//
// This file provides the formulae in Section 6.5 of :
//
//  "On families of n-congruent elliptic curves" 
//  T. Fisher (May 2011)

function r1tilde(aa,xx)
  a,b,c,d,e := Explode(aa);
  v,w,x,y,z := Explode(xx);
  return (1/7260)*((-588060*b^7*d^5*e + 1379400*b^3*d^8*e^2 + 
    2548260*b^2*c*e^10 + 7260*b*c^8*e^4 + 4668180*b*c^3*d^8*e + 
    1481040*b*c^2*d^3*e^7 - 2744280*b*c*d^9*e^2 + 2758800*b*d^4*e^8 - 
    7260*c^9*d^3*e - 123420*c^7*d^4*e^2 + 2860440*c^5*d^5*e^3 + 
    2482920*c^4*e^9 + 3034680*c^3*d^6*e^4 + 392040*c^2*d*e^10 + 
    3600960*c*d^7*e^5 + 7260*d^13 - 2286900*d^2*e^11)*v^5 + 
    (-784080*a*b*c*e^10 + 3920400*b^6*d^7 - 7840800*b^2*d^10*e - 
    12458160*b*c^4*d^6*e^2 + 6301680*b*c^3*d*e^8 + 3078240*b*c^2*d^7*e^3 - 
    4733520*b*c*d^2*e^9 + 261360*b*d^8*e^4 + 29040*c^12*e -116160*c^10*d*e^2+ 
    5924160*c^8*d^2*e^3 - 609840*c^6*d^3*e^4 + 6388800*c^4*d^4*e^5 - 
    29040*c^3*d^10 - 6214560*c^2*d^5*e^6 + 10977120*c*d^11*e - 
    2787840*d^6*e^7)*v^4*w + (54576*a^6*b^7 - 219676*b^12*e - 
    224764*b^10*c^3 - 268428*b^5*d^8 + 7686000*b^2*d^2*e^9 - 
    1476988*b*c^11*e - 6529784*b*c^5*d^3*e^4 + 28876244*b*c^3*d^4*e^5 +
    6520368*b*c^2*d^10 - 35244*b*c*d^5*e^6 + 1957188*b*d^11*e + 
    202860*b*e^12 - 59560*c^8*d^5 - 9045036*c^7*e^6 - 4091144*c^6*d^6*e
    - 5674484*c^5*d*e^7 - 1282972*c^4*d^7*e^2 + 29067044*c^3*d^2*e^8 + 
    9862480*c^2*d^8*e^3 - 10836932*c*d^3*e^9 + 1972932*d^9*e^4)*v^4*x +
    (4128*a^10*b^3 - 721624*a*b^11*d + 55872*a*d*e^11 - 25792*b^8*c^5 -
    191664*b^7*d^6 - 12393216*b^3*d^9*e - 3251496*b^2*c*d*e^9 + 
    1536664*b*c^10*e^2 + 6091160*b*c^3*d^9 - 7385208*b*c^2*d^4*e^6 + 
    30877064*b*c*d^10*e - 4000728*b*d^5*e^7 + 6384*c^9*d^4 - 
    9029616*c^7*d^5*e + 3171312*c^6*e^7 - 14774344*c^5*d^6*e^2 - 
    4339288*c^4*d*e^8 + 4752480*c^3*d^7*e^3 - 3712496*c^2*d^2*e^9 + 
    11341944*c*d^8*e^4 + 2978168*d^3*e^10)*v^4*y + (2972*a^13 - 
    217748*a^2*b^11 + 1840*a^2*e^11 + 1381512*b^10*d^2*e + 
    1838388*b^3*d^10 - 9848600*b^2*c*d^2*e^8 + 1634004*b*c^12 - 
    3274596*b*c^4*d^4*e^4 - 25350592*b*c^2*d^5*e^5 - 13561536*b*c*d^11 
    - 85036*b*c*e^11 + 8923060*b*d^6*e^6 + 5916520*c^8*e^5 - 
    1493232*c^7*d^6 + 11818168*c^6*d*e^6 + 11210084*c^5*d^7*e - 
    6698756*c^4*d^2*e^7 - 2092232*c^3*d^8*e^2 - 13856436*c^2*d^3*e^8 - 
    7814372*c*d^9*e^3 + 5213940*d^4*e^9)*v^4*z + (10585080*b^8*d^4*e + 
    43560*b^3*c^10 + 19427760*b^2*c*d^8*e^2 + 16044600*b*c^5*d^4*e^3 - 
    24916320*b*c^3*d^5*e^4 + 8276400*b*c^2*e^10 + 17148120*b*c*d^6*e^5 
    + 19471320*b*d^12 - 5532120*b*d*e^11 - 188760*c^9*e^4 + 
    9031440*c^7*d*e^5 + 9336360*c^5*d^2*e^6 - 6083880*c^4*d^8*e - 
    19355160*c^3*d^3*e^7 - 17511120*c^2*d^9*e^2 + 9278280*c*d^4*e^8 + 
    19558440*d^10*e^3)*v^3*w^2 + (34572*a^7*b^6 - 2066204*b^11*d^2 - 
    9872280*b^7*d^5*e + 604440*b^4*c^9 + 7007652*b^3*d^8*e^2 + 
    16749908*b^2*c*e^10 - 3433232*b*c^8*e^4 - 37909560*b*c^3*d^8*e + 
    66128012*b*c^2*d^3*e^7 + 9325960*b*c*d^9*e^2 - 15564132*b*d^4*e^8 -
    8992*c^11*d^2 + 1231616*c^9*d^3*e + 33536148*c^7*d^4*e^2 - 
    15098268*c^5*d^5*e^3 + 4941792*c^4*e^9 + 5525068*c^3*d^6*e^4 - 
    5524552*c^2*d*e^10 - 1886556*c*d^7*e^5 + 4888*d^13 + 
    2682540*d^2*e^11)*v^3*w*x + (1840*a^11*b^2 - 92296*a^2*b^10*d - 
    4288*b^13 + 8985068*b^9*d^3*e + 297712*b^2*c^11 + 18690460*b^2*d^11
    - 4681340*b^2*e^11 + 1335812*b*c^7*e^5 - 29308020*b*c^3*d^2*e^7 - 
    60062972*b*c^2*d^8*e^2 + 3548428*b*c*d^3*e^8 + 47955644*b*d^9*e^3 +
    6535340*c^10*d^2*e - 6235372*c^8*d^3*e^2 + 35551116*c^6*d^4*e^3 - 
    37550784*c^4*d^5*e^4 + 11114472*c^3*e^10 - 42217128*c^2*d^6*e^5 - 
    11014256*c*d^12 - 11314128*c*d*e^11 + 40028172*d^7*e^6)*v^3*w*y + 
    (-93276*a^3*b^10 + 3504*a*c*e^11 + 9392260*b^9*d^4 - 14904*b^6*c^7 
    + 16883136*b^5*d^7*e + 10843588*b^2*d*e^10 + 122840*b*c^9*e^3 + 
    40207668*b*c^4*d^8 - 69323656*b*c^3*d^3*e^6 + 40416480*b*c^2*d^9*e 
    + 74903988*b*c*d^4*e^7 - 51936012*b*d^10*e^2 + 40800*c^10*d^3 - 
    45086248*c^8*d^4*e + 37086724*c^6*d^5*e^2 + 4112604*c^5*e^8 - 
    37185460*c^4*d^6*e^3 + 15743888*c^3*d*e^9 + 138541448*c^2*d^7*e^4 -
    16817220*c*d^2*e^10 - 51745436*d^8*e^5)*v^3*w*z + (-173800*a^5*b^8 
    + 391688*a^2*d*e^10 + 240768*b^10*d^3 + 1876424*b^6*d^6*e - 
    279136*b^5*c^8 - 11903320*b^2*d^9*e^2 + 17627808*b*c^4*d^5*e^3 + 
    12688280*b*c^3*e^9 + 23264296*b*c^2*d^6*e^4 - 5230808*b*c*d*e^10 - 
    16022952*b*d^7*e^5 - 7379856*c^10*e^3 - 1181488*c^8*d*e^4 - 
    9617872*c^6*d^2*e^5 + 242000*c^5*d^8 + 43173240*c^4*d^3*e^6 - 
    969408*c^3*d^9*e + 14601576*c^2*d^4*e^7 + 10981608*c*d^10*e^2 - 
    15092088*d^5*e^8)*v^3*x^2 + (-52704*a^9*b^4 - 66864*a^2*c*e^10 + 
    638448*b^12*d + 2520192*b^8*d^4*e - 1469760*b^3*c^10 - 
    6855864*b^2*c*d^8*e^2 + 18554568*b*c^5*d^4*e^3 - 
    66328776*b*c^3*d^5*e^4 - 9848712*b*c^2*e^10 + 4040784*b*c*d^6*e^5 -
    1030464*b*d^12 + 5720160*b*d*e^11 + 9007704*c^9*e^4 + 
    10870968*c^7*d*e^5 - 226440*c^6*d^7 + 1356888*c^5*d^2*e^6 + 
    4702848*c^4*d^8*e - 71850792*c^3*d^3*e^7 - 13163184*c^2*d^9*e^2 + 
    28226136*c*d^4*e^8 - 1049400*d^10*e^3)*v^3*x*y + (-69020*a*b^12 - 
    550316*a*b*e^11 - 5005412*b^8*d^5 - 176692*b^7*c^6 + 
    5591124*b^4*d^8*e - 14800792*b^2*c*d^9*e - 58444304*b*c^4*e^8 + 
    6596252*b*c^3*d^6*e^3 + 76607516*b*c^2*d*e^9 - 24989332*b*c*d^7*e^4
    - 8183476*b*d^2*e^10 + 10795184*c^11*e^2 - 12138720*c^9*d*e^3 + 
    45696984*c^7*d^2*e^4 - 84473856*c^5*d^3*e^5 - 909288*c^4*d^9 + 
    88459652*c^3*d^4*e^6 - 5787364*c^2*d^10*e - 17691188*c*d^5*e^7 + 
    10480*d^11*e^2 + 1868*e^13)*v^3*x*z + (-1104*a^13 - 332568*a^2*b^11
    + 8640*a^2*e^11 + 1383228*b^10*d^2*e + 1872372*b^3*d^10 + 
    7930500*b^2*c*d^2*e^8 + 110532*b*c^12 + 23335236*b*c^4*d^4*e^4 - 
    9081000*b*c^2*d^5*e^5 - 17781480*b*c*d^11 + 1168608*b*c*e^11 + 
    11497788*b*d^6*e^6 - 4263192*c^8*e^5 + 40224*c^7*d^6 - 
    366144*c^6*d*e^6 + 13692876*c^5*d^7*e + 18545028*c^4*d^2*e^7 - 
    10716*c^3*d^8*e^2 - 16169076*c^2*d^3*e^8 - 13542684*c*d^9*e^3 + 
    9329220*d^4*e^9)*v^3*y^2 + (81400*a^5*b^8 - 68288*a^2*d*e^10 - 
    210672*b^10*d^3 + 2009392*b^6*d^6*e - 711392*b^5*c^8 - 
    19347944*b^2*d^9*e^2 - 43524624*b*c^4*d^5*e^3 + 7654504*b*c^3*e^9 +
    115698176*b*c^2*d^6*e^4 - 11913880*b*c*d*e^10 - 43361208*b*d^7*e^5 
    - 12252240*c^10*e^3 - 21398168*c^8*d*e^4 - 30830096*c^6*d^2*e^5 + 
    1057144*c^5*d^8 + 21826992*c^4*d^3*e^6 - 12637152*c^3*d^9*e + 
    110280984*c^2*d^4*e^7 + 53168808*c*d^10*e^2 - 
    77538648*d^5*e^8)*v^3*y*z + (-54832*a^8*b^5 + 1424880*a*b^10*d^2 - 
    721624*a*b*c*e^10 + 6384*b^9*c^4 + 3573496*b^6*d^7 + 
    3641352*b^2*d^10*e + 22040840*b*c^4*d^6*e^2 + 56165256*b*c^3*d*e^8 
    - 46171088*b*c^2*d^7*e^3 - 40441568*b*c*d^2*e^9 + 
    41449872*b*d^8*e^4 - 7515944*c^12*e - 26356312*c^10*d*e^2 + 
    9638584*c^8*d^2*e^3 + 627304*c^6*d^3*e^4 + 112023864*c^4*d^4*e^5 + 
    8137016*c^3*d^10 - 97781984*c^2*d^5*e^6 + 29281928*c*d^11*e - 
    4128*c*e^12 + 8582464*d^6*e^7)*v^3*z^2 + (4128*a^10*b^3 - 
    721624*a*b^11*d + 55872*a*d*e^11 - 54832*b^8*c^5 - 15002064*b^7*d^6
    + 16501584*b^3*d^9*e - 5313336*b^2*c*d*e^9 + 2146504*b*c^10*e^2 + 
    19972280*b*c^3*d^9 + 13233192*b*c^2*d^4*e^6 - 24705496*b*c*d^10*e -
    14048568*b*d^5*e^7 + 6384*c^9*d^4 - 12456336*c^7*d^5*e + 
    2851872*c^6*e^7 + 10083896*c^5*d^6*e^2 - 2393608*c^4*d*e^8 + 
    26009760*c^3*d^7*e^3 - 7139216*c^2*d^2*e^9 - 28849416*c*d^8*e^4 + 
    7218008*d^3*e^10)*v^2*w^3 + (91832*a^8*b^5 - 1126656*a*b^10*d^2 - 
    3671920*a*b*c*e^10 + 27696*b^9*c^4 - 2478824*b^6*d^7 - 
    14942136*b^2*d^10*e + 86000504*b*c^4*d^6*e^2 - 9946752*b*c^3*d*e^8 
    - 58927904*b*c^2*d^7*e^3 + 35080288*b*c*d^2*e^9 - 
    39393696*b*d^8*e^4 + 430912*c^12*e + 2548592*c^10*d*e^2 - 
    17524688*c^8*d^2*e^3 + 7507744*c^6*d^3*e^4 + 83931696*c^4*d^4*e^5 +
    625544*c^3*d^10 - 30880304*c^2*d^5*e^6 - 16833088*c*d^11*e + 
    7608*c*e^12 - 7107848*d^6*e^7)*v^2*w^2*x + (588060*a*b^12 + 
    1488300*a*b*e^11 - 820380*b^8*d^5 - 733260*b^7*c^6 + 
    24328260*b^4*d^8*e - 74748960*b^2*c*d^9*e - 7448760*b*c^4*e^8 + 
    20872500*b*c^3*d^6*e^3 - 15369420*b*c^2*d*e^9 - 
    62109300*b*c*d^7*e^4 + 8327220*b*d^2*e^10 + 3397680*c^11*e^2 - 
    4530240*c^9*d*e^3 - 6432360*c^7*d^2*e^4 - 13038960*c^5*d^3*e^5 - 
    2090880*c^4*d^9 + 18912300*c^3*d^4*e^6 + 16850460*c^2*d^10*e - 
    21874380*c*d^5*e^7 - 58080*d^11*e^2 + 7260*e^13)*v^2*w^2*y + 
    (264960*a^4*b^9 - 2460284*a*b*d*e^10 + 29696*b^11*c^2 + 
    8307664*b^11*d*e - 17930032*b^4*d^9 - 6367212*b^2*c^10*e + 
    42936708*b^2*c*d^10 - 5811928*b*c^3*d^7*e^2 - 
    69814480*b*c^2*d^2*e^8 + 80007316*b*c*d^8*e^3 + 21494788*b*d^3*e^9 
    + 4852*c^13 - 24155568*c^11*d*e + 24017808*c^9*d^2*e^2 - 
    70710328*c^7*d^3*e^3 + 149853004*c^5*d^4*e^4 - 
    149057756*c^3*d^5*e^5 + 20169260*c^2*d^11 + 50018696*c^2*e^11 + 
    109587164*c*d^6*e^6 - 50058860*d*e^12)*v^2*w^2*z + (372168*a^6*b^7 
    + 1616004*b^12*e + 1605636*b^10*c^3 - 6113124*b^5*d^8 + 
    45624384*b^2*d^2*e^9 - 3726972*b*c^11*e - 253800*b*c^5*d^3*e^4 + 
    55950588*b*c^3*d^4*e^5 + 5799384*b*c^2*d^10 + 33120252*b*c*d^5*e^6 
    + 23460516*b*d^11*e + 1382940*b*e^12 + 89424*c^8*d^5 - 
    16906428*c^7*e^6 - 3182544*c^6*d^6*e - 22464972*c^5*d*e^7 - 
    18437868*c^4*d^7*e^2 + 98722476*c^3*d^2*e^8 + 22609368*c^2*d^8*e^3 
    - 39010572*c*d^3*e^9 + 23532228*d^9*e^4)*v^2*w*x^2 + 
    (30864*a^10*b^3 - 2691860*a*b^11*d + 354528*a*d*e^11 - 
    189752*b^8*c^5 - 23738220*b^7*d^6 + 1291092*b^3*d^9*e - 
    71825772*b^2*c*d*e^9 + 6743552*b*c^10*e^2 + 89843704*b*c^3*d^9 + 
    44469396*b*c^2*d^4*e^6 + 31176700*b*c*d^10*e - 136470264*b*d^5*e^7 
    - 83280*c^9*d^4 - 80617752*c^7*d^5*e + 4102464*c^6*e^7 - 
    5699480*c^5*d^6*e^2 - 101519420*c^4*d*e^8 + 80324364*c^3*d^7*e^3 + 
    115439204*c^2*d^2*e^9 - 65788872*c*d^8*e^4 - 
    39191684*d^3*e^10)*v^2*w*x*y + (3676*a^13 - 1178884*a^2*b^11 - 
    12064*a^2*e^11 + 1830840*b^10*d^2*e - 24042588*b^3*d^10 + 
    1974728*b^2*c*d^2*e^8 + 3960372*b*c^12 - 19232868*b*c^4*d^4*e^4 - 
    74178800*b*c^2*d^5*e^5 + 13899744*b*c*d^11 + 1606852*b*c*e^11 + 
    88669364*b*d^6*e^6 + 25656680*c^8*e^5 - 4283184*c^7*d^6 + 
    33395240*c^6*d*e^6 - 9410780*c^5*d^7*e - 12885508*c^4*d^2*e^7 + 
    23799656*c^3*d^8*e^2 - 112667412*c^2*d^3*e^8 - 6978196*c*d^9*e^3 + 
    86314212*d^4*e^9)*v^2*w*x*z + (296136*a^3*b^10 - 19248*a*c*e^11 + 
    1006888*b^9*d^4 - 104760*b^6*c^7 + 11033904*b^5*d^7*e + 
    25874320*b^2*d*e^10 - 5334064*b*c^9*e^3 + 2708664*b*c^4*d^8 + 
    19768208*b*c^3*d^3*e^6 + 60922992*b*c^2*d^9*e + 
    50076552*b*c*d^4*e^7 - 48750048*b*d^10*e^2 + 41232*c^10*d^3 - 
    9363016*c^8*d^4*e - 8079968*c^6*d^5*e^2 - 13877112*c^5*e^8 - 
    6025288*c^4*d^6*e^3 + 32824640*c^3*d*e^9 + 108223064*c^2*d^7*e^4 - 
    13131192*c*d^2*e^10 - 48448424*d^8*e^5)*v^2*w*y^2 + (336888*a^6*b^7
    - 11265164*b^12*e - 11334308*b^10*c^3 + 28579212*b^5*d^8 + 
    10384560*b^2*d^2*e^9 - 2648948*b*c^11*e + 18831152*b*c^5*d^3*e^4 - 
    114367532*b*c^3*d^4*e^5 - 139610448*b*c^2*d^10 + 
    66536844*b*c*d^5*e^6 + 13198452*b*d^11*e - 696996*b*e^12 + 
    370504*c^8*d^5 - 1097316*c^7*e^6 + 128204744*c^6*d^6*e - 
    4155748*c^5*d*e^7 - 84954284*c^4*d^7*e^2 - 8995604*c^3*d^2*e^8 - 
    64053928*c^2*d^8*e^3 + 2462444*c*d^3*e^9 + 
    13099044*d^9*e^4)*v^2*w*y*z + (27696*a^9*b^4 - 91832*a^2*c*e^10 + 
    430912*b^12*d + 1421936*b^8*d^4*e + 625544*b^3*c^10 - 
    5157448*b^2*c*d^8*e^2 - 66202056*b*c^5*d^4*e^3 + 
    161933928*b*c^3*d^5*e^4 - 16160624*b*c^2*e^10 - 
    61456472*b*c*d^6*e^5 + 4208904*b*d^12 + 15033968*b*d*e^11 - 
    14284496*c^9*e^4 - 57958400*c^7*d*e^5 + 510624*c^6*d^7 + 
    11723752*c^5*d^2*e^6 - 13712808*c^4*d^8*e + 136602560*c^3*d^3*e^7 +
    42095760*c^2*d^9*e^2 - 79688896*c*d^4*e^8 + 
    4201296*d^10*e^3)*v^2*w*z^2 + (197856*a^4*b^9 - 4088604*a*b*d*e^10 
    + 8640*b^11*c^2 + 336900*b^11*d*e - 6047100*b^4*d^9 + 
    831708*b^2*c^10*e + 7450164*b^2*c*d^10 + 25487532*b*c^3*d^7*e^2 - 
    12668616*b*c^2*d^2*e^8 - 3427836*b*c*d^8*e^3 + 19227576*b*d^3*e^9 -
    1104*c^13 - 6046272*c^11*d*e - 852372*c^9*d^2*e^2 - 
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    4773636*b^2*c^10*e - 10856844*b^2*c*d^10 + 23974564*b*c^3*d^7*e^2 -
    77417624*b*c^2*d^2*e^8 - 35139052*b*c*d^8*e^3 + 59879240*b*d^3*e^9 
    - 4288*c^13 + 4503384*c^11*d*e + 9698988*c^9*d^2*e^2 - 
    34668824*c^7*d^3*e^3 + 44781932*c^5*d^4*e^4 - 60036748*c^3*d^5*e^5 
    - 4205672*c^2*d^11 + 23886064*c^2*e^11 + 63505804*c*d^6*e^6 - 
    24137332*d*e^12)*w^3*x*z + (391688*a^5*b^8 + 9152*a^2*d*e^10 + 
    7457472*b^10*d^3 + 16654352*b^6*d^6*e - 173800*b^5*c^8 + 
    5230808*b^2*d^9*e^2 + 42306528*b*c^4*d^5*e^3 + 4140224*b*c^3*e^9 - 
    52767704*b*c^2*d^6*e^4 - 1615328*b*c*d*e^10 + 42617520*b*d^7*e^5 + 
    240768*c^10*e^3 - 1832512*c^8*d*e^4 + 7021256*c^6*d^2*e^5 - 
    279136*c^5*d^8 + 20362848*c^4*d^3*e^6 + 7379856*c^3*d^9*e - 
    79386648*c^2*d^4*e^7 - 21249624*c*d^10*e^2 + 
    58878336*d^5*e^8)*w^3*y^2 + (66864*a^8*b^5 - 4128552*a*b^10*d^2 + 
    1553856*a*b*c*e^10 - 52704*b^9*c^4 - 18260544*b^6*d^7 - 
    5653296*b^2*d^10*e - 35486688*b*c^4*d^6*e^2 + 3768960*b*c^3*d*e^8 +
    77731728*b*c^2*d^7*e^3 - 16872552*b*c*d^2*e^9 - 59930592*b*d^8*e^4 
    + 638448*c^12*e + 6648744*c^10*d*e^2 + 4763856*c^8*d^2*e^3 - 
    21606120*c^6*d^3*e^4 - 36265248*c^4*d^4*e^5 - 1469760*c^3*d^10 + 
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    56862696*d^6*e^7)*w^3*y*z + (8640*a^11*b^2 + 1168608*a^2*b^10*d - 
    1104*b^13 - 5907228*b^9*d^3*e - 332568*b^2*c^11 + 7930500*b^2*d^11 
    - 336900*b^2*e^11 - 214620*b*c^7*e^5 - 35520948*b*c^3*d^2*e^7 + 
    22368108*b*c^2*d^8*e^2 + 22300116*b*c*d^3*e^8 - 2321748*b*d^9*e^3 +
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    44447400*c^4*d^5*e^4 + 6516696*c^3*e^10 + 47631072*c^2*d^6*e^5 - 
    11946528*c*d^12 - 6714552*c*d*e^11 + 1845036*d^7*e^6)*w^3*z^2 + 
    (55872*a^6*b^7 + 537056*b^12*e + 541184*b^10*c^3 + 5257464*b^5*d^8 
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    30527216*b*c^3*d^4*e^5 - 8450160*b*c^2*d^10 + 7582608*b*c*d^5*e^6 -
    6975816*b*d^11*e + 621072*b*e^12 - 54832*c^8*d^5 - 15002064*c^7*e^6
    + 10596664*c^6*d^6*e + 16641472*c^5*d*e^7 - 6472720*c^4*d^7*e^2 + 
    12068504*c^3*d^2*e^8 + 9133360*c^2*d^8*e^3 - 8496512*c*d^3*e^9 - 
    6969432*d^9*e^4)*w^2*x^3 + (-7608*a^10*b^3 - 3671920*a*b^11*d + 
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    13764960*b^3*d^9*e - 28893576*b^2*c*d*e^9 + 2545264*b*c^10*e^2 - 
    19517464*b*c^3*d^9 + 134878032*b*c^2*d^4*e^6 + 60191000*b*c*d^10*e 
    - 126158832*b*d^5*e^7 + 27696*c^9*d^4 + 19086552*c^7*d^5*e - 
    6150744*c^6*e^7 - 80400880*c^5*d^6*e^2 - 47507632*c^4*d*e^8 + 
    93976632*c^3*d^7*e^3 + 14451688*c^2*d^2*e^9 - 109004664*c*d^8*e^4 +
    30328328*d^3*e^10)*w^2*x^2*y + (7260*a^13 + 1488300*a^2*b^11 - 
    58080*a^2*e^11 - 13002660*b^10*d^2*e + 9075000*b^3*d^10 + 
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    64178400*b*c^2*d^5*e^5 + 14287680*b*c*d^11 + 1662540*b*c*e^11 - 
    24190320*b*d^6*e^6 + 12182280*c^8*e^5 + 755040*c^7*d^6 + 
    2962080*c^6*d*e^6 - 10890000*c^5*d^7*e - 52518840*c^4*d^2*e^7 - 
    2591820*c^3*d^8*e^2 + 82415520*c^2*d^3*e^8 + 31450320*c*d^9*e^3 - 
    34368840*d^4*e^9)*w^2*x^2*z + (1382940*a^3*b^10 - 71712*a*c*e^11 - 
    18957564*b^9*d^4 + 372168*b^6*c^7 - 45624384*b^5*d^7*e + 
    24334020*b^2*d*e^10 - 233064*b*c^9*e^3 + 26581068*b*c^4*d^8 + 
    53498448*b*c^3*d^3*e^6 + 61503192*b*c^2*d^9*e + 1600668*b*c*d^4*e^7
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    55555524*c^6*d^5*e^2 - 6113124*c^5*e^8 + 34546932*c^4*d^6*e^3 + 
    24759864*c^3*d*e^9 + 5715792*c^2*d^7*e^4 - 13680468*c*d^2*e^10 + 
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    21138572*b^10*c^3 + 71471244*b^5*d^8 - 9898800*b^2*d^2*e^9 - 
    2691860*b*c^11*e - 79584856*b*c^5*d^3*e^4 - 1682204*b*c^3*d^4*e^5 -
    145034880*b*c^2*d^10 + 2382996*b*c*d^5*e^6 - 46610292*b*d^11*e - 
    978084*b*e^12 - 189752*c^8*d^5 - 23738220*c^7*e^6 + 
    151778432*c^6*d^6*e + 21836972*c^5*d*e^7 - 109270604*c^4*d^7*e^2 + 
    59191420*c^3*d^2*e^8 + 18951728*c^2*d^8*e^3 - 71985700*c*d^3*e^9 - 
    46693572*d^9*e^4)*w^2*x*y*z + (19248*a^9*b^4 - 301624*a^2*c*e^10 + 
    5816336*b^12*d + 25874320*b^8*d^4*e - 5520200*b^3*c^10 - 
    6232544*b^2*c*d^8*e^2 + 50084928*b*c^5*d^4*e^3 - 
    44749824*b*c^3*d^5*e^4 - 5987560*b*c^2*e^10 + 22763048*b*c*d^6*e^5 
    - 6180552*b*d^12 + 4920304*b*d*e^11 - 4809448*c^9*e^4 + 
    5046344*c^7*d*e^5 - 104760*c^6*d^7 - 12607456*c^5*d^2*e^6 + 
    17330952*c^4*d^8*e - 50462648*c^3*d^3*e^7 - 31208064*c^2*d^9*e^2 + 
    58469608*c*d^4*e^8 - 6139320*d^10*e^3)*w^2*x*z^2 + (150756*a^7*b^6 
    - 4088604*b^11*d^2 - 15444000*b^7*d^5*e + 197856*b^4*c^9 + 
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    11846424*b*c^3*d^8*e + 35246844*b*c^2*d^3*e^7 + 2899440*b*c*d^9*e^2
    - 25186380*b*d^4*e^8 + 8640*c^11*d^2 - 1168608*c^9*d^3*e - 
    4968444*c^7*d^4*e^2 - 12739476*c^5*d^5*e^3 - 17104272*c^4*e^9 + 
    25356156*c^3*d^6*e^4 + 10556304*c^2*d*e^10 - 24728076*c*d^7*e^5 - 
    1104*d^13 + 6325932*d^2*e^11)*w^2*y^3 + (41232*a^10*b^3 + 
    6654352*a*b^11*d - 104760*a*d*e^11 + 301624*b^8*c^5 + 
    43480008*b^7*d^6 + 18159768*b^3*d^9*e + 13981872*b^2*c*d*e^9 - 
    7721608*b*c^10*e^2 - 126018320*b*c^3*d^9 + 20845080*b*c^2*d^4*e^6 -
    74669792*b*c*d^10*e + 20999520*b*d^5*e^7 + 19248*c^9*d^4 + 
    120201984*c^7*d^5*e + 3358008*c^6*e^7 - 11936264*c^5*d^6*e^2 + 
    16017544*c^4*d*e^8 - 36373104*c^3*d^7*e^3 - 38190352*c^2*d^2*e^9 - 
    59659368*c*d^8*e^4 + 24445000*d^3*e^10)*w^2*y^2*z + (2408*a^13 - 
    2888912*a^2*b^11 + 28384*a^2*e^11 + 32894004*b^10*d^2*e - 
    36209196*b^3*d^10 - 1939700*b^2*c*d^2*e^8 + 3672516*b*c^12 + 
    161748348*b*c^4*d^4*e^4 - 162043336*b*c^2*d^5*e^5 + 
    3667152*b*c*d^11 + 244808*b*c*e^11 + 73971748*b*d^6*e^6 - 
    30215072*c^8*e^5 - 3632352*c^7*d^6 + 67023424*c^6*d*e^6 - 
    8321668*c^5*d^7*e + 30166828*c^4*d^2*e^7 + 54304156*c^3*d^8*e^2 - 
    214414860*c^2*d^3*e^8 - 105456860*c*d^9*e^3 + 
    146621604*d^4*e^9)*w^2*y*z^2 + (-279136*a^5*b^8 - 173800*a^2*d*e^10
    - 7379856*b^10*d^3 - 13802800*b^6*d^6*e + 242000*b^5*c^8 - 
    3927880*b^2*d^9*e^2 - 7072296*b*c^4*d^5*e^3 - 11662552*b*c^3*e^9 + 
    29615344*b*c^2*d^6*e^4 + 11903320*b*c*d*e^10 - 41294880*b*d^7*e^5 +
    969408*c^10*e^3 - 1650352*c^8*d*e^4 - 16253248*c^6*d^2*e^5 + 
    9152*c^5*d^8 + 9527496*c^4*d^3*e^6 - 2524896*c^3*d^9*e + 
    50388888*c^2*d^4*e^7 + 4063488*c*d^10*e^2 - 
    41038800*d^5*e^8)*w^2*z^3 + (199656*a^4*b^9 - 2351452*a*b*d*e^10 + 
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    446676*b^2*c^10*e + 2138556*b^2*c*d^10 - 10285376*b*c^3*d^7*e^2 + 
    28723576*b*c^2*d^2*e^8 + 2017628*b*c*d^8*e^3 - 12031060*b*d^3*e^9 +
    2972*c^13 - 2640456*c^11*d*e + 2330088*c^9*d^2*e^2 + 
    11330536*c^7*d^3*e^3 - 2204788*c^5*d^4*e^4 + 13666772*c^3*d^5*e^5 +
    2422708*c^2*d^11 - 4878056*c^2*e^11 - 14756996*c*d^6*e^6 + 
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    4878580*a*b*c*e^10 - 3504*b^9*c^4 + 1714340*b^6*d^7 - 
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    + 3912848*b*c^2*d^7*e^3 - 20913340*b*c*d^2*e^9 - 17812116*b*d^8*e^4
    + 3039272*c^12*e + 10479376*c^10*d*e^2 + 1573436*c^8*d^2*e^3 - 
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    15757600*c^2*d^5*e^6 - 4126388*c*d^11*e - 40800*c*e^12 - 
    2310748*d^6*e^7)*w*x^3*y + (10480*a^11*b^2 - 484588*a^2*b^10*d + 
    1868*b^13 + 108500*b^9*d^3*e - 550316*b^2*c^11 + 6401860*b^2*d^11 +
    5007820*b^2*e^11 - 9914008*b*c^7*e^5 + 37311972*b*c^3*d^2*e^7 + 
    24029656*b*c^2*d^8*e^2 + 6631324*b*c*d^3*e^8 + 15149156*b*d^9*e^3 +
    3099560*c^10*d^2*e - 4496008*c^8*d^3*e^2 - 10547148*c^6*d^4*e^3 + 
    533496*c^4*d^5*e^4 - 11967852*c^3*e^10 + 23571204*c^2*d^6*e^5 - 
    2618264*c*d^12 + 12877140*c*d*e^11 + 11119848*d^7*e^6)*w*x^3*z + 
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    3242300*b^7*c^6 + 31150548*b^4*d^8*e - 32011988*b^2*c*d^9*e + 
    63190988*b*c^4*e^8 - 107127236*b*c^3*d^6*e^3 - 88561592*b*c^2*d*e^9
    + 102159472*b*c*d^7*e^4 + 65788648*b*d^2*e^10 - 2460284*c^11*e^2 + 
    60709968*c^9*d*e^3 - 17194272*c^7*d^2*e^4 + 84209628*c^5*d^3*e^5 + 
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    10439988*b^2*c*d^10 + 53507936*b*c^3*d^7*e^2 - 
    202145656*b*c^2*d^2*e^8 - 36270116*b*c*d^8*e^3 + 93324124*b*d^3*e^9
    + 3676*c^13 - 31717944*c^11*d*e + 56703000*c^9*d^2*e^2 - 
    158596936*c^7*d^3*e^3 + 286303036*c^5*d^4*e^4 - 
    262031948*c^3*d^5*e^5 + 30539060*c^2*d^11 + 90395672*c^2*e^11 + 
    150100268*c*d^6*e^6 - 90718484*d*e^12)*w*x^2*y*z + (40164*a^7*b^6 -
    4654516*b^11*d^2 - 6100776*b^7*d^5*e - 264960*b^4*c^9 - 
    515700*b^3*d^8*e^2 + 2678932*b^2*c*e^10 + 4402640*b*c^8*e^4 + 
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    15539344*b*c*d^9*e^2 + 57693540*b*d^4*e^8 + 28384*c^11*d^2 - 
    244808*c^9*d^3*e - 37373844*c^7*d^4*e^2 + 55406004*c^5*d^5*e^3 - 
    8744928*c^4*e^9 - 55506580*c^3*d^6*e^4 + 42764392*c^2*d*e^10 + 
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    (1057144*a^5*b^8 - 711392*a^2*d*e^10 + 12637152*b^10*d^3 + 
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    5763912*b*c^4*d^5*e^3 - 9138272*b*c^3*e^9 - 41848840*b*c^2*d^6*e^4 
    - 3113968*b*c*d*e^10 + 68919048*b*d^7*e^5 + 4131072*c^10*e^3 - 
    17526080*c^8*d*e^4 + 6740800*c^6*d^2*e^5 - 68288*c^5*d^8 - 
    26839824*c^4*d^3*e^6 + 4259376*c^3*d^9*e - 76579536*c^2*d^4*e^7 - 
    13617384*c*d^10*e^2 + 67927992*d^5*e^8)*w*x*y^3 + (370504*a^8*b^5 -
    14054652*a*b^10*d^2 - 2648948*a*b*c*e^10 - 99408*b^9*c^4 - 
    53799964*b^6*d^7 - 49925436*b^2*d^10*e + 40813540*b*c^4*d^6*e^2 - 
    30117132*b*c^3*d*e^8 + 132217568*b*c^2*d^7*e^3 + 
    33863396*b*c*d^2*e^9 - 256925268*b*d^8*e^4 + 6015536*c^12*e + 
    34472296*c^10*d*e^2 - 20049532*c^8*d^2*e^3 - 46784968*c^6*d^3*e^4 +
    7228068*c^4*d^4*e^5 - 6712532*c^3*d^10 + 215259152*c^2*d^5*e^6 - 
    29398604*c*d^11*e + 69144*c*e^12 - 177264340*d^6*e^7)*w*x*y^2*z + 
    (40448*a^11*b^2 + 7175716*a^2*b^10*d - 1268*b^13 - 
    50237996*b^9*d^3*e - 2958748*b^2*c^11 + 66522092*b^2*d^11 - 
    407236*b^2*e^11 - 10253168*b*c^7*e^5 - 371003004*b*c^3*d^2*e^7 + 
    359275040*b*c^2*d^8*e^2 + 273266636*b*c*d^3*e^8 - 
    84332204*b*d^9*e^3 + 197248648*c^10*d^2*e - 259595072*c^8*d^3*e^2 +
    175845324*c^6*d^4*e^3 - 747522936*c^4*d^5*e^4 + 92108172*c^3*e^10 +
    734136228*c^2*d^6*e^5 - 193601584*c*d^12 - 91556436*c*d*e^11 + 
    42631104*d^7*e^6)*w*x*y*z^2 + (-831312*a^3*b^10 + 52704*a*c*e^11 + 
    9646152*b^9*d^4 - 226440*b^6*c^7 + 20719680*b^5*d^7*e + 
    2520192*b^2*d*e^10 - 3033936*b*c^9*e^3 - 42108624*b*c^4*d^8 + 
    19209000*b*c^3*d^3*e^6 - 41021808*b*c^2*d^9*e - 7777608*b*c*d^4*e^7
    - 17821296*b*d^10*e^2 - 18936*c^10*d^3 + 40554768*c^8*d^4*e + 
    12016776*c^6*d^5*e^2 - 8460336*c^5*e^8 - 10863888*c^4*d^6*e^3 + 
    15818256*c^3*d*e^9 - 28009008*c^2*d^7*e^4 - 6719472*c*d^2*e^10 - 
    17754432*d^8*e^5)*w*x*z^3 + (6384*a^9*b^4 + 25792*a^2*c*e^10 + 
    2938456*b^12*d + 8609768*b^8*d^4*e - 3101464*b^3*c^10 - 
    11784280*b^2*c*d^8*e^2 + 20239224*b*c^5*d^4*e^3 + 
    5052648*b*c^3*d^5*e^4 + 474664*b*c^2*e^10 - 12067880*b*c*d^6*e^5 - 
    9330192*b*d^12 + 340376*b*d*e^11 - 3608384*c^9*e^4 - 2696*c^7*d*e^5
    + 55872*c^6*d^7 + 14010400*c^5*d^2*e^6 + 10529352*c^4*d^8*e - 
    13803472*c^3*d^3*e^7 - 7333728*c^2*d^9*e^2 + 8112128*c*d^4*e^8 - 
    9326064*d^10*e^3)*w*y^4 + (-4181204*a*b^12 + 297712*a*b*e^11 - 
    18990428*b^8*d^5 + 3929936*b^7*c^6 - 37578024*b^4*d^8*e + 
    46684028*b^2*c*d^9*e - 35837972*b*c^4*e^8 + 61502504*b*c^3*d^6*e^3 
    + 62769788*b*c^2*d*e^9 - 45796636*b*c*d^7*e^4 - 28657636*b*d^2*e^10
    - 1698052*c^11*e^2 - 36557664*c^9*d*e^3 + 30657096*c^7*d^2*e^4 - 
    48201324*c^5*d^3*e^5 + 199656*c^4*d^9 + 134375708*c^3*d^4*e^6 - 
    2983288*c^2*d^10*e - 80484692*c*d^5*e^7 + 1840*d^11*e^2 - 
    4288*e^13)*w*y^3*z + (-2090880*a^4*b^9 + 3397680*a*b*d*e^10 - 
    58080*b^11*c^2 - 20248140*b^11*d*e + 55633380*b^4*d^9 + 
    21910680*b^2*c^10*e - 26658720*b^2*c*d^10 - 105277260*b*c^3*d^7*e^2
    + 55437360*b*c^2*d^2*e^8 + 119906160*b*c*d^8*e^3 - 
    42202380*b*d^3*e^9 + 7260*c^13 + 9147600*c^11*d*e - 
    17402220*c^9*d^2*e^2 + 71612640*c^7*d^3*e^3 - 117568440*c^5*d^4*e^4
    - 25337400*c^3*d^5*e^5 - 7659300*c^2*d^11 - 20284440*c^2*e^11 + 
    36837240*c*d^6*e^6 + 20139240*d*e^12)*w*y^2*z^2 + (-245712*a^7*b^6 
    + 10795184*b^11*d^2 + 46236564*b^7*d^5*e - 909288*b^4*c^9 - 
    18221496*b^3*d^8*e^2 - 5005412*b^2*c*e^10 - 5787364*b*c^8*e^4 + 
    46288548*b*c^3*d^8*e - 161464256*b*c^2*d^3*e^7 - 
    39420736*b*c*d^9*e^2 + 100029936*b*d^4*e^8 + 10480*c^11*d^2 + 
    484588*c^9*d^3*e - 45972348*c^7*d^4*e^2 + 78675024*c^5*d^5*e^3 + 
    27721464*c^4*e^9 - 61725328*c^3*d^6*e^4 + 7221016*c^2*d*e^10 + 
    76848888*c*d^7*e^5 + 1868*d^13 - 35011500*d^2*e^11)*w*y*z^3 + 
    (-5088*a^10*b^3 - 1476988*a*b^11*d + 54576*a*d*e^11 - 59560*b^8*c^5
    - 9045036*b^7*d^6 - 6151596*b^3*d^9*e + 213852*b^2*c*d*e^9 + 
    2429224*b*c^10*e^2 + 16833392*b*c^3*d^9 - 6742020*b*c^2*d^4*e^6 + 
    21184772*b*c*d^10*e + 1021824*b*d^5*e^7 + 15744*c^9*d^4 - 
    16541400*c^7*d^5*e + 3416928*c^6*e^7 - 8164768*c^5*d^6*e^2 + 
    2678780*c^4*d*e^8 + 11976060*c^3*d^7*e^3 - 14505884*c^2*d^2*e^9 + 
    8067360*c*d^8*e^4 + 8190500*d^3*e^10)*w*z^4 + (7260*a^13 - 
    79860*a^2*b^11 + 413820*b^10*d^2*e - 1001880*b^3*d^10 - 
    4537500*b^2*c*d^2*e^8 + 667920*b*c^12 - 1176120*b*c^4*d^4*e^4 - 
    1829520*b*c^2*d^5*e^5 - 667920*b*c*d^11 + 7260*b*c*e^11 + 
    464640*b*d^6*e^6 + 2134440*c^8*e^5 - 667920*c^7*d^6 + 
    4007520*c^6*d*e^6 + 667920*c^5*d^7*e - 3993000*c^4*d^2*e^7 + 
    1589940*c^3*d^8*e^2 + 1132560*c^2*d^3*e^8 - 2468400*c*d^9*e^3 + 
    1263240*d^4*e^9)*x^5 + (87120*a^6*b^7 - 667920*b^12*e - 
    667920*b^10*c^3 + 2352240*b^5*d^8 - 3630000*b^2*d^2*e^9 - 
    784080*b*c^11*e - 10425360*b*c^5*d^3*e^4 - 8595840*b*c^3*d^4*e^5 - 
    4297920*b*c^2*d^10 - 9815520*b*c*d^5*e^6 + 1829520*b*d^11*e - 
    784080*c^7*e^6 + 5082000*c^6*d^6*e - 290400*c^5*d*e^7 - 
    10047840*c^4*d^7*e^2 + 1335840*c^3*d^2*e^8 + 2991120*c^2*d^8*e^3 - 
    11151360*c*d^3*e^9 + 1829520*d^9*e^4)*x^4*y + (15744*a^9*b^4 + 
    59560*a^2*c*e^10 - 291992*b^12*d - 1092172*b^8*d^4*e + 
    494852*b^3*c^10 - 699112*b^2*c*d^8*e^2 + 4940508*b*c^5*d^4*e^3 + 
    10010976*b*c^3*d^5*e^4 + 4953712*b*c^2*e^10 - 461780*b*c*d^6*e^5 - 
    1295244*b*d^12 - 4001476*b*d*e^11 - 3015740*c^9*e^4 - 
    2732288*c^7*d*e^5 + 54576*c^6*d^7 + 6601084*c^5*d^2*e^6 + 
    580716*c^4*d^8*e + 6431108*c^3*d^3*e^7 - 849144*c^2*d^9*e^2 - 
    1438012*c*d^4*e^8 - 1300332*d^10*e^3)*x^4*z + (87120*a^10*b^3 + 
    421080*a*b^11*d + 1785960*b^7*d^6 + 2715240*b^3*d^9*e + 
    23595000*b^2*c*d*e^9 + 2323200*b*c^10*e^2 + 12254880*b*c^3*d^9 - 
    14824920*b*c^2*d^4*e^6 + 2482920*b*c*d^10*e + 34063920*b*d^5*e^7 - 
    12254880*c^7*d^5*e + 5778960*c^6*e^7 + 18033840*c^5*d^6*e^2 + 
    29548200*c^4*d*e^8 - 14186040*c^3*d^7*e^3 - 10381800*c^2*d^2*e^9 + 
    50820000*c*d^8*e^4 - 11514360*d^3*e^10)*x^3*y^2 + (4888*a^13 + 
    26504*a^2*b^11 - 8992*a^2*e^11 - 1595748*b^10*d^2*e + 
    3122244*b^3*d^10 - 23390428*b^2*c*d^2*e^8 + 2073276*b*c^12 - 
    38138508*b*c^4*d^4*e^4 - 25797536*b*c^2*d^5*e^5 - 13406952*b*c*d^11
    - 1231616*b*c*e^11 + 11567012*b*d^6*e^6 + 18345656*c^8*e^5 - 
    2038704*c^7*d^6 + 9420200*c^6*d*e^6 + 11340748*c^5*d^7*e - 
    28165276*c^4*d^2*e^7 - 2517436*c^3*d^8*e^2 - 6620724*c^2*d^3*e^8 - 
    1364428*c*d^9*e^3 + 3251172*d^4*e^9)*x^3*y*z + (9152*a^5*b^8 + 
    242000*a^2*d*e^10 + 2524896*b^10*d^3 + 2750000*b^6*d^6*e + 
    391688*b^5*c^8 + 1615328*b^2*d^9*e^2 - 11343552*b*c^4*d^5*e^3 - 
    3397240*b*c^3*e^9 - 33013640*b*c^2*d^6*e^4 + 4366648*b*c*d*e^10 + 
    14296392*b*d^7*e^5 + 7457472*c^10*e^3 + 10723064*c^8*d*e^4 + 
    27895208*c^6*d^2*e^5 - 173800*c^5*d^8 - 36868656*c^4*d^3*e^6 - 
    240768*c^3*d^9*e - 23776368*c^2*d^4*e^7 - 5731968*c*d^10*e^2 + 
    18133896*d^5*e^8)*x^3*z^2 + (621072*a^3*b^10 - 6384*a*c*e^11 - 
    4590328*b^9*d^4 + 55872*b^6*c^7 - 11890080*b^5*d^7*e - 
    24931432*b^2*d*e^10 + 84016*b*c^9*e^3 + 9946416*b*c^4*d^8 - 
    29484968*b*c^3*d^3*e^6 + 14111112*b*c^2*d^9*e - 
    29942304*b*c*d^4*e^7 + 8312184*b*d^10*e^2 + 4128*c^10*d^3 - 
    9224792*c^8*d^4*e - 19888384*c^6*d^5*e^2 + 5257464*c^5*e^8 + 
    10658416*c^4*d^6*e^3 - 38354408*c^3*d*e^9 - 26945960*c^2*d^7*e^4 + 
    25581000*c*d^2*e^10 + 8257352*d^8*e^5)*x^2*y^3 + (510624*a^6*b^7 - 
    8878360*b^12*e - 8885968*b^10*c^3 + 28382952*b^5*d^8 + 
    41797776*b^2*d^2*e^9 - 3671920*b*c^11*e - 30919352*b*c^5*d^3*e^4 + 
    24411104*b*c^3*d^4*e^5 - 77396856*b*c^2*d^10 + 53441784*b*c*d^5*e^6
    + 3329112*b*d^11*e + 1056456*b*e^12 + 91832*c^8*d^5 - 
    21461616*c^7*e^6 + 79942120*c^6*d^6*e - 3319520*c^5*d*e^7 - 
    77120488*c^4*d^7*e^2 + 102953528*c^3*d^2*e^8 + 26518000*c^2*d^8*e^3
    - 63262352*c*d^3*e^9 + 3356808*d^9*e^4)*x^2*y^2*z + (71712*a^9*b^4 
    - 89424*a^2*c*e^10 + 4966272*b^12*d + 24334020*b^8*d^4*e - 
    3583332*b^3*c^10 - 20607264*b^2*c*d^8*e^2 + 50400252*b*c^5*d^4*e^3 
    + 64933272*b*c^3*d^5*e^4 - 190944*b*c^2*e^10 - 24310044*b*c*d^6*e^5
    - 8727372*b*d^12 - 919188*b*d*e^11 - 23923836*c^9*e^4 - 
    45815328*c^7*d*e^5 + 372168*c^6*d^7 + 41795892*c^5*d^2*e^6 + 
    13926708*c^4*d^8*e + 9575172*c^3*d^3*e^7 - 20039832*c^2*d^9*e^2 + 
    19144836*c*d^4*e^8 - 8737740*d^10*e^3)*x^2*y*z^2 + (-222036*a*b^12 
    - 332568*a*b*e^11 - 2879964*b^8*d^5 + 372792*b^7*c^6 - 
    3636072*b^4*d^8*e + 12363900*b^2*c*d^9*e + 13330668*b*c^4*e^8 + 
    13286928*b*c^3*d^6*e^3 - 6831492*b*c^2*d*e^9 + 7877244*b*c*d^7*e^4 
    - 4783380*b*d^2*e^10 - 4088604*c^11*e^2 - 1891296*c^9*d*e^3 - 
    4837992*c^7*d^2*e^4 + 6503388*c^5*d^3*e^5 + 197856*c^4*d^9 + 
    14712204*c^3*d^4*e^6 + 3751704*c^2*d^10*e - 10554276*c*d^5*e^7 + 
    8640*d^11*e^2 - 1104*e^13)*x^2*z^3 + (140772*a^7*b^6 - 
    2351452*b^11*d^2 - 9322236*b^7*d^5*e + 199656*b^4*c^9 + 
    1562700*b^3*d^8*e^2 + 7298032*b^2*c*e^10 + 1989812*b*c^8*e^4 + 
    2091564*b*c^3*d^8*e + 23107180*b*c^2*d^3*e^7 + 4579424*b*c*d^9*e^2 
    - 1238364*b*d^4*e^8 + 1840*c^11*d^2 + 85036*c^9*d^3*e + 
    102216*c^7*d^4*e^2 + 2973180*c^5*d^5*e^3 - 825144*c^4*e^9 + 
    5164076*c^3*d^6*e^4 + 4795912*c^2*d*e^10 + 7240524*c*d^7*e^5 + 
    2972*d^13 - 2554512*d^2*e^11)*x*y^4 + (40800*a^10*b^3 + 
    4878580*a*b^11*d - 14904*a*d*e^11 + 190576*b^8*c^5 + 
    32416956*b^7*d^6 + 14631276*b^3*d^9*e - 4097700*b^2*c*d*e^9 - 
    4514368*b*c^10*e^2 - 85635008*b*c^3*d^9 + 15508260*b*c^2*d^4*e^6 - 
    58086476*b*c*d^10*e - 6183696*b*d^5*e^7 - 3504*c^9*d^4 + 
    82595736*c^7*d^5*e + 6592920*c^6*e^7 - 9151304*c^5*d^6*e^2 - 
    10609004*c^4*d*e^8 - 16758516*c^3*d^7*e^3 - 7446412*c^2*d^2*e^9 - 
    60978552*c*d^8*e^4 + 11246380*d^3*e^10)*x*y^3*z + (4852*a^13 - 
    3986308*a^2*b^11 + 29696*a^2*e^11 + 36431736*b^10*d^2*e - 
    52783884*b^3*d^10 + 1845320*b^2*c*d^2*e^8 + 7188444*b*c^12 + 
    162788172*b*c^4*d^4*e^4 - 228254264*b*c^2*d^5*e^5 + 
    6583968*b*c*d^11 + 1940452*b*c*e^11 + 139501292*b*d^6*e^6 - 
    15479368*c^8*e^5 - 7228608*c^7*d^6 + 97981856*c^6*d*e^6 - 
    9044252*c^5*d^7*e + 31383452*c^4*d^2*e^7 + 68295464*c^3*d^8*e^2 - 
    304762260*c^2*d^3*e^8 - 115363300*c*d^9*e^3 + 
    208929636*d^4*e^9)*x*y^2*z^2 + (-711392*a^5*b^8 + 81400*a^2*d*e^10 
    - 12252240*b^10*d^3 - 29181944*b^6*d^6*e + 1057144*b^5*c^8 + 
    3113968*b^2*d^9*e^2 - 42954384*b*c^4*d^5*e^3 - 19558616*b*c^3*e^9 -
    2612368*b*c^2*d^6*e^4 + 19347944*b*c*d*e^10 - 45540792*b*d^7*e^5 + 
    12637152*c^10*e^3 + 20973040*c^8*d*e^4 + 18254104*c^6*d^2*e^5 - 
    356576*c^5*d^8 - 59825832*c^4*d^3*e^6 - 4131072*c^3*d^9*e + 
    54307968*c^2*d^4*e^7 - 4256736*c*d^10*e^2 - 
    44466312*d^5*e^8)*x*y*z^3 + (-25792*a^8*b^5 + 815040*a*b^10*d^2 - 
    721624*a*b*c*e^10 + 6384*b^9*c^4 + 3892936*b^6*d^7 - 
    366168*b^2*d^10*e + 7666040*b*c^4*d^6*e^2 - 29038104*b*c^3*d*e^8 + 
    4184272*b*c^2*d^7*e^3 + 29951392*b*c*d^2*e^9 - 6669408*b*d^8*e^4 + 
    2938456*c^12*e + 7794728*c^10*d*e^2 - 11008856*c^8*d^2*e^3 + 
    7277464*c^6*d^3*e^4 - 30301176*c^4*d^4*e^5 - 3101464*c^3*d^10 + 
    31446016*c^2*d^5*e^6 - 11403112*c*d^11*e - 4128*c*e^12 + 
    5155744*d^6*e^7)*x*z^4 + (7260*a^2*b^10*d + 7260*b^13 - 
    4537500*b^9*d^3*e - 79860*b^2*c^11 - 4537500*b^2*d^11 + 
    7260*b^2*e^11 - 406560*b*c^7*e^5 - 2722500*b*c^3*d^2*e^7 + 
    11049720*b*c^2*d^8*e^2 + 2359500*b*c*d^3*e^8 - 12857460*b*d^9*e^3 +
    6258120*c^10*d^2*e - 4268880*c^8*d^3*e^2 + 660660*c^6*d^4*e^3 - 
    12980880*c^4*d^5*e^4 + 718740*c^3*e^10 + 14120700*c^2*d^6*e^5 - 
    5590200*c*d^12 - 718740*c*d*e^11 - 2729760*d^7*e^6)*y^5 + 
    (10890000*b^9*d^4 + 87120*b^6*c^7 + 3630000*b^5*d^7*e - 
    116160*b^2*d*e^10 + 667920*b*c^9*e^3 + 30317760*b*c^4*d^8 - 
    51575040*b*c^3*d^3*e^6 - 8712000*b*c^2*d^9*e + 33947760*b*c*d^4*e^7
    - 8712000*b*d^10*e^2 - 29533680*c^8*d^4*e + 37461600*c^6*d^5*e^2 + 
    2352240*c^5*e^8 - 26891040*c^4*d^6*e^3 + 12603360*c^3*d*e^9 + 
    43908480*c^2*d^7*e^4 - 14926560*c*d^2*e^10 - 8712000*d^8*e^5)*y^4*z
    + (13431000*b^12*e + 13518120*b^10*c^3 - 23595000*b^5*d^8 - 
    755040*b^2*d^2*e^9 + 421080*b*c^11*e + 33744480*b*c^5*d^3*e^4 + 
    49876200*b*c^3*d^4*e^5 + 70828560*b*c^2*d^10 - 61724520*b*c*d^5*e^6
    - 130680*b*d^11*e + 43560*b*e^12 + 1785960*c^7*e^6 - 
    68505360*c^6*d^6*e - 10672200*c^5*d*e^7 + 62857080*c^4*d^7*e^2 - 
    2395800*c^3*d^2*e^8 - 25206720*c^2*d^8*e^3 + 11514360*c*d^3*e^9 - 
    130680*d^9*e^4)*y^3*z^2 + (6384*a^9*b^4 + 54832*a^2*c*e^10 - 
    7515944*b^12*d - 24931432*b^8*d^4*e + 8137016*b^3*c^10 + 
    30672200*b^2*c*d^8*e^2 - 72514536*b*c^5*d^4*e^3 + 
    49367688*b*c^3*d^5*e^4 + 5121064*b*c^2*e^10 + 10467160*b*c*d^6*e^5 
    + 22294368*b*d^12 - 3696184*b*d*e^11 + 2925616*c^9*e^4 - 
    6769016*c^7*d*e^5 + 55872*c^6*d^7 - 27139280*c^5*d^2*e^6 - 
    29894328*c^4*d^8*e + 94312448*c^3*d^3*e^7 + 35151792*c^2*d^9*e^2 - 
    58331392*c*d^4*e^8 + 22298496*d^10*e^3)*y^2*z^3 + (1416256*a*b^12 -
    217748*a*b*e^11 + 7298032*b^8*d^5 - 1275484*b^7*c^6 + 
    9575676*b^4*d^8*e - 7286812*b^2*c*d^9*e + 24158668*b*c^4*e^8 - 
    18248596*b*c^3*d^6*e^3 - 32938792*b*c^2*d*e^9 + 
    20436344*b*c*d^7*e^4 + 10379384*b*d^2*e^10 - 2351452*c^11*e^2 + 
    13420176*c^9*d*e^3 - 18173664*c^7*d^2*e^4 + 36668076*c^5*d^3*e^5 + 
    199656*c^4*d^9 - 56424352*c^3*d^4*e^6 + 1989812*c^2*d^10*e + 
    26622088*c*d^5*e^7 + 1840*d^11*e^2 + 2972*e^13)*y*z^4 + 
    (-7260*b^11*d*e - 65340*b^4*d^9 + 14520*b^2*c^10*e + 
    406560*b^2*c*d^10 - 2156220*b*c^3*d^7*e^2 - 9641280*b*c^2*d^2*e^8 +
    5749920*b*c*d^8*e^3 + 5713620*b*d^3*e^9 + 7260*c^13 - 
    4530240*c^11*d*e + 4522980*c^9*d^2*e^2 - 7840800*c^7*d^3*e^3 + 
    18658200*c^5*d^4*e^4 - 18861480*c^3*d^5*e^5 + 4450380*c^2*d^11 + 
    4515720*c^2*e^11 + 11775720*c*d^6*e^6 - 4515720*d*e^12)*z^5);
end function;

function d1tilde(F,c4,xx)
  v,w,x,y,z := Explode(xx);
c4 := -c4;
z := -z;
  return (1/7260)*(312384*F^7*v^4*w + 2972*c4^2*v^4*x + 19264*F^5*c4*v^4*y + 
    13016*F^3*c4^2*v^4*z + 338640*F^8*v^3*w^2 + 3676*F*c4^2*v^3*w*x - 
    232912*F^6*c4*v^3*w*y - 23844*F^4*c4^2*v^3*w*z - 126900*F^5*c4*v^3*x^2 - 
    1608768*F^10*v^3*x*y + 591264*F^8*c4*v^3*x*z + 24160*F^4*c4^2*v^3*y^2 + 
    (13269888*F^13 - 5236*F^2*c4^3)*v^3*y*z + (824976*F^11*c4 - 
    1104*c4^4)*v^3*z^2 + 3394992*F^9*v^2*w^3 + 
    42996*F^2*c4^2*v^2*w^2*x - 834912*F^7*c4*v^2*w^2*y + 
    382044*F^5*c4^2*v^2*w^2*z - 464220*F^6*c4*v^2*w*x^2 + (-692928*F^11 - 
    3676*c4^3)*v^2*w*x*y - 5397408*F^9*c4*v^2*w*x*z + 158080*F^5*c4^2*v^2*w*y^2
    + (13191552*F^14 - 32828*F^3*c4^3)*v^2*w*y*z + (-32273424*F^12*c4 - 
    1268*F*c4^4)*v^2*w*z^2 + 4382592*F^10*v^2*x^3 - 41788*F^4*c4^2*v^2*x^2*y + 
    (61489152*F^13 + 32104*F^2*c4^3)*v^2*x^2*z - 1072320*F^9*c4*v^2*x*y^2 + 
    436896*F^7*c4^2*v^2*x*y*z + (531442944*F^16 + 158148*F^5*c4^3)*v^2*x*z^2 + 
    (-12751872*F^14 - 15224*F^3*c4^3)*v^2*y^3 + (3520512*F^12*c4 + 
    5604*F*c4^4)*v^2*y^2*z + 61776*F^10*c4^2*v^2*y*z^2 + (1583152128*F^19 + 
    384504*F^8*c4^3)*v^2*z^3 - 4800912*F^10*v*w^4 + 15696*F^3*c4^2*v*w^3*x + 
    2445648*F^8*c4*v*w^3*y - 1083068*F^6*c4^2*v*w^3*z - 944820*F^7*c4*v*w^2*x^2
    + (-32114880*F^12 - 14520*F*c4^3)*v*w^2*x*y + 2801088*F^10*c4*v*w^2*x*z - 
    423480*F^6*c4^2*v*w^2*y^2 + (-199456128*F^15 + 259856*F^4*c4^3)*v*w^2*y*z +
    (39734064*F^13*c4 - 60616*F^2*c4^4)*v*w^2*z^2 + (542784*F^11 - 
    4288*c4^3)*v*w*x^3 + 138328*F^5*c4^2*v*w*x^2*y + (-2733696*F^14 - 
    41632*F^3*c4^3)*v*w*x^2*z + 3547392*F^10*c4*v*w*x*y^2 - 
    1056960*F^8*c4^2*v*w*x*y*z + (-47775744*F^17 + 313956*F^6*c4^3)*v*w*x*z^2 +
    (-54428160*F^15 - 18432*F^4*c4^3)*v*w*y^3 + (77883264*F^13*c4 - 
    3392*F^2*c4^4)*v*w*y^2*z + (-27742464*F^11*c4^2 + 1268*c4^5)*v*w*y*z^2 + 
    (-1990158336*F^20 + 3697200*F^9*c4^3)*v*w*z^3 + 16352*F^4*c4^2*v*x^4 - 
    1216480*F^9*c4*v*x^3*y - 33864*F^7*c4^2*v*x^3*z + (-4874112*F^14 + 
    17960*F^3*c4^3)*v*x^2*y^2 + (-24299136*F^12*c4 - 4816*F*c4^4)*v*x^2*y*z + 
    1191240*F^10*c4^2*v*x^2*z^2 + 254560*F^8*c4^2*v*x*y^3 + (-434280960*F^17 - 
    14152*F^6*c4^3)*v*x*y^2*z + (89932032*F^15*c4 + 11820*F^4*c4^4)*v*x*y*z^2 +
    (-30907872*F^13*c4^2 - 8992*F^2*c4^5)*v*x*z^3 + (7745920*F^13*c4 + 
    3708*F^2*c4^4)*v*y^4 + (-5298240*F^11*c4^2 - 1868*c4^5)*v*y^3*z + 
    (-1222926336*F^20 + 1293768*F^9*c4^3)*v*y^2*z^2 + (726893568*F^18*c4 + 
    3196*F^7*c4^4)*v*y*z^3 + (-213846912*F^16*c4^2 - 62168*F^5*c4^5)*v*z^4 + 
    (10648272*F^11 + 7260*c4^3)*w^5 - 91316*F^4*c4^2*w^4*x + 
    189408*F^9*c4*w^4*y - 195172*F^7*c4^2*w^4*z + 2192196*F^8*c4*w^3*x^2 + 
    (-72187200*F^13 - 44408*F^2*c4^3)*w^3*x*y + (35875584*F^11*c4 + 
    4888*c4^4)*w^3*x*z - 298536*F^7*c4^2*w^3*y^2 + (-414764928*F^16 - 
    310360*F^5*c4^3)*w^3*y*z + (148104144*F^14*c4 + 92008*F^3*c4^4)*w^3*z^2 - 
    15176448*F^12*w^2*x^3 - 306276*F^6*c4^2*w^2*x^2*y + (-304045056*F^15 + 
    137440*F^4*c4^3)*w^2*x^2*z + (4642560*F^11*c4 + 7260*c4^4)*w^2*x*y^2 + 
    861408*F^9*c4^2*w^2*x*y*z + (-1599761664*F^18 + 730176*F^7*c4^3)*w^2*x*z^2 
    + (-1073664*F^16 + 109248*F^5*c4^3)*w^2*y^3 + (33391872*F^14*c4 - 
    348*F^3*c4^4)*w^2*y^2*z + 21106224*F^12*c4^2*w^2*y*z^2 + (-6283090944*F^21 
    - 6096264*F^10*c4^3)*w^2*z^3 - 18816*F^5*c4^2*w*x^4 + 
    1927072*F^10*c4*w*x^3*y - 1596056*F^8*c4^2*w*x^3*z + (114201216*F^15 + 
    65460*F^4*c4^3)*w*x^2*y^2 + (-49243392*F^13*c4 - 59784*F^2*c4^4)*w*x^2*y*z 
    + (-15621768*F^11*c4^2 + 4852*c4^5)*w*x^2*z^2 + 670944*F^9*c4^2*w*x*y^3 + 
    (2025229824*F^18 + 365640*F^7*c4^3)*w*x*y^2*z + (-1217424384*F^16*c4 - 
    646616*F^5*c4^4)*w*x*y*z^2 + (15983136*F^14*c4^2 + 50504*F^3*c4^5)*w*x*z^3 
    + 20787584*F^14*c4*w*y^4 - 14880448*F^12*c4^2*w*y^3*z + (9506045952*F^21 + 
    5172888*F^10*c4^3)*w*y^2*z^2 + (-5801822208*F^19*c4 - 
    2355508*F^8*c4^4)*w*y*z^3 + (520051968*F^17*c4^2 + 199192*F^6*c4^5)*w*z^4 -
    7680*F^9*c4*x^5 + (7160832*F^14 + 5088*F^3*c4^3)*x^4*y + 
    2532096*F^12*c4*x^4*z - 13904*F^8*c4^2*x^3*y^2 + (561452544*F^17 + 
    455896*F^6*c4^3)*x^3*y*z + (25349184*F^15*c4 - 17876*F^4*c4^4)*x^3*z^2 + 
    (-17490048*F^13*c4 - 11048*F^2*c4^4)*x^2*y^3 + (5702496*F^11*c4^2 + 
    2408*c4^5)*x^2*y^2*z + (9158925312*F^20 + 6759480*F^9*c4^3)*x^2*y*z^2 + 
    (-113664384*F^18*c4 - 415740*F^7*c4^4)*x^2*z^3 + (-190992384*F^18 - 
    160208*F^7*c4^3)*x*y^4 + (-196780032*F^16*c4 - 96528*F^5*c4^4)*x*y^3*z + 
    (117138240*F^14*c4^2 + 46048*F^3*c4^5)*x*y^2*z^2 + (77532069888*F^23 + 
    42512832*F^12*c4^3)*x*y*z^3 + (-4613345280*F^21*c4 - 
    3252240*F^10*c4^4)*x*z^4 - 976000*F^12*c4^2*y^5 + (-1833689088*F^21 - 
    250784*F^10*c4^3)*y^4*z + (-371773440*F^19*c4 - 482024*F^8*c4^4)*y^3*z^2 + 
    (435957120*F^17*c4^2 + 219932*F^6*c4^5)*y^2*z^3 + (239233056768*F^26 + 
    101862720*F^15*c4^3 - 6384*F^4*c4^6)*y*z^4 + (-24388024320*F^24*c4 - 
    11761200*F^13*c4^4)*z^5);
end function;

function d1(c4,Delta,xx)
  DD := Delta;
  v,w,x,y,z := Explode(xx);
  return (1/1815)*(78096*DD*v^4*w + 743*c4^2*DD*v^4*x - 
    4816*c4*DD*v^4*y - 3254*c4^2*DD*v^4*z + 84660*DD*v^3*w^2 + 
    919*c4^2*DD*v^3*w*x + 58228*c4*DD*v^3*w*y + 5961*c4^2*DD*v^3*w*z + 
    31725*c4*DD^2*v^3*x^2 - 402192*DD^2*v^3*x*y + 
    147816*c4*DD^2*v^3*x*z + 6040*c4^2*DD*v^3*y^2 + (-1309*c4^3*DD
    - 3317472*DD^2)*v^3*y*z + (-276*c4^4*DD - 
    206244*c4*DD^2)*v^3*z^2 + 848748*DD*v^2*w^3 + 
    10749*c4^2*DD*v^2*w^2*x + 208728*c4*DD*v^2*w^2*y - 
    95511*c4^2*DD*v^2*w^2*z + 116055*c4*DD^2*v^2*w*x^2 + 
    (919*c4^3*DD - 173232*DD^2)*v^2*w*x*y - 
    1349352*c4*DD^2*v^2*w*x*z + 39520*c4^2*DD*v^2*w*y^2 + 
    (-8207*c4^3*DD - 3297888*DD^2)*v^2*w*y*z + (-317*c4^4*DD + 
    8068356*c4*DD^2)*v^2*w*z^2 + 1095648*DD^3*v^2*x^3 - 
    10447*c4^2*DD^2*v^2*x^2*y + (8026*c4^3*DD^2 - 
    15372288*DD^3)*v^2*x^2*z + 268080*c4*DD^2*v^2*x*y^2 - 
    109224*c4^2*DD^2*v^2*x*y*z + (-39537*c4^3*DD^2 + 
    132860736*DD^3)*v^2*x*z^2 + (3806*c4^3*DD - 
    3187968*DD^2)*v^2*y^3 + (-1401*c4^4*DD + 
    880128*c4*DD^2)*v^2*y^2*z + 15444*c4^2*DD^2*v^2*y*z^2 + 
    (96126*c4^3*DD^2 - 395788032*DD^3)*v^2*z^3 - 1200228*DD*v*w^4 
    + 3924*c4^2*DD*v*w^3*x - 611412*c4*DD*v*w^3*y + 
    270767*c4^2*DD*v*w^3*z + 236205*c4*DD^2*v*w^2*x^2 + 
    (3630*c4^3*DD - 8028720*DD^2)*v*w^2*x*y + 
    700272*c4*DD^2*v*w^2*x*z - 105870*c4^2*DD*v*w^2*y^2 + 
    (64964*c4^3*DD + 49864032*DD^2)*v*w^2*y*z + (-15154*c4^4*DD - 
    9933516*c4*DD^2)*v*w^2*z^2 + (1072*c4^3*DD^2 + 
    135696*DD^3)*v*w*x^3 + 34582*c4^2*DD^2*v*w*x^2*y + 
    (-10408*c4^3*DD^2 + 683424*DD^3)*v*w*x^2*z - 
    886848*c4*DD^2*v*w*x*y^2 + 264240*c4^2*DD^2*v*w*x*y*z + 
    (-78489*c4^3*DD^2 - 11943936*DD^3)*v*w*x*z^2 + (4608*c4^3*DD -
    13607040*DD^2)*v*w*y^3 + (848*c4^4*DD + 
    19470816*c4*DD^2)*v*w*y^2*z + (-317*c4^5*DD - 
    6935616*c4^2*DD^2)*v*w*y*z^2 + (924300*c4^3*DD^2 + 
    497539584*DD^3)*v*w*z^3 + 4088*c4^2*DD^3*v*x^4 + 
    304120*c4*DD^3*v*x^3*y + 8466*c4^2*DD^3*v*x^3*z + 
    (-4490*c4^3*DD^2 - 1218528*DD^3)*v*x^2*y^2 + (1204*c4^4*DD^2 -
    6074784*c4*DD^3)*v*x^2*y*z + 297810*c4^2*DD^3*v*x^2*z^2 + 
    63640*c4^2*DD^2*v*x*y^3 + (-3538*c4^3*DD^2 + 
    108570240*DD^3)*v*x*y^2*z + (2955*c4^4*DD^2 - 
    22483008*c4*DD^3)*v*x*y*z^2 + (-2248*c4^5*DD^2 + 
    7726968*c4^2*DD^3)*v*x*z^3 + (927*c4^4*DD - 
    1936480*c4*DD^2)*v*y^4 + (-467*c4^5*DD + 
    1324560*c4^2*DD^2)*v*y^3*z + (-323442*c4^3*DD^2 - 
    305731584*DD^3)*v*y^2*z^2 + (-799*c4^4*DD^2 + 
    181723392*c4*DD^3)*v*y*z^3 + (15542*c4^5*DD^2 - 
    53461728*c4^2*DD^3)*v*z^4 + (-1815*c4^3 + 2662068*DD)*w^5 - 
    22829*c4^2*DD*w^4*x - 47352*c4*DD*w^4*y + 48793*c4^2*DD*w^4*z 
    - 548049*c4*DD^2*w^3*x^2 + (11102*c4^3*DD - 
    18046800*DD^2)*w^3*x*y + (-1222*c4^4*DD + 
    8968896*c4*DD^2)*w^3*x*z - 74634*c4^2*DD*w^3*y^2 + 
    (-77590*c4^3*DD + 103691232*DD^2)*w^3*y*z + (23002*c4^4*DD - 
    37026036*c4*DD^2)*w^3*z^2 - 3794112*DD^3*w^2*x^3 - 
    76569*c4^2*DD^2*w^2*x^2*y + (34360*c4^3*DD^2 + 
    76011264*DD^3)*w^2*x^2*z + (1815*c4^4*DD - 
    1160640*c4*DD^2)*w^2*x*y^2 - 215352*c4^2*DD^2*w^2*x*y*z + 
    (-182544*c4^3*DD^2 - 399940416*DD^3)*w^2*x*z^2 + 
    (-27312*c4^3*DD - 268416*DD^2)*w^2*y^3 + (87*c4^4*DD + 
    8347968*c4*DD^2)*w^2*y^2*z + 5276556*c4^2*DD^2*w^2*y*z^2 + 
    (-1524066*c4^3*DD^2 + 1570772736*DD^3)*w^2*z^3 - 
    4704*c4^2*DD^3*w*x^4 - 481768*c4*DD^3*w*x^3*y + 
    399014*c4^2*DD^3*w*x^3*z + (-16365*c4^3*DD^2 + 
    28550304*DD^3)*w*x^2*y^2 + (14946*c4^4*DD^2 - 
    12310848*c4*DD^3)*w*x^2*y*z + (-1213*c4^5*DD^2 - 
    3905442*c4^2*DD^3)*w*x^2*z^2 + 167736*c4^2*DD^2*w*x*y^3 + 
    (91410*c4^3*DD^2 - 506307456*DD^3)*w*x*y^2*z + 
    (-161654*c4^4*DD^2 + 304356096*c4*DD^3)*w*x*y*z^2 + 
    (12626*c4^5*DD^2 - 3995784*c4^2*DD^3)*w*x*z^3 - 
    5196896*c4*DD^2*w*y^4 + 3720112*c4^2*DD^2*w*y^3*z + 
    (-1293222*c4^3*DD^2 + 2376511488*DD^3)*w*y^2*z^2 + 
    (588877*c4^4*DD^2 - 1450455552*c4*DD^3)*w*y*z^3 + 
    (-49798*c4^5*DD^2 + 130012992*c4^2*DD^3)*w*z^4 + 
    1920*c4*DD^4*x^5 + (-1272*c4^3*DD^3 + 1790208*DD^4)*x^4*y + 
    633024*c4*DD^4*x^4*z - 3476*c4^2*DD^3*x^3*y^2 + 
    (113974*c4^3*DD^3 - 140363136*DD^4)*x^3*y*z + (-4469*c4^4*DD^3
    - 6337296*c4*DD^4)*x^3*z^2 + (-2762*c4^4*DD^2 + 
    4372512*c4*DD^3)*x^2*y^3 + (602*c4^5*DD^2 - 
    1425624*c4^2*DD^3)*x^2*y^2*z + (-1689870*c4^3*DD^3 + 
    2289731328*DD^4)*x^2*y*z^2 + (103935*c4^4*DD^3 - 
    28416096*c4*DD^4)*x^2*z^3 + (40052*c4^3*DD^2 - 
    47748096*DD^3)*x*y^4 + (24132*c4^4*DD^2 - 
    49195008*c4*DD^3)*x*y^3*z + (-11512*c4^5*DD^2 + 
    29284560*c4^2*DD^3)*x*y^2*z^2 + (10628208*c4^3*DD^3 - 
    19383017472*DD^4)*x*y*z^3 + (-813060*c4^4*DD^3 + 
    1153336320*c4*DD^4)*x*z^4 - 244000*c4^2*DD^2*y^5 + 
    (-62696*c4^3*DD^2 + 458422272*DD^3)*y^4*z + (-120506*c4^4*DD^2
    + 92943360*c4*DD^3)*y^3*z^2 + (54983*c4^5*DD^2 - 
    108989280*c4^2*DD^3)*y^2*z^3 + (-1596*c4^6*DD^2 - 
    25465680*c4^3*DD^3 + 59808264192*DD^4)*y*z^4 + 
    (2940300*c4^4*DD^3 - 6097006080*c4*DD^4)*z^5);
end function;

function r2tilde(aa,xx)
  a,b,c,d,e := Explode(aa);
  v,w,x,y,z := Explode(xx);
  return (1/7260)*((7260*a^5 + 7260*a^2*c*e^2 + 
    7260*a*c*d^2*e - 7260*b^2*d^3 + 7260*b*c^2*e^2 + 
    7260*c*d^4)*v^5 + (29040*a^4*b + 29040*a*b*c*e^2)*v^4*w + (-42200*a*d*e^3 
    + 41312*b^4*e + 40824*b^2*c^3 - 588*b^2*c*d*e + 1696*c^4*d + 
    4152*c^2*d^2*e - 1396*d^3*e^2)*v^4*x + (-37640*a^2*b^3 + 208*b^4*c + 
    14688*b^2*c^2*d - 1416*b^2*d^2*e + 24224*b*e^4 + 632*c^3*d^2 + 
    16248*c*d^3*e)*v^4*y + (-34036*a*b^3*d - 33056*a*c*e^3 - 7068*b^2*c^2*e + 
    11676*b^2*d*e^2 + 2972*c^5 + 15940*c^3*d*e + 1344*c*d^2*e^2)*v^4*z + 
    (72600*a^3*b^2 + 72600*b^2*c*e^2 - 14520*b*d^4 + 43560*c^4*e - 
    29040*c^2*d*e^2 - 14520*d^2*e^3)*v^3*w^2 + (4888*a^5 - 11760*a^2*c*e^2 + 
    25260*a*c*d^2*e - 105272*b^2*d^3 + 21024*b*c^2*e^2 - 104856*b*d*e^3 + 
    30604*c*d^4)*v^3*w*x + (5760*a^2*d*e^2 - 104884*a*b^4 - 14328*a*c^2*d^2 + 
    46556*b^3*e^2 - 48804*b*c^3*e - 55236*b*c*d*e^2 - 4288*d^5)*v^3*w*y + 
    (9700*a^2*e^3 - 48444*a*d^2*e^2 - 157616*b^4*d + 36972*b^2*c*d^2 - 
    112656*b*c*e^3 - 13456*c^2*d^3 + 9368*d^4*e)*v^3*w*z + (440*b^2*e^3 - 
    92664*b*c*d^3 + 4400*c^3*e^2 - 87560*c*d*e^3)*v^3*x^2 + (-2784*a^3*b^2 - 
    3720*a*e^4 + 19272*b^2*c*e^2 - 96792*b*d^4 - 13776*c^4*e - 27912*c^2*d*e^2
    - 104400*d^2*e^3)*v^3*x*y + (11556*a^2*b^2*d + 8112*a*b*d*e^2 + 1868*b^5 +
    19980*b*c^2*d^2 - 187200*b*d^3*e + 40316*c^2*e^3 - 193372*d*e^4)*v^3*x*z +
    (-59748*a*b^3*d - 4332*a*c*e^3 - 10416*b^2*c^2*e - 5268*b^2*d*e^2 - 
    1104*c^5 - 56256*c^3*d*e + 12228*c*d^2*e^2)*v^3*y^2 + (-172656*b^3*d^2 + 
    37840*b^2*e^3 + 3960*b*c*d^3 + 33880*c^3*e^2 - 208120*c*d*e^3)*v^3*y*z + 
    (208*a^4*b + 59496*a*b*c*e^2 + 632*b^3*c^2 - 88392*b^3*d*e - 38432*b*c^3*d
    - 14352*b*c*d^2*e - 78520*c*e^4)*v^3*z^2 + (78520*a^2*b^3 + 208*b^4*c - 
    14352*b^2*c^2*d - 59496*b^2*d^2*e + 24224*b*e^4 + 632*c^3*d^2 + 
    45288*c*d^3*e)*v^2*w^3 + (-1952*a^4*b - 17472*a*b*c*e^2 - 9688*b^3*c^2 - 
    255576*b^3*d*e - 25136*b*c^3*d + 273024*b*c*d^2*e - 15520*c*e^4)*v^2*w^2*x
    + (181500*a^2*b^2*d + 58080*a*b*d*e^2 + 7260*b^5 - 50820*b*c^2*d^2 - 
    58080*b*d^3*e + 21780*c^2*e^3 - 50820*d*e^4)*v^2*w^2*y + (274668*a*b^2*d^2
    - 51892*a*b*e^3 - 8948*b^3*c*e + 10748*b*c^4 + 342552*b*c^2*d*e - 
    25644*b*d^2*e^2 + 4852*e^5)*v^2*w^2*z + (-35424*a*d*e^3 + 31104*b^4*e + 
    17064*b^2*c^3 - 207036*b^2*c*d*e - 3672*c^4*d + 231984*c^2*d^2*e + 
    7668*d^3*e^2)*v^2*w*x^2 + (27968*a^2*b^3 + 17696*b^4*c + 15288*b^2*c^2*d -
    482748*b^2*d^2*e - 27824*b*e^4 - 17948*c^3*d^2 + 393924*c*d^3*e)*v^2*w*x*y
    + (-4292*a*b^3*d - 12112*a*c*e^3 + 12468*b^2*c^2*e - 325188*b^2*d*e^2 + 
    3676*c^5 - 7996*c^3*d*e + 399456*c*d^2*e^2)*v^2*w*x*z + (17944*a^2*e^3 - 
    180312*a*d^2*e^2 - 206744*b^4*d + 195936*b^2*c*d^2 - 147816*b*c*e^3 - 
    16072*c^2*d^3 - 7672*d^4*e)*v^2*w*y^2 + (60560*a*d*e^3 - 375656*b^4*e - 
    406176*b^2*c^3 - 7812*b^2*c*d*e + 5624*c^4*d + 424272*c^2*d^2*e - 
    27020*d^3*e^2)*v^2*w*y*z + (-9688*a^3*b^2 - 1952*a*e^4 - 255552*b^2*c*e^2 
    + 197448*b*d^4 - 230416*c^4*e + 273024*c^2*d*e^2 + 
    212968*d^2*e^3)*v^2*w*z^2 + (6960*a*b^2*d^2 - 56256*a*b*e^3 + 
    55416*b^3*c*e + 59748*b*c^4 + 12228*b*c^2*d*e - 10416*b*d^2*e^2 - 
    1104*e^5)*v^2*x^3 + (-7672*a^4*b - 195936*a*b*c*e^2 + 17944*b^3*c^2 + 
    59376*b^3*d*e + 206744*b*c^3*d + 15624*b*c*d^2*e + 16072*c*e^4)*v^2*x^2*y 
    + (226272*a^2*d*e^2 - 12436*a*b^4 - 25176*a*c^2*d^2 + 153932*b^3*e^2 + 
    152244*b*c^3*e - 155004*b*c*d*e^2 + 2408*d^5)*v^2*x^2*z + 
    (-25176*a^2*b^2*d - 155004*a*b*d*e^2 + 2408*b^5 + 226272*b*c^2*d^2 + 
    2760*b*d^3*e - 1072*c^2*e^3 - 9676*d*e^4)*v^2*x*y^2 + (64884*a*b^2*d^2 - 
    426532*a*b*e^3 - 48572*b^3*c*e - 29560*b*c^4 + 499452*b*c^2*d*e + 
    20436*b*d^2*e^2 - 1268*e^5)*v^2*x*y*z + (7260*a^5 + 181500*a^2*c*e^2 + 
    7260*a*c*d^2*e + 21780*b^2*d^3 - 50820*b*c^2*e^2 + 58080*b*d*e^3 + 
    7260*c*d^4)*v^2*x*z^2 + (-92664*b^3*d^2 + 87560*b^2*e^3 + 83160*b*c*d^3 + 
    93104*c^3*e^2 - 97064*c*d*e^3)*v^2*y^3 + (-3672*a^4*b - 207036*a*b*c*e^2 +
    7668*b^3*c^2 - 249048*b^3*d*e - 35424*b*c^3*d + 231984*b*c*d^2*e + 
    14040*c*e^4)*v^2*y^2*z + (274668*a^2*d*e^2 + 19696*a*b^4 - 25644*a*c^2*d^2
    - 15992*b^3*e^2 - 7044*b*c^3*e + 67884*b*c*d*e^2 + 4852*d^5)*v^2*y*z^2 + 
    (72600*a^2*e^3 - 72600*a*d^2*e^2 - 29040*b^4*d + 43560*b^2*c*d^2 - 
    58080*b*c*e^3)*v^2*z^3 + (13020*a^2*d*e^2 + 33056*a*b^4 - 7068*a*c^2*d^2 -
    4264*b^3*e^2 - 5244*b*c^3*e - 11676*b*c*d*e^2 + 2972*d^5)*v*w^4 + 
    (9700*a^3*b^2 + 9368*a*e^4 + 48444*b^2*c*e^2 + 64212*b*d^4 - 109172*c^4*e 
    - 11472*c^2*d*e^2 + 50756*d^2*e^3)*v*w^3*x + (153056*a*b^3*d + 
    6172*a*c*e^3 + 11556*b^2*c^2*e - 8112*b^2*d*e^2 + 1868*c^5 - 40316*c^3*d*e
    + 28092*c*d^2*e^2)*v*w^3*y + (174240*b^3*d^2 + 33880*b^2*e^3 - 
    3960*b*c*d^3 - 138776*c^3*e^2 + 140360*c*d*e^3)*v*w^3*z + (4852*a^5 - 
    25644*a^2*c*e^2 + 342552*a*c*d^2*e + 51892*b^2*d^3 + 274668*b*c^2*e^2 + 
    60840*b*d*e^3 + 19696*c*d^4)*v*w^2*x^2 + (74268*a^2*d*e^2 + 12112*a*b^4 + 
    12468*a*c^2*d^2 - 317192*b^3*e^2 - 309372*b*c^3*e + 325188*b*c*d*e^2 + 
    3676*d^5)*v*w^2*x*y + (-27020*a^2*e^3 + 416460*a*d^2*e^2 - 60560*b^4*d + 
    7812*b^2*c*d^2 + 315096*b*c*e^3 - 30520*c^2*d^3 + 5624*d^4*e)*v*w^2*x*z + 
    (226272*a*b^2*d^2 + 1072*a*b*e^3 + 1688*b^3*c*e - 10748*b*c^4 + 
    71268*b*c^2*d*e - 25176*b*d^2*e^2 + 2408*e^5)*v*w^2*y^2 + (-1268*a^5 + 
    20436*a^2*c*e^2 + 499452*a*c*d^2*e + 426532*b^2*d^3 + 64884*b*c^2*e^2 + 
    475104*b*d*e^3 + 19012*c*d^4)*v*w^2*y*z + (-14040*a^2*b^3 - 3672*b^4*c + 
    231984*b^2*c^2*d + 207036*b^2*d^2*e + 31104*b*e^4 + 7668*c^3*d^2 - 
    211356*c*d^3*e)*v*w^2*z^2 + (-1584*b^3*d^2 - 138776*b^2*e^3 - 
    172656*b*c*d^3 + 35464*c^3*e^2 - 39424*c*d*e^3)*v*w*x^3 + (-27020*a^3*b^2 
    + 5624*a*e^4 - 416460*b^2*c*e^2 + 101364*b*d^4 - 477020*c^4*e + 
    424272*c^2*d*e^2 + 70844*d^2*e^3)*v*w*x^2*y + (20436*a^2*b^2*d + 
    434568*a*b*d*e^2 - 1268*b^5 + 64884*b*c^2*d^2 - 475104*b*d^3*e + 
    426532*c^2*e^3 - 456092*d*e^4)*v*w*x^2*z + (29560*a*b^3*d - 19012*a*c*e^3 
    + 20436*b^2*c^2*e - 434568*b^2*d*e^2 - 1268*c^5 - 426532*c^3*d*e + 
    499452*c*d^2*e^2)*v*w*x*y^2 + (-755040*b^2*e^3 - 755040*c^3*e^2 + 
    755040*c*d*e^3)*v*w*x*y*z + (17696*a^4*b + 482748*a*b*c*e^2 - 
    17948*b^3*c^2 - 15432*b^3*d*e - 61000*b*c^3*d + 15288*b*c*d^2*e - 
    27968*c*e^4)*v*w*x*z^2 + (33048*a*d*e^3 - 110568*b^4*e - 118176*b^2*c^3 + 
    8640*b^2*c*d*e - 3720*c^4*d - 27912*c^2*d^2*e - 2784*d^3*e^2)*v*w*y^3 + 
    (-17948*a^3*b^2 + 17696*a*e^4 - 498036*b^2*c*e^2 + 409212*b*d^4 - 
    437036*c^4*e + 15288*c^2*d*e^2 + 437180*d^2*e^3)*v*w*y^2*z + 
    (12468*a^2*b^2*d + 325188*a*b*d*e^2 + 3676*b^5 + 74268*b*c^2*d^2 - 
    15816*b*d^3*e + 7996*c^2*e^3 - 3704*d*e^4)*v*w*y*z^2 + (21024*a*b^2*d^2 + 
    105272*a*b*e^3 - 416*b^3*c*e + 30188*b*c^4 + 25260*b*c^2*d*e - 
    11760*b*d^2*e^2 + 4888*e^5)*v*w*z^3 + (632*a^2*e^3 + 16104*a*d^2*e^2 + 
    9392*b^4*d - 1416*b^2*c*d^2 - 14832*b*c*e^3 - 37640*c^2*d^3 + 
    208*d^4*e)*v*x^4 + (-4288*a^5 - 14328*a^2*c*e^2 - 49476*a*c*d^2*e - 
    8680*b^2*d^3 + 5760*b*c^2*e^2 - 104040*b*d*e^3 - 104884*c*d^4)*v*x^3*y + 
    (-7608*a^2*b^3 - 3720*b^4*c - 27912*b^2*c^2*d - 8640*b^2*d^2*e - 
    110568*b*e^4 - 2784*c^3*d^2 - 68880*c*d^3*e)*v*x^3*z + (-50820*a^2*d*e^2 +
    7260*a*b^4 + 181500*a*c^2*d^2 - 36300*b^3*e^2 + 58080*b*c*d*e^2 + 
    7260*d^5)*v*x^2*y^2 + (-17948*a^2*e^3 + 498036*a*d^2*e^2 + 61000*b^4*d - 
    482748*b^2*c*d^2 + 88824*b*c*e^3 + 27968*c^2*d^3 + 17696*d^4*e)*v*x^2*y*z 
    + (206744*a*d*e^3 - 58928*b^4*e - 75000*b^2*c^3 - 195936*b^2*c*d*e - 
    7672*c^4*d + 15624*c^2*d^2*e + 17944*d^3*e^2)*v*x^2*z^2 + (19980*a*b^2*d^2
    - 40316*a*b*e^3 - 146884*b^3*c*e - 153056*b*c^4 + 28092*b*c^2*d*e + 
    11556*b*d^2*e^2 + 1868*e^5)*v*x*y^3 + (3676*a^5 + 12468*a^2*c*e^2 + 
    399456*a*c*d^2*e + 7996*b^2*d^3 + 74268*b*c^2*e^2 + 15816*b*d*e^3 + 
    12112*c*d^4)*v*x*y^2*z + (-30520*a^2*b^3 + 5624*b^4*c + 424272*b^2*c^2*d +
    7812*b^2*d^2*e - 375656*b*e^4 - 27020*c^3*d^2 - 322908*c*d^3*e)*v*x*y*z^2 
    + (9524*a*b^3*d + 104884*a*c*e^3 - 14328*b^2*c^2*e + 55236*b^2*d*e^2 - 
    4288*c^5 + 8680*c^3*d*e - 49476*c*d^2*e^2)*v*x*z^3 + (1696*a^4*b - 
    588*a*b*c*e^2 - 1396*b^3*c^2 - 44976*b^3*d*e - 42200*b*c^3*d + 
    4152*b*c*d^2*e + 488*c*e^4)*v*y^4 + (21024*a^2*d*e^2 + 30604*a*b^4 - 
    11760*a*c^2*d^2 - 109508*b^3*e^2 - 109092*b*c^3*e + 4236*b*c*d*e^2 + 
    4888*d^5)*v*y^3*z + (-9688*a^2*e^3 + 255552*a*d^2*e^2 + 25136*b^4*d + 
    17472*b^2*c*d^2 + 58104*b*c*e^3 + 15520*c^2*d^3 - 1952*d^4*e)*v*y^2*z^2 + 
    (157616*a*d*e^3 - 44960*b^4*e - 58416*b^2*c^3 - 36972*b^2*c*d*e + 
    9368*c^4*d - 11472*c^2*d^2*e + 9700*d^3*e^2)*v*y*z^3 + (29040*a*e^4 - 
    29040*b^2*c*e^2 + 29040*b*d^4 - 29040*c^4*e + 29040*d^2*e^3)*v*z^4 + 
    (7260*a^2*b^2*d + 7260*b^5 + 7260*b*c^2*d^2 - 7260*c^2*e^3 + 
    7260*d*e^4)*w^5 + (29040*b^4*c - 29040*b^2*d^2*e + 29040*c*d^3*e)*w^4*x + 
    (-1396*a^2*e^3 + 3564*a*d^2*e^2 + 42200*b^4*d + 588*b^2*c*d^2 + 
    888*b*c*e^3 - 488*c^2*d^3 + 1696*d^4*e)*w^4*y + (-9392*a*d*e^3 + 
    24224*b^4*e - 13416*b^2*c^3 + 1416*b^2*c*d*e + 208*c^4*d + 14688*c^2*d^2*e
    + 632*d^3*e^2)*w^4*z + (-43560*a*b*c*e^2 + 72600*b^3*c^2 + 29040*b*c^3*d -
    29040*b*c*d^2*e)*w^3*x^2 + (-11760*a^2*b^2*d + 4236*a*b*d*e^2 + 4888*b^5 +
    21024*b*c^2*d^2 + 104856*b*d^3*e - 105272*c^2*e^3 + 135460*d*e^4)*w^3*x*y 
    + (5760*a*b^2*d^2 + 8680*a*b*e^3 + 95360*b^3*c*e - 9524*b*c^4 - 
    49476*b*c^2*d*e - 14328*b*d^2*e^2 - 4288*e^5)*w^3*x*z + (83160*b^3*d^2 + 
    4400*b^2*e^3 + 3960*b*c*d^3 + 4400*c^3*e^2 - 9944*c*d*e^3)*w^3*y^2 + 
    (-3720*a^4*b + 8640*a*b*c*e^2 - 2784*b^3*c^2 + 146088*b^3*d*e + 
    33048*b*c^3*d - 27912*b*c*d^2*e + 7608*c*e^4)*w^3*y*z + (6960*a^2*d*e^2 + 
    4332*a*b^4 - 10416*a*c^2*d^2 + 50988*b^3*e^2 - 4428*b*c^3*e + 
    5268*b*c*d*e^2 - 1104*d^5)*w^3*z^2 + (-38432*a*d*e^3 + 24224*b^4*e + 
    102744*b^2*c^3 + 59496*b^2*c*d*e + 208*c^4*d - 14352*c^2*d^2*e + 
    632*d^3*e^2)*w^2*x^3 + (15520*a^2*b^3 - 1952*b^4*c + 273024*b^2*c^2*d + 
    17472*b^2*d^2*e - 32968*b*e^4 - 9688*c^3*d^2 - 75576*c*d^3*e)*w^2*x^2*y + 
    (29040*a*b^3*d - 7260*a*c*e^3 + 181500*b^2*c^2*e - 58080*b^2*d*e^2 + 
    7260*c^5 - 21780*c^3*d*e + 7260*c*d^2*e^2)*w^2*x^2*z + (7668*a^2*e^3 + 
    24948*a*d^2*e^2 + 35424*b^4*d + 207036*b^2*c*d^2 + 4320*b*c*e^3 - 
    14040*c^2*d^3 - 3672*d^4*e)*w^2*x*y^2 + (-61000*a*d*e^3 - 27824*b^4*e + 
    144*b^2*c^3 + 482748*b^2*c*d*e + 17696*c^4*d + 15288*c^2*d^2*e - 
    17948*d^3*e^2)*w^2*x*y*z + (17944*a^3*b^2 - 7672*a*e^4 + 180312*b^2*c*e^2 
    - 32496*b*d^4 - 26432*c^4*e + 15624*c^2*d*e^2 - 48568*d^2*e^3)*w^2*x*z^2 +
    (-1104*a^5 - 10416*a^2*c*e^2 + 12228*a*c*d^2*e + 56256*b^2*d^3 + 
    6960*b*c^2*e^2 + 840*b*d*e^3 + 4332*c*d^4)*w^2*y^3 + (-16072*a^2*b^3 - 
    7672*b^4*c + 15624*b^2*c^2*d + 195936*b^2*d^2*e - 58928*b*e^4 + 
    17944*c^3*d^2 - 48120*c*d^3*e)*w^2*y^2*z + (10748*a*b^3*d + 12436*a*c*e^3 
    - 25176*b^2*c^2*e + 155004*b^2*d*e^2 + 2408*c^5 + 1072*c^3*d*e + 
    71268*c*d^2*e^2)*w^2*y*z^2 + (3960*b^3*d^2 + 93104*b^2*e^3 + 5544*b*c*d^3 
    + 440*c^3*e^2 - 440*c*d*e^3)*w^2*z^3 + (13020*a*b^2*d^2 + 15940*a*b*e^3 + 
    980*b^3*c*e + 34036*b*c^4 + 1344*b*c^2*d*e - 7068*b*d^2*e^2 + 
    2972*e^5)*w*x^4 + (9368*a^4*b - 36972*a*b*c*e^2 + 9700*b^3*c^2 + 
    69888*b^3*d*e + 157616*b*c^3*d - 11472*b*c*d^2*e + 13456*c*e^4)*w*x^3*y + 
    (19980*a^2*d*e^2 - 6172*a*b^4 + 11556*a*c^2*d^2 + 32204*b^3*e^2 + 
    179088*b*c^3*e + 8112*b*c*d*e^2 + 1868*d^5)*w*x^3*z + (-25644*a^2*b^2*d + 
    67884*a*b*d*e^2 + 4852*b^5 + 274668*b*c^2*d^2 - 60840*b*d^3*e + 
    51892*c^2*e^3 - 41144*d*e^4)*w*x^2*y^2 + (74268*a*b^2*d^2 - 7996*a*b*e^3 -
    7820*b^3*c*e + 4292*b*c^4 + 399456*b*c^2*d*e + 12468*b*d^2*e^2 + 
    3676*e^5)*w*x^2*y*z + (2408*a^5 - 25176*a^2*c*e^2 + 71268*a*c*d^2*e - 
    1072*b^2*d^3 + 226272*b*c^2*e^2 - 2760*b*d*e^3 - 12436*c*d^4)*w*x^2*z^2 + 
    (3960*b^3*d^2 + 35464*b^2*e^3 + 174240*b*c*d^3 + 33880*c^3*e^2 - 
    29920*c*d*e^3)*w*x*y^3 + (5624*a^4*b - 7812*a*b*c*e^2 - 27020*b^3*c^2 - 
    18096*b^3*d*e + 60560*b*c^3*d + 424272*b*c*d^2*e + 30520*c*e^4)*w*x*y^2*z 
    + (64884*a^2*d*e^2 + 19012*a*b^4 + 20436*a*c^2*d^2 - 8036*b^3*e^2 + 
    40536*b*c^3*e + 434568*b*c*d*e^2 - 1268*d^5)*w*x*y*z^2 + (-2784*a^2*e^3 - 
    19272*a*d^2*e^2 - 33048*b^4*d - 8640*b^2*c*d^2 + 77520*b*c*e^3 - 
    7608*c^2*d^3 - 3720*d^4*e)*w*x*z^3 + (632*a^3*b^2 + 208*a*e^4 - 
    16104*b^2*c*e^2 + 30936*b*d^4 - 6712*c^4*e + 14688*c^2*d*e^2 - 
    6704*d^2*e^3)*w*y^4 + (-14328*a^2*b^2*d - 55236*a*b*d*e^2 - 4288*b^5 + 
    5760*b*c^2*d^2 + 104040*b*d^3*e - 8680*c^2*e^3 - 844*d*e^4)*w*y^3*z + 
    (-50820*a*b^2*d^2 - 21780*a*b*e^3 - 36300*b^3*c*e - 29040*b*c^4 + 
    7260*b*c^2*d*e + 181500*b*d^2*e^2 + 7260*e^5)*w*y^2*z^2 + (1868*a^5 + 
    11556*a^2*c*e^2 + 28092*a*c*d^2*e + 40316*b^2*d^3 + 19980*b*c^2*e^2 + 
    187200*b*d*e^3 - 6172*c*d^4)*w*y*z^3 + (-488*a^2*b^3 + 1696*b^4*c + 
    4152*b^2*c^2*d + 588*b^2*d^2*e + 41312*b*e^4 - 1396*c^3*d^2 - 
    1476*c*d^3*e)*w*z^4 + (-7260*a*c*e^3 + 7260*b^2*c^2*e + 7260*c^5 + 
    7260*c^3*d*e + 7260*c*d^2*e^2)*x^5 + (29040*b^2*c*d*e + 29040*c^4*d)*x^4*y
    + (-1396*a^3*b^2 + 1696*a*e^4 - 3564*b^2*c*e^2 + 2676*b*d^4 + 38636*c^4*e 
    + 4152*c^2*d*e^2 + 2188*d^2*e^3)*x^4*z + (-29040*b^2*c^2*d + 
    43560*b^2*d^2*e + 29040*b*e^4 + 72600*c^3*d^2 + 14520*c*d^3*e)*x^3*y^2 + 
    (-30188*a*b^3*d - 30604*a*c*e^3 - 11760*b^2*c^2*e - 4236*b^2*d*e^2 + 
    4888*c^5 + 105272*c^3*d*e + 25260*c*d^2*e^2)*x^3*y*z + (5544*b^3*d^2 + 
    4400*b^2*e^3 + 87560*c^3*e^2 + 5104*c*d*e^3)*x^3*z^2 + (632*a^2*e^3 + 
    45144*a*d^2*e^2 + 38432*b^4*d - 59496*b^2*c*d^2 + 14208*b*c*e^3 + 
    78520*c^2*d^3 + 208*d^4*e)*x^2*y^3 + (-25136*a*d*e^3 - 32968*b^4*e - 
    17448*b^2*c^3 - 17472*b^2*c*d*e - 1952*c^4*d + 273024*c^2*d^2*e - 
    9688*d^3*e^2)*x^2*y^2*z + (7668*a^3*b^2 - 3672*a*e^4 - 24948*b^2*c*e^2 + 
    20628*b*d^4 + 10476*c^4*e + 231984*c^2*d*e^2 + 6588*d^2*e^3)*x^2*y*z^2 + 
    (-10416*a^2*b^2*d + 5268*a*b*d*e^2 - 1104*b^5 + 6960*b*c^2*d^2 - 
    840*b*d^3*e + 56256*c^2*e^3 + 3492*d*e^4)*x^2*z^3 + (2972*a^5 - 
    7068*a^2*c*e^2 + 1344*a*c*d^2*e - 15940*b^2*d^3 + 13020*b*c^2*e^2 - 
    16920*b*d*e^3 + 33056*c*d^4)*x*y^4 + (-13456*a^2*b^3 + 9368*b^4*c - 
    11472*b^2*c^2*d + 36972*b^2*d^2*e - 44960*b*e^4 + 9700*c^3*d^2 + 
    75684*c*d^3*e)*x*y^3*z + (-10748*a*b^3*d - 19696*a*c*e^3 - 25644*b^2*c^2*e
    - 67884*b^2*d*e^2 + 4852*c^5 - 51892*c^3*d*e + 342552*c*d^2*e^2)*x*y^2*z^2
    + (-3960*b^3*d^2 + 33880*b^2*e^3 - 1584*b*c*d^3 + 37840*c^3*e^2 + 
    134816*c*d*e^3)*x*y*z^3 + (208*a^4*b + 1416*a*b*c*e^2 + 632*b^3*c^2 - 
    1272*b^3*d*e - 9392*b*c^3*d + 14688*b*c*d^2*e + 37640*c*e^4)*x*z^4 + 
    (7260*a^2*d*e^2 + 7260*a*b^4 + 7260*a*c^2*d^2 - 7260*b^3*e^2 + 
    7260*d^5)*y^5 + (29040*a*d^2*e^2 - 29040*b^2*c*d^2 + 29040*d^4*e)*y^4*z + 
    (29040*a*d*e^3 + 29040*b^4*e + 29040*b^2*c^3 - 43560*b^2*c*d*e - 
    29040*c^2*d^2*e + 72600*d^3*e^2)*y^3*z^2 + (632*a^3*b^2 + 208*a*e^4 - 
    45144*b^2*c*e^2 + 30936*b*d^4 - 6712*c^4*e - 14352*c^2*d*e^2 + 
    109456*d^2*e^3)*y^2*z^3 + (-7068*a^2*b^2*d - 11676*a*b*d*e^2 + 2972*b^5 + 
    13020*b*c^2*d^2 + 16920*b*d^3*e - 15940*c^2*e^3 + 49976*d*e^4)*y*z^4 + 
    (7260*a*b^2*d^2 + 7260*a*b*e^3 - 7260*b^3*c*e + 7260*b*c^2*d*e + 
    7260*b*d^2*e^2 + 7260*e^5)*z^5);
end function;

function d2tilde(F,c4,xx)
  v,w,x,y,z := Explode(xx);
c4 := -c4;
z := -z;
  return (1/7260)*(1718352*F^5*v^5 + 70104*F^3*c4*v^4*x - 94688640*F^7*v^4*y + 
    29610312*F^4*c4*v^4*z + 30204*F^4*c4*v^3*w^2 - 274464*F^8*v^3*w*x - 
    31280*F*c4^2*v^3*w*y - 8537184*F^9*v^3*w*z + 9704*F*c4^2*v^3*x^2 - 
    807312*F^5*c4*v^3*x*y + 462244*F^2*c4^2*v^3*x*z + 2201567040*F^9*v^3*y^2 -
    1358711376*F^6*c4*v^3*y*z + 210249848*F^3*c4^2*v^3*z^2 + 
    1312704*F^9*v^2*w^3 + 87192*F^2*c4^2*v^2*w^2*x + 6093936*F^6*c4*v^2*w^2*y 
    - 1420284*F^3*c4^2*v^2*w^2*z - 1474848*F^6*c4*v^2*w*x^2 - 
    92969856*F^10*v^2*w*x*y + 30585312*F^7*c4*v^2*w*x*z - 
    1287120*F^3*c4^2*v^2*w*y^2 + (-233352576*F^11 - 69740*c4^3)*v^2*w*y*z - 
    84901248*F^8*c4*v^2*w*z^2 + 6338880*F^10*v^2*x^3 - 
    440904*F^3*c4^2*v^2*x^2*y + (-216316224*F^11 + 53372*c4^3)*v^2*x^2*z + 
    360576*F^7*c4*v^2*x*y^2 + 724656*F^4*c4^2*v^2*x*y*z + (2672968896*F^12 + 
    1604592*F*c4^3)*v^2*x*z^2 + (-27260663040*F^11 - 138000*c4^3)*v^2*y^3 + 
    24547301568*F^8*c4*v^2*y^2*z - 7491315288*F^5*c4^2*v^2*y*z^2 + 
    (-11288463552*F^13 + 759540144*F^2*c4^3)*v^2*z^3 - 2148*F^3*c4^2*v*w^4 - 
    200976*F^7*c4*v*w^3*x + (-51854976*F^11 + 9340*c4^3)*v*w^3*y + 
    17321136*F^8*c4*v*w^3*z + (3978720*F^11 + 2408*c4^3)*v*w^2*x^2 - 
    1564848*F^4*c4^2*v*w^2*x*y + (-180674496*F^12 + 437040*F*c4^3)*v*w^2*x*z -
    82024992*F^8*c4*v*w^2*y^2 + 55775616*F^5*c4^2*v*w^2*y*z + (1378896480*F^13
    - 7751868*F^2*c4^3)*v*w^2*z^2 - 61476*F^4*c4^2*v*w*x^3 + 
    13568832*F^8*c4*v*w*x^2*y - 5891700*F^5*c4^2*v*w*x^2*z + (1051080192*F^12 
    + 324400*F*c4^3)*v*w*x*y^2 - 588256128*F^9*c4*v*w*x*y*z + 
    128240436*F^6*c4^2*v*w*x*z^2 + 44511840*F^5*c4^2*v*w*y^3 + 
    (22921754112*F^13 - 13572840*F^2*c4^3)*v*w*y^2*z - 
    7197058368*F^10*c4*v*w*y*z^2 + 143071620*F^7*c4^2*v*w*z^3 + 
    281004*F^8*c4*v*x^4 + (-98933760*F^12 + 3960*F*c4^3)*v*x^3*y + 
    32366352*F^9*c4*v*x^3*z + 10655568*F^5*c4^2*v*x^2*y^2 + (4090611456*F^13 -
    3751308*F^2*c4^3)*v*x^2*y*z - 1664457336*F^10*c4*v*x^2*z^2 + 
    713306112*F^9*c4*v*x*y^3 - 497816352*F^6*c4^2*v*x*y^2*z + 
    (-102796245504*F^14 + 63433392*F^3*c4^3)*v*x*y*z^2 + (29673444624*F^11*c4 
    + 6505928*c4^4)*v*x*z^3 + (205681536000*F^13 + 3544500*F^2*c4^3)*v*y^4 - 
    229173183744*F^10*c4*v*y^3*z + 100269875376*F^7*c4^2*v*y^2*z^2 + 
    (806834135808*F^15 - 19318000636*F^4*c4^3)*v*y*z^3 + 
    (-169191701268*F^12*c4 + 1384016392*F*c4^4)*v*z^4 + 22176*F^8*c4*w^5 + 
    (-78336*F^12 + 208*F*c4^3)*w^4*x - 36224*F^5*c4^2*w^4*y + (-9593856*F^13 -
    3328*F^2*c4^3)*w^4*z - 25852*F^5*c4^2*w^3*x^2 - 2333568*F^9*c4*w^3*x*y + 
    391576*F^6*c4^2*w^3*x*z + (239348736*F^13 + 43820*F^2*c4^3)*w^3*y^2 - 
    148054272*F^10*c4*w^3*y*z + 25294868*F^7*c4^2*w^3*z^2 + 
    63792*F^9*c4*w^2*x^3 + (-7793280*F^13 + 45564*F^2*c4^3)*w^2*x^2*y + 
    14639184*F^10*c4*w^2*x^2*z + 18314928*F^6*c4^2*w^2*x*y^2 + 
    (1941933312*F^14 - 8387520*F^3*c4^3)*w^2*x*y*z + (-748122480*F^11*c4 + 
    878460*c4^4)*w^2*x*z^2 + 924340608*F^10*c4*w^2*y^3 - 
    720265296*F^7*c4^2*w^2*y^2*z + (-29997095040*F^15 + 
    179369636*F^4*c4^3)*w^2*y*z^2 + (7965061488*F^12*c4 - 
    13778512*F*c4^4)*w^2*z^3 + (4498560*F^13 - 1396*F^2*c4^3)*w*x^4 - 
    1288288*F^6*c4^2*w*x^3*y + (-299261952*F^14 + 52824*F^3*c4^3)*w*x^3*z - 
    241198272*F^10*c4*w*x^2*y^2 + 127664640*F^7*c4^2*w*x^2*y*z + 
    (7693145856*F^15 - 13266180*F^4*c4^3)*w*x^2*z^2 + (-13820341248*F^14 - 
    5870800*F^3*c4^3)*w*x*y^3 + (6899822208*F^11*c4 + 1010900*c4^4)*w*x*y^2*z 
    - 2014425312*F^8*c4^2*w*x*y*z^2 + (-111052136448*F^16 + 
    180593584*F^5*c4^3)*w*x*z^3 - 454864960*F^7*c4^2*w*y^4 + 
    (-267358952448*F^15 + 233494640*F^4*c4^3)*w*y^3*z + (158463044928*F^12*c4 
    - 27282200*F*c4^4)*w*y^2*z^2 - 25290892480*F^9*c4^2*w*y*z^3 + 
    (640404800640*F^17 + 1276155296*F^6*c4^3)*w*z^4 + 9772*F^6*c4^2*x^5 - 
    3267888*F^10*c4*x^4*y + 766952*F^7*c4^2*x^4*z + (425260800*F^14 + 
    869480*F^3*c4^3)*x^3*y^2 + (-102339264*F^11*c4 - 235840*c4^4)*x^3*y*z - 
    11910152*F^8*c4^2*x^3*z^2 + 99182848*F^7*c4^2*x^2*y^3 + (-19569551616*F^15
    - 59598072*F^4*c4^3)*x^2*y^2*z + (1712476512*F^12*c4 + 
    6678760*F*c4^4)*x^2*y*z^2 - 153558224*F^9*c4^2*x^2*z^3 + 
    (7786562304*F^11*c4 + 1857500*c4^4)*x*y^4 - 3301967872*F^8*c4^2*x*y^3*z + 
    (129119111424*F^16 + 859063048*F^5*c4^3)*x*y^2*z^2 + (39956492352*F^13*c4 
    - 31604936*F^2*c4^4)*x*y*z^3 + 2807552444*F^10*c4^2*x*z^4 + 
    (-353148125184*F^15 + 85038000*F^4*c4^3)*y^5 + (697010687232*F^12*c4 - 
    18060000*F*c4^4)*y^4*z - 426818816384*F^9*c4^2*y^3*z^2 + 
    (6536714971392*F^17 + 129746529896*F^6*c4^3)*y^2*z^3 + 
    (-1823357736624*F^14*c4 - 19787917424*F^3*c4^4)*y*z^4 + 
    (79556544712*F^11*c4^2 + 1169230260*c4^5)*z^5);
end function;

function d2(c4,Delta,xx)
  DD := Delta;
  v,w,x,y,z := Explode(xx);
  return (1/1815)*(429588*DD*v^5 - 17526*c4*DD*v^4*x - 
    23672160*DD*v^4*y + 7402578*c4*DD*v^4*z - 7551*c4*DD^2*v^3*w^2 - 
    68616*DD^2*v^3*w*x - 7820*c4^2*DD*v^3*w*y + 
    2134296*DD^2*v^3*w*z + 2426*c4^2*DD*v^3*x^2 + 
    201828*c4*DD*v^3*x*y - 115561*c4^2*DD*v^3*x*z + 
    550391760*DD*v^3*y^2 - 339677844*c4*DD*v^3*y*z + 
    52562462*c4^2*DD*v^3*z^2 + 328176*DD^3*v^2*w^3 + 
    21798*c4^2*DD^2*v^2*w^2*x - 1523484*c4*DD^2*v^2*w^2*y + 
    355071*c4^2*DD^2*v^2*w^2*z + 368712*c4*DD^2*v^2*w*x^2 - 
    23242464*DD^2*v^2*w*x*y + 7646328*c4*DD^2*v^2*w*x*z - 
    321780*c4^2*DD*v^2*w*y^2 + (-17435*c4^3*DD + 
    58338144*DD^2)*v^2*w*y*z + 21225312*c4*DD^2*v^2*w*z^2 + 
    1584720*DD^2*v^2*x^3 - 110226*c4^2*DD*v^2*x^2*y + 
    (13343*c4^3*DD + 54079056*DD^2)*v^2*x^2*z - 
    90144*c4*DD*v^2*x*y^2 - 181164*c4^2*DD*v^2*x*y*z + 
    (-401148*c4^3*DD + 668242224*DD^2)*v^2*x*z^2 + (34500*c4^3 - 
    6815165760*DD)*v^2*y^3 + 6136825392*c4*DD*v^2*y^2*z - 
    1872828822*c4^2*DD*v^2*y*z^2 + (189885036*c4^3*DD + 
    2822115888*DD^2)*v^2*z^3 - 537*c4^2*DD^3*v*w^4 + 
    50244*c4*DD^3*v*w^3*x + (-2335*c4^3*DD^2 - 
    12963744*DD^3)*v*w^3*y + 4330284*c4*DD^3*v*w^3*z + 
    (-602*c4^3*DD^2 + 994680*DD^3)*v*w^2*x^2 - 
    391212*c4^2*DD^2*v*w^2*x*y + (109260*c4^3*DD^2 + 
    45168624*DD^3)*v*w^2*x*z + 20506248*c4*DD^2*v*w^2*y^2 - 
    13943904*c4^2*DD^2*v*w^2*y*z + (1937967*c4^3*DD^2 + 
    344724120*DD^3)*v*w^2*z^2 - 15369*c4^2*DD^2*v*w*x^3 - 
    3392208*c4*DD^2*v*w*x^2*y + 1472925*c4^2*DD^2*v*w*x^2*z + 
    (-81100*c4^3*DD + 262770048*DD^2)*v*w*x*y^2 - 
    147064032*c4*DD^2*v*w*x*y*z + 32060109*c4^2*DD^2*v*w*x*z^2 + 
    11127960*c4^2*DD*v*w*y^3 + (-3393210*c4^3*DD - 
    5730438528*DD^2)*v*w*y^2*z + 1799264592*c4*DD^2*v*w*y*z^2 - 
    35767905*c4^2*DD^2*v*w*z^3 - 70251*c4*DD^2*v*x^4 + 
    (-990*c4^3*DD - 24733440*DD^2)*v*x^3*y + 
    8091588*c4*DD^2*v*x^3*z + 2663892*c4^2*DD*v*x^2*y^2 + 
    (-937827*c4^3*DD - 1022652864*DD^2)*v*x^2*y*z + 
    416114334*c4*DD^2*v*x^2*z^2 - 178326528*c4*DD*v*x*y^3 + 
    124454088*c4^2*DD*v*x*y^2*z + (-15858348*c4^3*DD - 
    25699061376*DD^2)*v*x*y*z^2 + (-1626482*c4^4*DD + 
    7418361156*c4*DD^2)*v*x*z^3 + (-886125*c4^3 + 
    51420384000*DD)*v*y^4 - 57293295936*c4*DD*v*y^3*z + 
    25067468844*c4^2*DD*v*y^2*z^2 + (-4829500159*c4^3*DD - 
    201708533952*DD^2)*v*y*z^3 + (346004098*c4^4*DD + 
    42297925317*c4*DD^2)*v*z^4 - 5544*c4*DD^4*w^5 + (-52*c4^3*DD^3
    - 19584*DD^4)*w^4*x - 9056*c4^2*DD^3*w^4*y + (-832*c4^3*DD^3 +
    2398464*DD^4)*w^4*z - 6463*c4^2*DD^3*w^3*x^2 + 
    583392*c4*DD^3*w^3*x*y - 97894*c4^2*DD^3*w^3*x*z + 
    (-10955*c4^3*DD^2 + 59837184*DD^3)*w^3*y^2 - 
    37013568*c4*DD^3*w^3*y*z + 6323717*c4^2*DD^3*w^3*z^2 - 
    15948*c4*DD^3*w^2*x^3 + (-11391*c4^3*DD^2 - 
    1948320*DD^3)*w^2*x^2*y + 3659796*c4*DD^3*w^2*x^2*z + 
    4578732*c4^2*DD^2*w^2*x*y^2 + (-2096880*c4^3*DD^2 - 
    485483328*DD^3)*w^2*x*y*z + (219615*c4^4*DD^2 + 
    187030620*c4*DD^3)*w^2*x*z^2 - 231085152*c4*DD^2*w^2*y^3 + 
    180066324*c4^2*DD^2*w^2*y^2*z + (-44842409*c4^3*DD^2 - 
    7499273760*DD^3)*w^2*y*z^2 + (3444628*c4^4*DD^2 + 
    1991265372*c4*DD^3)*w^2*z^3 + (349*c4^3*DD^2 + 
    1124640*DD^3)*w*x^4 - 322072*c4^2*DD^2*w*x^3*y + 
    (13206*c4^3*DD^2 + 74815488*DD^3)*w*x^3*z + 
    60299568*c4*DD^2*w*x^2*y^2 - 31916160*c4^2*DD^2*w*x^2*y*z + 
    (3316545*c4^3*DD^2 + 1923286464*DD^3)*w*x^2*z^2 + 
    (1467700*c4^3*DD - 3455085312*DD^2)*w*x*y^3 + (-252725*c4^4*DD
    + 1724955552*c4*DD^2)*w*x*y^2*z - 
    503606328*c4^2*DD^2*w*x*y*z^2 + (45148396*c4^3*DD^2 + 
    27763034112*DD^3)*w*x*z^3 - 113716240*c4^2*DD*w*y^4 + 
    (58373660*c4^3*DD + 66839738112*DD^2)*w*y^3*z + 
    (-6820550*c4^4*DD - 39615761232*c4*DD^2)*w*y^2*z^2 + 
    6322723120*c4^2*DD^2*w*y*z^3 + (-319038824*c4^3*DD^2 + 
    160101200160*DD^3)*w*z^4 + 2443*c4^2*DD^2*x^5 + 
    816972*c4*DD^2*x^4*y - 191738*c4^2*DD^2*x^4*z + 
    (-217370*c4^3*DD + 106315200*DD^2)*x^3*y^2 + (58960*c4^4*DD - 
    25584816*c4*DD^2)*x^3*y*z - 2977538*c4^2*DD^2*x^3*z^2 + 
    24795712*c4^2*DD*x^2*y^3 + (-14899518*c4^3*DD + 
    4892387904*DD^2)*x^2*y^2*z + (1669690*c4^4*DD - 
    428119128*c4*DD^2)*x^2*y*z^2 + 38389556*c4^2*DD^2*x^2*z^3 + 
    (464375*c4^4 - 1946640576*c4*DD)*x*y^4 + 
    825491968*c4^2*DD*x*y^3*z + (-214765762*c4^3*DD + 
    32279777856*DD^2)*x*y^2*z^2 + (7901234*c4^4*DD + 
    9989123088*c4*DD^2)*x*y*z^3 + 701888111*c4^2*DD^2*x*z^4 + 
    (-21259500*c4^3 - 88287031296*DD)*y^5 + (4515000*c4^4 + 
    174252671808*c4*DD)*y^4*z - 106704704096*c4^2*DD*y^3*z^2 + 
    (32436632474*c4^3*DD - 1634178742848*DD^2)*y^2*z^3 + 
    (-4946979356*c4^4*DD + 455839434156*c4*DD^2)*y*z^4 + 
    (292307565*c4^5*DD - 19889136178*c4^2*DD^2)*z^5);
end function;   

