + ((((1/5527200*(309*a - 3925)*r1 + 
        1/3316320*(411*a - 4799))*r4 + (1/2368800*(-73*a - 2635)*r1 + 1/1421280*(65*a - 1473))*r3)*t^2 + 
        ((1/99489600*(657*a + 19955)*r1 + 1/19897920*(-281*a + 1853))*r3*r4 + (1/14212800*(-713*a + 12765)*r1 + 
        1/2842560*(-283*a + 6231)))*t + ((1/14212800*(-293*a + 3540)*r1 + 1/947520*(-61*a + 284))*r4 + 
        (1/2842560*(60*a + 1247)*r1 + 1/2842560*(-4*a + 1189))*r3))*b1 + (((1/552720*(171*a - 2549)*r1 + 
        1/4974480*(289*a - 29235))*r4 + (1/710640*(643*a - 8901)*r1 + 1/710640*(401*a - 15715))*r3)*t^2 + 
        ((1/355320*(-62*a + 875)*r1 + 1/710640*(-43*a + 2665))*r3*r4 + (1/236880*(-129*a + 1885)*r1 + 
        1/39480*(-13*a + 445)))*t + ((1/473760*(-29*a + 501)*r1 + 1/473760*(79*a - 65))*r4 + (1/473760*(-183*a + 
        2497)*r1 + 1/284256*(-115*a + 3011))*r3)))*b2 + ((((1/117600*(11*a + 645)*r1 + 1/23520*(a + 303))*r3 + 
        (1/3316320*(2957*a - 42897)*r1 + 1/3316320*(5871*a - 102211)))*r4 + ((1/2368800*(571*a - 95)*r1 + 
        1/1421280*(-41*a - 23427))*r3 + (1/5600*(a + 135)*r1 + 1/3360*(a + 183))))*t^2 + (((1/3553200*(-14*a + 
        895)*r1 + 1/710640*(108*a + 3241))*r3 + (-3/560*r1 - 1/80))*r4 + ((1/8400*(-a - 65)*r1 - 1/60)*r3 + 
        (1/1776600*(-1802*a + 19185)*r1 + 1/710640*(-1367*a + 20835))))*t + (((1/33600*(-a - 80)*r1 - 37/6720)*r3 +
        (1/14212800*(-3607*a + 73560)*r1 + 1/947520*(-412*a + 13051)))*r4 + ((1/2030400*(-73*a - 4750)*r1 + 
        1/2842560*(594*a + 4877))*r3 + (1/33600*(-a - 240)*r1 - 1/64))))*b1 + (((-1/420*r1 + 1/840*(a - 15))*r3 + 
        (1/39480*(229*a - 2893)*r1 + 1/35532*(499*a - 5859)))*r4 + ((1/355320*(6319*a - 77271)*r1 + 1/17766*(527*a 
        - 3419))*r3 + (1/420*(a - 24)*r1 + 1/280*(3*a - 25))))*t^2 + (((1/710640*(-2313*a + 27953)*r1 + 
        1/710640*(-3273*a + 16085))*r3 + (1/1680*(-a + 21)*r1 + 1/336*(-a + 9)))*r4 + (1/118440*(-1079*a + 
        13435)*r1 + 1/7896*(-145*a + 1753)))*t + ((1/6720*(-a + 27)*r1 + 1/2240*(-3*a + 45))*r3 + (1/947520*(-881*a
        + 10251)*r1 + 1/947520*(-1561*a + 10375)))*r4 + (1/947520*(-6843*a + 85309)*r1 + 1/2842560*(-40537*a + 
        333475))*r3 + 1/6720*(-5*a + 147)*r1 + 1/2240*(-7*a + 45),
    ((((((1/49744800*(251*a - 1325)*r1 + 1/9948960*(53*a - 867))*r3 + (1/24872400*(-121*a + 2985)*r1 + 
        1/2487240*(-20*a + 681)))*r4 + ((1/12436200*(-313*a - 150)*r1 + 1/4974480*(-155*a + 1083))*r3 + 
        (1/49744800*(613*a - 195)*r1 + 1/9948960*(587*a + 2763))))*t^2 + (((1/49744800*(243*a + 395)*r1 + 
        1/1658160*(8*a - 75))*r3 + (1/14212800*(-17*a - 105)*r1 + 1/84672*(-a - 9)))*r4 + ((1/99489600*(-377*a + 
        2095)*r1 + 1/2210880*(-a + 215))*r3 + (1/49744800*(367*a - 6525)*r1 + 1/1658160*(34*a - 401))))*t + 
        (((1/198979200*(-309*a + 635)*r1 + 1/39795840*(-139*a - 383))*r3 + (1/198979200*(527*a - 8025)*r1 + 
        1/1473920*(a - 215)))*r4 + ((1/198979200*(2127*a + 3295)*r1 + 1/846720*(13*a - 51))*r3 + (1/66326400*(a - 
        215)*r1 + 1/2653056*(-41*a - 397)))))*b1 + ((((1/2487240*(33*a - 515)*r1 + 1/621810*(41*a - 590))*r3 + 
        (1/1658160*(5*a + 241)*r1 + 1/4974480*(-589*a + 14775)))*r4 + ((1/236880*(-a + 27)*r1 + 1/710640*(-3*a + 
        1585))*r3 + (1/118440*(-3*a - 13)*r1 + 1/177660*(43*a - 1020))))*t^2 + (((1/9948960*(-61*a + 613)*r1 + 
        1/9948960*(-157*a - 2435))*r3 + (1/157920*(-a + 27)*r1 + 1/1421280*(-119*a + 2085)))*r4 + 
        ((1/1421280*(-33*a + 515)*r1 + 1/1421280*(-163*a + 2145))*r3 + (1/94752*(-5*a + 41)*r1 + 1/473760*(7*a - 
        1035))))*t + (((1/1421280*(-5*a + 88)*r1 + 1/1421280*(-34*a + 495))*r3 + (1/189504*(a - 27)*r1 + 
        1/947520*(63*a - 1325)))*r4 + ((1/406080*(a - 27)*r1 + 1/568512*(9*a - 619))*r3 + (1/157920*(8*a - 75)*r1 +
        1/1421280*(31*a + 1560))))))*b2^2 + (((((1/49744800*(-927*a + 15065)*r1 + 1/9948960*(-377*a + 3411))*r3 + 
        (1/24872400*(1438*a - 4845)*r1 + 1/4974480*(649*a - 1026)))*r4 + ((1/710640*(37*a - 1422)*r1 + 
        1/142128*(22*a - 453))*r3 + (1/7106400*(-667*a + 8985)*r1 + 1/1421280*(-221*a + 5403))))*t^2 + 
        (((1/49744800*(-299*a + 19870)*r1 + 1/3316320*(-81*a + 1952))*r3 + (1/99489600*(1469*a - 13155)*r1 + 
        1/423360*(5*a - 291)))*r4 + ((1/14212800*(169*a - 4375)*r1 + 1/947520*(37*a - 59))*r3 + (1/7106400*(-547*a 
        + 2220)*r1 + 1/473760*(-71*a + 460))))*t + (((1/5685120*(29*a - 313)*r1 + 1/5685120*(-9*a - 979))*r3 + 
        (1/5685120*(-103*a + 1089)*r1 + 1/631680*(-37*a + 59)))*r4 + ((1/28425600*(-571*a + 24065)*r1 + 1/17280*(-a
        + 27))*r3 + (1/9475200*(207*a - 1735)*r1 + 1/1895040*(53*a - 1525)))))*b1 + ((((1/355320*(-31*a + 320)*r1 +
        1/355320*(-174*a + 1925))*r3 + (1/1658160*(477*a - 4513)*r1 + 1/4974480*(10963*a - 103395)))*r4 + 
        ((1/236880*(149*a - 2049)*r1 + 1/710640*(1199*a - 13855))*r3 + (1/118440*(-23*a + 10)*r1 + 
        1/355320*(-1346*a + 11385))))*t^2 + (((1/710640*(-39*a + 583)*r1 + 1/142128*(-21*a + 191))*r3 + 
        (1/39480*(2*a - 7)*r1 + 1/710640*(523*a - 4815)))*r4 + ((1/355320*(19*a - 137)*r1 + 1/710640*(323*a - 
        3645))*r3 + (1/118440*(3*a - 175)*r1 + 1/118440*(-202*a + 1365))))*t + (((1/177660*(5*a - 41)*r1 + 
        1/1421280*(319*a - 3255))*r3 + (1/473760*(-67*a + 681)*r1 + 1/11844*(-11*a + 109)))*r4 + ((1/355320*(-101*a
        + 1317)*r1 + 1/284256*(-271*a + 2993))*r3 + (1/157920*(-17*a + 365)*r1 + 1/710640*(769*a - 4125))))))*b2 + 
        (((((1/49744800*(-21647*a + 163255)*r1 + 1/1421280*(-667*a + 11523))*r3 + (1/49744800*(25477*a - 223425)*r1
        + 1/9948960*(11227*a - 69351)))*r4 + ((1/7106400*(12359*a - 4035)*r1 + 1/1421280*(3473*a - 11709))*r3 + 
        (1/7106400*(-5267*a + 66915)*r1 + 1/1421280*(-4993*a + 8193))))*t^2 + (((1/3553200*(-1228*a - 1295)*r1 + 
        1/236880*(-106*a + 277))*r3 + (1/7106400*(383*a - 1035)*r1 + 1/30240*(17*a + 111)))*r4 + 
        ((1/7106400*(2433*a - 10795)*r1 + 1/473760*(61*a - 2587))*r3 + (1/355320*(-259*a + 2199)*r1 + 
        1/236880*(-521*a + 1471))))*t + (((1/14212800*(1724*a - 8525)*r1 + 1/2842560*(539*a - 1252))*r3 + 
        (1/14212800*(-3509*a + 21000)*r1 + 1/315840*(-108*a + 1459)))*r4 + ((1/14212800*(-10349*a + 5930)*r1 + 
        1/8640*(-10*a + 39))*r3 + (1/676800*(-32*a - 1345)*r1 + 1/947520*(753*a + 2276)))))*b1 + 
        ((((1/177660*(-107*a + 962)*r1 + 1/355320*(-857*a + 17875))*r3 + (1/118440*(-133*a + 677)*r1 + 
        1/177660*(2189*a - 39645)))*r4 + ((1/39480*(-57*a + 505)*r1 + 1/88830*(a - 6325))*r3 + (1/8460*(14*a + 
        139)*r1 + 1/10152*(-383*a + 6393))))*t^2 + (((1/710640*(551*a - 5947)*r1 + 1/710640*(623*a + 2825))*r3 + 
        (1/9870*(8*a - 169)*r1 + 1/355320*(3667*a - 54735)))*r4 + ((1/710640*(1313*a - 13925)*r1 + 1/710640*(4651*a
        - 82995))*r3 + (1/23688*(113*a - 1171)*r1 + 1/118440*(-647*a + 19725))))*t + (((1/2842560*(669*a - 6595)*r1
        + 1/2842560*(3769*a - 72435))*r3 + (1/947520*(347*a - 1473)*r1 + 1/947520*(-5197*a + 87115)))*r4 + 
        ((1/2842560*(2347*a - 22197)*r1 + 1/2842560*(-637*a + 85255))*r3 + (1/45120*(-165*a + 1447)*r1 + 
        1/406080*(2351*a - 61785)))))))*i + (((((1/12436200*(54*a - 95)*r1 + 1/4974480*(29*a - 313))*r3 + 
        (1/49744800*(-229*a - 3405)*r1 + 1/9948960*(-127*a - 1647)))*r4 + ((1/49744800*(1003*a - 5085)*r1 + 
        1/9948960*(353*a - 2199))*r3 + (1/24872400*(-113*a + 7845)*r1 + 1/2487240*(64*a + 2361))))*t^2 + 
        (((1/99489600*(-433*a + 975)*r1 + 1/19897920*(-149*a + 451))*r3 + (1/1058400*(a - 75)*r1 + 1/1658160*(-9*a 
        - 368)))*r4 + ((1/9948960*(-13*a + 163)*r1 + 1/4974480*(-12*a + 277))*r3 + (1/2210880*(11*a + 267)*r1 + 
        1/19897920*(151*a + 4383))))*t + (((1/4233600*(-9*a - 25)*r1 + 1/39795840*(-123*a + 125))*r3 + 
        (1/198979200*(-73*a + 2535)*r1 + 1/13265280*(39*a + 827)))*r4 + ((1/198979200*(-1759*a + 9705)*r1 + 
        1/39795840*(-745*a + 3571))*r3 + (1/198979200*(947*a - 19365)*r1 + 1/39795840*(-361*a - 14505)))))*b1 + 
        ((((1/994896*(13*a - 163)*r1 + 1/4974480*(193*a - 2015))*r3 + (1/59220*(4*a - 61)*r1 + 1/497448*(143*a - 
        2451)))*r4 + ((1/177660*(37*a - 435)*r1 + 1/355320*(147*a - 1525))*r3 + (1/236880*(-13*a + 163)*r1 + 
        1/710640*(-67*a + 1245))))*t^2 + (((1/9948960*(-297*a + 3319)*r1 + 1/9948960*(-447*a + 3985))*r3 + 
        (1/473760*(-7*a + 95)*r1 + 1/284256*(-17*a + 177)))*r4 + ((1/1421280*(-75*a + 991)*r1 + 1/473760*(-81*a + 
        965))*r3 + (1/473760*(-19*a + 325)*r1 + 1/473760*(-97*a + 2055))))*t + (((1/2842560*(-11*a + 109)*r1 + 
        1/2842560*(-17*a - 105))*r3 + (1/157920*(-4*a + 61)*r1 + 1/473760*(-51*a + 860)))*r4 + ((1/1421280*(-125*a 
        + 1542)*r1 + 1/284256*(-60*a + 727))*r3 + (1/189504*(13*a - 163)*r1 + 1/2842560*(457*a - 6135))))))*b2^2 + 
        (((((1/24872400*(-347*a + 10450)*r1 + 1/4974480*(-232*a + 2833))*r3 + (1/9948960*(-19*a - 5127)*r1 + 
        1/1989792*(-13*a - 2469)))*r4 + ((1/7106400*(-589*a + 6315)*r1 + 1/1421280*(-155*a + 3057))*r3 + 
        (1/3553200*(344*a - 405)*r1 + 1/710640*(223*a + 1734))))*t^2 + (((1/19897920*(251*a - 3957)*r1 + 
        1/19897920*(205*a - 9859))*r3 + (1/211680*(-5*a + 18)*r1 + 1/3316320*(-279*a - 1538)))*r4 + 
        ((1/7106400*(81*a - 1670)*r1 + 1/1421280*(61*a - 284))*r3 + (1/4737600*(127*a + 2775)*r1 + 1/2842560*(143*a
        + 3471))))*t + (((1/604800*(a - 95)*r1 + 1/5685120*(13*a - 1667))*r3 + (1/28425600*(-71*a + 1635)*r1 + 
        1/1895040*(-11*a + 391)))*r4 + ((1/28425600*(1171*a - 11595)*r1 + 1/5685120*(321*a - 6505))*r3 + 
        (1/5685120*(-199*a + 1989)*r1 + 1/812160*(-107*a - 495)))))*b1 + ((((1/710640*(-81*a + 965)*r1 + 
        1/710640*(-281*a + 3545))*r3 + (1/165816*(-99*a + 1216)*r1 + 1/2487240*(-5626*a + 66315)))*r4 + 
        ((1/355320*(-545*a + 7524)*r1 + 1/71064*(-160*a + 2957))*r3 + (1/236880*(57*a - 1069)*r1 + 1/142128*(-109*a
        + 405))))*t^2 + (((1/710640*(163*a - 2333)*r1 + 1/177660*(37*a - 905))*r3 + (1/118440*(14*a - 143)*r1 + 
        1/355320*(217*a - 2475)))*r4 + ((1/710640*(253*a - 3071)*r1 + 1/236880*(277*a - 3625))*r3 + 
        (1/236880*(123*a - 1535)*r1 + 1/118440*(241*a - 2700))))*t + (((1/710640*(22*a - 265)*r1 + 1/284256*(23*a -
        339))*r3 + (1/78960*(16*a - 197)*r1 + 1/473760*(361*a - 4295)))*r4 + ((1/1421280*(953*a - 12759)*r1 + 
        1/142128*(193*a - 3002))*r3 + (1/473760*(-213*a + 3025)*r1 + 1/710640*(-397*a + 8040))))))*b2 + 
        ((((1/49744800*(-16321*a + 117025)*r1 + 1/1421280*(-933*a + 9493))*r3 + (1/9948960*(1153*a + 94923)*r1 + 
        1/9948960*(5963*a + 238593)))*r4 + ((1/7106400*(-12761*a + 149685)*r1 + 1/1421280*(-4783*a + 65691))*r3 + 
        (1/7106400*(5603*a - 212475)*r1 + 1/1421280*(-431*a - 97497))))*t^2 + (((1/3553200*(1214*a - 12615)*r1 + 
        1/710640*(426*a - 5627))*r3 + (1/151200*(-29*a + 885)*r1 + 1/473760*(27*a + 7073)))*r4 + ((1/7106400*(779*a
        - 20845)*r1 + 1/203040*(79*a - 1381))*r3 + (1/592200*(-28*a - 7845)*r1 + 1/710640*(-227*a - 22917))))*t + 
        (((1/302400*(44*a - 125)*r1 + 1/2842560*(809*a - 3560))*r3 + (1/14212800*(1171*a - 48960)*r1 + 
        1/947520*(-88*a - 9515)))*r4 + ((1/14212800*(11107*a - 119550)*r1 + 1/2842560*(4730*a - 50677))*r3 + 
        (1/14212800*(-7208*a + 156405)*r1 + 1/2842560*(-23*a + 78312)))))*b1 + (((1/177660*(-371*a + 5458)*r1 + 
        1/355320*(-2859*a + 30005))*r3 + (1/118440*(-977*a + 13501)*r1 + 1/177660*(-5953*a + 87975)))*r4 + 
        ((1/355320*(-7921*a + 96837)*r1 + 1/17766*(-781*a + 9760))*r3 + (1/8460*(46*a - 725)*r1 + 1/10152*(191*a - 
        2901))))*t^2 + (((1/710640*(2185*a - 25813)*r1 + 1/710640*(3073*a - 37945))*r3 + (1/118440*(177*a - 
        2053)*r1 + 1/44415*(199*a - 2130)))*r4 + ((1/710640*(4189*a - 59617)*r1 + 1/236880*(5137*a - 56825))*r3 + 
        (1/59220*(257*a - 3790)*r1 + 1/59220*(1411*a - 23010))))*t + ((1/568512*(291*a - 4285)*r1 + 1/406080*(613*a
        - 3015))*r3 + (1/315840*(1165*a - 16039)*r1 + 1/947520*(13103*a - 192665)))*r4 + (1/2842560*(27911*a - 
        349209)*r1 + 1/2842560*(67823*a - 894605))*r3 + 1/135360*(-1061*a + 14359)*r1 + 1/406080*(-8699*a + 
        118125),
    (((((1/132300*(a - 5)*r1 + 1/1658160*(25*a - 111))*r3*r4 + (1/24872400*(503*a - 2865)*r1 + 1/2487240*(29*a - 
        1629)))*t^2 + ((1/6632640*(-25*a + 111)*r1 + 1/2210880*(-13*a + 163))*r4 + (1/99489600*(-1003*a + 5085)*r1 
        + 1/19897920*(-353*a + 2199))*r3)*t + ((1/99489600*(-347*a + 2225)*r1 + 1/19897920*(-107*a + 1291))*r3*r4 +
        (1/16581600*(-219*a + 1025)*r1 + 1/3316320*(-17*a + 1352))))*b1 + (((1/4974480*(33*a - 515)*r1 + 
        1/4974480*(157*a - 855))*r3*r4 + (1/78960*(13*a - 163)*r1 + 1/710640*(317*a - 2355)))*t^2 + 
        ((1/118440*(-3*a + 34)*r1 + 1/236880*(-11*a + 15))*r4 + 1/710640*(a - 215)*r3)*t + ((1/1421280*(-5*a + 
        88)*r1 + 1/1421280*(-33*a + 280))*r3*r4 + (1/473760*(-18*a + 251)*r1 + 1/284256*(-40*a + 375)))))*b2^2 + 
        ((((1/529200*(-17*a + 155)*r1 + 1/1658160*(-59*a + 1499))*r3*r4 + (1/1776600*(-133*a + 3450)*r1 + 
        1/355320*(-107*a + 633)))*t^2 + ((1/33163200*(577*a - 12195)*r1 + 1/6632640*(359*a - 3489))*r4 + 
        (1/14212800*(589*a - 6315)*r1 + 1/2842560*(155*a - 3057))*r3)*t + ((1/14212800*(222*a - 2375)*r1 + 
        1/2842560*(82*a - 1039))*r3*r4 + (1/947520*(37*a - 1046)*r1 + 1/947520*(153*a - 982))))*b1 + 
        (((1/355320*(55*a - 686)*r1 + 1/355320*(199*a - 2130))*r3*r4 + (1/39480*(-5*a + 88)*r1 + 1/355320*(377*a - 
        450)))*t^2 + ((1/236880*(a - 74)*r1 + 1/47376*(-20*a + 117))*r4 + (1/5040*(-a + 12)*r1 + 1/710640*(-572*a +
        6185))*r3)*t + ((1/1421280*(-101*a + 1364)*r1 + 1/1421280*(-253*a + 2930))*r3*r4 + (1/473760*(-44*a + 
        577)*r1 + 1/1421280*(-562*a + 4035)))))*b2 + (((((1/1058400*(-657*a + 7205)*r1 + 1/473760*(-545*a + 
        6349))*r3 + (1/117600*(-13*a - 75)*r1 + 1/23520*(-11*a - 141)))*r4 + ((1/3360*(a - 13)*r1 + 1/3360*(-a - 
        67))*r3 + (1/7106400*(-10439*a + 186255)*r1 + 1/1421280*(-3793*a + 97617))))*t^2 + (((1/33600*(-a + 5)*r1 +
        1/6720*(a + 19))*r3 + (1/315840*(83*a - 1395)*r1 + 1/947520*(599*a - 9687)))*r4 + ((1/2842560*(2383*a - 
        24015)*r1 + 1/2842560*(3937*a - 49617))*r3 + (1/11200*(3*a - 15)*r1 + 1/960*(a + 3))))*t + 
        (((1/28425600*(8467*a - 103025)*r1 + 1/5685120*(2859*a - 47113))*r3 + (1/67200*(a + 45)*r1 + 1/13440*(a + 
        45)))*r4 + ((1/67200*(-11*a + 125)*r1 + 1/13440*(a + 121))*r3 + (1/1353600*(1309*a - 18235)*r1 + 
        1/1895040*(2687*a - 72361)))))*b1 + ((((1/355320*(-671*a + 8153)*r1 + 1/35532*(-208*a + 2937))*r3 + 
        (-1/70*r1 + 1/840*(a + 15)))*r4 + ((1/120*(-a + 13)*r1 + 1/60*(-a + 15))*r3 + (1/2820*(-46*a + 537)*r1 + 
        1/50760*(-1589*a + 13575))))*t^2 + (((1/560*(a - 13)*r1 + 1/280*(a - 15))*r3 + (1/118440*(290*a - 3083)*r1 
        + 1/236880*(421*a + 1605)))*r4 + ((1/2520*(4*a - 51)*r1 + 1/710640*(3303*a - 40865))*r3 + (1/1680*(a + 
        3)*r1 + 1/280*(a - 15))))*t + (((1/2842560*(2925*a - 35359)*r1 + 1/568512*(2075*a - 30833))*r3 + 
        (1/6720*(-a + 75)*r1 + 1/6720*(-11*a - 15)))*r4 + ((1/960*(3*a - 37)*r1 + 1/192*(a - 15))*r3 + 
        (1/135360*(665*a - 7991)*r1 + 1/406080*(4877*a - 52155)))))))*i + ((((1/2072700*(-8*a + 75)*r1 + 
        1/4974480*(-115*a - 279))*r4 + (1/24872400*(-11*a - 4215)*r1 + 1/621810*(a - 215))*r3)*t^2 + 
        ((1/99489600*(-137*a + 3135)*r1 + 1/19897920*(-55*a + 1297))*r3*r4 + (1/99489600*(613*a - 195)*r1 + 
        1/19897920*(587*a + 2763)))*t + ((1/14212800*(49*a - 195)*r1 + 1/423360*(5*a + 3))*r4 + (1/2487240*(10*a + 
        153)*r1 + 1/1105440*(10*a + 153))*r3))*b1 + (((1/236880*(-29*a + 407)*r1 + 1/1658160*(-751*a + 10125))*r4 +
        (1/710640*(-147*a + 1901)*r1 + 1/142128*(-87*a + 1033))*r3)*t^2 + ((1/4974480*(221*a - 2771)*r1 + 
        1/829080*(97*a - 1115))*r3*r4 + (1/236880*(37*a - 529)*r1 + 1/355320*(212*a - 3045)))*t + ((1/473760*(25*a 
        - 346)*r1 + 1/1421280*(271*a - 3510))*r4 + (1/1421280*(96*a - 1229)*r1 + 1/30240*(6*a - 65))*r3)))*b2^2 + 
        ((((1/8290800*(397*a - 3105)*r1 + 1/4974480*(403*a - 6369))*r4 + (1/888300*(-64*a - 105)*r1 + 
        1/355320*(-65*a - 172))*r3)*t^2 + ((1/99489600*(1613*a - 4635)*r1 + 1/19897920*(675*a - 1681))*r3*r4 + 
        (1/14212800*(-667*a + 8985)*r1 + 1/2842560*(-221*a + 5403)))*t + ((1/14212800*(-298*a + 3675)*r1 + 
        1/60480*(-2*a + 45))*r4 + (1/14212800*(221*a + 3480)*r1 + 1/947520*(59*a + 804))*r3))*b1 + 
        (((1/829080*(624*a - 7495)*r1 + 1/829080*(2252*a - 28515))*r4 + (1/355320*(494*a - 6241)*r1 + 
        1/355320*(1364*a - 19015))*r3)*t^2 + ((1/710640*(-219*a + 2858)*r1 + 1/236880*(-168*a + 2515))*r3*r4 + 
        (1/236880*(-249*a + 3010)*r1 + 1/710640*(-2734*a + 33915)))*t + ((1/473760*(-153*a + 1828)*r1 + 
        1/1421280*(-1651*a + 21030))*r4 + (1/1421280*(-580*a + 7247)*r1 + 1/30240*(-34*a + 485))*r3)))*b2 + 
        ((((1/23520*(-a - 23)*r1 + 1/23520*(-3*a - 125))*r3 + (1/5527200*(1399*a + 11765)*r1 + 1/9948960*(11533*a +
        74103)))*r4 + ((1/7106400*(-4291*a + 95835)*r1 + 1/1421280*(-2421*a + 39517))*r3 + (1/5600*(-3*a + 15)*r1 +
        1/1120*(-a + 13))))*t^2 + (((1/14212800*(3049*a - 48765)*r1 + 1/568512*(275*a - 4135))*r3 + (1/11200*(a + 
        15)*r1 + 1/6720*(a + 15)))*r4 + ((1/33600*(3*a + 125)*r1 + 1/6720*(a + 79))*r3 + (1/14212800*(-4421*a - 
        98055)*r1 + 1/2842560*(-4147*a - 55257))))*t + (((1/67200*(a - 35)*r1 + 1/13440*(a + 5))*r3 + 
        (1/28425600*(-6763*a - 135)*r1 + 1/120960*(-77*a + 39)))*r4 + ((1/28425600*(-871*a - 102255)*r1 + 
        1/1895040*(55*a - 14457))*r3 + (1/67200*(19*a - 165)*r1 + 1/1920*(a - 15)))))*b1 + (((1/140*r1 + 1/280*(-a 
        + 15))*r3 + (1/118440*(1903*a - 25343)*r1 + 1/59220*(3131*a - 41955)))*r4 + ((1/88830*(2117*a - 27455)*r1 +
        1/355320*(25349*a - 319985))*r3 + (1/840*(a - 3)*r1 + 1/420*(4*a - 45))))*t^2 + (((1/710640*(-3551*a + 
        45211)*r1 + 1/118440*(-1579*a + 19885))*r3 + (-1/280*r1 + 1/1680*(-a + 15)))*r4 + ((-1/120*r1 + 1/240*(a - 
        15))*r3 + (1/236880*(-4783*a + 64187)*r1 + 1/355320*(-24739*a + 339705))))*t + ((1/6720*(-a - 1)*r1 + 
        1/1344*(a - 15))*r3 + (1/947520*(-6071*a + 80257)*r1 + 1/2842560*(-59647*a + 780825)))*r4 + 
        (1/2842560*(-21803*a + 283745)*r1 + 1/60480*(-1379*a + 16505))*r3 + 1/6720*(-5*a + 63)*r1 + 1/1344*(-7*a + 
        69),
    ((((((1/16581600*(-59*a - 475)*r1 + 1/9948960*(29*a + 345))*r3 + (1/49744800*(-37*a - 5205)*r1 + 
        1/9948960*(103*a - 1089)))*r4 + ((1/9948960*(205*a + 669)*r1 + 1/9948960*(337*a + 1241))*r3 + 
        (1/49744800*(187*a + 12435)*r1 + 1/9948960*(-227*a + 2745))))*t^2 + (((1/12436200*(-37*a - 270)*r1 + 
        1/211680*(-a - 9))*r3 + (1/4974480*(-10*a - 153)*r1 + 1/9948960*(25*a - 111)))*r4 + ((1/24872400*(124*a + 
        1305)*r1 + 1/9948960*(-41*a - 397))*r3 + (1/49744800*(-59*a + 6105)*r1 + 1/4974480*(-109*a + 405))))*t + 
        (((1/198979200*(361*a + 1345)*r1 + 1/7959168*(-11*a - 267))*r3 + (1/24872400*(71*a + 1185)*r1 + 
        1/19897920*(17*a + 951)))*r4 + ((1/8290800*(-53*a - 120)*r1 + 1/19897920*(-149*a - 207))*r3 + 
        (1/198979200*(547*a - 25485)*r1 + 1/39795840*(635*a - 7557)))))*b1 + ((((1/2487240*(-148*a + 1881)*r1 + 
        1/497448*(-83*a + 1066))*r3 + (1/236880*(13*a - 163)*r1 + 1/4974480*(823*a - 5865)))*r4 + ((1/710640*(-a - 
        161)*r1 + 1/5040*(a - 15))*r3 + (1/16920*(-3*a + 34)*r1 + 1/23688*(-8*a + 75))))*t^2 + (((1/9948960*(-145*a
        + 2223)*r1 + 1/9948960*(-717*a + 9395))*r3 + (1/473760*(19*a - 231)*r1 + 1/1421280*(137*a - 1725)))*r4 + 
        ((1/1421280*(127*a - 1643)*r1 + 1/284256*(75*a - 991))*r3 + (1/473760*(-55*a + 733)*r1 + 1/1421280*(-557*a 
        + 6015))))*t + (((1/2842560*(41*a - 543)*r1 + 1/2842560*(131*a - 1845))*r3 + (1/947520*(-5*a + 41)*r1 + 
        1/189504*(-a - 67)))*r4 + ((1/60480*(a - 5)*r1 + 1/315840*(-17*a + 365))*r3 + (1/947520*(45*a - 463)*r1 + 
        1/2842560*(157*a - 855))))))*b2^2 + (((((1/16581600*(-139*a - 6305)*r1 + 1/9948960*(97*a - 1773))*r3 + 
        (1/49744800*(-2477*a - 7005)*r1 + 1/9948960*(-871*a + 393)))*r4 + ((1/7106400*(-77*a + 7155)*r1 + 
        1/40608*(3*a + 107))*r3 + (1/7106400*(1109*a - 2025)*r1 + 1/1421280*(575*a - 579))))*t^2 + 
        (((1/49744800*(-179*a - 7575)*r1 + 1/211680*(-5*a - 87))*r3 + (1/24872400*(-493*a - 930)*r1 + 
        1/9948960*(-529*a - 99)))*r4 + ((1/3553200*(53*a + 2235)*r1 + 1/1421280*(-27*a + 541))*r3 + 
        (1/3553200*(262*a - 165)*r1 + 1/101520*(13*a - 69))))*t + (((1/28425600*(91*a + 3935)*r1 + 1/5685120*(-11*a
        + 297))*r3 + (1/14212800*(226*a + 3345)*r1 + 1/2842560*(88*a + 1149)))*r4 + ((1/676800*(2*a - 195)*r1 + 
        1/2842560*(-58*a - 1677))*r3 + (1/28425600*(-2203*a + 6465)*r1 + 1/812160*(-143*a + 477)))))*b1 + 
        ((((1/88830*(49*a - 618)*r1 + 1/71064*(115*a - 1507))*r3 + (1/829080*(-129*a + 1415)*r1 + 1/248724*(-113*a 
        + 1923)))*r4 + ((1/355320*(51*a - 1283)*r1 + 1/1260*(-2*a + 15))*r3 + (1/118440*(215*a - 2797)*r1 + 
        1/59220*(254*a - 3615))))*t^2 + (((1/101520*(8*a - 75)*r1 + 1/710640*(356*a - 3925))*r3 + (1/473760*(-199*a
        + 2553)*r1 + 1/1421280*(-1613*a + 21555)))*r4 + ((1/1421280*(-1157*a + 14507)*r1 + 1/1421280*(-3517*a + 
        45515))*r3 + (1/236880*(126*a - 1475)*r1 + 1/710640*(1288*a - 17715))))*t + (((1/1421280*(-211*a + 2595)*r1
        + 1/710640*(-356*a + 4395))*r3 + (1/473760*(-27*a + 353)*r1 + 1/473760*(-121*a + 1105)))*r4 + ((1/7560*(-a 
        + 19)*r1 + 1/236880*(149*a - 780))*r3 + (1/236880*(-137*a + 1819)*r1 + 1/1421280*(-1709*a + 25275))))))*b2 
        + (((((1/829080*(152*a - 767)*r1 + 1/355320*(-52*a - 1839))*r3 + (1/24872400*(-3413*a + 184365)*r1 + 
        1/994896*(-557*a + 16449)))*r4 + ((1/710640*(-847*a + 5385)*r1 + 1/710640*(-1181*a + 13087))*r3 + 
        (1/1776600*(253*a - 41235)*r1 + 1/25380*(77*a - 951))))*t^2 + (((1/14212800*(1807*a - 1695)*r1 + 
        1/60480*(7*a - 39))*r3 + (1/14212800*(1663*a + 46185)*r1 + 1/568512*(-203*a + 2379)))*r4 + 
        ((1/14212800*(-3329*a + 5565)*r1 + 1/2842560*(781*a + 19615))*r3 + (1/14212800*(3749*a - 90225)*r1 + 
        1/2842560*(3239*a - 36411))))*t + (((1/568512*(-63*a + 338)*r1 + 1/2842560*(100*a + 8439))*r3 + 
        (1/14212800*(-1507*a - 45180)*r1 + 1/2842560*(-190*a - 17289)))*r4 + ((1/4737600*(1963*a - 19020)*r1 + 
        1/2842560*(1234*a - 28101))*r3 + (1/2842560*(-1391*a + 32904)*r1 + 1/2842560*(-5282*a + 62103)))))*b1 + 
        ((((1/355320*(2243*a - 26439)*r1 + 1/355320*(5487*a - 82255))*r3 + (1/59220*(-463*a + 5921)*r1 + 
        1/17766*(-344*a + 3789)))*r4 + ((1/355320*(-547*a + 12983)*r1 + 1/840*(-23*a + 295))*r3 + (1/8460*(145*a - 
        1753)*r1 + 1/1692*(53*a - 585))))*t^2 + (((1/355320*(683*a - 9699)*r1 + 1/710640*(6401*a - 81365))*r3 + 
        (1/118440*(-467*a + 5700)*r1 + 1/710640*(-6371*a + 80085)))*r4 + ((1/710640*(-7047*a + 85553)*r1 + 
        1/355320*(-9556*a + 139525))*r3 + (1/236880*(3755*a - 49027)*r1 + 1/355320*(16273*a - 201645))))*t + 
        (((1/2842560*(-3697*a + 42291)*r1 + 1/2842560*(-9577*a + 156495))*r3 + (1/947520*(1439*a - 17797)*r1 + 
        1/189504*(363*a - 1717)))*r4 + ((1/60480*(-57*a + 259)*r1 + 1/947520*(8267*a - 121125))*r3 + 
        (1/135360*(-467*a + 5465)*r1 + 1/406080*(-1481*a + 10095)))))))*i + (((((1/9948960*(25*a - 111)*r1 + 
        1/9948960*(97*a + 201))*r3 + (1/7106400*(41*a + 585)*r1 + 1/1989792*(29*a + 345)))*r4 + 
        ((1/49744800*(-127*a + 985)*r1 + 1/9948960*(-285*a - 3209))*r3 + (1/16581600*(131*a - 1845)*r1 + 
        1/3316320*(-157*a - 3093))))*t^2 + (((1/3316320*(3*a + 13)*r1 + 1/4974480*(29*a + 345))*r3 + 
        (1/3109050*(-8*a + 75)*r1 + 1/9948960*(59*a + 1791)))*r4 + ((1/49744800*(-313*a + 1495)*r1 + 
        1/2487240*(-43*a + 33))*r3 + (1/3316320*(-13*a - 495)*r1 + 1/1658160*(-19*a - 521))))*t + 
        (((1/49744800*(17*a - 365)*r1 + 1/19897920*(-65*a - 1159))*r3 + (1/39795840*(-155*a - 891)*r1 + 
        1/7959168*(-83*a - 579)))*r4 + ((1/66326400*(-a + 215)*r1 + 1/13265280*(79*a + 1439))*r3 + 
        (1/49744800*(209*a + 1125)*r1 + 1/3979584*(103*a + 885)))))*b1 + ((((1/1658160*(33*a - 515)*r1 + 
        1/994896*(97*a - 1115))*r3 + (1/829080*(37*a - 388)*r1 + 1/2487240*(104*a - 975)))*r4 + ((1/355320*(34*a - 
        307)*r1 + 1/355320*(11*a + 690))*r3 + (1/236880*(33*a - 515)*r1 + 1/236880*(163*a - 2145))))*t^2 + 
        (((1/9948960*(-59*a + 183)*r1 + 1/1989792*(45*a - 1121))*r3 + (1/473760*(-15*a + 217)*r1 + 1/284256*(-37*a 
        + 435)))*r4 + ((1/1421280*(-33*a + 515)*r1 + 1/203040*(-23*a + 245))*r3 + (1/157920*(-5*a + 41)*r1 + 
        1/1421280*(31*a - 555))))*t + (((1/2842560*(-23*a + 339)*r1 + 1/568512*(-19*a + 231))*r3 + (1/947520*(-25*a
        + 299)*r1 + 1/947520*(-51*a + 625)))*r4 + ((1/2842560*(-115*a + 1037)*r1 + 1/406080*(-7*a - 375))*r3 + 
        (1/315840*(-23*a + 339)*r1 + 1/568512*(-179*a + 2295))))))*b2^2 + (((((1/49744800*(-671*a - 495)*r1 + 
        1/9948960*(23*a + 5583))*r3 + (1/49744800*(571*a + 18705)*r1 + 1/9948960*(485*a + 14823)))*r4 + 
        ((1/7106400*(219*a + 4145)*r1 + 1/1421280*(-151*a - 1093))*r3 + (1/157920*(3*a + 107)*r1 + 1/157920*(-23*a 
        - 319))))*t^2 + (((1/16581600*(-73*a - 755)*r1 + 1/4974480*(97*a + 1188))*r3 + (1/49744800*(131*a - 
        11715)*r1 + 1/9948960*(421*a + 1605)))*r4 + ((1/710640*(21*a - 97)*r1 + 1/710640*(11*a - 720))*r3 + 
        (1/2368800*(-107*a - 495)*r1 + 1/118440*(-16*a - 179))))*t + (((1/14212800*(-12*a + 1405)*r1 + 
        1/2842560*(-60*a - 401))*r3 + (1/28425600*(127*a - 5685)*r1 + 1/5685120*(-83*a - 4527)))*r4 + 
        ((1/9475200*(-19*a - 2495)*r1 + 1/270720*(13*a + 25))*r3 + (1/14212800*(-424*a + 3975)*r1 + 
        1/2842560*(-38*a + 4551)))))*b1 + ((((1/59220*(4*a - 61)*r1 + 1/71064*(5*a - 41))*r3 + (1/414540*(-195*a + 
        2774)*r1 + 1/2487240*(-1349*a + 26835)))*r4 + ((1/355320*(-225*a + 3349)*r1 + 1/17766*(5*a + 147))*r3 + 
        (1/59220*(-19*a + 137)*r1 + 1/118440*(-323*a + 3645))))*t^2 + (((1/1421280*(101*a - 1599)*r1 + 
        1/1421280*(-143*a - 275))*r3 + (1/236880*(13*a - 116)*r1 + 1/710640*(223*a - 3060)))*r4 + 
        ((1/710640*(-103*a + 1418)*r1 + 1/710640*(-249*a + 2540))*r3 + (1/52640*(29*a - 407)*r1 + 1/284256*(223*a -
        3765))))*t + (((1/710640*(-a + 27)*r1 + 1/710640*(2*a - 195))*r3 + (1/118440*(25*a - 346)*r1 + 
        1/473760*(157*a - 2735)))*r4 + ((1/1421280*(319*a - 4759)*r1 + 1/710640*(-137*a - 1800))*r3 + 
        (1/157920*(45*a - 463)*r1 + 1/1421280*(2123*a - 25455))))))*b2 + ((((1/12436200*(-2308*a + 43845)*r1 + 
        1/355320*(-242*a + 1881))*r3 + (1/24872400*(-6101*a - 106275)*r1 + 1/4974480*(-1525*a - 14943)))*r4 + 
        ((1/3553200*(1517*a + 12245)*r1 + 1/710640*(1471*a + 21947))*r3 + (1/592200*(-431*a + 9945)*r1 + 
        1/29610*(25*a + 1863))))*t^2 + (((1/947520*(-103*a - 697)*r1 + 1/568512*(-251*a - 3093))*r3 + 
        (1/14212800*(2969*a - 60705)*r1 + 1/2842560*(199*a - 39495)))*r4 + ((1/14212800*(7049*a - 98485)*r1 + 
        1/2842560*(3571*a - 34095))*r3 + (1/1579200*(-123*a + 20335)*r1 + 1/947520*(-403*a + 18871))))*t + 
        (((1/14212800*(-709*a + 2270)*r1 + 1/2842560*(356*a + 6509))*r3 + (1/14212800*(3601*a - 3180)*r1 + 
        1/2842560*(1498*a - 2517)))*r4 + ((1/135360*(-3*a - 436)*r1 + 1/947520*(-306*a - 13499))*r3 + 
        (1/2030400*(-479*a - 3000)*r1 + 1/2842560*(-3334*a - 29691)))))*b1 + (((1/118440*(-295*a + 3359)*r1 + 
        1/355320*(-2937*a + 47245))*r3 + (1/14805*(-98*a + 1189)*r1 + 1/35532*(-307*a + 4059)))*r4 + 
        ((1/355320*(-3553*a + 41129)*r1 + 1/355320*(-1831*a - 24165))*r3 + (1/4230*(-62*a + 875)*r1 + 
        1/4230*(-292*a + 3795))))*t^2 + (((1/177660*(155*a - 1647)*r1 + 1/101520*(-103*a + 2875))*r3 + 
        (1/118440*(386*a - 5111)*r1 + 1/710640*(8597*a - 104655)))*r4 + ((1/710640*(2441*a - 28307)*r1 + 
        1/355320*(3977*a - 61930))*r3 + (1/78960*(555*a - 6619)*r1 + 1/35532*(211*a - 3159))))*t + 
        ((1/2842560*(1957*a - 21255)*r1 + 1/2842560*(5533*a - 93555))*r3 + (1/947520*(3435*a - 43489)*r1 + 
        1/947520*(7139*a - 94805)))*r4 + (1/2842560*(11853*a - 135415)*r1 + 1/568512*(1057*a + 21657))*r3 + 
        1/45120*(293*a - 4151)*r1 + 1/406080*(12317*a - 157155)
]