CayleyResolvent := function(monic_pol);
  R<x> := Parent(monic_pol);
  a := Coefficient(monic_pol,4);
  b := Coefficient(monic_pol,3);
  c := Coefficient(monic_pol,2);
  d := Coefficient(monic_pol,1);
  e := Coefficient(monic_pol,0);
  return 
x^6 + (16*a*c - 6*b^2 - 40*d)*x^5 + (-128*a^3*e + 32*a^2*b*d + 96*a^2*c^2 - 80*a*b^2*c + 480*a*b*e - 544*a*c*d + 15*b^4 + 
    104*b^2*d + 32*b*c^2 - 800*c*e + 880*d^2)*x^4 + (-1024*a^4*c*e - 128*a^4*d^2 + 384*a^3*b^2*e + 384*a^3*b*c*d + 
    256*a^3*c^3 + 3328*a^3*d*e - 128*a^2*b^3*d - 384*a^2*b^2*c^2 + 3456*a^2*b*c*e - 192*a^2*b*d^2 - 2688*a^2*c^2*d - 
    3200*a^2*e^2 + 160*a*b^4*c - 1344*a*b^3*e + 960*a*b^2*c*d + 384*a*b*c^3 - 10880*a*b*d*e - 5120*a*c^2*e + 8192*a*c*d^2 - 
    20*b^6 - 16*b^4*d - 128*b^3*c^2 + 2240*b^2*c*e - 1472*b^2*d^2 - 192*b*c^2*d + 8000*b*e^2 - 128*c^4 + 12800*c*d*e - 
    8960*d^3)*x^3 + (4096*a^6*e^2 - 2048*a^5*b*d*e - 2048*a^5*c^2*e - 1024*a^5*c*d^2 + 2048*a^4*b^2*c*e + 640*a^4*b^2*d^2 + 
    1536*a^4*b*c^2*d - 30720*a^4*b*e^2 + 256*a^4*c^4 + 20480*a^4*c*d*e + 2560*a^4*d^3 - 384*a^3*b^4*e - 1152*a^3*b^3*c*d - 
    768*a^3*b^2*c^3 + 6400*a^3*b^2*d*e + 2560*a^3*b*c^2*e - 2560*a^3*b*c*d^2 - 5632*a^3*c^3*d + 25600*a^3*c*e^2 - 
    46080*a^3*d^2*e + 192*a^2*b^5*d + 576*a^2*b^4*c^2 - 5760*a^2*b^3*c*e - 960*a^2*b^3*d^2 + 3456*a^2*b^2*c^2*d + 
    67200*a^2*b^2*e^2 + 1536*a^2*b*c^4 - 69120*a^2*b*c*d*e - 1280*a^2*b*d^3 - 2560*a^2*c^3*e + 24320*a^2*c^2*d^2 + 
    64000*a^2*d*e^2 - 160*a*b^6*c + 1152*a*b^5*e + 384*a*b^4*c*d - 1152*a*b^3*c^3 - 1920*a*b^3*d*e + 15360*a*b^2*c^2*e - 
    3840*a*b^2*c*d^2 - 2560*a*b*c^3*d - 128000*a*b*c*e^2 + 140800*a*b*d^2*e - 1024*a*c^5 + 38400*a*c^2*d*e - 46080*a*c*d^3 + 
    15*b^8 - 176*b^6*d + 192*b^5*c^2 - 1920*b^4*c*e + 1440*b^4*d^2 - 960*b^3*c^2*d - 24000*b^3*e^2 + 640*b^2*c^4 + 
    19200*b^2*c*d*e + 1280*b^2*d^3 - 12800*b*c^3*e - 1280*b*c^2*d^2 - 160000*b*d*e^2 + 2560*c^4*d + 160000*c^2*e^2 - 
    128000*c*d^2*e + 44800*d^4)*x^2 + (8192*a^7*d^2*e - 8192*a^6*b*c*d*e - 2048*a^6*b*d^3 - 2048*a^6*c^2*d^2 - 
    49152*a^6*d*e^2 + 2048*a^5*b^3*d*e + 2048*a^5*b^2*c^2*e + 4096*a^5*b^2*c*d^2 + 2048*a^5*b*c^3*d + 24576*a^5*b*c*e^2 - 
    47104*a^5*b*d^2*e + 28672*a^5*c^2*d*e + 14336*a^5*c*d^3 - 57344*a^5*e^3 - 1024*a^4*b^4*c*e - 896*a^4*b^4*d^2 - 
    3072*a^4*b^3*c^2*d - 6144*a^4*b^3*e^2 - 512*a^4*b^2*c^4 + 26624*a^4*b^2*c*d*e + 8192*a^4*b^2*d^3 - 14336*a^4*b*c^3*e - 
    13312*a^4*b*c^2*d^2 + 411648*a^4*b*d*e^2 - 4096*a^4*c^4*d - 2048*a^4*c^2*e^2 - 174080*a^4*c*d^2*e - 3072*a^4*d^4 + 
    128*a^3*b^6*e + 1152*a^3*b^5*c*d + 768*a^3*b^4*c^3 - 7424*a^3*b^4*d*e + 2048*a^3*b^3*c^2*e - 8192*a^3*b^3*c*d^2 + 
    8192*a^3*b^2*c^3*d - 178176*a^3*b^2*c*e^2 + 109568*a^3*b^2*d^2*e + 2048*a^3*b*c^5 - 4096*a^3*b*c^2*d*e - 
    39936*a^3*b*c*d^3 + 358400*a^3*b*e^3 + 12288*a^3*c^4*e + 30720*a^3*c^3*d^2 + 92160*a^3*c*d*e^2 + 180224*a^3*d^3*e - 
    128*a^2*b^7*d - 384*a^2*b^6*c^2 + 1152*a^2*b^5*c*e + 2496*a^2*b^5*d^2 + 1152*a^2*b^4*c^2*d + 41088*a^2*b^4*e^2 - 
    3072*a^2*b^3*c^4 - 49152*a^2*b^3*c*d*e - 12800*a^2*b^3*d^3 + 18432*a^2*b^2*c^3*e + 29184*a^2*b^2*c^2*d^2 - 
    1198080*a^2*b^2*d*e^2 - 13312*a^2*b*c^4*d - 35840*a^2*b*c^2*e^2 + 553984*a^2*b*c*d^2*e - 29696*a^2*b*d^4 - 2048*a^2*c^6 -
    116736*a^2*c^3*d*e - 30720*a^2*c^2*d^3 - 768000*a^2*c*e^3 - 716800*a^2*d^2*e^2 + 80*a*b^8*c - 192*a*b^7*e - 
    1472*a*b^6*c*d + 1152*a*b^5*c^3 + 8832*a*b^5*d*e - 6144*a*b^4*c^2*e + 4608*a*b^4*c*d^2 - 8192*a*b^3*c^3*d + 
    440320*a*b^3*c*e^2 - 75776*a*b^3*d^2*e + 4096*a*b^2*c^5 - 129024*a*b^2*c^2*d*e + 58368*a*b^2*c*d^3 - 384000*a*b^2*e^3 + 
    12288*a*b*c^4*e - 39936*a*b*c^3*d^2 + 947200*a*b*c*d*e^2 - 317440*a*b*d^3*e + 14336*a*c^5*d + 409600*a*c^3*e^2 - 
    327680*a*c^2*d^2*e + 94208*a*c*d^4 + 2560000*a*d*e^3 - 6*b^10 + 184*b^8*d - 128*b^7*c^2 + 320*b^6*c*e - 1984*b^6*d^2 + 
    2496*b^5*c^2*d - 86592*b^5*e^2 - 896*b^4*c^4 + 43008*b^4*c*d*e + 1792*b^4*d^3 - 6144*b^3*c^3*e - 12800*b^3*c^2*d^2 + 
    857600*b^3*d*e^2 + 8192*b^2*c^4*d - 652800*b^2*c^2*e^2 - 445440*b^2*c*d^2*e + 41472*b^2*d^4 - 2048*b*c^6 + 
    414720*b*c^3*d*e - 29696*b*c^2*d^3 + 640000*b*c*e^3 - 128000*b*d^2*e^2 - 59392*c^5*e - 3072*c^4*d^2 - 1024000*c^2*d*e^2 +
    614400*c*d^3*e - 108544*d^5 - 3200000*e^4)*x + 4096*a^8*d^4 - 8192*a^7*b*c*d^3 - 49152*a^7*d^3*e + 2048*a^6*b^3*d^3 + 
    6144*a^6*b^2*c^2*d^2 + 73728*a^6*b*c*d^2*e - 28672*a^6*b*d^4 + 16384*a^6*c^2*d^3 + 352256*a^6*d^2*e^2 - 
    3072*a^5*b^4*c*d^2 - 2048*a^5*b^3*c^3*d - 18432*a^5*b^3*d^2*e - 36864*a^5*b^2*c^2*d*e + 43008*a^5*b^2*c*d^3 - 
    24576*a^5*b*c^3*d^2 - 352256*a^5*b*c*d*e^2 + 253952*a^5*b*d^3*e - 180224*a^5*c^2*d^2*e + 8192*a^5*c*d^4 - 
    1228800*a^5*d*e^3 + 384*a^4*b^6*d^2 + 1536*a^4*b^5*c^2*d + 256*a^4*b^4*c^4 + 18432*a^4*b^4*c*d*e - 10752*a^4*b^4*d^3 + 
    6144*a^4*b^3*c^3*e - 15360*a^4*b^3*c^2*d^2 + 88064*a^4*b^3*d*e^2 + 12288*a^4*b^2*c^4*d + 88064*a^4*b^2*c^2*e^2 - 
    243712*a^4*b^2*c*d^2*e + 72704*a^4*b^2*d^4 + 180224*a^4*b*c^3*d*e - 94208*a^4*b*c^2*d^3 + 614400*a^4*b*c*e^3 - 
    1720320*a^4*b*d^2*e^2 + 24576*a^4*c^4*d^2 + 901120*a^4*c^2*d*e^2 + 155648*a^4*c*d^3*e - 40960*a^4*d^5 + 2560000*a^4*e^4 -
    384*a^3*b^7*c*d - 256*a^3*b^6*c^3 - 2304*a^3*b^6*d*e - 4608*a^3*b^5*c^2*e + 10752*a^3*b^5*c*d^2 - 2560*a^3*b^4*c^3*d - 
    44032*a^3*b^4*c*e^2 + 63488*a^3*b^4*d^2*e - 2048*a^3*b^3*c^5 + 8192*a^3*b^3*c^2*d*e - 70656*a^3*b^3*c*d^3 - 
    153600*a^3*b^3*e^3 - 45056*a^3*b^2*c^4*e + 88064*a^3*b^2*c^3*d^2 + 1054720*a^3*b^2*c*d*e^2 - 421888*a^3*b^2*d^3*e - 
    24576*a^3*b*c^5*d - 450560*a^3*b*c^3*e^2 + 442368*a^3*b*c^2*d^2*e + 12288*a^3*b*c*d^4 + 5120000*a^3*b*d*e^3 - 
    212992*a^3*c^4*d*e + 16384*a^3*c^3*d^3 - 2048000*a^3*c^2*e^3 - 1024000*a^3*c*d^2*e^2 + 245760*a^3*d^4*e + 32*a^2*b^9*d + 
    96*a^2*b^8*c^2 + 1152*a^2*b^7*c*e - 1344*a^2*b^7*d^2 - 1920*a^2*b^6*c^2*d + 5504*a^2*b^6*e^2 + 1536*a^2*b^5*c^4 - 
    29184*a^2*b^5*c*d*e + 18176*a^2*b^5*d^3 + 25088*a^2*b^4*c^3*e - 4352*a^2*b^4*c^2*d^2 - 279040*a^2*b^4*d*e^2 - 
    15360*a^2*b^3*c^4*d + 15360*a^2*b^3*c^2*e^2 + 220160*a^2*b^3*c*d^2*e - 89088*a^2*b^3*d^4 + 6144*a^2*b^2*c^6 - 
    239616*a^2*b^2*c^3*d*e + 149504*a^2*b^2*c^2*d^3 - 1280000*a^2*b^2*c*e^3 + 2764800*a^2*b^2*d^2*e^2 + 106496*a^2*b*c^5*e - 
    94208*a^2*b*c^4*d^2 - 1945600*a^2*b*c^2*d*e^2 - 757760*a^2*b*c*d^3*e + 143360*a^2*b*d^5 - 12800000*a^2*b*e^4 + 
    16384*a^2*c^6*d + 614400*a^2*c^4*e^2 + 327680*a^2*c^3*d^2*e - 77824*a^2*c^2*d^4 + 5120000*a^2*c*d*e^3 - 
    1024000*a^2*d^3*e^2 - 16*a*b^10*c - 96*a*b^9*e + 672*a*b^8*c*d - 384*a*b^7*c^3 + 3968*a*b^7*d*e - 4096*a*b^6*c^2*e - 
    8960*a*b^6*c*d^2 + 10752*a*b^5*c^3*d + 56320*a*b^5*c*e^2 - 52736*a*b^5*d^2*e - 3072*a*b^4*c^5 + 70144*a*b^4*c^2*d*e + 
    40960*a*b^4*c*d^3 + 384000*a*b^4*e^3 - 36864*a*b^3*c^4*e - 70656*a*b^3*c^3*d^2 - 947200*a*b^3*c*d*e^2 + 
    256000*a*b^3*d^3*e + 43008*a*b^2*c^5*d + 409600*a*b^2*c^3*e^2 - 143360*a*b^2*c^2*d^2*e - 49152*a*b^2*c*d^4 - 
    5120000*a*b^2*d*e^3 - 8192*a*b*c^7 + 163840*a*b*c^4*d*e + 12288*a*b*c^3*d^3 + 5120000*a*b*c^2*e^3 + 1536000*a*b*c*d^2*e^2
    - 409600*a*b*d^4*e - 81920*a*c^6*e + 8192*a*c^5*d^2 - 2048000*a*c^3*d*e^2 + 614400*a*c^2*d^3*e - 40960*a*c*d^5 + b^12 - 
    56*b^10*d + 32*b^9*c^2 + 160*b^8*c*e + 1136*b^8*d^2 - 1344*b^7*c^2*d - 8000*b^7*e^2 + 384*b^6*c^4 - 1280*b^6*c*d*e - 
    10496*b^6*d^3 + 2560*b^5*c^3*e + 18176*b^5*c^2*d^2 + 224000*b^5*d*e^2 - 10752*b^4*c^4*d - 121600*b^4*c^2*e^2 - 
    61440*b^4*c*d^2*e + 48896*b^4*d^4 + 2048*b^3*c^6 + 15360*b^3*c^3*d*e - 89088*b^3*c^2*d^3 - 640000*b^3*c*e^3 - 
    1408000*b^3*d^2*e^2 + 10240*b^2*c^5*e + 72704*b^2*c^4*d^2 + 2048000*b^2*c^2*d*e^2 + 512000*b^2*c*d^3*e - 112640*b^2*d^5 +
    16000000*b^2*e^4 - 28672*b*c^6*d - 512000*b*c^4*e^2 - 716800*b*c^3*d^2*e + 143360*b*c^2*d^4 - 12800000*b*c*d*e^3 + 
    2560000*b*d^3*e^2 + 4096*c^8 + 204800*c^5*d*e - 40960*c^4*d^3 + 2560000*c^2*d^2*e^2 - 1024000*c*d^4*e + 102400*d^6
;
end function;

FundamentalResolventMatrices := function(monic_pol);
  R<x> := Parent(monic_pol);
  a := Coefficient(monic_pol,4);
  b := Coefficient(monic_pol,3);
  c := Coefficient(monic_pol,2);
  d := Coefficient(monic_pol,1);
  e := Coefficient(monic_pol,0);
  M := [ZeroMatrix(BaseRing(R),5,5) : i in [0..4]];
M[1][1,2] :=
-16384*a^7*e^3 + 12288*a^6*b*d*e^2 + 8192*a^6*c^2*e^2 - 9216*a^6*c*d^2*e + 1728*a^6*d^4 - 9216*a^5*b^2*c*e^2 + 
    384*a^5*b^2*d^2*e + 5120*a^5*b*c^2*d*e - 1152*a^5*b*c*d^3 + 163840*a^5*b*e^3 - 1024*a^5*c^4*e + 256*a^5*c^3*d^2 - 
    47104*a^5*c*d*e^2 + 23040*a^5*d^3*e + 1728*a^4*b^4*e^2 - 1152*a^4*b^3*c*d*e + 256*a^4*b^3*d^3 + 256*a^4*b^2*c^3*e - 
    64*a^4*b^2*c^2*d^2 - 99840*a^4*b^2*d*e^2 - 50176*a^4*b*c^2*e^2 + 70784*a^4*b*c*d^2*e - 19584*a^4*b*d^4 - 1536*a^4*c^3*d*e
    + 2112*a^4*c^2*d^3 - 87040*a^4*c*e^3 - 22144*a^4*d^2*e^2 + 65664*a^3*b^3*c*e^2 - 960*a^3*b^3*d^2*e - 
    40768*a^3*b^2*c^2*d*e + 12032*a^3*b^2*c*d^3 - 539520*a^3*b^2*e^3 + 8448*a^3*b*c^4*e - 3840*a^3*b*c^3*d^2 + 
    391808*a^3*b*c*d*e^2 - 136960*a^3*b*d^3*e + 256*a^3*c^5*d + 39168*a^3*c^3*e^2 - 56640*a^3*c^2*d^2*e + 12288*a^3*c*d^4 + 
    128000*a^3*d*e^3 - 12096*a^2*b^5*e^2 + 8640*a^2*b^4*c*d*e - 2560*a^2*b^4*d^3 - 1984*a^2*b^3*c^3*e + 896*a^2*b^3*c^2*d^2 +
    238464*a^2*b^3*d*e^2 - 64*a^2*b^2*c^4*d + 12032*a^2*b^2*c^2*e^2 - 162112*a^2*b^2*c*d^2*e + 63488*a^2*b^2*d^4 + 
    45824*a^2*b*c^3*d*e - 20736*a^2*b*c^2*d^3 + 521600*a^2*b*c*e^3 + 8960*a^2*b*d^2*e^2 - 6912*a^2*c^5*e + 2112*a^2*c^4*d^2 -
    420160*a^2*c^2*d*e^2 + 252160*a^2*c*d^3*e - 16384*a^2*d^5 - 360000*a^2*e^4 - 111744*a*b^4*c*e^2 - 2304*a*b^4*d^2*e + 
    80000*a*b^3*c^2*d*e - 30720*a*b^3*c*d^3 + 590400*a*b^3*e^3 - 17280*a*b^2*c^4*e + 12032*a*b^2*c^3*d^2 - 
    707200*a*b^2*c*d*e^2 + 169984*a*b^2*d^3*e - 1152*a*b*c^5*d - 23040*a*b*c^3*e^2 + 131072*a*b*c^2*d^2*e - 73728*a*b*c*d^4 -
    352000*a*b*d*e^3 - 576*a*c^4*d*e + 12288*a*c^3*d^3 + 360000*a*c^2*e^3 + 89600*a*c*d^2*e^2 - 184320*a*d^4*e + 
    20736*b^6*e^2 - 16128*b^5*c*d*e + 6144*b^5*d^3 + 3840*b^4*c^3*e - 2560*b^4*c^2*d^2 - 149760*b^4*d*e^2 + 256*b^3*c^4*d + 
    146880*b^3*c^2*e^2 + 124928*b^3*c*d^2*e - 49152*b^3*d^4 - 141888*b^2*c^3*d*e + 63488*b^2*c^2*d^3 - 936000*b^2*c*e^3 + 
    204800*b^2*d^2*e^2 + 25920*b*c^5*e - 19584*b*c^4*d^2 + 883200*b*c^2*d*e^2 - 471040*b*c*d^3*e + 98304*b*d^5 + 
    1200000*b*e^4 + 1728*c^6*d - 129600*c^4*e^2 + 57600*c^3*d^2*e - 16384*c^2*d^4 - 1120000*c*d*e^3 + 512000*d^3*e^2
;
M[1][2,1] :=
                                -M[1][1,2];
M[2][1,2] :=
81920*a^6*e^3 - 79872*a^5*b*d*e^2 - 49152*a^5*c^2*e^2 + 50688*a^5*c*d^2*e - 3456*a^5*d^4 + 56832*a^4*b^2*c*e^2 + 
    10752*a^4*b^2*d^2*e - 29184*a^4*b*c^2*d*e - 5760*a^4*b*c*d^3 - 481280*a^4*b*e^3 + 5120*a^4*c^4*e + 2176*a^4*c^3*d^2 + 
    39936*a^4*c*d*e^2 - 16128*a^4*d^3*e - 10368*a^3*b^4*e^2 - 1920*a^3*b^3*c*d*e - 704*a^3*b^3*d^3 + 1152*a^3*b^2*c^3*e + 
    6336*a^3*b^2*c^2*d^2 + 421632*a^3*b^2*d*e^2 - 3584*a^3*b*c^4*d + 228864*a^3*b*c^2*e^2 - 259200*a^3*b*c*d^2*e + 
    16128*a^3*b*d^4 + 512*a^3*c^6 + 4352*a^3*c^3*d*e + 960*a^3*c^2*d^3 + 601600*a^3*c*e^3 - 23040*a^3*d^2*e^2 + 
    1728*a^2*b^5*d*e - 576*a^2*b^4*c^2*e - 1344*a^2*b^4*c*d^2 + 832*a^2*b^3*c^3*d - 253824*a^2*b^3*c*e^2 - 
    60672*a^2*b^3*d^2*e - 128*a^2*b^2*c^5 + 136512*a^2*b^2*c^2*d*e + 33216*a^2*b^2*c*d^3 + 556800*a^2*b^2*e^3 - 
    23552*a^2*b*c^4*e - 14592*a^2*b*c^3*d^2 - 700800*a^2*b*c*d*e^2 + 79872*a^2*b*d^3*e + 768*a^2*c^5*d - 344960*a^2*c^3*e^2 +
    347328*a^2*c^2*d^2*e - 22272*a^2*c*d^4 - 928000*a^2*d*e^3 + 41472*a*b^5*e^2 + 11136*a*b^4*c*d*e + 2816*a*b^4*d^3 - 
    5760*a*b^3*c^3*e - 28032*a*b^3*c^2*d^2 - 361920*a*b^3*d*e^2 + 16000*a*b^2*c^4*d + 261120*a*b^2*c^2*e^2 + 
    269952*a*b^2*c*d^2*e - 6144*a*b^2*d^4 - 2304*a*b*c^6 - 205568*a*b*c^3*d*e - 47616*a*b*c^2*d^3 - 816000*a*b*c*e^3 + 
    940800*a*b*d^2*e^2 + 33408*a*c^5*e + 15936*a*c^4*d^2 + 769600*a*c^2*d*e^2 - 657920*a*c*d^3*e + 45056*a*d^5 + 
    1200000*a*e^4 - 6912*b^6*d*e + 2304*b^5*c^2*e + 5376*b^5*c*d^2 - 3328*b^4*c^3*d + 23040*b^4*c*e^2 + 63744*b^4*d^2*e + 
    512*b^3*c^5 - 83520*b^3*c^2*d*e - 40960*b^3*c*d^3 + 144000*b^3*e^3 + 18624*b^2*c^4*e + 64192*b^2*c^3*d^2 - 
    225600*b^2*c*d*e^2 - 153600*b^2*d^3*e - 27072*b*c^5*d + 96000*b*c^3*e^2 + 113920*b*c^2*d^2*e + 45056*b*c*d^4 - 
    320000*b*d*e^3 + 3456*c^7 - 31680*c^4*d*e - 12032*c^3*d^3 - 440000*c^2*e^3 + 160000*c*d^2*e^2 + 102400*d^4*e
;
M[2][2,1] :=
                                -M[2][1,2];
M[3][1,2] :=
-36864*a^6*d*e^2 + 39168*a^5*b*d^2*e - 6144*a^5*c^2*d*e + 266240*a^5*e^3 + 2304*a^4*b^3*e^2 - 20736*a^4*b^2*c*d*e - 
    7488*a^4*b^2*d^3 + 6144*a^4*b*c^3*e + 3264*a^4*b*c^2*d^2 + 26112*a^4*b*d*e^2 - 256*a^4*c^4*d - 116736*a^4*c^2*e^2 + 
    106752*a^4*c*d^2*e - 19008*a^4*d^4 + 4032*a^3*b^4*d*e - 1344*a^3*b^3*c^2*e + 5184*a^3*b^3*c*d^2 - 3264*a^3*b^2*c^3*d + 
    153600*a^3*b^2*c*e^2 - 223680*a^3*b^2*d^2*e + 512*a^3*b*c^5 - 15744*a^3*b*c^2*d*e + 13056*a^3*b*c*d^3 - 1683200*a^3*b*e^3
    + 8448*a^3*c^4*e - 2368*a^3*c^3*d^2 - 145920*a^3*c*d*e^2 - 24576*a^3*d^3*e - 1152*a^2*b^5*d^2 + 768*a^2*b^4*c^2*d - 
    43776*a^2*b^4*e^2 - 128*a^2*b^3*c^4 + 109056*a^2*b^3*c*d*e + 36736*a^2*b^3*d^3 - 30720*a^2*b^2*c^3*e - 
    18432*a^2*b^2*c^2*d^2 + 774720*a^2*b^2*d*e^2 + 1920*a^2*b*c^4*d + 507840*a^2*b*c^2*e^2 - 283392*a^2*b*c*d^2*e + 
    102912*a^2*b*d^4 - 28800*a^2*c^3*d*e - 3456*a^2*c^2*d^3 + 1952000*a^2*c*e^3 + 316800*a^2*d^2*e^2 - 16128*a*b^5*d*e + 
    5376*a*b^4*c^2*e - 23040*a*b^4*c*d^2 + 14592*a*b^3*c^3*d - 663360*a*b^3*c*e^2 + 249600*a*b^3*d^2*e - 2304*a*b^2*c^5 + 
    57408*a*b^2*c^2*d*e - 112128*a*b^2*c*d^3 + 2424000*a*b^2*e^3 + 1728*a*b*c^4*e + 33792*a*b*c^3*d^2 - 1440000*a*b*c*d*e^2 -
    261120*a*b*d^3*e - 1728*a*c^5*d - 763200*a*c^3*e^2 + 760320*a*c^2*d^2*e - 124928*a*c*d^4 - 2880000*a*d*e^3 + 4608*b^6*d^2
    - 3072*b^5*c^2*d + 138240*b^5*e^2 + 512*b^4*c^4 - 72192*b^4*c*d*e - 22528*b^4*d^3 + 13824*b^3*c^3*e + 54144*b^3*c^2*d^2 -
    1027200*b^3*d*e^2 - 25344*b^2*c^4*d + 859200*b^2*c^2*e^2 + 330240*b^2*c*d^2*e - 24576*b^2*d^4 + 3456*b*c^6 - 
    380160*b*c^3*d*e + 64000*b*c^2*d^3 - 3680000*b*c*e^3 + 2112000*b*d^2*e^2 + 51840*c^5*e - 12096*c^4*d^2 + 
    1584000*c^2*d*e^2 - 1075200*c*d^3*e + 163840*d^5 + 3000000*e^4
;
M[3][2,1] :=
                                -M[3][1,2];
M[4][1,2] :=
-24576*a^6*c*e^2 + 27648*a^6*d^2*e + 9216*a^5*b^2*e^2 - 15360*a^5*b*c*d*e - 6912*a^5*b*d^3 + 4096*a^5*c^3*e + 
    2304*a^5*c^2*d^2 - 67584*a^5*d*e^2 + 2304*a^4*b^3*d*e - 768*a^4*b^2*c^2*e + 5376*a^4*b^2*c*d^2 - 3328*a^4*b*c^3*d + 
    193536*a^4*b*c*e^2 - 145920*a^4*b*d^2*e + 512*a^4*c^5 - 7680*a^4*c^2*d*e + 2304*a^4*c*d^3 - 25600*a^4*e^3 - 
    1152*a^3*b^4*d^2 + 768*a^3*b^3*c^2*d - 64512*a^3*b^3*e^2 - 128*a^3*b^2*c^4 + 70656*a^3*b^2*c*d*e + 35520*a^3*b^2*d^3 - 
    17664*a^3*b*c^3*e - 13632*a^3*b*c^2*d^2 + 410880*a^3*b*d*e^2 + 512*a^3*c^4*d - 198400*a^3*c^2*e^2 + 187392*a^3*c*d^2*e + 
    2304*a^3*d^4 - 7488*a^2*b^4*d*e + 2496*a^2*b^3*c^2*e - 24000*a^2*b^3*c*d^2 + 14912*a^2*b^2*c^3*d - 353280*a^2*b^2*c*e^2 +
    113088*a^2*b^2*d^2*e - 2304*a^2*b*c^5 - 51328*a^2*b*c^2*d*e - 60672*a^2*b*c*d^3 + 25344*a^2*c^4*e + 16704*a^2*c^3*d^2 - 
    275200*a^2*c*d*e^2 - 259840*a^2*d^3*e + 4608*a*b^5*d^2 - 3072*a*b^4*c^2*d + 112320*a*b^4*e^2 + 512*a*b^3*c^4 - 
    16128*a*b^3*c*d*e - 26624*a*b^3*d^3 - 1920*a*b^2*c^3*e + 51392*a*b^2*c^2*d^2 - 542400*a*b^2*d*e^2 - 24192*a*b*c^4*d + 
    734400*a*b*c^2*e^2 - 25600*a*b*c*d^2*e + 65536*a*b*d^4 + 3456*a*c^6 - 97920*a*c^3*d*e - 5888*a*c^2*d^3 - 320000*a*c*e^3 +
    992000*a*d^2*e^2 - 6912*b^5*d*e + 2304*b^4*c^2*e + 768*b^4*c*d^2 - 256*b^3*c^3*d - 72000*b^3*c*e^2 + 61440*b^3*d^2*e - 
    31680*b^2*c^2*d*e - 14336*b^2*c*d^3 + 360000*b^2*e^3 + 8640*b*c^4*e + 9216*b*c^3*d^2 - 96000*b*c*d*e^2 - 102400*b*d^3*e -
    1728*c^5*d - 216000*c^3*e^2 + 172800*c^2*d^2*e - 20480*c*d^4 - 800000*d*e^3
;
M[4][2,1] :=
                                -M[4][1,2];
M[5][1,2] :=
-24576*a^5*c*e^2 + 27648*a^5*d^2*e + 9216*a^4*b^2*e^2 - 15360*a^4*b*c*d*e - 6912*a^4*b*d^3 + 4096*a^4*c^3*e + 
    2304*a^4*c^2*d^2 - 30720*a^4*d*e^2 + 2304*a^3*b^3*d*e - 768*a^3*b^2*c^2*e + 5376*a^3*b^2*c*d^2 - 3328*a^3*b*c^3*d + 
    168960*a^3*b*c*e^2 - 157440*a^3*b*d^2*e + 512*a^3*c^5 - 1536*a^3*c^2*d*e + 2304*a^3*c*d^3 - 128000*a^3*e^3 - 
    1152*a^2*b^4*d^2 + 768*a^2*b^3*c^2*d - 57600*a^2*b^3*e^2 - 128*a^2*b^2*c^4 + 76032*a^2*b^2*c*d*e + 36096*a^2*b^2*d^3 - 
    19712*a^2*b*c^3*e - 14592*a^2*b*c^2*d^2 + 249600*a^2*b*d*e^2 + 768*a^2*c^4*d - 147200*a^2*c^2*e^2 + 149760*a^2*c*d^2*e + 
    9216*a^2*d^4 - 9216*a*b^4*d*e + 3072*a*b^3*c^2*e - 23808*a*b^3*c*d^2 + 14848*a*b^2*c^3*d - 268800*a*b^2*c*e^2 + 
    176640*a*b^2*d^2*e - 2304*a*b*c^5 - 70400*a*b*c^2*d*e - 64512*a*b*c*d^3 + 480000*a*b*e^3 + 23040*a*c^4*e + 
    17664*a*c^3*d^2 - 32000*a*c*d*e^2 - 256000*a*d^3*e + 4608*b^5*d^2 - 3072*b^4*c^2*d + 86400*b^4*e^2 + 512*b^3*c^4 - 
    42240*b^3*c*d*e - 28672*b^3*d^3 + 7680*b^2*c^3*e + 55552*b^2*c^2*d^2 - 480000*b^2*d*e^2 - 25344*b*c^4*d + 
    384000*b*c^2*e^2 + 25600*b*c*d^2*e + 40960*b*d^4 + 3456*c^6 - 57600*c^3*d*e - 5120*c^2*d^3 - 800000*c*e^3 + 
    640000*d^2*e^2
;
M[5][2,1] :=
                                -M[5][1,2];
M[1][1,3] :=
131072*a^8*c*e^3 - 49152*a^7*b^2*e^3 - 98304*a^7*b*c*d*e^2 - 65536*a^7*c^3*e^2 + 73728*a^7*c^2*d^2*e - 13824*a^7*c*d^4 - 
    917504*a^7*d*e^3 + 36864*a^6*b^3*d*e^2 + 98304*a^6*b^2*c^2*e^2 - 30720*a^6*b^2*c*d^2*e + 5184*a^6*b^2*d^4 - 
    40960*a^6*b*c^3*d*e + 9216*a^6*b*c^2*d^3 - 1245184*a^6*b*c*e^3 + 688128*a^6*b*d^2*e^2 + 8192*a^6*c^5*e - 2048*a^6*c^4*d^2
    + 835584*a^6*c^2*d*e^2 - 700416*a^6*c*d^3*e + 96768*a^6*d^5 - 983040*a^6*e^4 - 41472*a^5*b^4*c*e^2 + 1152*a^5*b^4*d^2*e +
    24576*a^5*b^3*c^2*d*e - 5504*a^5*b^3*c*d^3 + 491520*a^5*b^3*e^3 - 5120*a^5*b^2*c^4*e + 1280*a^5*b^2*c^3*d^2 + 
    92160*a^5*b^2*c*d*e^2 + 90624*a^5*b^2*d^3*e + 368640*a^5*b*c^3*e^2 - 242688*a^5*b*c^2*d^2*e + 85248*a^5*b*c*d^4 + 
    9797632*a^5*b*d*e^3 - 45056*a^5*c^4*d*e - 2560*a^5*c^3*d^3 + 598016*a^5*c^2*e^3 - 1686528*a^5*c*d^2*e^2 + 
    647424*a^5*d^4*e + 5184*a^4*b^6*e^2 - 3456*a^4*b^5*c*d*e + 768*a^4*b^5*d^3 + 768*a^4*b^4*c^3*e - 192*a^4*b^4*c^2*d^2 - 
    202752*a^4*b^4*d*e^2 - 638976*a^4*b^3*c^2*e^2 + 153984*a^4*b^3*c*d^2*e - 44416*a^4*b^3*d^4 + 315392*a^4*b^2*c^3*d*e - 
    88896*a^4*b^2*c^2*d^3 + 3092480*a^4*b^2*c*e^3 - 5963136*a^4*b^2*d^2*e^2 - 63488*a^4*b*c^5*e + 29696*a^4*b*c^4*d^2 - 
    5686272*a^4*b*c^2*d*e^2 + 5331456*a^4*b*c*d^3*e - 944640*a^4*b*d^5 + 6144000*a^4*b*e^4 - 2048*a^4*c^6*d - 
    79872*a^4*c^4*e^2 + 50688*a^4*c^3*d^2*e + 19968*a^4*c^2*d^4 - 7987200*a^4*c*d*e^3 - 189440*a^4*d^3*e^2 + 
    286848*a^3*b^5*c*e^2 - 2880*a^3*b^5*d^2*e - 186816*a^3*b^4*c^2*d*e + 55552*a^3*b^4*c*d^3 - 1514880*a^3*b^4*e^3 + 
    40192*a^3*b^3*c^4*e - 18432*a^3*b^3*c^3*d^2 + 3404160*a^3*b^3*c*d*e^2 - 519168*a^3*b^3*d^3*e + 1280*a^3*b^2*c^5*d - 
    151808*a^3*b^2*c^3*e^2 - 1344960*a^3*b^2*c^2*d^2*e + 138240*a^3*b^2*c*d^4 - 32614400*a^3*b^2*d*e^3 + 289792*a^3*b*c^4*d*e
    - 28160*a^3*b*c^3*d^3 - 2124800*a^3*b*c^2*e^3 + 16650240*a^3*b*c*d^2*e^2 - 3955712*a^3*b*d^4*e + 18432*a^3*c^6*e - 
    2560*a^3*c^5*d^2 + 5757440*a^3*c^3*d*e^2 - 5394176*a^3*c^2*d^3*e + 819200*a^3*c*d^5 - 4800000*a^3*c*e^4 + 
    8512000*a^3*d^2*e^3 - 36288*a^2*b^7*e^2 + 25920*a^2*b^6*c*d*e - 7680*a^2*b^6*d^3 - 5952*a^2*b^5*c^3*e + 
    2688*a^2*b^5*c^2*d^2 + 3456*a^2*b^5*d*e^2 - 192*a^2*b^4*c^4*d + 830976*a^2*b^4*c^2*e^2 + 24384*a^2*b^4*c*d^2*e + 
    69632*a^2*b^4*d^4 - 562176*a^2*b^3*c^3*d*e + 207616*a^2*b^3*c^2*d^3 - 163200*a^2*b^3*c*e^3 + 15133440*a^2*b^3*d^2*e^2 + 
    108288*a^2*b^2*c^5*e - 88896*a^2*b^2*c^4*d^2 + 3082560*a^2*b^2*c^2*d*e^2 - 10898944*a^2*b^2*c*d^3*e + 2695168*a^2*b^2*d^5
    - 9720000*a^2*b^2*e^4 + 9216*a^2*b*c^6*d - 1059840*a^2*b*c^4*e^2 + 3426816*a^2*b*c^3*d^2*e - 586752*a^2*b*c^2*d^4 + 
    45504000*a^2*b*c*d*e^3 - 5452800*a^2*b*d^3*e^2 - 437760*a^2*c^5*d*e + 19968*a^2*c^4*d^3 - 4032000*a^2*c^3*e^3 - 
    18105600*a^2*c^2*d^2*e^2 + 10941440*a^2*c*d^4*e - 917504*a^2*d^6 - 4800000*a^2*d*e^4 - 473472*a*b^6*c*e^2 - 
    6912*a*b^6*d^2*e + 350592*a*b^5*c^2*d*e - 137216*a*b^5*c*d^3 + 1356480*a*b^5*e^3 - 78464*a*b^4*c^4*e + 
    55552*a*b^4*c^3*d^2 - 8273280*a*b^4*c*d*e^2 + 599040*a*b^4*d^3*e - 5504*a*b^3*c^5*d + 357120*a*b^3*c^3*e^2 + 
    4013568*a*b^3*c^2*d^2*e - 1130496*a*b^3*c*d^4 + 32640000*a*b^3*d*e^3 - 783552*a*b^2*c^4*d*e + 138240*a*b^2*c^3*d^3 - 
    744000*a*b^2*c^2*e^3 - 33945600*a*b^2*c*d^2*e^2 + 4648960*a*b^2*d^4*e - 13824*a*b*c^6*e + 85248*a*b*c^5*d^2 - 
    7180800*a*b*c^3*d*e^2 + 13414400*a*b*c^2*d^3*e - 3768320*a*b*c*d^5 + 5600000*a*b*c*e^4 - 35200000*a*b*d^2*e^3 - 
    13824*a*c^7*d + 2695680*a*c^5*e^2 - 2718720*a*c^4*d^2*e + 819200*a*c^3*d^4 + 13280000*a*c^2*d*e^3 + 3840000*a*c*d^3*e^2 -
    4669440*a*d^5*e - 12000000*a*e^5 + 62208*b^8*e^2 - 48384*b^7*c*d*e + 18432*b^7*d^3 + 11520*b^6*c^3*e - 7680*b^6*c^2*d^2 +
    850176*b^6*d*e^2 + 768*b^5*c^4*d + 191808*b^5*c^2*e^2 - 537600*b^5*c*d^2*e + 106496*b^5*d^4 - 51904*b^4*c^3*d*e + 
    69632*b^4*c^2*d^3 - 2808000*b^4*c*e^3 - 9753600*b^4*d^2*e^2 + 40896*b^3*c^5*e - 44416*b^3*c^4*d^2 + 
    14419200*b^3*c^2*d*e^2 + 5672960*b^3*c*d^3*e - 1736704*b^3*d^5 + 3600000*b^3*e^4 + 5184*b^2*c^6*d - 2289600*b^2*c^4*e^2 -
    9116160*b^2*c^3*d^2*e + 2695168*b^2*c^2*d^4 - 52800000*b^2*c*d*e^3 + 22016000*b^2*d^3*e^2 + 2854656*b*c^5*d*e - 
    944640*b*c^4*d^3 + 8640000*b*c^3*e^3 + 31488000*b*c^2*d^2*e^2 - 22528000*b*c*d^4*e + 4063232*b*d^6 + 49600000*b*d*e^4 - 
    248832*c^7*e + 96768*c^6*d^2 - 7776000*c^4*d*e^2 + 4838400*c^3*d^3*e - 917504*c^2*d^5 - 7200000*c^2*e^4 - 
    22400000*c*d^2*e^3 + 10240000*d^4*e^2
;
M[1][3,1] :=
                                -M[1][1,3];
M[2][1,3] :=
-1572864*a^7*c*e^3 + 442368*a^6*b^2*e^3 + 1327104*a^6*b*c*d*e^2 + 851968*a^6*c^3*e^2 - 921600*a^6*c^2*d^2*e + 
    124416*a^6*c*d^4 + 3145728*a^6*d*e^3 - 387072*a^5*b^3*d*e^2 - 1216512*a^5*b^2*c^2*e^2 + 198144*a^5*b^2*c*d^2*e - 
    31104*a^5*b^2*d^4 + 520192*a^5*b*c^3*d*e - 18432*a^5*b*c^2*d^3 + 10567680*a^5*b*c*e^3 - 2727936*a^5*b*d^2*e^2 - 
    98304*a^5*c^5*e - 3072*a^5*c^4*d^2 - 2629632*a^5*c^2*d*e^2 + 2119680*a^5*c*d^3*e - 228096*a^5*d^5 - 4915200*a^5*e^4 + 
    460800*a^4*b^4*c*e^2 + 27648*a^4*b^4*d^2*e - 198144*a^4*b^3*c^2*d*e + 16512*a^4*b^3*c*d^3 - 2672640*a^4*b^3*e^3 + 
    32768*a^4*b^2*c^4*e - 50816*a^4*b^2*c^3*d^2 - 5538816*a^4*b^2*c*d*e^2 + 103680*a^4*b^2*d^3*e + 28672*a^4*b*c^5*d - 
    4329472*a^4*b*c^3*e^2 + 4245504*a^4*b*c^2*d^2*e - 758016*a^4*b*c*d^4 - 15360000*a^4*b*d*e^3 - 4096*a^4*c^7 + 
    75776*a^4*c^4*d*e + 33792*a^4*c^3*d^3 - 9523200*a^4*c^2*e^3 - 660480*a^4*c*d^2*e^2 - 16128*a^4*d^4*e - 51840*a^3*b^6*e^2 
    - 5760*a^3*b^5*c*d*e - 5184*a^3*b^5*d^3 + 4992*a^3*b^4*c^3*e + 30528*a^3*b^4*c^2*d^2 + 1681920*a^3*b^4*d*e^2 - 
    17408*a^3*b^3*c^4*d + 5958144*a^3*b^3*c^2*e^2 - 906624*a^3*b^3*c*d^2*e + 121344*a^3*b^3*d^4 + 2560*a^3*b^2*c^6 - 
    2644224*a^3*b^2*c^3*d*e + 220992*a^3*b^2*c^2*d^3 - 18086400*a^3*b^2*c*e^3 + 14446080*a^3*b^2*d^2*e^2 + 507904*a^3*b*c^5*e
    - 34816*a^3*b*c^4*d^2 + 22978560*a^3*b*c^2*d*e^2 - 11272704*a^3*b*c*d^3*e + 1170432*a^3*b*d^5 + 30720000*a^3*b*e^4 + 
    4096*a^3*c^6*d + 5678080*a^3*c^4*e^2 - 6129152*a^3*c^3*d^2*e + 850176*a^3*c^2*d^4 + 37120000*a^3*c*d*e^3 - 
    64000*a^3*d^3*e^2 + 5184*a^2*b^7*d*e - 1728*a^2*b^6*c^2*e - 4032*a^2*b^6*c*d^2 + 2496*a^2*b^5*c^3*d - 
    2067840*a^2*b^5*c*e^2 - 129024*a^2*b^5*d^2*e - 384*a^2*b^4*c^5 + 909504*a^2*b^4*c^2*d*e - 83904*a^2*b^4*c*d^3 + 
    3916800*a^2*b^4*e^3 - 152576*a^2*b^3*c^4*e + 229120*a^2*b^3*c^3*d^2 - 2770560*a^2*b^3*c*d*e^2 - 632832*a^2*b^3*d^3*e - 
    128256*a^2*b^2*c^5*d - 4544640*a^2*b^2*c^3*e^2 - 398784*a^2*b^2*c^2*d^2*e + 1039872*a^2*b^2*c*d^4 + 96000*a^2*b^2*d*e^3 +
    18432*a^2*b*c^7 + 3099648*a^2*b*c^4*d*e - 344064*a^2*b*c^3*d^3 + 16896000*a^2*b*c^2*e^3 - 26649600*a^2*b*c*d^2*e^2 - 
    225280*a^2*b*d^4*e - 654336*a^2*c^6*e - 15360*a^2*c^5*d^2 - 26880000*a^2*c^3*d*e^2 + 24065280*a^2*c^2*d^3*e - 
    2853888*a^2*c*d^5 - 59200000*a^2*c*e^4 - 32320000*a^2*d^2*e^3 + 207360*a*b^7*e^2 + 33408*a*b^6*c*d*e + 20736*a*b^6*d^3 - 
    23424*a*b^5*c^3*e - 130176*a*b^5*c^2*d^2 - 311616*a*b^5*d*e^2 + 74624*a*b^4*c^4*d - 1186560*a*b^4*c^2*e^2 + 
    620928*a*b^4*c*d^2*e + 33792*a*b^4*d^4 - 11008*a*b^3*c^6 + 913664*a*b^3*c^3*d*e - 595968*a*b^3*c^2*d^3 + 
    14256000*a*b^3*c*e^3 - 8640000*a*b^3*d^2*e^2 - 242304*a*b^2*c^5*e - 97344*a*b^2*c^4*d^2 + 1214400*a*b^2*c^2*d*e^2 + 
    8872960*a*b^2*c*d^3*e - 544768*a*b^2*d^5 - 37200000*a*b^2*e^4 + 170496*a*b*c^6*d - 2841600*a*b*c^4*e^2 - 
    5160960*a*b*c^3*d^2*e - 1202176*a*b*c^2*d^4 - 6080000*a*b*c*d*e^3 + 27520000*a*b*d^3*e^2 - 27648*a*c^8 + 
    1557504*a*c^5*d*e + 256000*a*c^4*d^3 + 20800000*a*c^3*e^3 + 7776000*a*c^2*d^2*e^2 - 19712000*a*c*d^4*e + 2408448*a*d^6 + 
    90400000*a*d*e^4 - 20736*b^8*d*e + 6912*b^7*c^2*e + 16128*b^7*c*d^2 - 9984*b^6*c^3*d + 483840*b^6*c*e^2 + 52992*b^6*d^2*e
    + 1536*b^5*c^5 - 480960*b^5*c^2*d*e + 46080*b^5*c*d^3 - 1641600*b^5*e^3 + 117312*b^4*c^4*e + 110656*b^4*c^3*d^2 - 
    2289600*b^4*c*d*e^2 + 506880*b^4*d^3*e - 70976*b^3*c^5*d + 3148800*b^3*c^3*e^2 + 898560*b^3*c^2*d^2*e - 1175552*b^3*c*d^4
    + 19200000*b^3*d*e^3 + 10368*b^2*c^7 - 2141760*b^2*c^4*d*e + 1800704*b^2*c^3*d^3 - 31560000*b^2*c^2*e^3 - 
    7104000*b^2*c*d^2*e^2 - 307200*b^2*d^4*e + 414720*b*c^6*e - 645120*b*c^5*d^2 + 22656000*b*c^3*d*e^2 - 6630400*b*c^2*d^3*e
    + 1884160*b*c*d^5 + 84000000*b*c*e^4 - 44800000*b*d^2*e^3 + 69120*c^7*d - 2073600*c^5*e^2 - 115200*c^4*d^2*e - 
    240640*c^3*d^4 - 52000000*c^2*d*e^3 + 33920000*c*d^3*e^2 - 2867200*d^5*e - 60000000*e^5
;
M[2][3,1] :=
                                -M[2][1,3];
M[3][1,3] :=
-589824*a^7*b*e^3 + 294912*a^7*c*d*e^2 + 331776*a^6*b^2*d*e^2 + 294912*a^6*b*c^2*e^2 - 645120*a^6*b*c*d^2*e + 62208*a^6*b*d^4
    + 49152*a^6*c^3*d*e - 3244032*a^6*c*e^3 - 737280*a^6*d^2*e^2 - 350208*a^5*b^3*c*e^2 + 131328*a^5*b^3*d^2*e + 
    331776*a^5*b^2*c^2*d*e + 18432*a^5*b^2*c*d^3 + 6451200*a^5*b^2*e^3 - 86016*a^5*b*c^4*e - 16896*a^5*b*c^3*d^2 + 
    258048*a^5*b*c*d*e^2 + 866304*a^5*b*d^3*e + 2048*a^5*c^5*d + 1490944*a^5*c^3*e^2 - 1603584*a^5*c^2*d^2*e + 
    269568*a^5*c*d^4 + 6635520*a^5*d*e^3 + 69120*a^4*b^5*e^2 - 135936*a^4*b^4*c*d*e - 13248*a^4*b^4*d^3 + 38400*a^4*b^3*c^3*e
    - 33984*a^4*b^3*c^2*d^2 - 3700224*a^4*b^3*d*e^2 + 25344*a^4*b^2*c^4*d - 4478976*a^4*b^2*c^2*e^2 + 4545792*a^4*b^2*c*d^2*e
    - 745920*a^4*b^2*d^4 - 4096*a^4*b*c^6 + 541696*a^4*b*c^3*d*e - 103680*a^4*b*c^2*d^3 + 15820800*a^4*b*c*e^3 - 
    345600*a^4*b*d^2*e^2 - 137216*a^4*c^5*e + 31232*a^4*c^4*d^2 - 2519040*a^4*c^2*d*e^2 + 3225600*a^4*c*d^3*e - 
    518400*a^4*d^5 + 12096*a^3*b^6*d*e - 4032*a^3*b^5*c^2*e + 24768*a^3*b^5*c*d^2 - 15936*a^3*b^4*c^3*d + 
    3485952*a^3*b^4*c*e^2 - 691776*a^3*b^4*d^2*e + 2560*a^3*b^3*c^5 - 2459520*a^3*b^3*c^2*d*e + 188928*a^3*b^3*c*d^3 - 
    22521600*a^3*b^3*e^3 + 577280*a^3*b^2*c^4*e - 1472*a^3*b^2*c^3*d^2 - 1313280*a^3*b^2*c*d*e^2 - 5223168*a^3*b^2*d^3*e - 
    5120*a^3*b*c^5*d - 4426240*a^3*b*c^3*e^2 + 2439168*a^3*b*c^2*d^2*e - 654336*a^3*b*c*d^4 - 36096000*a^3*b*d*e^3 + 
    376832*a^3*c^4*d*e - 14080*a^3*c^3*d^3 - 24320000*a^3*c^2*e^3 - 4416000*a^3*c*d^2*e^2 - 675840*a^3*d^4*e - 
    3456*a^2*b^7*d^2 + 2304*a^2*b^6*c^2*d - 587520*a^2*b^6*e^2 - 384*a^2*b^5*c^4 + 760320*a^2*b^5*c*d*e + 19584*a^2*b^5*d^3 -
    202752*a^2*b^4*c^3*e + 161280*a^2*b^4*c^2*d^2 + 11217600*a^2*b^4*d*e^2 - 113536*a^2*b^3*c^4*d + 11972160*a^2*b^3*c^2*e^2 
    - 7697664*a^2*b^3*c*d^2*e + 2423808*a^2*b^3*d^4 + 18432*a^2*b^2*c^6 - 1094016*a^2*b^2*c^3*d*e + 493440*a^2*b^2*c^2*d^3 + 
    672000*a^2*b^2*c*e^3 + 16675200*a^2*b^2*d^2*e^2 + 50688*a^2*b*c^5*e - 248064*a^2*b*c^4*d^2 + 28281600*a^2*b*c^2*d*e^2 - 
    4408320*a^2*b*c*d^3*e + 2205696*a^2*b*d^5 - 7200000*a^2*b*e^4 + 13824*a^2*c^6*d + 10022400*a^2*c^4*e^2 - 
    10974720*a^2*c^3*d^2*e + 1735168*a^2*c^2*d^4 + 83200000*a^2*c*d*e^3 + 6080000*a^2*d^3*e^2 - 48384*a*b^7*d*e + 
    16128*a*b^6*c^2*e - 105984*a*b^6*c*d^2 + 68352*a*b^5*c^3*d - 8404416*a*b^5*c*e^2 + 610560*a*b^5*d^2*e - 11008*a*b^4*c^5 +
    3904704*a*b^4*c^2*d*e - 1300992*a*b^4*c*d^3 + 24552000*a*b^4*e^3 - 728000*a*b^3*c^4*e + 115712*a*b^3*c^3*d^2 - 
    24422400*a*b^3*c*d*e^2 + 5560320*a*b^3*d^3*e + 151488*a*b^2*c^5*d - 19665600*a*b^2*c^3*e^2 + 8006400*a*b^2*c^2*d^2*e - 
    3747840*a*b^2*c*d^4 + 32160000*a*b^2*d*e^3 - 27648*a*b*c^7 + 5448960*a*b*c^4*d*e - 370688*a*b*c^3*d^3 + 
    45760000*a*b*c^2*e^3 - 64896000*a*b*c*d^2*e^2 - 4403200*a*b*d^4*e - 884736*a*c^6*e + 179712*a*c^5*d^2 - 
    42336000*a*c^3*d*e^2 + 35993600*a*c^2*d^3*e - 5906432*a*c*d^5 - 37600000*a*c*e^4 - 70400000*a*d^2*e^3 + 13824*b^8*d^2 - 
    9216*b^7*c^2*d + 1244160*b^7*e^2 + 1536*b^6*c^4 - 769536*b^6*c*d*e + 147456*b^6*d^3 + 164352*b^5*c^3*e + 
    70272*b^5*c^2*d^2 - 6675840*b^5*d*e^2 - 65792*b^4*c^4*d + 8913600*b^4*c^2*e^2 + 3479040*b^4*c*d^2*e - 1425408*b^4*d^4 + 
    10368*b^3*c^6 - 5620480*b^3*c^3*d*e + 2360320*b^3*c^2*d^3 - 39840000*b^3*c*e^3 - 3456000*b^3*d^2*e^2 + 984960*b^2*c^5*e -
    750528*b^2*c^4*d^2 + 43440000*b^2*c^2*d*e^2 - 6041600*b^2*c*d^3*e + 1310720*b^2*d^5 + 33000000*b^2*e^4 + 69120*b*c^6*d - 
    10828800*b*c^3*d^2*e + 2017280*b*c^2*d^4 - 92800000*b*c*d*e^3 + 52480000*b*d^3*e^2 + 1589760*c^5*d*e - 380160*c^4*d^3 + 
    43200000*c^2*d^2*e^2 - 29696000*c*d^4*e + 4587520*d^6 + 76000000*d*e^4
;
M[3][3,1] :=
                                -M[3][1,3];
M[4][1,3] :=
-786432*a^8*e^3 + 589824*a^7*b*d*e^2 + 589824*a^7*c^2*e^2 - 663552*a^7*c*d^2*e + 82944*a^7*d^4 - 589824*a^6*b^2*c*e^2 + 
    101376*a^6*b^2*d^2*e + 368640*a^6*b*c^2*d*e + 7077888*a^6*b*e^3 - 81920*a^6*c^4*e - 6144*a^6*c^3*d^2 - 442368*a^6*c*d*e^2
    + 663552*a^6*d^3*e + 110592*a^5*b^4*e^2 - 119808*a^5*b^3*c*d*e - 8448*a^5*b^3*d^3 + 30720*a^5*b^2*c^3*e - 
    39168*a^5*b^2*c^2*d^2 - 4773888*a^5*b^2*d*e^2 + 26624*a^5*b*c^4*d - 4349952*a^5*b*c^2*e^2 + 4368384*a^5*b*c*d^2*e - 
    808704*a^5*b*d^4 - 4096*a^5*c^6 + 69632*a^5*c^3*d*e + 46080*a^5*c^2*d^3 - 6922240*a^5*c*e^3 - 1198080*a^5*d^2*e^2 + 
    6912*a^4*b^5*d*e - 2304*a^4*b^4*c^2*e + 25344*a^4*b^4*c*d^2 - 16128*a^4*b^3*c^3*d + 4248576*a^4*b^3*c*e^2 - 
    516096*a^4*b^3*d^2*e + 2560*a^4*b^2*c^5 - 2373120*a^4*b^2*c^2*d*e + 228096*a^4*b^2*c*d^3 - 20505600*a^4*b^2*e^3 + 
    497664*a^4*b*c^4*e - 46592*a^4*b*c^3*d^2 + 8970240*a^4*b*c*d*e^2 - 3714048*a^4*b*d^3*e + 6144*a^4*c^5*d + 
    4843520*a^4*c^3*e^2 - 5339136*a^4*c^2*d^2*e + 721152*a^4*c*d^4 + 7168000*a^4*d*e^3 - 3456*a^3*b^6*d^2 + 
    2304*a^3*b^5*c^2*d - 753408*a^3*b^5*e^2 - 384*a^3*b^4*c^4 + 645120*a^3*b^4*c*d*e + 576*a^3*b^4*d^3 - 155904*a^3*b^3*c^3*e
    + 187200*a^3*b^3*c^2*d^2 + 11324160*a^3*b^3*d*e^2 - 120320*a^3*b^2*c^4*d + 3874560*a^3*b^2*c^2*e^2 - 
    6928896*a^3*b^2*c*d^2*e + 2327040*a^3*b^2*d^4 + 18432*a^3*b*c^6 + 2502656*a^3*b*c^3*d*e - 349440*a^3*b*c^2*d^3 + 
    34560000*a^3*b*c*e^3 + 1651200*a^3*b*d^2*e^2 - 595968*a^3*c^5*e - 25088*a^3*c^4*d^2 - 9292800*a^3*c^2*d*e^2 + 
    10880000*a^3*c*d^3*e - 740352*a^3*d^5 - 9600000*a^3*e^4 - 22464*a^2*b^6*d*e + 7488*a^2*b^5*c^2*e - 108864*a^2*b^5*c*d^2 +
    69312*a^2*b^4*c^3*d - 7176960*a^2*b^4*c*e^2 + 392256*a^2*b^4*d^2*e - 11008*a^2*b^3*c^5 + 2963328*a^2*b^3*c^2*d*e - 
    1109504*a^2*b^3*c*d^3 + 19008000*a^2*b^3*e^3 - 501504*a^2*b^2*c^4*e + 85440*a^2*b^2*c^3*d^2 - 24787200*a^2*b^2*c*d*e^2 + 
    2833920*a^2*b^2*d^3*e + 147456*a^2*b*c^5*d - 15628800*a^2*b*c^3*e^2 + 10659840*a^2*b*c^2*d^2*e - 3912704*a^2*b*c*d^4 - 
    21120000*a^2*b*d*e^3 - 27648*a^2*c^7 + 1198080*a^2*c^4*d*e + 404224*a^2*c^3*d^3 - 5120000*a^2*c^2*e^3 - 
    13248000*a^2*c*d^2*e^2 - 5196800*a^2*d^4*e + 13824*a*b^7*d^2 - 9216*a*b^6*c^2*d + 1249344*a*b^6*e^2 + 1536*a*b^5*c^4 - 
    601344*a*b^5*c*d*e + 147456*a*b^5*d^3 + 110976*a*b^4*c^3*e + 52800*a*b^4*c^2*d^2 - 6984000*a*b^4*d*e^2 - 
    60288*a*b^3*c^4*d + 12168000*a*b^3*c^2*e^2 + 3747840*a*b^3*c*d^2*e - 1417216*a*b^3*d^4 + 10368*a*b^2*c^6 - 
    6768000*a*b^2*c^3*d*e + 2648576*a*b^2*c^2*d^3 - 44160000*a*b^2*c*e^3 + 9024000*a*b^2*d^2*e^2 + 1119744*a*b*c^5*e - 
    854784*a*b*c^4*d^2 + 42336000*a*b*c^2*d*e^2 - 13824000*a*b*c*d^3*e + 3473408*a*b*d^5 + 26400000*a*b*e^4 + 82944*a*c^6*d +
    5184000*a*c^4*e^2 - 7257600*a*c^3*d^2*e + 783360*a*c^2*d^4 + 9600000*a*c*d*e^3 + 19840000*a*d^3*e^2 - 20736*b^7*d*e + 
    6912*b^6*c^2*e + 2304*b^6*c*d^2 - 768*b^5*c^3*d - 630720*b^5*c*e^2 + 46080*b^5*d^2*e + 227520*b^4*c^2*d*e - 
    89088*b^4*c*d^3 + 1080000*b^4*e^3 - 35520*b^3*c^4*e + 37888*b^3*c^3*d^2 + 1728000*b^3*c*d*e^2 + 921600*b^3*d^3*e - 
    5184*b^2*c^5*d - 3816000*b^2*c^3*e^2 - 2265600*b^2*c^2*d^2*e + 143360*b^2*c*d^4 + 4800000*b^2*d*e^3 + 2592000*b*c^4*d*e -
    368640*b*c^3*d^3 + 14400000*b*c^2*e^3 - 9600000*b*c*d^2*e^2 - 2048000*b*d^4*e - 414720*c^6*e + 69120*c^5*d^2 - 
    12960000*c^3*d*e^2 + 9600000*c^2*d^3*e - 1392640*c*d^5 - 12000000*c*e^4 - 16000000*d^2*e^3
;
M[4][3,1] :=
                                -M[4][1,3];
M[5][1,3] :=
-786432*a^7*e^3 + 589824*a^6*b*d*e^2 + 589824*a^6*c^2*e^2 - 663552*a^6*c*d^2*e + 82944*a^6*d^4 - 589824*a^5*b^2*c*e^2 + 
    101376*a^5*b^2*d^2*e + 368640*a^5*b*c^2*d*e + 6881280*a^5*b*e^3 - 81920*a^5*c^4*e - 6144*a^5*c^3*d^2 - 737280*a^5*c*d*e^2
    + 663552*a^5*d^3*e + 110592*a^4*b^4*e^2 - 119808*a^4*b^3*c*d*e - 8448*a^4*b^3*d^3 + 30720*a^4*b^2*c^3*e - 
    39168*a^4*b^2*c^2*d^2 - 4515840*a^4*b^2*d*e^2 + 26624*a^4*b*c^4*d - 4055040*a^4*b*c^2*e^2 + 4349952*a^4*b*c*d^2*e - 
    787968*a^4*b*d^4 - 4096*a^4*c^6 + 20480*a^4*c^3*d*e + 46080*a^4*c^2*d^3 - 5120000*a^4*c*e^3 - 460800*a^4*d^2*e^2 + 
    6912*a^3*b^5*d*e - 2304*a^3*b^4*c^2*e + 25344*a^3*b^4*c*d^2 - 16128*a^3*b^3*c^3*d + 4008960*a^3*b^3*c*e^2 - 
    546048*a^3*b^3*d^2*e + 2560*a^3*b^2*c^5 - 2336256*a^3*b^2*c^2*d*e + 209664*a^3*b^2*c*d^3 - 19584000*a^3*b^2*e^3 + 
    501760*a^3*b*c^4*e - 35840*a^3*b*c^3*d^2 + 8908800*a^3*b*c*d*e^2 - 3916800*a^3*b*d^3*e + 4096*a^3*c^5*d + 
    3942400*a^3*c^3*e^2 - 4362240*a^3*c^2*d^2*e + 562176*a^3*c*d^4 + 5120000*a^3*d*e^3 - 3456*a^2*b^6*d^2 + 
    2304*a^2*b^5*c^2*d - 711936*a^2*b^5*e^2 - 384*a^2*b^4*c^4 + 661248*a^2*b^4*c*d*e + 5376*a^2*b^4*d^3 - 
    163584*a^2*b^3*c^3*e + 182016*a^2*b^3*c^2*d^2 + 10195200*a^2*b^3*d*e^2 - 119040*a^2*b^2*c^4*d + 3475200*a^2*b^2*c^2*e^2 -
    6892800*a^2*b^2*c*d^2*e + 2248704*a^2*b^2*d^4 + 18432*a^2*b*c^6 + 2288640*a^2*b*c^3*d*e - 264192*a^2*b*c^2*d^3 + 
    23040000*a^2*b*c*e^3 - 1536000*a^2*b*d^2*e^2 - 516096*a^2*c^5*e - 43008*a^2*c^4*d^2 - 9600000*a^2*c^2*d*e^2 + 
    9958400*a^2*c*d^3*e - 602112*a^2*d^5 - 9600000*a^2*e^4 - 27648*a*b^6*d*e + 9216*a*b^5*c^2*e - 108288*a*b^5*c*d^2 + 
    69120*a*b^4*c^3*d - 6336000*a*b^4*c*e^2 + 529920*a*b^4*d^2*e - 11008*a*b^3*c^5 + 2922240*a*b^3*c^2*d*e - 
    1054720*a*b^3*c*d^3 + 18720000*a*b^3*e^3 - 545280*a*b^2*c^4*e + 43776*a*b^2*c^3*d^2 - 17376000*a*b^2*c*d*e^2 + 
    3993600*a*b^2*d^3*e + 156672*a*b*c^5*d - 9984000*a*b*c^3*e^2 + 6220800*a*b*c^2*d^2*e - 3092480*a*b*c*d^4 - 
    9600000*a*b*d*e^3 - 27648*a*c^7 + 921600*a*c^4*d*e + 394240*a*c^3*d^3 + 6400000*a*c^2*e^3 - 5760000*a*c*d^2*e^2 - 
    5120000*a*d^4*e + 13824*b^7*d^2 - 9216*b^6*c^2*d + 1088640*b^6*e^2 + 1536*b^5*c^4 - 679680*b^5*c*d*e + 129024*b^5*d^3 + 
    145920*b^4*c^3*e + 74496*b^4*c^2*d^2 - 6624000*b^4*d*e^2 - 65792*b^3*c^4*d + 7488000*b^3*c^2*e^2 + 3532800*b^3*c*d^2*e - 
    1433600*b^3*d^4 + 10368*b^2*c^6 - 4857600*b^2*c^3*d*e + 2201600*b^2*c^2*d^3 - 31200000*b^2*c*e^3 + 7680000*b^2*d^2*e^2 + 
    829440*b*c^5*e - 714240*b*c^4*d^2 + 24960000*b*c^2*d*e^2 - 11776000*b*c*d^3*e + 2785280*b*d^5 + 24000000*b*e^4 + 
    69120*c^6*d - 1152000*c^3*d^2*e - 102400*c^2*d^4 - 16000000*c*d*e^3 + 12800000*d^3*e^2
;
M[5][3,1] :=
                                -M[5][1,3];
M[1][1,4] :=
-1048576*a^10*e^4 + 1048576*a^9*b*d*e^3 - 262144*a^9*c^2*e^3 - 589824*a^9*c*d^2*e^2 + 110592*a^9*d^4*e - 65536*a^8*b^2*c*e^3 
    - 172032*a^8*b^2*d^2*e^2 + 786432*a^8*b*c^2*d*e^2 + 73728*a^8*b*c*d^3*e - 27648*a^8*b*d^5 + 15990784*a^8*b*e^4 + 
    327680*a^8*c^4*e^2 - 425984*a^8*c^3*d^2*e + 82944*a^8*c^2*d^4 + 7471104*a^8*c*d*e^3 + 1474560*a^8*d^3*e^2 + 
    12288*a^7*b^4*e^3 - 319488*a^7*b^3*c*d*e^2 + 10240*a^7*b^3*d^3*e - 688128*a^7*b^2*c^3*e^2 + 227328*a^7*b^2*c^2*d^2*e - 
    36864*a^7*b^2*c*d^4 - 18382848*a^7*b^2*d*e^3 + 262144*a^7*b*c^4*d*e - 59392*a^7*b*c^3*d^3 + 1638400*a^7*b*c^2*e^3 + 
    516096*a^7*b*c*d^2*e^2 - 2202624*a^7*b*d^4*e - 49152*a^7*c^6*e + 12288*a^7*c^5*d^2 - 7602176*a^7*c^3*d*e^2 + 
    7139328*a^7*c^2*d^3*e - 1105920*a^7*c*d^5 - 851968*a^7*c*e^4 - 18194432*a^7*d^2*e^3 + 46080*a^6*b^5*d*e^2 + 
    427008*a^6*b^4*c^2*e^2 - 49152*a^6*b^4*c*d^2*e + 6272*a^6*b^4*d^4 - 223232*a^6*b^3*c^3*d*e + 50176*a^6*b^3*c^2*d^3 + 
    2318336*a^6*b^3*c*e^3 + 5339136*a^6*b^3*d^2*e^2 + 45056*a^6*b^2*c^5*e - 11264*a^6*b^2*c^4*d^2 + 1904640*a^6*b^2*c^2*d*e^2
    - 3907584*a^6*b^2*c*d^3*e + 866304*a^6*b^2*d^5 - 93904896*a^6*b^2*e^4 - 1392640*a^6*b*c^4*e^2 - 333824*a^6*b*c^3*d^2*e - 
    208896*a^6*b*c^2*d^4 - 68788224*a^6*b*c*d*e^3 - 1579008*a^6*b*d^3*e^2 + 598016*a^6*c^5*d*e - 62464*a^6*c^4*d^3 + 
    3047424*a^6*c^3*e^3 + 20576256*a^6*c^2*d^2*e^2 - 14936064*a^6*c*d^4*e + 1769472*a^6*d^6 - 25886720*a^6*d*e^4 - 
    110592*a^5*b^6*c*e^2 + 2304*a^5*b^6*d^2*e + 67584*a^5*b^5*c^2*d*e - 15104*a^5*b^5*c*d^3 - 371712*a^5*b^5*e^3 - 
    14336*a^5*b^4*c^4*e + 3584*a^5*b^4*c^3*d^2 - 1449984*a^5*b^4*c*d*e^2 + 26624*a^5*b^4*d^3*e + 4265984*a^5*b^3*c^3*e^2 + 
    949248*a^5*b^3*c^2*d^2*e - 125952*a^5*b^3*c*d^4 + 113956864*a^5*b^3*d*e^3 - 2456576*a^5*b^2*c^4*d*e + 
    675840*a^5*b^2*c^3*d^3 - 1583104*a^5*b^2*c^2*e^3 + 7434240*a^5*b^2*c*d^2*e^2 + 16702464*a^5*b^2*d^4*e + 
    389120*a^5*b*c^6*e - 184320*a^5*b*c^5*d^2 + 54036480*a^5*b*c^3*d*e^2 - 52058112*a^5*b*c^2*d^3*e + 9388032*a^5*b*c*d^5 + 
    73441280*a^5*b*c*e^4 + 198305792*a^5*b*d^2*e^3 + 12288*a^5*c^7*d - 1806336*a^5*c^5*e^2 + 1258496*a^5*c^4*d^2*e - 
    499712*a^5*c^3*d^4 + 43741184*a^5*c^2*d*e^3 - 8560640*a^5*c*d^3*e^2 + 8222720*a^5*d^5*e - 23040000*a^5*e^5 + 
    10368*a^4*b^8*e^2 - 6912*a^4*b^7*c*d*e + 1536*a^4*b^7*d^3 + 1536*a^4*b^6*c^3*e - 384*a^4*b^6*c^2*d^2 + 
    147456*a^4*b^6*d*e^2 - 2807808*a^4*b^5*c^2*e^2 - 57600*a^4*b^5*c*d^2*e + 5376*a^4*b^5*d^4 + 1723392*a^4*b^4*c^3*d*e - 
    507520*a^4*b^4*c^2*d^3 - 17926144*a^4*b^4*c*e^3 - 35672832*a^4*b^4*d^2*e^2 - 345088*a^4*b^3*c^5*e + 
    161792*a^4*b^3*c^4*d^2 - 43232256*a^4*b^3*c^2*d*e^2 + 25802752*a^4*b^3*c*d^3*e - 6246400*a^4*b^3*d^5 + 
    244992000*a^4*b^3*e^4 - 11264*a^4*b^2*c^6*d + 245760*a^4*b^2*c^4*e^2 + 19859456*a^4*b^2*c^3*d^2*e - 
    2906112*a^4*b^2*c^2*d^4 + 105512960*a^4*b^2*c*d*e^3 - 68665344*a^4*b^2*d^3*e^2 - 5414912*a^4*b*c^5*d*e + 
    1144832*a^4*b*c^4*d^3 - 39618560*a^4*b*c^3*e^3 - 161261568*a^4*b*c^2*d^2*e^2 + 101755904*a^4*b*c*d^4*e - 
    16584704*a^4*b*d^6 + 150144000*a^4*b*d*e^4 + 110592*a^4*c^7*e - 62464*a^4*c^6*d^2 - 43420672*a^4*c^4*d*e^2 + 
    43454464*a^4*c^3*d^3*e - 6488064*a^4*c^2*d^5 + 59008000*a^4*c^2*e^4 - 246886400*a^4*c*d^2*e^3 - 7782400*a^4*d^4*e^2 + 
    753408*a^3*b^7*c*e^2 - 5760*a^3*b^7*d^2*e - 502656*a^3*b^6*c^2*d*e + 150016*a^3*b^6*c*d^3 + 2734848*a^3*b^6*e^3 + 
    110080*a^3*b^5*c^4*e - 50688*a^3*b^5*c^3*d^2 + 24131328*a^3*b^5*c*d*e^2 - 207360*a^3*b^5*d^3*e + 3584*a^3*b^4*c^5*d - 
    6236672*a^3*b^4*c^3*e^2 - 16501632*a^3*b^4*c^2*d^2*e + 3391488*a^3*b^4*c*d^4 - 286960640*a^3*b^4*d*e^3 + 
    8053760*a^3*b^3*c^4*d*e - 2660352*a^3*b^3*c^3*d^3 + 31759360*a^3*b^3*c^2*e^3 + 70834176*a^3*b^3*c*d^2*e^2 - 
    50984960*a^3*b^3*d^4*e - 903168*a^3*b^2*c^6*e + 675840*a^3*b^2*c^5*d^2 - 52441088*a^3*b^2*c^3*d*e^2 + 
    73815040*a^3*b^2*c^2*d^3*e - 15376384*a^3*b^2*c*d^5 - 466944000*a^3*b^2*c*e^4 - 609331200*a^3*b^2*d^2*e^3 - 
    59392*a^3*b*c^7*d + 20520960*a^3*b*c^5*e^2 - 34554880*a^3*b*c^4*d^2*e + 5881856*a^3*b*c^3*d^4 - 173516800*a^3*b*c^2*d*e^3
    + 216555520*a^3*b*c*d^3*e^2 - 42852352*a^3*b*d^5*e + 182400000*a^3*b*e^5 + 4387840*a^3*c^6*d*e - 499712*a^3*c^5*d^3 + 
    40320000*a^3*c^4*e^3 + 222453760*a^3*c^3*d^2*e^2 - 172795904*a^3*c^2*d^4*e + 23068672*a^3*c*d^6 - 235520000*a^3*c*d*e^4 +
    198144000*a^3*d^3*e^3 - 72576*a^2*b^9*e^2 + 51840*a^2*b^8*c*d*e - 15360*a^2*b^8*d^3 - 11904*a^2*b^7*c^3*e + 
    5376*a^2*b^7*c^2*d^2 - 2992896*a^2*b^7*d*e^2 - 384*a^2*b^6*c^4*d + 4302336*a^2*b^6*c^2*e^2 + 2185344*a^2*b^6*c*d^2*e - 
    421888*a^2*b^6*d^4 - 3598848*a^2*b^5*c^3*d*e + 1378816*a^2*b^5*c^2*d^3 + 37191936*a^2*b^5*c*e^3 + 
    75926016*a^2*b^5*d^2*e^2 + 670208*a^2*b^4*c^5*e - 507520*a^2*b^4*c^4*d^2 + 66254976*a^2*b^4*c^2*d*e^2 - 
    49672704*a^2*b^4*c*d^3*e + 14729216*a^2*b^4*d^5 - 233712000*a^2*b^4*e^4 + 50176*a^2*b^3*c^6*d - 12566528*a^2*b^3*c^4*e^2 
    - 27710464*a^2*b^3*c^3*d^2*e + 6787072*a^2*b^3*c^2*d^4 + 316262400*a^2*b^3*c*d*e^3 + 225832960*a^2*b^3*d^3*e^2 + 
    11977728*a^2*b^2*c^5*d*e - 2906112*a^2*b^2*c^4*d^3 + 88934400*a^2*b^2*c^3*e^3 + 85632000*a^2*b^2*c^2*d^2*e^2 - 
    139429888*a^2*b^2*c*d^4*e + 41091072*a^2*b^2*d^6 - 218880000*a^2*b^2*d*e^4 - 857088*a^2*b*c^7*e - 208896*a^2*b*c^6*d^2 + 
    55464960*a^2*b*c^4*d*e^2 - 68532224*a^2*b*c^3*d^3*e + 18800640*a^2*b*c^2*d^5 + 106240000*a^2*b*c^2*e^4 + 
    1399552000*a^2*b*c*d^2*e^3 - 105062400*a^2*b*d^4*e^2 + 82944*a^2*c^8*d - 29113344*a^2*c^6*e^2 + 22336512*a^2*c^5*d^2*e - 
    6488064*a^2*c^4*d^4 - 257536000*a^2*c^3*d*e^3 - 288307200*a^2*c^2*d^3*e^2 + 197435392*a^2*c*d^5*e - 6400000*a^2*c*e^5 - 
    16777216*a^2*d^7 + 102400000*a^2*d^2*e^4 - 1223424*a*b^8*c*e^2 - 13824*a*b^8*d^2*e + 922368*a*b^7*c^2*d*e - 
    364544*a*b^7*c*d^3 - 5747328*a*b^7*e^3 - 210176*a*b^6*c^4*e + 150016*a*b^6*c^3*d^2 - 51465984*a*b^6*c*d*e^2 - 
    307200*a*b^6*d^3*e - 15104*a*b^5*c^5*d + 6961152*a*b^5*c^3*e^2 + 34738176*a*b^5*c^2*d^2*e - 9420800*a*b^5*c*d^4 + 
    232343040*a*b^5*d*e^3 - 11675008*a*b^4*c^4*d*e + 3391488*a*b^4*c^3*d^3 - 150748800*a*b^4*c^2*e^3 - 
    260029440*a*b^4*c*d^2*e^2 + 47382528*a*b^4*d^4*e + 884736*a*b^3*c^6*e - 125952*a*b^3*c^5*d^2 - 30853120*a*b^3*c^3*d*e^2 +
    40169472*a*b^3*c^2*d^3*e - 19857408*a*b^3*c*d^5 + 679040000*a*b^3*c*e^4 + 406784000*a*b^3*d^2*e^3 - 36864*a*b^2*c^7*d + 
    17620992*a*b^2*c^5*e^2 + 65304576*a*b^2*c^4*d^2*e - 15376384*a*b^2*c^3*d^4 - 224128000*a*b^2*c^2*d*e^3 - 
    620236800*a*b^2*c*d^3*e^2 + 20905984*a*b^2*d^5*e - 412800000*a*b^2*e^5 - 30532608*a*b*c^6*d*e + 9388032*a*b*c^5*d^3 - 
    129024000*a*b*c^4*e^3 - 268185600*a*b*c^3*d^2*e^2 + 437288960*a*b*c^2*d^4*e - 98828288*a*b*c*d^6 - 51200000*a*b*c*d*e^4 -
    977920000*a*b*d^3*e^3 + 2985984*a*c^8*e - 1105920*a*c^7*d^2 + 124323840*a*c^5*d*e^2 - 104202240*a*c^4*d^3*e + 
    23068672*a*c^3*d^5 + 230400000*a*c^3*e^4 + 165120000*a*c^2*d^2*e^3 + 47104000*a*c*d^4*e^2 - 63569920*a*d^6*e - 
    416000000*a*d*e^5 + 124416*b^10*e^2 - 96768*b^9*c*d*e + 36864*b^9*d^3 + 23040*b^8*c^3*e - 15360*b^8*c^2*d^2 + 
    6621696*b^8*d*e^2 + 1536*b^7*c^4*d - 777600*b^7*c^2*e^2 - 4558848*b^7*c*d^2*e + 1212416*b^7*d^4 + 1503872*b^6*c^3*d*e - 
    421888*b^6*c^2*d^3 + 7655040*b^6*c*e^3 - 32169984*b^6*d^2*e^2 - 102528*b^5*c^5*e + 5376*b^5*c^4*d^2 + 
    58985472*b^5*c^2*d*e^2 + 23674880*b^5*c*d^3*e - 7077888*b^5*d^5 + 7200000*b^5*e^4 + 6272*b^4*c^6*d - 10992000*b^4*c^4*e^2
    - 48286208*b^4*c^3*d^2*e + 14729216*b^4*c^2*d^4 - 396864000*b^4*c*d*e^3 - 96256000*b^4*d^3*e^2 + 17413120*b^3*c^5*d*e - 
    6246400*b^3*c^4*d^3 + 157824000*b^3*c^3*e^3 + 511334400*b^3*c^2*d^2*e^2 - 18677760*b^3*c*d^4*e - 11010048*b^3*d^6 + 
    294400000*b^3*d*e^4 - 1741824*b^2*c^7*e + 866304*b^2*c^6*d^2 - 189772800*b^2*c^4*d*e^2 - 121251840*b^2*c^3*d^3*e + 
    41091072*b^2*c^2*d^5 - 604800000*b^2*c^2*e^4 - 917760000*b^2*c*d^2*e^3 + 524288000*b^2*d^4*e^2 - 27648*b*c^8*d + 
    17418240*b*c^6*e^2 + 51987456*b*c^5*d^2*e - 16584704*b*c^4*d^4 + 682240000*b*c^3*d*e^3 + 239616000*b*c^2*d^3*e^2 - 
    365035520*b*c*d^5*e + 624000000*b*c*e^5 + 70254592*b*d^7 + 857600000*b*d^2*e^4 - 5280768*c^7*d*e + 1769472*c^6*d^3 - 
    51840000*c^5*e^3 - 122112000*c^4*d^2*e^2 + 91136000*c^3*d^4*e - 16777216*c^2*d^6 - 620800000*c^2*d*e^4 + 
    25600000*c*d^3*e^3 + 81920000*d^5*e^2
;
M[1][4,1] :=
                                -M[1][1,4];
M[2][1,4] :=
11534336*a^9*e^4 - 13500416*a^8*b*d*e^3 + 9699328*a^8*c^2*e^3 + 6782976*a^8*c*d^2*e^2 - 884736*a^8*d^4*e - 
    1736704*a^7*b^2*c*e^3 + 3588096*a^7*b^2*d^2*e^2 - 14745600*a^7*b*c^2*d*e^2 - 2064384*a^7*b*c*d^3*e + 304128*a^7*b*d^5 - 
    114163712*a^7*b*e^4 - 7667712*a^7*c^4*e^2 + 9256960*a^7*c^3*d^2*e - 1437696*a^7*c^2*d^4 - 52494336*a^7*c*d*e^3 - 
    1916928*a^7*d^3*e^2 - 49152*a^6*b^4*e^3 + 5357568*a^6*b^3*c*d*e^2 - 260096*a^6*b^3*d^3*e + 14204928*a^6*b^2*c^3*e^2 - 
    3293184*a^6*b^2*c^2*d^2*e + 700416*a^6*b^2*c*d^4 + 142098432*a^6*b^2*d*e^3 - 5627904*a^6*b*c^4*d*e + 573440*a^6*b*c^3*d^3
    - 65470464*a^6*b*c^2*e^3 - 14843904*a^6*b*c*d^2*e^2 + 8561664*a^6*b*d^4*e + 1032192*a^6*c^6*e - 83968*a^6*c^5*d^2 + 
    41517056*a^6*c^3*d*e^2 - 36691968*a^6*c^2*d^3*e + 5142528*a^6*c*d^5 + 212172800*a^6*c*e^4 + 52871168*a^6*d^2*e^3 - 
    543744*a^5*b^5*d*e^2 - 7852032*a^5*b^4*c^2*e^2 + 328704*a^5*b^4*c*d^2*e - 55552*a^5*b^4*d^4 + 3727360*a^5*b^3*c^3*d*e - 
    590848*a^5*b^3*c^2*d^3 + 1146880*a^5*b^3*c*e^3 - 46417920*a^5*b^3*d^2*e^2 - 698368*a^5*b^2*c^5*e + 437248*a^5*b^2*c^4*d^2
    + 49668096*a^5*b^2*c^2*d*e^2 + 28545024*a^5*b^2*c*d^3*e - 4101120*a^5*b^2*d^5 + 343080960*a^5*b^2*e^4 - 
    180224*a^5*b*c^6*d + 41164800*a^5*b*c^4*e^2 - 40312832*a^5*b*c^3*d^2*e + 7809024*a^5*b*c^2*d^4 + 129892352*a^5*b*c*d*e^3 
    - 27457536*a^5*b*d^3*e^2 + 24576*a^5*c^8 - 2297856*a^5*c^5*d*e - 33792*a^5*c^4*d^3 + 20430848*a^5*c^3*e^3 + 
    52101120*a^5*c^2*d^2*e^2 + 24047616*a^5*c*d^4*e - 5031936*a^5*d^6 - 291225600*a^5*d*e^4 + 1778688*a^4*b^6*c*e^2 + 
    18432*a^4*b^6*d^2*e - 709632*a^4*b^5*c^2*d*e + 163072*a^4*b^5*c*d^3 + 2565120*a^4*b^5*e^3 + 113664*a^4*b^4*c^4*e - 
    304384*a^4*b^4*c^3*d^2 - 9486336*a^4*b^4*c*d*e^2 + 2580992*a^4*b^4*d^3*e + 156672*a^4*b^3*c^5*d - 
    76652544*a^4*b^3*c^3*e^2 + 6792192*a^4*b^3*c^2*d^2*e - 2982912*a^4*b^3*c*d^4 - 445941760*a^4*b^3*d*e^3 - 
    22528*a^4*b^2*c^7 + 33936384*a^4*b^2*c^4*d*e - 4679680*a^4*b^2*c^3*d^3 + 195993600*a^4*b^2*c^2*e^3 - 
    27156480*a^4*b^2*c*d^2*e^2 - 26320896*a^4*b^2*d^4*e - 6004736*a^4*b*c^6*e + 1128448*a^4*b*c^5*d^2 - 
    353566720*a^4*b*c^3*d*e^2 + 171681792*a^4*b*c^2*d^3*e - 24499200*a^4*b*c*d^5 - 1245184000*a^4*b*c*e^4 - 
    57088000*a^4*b*d^2*e^3 - 69632*a^4*c^7*d - 49915904*a^4*c^5*e^2 + 67128320*a^4*c^4*d^2*e - 10391552*a^4*c^3*d^4 - 
    352051200*a^4*c^2*d*e^3 - 150712320*a^4*c*d^3*e^2 + 18593792*a^4*d^5*e + 153600000*a^4*e^5 - 145152*a^3*b^8*e^2 - 
    11520*a^3*b^7*c*d*e - 16512*a^3*b^7*d^3 + 13056*a^3*b^6*c^3*e + 84096*a^3*b^6*c^2*d^2 - 253440*a^3*b^6*d*e^2 - 
    48128*a^3*b^5*c^4*d + 39232512*a^3*b^5*c^2*e^2 - 695040*a^3*b^5*c*d^2*e - 50688*a^3*b^5*d^4 + 7168*a^3*b^4*c^6 - 
    19343872*a^3*b^4*c^3*d*e + 4113024*a^3*b^4*c^2*d^3 + 1950720*a^3*b^4*c*e^3 + 156684288*a^3*b^4*d^2*e^2 + 
    3672064*a^3*b^3*c^5*e - 2655232*a^3*b^3*c^4*d^2 + 102079488*a^3*b^3*c^2*d*e^2 - 102029312*a^3*b^3*c*d^3*e + 
    13625344*a^3*b^3*d^5 - 240384000*a^3*b^3*e^4 + 929792*a^3*b^2*c^6*d + 57049088*a^3*b^2*c^4*e^2 - 
    11986944*a^3*b^2*c^3*d^2*e - 3689472*a^3*b^2*c^2*d^4 + 559206400*a^3*b^2*c*d*e^3 + 158361600*a^3*b^2*d^3*e^2 - 
    118784*a^3*b*c^8 - 30672896*a^3*b*c^5*d*e + 4652032*a^3*b*c^4*d^3 + 55910400*a^3*b*c^3*e^3 + 240691200*a^3*b*c^2*d^2*e^2 
    - 112508928*a^3*b*c*d^4*e + 23388160*a^3*b*d^6 + 1457280000*a^3*b*d*e^4 + 7559168*a^3*c^7*e - 695296*a^3*c^6*d^2 + 
    364221440*a^3*c^4*d*e^2 - 342499328*a^3*c^3*d^3*e + 49469440*a^3*c^2*d^5 + 1134080000*a^3*c^2*e^4 + 
    907264000*a^3*c*d^2*e^3 + 18534400*a^3*d^4*e^2 + 10368*a^2*b^9*d*e - 3456*a^2*b^8*c^2*e - 8064*a^2*b^8*c*d^2 + 
    4992*a^2*b^7*c^3*d - 8020224*a^2*b^7*c*e^2 + 41472*a^2*b^7*d^2*e - 768*a^2*b^6*c^5 + 3242880*a^2*b^6*c^2*d*e - 
    873856*a^2*b^6*c*d^3 - 8326656*a^2*b^6*e^3 - 537600*a^2*b^5*c^4*e + 1423872*a^2*b^5*c^3*d^2 - 60403968*a^2*b^5*c*d*e^2 - 
    7649280*a^2*b^5*d^3*e - 705024*a^2*b^4*c^5*d + 27384576*a^2*b^4*c^3*e^2 + 32318592*a^2*b^4*c^2*d^2*e + 
    798208*a^2*b^4*c*d^4 + 356390400*a^2*b^4*d*e^3 + 100352*a^2*b^3*c^7 - 22302720*a^2*b^3*c^4*d*e + 6071296*a^2*b^3*c^3*d^3 
    - 502656000*a^2*b^3*c^2*e^3 - 280381440*a^2*b^3*c*d^2*e^2 + 26722304*a^2*b^3*d^4*e + 3025920*a^2*b^2*c^6*e - 
    592896*a^2*b^2*c^5*d^2 + 118056960*a^2*b^2*c^3*d*e^2 + 28294144*a^2*b^2*c^2*d^3*e - 2467840*a^2*b^2*c*d^5 + 
    1344000000*a^2*b^2*c*e^4 - 935424000*a^2*b^2*d^2*e^3 - 887808*a^2*b*c^7*d + 35672064*a^2*b*c^5*e^2 + 
    38897664*a^2*b*c^4*d^2*e + 6834176*a^2*b*c^3*d^4 - 690432000*a^2*b*c^2*d*e^3 - 85248000*a^2*b*c*d^3*e^2 - 
    93356032*a^2*b*d^5*e - 585600000*a^2*b*e^5 + 165888*a^2*c^9 - 25193472*a^2*c^6*d*e + 488448*a^2*c^5*d^3 - 
    426368000*a^2*c^4*e^3 - 238387200*a^2*c^3*d^2*e^2 + 554956800*a^2*c^2*d^4*e - 86728704*a^2*c*d^6 - 3360000000*a^2*c*d*e^4
    - 529920000*a^2*d^3*e^3 + 580608*a*b^9*e^2 + 66816*a*b^8*c*d*e + 66048*a*b^8*d^3 - 59136*a*b^7*c^3*e - 
    352512*a*b^7*c^2*d^2 + 10325376*a*b^7*d*e^2 + 202496*a*b^6*c^4*d - 19031040*a*b^6*c^2*e^2 - 2140416*a*b^6*c*d^2*e + 
    1159168*a*b^6*d^4 - 30208*a*b^5*c^6 + 12879360*a*b^5*c^3*d*e - 6441984*a*b^5*c^2*d^3 + 115833600*a*b^5*c*e^3 - 
    95878656*a*b^5*d^2*e^2 - 2773248*a*b^4*c^5*e + 1816960*a*b^4*c^4*d^2 + 72216960*a*b^4*c^2*d*e^2 + 76788736*a*b^4*c*d^3*e 
    - 6455296*a*b^4*d^5 - 156000000*a*b^4*e^4 + 208896*a*b^3*c^6*d - 98928640*a*b^3*c^4*e^2 - 86718464*a*b^3*c^3*d^2*e + 
    6746112*a*b^3*c^2*d^4 - 188672000*a*b^3*c*d*e^3 + 77875200*a*b^3*d^3*e^2 - 73728*a*b^2*c^8 + 75608064*a*b^2*c^5*d*e - 
    20903936*a*b^2*c^4*d^3 + 786688000*a*b^2*c^3*e^3 + 184857600*a*b^2*c^2*d^2*e^2 - 26112000*a*b^2*c*d^4*e + 
    3211264*a*b^2*d^6 - 873600000*a*b^2*d*e^4 - 11907072*a*b*c^7*e + 7412736*a*b*c^6*d^2 - 558489600*a*b*c^4*d*e^2 + 
    56176640*a*b*c^3*d^3*e - 24297472*a*b*c^2*d^5 - 1804800000*a*b*c^2*e^4 + 1571840000*a*b*c*d^2*e^3 + 351232000*a*b*d^4*e^2
    - 718848*a*c^8*d + 27187200*a*c^6*e^2 + 54749184*a*c^5*d^2*e - 4734976*a*c^4*d^4 + 1735680000*a*c^3*d*e^3 - 
    1052416000*a*c^2*d^3*e^2 - 154419200*a*c*d^5*e + 1600000000*a*c*e^5 + 49676288*a*d^7 + 2374400000*a*d^2*e^4 - 
    41472*b^10*d*e + 13824*b^9*c^2*e + 32256*b^9*c*d^2 - 19968*b^8*c^3*d + 2460672*b^8*c*e^2 - 502272*b^8*d^2*e + 
    3072*b^7*c^5 - 1643904*b^7*c^2*d*e + 786432*b^7*c*d^3 - 5771520*b^7*e^3 + 418944*b^6*c^4*e - 212864*b^6*c^3*d^2 - 
    9131904*b^6*c*d*e^2 + 5148672*b^6*d^3*e - 43648*b^5*c^5*d + 20872704*b^5*c^3*e^2 - 864768*b^5*c^2*d^2*e - 
    5832704*b^5*c*d^4 - 76800*b^5*d*e^3 + 12544*b^4*c^7 - 12307072*b^4*c^4*d*e + 11548160*b^4*c^3*d^3 - 127056000*b^4*c^2*e^3
    - 268800*b^4*c*d^2*e^2 - 11632640*b^4*d^4*e + 2671616*b^3*c^6*e - 5101568*b^3*c^5*d^2 + 87270400*b^3*c^3*d*e^2 - 
    17172480*b^3*c^2*d^3*e - 3538944*b^3*c*d^5 + 355200000*b^3*c*e^4 + 458240000*b^3*d^2*e^3 + 875520*b^2*c^7*d + 
    22087680*b^2*c^5*e^2 - 721920*b^2*c^4*d^2*e + 13760512*b^2*c^3*d^4 - 1070720000*b^2*c^2*d*e^3 - 222464000*b^2*c*d^3*e^2 +
    57999360*b^2*d^5*e - 192000000*b^2*e^5 - 55296*b*c^9 - 20772864*b*c^6*d*e - 1899520*b*c^5*d^3 - 58240000*b*c^4*e^3 + 
    678144000*b*c^3*d^2*e^2 - 164454400*b*c^2*d^4*e + 23724032*b*c*d^6 + 2569600000*b*c*d*e^4 - 1382400000*b*d^3*e^3 + 
    4368384*c^8*e - 193536*c^7*d^2 - 22348800*c^5*d*e^2 - 36147200*c^4*d^3*e + 5152768*c^3*d^5 - 89600000*c^3*e^4 - 
    1504000000*c^2*d^2*e^3 + 1131520000*c*d^4*e^2 - 154009600*d^6*e - 2080000000*d*e^5
;
M[2][4,1] :=
                                -M[2][1,4];
M[3][1,4] :=
-3932160*a^9*d*e^3 + 8650752*a^8*b*c*e^3 + 4276224*a^8*b*d^2*e^2 - 1376256*a^8*c^2*d*e^2 - 884736*a^8*c*d^3*e + 
    165888*a^8*d^5 + 31195136*a^8*e^4 - 2998272*a^7*b^3*e^3 - 7520256*a^7*b^2*c*d*e^2 - 1069056*a^7*b^2*d^3*e - 
    3932160*a^7*b*c^3*e^2 + 7544832*a^7*b*c^2*d^2*e - 1022976*a^7*b*c*d^4 - 8683520*a^7*b*d*e^3 - 409600*a^7*c^4*d*e + 
    24576*a^7*c^3*d^3 + 10551296*a^7*c^2*e^3 + 21479424*a^7*c*d^2*e^2 - 2488320*a^7*d^4*e + 2525184*a^6*b^4*d*e^2 + 
    6463488*a^6*b^3*c^2*e^2 - 2672640*a^6*b^3*c*d^2*e + 476160*a^6*b^3*d^4 - 3784704*a^6*b^2*c^3*d*e + 190464*a^6*b^2*c^2*d^3
    - 77824000*a^6*b^2*c*e^3 - 24834048*a^6*b^2*d^2*e^2 + 868352*a^6*b*c^5*e + 25600*a^6*b*c^4*d^2 - 442368*a^6*b*c^2*d*e^2 -
    12619776*a^6*b*c*d^3*e + 912384*a^6*b*d^5 - 307281920*a^6*b*e^4 - 12288*a^6*c^6*d - 10338304*a^6*c^4*e^2 + 
    12812288*a^6*c^3*d^2*e - 2174976*a^6*c^2*d^4 - 128778240*a^6*c*d*e^3 - 9154560*a^6*d^3*e^2 - 2755584*a^5*b^5*c*e^2 + 
    170496*a^5*b^5*d^2*e + 2482176*a^5*b^4*c^2*d*e - 199680*a^5*b^4*c*d^3 + 26634240*a^5*b^4*e^3 - 601088*a^5*b^3*c^4*e + 
    279552*a^5*b^3*c^3*d^2 + 62361600*a^5*b^3*c*d*e^2 + 13146112*a^5*b^3*d^3*e - 156672*a^5*b^2*c^5*d + 
    49815552*a^5*b^2*c^3*e^2 - 54749184*a^5*b^2*c^2*d^2*e + 9802752*a^5*b^2*c*d^4 + 336826368*a^5*b^2*d*e^3 + 24576*a^5*b*c^7
    - 5367808*a^5*b*c^4*d*e + 759808*a^5*b*c^3*d^3 + 23748608*a^5*b*c^2*e^3 - 62515200*a^5*b*c*d^2*e^2 + 31755264*a^5*b*d^4*e
    + 1175552*a^5*c^6*e - 252928*a^5*c^5*d^2 + 50470912*a^5*c^3*d*e^2 - 58724352*a^5*c^2*d^3*e + 9971712*a^5*c*d^5 + 
    400998400*a^5*c*e^4 + 96440320*a^5*d^2*e^3 + 345600*a^4*b^7*e^2 - 474624*a^4*b^6*c*d*e + 22656*a^4*b^6*d^3 + 
    129024*a^4*b^5*c^3*e - 226176*a^4*b^5*c^2*d^2 - 20219904*a^4*b^5*d*e^2 + 141824*a^4*b^4*c^4*d - 60248064*a^4*b^4*c^2*e^2 
    + 15791616*a^4*b^4*c*d^2*e - 4385152*a^4*b^4*d^4 - 22528*a^4*b^3*c^6 + 32391168*a^4*b^3*c^3*d*e - 4075520*a^4*b^3*c^2*d^3
    + 171980800*a^4*b^3*c*e^3 - 36397056*a^4*b^3*d^2*e^2 - 6803456*a^4*b^2*c^5*e + 926720*a^4*b^2*c^4*d^2 - 
    118044672*a^4*b^2*c^2*d*e^2 + 127242240*a^4*b^2*c*d^3*e - 19421184*a^4*b^2*d^5 + 978432000*a^4*b^2*e^4 - 
    10240*a^4*b*c^6*d + 14820352*a^4*b*c^4*e^2 + 12390400*a^4*b*c^3*d^2*e - 562176*a^4*b*c^2*d^4 + 199782400*a^4*b*c*d*e^3 - 
    21473280*a^4*b*d^3*e^2 - 5728256*a^4*c^5*d*e + 879616*a^4*c^4*d^3 + 15155200*a^4*c^3*e^3 + 152432640*a^4*c^2*d^2*e^2 + 
    17833984*a^4*c*d^4*e - 6825984*a^4*d^6 - 341760000*a^4*d*e^4 + 24192*a^3*b^8*d*e - 8064*a^3*b^7*c^2*e + 
    67968*a^3*b^7*c*d^2 - 44160*a^3*b^6*c^3*d + 22947840*a^3*b^6*c*e^2 - 531072*a^3*b^6*d^2*e + 7168*a^3*b^5*c^5 - 
    17386752*a^3*b^5*c^2*d*e + 2933248*a^3*b^5*c*d^3 - 71342592*a^3*b^5*e^3 + 3957248*a^3*b^4*c^4*e - 2069376*a^3*b^4*c^3*d^2
    - 76369920*a^3*b^4*c*d*e^2 - 47042560*a^3*b^4*d^3*e + 820224*a^3*b^3*c^5*d - 103074816*a^3*b^3*c^3*e^2 + 
    68520960*a^3*b^3*c^2*d^2*e - 17399808*a^3*b^3*c*d^4 - 1250252800*a^3*b^3*d*e^3 - 118784*a^3*b^2*c^7 + 
    8576000*a^3*b^2*c^4*d*e - 3208192*a^3*b^2*c^3*d^3 - 245196800*a^3*b^2*c^2*e^3 + 82114560*a^3*b^2*c*d^2*e^2 - 
    113276928*a^3*b^2*d^4*e + 754688*a^3*b*c^6*e + 1274880*a^3*b*c^5*d^2 - 312862720*a^3*b*c^3*d*e^2 + 
    79403008*a^3*b*c^2*d^3*e - 22380544*a^3*b*c*d^5 - 2216320000*a^3*b*c*e^4 - 37120000*a^3*b*d^2*e^3 - 82944*a^3*c^7*d - 
    63593472*a^3*c^5*e^2 + 85801984*a^3*c^4*d^2*e - 14149632*a^3*c^3*d^4 - 818688000*a^3*c^2*d*e^3 - 242585600*a^3*c*d^3*e^2 
    + 17760256*a^3*d^5*e + 364800000*a^3*e^5 - 6912*a^2*b^9*d^2 + 4608*a^2*b^8*c^2*d - 2668032*a^2*b^8*e^2 - 768*a^2*b^7*c^4 
    + 2774016*a^2*b^7*c*d*e - 357120*a^2*b^7*d^3 - 712704*a^2*b^6*c^3*e + 1102848*a^2*b^6*c^2*d^2 + 39558528*a^2*b^6*d*e^2 - 
    639744*a^2*b^5*c^4*d + 128697984*a^2*b^5*c^2*e^2 - 17293824*a^2*b^5*c*d^2*e + 10902528*a^2*b^5*d^4 + 100352*a^2*b^4*c^6 -
    58080000*a^2*b^4*c^3*d*e + 13100800*a^2*b^4*c^2*d^3 + 21388800*a^2*b^4*c*e^3 + 330359040*a^2*b^4*d^2*e^2 + 
    10285056*a^2*b^3*c^5*e - 2762752*a^2*b^3*c^4*d^2 + 559841280*a^2*b^3*c^2*d*e^2 - 239519744*a^2*b^3*c*d^3*e + 
    60207104*a^2*b^3*d^5 - 1034880000*a^2*b^3*e^4 - 768000*a^2*b^2*c^6*d + 219893760*a^2*b^2*c^4*e^2 - 
    173887488*a^2*b^2*c^3*d^2*e + 45367296*a^2*b^2*c^2*d^4 + 1807872000*a^2*b^2*c*d*e^3 + 123955200*a^2*b^2*d^3*e^2 + 
    165888*a^2*b*c^8 - 40888320*a^2*b*c^5*d*e + 1723392*a^2*b*c^4*d^3 + 317440000*a^2*b*c^3*e^3 + 180480000*a^2*b*c^2*d^2*e^2
    + 164577280*a^2*b*c*d^4*e + 11485184*a^2*b*d^6 + 931200000*a^2*b*d*e^4 + 7686144*a^2*c^7*e - 1520640*a^2*c^6*d^2 + 
    498355200*a^2*c^4*d*e^2 - 474951680*a^2*c^3*d^3*e + 79532032*a^2*c^2*d^5 + 1536000000*a^2*c^2*e^4 + 
    1638400000*a^2*c*d^2*e^3 + 46592000*a^2*d^4*e^2 - 96768*a*b^9*d*e + 32256*a*b^8*c^2*e - 285696*a*b^8*c*d^2 + 
    185856*a*b^7*c^3*d - 47498112*a*b^7*c*e^2 - 714240*a*b^7*d^2*e - 30208*a*b^6*c^5 + 27844992*a*b^6*c^2*d*e - 
    9118720*a*b^6*c*d^3 + 51315840*a*b^6*e^3 - 5580672*a*b^5*c^4*e + 2580480*a*b^5*c^3*d^2 - 212958720*a*b^5*c*d*e^2 + 
    42842112*a*b^5*d^3*e + 165760*a*b^4*c^5*d - 175704960*a*b^4*c^3*e^2 + 65295360*a*b^4*c^2*d^2*e - 27979776*a*b^4*c*d^4 + 
    1186176000*a*b^4*d*e^3 - 73728*a*b^3*c^7 + 84724736*a*b^3*c^4*d*e - 19056640*a*b^3*c^3*d^3 - 178304000*a*b^3*c^2*e^3 - 
    898867200*a*b^3*c*d^2*e^2 + 79257600*a*b^3*d^4*e - 18256896*a*b^2*c^6*e + 8232960*a*b^2*c^5*d^2 - 
    687283200*a*b^2*c^3*d*e^2 + 371640320*a*b^2*c^2*d^3*e - 100253696*a*b^2*c*d^5 + 2563200000*a*b^2*c*e^4 - 
    1317120000*a*b^2*d^2*e^3 - 691200*a*b*c^7*d - 47093760*a*b*c^5*e^2 + 212259840*a*b*c^4*d^2*e - 32595968*a*b*c^3*d^4 - 
    390400000*a*b*c^2*d*e^3 - 710656000*a*b*c*d^3*e^2 - 115179520*a*b*d^5*e - 1296000000*a*b*e^5 - 30827520*a*c^6*d*e + 
    7077888*a*c^5*d^3 - 512640000*a*c^4*e^3 - 389376000*a*c^3*d^2*e^2 + 621363200*a*c^2*d^4*e - 115671040*a*c*d^6 - 
    2912000000*a*c*d*e^4 - 665600000*a*d^3*e^3 + 27648*b^10*d^2 - 18432*b^9*c^2*d + 5142528*b^9*e^2 + 3072*b^8*c^4 - 
    3308544*b^8*c*d*e + 1093632*b^8*d^3 + 721920*b^7*c^3*e - 301824*b^7*c^2*d^2 + 3458304*b^7*d*e^2 - 37376*b^6*c^4*d + 
    37217664*b^6*c^2*e^2 - 1631232*b^6*c*d^2*e - 3276800*b^6*d^4 + 12544*b^5*c^6 - 22500864*b^5*c^3*d*e + 
    12098560*b^5*c^2*d^3 - 91660800*b^5*c*e^3 - 240215040*b^5*d^2*e^2 + 4804352*b^4*c^5*e - 5228416*b^4*c^4*d^2 + 
    382137600*b^4*c^2*d*e^2 + 93655040*b^4*c*d^3*e - 27262976*b^4*d^5 + 142800000*b^4*e^4 + 847872*b^3*c^6*d + 
    5606400*b^3*c^4*e^2 - 185374720*b^3*c^3*d^2*e + 52506624*b^3*c^2*d^4 - 2056960000*b^3*c*d*e^3 + 548352000*b^3*d^3*e^2 - 
    55296*b^2*c^8 + 22708224*b^2*c^5*d*e - 11825152*b^2*c^4*d^3 + 546560000*b^2*c^3*e^3 + 1240320000*b^2*c^2*d^2*e^2 - 
    491110400*b^2*c*d^4*e + 72613888*b^2*d^6 + 1190400000*b^2*d*e^4 + 1880064*b*c^7*e + 414720*b*c^6*d^2 - 
    294912000*b*c^4*d*e^2 - 56115200*b*c^3*d^3*e + 22560768*b*c^2*d^5 - 2345600000*b*c^2*e^4 + 409600000*b*c*d^2*e^3 + 
    501760000*b*d^4*e^2 + 45619200*c^6*e^2 + 6082560*c^5*d^2*e - 4147200*c^4*d^4 + 1152000000*c^3*d*e^3 - 
    360960000*c^2*d^3*e^2 - 178585600*c*d^5*e + 1920000000*c*e^5 + 47185920*d^7 + 736000000*d^2*e^4
;
M[3][4,1] :=
                                -M[3][1,4];
M[4][1,4] :=
8912896*a^9*c*e^3 + 1769472*a^9*d^2*e^2 - 3342336*a^8*b^2*e^3 - 8454144*a^8*b*c*d*e^2 - 884736*a^8*b*d^3*e - 
    6160384*a^8*c^3*e^2 + 7372800*a^8*c^2*d^2*e - 1105920*a^8*c*d^4 - 28966912*a^8*d*e^3 + 2949120*a^7*b^3*d*e^2 + 
    9043968*a^7*b^2*c^2*e^2 - 2752512*a^7*b^2*c*d^2*e + 525312*a^7*b^2*d^4 - 4292608*a^7*b*c^3*d*e + 368640*a^7*b*c^2*d^3 - 
    76873728*a^7*b*c*e^3 + 3588096*a^7*b*d^2*e^2 + 884736*a^7*c^5*e - 53248*a^7*c^4*d^2 + 20250624*a^7*c^2*d*e^2 - 
    20938752*a^7*c*d^3*e + 2598912*a^7*d^5 + 6225920*a^7*e^4 - 3760128*a^6*b^4*c*e^2 + 147456*a^6*b^4*d^2*e + 
    2629632*a^6*b^3*c^2*d*e - 305152*a^6*b^3*c*d^3 + 29245440*a^6*b^3*e^3 - 585728*a^6*b^2*c^4*e + 339968*a^6*b^2*c^3*d^2 + 
    49889280*a^6*b^2*c*d*e^2 + 10936320*a^6*b^2*d^3*e - 167936*a^6*b*c^5*d + 45318144*a^6*b*c^3*e^2 - 
    45072384*a^6*b*c^2*d^2*e + 8690688*a^6*b*c*d^4 + 258408448*a^6*b*d*e^3 + 24576*a^6*c^7 - 1744896*a^6*c^4*d*e - 
    229376*a^6*c^3*d^3 + 68911104*a^6*c^2*e^3 + 20152320*a^6*c*d^2*e^2 + 7206912*a^6*d^4*e + 470016*a^5*b^6*e^2 - 
    442368*a^5*b^5*c*d*e + 38400*a^5*b^5*d^3 + 110592*a^5*b^4*c^3*e - 241152*a^5*b^4*c^2*d^2 - 20551680*a^5*b^4*d*e^2 + 
    145408*a^5*b^3*c^4*d - 65667072*a^5*b^3*c^2*e^2 + 15863808*a^5*b^3*c*d^2*e - 4441088*a^5*b^3*d^4 - 22528*a^5*b^2*c^6 + 
    30457856*a^5*b^2*c^3*d*e - 4227072*a^5*b^2*c^2*d^3 + 181731328*a^5*b^2*c*e^3 - 119617536*a^5*b^2*d^2*e^2 - 
    5984256*a^5*b*c^5*e + 1192960*a^5*b*c^4*d^2 - 227401728*a^5*b*c^2*d*e^2 + 138670080*a^5*b*c*d^3*e - 22109184*a^5*b*d^5 - 
    62668800*a^5*b*e^4 - 81920*a^5*c^6*d - 49975296*a^5*c^4*e^2 + 60841984*a^5*c^3*d^2*e - 8835072*a^5*c^2*d^4 - 
    358154240*a^5*c*d*e^3 - 23736320*a^5*d^3*e^2 + 13824*a^4*b^7*d*e - 4608*a^4*b^6*c^2*e + 69120*a^4*b^6*c*d^2 - 
    44544*a^4*b^5*c^3*d + 26643456*a^4*b^5*c*e^2 - 516096*a^4*b^5*d^2*e + 7168*a^4*b^4*c^5 - 17163264*a^4*b^4*c^2*d*e + 
    3310080*a^4*b^4*c*d^3 - 81684480*a^4*b^4*e^3 + 3673088*a^4*b^3*c^4*e - 2354176*a^4*b^3*c^3*d^2 - 264192*a^4*b^3*c*d*e^2 -
    38365184*a^4*b^3*d^3*e + 881664*a^4*b^2*c^5*d - 16584704*a^4*b^2*c^3*e^2 + 30799872*a^4*b^2*c^2*d^2*e - 
    11357184*a^4*b^2*c*d^4 - 689766400*a^4*b^2*d*e^3 - 118784*a^4*b*c^7 - 24102912*a^4*b*c^4*d*e + 3926016*a^4*b*c^3*d^3 - 
    277299200*a^4*b*c^2*e^3 + 159713280*a^4*b*c*d^2*e^2 - 33926144*a^4*b*d^4*e + 6983680*a^4*c^6*e - 558080*a^4*c^5*d^2 + 
    221839360*a^4*c^3*d*e^2 - 234319872*a^4*c^2*d^3*e + 31897600*a^4*c*d^5 + 158720000*a^4*c*e^4 + 298496000*a^4*d^2*e^3 - 
    6912*a^3*b^8*d^2 + 4608*a^3*b^7*c^2*d - 3207168*a^3*b^7*e^2 - 768*a^3*b^6*c^4 + 2543616*a^3*b^6*c*d*e - 
    425856*a^3*b^6*d^3 - 603648*a^3*b^5*c^3*e + 1177728*a^3*b^5*c^2*d^2 + 33956352*a^3*b^5*d*e^2 - 658432*a^3*b^4*c^4*d + 
    96195072*a^3*b^4*c^2*e^2 - 17971200*a^3*b^4*c*d^2*e + 10368512*a^3*b^4*d^4 + 100352*a^3*b^3*c^6 - 
    36870144*a^3*b^3*c^3*d*e + 9517056*a^3*b^3*c^2*d^3 - 63283200*a^3*b^3*c*e^3 + 351129600*a^3*b^3*d^2*e^2 + 
    6029312*a^3*b^2*c^5*e - 2056192*a^3*b^2*c^4*d^2 + 378101760*a^3*b^2*c^2*d*e^2 - 198320128*a^3*b^2*c*d^3*e + 
    51214336*a^3*b^2*d^5 + 167040000*a^3*b^2*e^4 - 745472*a^3*b*c^6*d + 158643200*a^3*b*c^4*e^2 - 87658496*a^3*b*c^3*d^2*e + 
    26648576*a^3*b*c^2*d^4 + 1510912000*a^3*b*c*d*e^3 - 92313600*a^3*b*d^3*e^2 + 165888*a^3*c^8 - 20699136*a^3*c^5*d*e - 
    969728*a^3*c^4*d^3 - 21504000*a^3*c^3*e^3 - 47001600*a^3*c^2*d^2*e^2 + 235806720*a^3*c*d^4*e - 24272896*a^3*d^6 - 
    428800000*a^3*d*e^4 - 44928*a^2*b^8*d*e + 14976*a^2*b^7*c^2*e - 291456*a^2*b^7*c*d^2 + 187776*a^2*b^6*c^3*d - 
    44808192*a^2*b^6*c*e^2 - 243072*a^2*b^6*d^2*e - 30208*a^2*b^5*c^5 + 24326400*a^2*b^5*c^2*d*e - 8773120*a^2*b^5*c*d^3 + 
    75202560*a^2*b^5*e^3 - 4712960*a^2*b^4*c^4*e + 2646912*a^2*b^4*c^3*d^2 - 220024320*a^2*b^4*c*d*e^2 + 
    31120896*a^2*b^4*d^3*e + 121856*a^2*b^3*c^5*d - 199664640*a^2*b^3*c^3*e^2 + 63372288*a^2*b^3*c^2*d^2*e - 
    24639488*a^2*b^3*c*d^4 + 503040000*a^2*b^3*d*e^3 - 73728*a^2*b^2*c^7 + 92083200*a^2*b^2*c^4*d*e - 
    22356992*a^2*b^2*c^3*d^3 + 218368000*a^2*b^2*c^2*e^3 - 768153600*a^2*b^2*c*d^2*e^2 - 2140160*a^2*b^2*d^4*e - 
    18367488*a^2*b*c^6*e + 9022464*a^2*b*c^5*d^2 - 845568000*a^2*b*c^3*d*e^2 + 522393600*a^2*b*c^2*d^3*e - 
    119382016*a^2*b*c*d^5 - 553600000*a^2*b*c*e^4 - 817920000*a^2*b*d^2*e^3 - 801792*a^2*c^7*d - 48522240*a^2*c^5*e^2 + 
    94356480*a^2*c^4*d^2*e - 7419904*a^2*c^3*d^4 - 381440000*a^2*c^2*d*e^3 - 397824000*a^2*c*d^3*e^2 - 33710080*a^2*d^5*e + 
    96000000*a^2*e^5 + 27648*a*b^9*d^2 - 18432*a*b^8*c^2*d + 5318784*a*b^8*e^2 + 3072*a*b^7*c^4 - 2972160*a*b^7*c*d*e + 
    1118208*a*b^7*d^3 + 602880*a*b^6*c^3*e - 355200*a*b^6*c^2*d^2 + 2496384*a*b^6*d*e^2 - 22272*a*b^5*c^4*d + 
    57647232*a*b^5*c^2*e^2 + 3606528*a*b^5*c*d^2*e - 3571712*a*b^5*d^4 + 12544*a*b^4*c^6 - 34782976*a*b^4*c^3*d*e + 
    14308864*a*b^4*c^2*d^3 - 105600000*a*b^4*c*e^3 - 212928000*a*b^4*d^2*e^2 + 6848512*a*b^3*c^5*e - 5800960*a*b^3*c^4*d^2 + 
    465561600*a*b^3*c^2*d*e^2 + 56483840*a*b^3*c*d^3*e - 18546688*a*b^3*d^5 - 124800000*a*b^3*e^4 + 884736*a*b^2*c^6*d + 
    61747200*a*b^2*c^4*e^2 - 186992640*a*b^2*c^3*d^2*e + 53164032*a*b^2*c^2*d^4 - 1320960000*a*b^2*c*d*e^3 + 
    578816000*a*b^2*d^3*e^2 - 55296*a*b*c^8 - 9086976*a*b*c^5*d*e - 6568960*a*b*c^4*d^3 + 204800000*a*b*c^3*e^3 + 
    929280000*a*b*c^2*d^2*e^2 - 376012800*a*b*c*d^4*e + 77856768*a*b*d^6 + 1206400000*a*b*d*e^4 + 7575552*a*c^7*e - 
    635904*a*c^6*d^2 + 236160000*a*c^4*d*e^2 - 260608000*a*c^3*d^3*e + 39624704*a*c^2*d^5 + 51200000*a*c^2*e^4 + 
    793600000*a*c*d^2*e^3 + 158720000*a*d^4*e^2 - 41472*b^9*d*e + 13824*b^8*c^2*e + 4608*b^8*c*d^2 - 1536*b^7*c^3*d - 
    2422656*b^7*c*e^2 - 516096*b^7*d^2*e + 1542528*b^6*c^2*d*e - 282624*b^6*c*d^3 - 6134400*b^6*e^3 - 279936*b^5*c^4*e + 
    83968*b^5*c^3*d^2 - 2603520*b^5*c*d*e^2 + 4915200*b^5*d^3*e - 6272*b^4*c^5*d - 15657600*b^4*c^3*e^2 - 
    5230080*b^4*c^2*d^2*e - 1277952*b^4*c*d^4 + 110400000*b^4*d*e^3 + 11320320*b^3*c^4*d*e - 835584*b^3*c^3*d^3 - 
    28800000*b^3*c^2*e^3 + 22272000*b^3*c*d^2*e^2 + 6553600*b^3*d^4*e - 2128896*b^2*c^6*e + 129024*b^2*c^5*d^2 - 
    124800000*b^2*c^3*d*e^2 - 31692800*b^2*c^2*d^3*e + 4784128*b^2*c*d^5 + 374400000*b^2*c*e^4 - 198400000*b^2*d^2*e^3 + 
    27648*b*c^7*d - 1382400*b*c^5*e^2 + 75340800*b*c^4*d^2*e - 14417920*b*c^3*d^4 + 224000000*b*c^2*d*e^3 - 
    158720000*b*c*d^3*e^2 - 36044800*b*d^5*e - 240000000*b*e^5 - 12856320*c^6*d*e + 2764800*c^5*d^3 - 86400000*c^4*e^3 - 
    218880000*c^3*d^2*e^2 + 199680000*c^2*d^4*e - 32112640*c*d^6 - 672000000*c*d*e^4 - 128000000*d^3*e^3
;
M[4][4,1] :=
                                -M[4][1,4];
M[5][1,4] :=
8912896*a^8*c*e^3 + 1769472*a^8*d^2*e^2 - 3342336*a^7*b^2*e^3 - 8454144*a^7*b*c*d*e^2 - 884736*a^7*b*d^3*e - 
    6160384*a^7*c^3*e^2 + 7372800*a^7*c^2*d^2*e - 1105920*a^7*c*d^4 - 25034752*a^7*d*e^3 + 2949120*a^6*b^3*d*e^2 + 
    9043968*a^6*b^2*c^2*e^2 - 2752512*a^6*b^2*c*d^2*e + 525312*a^6*b^2*d^4 - 4292608*a^6*b*c^3*d*e + 368640*a^6*b*c^2*d^3 - 
    76611584*a^6*b*c*e^3 + 1081344*a^6*b*d^2*e^2 + 884736*a^6*c^5*e - 53248*a^6*c^4*d^2 + 21626880*a^6*c^2*d*e^2 - 
    20054016*a^6*c*d^3*e + 2433024*a^6*d^5 - 8192000*a^6*e^4 - 3760128*a^5*b^4*c*e^2 + 147456*a^5*b^4*d^2*e + 
    2629632*a^5*b^3*c^2*d*e - 305152*a^5*b^3*c*d^3 + 28901376*a^5*b^3*e^3 - 585728*a^5*b^2*c^4*e + 339968*a^5*b^2*c^3*d^2 + 
    48955392*a^5*b^2*c*d*e^2 + 11120640*a^5*b^2*d^3*e - 167936*a^5*b*c^5*d + 43089920*a^5*b*c^3*e^2 - 
    45244416*a^5*b*c^2*d^2*e + 8607744*a^5*b*c*d^4 + 227246080*a^5*b*d*e^3 + 24576*a^5*c^7 - 1335296*a^5*c^4*d*e - 
    253952*a^5*c^3*d^3 + 60456960*a^5*c^2*e^3 + 6635520*a^5*c*d^2*e^2 + 8257536*a^5*d^4*e + 470016*a^4*b^6*e^2 - 
    442368*a^4*b^5*c*d*e + 38400*a^4*b^5*d^3 + 110592*a^4*b^4*c^3*e - 241152*a^4*b^4*c^2*d^2 - 20127744*a^4*b^4*d*e^2 + 
    145408*a^4*b^3*c^4*d - 63086592*a^4*b^3*c^2*e^2 + 15783936*a^4*b^3*c*d^2*e - 4391936*a^4*b^3*d^4 - 22528*a^4*b^2*c^6 + 
    29949952*a^4*b^2*c^3*d*e - 4048896*a^4*b^2*c^2*d^3 + 185139200*a^4*b^2*c*e^3 - 91760640*a^4*b^2*d^2*e^2 - 
    5967872*a^4*b*c^5*e + 1114112*a^4*b*c^4*d^2 - 214179840*a^4*b*c^2*d*e^2 + 130572288*a^4*b*c*d^3*e - 20312064*a^4*b*d^5 + 
    61440000*a^4*b*e^4 - 69632*a^4*c^6*d - 42782720*a^4*c^4*e^2 + 52043776*a^4*c^3*d^2*e - 7406592*a^4*c^2*d^4 - 
    270336000*a^4*c*d*e^3 - 16793600*a^4*d^3*e^2 + 13824*a^3*b^7*d*e - 4608*a^3*b^6*c^2*e + 69120*a^3*b^6*c*d^2 - 
    44544*a^3*b^5*c^3*d + 25638912*a^3*b^5*c*e^2 - 539136*a^3*b^5*d^2*e + 7168*a^3*b^4*c^5 - 17015808*a^3*b^4*c^2*d*e + 
    3204608*a^3*b^4*c*d^3 - 79872000*a^3*b^4*e^3 + 3688448*a^3*b^3*c^4*e - 2293760*a^3*b^3*c^3*d^2 - 10598400*a^3*b^3*c*d*e^2
    - 40517632*a^3*b^3*d^3*e + 870400*a^3*b^2*c^5*d - 16936960*a^3*b^2*c^3*e^2 + 38455296*a^3*b^2*c^2*d^2*e - 
    12275712*a^3*b^2*c*d^4 - 639488000*a^3*b^2*d*e^3 - 118784*a^3*b*c^7 - 22306816*a^3*b*c^4*d*e + 3389440*a^3*b*c^3*d^3 - 
    242688000*a^3*b*c^2*e^3 + 186470400*a^3*b*c*d^2*e^2 - 43212800*a^3*b*d^4*e + 6201344*a^3*c^6*e - 397312*a^3*c^5*d^2 + 
    200499200*a^3*c^3*d*e^2 - 201093120*a^3*c^2*d^3*e + 26238976*a^3*c*d^5 + 25600000*a^3*c*e^4 + 245760000*a^3*d^2*e^3 - 
    6912*a^2*b^8*d^2 + 4608*a^2*b^7*c^2*d - 3082752*a^2*b^7*e^2 - 768*a^2*b^6*c^4 + 2575872*a^2*b^6*c*d*e - 
    410112*a^2*b^6*d^3 - 622080*a^2*b^5*c^3*e + 1162752*a^2*b^5*c^2*d^2 + 33698304*a^2*b^5*d*e^2 - 654848*a^2*b^4*c^4*d + 
    89710080*a^2*b^4*c^2*e^2 - 17631744*a^2*b^4*c*d^2*e + 10323968*a^2*b^4*d^4 + 100352*a^2*b^3*c^6 - 
    37605376*a^2*b^3*c^3*d*e + 9185280*a^2*b^3*c^2*d^3 - 80640000*a^2*b^3*c*e^3 + 266188800*a^2*b^3*d^2*e^2 + 
    6543360*a^2*b^2*c^5*e - 1794048*a^2*b^2*c^4*d^2 + 307660800*a^2*b^2*c^2*d*e^2 - 179015680*a^2*b^2*c*d^3*e + 
    46342144*a^2*b^2*d^5 - 163200000*a^2*b^2*e^4 - 804864*a^2*b*c^6*d + 113664000*a^2*b*c^4*e^2 - 58828800*a^2*b*c^3*d^2*e + 
    21708800*a^2*b*c^2*d^4 + 1080320000*a^2*b*c*d*e^3 - 100352000*a^2*b*d^3*e^2 + 165888*a^2*c^8 - 16613376*a^2*c^5*d*e - 
    1456128*a^2*c^4*d^3 - 66560000*a^2*c^3*e^3 - 129792000*a^2*c^2*d^2*e^2 + 225075200*a^2*c*d^4*e - 21594112*a^2*d^6 - 
    281600000*a^2*d*e^4 - 55296*a*b^8*d*e + 18432*a*b^7*c^2*e - 290304*a*b^7*c*d^2 + 187392*a*b^6*c^3*d - 
    41260032*a*b^6*c*e^2 - 267264*a*b^6*d^2*e - 30208*a*b^5*c^5 + 24239616*a*b^5*c^2*d*e - 8407040*a*b^5*c*d^3 + 
    72000000*a*b^5*e^3 - 4891648*a*b^4*c^4*e + 2401792*a*b^4*c^3*d^2 - 156864000*a*b^4*c*d*e^2 + 38277120*a*b^4*d^3*e + 
    172032*a*b^3*c^5*d - 143769600*a*b^3*c^3*e^2 + 34283520*a*b^3*c^2*d^2*e - 19210240*a*b^3*c*d^4 + 583680000*a*b^3*d*e^3 - 
    73728*a*b^2*c^7 + 73973760*a*b^2*c^4*d*e - 18526208*a*b^2*c^3*d^3 + 259840000*a*b^2*c^2*e^3 - 582144000*a*b^2*c*d^2*e^2 +
    21708800*a*b^2*d^4*e - 14948352*a*b*c^6*e + 7827456*a*b*c^5*d^2 - 572160000*a*b*c^3*d*e^2 + 368844800*a*b*c^2*d^3*e - 
    89882624*a*b*c*d^5 + 44800000*a*b*c*e^4 - 640000000*a*b*d^2*e^3 - 718848*a*c^7*d - 4608000*a*c^5*e^2 + 
    38400000*a*c^4*d^2*e + 942080*a*c^3*d^4 + 115200000*a*c^2*d*e^3 - 240640000*a*c*d^3*e^2 - 40960000*a*d^5*e + 
    27648*b^9*d^2 - 18432*b^8*c^2*d + 4831488*b^8*e^2 + 3072*b^7*c^4 - 3128832*b^7*c*d*e + 1056768*b^7*d^3 + 685056*b^6*c^3*e
    - 293376*b^6*c^2*d^2 - 3432960*b^6*d*e^2 - 37376*b^5*c^4*d + 35527680*b^5*c^2*e^2 + 2734080*b^5*c*d^2*e - 4194304*b^5*d^4
    + 12544*b^4*c^6 - 22576640*b^4*c^3*d*e + 12142592*b^4*c^2*d^3 - 120000000*b^4*c*e^3 - 166656000*b^4*d^2*e^2 + 
    4640768*b^3*c^5*e - 5190656*b^3*c^4*d^2 + 301824000*b^3*c^2*d*e^2 + 47308800*b^3*c*d^3*e - 17956864*b^3*d^5 + 
    124800000*b^3*e^4 + 847872*b^2*c^6*d + 9600000*b^2*c^4*e^2 - 117657600*b^2*c^3*d^2*e + 38051840*b^2*c^2*d^4 - 
    1139200000*b^2*c*d*e^3 + 455680000*b^2*d^3*e^2 - 55296*b*c^8 + 5437440*b*c^5*d*e - 7843840*b*c^4*d^3 + 
    108800000*b*c^3*e^3 + 599040000*b*c^2*d^2*e^2 - 339968000*b*c*d^4*e + 64225280*b*d^6 + 704000000*b*d*e^4 + 3041280*c^7*e 
    + 138240*c^6*d^2 + 11520000*c^4*d*e^2 - 35840000*c^3*d^3*e + 3112960*c^2*d^5 - 272000000*c^2*e^4 + 128000000*c*d^2*e^3 + 
    102400000*d^4*e^2
;
M[5][4,1] :=
                                -M[5][1,4];
M[1][1,5] :=
16777216*a^11*c*e^4 - 1048576*a^11*d^2*e^3 - 6291456*a^10*b^2*e^4 - 15728640*a^10*b*c*d*e^3 + 786432*a^10*b*d^3*e^2 - 
    4194304*a^10*c^3*e^3 + 9961472*a^10*c^2*d^2*e^2 - 2359296*a^10*c*d^4*e + 110592*a^10*d^6 - 111149056*a^10*d*e^4 + 
    6029312*a^9*b^3*d*e^3 + 8650752*a^9*b^2*c^2*e^3 - 2162688*a^9*b^2*c*d^2*e^2 + 688128*a^9*b^2*d^4*e - 
    6815744*a^9*b*c^3*d*e^2 - 262144*a^9*b*c^2*d^3*e + 258048*a^9*b*c*d^5 - 250609664*a^9*b*c*e^4 + 128450560*a^9*b*d^2*e^3 -
    1048576*a^9*c^5*e^2 + 2031616*a^9*c^4*d^2*e - 425984*a^9*c^3*d^4 + 19922944*a^9*c^2*d*e^3 - 89128960*a^9*c*d^3*e^2 + 
    13197312*a^9*d^5*e - 185597952*a^9*e^5 - 3997696*a^8*b^4*c*e^3 - 724992*a^8*b^4*d^2*e^2 + 3670016*a^8*b^3*c^2*d*e^2 + 
    32768*a^8*b^3*c*d^3*e - 121856*a^8*b^3*d^5 + 96731136*a^8*b^3*e^4 + 3670016*a^8*b^2*c^4*e^2 - 1146880*a^8*b^2*c^3*d^2*e +
    189440*a^8*b^2*c^2*d^4 + 184418304*a^8*b^2*c*d*e^3 - 20889600*a^8*b^2*d^3*e^2 - 1507328*a^8*b*c^5*d*e + 
    344064*a^8*b*c^4*d^3 + 50855936*a^8*b*c^3*e^3 - 50987008*a^8*b*c^2*d^2*e^2 + 49393664*a^8*b*c*d^4*e - 4902912*a^8*b*d^6 +
    1761345536*a^8*b*d*e^4 + 262144*a^8*c^7*e - 65536*a^8*c^6*d^2 + 48627712*a^8*c^4*d*e^2 - 53608448*a^8*c^3*d^3*e + 
    8982528*a^8*c^2*d^5 + 150470656*a^8*c^2*e^4 - 14680064*a^8*c*d^2*e^3 + 78909440*a^8*d^4*e^2 + 499712*a^7*b^6*e^3 - 
    356352*a^7*b^5*c*d*e^2 + 67584*a^7*b^5*d^3*e - 3211264*a^7*b^4*c^3*e^2 + 174080*a^7*b^4*c^2*d^2*e + 3072*a^7*b^4*c*d^4 - 
    82124800*a^7*b^4*d*e^3 + 1654784*a^7*b^3*c^4*d*e - 374784*a^7*b^3*c^3*d^3 - 112001024*a^7*b^3*c^2*e^3 - 
    2326528*a^7*b^3*c*d^2*e^2 - 12065792*a^7*b^3*d^4*e - 311296*a^7*b^2*c^6*e + 77824*a^7*b^2*c^5*d^2 - 
    8388608*a^7*b^2*c^3*d*e^2 + 28823552*a^7*b^2*c^2*d^3*e - 7856128*a^7*b^2*c*d^5 + 1254031360*a^7*b^2*c*e^4 - 
    1691959296*a^7*b^2*d^2*e^3 - 983040*a^7*b*c^5*e^2 + 15728640*a^7*b*c^4*d^2*e - 1265664*a^7*b*c^3*d^4 - 
    314048512*a^7*b*c^2*d*e^3 + 950558720*a^7*b*c*d^3*e^2 - 200347648*a^7*b*d^5*e + 2013265920*a^7*b*e^5 - 
    5111808*a^7*c^6*d*e + 786432*a^7*c^5*d^3 - 73465856*a^7*c^4*e^3 - 179240960*a^7*c^3*d^2*e^2 + 162164736*a^7*c^2*d^4*e - 
    22659072*a^7*c*d^6 - 1544552448*a^7*c*d*e^4 + 6766592*a^7*d^3*e^3 - 15360*a^6*b^7*d*e^2 + 1233920*a^6*b^6*c^2*e^2 - 
    30720*a^6*b^6*c*d^2*e - 3200*a^6*b^6*d^4 - 706560*a^6*b^5*c^3*d*e + 158720*a^6*b^5*c^2*d^3 + 52908032*a^6*b^5*c*e^3 + 
    15181824*a^6*b^5*d^2*e^2 + 143360*a^6*b^4*c^5*e - 35840*a^6*b^4*c^4*d^2 + 12812288*a^6*b^4*c^2*d*e^2 - 
    4997120*a^6*b^4*c*d^3*e + 2659328*a^6*b^4*d^5 - 536383488*a^6*b^4*e^4 - 19513344*a^6*b^3*c^4*e^2 - 
    22644736*a^6*b^3*c^3*d^2*e + 3948544*a^6*b^3*c^2*d^4 - 568950784*a^6*b^3*c*d*e^3 + 274589696*a^6*b^3*d^3*e^2 + 
    17489920*a^6*b^2*c^5*d*e - 4723712*a^6*b^2*c^4*d^3 - 115769344*a^6*b^2*c^3*e^3 + 5347328*a^6*b^2*c^2*d^2*e^2 - 
    408279040*a^6*b^2*c*d^4*e + 61018112*a^6*b^2*d^6 - 10159931392*a^6*b^2*d*e^4 - 2162688*a^6*b*c^7*e + 
    1032192*a^6*b*c^6*d^2 - 353812480*a^6*b*c^4*d*e^2 + 401408000*a^6*b*c^3*d^3*e - 77783040*a^6*b*c^2*d^5 - 
    1882849280*a^6*b*c^2*e^4 + 1541955584*a^6*b*c*d^2*e^3 - 807084032*a^6*b*d^4*e^2 - 65536*a^6*c^8*d + 24969216*a^6*c^6*e^2 
    - 14647296*a^6*c^5*d^2*e + 4440064*a^6*c^4*d^4 + 810156032*a^6*c^3*d*e^3 - 927096832*a^6*c^2*d^3*e^2 + 
    92905472*a^6*c*d^5*e - 1644953600*a^6*c*e^5 + 1826816*a^6*d^7 + 673894400*a^6*d^2*e^4 - 230400*a^5*b^8*c*e^2 + 
    3840*a^5*b^8*d^2*e + 143360*a^5*b^7*c^2*d*e - 32000*a^5*b^7*c*d^3 - 6573056*a^5*b^7*e^3 - 30720*a^5*b^6*c^4*e + 
    7680*a^5*b^6*c^3*d^2 - 11739136*a^5*b^6*c*d*e^2 - 804864*a^5*b^6*d^3*e + 20514816*a^5*b^5*c^3*e^2 + 
    10093568*a^5*b^5*c^2*d^2*e - 2235904*a^5*b^5*c*d^4 + 383739904*a^5*b^5*d*e^3 - 14691328*a^5*b^4*c^4*d*e + 
    4297728*a^5*b^4*c^3*d^3 + 459225088*a^5*b^4*c^2*e^3 + 21579776*a^5*b^4*c*d^2*e^2 + 72405504*a^5*b^4*d^4*e + 
    2453504*a^5*b^3*c^6*e - 1163264*a^5*b^3*c^5*d^2 + 354899968*a^5*b^3*c^3*d*e^2 - 148908032*a^5*b^3*c^2*d^3*e + 
    42397696*a^5*b^3*c*d^5 - 1838383104*a^5*b^3*c*e^4 + 8487471104*a^5*b^3*d^2*e^3 + 77824*a^5*b^2*c^7*d + 
    7254016*a^5*b^2*c^5*e^2 - 221072384*a^5*b^2*c^4*d^2*e + 38608896*a^5*b^2*c^3*d^4 + 1095438336*a^5*b^2*c^2*d*e^3 - 
    3603800064*a^5*b^2*c*d^3*e^2 + 1102841856*a^5*b^2*d^5*e - 7759872000*a^5*b^2*e^5 + 54525952*a^5*b*c^6*d*e - 
    12779520*a^5*b*c^5*d^3 + 562593792*a^5*b*c^4*e^3 + 1916985344*a^5*b*c^3*d^2*e^2 - 1225764864*a^5*b*c^2*d^4*e + 
    188620800*a^5*b*c*d^6 + 18367754240*a^5*b*c*d*e^4 - 731815936*a^5*b*d^3*e^3 - 1966080*a^5*c^8*e + 786432*a^5*c^7*d^2 + 
    155713536*a^5*c^5*d*e^2 - 247123968*a^5*c^4*d^3*e + 39665664*a^5*c^3*d^5 - 392069120*a^5*c^3*e^4 - 
    921870336*a^5*c^2*d^2*e^3 + 1714323456*a^5*c*d^4*e^2 - 125747200*a^5*d^6*e - 467968000*a^5*d*e^5 + 17280*a^4*b^10*e^2 - 
    11520*a^4*b^9*c*d*e + 2560*a^4*b^9*d^3 + 2560*a^4*b^8*c^3*e - 640*a^4*b^8*c^2*d^2 + 1766400*a^4*b^8*d*e^2 - 
    8151040*a^4*b^7*c^2*e^2 - 1120000*a^4*b^7*c*d^2*e + 275200*a^4*b^7*d^4 + 5447680*a^4*b^6*c^3*d*e - 
    1627520*a^4*b^6*c^2*d^3 - 236404736*a^4*b^6*c*e^3 - 78477568*a^4*b^6*d^2*e^2 - 1090560*a^4*b^5*c^5*e + 
    512000*a^4*b^5*c^4*d^2 - 246952960*a^4*b^5*c^2*d*e^2 + 25228288*a^4*b^5*c*d^3*e - 14986240*a^4*b^5*d^5 + 
    1233782784*a^4*b^5*e^4 - 35840*a^4*b^4*c^6*d + 28184576*a^4*b^4*c^4*e^2 + 222313472*a^4*b^4*c^3*d^2*e - 
    45880320*a^4*b^4*c^2*d^4 - 544153600*a^4*b^4*c*d*e^3 - 1542014976*a^4*b^4*d^3*e^2 - 81575936*a^4*b^3*c^5*d*e + 
    25319424*a^4*b^3*c^4*d^3 - 579573760*a^4*b^3*c^3*e^3 - 83367936*a^4*b^3*c^2*d^2*e^2 + 1478765568*a^4*b^3*c*d^4*e - 
    307245056*a^4*b^3*d^6 + 25167590400*a^4*b^3*d*e^4 + 7139328*a^4*b^2*c^7*e - 4723712*a^4*b^2*c^6*d^2 + 
    378307584*a^4*b^2*c^4*d*e^2 - 643674112*a^4*b^2*c^3*d^3*e + 153243648*a^4*b^2*c^2*d^5 + 6505702400*a^4*b^2*c^2*e^4 - 
    14952550400*a^4*b^2*c*d^2*e^3 + 2706964480*a^4*b^2*d^4*e^2 + 344064*a^4*b*c^8*d - 208224256*a^4*b*c^6*e^2 + 
    269787136*a^4*b*c^5*d^2*e - 47292416*a^4*b*c^4*d^4 - 5552209920*a^4*b*c^3*d*e^3 + 6189916160*a^4*b*c^2*d^3*e^2 - 
    1440739328*a^4*b*c*d^5*e + 9950720000*a^4*b*c*e^5 + 11845632*a^4*b*d^7 - 6511104000*a^4*b*d^2*e^4 - 31768576*a^4*c^7*d*e 
    + 4440064*a^4*c^6*d^3 - 41517056*a^4*c^5*e^3 - 2356961280*a^4*c^4*d^2*e^2 + 1784303616*a^4*c^3*d^4*e - 
    248143872*a^4*c^2*d^6 - 3878400000*a^4*c^2*d*e^4 - 2184396800*a^4*c*d^3*e^3 - 400392192*a^4*d^5*e^2 - 2521600000*a^4*e^6 
    + 1555200*a^3*b^9*c*e^2 - 9600*a^3*b^9*d^2*e - 1052800*a^3*b^8*c^2*d*e + 314880*a^3*b^8*c*d^3 + 29399808*a^3*b^8*e^3 + 
    232960*a^3*b^7*c^4*e - 107520*a^3*b^7*c^3*d^2 + 103656704*a^3*b^7*c*d*e^2 + 4087808*a^3*b^7*d^3*e + 7680*a^3*b^6*c^5*d - 
    35417600*a^3*b^6*c^3*e^2 - 82457728*a^3*b^6*c^2*d^2*e + 19286016*a^3*b^6*c*d^4 - 643408896*a^3*b^6*d*e^3 + 
    45693952*a^3*b^5*c^4*d*e - 16243712*a^3*b^5*c^3*d^3 - 368860160*a^3*b^5*c^2*e^3 + 509143040*a^3*b^5*c*d^2*e^2 - 
    164352000*a^3*b^5*d^4*e - 5990400*a^3*b^4*c^6*e + 4297728*a^3*b^4*c^5*d^2 - 788878336*a^3*b^4*c^3*d*e^2 - 
    54400512*a^3*b^4*c^2*d^3*e - 4022272*a^3*b^4*c*d^5 - 2305152000*a^3*b^4*c*e^4 - 17829596160*a^3*b^4*d^2*e^3 - 
    374784*a^3*b^3*c^7*d + 180125696*a^3*b^3*c^5*e^2 + 419519488*a^3*b^3*c^4*d^2*e - 108363776*a^3*b^3*c^3*d^4 + 
    3175106560*a^3*b^3*c^2*d*e^3 + 6997975040*a^3*b^3*c*d^3*e^2 - 2496266240*a^3*b^3*d^5*e + 12731520000*a^3*b^3*e^5 - 
    142707712*a^3*b^2*c^6*d*e + 38608896*a^3*b^2*c^5*d^3 - 1144325120*a^3*b^2*c^4*e^3 - 4791336960*a^3*b^2*c^3*d^2*e^2 + 
    2055878656*a^3*b^2*c^2*d^4*e - 268468224*a^3*b^2*c*d^6 - 66328576000*a^3*b^2*c*d*e^4 + 7362662400*a^3*b^2*d^3*e^3 + 
    11698176*a^3*b*c^8*e - 1265664*a^3*b*c^7*d^2 + 608235520*a^3*b*c^5*d*e^2 + 46985216*a^3*b*c^4*d^3*e - 
    92323840*a^3*b*c^3*d^5 + 214528000*a^3*b*c^3*e^4 + 11349606400*a^3*b*c^2*d^2*e^3 - 9411870720*a^3*b*c*d^4*e^2 + 
    1171423232*a^3*b*d^6*e + 9203200000*a^3*b*d*e^5 - 425984*a^3*c^9*d + 196411392*a^3*c^7*e^2 - 127143936*a^3*c^6*d^2*e + 
    39665664*a^3*c^5*d^4 + 5261209600*a^3*c^4*d*e^3 + 27033600*a^3*c^3*d^3*e^2 - 1686822912*a^3*c^2*d^5*e - 
    3596800000*a^3*c^2*e^5 + 242745344*a^3*c*d^7 + 1873920000*a^3*c*d^2*e^4 + 1282048000*a^3*d^4*e^3 - 120960*a^2*b^11*e^2 + 
    86400*a^2*b^10*c*d*e - 25600*a^2*b^10*d^3 - 19840*a^2*b^9*c^3*e + 8960*a^2*b^9*c^2*d^2 - 12614400*a^2*b^9*d*e^2 - 
    640*a^2*b^8*c^4*d + 13322240*a^2*b^8*c^2*e^2 + 9061760*a^2*b^8*c*d^2*e - 2170880*a^2*b^8*d^4 - 11914240*a^2*b^7*c^3*d*e +
    4610560*a^2*b^7*c^2*d^3 + 337462016*a^2*b^7*c*e^3 + 90034688*a^2*b^7*d^2*e^2 + 2199040*a^2*b^6*c^5*e - 
    1627520*a^2*b^6*c^4*d^2 + 502686080*a^2*b^6*c^2*d*e^2 - 6022144*a^2*b^6*c*d^3*e + 21921792*a^2*b^6*d^5 - 
    872576640*a^2*b^6*e^4 + 158720*a^2*b^5*c^6*d - 96495616*a^2*b^5*c^4*e^2 - 415455232*a^2*b^5*c^3*d^2*e + 
    104921088*a^2*b^5*c^2*d^4 + 3567369216*a^2*b^5*c*d*e^3 + 3403225088*a^2*b^5*d^3*e^2 + 155611136*a^2*b^4*c^5*d*e - 
    45880320*a^2*b^4*c^4*d^3 + 1979704320*a^2*b^4*c^3*e^3 - 216066560*a^2*b^4*c^2*d^2*e^2 - 2181259264*a^2*b^4*c*d^4*e + 
    621543424*a^2*b^4*d^6 - 22994304000*a^2*b^4*d*e^4 - 13931520*a^2*b^3*c^7*e + 3948544*a^2*b^3*c^6*d^2 + 
    128230400*a^2*b^3*c^4*d*e^2 + 509515776*a^2*b^3*c^3*d^3*e - 82288640*a^2*b^3*c^2*d^5 - 3353856000*a^2*b^3*c^2*e^4 + 
    42704025600*a^2*b^3*c*d^2*e^3 - 4167475200*a^2*b^3*d^4*e^2 + 189440*a^2*b^2*c^8*d - 115268608*a^2*b^2*c^6*e^2 - 
    660474880*a^2*b^2*c^5*d^2*e + 153243648*a^2*b^2*c^4*d^4 + 5315072000*a^2*b^2*c^3*d*e^3 - 13841192960*a^2*b^2*c^2*d^3*e^2 
    + 6213124096*a^2*b^2*c*d^5*e - 16940800000*a^2*b^2*c*e^5 - 268697600*a^2*b^2*d^7 + 13928960000*a^2*b^2*d^2*e^4 + 
    263340032*a^2*b*c^7*d*e - 77783040*a^2*b*c^6*d^3 - 453898240*a^2*b*c^5*e^3 + 7759032320*a^2*b*c^4*d^2*e^2 - 
    6328934400*a^2*b*c^3*d^4*e + 1112899584*a^2*b*c^2*d^6 + 41646080000*a^2*b*c^2*d*e^4 + 8975360000*a^2*b*c*d^3*e^3 + 
    1091665920*a^2*b*d^5*e^2 + 11776000000*a^2*b*e^6 - 25214976*a^2*c^9*e + 8982528*a^2*c^8*d^2 - 1689124864*a^2*c^6*d*e^2 + 
    1242501120*a^2*c^5*d^3*e - 248143872*a^2*c^4*d^5 - 5324800000*a^2*c^4*e^4 - 15377408000*a^2*c^3*d^2*e^3 + 
    6987980800*a^2*c^2*d^4*e^2 - 116359168*a^2*c*d^6*e - 8166400000*a^2*c*d*e^5 - 27262976*a^2*d^8 + 3968000000*a^2*d^3*e^4 -
    2499840*a*b^10*c*e^2 - 23040*a*b^10*d^2*e + 1905920*a*b^9*c^2*d*e - 757760*a*b^9*c*d^3 - 44360064*a*b^9*e^3 - 
    439040*a*b^8*c^4*e + 314880*a*b^8*c^3*d^2 - 201133312*a*b^8*c*d*e^2 - 7890944*a*b^8*d^3*e - 32000*a*b^7*c^5*d + 
    36902400*a*b^7*c^3*e^2 + 153887744*a*b^7*c^2*d^2*e - 41975808*a*b^7*c*d^4 + 145240064*a*b^7*d*e^3 - 
    60113536*a*b^6*c^4*d*e + 19286016*a*b^6*c^3*d^3 - 960570240*a*b^6*c^2*e^3 - 1621209088*a*b^6*c*d^2*e^2 + 
    91439104*a*b^6*d^4*e + 5790720*a*b^5*c^6*e - 2235904*a*b^5*c^5*d^2 + 296782848*a*b^5*c^3*d*e^2 + 
    709087232*a*b^5*c^2*d^3*e - 229638144*a*b^5*c*d^5 + 5234931200*a*b^5*c*e^4 + 11929088000*a*b^5*d^2*e^3 + 3072*a*b^4*c^7*d
    + 19434496*a*b^4*c^5*e^2 + 64782336*a*b^4*c^4*d^2*e - 4022272*a*b^4*c^3*d^4 - 16546675200*a*b^4*c^2*d*e^3 - 
    8068177920*a*b^4*c*d^3*e^2 + 1744371712*a*b^4*d^5*e - 8164800000*a*b^4*e^5 - 125293568*a*b^3*c^6*d*e + 
    42397696*a*b^3*c^5*d^3 + 203673600*a*b^3*c^4*e^3 + 4057272320*a*b^3*c^3*d^2*e^2 - 172113920*a*b^3*c^2*d^4*e - 
    517472256*a*b^3*c*d^6 + 67289600000*a*b^3*c*d*e^4 - 19095552000*a*b^3*d^3*e^3 + 16367616*a*b^2*c^8*e - 
    7856128*a*b^2*c^7*d^2 + 27551744*a*b^2*c^5*d*e^2 + 1609379840*a*b^2*c^4*d^3*e - 268468224*a*b^2*c^3*d^5 + 
    552960000*a*b^2*c^3*e^4 - 39695104000*a*b^2*c^2*d^2*e^3 + 9548595200*a*b^2*c*d^4*e^2 - 2839150592*a*b^2*d^6*e - 
    28409600000*a*b^2*d*e^5 + 258048*a*b*c^9*d - 60641280*a*b*c^7*e^2 - 711344128*a*b*c^6*d^2*e + 188620800*a*b*c^5*d^4 - 
    10126336000*a*b*c^4*d*e^3 + 6178406400*a*b*c^3*d^3*e^2 + 3226337280*a*b*c^2*d^5*e + 1472000000*a*b*c^2*e^5 - 
    1039138816*a*b*c*d^7 - 27315200000*a*b*c*d^2*e^4 - 9072640000*a*b*d^4*e^3 + 73175040*a*c^8*d*e - 22659072*a*c^7*d^3 + 
    2494771200*a*c^6*e^3 - 401612800*a*c^5*d^2*e^2 - 825466880*a*c^4*d^4*e + 242745344*a*c^3*d^6 + 18073600000*a*c^3*d*e^4 - 
    1704960000*a*c^2*d^3*e^3 - 2308505600*a*c*d^5*e^2 - 7680000000*a*c*e^6 + 39321600*a*d^7*e + 1280000000*a*d^2*e^5 + 
    207360*b^12*e^2 - 161280*b^11*c*d*e + 61440*b^11*d^3 + 38400*b^10*c^3*e - 25600*b^10*c^2*d^2 + 23109120*b^10*d*e^2 + 
    2560*b^9*c^4*d - 4337280*b^9*c^2*e^2 - 16168960*b^9*c*d^2*e + 4505600*b^9*d^4 + 6619520*b^8*c^3*d*e - 2170880*b^8*c^2*d^3
    + 72920448*b^8*c*e^3 + 106391552*b^8*d^2*e^2 - 662400*b^7*c^5*e + 275200*b^7*c^4*d^2 + 64015872*b^7*c^2*d*e^2 - 
    55279616*b^7*c*d^3*e + 13500416*b^7*d^5 - 236832000*b^7*e^4 - 3200*b^6*c^6*d - 20678784*b^6*c^4*e^2 - 
    67003392*b^6*c^3*d^2*e + 21921792*b^6*c^2*d^4 - 47150080*b^6*c*d*e^3 - 2005188608*b^6*d^3*e^2 + 38776320*b^5*c^5*d*e - 
    14986240*b^5*c^4*d^3 + 559933440*b^5*c^3*e^3 + 3310508032*b^5*c^2*d^2*e^2 + 1200750592*b^5*c*d^4*e - 331874304*b^5*d^6 + 
    2736256000*b^5*d*e^4 - 4697088*b^4*c^7*e + 2659328*b^4*c^6*d^2 - 1324940800*b^4*c^4*d*e^2 - 2168299520*b^4*c^3*d^3*e + 
    621543424*b^4*c^2*d^5 - 5463360000*b^4*c^2*e^4 - 22576128000*b^4*c*d^2*e^3 + 4818534400*b^4*d^4*e^2 - 121856*b^3*c^8*d + 
    148359168*b^3*c^6*e^2 + 995075072*b^3*c^5*d^2*e - 307245056*b^3*c^4*d^4 + 20623104000*b^3*c^3*d*e^3 + 
    11695104000*b^3*c^2*d^3*e^2 - 6146883584*b^3*c*d^5*e + 13372800000*b^3*c*e^5 + 774897664*b^3*d^7 + 8204800000*b^3*d^2*e^4
    - 173282304*b^2*c^7*d*e + 61018112*b^2*c^6*d^3 - 2623104000*b^2*c^5*e^3 - 12333721600*b^2*c^4*d^2*e^2 + 
    4010557440*b^2*c^3*d^4*e - 268697600*b^2*c^2*d^6 - 66528000000*b^2*c^2*d*e^4 + 20776960000*b^2*c*d^3*e^3 + 
    2932736000*b^2*d^5*e^2 - 9600000000*b^2*e^6 + 10285056*b*c^9*e - 4902912*b*c^8*d^2 + 3076792320*b*c^6*d*e^2 - 
    865619968*b*c^5*d^3*e + 11845632*b*c^4*d^5 + 8448000000*b*c^4*e^4 + 35251200000*b*c^3*d^2*e^3 - 23158784000*b*c^2*d^4*e^2
    + 3017277440*b*c*d^6*e + 62272000000*b*c*d*e^5 + 130023424*b*d^8 - 4556800000*b*d^3*e^4 + 110592*c^10*d - 
    227266560*c^8*e^2 + 64069632*c^7*d^2*e + 1826816*c^6*d^4 - 7135744000*c^5*d*e^3 + 4078592000*c^4*d^3*e^2 - 
    550993920*c^3*d^5*e - 6336000000*c^3*e^5 - 27262976*c^2*d^7 - 25036800000*c^2*d^2*e^4 + 14438400000*c*d^4*e^3 - 
    1507328000*d^6*e^2 - 6400000000*d*e^6
;
M[1][5,1] :=
                                -M[1][1,5];
M[2][1,5] :=
-301989888*a^10*c*e^4 + 11534336*a^10*d^2*e^3 + 94371840*a^9*b^2*e^4 + 319815680*a^9*b*c*d*e^3 - 9830400*a^9*b*d^3*e^2 + 
    33554432*a^9*c^3*e^3 - 180879360*a^9*c^2*d^2*e^2 + 33325056*a^9*c*d^4*e - 884736*a^9*d^6 + 559939584*a^9*d*e^4 - 
    102498304*a^8*b^3*d*e^3 - 128188416*a^8*b^2*c^2*e^3 - 3244032*a^8*b^2*c*d^2*e^2 - 7421952*a^8*b^2*d^4*e + 
    158334976*a^8*b*c^3*d*e^2 + 29491200*a^8*b*c^2*d^3*e - 6782976*a^8*b*c*d^5 + 3180331008*a^8*b*c*e^4 - 
    754057216*a^8*b*d^2*e^3 + 46137344*a^8*c^5*e^2 - 70057984*a^8*c^4*d^2*e + 11984896*a^8*c^3*d^4 + 183500800*a^8*c^2*d*e^3 
    + 378667008*a^8*c*d^3*e^2 - 49692672*a^8*d^5*e - 298844160*a^8*e^5 + 61997056*a^7*b^4*c*e^3 + 21282816*a^7*b^4*d^2*e^2 - 
    69009408*a^7*b^3*c^2*d*e^2 - 6881280*a^7*b^3*c*d^3*e + 2040832*a^7*b^3*d^5 - 950796288*a^7*b^3*e^4 - 
    118882304*a^7*b^2*c^4*e^2 + 27295744*a^7*b^2*c^3*d^2*e - 6168576*a^7*b^2*c^2*d^4 - 3086680064*a^7*b^2*c*d*e^3 + 
    235290624*a^7*b^2*d^3*e^2 + 48562176*a^7*b*c^5*d*e - 6627328*a^7*b*c^4*d^3 - 401604608*a^7*b*c^3*e^3 + 
    1151336448*a^7*b*c^2*d^2*e^2 - 419856384*a^7*b*c*d^4*e + 23703552*a^7*b*d^6 - 5392957440*a^7*b*d*e^4 - 8388608*a^7*c^7*e 
    + 1114112*a^7*c^6*d^2 - 407502848*a^7*c^4*d*e^2 + 400130048*a^7*c^3*d^3*e - 61575168*a^7*c^2*d^5 - 4601675776*a^7*c^2*e^4
    - 556990464*a^7*c*d^2*e^3 - 51658752*a^7*d^4*e^2 - 7831552*a^6*b^6*e^3 + 2113536*a^6*b^5*c*d*e^2 - 1579008*a^6*b^5*d^3*e 
    + 89366528*a^6*b^4*c^3*e^2 - 196608*a^6*b^4*c^2*d^2*e + 676864*a^6*b^4*c*d^4 + 948043776*a^6*b^4*d*e^3 - 
    44400640*a^6*b^3*c^4*d*e + 7905280*a^6*b^3*c^3*d^3 + 1247739904*a^6*b^3*c^2*e^3 + 236617728*a^6*b^3*c*d^2*e^2 + 
    60527616*a^6*b^3*d^4*e + 8110080*a^6*b^2*c^6*e - 3508224*a^6*b^2*c^5*d^2 - 606470144*a^6*b^2*c^3*d*e^2 - 
    420937728*a^6*b^2*c^2*d^3*e + 91047936*a^6*b^2*c*d^5 - 9786458112*a^6*b^2*c*e^4 + 6617219072*a^6*b^2*d^2*e^3 + 
    1015808*a^6*b*c^7*d - 234553344*a^6*b*c^5*e^2 + 263036928*a^6*b*c^4*d^2*e - 58568704*a^6*b*c^3*d^4 + 
    3699638272*a^6*b*c^2*d*e^3 - 2954231808*a^6*b*c*d^3*e^2 + 475115520*a^6*b*d^5*e + 3450470400*a^6*b*e^5 - 131072*a^6*c^9 +
    30539776*a^6*c^6*d*e - 2719744*a^6*c^5*d^3 + 1299382272*a^6*c^4*e^3 - 1737605120*a^6*c^3*d^2*e^2 - 
    152432640*a^6*c^2*d^4*e + 79896576*a^6*c*d^6 + 13882490880*a^6*c*d*e^4 + 5144576*a^6*d^3*e^3 + 1127424*a^5*b^7*d*e^2 - 
    30056448*a^5*b^6*c^2*e^2 - 27648*a^5*b^6*c*d^2*e + 97024*a^5*b^6*d^4 + 14655488*a^5*b^5*c^3*d*e - 3412992*a^5*b^5*c^2*d^3
    - 563642368*a^5*b^5*c*e^3 - 212047872*a^5*b^5*d^2*e^2 - 2729984*a^5*b^4*c^5*e + 2810880*a^5*b^4*c^4*d^2 + 
    103403520*a^5*b^4*c^2*d*e^2 + 83607552*a^5*b^4*c*d^3*e - 20346368*a^5*b^4*d^5 + 3069001728*a^5*b^4*e^4 - 
    1138688*a^5*b^3*c^6*d + 684163072*a^5*b^3*c^4*e^2 + 41156608*a^5*b^3*c^3*d^2*e + 6920192*a^5*b^3*c^2*d^4 + 
    7394000896*a^5*b^3*c*d*e^3 - 1783535616*a^5*b^3*d^3*e^2 + 155648*a^5*b^2*c^8 - 342528000*a^5*b^2*c^5*d*e + 
    58227712*a^5*b^2*c^4*d^3 - 1485963264*a^5*b^2*c^3*e^3 - 1923612672*a^5*b^2*c^2*d^2*e^2 + 1963044864*a^5*b^2*c*d^4*e - 
    187693056*a^5*b^2*d^6 + 13517045760*a^5*b^2*d*e^4 + 54099968*a^5*b*c^7*e - 12460032*a^5*b*c^6*d^2 + 
    4103512064*a^5*b*c^4*d*e^2 - 2044788736*a^5*b*c^3*d^3*e + 287133696*a^5*b*c^2*d^5 + 28767027200*a^5*b*c^2*e^4 - 
    9812836352*a^5*b*c*d^2*e^3 + 390717440*a^5*b*d^4*e^2 + 589824*a^5*c^8*d + 227606528*a^5*c^6*e^2 - 531587072*a^5*c^5*d^2*e
    + 93564928*a^5*c^4*d^4 - 3159916544*a^5*c^3*d*e^3 + 7895736320*a^5*c^2*d^3*e^2 - 1056112640*a^5*c*d^5*e - 
    10481664000*a^5*c*e^5 - 23560192*a^5*d^7 - 8167424000*a^5*d^2*e^4 + 4853760*a^4*b^8*c*e^2 - 76800*a^4*b^8*d^2*e - 
    1858560*a^4*b^7*c^2*d*e + 592640*a^4*b^7*c*d^3 + 67253248*a^4*b^7*e^3 + 291840*a^4*b^6*c^4*e - 992000*a^4*b^6*c^3*d^2 + 
    104067072*a^4*b^6*c*d*e^2 + 13066752*a^4*b^6*d^3*e + 496640*a^4*b^5*c^5*d - 492843008*a^4*b^5*c^3*e^2 - 
    68361216*a^4*b^5*c^2*d^2*e + 7050752*a^4*b^5*c*d^4 - 2545645568*a^4*b^5*d*e^3 - 71680*a^4*b^4*c^7 + 
    268579840*a^4*b^4*c^4*d*e - 58327040*a^4*b^4*c^3*d^3 - 2201047040*a^4*b^4*c^2*e^3 - 662403072*a^4*b^4*c*d^2*e^2 - 
    124635648*a^4*b^4*d^4*e - 47734784*a^4*b^3*c^6*e + 24995840*a^4*b^3*c^5*d^2 - 1282056192*a^4*b^3*c^3*d*e^2 + 
    1277212672*a^4*b^3*c^2*d^3*e - 293127168*a^4*b^3*c*d^5 + 6527385600*a^4*b^3*c*e^4 - 17274050560*a^4*b^3*d^2*e^3 - 
    6049792*a^4*b^2*c^7*d - 648562688*a^4*b^2*c^5*e^2 + 448801792*a^4*b^2*c^4*d^2*e - 13889536*a^4*b^2*c^3*d^4 - 
    18270044160*a^4*b^2*c^2*d*e^3 + 7818260480*a^4*b^2*c*d^3*e^2 - 1292437504*a^4*b^2*d^5*e - 11366400000*a^4*b^2*e^5 + 
    688128*a^4*b*c^9 + 217047040*a^4*b*c^6*d*e - 39247872*a^4*b*c^5*d^3 - 6816931840*a^4*b*c^4*e^3 + 
    1793269760*a^4*b*c^3*d^2*e^2 - 165920768*a^4*b*c^2*d^4*e - 195989504*a^4*b*c*d^6 - 70995968000*a^4*b*c*d*e^4 + 
    8008294400*a^4*b*d^3*e^3 - 65896448*a^4*c^8*e + 9469952*a^4*c^7*d^2 - 3226615808*a^4*c^5*d*e^2 + 3570348032*a^4*c^4*d^3*e
    - 571076608*a^4*c^3*d^5 - 16700416000*a^4*c^3*e^4 - 6268313600*a^4*c^2*d^2*e^3 - 5346508800*a^4*c*d^4*e^2 + 
    741228544*a^4*d^6*e + 9984000000*a^4*d*e^5 - 311040*a^3*b^10*e^2 - 19200*a^3*b^9*c*d*e - 37760*a^3*b^9*d^3 + 
    26880*a^3*b^8*c^3*e + 178560*a^3*b^8*c^2*d^2 - 19620864*a^3*b^8*d*e^2 - 102400*a^3*b^7*c^4*d + 151845888*a^3*b^7*c^2*e^2 
    + 4670208*a^3*b^7*c*d^2*e - 2018304*a^3*b^7*d^4 + 15360*a^3*b^6*c^6 - 76983808*a^3*b^6*c^3*d*e + 22182272*a^3*b^6*c^2*d^3
    + 1220862976*a^3*b^6*c*e^3 + 548622336*a^3*b^6*d^2*e^2 + 14526464*a^3*b^5*c^5*e - 16122880*a^3*b^5*c^4*d^2 + 
    955493376*a^3*b^5*c^2*d*e^2 - 262898688*a^3*b^5*c*d^3*e + 49979392*a^3*b^5*d^5 - 3181639680*a^3*b^5*e^4 + 
    5787648*a^3*b^4*c^6*d - 242092032*a^3*b^4*c^4*e^2 - 732761088*a^3*b^4*c^3*d^2*e + 110918144*a^3*b^4*c^2*d^4 - 
    1024040960*a^3*b^4*c*d*e^3 + 4729338880*a^3*b^4*d^3*e^2 - 749568*a^3*b^3*c^8 + 327849984*a^3*b^3*c^5*d*e - 
    95953920*a^3*b^3*c^4*d^3 + 12702105600*a^3*b^3*c^3*e^3 + 3266713600*a^3*b^3*c^2*d^2*e^2 - 3956277248*a^3*b^3*c*d^4*e + 
    498122752*a^3*b^3*d^6 + 114816000*a^3*b^3*d*e^4 - 29050880*a^3*b^2*c^7*e + 15275008*a^3*b^2*c^6*d^2 - 
    4369873920*a^3*b^2*c^4*d*e^2 + 668884992*a^3*b^2*c^3*d^3*e + 80754688*a^3*b^2*c^2*d^5 - 40858624000*a^3*b^2*c^2*e^4 + 
    60356608000*a^3*b^2*c*d^2*e^3 - 2018037760*a^3*b^2*d^4*e^2 + 3530752*a^3*b*c^8*d + 254476288*a^3*b*c^6*e^2 - 
    678264832*a^3*b*c^5*d^2*e - 1167360*a^3*b*c^4*d^4 + 40867430400*a^3*b*c^3*d*e^3 - 27934064640*a^3*b*c^2*d^3*e^2 + 
    6002606080*a^3*b*c*d^5*e + 60313600000*a^3*b*c*e^5 - 13008896*a^3*b*d^7 + 32847360000*a^3*b*d^2*e^4 - 851968*a^3*c^10 + 
    302235648*a^3*c^7*d*e - 32149504*a^3*c^6*d^3 + 7876485120*a^3*c^5*e^3 - 157265920*a^3*c^4*d^2*e^2 - 
    6443827200*a^3*c^3*d^4*e + 1200332800*a^3*c^2*d^6 + 78528000000*a^3*c^2*d*e^4 + 9965568000*a^3*c*d^3*e^3 + 
    204963840*a^3*d^5*e^2 - 3328000000*a^3*e^6 + 17280*a^2*b^11*d*e - 5760*a^2*b^10*c^2*e - 13440*a^2*b^10*c*d^2 + 
    8320*a^2*b^9*c^3*d - 21960960*a^2*b^9*c*e^2 + 890880*a^2*b^9*d^2*e - 1280*a^2*b^8*c^5 + 8484480*a^2*b^8*c^2*d*e - 
    3198080*a^2*b^8*c*d^3 - 143579136*a^2*b^8*e^3 - 1397760*a^2*b^7*c^4*e + 4682240*a^2*b^7*c^3*d^2 - 
    492774144*a^2*b^7*c*d*e^2 - 29190144*a^2*b^7*d^3*e - 2234880*a^2*b^6*c^5*d + 349427968*a^2*b^6*c^3*e^2 + 
    302133120*a^2*b^6*c^2*d^2*e - 43310080*a^2*b^6*c*d^4 + 1627389440*a^2*b^6*d*e^3 + 317440*a^2*b^5*c^7 - 
    277960704*a^2*b^5*c^4*d*e + 92558336*a^2*b^5*c^3*d^3 - 3634510848*a^2*b^5*c^2*e^3 - 1446813696*a^2*b^5*c*d^2*e^2 - 
    8069120*a^2*b^5*d^4*e + 44618752*a^2*b^4*c^6*e - 28849152*a^2*b^4*c^5*d^2 + 716093440*a^2*b^4*c^3*d*e^2 + 
    69171712*a^2*b^4*c^2*d^3*e + 130433024*a^2*b^4*c*d^5 + 4009600000*a^2*b^4*c*e^4 + 7272678400*a^2*b^4*d^2*e^3 + 
    836608*a^2*b^3*c^7*d + 1194463232*a^2*b^3*c^5*e^2 + 735741952*a^2*b^3*c^4*d^2*e - 164259840*a^2*b^3*c^3*d^4 - 
    11883878400*a^2*b^3*c^2*d*e^3 - 12396103680*a^2*b^3*c*d^3*e^2 + 770375680*a^2*b^3*d^5*e + 9513600000*a^2*b^3*e^5 + 
    378880*a^2*b^2*c^9 - 986434560*a^2*b^2*c^6*d*e + 253285376*a^2*b^2*c^5*d^3 - 10899123200*a^2*b^2*c^4*e^3 + 
    2823659520*a^2*b^2*c^3*d^2*e^2 + 6261258240*a^2*b^2*c^2*d^4*e - 1107935232*a^2*b^2*c*d^6 + 33434880000*a^2*b^2*c*d*e^4 - 
    36064768000*a^2*b^2*d^3*e^3 + 152289280*a^2*b*c^8*e - 69611520*a^2*b*c^7*d^2 + 8614133760*a^2*b*c^5*d*e^2 - 
    2896076800*a^2*b*c^4*d^3*e + 515530752*a^2*b*c^3*d^5 + 27036160000*a^2*b*c^3*e^4 - 65276928000*a^2*b*c^2*d^2*e^3 + 
    14981324800*a^2*b*c*d^4*e^2 - 3307601920*a^2*b*d^6*e - 43072000000*a^2*b*d*e^5 + 5357568*a^2*c^9*d - 
    674643968*a^2*c^7*e^2 - 675778560*a^2*c^6*d^2*e + 110530560*a^2*c^5*d^4 - 44396032000*a^2*c^4*d*e^3 + 
    34890752000*a^2*c^3*d^3*e^2 + 182657024*a^2*c^2*d^5*e - 64396800000*a^2*c^2*e^5 - 1067941888*a^2*c*d^7 - 
    98176000000*a^2*c*d^2*e^4 - 1187840000*a^2*d^4*e^3 + 1244160*a*b^11*e^2 + 111360*a*b^10*c*d*e + 151040*a*b^10*d^3 - 
    119040*a*b^9*c^3*e - 741120*a*b^9*c^2*d^2 + 61740672*a*b^9*d*e^2 + 426240*a*b^8*c^4*d - 93064704*a*b^8*c^2*e^2 - 
    17750784*a*b^8*c*d^2*e + 6674432*a*b^8*d^4 - 64000*a*b^7*c^6 + 60675584*a*b^7*c^3*d*e - 31707136*a*b^7*c^2*d^3 + 
    235133184*a*b^7*c*e^3 - 123030528*a*b^7*d^2*e^2 - 12550912*a*b^6*c^5*e + 13494400*a*b^6*c^4*d^2 + 
    123803776*a*b^6*c^2*d*e^2 + 135567360*a*b^6*c*d^3*e - 245760*a*b^6*d^5 + 347731200*a*b^6*e^4 - 1577984*a*b^5*c^6*d - 
    576163840*a*b^5*c^4*e^2 - 137156608*a*b^5*c^3*d^2*e - 48160768*a*b^5*c^2*d^4 + 3918115840*a*b^5*c*d*e^3 - 
    2509545472*a*b^5*d^3*e^2 + 6144*a*b^4*c^8 + 374351872*a*b^4*c^5*d*e - 89958400*a*b^4*c^4*d^3 + 346444800*a*b^4*c^3*e^3 + 
    2515852800*a*b^4*c^2*d^2*e^2 + 2477096960*a*b^4*c*d^4*e - 230096896*a*b^4*d^6 - 14173120000*a*b^4*d*e^4 - 
    72232960*a*b^3*c^7*e + 46148608*a*b^3*c^6*d^2 - 2663362560*a*b^3*c^4*d*e^2 - 3547443200*a*b^3*c^3*d^3*e + 
    323813376*a*b^3*c^2*d^5 + 18603520000*a*b^3*c^2*e^4 - 17763328000*a*b^3*c*d^2*e^3 + 6780928000*a*b^3*d^4*e^2 - 
    7657472*a*b^2*c^8*d - 590739456*a*b^2*c^6*e^2 + 2243340288*a*b^2*c^5*d^2*e - 400494592*a*b^2*c^4*d^4 + 
    22543360000*a*b^2*c^3*d*e^3 + 14838425600*a*b^2*c^2*d^3*e^2 - 7245955072*a*b^2*c*d^5*e - 56921600000*a*b^2*c*e^5 + 
    655228928*a*b^2*d^7 + 13753600000*a*b^2*d^2*e^4 + 516096*a*b*c^10 + 36683776*a*b*c^7*d*e + 32096256*a*b*c^6*d^3 - 
    870604800*a*b*c^5*e^3 - 20412211200*a*b*c^4*d^2*e^2 + 3509698560*a*b*c^3*d^4*e - 157483008*a*b*c^2*d^6 - 
    55001600000*a*b*c^2*d*e^4 + 63897600000*a*b*c*d^3*e^3 + 235110400*a*b*d^5*e^2 + 17920000000*a*b*e^6 - 64659456*a*c^9*e + 
    7434240*a*c^8*d^2 + 1293783040*a*c^6*d*e^2 + 1555570688*a*c^5*d^3*e - 346578944*a*c^4*d^5 + 16691200000*a*c^4*e^4 + 
    49295360000*a*c^3*d^2*e^3 - 50955264000*a*c^2*d^4*e^2 + 6839009280*a*c*d^6*e + 126464000000*a*c*d*e^5 + 286785536*a*d^8 +
    27852800000*a*d^3*e^4 - 69120*b^12*d*e + 23040*b^11*c^2*e + 53760*b^11*c*d^2 - 33280*b^10*c^3*d + 7695360*b^10*c*e^2 - 
    2403840*b^10*d^2*e + 5120*b^9*c^5 - 4245120*b^9*c^2*d*e + 3061760*b^9*c*d^3 - 3038976*b^9*e^3 + 1107840*b^8*c^4*e - 
    1528960*b^8*c^3*d^2 + 22756224*b^8*c*d*e^2 + 7489536*b^8*d^3*e + 220800*b^7*c^5*d + 64398336*b^7*c^3*e^2 - 
    37237760*b^7*c^2*d^2*e + 1376256*b^7*c*d^4 - 362577920*b^7*d*e^3 - 6400*b^6*c^7 - 28294016*b^6*c^4*d*e + 
    24966144*b^6*c^3*d^3 + 142249600*b^6*c^2*e^3 - 415579136*b^6*c*d^2*e^2 + 49070080*b^6*d^4*e + 7867392*b^5*c^6*e - 
    14452736*b^5*c^5*d^2 + 506457088*b^5*c^3*d*e^2 + 257761280*b^5*c^2*d^3*e - 200671232*b^5*c*d^5 - 1132992000*b^5*c*e^4 + 
    2862080000*b^5*d^2*e^3 + 3031040*b^4*c^7*d + 117755904*b^4*c^5*e^2 - 409640960*b^4*c^4*d^2*e + 340082688*b^4*c^3*d^4 - 
    9283392000*b^4*c^2*d*e^3 + 649625600*b^4*c*d^3*e^2 - 81723392*b^4*d^5*e - 705600000*b^4*e^5 - 243712*b^3*c^9 + 
    11622400*b^3*c^6*d*e - 152570880*b^3*c^5*d^3 + 2918016000*b^3*c^4*e^3 + 4321638400*b^3*c^3*d^2*e^2 - 
    2844180480*b^3*c^2*d^4*e + 502136832*b^3*c*d^6 + 36963200000*b^3*c*d*e^4 - 327680000*b^3*d^3*e^3 + 12969984*b^2*c^8*e + 
    35875840*b^2*c^7*d^2 - 1684177920*b^2*c^5*d*e^2 + 2479616000*b^2*c^4*d^3*e - 414007296*b^2*c^3*d^5 - 
    28915200000*b^2*c^3*e^4 - 22664960000*b^2*c^2*d^2*e^3 + 448512000*b^2*c*d^4*e^2 + 721551360*b^2*d^6*e - 
    12832000000*b^2*d*e^5 - 4718592*b*c^9*d + 395980800*b*c^7*e^2 - 1251393536*b*c^6*d^2*e + 228823040*b*c^5*d^4 + 
    17128960000*b*c^4*d*e^3 + 318464000*b*c^3*d^3*e^2 + 1062502400*b*c^2*d^5*e + 74880000000*b*c^2*e^5 - 261619712*b*c*d^7 - 
    2777600000*b*c*d^2*e^4 - 20275200000*b*d^4*e^3 + 221184*c^11 + 167620608*c^8*d*e - 34611200*c^7*d^3 - 1797632000*c^6*e^3 
    + 1056256000*c^5*d^2*e^2 - 1480089600*c^4*d^4*e + 281051136*c^3*d^6 - 41459200000*c^3*d*e^4 + 6835200000*c^2*d^3*e^3 + 
    13684736000*c*d^5*e^2 - 51200000000*c*e^6 - 2818048000*d^7*e - 32000000000*d^2*e^5
;
M[2][5,1] :=
                                -M[2][1,5];
M[3][1,5] :=
-75497472*a^10*b*e^4 + 58720256*a^10*c*d*e^3 - 2359296*a^10*d^3*e^2 + 53477376*a^9*b^2*d*e^3 - 41943040*a^9*b*c^2*e^3 - 
    105381888*a^9*b*c*d^2*e^2 + 10469376*a^9*b*d^4*e + 5242880*a^9*c^3*d*e^2 + 11403264*a^9*c^2*d^3*e - 2211840*a^9*c*d^5 - 
    629145600*a^9*c*e^4 - 99876864*a^9*d^2*e^3 + 8912896*a^8*b^3*c*e^3 + 11649024*a^8*b^3*d^2*e^2 + 
    99680256*a^8*b^2*c^2*d*e^2 + 14254080*a^8*b^2*c*d^3*e - 1640448*a^8*b^2*d^5 + 1189085184*a^8*b^2*e^4 + 
    28835840*a^8*b*c^4*e^2 - 64356352*a^8*b*c^3*d^2*e + 10088448*a^8*b*c^2*d^4 + 252182528*a^8*b*c*d*e^3 + 
    156893184*a^8*b*d^3*e^2 + 3145728*a^8*c^5*d*e - 344064*a^8*c^4*d^3 + 135266304*a^8*c^3*e^3 - 355860480*a^8*c^2*d^2*e^2 + 
    40304640*a^8*c*d^4*e + 2654208*a^8*d^6 + 1065615360*a^8*d*e^4 - 983040*a^7*b^5*e^3 - 50331648*a^7*b^4*c*d*e^2 - 
    4829184*a^7*b^4*d^3*e - 67371008*a^7*b^3*c^3*e^2 + 31604736*a^7*b^3*c^2*d^2*e - 6327296*a^7*b^3*c*d^4 - 
    997228544*a^7*b^3*d*e^3 + 33521664*a^7*b^2*c^4*d*e - 3358720*a^7*b^2*c^3*d^3 + 28770304*a^7*b^2*c^2*e^3 + 
    884686848*a^7*b^2*c*d^2*e^2 - 179767296*a^7*b^2*d^4*e - 7077888*a^7*b*c^6*e + 393216*a^7*b*c^5*d^2 - 
    3932160*a^7*b*c^3*d*e^2 + 178569216*a^7*b*c^2*d^3*e - 23900160*a^7*b*c*d^5 + 5262802944*a^7*b*c*e^4 - 
    233668608*a^7*b*d^2*e^3 + 65536*a^7*c^7*d + 46137344*a^7*c^5*e^2 - 82198528*a^7*c^4*d^2*e + 14749696*a^7*c^3*d^4 + 
    751960064*a^7*c^2*d*e^3 + 622755840*a^7*c*d^3*e^2 - 95281152*a^7*d^5*e + 924057600*a^7*e^5 + 7206912*a^6*b^6*d*e^2 + 
    43585536*a^6*b^5*c^2*e^2 - 3545088*a^6*b^5*c*d^2*e + 1390080*a^6*b^5*d^4 - 30875648*a^6*b^4*c^3*d*e + 
    4052992*a^6*b^4*c^2*d^3 + 139788288*a^6*b^4*c*e^3 + 28962816*a^6*b^4*d^2*e^2 + 6750208*a^6*b^3*c^5*e - 
    2309120*a^6*b^3*c^4*d^2 - 764706816*a^6*b^3*c^2*d*e^2 - 235646976*a^6*b^3*c*d^3*e + 39779328*a^6*b^3*d^5 - 
    6766608384*a^6*b^3*e^4 + 872448*a^6*b^2*c^6*d - 341082112*a^6*b^2*c^4*e^2 + 433553408*a^6*b^2*c^3*d^2*e - 
    85217280*a^6*b^2*c^2*d^4 - 4892459008*a^6*b^2*c*d*e^3 - 1089146880*a^6*b^2*d^3*e^2 - 131072*a^6*b*c^8 + 
    46104576*a^6*b*c^5*d*e - 6221824*a^6*b*c^4*d^3 - 1476001792*a^6*b*c^3*e^3 + 1321476096*a^6*b*c^2*d^2*e^2 - 
    531259392*a^6*b*c*d^4*e + 21442560*a^6*b*d^6 - 10858659840*a^6*b*d*e^4 - 8060928*a^6*c^7*e + 1687552*a^6*c^6*d^2 - 
    450412544*a^6*c^4*d*e^2 + 565362688*a^6*c^3*d^3*e - 100134912*a^6*c^2*d^5 - 9112780800*a^6*c^2*e^4 - 
    1592590336*a^6*c*d^2*e^3 - 114876416*a^6*d^4*e^2 - 11381760*a^5*b^7*c*e^2 - 142848*a^5*b^7*d^2*e + 
    9818112*a^5*b^6*c^2*d*e - 1567744*a^5*b^6*c*d^3 - 21391360*a^5*b^6*e^3 - 2317312*a^5*b^5*c^4*e + 2050048*a^5*b^5*c^3*d^2 
    + 321159168*a^5*b^5*c*d*e^2 + 46479360*a^5*b^5*d^3*e - 1025024*a^5*b^4*c^5*d + 620449792*a^5*b^4*c^3*e^2 - 
    147130368*a^5*b^4*c^2*d^2*e + 41492992*a^5*b^4*c*d^4 + 5993205760*a^5*b^4*d*e^3 + 155648*a^5*b^3*c^7 - 
    319854592*a^5*b^3*c^4*d*e + 49588224*a^5*b^3*c^3*d^3 + 1814888448*a^5*b^3*c^2*e^3 - 1780402176*a^5*b^3*c*d^2*e^2 + 
    1071860736*a^5*b^3*d^4*e + 60764160*a^5*b^2*c^6*e - 11369472*a^5*b^2*c^5*d^2 + 1755512832*a^5*b^2*c^3*d*e^2 - 
    1923772416*a^5*b^2*c^2*d^3*e + 323721216*a^5*b^2*c*d^5 - 7814430720*a^5*b^2*c*e^4 + 7928819712*a^5*b^2*d^2*e^3 + 
    245760*a^5*b*c^7*d + 39419904*a^5*b*c^5*e^2 - 276996096*a^5*b*c^4*d^2*e + 40574976*a^5*b*c^3*d^4 + 
    6103154688*a^5*b*c^2*d*e^3 - 2509611008*a^5*b*c*d^3*e^2 + 763531264*a^5*b*d^5*e - 9431040000*a^5*b*e^5 + 
    56623104*a^5*c^6*d*e - 10825728*a^5*c^5*d^3 + 2696953856*a^5*c^4*e^3 - 3530203136*a^5*c^3*d^2*e^2 - 3158016*a^5*c^2*d^4*e
    + 113491968*a^5*c*d^6 + 23706419200*a^5*c*d*e^4 - 241090560*a^5*d^3*e^3 + 1059840*a^4*b^9*e^2 - 1221120*a^4*b^8*c*d*e + 
    170880*a^4*b^8*d^3 + 322560*a^4*b^7*c^3*e - 758400*a^4*b^7*c^2*d^2 - 42860544*a^4*b^7*d*e^2 + 453120*a^4*b^6*c^4*d - 
    363589632*a^4*b^6*c^2*e^2 + 3220992*a^4*b^6*c*d^2*e - 9933952*a^4*b^6*d^4 - 71680*a^4*b^5*c^6 + 241301504*a^4*b^5*c^3*d*e
    - 44924416*a^4*b^5*c^2*d^3 - 1543960576*a^4*b^5*c*e^3 - 879203328*a^4*b^5*d^2*e^2 - 49893376*a^4*b^4*c^5*e + 
    20684800*a^4*b^4*c^4*d^2 + 451848192*a^4*b^4*c^2*d*e^2 + 1086799872*a^4*b^4*c*d^3*e - 256544256*a^4*b^4*d^5 + 
    16337203200*a^4*b^4*e^4 - 5330944*a^4*b^3*c^6*d + 469025792*a^4*b^3*c^4*e^2 - 105238528*a^4*b^3*c^3*d^2*e + 
    84315136*a^4*b^3*c^2*d^4 + 7929221120*a^4*b^3*c*d*e^3 + 1356830720*a^4*b^3*d^3*e^2 + 688128*a^4*b^2*c^8 - 
    112035840*a^4*b^2*c^5*d*e + 26606592*a^4*b^2*c^4*d^3 - 1533542400*a^4*b^2*c^3*e^3 - 325447680*a^4*b^2*c^2*d^2*e^2 + 
    1658707968*a^4*b^2*c*d^4*e - 297629696*a^4*b^2*d^6 + 34742016000*a^4*b^2*d*e^4 - 13664256*a^4*b*c^7*e - 
    4435968*a^4*b*c^6*d^2 + 2975928320*a^4*b*c^4*d*e^2 - 332644352*a^4*b*c^3*d^3*e + 83447808*a^4*b*c^2*d^5 + 
    50005504000*a^4*b*c^2*e^4 - 18006016000*a^4*b*c*d^2*e^3 + 804495360*a^4*b*d^4*e^2 + 425984*a^4*c^8*d + 
    127418368*a^4*c^6*e^2 - 516939776*a^4*c^5*d^2*e + 97017856*a^4*c^4*d^4 - 3701555200*a^4*c^3*d*e^3 + 
    12040069120*a^4*c^2*d^3*e^2 - 2095333376*a^4*c*d^5*e - 409600000*a^4*c*e^5 + 50094080*a^4*d^7 - 11438080000*a^4*d^2*e^4 +
    40320*a^3*b^10*d*e - 13440*a^3*b^9*c^2*e + 144000*a^3*b^9*c*d^2 - 94080*a^3*b^8*c^3*d + 89157120*a^3*b^8*c*e^2 + 
    2652288*a^3*b^8*d^2*e + 15360*a^3*b^7*c^5 - 68074752*a^3*b^7*c^2*d*e + 15565824*a^3*b^7*c*d^3 + 206560768*a^3*b^7*e^3 + 
    15314432*a^3*b^6*c^4*e - 13051008*a^3*b^6*c^3*d^2 - 63148032*a^3*b^6*c*d*e^2 - 123720192*a^3*b^6*d^3*e + 
    5254144*a^3*b^5*c^5*d - 1232353280*a^3*b^5*c^3*e^2 - 188642304*a^3*b^5*c^2*d^2*e + 1988608*a^3*b^5*c*d^4 - 
    13827123200*a^3*b^5*d*e^3 - 749568*a^3*b^4*c^7 + 657452032*a^3*b^4*c^4*d*e - 156118528*a^3*b^4*c^3*d^3 - 
    2220144640*a^3*b^4*c^2*e^3 + 1359928320*a^3*b^4*c*d^2*e^2 - 2532124672*a^3*b^4*d^4*e - 97582080*a^3*b^3*c^6*e + 
    32703488*a^3*b^3*c^5*d^2 - 7724472320*a^3*b^3*c^3*d*e^2 + 3777087488*a^3*b^3*c^2*d^3*e - 634945536*a^3*b^3*c*d^5 - 
    25110400000*a^3*b^3*c*e^4 - 23794534400*a^3*b^3*d^2*e^3 + 2915328*a^3*b^2*c^7*d - 1398434816*a^3*b^2*c^5*e^2 + 
    1452264448*a^3*b^2*c^4*d^2*e - 393242624*a^3*b^2*c^3*d^4 - 31104307200*a^3*b^2*c^2*d*e^3 + 2466549760*a^3*b^2*c*d^3*e^2 -
    1316249600*a^3*b^2*d^5*e + 33888000000*a^3*b^2*e^5 - 851968*a^3*b*c^9 + 296153088*a^3*b*c^6*d*e - 12484608*a^3*b*c^5*d^3 
    - 11824742400*a^3*b*c^4*e^3 + 5782691840*a^3*b*c^3*d^2*e^2 - 3532431360*a^3*b*c^2*d^4*e + 119603200*a^3*b*c*d^6 - 
    124157440000*a^3*b*c*d*e^4 + 16466944000*a^3*b*d^3*e^3 - 52150272*a^3*c^8*e + 10145792*a^3*c^7*d^2 - 
    3537694720*a^3*c^5*d*e^2 + 3978752000*a^3*c^4*d^3*e - 699621376*a^3*c^3*d^5 - 34403840000*a^3*c^3*e^4 - 
    6284288000*a^3*c^2*d^2*e^3 - 7529267200*a^3*c*d^4*e^2 + 1002045440*a^3*d^6*e + 3712000000*a^3*d*e^5 - 11520*a^2*b^11*d^2 
    + 7680*a^2*b^10*c^2*d - 7902720*a^2*b^10*e^2 - 1280*a^2*b^9*c^4 + 7357440*a^2*b^9*c*d*e - 1614080*a^2*b^9*d^3 - 
    1843200*a^2*b^8*c^3*e + 3717120*a^2*b^8*c^2*d^2 + 9645696*a^2*b^8*d*e^2 - 2044160*a^2*b^7*c^4*d + 
    729460608*a^2*b^7*c^2*e^2 + 77068800*a^2*b^7*c*d^2*e + 12093440*a^2*b^7*d^4 + 317440*a^2*b^6*c^6 - 
    441990400*a^2*b^6*c^3*d*e + 116805888*a^2*b^6*c^2*d^3 + 3172193792*a^2*b^6*c*e^3 + 2663103744*a^2*b^6*d^2*e^2 + 
    81945600*a^2*b^5*c^5*e - 36662784*a^2*b^5*c^4*d^2 + 3528872448*a^2*b^5*c^2*d*e^2 - 1616506880*a^2*b^5*c*d^3*e + 
    563511296*a^2*b^5*d^5 - 13675123200*a^2*b^5*e^4 + 1022976*a^2*b^4*c^6*d + 2097239040*a^2*b^4*c^4*e^2 - 
    1529213952*a^2*b^4*c^3*d^2*e + 297860096*a^2*b^4*c^2*d^4 + 18413772800*a^2*b^4*c*d*e^3 + 2689448960*a^2*b^4*d^3*e^2 + 
    378880*a^2*b^3*c^8 - 758274048*a^2*b^3*c^5*d*e + 171150336*a^2*b^3*c^4*d^3 + 20758732800*a^2*b^3*c^3*e^3 + 
    2319513600*a^2*b^3*c^2*d^2*e^2 + 384245760*a^2*b^3*c*d^4*e + 618430464*a^2*b^3*d^6 - 38587520000*a^2*b^3*d*e^4 + 
    189757440*a^2*b^2*c^7*e - 72827904*a^2*b^2*c^6*d^2 + 5150407680*a^2*b^2*c^4*d*e^2 - 5775790080*a^2*b^2*c^3*d^3*e + 
    1351446528*a^2*b^2*c^2*d^5 - 39720960000*a^2*b^2*c^2*e^4 + 108939264000*a^2*b^2*c*d^2*e^3 - 6074880000*a^2*b^2*d^4*e^2 + 
    5099520*a^2*b*c^8*d + 1075986432*a^2*b*c^6*e^2 - 2269728768*a^2*b*c^5*d^2*e + 347860992*a^2*b*c^4*d^4 + 
    53821440000*a^2*b*c^3*d*e^3 - 31133491200*a^2*b*c^2*d^3*e^2 + 11719409664*a^2*b*c*d^5*e - 11596800000*a^2*b*c*e^5 - 
    732364800*a^2*b*d^7 + 46425600000*a^2*b*d^2*e^4 + 313933824*a^2*c^7*d*e - 72695808*a^2*c^6*d^3 + 12936396800*a^2*c^5*e^3 
    - 3925708800*a^2*c^4*d^2*e^2 - 5505269760*a^2*c^3*d^4*e + 1303265280*a^2*c^2*d^6 + 121612800000*a^2*c^2*d*e^4 + 
    1433600000*a^2*c*d^3*e^3 + 225689600*a^2*d^5*e^2 + 10880000000*a^2*e^6 - 161280*a*b^11*d*e + 53760*a*b^10*c^2*e - 
    599040*a*b^10*c*d^2 + 391680*a*b^9*c^3*d - 173351040*a*b^9*c*e^2 - 8507904*a*b^9*d^2*e - 64000*a*b^8*c^5 + 
    110484096*a*b^8*c^2*d*e - 38177792*a*b^8*c*d^3 - 419897472*a*b^8*e^3 - 22719616*a*b^7*c^4*e + 15130624*a*b^7*c^3*d^2 - 
    1621721088*a*b^7*c*d*e^2 + 54202368*a*b^7*d^3*e - 1571712*a*b^6*c^5*d - 684462720*a*b^6*c^3*e^2 + 
    902638080*a*b^6*c^2*d^2*e - 275210240*a*b^6*c*d^4 + 9633492480*a*b^6*d*e^3 + 6144*a*b^5*c^7 + 227830272*a*b^5*c^4*d*e - 
    38586368*a*b^5*c^3*d^3 - 10988441600*a*b^5*c^2*e^3 - 6324922368*a*b^5*c*d^2*e^2 + 1754595328*a*b^5*d^4*e - 
    82326528*a*b^4*c^6*e + 43865088*a*b^4*c^5*d^2 - 1783764480*a*b^4*c^3*d*e^2 - 615782400*a*b^4*c^2*d^3*e - 
    525139968*a*b^4*c*d^5 + 50355520000*a*b^4*c*e^4 + 9992960000*a*b^4*d^2*e^3 - 7277568*a*b^3*c^7*d - 
    1065654272*a*b^3*c^5*e^2 + 3920942080*a*b^3*c^4*d^2*e - 658259968*a*b^3*c^3*d^4 - 30561024000*a*b^3*c^2*d*e^3 - 
    11789516800*a*b^3*c*d^3*e^2 - 889913344*a*b^3*d^5*e - 43459200000*a*b^3*e^5 + 516096*a*b^2*c^9 - 581317632*a*b^2*c^6*d*e 
    + 159559680*a*b^2*c^5*d^3 - 20973696000*a*b^2*c^4*e^3 - 4094822400*a*b^2*c^3*d^2*e^2 + 8643502080*a*b^2*c^2*d^4*e - 
    2035679232*a*b^2*c*d^6 + 109152000000*a*b^2*c*d*e^4 - 58936320000*a*b^2*d^3*e^3 - 22892544*a*b*c^8*e - 712704*a*b*c^7*d^2
    + 5847674880*a*b*c^5*d*e^2 + 731443200*a*b*c^4*d^3*e - 347897856*a*b*c^3*d^5 + 64665600000*a*b*c^3*e^4 - 
    113525760000*a*b*c^2*d^2*e^3 + 20856832000*a*b*c*d^4*e^2 - 3158179840*a*b*d^6*e - 23232000000*a*b*d*e^5 - 110592*a*c^9*d 
    - 1287475200*a*c^7*e^2 + 78815232*a*c^6*d^2*e + 55189504*a*c^5*d^4 - 55749120000*a*c^4*d*e^3 + 45212672000*a*c^3*d^3*e^2 
    - 6882918400*a*c^2*d^5*e - 45760000000*a*c^2*e^5 - 149159936*a*c*d^7 - 96716800000*a*c*d^2*e^4 + 9216000000*a*d^4*e^3 + 
    46080*b^12*d^2 - 30720*b^11*c^2*d + 14653440*b^11*e^2 + 5120*b^10*c^4 - 9569280*b^10*c*d*e + 3768320*b^10*d^3 + 
    2104320*b^9*c^3*e - 1670400*b^9*c^2*d^2 + 183927552*b^9*d*e^2 + 217600*b^8*c^4*d + 79886976*b^8*c^2*e^2 - 
    110865408*b^8*c*d^2*e + 22495232*b^8*d^4 - 6400*b^7*c^6 - 28152320*b^7*c^3*d*e + 19965952*b^7*c^2*d^3 + 
    652003840*b^7*c*e^3 - 1474811904*b^7*d^2*e^2 + 11135232*b^6*c^5*e - 13908096*b^6*c^4*d^2 + 1970782464*b^6*c^2*d*e^2 + 
    892903424*b^6*c*d^3*e - 277086208*b^6*d^5 - 830160000*b^6*e^4 + 2909184*b^5*c^6*d - 50783232*b^5*c^4*e^2 - 
    1520996352*b^5*c^3*d^2*e + 535494656*b^5*c^2*d^4 - 14596710400*b^5*c*d*e^3 - 1006305280*b^5*d^3*e^2 - 243712*b^4*c^8 + 
    338955264*b^4*c^5*d*e - 213667328*b^4*c^4*d^3 + 9090816000*b^4*c^3*e^3 + 13760793600*b^4*c^2*d^2*e^2 - 
    2098790400*b^4*c*d^4*e + 137101312*b^4*d^6 + 18248000000*b^4*d*e^4 - 13320192*b^3*c^7*e + 40166400*b^3*c^6*d^2 - 
    6269440000*b^3*c^4*d*e^2 - 1045995520*b^3*c^3*d^3*e + 537231360*b^3*c^2*d^5 - 46646400000*b^3*c^2*e^4 - 
    39459840000*b^3*c*d^2*e^3 + 17133568000*b^3*d^4*e^2 - 4608000*b^2*c^8*d + 996771840*b^2*c^6*e^2 + 100478976*b^2*c^5*d^2*e
    - 115292160*b^2*c^4*d^4 + 55971840000*b^2*c^3*d*e^3 + 6325760000*b^2*c^2*d^3*e^2 - 10149560320*b^2*c*d^5*e + 
    69504000000*b^2*c*e^5 + 1606418432*b^2*d^7 - 1862400000*b^2*d^2*e^4 + 221184*b*c^10 - 3649536*b*c^7*d*e + 
    6418432*b*c^6*d^3 - 1226240000*b*c^5*e^3 - 16459776000*b*c^4*d^2*e^2 + 5524684800*b*c^3*d^4*e - 429064192*b*c^2*d^6 - 
    142425600000*b*c^2*d*e^4 + 93593600000*b*c*d^3*e^3 - 9297920000*b*d^5*e^2 - 32000000000*b*e^6 + 5971968*c^9*e - 
    1437696*c^8*d^2 + 2650521600*c^6*d*e^2 - 975175680*c^5*d^3*e + 79814656*c^4*d^5 + 268800000*c^4*e^4 + 
    60825600000*c^3*d^2*e^3 - 48711680000*c^2*d^4*e^2 + 11055923200*c*d^6*e + 98560000000*c*d*e^5 - 692060160*d^8 - 
    10368000000*d^3*e^4
;
M[3][5,1] :=
                                -M[3][1,5];
M[4][1,5] :=
-100663296*a^11*e^4 + 100663296*a^10*b*d*e^3 - 16777216*a^10*c^2*e^3 - 86507520*a^10*c*d^2*e^2 + 12386304*a^10*d^4*e - 
    12582912*a^9*b^2*c*e^3 - 5308416*a^9*b^2*d^2*e^2 + 99090432*a^9*b*c^2*d*e^2 + 18481152*a^9*b*c*d^3*e - 3096576*a^9*b*d^5 
    + 1283457024*a^9*b*e^4 + 41943040*a^9*c^4*e^2 - 59506688*a^9*c^3*d^2*e + 9879552*a^9*c^2*d^4 + 342884352*a^9*c*d*e^3 + 
    69992448*a^9*d^3*e^2 + 2359296*a^8*b^4*e^3 - 44630016*a^8*b^3*c*d*e^2 - 3735552*a^8*b^3*d^3*e - 87687168*a^8*b^2*c^3*e^2 
    + 28311552*a^8*b^2*c^2*d^2*e - 5849088*a^8*b^2*c*d^4 - 1349124096*a^8*b^2*d*e^3 + 38535168*a^8*b*c^4*d*e - 
    4882432*a^8*b*c^3*d^3 + 21495808*a^8*b*c^2*e^3 + 632684544*a^8*b*c*d^2*e^2 - 177438720*a^8*b*d^4*e - 7340032*a^8*c^6*e + 
    884736*a^8*c^5*d^2 - 265814016*a^8*c^3*d*e^2 + 279379968*a^8*c^2*d^3*e - 40992768*a^8*c*d^5 - 1709703168*a^8*c*e^4 - 
    388890624*a^8*d^2*e^3 + 6340608*a^7*b^5*d*e^2 + 54902784*a^7*b^4*c^2*e^2 - 3637248*a^7*b^4*c*d^2*e + 1330176*a^7*b^4*d^4 
    - 33357824*a^7*b^3*c^3*d*e + 5201920*a^7*b^3*c^2*d^3 + 257097728*a^7*b^3*c*e^3 + 197246976*a^7*b^3*d^2*e^2 + 
    6881280*a^7*b^2*c^5*e - 2813952*a^7*b^2*c^4*d^2 - 533200896*a^7*b^2*c^2*d*e^2 - 284983296*a^7*b^2*c*d^3*e + 
    53422080*a^7*b^2*d^5 - 5949161472*a^7*b^2*e^4 + 950272*a^7*b*c^6*d - 297009152*a^7*b*c^4*e^2 + 323780608*a^7*b*c^3*d^2*e 
    - 68628480*a^7*b*c^2*d^4 - 1474691072*a^7*b*c*d*e^3 - 423395328*a^7*b*d^3*e^2 - 131072*a^7*c^8 + 24576000*a^7*c^5*d*e - 
    950272*a^7*c^4*d^3 + 336855040*a^7*c^3*e^3 - 985366528*a^7*c^2*d^2*e^2 - 73383936*a^7*c*d^4*e + 32219136*a^7*d^6 + 
    1270087680*a^7*d*e^4 - 14254080*a^6*b^6*c*e^2 - 73728*a^6*b^6*d^2*e + 10248192*a^6*b^5*c^2*d*e - 1910784*a^6*b^5*c*d^3 - 
    42811392*a^6*b^5*e^3 - 2281472*a^6*b^4*c^4*e + 2244608*a^6*b^4*c^3*d^2 + 202850304*a^6*b^4*c*d*e^2 + 
    37183488*a^6*b^4*d^3*e - 1060864*a^6*b^3*c^5*d + 648937472*a^6*b^3*c^3*e^2 - 96411648*a^6*b^3*c^2*d^2*e + 
    31091712*a^6*b^3*c*d^4 + 6414827520*a^6*b^3*d*e^3 + 155648*a^6*b^2*c^7 - 307126272*a^6*b^2*c^4*d*e + 
    51552256*a^6*b^2*c^3*d^3 - 94437376*a^6*b^2*c^2*e^3 - 1228062720*a^6*b^2*c*d^2*e^2 + 932800512*a^6*b^2*d^4*e + 
    53772288*a^6*b*c^6*e - 12681216*a^6*b*c^5*d^2 + 3119808512*a^6*b*c^3*d*e^2 - 1886371840*a^6*b*c^2*d^3*e + 
    292835328*a^6*b*c*d^5 + 15096217600*a^6*b*c*e^4 + 2346582016*a^6*b*d^2*e^3 + 655360*a^6*c^7*d + 290553856*a^6*c^5*e^2 - 
    497860608*a^6*c^4*d^2*e + 80850944*a^6*c^3*d^4 + 2636578816*a^6*c^2*d*e^3 + 2020409344*a^6*c*d^3*e^2 - 
    170156032*a^6*d^5*e - 1794048000*a^6*e^5 + 1336320*a^5*b^8*e^2 - 1167360*a^5*b^7*c*d*e + 207360*a^5*b^7*d^3 + 
    286720*a^5*b^6*c^3*e - 791040*a^5*b^6*c^2*d^2 - 28194816*a^5*b^6*d*e^2 + 460800*a^5*b^5*c^4*d - 397406208*a^5*b^5*c^2*e^2
    + 3121152*a^5*b^5*c*d^2*e - 8584704*a^5*b^5*d^4 - 71680*a^5*b^4*c^6 + 237961216*a^5*b^4*c^3*d*e - 
    48596992*a^5*b^4*c^2*d^3 - 1269940224*a^5*b^4*c*e^3 - 1358923776*a^5*b^4*d^2*e^2 - 47247360*a^5*b^3*c^5*e + 
    22938624*a^5*b^3*c^4*d^2 - 529653760*a^5*b^3*c^2*d*e^2 + 1263611904*a^5*b^3*c*d^3*e - 289434624*a^5*b^3*d^5 + 
    11651235840*a^5*b^3*e^4 - 5783552*a^5*b^2*c^6*d - 167276544*a^5*b^2*c^4*e^2 + 129392640*a^5*b^2*c^3*d^2*e + 
    44625920*a^5*b^2*c^2*d^4 - 4848877568*a^5*b^2*c*d*e^3 - 44937216*a^5*b^2*d^3*e^2 + 688128*a^5*b*c^8 + 
    158973952*a^5*b*c^5*d*e - 29528064*a^5*b*c^4*d^3 - 3992879104*a^5*b*c^3*e^3 + 2840223744*a^5*b*c^2*d^2*e^2 - 
    23658496*a^5*b*c*d^4*e - 211251200*a^5*b*d^6 - 7953203200*a^5*b*d*e^4 - 61079552*a^5*c^7*e + 8183808*a^5*c^6*d^2 - 
    2546204672*a^5*c^4*d*e^2 + 2848210944*a^5*c^3*d^3*e - 437170176*a^5*c^2*d^5 - 8649523200*a^5*c^2*e^4 - 
    8807546880*a^5*c*d^2*e^3 - 317194240*a^5*d^4*e^2 + 23040*a^4*b^9*d*e - 7680*a^4*b^8*c^2*e + 145920*a^4*b^8*c*d^2 - 
    94720*a^4*b^7*c^3*d + 100408320*a^4*b^7*c*e^2 + 1747968*a^4*b^7*d^2*e + 15360*a^4*b^6*c^5 - 67740672*a^4*b^6*c^2*d*e + 
    16950784*a^4*b^6*c*d^3 + 205678592*a^4*b^6*e^3 + 14605312*a^4*b^5*c^4*e - 14000128*a^4*b^5*c^3*d^2 + 
    358606848*a^4*b^5*c*d*e^2 - 101769216*a^4*b^5*d^3*e + 5448704*a^4*b^4*c^5*d - 867938304*a^4*b^4*c^3*e^2 - 
    324585472*a^4*b^4*c^2*d^2*e + 34781696*a^4*b^4*c*d^4 - 12525281280*a^4*b^4*d*e^3 - 749568*a^4*b^3*c^7 + 
    453142528*a^4*b^3*c^4*d*e - 123209728*a^4*b^3*c^3*d^3 + 3968819200*a^4*b^3*c^2*e^3 + 2408253440*a^4*b^3*c*d^2*e^2 - 
    2009230336*a^4*b^3*d^4*e - 54300672*a^4*b^2*c^6*e + 25320448*a^4*b^2*c^5*d^2 - 6332375040*a^4*b^2*c^3*d*e^2 + 
    2285236224*a^4*b^2*c^2*d^3*e - 312825856*a^4*b^2*c*d^5 - 42389504000*a^4*b^2*c*e^4 - 787968000*a^4*b^2*d^2*e^3 + 
    2760704*a^4*b*c^7*d - 652197888*a^4*b*c^5*e^2 + 298369024*a^4*b*c^4*d^2*e - 155172864*a^4*b*c^3*d^4 - 
    523878400*a^4*b*c^2*d*e^3 - 6116515840*a^4*b*c*d^3*e^2 + 1293758464*a^4*b*d^5*e + 11366400000*a^4*b*e^5 - 851968*a^4*c^9 
    + 262422528*a^4*c^6*d*e - 20459520*a^4*c^5*d^3 + 4240588800*a^4*c^4*e^3 - 1329520640*a^4*c^3*d^2*e^2 - 
    3693957120*a^4*c^2*d^4*e + 640565248*a^4*c*d^6 + 16076800000*a^4*c*d*e^4 + 4696064000*a^4*d^3*e^3 - 11520*a^3*b^10*d^2 + 
    7680*a^3*b^9*c^2*d - 9146880*a^3*b^9*e^2 - 1280*a^3*b^8*c^4 + 6973440*a^3*b^8*c*d*e - 1779840*a^3*b^8*d^3 - 
    1635840*a^3*b^7*c^3*e + 3880320*a^3*b^7*c^2*d^2 - 39436800*a^3*b^7*d*e^2 - 2083840*a^3*b^6*c^4*d + 
    645209600*a^3*b^6*c^2*e^2 + 73958400*a^3*b^6*c*d^2*e + 7394304*a^3*b^6*d^4 + 317440*a^3*b^5*c^6 - 
    370530304*a^3*b^5*c^3*d*e + 109017600*a^3*b^5*c^2*d^3 + 1426108416*a^3*b^5*c*e^3 + 2976279552*a^3*b^5*d^2*e^2 + 
    66490368*a^3*b^4*c^5*e - 36088832*a^3*b^4*c^4*d^2 + 2957813760*a^3*b^4*c^2*d*e^2 - 1822918656*a^3*b^4*c*d^3*e + 
    567459840*a^3*b^4*d^5 - 7363200000*a^3*b^4*e^4 + 1400832*a^3*b^3*c^6*d + 2170291200*a^3*b^3*c^4*e^2 - 
    643813376*a^3*b^3*c^3*d^2*e + 113504256*a^3*b^3*c^2*d^4 + 23653068800*a^3*b^3*c*d*e^3 + 2061281280*a^3*b^3*d^3*e^2 + 
    378880*a^3*b^2*c^8 - 999020544*a^3*b^2*c^5*d*e + 234996736*a^3*b^2*c^4*d^3 + 4776140800*a^3*b^2*c^3*e^3 - 
    1714728960*a^3*b^2*c^2*d^2*e^2 + 2787041280*a^3*b^2*c*d^4*e + 170377216*a^3*b^2*d^6 + 9585920000*a^3*b^2*d*e^4 + 
    195158016*a^3*b*c^7*e - 79011840*a^3*b*c^6*d^2 + 11770982400*a^3*b*c^4*d*e^2 - 7269416960*a^3*b*c^3*d^3*e + 
    1362247680*a^3*b*c^2*d^5 + 41464320000*a^3*b*c^2*e^4 + 25286656000*a^3*b*c*d^2*e^3 - 1898700800*a^3*b*d^4*e^2 + 
    5783552*a^3*c^8*d - 74358784*a^3*c^6*e^2 - 873529344*a^3*c^5*d^2*e + 104779776*a^3*c^4*d^4 - 7165952000*a^3*c^3*d*e^3 + 
    12393472000*a^3*c^2*d^3*e^2 + 645660672*a^3*c*d^5*e - 15718400000*a^3*c*e^5 - 308510720*a^3*d^7 - 8166400000*a^3*d^2*e^4 
    - 74880*a^2*b^10*d*e + 24960*a^2*b^9*c^2*e - 608640*a^2*b^9*c*d^2 + 394880*a^2*b^8*c^3*d - 169075200*a^2*b^8*c*e^2 - 
    5334144*a^2*b^8*d^2*e - 64000*a^2*b^7*c^5 + 101217536*a^2*b^7*c^2*d*e - 37850112*a^2*b^7*c*d^3 - 273908736*a^2*b^7*e^3 - 
    20409856*a^2*b^6*c^4*e + 15594624*a^2*b^6*c^3*d^2 - 1671059968*a^2*b^6*c*d*e^2 + 46183424*a^2*b^6*d^3*e - 
    1733632*a^2*b^5*c^5*d - 895930368*a^2*b^5*c^3*e^2 + 809819136*a^2*b^5*c^2*d^2*e - 256483328*a^2*b^5*c*d^4 + 
    8112599040*a^2*b^5*d*e^3 + 6144*a^2*b^4*c^7 + 373965824*a^2*b^4*c^4*d*e - 68678144*a^2*b^4*c^3*d^3 - 
    9804953600*a^2*b^4*c^2*e^3 - 6934809600*a^2*b^4*c*d^2*e^2 + 1213890560*a^2*b^4*d^4*e - 104199168*a^2*b^3*c^6*e + 
    50039808*a^2*b^3*c^5*d^2 - 3682723840*a^2*b^3*c^3*d*e^2 + 844892160*a^2*b^3*c^2*d^3*e - 670777344*a^2*b^3*c*d^5 + 
    37843840000*a^2*b^3*c*e^4 - 8187648000*a^2*b^3*d^2*e^3 - 7588864*a^2*b^2*c^7*d - 1365267456*a^2*b^2*c^5*e^2 + 
    3478471680*a^2*b^2*c^4*d^2*e - 628250624*a^2*b^2*c^3*d^4 - 24010240000*a^2*b^2*c^2*d*e^3 - 4352716800*a^2*b^2*c*d^3*e^2 -
    2471411712*a^2*b^2*d^5*e - 15993600000*a^2*b^2*e^5 + 516096*a^2*b*c^9 - 180858880*a^2*b*c^6*d*e + 97947648*a^2*b*c^5*d^3 
    - 14490624000*a^2*b*c^4*e^3 - 6154444800*a^2*b*c^3*d^2*e^2 + 7180410880*a^2*b*c^2*d^4*e - 1735163904*a^2*b*c*d^6 - 
    43916800000*a^2*b*c*d*e^4 - 11494400000*a^2*b*d^3*e^3 - 81985536*a^2*c^8*e + 9031680*a^2*c^7*d^2 - 
    2189455360*a^2*c^5*d*e^2 + 3571159040*a^2*c^4*d^3*e - 583999488*a^2*c^3*d^5 - 4723200000*a^2*c^3*e^4 - 
    17771520000*a^2*c^2*d^2*e^3 - 7651328000*a^2*c*d^4*e^2 + 949780480*a^2*d^6*e + 9344000000*a^2*d*e^5 + 46080*a*b^11*d^2 - 
    30720*a*b^10*c^2*d + 15223680*a*b^10*e^2 + 5120*a*b^9*c^4 - 9008640*a*b^9*c*d*e + 3850240*a*b^9*d^3 + 1885440*a*b^8*c^3*e
    - 1790080*a*b^8*c^2*d^2 + 197664384*a*b^8*d*e^2 + 249600*a*b^7*c^4*d + 149127552*a*b^7*c^2*e^2 - 93134848*a*b^7*c*d^2*e +
    23117824*a*b^7*d^4 - 6400*a*b^6*c^6 - 77526272*a*b^6*c^3*d*e + 26928128*a*b^6*c^2*d^3 + 1104793600*a*b^6*c*e^3 - 
    1579328512*a*b^6*d^2*e^2 + 20161536*a*b^5*c^5*e - 15377920*a*b^5*c^4*d^2 + 2756203008*a*b^5*c^2*d*e^2 + 
    985612288*a*b^5*c*d^3*e - 278593536*a*b^5*d^5 - 1869504000*a*b^5*e^4 + 2906112*a*b^4*c^6*d + 134794240*a*b^4*c^4*e^2 - 
    1974328320*a*b^4*c^3*d^2*e + 632324096*a*b^4*c^2*d^4 - 16589568000*a*b^4*c*d*e^3 + 459571200*a*b^4*d^3*e^2 - 
    243712*a*b^3*c^8 + 309762048*a*b^3*c^5*d*e - 219638784*a*b^3*c^4*d^3 + 13411328000*a*b^3*c^3*e^3 + 
    14698086400*a*b^3*c^2*d^2*e^2 - 3451781120*a*b^3*c*d^4*e + 460324864*a*b^3*d^6 + 5417600000*a*b^3*d*e^4 + 
    8558592*a*b^2*c^7*e + 38263808*a*b^2*c^6*d^2 - 5104819200*a*b^2*c^4*d*e^2 - 191385600*a*b^2*c^3*d^3*e + 
    348504064*a*b^2*c^2*d^5 - 52224000000*a*b^2*c^2*e^4 + 5903360000*a*b^2*c*d^2*e^3 + 10205184000*a*b^2*d^4*e^2 - 
    4866048*a*b*c^8*d + 1130803200*a*b*c^6*e^2 - 1463590912*a*b*c^5*d^2*e + 212193280*a*b*c^4*d^4 + 40519680000*a*b*c^3*d*e^3
    - 9179136000*a*b*c^2*d^3*e^2 - 494796800*a*b*c*d^5*e + 39680000000*a*b*c*e^5 + 640679936*a*b*d^7 + 
    14348800000*a*b*d^2*e^4 + 221184*a*c^10 + 288350208*a*c^7*d*e - 60317696*a*c^6*d^3 + 4320256000*a*c^5*e^3 - 
    355840000*a*c^4*d^2*e^2 - 3785932800*a*c^3*d^4*e + 781746176*a*c^2*d^6 + 10252800000*a*c^2*d*e^4 + 
    25190400000*a*c*d^3*e^3 - 2428928000*a*d^5*e^2 - 6400000000*a*e^6 - 69120*b^11*d*e + 23040*b^10*c^2*e + 7680*b^10*c*d^2 -
    2560*b^9*c^3*d - 6526080*b^9*c*e^2 - 2426880*b^9*d^2*e + 5120640*b^8*c^2*d*e - 665600*b^8*c*d^3 - 47825280*b^8*e^3 - 
    958080*b^7*c^4*e + 133120*b^7*c^3*d^2 - 75715584*b^7*c*d*e^2 + 32768*b^7*d^3*e + 3200*b^6*c^5*d - 30049152*b^6*c^3*e^2 + 
    41069568*b^6*c^2*d^2*e - 13680640*b^6*c*d^4 + 352230400*b^6*d*e^3 + 12642816*b^5*c^4*d*e + 2007040*b^5*c^3*d^3 - 
    772761600*b^5*c^2*e^3 + 370728960*b^5*c*d^2*e^2 + 154664960*b^5*d^4*e - 4482048*b^4*c^6*e - 242688*b^4*c^5*d^2 - 
    612160000*b^4*c^3*d*e^2 - 587202560*b^4*c^2*d^3*e + 48037888*b^4*c*d^5 + 2798400000*b^4*c*e^4 + 1525760000*b^4*d^2*e^3 + 
    121856*b^3*c^7*d + 24913920*b^3*c^5*e^2 + 765680640*b^3*c^4*d^2*e - 116162560*b^3*c^3*d^4 + 2172160000*b^3*c^2*d*e^3 - 
    768000000*b^3*c*d^3*e^2 - 210370560*b^3*d^5*e - 2928000000*b^3*e^5 - 195922944*b^2*c^6*d*e + 30490624*b^2*c^5*d^3 - 
    3772800000*b^2*c^4*e^3 - 4040448000*b^2*c^3*d^2*e^2 + 1365196800*b^2*c^2*d^4*e - 137494528*b^2*c*d^6 + 
    10425600000*b^2*c*d*e^4 - 7116800000*b^2*d^3*e^3 + 13160448*b*c^8*e - 1069056*b*c^7*d^2 + 2476646400*b*c^5*d*e^2 + 
    102502400*b*c^4*d^3*e - 135266304*b*c^3*d^5 + 13900800000*b*c^3*e^4 - 9446400000*b*c^2*d^2*e^3 - 61440000*b*c*d^4*e^2 - 
    406323200*b*d^6*e - 4160000000*b*d*e^5 - 110592*c^9*d - 378777600*c^7*e^2 - 51978240*c^6*d^2*e + 32972800*c^5*d^4 - 
    11456000000*c^4*d*e^3 + 6282240000*c^3*d^3*e^2 + 277708800*c^2*d^5*e - 10560000000*c^2*e^5 - 254279680*c*d^7 - 
    17664000000*c*d^2*e^4 + 1536000000*d^4*e^3
;
M[4][5,1] :=
                                -M[4][1,5];
M[5][1,5] :=
-100663296*a^10*e^4 + 100663296*a^9*b*d*e^3 - 16777216*a^9*c^2*e^3 - 86507520*a^9*c*d^2*e^2 + 12386304*a^9*d^4*e - 
    12582912*a^8*b^2*c*e^3 - 5308416*a^8*b^2*d^2*e^2 + 99090432*a^8*b*c^2*d*e^2 + 18481152*a^8*b*c*d^3*e - 3096576*a^8*b*d^5 
    + 1258291200*a^8*b*e^4 + 41943040*a^8*c^4*e^2 - 59506688*a^8*c^3*d^2*e + 9879552*a^8*c^2*d^4 + 284164096*a^8*c*d*e^3 + 
    72351744*a^8*d^3*e^2 + 2359296*a^7*b^4*e^3 - 44630016*a^7*b^3*c*d*e^2 - 3735552*a^7*b^3*d^3*e - 87687168*a^7*b^2*c^3*e^2 
    + 28311552*a^7*b^2*c^2*d^2*e - 5849088*a^7*b^2*c*d^4 - 1301938176*a^7*b^2*d*e^3 + 38535168*a^7*b*c^4*d*e - 
    4882432*a^7*b*c^3*d^3 + 46661632*a^7*b*c^2*e^3 + 651558912*a^7*b*c*d^2*e^2 - 175521792*a^7*b*d^4*e - 7340032*a^7*c^6*e + 
    884736*a^7*c^5*d^2 - 271056896*a^7*c^3*d*e^2 + 267976704*a^7*c^2*d^3*e - 38780928*a^7*c*d^5 - 1365770240*a^7*c*e^4 - 
    272236544*a^7*d^2*e^3 + 6340608*a^6*b^5*d*e^2 + 54902784*a^6*b^4*c^2*e^2 - 3637248*a^6*b^4*c*d^2*e + 1330176*a^6*b^4*d^4 
    - 33357824*a^6*b^3*c^3*d*e + 5201920*a^6*b^3*c^2*d^3 + 235601920*a^6*b^3*c*e^3 + 180289536*a^6*b^3*d^2*e^2 + 
    6881280*a^6*b^2*c^5*e - 2813952*a^6*b^2*c^4*d^2 - 533790720*a^6*b^2*c^2*d*e^2 - 280756224*a^6*b^2*c*d^3*e + 
    51965952*a^6*b^2*d^5 - 5779292160*a^6*b^2*e^4 + 950272*a^6*b*c^6*d - 283901952*a^6*b*c^4*e^2 + 328630272*a^6*b*c^3*d^2*e 
    - 68837376*a^6*b*c^2*d^4 - 1203634176*a^6*b*c*d*e^3 - 519340032*a^6*b*d^3*e^2 - 131072*a^6*c^8 + 21430272*a^6*c^5*d*e - 
    606208*a^6*c^4*d^3 + 272891904*a^6*c^3*e^3 - 773685248*a^6*c^2*d^2*e^2 - 80953344*a^6*c*d^4*e + 28127232*a^6*d^6 + 
    917504000*a^6*d*e^4 - 14254080*a^5*b^6*c*e^2 - 73728*a^5*b^6*d^2*e + 10248192*a^5*b^5*c^2*d*e - 1910784*a^5*b^5*c*d^3 - 
    39469056*a^5*b^5*e^3 - 2281472*a^5*b^4*c^4*e + 2244608*a^5*b^4*c^3*d^2 + 208551936*a^5*b^4*c*d*e^2 + 
    38277120*a^5*b^4*d^3*e - 1060864*a^5*b^3*c^5*d + 628621312*a^5*b^3*c^3*e^2 - 99704832*a^5*b^3*c^2*d^2*e + 
    31569920*a^5*b^3*c*d^4 + 6024658944*a^5*b^3*d*e^3 + 155648*a^5*b^2*c^7 - 302112768*a^5*b^2*c^4*d*e + 
    50028544*a^5*b^2*c^3*d^3 - 210239488*a^5*b^2*c^2*e^3 - 1429438464*a^5*b^2*c*d^2*e^2 + 928100352*a^5*b^2*d^4*e + 
    53510144*a^5*b*c^6*e - 12189696*a^5*b*c^5*d^2 + 2940764160*a^5*b*c^3*d*e^2 - 1796046848*a^5*b*c^2*d^3*e + 
    275189760*a^5*b*c*d^5 + 11491737600*a^5*b*c*e^4 + 1464565760*a^5*b*d^2*e^3 + 589824*a^5*c^7*d + 253853696*a^5*c^5*e^2 - 
    436371456*a^5*c^4*d^2*e + 70336512*a^5*c^3*d^4 + 1793392640*a^5*c^2*d*e^3 + 1796505600*a^5*c*d^3*e^2 - 
    141008896*a^5*d^5*e - 2088960000*a^5*e^5 + 1336320*a^4*b^8*e^2 - 1167360*a^4*b^7*c*d*e + 207360*a^4*b^7*d^3 + 
    286720*a^4*b^6*c^3*e - 791040*a^4*b^6*c^2*d^2 - 29061120*a^4*b^6*d*e^2 + 460800*a^4*b^5*c^4*d - 386088960*a^4*b^5*c^2*e^2
    + 3028992*a^4*b^5*c*d^2*e - 8644608*a^4*b^5*d^4 - 71680*a^4*b^4*c^6 + 235479040*a^4*b^4*c^3*d*e - 
    47448064*a^4*b^4*c^2*d^3 - 1115996160*a^4*b^4*c*e^3 - 1199646720*a^4*b^4*d^2*e^2 - 47116288*a^4*b^3*c^5*e + 
    22433792*a^4*b^3*c^4*d^2 - 342056960*a^4*b^3*c^2*d*e^2 + 1219420160*a^4*b^3*c*d^3*e - 276054016*a^4*b^3*d^5 + 
    11575296000*a^4*b^3*e^4 - 5705728*a^4*b^2*c^6*d - 146534400*a^4*b^2*c^4*e^2 + 34037760*a^4*b^2*c^3*d^2*e + 
    59530240*a^4*b^2*c^2*d^4 - 3309568000*a^4*b^2*c*d*e^3 + 724623360*a^4*b^2*d^3*e^2 + 688128*a^4*b*c^8 + 
    148717568*a^4*b*c^5*d*e - 27033600*a^4*b*c^4*d^3 - 2943385600*a^4*b*c^3*e^3 + 1762836480*a^4*b*c^2*d^2*e^2 + 
    61419520*a^4*b*c*d^4*e - 175702016*a^4*b*d^6 - 4270080000*a^4*b*d*e^4 - 55377920*a^4*c^7*e + 7053312*a^4*c^6*d^2 - 
    2291875840*a^4*c^4*d*e^2 + 2479226880*a^4*c^3*d^3*e - 371859456*a^4*c^2*d^5 - 4556800000*a^4*c^2*e^4 - 
    6639616000*a^4*c*d^2*e^3 - 359116800*a^4*d^4*e^2 + 23040*a^3*b^9*d*e - 7680*a^3*b^8*c^2*e + 145920*a^3*b^8*c*d^2 - 
    94720*a^3*b^7*c^3*d + 97536000*a^3*b^7*c*e^2 + 1817088*a^3*b^7*d^2*e + 15360*a^3*b^6*c^5 - 67310592*a^3*b^6*c^2*d*e + 
    16607744*a^3*b^6*c*d^3 + 180613120*a^3*b^6*e^3 + 14641152*a^3*b^5*c^4*e - 13805568*a^3*b^5*c^3*d^2 + 
    249255936*a^3*b^5*c*d*e^2 - 110794752*a^3*b^5*d^3*e + 5412864*a^3*b^4*c^5*d - 829562880*a^3*b^4*c^3*e^2 - 
    277882880*a^3*b^4*c^2*d^2*e + 24668160*a^3*b^4*c*d^4 - 11686809600*a^3*b^4*d*e^3 - 749568*a^3*b^3*c^7 + 
    456581120*a^3*b^3*c^4*d*e - 119715840*a^3*b^3*c^3*d^3 + 3197132800*a^3*b^3*c^2*e^3 + 2561658880*a^3*b^3*c*d^2*e^2 - 
    2069667840*a^3*b^3*d^4*e - 59031552*a^3*b^2*c^6*e + 23908352*a^3*b^2*c^5*d^2 - 5529722880*a^3*b^2*c^3*d*e^2 + 
    2321387520*a^3*b^2*c^2*d^3*e - 325197824*a^3*b^2*c*d^5 - 31426560000*a^3*b^2*c*e^4 + 48128000*a^3*b^2*d^2*e^3 + 
    3104768*a^3*b*c^7*d - 440647680*a^3*b*c^5*e^2 + 154419200*a^3*b*c^4*d^2*e - 129761280*a^3*b*c^3*d^4 - 
    12288000*a^3*b*c^2*d*e^3 - 5530214400*a^3*b*c*d^3*e^2 + 1060864000*a^3*b*d^5*e + 13056000000*a^3*b*e^5 - 851968*a^3*c^9 +
    220545024*a^3*c^6*d*e - 13172736*a^3*c^5*d^3 + 3129344000*a^3*c^4*e^3 + 413696000*a^3*c^3*d^2*e^2 - 
    3478487040*a^3*c^2*d^4*e + 549289984*a^3*c*d^6 + 8652800000*a^3*c*d*e^4 + 3819520000*a^3*d^3*e^3 - 11520*a^2*b^10*d^2 + 
    7680*a^2*b^9*c^2*d - 8870400*a^2*b^9*e^2 - 1280*a^2*b^8*c^4 + 7027200*a^2*b^8*c*d*e - 1743360*a^2*b^8*d^3 - 
    1671680*a^2*b^7*c^3*e + 3847680*a^2*b^7*c^2*d^2 - 25299456*a^2*b^7*d*e^2 - 2076160*a^2*b^6*c^4*d + 
    612055552*a^2*b^6*c^2*e^2 + 73873920*a^2*b^6*c*d^2*e + 8736768*a^2*b^6*d^4 + 317440*a^2*b^5*c^6 - 
    370894848*a^2*b^5*c^3*d*e + 105347072*a^2*b^5*c^2*d^3 + 1325537280*a^2*b^5*c*e^3 + 2568419328*a^2*b^5*d^2*e^2 + 
    68233216*a^2*b^4*c^5*e - 34099200*a^2*b^4*c^4*d^2 + 2298163200*a^2*b^4*c^2*d*e^2 - 1680168960*a^2*b^4*c*d^3*e + 
    535396352*a^2*b^4*d^5 - 8576640000*a^2*b^4*e^4 + 1026048*a^2*b^3*c^6*d + 1716654080*a^2*b^3*c^4*e^2 - 
    450222080*a^2*b^3*c^3*d^2*e + 75653120*a^2*b^3*c^2*d^4 + 15981568000*a^2*b^3*c*d*e^3 + 162816000*a^2*b^3*d^3*e^2 + 
    378880*a^2*b^2*c^8 - 835067904*a^2*b^2*c^5*d*e + 202741760*a^2*b^2*c^4*d^3 + 2667520000*a^2*b^2*c^3*e^3 - 
    720230400*a^2*b^2*c^2*d^2*e^2 + 2511790080*a^2*b^2*c*d^4*e + 100663296*a^2*b^2*d^6 - 729600000*a^2*b^2*d*e^4 + 
    166617088*a^2*b*c^7*e - 70643712*a^2*b*c^6*d^2 + 8698675200*a^2*b*c^4*d*e^2 - 5646008320*a^2*b*c^3*d^3*e + 
    1081049088*a^2*b*c^2*d^5 + 18457600000*a^2*b*c^2*e^4 + 18816000000*a^2*b*c*d^2*e^3 - 1069056000*a^2*b*d^4*e^2 + 
    5357568*a^2*c^8*d - 242769920*a^2*c^6*e^2 - 477315072*a^2*c^5*d^2*e + 37908480*a^2*c^4*d^4 - 8847360000*a^2*c^3*d*e^3 + 
    8665088000*a^2*c^2*d^3*e^2 + 950108160*a^2*c*d^5*e - 14592000000*a^2*c*e^5 - 278790144*a^2*d^7 - 4595200000*a^2*d^2*e^4 -
    92160*a*b^10*d*e + 30720*a*b^9*c^2*e - 606720*a*b^9*c*d^2 + 394240*a*b^8*c^3*d - 158899200*a*b^8*c*e^2 - 
    6196224*a*b^8*d^2*e - 64000*a*b^7*c^5 + 101003776*a*b^7*c^2*d*e - 36605952*a*b^7*c*d^3 - 238778880*a*b^7*e^3 - 
    20888576*a*b^6*c^4*e + 14795264*a*b^6*c^3*d^2 - 1324087808*a*b^6*c*d*e^2 + 65232896*a*b^6*d^3*e - 1574912*a*b^5*c^5*d - 
    637636608*a*b^5*c^3*e^2 + 685246464*a*b^5*c^2*d^2*e - 224886784*a*b^5*c*d^4 + 8083200000*a*b^5*d*e^3 + 6144*a*b^4*c^7 + 
    252805120*a*b^4*c^4*d*e - 49510400*a*b^4*c^3*d^3 - 6495488000*a*b^4*c^2*e^3 - 5189068800*a*b^4*c*d^2*e^2 + 
    1449000960*a*b^4*d^4*e - 78612480*a*b^3*c^6*e + 44298240*a*b^3*c^5*d^2 - 2213324800*a*b^3*c^3*d*e^2 - 
    221716480*a*b^3*c^2*d^3*e - 444006400*a*b^3*c*d^5 + 30176000000*a*b^3*c*e^4 - 4520960000*a*b^3*d^2*e^3 - 
    7399424*a*b^2*c^7*d - 802222080*a*b^2*c^5*e^2 + 2665267200*a*b^2*c^4*d^2*e - 459120640*a*b^2*c^3*d^4 - 
    8660480000*a*b^2*c^2*d*e^3 - 2116608000*a*b^2*c*d^3*e^2 - 2078146560*a*b^2*d^5*e - 19008000000*a*b^2*e^5 + 516096*a*b*c^9
    - 228343808*a*b*c^6*d*e + 92909568*a*b*c^5*d^3 - 7311360000*a*b*c^4*e^3 - 7913472000*a*b*c^3*d^2*e^2 + 
    6336512000*a*b*c^2*d^4*e - 1321598976*a*b*c*d^6 - 9612800000*a*b*c*d*e^4 - 9728000000*a*b*d^3*e^3 - 47628288*a*c^8*e + 
    3121152*a*c^7*d^2 - 112640000*a*c^5*d*e^2 + 1280614400*a*c^4*d^3*e - 196509696*a*c^3*d^5 + 7219200000*a*c^3*e^4 - 
    5836800000*a*c^2*d^2*e^3 - 6369280000*a*c*d^4*e^2 + 753664000*a*d^6*e + 9600000000*a*d*e^5 + 46080*b^11*d^2 - 
    30720*b^10*c^2*d + 14135040*b^10*e^2 + 5120*b^9*c^4 - 9269760*b^9*c*d*e + 3706880*b^9*d^3 + 2042880*b^8*c^3*e - 
    1656320*b^8*c^2*d^2 + 154424832*b^8*d*e^2 + 217600*b^7*c^4*d + 80941056*b^7*c^2*e^2 - 92622848*b^7*c*d^2*e + 
    18644992*b^7*d^4 - 6400*b^6*c^6 - 32934400*b^6*c^3*d*e + 21082112*b^6*c^2*d^3 + 397964800*b^6*c*e^3 - 
    1431941120*b^6*d^2*e^2 + 11354112*b^5*c^5*e - 13961216*b^5*c^4*d^2 + 1859051520*b^5*c^2*d*e^2 + 845905920*b^5*c*d^3*e - 
    273547264*b^5*d^5 - 238080000*b^5*e^4 + 2909184*b^4*c^6*d - 44160000*b^4*c^4*e^2 - 1357752320*b^4*c^3*d^2*e + 
    502333440*b^4*c^2*d^4 - 13154560000*b^4*c*d*e^3 + 1142784000*b^4*d^3*e^2 - 243712*b^3*c^8 + 283686912*b^3*c^5*d*e - 
    201113600*b^3*c^4*d^3 + 6531840000*b^3*c^3*e^3 + 9758720000*b^3*c^2*d^2*e^2 - 3176857600*b^3*c*d^4*e + 419692544*b^3*d^6 
    + 10931200000*b^3*d*e^4 - 8300544*b^2*c^7*e + 38972416*b^2*c^6*d^2 - 3963648000*b^2*c^4*d*e^2 + 778444800*b^2*c^3*d^3*e +
    60096512*b^2*c^2*d^5 - 28790400000*b^2*c^2*e^4 - 7040000000*b^2*c*d^2*e^3 + 7372800000*b^2*d^4*e^2 - 4608000*b*c^8*d + 
    663244800*b*c^6*e^2 - 671313920*b*c^5*d^2*e + 76349440*b*c^4*d^4 + 20736000000*b*c^3*d*e^3 - 4546560000*b*c^2*d^3*e^2 - 
    1451622400*b*c*d^5*e + 31680000000*b*c*e^5 + 508559360*b*d^7 - 512000000*b*d^2*e^4 + 221184*c^10 + 119070720*c^7*d*e - 
    22446080*c^6*d^3 - 327680000*c^5*e^3 + 386560000*c^4*d^2*e^2 - 897024000*c^3*d^4*e + 156631040*c^2*d^6 - 
    18048000000*c^2*d*e^4 + 16896000000*c*d^3*e^3 - 1884160000*d^5*e^2 - 8000000000*e^6
;
M[5][5,1] :=
                                -M[5][1,5];
M[1][2,3] :=
1048576*a^10*e^4 - 1048576*a^9*b*d*e^3 - 786432*a^9*c^2*e^3 + 589824*a^9*c*d^2*e^2 - 110592*a^9*d^4*e + 851968*a^8*b^2*c*e^3 
    + 172032*a^8*b^2*d^2*e^2 - 73728*a^8*b*c*d^3*e + 27648*a^8*b*d^5 - 13893632*a^8*b*e^4 + 196608*a^8*c^4*e^2 - 
    163840*a^8*c^3*d^2*e + 27648*a^8*c^2*d^4 + 8781824*a^8*c*d*e^3 - 1474560*a^8*d^3*e^2 - 159744*a^7*b^4*e^3 - 
    270336*a^7*b^3*c*d*e^2 - 10240*a^7*b^3*d^3*e - 294912*a^7*b^2*c^3*e^2 + 239616*a^7*b^2*c^2*d^2*e - 46080*a^7*b^2*c*d^4 + 
    9994240*a^7*b^2*d*e^3 + 65536*a^7*b*c^4*d*e - 14336*a^7*b*c^3*d^3 + 7012352*a^7*b*c^2*e^3 - 11526144*a^7*b*c*d^2*e^2 + 
    1981440*a^7*b*d^4*e - 16384*a^7*c^6*e + 4096*a^7*c^5*d^2 - 3538944*a^7*c^3*d*e^2 + 3477504*a^7*c^2*d^3*e - 
    608256*a^7*c*d^5 + 9764864*a^7*c*e^4 + 630784*a^7*d^2*e^3 + 64512*a^6*b^5*d*e^2 + 199680*a^6*b^4*c^2*e^2 - 
    52224*a^6*b^4*c*d^2*e + 9280*a^6*b^4*d^4 - 96256*a^6*b^3*c^3*d*e + 21504*a^6*b^3*c^2*d^3 - 8609792*a^6*b^3*c*e^3 - 
    276480*a^6*b^3*d^2*e^2 + 20480*a^6*b^2*c^5*e - 5120*a^6*b^2*c^4*d^2 + 6451200*a^6*b^2*c^2*d*e^2 - 1265664*a^6*b^2*c*d^3*e
    - 147456*a^6*b^2*d^5 + 67821568*a^6*b^2*e^4 - 1294336*a^6*b*c^4*e^2 - 690176*a^6*b*c^3*d^2*e + 181248*a^6*b*c^2*d^4 - 
    102391808*a^6*b*c*d*e^3 + 14456832*a^6*b*d^3*e^2 + 319488*a^6*c^5*d*e - 56320*a^6*c^4*d^3 - 2064384*a^6*c^3*e^3 + 
    13756416*a^6*c^2*d^2*e^2 - 4804608*a^6*c*d^4*e + 82944*a^6*d^6 - 23920640*a^6*d*e^4 - 55296*a^5*b^6*c*e^2 + 
    1152*a^5*b^6*d^2*e + 33792*a^5*b^5*c^2*d*e - 7552*a^5*b^5*c*d^3 + 1625088*a^5*b^5*e^3 - 7168*a^5*b^4*c^4*e + 
    1792*a^5*b^4*c^3*d^2 + 122880*a^5*b^4*c*d*e^2 + 307712*a^5*b^4*d^3*e + 1673216*a^5*b^3*c^3*e^2 - 887808*a^5*b^3*c^2*d^2*e
    + 291328*a^5*b^3*c*d^4 - 27023360*a^5*b^3*d*e^3 - 513024*a^5*b^2*c^4*d*e + 107520*a^5*b^2*c^3*d^3 - 
    12613632*a^5*b^2*c^2*e^3 + 70686720*a^5*b^2*c*d^2*e^2 - 10295808*a^5*b^2*d^4*e + 102400*a^5*b*c^6*e - 49152*a^5*b*c^5*d^2
    + 22124544*a^5*b*c^3*d*e^2 - 30332928*a^5*b*c^2*d^3*e + 6537216*a^5*b*c*d^5 - 83927040*a^5*b*c*e^4 + 
    31709184*a^5*b*d^2*e^3 + 4096*a^5*c^7*d - 634880*a^5*c^5*e^2 + 1596416*a^5*c^4*d^2*e - 534528*a^5*c^3*d^4 + 
    97783808*a^5*c^2*d*e^3 - 41496576*a^5*c*d^3*e^2 + 7794688*a^5*d^5*e + 23040000*a^5*e^5 + 5184*a^4*b^8*e^2 - 
    3456*a^4*b^7*c*d*e + 768*a^4*b^7*d^3 + 768*a^4*b^6*c^3*e - 192*a^4*b^6*c^2*d^2 - 327168*a^4*b^6*d*e^2 - 
    1265664*a^4*b^5*c^2*e^2 + 252288*a^4*b^5*c*d^2*e - 75136*a^4*b^5*d^4 + 700928*a^4*b^4*c^3*d*e - 201536*a^4*b^4*c^2*d^3 + 
    27182080*a^4*b^4*c*e^3 - 7632768*a^4*b^4*d^2*e^2 - 150528*a^4*b^3*c^5*e + 70656*a^4*b^3*c^4*d^2 - 
    51207168*a^4*b^3*c^2*d*e^2 + 13401088*a^4*b^3*c*d^3*e - 547840*a^4*b^3*d^5 - 145459200*a^4*b^3*e^4 - 5120*a^4*b^2*c^6*d +
    4001792*a^4*b^2*c^4*e^2 + 14093312*a^4*b^2*c^3*d^2*e - 3677184*a^4*b^2*c^2*d^4 + 348917760*a^4*b^2*c*d*e^3 - 
    56586240*a^4*b^2*d^3*e^2 - 3751936*a^4*b*c^5*d*e + 1019904*a^4*b*c^4*d^3 - 4249600*a^4*b*c^3*e^3 - 
    130498560*a^4*b*c^2*d^2*e^2 + 45544448*a^4*b*c*d^4*e - 3635200*a^4*b*d^6 + 140672000*a^4*b*d*e^4 + 135168*a^4*c^7*e - 
    56320*a^4*c^6*d^2 - 24601600*a^4*c^4*d*e^2 + 25858048*a^4*c^3*d^3*e - 4486144*a^4*c^2*d^5 - 12416000*a^4*c^2*e^4 - 
    55296000*a^4*c*d^2*e^3 + 8079360*a^4*d^4*e^2 + 376704*a^3*b^7*c*e^2 - 2880*a^3*b^7*d^2*e - 251328*a^3*b^6*c^2*d*e + 
    75008*a^3*b^6*c*d^3 - 5337216*a^3*b^6*e^3 + 55040*a^3*b^5*c^4*e - 25344*a^3*b^5*c^3*d^2 + 11660160*a^3*b^5*c*d*e^2 - 
    1703680*a^3*b^5*d^3*e + 1792*a^3*b^4*c^5*d - 1899776*a^3*b^4*c^3*e^2 - 4092864*a^3*b^4*c^2*d^2*e + 382976*a^3*b^4*c*d^4 +
    8960000*a^3*b^4*d*e^3 + 1676288*a^3*b^3*c^4*d*e - 316416*a^3*b^3*c^3*d^3 - 19880960*a^3*b^3*c^2*e^3 - 
    140820480*a^3*b^3*c*d^2*e^2 + 18502656*a^3*b^3*d^4*e - 124928*a^3*b^2*c^6*e + 107520*a^3*b^2*c^5*d^2 + 
    21969920*a^3*b^2*c^3*d*e^2 + 55676416*a^3*b^2*c^2*d^3*e - 17231872*a^3*b^2*c*d^5 + 250240000*a^3*b^2*c*e^4 - 
    187059200*a^3*b^2*d^2*e^3 - 14336*a^3*b*c^7*d + 5033984*a^3*b*c^5*e^2 - 24669184*a^3*b*c^4*d^2*e + 6053888*a^3*b*c^3*d^4 
    - 592742400*a^3*b*c^2*d*e^3 + 290437120*a^3*b*c*d^3*e^2 - 52989952*a^3*b*d^5*e - 156800000*a^3*b*e^5 + 
    2776064*a^3*c^6*d*e - 534528*a^3*c^5*d^3 + 37401600*a^3*c^4*e^3 + 90685440*a^3*c^3*d^2*e^2 - 58997760*a^3*c^2*d^4*e + 
    6356992*a^3*c*d^6 + 8960000*a^3*c*d*e^4 - 29696000*a^3*d^3*e^3 - 36288*a^2*b^9*e^2 + 25920*a^2*b^8*c*d*e - 
    7680*a^2*b^8*d^3 - 5952*a^2*b^7*c^3*e + 2688*a^2*b^7*c^2*d^2 - 349056*a^2*b^7*d*e^2 - 192*a^2*b^6*c^4*d + 
    1708800*a^2*b^6*c^2*e^2 + 230976*a^2*b^6*c*d^2*e + 88064*a^2*b^6*d^4 - 1270016*a^2*b^5*c^3*d*e + 463104*a^2*b^5*c^2*d^3 -
    24728448*a^2*b^5*c*e^3 + 28129536*a^2*b^5*d^2*e^2 + 258816*a^2*b^4*c^5*e - 201536*a^2*b^4*c^4*d^2 + 
    89785920*a^2*b^4*c^2*d*e^2 - 29632256*a^2*b^4*c*d^3*e + 3153920*a^2*b^4*d^5 + 116424000*a^2*b^4*e^4 + 21504*a^2*b^3*c^6*d
    - 14791680*a^2*b^3*c^4*e^2 - 28056576*a^2*b^3*c^3*d^2*e + 10006528*a^2*b^3*c^2*d^4 - 292684800*a^2*b^3*c*d*e^3 + 
    88944640*a^2*b^3*d^3*e^2 + 11120640*a^2*b^2*c^5*d*e - 3677184*a^2*b^2*c^4*d^3 + 41702400*a^2*b^2*c^3*e^3 + 
    276518400*a^2*b^2*c^2*d^2*e^2 - 96384000*a^2*b^2*c*d^4*e + 16023552*a^2*b^2*d^6 - 194560000*a^2*b^2*d*e^4 - 
    912384*a^2*b*c^7*e + 181248*a^2*b*c^6*d^2 + 40719360*a^2*b*c^4*d*e^2 - 85473280*a^2*b*c^3*d^3*e + 21663744*a^2*b*c^2*d^5 
    + 55680000*a^2*b*c^2*e^4 + 439808000*a^2*b*c*d^2*e^3 - 19968000*a^2*b*d^4*e^2 + 27648*a^2*c^8*d - 14128128*a^2*c^6*e^2 + 
    16020480*a^2*c^5*d^2*e - 4486144*a^2*c^4*d^4 + 130560000*a^2*c^3*d*e^3 - 224435200*a^2*c^2*d^3*e^2 + 77492224*a^2*c*d^5*e
    + 115200000*a^2*c*e^5 - 786432*a^2*d^7 + 105600000*a^2*d^2*e^4 - 611712*a*b^8*c*e^2 - 6912*a*b^8*d^2*e + 
    461184*a*b^7*c^2*d*e - 182272*a*b^7*c*d^3 + 5586624*a*b^7*e^3 - 105088*a*b^6*c^4*e + 75008*a*b^6*c^3*d^2 - 
    30737280*a*b^6*c*d*e^2 + 2519040*a*b^6*d^3*e - 7552*a*b^5*c^5*d + 2817024*a*b^5*c^3*e^2 + 14595072*a*b^5*c^2*d^2*e - 
    3416064*a*b^5*c*d^4 + 25831680*a*b^5*d*e^3 - 3723968*a*b^4*c^4*d*e + 382976*a*b^4*c^3*d^3 + 37752000*a*b^4*c^2*e^3 + 
    21788160*a*b^4*c*d^2*e^2 - 8888320*a*b^4*d^4*e + 89088*a*b^3*c^6*e + 291328*a*b^3*c^5*d^2 - 171678720*a*b^3*c^3*d*e^2 + 
    27514880*a*b^3*c^2*d^3*e - 98304*a*b^3*c*d^5 - 288320000*a*b^3*c*e^4 + 192640000*a*b^3*d^2*e^3 - 46080*a*b^2*c^7*d + 
    27546624*a*b^2*c^5*e^2 + 56355840*a*b^2*c^4*d^2*e - 17231872*a*b^2*c^3*d^4 + 718528000*a*b^2*c^2*d*e^3 - 
    570214400*a*b^2*c*d^3*e^2 + 73596928*a*b^2*d^5*e + 254400000*a*b^2*e^5 - 20560896*a*b*c^6*d*e + 6537216*a*b*c^5*d^3 - 
    133632000*a*b*c^4*e^3 - 210124800*a*b*c^3*d^2*e^2 + 221839360*a*b*c^2*d^4*e - 50724864*a*b*c*d^6 - 428800000*a*b*c*d*e^4 
    - 125440000*a*b*d^3*e^3 + 1658880*a*c^8*e - 608256*a*c^7*d^2 + 31610880*a*c^5*d*e^2 - 21888000*a*c^4*d^3*e + 
    6356992*a*c^3*d^5 - 96000000*a*c^3*e^4 + 7040000*a*c^2*d^2*e^3 + 136192000*a*c*d^4*e^2 - 59965440*a*d^6*e - 
    192000000*a*d*e^5 + 62208*b^10*e^2 - 48384*b^9*c*d*e + 18432*b^9*d^3 + 11520*b^8*c^3*e - 7680*b^8*c^2*d^2 + 
    2481408*b^8*d*e^2 + 768*b^7*c^4*d + 53568*b^7*c^2*e^2 - 1560576*b^7*c*d^2*e + 262144*b^7*d^4 + 223552*b^6*c^3*d*e + 
    88064*b^6*c^2*d^3 - 3913920*b^6*c*e^3 - 17246208*b^6*d^2*e^2 + 32704*b^5*c^5*e - 75136*b^5*c^4*d^2 + 
    31709184*b^5*c^2*d*e^2 + 7200768*b^5*c*d^3*e - 1245184*b^5*d^5 + 3600000*b^5*e^4 + 9280*b^4*c^6*d - 4000960*b^4*c^4*e^2 -
    17427200*b^4*c^3*d^2*e + 3153920*b^4*c^2*d^4 - 103392000*b^4*c*d*e^3 + 6553600*b^4*d^3*e^2 + 4906496*b^3*c^5*d*e - 
    547840*b^3*c^4*d^3 + 6144000*b^3*c^3*e^3 + 72422400*b^3*c^2*d^2*e^2 + 8192000*b^3*c*d^4*e - 7340032*b^3*d^6 + 
    80000000*b^3*d*e^4 - 304128*b^2*c^7*e - 147456*b^2*c^6*d^2 + 25152000*b^2*c^4*d*e^2 - 50652160*b^2*c^3*d^3*e + 
    16023552*b^2*c^2*d^5 + 123200000*b^2*c^2*e^4 - 225920000*b^2*c*d^2*e^3 + 77824000*b^2*d^4*e^2 + 27648*b*c^8*d - 
    5253120*b*c^6*e^2 + 7206912*b*c^5*d^2*e - 3635200*b*c^4*d^4 - 267520000*b*c^3*d*e^3 + 363520000*b*c^2*d^3*e^2 - 
    161546240*b*c*d^5*e - 272000000*b*c*e^5 + 27787264*b*d^7 + 339200000*b*d^2*e^4 + 635904*c^7*d*e + 82944*c^6*d^3 + 
    51840000*c^5*e^3 - 26496000*c^4*d^2*e^2 + 716800*c^3*d^4*e - 786432*c^2*d^6 + 486400000*c^2*d*e^4 - 473600000*c*d^3*e^3 +
    122880000*d^5*e^2
;
M[1][3,2] :=
                                -M[1][2,3];
M[2][2,3] :=
-3145728*a^9*e^4 + 3538944*a^8*b*d*e^3 + 10223616*a^8*c^2*e^3 - 2064384*a^8*c*d^2*e^2 - 7176192*a^7*b^2*c*e^3 - 
    1032192*a^7*b^2*d^2*e^2 - 5308416*a^7*b*c^2*d*e^2 + 589824*a^7*b*c*d^3*e + 82944*a^7*b*d^5 + 16121856*a^7*b*e^4 - 
    4390912*a^7*c^4*e^2 + 4472832*a^7*c^3*d^2*e - 774144*a^7*c^2*d^4 - 16711680*a^7*c*d*e^3 + 737280*a^7*d^3*e^2 + 
    1081344*a^6*b^4*e^3 + 4276224*a^6*b^3*c*d*e^2 + 215040*a^6*b^3*d^3*e + 7127040*a^6*b^2*c^3*e^2 - 
    3170304*a^6*b^2*c^2*d^2*e + 230400*a^6*b^2*c*d^4 - 10371072*a^6*b^2*d*e^3 - 2367488*a^6*b*c^4*d*e + 442368*a^6*b*c^3*d^3 
    - 78839808*a^6*b*c^2*e^3 + 24182784*a^6*b*c*d^2*e^2 + 1483776*a^6*b*d^4*e + 475136*a^6*c^6*e - 71680*a^6*c^5*d^2 + 
    13467648*a^6*c^3*d*e^2 - 10543104*a^6*c^2*d^3*e + 1050624*a^6*c*d^5 - 41779200*a^6*c*e^4 + 53231616*a^6*d^2*e^3 - 
    672768*a^5*b^5*d*e^2 - 4018176*a^5*b^4*c^2*e^2 + 244224*a^5*b^4*c*d^2*e - 42624*a^5*b^4*d^4 + 1966080*a^5*b^3*c^3*d*e - 
    168960*a^5*b^3*c^2*d^3 + 46891008*a^5*b^3*c*e^3 + 571392*a^5*b^3*d^2*e^2 - 374784*a^5*b^2*c^5*e + 89088*a^5*b^2*c^4*d^2 +
    23076864*a^5*b^2*c^2*d*e^2 - 147456*a^5*b^2*c*d^3*e - 1681920*a^5*b^2*d^5 + 37355520*a^5*b^2*e^4 - 49152*a^5*b*c^6*d + 
    27910144*a^5*b*c^4*e^2 - 26550272*a^5*b*c^3*d^2*e + 6248448*a^5*b*c^2*d^4 + 97419264*a^5*b*c*d*e^3 - 
    48347136*a^5*b*d^3*e^2 + 8192*a^5*c^8 - 307200*a^5*c^5*d*e - 289792*a^5*c^4*d^3 + 116637696*a^5*c^3*e^3 - 
    64929792*a^5*c^2*d^2*e^2 + 32993280*a^5*c*d^4*e - 4257792*a^5*d^6 - 39731200*a^5*d*e^4 + 916992*a^4*b^6*c*e^2 + 
    50688*a^4*b^6*d^2*e - 400896*a^4*b^5*c^2*d*e + 53376*a^4*b^5*c*d^3 - 5919744*a^4*b^5*e^3 + 65536*a^4*b^4*c^4*e - 
    122496*a^4*b^4*c^3*d^2 - 19952640*a^4*b^4*c*d*e^2 - 1443072*a^4*b^4*d^3*e + 68608*a^4*b^3*c^5*d - 
    42958848*a^4*b^3*c^3*e^2 + 17150976*a^4*b^3*c^2*d^2*e - 729600*a^4*b^3*c*d^4 - 67307520*a^4*b^3*d*e^3 - 10240*a^4*b^2*c^7
    + 15387648*a^4*b^2*c^4*d*e - 4194304*a^4*b^2*c^3*d^3 + 105676800*a^4*b^2*c^2*e^3 + 1566720*a^4*b^2*c*d^2*e^2 - 
    11902464*a^4*b^2*d^4*e - 3104768*a^4*b*c^6*e + 985088*a^4*b*c^5*d^2 - 101089280*a^4*b*c^3*d*e^2 + 
    23169024*a^4*b*c^2*d^3*e + 580608*a^4*b*c*d^5 + 110592000*a^4*b*c*e^4 - 306944000*a^4*b*d^2*e^3 - 45056*a^4*c^7*d - 
    44939264*a^4*c^5*e^2 + 47178752*a^4*c^4*d^2*e - 8151040*a^4*c^3*d^4 - 197222400*a^4*c^2*d*e^3 + 23080960*a^4*c*d^3*e^2 - 
    933888*a^4*d^5*e - 51200000*a^4*e^5 - 72576*a^3*b^8*e^2 - 5760*a^3*b^7*c*d*e - 8256*a^3*b^7*d^3 + 6528*a^3*b^6*c^3*e + 
    42048*a^3*b^6*c^2*d^2 + 2651904*a^3*b^6*d*e^2 - 24064*a^3*b^5*c^4*d + 21920256*a^3*b^5*c^2*e^2 - 869760*a^3*b^5*c*d^2*e +
    56064*a^3*b^5*d^4 + 3584*a^3*b^4*c^6 - 11437312*a^3*b^4*c^3*d*e + 1354560*a^3*b^4*c^2*d^3 - 52293120*a^3*b^4*c*e^3 + 
    14353920*a^3*b^4*d^2*e^2 + 2234368*a^3*b^3*c^5*e - 420864*a^3*b^3*c^4*d^2 - 12764160*a^3*b^3*c^2*d*e^2 - 
    5655552*a^3*b^3*c*d^3*e + 6312960*a^3*b^3*d^5 - 295680000*a^3*b^3*e^4 + 159744*a^3*b^2*c^6*d + 21985280*a^3*b^2*c^4*e^2 +
    27155456*a^3*b^2*c^3*d^2*e - 15622656*a^3*b^2*c^2*d^4 + 162406400*a^3*b^2*c*d*e^3 + 245744640*a^3*b^2*d^3*e^2 - 
    28672*a^3*b*c^8 - 24713216*a^3*b*c^5*d*e + 6724608*a^3*b*c^4*d^3 - 488038400*a^3*b*c^3*e^3 + 382740480*a^3*b*c^2*d^2*e^2 
    - 163194880*a^3*b*c*d^4*e + 21565440*a^3*b*d^6 + 499840000*a^3*b*d*e^4 + 4605952*a^3*c^7*e - 832512*a^3*c^6*d^2 + 
    145792000*a^3*c^4*d*e^2 - 115343360*a^3*c^3*d^3*e + 14218240*a^3*c^2*d^5 - 7680000*a^3*c^2*e^4 + 510976000*a^3*c*d^2*e^3 
    - 7372800*a^3*d^4*e^2 + 5184*a^2*b^9*d*e - 1728*a^2*b^8*c^2*e - 4032*a^2*b^8*c*d^2 + 2496*a^2*b^7*c^3*d - 
    4369536*a^2*b^7*c*e^2 - 269568*a^2*b^7*d^2*e - 384*a^2*b^6*c^5 + 2054592*a^2*b^6*c^2*d*e - 264384*a^2*b^6*c*d^3 + 
    2181888*a^2*b^6*e^3 - 354304*a^2*b^5*c^4*e + 510208*a^2*b^5*c^3*d^2 + 14256000*a^2*b^5*c*d*e^2 + 2264064*a^2*b^5*d^3*e - 
    284416*a^2*b^4*c^5*d + 29915520*a^2*b^4*c^3*e^2 - 20222400*a^2*b^4*c^2*d^2*e - 630528*a^2*b^4*c*d^4 + 
    238675200*a^2*b^4*d*e^3 + 43008*a^2*b^3*c^7 - 9439232*a^2*b^3*c^4*d*e + 9250816*a^2*b^3*c^3*d^3 + 
    95769600*a^2*b^3*c^2*e^3 - 448972800*a^2*b^3*c*d^2*e^2 + 24064000*a^2*b^3*d^4*e + 2276352*a^2*b^2*c^6*e - 
    2571264*a^2*b^2*c^5*d^2 - 10782720*a^2*b^2*c^3*d*e^2 + 178030080*a^2*b^2*c^2*d^3*e - 33776640*a^2*b^2*c*d^5 + 
    238720000*a^2*b^2*c*e^4 + 46976000*a^2*b^2*d^2*e^3 - 107520*a^2*b*c^7*d + 123015168*a^2*b*c^5*e^2 - 
    110284800*a^2*b*c^4*d^2*e + 30283776*a^2*b*c^3*d^4 + 14080000*a^2*b*c^2*d*e^3 - 392089600*a^2*b*c*d^3*e^2 - 
    13533184*a^2*b*d^5*e + 28800000*a^2*b*e^5 + 55296*a^2*c^9 - 4776960*a^2*c^6*d*e - 1737728*a^2*c^5*d^3 + 
    287616000*a^2*c^4*e^3 - 435148800*a^2*c^3*d^2*e^2 + 328442880*a^2*c^2*d^4*e - 41062400*a^2*c*d^6 - 582400000*a^2*c*d*e^4 
    - 524800000*a^2*d^3*e^3 + 290304*a*b^9*e^2 + 33408*a*b^8*c*d*e + 33024*a*b^8*d^3 - 29568*a*b^7*c^3*e - 
    176256*a*b^7*c^2*d^2 + 462528*a*b^7*d*e^2 + 101248*a*b^6*c^4*d - 17533440*a*b^6*c^2*e^2 - 176256*a*b^6*c*d^2*e + 
    491520*a*b^6*d^4 - 15104*a*b^5*c^6 + 11991808*a*b^5*c^3*d*e - 2542080*a*b^5*c^2*d^3 - 63043200*a*b^5*c*e^3 + 
    10245888*a*b^5*d^2*e^2 - 2602112*a*b^4*c^5*e - 574272*a*b^4*c^4*d^2 + 187343040*a*b^4*c^2*d*e^2 - 14748160*a*b^4*c*d^3*e 
    - 2547712*a*b^4*d^5 + 371280000*a*b^4*e^4 + 650240*a*b^3*c^6*d - 142090240*a*b^3*c^4*e^2 - 61399040*a*b^3*c^3*d^2*e + 
    21972992*a*b^3*c^2*d^4 - 652672000*a*b^3*c*d*e^3 - 138419200*a*b^3*d^3*e^2 - 92160*a*b^2*c^8 + 80504832*a*b^2*c^5*d*e - 
    26786816*a*b^2*c^4*d^3 + 324224000*a*b^2*c^3*e^3 + 477427200*a*b^2*c^2*d^2*e^2 + 61040640*a*b^2*c*d^4*e - 
    6422528*a*b^2*d^6 - 1000000000*a*b^2*d*e^4 - 12865536*a*b*c^7*e + 6521856*a*b*c^6*d^2 - 158822400*a*b*c^4*d*e^2 - 
    168140800*a*b*c^3*d^3*e + 15179776*a*b*c^2*d^5 - 179200000*a*b*c^2*e^4 + 165120000*a*b*c*d^2*e^3 + 455168000*a*b*d^4*e^2 
    - 387072*a*c^8*d - 99072000*a*c^6*e^2 + 120926208*a*c^5*d^2*e - 17720320*a*c^4*d^4 - 120320000*a*c^3*d*e^3 + 
    320384000*a*c^2*d^3*e^2 - 318464000*a*c*d^5*e - 320000000*a*c*e^5 + 43319296*a*d^7 + 1452800000*a*d^2*e^4 - 
    20736*b^10*d*e + 6912*b^9*c^2*e + 16128*b^9*c*d^2 - 9984*b^8*c^3*d + 2225664*b^8*c*e^2 + 246528*b^8*d^2*e + 1536*b^7*c^5 
    - 1817280*b^7*c^2*d*e + 153600*b^7*c*d^3 + 16191360*b^7*e^3 + 412224*b^6*c^4*e + 225344*b^6*c^3*d^2 - 
    44157888*b^6*c*d*e^2 - 294912*b^6*d^3*e - 138560*b^5*c^5*d + 29491968*b^5*c^3*e^2 + 22753536*b^5*c^2*d^2*e - 
    3407872*b^5*c*d^4 - 166617600*b^5*d*e^3 + 18560*b^4*c^7 - 22733120*b^4*c^4*d*e + 3144960*b^4*c^3*d^3 + 
    37272000*b^4*c^2*e^3 + 272620800*b^4*c*d^2*e^2 - 6758400*b^4*d^4*e + 3871744*b^3*c^6*e + 421888*b^3*c^5*d^2 - 
    248448000*b^3*c^3*d*e^2 - 107914240*b^3*c^2*d^3*e + 15761408*b^3*c*d^5 - 542400000*b^3*c*e^4 + 605440000*b^3*d^2*e^3 - 
    460800*b^2*c^7*d + 93480960*b^2*c^5*e^2 + 136273920*b^2*c^4*d^2*e - 20198400*b^2*c^3*d^4 + 774080000*b^2*c^2*d*e^3 - 
    725120000*b^2*c*d^3*e^2 + 38993920*b^2*d^5*e + 456000000*b^2*e^5 + 55296*b*c^9 - 71129088*b*c^6*d*e + 12304384*b*c^5*d^3 
    - 425600000*b*c^4*e^3 + 9984000*b*c^3*d^2*e^2 + 227225600*b*c^2*d^4*e - 30867456*b*c*d^6 + 771200000*b*c*d*e^4 - 
    691200000*b*d^3*e^3 + 9566208*c^8*e - 1907712*c^7*d^2 + 207590400*c^5*d*e^2 - 156697600*c^4*d^3*e + 23064576*c^3*d^5 + 
    492800000*c^3*e^4 - 860800000*c^2*d^2*e^3 + 488960000*c*d^4*e^2 - 54067200*d^6*e - 960000000*d*e^5
;
M[2][3,2] :=
                                -M[2][2,3];
M[3][2,3] :=
786432*a^9*d*e^3 + 5505024*a^8*b*c*e^3 - 1916928*a^8*b*d^2*e^2 + 589824*a^8*c^2*d*e^2 - 884736*a^8*c*d^3*e + 165888*a^8*d^5 -
    38535168*a^8*e^4 - 2113536*a^7*b^3*e^3 - 3096576*a^7*b^2*c*d*e^2 + 1142784*a^7*b^2*d^3*e - 3145728*a^7*b*c^3*e^2 + 
    3907584*a^7*b*c^2*d^2*e - 691200*a^7*b*c*d^4 + 36470784*a^7*b*d*e^3 - 180224*a^7*c^4*d*e + 24576*a^7*c^3*d^3 + 
    30081024*a^7*c^2*e^3 - 15777792*a^7*c*d^2*e^2 + 3704832*a^7*d^4*e + 1308672*a^6*b^4*d*e^2 + 4202496*a^6*b^3*c^2*e^2 - 
    2635776*a^6*b^3*c*d^2*e + 112128*a^6*b^3*d^4 - 1622016*a^6*b^2*c^3*d*e + 313344*a^6*b^2*c^2*d^3 - 91127808*a^6*b^2*c*e^3 
    + 6082560*a^6*b^2*d^2*e^2 + 409600*a^6*b*c^5*e - 37888*a^6*b*c^4*d^2 - 9879552*a^6*b*c^2*d*e^2 + 8220672*a^6*b*c*d^3*e - 
    2958336*a^6*b*d^5 + 368885760*a^6*b*e^4 - 4096*a^6*c^6*d - 7553024*a^6*c^4*e^2 + 7012352*a^6*c^3*d^2*e - 
    1069056*a^6*c^2*d^4 - 74711040*a^6*c*d*e^3 - 3944448*a^6*d^3*e^2 - 1723392*a^5*b^5*c*e^2 + 301824*a^5*b^5*d^2*e + 
    1308672*a^5*b^4*c^2*d*e - 21504*a^5*b^4*c*d^3 + 27359232*a^5*b^4*e^3 - 320512*a^5*b^3*c^4*e + 30720*a^5*b^3*c^3*d^2 + 
    45232128*a^5*b^3*c*d*e^2 - 7968768*a^5*b^3*d^3*e - 39936*a^5*b^2*c^5*d + 39690240*a^5*b^2*c^3*e^2 - 
    41490432*a^5*b^2*c^2*d^2*e + 9340416*a^5*b^2*c*d^4 - 338571264*a^5*b^2*d*e^3 + 8192*a^5*b*c^7 - 1456128*a^5*b*c^4*d*e - 
    161792*a^5*b*c^3*d^3 - 137601024*a^5*b*c^2*e^3 + 175306752*a^5*b*c*d^2*e^2 - 24210432*a^5*b*d^4*e + 610304*a^5*c^6*e - 
    128000*a^5*c^5*d^2 + 44933120*a^5*c^3*d*e^2 - 44765184*a^5*c^2*d^3*e + 7870464*a^5*c*d^5 - 445235200*a^5*c*e^4 + 
    105123840*a^5*d^2*e^3 + 214272*a^4*b^7*e^2 - 264960*a^4*b^6*c*d*e - 10176*a^4*b^6*d^3 + 70656*a^4*b^5*c^3*e - 
    86976*a^4*b^5*c^2*d^2 - 15395328*a^4*b^5*d*e^2 + 61696*a^4*b^4*c^4*d - 44292096*a^4*b^4*c^2*e^2 + 
    21526272*a^4*b^4*c*d^2*e - 1788096*a^4*b^4*d^4 - 10240*a^4*b^3*c^6 + 16746496*a^4*b^3*c^3*d*e - 4492800*a^4*b^3*c^2*d^3 +
    417515520*a^4*b^3*c*e^3 + 23362560*a^4*b^3*d^2*e^2 - 3833856*a^4*b^2*c^5*e + 1087488*a^4*b^2*c^4*d^2 - 
    81377280*a^4*b^2*c^2*d*e^2 - 12312576*a^4*b^2*c*d^3*e + 11773440*a^4*b^2*d^5 - 1141248000*a^4*b^2*e^4 - 30720*a^4*b*c^6*d
    - 1315840*a^4*b*c^4*e^2 + 28233728*a^4*b*c^3*d^2*e - 6577152*a^4*b*c^2*d^4 + 882995200*a^4*b*c*d*e^3 - 
    47155200*a^4*b*d^3*e^2 - 3848192*a^4*c^5*d*e + 812032*a^4*c^4*d^3 + 284672000*a^4*c^3*e^3 - 272732160*a^4*c^2*d^2*e^2 + 
    104437760*a^4*c*d^4*e - 10558464*a^4*d^6 + 375040000*a^4*d*e^4 + 12096*a^3*b^8*d*e - 4032*a^3*b^7*c^2*e + 
    33984*a^3*b^7*c*d^2 - 22080*a^3*b^6*c^3*d + 16409088*a^3*b^6*c*e^2 - 1919808*a^3*b^6*d^2*e + 3584*a^3*b^5*c^5 - 
    10641024*a^3*b^5*c^2*d*e + 1214208*a^3*b^5*c*d^3 - 111454464*a^3*b^5*e^3 + 2432768*a^3*b^4*c^4*e - 303040*a^3*b^4*c^3*d^2
    - 144990720*a^3*b^4*c*d*e^2 + 14080512*a^3*b^4*d^3*e + 123904*a^3*b^3*c^5*d - 71116800*a^3*b^3*c^3*e^2 + 
    102199296*a^3*b^3*c^2*d^2*e - 30471168*a^3*b^3*c*d^4 + 888576000*a^3*b^3*d*e^3 - 28672*a^3*b^2*c^7 - 
    11811840*a^3*b^2*c^4*d*e + 4996608*a^3*b^2*c^3*d^3 - 402380800*a^3*b^2*c^2*e^3 - 549104640*a^3*b^2*c*d^2*e^2 + 
    26311680*a^3*b^2*d^4*e + 1707008*a^3*b*c^6*e - 109568*a^3*b*c^5*d^2 - 145848320*a^3*b*c^3*d*e^2 + 
    154726400*a^3*b*c^2*d^3*e - 38850560*a^3*b*c*d^5 + 2537600000*a^3*b*c*e^4 - 1115392000*a^3*b*d^2*e^3 - 27648*a^3*c^7*d - 
    57570304*a^3*c^5*e^2 + 50979840*a^3*c^4*d^2*e - 7523328*a^3*c^3*d^4 - 937472000*a^3*c^2*d*e^3 + 183603200*a^3*c*d^3*e^2 -
    43778048*a^3*d^5*e - 454400000*a^3*e^5 - 3456*a^2*b^9*d^2 + 2304*a^2*b^8*c^2*d - 1873152*a^2*b^8*e^2 - 384*a^2*b^7*c^4 + 
    1746432*a^2*b^7*c*d*e - 64896*a^2*b^7*d^3 - 436224*a^2*b^6*c^3*e + 377856*a^2*b^6*c^2*d^2 + 51021504*a^2*b^6*d*e^2 - 
    255360*a^2*b^5*c^4*d + 102876480*a^2*b^5*c^2*e^2 - 48257280*a^2*b^5*c*d^2*e + 6504960*a^2*b^5*d^4 + 43008*a^2*b^4*c^6 - 
    33026432*a^2*b^4*c^3*d*e + 13733760*a^2*b^4*c^2*d^3 - 496646400*a^2*b^4*c*e^3 - 105333120*a^2*b^4*d^2*e^2 + 
    6988800*a^2*b^3*c^5*e - 4002304*a^2*b^3*c^4*d^2 + 600199680*a^2*b^3*c^2*d*e^2 + 20971520*a^2*b^3*c*d^3*e - 
    11667456*a^2*b^3*d^5 + 1110720000*a^2*b^3*e^4 - 33792*a^2*b^2*c^6*d + 224179200*a^2*b^2*c^4*e^2 - 
    303129600*a^2*b^2*c^3*d^2*e + 71076864*a^2*b^2*c^2*d^4 - 2084352000*a^2*b^2*c*d*e^3 + 494899200*a^2*b^2*d^3*e^2 + 
    55296*a^2*b*c^8 - 3876864*a^2*b*c^5*d*e - 3752960*a^2*b*c^4*d^3 - 623616000*a^2*b*c^3*e^3 + 1666944000*a^2*b*c^2*d^2*e^2 
    - 454225920*a^2*b*c*d^4*e + 67690496*a^2*b*d^6 - 1052800000*a^2*b*d*e^4 + 4036608*a^2*c^7*e - 801792*a^2*c^6*d^2 + 
    336921600*a^2*c^4*d*e^2 - 322734080*a^2*c^3*d^3*e + 54843392*a^2*c^2*d^5 - 998400000*a^2*c^2*e^4 + 
    1423360000*a^2*c*d^2*e^3 + 67840000*a^2*d^4*e^2 - 48384*a*b^9*d*e + 16128*a*b^8*c^2*e - 142848*a*b^8*c*d^2 + 
    92928*a*b^7*c^3*d - 38374848*a*b^7*c*e^2 + 2794752*a*b^7*d^2*e - 15104*a*b^6*c^5 + 20908224*a*b^6*c^2*d*e - 
    4919808*a*b^6*c*d^3 + 143023680*a*b^6*e^3 - 4348864*a*b^5*c^4*e + 179200*a*b^5*c^3*d^2 + 29341440*a*b^5*c*d*e^2 - 
    4094976*a*b^5*d^3*e + 594880*a*b^4*c^5*d - 220701120*a*b^4*c^3*e^2 - 6773760*a*b^4*c^2*d^2*e + 8574976*a*b^4*c*d^4 - 
    709248000*a*b^4*d*e^3 - 92160*a*b^3*c^7 + 109836800*a*b^3*c^4*d*e - 32114688*a*b^3*c^3*d^3 + 1583360000*a*b^3*c^2*e^3 - 
    25881600*a*b^3*c*d^2*e^2 + 19394560*a*b^3*d^4*e - 19971072*a*b^2*c^6*e + 8263680*a*b^2*c^5*d^2 - 
    1056345600*a*b^2*c^3*d*e^2 + 207621120*a*b^2*c^2*d^3*e - 36790272*a*b^2*c*d^5 - 3598400000*a*b^2*c*e^4 + 
    2115200000*a*b^2*d^2*e^3 - 414720*a*b*c^7*d - 61470720*a*b*c^5*e^2 + 237373440*a*b*c^4*d^2*e - 43868160*a*b*c^3*d^4 + 
    2597120000*a*b*c^2*d*e^3 - 1831424000*a*b*c*d^3*e^2 + 65781760*a*b*d^5*e + 1488000000*a*b*e^5 - 23362560*a*c^6*d*e + 
    5501952*a*c^5*d^3 + 466560000*a*c^4*e^3 - 1375104000*a*c^3*d^2*e^2 + 824729600*a*c^2*d^4*e - 123043840*a*c*d^6 + 
    736000000*a*c*d*e^4 - 1100800000*a*d^3*e^3 + 13824*b^10*d^2 - 9216*b^9*c^2*d + 4064256*b^9*e^2 + 1536*b^8*c^4 - 
    2649600*b^8*c*d*e + 436224*b^8*d^3 + 582144*b^7*c^3*e + 125568*b^7*c^2*d^2 - 40793472*b^7*d*e^2 - 129280*b^6*c^4*d + 
    44722368*b^6*c^2*e^2 + 22777344*b^6*c*d^2*e - 4030464*b^6*d^4 + 18560*b^5*c^6 - 31420160*b^5*c^3*d*e + 
    5542400*b^5*c^2*d^3 - 212409600*b^5*c*e^3 + 184619520*b^5*d^2*e^2 + 5607296*b^4*c^5*e - 203200*b^4*c^4*d^2 - 
    48508800*b^4*c^2*d*e^2 - 115025920*b^4*c*d^3*e + 13893632*b^4*d^5 + 114600000*b^4*e^4 - 433152*b^3*c^6*d + 
    97433600*b^3*c^4*e^2 + 91955200*b^3*c^3*d^2*e - 11110400*b^3*c^2*d^4 + 816640000*b^3*c*d*e^3 - 525568000*b^3*d^3*e^2 + 
    55296*b^2*c^8 - 72870912*b^2*c^5*d*e + 12659200*b^2*c^4*d^3 - 968960000*b^2*c^3*e^3 + 224256000*b^2*c^2*d^2*e^2 + 
    304128000*b^2*c*d^4*e - 42860544*b^2*d^6 - 203200000*b^2*d*e^4 + 11501568*b*c^7*e - 2377728*b*c^6*d^2 + 
    541440000*b*c^4*d*e^2 - 441651200*b*c^3*d^3*e + 70148096*b*c^2*d^5 + 2540800000*b*c^2*e^4 - 2700800000*b*c*d^2*e^3 + 
    834560000*b*d^4*e^2 - 40089600*c^6*e^2 + 39813120*c^5*d^2*e - 7326720*c^4*d^4 - 1036800000*c^3*d*e^3 + 
    1465600000*c^2*d^3*e^2 - 631603200*c*d^5*e - 1760000000*c*e^5 + 81264640*d^7 + 1232000000*d^2*e^4
;
M[3][3,2] :=
                                -M[3][2,3];
M[4][2,3] :=
7864320*a^9*c*e^3 - 1769472*a^9*d^2*e^2 - 2949120*a^8*b^2*e^3 - 4128768*a^8*b*c*d*e^2 + 884736*a^8*b*d^3*e - 
    3801088*a^8*c^3*e^2 + 3833856*a^8*c^2*d^2*e - 663552*a^8*c*d^4 + 9043968*a^8*d*e^3 + 1769472*a^7*b^3*d*e^2 + 
    5308416*a^7*b^2*c^2*e^2 - 2506752*a^7*b^2*c*d^2*e + 138240*a^7*b^2*d^4 - 1933312*a^7*b*c^3*d*e + 368640*a^7*b*c^2*d^3 - 
    85131264*a^7*b*c*e^3 + 11354112*a^7*b*d^2*e^2 + 425984*a^7*c^5*e - 61440*a^7*c^4*d^2 + 3735552*a^7*c^2*d*e^2 - 
    1474560*a^7*c*d^3*e - 497664*a^7*d^5 - 21954560*a^7*e^4 - 2211840*a^6*b^4*c*e^2 + 248832*a^6*b^4*d^2*e + 
    1400832*a^6*b^3*c^2*d*e - 67584*a^6*b^3*c*d^3 + 30130176*a^6*b^3*e^3 - 315392*a^6*b^2*c^4*e + 57344*a^6*b^2*c^3*d^2 + 
    42024960*a^6*b^2*c*d*e^2 - 6266880*a^6*b^2*d^3*e - 45056*a^6*b*c^5*d + 32342016*a^6*b*c^3*e^2 - 34160640*a^6*b*c^2*d^2*e 
    + 7584768*a^6*b*c*d^4 - 60227584*a^6*b*d*e^3 + 8192*a^6*c^7 + 270336*a^6*c^4*d*e - 442368*a^6*c^3*d^3 + 
    117669888*a^6*c^2*e^3 - 32931840*a^6*c*d^2*e^2 + 8312832*a^6*d^4*e + 276480*a^5*b^6*e^2 - 248832*a^5*b^5*c*d*e - 
    2304*a^5*b^5*d^3 + 61440*a^5*b^4*c^3*e - 94464*a^5*b^4*c^2*d^2 - 16957440*a^5*b^4*d*e^2 + 63488*a^5*b^3*c^4*d - 
    44974080*a^5*b^3*c^2*e^2 + 19685376*a^5*b^3*c*d^2*e - 1731072*a^5*b^3*d^4 - 10240*a^5*b^2*c^6 + 16080896*a^5*b^2*c^3*d*e 
    - 4245504*a^5*b^2*c^2*d^3 + 257867776*a^5*b^2*c*e^3 - 8988672*a^5*b^2*d^2*e^2 - 3436544*a^5*b*c^5*e + 
    1072128*a^5*b*c^4*d^2 - 84860928*a^5*b*c^2*d*e^2 + 12152832*a^5*b*c*d^3*e + 1612800*a^5*b*d^5 + 200294400*a^5*b*e^4 - 
    49152*a^5*c^6*d - 47329280*a^5*c^4*e^2 + 48193536*a^5*c^3*d^2*e - 8146944*a^5*c^2*d^4 - 23265280*a^5*c*d*e^3 + 
    2805760*a^5*d^3*e^2 + 6912*a^4*b^7*d*e - 2304*a^4*b^6*c^2*e + 34560*a^4*b^6*c*d^2 - 22272*a^4*b^5*c^3*d + 
    18063360*a^4*b^5*c*e^2 - 1580544*a^4*b^5*d^2*e + 3584*a^4*b^4*c^5 - 10621440*a^4*b^4*c^2*d*e + 1337088*a^4*b^4*c*d^3 - 
    97520640*a^4*b^4*e^3 + 2298880*a^4*b^3*c^4*e - 413696*a^4*b^3*c^3*d^2 - 110438400*a^4*b^3*c*d*e^2 + 
    11952128*a^4*b^3*d^3*e + 150528*a^4*b^2*c^5*d - 13230080*a^4*b^2*c^3*e^2 + 68868096*a^4*b^2*c^2*d^2*e - 
    22061568*a^4*b^2*c*d^4 + 94208000*a^4*b^2*d*e^3 - 28672*a^4*b*c^7 - 26105856*a^4*b*c^4*d*e + 7096320*a^4*b*c^3*d^3 - 
    777011200*a^4*b*c^2*e^3 + 239831040*a^4*b*c*d^2*e^2 - 58588160*a^4*b*d^4*e + 4796416*a^4*c^6*e - 871424*a^4*c^5*d^2 + 
    101007360*a^4*c^3*d*e^2 - 70062080*a^4*c^2*d^3*e + 6365184*a^4*c*d^5 - 76800000*a^4*c*e^4 - 111104000*a^4*d^2*e^3 - 
    3456*a^3*b^8*d^2 + 2304*a^3*b^7*c^2*d - 2142720*a^3*b^7*e^2 - 384*a^3*b^6*c^4 + 1631232*a^3*b^6*c*d*e - 99264*a^3*b^6*d^3
    - 381696*a^3*b^5*c^3*e + 415296*a^3*b^5*c^2*d^2 + 49091328*a^3*b^5*d*e^2 - 264704*a^3*b^4*c^4*d + 
    80551680*a^3*b^4*c^2*e^2 - 42307584*a^3*b^4*c*d^2*e + 5668096*a^3*b^4*d^4 + 43008*a^3*b^3*c^6 - 22890496*a^3*b^3*c^3*d*e 
    + 11094528*a^3*b^3*c^2*d^3 - 77721600*a^3*b^3*c*e^3 - 66554880*a^3*b^3*d^2*e^2 + 4763648*a^3*b^2*c^5*e - 
    3251200*a^3*b^2*c^4*d^2 + 286218240*a^3*b^2*c^2*d*e^2 + 15349760*a^3*b^2*c*d^3*e + 1739776*a^3*b^2*d^5 - 
    627840000*a^3*b^2*e^4 - 65536*a^3*b*c^6*d + 203955200*a^3*b*c^4*e^2 - 203980800*a^3*b*c^3*d^2*e + 45194240*a^3*b*c^2*d^4 
    + 349696000*a^3*b*c*d*e^3 + 73574400*a^3*b*d^3*e^2 + 55296*a^3*c^8 - 1230848*a^3*c^5*d*e - 2659328*a^3*c^4*d^3 + 
    441344000*a^3*c^3*e^3 - 165888000*a^3*c^2*d^2*e^2 + 67092480*a^3*c*d^4*e + 5271552*a^3*d^6 + 339200000*a^3*d*e^4 - 
    22464*a^2*b^8*d*e + 7488*a^2*b^7*c^2*e - 145728*a^2*b^7*c*d^2 + 93888*a^2*b^6*c^3*d - 36352512*a^2*b^6*c*e^2 + 
    2242368*a^2*b^6*d^2*e - 15104*a^2*b^5*c^5 + 19222656*a^2*b^5*c^2*d*e - 4559104*a^2*b^5*c*d^3 + 90270720*a^2*b^5*e^3 - 
    3902208*a^2*b^4*c^4*e + 128960*a^2*b^4*c^3*d^2 + 33964800*a^2*b^4*c*d*e^2 - 6147840*a^2*b^4*d^3*e + 582656*a^2*b^3*c^5*d 
    - 235806720*a^2*b^3*c^3*e^2 + 7557120*a^2*b^3*c^2*d^2*e + 3630080*a^2*b^3*c*d^4 + 56832000*a^2*b^3*d*e^3 - 
    92160*a^2*b^2*c^7 + 106183680*a^2*b^2*c^4*d*e - 29992448*a^2*b^2*c^3*d^3 + 1061120000*a^2*b^2*c^2*e^3 - 
    609715200*a^2*b^2*c*d^2*e^2 + 84843520*a^2*b^2*d^4*e - 19049472*a^2*b*c^6*e + 7879680*a^2*b*c^5*d^2 - 
    599500800*a^2*b*c^3*d*e^2 + 259112960*a^2*b*c^2*d^3*e - 63320064*a^2*b*c*d^5 + 393600000*a^2*b*c*e^4 + 
    83200000*a^2*b*d^2*e^3 - 414720*a^2*c^7*d - 145198080*a^2*c^5*e^2 + 150543360*a^2*c^4*d^2*e - 20874240*a^2*c^3*d^4 - 
    657920000*a^2*c^2*d*e^3 + 80384000*a^2*c*d^3*e^2 - 85954560*a^2*d^5*e - 288000000*a^2*e^5 + 13824*a*b^9*d^2 - 
    9216*a*b^8*c^2*d + 4152384*a*b^8*e^2 + 1536*a*b^7*c^4 - 2481408*a*b^7*c*d*e + 448512*a*b^7*d^3 + 522624*a*b^6*c^3*e + 
    98880*a*b^6*c^2*d^2 - 38302272*a*b^6*d*e^2 - 121728*a*b^5*c^4*d + 58158144*a*b^5*c^2*e^2 + 19184640*a*b^5*c*d^2*e - 
    3350528*a*b^5*d^4 + 18560*a*b^4*c^6 - 36374400*a*b^4*c^3*d*e + 6993152*a*b^4*c^2*d^3 - 377664000*a*b^4*c*e^3 + 
    144556800*a*b^4*d^2*e^2 + 6599680*a*b^3*c^5*e - 723456*a*b^3*c^4*d^2 + 121766400*a*b^3*c^2*d*e^2 - 93859840*a*b^3*c*d^3*e
    + 4882432*a*b^3*d^5 + 715200000*a*b^3*e^4 - 387072*a*b^2*c^6*d + 125414400*a*b^2*c^4*e^2 + 17894400*a*b^2*c^3*d^2*e + 
    7449600*a*b^2*c^2*d^4 - 464640000*a*b^2*c*d*e^3 - 168832000*a*b^2*d^3*e^2 + 55296*a*b*c^8 - 71903232*a*b*c^5*d*e + 
    10900480*a*b*c^4*d^3 - 1064960000*a*b*c^3*e^3 + 963456000*a*b*c^2*d^2*e^2 - 55296000*a*b*c*d^4*e + 10223616*a*b*d^6 - 
    835200000*a*b*d*e^4 + 13215744*a*c^7*e - 2626560*a*c^6*d^2 + 478080000*a*c^4*d*e^2 - 382105600*a*c^3*d^3*e + 
    59076608*a*c^2*d^5 + 550400000*a*c^2*e^4 - 76800000*a*c*d^2*e^3 + 238080000*a*d^4*e^2 - 20736*b^9*d*e + 6912*b^8*c^2*e + 
    2304*b^8*c*d^2 - 768*b^7*c^3*d - 1708992*b^7*c*e^2 + 239616*b^7*d^2*e + 771264*b^6*c^2*d*e - 270336*b^6*c*d^3 + 
    25963200*b^6*e^3 - 158400*b^5*c^4*e + 97280*b^5*c^3*d^2 - 14365440*b^5*c*d*e^2 + 1228800*b^5*d^3*e - 9280*b^4*c^5*d - 
    10440000*b^4*c^3*e^2 + 2184960*b^4*c^2*d^2*e + 40960*b^4*c*d^4 - 212640000*b^4*d*e^3 + 6269440*b^3*c^4*d*e - 
    1863680*b^3*c^3*d^3 + 276480000*b^3*c^2*e^3 + 170880000*b^3*c*d^2*e^2 - 13926400*b^3*d^4*e - 1354752*b^2*c^6*e + 
    534528*b^2*c^5*d^2 - 264768000*b^2*c^3*d*e^2 - 18406400*b^2*c^2*d^3*e + 8912896*b^2*c*d^5 - 1051200000*b^2*c*e^4 + 
    553600000*b^2*d^2*e^3 - 27648*b*c^7*d + 17971200*b*c^5*e^2 + 72345600*b*c^4*d^2*e - 15810560*b*c^3*d^4 + 
    1004800000*b*c^2*d*e^3 - 596480000*b*c*d^3*e^2 + 34406400*b*d^5*e + 720000000*b*e^5 - 12579840*c^6*d*e + 2903040*c^5*d^3 
    + 86400000*c^4*e^3 - 397440000*c^3*d^2*e^2 + 246272000*c^2*d^4*e - 36372480*c*d^6 - 64000000*c*d*e^4 - 192000000*d^3*e^3
;
M[4][3,2] :=
                                -M[4][2,3];
M[5][2,3] :=
7864320*a^8*c*e^3 - 1769472*a^8*d^2*e^2 - 2949120*a^7*b^2*e^3 - 4128768*a^7*b*c*d*e^2 + 884736*a^7*b*d^3*e - 
    3801088*a^7*c^3*e^2 + 3833856*a^7*c^2*d^2*e - 663552*a^7*c*d^4 + 8257536*a^7*d*e^3 + 1769472*a^6*b^3*d*e^2 + 
    5308416*a^6*b^2*c^2*e^2 - 2506752*a^6*b^2*c*d^2*e + 138240*a^6*b^2*d^4 - 1933312*a^6*b*c^3*d*e + 368640*a^6*b*c^2*d^3 - 
    82771968*a^6*b*c*e^3 + 11501568*a^6*b*d^2*e^2 + 425984*a^6*c^5*e - 61440*a^6*c^4*d^2 + 3145728*a^6*c^2*d*e^2 - 
    589824*a^6*c*d^3*e - 663552*a^6*d^5 + 8192000*a^6*e^4 - 2211840*a^5*b^4*c*e^2 + 248832*a^5*b^4*d^2*e + 
    1400832*a^5*b^3*c^2*d*e - 67584*a^5*b^3*c*d^3 + 29294592*a^5*b^3*e^3 - 315392*a^5*b^2*c^4*e + 57344*a^5*b^2*c^3*d^2 + 
    40992768*a^5*b^2*c*d*e^2 - 6524928*a^5*b^2*d^3*e - 45056*a^5*b*c^5*d + 31686656*a^5*b*c^3*e^2 - 34234368*a^5*b*c^2*d^2*e 
    + 7612416*a^5*b*c*d^4 - 80445440*a^5*b*d*e^3 + 8192*a^5*c^7 + 450560*a^5*c^4*d*e - 466944*a^5*c^3*d^3 + 
    93880320*a^5*c^2*e^3 - 20398080*a^5*c*d^2*e^2 + 5160960*a^5*d^4*e + 276480*a^4*b^6*e^2 - 248832*a^4*b^5*c*d*e - 
    2304*a^4*b^5*d^3 + 61440*a^4*b^4*c^3*e - 94464*a^4*b^4*c^2*d^2 - 16496640*a^4*b^4*d*e^2 + 63488*a^4*b^3*c^4*d - 
    43868160*a^4*b^3*c^2*e^2 + 19814400*a^4*b^3*c*d^2*e - 1704960*a^4*b^3*d^4 - 10240*a^4*b^2*c^6 + 15769600*a^4*b^2*c^3*d*e 
    - 4190208*a^4*b^2*c^2*d^3 + 260096000*a^4*b^2*c*e^3 - 5314560*a^4*b^2*d^2*e^2 - 3420160*a^4*b*c^5*e + 
    1048576*a^4*b*c^4*d^2 - 73605120*a^4*b*c^2*d*e^2 + 4300800*a^4*b*c*d^3*e + 3686400*a^4*b*d^5 - 61440000*a^4*b*e^4 - 
    45056*a^4*c^6*d - 41349120*a^4*c^4*e^2 + 42639360*a^4*c^3*d^2*e - 7326720*a^4*c^2*d^4 + 16384000*a^4*c*d*e^3 + 
    7782400*a^4*d^3*e^2 + 6912*a^3*b^7*d*e - 2304*a^3*b^6*c^2*e + 34560*a^3*b^6*c*d^2 - 22272*a^3*b^5*c^3*d + 
    17574912*a^3*b^5*c*e^2 - 1633536*a^3*b^5*d^2*e + 3584*a^3*b^4*c^5 - 10529280*a^3*b^4*c^2*d*e + 1291008*a^3*b^4*c*d^3 - 
    94540800*a^3*b^4*e^3 + 2304000*a^3*b^3*c^4*e - 387072*a^3*b^3*c^3*d^2 - 111851520*a^3*b^3*c*d*e^2 + 
    13404160*a^3*b^3*d^3*e + 145408*a^3*b^2*c^5*d - 18595840*a^3*b^2*c^3*e^2 + 74188800*a^3*b^2*c^2*d^2*e - 
    23439360*a^3*b^2*c*d^4 + 275968000*a^3*b^2*d*e^3 - 28672*a^3*b*c^7 - 24780800*a^3*b*c^4*d*e + 6912000*a^3*b*c^3*d^3 - 
    594944000*a^3*b*c^2*e^3 + 103526400*a^3*b*c*d^2*e^2 - 36147200*a^3*b*d^4*e + 4317184*a^3*c^6*e - 774144*a^3*c^5*d^2 + 
    70656000*a^3*c^3*d*e^2 - 39956480*a^3*c^2*d^3*e + 1093632*a^3*c*d^5 + 179200000*a^3*c*e^4 - 133120000*a^3*d^2*e^3 - 
    3456*a^2*b^8*d^2 + 2304*a^2*b^7*c^2*d - 2080512*a^2*b^7*e^2 - 384*a^2*b^6*c^4 + 1647360*a^2*b^6*c*d*e - 91392*a^2*b^6*d^3
    - 390912*a^2*b^5*c^3*e + 407808*a^2*b^5*c^2*d^2 + 47455488*a^2*b^5*d*e^2 - 262912*a^2*b^4*c^4*d + 
    79276800*a^2*b^4*c^2*e^2 - 43633920*a^2*b^4*c*d^2*e + 5688320*a^2*b^4*d^4 + 43008*a^2*b^3*c^6 - 23132160*a^2*b^3*c^3*d*e 
    + 11243520*a^2*b^3*c^2*d^3 - 182016000*a^2*b^3*c*e^3 - 86016000*a^2*b^3*d^2*e^2 + 5031936*a^2*b^2*c^5*e - 
    3256320*a^2*b^2*c^4*d^2 + 275865600*a^2*b^2*c^2*d*e^2 + 29480960*a^2*b^2*c*d^3*e - 5107712*a^2*b^2*d^5 + 
    86400000*a^2*b^2*e^4 - 79872*a^2*b*c^6*d + 171417600*a^2*b*c^4*e^2 - 188590080*a^2*b*c^3*d^2*e + 43888640*a^2*b*c^2*d^4 -
    128000000*a^2*b*c*d*e^3 + 60928000*a^2*b*d^3*e^2 + 55296*a^2*c^8 + 1425408*a^2*c^5*d*e - 3184640*a^2*c^4*d^3 + 
    261120000*a^2*c^3*e^3 - 31488000*a^2*c^2*d^2*e^2 + 21606400*a^2*c*d^4*e + 8503296*a^2*d^6 + 76800000*a^2*d*e^4 - 
    27648*a*b^8*d*e + 9216*a*b^7*c^2*e - 145152*a*b^7*c*d^2 + 93696*a*b^6*c^3*d - 34758144*a*b^6*c*e^2 + 2520576*a*b^6*d^2*e 
    - 15104*a*b^5*c^5 + 19105536*a*b^5*c^2*d*e - 4434944*a*b^5*c*d^3 + 98208000*a*b^5*e^3 - 3985920*a*b^4*c^4*e + 
    34560*a*b^4*c^3*d^2 + 57043200*a*b^4*c*d*e^2 - 7342080*a*b^4*d^3*e + 604160*a*b^3*c^5*d - 194150400*a*b^3*c^3*e^2 - 
    12011520*a*b^3*c^2*d^2*e + 9154560*a*b^3*c*d^4 - 341760000*a*b^3*d*e^3 - 92160*a*b^2*c^7 + 95232000*a*b^2*c^4*d*e - 
    28497920*a*b^2*c^3*d^3 + 853760000*a*b^2*c^2*e^3 - 168192000*a*b^2*c*d^2*e^2 + 44441600*a*b^2*d^4*e - 16902144*a*b*c^6*e 
    + 7323648*a*b*c^5*d^2 - 429312000*a*b*c^3*d*e^2 + 122368000*a*b*c^2*d^3*e - 35012608*a*b*c*d^5 - 710400000*a*b*c*e^4 + 
    422400000*a*b*d^2*e^3 - 387072*a*c^7*d - 105984000*a*c^5*e^2 + 114585600*a*c^4*d^2*e - 15831040*a*c^3*d^4 - 
    166400000*a*c^2*d*e^3 + 23040000*a*c*d^3*e^2 - 61440000*a*d^5*e + 13824*b^9*d^2 - 9216*b^8*c^2*d + 3908736*b^8*e^2 + 
    1536*b^7*c^4 - 2559744*b^7*c*d*e + 417792*b^7*d^3 + 563712*b^6*c^3*e + 129792*b^6*c^2*d^2 - 39179520*b^6*d*e^2 - 
    129280*b^5*c^4*d + 42024960*b^5*c^2*e^2 + 21918720*b^5*c*d^2*e - 3850240*b^5*d^4 + 18560*b^4*c^6 - 29694720*b^4*c^3*d*e +
    5176320*b^4*c^2*d^3 - 163680000*b^4*c*e^3 + 149376000*b^4*d^2*e^2 + 5287936*b^3*c^5*e - 128000*b^3*c^4*d^2 - 
    65280000*b^3*c^2*d*e^2 - 87347200*b^3*c*d^3*e + 9306112*b^3*d^5 + 105600000*b^3*e^4 - 433152*b^2*c^6*d + 
    91776000*b^2*c^4*e^2 + 79411200*b^2*c^3*d^2*e - 8581120*b^2*c^2*d^4 + 428800000*b^2*c*d*e^3 - 243200000*b^2*d^3*e^2 + 
    55296*b*c^8 - 65157120*b*c^5*d*e + 10977280*b*c^4*d^3 - 569600000*b*c^3*e^3 + 168960000*b*c^2*d^2*e^2 + 
    88064000*b*c*d^4*e - 5898240*b*d^6 - 192000000*b*d*e^4 + 10229760*c^7*e - 2073600*c^6*d^2 + 264960000*c^4*d*e^2 - 
    183808000*c^3*d^3*e + 26296320*c^2*d^5 + 656000000*c^2*e^4 - 448000000*c*d^2*e^3 + 153600000*d^4*e^2
;
M[5][3,2] :=
                                -M[5][2,3];
M[1][2,4] :=
-8388608*a^11*c*e^4 + 1048576*a^11*d^2*e^3 + 3145728*a^10*b^2*e^4 + 7340032*a^10*b*c*d*e^3 - 786432*a^10*b*d^3*e^2 + 
    6291456*a^10*c^3*e^3 - 5242880*a^10*c^2*d^2*e^2 + 1474560*a^10*c*d^4*e - 110592*a^10*d^6 + 2097152*a^10*d*e^4 - 
    2883584*a^9*b^3*d*e^3 - 8912896*a^9*b^2*c^2*e^3 + 1769472*a^9*b^2*c*d^2*e^2 - 356352*a^9*b^2*d^4*e + 
    524288*a^9*b*c^3*d*e^2 - 327680*a^9*b*c^2*d^3*e - 36864*a^9*b*c*d^5 + 101711872*a^9*b*c*e^4 - 16252928*a^9*b*d^2*e^3 - 
    1572864*a^9*c^5*e^2 + 1376256*a^9*c^4*d^2*e - 237568*a^9*c^3*d^4 - 90177536*a^9*c^2*d*e^3 + 15990784*a^9*c*d^3*e^2 - 
    1695744*a^9*d^5*e + 72351744*a^9*e^5 + 3702784*a^8*b^4*c*e^3 + 208896*a^8*b^4*d^2*e^2 + 1245184*a^8*b^3*c^2*d*e^2 + 
    106496*a^8*b^3*c*d^3*e + 38912*a^8*b^3*d^5 - 37224448*a^8*b^3*e^4 + 2818048*a^8*b^2*c^4*e^2 - 1949696*a^8*b^2*c^3*d^2*e +
    354304*a^8*b^2*c^2*d^4 - 14417920*a^8*b^2*c*d*e^3 + 5062656*a^8*b^2*d^3*e^2 - 589824*a^8*b*c^5*d*e + 131072*a^8*b*c^4*d^3
    - 52428800*a^8*b*c^3*e^3 + 102694912*a^8*b*c^2*d^2*e^2 - 20123648*a^8*b*c*d^4*e + 1695744*a^8*b*d^6 - 
    97255424*a^8*b*d*e^4 + 131072*a^8*c^7*e - 32768*a^8*c^6*d^2 + 37879808*a^8*c^4*d*e^2 - 38371328*a^8*c^3*d^3*e + 
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    350576640*a^5*c^3*e^4 + 2511388672*a^5*c^2*d^2*e^3 - 607223808*a^5*c*d^4*e^2 + 110182400*a^5*d^6*e - 2059264000*a^5*d*e^5
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    23644160*a^4*b^2*c^4*d*e^2 - 290004992*a^4*b^2*c^3*d^3*e + 71094272*a^4*b^2*c^2*d^5 - 545740800*a^4*b^2*c^2*e^4 + 
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    22738944*a^3*b^5*c^4*d*e - 7008256*a^3*b^5*c^3*d^3 + 173664256*a^3*b^5*c^2*e^3 - 551370752*a^3*b^5*c*d^2*e^2 + 
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    + 799539200*a*c*d^5*e^2 + 2560000000*a*c*e^6 - 838860800*a*d^7*e + 16640000000*a*d^2*e^5 + 165888*b^12*e^2 - 
    129024*b^11*c*d*e + 49152*b^11*d^3 + 30720*b^10*c^3*e - 20480*b^10*c^2*d^2 + 15169536*b^10*d*e^2 + 2048*b^9*c^4*d - 
    1700352*b^9*c^2*e^2 - 10059776*b^9*c*d^2*e + 2228224*b^9*d^4 + 3182080*b^8*c^3*d*e - 540672*b^8*c^2*d^3 + 
    29228544*b^8*c*e^3 - 19152896*b^8*d^2*e^2 - 194048*b^7*c^5*e - 91136*b^7*c^4*d^2 + 120152064*b^7*c^2*d*e^2 + 
    6750208*b^7*c*d^3*e - 2097152*b^7*d^5 + 258432000*b^7*e^4 + 22016*b^6*c^6*d - 18250240*b^6*c^4*e^2 - 
    84240384*b^6*c^3*d^2*e + 21233664*b^6*c^2*d^4 - 1203415040*b^6*c*d*e^3 - 477036544*b^6*d^3*e^2 + 30468096*b^5*c^5*d*e - 
    8142848*b^5*c^4*d^3 + 534251520*b^5*c^3*e^3 + 1584152576*b^5*c^2*d^2*e^2 + 196870144*b^5*c*d^4*e - 69206016*b^5*d^6 - 
    2132992000*b^5*d*e^4 - 2660352*b^4*c^7*e + 598016*b^4*c^6*d^2 - 456448000*b^4*c^4*d*e^2 - 657530880*b^4*c^3*d^3*e + 
    154402816*b^4*c^2*d^5 + 792320000*b^4*c^2*e^4 - 779264000*b^4*c*d^2*e^3 + 701235200*b^4*d^4*e^2 + 38912*b^3*c^8*d + 
    47468544*b^3*c^6*e^2 + 200353792*b^3*c^5*d^2*e - 33341440*b^3*c^4*d^4 - 2651648000*b^3*c^3*d*e^3 + 
    2269184000*b^3*c^2*d^3*e^2 - 660078592*b^3*c*d^5*e - 9209600000*b^3*c*e^5 + 20971520*b^3*d^7 + 12953600000*b^3*d^2*e^4 - 
    16300032*b^2*c^7*d*e - 4984832*b^2*c^6*d^3 + 1237248000*b^2*c^5*e^3 + 1314611200*b^2*c^4*d^2*e^2 - 
    1082490880*b^2*c^3*d^4*e + 292552704*b^2*c^2*d^6 + 8870400000*b^2*c^2*d*e^4 - 14315520000*b^2*c*d^3*e^3 + 
    3080192000*b^2*d^5*e^2 + 9600000000*b^2*e^6 + 331776*b*c^9*e + 1695744*b*c^8*d^2 - 849469440*b*c^6*d*e^2 + 
    298295296*b*c^5*d^3*e - 71827456*b*c^4*d^5 - 4224000000*b*c^4*e^4 - 2099200000*b*c^3*d^2*e^3 + 7815168000*b*c^2*d^4*e^2 -
    3334471680*b*c*d^6*e + 9856000000*b*c*d*e^5 + 536870912*b*d^8 - 3686400000*b*d^3*e^4 - 110592*c^10*d + 114462720*c^8*e^2 
    - 14966784*c^7*d^2*e + 1933312*c^6*d^4 + 2864128000*c^5*d*e^3 - 1992704000*c^4*d^3*e^2 + 231997440*c^3*d^5*e + 
    3072000000*c^3*e^5 - 8388608*c^2*d^7 - 2150400000*c^2*d^2*e^4 - 819200000*c*d^4*e^3 + 1048576000*d^6*e^2 - 
    19200000000*d*e^6
;
M[1][4,2] :=
                                -M[1][2,4];
M[2][2,4] :=
-50331648*a^10*c*e^4 + 1048576*a^10*d^2*e^3 + 15728640*a^9*b^2*e^4 + 52428800*a^9*b*c*d*e^3 + 393216*a^9*b*d^3*e^2 - 
    75497472*a^9*c^3*e^3 - 25952256*a^9*c^2*d^2*e^2 + 8257536*a^9*c*d^4*e - 442368*a^9*d^6 + 77594624*a^9*d*e^4 - 
    16646144*a^8*b^3*d*e^3 + 55312384*a^8*b^2*c^2*e^3 - 1376256*a^8*b^2*c*d^2*e^2 - 3489792*a^8*b^2*d^4*e + 
    77070336*a^8*b*c^3*d*e^2 + 3735552*a^8*b*c^2*d^3*e - 2064384*a^8*b*c*d^5 + 786432000*a^8*b*c*e^4 - 
    134610944*a^8*b*d^2*e^3 + 46137344*a^8*c^5*e^2 - 52232192*a^8*c^4*d^2*e + 9273344*a^8*c^3*d^4 + 306708480*a^8*c^2*d*e^3 +
    45613056*a^8*c*d^3*e^2 - 12681216*a^8*d^5*e - 372244480*a^8*e^5 - 12910592*a^7*b^4*c*e^3 + 2899968*a^7*b^4*d^2*e^2 - 
    61145088*a^7*b^3*c^2*d*e^2 - 983040*a^7*b^3*c*d^3*e + 997376*a^7*b^3*d^5 - 253624320*a^7*b^3*e^4 - 
    96141312*a^7*b^2*c^4*e^2 + 43352064*a^7*b^2*c^3*d^2*e - 6021120*a^7*b^2*c^2*d^4 - 920256512*a^7*b^2*c*d*e^3 + 
    36864000*a^7*b^2*d^3*e^2 + 30277632*a^7*b*c^5*d*e - 5677056*a^7*b*c^4*d^3 + 541589504*a^7*b*c^3*e^3 + 
    113049600*a^7*b*c^2*d^2*e^2 - 136740864*a^7*b*c*d^4*e + 14229504*a^7*b*d^6 - 691404800*a^7*b*d*e^4 - 5767168*a^7*c^7*e + 
    1032192*a^7*c^6*d^2 - 257032192*a^7*c^4*d*e^2 + 228982784*a^7*c^3*d^3*e - 34160640*a^7*c^2*d^5 - 468451328*a^7*c^2*e^4 - 
    1061945344*a^7*c*d^2*e^3 + 24428544*a^7*d^4*e^2 + 901120*a^6*b^6*e^3 + 15925248*a^6*b^5*c*d*e^2 + 135168*a^6*b^5*d^3*e + 
    71172096*a^6*b^4*c^3*e^2 - 10862592*a^6*b^4*c^2*d^2*e + 925696*a^6*b^4*c*d^4 + 272957440*a^6*b^4*d*e^3 - 
    32694272*a^6*b^3*c^4*d*e + 5423104*a^6*b^3*c^3*d^3 - 249888768*a^6*b^3*c^2*e^3 + 138215424*a^6*b^3*c*d^2*e^2 + 
    46987264*a^6*b^3*d^4*e + 6307840*a^6*b^2*c^6*e - 1675264*a^6*b^2*c^5*d^2 - 260112384*a^6*b^2*c^3*d*e^2 - 
    160874496*a^6*b^2*c^2*d^3*e + 33361920*a^6*b^2*c*d^5 - 4440784896*a^6*b^2*c*e^4 + 1815347200*a^6*b^2*d^2*e^3 + 
    425984*a^6*b*c^7*d - 293470208*a^6*b*c^5*e^2 + 267886592*a^6*b*c^4*d^2*e - 58179584*a^6*b*c^3*d^4 - 
    828309504*a^6*b*c^2*d*e^3 + 157876224*a^6*b*c*d^3*e^2 + 151658496*a^6*b*d^5*e + 3470131200*a^6*b*e^5 - 65536*a^6*c^9 + 
    14778368*a^6*c^6*d*e - 262144*a^6*c^5*d^3 - 873267200*a^6*c^4*e^3 + 432078848*a^6*c^3*d^2*e^2 - 492109824*a^6*c^2*d^4*e +
    71909376*a^6*c*d^6 + 2519203840*a^6*c*d*e^4 + 1462304768*a^6*d^3*e^3 - 1320960*a^5*b^7*d*e^2 - 24502272*a^5*b^6*c^2*e^2 +
    356352*a^5*b^6*c*d^2*e - 44032*a^5*b^6*d^4 + 12337152*a^5*b^5*c^3*d*e - 1939456*a^5*b^5*c^2*d^3 + 5734400*a^5*b^5*c*e^3 -
    60223488*a^5*b^5*d^2*e^2 - 2338816*a^5*b^4*c^5*e + 1452032*a^5*b^4*c^4*d^2 + 226197504*a^5*b^4*c^2*d*e^2 + 
    21454848*a^5*b^4*c*d^3*e - 12347392*a^5*b^4*d^5 + 1477361664*a^5*b^4*e^4 - 655360*a^5*b^3*c^6*d + 
    610738176*a^5*b^3*c^4*e^2 - 188366848*a^5*b^3*c^3*d^2*e + 30117888*a^5*b^3*c^2*d^4 + 4145807360*a^5*b^3*c*d*e^3 - 
    693653504*a^5*b^3*d^3*e^2 + 98304*a^5*b^2*c^8 - 220471296*a^5*b^2*c^5*d*e + 49780736*a^5*b^2*c^4*d^3 - 
    487686144*a^5*b^2*c^3*e^3 - 1487634432*a^5*b^2*c^2*d^2*e^2 + 963895296*a^5*b^2*c*d^4*e - 143831040*a^5*b^2*d^6 + 
    1590394880*a^5*b^2*d*e^4 + 39813120*a^5*b*c^7*e - 11640832*a^5*b*c^6*d^2 + 2154995712*a^5*b*c^4*d*e^2 - 
    919470080*a^5*b*c^3*d^3*e + 151977984*a^5*b*c^2*d^5 + 5329715200*a^5*b*c^2*e^4 + 2616131584*a^5*b*c*d^2*e^3 - 
    1347207168*a^5*b*d^4*e^2 + 458752*a^5*c^8*d + 480886784*a^5*c^6*e^2 - 572391424*a^5*c^5*d^2*e + 95830016*a^5*c^4*d^4 + 
    3060400128*a^5*c^3*d*e^3 + 94666752*a^5*c^2*d^3*e^2 + 582287360*a^5*c*d^5*e - 5455872000*a^5*c*e^5 - 119128064*a^5*d^7 - 
    3180544000*a^5*d^2*e^4 + 3993600*a^4*b^8*c*e^2 + 104448*a^4*b^8*d^2*e - 1671168*a^4*b^7*c^2*d*e + 361472*a^4*b^7*c*d^3 + 
    6060032*a^4*b^7*e^3 + 268288*a^4*b^6*c^4*e - 674816*a^4*b^6*c^3*d^2 - 37539840*a^4*b^6*c*d*e^2 + 1105920*a^4*b^6*d^3*e + 
    358400*a^4*b^5*c^5*d - 425607168*a^4*b^5*c^3*e^2 + 35567616*a^4*b^5*c^2*d^2*e + 1304576*a^4*b^5*c*d^4 - 
    1327788032*a^4*b^5*d*e^3 - 53248*a^4*b^4*c^7 + 209938432*a^4*b^4*c^4*d*e - 44527616*a^4*b^4*c^3*d^3 - 
    414679040*a^4*b^4*c^2*e^3 + 33177600*a^4*b^4*c*d^2*e^2 - 215535616*a^4*b^4*d^4*e - 40435712*a^4*b^3*c^6*e + 
    12959744*a^4*b^3*c^5*d^2 - 458342400*a^4*b^3*c^3*d*e^2 + 454774784*a^4*b^3*c^2*d^3*e - 57694208*a^4*b^3*c*d^5 + 
    10243276800*a^4*b^3*c*e^4 - 7256084480*a^4*b^3*d^2*e^3 - 2048000*a^4*b^2*c^7*d - 511823872*a^4*b^2*c^5*e^2 + 
    127760384*a^4*b^2*c^4*d^2*e + 16670720*a^4*b^2*c^3*d^4 - 7069614080*a^4*b^2*c^2*d*e^3 + 1027891200*a^4*b^2*c*d^3*e^2 - 
    582856704*a^4*b^2*d^5*e - 10188800000*a^4*b^2*e^5 + 262144*a^4*b*c^9 + 249241600*a^4*b*c^6*d*e - 52674560*a^4*b*c^5*d^3 +
    3477626880*a^4*b*c^4*e^3 - 3410657280*a^4*b*c^3*d^2*e^2 + 883834880*a^4*b*c^2*d^4*e - 79503360*a^4*b*c*d^6 - 
    14905344000*a^4*b*c*d*e^4 - 5997772800*a^4*b*d^3*e^3 - 58376192*a^4*c^8*e + 10649600*a^4*c^7*d^2 - 
    2785345536*a^4*c^5*d*e^2 + 2599116800*a^4*c^4*d^3*e - 413138944*a^4*c^3*d^5 - 1118208000*a^4*c^3*e^4 - 
    10300620800*a^4*c^2*d^2*e^3 - 503808000*a^4*c*d^4*e^2 + 158187520*a^4*d^6*e + 4608000000*a^4*d*e^5 - 248832*a^3*b^10*e^2 
    - 15360*a^3*b^9*c*d*e - 30208*a^3*b^9*d^3 + 21504*a^3*b^8*c^3*e + 142848*a^3*b^8*c^2*d^2 + 18432*a^3*b^8*d*e^2 - 
    81920*a^3*b^7*c^4*d + 132993024*a^3*b^7*c^2*e^2 + 924672*a^3*b^7*c*d^2*e - 858112*a^3*b^7*d^4 + 12288*a^3*b^6*c^6 - 
    71063552*a^3*b^6*c^3*d*e + 13284864*a^3*b^6*c^2*d^3 + 439980032*a^3*b^6*c*e^3 + 182568960*a^3*b^6*d^2*e^2 + 
    13815808*a^3*b^5*c^5*e - 7452672*a^3*b^5*c^4*d^2 - 25982976*a^3*b^5*c^2*d*e^2 - 26480640*a^3*b^5*c*d^3*e + 
    32522240*a^3*b^5*d^5 - 3693834240*a^3*b^5*e^4 + 2785280*a^3*b^4*c^6*d - 328601600*a^3*b^4*c^4*e^2 + 
    7532544*a^3*b^4*c^3*d^2*e - 30455808*a^3*b^4*c^2*d^4 - 4205486080*a^3*b^4*c*d*e^3 + 2542202880*a^3*b^4*d^3*e^2 - 
    409600*a^3*b^3*c^8 + 136351744*a^3*b^3*c^5*d*e - 62224384*a^3*b^3*c^4*d^3 - 452608000*a^3*b^3*c^3*e^3 + 
    7521013760*a^3*b^3*c^2*d^2*e^2 - 2423889920*a^3*b^3*c*d^4*e + 443842560*a^3*b^3*d^6 + 794368000*a^3*b^3*d*e^4 - 
    17518592*a^3*b^2*c^7*e + 17238016*a^3*b^2*c^6*d^2 - 949032960*a^3*b^2*c^4*d*e^2 - 1083883520*a^3*b^2*c^3*d^3*e + 
    18038784*a^3*b^2*c^2*d^5 - 19305472000*a^3*b^2*c^2*e^4 + 20176896000*a^3*b^2*c*d^2*e^3 + 6104555520*a^3*b^2*d^4*e^2 + 
    1196032*a^3*b*c^8*d - 1297760256*a^3*b*c^6*e^2 + 737329152*a^3*b*c^5*d^2*e - 159842304*a^3*b*c^4*d^4 - 
    3276800*a^3*b*c^3*d*e^3 + 3771514880*a^3*b*c^2*d^3*e^2 - 2197782528*a^3*b*c*d^5*e + 32256000000*a^3*b*c*e^5 + 
    537264128*a^3*b*d^7 + 16327680000*a^3*b*d^2*e^4 - 475136*a^3*c^10 + 176275456*a^3*c^7*d*e - 17108992*a^3*c^6*d^3 - 
    2245591040*a^3*c^5*e^3 + 6551511040*a^3*c^4*d^2*e^2 - 5950341120*a^3*c^3*d^4*e + 841940992*a^3*c^2*d^6 + 
    15923200000*a^3*c^2*d*e^4 + 21192704000*a^3*c*d^3*e^3 - 348487680*a^3*d^5*e^2 - 4864000000*a^3*e^6 + 13824*a^2*b^11*d*e -
    4608*a^2*b^10*c^2*e - 10752*a^2*b^10*c*d^2 + 6656*a^2*b^9*c^3*d - 19006464*a^2*b^9*c*e^2 - 448512*a^2*b^9*d^2*e - 
    1024*a^2*b^8*c^5 + 8520192*a^2*b^8*c^2*d*e - 1868288*a^2*b^8*c*d^3 - 71964672*a^2*b^8*e^3 - 1460224*a^2*b^7*c^4*e + 
    2938880*a^2*b^7*c^3*d^2 - 89250816*a^2*b^7*c*d*e^2 - 11870208*a^2*b^7*d^3*e - 1515520*a^2*b^6*c^5*d + 
    400409600*a^2*b^6*c^3*e^2 + 30045696*a^2*b^6*c^2*d^2*e - 19171328*a^2*b^6*c*d^4 + 2212802560*a^2*b^6*d*e^3 + 
    225280*a^2*b^5*c^7 - 237813760*a^2*b^5*c^4*d*e + 81971200*a^2*b^5*c^3*d^3 + 1483339776*a^2*b^5*c^2*e^3 - 
    3022811136*a^2*b^5*c*d^2*e^2 + 366911488*a^2*b^5*d^4*e + 46385152*a^2*b^4*c^6*e - 16500736*a^2*b^4*c^5*d^2 - 
    1675857920*a^2*b^4*c^3*d*e^2 + 815052800*a^2*b^4*c^2*d^3*e - 235315200*a^2*b^4*c*d^5 - 6405120000*a^2*b^4*c*e^4 + 
    7483187200*a^2*b^4*d^2*e^3 - 3164160*a^2*b^3*c^7*d + 2531414016*a^2*b^3*c^5*e^2 + 56094720*a^2*b^3*c^4*d^2*e + 
    110514176*a^2*b^3*c^3*d^4 + 12681932800*a^2*b^3*c^2*d*e^3 - 16003747840*a^2*b^3*c*d^3*e^2 + 614924288*a^2*b^3*d^5*e + 
    7929600000*a^2*b^3*e^5 + 708608*a^2*b^2*c^9 - 1101637632*a^2*b^2*c^6*d*e + 240785408*a^2*b^2*c^5*d^3 - 
    2485401600*a^2*b^2*c^4*e^3 - 9921699840*a^2*b^2*c^3*d^2*e^2 + 8828190720*a^2*b^2*c^2*d^4*e - 1554874368*a^2*b^2*c*d^6 + 
    14871040000*a^2*b^2*c*d*e^4 - 7937024000*a^2*b^2*d^3*e^3 + 181403648*a^2*b*c^8*e - 67055616*a^2*b*c^7*d^2 + 
    6765772800*a^2*b*c^5*d*e^2 - 2194923520*a^2*b*c^4*d^3*e + 663764992*a^2*b*c^3*d^5 + 4270080000*a^2*b*c^3*e^4 - 
    14403584000*a^2*b*c^2*d^2*e^3 - 10981785600*a^2*b*c*d^4*e^2 - 1029570560*a^2*b*d^6*e - 16768000000*a^2*b*d*e^5 + 
    3710976*a^2*c^9*d + 1099022336*a^2*c^7*e^2 - 1601556480*a^2*c^6*d^2*e + 220749824*a^2*c^5*d^4 + 1926144000*a^2*c^4*d*e^3 
    - 6254592000*a^2*c^3*d^3*e^2 + 10259464192*a^2*c^2*d^5*e - 18022400000*a^2*c^2*e^5 - 1624506368*a^2*c*d^7 - 
    47462400000*a^2*c*d^2*e^4 - 14110720000*a^2*d^4*e^3 + 995328*a*b^11*e^2 + 89088*a*b^10*c*d*e + 120832*a*b^10*d^3 - 
    95232*a*b^9*c^3*e - 592896*a*b^9*c^2*d^2 + 22098432*a*b^9*d*e^2 + 340992*a*b^8*c^4*d - 114309120*a*b^8*c^2*e^2 - 
    8678400*a*b^8*c*d^2*e + 4259840*a*b^8*d^4 - 51200*a*b^7*c^6 + 77158400*a*b^7*c^3*d*e - 20598784*a*b^7*c^2*d^3 - 
    962116608*a*b^7*c*e^3 + 89106432*a*b^7*d^2*e^2 - 16468992*a*b^6*c^5*e + 2046464*a*b^6*c^4*d^2 + 
    1396316672*a*b^6*c^2*d*e^2 - 181497856*a*b^6*c*d^3*e + 8323072*a*b^6*d^5 + 3379737600*a*b^6*e^4 + 1949696*a*b^5*c^6*d - 
    1148383232*a*b^5*c^4*e^2 - 320950272*a*b^5*c^3*d^2*e + 106618880*a*b^5*c^2*d^4 - 1832980480*a*b^5*c*d*e^3 - 
    930021376*a*b^5*d^3*e^2 - 327680*a*b^4*c^8 + 642506752*a*b^4*c^5*d*e - 199327744*a*b^4*c^4*d^3 - 1799065600*a*b^4*c^3*e^3
    + 5038848000*a*b^4*c^2*d^2*e^2 + 627589120*a*b^4*c*d^4*e - 204472320*a*b^4*d^6 - 3298560000*a*b^4*d*e^4 - 
    114720768*a*b^3*c^7*e + 53544960*a*b^3*c^6*d^2 + 30801920*a*b^3*c^4*d*e^2 - 3002163200*a*b^3*c^3*d^3*e + 
    764411904*a*b^3*c^2*d^5 + 25052160000*a*b^3*c^2*e^4 - 30823424000*a*b^3*c*d^2*e^3 - 421888000*a*b^3*d^4*e^2 - 
    2977792*a*b^2*c^8*d - 2046763008*a*b^2*c^6*e^2 + 1619841024*a*b^2*c^5*d^2*e - 585912320*a*b^2*c^4*d^4 - 
    8335360000*a*b^2*c^3*d*e^3 + 32199884800*a*b^2*c^2*d^3*e^2 - 2845638656*a*b^2*c*d^5*e - 45644800000*a*b^2*c*e^5 + 
    209190912*a*b^2*d^7 - 7718400000*a*b^2*d^2*e^4 - 73728*a*b*c^10 + 559333376*a*b*c^7*d*e - 15400960*a*b*c^6*d^3 + 
    4532633600*a*b*c^5*e^3 - 5074329600*a*b*c^4*d^2*e^2 - 8526725120*a*b*c^3*d^4*e + 1293025280*a*b*c^2*d^6 - 
    8755200000*a*b*c^2*d*e^4 + 20172800000*a*b*c*d^3*e^3 + 12415795200*a*b*d^5*e^2 + 15360000000*a*b*e^6 - 132194304*a*c^9*e 
    + 20213760*a*c^8*d^2 - 5384212480*a*c^6*d*e^2 + 5765709824*a*c^5*d^3*e - 942620672*a*c^4*d^5 + 1459200000*a*c^4*e^4 + 
    9338880000*a*c^3*d^2*e^3 - 5496832000*a*c^2*d^4*e^2 - 6026690560*a*c*d^6*e + 38912000000*a*c*d*e^5 + 1224736768*a*d^8 + 
    43878400000*a*d^3*e^4 - 55296*b^12*d*e + 18432*b^11*c^2*e + 43008*b^11*c*d^2 - 26624*b^10*c^3*d + 10137600*b^10*c*e^2 + 
    67584*b^10*d^2*e + 4096*b^9*c^5 - 7377408*b^9*c^2*d*e + 1490944*b^9*c*d^3 + 131208192*b^9*e^3 + 1697280*b^8*c^4*e + 
    103936*b^8*c^3*d^2 - 194308608*b^8*c*d*e^2 + 19464192*b^8*d^3*e - 290304*b^7*c^5*d + 148267008*b^7*c^3*e^2 + 
    56760320*b^7*c^2*d^2*e - 16908288*b^7*c*d^4 - 969871360*b^7*d*e^3 + 44032*b^6*c^7 - 95028736*b^6*c^4*d*e + 
    26908672*b^6*c^3*d^3 + 866470400*b^6*c^2*e^3 + 394237952*b^6*c*d^2*e^2 - 154075136*b^6*d^4*e + 17807360*b^5*c^6*e - 
    6139904*b^5*c^5*d^2 - 960751616*b^5*c^3*d*e^2 + 337035264*b^5*c^2*d^3*e - 19136512*b^5*c*d^5 - 5204736000*b^5*c*e^4 + 
    467968000*b^5*d^2*e^3 - 153600*b^4*c^7*d + 560730112*b^4*c^5*e^2 + 11315200*b^4*c^4*d^2*e - 46243840*b^4*c^3*d^4 + 
    3273984000*b^4*c^2*d*e^3 + 3668172800*b^4*c*d^3*e^2 + 258473984*b^4*d^5*e + 4339200000*b^4*e^5 + 77824*b^3*c^9 - 
    254078976*b^3*c^6*d*e + 97150976*b^3*c^5*d^3 - 275712000*b^3*c^4*e^3 - 6466252800*b^3*c^3*d^2*e^2 - 
    3083632640*b^3*c^2*d^4*e + 502792192*b^3*c*d^6 - 147200000*b^3*c*d*e^4 + 11714560000*b^3*d^3*e^3 + 48795648*b^2*c^8*e - 
    31111168*b^2*c^7*d^2 + 2398218240*b^2*c^5*d*e^2 + 4670566400*b^2*c^4*d^3*e - 811433984*b^2*c^3*d^5 - 
    12492800000*b^2*c^3*e^4 + 18923520000*b^2*c^2*d^2*e^3 - 18345984000*b^2*c*d^4*e^2 + 883425280*b^2*d^6*e + 
    2624000000*b^2*d*e^5 + 3612672*b*c^9*d + 245452800*b*c^7*e^2 - 2536235008*b*c^6*d^2*e + 485875712*b*c^5*d^4 - 
    3409920000*b*c^4*d*e^3 - 5879808000*b*c^3*d^3*e^2 + 8968601600*b*c^2*d^5*e + 35840000000*b*c^2*e^5 - 1317011456*b*c*d^7 +
    6835200000*b*c*d^2*e^4 - 21708800000*b*d^4*e^3 - 221184*c^11 + 321859584*c^8*d*e - 69787648*c^7*d^3 - 856576000*c^6*e^3 +
    6763520000*c^5*d^2*e^2 - 5006540800*c^4*d^4*e + 775159808*c^3*d^6 - 3993600000*c^3*d*e^4 - 13721600000*c^2*d^3*e^3 + 
    14123008000*c*d^5*e^2 - 25600000000*c*e^6 - 2097152000*d^7*e - 32000000000*d^2*e^5
;
M[2][4,2] :=
                                -M[2][2,4];
M[3][2,4] :=
-12582912*a^10*b*e^4 + 6291456*a^10*c*d*e^3 + 2359296*a^10*d^3*e^2 + 10223616*a^9*b^2*d*e^3 - 66060288*a^9*b*c^2*e^3 - 
    3538944*a^9*b*c*d^2*e^2 - 1179648*a^9*b*d^4*e - 11010048*a^9*c^3*d*e^2 + 14548992*a^9*c^2*d^3*e - 2654208*a^9*c*d^5 + 
    392167424*a^9*c*e^4 - 87818240*a^9*d^2*e^3 + 46006272*a^8*b^3*c*e^3 - 3833856*a^8*b^3*d^2*e^2 + 
    60162048*a^8*b^2*c^2*d*e^2 - 10027008*a^8*b^2*c*d^3*e + 1142784*a^8*b^2*d^5 + 11796480*a^8*b^2*e^4 + 
    38535168*a^8*b*c^4*e^2 - 51707904*a^8*b*c^3*d^2*e + 9191424*a^8*b*c^2*d^4 - 277610496*a^8*b*c*d*e^3 + 
    22806528*a^8*b*d^3*e^2 + 2228224*a^8*c^5*d*e - 376832*a^8*c^4*d^3 - 308805632*a^8*c^3*e^3 + 239075328*a^8*c^2*d^2*e^2 - 
    105480192*a^8*c*d^4*e + 12165120*a^8*d^6 - 567541760*a^8*d*e^4 - 8552448*a^7*b^5*e^3 - 37748736*a^7*b^4*c*d*e^2 + 
    2777088*a^7*b^4*d^3*e - 68616192*a^7*b^3*c^3*e^2 + 44089344*a^7*b^3*c^2*d^2*e - 6162432*a^7*b^3*c*d^4 - 
    36896768*a^7*b^3*d*e^3 + 21479424*a^7*b^2*c^4*d*e - 3932160*a^7*b^2*c^3*d^3 + 1123811328*a^7*b^2*c^2*e^3 - 
    128876544*a^7*b^2*c*d^2*e^2 + 43880448*a^7*b^2*d^4*e - 5046272*a^7*b*c^6*e + 696320*a^7*b*c^5*d^2 - 
    2752512*a^7*b*c^3*d*e^2 + 27721728*a^7*b*c^2*d^3*e + 6684672*a^7*b*c*d^5 - 4131258368*a^7*b*c*e^4 + 
    1593442304*a^7*b*d^2*e^3 + 32768*a^7*c^7*d + 78774272*a^7*c^5*e^2 - 78954496*a^7*c^4*d^2*e + 12795904*a^7*c^3*d^4 + 
    1416757248*a^7*c^2*d*e^3 - 267190272*a^7*c*d^3*e^2 + 74121216*a^7*d^5*e - 504627200*a^7*e^5 + 6746112*a^6*b^6*d*e^2 + 
    42172416*a^6*b^5*c^2*e^2 - 11980800*a^6*b^5*c*d^2*e + 927744*a^6*b^5*d^4 - 23347200*a^6*b^4*c^3*d*e + 
    3280896*a^6*b^4*c^2*d^3 - 645300224*a^6*b^4*c*e^3 + 65273856*a^6*b^4*d^2*e^2 + 5365760*a^6*b^3*c^5*e - 
    1026048*a^6*b^3*c^4*d^2 - 529367040*a^6*b^3*c^2*d*e^2 - 2023424*a^6*b^3*c*d^3*e - 7788544*a^6*b^3*d^5 + 
    719290368*a^6*b^3*e^4 + 344064*a^6*b^2*c^6*d - 479182848*a^6*b^2*c^4*e^2 + 493043712*a^6*b^2*c^3*d^2*e - 
    100098048*a^6*b^2*c^2*d^4 + 1034551296*a^6*b^2*c*d*e^3 - 556965888*a^6*b^2*d^3*e^2 - 65536*a^6*b*c^8 + 
    23281664*a^6*b*c^5*d*e - 966656*a^6*b*c^4*d^3 + 1459159040*a^6*b*c^3*e^3 - 2796650496*a^6*b*c^2*d^2*e^2 + 
    902455296*a^6*b*c*d^4*e - 142614528*a^6*b*d^6 + 6716129280*a^6*b*d*e^4 - 6520832*a^6*c^7*e + 1384448*a^6*c^6*d^2 - 
    633815040*a^6*c^4*d*e^2 + 631898112*a^6*c^3*d^3*e - 108453888*a^6*c^2*d^5 + 4980736000*a^6*c^2*e^4 - 
    3926458368*a^6*c*d^2*e^3 - 73457664*a^6*d^4*e^2 - 10930176*a^5*b^7*c*e^2 + 884736*a^5*b^7*d^2*e + 8331264*a^5*b^6*c^2*d*e
    - 755712*a^5*b^6*c*d^3 + 106958848*a^5*b^6*e^3 - 1984512*a^5*b^5*c^4*e + 964608*a^5*b^5*c^3*d^2 + 
    355147776*a^5*b^5*c*d*e^2 - 12742656*a^5*b^5*d^3*e - 579584*a^5*b^4*c^5*d + 702136320*a^5*b^4*c^3*e^2 - 
    364351488*a^5*b^4*c^2*d^2*e + 66275328*a^5*b^4*c*d^4 - 10084352*a^5*b^4*d*e^3 + 98304*a^5*b^3*c^7 - 
    230436864*a^5*b^3*c^4*d*e + 50098176*a^5*b^3*c^3*d^3 - 5114544128*a^5*b^3*c^2*e^3 + 2013499392*a^5*b^3*c*d^2*e^2 - 
    267286528*a^5*b^3*d^4*e + 49569792*a^5*b^2*c^6*e - 13031424*a^5*b^2*c^5*d^2 + 2571436032*a^5*b^2*c^3*d*e^2 - 
    1454137344*a^5*b^2*c^2*d^3*e + 229158912*a^5*b^2*c*d^5 + 12427427840*a^5*b^2*c*e^4 - 9201311744*a^5*b^2*d^2*e^3 + 
    327680*a^5*b*c^7*d + 33628160*a^5*b*c^5*e^2 - 367009792*a^5*b*c^4*d^2*e + 69124096*a^5*b*c^3*d^4 - 
    11039604736*a^5*b*c^2*d*e^3 + 5299077120*a^5*b*c*d^3*e^2 - 530325504*a^5*b*d^5*e + 3112960000*a^5*b*e^5 + 
    56262656*a^5*c^6*d*e - 12156928*a^5*c^5*d^3 - 3083354112*a^5*c^4*e^3 + 4534468608*a^5*c^3*d^2*e^2 - 
    2607874048*a^5*c^2*d^4*e + 376881152*a^5*c*d^6 - 12023398400*a^5*c*d*e^4 + 3577937920*a^5*d^3*e^3 + 1013760*a^4*b^9*e^2 -
    1087488*a^4*b^8*c*d*e + 50688*a^4*b^8*d^3 + 282624*a^4*b^7*c^3*e - 502272*a^4*b^7*c^2*d^2 - 63436800*a^4*b^7*d*e^2 + 
    325632*a^4*b^6*c^4*d - 397148160*a^4*b^6*c^2*e^2 + 89880576*a^4*b^6*c*d^2*e - 10054144*a^4*b^6*d^4 - 53248*a^4*b^5*c^6 + 
    206610432*a^4*b^5*c^3*d*e - 42196992*a^4*b^5*c^2*d^3 + 2779615232*a^4*b^5*c*e^3 - 503881728*a^4*b^5*d^2*e^2 - 
    45060096*a^4*b^4*c^5*e + 12208128*a^4*b^4*c^4*d^2 - 50565120*a^4*b^4*c^2*d*e^2 + 538738688*a^4*b^4*c*d^3*e - 
    23429120*a^4*b^4*d^5 - 3106406400*a^4*b^4*e^4 - 1712128*a^4*b^3*c^6*d + 708392960*a^4*b^3*c^4*e^2 - 
    621780992*a^4*b^3*c^3*d^2*e + 146761728*a^4*b^3*c^2*d^4 + 2944245760*a^4*b^3*c*d*e^3 + 2324664320*a^4*b^3*d^3*e^2 + 
    262144*a^4*b^2*c^8 + 49090560*a^4*b^2*c^5*d*e - 15583232*a^4*b^2*c^4*d^3 + 4984422400*a^4*b^2*c^3*e^3 + 
    3661946880*a^4*b^2*c^2*d^2*e^2 - 1729536000*a^4*b^2*c*d^4*e + 454483968*a^4*b^2*d^6 - 23183872000*a^4*b^2*d*e^4 - 
    23683072*a^4*b*c^7*e + 1859584*a^4*b*c^6*d^2 + 646348800*a^4*b*c^4*d*e^2 - 109527040*a^4*b*c^3*d^3*e + 
    77651968*a^4*b*c^2*d^5 - 30537728000*a^4*b*c^2*e^4 + 34703360000*a^4*b*c*d^2*e^3 - 2174238720*a^4*b*d^4*e^2 + 
    237568*a^4*c^8*d + 630218752*a^4*c^6*e^2 - 668229632*a^4*c^5*d^2*e + 112054272*a^4*c^4*d^4 + 15410790400*a^4*c^3*d*e^3 - 
    8739799040*a^4*c^2*d^3*e^2 + 3328344064*a^4*c*d^5*e + 921600000*a^4*c*e^5 - 335478784*a^4*d^7 + 4418560000*a^4*d^2*e^4 + 
    32256*a^3*b^10*d*e - 10752*a^3*b^9*c^2*e + 115200*a^3*b^9*c*d^2 - 75264*a^3*b^8*c^3*d + 96817152*a^3*b^8*c*e^2 - 
    5623296*a^3*b^8*d^2*e + 12288*a^3*b^7*c^5 - 65332224*a^3*b^7*c^2*d*e + 10606592*a^3*b^7*c*d^3 - 430864384*a^3*b^7*e^3 + 
    14794752*a^3*b^6*c^4*e - 5997056*a^3*b^6*c^3*d^2 - 677750784*a^3*b^6*c*d*e^2 - 12275712*a^3*b^6*d^3*e + 
    2467840*a^3*b^5*c^5*d - 1448749056*a^3*b^5*c^3*e^2 + 644696064*a^3*b^5*c^2*d^2*e - 159006720*a^3*b^5*c*d^4 - 
    420147200*a^3*b^5*d*e^3 - 409600*a^3*b^4*c^7 + 430348288*a^3*b^4*c^4*d*e - 116967424*a^3*b^4*c^3*d^3 + 
    4444385280*a^3*b^4*c^2*e^3 - 6014914560*a^3*b^4*c*d^2*e^2 + 420126720*a^3*b^4*d^4*e - 80869376*a^3*b^3*c^6*e + 
    34236416*a^3*b^3*c^5*d^2 - 9321369600*a^3*b^3*c^3*d*e^2 + 4016148480*a^3*b^3*c^2*d^3*e - 954236928*a^3*b^3*c*d^5 - 
    5930240000*a^3*b^3*c*e^4 + 19158732800*a^3*b^3*d^2*e^3 + 604160*a^3*b^2*c^7*d - 2558629888*a^3*b^2*c^5*e^2 + 
    2943457280*a^3*b^2*c^4*d^2*e - 581009408*a^3*b^2*c^3*d^4 + 7123558400*a^3*b^2*c^2*d*e^3 - 19745464320*a^3*b^2*c*d^3*e^2 +
    668860416*a^3*b^2*d^5*e - 5926400000*a^3*b^2*e^5 - 475136*a^3*b*c^9 + 113655808*a^3*b*c^6*d*e + 11710464*a^3*b*c^5*d^3 + 
    7989452800*a^3*b*c^4*e^3 - 23174676480*a^3*b*c^3*d^2*e^2 + 10157178880*a^3*b*c^2*d^4*e - 1826750464*a^3*b*c*d^6 + 
    71495680000*a^3*b*c*d*e^4 - 27281408000*a^3*b*d^3*e^3 - 44679168*a^3*c^8*e + 9195520*a^3*c^7*d^2 - 
    4587274240*a^3*c^5*d*e^2 + 4351467520*a^3*c^4*d^3*e - 727384064*a^3*c^3*d^5 + 13281280000*a^3*c^3*e^4 - 
    36388864000*a^3*c^2*d^2*e^3 + 3044966400*a^3*c*d^4*e^2 - 825753600*a^3*d^6*e - 2048000000*a^3*d*e^5 - 9216*a^2*b^11*d^2 +
    6144*a^2*b^10*c^2*d - 8478720*a^2*b^10*e^2 - 1024*a^2*b^9*c^4 + 7323648*a^2*b^9*c*d*e - 836608*a^2*b^9*d^3 - 
    1794048*a^2*b^8*c^3*e + 2279424*a^2*b^8*c^2*d^2 + 156086784*a^2*b^8*d*e^2 - 1377280*a^2*b^7*c^4*d + 
    881094144*a^2*b^7*c^2*e^2 - 166643712*a^2*b^7*c*d^2*e + 27029504*a^2*b^7*d^4 + 225280*a^2*b^6*c^6 - 
    419140608*a^2*b^6*c^3*d*e + 118461440*a^2*b^6*c^2*d^3 - 3506960384*a^2*b^6*c*e^3 + 1401744384*a^2*b^6*d^2*e^2 + 
    85643264*a^2*b^5*c^5*e - 28086272*a^2*b^5*c^4*d^2 + 5198954496*a^2*b^5*c^2*d*e^2 - 1486585856*a^2*b^5*c*d^3*e + 
    174276608*a^2*b^5*d^5 + 3245414400*a^2*b^5*e^4 - 2646016*a^2*b^4*c^6*d + 3361402880*a^2*b^4*c^4*e^2 - 
    2047139840*a^2*b^4*c^3*d^2*e + 566034432*a^2*b^4*c^2*d^4 - 9669017600*a^2*b^4*c*d*e^3 - 3014533120*a^2*b^4*d^3*e^2 + 
    708608*a^2*b^3*c^8 - 1108443136*a^2*b^3*c^5*d*e + 214689792*a^2*b^3*c^4*d^3 - 20017561600*a^2*b^3*c^3*e^3 + 
    23082393600*a^2*b^3*c^2*d^2*e^2 + 396984320*a^2*b^3*c*d^4*e - 331808768*a^2*b^3*d^6 + 21699840000*a^2*b^3*d*e^4 + 
    255492096*a^2*b^2*c^7*e - 81991680*a^2*b^2*c^6*d^2 + 20238858240*a^2*b^2*c^4*d*e^2 - 13920583680*a^2*b^2*c^3*d^3*e + 
    2793553920*a^2*b^2*c^2*d^5 + 39608320000*a^2*b^2*c^2*e^4 - 70893568000*a^2*b^2*c*d^2*e^3 + 14874624000*a^2*b^2*d^4*e^2 + 
    3747840*a^2*b*c^8*d + 385253376*a^2*b*c^6*e^2 - 2223673344*a^2*b*c^5*d^2*e + 334520320*a^2*b*c^4*d^4 - 
    42076160000*a^2*b*c^3*d*e^3 + 63407718400*a^2*b*c^2*d^3*e^2 - 14246739968*a^2*b*c*d^5*e - 11494400000*a^2*b*c*e^5 + 
    1914699776*a^2*b*d^7 - 21529600000*a^2*b*d^2*e^4 + 336642048*a^2*c^7*d*e - 76898304*a^2*c^6*d^3 - 5850521600*a^2*c^5*e^3 
    + 23113113600*a^2*c^4*d^2*e^2 - 16638279680*a^2*c^3*d^4*e + 2658795520*a^2*c^2*d^6 - 38067200000*a^2*c^2*d*e^4 + 
    47923200000*a^2*c*d^3*e^3 + 1051852800*a^2*d^5*e^2 - 5760000000*a^2*e^6 - 129024*a*b^11*d*e + 43008*a*b^10*c^2*e - 
    479232*a*b^10*c*d^2 + 313344*a*b^9*c^3*d - 213109248*a*b^9*c*e^2 + 8189952*a*b^9*d^2*e - 51200*a*b^8*c^5 + 
    125354496*a*b^8*c^2*d*e - 31600640*a*b^8*c*d^3 + 558749184*a*b^8*e^3 - 26503680*a*b^7*c^4*e + 5419008*a*b^7*c^3*d^2 - 
    631203840*a*b^7*c*d*e^2 + 68935680*a*b^7*d^3*e + 1763840*a*b^6*c^5*d - 1416196608*a*b^6*c^3*e^2 + 
    352419840*a*b^6*c^2*d^2*e - 61849600*a*b^6*c*d^4 + 1495818240*a*b^6*d*e^3 - 327680*a*b^5*c^7 + 699103232*a*b^5*c^4*d*e - 
    197206016*a*b^5*c^3*d^3 + 7885568000*a*b^5*c^2*e^3 - 806191104*a*b^5*c*d^2*e^2 - 2981888*a*b^5*d^4*e - 
    152061952*a*b^4*c^6*e + 61272064*a*b^4*c^5*d^2 - 10422896640*a*b^4*c^3*d*e^2 + 1485086720*a*b^4*c^2*d^3*e + 
    12255232*a*b^4*c*d^5 - 12215040000*a*b^4*c*e^4 - 10736640000*a*b^4*d^2*e^3 - 3053568*a*b^3*c^7*d - 
    1247154176*a*b^3*c^5*e^2 + 3544115200*a*b^3*c^4*d^2*e - 1011875840*a*b^3*c^3*d^4 + 40549888000*a*b^3*c^2*d*e^3 - 
    1996390400*a*b^3*c*d^3*e^2 + 452067328*a*b^3*d^5*e + 5894400000*a*b^3*e^5 - 73728*a*b^2*c^9 + 33257472*a*b^2*c^6*d*e + 
    114495488*a*b^2*c^5*d^3 + 11578112000*a*b^2*c^4*e^3 - 34755379200*a*b^2*c^3*d^2*e^2 + 5240586240*a*b^2*c^2*d^4*e - 
    837025792*a*b^2*c*d^6 - 82342400000*a*b^2*c*d*e^4 + 45424640000*a*b^2*d^3*e^3 - 123088896*a*b*c^8*e + 
    16306176*a*b*c^7*d^2 - 8385884160*a*b*c^5*d*e^2 + 11769241600*a*b*c^4*d^3*e - 2087845888*a*b*c^3*d^5 - 
    28620800000*a*b*c^3*e^4 + 88709120000*a*b*c^2*d^2*e^3 - 52445184000*a*b*c*d^4*e^2 + 1761607680*a*b*d^6*e + 
    31104000000*a*b*d*e^5 + 110592*a*c^9*d + 601804800*a*c^7*e^2 - 1167335424*a*c^6*d^2*e + 245252096*a*c^5*d^4 + 
    24407040000*a*c^4*d*e^3 - 51011584000*a*c^3*d^3*e^2 + 27577548800*a*c^2*d^5*e + 20480000000*a*c^2*e^5 - 
    3972005888*a*c*d^7 + 5273600000*a*c*d^2*e^4 - 26214400000*a*d^4*e^3 + 36864*b^12*d^2 - 24576*b^11*c^2*d + 
    17694720*b^11*e^2 + 4096*b^10*c^4 - 11636736*b^10*c*d*e + 2572288*b^10*d^3 + 2568192*b^9*c^3*e - 230400*b^9*c^2*d^2 - 
    39404544*b^9*d*e^2 - 268288*b^8*c^4*d + 187120128*b^8*c^2*e^2 + 12668928*b^8*c*d^2*e - 4980736*b^8*d^4 + 44032*b^7*c^6 - 
    115488768*b^7*c^3*d*e + 30339072*b^7*c^2*d^3 - 775751680*b^7*c*e^3 - 640684032*b^7*d^2*e^2 + 24065024*b^6*c^5*e - 
    7721472*b^6*c^4*d^2 + 1255590912*b^6*c^2*d*e^2 + 335298560*b^6*c*d^3*e - 84934656*b^6*d^5 + 642240000*b^6*e^4 - 
    114688*b^5*c^6*d + 373766144*b^5*c^4*e^2 - 684130304*b^5*c^3*d^2*e + 131284992*b^5*c^2*d^4 - 4234035200*b^5*c*d*e^3 + 
    3879157760*b^5*d^3*e^2 + 77824*b^4*c^8 - 97083392*b^4*c^5*d*e + 50995200*b^4*c^4*d^3 - 2877952000*b^4*c^3*e^3 - 
    585523200*b^4*c^2*d^2*e^2 - 2721382400*b^4*c*d^4*e + 372244480*b^4*d^6 + 2380800000*b^4*d*e^4 + 44666880*b^3*c^7*e - 
    28391424*b^3*c^6*d^2 + 4717568000*b^3*c^4*d*e^2 + 1717207040*b^3*c^3*d^3*e - 265486336*b^3*c^2*d^5 + 
    6265600000*b^3*c^2*e^4 + 14561280000*b^3*c*d^2*e^3 - 11001856000*b^3*d^4*e^2 + 3502080*b^2*c^8*d - 141434880*b^2*c^6*e^2 
    - 2366595072*b^2*c^5*d^2*e + 457400320*b^2*c^4*d^4 - 28436480000*b^2*c^3*d*e^3 + 9041920000*b^2*c^2*d^3*e^2 + 
    6746275840*b^2*c*d^5*e - 3968000000*b^2*c*e^5 - 1010827264*b^2*d^7 - 2483200000*b^2*d^2*e^4 - 221184*b*c^10 + 
    433631232*b*c^7*d*e - 95887360*b*c^6*d^3 + 212480000*b*c^5*e^3 + 15286272000*b*c^4*d^2*e^2 - 12392857600*b*c^3*d^4*e + 
    1986002944*b*c^2*d^6 + 63411200000*b*c^2*d*e^4 - 63897600000*b*c*d^3*e^3 + 19660800000*b*d^5*e^2 - 8626176*c^9*e + 
    2101248*c^8*d^2 - 1218355200*c^6*d*e^2 + 1151631360*c^5*d^3*e - 208863232*c^4*d^5 - 345600000*c^4*e^4 - 
    25804800000*c^3*d^2*e^3 + 36290560000*c^2*d^4*e^2 - 15623782400*c*d^6*e - 43520000000*c*d*e^5 + 2013265920*d^8 + 
    29696000000*d^3*e^4
;
M[3][4,2] :=
                                -M[3][2,4];
M[4][2,4] :=
-16777216*a^11*e^4 + 16777216*a^10*b*d*e^3 - 83886080*a^10*c^2*e^3 + 6291456*a^10*c*d^2*e^2 + 58720256*a^9*b^2*c*e^3 - 
    8650752*a^9*b^2*d^2*e^2 + 56623104*a^9*b*c^2*d*e^2 - 3145728*a^9*b*c*d^3*e + 213909504*a^9*b*e^4 + 44040192*a^9*c^4*e^2 -
    47185920*a^9*c^3*d^2*e + 8257536*a^9*c^2*d^4 + 140509184*a^9*c*d*e^3 - 18087936*a^9*d^3*e^2 - 11010048*a^8*b^4*e^3 - 
    40108032*a^8*b^3*c*d*e^2 + 2228224*a^8*b^3*d^3*e - 80216064*a^8*b^2*c^3*e^2 + 41287680*a^8*b^2*c^2*d^2*e - 
    5799936*a^8*b^2*c*d^4 - 256114688*a^8*b^2*d*e^3 + 25165824*a^8*b*c^4*d*e - 4718592*a^8*b*c^3*d^3 + 
    894435328*a^8*b*c^2*e^3 - 150601728*a^8*b*c*d^2*e^2 + 9043968*a^8*b*d^4*e - 5242880*a^8*c^6*e + 917504*a^8*c^5*d^2 - 
    158859264*a^8*c^3*d*e^2 + 133300224*a^8*c^2*d^3*e - 17399808*a^8*c*d^5 - 4194304*a^8*c*e^4 + 50593792*a^8*d^2*e^3 + 
    7667712*a^7*b^5*d*e^2 + 50135040*a^7*b^4*c^2*e^2 - 11304960*a^7*b^4*c*d^2*e + 948224*a^7*b^4*d^4 - 
    25559040*a^7*b^3*c^3*d*e + 3964928*a^7*b^3*c^2*d^3 - 605159424*a^7*b^3*c*e^3 + 131235840*a^7*b^3*d^2*e^2 + 
    5505024*a^7*b^2*c^5*e - 1327104*a^7*b^2*c^4*d^2 - 371589120*a^7*b^2*c^2*d*e^2 - 55246848*a^7*b^2*c*d^3*e + 
    5394432*a^7*b^2*d^5 - 1096810496*a^7*b^2*e^4 + 393216*a^7*b*c^6*d - 371982336*a^7*b*c^4*e^2 + 363134976*a^7*b*c^3*d^2*e -
    74465280*a^7*b*c^2*d^4 - 1492910080*a^7*b*c*d*e^3 + 145096704*a^7*b*d^3*e^2 - 65536*a^7*c^8 + 7995392*a^7*c^5*d*e + 
    1490944*a^7*c^4*d^3 - 1227358208*a^7*c^3*e^3 + 341180416*a^7*c^2*d^2*e^2 - 134184960*a^7*c*d^4*e - 3244032*a^7*d^6 + 
    546570240*a^7*d*e^4 - 13172736*a^6*b^6*c*e^2 + 774144*a^6*b^6*d^2*e + 8749056*a^6*b^5*c^2*d*e - 1003520*a^6*b^5*c*d^3 + 
    110592000*a^6*b^5*e^3 - 1966080*a^6*b^4*c^4*e + 1105920*a^6*b^4*c^3*d^2 + 310247424*a^6*b^4*c*d*e^2 - 
    11059200*a^6*b^4*d^3*e - 606208*a^6*b^3*c^5*d + 674562048*a^6*b^3*c^3*e^2 - 306659328*a^6*b^3*c^2*d^2*e + 
    54740992*a^6*b^3*c*d^4 + 1509359616*a^6*b^3*d*e^3 + 98304*a^6*b^2*c^7 - 216809472*a^6*b^2*c^4*d*e + 
    48070656*a^6*b^2*c^3*d^3 - 2279866368*a^6*b^2*c^2*e^3 + 877756416*a^6*b^2*c*d^2*e^2 - 26062848*a^6*b^2*d^4*e + 
    43188224*a^6*b*c^6*e - 12492800*a^6*b*c^5*d^2 + 2020081664*a^6*b*c^3*d*e^2 - 1116471296*a^6*b*c^2*d^3*e + 
    202530816*a^6*b*c*d^5 - 619315200*a^6*b*c*e^4 - 918290432*a^6*b*d^2*e^3 + 491520*a^6*c^7*d + 541327360*a^6*c^5*e^2 - 
    569229312*a^6*c^4*d^2*e + 90570752*a^6*c^3*d^4 + 3215065088*a^6*c^2*d*e^3 - 174129152*a^6*c*d^3*e^2 + 108675072*a^6*d^5*e
    - 1736704000*a^6*e^5 + 1234944*a^5*b^8*e^2 - 1044480*a^5*b^7*c*d*e + 79872*a^5*b^7*d^3 + 253952*a^5*b^6*c^3*e - 
    528384*a^5*b^6*c^2*d^2 - 62509056*a^5*b^6*d*e^2 + 331776*a^5*b^5*c^4*d - 412286976*a^5*b^5*c^2*e^2 + 
    81813504*a^5*b^5*c*d^2*e - 9127936*a^5*b^5*d^4 - 53248*a^5*b^4*c^6 + 204472320*a^5*b^4*c^3*d*e - 42926080*a^5*b^4*c^2*d^3
    + 1841954816*a^5*b^4*c*e^3 - 703057920*a^5*b^4*d^2*e^2 - 42868736*a^5*b^3*c^5*e + 13076480*a^5*b^3*c^4*d^2 - 
    278921216*a^5*b^3*c^2*d*e^2 + 574332928*a^5*b^3*c*d^3*e - 62777344*a^5*b^3*d^5 + 3052830720*a^5*b^3*e^4 - 
    1966080*a^5*b^2*c^6*d - 75825152*a^5*b^2*c^4*e^2 - 218710016*a^5*b^2*c^3*d^2*e + 72589312*a^5*b^2*c^2*d^4 + 
    4344774656*a^5*b^2*c*d*e^3 - 173236224*a^5*b^2*d^3*e^2 + 262144*a^5*b*c^8 + 234373120*a^5*b*c^5*d*e - 
    50012160*a^5*b*c^4*d^3 + 8190230528*a^5*b*c^3*e^3 - 5039357952*a^5*b*c^2*d^2*e^2 + 961675264*a^5*b*c*d^4*e - 
    14082048*a^5*b*d^6 - 1497497600*a^5*b*d*e^4 - 59277312*a^5*c^7*e + 10764288*a^5*c^6*d^2 - 2513747968*a^5*c^4*d*e^2 + 
    2241593344*a^5*c^3*d^3*e - 342769664*a^5*c^2*d^5 + 1074790400*a^5*c^2*e^4 - 1868759040*a^5*c*d^2*e^3 - 
    55623680*a^5*d^4*e^2 + 18432*a^4*b^9*d*e - 6144*a^4*b^8*c^2*e + 116736*a^4*b^8*c*d^2 - 75776*a^4*b^7*c^3*d + 
    105043968*a^4*b^7*c*e^2 - 5019648*a^4*b^7*d^2*e + 12288*a^4*b^6*c^5 - 65433600*a^4*b^6*c^2*d*e + 11452416*a^4*b^6*c*d^3 -
    350461952*a^4*b^6*e^3 + 14260224*a^4*b^5*c^4*e - 6629376*a^4*b^5*c^3*d^2 - 455798784*a^4*b^5*c*d*e^2 - 
    1576960*a^4*b^5*d^3*e + 2607104*a^4*b^4*c^5*d - 1007329280*a^4*b^4*c^3*e^2 + 440135680*a^4*b^4*c^2*d^2*e - 
    112744448*a^4*b^4*c*d^4 - 4082647040*a^4*b^4*d*e^3 - 409600*a^4*b^3*c^7 + 263557120*a^4*b^3*c^4*d*e - 
    84570112*a^4*b^3*c^3*d^3 - 2001715200*a^4*b^3*c^2*e^3 - 382914560*a^4*b^3*c*d^2*e^2 - 166471680*a^4*b^3*d^4*e - 
    43450368*a^4*b^2*c^6*e + 24705024*a^4*b^2*c^5*d^2 - 3404431360*a^4*b^2*c^3*d*e^2 + 1447403520*a^4*b^2*c^2*d^3*e - 
    510562304*a^4*b^2*c*d^5 + 3309568000*a^4*b^2*c*e^4 + 3748864000*a^4*b^2*d^2*e^3 + 827392*a^4*b*c^7*d - 
    2330566656*a^4*b*c^5*e^2 + 1661501440*a^4*b*c^4*d^2*e - 302776320*a^4*b*c^3*d^4 - 21214003200*a^4*b*c^2*d*e^3 + 
    2930196480*a^4*b*c*d^3*e^2 - 756899840*a^4*b*d^5*e + 11059200000*a^4*b*e^5 - 475136*a^4*c^9 + 149569536*a^4*c^6*d*e - 
    9625600*a^4*c^5*d^3 - 4768153600*a^4*c^4*e^3 + 4818862080*a^4*c^3*d^2*e^2 - 2921431040*a^4*c^2*d^4*e + 
    248889344*a^4*c*d^6 + 2560000000*a^4*c*d*e^4 - 667648000*a^4*d^3*e^3 - 9216*a^3*b^10*d^2 + 6144*a^3*b^9*c^2*d - 
    9474048*a^3*b^9*e^2 - 1024*a^3*b^8*c^4 + 7016448*a^3*b^8*c*d*e - 969216*a^3*b^8*d^3 - 1628160*a^3*b^7*c^3*e + 
    2409984*a^3*b^7*c^2*d^2 + 133398528*a^3*b^7*d*e^2 - 1409024*a^3*b^6*c^4*d + 777809920*a^3*b^6*c^2*e^2 - 
    143130624*a^3*b^6*c*d^2*e + 22149120*a^3*b^6*d^4 + 225280*a^3*b^5*c^6 - 360566784*a^3*b^5*c^3*d*e + 
    106356736*a^3*b^5*c^2*d^3 - 916242432*a^3*b^5*c*e^3 + 1419681792*a^3*b^5*d^2*e^2 + 72237056*a^3*b^4*c^5*e - 
    25157632*a^3*b^4*c^4*d^2 + 2782986240*a^3*b^4*c^2*d*e^2 - 1176289280*a^3*b^4*c*d^3*e + 191455232*a^3*b^4*d^5 - 
    5003520000*a^3*b^4*e^4 - 2605056*a^3*b^3*c^6*d + 3642705920*a^3*b^3*c^4*e^2 - 1471406080*a^3*b^3*c^3*d^2*e + 
    412160000*a^3*b^3*c^2*d^4 - 54681600*a^3*b^3*c*d*e^3 - 1166479360*a^3*b^3*d^3*e^2 + 708608*a^3*b^2*c^8 - 
    1205710848*a^3*b^2*c^5*d*e + 245217280*a^3*b^2*c^4*d^3 - 10133913600*a^3*b^2*c^3*e^3 + 14851153920*a^3*b^2*c^2*d^2*e^2 - 
    562053120*a^3*b^2*c*d^4*e + 98861056*a^3*b^2*d^6 - 6141440000*a^3*b^2*d*e^4 + 241762304*a^3*b*c^7*e - 
    80572416*a^3*b*c^6*d^2 + 12432793600*a^3*b*c^4*d*e^2 - 8809840640*a^3*b*c^3*d^3*e + 1863729152*a^3*b*c^2*d^5 - 
    10455040000*a^3*b*c^2*e^4 + 10293248000*a^3*b*c*d^2*e^3 + 934297600*a^3*b*d^4*e^2 + 3948544*a^3*c^8*d + 
    1656946688*a^3*c^6*e^2 - 1775009792*a^3*c^5*d^2*e + 218931200*a^3*c^4*d^4 + 15826944000*a^3*c^3*d*e^3 - 
    1990656000*a^3*c^2*d^3*e^2 + 1920270336*a^3*c*d^5*e - 10547200000*a^3*c*e^5 + 41156608*a^3*d^7 - 2662400000*a^3*d^2*e^4 -
    59904*a^2*b^10*d*e + 19968*a^2*b^9*c^2*e - 486912*a^2*b^9*c*d^2 + 315904*a^2*b^8*c^3*d - 206979072*a^2*b^8*c*e^2 + 
    7577088*a^2*b^8*d^2*e - 51200*a^2*b^7*c^5 + 118236160*a^2*b^7*c^2*d*e - 30586880*a^2*b^7*c*d^3 + 298708992*a^2*b^7*e^3 - 
    24604672*a^2*b^6*c^4*e + 5456384*a^2*b^6*c^3*d^2 - 520048640*a^2*b^6*c*d*e^2 + 29931520*a^2*b^6*d^3*e + 
    1673216*a^2*b^5*c^5*d - 1661736960*a^2*b^5*c^3*e^2 + 394217472*a^2*b^5*c^2*d^2*e - 72368128*a^2*b^5*c*d^4 + 
    4524011520*a^2*b^5*d*e^3 - 327680*a^2*b^4*c^7 + 781629440*a^2*b^4*c^4*d*e - 213739520*a^2*b^4*c^3*d^3 + 
    8293683200*a^2*b^4*c^2*e^3 - 4982476800*a^2*b^4*c*d^2*e^2 + 468049920*a^2*b^4*d^4*e - 165861376*a^2*b^3*c^6*e + 
    65914880*a^2*b^3*c^5*d^2 - 10481233920*a^2*b^3*c^3*d*e^2 + 2686341120*a^2*b^3*c^2*d^3*e - 313622528*a^2*b^3*c*d^5 - 
    1114880000*a^2*b^3*c*e^4 - 3428864000*a^2*b^3*d^2*e^3 - 3368960*a^2*b^2*c^7*d - 1977673728*a^2*b^2*c^5*e^2 + 
    3426785280*a^2*b^2*c^4*d^2*e - 942817280*a^2*b^2*c^3*d^4 + 29875200000*a^2*b^2*c^2*d*e^3 - 11125350400*a^2*b^2*c*d^3*e^2 
    + 822247424*a^2*b^2*d^5*e - 17548800000*a^2*b^2*e^5 - 73728*a^2*b*c^9 + 305397760*a^2*b*c^6*d*e + 53313536*a^2*b*c^5*d^3 
    + 13518848000*a^2*b*c^4*e^3 - 31362662400*a^2*b*c^3*d^2*e^2 + 9628631040*a^2*b*c^2*d^4*e - 1861877760*a^2*b*c*d^6 + 
    13900800000*a^2*b*c*d*e^4 + 3942400000*a^2*b*d^3*e^3 - 163086336*a^2*c^8*e + 26136576*a^2*c^7*d^2 - 
    9150586880*a^2*c^5*d*e^2 + 8489656320*a^2*c^4*d^3*e - 1331625984*a^2*c^3*d^5 + 2867200000*a^2*c^3*e^4 - 
    18575360000*a^2*c^2*d^2*e^3 - 3272704000*a^2*c*d^4*e^2 - 1078722560*a^2*d^6*e + 19712000000*a^2*d*e^5 + 36864*a*b^11*d^2 
    - 24576*a*b^10*c^2*d + 18150912*a*b^10*e^2 + 4096*a*b^9*c^4 - 11188224*a*b^9*c*d*e + 2637824*a*b^9*d^3 + 
    2393088*a*b^8*c^3*e - 326144*a*b^8*c^2*d^2 - 25019904*a*b^8*d*e^2 - 242688*a*b^7*c^4*d + 263536128*a*b^7*c^2*e^2 + 
    1564672*a*b^7*c*d^2*e - 1900544*a*b^7*d^4 + 44032*a*b^6*c^6 - 152855552*a*b^6*c^3*d*e + 38959104*a*b^6*c^2*d^3 - 
    2161868800*a*b^6*c*e^3 - 617609216*a*b^6*d^2*e^2 + 31694848*a*b^5*c^5*e - 10409984*a*b^5*c^4*d^2 + 
    2916532224*a*b^5*c^2*d*e^2 + 151863296*a*b^5*c*d^3*e - 87293952*a*b^5*d^5 + 3740928000*a*b^5*e^4 + 49152*a*b^4*c^6*d + 
    512081920*a*b^4*c^4*e^2 - 1186631680*a*b^4*c^3*d^2*e + 262266880*a*b^4*c^2*d^4 - 9959424000*a*b^4*c*d*e^3 + 
    3079577600*a*b^4*d^3*e^2 + 77824*a*b^3*c^8 - 118992896*a*b^3*c^5*d*e + 43120640*a*b^3*c^4*d^3 - 8728576000*a*b^3*c^3*e^3 
    + 6109491200*a*b^3*c^2*d^2*e^2 - 2533621760*a*b^3*c*d^4*e + 192937984*a*b^3*d^6 + 12512000000*a*b^3*d*e^4 + 
    67768320*a*b^2*c^7*e - 32651264*a*b^2*c^6*d^2 + 9641318400*a*b^2*c^4*d*e^2 - 1651507200*a*b^2*c^3*d^3*e + 
    385122304*a*b^2*c^2*d^5 + 16332800000*a*b^2*c^2*e^4 - 19589120000*a*b^2*c*d^2*e^3 - 1445888000*a*b^2*d^4*e^2 + 
    3538944*a*b*c^8*d - 470937600*a*b*c^6*e^2 - 2779283456*a*b*c^5*d^2*e + 524656640*a*b*c^4*d^4 - 38338560000*a*b*c^3*d*e^3 
    + 31291392000*a*b*c^2*d^3*e^2 - 2260992000*a*b*c*d^5*e + 12800000000*a*b*c*e^5 + 301989888*a*b*d^7 - 
    21273600000*a*b*d^2*e^4 - 221184*a*c^10 + 545071104*a*c^7*d*e - 119283712*a*c^6*d^3 - 2947072000*a*c^5*e^3 + 
    19809280000*a*c^4*d^2*e^2 - 14067302400*a*c^3*d^4*e + 2167144448*a*c^2*d^6 - 1177600000*a*c^2*d*e^4 + 
    11673600000*a*c*d^3*e^3 + 3506176000*a*d^5*e^2 - 19200000000*a*e^6 - 55296*b^11*d*e + 18432*b^10*c^2*e + 6144*b^10*c*d^2 
    - 2048*b^9*c^3*d - 7211520*b^9*c*e^2 + 49152*b^9*d^2*e + 4096512*b^8*c^2*d*e - 1048576*b^8*c*d^3 + 155496960*b^8*e^3 - 
    840192*b^7*c^4*e + 327680*b^7*c^3*d^2 - 170821632*b^7*c*d*e^2 + 23068672*b^7*d^3*e - 22016*b^6*c^5*d - 
    28202496*b^6*c^3*e^2 + 42633216*b^6*c^2*d^2*e - 11862016*b^6*c*d^4 - 884684800*b^6*d*e^3 + 16758784*b^5*c^4*d*e - 
    2646016*b^5*c^3*d^3 + 1686067200*b^5*c^2*e^3 + 1009582080*b^5*c*d^2*e^2 - 140247040*b^5*d^4*e - 5490688*b^4*c^6*e + 
    1400832*b^4*c^5*d^2 - 2159872000*b^4*c^3*d*e^2 - 20602880*b^4*c^2*d^3*e + 71303168*b^4*c*d^5 - 6240000000*b^4*c*e^4 - 
    158720000*b^4*d^2*e^3 - 38912*b^3*c^7*d + 217845760*b^3*c^5*e^2 + 653342720*b^3*c^4*d^2*e - 169410560*b^3*c^3*d^4 + 
    10042880000*b^3*c^2*d*e^3 - 20480000*b^3*c*d^3*e^2 + 165150720*b^3*d^5*e + 5856000000*b^3*e^5 - 158902272*b^2*c^6*d*e + 
    46370816*b^2*c^5*d^3 + 1401600000*b^2*c^4*e^3 - 7133184000*b^2*c^3*d^2*e^2 + 71270400*b^2*c^2*d^4*e + 108527616*b^2*c*d^6
    - 20339200000*b^2*c*d*e^4 + 8499200000*b^2*d^3*e^3 + 6303744*b*c^8*e - 3244032*b*c^7*d^2 - 692428800*b*c^5*d*e^2 + 
    2516787200*b*c^4*d^3*e - 502136832*b*c^3*d^5 - 6809600000*b*c^3*e^4 + 27187200000*b*c^2*d^2*e^3 - 13189120000*b*c*d^4*e^2
    + 419430400*b*d^6*e + 8320000000*b*d*e^5 + 110592*c^9*d + 190771200*c^7*e^2 - 454533120*c^6*d^2*e + 96419840*c^5*d^4 + 
    5811200000*c^4*d*e^3 - 14049280000*c^3*d^3*e^2 + 7661158400*c^2*d^5*e + 5120000000*c^2*e^5 - 1090519040*c*d^7 - 
    4352000000*c*d^2*e^4 - 4096000000*d^4*e^3
;
M[4][4,2] :=
                                -M[4][2,4];
M[5][2,4] :=
-16777216*a^10*e^4 + 16777216*a^9*b*d*e^3 - 83886080*a^9*c^2*e^3 + 6291456*a^9*c*d^2*e^2 + 58720256*a^8*b^2*c*e^3 - 
    8650752*a^8*b^2*d^2*e^2 + 56623104*a^8*b*c^2*d*e^2 - 3145728*a^8*b*c*d^3*e + 209715200*a^8*b*e^4 + 44040192*a^8*c^4*e^2 -
    47185920*a^8*c^3*d^2*e + 8257536*a^8*c^2*d^4 + 134217728*a^8*c*d*e^3 - 20447232*a^8*d^3*e^2 - 11010048*a^7*b^4*e^3 - 
    40108032*a^7*b^3*c*d*e^2 + 2228224*a^7*b^3*d^3*e - 80216064*a^7*b^2*c^3*e^2 + 41287680*a^7*b^2*c^2*d^2*e - 
    5799936*a^7*b^2*c*d^4 - 249561088*a^7*b^2*d*e^3 + 25165824*a^7*b*c^4*d*e - 4718592*a^7*b*c^3*d^3 + 
    876609536*a^7*b*c^2*e^3 - 140771328*a^7*b*c*d^2*e^2 + 10223616*a^7*b*d^4*e - 5242880*a^7*c^6*e + 917504*a^7*c^5*d^2 - 
    147849216*a^7*c^3*d*e^2 + 118751232*a^7*c^2*d^3*e - 14745600*a^7*c*d^5 - 387973120*a^7*c*e^4 + 134217728*a^7*d^2*e^3 + 
    7667712*a^6*b^5*d*e^2 + 50135040*a^6*b^4*c^2*e^2 - 11304960*a^6*b^4*c*d^2*e + 948224*a^6*b^4*d^4 - 
    25559040*a^6*b^3*c^3*d*e + 3964928*a^6*b^3*c^2*d^3 - 592445440*a^6*b^3*c*e^3 + 126418944*a^6*b^3*d^2*e^2 + 
    5505024*a^6*b^2*c^5*e - 1327104*a^6*b^2*c^4*d^2 - 375128064*a^6*b^2*c^2*d*e^2 - 48365568*a^6*b^2*c*d^3*e + 
    4251648*a^6*b^2*d^5 - 903086080*a^6*b^2*e^4 + 393216*a^6*b*c^6*d - 366477312*a^6*b*c^4*e^2 + 367656960*a^6*b*c^3*d^2*e - 
    75399168*a^6*b*c^2*d^4 - 1088421888*a^6*b*c*d*e^3 + 103809024*a^6*b*d^3*e^2 - 65536*a^6*c^8 + 5767168*a^6*c^5*d*e + 
    1867776*a^6*c^4*d^3 - 941621248*a^6*c^3*e^3 + 96075776*a^6*c^2*d^2*e^2 - 27820032*a^6*c*d^4*e - 15298560*a^6*d^6 + 
    1114112000*a^6*d*e^4 - 13172736*a^5*b^6*c*e^2 + 774144*a^5*b^6*d^2*e + 8749056*a^5*b^5*c^2*d*e - 1003520*a^5*b^5*c*d^3 + 
    108134400*a^5*b^5*e^3 - 1966080*a^5*b^4*c^4*e + 1105920*a^5*b^4*c^3*d^2 + 307888128*a^5*b^4*c*d*e^2 - 
    11608064*a^5*b^4*d^3*e - 606208*a^5*b^3*c^5*d + 662962176*a^5*b^3*c^3*e^2 - 309460992*a^5*b^3*c^2*d^2*e + 
    55103488*a^5*b^3*c*d^4 + 1301020672*a^5*b^3*d*e^3 + 98304*a^5*b^2*c^7 - 213123072*a^5*b^2*c^4*d*e + 
    47284224*a^5*b^2*c^3*d^3 - 2503737344*a^5*b^2*c^2*e^3 + 874119168*a^5*b^2*c*d^2*e^2 - 60248064*a^5*b^2*d^4*e + 
    42991616*a^5*b*c^6*e - 12271616*a^5*b*c^5*d^2 + 1903820800*a^5*b*c^3*d*e^2 - 1031471104*a^5*b*c^2*d^3*e + 
    181874688*a^5*b*c*d^5 + 2837708800*a^5*b*c*e^4 - 2288517120*a^5*b*d^2*e^3 + 458752*a^5*c^7*d + 472514560*a^5*c^5*e^2 - 
    502202368*a^5*c^4*d^2*e + 79978496*a^5*c^3*d^4 + 2105016320*a^5*c^2*d*e^3 + 111411200*a^5*c*d^3*e^2 + 30351360*a^5*d^5*e 
    - 1966080000*a^5*e^5 + 1234944*a^4*b^8*e^2 - 1044480*a^4*b^7*c*d*e + 79872*a^4*b^7*d^3 + 253952*a^4*b^6*c^3*e - 
    528384*a^4*b^6*c^2*d^2 - 61587456*a^4*b^6*d*e^2 + 331776*a^4*b^5*c^4*d - 404324352*a^4*b^5*c^2*e^2 + 
    82489344*a^4*b^5*c*d^2*e - 9107456*a^4*b^5*d^4 - 53248*a^4*b^4*c^6 + 202260480*a^4*b^4*c^3*d*e - 42242048*a^4*b^4*c^2*d^3
    + 1887109120*a^4*b^4*c*e^3 - 644874240*a^4*b^4*d^2*e^2 - 42729472*a^4*b^3*c^5*e + 12775424*a^4*b^3*c^4*d^2 - 
    155484160*a^4*b^3*c^2*d*e^2 + 531128320*a^4*b^3*c*d^3*e - 51077120*a^4*b^3*d^5 + 1548288000*a^4*b^3*e^4 - 
    1916928*a^4*b^2*c^6*d + 12369920*a^4*b^2*c^4*e^2 - 327761920*a^4*b^2*c^3*d^2*e + 94361600*a^4*b^2*c^2*d^4 + 
    2228224000*a^4*b^2*c*d*e^3 + 427130880*a^4*b^2*d^3*e^2 + 262144*a^4*b*c^8 + 222691328*a^4*b*c^5*d*e - 
    48414720*a^4*b*c^4*d^3 + 6009651200*a^4*b*c^3*e^3 - 2466447360*a^4*b*c^2*d^2*e^2 + 77066240*a^4*b*c*d^4*e + 
    107151360*a^4*b*d^6 - 5898240000*a^4*b*d*e^4 - 53936128*a^4*c^7*e + 9658368*a^4*c^6*d^2 - 2035384320*a^4*c^4*d*e^2 + 
    1766686720*a^4*c^3*d^3*e - 262270976*a^4*c^2*d^5 - 2457600000*a^4*c^2*e^4 + 172032000*a^4*c*d^2*e^3 + 
    85913600*a^4*d^4*e^2 + 18432*a^3*b^9*d*e - 6144*a^3*b^8*c^2*e + 116736*a^3*b^8*c*d^2 - 75776*a^3*b^7*c^3*d + 
    102801408*a^3*b^7*c*e^2 - 5130240*a^3*b^7*d^2*e + 12288*a^3*b^6*c^5 - 65015808*a^3*b^6*c^2*d*e + 11204608*a^3*b^6*c*d^3 -
    348528640*a^3*b^6*e^3 + 14278656*a^3*b^5*c^4*e - 6488064*a^3*b^5*c^3*d^2 - 492306432*a^3*b^5*c*d*e^2 - 
    671744*a^3*b^5*d^3*e + 2580480*a^3*b^4*c^5*d - 1025720320*a^3*b^4*c^3*e^2 + 488161280*a^3*b^4*c^2*d^2*e - 
    122757120*a^3*b^4*c*d^4 - 2837708800*a^3*b^4*d*e^3 - 409600*a^3*b^3*c^7 + 272834560*a^3*b^3*c^4*d*e - 
    85688320*a^3*b^3*c^3*d^3 + 337510400*a^3*b^3*c^2*e^3 - 1358479360*a^3*b^3*c*d^2*e^2 + 35061760*a^3*b^3*d^4*e - 
    48439296*a^3*b^2*c^6*e + 25092096*a^3*b^2*c^5*d^2 - 3916759040*a^3*b^2*c^3*d*e^2 + 1775370240*a^3*b^2*c^2*d^3*e - 
    542015488*a^3*b^2*c*d^5 - 5550080000*a^3*b^2*c*e^4 + 10036224000*a^3*b^2*d^2*e^3 + 958464*a^3*b*c^7*d - 
    1935523840*a^3*b*c^5*e^2 + 1506426880*a^3*b*c^4*d^2*e - 285859840*a^3*b*c^3*d^4 - 10870784000*a^3*b*c^2*d*e^3 - 
    997171200*a^3*b*c*d^3*e^2 - 232652800*a^3*b*d^5*e + 12288000000*a^3*b*e^5 - 475136*a^3*c^9 + 106708992*a^3*c^6*d*e - 
    704512*a^3*c^5*d^3 - 2408448000*a^3*c^4*e^3 + 1615872000*a^3*c^3*d^2*e^2 - 1173176320*a^3*c^2*d^4*e + 6684672*a^3*c*d^6 +
    10854400000*a^3*c*d*e^4 - 2058240000*a^3*d^3*e^3 - 9216*a^2*b^10*d^2 + 6144*a^2*b^9*c^2*d - 9252864*a^2*b^9*e^2 - 
    1024*a^2*b^8*c^4 + 7059456*a^2*b^8*c*d*e - 940032*a^2*b^8*d^3 - 1656832*a^2*b^7*c^3*e + 2383872*a^2*b^7*c^2*d^2 + 
    134080512*a^2*b^7*d*e^2 - 1402880*a^2*b^6*c^4*d + 762607616*a^2*b^6*c^2*e^2 - 149587968*a^2*b^6*c*d^2*e + 
    22962176*a^2*b^6*d^4 + 225280*a^2*b^5*c^6 - 361021440*a^2*b^5*c^3*d*e + 105496576*a^2*b^5*c^2*d^3 - 
    1704591360*a^2*b^5*c*e^3 + 1274302464*a^2*b^5*d^2*e^2 + 73801728*a^2*b^4*c^5*e - 24412160*a^2*b^4*c^4*d^2 + 
    2673868800*a^2*b^4*c^2*d*e^2 - 1177395200*a^2*b^4*c*d^3*e + 163282944*a^2*b^4*d^5 - 894720000*a^2*b^4*e^4 - 
    2809856*a^2*b^3*c^6*d + 3051581440*a^2*b^3*c^4*e^2 - 1195048960*a^2*b^3*c^3*d^2*e + 360857600*a^2*b^3*c^2*d^4 + 
    226304000*a^2*b^3*c*d*e^3 - 2971648000*a^2*b^3*d^3*e^2 + 708608*a^2*b^2*c^8 - 1066156032*a^2*b^2*c^5*d*e + 
    219914240*a^2*b^2*c^4*d^3 - 8693760000*a^2*b^2*c^3*e^3 + 9172684800*a^2*b^2*c^2*d^2*e^2 + 1227325440*a^2*b^2*c*d^4*e - 
    241303552*a^2*b^2*d^6 + 2995200000*a^2*b^2*d*e^4 + 216326144*a^2*b*c^7*e - 73912320*a^2*b*c^6*d^2 + 
    10367385600*a^2*b*c^4*d*e^2 - 7295016960*a^2*b*c^3*d^3*e + 1584594944*a^2*b*c^2*d^5 + 6860800000*a^2*b*c^2*e^4 - 
    8627200000*a^2*b*c*d^2*e^3 + 1114112000*a^2*b*d^4*e^2 + 3710976*a^2*c^8*d + 1167319040*a^2*c^6*e^2 - 
    1276379136*a^2*c^5*d^2*e + 138997760*a^2*c^4*d^4 + 5304320000*a^2*c^3*d*e^3 + 3349504000*a^2*c^2*d^3*e^2 + 
    67502080*a^2*c*d^5*e - 16896000000*a^2*c*e^5 + 186646528*a^2*d^7 - 6617600000*a^2*d^2*e^4 - 73728*a*b^10*d*e + 
    24576*a*b^9*c^2*e - 485376*a*b^9*c*d^2 + 315392*a*b^8*c^3*d - 199557120*a*b^8*c*e^2 + 8048640*a*b^8*d^2*e - 
    51200*a*b^7*c^5 + 117770240*a*b^7*c^2*d*e - 29827072*a*b^7*c*d^3 + 369346560*a*b^7*e^3 - 24965120*a*b^6*c^4*e + 
    4929536*a*b^6*c^3*d^2 - 360085504*a*b^6*c*d*e^2 + 41402368*a*b^6*d^3*e + 1785856*a*b^5*c^5*d - 1329045504*a*b^5*c^3*e^2 +
    257482752*a*b^5*c^2*d^2*e - 38961152*a*b^5*c*d^4 + 2273280000*a*b^5*d*e^3 - 327680*a*b^4*c^7 + 661053440*a*b^4*c^4*d*e - 
    190341120*a*b^4*c^3*d^3 + 4545536000*a*b^4*c^2*e^3 - 1094246400*a*b^4*c*d^2*e^2 + 108462080*a*b^4*d^4*e - 
    140328960*a*b^3*c^6*e + 58392576*a*b^3*c^5*d^2 - 6355558400*a*b^3*c^3*d*e^2 + 905052160*a*b^3*c^2*d^3*e + 
    24248320*a*b^3*c*d^5 + 3008000000*a*b^3*c*e^4 - 11386880000*a*b^3*d^2*e^3 - 3014656*a*b^2*c^7*d - 
    1589207040*a*b^2*c^5*e^2 + 2448076800*a*b^2*c^4*d^2*e - 741376000*a*b^2*c^3*d^4 + 15298560000*a*b^2*c^2*d*e^3 + 
    1478656000*a*b^2*c*d^3*e^2 + 132382720*a*b^2*d^5*e - 16704000000*a*b^2*e^5 - 73728*a*b*c^9 + 292560896*a*b*c^6*d*e + 
    43741184*a*b*c^5*d^3 + 6379520000*a*b*c^4*e^3 - 15062016000*a*b*c^3*d^2*e^2 + 2555904000*a*b*c^2*d^4*e - 
    695205888*a*b*c*d^6 - 12966400000*a*b*c*d*e^4 + 14336000000*a*b*d^3*e^3 - 128876544*a*c^8*e + 19439616*a*c^7*d^2 - 
    5969920000*a*c^5*d*e^2 + 5510963200*a*c^4*d^3*e - 846594048*a*c^3*d^5 - 230400000*a*c^3*e^4 - 2918400000*a*c^2*d^2*e^3 - 
    3850240000*a*c*d^4*e^2 - 524288000*a*d^6*e + 28800000000*a*d*e^5 + 36864*b^11*d^2 - 24576*b^10*c^2*d + 17280000*b^10*e^2 
    + 4096*b^9*c^4 - 11397120*b^9*c*d*e + 2523136*b^9*d^3 + 2519040*b^8*c^3*e - 219136*b^8*c^2*d^2 - 42768384*b^8*d*e^2 - 
    268288*b^7*c^4*d + 180553728*b^7*c^2*e^2 + 15097856*b^7*c*d^2*e - 5505024*b^7*d^4 + 44032*b^6*c^6 - 112261120*b^6*c^3*d*e
    + 29679616*b^6*c^2*d^3 - 615577600*b^6*c*e^3 - 678338560*b^6*d^2*e^2 + 23289856*b^5*c^5*e - 7538688*b^5*c^4*d^2 + 
    1060085760*b^5*c^2*d*e^2 + 383221760*b^5*c*d^3*e - 90701824*b^5*d^5 - 3840000*b^5*e^4 - 114688*b^4*c^6*d + 
    377088000*b^4*c^4*e^2 - 634101760*b^4*c^3*d^2*e + 119767040*b^4*c^2*d^4 - 3783680000*b^4*c*d*e^3 + 3715072000*b^4*d^3*e^2
    + 77824*b^3*c^8 - 101535744*b^3*c^5*d*e + 52305920*b^3*c^4*d^3 - 1684480000*b^3*c^3*e^3 - 911360000*b^3*c^2*d^2*e^2 - 
    2657484800*b^3*c*d^4*e + 363855872*b^3*d^6 + 7705600000*b^3*d*e^4 + 43081728*b^2*c^7*e - 28014592*b^2*c^6*d^2 + 
    3373056000*b^2*c^4*d*e^2 + 2061926400*b^2*c^3*d^3*e - 305004544*b^2*c^2*d^5 - 5075200000*b^2*c^2*e^4 + 
    8704000000*b^2*c*d^2*e^3 - 5324800000*b^2*d^4*e^2 + 3502080*b*c^8*d + 66662400*b*c^6*e^2 - 2090536960*b*c^5*d^2*e + 
    391249920*b*c^4*d^4 - 10112000000*b*c^3*d*e^3 + 1515520000*b*c^2*d^3*e^2 + 3329228800*b*c*d^5*e + 27840000000*b*c*e^5 - 
    335544320*b*d^7 - 19456000000*b*d^2*e^4 - 221184*c^10 + 322191360*c^7*d*e - 69898240*c^6*d^3 - 778240000*c^5*e^3 + 
    8046080000*c^4*d^2*e^2 - 5455872000*c^3*d^4*e + 807403520*c^2*d^6 + 576000000*c^2*d*e^4 + 2048000000*c*d^3*e^3 + 
    1310720000*d^5*e^2 - 24000000000*e^6
;
M[5][4,2] :=
                                -M[5][2,4];
M[1][2,5] :=
67108864*a^13*e^5 - 83886080*a^12*b*d*e^4 + 29360128*a^12*c*d^2*e^3 - 7077888*a^12*d^4*e^2 + 20971520*a^11*b^2*c*e^4 + 
    30932992*a^11*b^2*d^2*e^3 - 29360128*a^11*b*c^2*d*e^3 - 7864320*a^11*b*c*d^3*e^2 + 3538944*a^11*b*d^5*e - 
    1107296256*a^11*b*e^5 - 25165824*a^11*c^4*e^3 + 22020096*a^11*c^3*d^2*e^2 - 8257536*a^11*c^2*d^4*e + 884736*a^11*c*d^6 + 
    880803840*a^11*c*d*e^4 - 111149056*a^11*d^3*e^3 - 3932160*a^10*b^4*e^4 - 2621440*a^10*b^3*c*d*e^3 - 
    5767168*a^10*b^3*d^3*e^2 + 45088768*a^10*b^2*c^3*e^3 - 7864320*a^10*b^2*c^2*d^2*e^2 + 3735552*a^10*b^2*c*d^4*e - 
    774144*a^10*b^2*d^6 + 1002438656*a^10*b^2*d*e^4 - 3145728*a^10*b*c^4*d*e^2 + 5505024*a^10*b*c^3*d^3*e - 
    589824*a^10*b*c^2*d^5 + 71303168*a^10*b*c^2*e^4 - 1202192384*a^10*b*c*d^2*e^3 + 185991168*a^10*b*d^4*e^2 + 
    8388608*a^10*c^6*e^2 - 8126464*a^10*c^5*d^2*e + 1458176*a^10*c^4*d^4 + 270532608*a^10*c^3*d*e^3 + 
    315359232*a^10*c^2*d^3*e^2 - 70189056*a^10*c*d^5*e + 113246208*a^10*c*e^5 + 1769472*a^10*d^7 - 441974784*a^10*d^2*e^4 + 
    1179648*a^9*b^5*d*e^3 - 25034752*a^9*b^4*c^2*e^3 + 5603328*a^9*b^4*c*d^2*e^2 + 20480*a^9*b^4*d^4*e - 
    5505024*a^9*b^3*c^3*d*e^2 - 5308416*a^9*b^3*c^2*d^3*e + 757760*a^9*b^3*c*d^5 - 410517504*a^9*b^3*c*e^4 - 
    176160768*a^9*b^3*d^2*e^3 - 18087936*a^9*b^2*c^5*e^2 + 11894784*a^9*b^2*c^4*d^2*e - 2138112*a^9*b^2*c^3*d^4 + 
    226754560*a^9*b^2*c^2*d*e^3 + 97910784*a^9*b^2*c*d^3*e^2 - 42737664*a^9*b^2*d^5*e + 7443316736*a^9*b^2*e^5 + 
    3932160*a^9*b*c^6*d*e - 884736*a^9*b*c^5*d^3 + 162529280*a^9*b*c^4*e^3 - 690225152*a^9*b*c^3*d^2*e^2 + 
    58195968*a^9*b*c^2*d^4*e + 3391488*a^9*b*c*d^6 - 13143375872*a^9*b*c*d*e^4 + 2029780992*a^9*b*d^3*e^3 - 786432*a^9*c^8*e 
    + 196608*a^9*c^7*d^2 - 246939648*a^9*c^5*d*e^2 + 288620544*a^9*c^4*d^3*e - 52625408*a^9*c^3*d^5 + 13631488*a^9*c^3*e^4 - 
    981991424*a^9*c^2*d^2*e^3 - 331972608*a^9*c*d^4*e^2 + 31997952*a^9*d^6*e + 406847488*a^9*d*e^5 + 6160384*a^8*b^6*c*e^3 - 
    847872*a^8*b^6*d^2*e^2 + 5111808*a^8*b^5*c^2*d*e^2 + 1024000*a^8*b^5*c*d^3*e - 114688*a^8*b^5*d^5 + 81920000*a^8*b^5*e^4 
    + 17645568*a^8*b^4*c^4*e^2 - 6242304*a^8*b^4*c^3*d^2*e + 1060864*a^8*b^4*c^2*d^4 + 149749760*a^8*b^4*c*d*e^3 + 
    32292864*a^8*b^4*d^3*e^2 - 6848512*a^8*b^3*c^5*d*e + 1540096*a^8*b^3*c^4*d^3 - 321388544*a^8*b^3*c^3*e^3 + 
    400490496*a^8*b^3*c^2*d^2*e^2 - 12890112*a^8*b^3*c*d^4*e + 5275648*a^8*b^3*d^6 - 3725066240*a^8*b^3*d*e^4 + 
    1376256*a^8*b^2*c^7*e - 344064*a^8*b^2*c^6*d^2 + 646578176*a^8*b^2*c^4*d*e^2 - 360284160*a^8*b^2*c^3*d^3*e + 
    54915072*a^8*b^2*c^2*d^5 - 336855040*a^8*b^2*c^2*e^4 + 14211088384*a^8*b^2*c*d^2*e^3 - 1768648704*a^8*b^2*d^4*e^2 - 
    50593792*a^8*b*c^6*e^2 - 108298240*a^8*b*c^5*d^2*e + 22462464*a^8*b*c^4*d^4 - 2549350400*a^8*b*c^3*d*e^3 - 
    3404070912*a^8*b*c^2*d^3*e^2 + 1124155392*a^8*b*c*d^5*e - 762839040*a^8*b*c*e^5 - 37306368*a^8*b*d^7 + 
    7227572224*a^8*b*d^2*e^4 + 30277632*a^8*c^7*d*e - 6242304*a^8*c^6*d^3 + 306446336*a^8*c^5*e^3 + 
    1508016128*a^8*c^4*d^2*e^2 - 1210449920*a^8*c^3*d^4*e + 179650560*a^8*c^2*d^6 + 13116899328*a^8*c^2*d*e^4 - 
    2187984896*a^8*c*d^3*e^3 + 344948736*a^8*d^5*e^2 + 1159987200*a^8*e^6 - 577536*a^7*b^8*e^3 - 1634304*a^7*b^7*c*d*e^2 - 
    49152*a^7*b^7*d^3*e - 9248768*a^7*b^6*c^3*e^2 + 1658880*a^7*b^6*c^2*d^2*e - 260096*a^7*b^6*c*d^4 - 43130880*a^7*b^6*d*e^3
    + 4620288*a^7*b^5*c^4*d*e - 1036288*a^7*b^5*c^3*d^3 + 155516928*a^7*b^5*c^2*e^3 - 168222720*a^7*b^5*c*d^2*e^2 - 
    2686976*a^7*b^5*d^4*e - 950272*a^7*b^4*c^6*e + 237568*a^7*b^4*c^5*d^2 - 458522624*a^7*b^4*c^3*d*e^2 + 
    176791552*a^7*b^4*c^2*d^3*e - 27283456*a^7*b^4*c*d^5 + 2710274048*a^7*b^4*c*e^4 - 1420189696*a^7*b^4*d^2*e^3 + 
    102268928*a^7*b^3*c^5*e^2 + 133660672*a^7*b^3*c^4*d^2*e - 25542656*a^7*b^3*c^3*d^4 - 1784348672*a^7*b^3*c^2*d*e^3 - 
    1122263040*a^7*b^3*c*d^3*e^2 + 130596864*a^7*b^3*d^5*e - 26168262656*a^7*b^3*e^5 - 68468736*a^7*b^2*c^6*d*e + 
    16588800*a^7*b^2*c^5*d^3 - 426999808*a^7*b^2*c^4*e^3 + 3932110848*a^7*b^2*c^3*d^2*e^2 + 1001840640*a^7*b^2*c^2*d^4*e - 
    275644416*a^7*b^2*c*d^6 + 67621224448*a^7*b^2*c*d*e^4 - 15841673216*a^7*b^2*d^3*e^3 + 5701632*a^7*b*c^8*e - 
    2752512*a^7*b*c^7*d^2 + 1697087488*a^7*b*c^5*d*e^2 - 2233663488*a^7*b*c^4*d^3*e + 462422016*a^7*b*c^3*d^5 + 
    732168192*a^7*b*c^3*e^4 + 2008285184*a^7*b*c^2*d^2*e^3 + 5814878208*a^7*b*c*d^4*e^2 - 753893376*a^7*b*d^6*e - 
    11055267840*a^7*b*d*e^5 + 196608*a^7*c^9*d - 152371200*a^7*c^7*e^2 + 107888640*a^7*c^6*d^2*e - 28934144*a^7*c^5*d^4 - 
    954597376*a^7*c^4*d*e^3 + 2249326592*a^7*c^3*d^3*e^2 + 126926848*a^7*c^2*d^5*e - 7765360640*a^7*c^2*e^5 - 
    18808832*a^7*c*d^7 - 13545340928*a^7*c*d^2*e^4 - 84819968*a^7*d^4*e^3 + 184320*a^6*b^9*d*e^2 + 2703360*a^6*b^8*c^2*e^2 - 
    199680*a^6*b^8*c*d^2*e + 25920*a^6*b^8*d^4 - 1556480*a^6*b^7*c^3*d*e + 348160*a^6*b^7*c^2*d^3 - 33124352*a^6*b^7*c*e^3 + 
    25018368*a^6*b^7*d^2*e^2 + 327680*a^6*b^6*c^5*e - 81920*a^6*b^6*c^4*d^2 + 163565568*a^6*b^6*c^2*d*e^2 - 
    30818304*a^6*b^6*c*d^3*e + 3907584*a^6*b^6*d^5 - 571781120*a^6*b^6*e^4 - 104480768*a^6*b^5*c^4*e^2 - 
    70307840*a^6*b^5*c^3*d^2*e + 13617152*a^6*b^5*c^2*d^4 - 686710784*a^6*b^5*c*d*e^3 + 348110848*a^6*b^5*d^3*e^2 + 
    70279168*a^6*b^4*c^5*d*e - 19148800*a^6*b^4*c^4*d^3 + 687980544*a^6*b^4*c^3*e^3 - 2232459264*a^6*b^4*c^2*d^2*e^2 - 
    405360640*a^6*b^4*c*d^4*e + 41674752*a^6*b^4*d^6 + 2080194560*a^6*b^4*d*e^4 - 10076160*a^6*b^3*c^7*e + 
    4833280*a^6*b^3*c^6*d^2 - 5130452992*a^6*b^3*c^4*d*e^2 + 2290491392*a^6*b^3*c^3*d^3*e - 387825664*a^6*b^3*c^2*d^5 - 
    2508390400*a^6*b^3*c^2*e^4 - 67800489984*a^6*b^3*c*d^2*e^3 + 8463024128*a^6*b^3*d^4*e^2 - 344064*a^6*b^2*c^8*d + 
    421756928*a^6*b^2*c^6*e^2 + 1353703424*a^6*b^2*c^5*d^2*e - 309911552*a^6*b^2*c^4*d^4 + 8850145280*a^6*b^2*c^3*d*e^3 + 
    11216461824*a^6*b^2*c^2*d^3*e^2 - 7121387520*a^6*b^2*c*d^5*e + 4571463680*a^6*b^2*c*e^5 + 371834880*a^6*b^2*d^7 - 
    33053388800*a^6*b^2*d^2*e^4 - 386334720*a^6*b*c^7*d*e + 99975168*a^6*b*c^6*d^3 - 3856760832*a^6*b*c^5*e^3 - 
    15739224064*a^6*b*c^4*d^2*e^2 + 11467112448*a^6*b*c^3*d^4*e - 1975910400*a^6*b*c^2*d^6 - 131965976576*a^6*b*c^2*d*e^4 + 
    29818650624*a^6*b*c*d^3*e^3 - 3207774208*a^6*b*d^5*e^2 - 11091968000*a^6*b*e^6 + 18284544*a^6*c^9*e - 6242304*a^6*c^8*d^2
    - 634765312*a^6*c^6*d*e^2 + 1172275200*a^6*c^5*d^3*e - 180305920*a^6*c^4*d^5 + 792543232*a^6*c^4*e^4 - 
    9891741696*a^6*c^3*d^2*e^3 - 4739874816*a^6*c^2*d^4*e^2 - 103464960*a^6*c*d^6*e + 50176000000*a^6*c*d*e^5 - 
    10141696*a^6*d^8 + 21739601920*a^6*d^3*e^4 - 414720*a^5*b^10*c*e^2 + 5760*a^5*b^10*d^2*e + 261120*a^5*b^9*c^2*d*e - 
    58240*a^5*b^9*c*d^3 + 2899968*a^5*b^9*e^3 - 56320*a^5*b^8*c^4*e + 14080*a^5*b^8*c^3*d^2 - 28588032*a^5*b^8*c*d*e^2 + 
    1295872*a^5*b^8*d^3*e + 57352192*a^5*b^7*c^3*e^2 + 15261696*a^5*b^7*c^2*d^2*e - 2935808*a^5*b^7*c*d^4 + 
    282198016*a^5*b^7*d*e^3 - 37871616*a^5*b^6*c^4*d*e + 10950656*a^5*b^6*c^3*d^3 - 123211776*a^5*b^6*c^2*e^3 + 
    840241152*a^5*b^6*c*d^2*e^2 + 37010432*a^5*b^6*d^4*e + 6955008*a^5*b^5*c^6*e - 3309568*a^5*b^5*c^5*d^2 + 
    4051972096*a^5*b^5*c^3*d*e^2 - 986243072*a^5*b^5*c^2*d^3*e + 170639360*a^5*b^5*c*d^5 - 7221010432*a^5*b^5*c*e^4 + 
    13795491840*a^5*b^5*d^2*e^3 + 237568*a^5*b^4*c^7*d - 376193024*a^5*b^4*c^5*e^2 - 1732816896*a^5*b^4*c^4*d^2*e + 
    380661760*a^5*b^4*c^3*d^4 + 12727279616*a^5*b^4*c^2*d*e^3 + 6946873344*a^5*b^4*c*d^3*e^2 + 266301440*a^5*b^4*d^5*e + 
    50650419200*a^5*b^4*e^5 + 539672576*a^5*b^3*c^6*d*e - 145563648*a^5*b^3*c^5*d^3 + 4402937856*a^5*b^3*c^4*e^3 - 
    656187392*a^5*b^3*c^3*d^2*e^2 - 9321930752*a^5*b^3*c^2*d^4*e + 2178973696*a^5*b^3*c*d^6 - 130756063232*a^5*b^3*c*d*e^4 + 
    59244969984*a^5*b^3*d^3*e^3 - 34013184*a^5*b^2*c^8*e + 16588800*a^5*b^2*c^7*d^2 - 158703616*a^5*b^2*c^5*d*e^2 + 
    1650008064*a^5*b^2*c^4*d^3*e - 473563136*a^5*b^2*c^3*d^5 - 1703124992*a^5*b^2*c^3*e^4 + 58660421632*a^5*b^2*c^2*d^2*e^3 -
    32875741184*a^5*b^2*c*d^4*e^2 + 5172903936*a^5*b^2*d^6*e + 63727001600*a^5*b^2*d*e^5 - 884736*a^5*b*c^9*d + 
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    25600000000*a*b*e^7 + 884736*a*c^11*d - 105283584*a*c^9*e^2 - 370114560*a*c^8*d^2*e - 18808832*a*c^7*d^4 - 
    42008576000*a*c^6*d*e^3 + 54743695360*a*c^5*d^3*e^2 - 7516110848*a*c^4*d^5*e - 34918400000*a*c^4*e^5 + 
    265289728*a*c^3*d^7 + 233062400000*a*c^3*d^2*e^4 - 116500480000*a*c^2*d^4*e^3 - 70434816000*a*c*d^6*e^2 + 
    422400000000*a*c*d*e^6 + 10113515520*a*d^8*e + 859136000000*a*d^3*e^5 + 311040*b^14*e^2 - 241920*b^13*c*d*e + 
    92160*b^13*d^3 + 57600*b^12*c^3*e - 38400*b^12*c^2*d^2 + 50284800*b^12*d*e^2 + 3840*b^11*c^4*d - 8303040*b^11*c^2*e^2 - 
    34068480*b^11*c*d^2*e + 8273920*b^11*d^4 + 12965440*b^10*c^3*d*e - 3266560*b^10*c^2*d^3 + 228377664*b^10*c*e^3 + 
    450195456*b^10*d^2*e^2 - 1167680*b^9*c^5*e + 197760*b^9*c^4*d^2 + 72208896*b^9*c^2*d*e^2 - 282144768*b^9*c*d^3*e + 
    61964288*b^9*d^5 + 764496000*b^9*e^4 + 25920*b^8*c^6*d - 24167872*b^8*c^4*e^2 - 72217856*b^8*c^3*d^2*e + 
    30703616*b^8*c^2*d^4 - 640425216*b^8*c*d*e^3 - 3991826432*b^8*d^3*e^2 + 63462400*b^7*c^5*d*e - 25241600*b^7*c^4*d^3 + 
    2378655744*b^7*c^3*e^3 + 8077203456*b^7*c^2*d^2*e^2 + 2299723776*b^7*c*d^4*e - 503840768*b^7*d^6 - 490547200*b^7*d*e^4 - 
    7409664*b^6*c^7*e + 3907584*b^6*c^6*d^2 - 3284442112*b^6*c^4*d*e^2 - 5191604224*b^6*c^3*d^3*e + 1197539328*b^6*c^2*d^5 - 
    1032371200*b^6*c^2*e^4 - 58433034240*b^6*c*d^2*e^3 - 2620719104*b^6*d^4*e^2 - 114688*b^5*c^8*d + 415227904*b^5*c^6*e^2 + 
    2211592192*b^5*c^5*d^2*e - 466898944*b^5*c^4*d^4 + 43576852480*b^5*c^3*d*e^3 + 52766146560*b^5*c^2*d^3*e^2 - 
    3421962240*b^5*c*d^5*e - 25679360000*b^5*c*e^5 - 1122500608*b^5*d^7 - 18797056000*b^5*d^2*e^4 - 345817088*b^4*c^7*d*e + 
    41674752*b^4*c^6*d^3 + 480051200*b^4*c^5*e^3 - 35294095360*b^4*c^4*d^2*e^2 - 10436976640*b^4*c^3*d^4*e + 
    4155113472*b^4*c^2*d^6 - 94005760000*b^4*c^2*d*e^4 + 22412288000*b^4*c*d^3*e^3 + 34424422400*b^4*d^5*e^2 + 
    28800000000*b^4*e^6 + 18542592*b^3*c^9*e + 5275648*b^3*c^8*d^2 + 5175189504*b^3*c^6*d*e^2 + 7386988544*b^3*c^5*d^3*e - 
    1942323200*b^3*c^4*d^5 + 10398720000*b^3*c^4*e^4 + 11468800000*b^3*c^3*d^2*e^3 + 2444902400*b^3*c^2*d^4*e^2 - 
    33333706752*b^3*c*d^6*e - 55961600000*b^3*c*d*e^5 + 6144655360*b^3*d^8 + 369356800000*b^3*d^3*e^4 - 774144*b^2*c^10*d + 
    28422144*b^2*c^8*e^2 - 2005377024*b^2*c^7*d^2*e + 371834880*b^2*c^6*d^4 + 44334284800*b^2*c^5*d*e^3 + 
    2434662400*b^2*c^4*d^3*e^2 + 11101749248*b^2*c^3*d^5*e - 45337600000*b^2*c^3*e^5 - 1421344768*b^2*c^2*d^7 - 
    3788800000*b^2*c^2*d^2*e^4 - 257177600000*b^2*c*d^4*e^3 + 40868249600*b^2*d^6*e^2 + 154880000000*b^2*d*e^6 + 
    268517376*b*c^9*d*e - 37306368*b*c^8*d^3 - 121651200*b*c^7*e^3 - 24228003840*b*c^6*d^2*e^2 + 2477572096*b*c^5*d^4*e + 
    132415488*b*c^4*d^6 - 208844800000*b*c^4*d*e^4 + 246005760000*b*c^3*d^3*e^3 - 26453606400*b*c^2*d^5*e^2 + 
    71680000000*b*c^2*e^6 + 833617920*b*c*d^7*e + 802816000000*b*c*d^2*e^5 + 914358272*b*d^9 - 455782400000*b*d^4*e^4 - 
    15925248*c^11*e + 1769472*c^10*d^2 + 4538695680*c^8*d*e^2 - 799948800*c^7*d^3*e - 10141696*c^6*d^5 + 16957440000*c^6*e^4 
    + 69392384000*c^5*d^2*e^3 - 64878592000*c^4*d^4*e^2 + 10193141760*c^3*d^6*e + 254208000000*c^3*d*e^5 - 62914560*c^2*d^8 -
    595968000000*c^2*d^3*e^4 + 348282880000*c*d^5*e^3 - 96000000000*c*e^7 - 42074112000*d^7*e^2 - 793600000000*d^2*e^6
;
M[1][5,2] :=
                                -M[1][2,5];
M[2][2,5] :=
-67108864*a^12*e^5 + 92274688*a^11*b*d*e^4 + 2046820352*a^11*c^2*e^4 - 190840832*a^11*c*d^2*e^3 - 14155776*a^11*d^4*e^2 - 
    1340080128*a^10*b^2*c*e^4 - 9437184*a^10*b^2*d^2*e^3 - 1889533952*a^10*b*c^2*d*e^3 + 124256256*a^10*b*c*d^3*e^2 + 
    14155776*a^10*b*d^5*e - 1015021568*a^10*b*e^5 - 192937984*a^10*c^4*e^3 + 1153957888*a^10*c^3*d^2*e^2 - 
    292552704*a^10*c^2*d^4*e + 16809984*a^10*c*d^6 - 5330960384*a^10*c*d*e^4 + 238026752*a^10*d^3*e^3 + 210239488*a^9*b^4*e^4
    + 1278738432*a^9*b^3*c*d*e^3 - 6422528*a^9*b^3*d^3*e^2 + 801636352*a^9*b^2*c^3*e^3 - 531628032*a^9*b^2*c^2*d^2*e^2 + 
    149716992*a^9*b^2*c*d^4*e - 7962624*a^9*b^2*d^6 + 3207593984*a^9*b^2*d*e^4 - 962068480*a^9*b*c^4*d*e^2 - 
    58458112*a^9*b*c^3*d^3*e + 35094528*a^9*b*c^2*d^5 - 25293750272*a^9*b*c^2*e^4 + 7292321792*a^9*b*c*d^2*e^3 + 
    243793920*a^9*b*d^4*e^2 - 276824064*a^9*c^6*e^2 + 398327808*a^9*c^5*d^2*e - 74874880*a^9*c^4*d^4 - 
    544210944*a^9*c^3*d*e^3 - 3450077184*a^9*c^2*d^3*e^2 + 707198976*a^9*c*d^5*e + 3424649216*a^9*c*e^5 - 28753920*a^9*d^7 + 
    8845787136*a^9*d^2*e^4 - 205127680*a^8*b^5*d*e^3 - 609222656*a^8*b^4*c^2*e^3 - 66355200*a^8*b^4*c*d^2*e^2 - 
    26902528*a^8*b^4*d^4*e + 812646400*a^8*b^3*c^3*d*e^2 + 45088768*a^8*b^3*c^2*d^3*e - 22528000*a^8*b^3*c*d^5 + 
    15419834368*a^8*b^3*c*e^4 - 2917269504*a^8*b^3*d^2*e^3 + 795738112*a^8*b^2*c^5*e^2 - 353828864*a^8*b^2*c^4*d^2*e + 
    55689216*a^8*b^2*c^3*d^4 + 21344550912*a^8*b^2*c^2*d*e^3 - 1001521152*a^8*b^2*c*d^3*e^2 - 520863744*a^8*b^2*d^5*e + 
    18641584128*a^8*b^2*e^5 - 269352960*a^8*b*c^6*d*e + 51937280*a^8*b*c^5*d^3 + 3395813376*a^8*b*c^4*e^3 - 
    9579528192*a^8*b*c^3*d^2*e^2 + 4172906496*a^8*b*c^2*d^4*e - 372768768*a^8*b*c*d^6 + 53315371008*a^8*b*c*d*e^4 - 
    13046906880*a^8*b*d^3*e^3 + 47972352*a^8*c^8*e - 9338880*a^8*c^7*d^2 + 2627469312*a^8*c^5*d*e^2 - 
    2614296576*a^8*c^4*d^3*e + 426901504*a^8*c^3*d^5 + 29775888384*a^8*c^3*e^4 + 3183214592*a^8*c^2*d^2*e^3 + 
    5206278144*a^8*c*d^4*e^2 - 885768192*a^8*d^6*e - 18953011200*a^8*d*e^5 + 165773312*a^7*b^6*c*e^3 + 
    32538624*a^7*b^6*d^2*e^2 - 202997760*a^7*b^5*c^2*d*e^2 + 4128768*a^7*b^5*c*d^3*e + 4657152*a^7*b^5*d^5 - 
    2315124736*a^7*b^5*e^4 - 766803968*a^7*b^4*c^4*e^2 + 91783168*a^7*b^4*c^3*d^2*e - 11149312*a^7*b^4*c^2*d^4 - 
    13289979904*a^7*b^4*c*d*e^3 + 626573312*a^7*b^4*d^3*e^2 + 357269504*a^7*b^3*c^5*d*e - 66625536*a^7*b^3*c^4*d^3 - 
    10540548096*a^7*b^3*c^3*e^3 + 3602644992*a^7*b^3*c^2*d^2*e^2 - 1928888320*a^7*b^3*c*d^4*e + 181485568*a^7*b^3*d^6 - 
    43697176576*a^7*b^3*d*e^4 - 65961984*a^7*b^2*c^7*e + 17498112*a^7*b^2*c^6*d^2 + 4201447424*a^7*b^2*c^4*d*e^2 + 
    2149515264*a^7*b^2*c^3*d^3*e - 601399296*a^7*b^2*c^2*d^5 + 98257076224*a^7*b^2*c^2*e^4 - 57677774848*a^7*b^2*c*d^2*e^3 + 
    729956352*a^7*b^2*d^4*e^2 - 2752512*a^7*b*c^8*d + 1544683520*a^7*b*c^6*e^2 - 1568112640*a^7*b*c^5*d^2*e + 
    375750656*a^7*b*c^4*d^4 - 31666208768*a^7*b*c^3*d*e^3 + 26356678656*a^7*b*c^2*d^3*e^2 - 8660287488*a^7*b*c*d^5*e - 
    62644551680*a^7*b*c*e^5 + 672104448*a^7*b*d^7 - 71236583424*a^7*b*d^2*e^4 + 393216*a^7*c^10 - 207421440*a^7*c^7*d*e + 
    26624000*a^7*c^6*d^3 - 5078384640*a^7*c^5*e^3 + 7995916288*a^7*c^4*d^2*e^2 + 3218374656*a^7*c^3*d^4*e - 
    854016000*a^7*c^2*d^6 - 96196100096*a^7*c^2*d*e^4 - 23104716800*a^7*c*d^3*e^3 + 712392704*a^7*d^5*e^2 + 
    2031616000*a^7*e^6 - 15187968*a^6*b^8*e^3 + 10076160*a^6*b^7*c*d*e^2 - 2670592*a^6*b^7*d^3*e + 355516416*a^6*b^6*c^3*e^2 
    - 5160960*a^6*b^6*c^2*d^2*e - 1345536*a^6*b^6*c*d^4 + 2044706816*a^6*b^6*d*e^3 - 183214080*a^6*b^5*c^4*d*e + 
    35389440*a^6*b^5*c^3*d^3 + 7304413184*a^6*b^5*c^2*e^3 + 911769600*a^6*b^5*c*d^2*e^2 + 274345984*a^6*b^5*d^4*e + 
    34799616*a^6*b^4*c^6*e - 15491072*a^6*b^4*c^5*d^2 - 3440181248*a^6*b^4*c^3*d*e^2 - 630538240*a^6*b^4*c^2*d^3*e + 
    225648640*a^6*b^4*c*d^5 - 60450570240*a^6*b^4*c*e^4 + 31122505728*a^6*b^4*d^2*e^3 + 4800512*a^6*b^3*c^7*d - 
    5108957184*a^6*b^3*c^5*e^2 + 740646912*a^6*b^3*c^4*d^2*e - 110108672*a^6*b^3*c^3*d^4 - 60399943680*a^6*b^3*c^2*d*e^3 + 
    3472261120*a^6*b^3*c*d^3*e^2 + 4393598976*a^6*b^3*d^5*e - 91768094720*a^6*b^3*e^5 - 688128*a^6*b^2*c^9 + 
    2224963584*a^6*b^2*c^6*d*e - 492191744*a^6*b^2*c^5*d^3 - 2260860928*a^6*b^2*c^4*e^3 + 34728148992*a^6*b^2*c^3*d^2*e^2 - 
    22375686144*a^6*b^2*c^2*d^4*e + 2728968192*a^6*b^2*c*d^6 - 103481999360*a^6*b^2*c*d*e^4 + 113723473920*a^6*b^2*d^3*e^3 - 
    351535104*a^6*b*c^8*e + 100073472*a^6*b*c^7*d^2 - 27824521216*a^6*b*c^5*d*e^2 + 12864421888*a^6*b*c^4*d^3*e - 
    2011217920*a^6*b*c^3*d^5 - 242420547584*a^6*b*c^3*e^4 + 101595676672*a^6*b*c^2*d^2*e^3 - 30546231296*a^6*b*c*d^4*e^2 + 
    8271020032*a^6*b*d^6*e + 206857830400*a^6*b*d*e^5 - 3342336*a^6*c^9*d - 2531688448*a^6*c^7*e^2 + 4498538496*a^6*c^6*d^2*e
    - 809730048*a^6*c^5*d^4 + 12682461184*a^6*c^4*d*e^3 - 44114247680*a^6*c^3*d^3*e^2 - 1238974464*a^6*c^2*d^5*e + 
    83656704000*a^6*c^2*e^5 + 1546534912*a^6*c*d^7 + 223065374720*a^6*c*d^2*e^4 + 13271646208*a^6*d^4*e^3 + 
    1271808*a^5*b^9*d*e^2 - 87515136*a^5*b^8*c^2*e^2 - 800256*a^5*b^8*c*d^2*e + 385408*a^5*b^8*d^4 + 44466176*a^5*b^7*c^3*d*e
    - 9293824*a^5*b^7*c^2*d^3 - 1879900160*a^5*b^7*c*e^3 - 315260928*a^5*b^7*d^2*e^2 - 8388608*a^5*b^6*c^5*e + 
    7557120*a^5*b^6*c^4*d^2 + 174120960*a^5*b^6*c^2*d*e^2 - 62021632*a^5*b^6*c*d^3*e - 40608768*a^5*b^6*d^5 + 
    8822636544*a^5*b^6*e^4 - 3260416*a^5*b^5*c^6*d + 4859863040*a^5*b^5*c^4*e^2 + 240631808*a^5*b^5*c^3*d^2*e - 
    69550080*a^5*b^5*c^2*d^4 + 40528412672*a^5*b^5*c*d*e^3 - 6130851840*a^5*b^5*d^3*e^2 + 475136*a^5*b^4*c^8 - 
    2550022144*a^5*b^4*c^5*d*e + 556437504*a^5*b^4*c^4*d^3 + 35188178944*a^5*b^4*c^3*e^3 - 17396514816*a^5*b^4*c^2*d^2*e^2 + 
    9049276416*a^5*b^4*c*d^4*e - 1284513792*a^5*b^4*d^6 + 181688745984*a^5*b^4*d*e^4 + 452001792*a^5*b^3*c^7*e - 
    146726912*a^5*b^3*c^6*d^2 + 5937930240*a^5*b^3*c^4*d*e^2 - 6226903040*a^5*b^3*c^3*d^3*e + 1774034944*a^5*b^3*c^2*d^5 - 
    115014500352*a^5*b^3*c^2*e^4 + 80796254208*a^5*b^3*c*d^2*e^3 - 22277816320*a^5*b^3*d^4*e^2 + 16613376*a^5*b^2*c^8*d + 
    6843842560*a^5*b^2*c^6*e^2 - 5168021504*a^5*b^2*c^5*d^2*e + 634150912*a^5*b^2*c^4*d^4 + 204508037120*a^5*b^2*c^3*d*e^3 - 
    83745095680*a^5*b^2*c^2*d^3*e^2 + 36456759296*a^5*b^2*c*d^5*e + 323945267200*a^5*b^2*c*e^5 - 5126995968*a^5*b^2*d^7 + 
    68179394560*a^5*b^2*d^2*e^4 - 1769472*a^5*b*c^10 - 1677787136*a^5*b*c^7*d*e + 319422464*a^5*b*c^6*d^3 + 
    43456888832*a^5*b*c^5*e^3 - 29478322176*a^5*b*c^4*d^2*e^2 + 10335027200*a^5*b*c^3*d^4*e + 180011008*a^5*b*c^2*d^6 + 
    502600663040*a^5*b*c^2*d*e^4 - 73201025024*a^5*b*c*d^3*e^3 - 19490734080*a^5*b*d^5*e^2 - 45875200000*a^5*b*e^6 + 
    499875840*a^5*c^9*e - 94650368*a^5*c^8*d^2 + 27872706560*a^5*c^6*d*e^2 - 30025777152*a^5*c^5*d^3*e + 
    5077843968*a^5*c^4*d^5 + 128741703680*a^5*c^4*e^4 - 3039887360*a^5*c^3*d^2*e^3 + 110814167040*a^5*c^2*d^4*e^2 - 
    12947914752*a^5*c*d^6*e - 392470528000*a^5*c*d*e^5 - 1071087616*a^5*d^8 - 119836262400*a^5*d^3*e^4 + 
    11082240*a^4*b^10*c*e^2 + 69120*a^4*b^10*d^2*e - 4492800*a^4*b^9*c^2*d*e + 1244800*a^4*b^9*c*d^3 + 165390336*a^4*b^9*e^3 
    + 711680*a^4*b^8*c^4*e - 2138240*a^4*b^8*c^3*d^2 + 237069312*a^4*b^8*c*d*e^2 + 28989184*a^4*b^8*d^3*e + 
    1105920*a^4*b^7*c^5*d - 2115182592*a^4*b^7*c^3*e^2 - 143290368*a^4*b^7*c^2*d^2*e + 46554112*a^4*b^7*c*d^4 - 
    6219710464*a^4*b^7*d*e^3 - 163840*a^4*b^6*c^7 + 1170722816*a^4*b^6*c^4*d*e - 266358784*a^4*b^6*c^3*d^3 - 
    25889841152*a^4*b^6*c^2*e^3 + 456388608*a^4*b^6*c*d^2*e^2 - 910828544*a^4*b^6*d^4*e - 221331456*a^4*b^5*c^6*e + 
    101519360*a^4*b^5*c^5*d^2 + 882589696*a^4*b^5*c^3*d*e^2 + 181870592*a^4*b^5*c^2*d^3*e - 204640256*a^4*b^5*c*d^5 + 
    90311753728*a^4*b^5*c*e^4 - 104130928640*a^4*b^5*d^2*e^3 - 23715840*a^4*b^4*c^7*d + 718938112*a^4*b^4*c^5*e^2 + 
    5130964992*a^4*b^4*c^4*d^2*e - 1040506880*a^4*b^4*c^3*d^4 + 13470924800*a^4*b^4*c^2*d*e^3 + 26740326400*a^4*b^4*c*d^3*e^2
    - 13905817600*a^4*b^4*d^5*e + 185817088000*a^4*b^4*e^5 + 3080192*a^4*b^3*c^9 - 1980817408*a^4*b^3*c^6*d*e + 
    743948288*a^4*b^3*c^5*d^3 - 80159334400*a^4*b^3*c^4*e^3 - 77303398400*a^4*b^3*c^3*d^2*e^2 + 32673546240*a^4*b^3*c^2*d^4*e
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    39740620800*b^2*c*d^5*e^2 + 488960000000*b^2*c*e^6 - 10357309440*b^2*d^7*e - 436992000000*b^2*d^2*e^5 - 
    231800832*b*c^10*e + 114720768*b*c^9*d^2 - 60532654080*b*c^7*d*e^2 - 20807811072*b*c^6*d^3*e + 6972227584*b*c^5*d^5 - 
    350617600000*b*c^5*e^4 + 218122240000*b*c^4*d^2*e^3 - 42999808000*b*c^3*d^4*e^2 + 131433431040*b*c^2*d^6*e + 
    1815552000000*b*c^2*d*e^5 - 23759683584*b*c*d^8 - 770867200000*b*c*d^3*e^4 - 317440000000*b*d^5*e^3 - 160000000000*b*e^7 
    - 4423680*c^11*d + 8550973440*c^9*e^2 + 2427125760*c^8*d^2*e - 995409920*c^7*d^4 + 135356416000*c^6*d*e^3 - 
    37133107200*c^5*d^3*e^2 - 45020037120*c^4*d^5*e + 333824000000*c^4*e^5 + 10512957440*c^3*d^7 - 1139456000000*c^3*d^2*e^4 
    + 516454400000*c^2*d^4*e^3 + 103636992000*c*d^6*e^2 - 1734400000000*c*d*e^6 - 33580646400*d^8*e - 465920000000*d^3*e^5
;
M[2][5,2] :=
                                -M[2][2,5];
M[3][2,5] :=
16777216*a^12*d*e^4 + 872415232*a^11*b*c*e^4 - 139460608*a^11*b*d^2*e^3 - 67108864*a^11*c^2*d*e^3 - 94371840*a^11*c*d^3*e^2 +
    14155776*a^11*d^5*e - 4043309056*a^11*e^5 - 328204288*a^10*b^3*e^4 - 695205888*a^10*b^2*c*d*e^3 + 
    133693440*a^10*b^2*d^3*e^2 + 159383552*a^10*b*c^3*e^3 + 604766208*a^10*b*c^2*d^2*e^2 - 83755008*a^10*b*c*d^4*e + 
    442368*a^10*b*d^6 + 4833935360*a^10*b*d*e^4 + 94371840*a^10*c^4*d*e^2 - 133169152*a^10*c^3*d^3*e + 24772608*a^10*c^2*d^5 
    + 369098752*a^10*c^2*e^4 - 611319808*a^10*c*d^2*e^3 + 455344128*a^10*d^4*e^2 + 287309824*a^9*b^4*d*e^3 + 
    12320768*a^9*b^3*c^2*e^3 - 226885632*a^9*b^3*c*d^2*e^2 + 2932736*a^9*b^3*d^4*e - 757334016*a^9*b^2*c^3*d*e^2 + 
    74711040*a^9*b^2*c^2*d^3*e - 2801664*a^9*b^2*c*d^5 - 13656653824*a^9*b^2*c*e^4 - 385875968*a^9*b^2*d^2*e^3 - 
    270532608*a^9*b*c^5*e^2 + 434700288*a^9*b*c^4*d^2*e - 80248832*a^9*b*c^3*d^4 - 311951360*a^9*b*c^2*d*e^3 + 
    663748608*a^9*b*c*d^3*e^2 - 424968192*a^9*b*d^5*e + 54327771136*a^9*b*e^5 - 18874368*a^9*c^6*d*e + 3538944*a^9*c^5*d^3 + 
    1423966208*a^9*c^4*e^3 - 1476657152*a^9*c^3*d^2*e^2 + 1117913088*a^9*c^2*d^4*e - 172965888*a^9*c*d^6 - 
    390070272*a^9*c*d*e^4 - 2451570688*a^9*d^3*e^3 - 43515904*a^8*b^5*c*e^3 - 16760832*a^8*b^5*d^2*e^2 + 
    580386816*a^8*b^4*c^2*d*e^2 + 2588672*a^8*b^4*c*d^3*e - 671744*a^8*b^4*d^5 + 4708892672*a^8*b^4*e^4 + 
    646250496*a^8*b^3*c^4*e^2 - 440795136*a^8*b^3*c^3*d^2*e + 71311360*a^8*b^3*c^2*d^4 + 11490557952*a^8*b^3*c*d*e^3 - 
    1010106368*a^8*b^3*d^3*e^2 - 192479232*a^8*b^2*c^5*d*e + 35618816*a^8*b^2*c^4*d^3 - 3487039488*a^8*b^2*c^3*e^3 - 
    4441374720*a^8*b^2*c^2*d^2*e^2 + 708182016*a^8*b^2*c*d^4*e + 90169344*a^8*b^2*d^6 - 63435177984*a^8*b^2*d*e^4 + 
    42467328*a^8*b*c^7*e - 6930432*a^8*b*c^6*d^2 + 799932416*a^8*b*c^4*d*e^2 - 1290928128*a^8*b*c^3*d^3*e + 
    154927104*a^8*b*c^2*d^5 + 11225792512*a^8*b*c^2*e^4 + 10405806080*a^8*b*c*d^2*e^3 - 3355754496*a^8*b*d^4*e^2 - 
    196608*a^8*c^8*d - 511705088*a^8*c^6*e^2 + 610729984*a^8*c^5*d^2*e - 105824256*a^8*c^4*d^4 - 9658957824*a^8*c^3*d*e^3 + 
    686555136*a^8*c^2*d^3*e^2 - 1516929024*a^8*c*d^5*e - 67187507200*a^8*c*e^5 + 254361600*a^8*d^7 + 9174515712*a^8*d^2*e^4 +
    5652480*a^7*b^7*e^3 - 154189824*a^7*b^6*c*d*e^2 + 1343488*a^7*b^6*d^3*e - 537624576*a^7*b^5*c^3*e^2 + 
    160481280*a^7*b^5*c^2*d^2*e - 24244224*a^7*b^5*c*d^4 - 4131291136*a^7*b^5*d*e^3 + 264142848*a^7*b^4*c^4*d*e - 
    44564480*a^7*b^4*c^3*d^3 + 137232384*a^7*b^4*c^2*e^3 + 543277056*a^7*b^4*c*d^2*e^2 - 61349888*a^7*b^4*d^4*e - 
    56934400*a^7*b^3*c^6*e + 12312576*a^7*b^3*c^5*d^2 + 5334630400*a^7*b^3*c^3*d*e^2 + 1417379840*a^7*b^3*c^2*d^3*e - 
    325099520*a^7*b^3*c*d^5 + 75866177536*a^7*b^3*c*e^4 + 16723640320*a^7*b^3*d^2*e^3 - 2211840*a^7*b^2*c^7*d + 
    3364618240*a^7*b^2*c^5*e^2 - 3743547392*a^7*b^2*c^4*d^2*e + 775397376*a^7*b^2*c^3*d^4 + 3152019456*a^7*b^2*c^2*d*e^3 - 
    3723657216*a^7*b^2*c*d^3*e^2 + 3683844096*a^7*b^2*d^5*e - 271743713280*a^7*b^2*e^5 + 393216*a^7*b*c^9 - 
    256671744*a^7*b*c^6*d*e + 28540928*a^7*b*c^5*d^3 - 10881269760*a^7*b*c^4*e^3 + 26868252672*a^7*b*c^3*d^2*e^2 - 
    8506687488*a^7*b*c^2*d^4*e + 1273036800*a^7*b*c*d^6 + 64706576384*a^7*b*c*d*e^4 + 16825516032*a^7*b*d^3*e^3 + 
    48955392*a^7*c^8*e - 10469376*a^7*c^7*d^2 + 5274599424*a^7*c^5*d*e^2 - 5687672832*a^7*c^4*d^3*e + 1000685568*a^7*c^3*d^5 
    + 14480572416*a^7*c^3*e^4 + 5149294592*a^7*c^2*d^2*e^3 + 11937988608*a^7*c*d^4*e^2 - 460931072*a^7*d^6*e + 
    40750284800*a^7*d*e^5 + 15224832*a^6*b^8*d*e^2 + 209657856*a^6*b^7*c^2*e^2 - 26222592*a^6*b^7*c*d^2*e + 
    2812928*a^6*b^7*d^4 - 131563520*a^6*b^6*c^3*d*e + 21176320*a^6*b^6*c^2*d^3 + 540377088*a^6*b^6*c*e^3 + 
    590487552*a^6*b^6*d^2*e^2 + 29319168*a^6*b^5*c^5*e - 10936320*a^6*b^5*c^4*d^2 - 4163665920*a^6*b^5*c^2*d*e^2 - 
    554467328*a^6*b^5*c*d^3*e + 69840896*a^6*b^5*d^5 - 25318899712*a^6*b^5*e^4 + 4218880*a^6*b^4*c^6*d - 
    6577799168*a^6*b^4*c^4*e^2 + 3124609024*a^6*b^4*c^3*d^2*e - 573128704*a^6*b^4*c^2*d^4 - 67146481664*a^6*b^4*c*d*e^3 + 
    1548664832*a^6*b^4*d^3*e^2 - 688128*a^6*b^3*c^8 + 2249048064*a^6*b^3*c^5*d*e - 475996160*a^6*b^3*c^4*d^3 + 
    23080730624*a^6*b^3*c^3*e^3 - 32292864*a^6*b^3*c^2*d^2*e^2 - 3048136704*a^6*b^3*c*d^4*e - 809861120*a^6*b^3*d^6 + 
    304166141952*a^6*b^3*d*e^4 - 435781632*a^6*b^2*c^7*e + 112533504*a^6*b^2*c^6*d^2 - 33465991168*a^6*b^2*c^4*d*e^2 + 
    22667034624*a^6*b^2*c^3*d^3*e - 3744792576*a^6*b^2*c^2*d^5 - 164962631680*a^6*b^2*c^2*e^4 - 85590081536*a^6*b^2*c*d^2*e^3
    + 3873202176*a^6*b^2*d^4*e^2 - 2457600*a^6*b*c^8*d + 81920*a^6*b*c^6*e^2 + 3141533696*a^6*b*c^5*d^2*e - 
    584613888*a^6*b*c^4*d^4 + 58318520320*a^6*b*c^3*d*e^3 - 42044030976*a^6*b*c^2*d^3*e^2 + 9634971648*a^6*b*c*d^5*e + 
    657329356800*a^6*b*c*e^5 - 2290843648*a^6*b*d^7 - 122179993600*a^6*b*d^2*e^4 - 520060928*a^6*c^7*d*e + 
    115113984*a^6*c^6*d^3 + 10724507648*a^6*c^5*e^3 - 32347160576*a^6*c^4*d^2*e^2 + 26682490880*a^6*c^3*d^4*e - 
    4379000832*a^6*c^2*d^6 - 22957916160*a^6*c^2*d*e^4 - 51517259776*a^6*c*d^3*e^3 - 6607126528*a^6*d^5*e^2 - 
    56197120000*a^6*e^6 - 39628800*a^5*b^9*c*e^2 + 1453824*a^5*b^9*d^2*e + 30111744*a^5*b^8*c^2*d*e - 4333568*a^5*b^8*c*d^3 -
    70643712*a^5*b^8*e^3 - 7061504*a^5*b^7*c^4*e + 5482496*a^5*b^7*c^3*d^2 + 1016242176*a^5*b^7*c*d*e^2 + 
    15474688*a^5*b^7*d^3*e - 2940928*a^5*b^6*c^5*d + 5053489152*a^5*b^6*c^3*e^2 - 1012580352*a^5*b^6*c^2*d^2*e + 
    188869632*a^5*b^6*c*d^4 + 22032547840*a^5*b^6*d*e^3 + 475136*a^5*b^5*c^7 - 2483576832*a^5*b^5*c^4*d*e + 
    515276800*a^5*b^5*c^3*d^3 - 2236678144*a^5*b^5*c^2*e^3 + 9363726336*a^5*b^5*c*d^2*e^2 + 628310016*a^5*b^5*d^4*e + 
    504676352*a^5*b^4*c^6*e - 143413248*a^5*b^4*c^5*d^2 + 10839998464*a^5*b^4*c^3*d*e^2 - 16859840512*a^5*b^4*c^2*d^3*e + 
    3477987328*a^5*b^4*c*d^5 - 166995771392*a^5*b^4*c*e^4 - 89899827200*a^5*b^4*d^2*e^3 + 14188544*a^5*b^3*c^7*d - 
    3350339584*a^5*b^3*c^5*e^2 + 654483456*a^5*b^3*c^4*d^2*e - 414056448*a^5*b^3*c^3*d^4 + 53617917952*a^5*b^3*c^2*d*e^3 + 
    46854356992*a^5*b^3*c*d^3*e^2 - 12935233536*a^5*b^3*d^5*e + 595933184000*a^5*b^3*e^5 - 1769472*a^5*b^2*c^9 + 
    380583936*a^5*b^2*c^6*d*e - 91791360*a^5*b^2*c^5*d^3 + 15565783040*a^5*b^2*c^4*e^3 - 64241319936*a^5*b^2*c^3*d^2*e^2 + 
    5452308480*a^5*b^2*c^2*d^4*e + 1192738816*a^5*b^2*c*d^6 - 566029762560*a^5*b^2*c*d*e^4 + 4628086784*a^5*b^2*d^3*e^3 + 
    206061568*a^5*b*c^8*e - 21200896*a^5*b*c^7*d^2 - 79593472*a^5*b*c^5*d*e^2 - 8505163776*a^5*b*c^4*d^3*e + 
    1110065152*a^5*b*c^3*d^5 - 22416752640*a^5*b*c^3*e^4 + 70396510208*a^5*b*c^2*d^2*e^3 - 31800098816*a^5*b*c*d^4*e^2 + 
    6419644416*a^5*b*d^6*e - 301060096000*a^5*b*d*e^5 - 1458176*a^5*c^9*d - 3747856384*a^5*c^7*e^2 + 5511806976*a^5*c^6*d^2*e
    - 1020805120*a^5*c^5*d^4 - 83908034560*a^5*c^4*d*e^3 + 60064890880*a^5*c^3*d^3*e^2 - 48341303296*a^5*c^2*d^5*e - 
    372031488000*a^5*c^2*e^5 + 7720009728*a^5*c*d^7 + 103686553600*a^5*c*d^2*e^4 + 49082449920*a^5*d^4*e^3 + 
    2937600*a^4*b^11*e^2 - 2891520*a^4*b^10*c*d*e + 317760*a^4*b^10*d^3 + 737280*a^4*b^9*c^3*e - 1625280*a^4*b^9*c^2*d^2 - 
    96818688*a^4*b^9*d*e^2 + 1009920*a^4*b^8*c^4*d - 1863727104*a^4*b^8*c^2*e^2 + 160773888*a^4*b^8*c*d^2*e - 
    22384064*a^4*b^8*d^4 - 163840*a^4*b^7*c^6 + 1107628032*a^4*b^7*c^3*d*e - 231920640*a^4*b^7*c^2*d^3 - 
    2390392832*a^4*b^7*c*e^3 - 4549416960*a^4*b^7*d^2*e^2 - 236957696*a^4*b^6*c^5*e + 89921536*a^4*b^6*c^4*d^2 - 
    376086528*a^4*b^6*c^2*d*e^2 + 4416978944*a^4*b^6*c*d^3*e - 635444224*a^4*b^6*d^5 + 60882935808*a^4*b^6*e^4 - 
    21139456*a^4*b^5*c^6*d + 12395970560*a^4*b^5*c^4*e^2 - 894140416*a^4*b^5*c^3*d^2*e + 97222656*a^4*b^5*c^2*d^4 + 
    156454486016*a^4*b^5*c*d*e^3 + 1280729088*a^4*b^5*d^3*e^2 + 3080192*a^4*b^4*c^8 - 4992188416*a^4*b^4*c^5*d*e + 
    1329278976*a^4*b^4*c^4*d^3 - 67811164160*a^4*b^4*c^3*e^3 - 767508480*a^4*b^4*c^2*d^2*e^2 + 10787123200*a^4*b^4*c*d^4*e + 
    1731041280*a^4*b^4*d^6 - 634748108800*a^4*b^4*d*e^4 + 692756480*a^4*b^3*c^7*e - 276824064*a^4*b^3*c^6*d^2 + 
    115157934080*a^4*b^3*c^4*d*e^2 - 44870123520*a^4*b^3*c^3*d^3*e + 7545192448*a^4*b^3*c^2*d^5 + 
    678018457600*a^4*b^3*c^2*e^4 + 305871667200*a^4*b^3*c*d^2*e^3 + 1314078720*a^4*b^3*d^4*e^2 - 2383872*a^4*b^2*c^8*d + 
    14208114688*a^4*b^2*c^6*e^2 - 20619862016*a^4*b^2*c^5*d^2*e + 4383920128*a^4*b^2*c^4*d^4 - 94801592320*a^4*b^2*c^3*d*e^3 
    + 99749396480*a^4*b^2*c^2*d^3*e^2 - 83329024*a^4*b^2*c*d^5*e - 2104647680000*a^4*b^2*c*e^5 + 4373348352*a^4*b^2*d^7 + 
    546743296000*a^4*b^2*d^2*e^4 + 2916352*a^4*b*c^10 - 1414561792*a^4*b*c^7*d*e + 55476224*a^4*b*c^6*d^3 - 
    51676905472*a^4*b*c^5*e^3 + 204708495360*a^4*b*c^4*d^2*e^2 - 76773130240*a^4*b*c^3*d^4*e + 12546162688*a^4*b*c^2*d^6 + 
    400056320000*a^4*b*c^2*d*e^4 + 146957926400*a^4*b*c*d^3*e^3 + 7567343616*a^4*b*d^5*e^2 + 395212800000*a^4*b*e^6 + 
    336297984*a^4*c^9*e - 69943296*a^4*c^8*d^2 + 36081205248*a^4*c^6*d*e^2 - 39059718144*a^4*c^5*d^3*e + 
    6858031104*a^4*c^4*d^5 + 136185856000*a^4*c^4*e^4 + 91403059200*a^4*c^3*d^2*e^3 + 44302663680*a^4*c^2*d^4*e^2 + 
    22450667520*a^4*c*d^6*e + 381644800000*a^4*c*d*e^5 - 4162437120*a^4*d^8 - 117401600000*a^4*d^3*e^4 + 60480*a^3*b^12*d*e -
    20160*a^3*b^11*c^2*e + 262080*a^3*b^11*c*d^2 - 171840*a^3*b^10*c^3*d + 336245760*a^3*b^10*c*e^2 - 8783424*a^3*b^10*d^2*e 
    + 28160*a^3*b^9*c^5 - 231487104*a^3*b^9*c^2*d*e + 46272768*a^3*b^9*c*d^3 + 310540032*a^3*b^9*e^3 + 52121344*a^3*b^8*c^4*e
    - 32357056*a^3*b^8*c^3*d^2 + 183839232*a^3*b^8*c*d*e^2 - 147289088*a^3*b^8*d^3*e + 13303808*a^3*b^7*c^5*d - 
    10763679744*a^3*b^7*c^3*e^2 + 210536448*a^3*b^7*c^2*d^2*e - 112506880*a^3*b^7*c*d^4 - 51327508480*a^3*b^7*d*e^3 - 
    2072576*a^3*b^6*c^7 + 5396008960*a^3*b^6*c^4*d*e - 1347007488*a^3*b^6*c^3*d^3 + 12992274432*a^3*b^6*c^2*e^3 - 
    30175918080*a^3*b^6*c*d^2*e^2 - 2602178560*a^3*b^6*d^4*e - 977055744*a^3*b^5*c^6*e + 321781760*a^3*b^5*c^5*d^2 - 
    78059405312*a^3*b^5*c^3*d*e^2 + 40591642624*a^3*b^5*c^2*d^3*e - 9096798208*a^3*b^5*c*d^5 + 65099878400*a^3*b^5*c*e^4 + 
    187333287936*a^3*b^5*d^2*e^3 + 8892416*a^3*b^4*c^7*d - 31634927616*a^3*b^4*c^5*e^2 + 23212052480*a^3*b^4*c^4*d^2*e - 
    5095770112*a^3*b^4*c^3*d^4 - 345827409920*a^3*b^4*c^2*d*e^3 - 154113556480*a^3*b^4*c*d^3*e^2 + 17732173824*a^3*b^4*d^5*e 
    - 472202240000*a^3*b^4*e^5 - 4276224*a^3*b^3*c^9 + 9048711168*a^3*b^3*c^6*d*e - 1670959104*a^3*b^3*c^5*d^3 + 
    48208977920*a^3*b^3*c^4*e^3 - 91247329280*a^3*b^3*c^3*d^2*e^2 + 17099735040*a^3*b^3*c^2*d^4*e - 13662175232*a^3*b^3*c*d^6
    + 1613392896000*a^3*b^3*c*d*e^4 - 202466918400*a^3*b^3*d^3*e^3 - 2238201856*a^3*b^2*c^8*e + 660779008*a^3*b^2*c^7*d^2 - 
    225966727168*a^3*b^2*c^5*d*e^2 + 165786910720*a^3*b^2*c^4*d^3*e - 30345854976*a^3*b^2*c^3*d^5 - 
    505367552000*a^3*b^2*c^3*e^4 - 589361561600*a^3*b^2*c^2*d^2*e^3 - 36464721920*a^3*b^2*c*d^4*e^2 - 
    26344046592*a^3*b^2*d^6*e + 594329600000*a^3*b^2*d*e^5 - 26214400*a^3*b*c^9*d - 37486592*a^3*b*c^7*e^2 + 
    17010819072*a^3*b*c^6*d^2*e - 2600714240*a^3*b*c^5*d^4 + 270463795200*a^3*b*c^4*d*e^3 - 564092108800*a^3*b*c^3*d^3*e^2 + 
    183217389568*a^3*b*c^2*d^5*e + 2278451200000*a^3*b*c^2*e^5 - 33238745088*a^3*b*c*d^7 - 750428160000*a^3*b*c*d^2*e^4 - 
    154230784000*a^3*b*d^4*e^3 - 3122036736*a^3*c^8*d*e + 715440128*a^3*c^7*d^3 - 2764800000*a^3*c^6*e^3 - 
    179189858304*a^3*c^5*d^2*e^2 + 163880714240*a^3*c^4*d^4*e - 27837513728*a^3*c^3*d^6 - 371619840000*a^3*c^3*d*e^4 - 
    342945792000*a^3*c^2*d^3*e^3 - 97671577600*a^3*c*d^5*e^2 - 492800000000*a^3*c*e^6 + 3766484992*a^3*d^7*e + 
    80537600000*a^3*d^2*e^5 - 17280*a^2*b^13*d^2 + 11520*a^2*b^12*c^2*d - 23880960*a^2*b^12*e^2 - 1920*a^2*b^11*c^4 + 
    19699200*a^2*b^11*c*d*e - 3350400*a^2*b^11*d^3 - 4761600*a^2*b^10*c^3*e + 7526400*a^2*b^10*c^2*d^2 + 
    1814976*a^2*b^10*d*e^2 - 4323200*a^2*b^9*c^4*d + 4027756608*a^2*b^9*c^2*e^2 - 113995008*a^2*b^9*c*d^2*e + 
    26392064*a^2*b^9*d^4 + 696320*a^2*b^8*c^6 - 2263377792*a^2*b^8*c^3*d*e + 598574464*a^2*b^8*c^2*d^3 + 
    3412012800*a^2*b^8*c*e^3 + 11491030656*a^2*b^8*d^2*e^2 + 455837696*a^2*b^7*c^5*e - 156883968*a^2*b^7*c^4*d^2 + 
    30296656896*a^2*b^7*c^2*d*e^2 - 9772015616*a^2*b^7*c*d^3*e + 1686196224*a^2*b^7*d^5 - 56485770240*a^2*b^7*e^4 - 
    3414016*a^2*b^6*c^6*d + 18717952000*a^2*b^6*c^4*e^2 - 16110647296*a^2*b^6*c^3*d^2*e + 4371990528*a^2*b^6*c^2*d^4 - 
    88576319488*a^2*b^6*c*d*e^3 - 3273580544*a^2*b^6*d^3*e^2 + 2121728*a^2*b^5*c^8 - 5777412096*a^2*b^5*c^5*d*e + 
    1024954368*a^2*b^5*c^4*d^3 + 86047571968*a^2*b^5*c^3*e^3 + 154480625664*a^2*b^5*c^2*d^2*e^2 - 12196945920*a^2*b^5*c*d^4*e
    - 40943616*a^2*b^5*d^6 + 476472422400*a^2*b^5*d*e^4 + 1715154944*a^2*b^4*c^7*e - 580706304*a^2*b^4*c^6*d^2 + 
    101187235840*a^2*b^4*c^4*d*e^2 - 75487784960*a^2*b^4*c^3*d^3*e + 19415633920*a^2*b^4*c^2*d^5 - 
    859486208000*a^2*b^4*c^2*e^4 - 412500787200*a^2*b^4*c*d^2*e^3 + 37407436800*a^2*b^4*d^4*e^2 + 39915520*a^2*b^3*c^8*d + 
    21164900352*a^2*b^3*c^6*e^2 - 49306742784*a^2*b^3*c^5*d^2*e + 10120724480*a^2*b^3*c^4*d^4 + 
    292902912000*a^2*b^3*c^3*d*e^3 + 452433756160*a^2*b^3*c^2*d^3*e^2 - 53722611712*a^2*b^3*c*d^5*e + 
    2150220800000*a^2*b^3*c*e^5 + 3607265280*a^2*b^3*d^7 - 921436160000*a^2*b^3*d^2*e^4 - 1179648*a^2*b^2*c^10 + 
    4864180224*a^2*b^2*c^7*d*e - 2008965120*a^2*b^2*c^6*d^3 + 104865832960*a^2*b^2*c^5*e^3 + 217880248320*a^2*b^2*c^4*d^2*e^2
    - 190310154240*a^2*b^2*c^3*d^4*e + 47222390784*a^2*b^2*c^2*d^6 - 1475665920000*a^2*b^2*c^2*d*e^4 + 
    393175040000*a^2*b^2*c*d^3*e^3 + 78394245120*a^2*b^2*d^5*e^2 - 714624000000*a^2*b^2*e^6 + 906854400*a^2*b*c^9*e - 
    101498880*a^2*b*c^8*d^2 + 71381286912*a^2*b*c^6*d*e^2 - 115014221824*a^2*b*c^5*d^3*e + 19719454720*a^2*b*c^4*d^5 - 
    314931200000*a^2*b*c^4*e^4 + 510664704000*a^2*b*c^3*d^2*e^3 + 409092505600*a^2*b*c^2*d^4*e^2 - 67968761856*a^2*b*c*d^6*e 
    - 1701068800000*a^2*b*c*d*e^5 + 18265014272*a^2*b*d^8 + 242380800000*a^2*b*d^3*e^4 - 884736*a^2*c^10*d - 
    1445363712*a^2*c^8*e^2 + 11852808192*a^2*c^7*d^2*e - 2725101568*a^2*c^6*d^4 - 13265305600*a^2*c^5*d*e^3 + 
    396873318400*a^2*c^4*d^3*e^2 - 337851285504*a^2*c^3*d^5*e - 623923200000*a^2*c^3*e^5 + 57060720640*a^2*c^2*d^7 + 
    588748800000*a^2*c^2*d^2*e^4 + 602972160000*a^2*c*d^4*e^3 + 17521868800*a^2*d^6*e^2 + 106240000000*a^2*d*e^6 - 
    241920*a*b^13*d*e + 80640*a*b^12*c^2*e - 1082880*a*b^12*c*d^2 + 710400*a*b^11*c^3*d - 711656640*a*b^11*c*e^2 + 
    11596032*a*b^11*d^2*e - 116480*a*b^10*c^5 + 437441472*a*b^10*c^2*d*e - 118311424*a*b^10*c*d^3 - 474353856*a*b^10*e^3 - 
    93248192*a*b^9*c^4*e + 31566848*a*b^9*c^3*d^2 - 7242861312*a*b^9*c*d*e^2 + 243256320*a*b^9*d^3*e + 1125056*a*b^8*c^5*d - 
    4400865984*a*b^8*c^3*e^2 + 4819548672*a*b^8*c^2*d^2*e - 1090304000*a*b^8*c*d^4 + 43543850496*a*b^8*d*e^3 - 
    520192*a*b^7*c^7 + 1385452544*a*b^7*c^4*d*e - 454209536*a*b^7*c^3*d^3 - 30248826880*a*b^7*c^2*e^3 - 
    9147205632*a*b^7*c*d^2*e^2 + 3342376960*a*b^7*d^4*e - 483373056*a*b^6*c^6*e + 254705664*a*b^6*c^5*d^2 - 
    46368414720*a*b^6*c^3*d*e^2 - 5402458112*a*b^6*c^2*d^3*e + 1287766016*a*b^6*c*d^5 + 159075814400*a*b^6*c*e^4 - 
    140414412800*a*b^6*d^2*e^3 - 28659712*a*b^5*c^7*d - 6797516800*a*b^5*c^5*e^2 + 38387554304*a*b^5*c^4*d^2*e - 
    9746956288*a*b^5*c^3*d^4 + 429310443520*a*b^5*c^2*d*e^3 - 1230348288*a*b^5*c*d^3*e^2 - 6674153472*a*b^5*d^5*e - 
    20751360000*a*b^5*e^5 + 1515520*a*b^4*c^9 - 6194221056*a*b^4*c^6*d*e + 2245683200*a*b^4*c^5*d^3 - 
    208518451200*a*b^4*c^4*e^3 - 359040829440*a*b^4*c^3*d^2*e^2 + 92339732480*a*b^4*c^2*d^4*e - 8551989248*a*b^4*c*d^6 - 
    1328921600000*a*b^4*c*d*e^4 + 314937344000*a*b^4*d^3*e^3 - 174575616*a*b^3*c^8*e - 9646080*a*b^3*c^7*d^2 + 
    75540361216*a*b^3*c^5*d*e^2 + 37039390720*a*b^3*c^4*d^3*e - 16743661568*a*b^3*c^3*d^5 + 1449891840000*a*b^3*c^3*e^4 + 
    523382784000*a*b^3*c^2*d^2*e^3 - 299592499200*a*b^3*c*d^4*e^2 + 30080827392*a*b^3*d^6*e - 34406400000*a*b^3*d*e^5 - 
    16330752*a*b^2*c^9*d - 18982440960*a*b^2*c^7*e^2 + 18426322944*a*b^2*c^6*d^2*e - 1089601536*a*b^2*c^5*d^4 - 
    628023296000*a*b^2*c^4*d*e^3 - 258060697600*a*b^2*c^3*d^3*e^2 + 63893258240*a*b^2*c^2*d^5*e - 3223424000000*a*b^2*c^2*e^5
    - 16319119360*a*b^2*c*d^7 + 1935923200000*a*b^2*c*d^2*e^4 - 18954240000*a*b^2*d^4*e^3 + 1769472*a*b*c^11 - 
    4908072960*a*b*c^8*d*e + 957415424*a*b*c^7*d^3 - 41214361600*a*b*c^6*e^3 - 33687552000*a*b*c^5*d^2*e^2 + 
    183097507840*a*b*c^4*d^4*e - 37345034240*a*b*c^3*d^6 + 1419110400000*a*b*c^3*d*e^4 - 704593920000*a*b*c^2*d^3*e^3 - 
    290984755200*a*b*c*d^5*e^2 + 1776640000000*a*b*c*e^6 - 10964172800*a*b*d^7*e + 230400000000*a*b*d^2*e^5 + 
    63700992*a*c^10*e - 13271040*a*c^9*d^2 - 373063680*a*c^7*d*e^2 - 17629790208*a*c^6*d^3*e + 4287676416*a*c^5*d^5 + 
    252272640000*a*c^5*e^4 - 436561920000*a*c^4*d^2*e^3 - 198359040000*a*c^3*d^4*e^2 + 287073239040*a*c^2*d^6*e + 
    726272000000*a*c^2*d*e^5 - 51667009536*a*c*d^8 - 828620800000*a*c*d^3*e^4 - 222085120000*a*d^5*e^3 - 96000000000*a*e^7 + 
    69120*b^14*d^2 - 46080*b^13*c^2*d + 48522240*b^13*e^2 + 7680*b^12*c^4 - 32048640*b^12*c*d*e + 8386560*b^12*d^3 + 
    7088640*b^11*c^3*e - 2136960*b^11*c^2*d^2 + 569402496*b^11*d*e^2 - 175360*b^10*c^4*d + 393582528*b^10*c^2*e^2 - 
    400771584*b^10*c*d^2*e + 75636736*b^10*d^4 + 51840*b^9*c^6 - 148161280*b^9*c^3*d*e + 63233536*b^9*c^2*d^3 + 
    1338111744*b^9*c*e^3 - 6538387968*b^9*d^2*e^2 + 50322816*b^8*c^5*e - 32244928*b^8*c^4*d^2 + 9277886592*b^8*c^2*d*e^2 + 
    4050438144*b^8*c*d^3*e - 816152576*b^8*d^5 + 2909640000*b^8*e^4 + 4052992*b^7*c^6*d + 290711552*b^7*c^4*e^2 - 
    7338696704*b^7*c^3*d^2*e + 1552601088*b^7*c^2*d^4 - 74966958080*b^7*c*d*e^3 + 17343107072*b^7*d^3*e^2 - 229376*b^6*c^8 + 
    1449990144*b^6*c^5*d*e - 229901312*b^6*c^4*d^3 + 34773729280*b^6*c^3*e^3 + 27430354944*b^6*c^2*d^2*e^2 - 
    17062838272*b^6*c*d^4*e + 1346502656*b^6*d^6 + 1174912000*b^6*d*e^4 - 24088576*b^5*c^7*e - 74680320*b^5*c^6*d^2 - 
    378859520*b^5*c^4*d*e^2 + 12301475840*b^5*c^3*d^3*e - 916733952*b^5*c^2*d^5 - 133810944000*b^5*c^2*e^4 + 
    189802700800*b^5*c*d^2*e^3 - 16160931840*b^5*d^4*e^2 + 19435520*b^4*c^8*d + 2100834304*b^4*c^6*e^2 - 
    17089273856*b^4*c^5*d^2*e + 3620648960*b^4*c^4*d^4 - 237677568000*b^4*c^3*d*e^3 - 49326592000*b^4*c^2*d^3*e^2 + 
    16887513088*b^4*c*d^5*e + 49062400000*b^4*c*e^5 - 309854208*b^4*d^7 + 176249600000*b^4*d^2*e^4 - 1548288*b^3*c^10 + 
    4392112128*b^3*c^7*d*e - 1239236608*b^3*c^6*d^3 + 99510784000*b^3*c^5*e^3 + 210493849600*b^3*c^4*d^2*e^2 - 
    60318679040*b^3*c^3*d^4*e + 6621134848*b^3*c^2*d^6 + 744806400000*b^3*c^2*d*e^4 - 610549760000*b^3*c*d^3*e^3 + 
    16846848000*b^3*d^5*e^2 + 32000000000*b^3*e^6 - 285106176*b^2*c^9*e + 125448192*b^2*c^8*d^2 - 81458503680*b^2*c^6*d*e^2 -
    2628190208*b^2*c^5*d^3*e + 3634675712*b^2*c^4*d^5 - 679692800000*b^2*c^4*e^4 - 86630400000*b^2*c^3*d^2*e^3 + 
    437733376000*b^2*c^2*d^4*e^2 - 43372380160*b^2*c*d^6*e + 230912000000*b^2*c*d*e^5 - 320864256*b^2*d^8 - 
    230860800000*b^2*d^3*e^4 - 4423680*b*c^10*d + 10621255680*b*c^8*e^2 + 2828058624*b*c^7*d^2*e - 1188724736*b*c^6*d^4 + 
    378714112000*b*c^5*d*e^3 - 189485056000*b*c^4*d^3*e^2 - 58275594240*b*c^3*d^5*e + 1476608000000*b*c^3*e^5 + 
    18216255488*b*c^2*d^7 - 1407385600000*b*c^2*d^2*e^4 + 271769600000*b*c*d^4*e^3 + 113229824000*b*d^6*e^2 - 
    524800000000*b*d*e^6 - 199065600*c^9*d*e + 48660480*c^8*d^3 - 23998464000*c^7*e^3 + 15047884800*c^6*d^2*e^2 + 
    5850562560*c^5*d^4*e - 1986314240*c^4*d^6 - 588288000000*c^4*d*e^4 + 695910400000*c^3*d^3*e^3 - 122892288000*c^2*d^5*e^2 
    - 934400000000*c^2*e^6 - 69559910400*c*d^7*e + 404480000000*c*d^2*e^5 + 16064184320*d^9 + 240896000000*d^4*e^4
;
M[3][5,2] :=
                                -M[3][2,5];
M[4][2,5] :=
1174405120*a^12*c*e^4 - 163577856*a^12*d^2*e^3 - 440401920*a^11*b^2*e^4 - 1010827264*a^11*b*c*d*e^3 + 
    122683392*a^11*b*d^3*e^2 + 167772160*a^11*c^3*e^3 + 550502400*a^11*c^2*d^2*e^2 - 127401984*a^11*c*d^4*e + 
    5308416*a^11*d^6 + 41943040*a^11*d*e^4 + 399507456*a^10*b^3*d*e^3 + 63963136*a^10*b^2*c^2*e^3 - 
    125829120*a^10*b^2*c*d^2*e^2 + 17104896*a^10*b^2*d^4*e - 676331520*a^10*b*c^3*d*e^2 - 20447232*a^10*b*c^2*d^3*e + 
    15925248*a^10*b*c*d^5 - 16462643200*a^10*b*c*e^4 + 2248146944*a^10*b*d^2*e^3 - 297795584*a^10*c^5*e^2 + 
    376176640*a^10*c^4*d^2*e - 68812800*a^10*c^3*d^4 - 1969225728*a^10*c^2*d*e^3 - 242221056*a^10*c*d^3*e^2 - 
    3538944*a^10*d^5*e - 1690304512*a^10*e^5 - 73924608*a^9*b^4*c*e^3 - 51314688*a^9*b^4*d^2*e^2 + 
    533200896*a^9*b^3*c^2*d*e^2 + 19791872*a^9*b^3*c*d^3*e - 5406720*a^9*b^3*d^5 + 5987368960*a^9*b^3*e^4 + 
    727449600*a^9*b^2*c^4*e^2 - 379846656*a^9*b^2*c^3*d^2*e + 60063744*a^9*b^2*c^2*d^4 + 15028191232*a^9*b^2*c*d*e^3 - 
    1534328832*a^9*b^2*d^3*e^2 - 227278848*a^9*b*c^5*d*e + 43581440*a^9*b*c^4*d^3 - 1154482176*a^9*b*c^3*e^3 - 
    5178654720*a^9*b*c^2*d^2*e^2 + 1754333184*a^9*b*c*d^4*e - 66797568*a^9*b*d^6 + 1561329664*a^9*b*d*e^4 + 
    44040192*a^9*c^7*e - 8454144*a^9*c^6*d^2 + 2094530560*a^9*c^4*d*e^2 - 1944059904*a^9*c^3*d^3*e + 300220416*a^9*c^2*d^5 + 
    20859322368*a^9*c^2*e^4 - 1737490432*a^9*c*d^2*e^3 + 663158784*a^9*d^4*e^2 + 9240576*a^8*b^6*e^3 - 
    138608640*a^8*b^5*c*d*e^2 + 2162688*a^8*b^5*d^3*e - 612237312*a^8*b^4*c^3*e^2 + 139591680*a^8*b^4*c^2*d^2*e - 
    20381696*a^8*b^4*c*d^4 - 5463212032*a^8*b^4*d*e^3 + 289472512*a^8*b^3*c^4*d*e - 51970048*a^8*b^3*c^3*d^3 - 
    1884028928*a^8*b^3*c^2*e^3 + 81788928*a^8*b^3*c*d^2*e^2 - 248430592*a^8*b^3*d^4*e - 58785792*a^8*b^2*c^6*e + 
    14745600*a^8*b^2*c^5*d^2 + 3769368576*a^8*b^2*c^3*d*e^2 + 1844969472*a^8*b^2*c^2*d^3*e - 435830784*a^8*b^2*c*d^5 + 
    78776369152*a^8*b^2*c*e^4 - 13068009472*a^8*b^2*d^2*e^3 - 2555904*a^8*b*c^7*d + 2377383936*a^8*b*c^5*e^2 - 
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    1029227520000*a^2*b^2*c^3*e^4 - 502487040000*a^2*b^2*c^2*d^2*e^3 + 91980595200*a^2*b^2*c*d^4*e^2 - 
    27102855168*a^2*b^2*d^6*e - 296294400000*a^2*b^2*d*e^5 - 16515072*a^2*b*c^9*d - 14782660608*a^2*b*c^7*e^2 + 
    34719694848*a^2*b*c^6*d^2*e - 4866342912*a^2*b*c^5*d^4 - 127758336000*a^2*b*c^4*d*e^3 - 319551078400*a^2*b*c^3*d^3*e^2 + 
    73768402944*a^2*b*c^2*d^5*e - 209356800000*a^2*b*c^2*e^5 - 20832780288*a^2*b*c*d^7 + 237465600000*a^2*b*c*d^2*e^4 + 
    104448000000*a^2*b*d^4*e^3 + 1769472*a^2*c^11 - 7314112512*a^2*c^8*d*e + 1537753088*a^2*c^7*d^3 - 77620019200*a^2*c^6*e^3
    - 160384696320*a^2*c^5*d^2*e^2 + 201944842240*a^2*c^4*d^4*e - 35314679808*a^2*c^3*d^6 - 220825600000*a^2*c^3*d*e^4 - 
    261263360000*a^2*c^2*d^3*e^3 - 203277926400*a^2*c*d^5*e^2 - 24320000000*a^2*c*e^6 + 15894773760*a^2*d^7*e + 
    922368000000*a^2*d^2*e^5 + 69120*a*b^13*d^2 - 46080*a*b^12*c^2*d + 49792320*a*b^12*e^2 + 7680*a*b^11*c^4 - 
    31207680*a*b^11*c*d*e + 8570880*a*b^11*d^3 + 6729600*a*b^10*c^3*e - 2362560*a*b^10*c^2*d^2 + 640071360*a*b^10*d*e^2 - 
    117120*a*b^9*c^4*d + 642450240*a*b^9*c^2*e^2 - 426568704*a*b^9*c*d^2*e + 87244800*a*b^9*d^4 + 51840*a*b^8*c^6 - 
    288563584*a*b^8*c^3*d*e + 90460928*a*b^8*c^2*d^3 - 4037703168*a*b^8*c*e^3 - 5760575232*a*b^8*d^2*e^2 + 
    79632384*a*b^7*c^5*e - 39965696*a*b^7*c^4*d^2 + 18402634752*a*b^7*c^2*d*e^2 + 2641240064*a*b^7*c*d^3*e - 
    683081728*a*b^7*d^5 + 1826073600*a*b^7*e^4 + 4313088*a*b^6*c^6*d + 206620672*a*b^6*c^4*e^2 - 10363635712*a*b^6*c^3*d^2*e 
    + 2315110400*a*b^6*c^2*d^4 - 111443251200*a*b^6*c*d*e^3 + 9312303104*a*b^6*d^3*e^2 - 229376*a*b^5*c^8 + 
    1828282368*a*b^5*c^5*d*e - 390311936*a*b^5*c^4*d^3 + 17148231680*a*b^5*c^3*e^3 + 84105517056*a*b^5*c^2*d^2*e^2 - 
    15547138048*a*b^5*c*d^4*e - 141164544*a*b^5*d^6 + 234133504000*a*b^5*d*e^4 + 30507008*a*b^4*c^7*e - 
    74452992*a*b^4*c^6*d^2 + 25227304960*a*b^4*c^4*d*e^2 - 14579814400*a*b^4*c^3*d^3*e + 4948189184*a*b^4*c^2*d^5 - 
    293299200000*a*b^4*c^2*e^4 - 204906496000*a*b^4*c*d^2*e^3 + 32296755200*a*b^4*d^4*e^2 + 18677760*a*b^3*c^8*d - 
    762728448*a*b^3*c^6*e^2 - 20501643264*a*b^3*c^5*d^2*e + 4132126720*a*b^3*c^4*d^4 - 172331008000*a*b^3*c^3*d*e^3 + 
    195324723200*a*b^3*c^2*d^3*e^2 - 40627142656*a*b^3*c*d^5*e + 959283200000*a*b^3*c*e^5 + 4079484928*a*b^3*d^7 - 
    252876800000*a*b^3*d^2*e^4 - 1548288*a*b^2*c^10 + 6431268864*a*b^2*c^7*d*e - 1715085312*a*b^2*c^6*d^3 + 
    81627545600*a*b^2*c^5*e^3 + 255660441600*a*b^2*c^4*d^2*e^2 - 102314803200*a*b^2*c^3*d^4*e + 16999268352*a*b^2*c^2*d^6 - 
    473472000000*a*b^2*c^2*d*e^4 - 10117120000*a*b^2*c*d^3*e^3 + 18762547200*a*b^2*d^5*e^2 - 477440000000*a*b^2*e^6 - 
    372473856*a*b*c^9*e + 155566080*a*b*c^8*d^2 - 68027596800*a*b*c^6*d*e^2 - 30366334976*a*b*c^5*d^3*e + 
    8514732032*a*b*c^4*d^5 - 654848000000*a*b*c^4*e^4 + 207912960000*a*b*c^3*d^2*e^3 + 261310464000*a*b*c^2*d^4*e^2 - 
    13231718400*a*b*c*d^6*e + 258560000000*a*b*c*d*e^5 + 4706009088*a*b*d^8 - 252313600000*a*b*d^3*e^4 - 5308416*a*c^10*d + 
    9095086080*a*c^8*e^2 + 7771815936*a*c^7*d^2*e - 2252980224*a*c^6*d^4 + 215015424000*a*c^5*d*e^3 + 
    104744960000*a*c^4*d^3*e^2 - 187818147840*a*c^3*d^5*e + 373248000000*a*c^3*e^5 + 34624438272*a*c^2*d^7 - 
    360806400000*a*c^2*d^2*e^4 + 527155200000*a*c*d^4*e^3 - 12705792000*a*d^6*e^2 - 569600000000*a*d*e^6 - 103680*b^13*d*e + 
    34560*b^12*c^2*e + 11520*b^12*c*d^2 - 3840*b^11*c^3*d - 19327680*b^11*c*e^2 - 1843200*b^11*d^2*e + 12611520*b^10*c^2*d*e 
    - 2611200*b^10*c*d^3 + 547521984*b^10*e^3 - 2573760*b^9*c^4*e + 711680*b^9*c^3*d^2 - 895401216*b^9*c*d*e^2 + 
    96940032*b^9*d^3*e - 25920*b^8*c^5*d + 13327296*b^8*c^3*e^2 + 302625024*b^8*c^2*d^2*e - 82333696*b^8*c*d^4 + 
    1485646080*b^8*d*e^3 - 32082944*b^7*c^4*d*e + 17416192*b^7*c^3*d^3 + 3928504320*b^7*c^2*e^3 - 665376768*b^7*c*d^2*e^2 + 
    69861376*b^7*d^4*e - 7581696*b^6*c^6*e - 45056*b^6*c^5*d^2 - 7448593408*b^6*c^3*d*e^2 + 686331904*b^6*c^2*d^3*e + 
    11206656*b^6*c*d^5 - 1712256000*b^6*c*e^4 - 42654771200*b^6*d^2*e^3 + 114688*b^5*c^7*d + 1023238144*b^5*c^5*e^2 + 
    2883266560*b^5*c^4*d^2*e - 717619200*b^5*c^3*d^4 + 77140377600*b^5*c^2*d*e^3 + 46003118080*b^5*c*d^3*e^2 - 
    5010030592*b^5*d^5*e + 14476800000*b^5*e^5 - 964059136*b^4*c^6*d*e + 266024960*b^4*c^5*d^3 - 8428544000*b^4*c^4*e^3 - 
    92756736000*b^4*c^3*d^2*e^2 - 3649167360*b^4*c^2*d^4*e + 3172139008*b^4*c*d^6 - 408486400000*b^4*c*d*e^4 + 
    149345280000*b^4*d^3*e^3 + 71159808*b^3*c^8*e - 26927104*b^3*c^7*d^2 + 17318830080*b^3*c^5*d*e^2 + 
    28070789120*b^3*c^4*d^3*e - 6989086720*b^3*c^3*d^5 + 194252800000*b^3*c^3*e^4 + 384389120000*b^3*c^2*d^2*e^3 - 
    178247680000*b^3*c*d^4*e^2 + 17993564160*b^3*d^6*e + 237568000000*b^3*d*e^5 + 774144*b^2*c^9*d - 973025280*b^2*c^7*e^2 - 
    9055100928*b^2*c^6*d^2*e + 2291171328*b^2*c^5*d^4 - 174899200000*b^2*c^4*d*e^3 - 107382784000*b^2*c^3*d^3*e^2 + 
    49994711040*b^2*c^2*d^5*e - 788608000000*b^2*c^2*e^5 - 6934757376*b^2*c*d^7 + 334899200000*b^2*c*d^2*e^4 - 
    67635200000*b^2*d^4*e^3 + 879869952*b*c^8*d*e - 242270208*b*c^7*d^3 + 15796224000*b*c^6*e^3 + 33885388800*b*c^5*d^2*e^2 +
    13839974400*b*c^4*d^4*e - 4602986496*b*c^3*d^6 + 596531200000*b*c^3*d*e^4 - 238387200000*b*c^2*d^3*e^3 - 
    6070272000*b*c*d^5*e^2 + 742400000000*b*c*e^6 - 12346982400*b*d^7*e - 261120000000*b*d^2*e^5 - 26542080*c^10*e + 
    8847360*c^9*d^2 - 4556390400*c^7*d*e^2 - 3749560320*c^6*d^3*e + 1151057920*c^5*d^5 + 28262400000*c^5*e^4 - 
    120166400000*c^4*d^2*e^3 - 44328960000*c^3*d^4*e^2 + 71914291200*c^2*d^6*e - 119040000000*c^2*d*e^5 - 12913213440*c*d^8 -
    64512000000*c*d^3*e^4 - 48947200000*d^5*e^3 - 160000000000*e^7
;
M[4][5,2] :=
                                -M[4][2,5];
M[5][2,5] :=
1174405120*a^11*c*e^4 - 163577856*a^11*d^2*e^3 - 440401920*a^10*b^2*e^4 - 1010827264*a^10*b*c*d*e^3 + 
    122683392*a^10*b*d^3*e^2 + 167772160*a^10*c^3*e^3 + 550502400*a^10*c^2*d^2*e^2 - 127401984*a^10*c*d^4*e + 
    5308416*a^10*d^6 + 25165824*a^10*d*e^4 + 399507456*a^9*b^3*d*e^3 + 63963136*a^9*b^2*c^2*e^3 - 125829120*a^9*b^2*c*d^2*e^2
    + 17104896*a^9*b^2*d^4*e - 676331520*a^9*b*c^3*d*e^2 - 20447232*a^9*b*c^2*d^3*e + 15925248*a^9*b*c*d^5 - 
    16160653312*a^9*b*c*e^4 + 2224029696*a^9*b*d^2*e^3 - 297795584*a^9*c^5*e^2 + 376176640*a^9*c^4*d^2*e - 
    68812800*a^9*c^3*d^4 - 1902116864*a^9*c^2*d*e^3 - 147849216*a^9*c*d^3*e^2 - 17694720*a^9*d^5*e + 1950351360*a^9*e^5 - 
    73924608*a^8*b^4*c*e^3 - 51314688*a^8*b^4*d^2*e^2 + 533200896*a^8*b^3*c^2*d*e^2 + 19791872*a^8*b^3*c*d^3*e - 
    5406720*a^8*b^3*d^5 + 5875171328*a^8*b^3*e^4 + 727449600*a^8*b^2*c^4*e^2 - 379846656*a^8*b^2*c^3*d^2*e + 
    60063744*a^8*b^2*c^2*d^4 + 14712569856*a^8*b^2*c*d*e^3 - 1545338880*a^8*b^2*d^3*e^2 - 227278848*a^8*b*c^5*d*e + 
    43581440*a^8*b*c^4*d^3 - 1146093568*a^8*b*c^3*e^3 - 5232918528*a^8*b*c^2*d^2*e^2 + 1710686208*a^8*b*c*d^4*e - 
    61931520*a^8*b*d^6 - 2752512000*a^8*b*d*e^4 + 44040192*a^8*c^7*e - 8454144*a^8*c^6*d^2 + 2000158720*a^8*c^4*d*e^2 - 
    1810890752*a^8*c^3*d^3*e + 275447808*a^8*c^2*d^5 + 21362638848*a^8*c^2*e^4 - 1300234240*a^8*c*d^2*e^3 + 
    229048320*a^8*d^4*e^2 + 9240576*a^7*b^6*e^3 - 138608640*a^7*b^5*c*d*e^2 + 2162688*a^7*b^5*d^3*e - 
    612237312*a^7*b^4*c^3*e^2 + 139591680*a^7*b^4*c^2*d^2*e - 20381696*a^7*b^4*c*d^4 - 5351014400*a^7*b^4*d*e^3 + 
    289472512*a^7*b^3*c^4*d*e - 51970048*a^7*b^3*c^3*d^3 - 1832386560*a^7*b^3*c^2*e^3 + 182845440*a^7*b^3*c*d^2*e^2 - 
    234258432*a^7*b^3*d^4*e - 58785792*a^7*b^2*c^6*e + 14745600*a^7*b^2*c^5*d^2 + 3850371072*a^7*b^2*c^3*d*e^2 + 
    1749811200*a^7*b^2*c^2*d^3*e - 417103872*a^7*b^2*c*d^5 + 75569823744*a^7*b^2*c*e^4 - 10646323200*a^7*b^2*d^2*e^3 - 
    2555904*a^7*b*c^7*d + 2350120960*a^7*b*c^5*e^2 - 2515730432*a^7*b*c^4*d^2*e + 538247168*a^7*b*c^3*d^4 + 
    1336410112*a^7*b*c^2*d*e^3 + 2180382720*a^7*b*c*d^3*e^2 + 84541440*a^7*b*d^5*e - 21941452800*a^7*b*e^5 + 393216*a^7*c^9 -
    133300224*a^7*c^6*d*e + 8978432*a^7*c^5*d^3 - 1247019008*a^7*c^4*e^3 + 7358644224*a^7*c^3*d^2*e^2 - 
    414056448*a^7*c^2*d^4*e - 35684352*a^7*c*d^6 - 23944232960*a^7*c*d*e^4 + 484179968*a^7*d^3*e^3 + 13860864*a^6*b^7*d*e^2 +
    241139712*a^6*b^6*c^2*e^2 - 23887872*a^6*b^6*c*d^2*e + 2457600*a^6*b^6*d^4 - 140378112*a^6*b^5*c^3*d*e + 
    24559616*a^6*b^5*c^2*d^3 + 1232666624*a^6*b^5*c*e^3 + 877854720*a^6*b^5*d^2*e^2 + 29949952*a^6*b^4*c^5*e - 
    12427264*a^6*b^4*c^4*d^2 - 3200974848*a^6*b^4*c^2*d*e^2 - 611385344*a^6*b^4*c*d^3*e + 106364928*a^6*b^4*d^5 - 
    28857270272*a^6*b^4*e^4 + 4456448*a^6*b^3*c^6*d - 6004211712*a^6*b^3*c^4*e^2 + 2265251840*a^6*b^3*c^3*d^2*e - 
    402128896*a^6*b^3*c^2*d^4 - 71351271424*a^6*b^3*c*d*e^3 + 7267614720*a^6*b^3*d^3*e^2 - 688128*a^6*b^2*c^8 + 
    2106654720*a^6*b^2*c^5*d*e - 458522624*a^6*b^2*c^4*d^3 + 7266893824*a^6*b^2*c^3*e^3 + 15749677056*a^6*b^2*c^2*d^2*e^2 - 
    8893661184*a^6*b^2*c*d^4*e + 312471552*a^6*b^2*d^6 + 36455055360*a^6*b^2*d*e^4 - 373751808*a^6*b*c^7*e + 
    104398848*a^6*b*c^6*d^2 - 26424967168*a^6*b*c^4*d*e^2 + 15257698304*a^6*b*c^3*d^3*e - 2543910912*a^6*b*c^2*d^5 - 
    201654272000*a^6*b*c^2*e^4 + 36220305408*a^6*b*c*d^2*e^3 - 2653618176*a^6*b*d^4*e^2 - 3342336*a^6*c^8*d - 
    2815492096*a^6*c^6*e^2 + 3924885504*a^6*c^5*d^2*e - 658276352*a^6*c^4*d^4 - 14720958464*a^6*c^3*d*e^3 - 
    13567393792*a^6*c^2*d^3*e^2 + 861470720*a^6*c*d^5*e + 64946176000*a^6*c*e^5 - 87343104*a^6*d^7 + 29319168000*a^6*d^2*e^4 
    - 46080000*a^5*b^8*c*e^2 + 1373184*a^5*b^8*d^2*e + 31309824*a^5*b^7*c^2*d*e - 5111808*a^5*b^7*c*d^3 - 
    143622144*a^5*b^7*e^3 - 7020544*a^5*b^6*c^4*e + 5922816*a^5*b^6*c^3*d^2 + 701988864*a^5*b^6*c*d*e^2 + 
    114688*a^5*b^6*d^3*e - 3022848*a^5*b^5*c^5*d + 4994039808*a^5*b^5*c^3*e^2 - 760135680*a^5*b^5*c^2*d^2*e + 
    133693440*a^5*b^5*c*d^4 + 25838419968*a^5*b^5*d*e^3 + 475136*a^5*b^4*c^7 - 2423996416*a^5*b^4*c^4*d*e + 
    517062656*a^5*b^4*c^3*d^3 + 8839626752*a^5*b^4*c^2*e^3 + 4346904576*a^5*b^4*c*d^2*e^2 + 1271549952*a^5*b^4*d^4*e + 
    474415104*a^5*b^3*c^6*e - 145899520*a^5*b^3*c^5*d^2 + 8128102400*a^5*b^3*c^3*d*e^2 - 13242728448*a^5*b^3*c^2*d^3*e + 
    2917175296*a^5*b^3*c*d^5 - 125660692480*a^5*b^3*c*e^4 + 9845014528*a^5*b^3*d^2*e^3 + 15728640*a^5*b^2*c^7*d + 
    2659319808*a^5*b^2*c^5*e^2 - 1189871616*a^5*b^2*c^4*d^2*e - 94740480*a^5*b^2*c^3*d^4 + 93431267328*a^5*b^2*c^2*d*e^3 - 
    10292625408*a^5*b^2*c*d^3*e^2 - 29515776*a^5*b^2*d^5*e + 71639040000*a^5*b^2*e^5 - 1769472*a^5*b*c^9 - 
    1350762496*a^5*b*c^6*d*e + 256770048*a^5*b*c^5*d^3 + 18271895552*a^5*b*c^4*e^3 - 32996327424*a^5*b*c^3*d^2*e^2 + 
    8253014016*a^5*b*c^2*d^4*e + 402571264*a^5*b*c*d^6 + 99010150400*a^5*b*c*d*e^4 - 33555742720*a^5*b*d^3*e^3 + 
    458096640*a^5*c^8*e - 84934656*a^5*c^7*d^2 + 24705171456*a^5*c^5*d*e^2 - 23561502720*a^5*c^4*d^3*e + 
    3745873920*a^5*c^3*d^5 + 116100300800*a^5*c^3*e^4 + 15615918080*a^5*c^2*d^2*e^3 + 18745425920*a^5*c*d^4*e^2 - 
    1878360064*a^5*d^6*e - 92323840000*a^5*d*e^5 + 3456000*a^4*b^10*e^2 - 2810880*a^4*b^9*c*d*e + 387840*a^4*b^9*d^3 + 
    675840*a^4*b^8*c^3*e - 1685760*a^4*b^8*c^2*d^2 - 65341440*a^4*b^8*d*e^2 + 1024000*a^4*b^7*c^4*d - 
    1913733120*a^4*b^7*c^2*e^2 + 138313728*a^4*b^7*c*d^2*e - 16961536*a^4*b^7*d^4 - 163840*a^4*b^6*c^6 + 
    1097990144*a^4*b^6*c^3*d*e - 237490176*a^4*b^6*c^2*d^3 - 5903941632*a^4*b^6*c*e^3 - 4870483968*a^4*b^6*d^2*e^2 - 
    229498880*a^4*b^5*c^5*e + 94146560*a^4*b^5*c^4*d^2 - 1051508736*a^4*b^5*c^2*d*e^2 + 3946586112*a^4*b^5*c*d^3*e - 
    660701184*a^4*b^5*d^5 + 62135009280*a^4*b^5*e^4 - 22175744*a^4*b^4*c^6*d + 7748771840*a^4*b^4*c^4*e^2 + 
    595066880*a^4*b^4*c^3*d^2*e - 188280832*a^4*b^4*c^2*d^4 + 127700828160*a^4*b^4*c*d*e^3 - 13542850560*a^4*b^4*d^3*e^2 + 
    3080192*a^4*b^3*c^8 - 3287089152*a^4*b^3*c^5*d*e + 987660288*a^4*b^3*c^4*d^3 - 52011008000*a^4*b^3*c^3*e^3 - 
    32838451200*a^4*b^3*c^2*d^2*e^2 + 19847680000*a^4*b^3*c*d^4*e - 879362048*a^4*b^3*d^6 - 145739776000*a^4*b^3*d*e^4 + 
    364969984*a^4*b^2*c^7*e - 192274432*a^4*b^2*c^6*d^2 + 62417633280*a^4*b^2*c^4*d*e^2 - 21878046720*a^4*b^2*c^3*d^3*e + 
    3690074112*a^4*b^2*c^2*d^5 + 600838144000*a^4*b^2*c^2*e^4 - 171876352000*a^4*b^2*c*d^2*e^3 + 15504936960*a^4*b^2*d^4*e^2 
    - 4521984*a^4*b*c^8*d + 8763604992*a^4*b*c^6*e^2 - 6446972928*a^4*b*c^5*d^2*e + 1462763520*a^4*b*c^4*d^4 - 
    21309030400*a^4*b*c^3*d*e^3 + 52552663040*a^4*b*c^2*d^3*e^2 - 10198663168*a^4*b*c*d^5*e - 440934400000*a^4*b*c*e^5 + 
    1124663296*a^4*b*d^7 - 104488960000*a^4*b*d^2*e^4 + 2916352*a^4*c^10 - 1822097408*a^4*c^7*d*e + 250773504*a^4*c^6*d^3 - 
    28707717120*a^4*c^5*e^3 + 13229752320*a^4*c^4*d^2*e^2 + 22850273280*a^4*c^3*d^4*e - 3924770816*a^4*c^2*d^6 - 
    193536000000*a^4*c^2*d*e^4 - 24199168000*a^4*c*d^3*e^3 - 388055040*a^4*d^5*e^2 + 17408000000*a^4*e^6 + 34560*a^3*b^11*d*e
    - 11520*a^3*b^10*c^2*e + 264960*a^3*b^10*c*d^2 - 172800*a^3*b^9*c^3*d + 354585600*a^3*b^9*c*e^2 - 8849664*a^3*b^9*d^2*e +
    28160*a^3*b^8*c^5 - 230951424*a^3*b^8*c^2*d*e + 48441088*a^3*b^8*c*d^3 + 665699328*a^3*b^8*e^3 + 50786304*a^3*b^7*c^4*e -
    33959936*a^3*b^7*c^3*d^2 + 926896128*a^3*b^7*c*d*e^2 - 75059200*a^3*b^7*d^3*e + 13651968*a^3*b^6*c^5*d - 
    8988884992*a^3*b^6*c^3*e^2 - 330362880*a^3*b^6*c^2*d^2*e + 18657280*a^3*b^6*c*d^4 - 53233459200*a^3*b^6*d*e^3 - 
    2072576*a^3*b^5*c^7 + 4601421824*a^3*b^5*c^4*d*e - 1193365504*a^3*b^5*c^3*d^3 - 414662656*a^3*b^5*c^2*e^3 - 
    10674364416*a^3*b^5*c*d^2*e^2 - 3212304384*a^3*b^5*d^4*e - 809410560*a^3*b^4*c^6*e + 279347200*a^3*b^4*c^5*d^2 - 
    41551708160*a^3*b^4*c^3*d*e^2 + 27179130880*a^3*b^4*c^2*d^3*e - 6522822656*a^3*b^4*c*d^5 - 10752000000*a^3*b^4*c*e^4 + 
    53278924800*a^3*b^4*d^2*e^3 + 9953280*a^3*b^3*c^7*d - 29088595968*a^3*b^3*c^5*e^2 + 11073699840*a^3*b^3*c^4*d^2*e - 
    2517278720*a^3*b^3*c^3*d^4 - 321653964800*a^3*b^3*c^2*d*e^3 + 27799101440*a^3*b^3*c*d^3*e^2 + 27000832*a^3*b^3*d^5*e - 
    39014400000*a^3*b^3*e^5 - 4276224*a^3*b^2*c^9 + 10036723712*a^3*b^2*c^6*d*e - 2023538688*a^3*b^2*c^5*d^3 + 
    2054553600*a^3*b^2*c^4*e^3 + 51845283840*a^3*b^2*c^3*d^2*e^2 - 51887063040*a^3*b^2*c^2*d^4*e + 992215040*a^3*b^2*c*d^6 + 
    163573760000*a^3*b^2*c*d*e^4 + 166180864000*a^3*b^2*d^3*e^3 - 1952055296*a^3*b*c^8*e + 610205696*a^3*b*c^7*d^2 - 
    146106286080*a^3*b*c^5*d*e^2 + 94943969280*a^3*b*c^4*d^3*e - 17349967872*a^3*b*c^3*d^5 - 628858880000*a^3*b*c^3*e^4 + 
    132235264000*a^3*b*c^2*d^2*e^3 - 98039398400*a^3*b*c*d^4*e^2 + 11933777920*a^3*b*d^6*e + 550912000000*a^3*b*d*e^5 - 
    26804224*a^3*c^9*d - 3906666496*a^3*c^7*e^2 + 10180558848*a^3*c^6*d^2*e - 1361608704*a^3*c^5*d^4 + 
    45531136000*a^3*c^4*d*e^3 - 103522304000*a^3*c^3*d^3*e^2 - 1643446272*a^3*c^2*d^5*e + 450150400000*a^3*c^2*e^5 - 
    23658496*a^3*c*d^7 + 320819200000*a^3*c*d^2*e^4 + 13393920000*a^3*d^4*e^3 - 17280*a^2*b^12*d^2 + 11520*a^2*b^11*c^2*d - 
    25747200*a^2*b^11*e^2 - 1920*a^2*b^10*c^4 + 19203840*a^2*b^10*c*d*e - 3605760*a^2*b^10*d^3 - 4473600*a^2*b^9*c^3*e + 
    7768320*a^2*b^9*c^2*d^2 - 96415488*a^2*b^9*d*e^2 - 4381440*a^2*b^8*c^4*d + 3666276096*a^2*b^8*c^2*e^2 - 
    68360448*a^2*b^8*c*d^2*e + 11197440*a^2*b^8*d^4 + 696320*a^2*b^7*c^6 - 2067058688*a^2*b^7*c^3*d*e + 
    559685632*a^2*b^7*c^2*d^3 + 8108347392*a^2*b^7*c*e^3 + 10326183936*a^2*b^7*d^2*e^2 + 414855168*a^2*b^6*c^5*e - 
    146432000*a^2*b^6*c^4*d^2 + 18289041408*a^2*b^6*c^2*d*e^2 - 8123305984*a^2*b^6*c*d^3*e + 1499783168*a^2*b^6*d^5 - 
    50435174400*a^2*b^6*e^4 - 3674112*a^2*b^5*c^6*d + 18222845952*a^2*b^5*c^4*e^2 - 11237855232*a^2*b^5*c^3*d^2*e + 
    3223511040*a^2*b^5*c^2*d^4 - 39710023680*a^2*b^5*c*d*e^3 + 1381146624*a^2*b^5*d^3*e^2 + 2121728*a^2*b^4*c^8 - 
    6314803200*a^2*b^4*c^5*d*e + 1229025280*a^2*b^4*c^4*d^3 + 103679590400*a^2*b^4*c^3*e^3 + 61770547200*a^2*b^4*c^2*d^2*e^2 
    - 8843714560*a^2*b^4*c*d^4*e + 911474688*a^2*b^4*d^6 + 163696640000*a^2*b^4*d*e^4 + 1623040000*a^2*b^3*c^7*e - 
    572026880*a^2*b^3*c^6*d^2 + 60808069120*a^2*b^3*c^4*d*e^2 - 32530063360*a^2*b^3*c^3*d^3*e + 10194059264*a^2*b^3*c^2*d^5 -
    557015040000*a^2*b^3*c^2*e^4 + 82727936000*a^2*b^3*c*d^2*e^3 - 42876928000*a^2*b^3*d^4*e^2 + 40673280*a^2*b^2*c^8*d + 
    24872558592*a^2*b^2*c^6*e^2 - 41470230528*a^2*b^2*c^5*d^2*e + 8715571200*a^2*b^2*c^4*d^4 + 233287680000*a^2*b^2*c^3*d*e^3
    + 33532108800*a^2*b^2*c^2*d^3*e^2 + 33338425344*a^2*b^2*c*d^5*e + 626995200000*a^2*b^2*c*e^5 - 4294508544*a^2*b^2*d^7 - 
    203404800000*a^2*b^2*d^2*e^4 - 1179648*a^2*b*c^10 + 883261440*a^2*b*c^7*d*e - 1075789824*a^2*b*c^6*d^3 + 
    120773017600*a^2*b*c^5*e^3 + 54986342400*a^2*b*c^4*d^2*e^2 - 58381598720*a^2*b*c^3*d^4*e + 20117520384*a^2*b*c^2*d^6 + 
    84172800000*a^2*b*c^2*d*e^4 - 226611200000*a^2*b*c*d^3*e^3 - 8105164800*a^2*b*d^5*e^2 - 87040000000*a^2*b*e^6 + 
    1107099648*a^2*c^9*e - 159154176*a^2*c^8*d^2 + 65991966720*a^2*c^6*d*e^2 - 67400564736*a^2*c^5*d^3*e + 
    10393141248*a^2*c^4*d^5 + 135680000000*a^2*c^4*e^4 + 3399680000*a^2*c^3*d^2*e^3 + 203255808000*a^2*c^2*d^4*e^2 - 
    16081551360*a^2*c*d^6*e - 1113088000000*a^2*c*d*e^5 + 651952128*a^2*d^8 - 319129600000*a^2*d^3*e^4 - 138240*a*b^12*d*e + 
    46080*a*b^11*c^2*e - 1094400*a*b^11*c*d^2 + 714240*a*b^10*c^3*d - 678090240*a*b^10*c*e^2 + 13266432*a*b^10*d^2*e - 
    116480*a*b^9*c^5 + 416908032*a*b^9*c^2*d*e - 114054144*a*b^9*c*d^3 - 953070336*a*b^9*e^3 - 89078272*a*b^8*c^4*e + 
    30485248*a*b^8*c^3*d^2 - 5914608384*a*b^8*c*d*e^2 + 151357440*a*b^8*d^3*e + 1150976*a*b^7*c^5*d - 
    4300677120*a*b^7*c^3*e^2 + 4223496192*a*b^7*c^2*d^2*e - 946266112*a*b^7*c*d^4 + 39977594880*a*b^7*d*e^3 - 
    520192*a*b^6*c^7 + 1425268736*a*b^6*c^4*d*e - 474918912*a*b^6*c^3*d^3 - 35311513600*a*b^6*c^2*e^3 - 
    4152692736*a*b^6*c*d^2*e^2 + 2998059008*a*b^6*d^4*e - 465653760*a*b^5*c^6*e + 252346368*a*b^5*c^5*d^2 - 
    33227108352*a*b^5*c^3*d*e^2 - 8385388544*a*b^5*c^2*d^3*e + 1729200128*a*b^5*c*d^5 + 158798848000*a*b^5*c*e^4 - 
    85107712000*a*b^5*d^2*e^3 - 28774400*a*b^4*c^7*d - 8312078336*a*b^4*c^5*e^2 + 33094512640*a*b^4*c^4*d^2*e - 
    8514887680*a*b^4*c^3*d^4 + 288898048000*a*b^4*c^2*d*e^3 - 32709222400*a*b^4*c*d^3*e^2 - 916652032*a*b^4*d^5*e - 
    80985600000*a*b^4*e^5 + 1515520*a*b^3*c^9 - 4413628416*a*b^3*c^6*d*e + 1788579840*a*b^3*c^5*d^3 - 
    192415744000*a*b^3*c^4*e^3 - 194880921600*a*b^3*c^3*d^2*e^2 + 75274321920*a*b^3*c^2*d^4*e - 9066971136*a*b^3*c*d^6 - 
    440000000000*a*b^3*c*d*e^4 - 83271680000*a*b^3*d^3*e^3 - 297172992*a*b^2*c^8*e + 29761536*a*b^2*c^7*d^2 + 
    52684308480*a*b^2*c^5*d*e^2 - 7008870400*a*b^2*c^4*d^3*e - 5937102848*a*b^2*c^3*d^5 + 954547200000*a*b^2*c^3*e^4 - 
    123893760000*a*b^2*c^2*d^2*e^3 + 126492672000*a*b^2*c*d^4*e^2 - 14318960640*a*b^2*d^6*e - 550272000000*a*b^2*d*e^5 - 
    17104896*a*b*c^9*d - 18345984000*a*b*c^7*e^2 + 29927768064*a*b*c^6*d^2*e - 4026679296*a*b*c^5*d^4 - 
    309821440000*a*b*c^4*d*e^3 - 20852736000*a*b*c^3*d^3*e^2 - 47220326400*a*b*c^2*d^5*e - 1131520000000*a*b*c^2*e^5 + 
    1501298688*a*b*c*d^7 + 666982400000*a*b*c*d^2*e^4 + 268902400000*a*b*d^4*e^3 + 1769472*a*c^11 - 5086052352*a*c^8*d*e + 
    1039106048*a*c^7*d^3 - 70746112000*a*c^6*e^3 - 48697344000*a*c^5*d^2*e^2 + 101529190400*a*c^4*d^4*e - 
    18658689024*a*c^3*d^6 + 150220800000*a*c^3*d*e^4 - 198041600000*a*c^2*d^3*e^3 - 157016064000*a*c*d^5*e^2 + 
    396800000000*a*c*e^6 + 21037056000*a*d^7*e + 1190400000000*a*d^2*e^5 + 69120*b^13*d^2 - 46080*b^12*c^2*d + 
    47744640*b^12*e^2 + 7680*b^11*c^4 - 31599360*b^11*c*d*e + 8294400*b^11*d^3 + 6996480*b^10*c^3*e - 2115840*b^10*c^2*d^2 + 
    539179776*b^10*d*e^2 - 175360*b^9*c^4*d + 385348608*b^9*c^2*e^2 - 381563904*b^9*c*d^2*e + 71540736*b^9*d^4 + 
    51840*b^8*c^6 - 147664640*b^8*c^3*d*e + 63251456*b^8*c^2*d^3 + 1588450560*b^8*c*e^3 - 6585517056*b^8*d^2*e^2 + 
    49381376*b^7*c^5*e - 32022528*b^7*c^4*d^2 + 8524959744*b^7*c^2*d*e^2 + 4138082304*b^7*c*d^3*e - 827981824*b^7*d^5 + 
    998400000*b^7*e^4 + 4052992*b^6*c^6*d + 371122176*b^6*c^4*e^2 - 6999543808*b^6*c^3*d^2*e + 1478844416*b^6*c^2*d^4 - 
    67960524800*b^6*c*d*e^3 + 14151639040*b^6*d^3*e^2 - 229376*b^5*c^8 + 1341972480*b^5*c^5*d*e - 204718080*b^5*c^4*d^3 + 
    34719846400*b^5*c^3*e^3 + 23289200640*b^5*c^2*d^2*e^2 - 14431191040*b^5*c*d^4*e + 950140928*b^5*d^6 + 
    4398080000*b^5*d*e^4 - 16936960*b^4*c^7*e - 76410880*b^4*c^6*d^2 - 2598400000*b^4*c^4*d*e^2 + 12310896640*b^4*c^3*d^3*e -
    936083456*b^4*c^2*d^5 - 133798400000*b^4*c^2*e^4 + 135982080000*b^4*c*d^2*e^3 + 18694144000*b^4*d^4*e^2 + 
    19435520*b^3*c^8*d + 2597621760*b^3*c^6*e^2 - 15609409536*b^3*c^5*d^2*e + 3302031360*b^3*c^4*d^4 - 
    161469440000*b^3*c^3*d*e^3 - 65658880000*b^3*c^2*d^3*e^2 - 10935009280*b^3*c*d^5*e + 134976000000*b^3*c*e^5 + 
    4396679168*b^3*d^7 + 232038400000*b^3*d^2*e^4 - 1548288*b^2*c^10 + 3776692224*b^2*c^7*d*e - 1097207808*b^2*c^6*d^3 + 
    85667840000*b^2*c^5*e^3 + 154397184000*b^2*c^4*d^2*e^2 - 15078195200*b^2*c^3*d^4*e - 880607232*b^2*c^2*d^6 + 
    99494400000*b^2*c^2*d*e^4 - 170598400000*b^2*c*d^3*e^3 - 31825920000*b^2*d^5*e^2 - 40000000000*b^2*e^6 - 
    224722944*b*c^9*e + 110739456*b*c^8*d^2 - 63222988800*b*c^6*d*e^2 - 10208296960*b*c^5*d^3*e + 4610916352*b*c^4*d^5 - 
    414310400000*b*c^4*e^4 + 138342400000*b*c^3*d^2*e^3 + 32931840000*b*c^2*d^4*e^2 + 45082214400*b*c*d^6*e + 
    997120000000*b*c*d*e^5 - 6889144320*b*d^8 - 690176000000*b*d^3*e^4 - 4423680*c^10*d + 9090662400*c^8*e^2 + 
    1812234240*c^7*d^2*e - 875970560*c^6*d^4 + 176865280000*c^5*d*e^3 - 47851520000*c^4*d^3*e^2 - 41194291200*c^3*d^5*e + 
    407040000000*c^3*e^5 + 9606266880*c^2*d^7 - 696576000000*c^2*d^2*e^4 + 472064000000*c*d^4*e^3 - 52592640000*d^6*e^2 - 
    992000000000*d*e^6
;
M[5][5,2] :=
                                -M[5][2,5];
M[1][3,4] :=
-67108864*a^13*e^5 + 83886080*a^12*b*d*e^4 + 67108864*a^12*c^2*e^4 - 46137344*a^12*c*d^2*e^3 + 7077888*a^12*d^4*e^2 - 
    71303168*a^11*b^2*c*e^4 - 24641536*a^11*b^2*d^2*e^3 - 20971520*a^11*b*c^2*d*e^3 + 20447232*a^11*b*c*d^3*e^2 - 
    3538944*a^11*b*d^5*e + 1241513984*a^11*b*e^5 - 25165824*a^11*c^4*e^3 + 24117248*a^11*c^3*d^2*e^2 - 8257536*a^11*c^2*d^4*e
    + 884736*a^11*c*d^6 - 377487360*a^11*c*d*e^4 + 153092096*a^11*d^3*e^3 + 13369344*a^10*b^4*e^4 + 42467328*a^10*b^3*c*d*e^3
    + 1048576*a^10*b^3*d^3*e^2 + 42991616*a^10*b^2*c^3*e^3 - 34603008*a^10*b^2*c^2*d^2*e^2 + 5505024*a^10*b^2*c*d^4*e + 
    110592*a^10*b^2*d^6 - 1367343104*a^10*b^2*d*e^4 - 5242880*a^10*b*c^4*d*e^2 + 4456448*a^10*b*c^3*d^3*e - 
    589824*a^10*b*c^2*d^5 - 843055104*a^10*b*c^2*e^4 + 942145536*a^10*b*c*d^2*e^3 - 231604224*a^10*b*d^4*e^2 + 
    4194304*a^10*c^6*e^2 - 3407872*a^10*c^5*d^2*e + 573440*a^10*c^4*d^4 + 375390208*a^10*c^3*d*e^3 - 
    195821568*a^10*c^2*d^3*e^2 + 64290816*a^10*c*d^5*e - 599785472*a^10*c*e^5 - 6193152*a^10*d^7 - 1386741760*a^10*d^2*e^4 - 
    9043968*a^9*b^5*d*e^3 - 29491200*a^9*b^4*c^2*e^3 + 4620288*a^9*b^4*c*d^2*e^2 - 1163264*a^9*b^4*d^4*e + 
    6029312*a^9*b^3*c^3*d*e^2 - 1245184*a^9*b^3*c^2*d^3*e - 274432*a^9*b^3*c*d^5 + 999817216*a^9*b^3*c*e^4 + 
    360710144*a^9*b^3*d^2*e^3 - 8126464*a^9*b^2*c^5*e^2 + 4358144*a^9*b^2*c^4*d^2*e - 679936*a^9*b^2*c^3*d^4 - 
    369360896*a^9*b^2*c^2*d*e^3 - 144310272*a^9*b^2*c*d^3*e^2 + 60776448*a^9*b^2*d^5*e - 9131524096*a^9*b^2*e^5 + 
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    9136250880*a^3*b^4*c^2*d^4*e - 1091502080*a^3*b^4*c*d^6 - 72049766400*a^3*b^4*c*d*e^4 - 45804728320*a^3*b^4*d^3*e^3 + 
    54239232*a^3*b^3*c^8*e - 13852672*a^3*b^3*c^7*d^2 + 1230450688*a^3*b^3*c^5*d*e^2 + 3988930560*a^3*b^3*c^4*d^3*e - 
    1639546880*a^3*b^3*c^3*d^5 - 14317977600*a^3*b^3*c^3*e^4 + 140771164160*a^3*b^3*c^2*d^2*e^3 - 
    14899118080*a^3*b^3*c*d^4*e^2 + 1246068736*a^3*b^3*d^6*e - 492364800000*a^3*b^3*d*e^5 - 679936*a^3*b^2*c^9*d + 
    429170688*a^3*b^2*c^7*e^2 + 610897920*a^3*b^2*c^6*d^2*e + 45744128*a^3*b^2*c^5*d^4 + 6038200320*a^3*b^2*c^4*d*e^3 - 
    99836067840*a^3*b^2*c^3*d^3*e^2 + 28571074560*a^3*b^2*c^2*d^5*e + 36270080000*a^3*b^2*c^2*e^5 - 3967418368*a^3*b^2*c*d^7 
    + 252403712000*a^3*b^2*c*d^2*e^4 + 99525427200*a^3*b^2*d^4*e^3 - 637108224*a^3*b*c^8*d*e + 162988032*a^3*b*c^7*d^3 - 
    26907279360*a^3*b*c^6*e^3 + 18878054400*a^3*b*c^5*d^2*e^2 + 8604712960*a^3*b*c^4*d^4*e - 3128426496*a^3*b*c^3*d^6 + 
    188481536000*a^3*b*c^3*d*e^4 - 212737228800*a^3*b*c^2*d^3*e^3 + 6919946240*a^3*b*c*d^5*e^2 - 214528000000*a^3*b*c*e^6 + 
    5076811776*a^3*b*d^7*e + 662323200000*a^3*b*d^2*e^5 + 62521344*a^3*c^10*e - 20185088*a^3*c^9*d^2 + 
    1900544000*a^3*c^7*d*e^2 - 1874362368*a^3*c^6*d^3*e + 532021248*a^3*c^5*d^5 - 61005004800*a^3*c^5*e^4 + 
    22478848000*a^3*c^4*d^2*e^3 + 11701780480*a^3*c^3*d^4*e^2 - 10030448640*a^3*c^2*d^6*e + 54937600000*a^3*c^2*d*e^5 + 
    452984832*a^3*c*d^8 + 226631680000*a^3*c*d^3*e^4 - 2455961600*a^3*d^5*e^3 + 49920000000*a^3*e^7 - 72576*a^2*b^13*e^2 + 
    51840*a^2*b^12*c*d*e - 15360*a^2*b^12*d^3 - 11904*a^2*b^11*c^3*e + 5376*a^2*b^11*c^2*d^2 - 6835968*a^2*b^11*d*e^2 - 
    384*a^2*b^10*c^4*d + 10080768*a^2*b^10*c^2*e^2 + 4633728*a^2*b^10*c*d^2*e - 708608*a^2*b^10*d^4 - 8596992*a^2*b^9*c^3*d*e
    + 3219968*a^2*b^9*c^2*d^3 - 216893184*a^2*b^9*c*e^3 + 76945920*a^2*b^9*d^2*e^2 + 1706496*a^2*b^8*c^5*e - 
    1271424*a^2*b^8*c^4*d^2 + 1596408960*a^2*b^8*c^2*d*e^2 - 180035072*a^2*b^8*c*d^3*e + 9273344*a^2*b^8*d^5 + 
    2164973184*a^2*b^8*e^4 + 132096*a^2*b^7*c^6*d - 267048960*a^2*b^7*c^4*e^2 - 763266048*a^2*b^7*c^3*d^2*e + 
    202985472*a^2*b^7*c^2*d^4 - 5631823872*a^2*b^7*c*d*e^3 + 2812268544*a^2*b^7*d^3*e^2 + 283044864*a^2*b^6*c^5*d*e - 
    73510912*a^2*b^6*c^4*d^3 + 5177806848*a^2*b^6*c^3*e^3 + 6510735360*a^2*b^6*c^2*d^2*e^2 - 2239655936*a^2*b^6*c*d^4*e + 
    391249920*a^2*b^6*d^6 - 27589232640*a^2*b^6*d*e^4 - 23606272*a^2*b^5*c^7*e + 3368960*a^2*b^5*c^6*d^2 + 
    2049561600*a^2*b^5*c^4*d*e^2 - 2608355328*a^2*b^5*c^3*d^3*e + 587595776*a^2*b^5*c^2*d^5 + 25657896960*a^2*b^5*c^2*e^4 + 
    36834527232*a^2*b^5*c*d^2*e^3 + 3882713088*a^2*b^5*d^4*e^2 + 631808*a^2*b^4*c^8*d - 431434752*a^2*b^4*c^6*e^2 - 
    1449413632*a^2*b^4*c^5*d^2*e + 477603840*a^2*b^4*c^4*d^4 - 91125248000*a^2*b^4*c^3*d*e^3 + 
    22427136000*a^2*b^4*c^2*d^3*e^2 - 5651841024*a^2*b^4*c*d^5*e - 125986560000*a^2*b^4*c*e^5 + 975437824*a^2*b^4*d^7 + 
    211934976000*a^2*b^4*d^2*e^4 + 753733632*a^2*b^3*c^7*d*e - 273661952*a^2*b^3*c^6*d^3 + 39430631424*a^2*b^3*c^5*e^3 + 
    50045992960*a^2*b^3*c^4*d^2*e^2 - 21451079680*a^2*b^3*c^3*d^4*e + 3248881664*a^2*b^3*c^2*d^6 + 
    257488896000*a^2*b^3*c^2*d*e^4 - 293492736000*a^2*b^3*c*d^3*e^3 + 40103968768*a^2*b^3*d^5*e^2 - 47769600000*a^2*b^3*e^6 -
    68419584*a^2*b^2*c^9*e + 32845824*a^2*b^2*c^8*d^2 - 23078940672*a^2*b^2*c^6*d*e^2 - 319447040*a^2*b^2*c^5*d^3*e + 
    1449820160*a^2*b^2*c^4*d^5 - 100682240000*a^2*b^2*c^4*e^4 - 95367987200*a^2*b^2*c^3*d^2*e^3 + 
    143484354560*a^2*b^2*c^2*d^4*e^2 - 27995766784*a^2*b^2*c*d^6*e + 830054400000*a^2*b^2*c*d*e^5 + 1169162240*a^2*b^2*d^8 - 
    189112320000*a^2*b^2*d^3*e^4 - 589824*a^2*b*c^10*d + 2721153024*a^2*b*c^8*e^2 + 1477115904*a^2*b*c^7*d^2*e - 
    734920704*a^2*b*c^6*d^4 + 40707112960*a^2*b*c^5*d*e^3 + 45820231680*a^2*b*c^4*d^3*e^2 - 43009146880*a^2*b*c^3*d^5*e - 
    106137600000*a^2*b*c^3*e^5 + 9634185216*a^2*b*c^2*d^7 - 478208000000*a^2*b*c^2*d^2*e^4 + 154300416000*a^2*b*c*d^4*e^3 - 
    47286190080*a^2*b*d^6*e^2 - 185344000000*a^2*b*d*e^6 - 151584768*a^2*c^9*d*e + 67289088*a^2*c^8*d^3 + 
    19708968960*a^2*c^7*e^3 - 25502957568*a^2*c^6*d^2*e^2 + 7577206784*a^2*c^5*d^4*e - 1163132928*a^2*c^4*d^6 + 
    63959040000*a^2*c^4*d*e^4 - 21630976000*a^2*c^3*d^3*e^3 + 44019384320*a^2*c^2*d^5*e^2 + 208896000000*a^2*c^2*e^6 - 
    3020292096*a^2*c*d^7*e - 694220800000*a^2*c*d^2*e^5 + 335544320*a^2*d^9 - 175718400000*a^2*d^4*e^4 - 1776384*a*b^12*c*e^2
    - 13824*a*b^12*d^2*e + 1364736*a*b^11*c^2*d*e - 544768*a*b^11*c*d^3 + 17145216*a*b^11*e^3 - 316672*a*b^10*c^4*e + 
    227840*a*b^10*c^3*d^2 - 278898432*a*b^10*c*d*e^2 + 12091392*a*b^10*d^3*e - 23296*a*b^9*c^5*d + 41389056*a*b^9*c^3*e^2 + 
    160008192*a*b^9*c^2*d^2*e - 37896192*a*b^9*c*d^4 + 300882432*a*b^9*d*e^3 - 56049024*a*b^8*c^4*d*e + 
    11956224*a*b^8*c^3*d^3 - 1096178304*a*b^8*c^2*e^3 - 1206555648*a*b^8*c*d^2*e^2 - 3727360*a*b^8*d^4*e + 
    4343808*a*b^7*c^6*e + 202752*a*b^7*c^5*d^2 - 615788544*a*b^7*c^3*d*e^2 + 837664768*a*b^7*c^2*d^3*e - 
    191758336*a*b^7*c*d^5 - 820305920*a*b^7*c*e^4 + 3195965440*a*b^7*d^2*e^3 - 215040*a*b^6*c^7*d + 80566272*a*b^6*c^5*e^2 + 
    407826432*a*b^6*c^4*d^2*e - 113377280*a*b^6*c^3*d^4 + 13893750784*a*b^6*c^2*d*e^3 - 8684969984*a*b^6*c*d^3*e^2 + 
    1192493056*a*b^6*d^5*e - 3763968000*a*b^6*e^5 - 207819776*a*b^5*c^6*d*e + 62218240*a*b^5*c^5*d^3 - 
    11015364608*a*b^5*c^4*e^3 - 12736122880*a*b^5*c^3*d^2*e^2 + 4038754304*a*b^5*c^2*d^4*e - 632815616*a*b^5*c*d^6 - 
    52790784000*a*b^5*c*d*e^4 + 39561707520*a*b^5*d^3*e^3 + 17506304*a*b^4*c^8*e - 4755456*a*b^4*c^7*d^2 + 
    7099344896*a*b^4*c^5*d*e^2 + 3202242560*a*b^4*c^4*d^3*e - 1091502080*a*b^4*c^3*d^5 + 32457216000*a*b^4*c^3*e^4 + 
    15655526400*a*b^4*c^2*d^2*e^3 - 27497103360*a*b^4*c*d^4*e^2 - 380764160*a*b^4*d^6*e + 319084800000*a*b^4*d*e^5 - 
    274432*a*b^3*c^9*d - 1108611072*a*b^3*c^7*e^2 - 1558102016*a*b^3*c^6*d^2*e + 396312576*a*b^3*c^5*d^4 + 
    19785523200*a*b^3*c^4*d*e^3 - 35557539840*a*b^3*c^3*d^3*e^2 + 17478778880*a*b^3*c^2*d^5*e - 41164800000*a*b^3*c^2*e^5 - 
    1506803712*a*b^3*c*d^7 - 358717440000*a*b^3*c*d^2*e^4 - 96800768000*a*b^3*d^4*e^3 + 256733184*a*b^2*c^8*d*e - 
    13369344*a*b^2*c^7*d^3 - 22302289920*a*b^2*c^6*e^3 - 8342814720*a*b^2*c^5*d^2*e^2 + 12551864320*a*b^2*c^4*d^4*e - 
    3967418368*a*b^2*c^3*d^6 - 208752640000*a*b^2*c^3*d*e^4 + 533868544000*a*b^2*c^2*d^3*e^3 - 70792970240*a*b^2*c*d^5*e^2 + 
    217088000000*a*b^2*c*e^6 + 3040870400*a*b^2*d^7*e - 861440000000*a*b^2*d^2*e^5 - 20348928*a*b*c^10*e - 
    7225344*a*b*c^9*d^2 + 12776423424*a*b*c^7*d*e^2 - 6080872448*a*b*c^6*d^3*e + 1380581376*a*b*c^5*d^5 + 
    135073792000*a*b*c^5*e^4 - 46344192000*a*b*c^4*d^2*e^3 - 178610176000*a*b*c^3*d^4*e^2 + 63934824448*a*b*c^2*d^6*e - 
    58265600000*a*b*c^2*d*e^5 - 8560574464*a*b*c*d^8 + 250265600000*a*b*c*d^3*e^4 + 135675904000*a*b*d^5*e^3 - 
    172800000000*a*b*e^7 + 884736*a*c^11*d - 2019852288*a*c^9*e^2 + 734035968*a*c^8*d^2*e - 126746624*a*c^7*d^4 - 
    64311296000*a*c^6*d*e^3 + 62932254720*a*c^5*d^3*e^2 - 10944577536*a*c^4*d^5*e - 78028800000*a*c^4*e^5 + 
    452984832*a*c^3*d^7 + 234905600000*a*c^3*d^2*e^4 - 149647360000*a*c^2*d^4*e^3 - 23101440000*a*c*d^6*e^2 + 
    38400000000*a*c*d*e^6 + 5022679040*a*d^8*e + 758272000000*a*d^3*e^5 + 124416*b^14*e^2 - 96768*b^13*c*d*e + 36864*b^13*d^3
    + 23040*b^12*c^3*e - 15360*b^12*c^2*d^2 + 18455040*b^12*d*e^2 + 1536*b^11*c^4*d - 2436480*b^11*c^2*e^2 - 
    12189696*b^11*c*d^2*e + 2621440*b^11*d^4 + 4129408*b^10*c^3*d*e - 708608*b^10*c^2*d^3 + 103206528*b^10*c*e^3 + 
    68579328*b^10*d^2*e^2 - 299136*b^9*c^5*e - 76544*b^9*c^4*d^2 + 55523328*b^9*c^2*d*e^2 - 49897472*b^9*c*d^3*e + 
    15794176*b^9*d^5 - 42566400*b^9*e^4 + 22656*b^8*c^6*d - 3511680*b^8*c^4*e^2 - 53964288*b^8*c^3*d^2*e + 
    9273344*b^8*c^2*d^4 - 1508961792*b^8*c*d*e^3 - 471867392*b^8*d^3*e^2 + 22142976*b^7*c^5*d*e - 3799040*b^7*c^4*d^3 + 
    1347038208*b^7*c^3*e^3 + 2688860160*b^7*c^2*d^2*e^2 + 220463104*b^7*c*d^4*e - 132120576*b^7*d^6 + 13624985600*b^7*d*e^4 -
    1676288*b^6*c^7*e - 260096*b^6*c^6*d^2 - 1350574080*b^6*c^4*d*e^2 - 1260466176*b^6*c^3*d^3*e + 391249920*b^6*c^2*d^5 - 
    8129126400*b^6*c^2*e^4 - 19797422080*b^6*c*d^2*e^3 - 3079405568*b^6*d^4*e^2 + 99328*b^5*c^8*d + 219645952*b^5*c^6*e^2 + 
    616668160*b^5*c^5*d^2*e - 183812096*b^5*c^4*d^4 + 7421634560*b^5*c^3*d*e^3 + 17947607040*b^5*c^2*d^3*e^2 + 
    184156160*b^5*c*d^5*e + 10654080000*b^5*c*e^5 - 273678336*b^5*d^7 - 120625152000*b^5*d^2*e^4 - 131458048*b^4*c^7*d*e + 
    37992448*b^4*c^6*d^3 + 2546560000*b^4*c^5*e^3 - 5508382720*b^4*c^4*d^2*e^2 - 5446615040*b^4*c^3*d^4*e + 
    975437824*b^4*c^2*d^6 + 127668480000*b^4*c^2*d*e^4 + 79087616000*b^4*c*d^3*e^3 + 5226496000*b^4*d^5*e^2 + 
    5760000000*b^4*e^6 + 11759616*b^3*c^9*e - 3940352*b^3*c^8*d^2 - 1240113152*b^3*c^6*d*e^2 + 2230968320*b^3*c^5*d^3*e - 
    67010560*b^3*c^4*d^5 - 45122560000*b^3*c^4*e^4 - 127713280000*b^3*c^3*d^2*e^3 - 5063475200*b^3*c^2*d^4*e^2 - 
    3485466624*b^3*c*d^6*e - 539059200000*b^3*c*d*e^5 + 905969664*b^3*d^8 + 445132800000*b^3*d^3*e^4 + 110592*b^2*c^10*d + 
    425668608*b^2*c^8*e^2 - 76800000*b^2*c^7*d^2*e - 167542784*b^2*c^6*d^4 + 54338969600*b^2*c^5*d*e^3 + 
    39826636800*b^2*c^4*d^3*e^2 - 10807640064*b^2*c^3*d^5*e + 195276800000*b^2*c^3*e^5 + 1169162240*b^2*c^2*d^7 + 
    254259200000*b^2*c^2*d^2*e^4 - 368128000000*b^2*c*d^4*e^3 + 40448819200*b^2*d^6*e^2 + 405760000000*b^2*d*e^6 - 
    111919104*b*c^9*d*e + 58245120*b*c^8*d^3 - 2399846400*b*c^7*e^3 - 22512353280*b*c^6*d^2*e^2 + 4963909632*b*c^5*d^4*e - 
    296288256*b*c^4*d^6 - 152883200000*b*c^4*d*e^4 + 4689920000*b*c^3*d^3*e^3 + 105165619200*b*c^2*d^5*e^2 - 
    375040000000*b*c^2*e^6 - 26854031360*b*c*d^7*e + 662272000000*b*c*d^2*e^5 + 2332033024*b*d^9 - 372940800000*b*d^4*e^4 + 
    15925248*c^11*e - 6193152*c^10*d^2 + 3083304960*c^8*d*e^2 - 690094080*c^7*d^3*e + 23330816*c^6*d^5 - 10321920000*c^6*e^4 
    + 61411328000*c^5*d^2*e^3 - 40546304000*c^4*d^4*e^2 + 4179230720*c^3*d^6*e + 94976000000*c^3*d*e^5 + 335544320*c^2*d^8 - 
    295424000000*c^2*d^3*e^4 + 191119360000*c*d^5*e^3 + 288000000000*c*e^7 - 23855104000*d^7*e^2 - 691200000000*d^2*e^6
;
M[1][4,3] :=
                                -M[1][3,4];
M[2][3,4] :=
603979776*a^12*e^5 - 830472192*a^11*b*d*e^4 - 100663296*a^11*c^2*e^4 + 408944640*a^11*c*d^2*e^3 - 42467328*a^11*d^4*e^2 + 
    283115520*a^10*b^2*c*e^4 + 330301440*a^10*b^2*d^2*e^3 - 333447168*a^10*b*c^2*d*e^3 - 231211008*a^10*b*c*d^3*e^2 + 
    21233664*a^10*b*d^5*e - 6568280064*a^10*b*e^5 + 243269632*a^10*c^4*e^3 + 98041856*a^10*c^3*d^2*e^2 - 
    4718592*a^10*c^2*d^4*e - 2654208*a^10*c*d^6 - 1749024768*a^10*c*d*e^4 - 405798912*a^10*d^3*e^3 - 51904512*a^9*b^4*e^4 - 
    58195968*a^9*b^3*c*d*e^3 - 48365568*a^9*b^3*d^3*e^2 - 212336640*a^9*b^2*c^3*e^3 + 188743680*a^9*b^2*c^2*d^2*e^2 + 
    45121536*a^9*b^2*c*d^4*e - 2654208*a^9*b^2*d^6 + 8918138880*a^9*b^2*d*e^4 - 254279680*a^9*b*c^4*d*e^2 - 
    69468160*a^9*b*c^3*d^3*e + 14450688*a^9*b*c^2*d^5 - 182452224*a^9*b*c^2*e^4 - 1564999680*a^9*b*c*d^2*e^3 + 
    667680768*a^9*b*d^4*e^2 - 138412032*a^9*c^6*e^2 + 165806080*a^9*c^5*d^2*e - 29982720*a^9*c^4*d^4 - 
    609222656*a^9*c^3*d*e^3 - 957087744*a^9*c^2*d^3*e^2 + 92602368*a^9*c*d^5*e + 18603835392*a^9*c*e^5 + 25214976*a^9*d^7 - 
    931135488*a^9*d^2*e^4 + 21233664*a^8*b^5*d*e^3 + 92012544*a^8*b^4*c^2*e^3 - 23592960*a^8*b^4*c*d^2*e^2 - 
    294912*a^8*b^4*d^4*e + 203423744*a^8*b^3*c^3*d*e^2 - 7864320*a^8*b^3*c^2*d^3*e - 9191424*a^8*b^3*c*d^5 - 
    1524105216*a^8*b^3*c*e^4 - 3922329600*a^8*b^3*d^2*e^3 + 340918272*a^8*b^2*c^5*e^2 - 149618688*a^8*b^2*c^4*d^2*e + 
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    4771241472*a^2*b^8*d*e^3 + 264192*a^2*b^7*c^7 - 590315520*a^2*b^7*c^4*d*e + 190528512*a^2*b^7*c^3*d^3 + 
    12644643840*a^2*b^7*c^2*e^3 - 12741961728*a^2*b^7*c*d^2*e^2 + 749486080*a^2*b^7*d^4*e + 118901760*a^2*b^6*c^6*e - 
    39939072*a^2*b^6*c^5*d^2 - 9241786368*a^2*b^6*c^3*d*e^2 + 6897137664*a^2*b^6*c^2*d^3*e - 1088974848*a^2*b^6*c*d^5 - 
    97617582080*a^2*b^6*c*e^4 + 28166772736*a^2*b^6*d^2*e^3 - 5381120*a^2*b^5*c^7*d + 9558761472*a^2*b^5*c^5*e^2 - 
    1325721600*a^2*b^5*c^4*d^2*e - 47085568*a^2*b^5*c^3*d^4 + 122934441984*a^2*b^5*c^2*d*e^3 - 29645223936*a^2*b^5*c*d^3*e^2 
    + 3506208768*a^2*b^5*d^5*e + 193804416000*a^2*b^5*e^5 + 1263616*a^2*b^4*c^9 - 4023557120*a^2*b^4*c^6*d*e + 
    1300268032*a^2*b^4*c^5*d^3 + 63923200*a^2*b^4*c^4*e^3 - 113015214080*a^2*b^4*c^3*d^2*e^2 + 13094993920*a^2*b^4*c^2*d^4*e 
    - 1531265024*a^2*b^4*c*d^6 - 373821696000*a^2*b^4*c*d*e^4 + 71424921600*a^2*b^4*d^3*e^3 + 753827840*a^2*b^3*c^8*e - 
    383815680*a^2*b^3*c^7*d^2 + 35101212672*a^2*b^3*c^5*d*e^2 + 34761482240*a^2*b^3*c^4*d^3*e - 7123894272*a^2*b^3*c^3*d^5 - 
    388663296000*a^2*b^3*c^3*e^4 + 772743168000*a^2*b^3*c^2*d^2*e^3 - 281972817920*a^2*b^3*c*d^4*e^2 + 
    8819441664*a^2*b^3*d^6*e - 76569600000*a^2*b^3*d*e^5 + 31776768*a^2*b^2*c^9*d + 12284018688*a^2*b^2*c^7*e^2 - 
    26588884992*a^2*b^2*c^6*d^2*e + 6392094720*a^2*b^2*c^5*d^4 + 154405068800*a^2*b^2*c^4*d*e^3 - 
    512617840640*a^2*b^2*c^3*d^3*e^2 + 202248650752*a^2*b^2*c^2*d^5*e + 754944000000*a^2*b^2*c^2*e^5 - 
    29076979712*a^2*b^2*c*d^7 - 372203520000*a^2*b^2*c*d^2*e^4 + 37724160000*a^2*b^2*d^4*e^3 - 1179648*a^2*b*c^11 - 
    244776960*a^2*b*c^8*d*e - 449445888*a^2*b*c^7*d^3 - 86724935680*a^2*b*c^6*e^3 + 154417790976*a^2*b*c^5*d^2*e^2 + 
    4692705280*a^2*b*c^4*d^4*e - 753893376*a^2*b*c^3*d^6 - 518809600000*a^2*b*c^3*d*e^4 + 206782464000*a^2*b*c^2*d^3*e^3 - 
    302961295360*a^2*b*c*d^5*e^2 - 598528000000*a^2*b*c*e^6 - 3154116608*a^2*b*d^7*e - 151398400000*a^2*b*d^2*e^5 + 
    553254912*a^2*c^10*e - 79527936*a^2*c^9*d^2 + 36728930304*a^2*c^7*d*e^2 - 42827186176*a^2*c^6*d^3*e + 
    7122255872*a^2*c^5*d^5 - 246861824000*a^2*c^5*e^4 + 277856256000*a^2*c^4*d^2*e^3 - 163613081600*a^2*c^3*d^4*e^2 + 
    151037247488*a^2*c^2*d^6*e - 932505600000*a^2*c^2*d*e^5 - 24428019712*a^2*c*d^8 - 476313600000*a^2*c*d^3*e^4 - 
    197009408000*a^2*d^5*e^3 + 57600000000*a^2*e^7 + 912384*a*b^13*e^2 + 66816*a*b^12*c*d*e + 115200*a*b^12*d^3 - 
    83712*a*b^11*c^3*e - 536832*a*b^11*c^2*d^2 + 32222592*a*b^11*d*e^2 + 308992*a*b^10*c^4*d - 191692800*a*b^10*c^2*e^2 - 
    15208704*a*b^10*c*d^2*e + 6660096*a*b^10*d^4 - 46592*a*b^9*c^6 + 129428992*a*b^9*c^3*d*e - 31699968*a*b^9*c^2*d^3 - 
    4015975680*a*b^9*c*e^3 + 795612672*a*b^9*d^2*e^2 - 27613440*a*b^8*c^5*e + 3259776*a*b^8*c^4*d^2 + 
    4306075008*a*b^8*c^2*d*e^2 - 1013601280*a*b^8*c*d^3*e + 82321408*a*b^8*d^5 + 17656423680*a*b^8*e^4 + 2684928*a*b^7*c^6*d 
    - 2805946368*a*b^7*c^4*e^2 - 671188992*a*b^7*c^3*d^2*e + 226287616*a*b^7*c^2*d^4 - 11739873280*a*b^7*c*d*e^3 - 
    3444084736*a*b^7*d^3*e^2 - 430080*a*b^6*c^8 + 1502134272*a*b^6*c^5*d*e - 407400448*a*b^6*c^4*d^3 - 
    14901735424*a*b^6*c^3*e^3 + 15341764608*a*b^6*c^2*d^2*e^2 + 2563923968*a*b^6*c*d^4*e - 492830720*a*b^6*d^6 - 
    71584921600*a*b^6*d*e^4 - 271781888*a*b^5*c^7*e + 93072384*a*b^5*c^6*d^2 + 10581426176*a*b^5*c^4*d*e^2 - 
    11070042112*a*b^5*c^3*d^3*e + 1887404032*a*b^5*c^2*d^5 + 248013312000*a*b^5*c^2*e^4 + 13347409920*a*b^5*c*d^2*e^3 + 
    1115209728*a*b^5*d^4*e^2 - 620544*a*b^4*c^8*d - 9003571200*a*b^4*c^6*e^2 + 3205535744*a*b^4*c^5*d^2*e - 
    668293120*a*b^4*c^4*d^4 - 332942540800*a*b^4*c^3*d*e^3 + 90195394560*a*b^4*c^2*d^3*e^2 - 7525990400*a*b^4*c*d^5*e - 
    655603200000*a*b^4*c*e^5 - 620363776*a*b^4*d^7 + 226118400000*a*b^4*d^2*e^4 - 548864*a*b^3*c^10 + 
    3145973760*a*b^3*c^7*d*e - 797097984*a*b^3*c^6*d^3 + 73181102080*a*b^3*c^5*e^3 + 133194915840*a*b^3*c^4*d^2*e^2 - 
    47361556480*a*b^3*c^3*d^4*e + 8772583424*a*b^3*c^2*d^6 + 1098117120000*a*b^3*c^2*d*e^4 - 675590144000*a*b^3*c*d^3*e^3 - 
    18117591040*a*b^3*d^5*e^2 + 265728000000*a*b^3*e^6 - 640081920*a*b^2*c^9*e + 262606848*a*b^2*c^8*d^2 - 
    77644001280*a*b^2*c^6*d*e^2 - 2149269504*a*b^2*c^5*d^3*e - 654360576*a*b^2*c^4*d^5 + 60308480000*a*b^2*c^4*e^4 - 
    674168832000*a*b^2*c^3*d^2*e^3 + 660266188800*a*b^2*c^2*d^4*e^2 - 37188075520*a*b^2*c*d^6*e - 660992000000*a*b^2*c*d*e^5 
    - 77594624*a*b^2*d^8 - 105932800000*a*b^2*d^3*e^4 - 25067520*a*b*c^10*d + 1633714176*a*b*c^8*e^2 + 
    20841234432*a*b*c^7*d^2*e - 3626287104*a*b*c^6*d^4 + 39097958400*a*b*c^5*d*e^3 + 152885248000*a*b*c^4*d^3*e^2 - 
    237889978368*a*b*c^3*d^5*e - 552038400000*a*b*c^3*e^5 + 36737646592*a*b*c^2*d^7 + 576409600000*a*b*c^2*d^2*e^4 + 
    57917440000*a*b*c*d^4*e^3 + 188452044800*a*b*d^6*e^2 + 298240000000*a*b*d*e^6 + 1769472*a*c^12 - 3067084800*a*c^9*d*e + 
    625934336*a*c^8*d^3 + 58867712000*a*c^7*e^3 - 160419348480*a*c^6*d^2*e^2 + 112046440448*a*c^5*d^4*e - 
    17419272192*a*c^4*d^6 + 577536000000*a*c^4*d*e^4 - 455106560000*a*c^3*d^3*e^3 + 134696960000*a*c^2*d^5*e^2 + 
    665600000000*a*c^2*e^6 - 103459061760*a*c*d^7*e + 486912000000*a*c*d^2*e^5 + 17706254336*a*d^9 + 542412800000*a*d^4*e^4 -
    41472*b^14*d*e + 13824*b^13*c^2*e + 32256*b^13*c*d^2 - 19968*b^12*c^3*d + 13409280*b^12*c*e^2 + 271872*b^12*d^2*e + 
    3072*b^11*c^5 - 9643392*b^11*c^2*d*e + 1806336*b^11*c*d^3 + 395345664*b^11*e^3 + 2188416*b^10*c^4*e + 98432*b^10*c^3*d^2 
    - 477415296*b^10*c*d*e^2 + 47923200*b^10*d^3*e - 313984*b^9*c^5*d + 275851776*b^9*c^3*e^2 + 126024192*b^9*c^2*d^2*e - 
    25796608*b^9*c*d^4 - 3192738816*b^9*d*e^3 + 45312*b^8*c^7 - 170980992*b^8*c^4*d*e + 34415104*b^8*c^3*d^3 + 
    3624528768*b^8*c^2*e^3 + 2742292992*b^8*c*d^2*e^2 - 300982272*b^8*d^4*e + 30802944*b^7*c^6*e - 4319232*b^7*c^5*d^2 - 
    4489276416*b^7*c^3*d*e^2 - 14446592*b^7*c^2*d^3*e + 23724032*b^7*c*d^5 - 25626316800*b^7*c*e^4 + 11087503360*b^7*d^2*e^3 
    - 1408000*b^6*c^7*d + 1655310336*b^6*c^5*e^2 + 1025209344*b^6*c^4*d^2*e - 120598528*b^6*c^3*d^4 + 
    24557271040*b^6*c^2*d*e^3 - 19766718464*b^6*c*d^3*e^2 + 356122624*b^6*d^5*e + 13142400000*b^6*e^5 + 198656*b^5*c^9 - 
    893753344*b^5*c^6*d*e + 141126656*b^5*c^5*d^3 - 2035153920*b^5*c^4*e^3 + 169338880*b^5*c^3*d^2*e^2 + 
    8911011840*b^5*c^2*d^4*e - 958791680*b^5*c*d^6 + 72826752000*b^5*c*d*e^4 - 47429222400*b^5*d^3*e^3 + 142125056*b^4*c^8*e 
    - 21849088*b^4*c^7*d^2 - 1219163136*b^4*c^5*d*e^2 - 5113948160*b^4*c^4*d^3*e - 2998272*b^4*c^3*d^5 - 
    123847680000*b^4*c^3*e^4 - 85942272000*b^4*c^2*d^2*e^3 + 121661440000*b^4*c*d^4*e^2 - 1907228672*b^4*d^6*e + 
    12806400000*b^4*d*e^5 - 2056192*b^3*c^9*d + 2192764928*b^3*c^7*e^2 + 1502273536*b^3*c^6*d^2*e + 526655488*b^3*c^5*d^4 + 
    222668800000*b^3*c^4*d*e^3 - 123515699200*b^3*c^3*d^3*e^2 - 61827416064*b^3*c^2*d^5*e + 473548800000*b^3*c^2*e^5 + 
    10491002880*b^3*c*d^7 - 292531200000*b^3*c*d^2*e^4 + 192143360000*b^3*d^4*e^3 + 221184*b^2*c^11 - 1194012672*b^2*c^8*d*e 
    - 86106112*b^2*c^7*d^3 - 53230284800*b^2*c^6*e^3 - 44959703040*b^2*c^5*d^2*e^2 + 108794839040*b^2*c^4*d^4*e - 
    17831919616*b^2*c^3*d^6 - 884940800000*b^2*c^3*d*e^4 + 783564800000*b^2*c^2*d^3*e^3 - 341969305600*b^2*c*d^5*e^2 - 
    353280000000*b^2*c*e^6 + 15539896320*b^2*d^7*e + 114176000000*b^2*d^2*e^5 + 199950336*b*c^10*e + 15630336*b*c^9*d^2 + 
    40632483840*b*c^7*d*e^2 - 50209767424*b*c^6*d^3*e + 8731312128*b*c^5*d^5 + 183808000000*b*c^5*e^4 + 
    106055680000*b*c^4*d^2*e^3 - 313880576000*b*c^3*d^4*e^2 + 191661998080*b*c^2*d^6*e + 962304000000*b*c^2*d*e^5 - 
    25667043328*b*c*d^8 - 193382400000*b*c*d^3*e^4 - 240025600000*b*d^5*e^3 - 4423680*c^11*d - 3932651520*c^9*e^2 + 
    5696225280*c^8*d^2*e - 1090519040*c^7*d^4 - 117198848000*c^6*d*e^3 + 174524825600*c^5*d^3*e^2 - 85664727040*c^4*d^5*e - 
    200192000000*c^4*e^5 + 11812864000*c^3*d^7 - 123136000000*c^3*d^2*e^4 - 18739200000*c^2*d^4*e^3 + 123879424000*c*d^6*e^2 
    - 556800000000*c*d*e^6 - 22596812800*d^8*e - 355840000000*d^3*e^5
;
M[2][4,3] :=
                                -M[2][3,4];
M[3][3,4] :=
-150994944*a^12*d*e^4 + 273678336*a^11*b*d^2*e^3 - 50331648*a^11*c^2*d*e^3 - 18874368*a^11*c*d^3*e^2 + 4982833152*a^11*e^5 + 
    9437184*a^10*b^3*e^4 - 122683392*a^10*b^2*c*d*e^3 - 141557760*a^10*b^2*d^3*e^2 + 276824064*a^10*b*c^3*e^3 + 
    2359296*a^10*b*c^2*d^2*e^2 + 41287680*a^10*b*c*d^4*e - 3981312*a^10*b*d^6 - 6209667072*a^10*b*d*e^4 + 
    52428800*a^10*c^4*d*e^2 - 59768832*a^10*c^3*d^3*e + 10616832*a^10*c^2*d^5 - 4882169856*a^10*c^2*e^4 + 
    3400531968*a^10*c*d^2*e^3 - 441188352*a^10*d^4*e^2 + 21233664*a^9*b^4*d*e^3 - 277610496*a^9*b^3*c^2*e^3 + 
    145096704*a^9*b^3*c*d^2*e^2 + 16957440*a^9*b^3*d^4*e - 246153216*a^9*b^2*c^3*d*e^2 + 9437184*a^9*b^2*c^2*d^3*e - 
    5160960*a^9*b^2*c*d^5 + 6304038912*a^9*b^2*c*e^4 + 212336640*a^9*b^2*d^2*e^3 - 136314880*a^9*b*c^5*e^2 + 
    182386688*a^9*b*c^4*d^2*e - 32538624*a^9*b*c^3*d^4 + 2159542272*a^9*b*c^2*d*e^3 - 2293235712*a^9*b*c*d^3*e^2 + 
    403734528*a^9*b*d^5*e - 63421022208*a^9*b*e^5 - 7340032*a^9*c^6*d*e + 1441792*a^9*c^5*d^3 + 1818230784*a^9*c^4*e^3 - 
    1988886528*a^9*c^3*d^2*e^2 + 909508608*a^9*c^2*d^4*e - 120766464*a^9*c*d^6 + 11223957504*a^9*c*d*e^4 - 
    2161115136*a^9*d^3*e^3 + 101449728*a^8*b^5*c*e^3 - 30081024*a^8*b^5*d^2*e^2 + 183435264*a^8*b^4*c^2*d*e^2 - 
    33619968*a^8*b^4*c*d^3*e - 571392*a^8*b^4*d^5 - 1377828864*a^8*b^4*e^4 + 290652160*a^8*b^3*c^4*e^2 - 
    187170816*a^8*b^3*c^3*d^2*e + 35438592*a^8*b^3*c^2*d^4 - 3088318464*a^8*b^3*c*d*e^3 + 1350107136*a^8*b^3*d^3*e^2 - 
    72548352*a^8*b^2*c^5*d*e + 13107200*a^8*b^2*c^4*d^3 - 6598164480*a^8*b^2*c^3*e^3 + 4207804416*a^8*b^2*c^2*d^2*e^2 - 
    1082327040*a^8*b^2*c*d^4*e + 22192128*a^8*b^2*d^6 + 85431681024*a^8*b^2*d*e^4 + 16252928*a^8*b*c^7*e - 
    2834432*a^8*b*c^6*d^2 + 503447552*a^8*b*c^4*d*e^2 - 624033792*a^8*b*c^3*d^3*e + 95551488*a^8*b*c^2*d^5 + 
    47908651008*a^8*b*c^2*e^4 - 45708214272*a^8*b*c*d^2*e^3 + 6463733760*a^8*b*d^4*e^2 - 65536*a^8*c^8*d - 
    305135616*a^8*c^6*e^2 + 291307520*a^8*c^5*d^2*e - 49037312*a^8*c^4*d^4 - 10316414976*a^8*c^3*d*e^3 + 
    7572553728*a^8*c^2*d^3*e^2 - 2571337728*a^8*c*d^5*e + 92667904000*a^8*c*e^5 + 237551616*a^8*d^7 - 15443951616*a^8*d^2*e^4
    - 12681216*a^7*b^7*e^3 - 61046784*a^7*b^6*c*d*e^2 + 7483392*a^7*b^6*d^3*e - 231309312*a^7*b^5*c^3*e^2 + 
    87957504*a^7*b^5*c^2*d^2*e - 9944064*a^7*b^5*c*d^4 + 762052608*a^7*b^5*d*e^3 + 98811904*a^7*b^4*c^4*d*e - 
    20078592*a^7*b^4*c^3*d^3 + 5782044672*a^7*b^4*c^2*e^3 - 2335703040*a^7*b^4*c*d^2*e^2 - 27777024*a^7*b^4*d^4*e - 
    22036480*a^7*b^3*c^6*e + 5251072*a^7*b^3*c^5*d^2 + 681312256*a^7*b^3*c^3*d*e^2 + 680263680*a^7*b^3*c^2*d^3*e + 
    23691264*a^7*b^3*c*d^5 - 66012708864*a^7*b^3*c*e^4 - 23201415168*a^7*b^3*d^2*e^3 - 737280*a^7*b^2*c^7*d + 
    1827143680*a^7*b^2*c^5*e^2 - 1637384192*a^7*b^2*c^4*d^2*e + 287195136*a^7*b^2*c^3*d^4 - 178520064*a^7*b^2*c^2*d*e^3 + 
    21870379008*a^7*b^2*c*d^3*e^2 - 3807756288*a^7*b^2*d^5*e + 291192176640*a^7*b^2*e^5 + 131072*a^7*b*c^9 - 
    99713024*a^7*b*c^6*d*e + 14188544*a^7*b*c^5*d^3 - 9715384320*a^7*b*c^4*e^3 + 14492958720*a^7*b*c^3*d^2*e^2 - 
    5876465664*a^7*b*c^2*d^4*e + 1023934464*a^7*b*c*d^6 - 254790336512*a^7*b*c*d*e^4 + 40145190912*a^7*b*d^3*e^3 + 
    19464192*a^7*c^8*e - 4276224*a^7*c^7*d^2 + 2766143488*a^7*c^5*d*e^2 - 2551906304*a^7*c^4*d^3*e + 425181184*a^7*c^3*d^5 - 
    76427296768*a^7*c^3*e^4 + 83306479616*a^7*c^2*d^2*e^3 - 17739628544*a^7*c*d^4*e^2 + 1916682240*a^7*d^6*e - 
    78669414400*a^7*d*e^5 + 7686144*a^6*b^8*d*e^2 + 89579520*a^6*b^7*c^2*e^2 - 17860608*a^6*b^7*c*d^2*e + 884736*a^6*b^7*d^4 
    - 51707904*a^6*b^6*c^3*d*e + 8374272*a^6*b^6*c^2*d^3 - 1899429888*a^6*b^6*c*e^3 + 288976896*a^6*b^6*d^2*e^2 + 
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    152211456*a*b^8*c*d^4 - 15910053888*a*b^8*d*e^3 - 430080*a*b^7*c^7 + 1430409216*a*b^7*c^4*d*e - 371562496*a*b^7*c^3*d^3 +
    42417996800*a*b^7*c^2*e^3 - 1749891072*a*b^7*c*d^2*e^2 - 666484736*a*b^7*d^4*e - 325825536*a*b^6*c^6*e + 
    106352640*a*b^6*c^5*d^2 - 37239318528*a*b^6*c^3*d*e^2 + 10065707008*a*b^6*c^2*d^3*e - 1125548032*a*b^6*c*d^5 - 
    174401331200*a*b^6*c*e^4 + 172910182400*a*b^6*d^2*e^3 - 994304*a*b^5*c^7*d - 2793183232*a*b^5*c^5*e^2 + 
    7086722048*a*b^5*c^4*d^2*e - 1790369792*a*b^5*c^3*d^4 - 66160527360*a*b^5*c^2*d*e^3 - 90358603776*a*b^5*c*d^3*e^2 + 
    11630739456*a*b^5*d^5*e + 143326080000*a*b^5*e^5 - 548864*a*b^4*c^9 + 1384905728*a*b^4*c^6*d*e - 331679744*a*b^4*c^5*d^3 
    + 195883801600*a*b^4*c^4*e^3 + 6959185920*a*b^4*c^3*d^2*e^2 - 5976473600*a*b^4*c^2*d^4*e + 967966720*a*b^4*c*d^6 + 
    966739200000*a*b^4*c*d*e^4 - 678316032000*a*b^4*d^3*e^3 - 588992512*a*b^3*c^8*e + 239104000*a*b^3*c^7*d^2 - 
    156881768448*a*b^3*c^5*d*e^2 + 60524994560*a*b^3*c^4*d^3*e - 10614898688*a*b^3*c^3*d^5 - 1474129920000*a*b^3*c^3*e^4 + 
    311881728000*a*b^3*c^2*d^2*e^3 + 440252825600*a*b^3*c*d^4*e^2 - 45060325376*a*b^3*d^6*e - 474700800000*a*b^3*d*e^5 - 
    24293376*a*b^2*c^9*d + 16537251840*a*b^2*c^7*e^2 + 10810368000*a*b^2*c^6*d^2*e - 1862615040*a*b^2*c^5*d^4 + 
    1173552128000*a*b^2*c^4*d*e^3 - 757060403200*a*b^2*c^3*d^3*e^2 + 6911590400*a*b^2*c^2*d^5*e + 3470848000000*a*b^2*c^2*e^5
    + 8559263744*a*b^2*c*d^7 - 3857254400000*a*b^2*c*d^2*e^4 + 1216491520000*a*b^2*d^4*e^3 + 1769472*a*b*c^11 - 
    4089397248*a*b*c^8*d*e + 835026944*a*b*c^7*d^3 + 10663116800*a*b*c^6*e^3 - 334221312000*a*b*c^5*d^2*e^2 + 
    262426542080*a*b*c^4*d^4*e - 41394241536*a*b*c^3*d^6 - 2895872000000*a*b*c^3*d*e^4 + 3504680960000*a*b*c^2*d^3*e^3 - 
    1261004390400*a*b*c*d^5*e^2 - 2110720000000*a*b*c*e^6 + 79652454400*a*b*d^7*e + 1324800000000*a*b*d^2*e^5 + 
    99090432*a*c^10*e - 22118400*a*c^9*d^2 + 32372490240*a*c^7*d*e^2 - 26789052416*a*c^6*d^3*e + 4581490688*a*c^5*d^5 - 
    289157120000*a*c^5*e^4 + 1391144960000*a*c^4*d^2*e^3 - 1455001600000*a*c^3*d^4*e^2 + 548993761280*a*c^2*d^6*e + 
    232704000000*a*c^2*d*e^5 - 65847427072*a*c*d^8 + 618598400000*a*c*d^3*e^4 - 380272640000*a*d^5*e^3 + 288000000000*a*e^7 +
    27648*b^14*d^2 - 18432*b^13*c^2*d + 22394880*b^13*e^2 + 3072*b^12*c^4 - 14810112*b^12*c*d*e + 3133440*b^12*d^3 + 
    3277824*b^11*c^3*e - 301824*b^11*c^2*d^2 - 42547968*b^11*d*e^2 - 291328*b^10*c^4*d + 284685696*b^10*c^2*e^2 + 
    6405120*b^10*c*d^2*e + 1916928*b^10*d^4 + 45312*b^9*c^6 - 174413312*b^9*c^3*d*e + 35443712*b^9*c^2*d^3 - 
    2359091712*b^9*c*e^3 + 1313362944*b^9*d^2*e^2 + 37211904*b^8*c^5*e - 6489984*b^8*c^4*d^2 + 1484822784*b^8*c^2*d*e^2 - 
    1038979072*b^8*c*d^3*e + 90898432*b^8*d^5 + 5701584000*b^8*e^4 - 1308672*b^7*c^6*d + 910685184*b^7*c^4*e^2 - 
    59332608*b^7*c^3*d^2*e + 134422528*b^7*c^2*d^4 + 15244503040*b^7*c*d*e^3 - 21629034496*b^7*d^3*e^2 + 198656*b^6*c^8 - 
    582715392*b^6*c^5*d*e + 70159360*b^6*c^4*d^3 - 24907991040*b^6*c^3*e^3 + 16652187648*b^6*c^2*d^2*e^2 + 
    15156740096*b^6*c*d^4*e - 2492203008*b^6*d^6 - 36866176000*b^6*d*e^4 + 132292608*b^5*c^7*e - 20231168*b^5*c^6*d^2 + 
    14595788800*b^5*c^4*d*e^2 - 22545408000*b^5*c^3*d^3*e + 3407773696*b^5*c^2*d^5 + 135545472000*b^5*c^2*e^4 - 
    221092454400*b^5*c*d^2*e^3 + 114136350720*b^5*d^4*e^2 - 1945600*b^4*c^8*d - 704059392*b^4*c^6*e^2 + 
    4973293568*b^4*c^5*d^2*e - 292782080*b^4*c^4*d^4 + 84076544000*b^4*c^3*d*e^3 + 27400192000*b^4*c^2*d^3*e^2 - 
    94079156224*b^4*c*d^5*e - 205555200000*b^4*c*e^5 + 13231980544*b^4*d^7 + 158515200000*b^4*d^2*e^4 + 221184*b^3*c^10 - 
    1265905664*b^3*c^7*d*e - 39100416*b^3*c^6*d^3 - 73451008000*b^3*c^5*e^3 - 40754380800*b^3*c^4*d^2*e^2 + 
    101712363520*b^3*c^3*d^4*e - 15788867584*b^3*c^2*d^6 - 638131200000*b^3*c^2*d*e^4 + 845230080000*b^3*c*d^3*e^3 - 
    270032896000*b^3*d^5*e^2 + 134400000000*b^3*e^6 + 205037568*b^2*c^9*e + 12201984*b^2*c^8*d^2 + 62766243840*b^2*c^6*d*e^2 
    - 67041427456*b^2*c^5*d^3*e + 11254841344*b^2*c^4*d^5 + 644390400000*b^2*c^4*e^4 - 468275200000*b^2*c^3*d^2*e^3 - 
    296296448000*b^2*c^2*d^4*e^2 + 248825774080*b^2*c*d^6*e + 402944000000*b^2*c*d*e^5 - 30924603392*b^2*d^8 - 
    269465600000*b^2*d^3*e^4 - 4423680*b*c^10*d - 8374026240*b*c^8*e^2 + 10460971008*b*c^7*d^2*e - 1964490752*b*c^6*d^4 - 
    377317376000*b*c^5*d*e^3 + 594710528000*b*c^4*d^3*e^2 - 272621895680*b*c^3*d^5*e - 1618944000000*b*c^3*e^5 + 
    35496656896*b*c^2*d^7 + 2712524800000*b*c^2*d^2*e^4 - 1498316800000*b*c*d^4*e^3 + 296910848000*b*d^6*e^2 - 
    89600000000*b*d*e^6 - 207912960*c^9*d*e + 50872320*c^8*d^3 + 29970432000*c^7*e^3 - 53272166400*c^6*d^2*e^2 + 
    26317291520*c^5*d^4*e - 3690496000*c^4*d^6 + 697088000000*c^4*d*e^4 - 1458995200000*c^3*d^3*e^3 + 
    1051910144000*c^2*d^5*e^2 + 1107200000000*c^2*e^6 - 315542732800*c*d^7*e - 1520640000000*c*d^2*e^5 + 32967229440*d^9 + 
    466432000000*d^4*e^4
;
M[3][4,3] :=
                                -M[3][3,4];
M[4][3,4] :=
-100663296*a^12*c*e^4 + 163577856*a^12*d^2*e^3 + 37748736*a^11*b^2*e^4 - 62914560*a^11*b*c*d*e^3 - 122683392*a^11*b*d^3*e^2 +
    335544320*a^11*c^3*e^3 - 84934656*a^11*c^2*d^2*e^2 + 42467328*a^11*c*d^4*e - 5308416*a^11*d^6 - 2994733056*a^11*d*e^4 + 
    3145728*a^10*b^3*d*e^3 - 361758720*a^10*b^2*c^2*e^3 + 179306496*a^10*b^2*c*d^2*e^2 + 14745600*a^10*b^2*d^4*e - 
    166723584*a^10*b*c^3*d*e^2 - 42467328*a^10*b*c^2*d^3*e + 5308416*a^10*b*c*d^5 + 2906652672*a^10*b*c*e^4 + 
    704643072*a^10*b*d^2*e^3 - 146800640*a^10*c^5*e^2 + 158597120*a^10*c^4*d^2*e - 27918336*a^10*c^3*d^4 - 
    18874368*a^10*c^2*d*e^3 - 1179648000*a^10*c*d^3*e^2 + 244187136*a^10*d^5*e + 6790578176*a^10*e^5 + 
    135266304*a^9*b^4*c*e^3 - 34209792*a^9*b^4*d^2*e^2 + 155713536*a^9*b^3*c^2*d*e^2 - 18481152*a^9*b^3*c*d^3*e - 
    2555904*a^9*b^3*d^5 - 887095296*a^9*b^3*e^4 + 316932096*a^9*b^2*c^4*e^2 - 164364288*a^9*b^2*c^3*d^2*e + 
    30081024*a^9*b^2*c^2*d^4 - 1390411776*a^9*b^2*c*d*e^3 + 960233472*a^9*b^2*d^3*e^2 - 85196800*a^9*b*c^5*d*e + 
    16187392*a^9*b*c^4*d^3 - 4268752896*a^9*b*c^3*e^3 + 2866544640*a^9*b*c^2*d^2*e^2 - 562102272*a^9*b*c*d^4*e + 
    6635520*a^9*b*d^6 + 29845618688*a^9*b*d*e^4 + 16777216*a^9*c^7*e - 3342336*a^9*c^6*d^2 + 711458816*a^9*c^4*d*e^2 - 
    728760320*a^9*c^3*d^3*e + 124452864*a^9*c^2*d^5 - 10008657920*a^9*c^2*e^4 + 6374293504*a^9*c*d^2*e^3 - 
    895942656*a^9*d^4*e^2 - 16908288*a^8*b^6*e^3 - 60162048*a^8*b^5*c*d*e^2 + 6193152*a^8*b^5*d^3*e - 
    257163264*a^8*b^4*c^3*e^2 + 79921152*a^8*b^4*c^2*d^2*e - 8527872*a^8*b^4*c*d^4 + 473432064*a^8*b^4*d*e^3 + 
    108462080*a^8*b^3*c^4*d*e - 22544384*a^8*b^3*c^3*d^3 + 4820041728*a^8*b^3*c^2*e^3 - 2253127680*a^8*b^3*c*d^2*e^2 - 
    76038144*a^8*b^3*d^4*e - 22740992*a^8*b^2*c^6*e + 6029312*a^8*b^2*c^5*d^2 + 58982400*a^8*b^2*c^3*d*e^2 + 
    909508608*a^8*b^2*c^2*d^3*e - 63553536*a^8*b^2*c*d^5 - 16718495744*a^8*b^2*c*e^4 - 21419917312*a^8*b^2*d^2*e^3 - 
    851968*a^8*b*c^7*d + 1332477952*a^8*b*c^5*e^2 - 1086455808*a^8*b*c^4*d^2*e + 192118784*a^8*b*c^3*d^4 + 
    3901751296*a^8*b*c^2*d*e^3 + 10595991552*a^8*b*c*d^3*e^2 - 2360180736*a^8*b*d^5*e - 82134958080*a^8*b*e^5 + 
    131072*a^8*c^9 - 58064896*a^8*c^6*d*e + 6881280*a^8*c^5*d^3 + 7442006016*a^8*c^4*e^3 - 5680660480*a^8*c^3*d^2*e^2 + 
    2284584960*a^8*c^2*d^4*e - 194789376*a^8*c*d^6 - 37506514944*a^8*c*d*e^4 + 518258688*a^8*d^3*e^3 + 8257536*a^7*b^7*d*e^2 
    + 101449728*a^7*b^6*c^2*e^2 - 16515072*a^7*b^6*c*d^2*e + 807936*a^7*b^6*d^4 - 55345152*a^7*b^5*c^3*d*e + 
    9560064*a^7*b^5*c^2*d^3 - 1770651648*a^7*b^5*c*e^3 + 337084416*a^7*b^5*d^2*e^2 + 12025856*a^7*b^4*c^5*e - 
    3977216*a^7*b^4*c^4*d^2 - 772669440*a^7*b^4*c^2*d*e^2 + 25952256*a^7*b^4*c*d^3*e + 23218176*a^7*b^4*d^5 + 
    5414977536*a^7*b^4*e^4 + 1376256*a^7*b^3*c^6*d - 2758279168*a^7*b^3*c^4*e^2 + 1183449088*a^7*b^3*c^3*d^2*e - 
    269697024*a^7*b^3*c^2*d^4 + 15532425216*a^7*b^3*c*d*e^3 - 568524800*a^7*b^3*d^3*e^2 - 229376*a^7*b^2*c^8 + 
    777388032*a^7*b^2*c^5*d*e - 152174592*a^7*b^2*c^4*d^3 + 9768271872*a^7*b^2*c^3*e^3 - 17754095616*a^7*b^2*c^2*d^2*e^2 + 
    1469153280*a^7*b^2*c*d^4*e + 333398016*a^7*b^2*d^6 - 86425993216*a^7*b^2*d*e^4 - 142934016*a^7*b*c^7*e + 
    38453248*a^7*b*c^6*d^2 - 7245725696*a^7*b*c^4*d*e^2 + 5800722432*a^7*b*c^3*d^3*e - 1273036800*a^7*b*c^2*d^5 + 
    125888626688*a^7*b*c^2*e^4 - 31531859968*a^7*b*c*d^2*e^3 + 9158049792*a^7*b*d^4*e^2 - 1179648*a^7*c^8*d - 
    2146631680*a^7*c^6*e^2 + 2119827456*a^7*c^5*d^2*e - 324960256*a^7*c^4*d^4 - 11126964224*a^7*c^3*d*e^3 - 
    12137660416*a^7*c^2*d^3*e^2 + 2189393920*a^7*c*d^5*e + 104084275200*a^7*c*e^5 - 143278080*a^7*d^7 + 
    51311083520*a^7*d^2*e^4 - 19537920*a^6*b^8*c*e^2 + 1032192*a^6*b^8*d^2*e + 12902400*a^6*b^7*c^2*d*e - 
    1689600*a^6*b^7*c*d^3 + 211451904*a^6*b^7*e^3 - 2904064*a^6*b^6*c^4*e + 1904640*a^6*b^6*c^3*d^2 + 
    448561152*a^6*b^6*c*d*e^2 - 40624128*a^6*b^6*d^3*e - 1044480*a^6*b^5*c^5*d + 2195128320*a^6*b^5*c^3*e^2 - 
    606928896*a^6*b^5*c^2*d^2*e + 83352576*a^6*b^5*c*d^4 - 4268654592*a^6*b^5*d*e^3 + 172032*a^6*b^4*c^7 - 
    923918336*a^6*b^4*c^4*d*e + 225738752*a^6*b^4*c^3*d^3 - 18302337024*a^6*b^4*c^2*e^3 + 9036742656*a^6*b^4*c*d^2*e^2 - 
    33867776*a^6*b^4*d^4*e + 188792832*a^6*b^3*c^6*e - 64462848*a^6*b^3*c^5*d^2 + 10571218944*a^6*b^3*c^3*d*e^2 - 
    5116788736*a^6*b^3*c^2*d^3*e + 374841344*a^6*b^3*c*d^5 + 616562688*a^6*b^3*c*e^4 + 101193252864*a^6*b^3*d^2*e^3 + 
    6012928*a^6*b^2*c^7*d + 639959040*a^6*b^2*c^5*e^2 - 1636630528*a^6*b^2*c^4*d^2*e + 491421696*a^6*b^2*c^3*d^4 - 
    53340143616*a^6*b^2*c^2*d*e^3 - 35442032640*a^6*b^2*c*d^3*e^2 + 7449968640*a^6*b^2*d^5*e + 356189798400*a^6*b^2*e^5 - 
    589824*a^6*b*c^9 - 516587520*a^6*b*c^6*d*e + 56590336*a^6*b*c^5*d^3 - 63199248384*a^6*b*c^4*e^3 + 
    79728934912*a^6*b*c^3*d^2*e^2 - 20881326080*a^6*b*c^2*d^4*e + 1826226176*a^6*b*c*d^6 + 147044761600*a^6*b*c*d*e^4 - 
    54331244544*a^6*b*d^3*e^3 + 205193216*a^6*c^8*e - 37994496*a^6*c^7*d^2 + 11717640192*a^6*c^5*d*e^2 - 
    12194152448*a^6*c^4*d^3*e + 2065481728*a^6*c^3*d^5 - 120758599680*a^6*c^3*e^4 + 76399509504*a^6*c^2*d^2*e^3 + 
    9491464192*a^6*c*d^4*e^2 - 2893889536*a^6*d^6*e - 183189504000*a^6*d*e^5 + 1465344*a^5*b^10*e^2 - 1179648*a^5*b^9*c*d*e +
    112128*a^5*b^9*d^3 + 282624*a^5*b^8*c^3*e - 622080*a^5*b^8*c^2*d^2 - 69875712*a^5*b^8*d*e^2 + 391168*a^5*b^7*c^4*d - 
    849936384*a^5*b^7*c^2*e^2 + 125005824*a^5*b^7*c*d^2*e - 8374272*a^5*b^7*d^4 - 63488*a^5*b^6*c^6 + 
    451674112*a^5*b^6*c^3*d*e - 99495936*a^5*b^6*c^2*d^3 + 7224033280*a^5*b^6*c*e^3 - 1032099840*a^5*b^6*d^2*e^2 - 
    96161792*a^5*b^5*c^5*e + 32986112*a^5*b^5*c^4*d^2 - 2626953216*a^5*b^5*c^2*d*e^2 + 607711232*a^5*b^5*c*d^3*e - 
    90917888*a^5*b^5*d^5 - 8399978496*a^5*b^5*e^4 - 6242304*a^5*b^4*c^6*d + 3429371904*a^5*b^4*c^4*e^2 - 
    462364672*a^5*b^4*c^3*d^2*e + 330297344*a^5*b^4*c^2*d^4 - 35158032384*a^5*b^4*c*d*e^3 - 11328270336*a^5*b^4*d^3*e^2 + 
    917504*a^5*b^3*c^8 - 798703616*a^5*b^3*c^5*d*e + 132177920*a^5*b^3*c^4*d^3 + 47648342016*a^5*b^3*c^3*e^3 + 
    16679632896*a^5*b^3*c^2*d^2*e^2 + 6519193600*a^5*b^3*c*d^4*e - 1945804800*a^5*b^3*d^6 + 25645547520*a^5*b^3*d*e^4 + 
    67698688*a^5*b^2*c^7*e - 27394048*a^5*b^2*c^6*d^2 - 10037231616*a^5*b^2*c^4*d*e^2 - 3254714368*a^5*b^2*c^3*d^3*e + 
    2490056704*a^5*b^2*c^2*d^5 - 412709355520*a^5*b^2*c^2*e^4 + 52309393408*a^5*b^2*c*d^2*e^3 - 21399404544*a^5*b^2*d^4*e^2 -
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    8975286272*b*c^3*d^6 - 1119641600000*b*c^3*d*e^4 + 1085337600000*b*c^2*d^3*e^3 - 308527104000*b*c*d^5*e^2 - 
    1363200000000*b*c*e^6 + 15151923200*b*d^7*e + 508160000000*b*d^2*e^5 + 26542080*c^10*e - 4423680*c^9*d^2 + 
    12895027200*c^7*d*e^2 - 9983754240*c^6*d^3*e + 1646264320*c^5*d^5 - 17203200000*c^5*e^4 + 330035200000*c^4*d^2*e^3 - 
    377630720000*c^3*d^4*e^2 + 143730278400*c^2*d^6*e + 574720000000*c^2*d*e^5 - 17123246080*c*d^8 - 259584000000*c*d^3*e^4 -
    11878400000*d^5*e^3 + 480000000000*e^7
;
M[4][4,3] :=
                                -M[4][3,4];
M[5][3,4] :=
-100663296*a^11*c*e^4 + 163577856*a^11*d^2*e^3 + 37748736*a^10*b^2*e^4 - 62914560*a^10*b*c*d*e^3 - 122683392*a^10*b*d^3*e^2 +
    335544320*a^10*c^3*e^3 - 84934656*a^10*c^2*d^2*e^2 + 42467328*a^10*c*d^4*e - 5308416*a^10*d^6 - 2843738112*a^10*d*e^4 + 
    3145728*a^9*b^3*d*e^3 - 361758720*a^9*b^2*c^2*e^3 + 179306496*a^9*b^2*c*d^2*e^2 + 14745600*a^9*b^2*d^4*e - 
    166723584*a^9*b*c^3*d*e^2 - 42467328*a^9*b*c^2*d^3*e + 5308416*a^9*b*c*d^5 + 2805989376*a^9*b*c*e^4 + 
    594542592*a^9*b*d^2*e^3 - 146800640*a^9*c^5*e^2 + 158597120*a^9*c^4*d^2*e - 27918336*a^9*c^3*d^4 + 31457280*a^9*c^2*d*e^3
    - 1160773632*a^9*c*d^3*e^2 + 244187136*a^9*d^5*e + 2747269120*a^9*e^5 + 135266304*a^8*b^4*c*e^3 - 
    34209792*a^8*b^4*d^2*e^2 + 155713536*a^8*b^3*c^2*d*e^2 - 18481152*a^8*b^3*c*d^3*e - 2555904*a^8*b^3*d^5 - 
    858783744*a^8*b^3*e^4 + 316932096*a^8*b^2*c^4*e^2 - 164364288*a^8*b^2*c^3*d^2*e + 30081024*a^8*b^2*c^2*d^4 - 
    1330642944*a^8*b^2*c*d*e^3 + 979107840*a^8*b^2*d^3*e^2 - 85196800*a^8*b*c^5*d*e + 16187392*a^8*b*c^4*d^3 - 
    4210032640*a^8*b*c^3*e^3 + 2779250688*a^8*b*c^2*d^2*e^2 - 560922624*a^8*b*c*d^4*e + 5308416*a^8*b*d^6 + 
    32112640000*a^8*b*d*e^4 + 16777216*a^8*c^7*e - 3342336*a^8*c^6*d^2 + 659030016*a^8*c^4*d*e^2 - 668991488*a^8*c^3*d^3*e + 
    113836032*a^8*c^2*d^5 - 5462032384*a^8*c^2*e^4 + 3449815040*a^8*c*d^2*e^3 - 532611072*a^8*d^4*e^2 - 16908288*a^7*b^6*e^3 
    - 60162048*a^7*b^5*c*d*e^2 + 6193152*a^7*b^5*d^3*e - 257163264*a^7*b^4*c^3*e^2 + 79921152*a^7*b^4*c^2*d^2*e - 
    8527872*a^7*b^4*c*d^4 + 455344128*a^7*b^4*d*e^3 + 108462080*a^7*b^3*c^4*d*e - 22544384*a^7*b^3*c^3*d^3 + 
    4735893504*a^7*b^3*c^2*e^3 - 2218917888*a^7*b^3*c*d^2*e^2 - 78249984*a^7*b^3*d^4*e - 22740992*a^7*b^2*c^6*e + 
    6029312*a^7*b^2*c^5*d^2 + 138412032*a^7*b^2*c^3*d*e^2 + 857604096*a^7*b^2*c^2*d^3*e - 53084160*a^7*b^2*c*d^5 - 
    19715325952*a^7*b^2*c*e^4 - 20694302720*a^7*b^2*d^2*e^3 - 851968*a^7*b*c^7*d + 1321992192*a^7*b*c^5*e^2 - 
    1110245376*a^7*b*c^4*d^2*e + 196739072*a^7*b*c^3*d^4 + 1658322944*a^7*b*c^2*d*e^3 + 11536564224*a^7*b*c*d^3*e^2 - 
    2480799744*a^7*b*d^5*e - 30906777600*a^7*b*e^5 + 131072*a^7*c^9 - 50724864*a^7*c^6*d*e + 5439488*a^7*c^5*d^3 + 
    5657329664*a^7*c^4*e^3 - 3629383680*a^7*c^3*d^2*e^2 + 1369178112*a^7*c^2*d^4*e - 75792384*a^7*c*d^6 - 
    46603960320*a^7*c*d*e^4 + 2162425856*a^7*d^3*e^3 + 8257536*a^6*b^7*d*e^2 + 101449728*a^6*b^6*c^2*e^2 - 
    16515072*a^6*b^6*c*d^2*e + 807936*a^6*b^6*d^4 - 55345152*a^6*b^5*c^3*d*e + 9560064*a^6*b^5*c^2*d^3 - 
    1736835072*a^6*b^5*c*e^3 + 332955648*a^6*b^5*d^2*e^2 + 12025856*a^6*b^4*c^5*e - 3977216*a^6*b^4*c^4*d^2 - 
    800391168*a^6*b^4*c^2*d*e^2 + 41091072*a^6*b^4*c*d^3*e + 21233664*a^6*b^4*d^5 + 5843582976*a^6*b^4*e^4 + 
    1376256*a^6*b^3*c^6*d - 2731999232*a^6*b^3*c^4*e^2 + 1206255616*a^6*b^3*c^3*d^2*e - 275054592*a^6*b^3*c^2*d^4 + 
    17076191232*a^6*b^3*c*d*e^3 - 974258176*a^6*b^3*d^3*e^2 - 229376*a^6*b^2*c^8 + 764739584*a^6*b^2*c^5*d*e - 
    149094400*a^6*b^2*c^4*d^3 + 12149587968*a^6*b^2*c^3*e^3 - 19087491072*a^6*b^2*c^2*d^2*e^2 + 1994588160*a^6*b^2*c*d^4*e + 
    311980032*a^6*b^2*d^6 - 123769978880*a^6*b^2*d*e^4 - 142409728*a^6*b*c^7*e + 37945344*a^6*b*c^6*d^2 - 
    7203913728*a^6*b*c^4*d*e^2 + 5766250496*a^6*b*c^3*d^3*e - 1253277696*a^6*b*c^2*d^5 + 77922304000*a^6*b*c^2*e^4 + 
    8862171136*a^6*b*c*d^2*e^3 + 3704291328*a^6*b*d^4*e^2 - 1114112*a^6*c^8*d - 1854078976*a^6*c^6*e^2 + 
    1852768256*a^6*c^5*d^2*e - 280854528*a^6*c^4*d^4 - 2136997888*a^6*c^3*d*e^3 - 18923782144*a^6*c^2*d^3*e^2 + 
    4457562112*a^6*c*d^5*e + 42401792000*a^6*c*e^5 - 345882624*a^6*d^7 + 61382656000*a^6*d^2*e^4 - 19537920*a^5*b^8*c*e^2 + 
    1032192*a^5*b^8*d^2*e + 12902400*a^5*b^7*c^2*d*e - 1689600*a^5*b^7*c*d^3 + 207224832*a^5*b^7*e^3 - 2904064*a^5*b^6*c^4*e 
    + 1904640*a^5*b^6*c^3*d^2 + 449445888*a^5*b^6*c*d*e^2 - 41914368*a^5*b^6*d^3*e - 1044480*a^5*b^5*c^5*d + 
    2169274368*a^5*b^5*c^3*e^2 - 614965248*a^5*b^5*c^2*d^2*e + 84768768*a^5*b^5*c*d^4 - 4526997504*a^5*b^5*d*e^3 + 
    172032*a^5*b^4*c^7 - 914268160*a^5*b^4*c^4*d*e + 223272960*a^5*b^4*c^3*d^3 - 19328434176*a^5*b^4*c^2*e^3 + 
    9175252992*a^5*b^4*c*d^2*e^2 - 81031168*a^5*b^4*d^4*e + 188088320*a^5*b^3*c^6*e - 63684608*a^5*b^3*c^5*d^2 + 
    10125312000*a^5*b^3*c^3*d*e^2 - 4974510080*a^5*b^3*c^2*d^3*e + 303271936*a^5*b^3*c*d^5 + 39170211840*a^5*b^3*c*e^4 + 
    99399499776*a^5*b^3*d^2*e^3 + 5898240*a^5*b^2*c^7*d + 188940288*a^5*b^2*c^5*e^2 - 1140326400*a^5*b^2*c^4*d^2*e + 
    406364160*a^5*b^2*c^3*d^4 - 48243277824*a^5*b^2*c^2*d*e^3 - 43307237376*a^5*b^2*c*d^3*e^2 + 8255840256*a^5*b^2*d^5*e + 
    119316480000*a^5*b^2*e^5 - 589824*a^5*b*c^9 - 481886208*a^5*b*c^6*d*e + 50921472*a^5*b*c^5*d^3 - 
    48433135616*a^5*b*c^4*e^3 + 61745528832*a^5*b*c^3*d^2*e^2 - 13662322688*a^5*b*c^2*d^4*e + 759382016*a^5*b*c*d^6 + 
    293399756800*a^5*b*c*d*e^4 - 80303882240*a^5*b*d^3*e^3 + 188350464*a^5*c^8*e - 34340864*a^5*c^7*d^2 + 
    9438298112*a^5*c^5*d*e^2 - 10104995840*a^5*c^4*d^3*e + 1721565184*a^5*c^3*d^5 - 61843046400*a^5*c^3*e^4 + 
    18236047360*a^5*c^2*d^2*e^3 + 21699133440*a^5*c*d^4*e^2 - 4331634688*a^5*d^6*e - 131809280000*a^5*d*e^5 + 
    1465344*a^4*b^10*e^2 - 1179648*a^4*b^9*c*d*e + 112128*a^4*b^9*d^3 + 282624*a^4*b^8*c^3*e - 622080*a^4*b^8*c^2*d^2 - 
    69304320*a^4*b^8*d*e^2 + 391168*a^4*b^7*c^4*d - 838066176*a^4*b^7*c^2*e^2 + 126351360*a^4*b^7*c*d^2*e - 
    8451072*a^4*b^7*d^4 - 63488*a^4*b^6*c^6 + 448036864*a^4*b^6*c^3*d*e - 98310144*a^4*b^6*c^2*d^3 + 7380402176*a^4*b^6*c*e^3
    - 997226496*a^4*b^6*d^2*e^2 - 95891456*a^4*b^5*c^5*e + 32460800*a^4*b^5*c^4*d^2 - 2291589120*a^4*b^5*c^2*d*e^2 + 
    545603584*a^4*b^5*c*d^3*e - 73289728*a^4*b^5*d^5 - 14640906240*a^4*b^5*e^4 - 6156288*a^4*b^4*c^6*d + 
    3679703040*a^4*b^4*c^4*e^2 - 806707200*a^4*b^4*c^3*d^2*e + 408509440*a^4*b^4*c^2*d^4 - 48569057280*a^4*b^4*c*d*e^3 - 
    8690565120*a^4*b^4*d^3*e^2 + 917504*a^4*b^3*c^8 - 840400896*a^4*b^3*c^5*d*e + 133201920*a^4*b^3*c^4*d^3 + 
    26099712000*a^4*b^3*c^3*e^3 + 35124019200*a^4*b^3*c^2*d^2*e^2 + 2182696960*a^4*b^3*c*d^4*e - 1657782272*a^4*b^3*d^6 + 
    186359808000*a^4*b^3*d*e^4 + 89456640*a^4*b^2*c^7*e - 30105600*a^4*b^2*c^6*d^2 - 3392471040*a^4*b^2*c^4*d*e^2 - 
    8240005120*a^4*b^2*c^3*d^3*e + 3331747840*a^4*b^2*c^2*d^5 - 295985152000*a^4*b^2*c^2*e^4 - 133382144000*a^4*b^2*c*d^2*e^3
    + 8085688320*a^4*b^2*d^4*e^2 - 4390912*a^4*b*c^8*d + 9186443264*a^4*b*c^6*e^2 - 3457417216*a^4*b*c^5*d^2*e + 
    328744960*a^4*b*c^4*d^4 + 59634483200*a^4*b*c^3*d*e^3 + 84853063680*a^4*b*c^2*d^3*e^2 - 31286378496*a^4*b*c*d^5*e - 
    252108800000*a^4*b*c*e^5 + 3677028352*a^4*b*d^7 - 295608320000*a^4*b*d^2*e^4 + 1146880*a^4*c^10 - 828440576*a^4*c^7*d*e +
    139952128*a^4*c^6*d^3 + 32341032960*a^4*c^5*e^3 - 46339522560*a^4*c^4*d^2*e^2 + 23598530560*a^4*c^3*d^4*e - 
    2720301056*a^4*c^2*d^6 - 131686400000*a^4*c^2*d*e^4 - 14893056000*a^4*c*d^3*e^3 + 8861368320*a^4*d^5*e^2 + 
    39936000000*a^4*e^6 + 13824*a^3*b^11*d*e - 4608*a^3*b^10*c^2*e + 105984*a^3*b^10*c*d^2 - 69120*a^3*b^9*c^3*d + 
    157095936*a^3*b^9*c*e^2 - 7395840*a^3*b^9*d^2*e + 11264*a^3*b^8*c^5 - 99505152*a^3*b^8*c^2*d*e + 17917440*a^3*b^8*c*d^3 -
    853807104*a^3*b^8*e^3 + 21960704*a^3*b^7*c^4*e - 10547200*a^3*b^7*c^3*d^2 - 558532608*a^3*b^7*c*d*e^2 + 
    50196480*a^3*b^7*d^3*e + 4290560*a^3*b^6*c^5*d - 3908546560*a^3*b^6*c^3*e^2 + 997668864*a^3*b^6*c^2*d^2*e - 
    182624256*a^3*b^6*c*d^4 + 13226905600*a^3*b^6*d*e^3 - 700416*a^3*b^5*c^7 + 1566507008*a^3*b^5*c^4*d*e - 
    482080768*a^3*b^5*c^3*d^3 + 17272578048*a^3*b^5*c^2*e^3 - 12113743872*a^3*b^5*c*d^2*e^2 + 642940928*a^3*b^5*d^4*e - 
    306249728*a^3*b^4*c^6*e + 135950336*a^3*b^4*c^5*d^2 - 26951147520*a^3*b^4*c^3*d*e^2 + 6925824000*a^3*b^4*c^2*d^3*e - 
    616349696*a^3*b^4*c*d^5 + 26496000000*a^3*b^4*c*e^4 - 176892518400*a^3*b^4*d^2*e^3 - 925696*a^3*b^3*c^7*d - 
    13607878656*a^3*b^3*c^5*e^2 + 11382865920*a^3*b^3*c^4*d^2*e - 3265126400*a^3*b^3*c^3*d^4 + 198903398400*a^3*b^3*c^2*d*e^3
    + 75751956480*a^3*b^3*c*d^3*e^2 - 10725687296*a^3*b^3*d^5*e - 185548800000*a^3*b^3*e^5 - 1359872*a^3*b^2*c^9 + 
    3112648704*a^3*b^2*c^6*d*e - 370589696*a^3*b^2*c^5*d^3 + 75805491200*a^3*b^2*c^4*e^3 - 209448222720*a^3*b^2*c^3*d^2*e^2 +
    34041118720*a^3*b^2*c^2*d^4*e - 2856845312*a^3*b^2*c*d^6 - 512737280000*a^3*b^2*c*d*e^4 + 404338688000*a^3*b^2*d^3*e^3 - 
    762970112*a^3*b*c^8*e + 211812352*a^3*b*c^7*d^2 - 36905615360*a^3*b*c^5*d*e^2 + 39128924160*a^3*b*c^4*d^3*e - 
    8498511872*a^3*b*c^3*d^5 + 452362240000*a^3*b*c^3*e^4 + 40050688000*a^3*b*c^2*d^2*e^3 - 146603212800*a^3*b*c*d^4*e^2 + 
    22642032640*a^3*b*d^6*e + 763904000000*a^3*b*d*e^5 - 9109504*a^3*c^9*d - 6624837632*a^3*c^7*e^2 + 
    6246957056*a^3*c^6*d^2*e - 743997440*a^3*c^5*d^4 - 34521088000*a^3*c^4*d*e^3 - 51314688000*a^3*c^3*d^3*e^2 + 
    13458866176*a^3*c^2*d^5*e + 126156800000*a^3*c^2*e^5 - 2739535872*a^3*c*d^7 + 505958400000*a^3*c*d^2*e^4 - 
    45916160000*a^3*d^4*e^3 - 6912*a^2*b^12*d^2 + 4608*a^2*b^11*c^2*d - 11377152*a^2*b^11*e^2 - 768*a^2*b^10*c^4 + 
    8400384*a^2*b^10*c*d*e - 1214976*a^2*b^10*d^3 - 1949184*a^2*b^9*c^3*e + 2760192*a^2*b^9*c^2*d^2 + 156197376*a^2*b^9*d*e^2
    - 1623552*a^2*b^8*c^4*d + 1657978368*a^2*b^8*c^2*e^2 - 240536064*a^2*b^8*c*d^2*e + 20834304*a^2*b^8*d^4 + 
    264192*a^2*b^7*c^6 - 854728704*a^2*b^7*c^3*d*e + 241723392*a^2*b^7*c^2*d^3 - 9917761536*a^2*b^7*c*e^3 + 
    593037312*a^2*b^7*d^2*e^2 + 179054592*a^2*b^6*c^5*e - 56770560*a^2*b^6*c^4*d^2 + 11876222976*a^2*b^6*c^2*d*e^2 - 
    1390960640*a^2*b^6*c*d^3*e + 111329280*a^2*b^6*d^5 + 8888755200*a^2*b^6*e^4 - 4749312*a^2*b^5*c^6*d + 
    9221320704*a^2*b^5*c^4*e^2 - 5405644800*a^2*b^5*c^3*d^2*e + 1022681088*a^2*b^5*c^2*d^4 + 18977341440*a^2*b^5*c*d*e^3 + 
    23861649408*a^2*b^5*d^3*e^2 + 1263616*a^2*b^4*c^8 - 3595960320*a^2*b^4*c^5*d*e + 1102059520*a^2*b^4*c^4*d^3 - 
    114341683200*a^2*b^4*c^3*e^3 + 8208230400*a^2*b^4*c^2*d^2*e^2 - 18259230720*a^2*b^4*c*d^4*e + 3278241792*a^2*b^4*d^6 - 
    78827520000*a^2*b^4*d*e^4 + 858071040*a^2*b^3*c^7*e - 394588160*a^2*b^3*c^6*d^2 + 102650839040*a^2*b^3*c^4*d*e^2 - 
    13181624320*a^2*b^3*c^3*d^3*e + 841056256*a^2*b^3*c^2*d^5 + 239493120000*a^2*b^3*c^2*e^4 + 171021312000*a^2*b^3*c*d^2*e^3
    - 77910016000*a^2*b^3*d^4*e^2 + 31186944*a^2*b^2*c^8*d + 3650494464*a^2*b^2*c^6*e^2 - 25532399616*a^2*b^2*c^5*d^2*e + 
    6305157120*a^2*b^2*c^4*d^4 - 343511040000*a^2*b^2*c^3*d*e^3 - 22819430400*a^2*b^2*c^2*d^3*e^2 + 
    70809550848*a^2*b^2*c*d^5*e + 344678400000*a^2*b^2*c*e^5 - 10995499008*a^2*b^2*d^7 + 71846400000*a^2*b^2*d^2*e^4 - 
    1179648*a^2*b*c^10 + 1207664640*a^2*b*c^7*d*e - 773505024*a^2*b*c^6*d^3 - 144444620800*a^2*b*c^5*e^3 + 
    334560460800*a^2*b*c^4*d^2*e^2 - 125982474240*a^2*b*c^3*d^4*e + 19825164288*a^2*b*c^2*d^6 - 5222400000*a^2*b*c^2*d*e^4 - 
    339660800000*a^2*b*c*d^3*e^3 - 9869721600*a^2*b*d^5*e^2 - 199680000000*a^2*b*e^6 + 512557056*a^2*c^9*e - 
    69795840*a^2*c^8*d^2 + 31377162240*a^2*c^6*d*e^2 - 34595930112*a^2*c^5*d^3*e + 5446516736*a^2*c^4*d^5 - 
    210432000000*a^2*c^4*e^4 + 4751360000*a^2*c^3*d^2*e^3 + 219406336000*a^2*c^2*d^4*e^2 - 46410629120*a^2*c*d^6*e - 
    1104896000000*a^2*c*d*e^5 + 4234674176*a^2*d^8 - 238643200000*a^2*d^3*e^4 - 55296*a*b^12*d*e + 18432*a*b^11*c^2*e - 
    437760*a*b^11*c*d^2 + 285696*a*b^10*c^3*d - 315417600*a*b^10*c*e^2 + 13003776*a*b^10*d^2*e - 46592*a*b^9*c^5 + 
    189758976*a*b^9*c^2*d*e - 45701120*a*b^9*c*d^3 + 1182233088*a*b^9*e^3 - 40805376*a*b^8*c^4*e + 7620096*a*b^8*c^3*d^2 - 
    1109319168*a*b^8*c*d*e^2 + 69808128*a*b^8*d^3*e + 2469888*a*b^7*c^5*d - 2706432000*a*b^7*c^3*e^2 + 
    652824576*a*b^7*c^2*d^2*e - 111394816*a*b^7*c*d^4 - 10388951040*a*b^7*d*e^3 - 430080*a*b^6*c^7 + 1400905728*a*b^6*c^4*d*e
    - 365387776*a*b^6*c^3*d^3 + 30501324800*a*b^6*c^2*e^3 - 2818547712*a*b^6*c*d^2*e^2 - 107905024*a*b^6*d^4*e - 
    311691264*a*b^5*c^6*e + 102346752*a*b^5*c^5*d^2 - 25867536384*a*b^5*c^3*d*e^2 + 7220232192*a*b^5*c^2*d^3*e - 
    844038144*a*b^5*c*d^5 - 83837184000*a*b^5*c*e^4 + 122781696000*a*b^5*d^2*e^3 - 894976*a*b^4*c^7*d - 
    4180774912*a*b^4*c^5*e^2 + 5376942080*a*b^4*c^4*d^2*e - 1369620480*a*b^4*c^3*d^4 - 95875584000*a*b^4*c^2*d*e^3 - 
    55571660800*a*b^4*c*d^3*e^2 + 6517293056*a*b^4*d^5*e + 109324800000*a*b^4*e^5 - 548864*a*b^3*c^9 + 
    1898160128*a*b^3*c^6*d*e - 452243456*a*b^3*c^5*d^3 + 143050752000*a*b^3*c^4*e^3 + 24537292800*a*b^3*c^3*d^2*e^2 - 
    3269263360*a*b^3*c^2*d^4*e + 585760768*a*b^3*c*d^6 + 475968000000*a*b^3*c*d*e^4 - 444456960000*a*b^3*d^3*e^3 - 
    601227264*a*b^2*c^8*e + 241410048*a*b^2*c^7*d^2 - 114514083840*a*b^2*c^5*d*e^2 + 33842995200*a*b^2*c^4*d^3*e - 
    6225002496*a*b^2*c^3*d^5 - 531225600000*a*b^2*c^3*e^4 + 176916480000*a*b^2*c^2*d^2*e^3 + 250036224000*a*b^2*c*d^4*e^2 - 
    22582394880*a*b^2*d^6*e - 868224000000*a*b^2*d*e^5 - 24182784*a*b*c^9*d + 9154560000*a*b*c^7*e^2 + 
    12779225088*a*b*c^6*d^2*e - 2177318912*a*b*c^5*d^4 + 335134720000*a*b*c^4*d*e^3 - 249946112000*a*b*c^3*d^3*e^2 - 
    20942028800*a*b*c^2*d^5*e + 79360000000*a*b*c^2*e^5 + 4937220096*a*b*c*d^7 - 158259200000*a*b*c*d^2*e^4 + 
    410828800000*a*b*d^4*e^3 + 1769472*a*c^11 - 2973302784*a*c^8*d*e + 603815936*a*c^7*d^3 + 68304896000*a*c^6*e^3 - 
    176590848000*a*c^5*d^2*e^2 + 112131276800*a*c^4*d^4*e - 16618487808*a*c^3*d^6 + 451993600000*a*c^3*d*e^4 - 
    256819200000*a*c^2*d^3*e^3 - 77119488000*a*c*d^5*e^2 + 345600000000*a*c*e^6 + 11927552000*a*d^7*e + 
    1036800000000*a*d^2*e^5 + 27648*b^13*d^2 - 18432*b^12*c^2*d + 22083840*b^12*e^2 + 3072*b^11*c^4 - 14630400*b^11*c*d*e + 
    3096576*b^11*d^3 + 3240960*b^10*c^3*e - 293376*b^10*c^2*d^2 - 44517888*b^10*d*e^2 - 291328*b^9*c^4*d + 
    277687296*b^9*c^2*e^2 + 8005632*b^9*c*d^2*e + 1556480*b^9*d^4 + 45312*b^8*c^6 - 170688000*b^8*c^3*d*e + 
    34674688*b^8*c^2*d^3 - 1970388480*b^8*c*e^3 + 1052878848*b^8*d^2*e^2 + 36360192*b^7*c^5*e - 6288384*b^7*c^4*d^2 + 
    1207707648*b^7*c^2*d*e^2 - 818266112*b^7*c*d^3*e + 54525952*b^7*d^5 + 5808000000*b^7*e^4 - 1308672*b^6*c^6*d + 
    926395392*b^6*c^4*e^2 - 85549056*b^6*c^3*d^2*e + 138330112*b^6*c^2*d^4 + 9570918400*b^6*c*d*e^3 - 18343608320*b^6*d^3*e^2
    + 198656*b^5*c^8 - 567674880*b^5*c^5*d*e + 67153920*b^5*c^4*d^3 - 19072051200*b^5*c^3*e^3 + 15906938880*b^5*c^2*d^2*e^2 +
    12408913920*b^5*c*d^4*e - 2052849664*b^5*d^6 - 59312640000*b^5*d*e^4 + 128276480*b^4*c^7*e - 19276800*b^4*c^6*d^2 + 
    10243840000*b^4*c^4*d*e^2 - 18576261120*b^4*c^3*d^3*e + 2740912128*b^4*c^2*d^5 + 89635200000*b^4*c^2*e^4 - 
    125552640000*b^4*c*d^2*e^3 + 85147648000*b^4*d^4*e^2 - 1945600*b^3*c^8*d + 23121920*b^3*c^6*e^2 + 
    4272345088*b^3*c^5*d^2*e - 165396480*b^3*c^4*d^4 + 69227520000*b^3*c^3*d*e^3 - 4444160000*b^3*c^2*d^3*e^2 - 
    67627253760*b^3*c*d^5*e - 182208000000*b^3*c*e^5 + 9810477056*b^3*d^7 + 341452800000*b^3*d^2*e^4 + 221184*b^2*c^10 - 
    1267924992*b^2*c^7*d*e - 38219776*b^2*c^6*d^3 - 56913920000*b^2*c^5*e^3 - 25308672000*b^2*c^4*d^2*e^2 + 
    77945241600*b^2*c^3*d^4*e - 12108038144*b^2*c^2*d^6 - 472435200000*b^2*c^2*d*e^4 + 285491200000*b^2*c*d^3*e^3 - 
    112803840000*b^2*d^5*e^2 + 120000000000*b^2*e^6 + 205258752*b*c^9*e + 12091392*b*c^8*d^2 + 46919270400*b*c^6*d*e^2 - 
    49477304320*b*c^5*d^3*e + 8206352384*b*c^4*d^5 + 300083200000*b*c^4*e^4 - 78643200000*b*c^3*d^2*e^3 - 
    163102720000*b*c^2*d^4*e^2 + 112839884800*b*c*d^6*e + 1207040000000*b*c*d*e^5 - 13568573440*b*d^8 - 
    699392000000*b*d^3*e^4 - 4423680*c^10*d - 5817139200*c^8*e^2 + 6625198080*c^7*d^2*e - 1205534720*c^6*d^4 - 
    170762240000*c^5*d*e^3 + 232540160000*c^4*d^3*e^2 - 102573670400*c^3*d^5*e - 312320000000*c^3*e^5 + 13261864960*c^2*d^7 -
    174592000000*c^2*d^2*e^4 + 247808000000*c*d^4*e^3 - 29818880000*d^6*e^2 - 864000000000*d*e^6
;
M[5][4,3] :=
                                -M[5][3,4];
M[1][3,5] :=
536870912*a^14*c*e^5 - 67108864*a^14*d^2*e^4 - 201326592*a^13*b^2*e^5 - 603979776*a^13*b*c*d*e^4 + 67108864*a^13*b*d^3*e^3 - 
    536870912*a^13*c^3*e^4 + 419430400*a^13*c^2*d^2*e^3 - 94371840*a^13*c*d^4*e^2 + 7077888*a^13*d^6*e - 
    3355443200*a^13*d*e^5 + 234881024*a^12*b^3*d*e^4 + 754974720*a^12*b^2*c^2*e^4 - 62914560*a^12*b^2*c*d^2*e^3 + 
    10223616*a^12*b^2*d^4*e^2 + 117440512*a^12*b*c^3*d*e^3 - 125829120*a^12*b*c^2*d^3*e^2 + 25952256*a^12*b*c*d^5*e - 
    10938744832*a^12*b*c*e^5 - 1769472*a^12*b*d^7 + 5519704064*a^12*b*d^2*e^4 + 201326592*a^12*c^5*e^3 - 
    205520896*a^12*c^4*d^2*e^2 + 76546048*a^12*c^3*d^4*e - 8847360*a^12*c^2*d^6 + 1912602624*a^12*c^2*d*e^4 - 
    3539992576*a^12*c*d^3*e^3 + 448266240*a^12*d^5*e^2 - 7851737088*a^12*e^6 - 312475648*a^11*b^4*c*e^4 - 
    46923776*a^11*b^4*d^2*e^3 - 318767104*a^11*b^3*c^2*d*e^3 + 71827456*a^11*b^3*c*d^3*e^2 - 8192000*a^11*b^3*d^5*e + 
    4177526784*a^11*b^3*e^5 - 406847488*a^11*b^2*c^4*e^3 + 358612992*a^11*b^2*c^3*d^2*e^2 - 87097344*a^11*b^2*c^2*d^4*e + 
    6488064*a^11*b^2*c*d^6 + 9613344768*a^11*b^2*c*d*e^4 - 2056257536*a^11*b^2*d^3*e^3 + 54525952*a^11*b*c^5*d*e^2 - 
    50331648*a^11*b*c^4*d^3*e + 7405568*a^11*b*c^3*d^5 + 7029653504*a^11*b*c^3*e^4 - 5356126208*a^11*b*c^2*d^2*e^3 + 
    3454795776*a^11*b*c*d^4*e^2 - 349765632*a^11*b*d^6*e + 71437385728*a^11*b*d*e^5 - 33554432*a^11*c^7*e^2 + 
    28311552*a^11*c^6*d^2*e - 4849664*a^11*c^5*d^4 - 2256535552*a^11*c^4*d*e^3 + 211812352*a^11*c^3*d^3*e^2 - 
    367656960*a^11*c^2*d^5*e + 5519704064*a^11*c^2*e^5 + 74317824*a^11*c*d^7 + 16504586240*a^11*c*d^2*e^4 + 
    1509163008*a^11*d^4*e^3 + 39059456*a^10*b^6*e^4 + 167510016*a^10*b^5*c*d*e^3 - 3735552*a^10*b^5*d^3*e^2 + 
    344981504*a^10*b^4*c^3*e^3 - 168886272*a^10*b^4*c^2*d^2*e^2 + 28803072*a^10*b^4*c*d^4*e - 704512*a^10*b^4*d^6 - 
    4333240320*a^10*b^4*d*e^4 - 85983232*a^10*b^3*c^4*d*e^2 + 48627712*a^10*b^3*c^3*d^3*e - 4784128*a^10*b^3*c^2*d^5 - 
    10775166976*a^10*b^3*c^2*e^4 + 561512448*a^10*b^3*c*d^2*e^3 - 421593088*a^10*b^3*d^4*e^2 + 74448896*a^10*b^2*c^6*e^2 - 
    39583744*a^10*b^2*c^5*d^2*e + 6127616*a^10*b^2*c^4*d^4 + 3026190336*a^10*b^2*c^3*d*e^3 - 365690880*a^10*b^2*c^2*d^3*e^2 -
    340525056*a^10*b^2*c*d^5*e + 81734402048*a^10*b^2*c*e^5 + 29786112*a^10*b^2*d^7 - 96598491136*a^10*b^2*d^2*e^4 - 
    11534336*a^10*b*c^7*d*e + 2621440*a^10*b*c^6*d^3 - 1723858944*a^10*b*c^5*e^3 + 3161456640*a^10*b*c^4*d^2*e^2 - 
    65994752*a^10*b*c^3*d^4*e - 41680896*a^10*b*c^2*d^6 - 41674604544*a^10*b*c^2*d*e^4 + 37301518336*a^10*b*c*d^3*e^3 - 
    8348958720*a^10*b*d^5*e^2 + 118531031040*a^10*b*e^6 + 2097152*a^10*c^9*e - 524288*a^10*c^8*d^2 + 970981376*a^10*c^6*d*e^2
    - 1140850688*a^10*c^5*d^3*e + 208994304*a^10*c^4*d^5 + 3888119808*a^10*c^4*e^4 + 406847488*a^10*c^3*d^2*e^3 + 
    10466820096*a^10*c^2*d^4*e^2 - 2389180416*a^10*c*d^6*e - 140525961216*a^10*c*d*e^5 + 93782016*a^10*d^8 - 
    29023535104*a^10*d^3*e^4 - 23527424*a^9*b^7*d*e^3 - 143327232*a^9*b^6*c^2*e^3 + 22216704*a^9*b^6*c*d^2*e^2 - 
    3289088*a^9*b^6*d^4*e + 33619968*a^9*b^5*c^3*d*e^2 - 16515072*a^9*b^5*c^2*d^3*e + 417792*a^9*b^5*c*d^5 + 
    4595646464*a^9*b^5*c*e^4 + 1009844224*a^9*b^5*d^2*e^3 - 73007104*a^9*b^4*c^5*e^2 + 29622272*a^9*b^4*c^4*d^2*e - 
    4644864*a^9*b^4*c^3*d^4 + 1587937280*a^9*b^4*c^2*d*e^3 - 25296896*a^9*b^4*c*d^3*e^2 + 155877376*a^9*b^4*d^5*e - 
    33106427904*a^9*b^4*e^5 + 20971520*a^9*b^3*c^6*d*e - 4718592*a^9*b^3*c^5*d^3 + 3161456640*a^9*b^3*c^4*e^3 - 
    5311430656*a^9*b^3*c^3*d^2*e^2 + 696778752*a^9*b^3*c^2*d^4*e - 6029312*a^9*b^3*c*d^6 - 44250431488*a^9*b^3*c*d*e^4 + 
    33668071424*a^9*b^3*d^3*e^3 - 4194304*a^9*b^2*c^8*e + 1048576*a^9*b^2*c^7*d^2 - 2942304256*a^9*b^2*c^5*d*e^2 + 
    1857421312*a^9*b^2*c^4*d^3*e - 325582848*a^9*b^2*c^3*d^5 - 37786484736*a^9*b^2*c^3*e^4 + 33205387264*a^9*b^2*c^2*d^2*e^3 
    - 38480314368*a^9*b^2*c*d^4*e^2 + 5570592768*a^9*b^2*d^6*e - 560825630720*a^9*b^2*d*e^5 + 227540992*a^9*b*c^7*e^2 + 
    433324032*a^9*b*c^6*d^2*e - 92667904*a^9*b*c^5*d^4 + 23955767296*a^9*b*c^4*d*e^3 - 15625224192*a^9*b*c^3*d^3*e^2 + 
    5402198016*a^9*b*c^2*d^5*e - 97614036992*a^9*b*c^2*e^5 - 784662528*a^9*b*c*d^7 - 20913324032*a^9*b*c*d^2*e^4 + 
    4665573376*a^9*b*d^4*e^3 - 116391936*a^9*c^8*d*e + 25296896*a^9*c^7*d^3 - 3771727872*a^9*c^6*e^3 - 
    2245263360*a^9*c^5*d^2*e^2 + 4464050176*a^9*c^4*d^4*e - 839385088*a^9*c^3*d^6 + 55144611840*a^9*c^3*d*e^4 - 
    89144426496*a^9*c^2*d^3*e^3 + 2171207680*a^9*c*d^5*e^2 - 148027473920*a^9*c*e^6 + 2581200896*a^9*d^7*e + 
    163084238848*a^9*d^2*e^5 + 28344320*a^8*b^8*c*e^3 + 122880*a^8*b^8*d^2*e^2 + 1376256*a^8*b^7*c^2*d*e^2 + 
    2891776*a^8*b^7*c*d^3*e + 72704*a^8*b^7*d^5 - 569049088*a^8*b^7*e^4 + 42827776*a^8*b^6*c^4*e^2 - 
    13484032*a^8*b^6*c^3*d^2*e + 2255872*a^8*b^6*c^2*d^4 - 1648492544*a^8*b^6*c*d*e^3 - 126812160*a^8*b^6*d^3*e^2 - 
    17498112*a^8*b^5*c^5*d*e + 3915776*a^8*b^5*c^4*d^3 - 2721251328*a^8*b^5*c^3*e^3 + 2616852480*a^8*b^5*c^2*d^2*e^2 - 
    338780160*a^8*b^5*c*d^4*e - 6737920*a^8*b^5*d^6 + 29255860224*a^8*b^5*d*e^4 + 3670016*a^8*b^4*c^7*e - 
    917504*a^8*b^4*c^6*d^2 + 3506110464*a^8*b^4*c^4*d*e^2 - 1238007808*a^8*b^4*c^3*d^3*e + 169877504*a^8*b^4*c^2*d^5 + 
    60595044352*a^8*b^4*c^2*e^4 - 11263606784*a^8*b^4*c*d^2*e^3 + 2375155712*a^8*b^4*d^4*e^2 - 505151488*a^8*b^3*c^6*e^2 - 
    801636352*a^8*b^3*c^5*d^2*e + 184254464*a^8*b^3*c^4*d^4 - 43545133056*a^8*b^3*c^3*d*e^3 + 27504934912*a^8*b^3*c^2*d^3*e^2
    + 594608128*a^8*b^3*c*d^5*e - 256795738112*a^8*b^3*c*e^5 - 403832832*a^8*b^3*d^7 + 673334034432*a^8*b^3*d^2*e^4 + 
    291373056*a^8*b^2*c^7*d*e - 72843264*a^8*b^2*c^6*d^3 + 11704991744*a^8*b^2*c^5*e^3 - 7877754880*a^8*b^2*c^4*d^2*e^2 - 
    11856707584*a^8*b^2*c^3*d^4*e + 2222161920*a^8*b^2*c^2*d^6 + 250760921088*a^8*b^2*c^2*d*e^4 - 
    169217622016*a^8*b^2*c*d^3*e^3 + 53846900736*a^8*b^2*d^5*e^2 - 683059445760*a^8*b^2*e^6 - 16252928*a^8*b*c^9*e + 
    7864320*a^8*b*c^8*d^2 - 9912188928*a^8*b*c^6*d*e^2 + 9726197760*a^8*b*c^5*d^3*e - 1796014080*a^8*b*c^4*d^5 - 
    58570309632*a^8*b*c^4*e^4 + 19472187392*a^8*b*c^3*d^2*e^3 - 70916571136*a^8*b*c^2*d^4*e^2 + 20443889664*a^8*b*c*d^6*e + 
    2060386566144*a^8*b*c*d*e^5 - 1571618816*a^8*b*d^8 + 163580411904*a^8*b*d^3*e^4 - 524288*a^8*c^10*d + 
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    13528203264*a*b^2*c^9*e^2 + 3079667712*a*b^2*c^8*d^2*e + 2589589504*a*b^2*c^7*d^4 - 2586424934400*a*b^2*c^6*d*e^3 + 
    418951233536*a*b^2*c^5*d^3*e^2 - 338743672832*a*b^2*c^4*d^5*e - 6232576000000*a*b^2*c^4*e^5 + 26786660352*a*b^2*c^3*d^7 -
    9422684160000*a*b^2*c^3*d^2*e^4 + 23143397376000*a*b^2*c^2*d^4*e^3 - 1919405260800*a*b^2*c*d^6*e^2 - 
    9308160000000*a*b^2*c*d*e^6 + 33435942912*a*b^2*d^8*e - 23065702400000*a*b^2*d^3*e^5 + 662962176*a*b*c^10*d*e - 
    784662528*a*b*c^9*d^3 + 128248381440*a*b*c^8*e^3 + 505109741568*a*b*c^7*d^2*e^2 - 14958460928*a*b*c^6*d^4*e - 
    8231780352*a*b*c^5*d^6 + 6851387392000*a*b*c^5*d*e^4 - 4502405120000*a*b*c^4*d^3*e^3 - 4359393771520*a*b*c^3*d^5*e^2 + 
    6657024000000*a*b*c^3*e^6 + 782091943936*a*b*c^2*d^7*e - 25775923200000*a*b*c^2*d^2*e^5 - 9688842240*a*b*c*d^9 + 
    23871283200000*a*b*c*d^4*e^4 + 5148934144000*a*b*d^6*e^3 - 5068800000000*a*b*d*e^7 - 106168320*a*c^12*e + 
    74317824*a*c^11*d^2 - 97064976384*a*c^9*d*e^2 + 13465092096*a*c^8*d^3*e + 758513664*a*c^7*d^5 + 497172480000*a*c^7*e^4 - 
    3435166105600*a*c^6*d^2*e^3 + 3017141125120*a*c^5*d^4*e^2 - 456954871808*a*c^4*d^6*e - 2697830400000*a*c^4*d*e^5 - 
    5888802816*a*c^3*d^8 + 16634675200000*a*c^3*d^3*e^4 - 11179008000000*a*c^2*d^5*e^3 - 4224000000000*a*c^2*e^7 - 
    743191347200*a*c*d^7*e^2 + 19415040000000*a*c*d^2*e^6 + 444743024640*a*d^9*e + 28797952000000*a*d^4*e^5 + 311040*b^16*e^2
    - 241920*b^15*c*d*e + 92160*b^15*d^3 + 57600*b^14*c^3*e - 38400*b^14*c^2*d^2 + 71712000*b^14*d*e^2 + 3840*b^13*c^4*d - 
    11759040*b^13*c^2*e^2 - 48030720*b^13*c*d^2*e + 11018240*b^13*d^4 + 18152000*b^12*c^3*d*e - 4075520*b^12*c^2*d^3 + 
    636683328*b^12*c*e^3 + 1081039872*b^12*d^2*e^2 - 1618240*b^11*c^5*e + 146560*b^11*c^4*d^2 - 328351488*b^11*c^2*d*e^2 - 
    681086976*b^11*c*d^3*e + 169639936*b^11*d^5 - 2123945856*b^11*e^4 + 46400*b^10*c^6*d + 56124736*b^10*c^4*e^2 + 
    134071808*b^10*c^3*d^2*e - 29401088*b^10*c^2*d^4 + 5172807168*b^10*c*d*e^3 - 1221406720*b^10*d^3*e^2 + 
    15712000*b^9*c^5*d*e - 8655360*b^9*c^4*d^3 + 5850204672*b^9*c^3*e^3 + 8123252736*b^9*c^2*d^2*e^2 + 908443648*b^9*c*d^4*e 
    - 128319488*b^9*d^6 + 79874076160*b^9*d*e^4 - 2603008*b^8*c^7*e + 1100288*b^8*c^6*d^2 - 6405768960*b^8*c^4*d*e^2 - 
    6542119936*b^8*c^3*d^3*e + 1671561216*b^8*c^2*d^5 - 57591706880*b^8*c^2*e^4 - 149271344128*b^8*c*d^2*e^3 - 
    41985392640*b^8*d^4*e^2 + 72704*b^7*c^8*d + 1191761920*b^7*c^6*e^2 + 3680553984*b^7*c^5*d^2*e - 878325760*b^7*c^4*d^4 + 
    157188343808*b^7*c^3*d*e^3 + 166401613824*b^7*c^2*d^3*e^2 + 20755841024*b^7*c*d^5*e + 45885056000*b^7*c*e^5 - 
    8208777216*b^7*d^7 - 217619148800*b^7*d^2*e^4 - 807357440*b^6*c^7*d*e + 156786688*b^6*c^6*d^3 + 1042596864*b^6*c^5*e^3 - 
    129482000384*b^6*c^4*d^2*e^2 - 66076065792*b^6*c^3*d^4*e + 19528024064*b^6*c^2*d^6 + 312278988800*b^6*c^2*d*e^4 - 
    713664348160*b^6*c*d^3*e^3 + 48119087104*b^6*d^5*e^2 + 11059200000*b^6*e^6 + 65748992*b^5*c^9*e - 6737920*b^5*c^8*d^2 + 
    19960365056*b^5*c^6*d*e^2 + 46374023168*b^5*c^5*d^3*e - 11285774336*b^5*c^4*d^5 - 231359078400*b^5*c^4*e^4 + 
    434826240000*b^5*c^3*d^2*e^3 + 763939405824*b^5*c^2*d^4*e^2 - 168628584448*b^5*c*d^6*e - 1523719680000*b^5*c*d*e^5 + 
    13797163008*b^5*d^8 - 1581279232000*b^5*d^3*e^4 - 704512*b^4*c^10*d + 402325504*b^4*c^8*e^2 - 13264846848*b^4*c^7*d^2*e +
    3004407808*b^4*c^6*d^4 + 217414594560*b^4*c^5*d*e^3 - 736805724160*b^4*c^4*d^3*e^2 + 6631964672*b^4*c^3*d^5*e + 
    325056000000*b^4*c^3*e^5 + 16899899392*b^4*c^2*d^7 + 121251840000*b^4*c^2*d^2*e^4 + 3671889920000*b^4*c*d^4*e^3 + 
    155242987520*b^4*d^6*e^2 + 1596416000000*b^4*d*e^6 + 1548353536*b^3*c^9*d*e - 403832832*b^3*c^8*d^3 - 
    3508961280*b^3*c^7*e^3 + 127459049472*b^3*c^6*d^2*e^2 + 117923217408*b^3*c^5*d^4*e - 22055845888*b^3*c^4*d^6 + 
    1146931200000*b^3*c^4*d*e^4 - 2456817664000*b^3*c^3*d^3*e^3 - 2237611048960*b^3*c^2*d^5*e^2 + 1588992000000*b^3*c^2*e^6 +
    209535893504*b^3*c*d^7*e - 10258892800000*b^3*c*d^2*e^5 + 29016195072*b^3*d^9 + 12163584000000*b^3*d^4*e^4 - 
    54853632*b^2*c^11*e + 29786112*b^2*c^10*d^2 - 12246024192*b^2*c^8*d*e^2 - 55172513792*b^2*c^7*d^3*e + 
    9180856320*b^2*c^6*d^5 - 591233024000*b^2*c^6*e^4 + 233278259200*b^2*c^5*d^2*e^3 + 2376147353600*b^2*c^4*d^4*e^2 - 
    261509218304*b^2*c^3*d^6*e - 5642547200000*b^2*c^3*d*e^5 - 27940356096*b^2*c^2*d^8 + 13155225600000*b^2*c^2*d^3*e^4 - 
    12585156608000*b^2*c*d^5*e^3 - 3430400000000*b^2*c*e^7 + 1030514278400*b^2*d^7*e^2 + 9809920000000*b^2*d^2*e^6 - 
    1769472*b*c^12*d + 2194145280*b*c^10*e^2 + 9366405120*b*c^9*d^2*e - 1571618816*b*c^8*d^4 + 552651980800*b*c^7*d*e^3 - 
    1176483266560*b*c^6*d^3*e^2 + 171023138816*b*c^5*d^5*e + 2147532800000*b*c^5*e^5 + 8962572288*b*c^4*d^7 - 
    2387558400000*b*c^4*d^2*e^4 - 2580807680000*b*c^3*d^4*e^3 + 4145846681600*b*c^2*d^6*e^2 + 2836480000000*b*c^2*d*e^6 - 
    658316984320*b*c*d^8*e + 18586624000000*b*c*d^3*e^5 + 1040187392*b*d^10 - 14824652800000*b*d^5*e^4 + 1280000000000*b*e^8 
    - 614006784*c^11*d*e + 93782016*c^10*d^3 - 55871078400*c^9*e^3 + 146084659200*c^8*d^2*e^2 - 26519535616*c^7*d^4*e - 
    655622144*c^6*d^6 - 1489838080000*c^6*d*e^4 + 3566297088000*c^5*d^3*e^3 - 2250452172800*c^4*d^5*e^2 - 
    1520640000000*c^4*e^6 + 350676582400*c^3*d^7*e + 2688000000000*c^3*d^2*e^5 - 2214592512*c^2*d^9 - 
    12711321600000*c^2*d^4*e^4 + 9283338240000*c*d^6*e^3 + 4352000000000*c*d*e^7 - 1385693184000*d^8*e^2 - 
    25395200000000*d^3*e^6
;
M[1][5,3] :=
                                -M[1][3,5];
M[2][3,5] :=
-12884901888*a^13*c*e^5 + 603979776*a^13*d^2*e^4 + 4227858432*a^12*b^2*e^5 + 16508780544*a^12*b*c*d*e^4 - 
    629145600*a^12*b*d^3*e^3 - 2952790016*a^12*c^3*e^4 - 7751073792*a^12*c^2*d^2*e^3 + 1547698176*a^12*c*d^4*e^2 - 
    42467328*a^12*d^6*e + 20535312384*a^12*d*e^5 - 5511315456*a^11*b^3*d*e^4 - 1509949440*a^11*b^2*c^2*e^4 - 
    3057647616*a^11*b^2*c*d^2*e^3 - 250085376*a^11*b^2*d^4*e^2 + 10871635968*a^11*b*c^3*d*e^3 + 3001024512*a^11*b*c^2*d^3*e^2
    - 660602880*a^11*b*c*d^5*e + 173543522304*a^11*b*c*e^5 + 5308416*a^11*b*d^7 - 34904997888*a^11*b*d^2*e^4 + 
    671088640*a^11*c^5*e^3 - 5184159744*a^11*c^4*d^2*e^2 + 1075838976*a^11*c^3*d^4*e - 24772608*a^11*c^2*d^6 + 
    41674604544*a^11*c^2*d*e^4 + 14898167808*a^11*c*d^3*e^3 - 1972371456*a^11*d^5*e^2 + 3019898880*a^11*e^6 + 
    1409286144*a^10*b^4*c*e^4 + 1967652864*a^10*b^4*d^2*e^3 - 5744099328*a^10*b^3*c^2*d*e^3 - 336592896*a^10*b^3*c*d^3*e^2 + 
    178716672*a^10*b^3*d^5*e - 54735667200*a^10*b^3*e^5 - 4244635648*a^10*b^2*c^4*e^3 + 808452096*a^10*b^2*c^3*d^2*e^2 - 
    1159593984*a^10*b^2*c^2*d^4*e + 110886912*a^10*b^2*c*d^6 - 230040797184*a^10*b^2*c*d*e^4 + 16433283072*a^10*b^2*d^3*e^3 +
    4412407808*a^10*b*c^5*d*e^2 + 773324800*a^10*b*c^4*d^3*e - 255590400*a^10*b*c^3*d^5 + 47647293440*a^10*b*c^3*e^4 + 
    31828475904*a^10*b*c^2*d^2*e^3 - 26612858880*a^10*b*c*d^4*e^2 + 1462173696*a^10*b*d^6*e - 267940528128*a^10*b*d*e^5 + 
    1006632960*a^10*c^7*e^2 - 1612709888*a^10*c^6*d^2*e + 311689216*a^10*c^5*d^4 - 11106516992*a^10*c^4*d*e^3 + 
    34103885824*a^10*c^3*d^3*e^2 - 6348865536*a^10*c^2*d^5*e - 367924346880*a^10*c^2*e^5 + 60162048*a^10*c*d^7 - 
    52672069632*a^10*c*d^2*e^4 - 14427881472*a^10*d^4*e^3 - 193462272*a^9*b^6*e^4 + 761266176*a^9*b^5*c*d*e^3 - 
    276627456*a^9*b^5*d^3*e^2 + 3937402880*a^9*b^4*c^3*e^3 + 701890560*a^9*b^4*c^2*d^2*e^2 + 353402880*a^9*b^4*c*d^4*e - 
    32194560*a^9*b^4*d^6 + 70171754496*a^9*b^4*d*e^4 - 4097310720*a^9*b^3*c^4*d*e^2 - 136314880*a^9*b^3*c^3*d^3*e + 
    173015040*a^9*b^3*c^2*d^5 + 2183135232*a^9*b^3*c^2*e^4 + 72096940032*a^9*b^3*c*d^2*e^3 + 2486108160*a^9*b^3*d^4*e^2 - 
    3445620736*a^9*b^2*c^6*e^2 + 1460928512*a^9*b^2*c^5*d^2*e - 270991360*a^9*b^2*c^4*d^4 - 102087262208*a^9*b^2*c^3*d*e^3 - 
    37078695936*a^9*b^2*c^2*d^3*e^2 + 12408717312*a^9*b^2*c*d^5*e - 702164238336*a^9*b^2*c*e^5 - 140083200*a^9*b^2*d^7 + 
    383215730688*a^9*b^2*d^2*e^4 + 1149239296*a^9*b*c^7*d*e - 228458496*a^9*b*c^6*d^3 - 12532580352*a^9*b*c^5*e^3 + 
    39487799296*a^9*b*c^4*d^2*e^2 - 21813264384*a^9*b*c^3*d^4*e + 2555707392*a^9*b*c^2*d^6 - 153064833024*a^9*b*c^2*d*e^4 - 
    69860327424*a^9*b*c*d^3*e^3 + 33837613056*a^9*b*d^5*e^2 + 17993564160*a^9*b*e^6 - 192937984*a^9*c^9*e + 
    40632320*a^9*c^8*d^2 - 11395923968*a^9*c^6*d*e^2 + 13084131328*a^9*c^5*d^3*e - 2342912000*a^9*c^4*d^5 + 
    70413975552*a^9*c^4*e^4 - 216056987648*a^9*c^3*d^2*e^3 - 6046482432*a^9*c^2*d^4*e^2 + 2795765760*a^9*c*d^6*e + 
    979420315648*a^9*c*d*e^5 + 983826432*a^9*d^8 + 18566086656*a^9*d^3*e^4 - 21823488*a^8*b^7*d*e^3 - 
    1525284864*a^8*b^6*c^2*e^3 - 135954432*a^8*b^6*c*d^2*e^2 - 16515072*a^8*b^6*d^4*e + 1400635392*a^8*b^5*c^3*d*e^2 - 
    143917056*a^8*b^5*c^2*d^3*e - 46891008*a^8*b^5*c*d^5 - 9015656448*a^8*b^5*c*e^4 - 28076605440*a^8*b^5*d^2*e^3 + 
    3975675904*a^8*b^4*c^5*e^2 - 524943360*a^8*b^4*c^4*d^2*e + 50995200*a^8*b^4*c^3*d^4 + 54498951168*a^8*b^4*c^2*d*e^3 - 
    3591634944*a^8*b^4*c*d^3*e^2 - 2615918592*a^8*b^4*d^5*e + 240948609024*a^8*b^4*e^5 - 1785331712*a^8*b^3*c^6*d*e + 
    375586816*a^8*b^3*c^5*d^3 + 59087781888*a^8*b^3*c^4*e^3 - 4226809856*a^8*b^3*c^3*d^2*e^2 + 19190513664*a^8*b^3*c^2*d^4*e 
    - 2916483072*a^8*b^3*c*d^6 + 1080025939968*a^8*b^3*c*d*e^4 - 165853396992*a^8*b^3*d^3*e^3 + 320077824*a^8*b^2*c^8*e - 
    85917696*a^8*b^2*c^7*d^2 - 19128647680*a^8*b^2*c^5*d*e^2 - 14647951360*a^8*b^2*c^4*d^3*e + 3549102080*a^8*b^2*c^3*d^5 - 
    494845034496*a^8*b^2*c^3*e^4 + 299057283072*a^8*b^2*c^2*d^2*e^3 + 117676965888*a^8*b^2*c*d^4*e^2 - 
    15440117760*a^8*b^2*d^6*e + 982889005056*a^8*b^2*d*e^5 + 7864320*a^8*b*c^9*d - 5393874944*a^8*b*c^7*e^2 + 
    4661837824*a^8*b*c^6*d^2*e - 1034551296*a^8*b*c^5*d^4 + 347280506880*a^8*b*c^4*d*e^3 - 308517797888*a^8*b*c^3*d^3*e^2 + 
    99488169984*a^8*b*c^2*d^5*e + 3570634063872*a^8*b*c^2*e^5 - 8647999488*a^8*b*c*d^7 - 359732871168*a^8*b*c*d^2*e^4 + 
    120198201344*a^8*b*d^4*e^3 - 1048576*a^8*c^11 + 1159200768*a^8*c^8*d*e - 214171648*a^8*c^7*d^3 - 12962496512*a^8*c^6*e^3 
    + 5444730880*a^8*c^5*d^2*e^2 - 39983251456*a^8*c^4*d^4*e + 8025407488*a^8*c^3*d^6 + 185224658944*a^8*c^3*d*e^4 + 
    759025893376*a^8*c^2*d^3*e^3 - 76495060992*a^8*c*d^5*e^2 - 309015347200*a^8*c*e^6 - 2976251904*a^8*d^7*e - 
    640058654720*a^8*d^2*e^5 + 282525696*a^7*b^8*c*e^3 + 5308416*a^7*b^8*d^2*e^2 - 182255616*a^7*b^7*c^2*d*e^2 + 
    37552128*a^7*b^7*c*d^3*e + 5004288*a^7*b^7*d^5 + 1112997888*a^7*b^7*e^4 - 2322726912*a^7*b^6*c^4*e^2 + 
    82870272*a^7*b^6*c^3*d^2*e + 22290432*a^7*b^6*c^2*d^4 - 8249868288*a^7*b^6*c*d*e^3 + 4703993856*a^7*b^6*d^3*e^2 + 
    1177550848*a^7*b^5*c^5*d*e - 248397824*a^7*b^5*c^4*d^3 - 53819998208*a^7*b^5*c^3*e^3 - 2773942272*a^7*b^5*c^2*d^2*e^2 - 
    5234098176*a^7*b^5*c*d^4*e + 637808640*a^7*b^5*d^6 - 318130814976*a^7*b^5*d*e^4 - 221315072*a^7*b^4*c^7*e + 
    74956800*a^7*b^4*c^6*d^2 + 18376294400*a^7*b^4*c^4*d*e^2 - 42434560*a^7*b^4*c^3*d^3*e - 1111142400*a^7*b^4*c^2*d^5 + 
    221244162048*a^7*b^4*c^2*e^4 - 540606136320*a^7*b^4*c*d^2*e^3 + 8720842752*a^7*b^4*d^4*e^2 - 14680064*a^7*b^3*c^8*d + 
    22662742016*a^7*b^3*c^6*e^2 + 798031872*a^7*b^3*c^5*d^2*e + 57344000*a^7*b^3*c^4*d^4 + 95523176448*a^7*b^3*c^3*d*e^3 + 
    188884844544*a^7*b^3*c^2*d^3*e^2 - 94628806656*a^7*b^3*c*d^5*e + 387934322688*a^7*b^3*c*e^5 + 3424124928*a^7*b^3*d^7 - 
    1440084525056*a^7*b^3*d^2*e^4 + 2097152*a^7*b^2*c^10 - 10584981504*a^7*b^2*c^7*d*e + 2241560576*a^7*b^2*c^6*d^3 + 
    43841224704*a^7*b^2*c^5*e^3 - 174739947520*a^7*b^2*c^4*d^2*e^2 + 147861995520*a^7*b^2*c^3*d^4*e - 
    22429532160*a^7*b^2*c^2*d^6 - 517623250944*a^7*b^2*c^2*d*e^4 - 497924440064*a^7*b^2*c*d^3*e^3 - 
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    - 53359321088*b^5*c^6*d^2*e + 12316987392*b^5*c^5*d^4 + 805095444480*b^5*c^4*d*e^3 - 119933820928*b^5*c^3*d^3*e^2 - 
    89023856640*b^5*c^2*d^5*e + 870896640000*b^5*c^2*e^5 + 21066678272*b^5*c*d^7 + 3666869760000*b^5*c*d^2*e^4 - 
    614176358400*b^5*d^4*e^3 - 1409024*b^4*c^11 + 8654512128*b^4*c^8*d*e - 2333786112*b^4*c^7*d^3 - 98424176640*b^4*c^6*e^3 -
    683741712384*b^4*c^5*d^2*e^2 + 356805713920*b^4*c^4*d^4*e - 70764281856*b^4*c^3*d^6 - 10520824320000*b^4*c^3*d*e^4 + 
    1343210496000*b^4*c^2*d^3*e^3 + 1974064824320*b^4*c*d^5*e^2 - 3439104000000*b^4*c*e^6 - 3116105728*b^4*d^7*e + 
    2477209600000*b^4*d^2*e^5 - 175243264*b^3*c^10*e - 11206656*b^3*c^9*d^2 + 325907742720*b^3*c^7*d*e^2 - 
    46484701184*b^3*c^6*d^3*e + 20833206272*b^3*c^5*d^5 + 1922297856000*b^3*c^5*e^4 + 8086904832000*b^3*c^4*d^2*e^3 - 
    6610400870400*b^3*c^3*d^4*e^2 - 453142773760*b^3*c^2*d^6*e + 29579008000000*b^3*c^2*d*e^5 + 154884112384*b^3*c*d^8 - 
    10045696000000*b^3*c*d^3*e^4 + 3442409472000*b^3*d^5*e^3 + 2361600000000*b^3*e^7 + 33030144*b^2*c^11*d - 
    26308706304*b^2*c^9*e^2 - 87235854336*b^2*c^8*d^2*e + 11865145344*b^2*c^7*d^4 - 2758252134400*b^2*c^6*d*e^3 + 
    627070976000*b^2*c^5*d^3*e^2 + 2485812805632*b^2*c^4*d^5*e - 10234982400000*b^2*c^4*e^5 - 467070746624*b^2*c^3*d^7 - 
    25045504000000*b^2*c^3*d^2*e^4 + 19259054080000*b^2*c^2*d^4*e^3 - 8050216140800*b^2*c*d^6*e^2 - 
    14295040000000*b^2*c*d*e^6 + 253257318400*b^2*d^8*e - 709120000000*b^2*d^3*e^5 - 3538944*b*c^13 + 24906498048*b*c^10*d*e 
    - 4316397568*b*c^9*d^3 + 238026752000*b*c^8*e^3 + 630636871680*b*c^7*d^2*e^2 - 1274437697536*b*c^6*d^4*e + 
    243539050496*b*c^5*d^6 + 8627281920000*b*c^5*d*e^4 + 785735680000*b*c^4*d^3*e^3 - 6794657792000*b*c^3*d^5*e^2 + 
    20710400000000*b*c^3*e^6 + 4825170575360*b*c^2*d^7*e + 23851008000000*b*c^2*d^2*e^5 - 699245002752*b*c*d^9 - 
    12224921600000*b*c*d^4*e^4 - 5703925760000*b*d^6*e^3 - 2048000000000*b*d*e^7 - 1758855168*c^12*e + 320274432*c^11*d^2 - 
    68599480320*c^9*d*e^2 + 147338493952*c^8*d^3*e - 30594433024*c^7*d^5 - 493813760000*c^7*e^4 - 1737400320000*c^6*d^2*e^3 +
    3280075161600*c^5*d^4*e^2 - 1876206551040*c^4*d^6*e - 11860992000000*c^4*d*e^5 + 281369903104*c^3*d^8 - 
    5077196800000*c^3*d^3*e^4 + 4659732480000*c^2*d^5*e^3 - 12416000000000*c^2*e^7 + 1962967040000*c*d^7*e^2 - 
    24832000000000*c*d^2*e^6 - 547671244800*d^9*e - 8381440000000*d^4*e^5
;
M[2][5,3] :=
                                -M[2][3,5];
M[3][3,5] :=
-2415919104*a^13*b*e^5 + 2013265920*a^13*c*d*e^4 - 50331648*a^13*d^3*e^3 + 2264924160*a^12*b^2*d*e^4 - 
    2818572288*a^12*b*c^2*e^4 - 4353687552*a^12*b*c*d^2*e^3 + 377487360*a^12*b*d^4*e^2 + 335544320*a^12*c^3*d*e^3 + 
    566231040*a^12*c^2*d^3*e^2 - 28311552*a^12*c*d^5*e - 51136954368*a^12*c*e^5 - 10616832*a^12*d^7 + 1157627904*a^12*d^2*e^4
    + 1233125376*a^11*b^3*c*e^4 + 132120576*a^11*b^3*d^2*e^3 + 5322571776*a^11*b^2*c^2*d*e^3 + 1396703232*a^11*b^2*c*d^3*e^2 
    - 168689664*a^11*b^2*d^5*e + 58737033216*a^11*b^2*e^5 - 1073741824*a^11*b*c^4*e^3 - 2560622592*a^11*b*c^3*d^2*e^2 - 
    99090432*a^11*b*c^2*d^4*e + 76087296*a^11*b*c*d^6 + 64172851200*a^11*b*c*d*e^4 - 603979776*a^11*b*d^3*e^3 - 
    536870912*a^11*c^5*d*e^2 + 665845760*a^11*c^4*d^3*e - 121896960*a^11*c^3*d^5 + 48385490944*a^11*c^3*e^4 - 
    40831549440*a^11*c^2*d^2*e^3 + 5690621952*a^11*c*d^4*e^2 - 322043904*a^11*d^6*e + 89238011904*a^11*d*e^5 - 
    207618048*a^10*b^5*e^4 - 2865758208*a^10*b^4*c*d*e^3 - 319684608*a^10*b^4*d^3*e^2 + 287309824*a^10*b^3*c^3*e^3 - 
    372768768*a^10*b^3*c^2*d^2*e^2 - 94568448*a^10*b^3*c*d^4*e - 1867776*a^10*b^3*d^6 - 72087502848*a^10*b^3*d*e^4 + 
    3759144960*a^10*b^2*c^4*d*e^2 - 7864320*a^10*b^2*c^3*d^3*e - 26542080*a^10*b^2*c^2*d^5 - 44052774912*a^10*b^2*c^2*e^4 + 
    33200013312*a^10*b^2*c*d^2*e^3 - 7230062592*a^10*b^2*d^4*e^2 + 1199570944*a^10*b*c^6*e^2 - 1938292736*a^10*b*c^5*d^2*e + 
    362414080*a^10*b*c^4*d^4 - 17066622976*a^10*b*c^3*d*e^3 + 28972154880*a^10*b*c^2*d^3*e^2 - 5418123264*a^10*b*c*d^5*e + 
    592076341248*a^10*b*c*e^5 + 406978560*a^10*b*d^7 - 175883943936*a^10*b*d^2*e^4 + 79691776*a^10*c^7*d*e - 
    16515072*a^10*c^6*d^3 - 17716740096*a^10*c^5*e^3 + 22063087616*a^10*c^4*d^2*e^2 - 11681398784*a^10*c^3*d^4*e + 
    1676869632*a^10*c^2*d^6 - 185233047552*a^10*c^2*d*e^4 + 106923294720*a^10*c*d^3*e^3 - 8206811136*a^10*d^5*e^2 + 
    119034347520*a^10*e^6 + 449445888*a^9*b^6*d*e^3 + 176160768*a^9*b^5*c^2*e^3 + 786235392*a^9*b^5*c*d^2*e^2 + 
    55296000*a^9*b^5*d^4*e - 3267624960*a^9*b^4*c^3*d*e^2 + 62914560*a^9*b^4*c^2*d^3*e + 33669120*a^9*b^4*c*d^5 + 
    21796749312*a^9*b^4*c*e^4 + 16914186240*a^9*b^4*d^2*e^3 - 3302490112*a^9*b^3*c^5*e^2 + 2251161600*a^9*b^3*c^4*d^2*e - 
    421068800*a^9*b^3*c^3*d^4 - 18443403264*a^9*b^3*c^2*d*e^3 - 30294147072*a^9*b^3*c*d^3*e^2 + 4639752192*a^9*b^3*d^5*e - 
    494049165312*a^9*b^3*e^5 + 831258624*a^9*b^2*c^6*d*e - 156106752*a^9*b^2*c^5*d^3 + 52329185280*a^9*b^2*c^4*e^3 - 
    32589742080*a^9*b^2*c^3*d^2*e^2 + 12958433280*a^9*b^2*c^2*d^4*e - 1835827200*a^9*b^2*c*d^6 - 719037923328*a^9*b^2*c*d*e^4
    + 77352665088*a^9*b^2*d^3*e^3 - 175112192*a^9*b*c^8*e + 33161216*a^9*b*c^7*d^2 - 8590983168*a^9*b*c^5*d*e^2 + 
    11107041280*a^9*b*c^4*d^3*e - 1823211520*a^9*b*c^3*d^5 - 518778781696*a^9*b*c^3*e^4 + 503973937152*a^9*b*c^2*d^2*e^3 - 
    148355481600*a^9*b*c*d^4*e^2 + 12825133056*a^9*b*d^6*e - 1243846017024*a^9*b*d*e^5 + 524288*a^9*c^9*d + 
    2982150144*a^9*c^7*e^2 - 3137601536*a^9*c^6*d^2*e + 550633472*a^9*c^5*d^4 + 125612064768*a^9*c^4*d*e^3 - 
    112709861376*a^9*c^3*d^3*e^2 + 50982813696*a^9*c^2*d^5*e - 1077420228608*a^9*c^2*e^5 - 6523453440*a^9*c*d^7 + 
    467981565952*a^9*c*d^2*e^4 - 83168460800*a^9*d^4*e^3 - 77266944*a^8*b^7*c*e^3 - 151732224*a^8*b^7*d^2*e^2 + 
    1191444480*a^8*b^6*c^2*d*e^2 - 108036096*a^8*b^6*c*d^3*e - 8534016*a^8*b^6*d^5 - 2294415360*a^8*b^6*e^4 + 
    3345481728*a^8*b^5*c^4*e^2 - 1186332672*a^8*b^5*c^3*d^2*e + 190550016*a^8*b^5*c^2*d^4 + 7442399232*a^8*b^5*c*d*e^3 + 
    2721447936*a^8*b^5*d^3*e^2 - 1366687744*a^8*b^4*c^5*d*e + 274432000*a^8*b^4*c^4*d^3 - 40582774784*a^8*b^4*c^3*e^3 + 
    40005992448*a^8*b^4*c^2*d^2*e^2 - 3489103872*a^8*b^4*c*d^4*e - 28975104*a^8*b^4*d^6 + 619966758912*a^8*b^4*d*e^4 + 
    285081600*a^8*b^3*c^7*e - 68386816*a^8*b^3*c^6*d^2 - 8465940480*a^8*b^3*c^4*d*e^2 - 18759024640*a^8*b^3*c^3*d^3*e + 
    3071016960*a^8*b^3*c^2*d^5 + 672297123840*a^8*b^3*c^2*e^4 - 143004401664*a^8*b^3*c*d^2*e^3 + 53439528960*a^8*b^3*d^4*e^2 
    + 6291456*a^8*b^2*c^8*d - 17314349056*a^8*b^2*c^6*e^2 + 16543121408*a^8*b^2*c^5*d^2*e - 3090841600*a^8*b^2*c^4*d^4 - 
    31716802560*a^8*b^2*c^3*d*e^3 - 169997893632*a^8*b^2*c^2*d^3*e^2 + 34924068864*a^8*b^2*c*d^5*e - 
    1776298229760*a^8*b^2*c*e^5 - 3299180544*a^8*b^2*d^7 + 1899469996032*a^8*b^2*d^2*e^4 - 1048576*a^8*b*c^10 + 
    1358168064*a^8*b*c^7*d*e - 230162432*a^8*b*c^6*d^3 + 123999879168*a^8*b*c^5*e^3 - 174281457664*a^8*b*c^4*d^2*e^2 + 
    49673076736*a^8*b*c^3*d^4*e - 6892290048*a^8*b*c^2*d^6 + 3526178635776*a^8*b*c^2*d*e^4 - 1525150384128*a^8*b*c*d^3*e^3 + 
    147481559040*a^8*b*d^5*e^2 - 1520015769600*a^8*b*e^6 - 194510848*a^8*c^9*e + 43122688*a^8*c^8*d^2 - 
    31863341056*a^8*c^6*d*e^2 + 31198281728*a^8*c^5*d^3*e - 5378867200*a^8*c^4*d^5 + 806123208704*a^8*c^4*e^4 - 
    1112648712192*a^8*c^3*d^2*e^3 + 376517623808*a^8*c^2*d^4*e^2 - 89894813696*a^8*c*d^6*e + 2922030039040*a^8*c*d*e^5 + 
    7474053120*a^8*d^8 - 355910156288*a^8*d^3*e^4 + 6979584*a^7*b^9*e^3 - 213221376*a^7*b^8*c*d*e^2 + 21491712*a^7*b^8*d^3*e 
    - 1720909824*a^7*b^7*c^3*e^2 + 351092736*a^7*b^7*c^2*d^2*e - 36664320*a^7*b^7*c*d^4 - 1506705408*a^7*b^7*d*e^3 + 
    892649472*a^7*b^6*c^4*d*e - 175636480*a^7*b^6*c^3*d^3 + 14847639552*a^7*b^6*c^2*e^3 - 14799126528*a^7*b^6*c*d^2*e^2 + 
    76425216*a^7*b^6*d^4*e - 192315392*a^7*b^5*c^6*e + 57073664*a^7*b^5*c^5*d^2 + 11507859456*a^7*b^5*c^3*d*e^2 + 
    6643335168*a^7*b^5*c^2*d^3*e - 987254784*a^7*b^5*c*d^5 - 319913656320*a^7*b^5*c*e^4 - 179756040192*a^7*b^5*d^2*e^3 - 
    12713984*a^7*b^4*c^7*d + 35613179904*a^7*b^4*c^5*e^2 - 15419473920*a^7*b^4*c^4*d^2*e + 3088199680*a^7*b^4*c^3*d^4 - 
    55021928448*a^7*b^4*c^2*d*e^3 + 173396951040*a^7*b^4*c*d^3*e^2 - 33415176192*a^7*b^4*d^5*e + 1842656182272*a^7*b^4*e^5 + 
    2097152*a^7*b^3*c^9 - 10659364864*a^7*b^3*c^6*d*e + 2142765056*a^7*b^3*c^5*d^3 - 360015069184*a^7*b^3*c^4*e^3 + 
    409843007488*a^7*b^3*c^3*d^2*e^2 - 80969859072*a^7*b^3*c^2*d^4*e + 10424549376*a^7*b^3*c*d^6 + 
    1071032565760*a^7*b^3*c*d*e^4 - 719434940416*a^7*b^3*d^3*e^3 + 1902772224*a^7*b^2*c^8*e - 474513408*a^7*b^2*c^7*d^2 + 
    201913401344*a^7*b^2*c^5*d*e^2 - 154351042560*a^7*b^2*c^4*d^3*e + 27667824640*a^7*b^2*c^3*d^5 + 
    417114095616*a^7*b^2*c^3*e^4 - 1967015067648*a^7*b^2*c^2*d^2*e^3 + 977601331200*a^7*b^2*c*d^4*e^2 - 
    95527993344*a^7*b^2*d^6*e + 6110708367360*a^7*b^2*d*e^5 + 7864320*a^7*b*c^9*d - 3770023936*a^7*b*c^7*e^2 - 
    13027115008*a^7*b*c^6*d^2*e + 2401107968*a^7*b*c^5*d^4 - 1078192504832*a^7*b*c^4*d*e^3 + 1527569973248*a^7*b*c^3*d^3*e^2 
    - 511823183872*a^7*b*c^2*d^5*e + 9009477713920*a^7*b*c^2*e^5 + 65590919168*a^7*b*c*d^7 - 9708639420416*a^7*b*c*d^2*e^4 + 
    1304331026432*a^7*b*d^4*e^3 + 2511339520*a^7*c^8*d*e - 565575680*a^7*c^7*d^3 - 231130005504*a^7*c^6*e^3 + 
    399399190528*a^7*c^5*d^2*e^2 - 241258463232*a^7*c^4*d^4*e + 36466589696*a^7*c^3*d^6 - 4131464151040*a^7*c^3*d*e^4 + 
    3244589318144*a^7*c^2*d^3*e^3 - 496475832320*a^7*c*d^5*e^2 + 603324416000*a^7*c*e^6 + 45967474688*a^7*d^7*e - 
    1740855705600*a^7*d^2*e^5 + 16496640*a^6*b^10*d*e^2 + 487157760*a^6*b^9*c^2*e^2 - 54300672*a^6*b^9*c*d^2*e + 
    2605824*a^6*b^9*d^4 - 300834816*a^6*b^8*c^3*d*e + 53151744*a^6*b^8*c^2*d^3 - 2657157120*a^6*b^8*c*e^3 + 
    1910255616*a^6*b^8*d^2*e^2 + 67215360*a^6*b^7*c^5*e - 28124160*a^6*b^7*c^4*d^2 - 5134712832*a^6*b^7*c^2*d*e^2 - 
    260395008*a^6*b^7*c*d^3*e + 135496704*a^6*b^7*d^5 + 38200197120*a^6*b^7*e^4 + 11063296*a^6*b^6*c^6*d - 
    32695205888*a^6*b^6*c^4*e^2 + 7661469696*a^6*b^6*c^3*d^2*e - 1440559104*a^6*b^6*c^2*d^4 + 86587932672*a^6*b^6*c*d*e^3 - 
    1133113344*a^6*b^6*d^3*e^2 - 1835008*a^6*b^5*c^8 + 13894369280*a^6*b^5*c^5*d*e - 3087372288*a^6*b^5*c^4*d^3 + 
    313876480000*a^6*b^5*c^3*e^3 - 335235391488*a^6*b^5*c^2*d^2*e^2 + 30110220288*a^6*b^5*c*d^4*e + 800010240*a^6*b^5*d^6 - 
    2111427969024*a^6*b^5*d*e^4 - 2706276352*a^6*b^4*c^7*e + 806494208*a^6*b^4*c^6*d^2 - 228007444480*a^6*b^4*c^4*d*e^2 + 
    171690967040*a^6*b^4*c^3*d^3*e - 29827215360*a^6*b^4*c^2*d^5 - 1844221509632*a^6*b^4*c^2*e^4 + 
    976735305728*a^6*b^4*c*d^2*e^3 - 167693205504*a^6*b^4*d^4*e^2 - 54001664*a^6*b^3*c^8*d + 25806012416*a^6*b^3*c^6*e^2 + 
    15681912832*a^6*b^3*c^5*d^2*e - 4478894080*a^6*b^3*c^4*d^4 + 1600880115712*a^6*b^3*c^3*d*e^3 - 
    633823297536*a^6*b^3*c^2*d^3*e^2 + 17600774144*a^6*b^3*c*d^5*e - 1852319662080*a^6*b^3*c*e^5 + 9736404992*a^6*b^3*d^7 - 
    6566250250240*a^6*b^3*d^2*e^4 + 5242880*a^6*b^2*c^10 - 5258280960*a^6*b^2*c^7*d*e + 1716846592*a^6*b^2*c^6*d^3 + 
    347056111616*a^6*b^2*c^5*e^3 - 908768641024*a^6*b^2*c^4*d^2*e^2 + 485441437696*a^6*b^2*c^3*d^4*e - 
    75297374208*a^6*b^2*c^2*d^6 - 13702977355776*a^6*b^2*c^2*d*e^4 + 8780156370944*a^6*b^2*c*d^3*e^3 - 
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    338755629056*a^2*b^6*d^4*e^2 + 204423168*a^2*b^5*c^8*d - 8634826752*a^2*b^5*c^6*e^2 - 327068737536*a^2*b^5*c^5*d^2*e + 
    86189027328*a^2*b^5*c^4*d^4 - 7828506132480*a^2*b^5*c^3*d*e^3 + 1494404538368*a^2*b^5*c^2*d^3*e^2 - 
    293789335552*a^2*b^5*c*d^5*e - 16518531072000*a^2*b^5*c*e^5 + 48636723200*a^2*b^5*d^7 - 1163384524800*a^2*b^5*d^2*e^4 - 
    9568256*a^2*b^4*c^10 + 52826374144*a^2*b^4*c^7*d*e - 19820732416*a^2*b^4*c^6*d^3 - 1577343442944*a^2*b^4*c^5*e^3 + 
    5998909501440*a^2*b^4*c^4*d^2*e^2 - 1244287713280*a^2*b^4*c^3*d^4*e + 126399954944*a^2*b^4*c^2*d^6 + 
    32939426304000*a^2*b^4*c^2*d*e^4 + 3272957952000*a^2*b^4*c*d^3*e^3 - 3103353438208*a^2*b^4*d^5*e^2 + 
    13780377600000*a^2*b^4*e^6 + 3328114688*a^2*b^3*c^9*e - 302465024*a^2*b^3*c^8*d^2 + 1240429330432*a^2*b^3*c^6*d*e^2 - 
    1776069705728*a^2*b^3*c^5*d^3*e + 384386088960*a^2*b^3*c^4*d^5 + 18942105600000*a^2*b^3*c^4*e^4 - 
    42925606502400*a^2*b^3*c^3*d^2*e^3 + 7477837905920*a^2*b^3*c^2*d^4*e^2 + 2139059060736*a^2*b^3*c*d^6*e - 
    52641894400000*a^2*b^3*c*d*e^5 - 416662421504*a^2*b^3*d^8 + 29373020160000*a^2*b^3*d^3*e^4 + 149028864*a^2*b^2*c^10*d - 
    164548706304*a^2*b^2*c^8*e^2 + 88153915392*a^2*b^2*c^7*d^2*e - 36582162432*a^2*b^2*c^6*d^4 - 
    15411007979520*a^2*b^2*c^5*d*e^3 + 25384853258240*a^2*b^2*c^4*d^3*e^2 - 8058512834560*a^2*b^2*c^3*d^5*e - 
    36636979200000*a^2*b^2*c^3*e^5 + 1074786959360*a^2*b^2*c^2*d^7 + 130523904000000*a^2*b^2*c^2*d^2*e^4 - 
    81193869312000*a^2*b^2*c*d^4*e^3 + 8551608975360*a^2*b^2*d^6*e^2 + 2976768000000*a^2*b^2*d*e^6 - 17694720*a^2*b*c^12 + 
    44517949440*a^2*b*c^9*d*e - 8022327296*a^2*b*c^8*d^3 + 252255272960*a^2*b*c^7*e^3 + 3249355948032*a^2*b*c^6*d^2*e^2 - 
    3752321941504*a^2*b*c^5*d^4*e + 641718681600*a^2*b*c^4*d^6 + 48559063040000*a^2*b*c^4*d*e^4 - 
    100201496576000*a^2*b*c^3*d^3*e^3 + 60843812126720*a^2*b*c^2*d^5*e^2 + 2446336000000*a^2*b*c^2*e^6 - 
    10996479164416*a^2*b*c*d^7*e + 5691187200000*a^2*b*c*d^2*e^5 + 901371133952*a^2*b*d^9 - 23129702400000*a^2*b*d^4*e^4 - 
    1051066368*a^2*c^11*e + 210567168*a^2*c^10*d^2 - 464739041280*a^2*c^8*d*e^2 + 474477625344*a^2*c^7*d^3*e - 
    86756556800*a^2*c^6*d^5 + 4372430848000*a^2*c^6*e^4 - 24761093324800*a^2*c^5*d^2*e^3 + 30309339955200*a^2*c^4*d^4*e^2 - 
    13050707312640*a^2*c^3*d^6*e + 22108160000000*a^2*c^3*d*e^5 + 1694080040960*a^2*c^2*d^8 - 54287769600000*a^2*c^2*d^3*e^4 
    + 25209143296000*a^2*c*d^5*e^3 + 5580800000000*a^2*c*e^7 - 446683545600*a^2*d^7*e^2 - 15124480000000*a^2*d^2*e^6 - 
    241920*a*b^15*d*e + 80640*a*b^14*c^2*e - 1267200*a*b^14*c*d^2 + 833280*a*b^13*c^3*d - 1347284160*a*b^13*c*e^2 + 
    37778688*a*b^13*d^2*e - 136960*a*b^12*c^5 + 829499328*a*b^12*c^2*d*e - 209035776*a*b^12*c*d^3 + 3834393408*a*b^12*e^3 - 
    179043008*a*b^11*c^4*e + 48745472*a*b^11*c^3*d^2 - 18502207488*a*b^11*c*d*e^2 + 678918144*a*b^11*d^3*e + 
    4439744*a*b^10*c^5*d - 10260580800*a*b^10*c^3*e^2 + 11292509952*a*b^10*c^2*d^2*e - 2467213312*a*b^10*c*d^4 - 
    23231189760*a*b^10*d*e^3 - 1072128*a*b^9*c^7 + 3479971072*a*b^9*c^4*d*e - 1023000576*a*b^9*c^3*d^3 + 
    109574101504*a*b^9*c^2*e^3 - 25251965952*a*b^9*c*d^2*e^2 - 1914720256*a*b^9*d^4*e - 1206426624*a*b^8*c^6*e + 
    505099776*a*b^8*c^5*d^2 - 230328039168*a*b^8*c^3*d*e^2 + 46097215488*a*b^8*c^2*d^3*e - 5473689600*a*b^8*c*d^5 - 
    937401783040*a*b^8*c*e^4 + 560349982720*a*b^8*d^2*e^3 - 35947520*a*b^7*c^7*d - 7709665280*a*b^7*c^5*e^2 + 
    91848162304*a*b^7*c^4*d^2*e - 22865838080*a*b^7*c^3*d^4 + 447056730112*a*b^7*c^2*d*e^3 - 490513629184*a*b^7*c*d^3*e^2 + 
    74127245312*a*b^7*d^5*e + 1588960896000*a*b^7*e^5 + 835584*a*b^6*c^9 - 12661881856*a*b^6*c^6*d*e + 
    3749519360*a*b^6*c^5*d^3 + 609970537472*a*b^6*c^4*e^3 - 455230851072*a*b^6*c^3*d^2*e^2 + 45995384832*a*b^6*c^2*d^4*e - 
    10505158656*a*b^6*c*d^6 + 3562166528000*a*b^6*c*d*e^4 + 681904414720*a*b^6*d^3*e^3 - 1415987200*a*b^5*c^8*e + 
    784076800*a*b^5*c^7*d^2 - 848062611456*a*b^5*c^5*d*e^2 + 443407593472*a*b^5*c^4*d^3*e - 77758922752*a*b^5*c^3*d^5 - 
    9380525260800*a*b^5*c^3*e^4 - 1144566865920*a*b^5*c^2*d^2*e^3 - 461406748672*a*b^5*c*d^4*e^2 - 26814513152*a*b^5*d^6*e - 
    6762001920000*a*b^5*d*e^5 - 154288128*a*b^4*c^9*d + 86187556864*a*b^4*c^7*e^2 + 140793856000*a*b^4*c^6*d^2*e - 
    38726361088*a*b^4*c^5*d^4 + 9640362700800*a*b^4*c^4*d*e^3 - 2694013788160*a*b^4*c^3*d^3*e^2 + 
    763742240768*a*b^4*c^2*d^5*e + 34852390400000*a*b^4*c^2*e^5 - 75195351040*a*b^4*c*d^7 + 4521021440000*a*b^4*c*d^2*e^4 - 
    12825311232000*a*b^4*d^4*e^3 + 12976128*a*b^3*c^11 - 55263952896*a*b^3*c^8*d*e + 18367414272*a*b^3*c^7*d^3 - 
    59629731840*a*b^3*c^6*e^3 - 4139655905280*a*b^3*c^5*d^2*e^2 + 982485565440*a*b^3*c^4*d^4*e - 165538430976*a*b^3*c^3*d^6 -
    49025402880000*a*b^3*c^3*d*e^4 + 14804635648000*a*b^3*c^2*d^3*e^3 + 9526609182720*a*b^3*c*d^5*e^2 - 
    47669504000000*a*b^3*c*e^6 - 872417853440*a*b^3*d^7*e + 6071040000000*a*b^3*d^2*e^5 + 2555707392*a*b^2*c^10*e - 
    1889599488*a*b^2*c^9*d^2 - 13831077888*a*b^2*c^7*d*e^2 + 942931886080*a*b^2*c^6*d^3*e - 174323580928*a*b^2*c^5*d^5 - 
    8515457024000*a*b^2*c^5*e^4 + 37117466624000*a*b^2*c^4*d^2*e^3 - 18771810304000*a*b^2*c^3*d^4*e^2 - 
    1494059646976*a*b^2*c^2*d^6*e + 96299827200000*a*b^2*c^2*d*e^5 + 483176480768*a*b^2*c*d^8 - 
    93961113600000*a*b^2*c*d^3*e^4 + 30410514432000*a*b^2*d^5*e^3 + 17433600000000*a*b^2*e^7 + 97320960*a*b*c^11*d + 
    73573466112*a*b*c^9*e^2 - 229157634048*a*b*c^8*d^2*e + 46997504000*a*b*c^7*d^4 + 3988881408000*a*b*c^6*d*e^3 - 
    13794692628480*a*b*c^5*d^3*e^2 + 9034107715584*a*b*c^4*d^5*e + 25473843200000*a*b*c^4*e^5 - 1365505998848*a*b*c^3*d^7 - 
    108674252800000*a*b*c^3*d^2*e^4 + 101043568640000*a*b*c^2*d^4*e^3 - 33644249088000*a*b*c*d^6*e^2 - 
    32588800000000*a*b*c*d*e^6 + 2143042928640*a*b*d^8*e + 33917952000000*a*b*d^3*e^5 + 6117064704*a*c^10*d*e - 
    1445658624*a*c^9*d^3 - 496823500800*a*c^8*e^3 + 1514566778880*a*c^7*d^2*e^2 - 973154025472*a*c^6*d^4*e + 
    153967132672*a*c^5*d^6 - 19123691520000*a*c^5*d*e^4 + 53962956800000*a*c^4*d^3*e^3 - 47138208153600*a*c^3*d^5*e^2 - 
    16020480000000*a*c^3*e^6 + 16283071938560*a*c^2*d^7*e + 15664128000000*a*c^2*d^2*e^5 - 1866836475904*a*c*d^9 + 
    13121740800000*a*c*d^4*e^4 - 8999075840000*a*d^6*e^3 + 3328000000000*a*d*e^7 + 69120*b^16*d^2 - 46080*b^15*c^2*d + 
    77552640*b^15*e^2 + 7680*b^14*c^4 - 51402240*b^14*c*d*e + 12042240*b^14*d^3 + 11389440*b^13*c^3*e - 2413440*b^13*c^2*d^2 
    + 922246272*b^13*d*e^2 - 492800*b^12*c^4*d + 800473536*b^12*c^2*e^2 - 678670848*b^12*c*d^2*e + 149225472*b^12*d^4 + 
    92800*b^11*c^6 - 330868480*b^11*c^3*d*e + 86213632*b^11*c^2*d^3 - 4375688448*b^11*c*e^3 + 514114560*b^11*d^2*e^2 + 
    103011712*b^10*c^5*e - 35546816*b^10*c^4*d^2 + 15973604736*b^10*c^2*d*e^2 - 1189326848*b^10*c*d^3*e + 47448064*b^10*d^5 +
    49991472960*b^10*e^4 + 935424*b^9*c^6*d + 1669166080*b^9*c^4*e^2 - 8773596160*b^9*c^3*d^2*e + 2079586304*b^9*c^2*d^4 - 
    27026603008*b^9*c*d*e^3 - 43636361216*b^9*d^3*e^2 + 145408*b^8*c^8 + 924498432*b^8*c^5*d*e - 217614592*b^8*c^4*d^3 - 
    46746302464*b^8*c^3*e^3 + 74116124160*b^8*c^2*d^2*e^2 + 32625991680*b^8*c*d^4*e - 7858290688*b^8*d^6 - 
    352532844800*b^8*d*e^4 + 198774784*b^7*c^7*e - 119092224*b^7*c^6*d^2 + 76587167744*b^7*c^4*d*e^2 - 
    68435369984*b^7*c^3*d^3*e + 14314340352*b^7*c^2*d^5 + 802854732800*b^7*c^2*e^4 - 552337776640*b^7*c*d^2*e^3 - 
    171365924864*b^7*d^4*e^2 + 19046400*b^6*c^8*d - 5656451072*b^6*c^6*e^2 - 12494008320*b^6*c^5*d^2*e + 
    2996144128*b^6*c^4*d^4 - 240487792640*b^6*c^3*d*e^3 + 954371829760*b^6*c^2*d^3*e^2 - 21699756032*b^6*c*d^5*e - 
    2360504320000*b^6*c*e^5 - 12729712640*b^6*d^7 + 1259339008000*b^6*d^2*e^4 - 1409024*b^5*c^10 + 5625069568*b^5*c^7*d*e - 
    1587924992*b^5*c^6*d^3 - 163619143680*b^5*c^5*e^3 - 308258340864*b^5*c^4*d^2*e^2 - 211360841728*b^5*c^3*d^4*e + 
    45588119552*b^5*c^2*d^6 - 2170443264000*b^5*c^2*d*e^4 - 2447228108800*b^5*c*d^3*e^3 + 2297617940480*b^5*d^5*e^2 + 
    1444608000000*b^5*e^6 - 135790592*b^4*c^9*e - 7118848*b^4*c^8*d^2 + 333121789952*b^4*c^6*d*e^2 + 
    27732377600*b^4*c^5*d^3*e - 1680285696*b^4*c^4*d^5 + 3957826560000*b^4*c^4*e^4 + 3480268800000*b^4*c^3*d^2*e^3 - 
    2296765644800*b^4*c^2*d^4*e^2 - 1454377926656*b^4*c*d^6*e + 7738931200000*b^4*c*d*e^5 + 258067136512*b^4*d^8 + 
    943180800000*b^4*d^3*e^4 + 31260672*b^3*c^10*d - 44821643264*b^3*c^8*e^2 - 77964836864*b^3*c^7*d^2*e + 
    11442503680*b^3*c^6*d^4 - 4882140364800*b^3*c^5*d*e^3 + 1544362393600*b^3*c^4*d^3*e^2 + 2024341307392*b^3*c^3*d^5*e - 
    19034726400000*b^3*c^3*e^5 - 373775138816*b^3*c^2*d^7 - 9551308800000*b^3*c^2*d^2*e^4 + 18927411200000*b^3*c*d^4*e^3 - 
    6345922969600*b^3*d^6*e^2 - 1530880000000*b^3*d*e^6 - 3538944*b^2*c^12 + 25363021824*b^2*c^9*d*e - 4463411200*b^2*c^8*d^3
    + 461810892800*b^2*c^7*e^3 + 1361353359360*b^2*c^6*d^2*e^2 - 1787610824704*b^2*c^5*d^4*e + 314402029568*b^2*c^4*d^6 + 
    28322662400000*b^2*c^4*d*e^4 - 20090224640000*b^2*c^3*d^3*e^3 - 4257953382400*b^2*c^2*d^5*e^2 + 
    34599680000000*b^2*c^2*e^6 + 5601854750720*b^2*c*d^7*e - 5965824000000*b^2*c*d^2*e^5 - 739338354688*b^2*d^9 - 
    7245158400000*b^2*d^4*e^4 - 1925185536*b*c^11*e + 360972288*b*c^10*d^2 - 267063459840*b*c^8*d*e^2 + 
    316546088960*b*c^7*d^3*e - 59313291264*b*c^6*d^5 - 876421120000*b*c^6*e^4 - 10045939712000*b*c^5*d^2*e^3 + 
    15242428416000*b*c^4*d^4*e^2 - 6836019527680*b*c^3*d^6*e - 60944384000000*b*c^3*d*e^5 + 884528906240*b*c^2*d^8 + 
    80600064000000*b*c^2*d^3*e^4 - 37488394240000*b*c*d^5*e^3 - 22912000000000*b*c*e^7 + 6796148736000*b*d^7*e^2 - 
    1843200000000*b*d^2*e^6 + 5538447360*c^10*e^2 - 9381740544*c^9*d^2*e + 1969422336*c^8*d^4 + 1102381056000*c^7*d*e^3 - 
    1604553932800*c^6*d^3*e^2 + 724056801280*c^5*d^5*e + 309248000000*c^5*e^5 - 97295597568*c^4*d^7 + 
    21907865600000*c^4*d^2*e^4 - 40766668800000*c^3*d^4*e^3 + 27264991232000*c^2*d^6*e^2 + 36249600000000*c^2*d*e^6 - 
    7806491033600*c*d^8*e - 40570880000000*c*d^3*e^5 + 793059000320*d^10 + 11299840000000*d^5*e^4 + 3200000000000*e^8
;
M[3][5,3] :=
                                -M[3][3,5];
M[4][3,5] :=
-3221225472*a^14*e^5 + 4026531840*a^13*b*d*e^4 - 2415919104*a^13*c^2*e^4 - 3221225472*a^13*c*d^2*e^3 + 452984832*a^13*d^4*e^2
    + 805306368*a^12*b^2*c*e^4 - 805306368*a^12*b^2*d^2*e^3 + 5637144576*a^12*b*c^2*d*e^3 + 1509949440*a^12*b*c*d^3*e^2 - 
    226492416*a^12*b*d^5*e + 53150220288*a^12*b*e^5 - 1207959552*a^12*c^4*e^3 - 1946157056*a^12*c^3*d^2*e^2 + 
    150994944*a^12*c^2*d^4*e + 42467328*a^12*c*d^6 + 45499809792*a^12*c*d*e^4 - 352321536*a^12*d^3*e^3 - 
    150994944*a^11*b^4*e^4 - 2818572288*a^11*b^3*c*d*e^3 - 176160768*a^11*b^3*d^3*e^2 + 402653184*a^11*b^2*c^3*e^3 - 
    1056964608*a^11*b^2*c^2*d^2*e^2 - 207618048*a^11*b^2*c*d^4*e + 12386304*a^11*b^2*d^6 - 80983621632*a^11*b^2*d*e^4 + 
    2852126720*a^11*b*c^4*d*e^2 + 671088640*a^11*b*c^3*d^3*e - 165150720*a^11*b*c^2*d^5 + 14092861440*a^11*b*c^2*e^4 + 
    4152360960*a^11*b*c*d^2*e^3 - 6643777536*a^11*b*d^4*e^2 + 1241513984*a^11*c^6*e^2 - 1610612736*a^11*c^5*d^2*e + 
    298844160*a^11*c^4*d^4 - 5972688896*a^11*c^3*d*e^3 + 24297603072*a^11*c^2*d^3*e^2 - 5284823040*a^11*c*d^5*e - 
    173811957760*a^11*c*e^5 + 222953472*a^11*d^7 - 62629347328*a^11*d^2*e^4 + 452984832*a^10*b^5*d*e^3 + 
    125829120*a^10*b^4*c^2*e^3 + 990904320*a^10*b^4*c*d^2*e^2 + 60948480*a^10*b^4*d^4*e - 2600468480*a^10*b^3*c^3*d*e^2 - 
    188743680*a^10*b^3*c^2*d^3*e + 87490560*a^10*b^3*c*d^5 + 2692743168*a^10*b^3*c*e^4 + 29714546688*a^10*b^3*d^2*e^3 - 
    3506438144*a^10*b^2*c^5*e^2 + 1803550720*a^10*b^2*c^4*d^2*e - 325713920*a^10*b^2*c^3*d^4 - 41863348224*a^10*b^2*c^2*d*e^3
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    1118692147200*a*b^2*c^3*d^5*e - 32166912000000*a*b^2*c^3*e^5 + 69925994496*a*b^2*c^2*d^7 + 
    43429171200000*a*b^2*c^2*d^2*e^4 - 16762552320000*a*b^2*c*d^4*e^3 - 112063283200*a*b^2*d^6*e^2 + 
    11888640000000*a*b^2*d*e^6 - 3538944*a*b*c^12 + 20704002048*a*b*c^9*d*e - 2713649152*a*b*c^8*d^3 + 
    757012889600*a*b*c^7*e^3 + 1462925721600*a*b*c^6*d^2*e^2 - 2196395524096*a*b*c^5*d^4*e + 386311258112*a*b*c^4*d^6 + 
    39329587200000*a*b*c^4*d*e^4 - 47176581120000*a*b*c^3*d^3*e^3 + 16510112563200*a*b*c^2*d^5*e^2 + 
    30632960000000*a*b*c^2*e^6 - 150444441600*a*b*c*d^7*e + 37048320000000*a*b*c*d^2*e^5 - 119487332352*a*b*d^9 - 
    26767769600000*a*b*d^4*e^4 - 1992425472*a*c^11*e + 330891264*a*c^10*d^2 - 382615879680*a*c^8*d*e^2 + 
    418287321088*a*c^7*d^3*e - 76789055488*a*c^6*d^5 + 657080320000*a*c^6*e^4 - 13503905792000*a*c^5*d^2*e^3 + 
    18189967360000*a*c^4*d^4*e^2 - 8054853468160*a*c^3*d^6*e - 18720768000000*a*c^3*d*e^5 + 1052977135616*a*c^2*d^8 - 
    12394291200000*a*c^2*d^3*e^4 + 15545303040000*a*c*d^5*e^3 - 9728000000000*a*c*e^7 - 1426489344000*a*d^7*e^2 - 
    45107200000000*a*d^2*e^6 - 103680*b^15*d*e + 34560*b^14*c^2*e + 11520*b^14*c*d^2 - 3840*b^13*c^3*d - 29695680*b^13*c*e^2 
    - 875520*b^13*d^2*e + 18648000*b^12*c^2*d*e - 4254720*b^12*c*d^3 + 2014967232*b^12*e^3 - 3925440*b^11*c^4*e + 
    1192960*b^11*c^3*d^2 - 2580005376*b^11*c*d*e^2 + 284946432*b^11*d^3*e - 46400*b^10*c^5*d + 224766144*b^10*c^3*e^2 + 
    770477568*b^10*c^2*d^2*e - 191131648*b^10*c*d^4 + 910044672*b^10*d*e^3 - 162906880*b^9*c^4*d*e + 45572096*b^9*c^3*d^3 + 
    24366859776*b^9*c^2*e^3 - 8153687040*b^9*c*d^2*e^2 + 343883776*b^9*d^4*e - 2955264*b^8*c^6*e + 216576*b^8*c^5*d^2 - 
    25456197888*b^8*c^3*d*e^2 + 7935976448*b^8*c^2*d^3*e - 1051967488*b^8*c*d^5 - 191648736000*b^8*c*e^4 - 
    88464931840*b^8*d^2*e^3 - 72704*b^7*c^7*d + 4269963264*b^7*c^5*e^2 + 4797600768*b^7*c^4*d^2*e - 1222475776*b^7*c^3*d^4 + 
    357653780480*b^7*c^2*d*e^3 + 81907367936*b^7*c*d^3*e^2 - 12398297088*b^7*d^5*e + 287763840000*b^7*e^5 - 
    2157294592*b^6*c^6*d*e + 546697216*b^6*c^5*d^3 + 38196648960*b^6*c^4*e^3 - 323495581696*b^6*c^3*d^2*e^2 + 
    6491815936*b^6*c^2*d^4*e + 7029063680*b^6*c*d^6 - 658997504000*b^6*c*d*e^4 + 368397926400*b^6*d^3*e^3 + 
    167952384*b^5*c^8*e - 50982912*b^5*c^7*d^2 + 10662789120*b^5*c^5*d*e^2 + 108540071936*b^5*c^4*d^3*e - 
    24420483072*b^5*c^3*d^5 - 1249864704000*b^5*c^3*e^4 + 744814387200*b^5*c^2*d^2*e^3 - 151044177920*b^5*c*d^4*e^2 + 
    32676511744*b^5*d^6*e - 641856000000*b^5*d*e^5 + 704512*b^4*c^9*d + 7153975296*b^4*c^7*e^2 - 33551482880*b^4*c^6*d^2*e + 
    7754260480*b^4*c^5*d^4 + 1574029824000*b^4*c^4*d*e^3 - 957012992000*b^4*c^3*d^3*e^2 - 2761146368*b^4*c^2*d^5*e + 
    6142425600000*b^4*c^2*e^5 + 18689556480*b^4*c*d^7 + 3216998400000*b^4*c*d^2*e^4 - 1190533120000*b^4*d^4*e^3 + 
    2326396928*b^3*c^8*d*e - 569868288*b^3*c^7*d^3 - 121466880000*b^3*c^6*e^3 - 524721930240*b^3*c^5*d^2*e^2 + 
    476801105920*b^3*c^4*d^4*e - 87792812032*b^3*c^3*d^6 - 12877977600000*b^3*c^3*d*e^4 + 2141736960000*b^3*c^2*d^3*e^3 + 
    905494528000*b^3*c*d^5*e^2 - 11270400000000*b^3*c*e^6 - 82790318080*b^3*d^7*e + 1090816000000*b^3*d^2*e^5 - 
    8847360*b^2*c^10*e - 12091392*b^2*c^9*d^2 + 117389230080*b^2*c^7*d*e^2 - 72017526784*b^2*c^6*d^3*e + 
    15318794240*b^2*c^5*d^5 - 569180160000*b^2*c^5*e^4 + 9215846400000*b^2*c^4*d^2*e^3 - 4600039424000*b^2*c^3*d^4*e^2 + 
    305195253760*b^2*c^2*d^6*e + 38911488000000*b^2*c^2*d*e^5 + 5606735872*b^2*c*d^8 - 24665190400000*b^2*c*d^3*e^4 + 
    3535585280000*b^2*d^5*e^3 + 6144000000000*b^2*e^7 + 1769472*b*c^11*d - 35389440*b*c^9*e^2 - 11315183616*b*c^8*d^2*e + 
    1888944128*b*c^7*d^4 - 198344704000*b*c^6*d*e^3 - 2017941913600*b*c^5*d^3*e^2 + 1494671032320*b*c^4*d^5*e + 
    3373056000000*b*c^4*e^5 - 226211397632*b*c^3*d^7 - 33866137600000*b*c^3*d^2*e^4 + 28611379200000*b*c^2*d^4*e^3 - 
    7316799488000*b*c*d^6*e^2 - 37734400000000*b*c*d*e^6 + 296013004800*b*d^8*e + 12272640000000*b*d^3*e^5 + 
    1378418688*c^10*d*e - 284884992*c^9*d^3 - 93118464000*c^8*e^3 + 417551155200*c^7*d^2*e^2 - 278103326720*c^6*d^4*e + 
    43918032896*c^5*d^6 - 2146918400000*c^5*d*e^4 + 10437632000000*c^4*d^3*e^3 - 10270384128000*c^3*d^5*e^2 - 
    2534400000000*c^3*e^6 + 3680495206400*c^2*d^7*e + 17464320000000*c^2*d^2*e^5 - 426497802240*c*d^9 - 
    8082432000000*c*d^4*e^4 + 67993600000*d^6*e^3 + 14080000000000*d*e^7
;
M[4][5,3] :=
                                -M[4][3,5];
M[5][3,5] :=
-3221225472*a^13*e^5 + 4026531840*a^12*b*d*e^4 - 2415919104*a^12*c^2*e^4 - 3221225472*a^12*c*d^2*e^3 + 452984832*a^12*d^4*e^2
    + 805306368*a^11*b^2*c*e^4 - 805306368*a^11*b^2*d^2*e^3 + 5637144576*a^11*b*c^2*d*e^3 + 1509949440*a^11*b*c*d^3*e^2 - 
    226492416*a^11*b*d^5*e + 52344913920*a^11*b*e^5 - 1207959552*a^11*c^4*e^3 - 1946157056*a^11*c^3*d^2*e^2 + 
    150994944*a^11*c^2*d^4*e + 42467328*a^11*c*d^6 + 43486543872*a^11*c*d*e^4 - 301989888*a^11*d^3*e^3 - 
    150994944*a^10*b^4*e^4 - 2818572288*a^10*b^3*c*d*e^3 - 176160768*a^10*b^3*d^3*e^2 + 402653184*a^10*b^2*c^3*e^3 - 
    1056964608*a^10*b^2*c^2*d^2*e^2 - 207618048*a^10*b^2*c*d^4*e + 12386304*a^10*b^2*d^6 - 79222013952*a^10*b^2*d*e^4 + 
    2852126720*a^10*b*c^4*d*e^2 + 671088640*a^10*b*c^3*d^3*e - 165150720*a^10*b*c^2*d^5 + 14495514624*a^10*b*c^2*e^4 + 
    5284823040*a^10*b*c*d^2*e^3 - 6568280064*a^10*b*d^4*e^2 + 1241513984*a^10*c^6*e^2 - 1610612736*a^10*c^5*d^2*e + 
    298844160*a^10*c^4*d^4 - 6308233216*a^10*c^3*d*e^3 + 23731372032*a^10*c^2*d^3*e^2 - 5256511488*a^10*c*d^5*e - 
    135023034368*a^10*c*e^5 + 233570304*a^10*d^7 - 62847451136*a^10*d^2*e^4 + 452984832*a^9*b^5*d*e^3 + 
    125829120*a^9*b^4*c^2*e^3 + 990904320*a^9*b^4*c*d^2*e^2 + 60948480*a^9*b^4*d^4*e - 2600468480*a^9*b^3*c^3*d*e^2 - 
    188743680*a^9*b^3*c^2*d^3*e + 87490560*a^9*b^3*c*d^5 + 2264924160*a^9*b^3*c*e^4 + 28777119744*a^9*b^3*d^2*e^3 - 
    3506438144*a^9*b^2*c^5*e^2 + 1803550720*a^9*b^2*c^4*d^2*e - 325713920*a^9*b^2*c^3*d^4 - 41548775424*a^9*b^2*c^2*d*e^3 - 
    23592960000*a^9*b^2*c*d^3*e^2 + 5170397184*a^9*b^2*d^5*e - 309237645312*a^9*b^2*e^5 + 989855744*a^9*b*c^6*d*e - 
    195035136*a^9*b*c^5*d^3 + 19763560448*a^9*b*c^4*e^3 - 4106223616*a^9*b*c^3*d^2*e^2 - 800587776*a^9*b*c^2*d^4*e - 
    87293952*a^9*b*c*d^6 - 366313734144*a^9*b*c*d*e^4 + 66999812096*a^9*b*d^3*e^3 - 180355072*a^9*c^8*e + 
    37748736*a^9*c^7*d^2 - 9059696640*a^9*c^5*d*e^2 + 9909043200*a^9*c^4*d^3*e - 1730150400*a^9*c^3*d^5 + 
    25635586048*a^9*c^3*e^4 - 75539415040*a^9*c^2*d^2*e^3 - 18036031488*a^9*c*d^4*e^2 + 5969018880*a^9*d^6*e + 
    150827171840*a^9*d*e^5 - 69206016*a^8*b^6*c*e^3 - 180486144*a^8*b^6*d^2*e^2 + 953155584*a^8*b^5*c^2*d*e^2 - 
    66846720*a^8*b^5*c*d^3*e - 16171008*a^8*b^5*d^5 + 37748736*a^8*b^5*e^4 + 3612344320*a^8*b^4*c^4*e^2 - 
    956825600*a^8*b^4*c^3*d^2*e + 140328960*a^8*b^4*c^2*d^4 + 16628318208*a^8*b^4*c*d*e^3 - 421527552*a^8*b^4*d^3*e^2 - 
    1501560832*a^8*b^3*c^5*d*e + 310640640*a^8*b^3*c^4*d^3 - 14516486144*a^8*b^3*c^3*e^3 + 29667360768*a^8*b^3*c^2*d^2*e^2 + 
    888864768*a^8*b^3*c*d^4*e - 460652544*a^8*b^3*d^6 + 550519177216*a^8*b^3*d*e^4 + 293601280*a^8*b^2*c^7*e - 
    76546048*a^8*b^2*c^6*d^2 - 6197084160*a^8*b^2*c^4*d*e^2 - 17230725120*a^8*b^2*c^3*d^3*e + 3209625600*a^8*b^2*c^2*d^5 - 
    27858567168*a^8*b^2*c^2*e^4 + 156531425280*a^8*b^2*c*d^2*e^3 + 22690332672*a^8*b^2*d^4*e^2 + 7340032*a^8*b*c^8*d - 
    10989076480*a^8*b*c^6*e^2 + 9798942720*a^8*b*c^5*d^2*e - 1887436800*a^8*b*c^4*d^4 + 128756744192*a^8*b*c^3*d*e^3 - 
    203915526144*a^8*b*c^2*d^3*e^2 + 56817352704*a^8*b*c*d^5*e + 1612374343680*a^8*b*c*e^5 - 4411883520*a^8*b*d^7 + 
    597059174400*a^8*b*d^2*e^4 - 1048576*a^8*c^10 + 864026624*a^8*c^7*d*e - 143130624*a^8*c^6*d^3 - 27615297536*a^8*c^5*e^3 +
    11261706240*a^8*c^4*d^2*e^2 - 21432893440*a^8*c^3*d^4*e + 3609722880*a^8*c^2*d^6 + 612863311872*a^8*c^2*d*e^4 + 
    63654854656*a^8*c*d^3*e^3 - 17501519872*a^8*d^5*e^2 - 119537664000*a^8*e^6 + 6488064*a^7*b^8*e^3 - 
    171048960*a^7*b^7*c*d*e^2 + 20054016*a^7*b^7*d^3*e - 1885601792*a^7*b^6*c^3*e^2 + 296091648*a^7*b^6*c^2*d^2*e - 
    25559040*a^7*b^6*c*d^4 - 2934177792*a^7*b^6*d*e^3 + 956301312*a^7*b^5*c^4*d*e - 194674688*a^7*b^5*c^3*d^3 + 
    4586471424*a^7*b^5*c^2*e^3 - 13497532416*a^7*b^5*c*d^2*e^2 - 228311040*a^7*b^5*d^4*e - 197656576*a^7*b^4*c^6*e + 
    63471616*a^7*b^4*c^5*d^2 + 7266631680*a^7*b^4*c^3*d*e^2 + 6070272000*a^7*b^4*c^2*d^3*e - 1159741440*a^7*b^4*c*d^5 - 
    64738033664*a^7*b^4*c*e^4 - 247915085824*a^7*b^4*d^2*e^3 - 13631488*a^7*b^3*c^7*d + 30665605120*a^7*b^3*c^5*e^2 - 
    9363783680*a^7*b^3*c^4*d^2*e + 1870069760*a^7*b^3*c^3*d^4 + 16349396992*a^7*b^3*c^2*d*e^3 + 
    136171618304*a^7*b^3*c*d^3*e^2 - 37375049728*a^7*b^3*d^5*e + 756547584000*a^7*b^3*e^5 + 2097152*a^7*b^2*c^9 - 
    9988210688*a^7*b^2*c^6*d*e + 2081685504*a^7*b^2*c^5*d^3 - 91580530688*a^7*b^2*c^4*e^3 + 110857814016*a^7*b^2*c^3*d^2*e^2 
    + 8572502016*a^7*b^2*c^2*d^4*e - 1597636608*a^7*b^2*c*d^6 + 294603718656*a^7*b^2*c*d*e^4 - 699274100736*a^7*b^2*d^3*e^3 +
    1596981248*a^7*b*c^8*e - 425984000*a^7*b*c^7*d^2 + 111371354112*a^7*b*c^5*d*e^2 - 74241802240*a^7*b*c^4*d^3*e + 
    13993246720*a^7*b*c^3*d^5 - 594831998976*a^7*b*c^3*e^4 + 141472825344*a^7*b*c^2*d^2*e^3 + 198918012928*a^7*b*c*d^4*e^2 - 
    58400702464*a^7*b*d^6*e - 1517499187200*a^7*b*d*e^5 + 10485760*a^7*c^9*d + 15414067200*a^7*c^7*e^2 - 
    20285227008*a^7*c^6*d^2*e + 3417309184*a^7*c^5*d^4 - 85062582272*a^7*c^4*d*e^3 + 353447706624*a^7*c^3*d^3*e^2 - 
    75974049792*a^7*c^2*d^5*e - 1500092825600*a^7*c^2*e^5 + 5615910912*a^7*c*d^7 - 2132627947520*a^7*c*d^2*e^4 + 
    77021052928*a^7*d^4*e^3 + 13713408*a^6*b^9*d*e^2 + 541016064*a^6*b^8*c^2*e^2 - 48586752*a^6*b^8*c*d^2*e + 
    1769472*a^6*b^8*d^4 - 317456384*a^6*b^7*c^3*d*e + 59301888*a^6*b^7*c^2*d^3 - 674365440*a^6*b^7*c*e^3 + 
    2018377728*a^6*b^7*d^2*e^2 + 68550656*a^6*b^6*c^5*e - 30846976*a^6*b^6*c^4*d^2 - 2637299712*a^6*b^6*c^2*d*e^2 - 
    205258752*a^6*b^6*c*d^3*e + 181432320*a^6*b^6*d^5 + 8029339648*a^6*b^6*e^4 + 11501568*a^6*b^5*c^6*d - 
    30950555648*a^6*b^5*c^4*e^2 + 4984176640*a^6*b^5*c^3*d^2*e - 845832192*a^6*b^5*c^2*d^4 + 24369168384*a^6*b^5*c*d*e^3 + 
    17604575232*a^6*b^5*d^3*e^2 - 1835008*a^6*b^4*c^8 + 13498384384*a^6*b^4*c^5*d*e - 3077980160*a^6*b^4*c^4*d^3 + 
    102932938752*a^6*b^4*c^3*e^3 - 190655791104*a^6*b^4*c^2*d^2*e^2 + 901103616*a^6*b^4*c*d^4*e + 3787128832*a^6*b^4*d^6 - 
    1667957260288*a^6*b^4*d*e^4 - 2507931648*a^6*b^3*c^7*e + 792133632*a^6*b^3*c^6*d^2 - 132614717440*a^6*b^3*c^4*d*e^2 + 
    107486248960*a^6*b^3*c^3*d^3*e - 20310425600*a^6*b^3*c^2*d^5 + 489885270016*a^6*b^3*c^2*e^4 - 
    341072019456*a^6*b^3*c*d^2*e^3 + 49454579712*a^6*b^3*d^4*e^2 - 58720256*a^6*b^2*c^8*d - 13359382528*a^6*b^2*c^6*e^2 + 
    24485560320*a^6*b^2*c^5*d^2*e - 5181603840*a^6*b^2*c^4*d^4 - 289510260736*a^6*b^2*c^3*d*e^3 + 
    369978638336*a^6*b^2*c^2*d^3*e^2 - 189234675712*a^6*b^2*c*d^5*e - 6557427302400*a^6*b^2*c*e^5 + 27253538816*a^6*b^2*d^7 -
    1237123399680*a^6*b^2*d^2*e^4 + 5242880*a^6*b*c^10 + 3937927168*a^6*b*c^7*d*e - 332005376*a^6*b*c^6*d^3 + 
    318684266496*a^6*b*c^5*e^3 - 578991685632*a^6*b*c^4*d^2*e^2 + 227540205568*a^6*b*c^3*d^4*e - 36759404544*a^6*b*c^2*d^6 - 
    2120889139200*a^6*b*c^2*d*e^4 + 1342037295104*a^6*b*c*d^3*e^3 + 117249409024*a^6*b*d^5*e^2 + 1195376640000*a^6*b*e^6 - 
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    9374105600000*a^2*d^4*e^4 - 138240*a*b^14*d*e + 46080*a*b^13*c^2*e - 1278720*a*b^13*c*d^2 + 837120*a*b^12*c^3*d - 
    1300999680*a*b^12*c*e^2 + 38481408*a*b^12*d^2*e - 136960*a*b^11*c^5 + 801547008*a*b^11*c^2*d*e - 202848256*a*b^11*c*d^3 +
    1766967552*a*b^11*e^3 - 173234688*a*b^10*c^4*e + 47116032*a*b^10*c^3*d^2 - 15310827264*a*b^10*c*d*e^2 + 
    387870720*a*b^10*d^3*e + 4486144*a*b^9*c^5*d - 10276460544*a*b^9*c^3*e^2 + 10149288960*a*b^9*c^2*d^2*e - 
    2196688896*a*b^9*c*d^4 - 17551002624*a*b^9*d*e^3 - 1072128*a*b^8*c^7 + 3607547904*a*b^8*c^4*d*e - 
    1063287808*a*b^8*c^3*d^3 + 62472122368*a*b^8*c^2*e^3 - 8342701056*a*b^8*c*d^2*e^2 - 1513545728*a*b^8*d^4*e - 
    1180846080*a*b^7*c^6*e + 499494912*a*b^7*c^5*d^2 - 181119584256*a*b^7*c^3*d*e^2 + 26897702912*a*b^7*c^2*d^3*e - 
    2678128640*a*b^7*c*d^5 - 614586931200*a*b^7*c*e^4 + 593786511360*a*b^7*d^2*e^3 - 35874816*a*b^6*c^7*d - 
    15228440576*a*b^6*c^5*e^2 + 84040019968*a*b^6*c^4*d^2*e - 20895604736*a*b^6*c^3*d^4 + 57088102400*a*b^6*c^2*d*e^3 - 
    483703021568*a*b^6*c*d^3*e^2 + 78845968384*a*b^6*d^5*e + 1226142720000*a*b^6*e^5 + 835584*a*b^5*c^9 - 
    9056280576*a*b^5*c^6*d*e + 2859311104*a*b^5*c^5*d^3 + 385440399360*a*b^5*c^4*e^3 - 26469064704*a*b^5*c^3*d^2*e^2 + 
    15172730880*a*b^5*c^2*d^4*e - 11344347136*a*b^5*c*d^6 + 4452544512000*a*b^5*c*d*e^4 - 188854272000*a*b^5*d^3*e^3 - 
    1663221760*a*b^4*c^8*e + 854671360*a*b^4*c^7*d^2 - 712954773504*a*b^4*c^5*d*e^2 + 236377128960*a*b^4*c^4*d^3*e - 
    37925781504*a*b^4*c^3*d^5 - 5339059200000*a*b^4*c^3*e^4 - 2599655424000*a*b^4*c^2*d^2*e^3 + 183372185600*a*b^4*c*d^4*e^2 
    - 122961133568*a*b^4*d^6*e - 5599334400000*a*b^4*d*e^5 - 154992640*a*b^3*c^9*d + 50561875968*a*b^3*c^7*e^2 + 
    182468345856*a*b^3*c^6*d^2*e - 47406120960*a*b^3*c^5*d^4 + 5144592384000*a*b^3*c^4*d*e^3 - 390053068800*a*b^3*c^3*d^3*e^2
    + 583783612416*a*b^3*c^2*d^5*e + 16541388800000*a*b^3*c^2*e^5 - 69679448064*a*b^3*c*d^7 - 2257408000000*a*b^3*c*d^2*e^4 -
    9071943680000*a*b^3*d^4*e^3 + 12976128*a*b^2*c^11 - 51932626944*a*b^2*c^8*d*e + 17635475456*a*b^2*c^7*d^3 + 
    101788876800*a*b^2*c^6*e^3 - 2565602672640*a*b^2*c^5*d^2*e^2 - 92214067200*a*b^2*c^4*d^4*e + 12892962816*a*b^2*c^3*d^6 - 
    8656588800000*a*b^2*c^3*d*e^4 + 6138552320000*a*b^2*c^2*d^3*e^3 + 7014889881600*a*b^2*c*d^5*e^2 - 
    15390720000000*a*b^2*c*e^6 - 524607815680*a*b^2*d^7*e - 17362944000000*a*b^2*d^2*e^5 + 1934622720*a*b*c^10*e - 
    1723269120*a*b*c^9*d^2 - 222457036800*a*b*c^7*d*e^2 + 955954757632*a*b*c^6*d^3*e - 175443410944*a*b*c^5*d^5 - 
    3676897280000*a*b*c^5*e^4 + 6103531520000*a*b*c^4*d^2*e^3 - 3229433856000*a*b*c^3*d^4*e^2 - 2638669414400*a*b*c^2*d^6*e -
    26388480000000*a*b*c^2*d*e^5 + 470631317504*a*b*c*d^8 + 16167731200000*a*b*c*d^3*e^4 + 12412682240000*a*b*d^5*e^3 + 
    3072000000000*a*b*e^7 + 95551488*a*c^11*d + 52223016960*a*c^9*e^2 - 158290673664*a*c^8*d^2*e + 32430489600*a*c^7*d^4 + 
    2897969152000*a*c^6*d*e^3 - 5801345024000*a*c^5*d^3*e^2 + 3616972472320*a*c^4*d^5*e + 3895296000000*a*c^4*e^5 - 
    550331219968*a*c^3*d^7 + 21531033600000*a*c^3*d^2*e^4 - 15244492800000*a*c^2*d^4*e^3 - 2081980416000*a*c*d^6*e^2 + 
    32563200000000*a*c*d*e^6 + 692846592000*a*d^8*e + 38092800000000*a*d^3*e^5 + 69120*b^15*d^2 - 46080*b^14*c^2*d + 
    76775040*b^14*e^2 + 7680*b^13*c^4 - 50952960*b^13*c*d*e + 11950080*b^13*d^3 + 11297280*b^12*c^3*e - 2392320*b^12*c^2*d^2 
    + 896516352*b^12*d*e^2 - 492800*b^11*c^4*d + 785327616*b^11*c^2*e^2 - 661813248*b^11*c*d^2*e + 145580032*b^11*d^4 + 
    92800*b^10*c^6 - 325681920*b^10*c^3*d*e + 85235712*b^10*c^2*d^3 - 2944945920*b^10*c*e^3 - 395452416*b^10*d^2*e^2 + 
    101169152*b^9*c^5*e - 35109376*b^9*c^4*d^2 + 14495130624*b^9*c^2*d*e^2 - 382816256*b^9*c*d^3*e - 85491712*b^9*d^5 + 
    55301337600*b^9*e^4 + 935424*b^8*c^6*d + 1866003456*b^8*c^4*e^2 - 8604423168*b^8*c^3*d^2*e + 2036862976*b^8*c^2*d^4 - 
    44483445760*b^8*c*d*e^3 - 41373749248*b^8*d^3*e^2 + 145408*b^7*c^8 + 843196416*b^7*c^5*d*e - 197836800*b^7*c^4*d^3 - 
    24821524480*b^7*c^3*e^3 + 70567723008*b^7*c^2*d^2*e^2 + 30105075712*b^7*c*d^4*e - 7708475392*b^7*d^6 - 
    441615360000*b^7*d*e^4 + 200849408*b^6*c^7*e - 119647232*b^6*c^6*d^2 + 58149300224*b^6*c^4*d*e^2 - 
    57384951808*b^6*c^3*d^3*e + 12631212032*b^6*c^2*d^5 + 659360896000*b^6*c^2*e^4 - 400823705600*b^6*c*d^2*e^3 - 
    149149941760*b^6*d^4*e^2 + 19046400*b^5*c^8*d - 2230910976*b^5*c^6*e^2 - 12812599296*b^5*c^5*d^2*e + 
    2962571264*b^5*c^4*d^4 - 146621030400*b^5*c^3*d*e^3 + 802364293120*b^5*c^2*d^3*e^2 - 31976652800*b^5*c*d^5*e - 
    2043571200000*b^5*c*e^5 - 7624720384*b^5*d^7 + 920156160000*b^5*d^2*e^4 - 1409024*b^4*c^10 + 4809220096*b^4*c^7*d*e - 
    1399140352*b^4*c^6*d^3 - 108930662400*b^4*c^5*e^3 - 353498112000*b^4*c^4*d^2*e^2 - 151202856960*b^4*c^3*d^4*e + 
    32574078976*b^4*c^2*d^6 - 2620915200000*b^4*c^2*d*e^4 - 912117760000*b^4*c*d^3*e^3 + 1879020339200*b^4*d^5*e^2 + 
    1416960000000*b^4*e^6 - 48234496*b^3*c^9*e - 28655616*b^3*c^8*d^2 + 294753239040*b^3*c^6*d*e^2 + 
    48982228992*b^3*c^5*d^3*e - 4171431936*b^3*c^4*d^5 + 2661427200000*b^3*c^4*e^4 + 3217182720000*b^3*c^3*d^2*e^3 - 
    2828451840000*b^3*c^2*d^4*e^2 - 1047745003520*b^3*c*d^6*e + 6498304000000*b^3*c*d*e^5 + 208324788224*b^3*d^8 + 
    6736691200000*b^3*d^3*e^4 + 31260672*b^2*c^10*d - 35096494080*b^2*c^8*e^2 - 85511503872*b^2*c^7*d^2*e + 
    12764594176*b^2*c^6*d^4 - 3282493440000*b^2*c^5*d*e^3 + 1243860992000*b^2*c^4*d^3*e^2 + 1701213962240*b^2*c^3*d^5*e - 
    10633728000000*b^2*c^3*e^5 - 322842394624*b^2*c^2*d^7 - 10270771200000*b^2*c^2*d^2*e^4 + 6137651200000*b^2*c*d^4*e^3 - 
    2975989760000*b^2*d^6*e^2 - 2688000000000*b^2*d*e^6 - 3538944*b*c^12 + 24885264384*b*c^9*d*e - 4365942784*b*c^8*d^3 + 
    288382976000*b*c^7*e^3 + 845129318400*b*c^6*d^2*e^2 - 1269252751360*b*c^5*d^4*e + 229509562368*b*c^4*d^6 + 
    11461222400000*b*c^4*d*e^4 - 4301209600000*b*c^3*d^3*e^3 - 2962587648000*b*c^2*d^5*e^2 + 13721600000000*b*c^2*e^6 + 
    2858339532800*b*c*d^7*e + 34314240000000*b*c*d^2*e^5 - 395229265920*b*d^9 - 24180736000000*b*d^4*e^4 - 1801322496*c^11*e 
    + 330891264*c^10*d^2 - 130557542400*c^8*d*e^2 + 175428075520*c^7*d^3*e - 33758052352*c^6*d^5 - 252108800000*c^6*e^4 - 
    3370352640000*c^5*d^2*e^3 + 4889722880000*c^4*d^4*e^2 - 2322025676800*c^3*d^6*e - 9738240000000*c^3*d*e^5 + 
    317105111040*c^2*d^8 - 9827328000000*c^2*d^3*e^4 + 11553177600000*c*d^5*e^3 - 5120000000000*c*e^7 - 1732116480000*d^7*e^2
    - 31744000000000*d^2*e^6
;
M[5][5,3] :=
                                -M[5][3,5];
M[1][4,5] :=
4294967296*a^16*e^6 - 6442450944*a^15*b*d*e^5 - 5368709120*a^15*c^2*e^5 + 3489660928*a^15*c*d^2*e^4 - 520093696*a^15*d^4*e^3 
    + 5637144576*a^14*b^2*c*e^5 + 2717908992*a^14*b^2*d^2*e^4 + 3221225472*a^14*b*c^2*d*e^4 - 2449473536*a^14*b*c*d^3*e^3 + 
    390070272*a^14*b*d^5*e^2 - 93415538688*a^14*b*e^6 + 2684354560*a^14*c^4*e^4 - 2684354560*a^14*c^3*d^2*e^3 + 
    977272832*a^14*c^2*d^4*e^2 - 150994944*a^14*c*d^6*e + 72477573120*a^14*c*d*e^5 + 7077888*a^14*d^8 - 
    14361296896*a^14*d^3*e^4 - 1056964608*a^13*b^4*e^5 - 4865392640*a^13*b^3*c*d*e^4 - 293601280*a^13*b^3*d^3*e^3 - 
    4831838208*a^13*b^2*c^3*e^4 + 3246391296*a^13*b^2*c^2*d^2*e^3 - 301989888*a^13*b^2*c*d^4*e^2 - 40894464*a^13*b^2*d^6*e + 
    109387448320*a^13*b^2*d*e^5 + 58720256*a^13*b*c^3*d^3*e^2 - 35651584*a^13*b*c^2*d^5*e + 99052683264*a^13*b*c^2*e^5 + 
    9437184*a^13*b*c*d^7 - 143579414528*a^13*b*c*d^2*e^4 + 24649924608*a^13*b*d^4*e^3 - 671088640*a^13*c^6*e^3 + 
    704643072*a^13*c^5*d^2*e^2 - 256901120*a^13*c^4*d^4*e + 29360128*a^13*c^3*d^6 - 31943819264*a^13*c^3*d*e^4 + 
    48402268160*a^13*c^2*d^3*e^3 - 12725518336*a^13*c*d^5*e^2 + 53955526656*a^13*c*e^6 + 972029952*a^13*d^7*e + 
    48351936512*a^13*d^2*e^5 + 994050048*a^12*b^5*d*e^4 + 3326083072*a^12*b^4*c^2*e^4 + 109051904*a^12*b^4*c*d^2*e^3 + 
    111673344*a^12*b^4*d^4*e^2 + 528482304*a^12*b^3*c^3*d*e^3 - 654311424*a^12*b^3*c^2*d^3*e^2 + 109051904*a^12*b^3*c*d^5*e -
    109353893888*a^12*b^3*c*e^5 + 1048576*a^12*b^3*d^7 - 27388805120*a^12*b^3*d^2*e^4 + 1509949440*a^12*b^2*c^5*e^3 - 
    1365245952*a^12*b^2*c^4*d^2*e^2 + 415236096*a^12*b^2*c^3*d^4*e - 45088768*a^12*b^2*c^2*d^6 + 50331648*a^12*b^2*c^2*d*e^4 
    + 36289118208*a^12*b^2*c*d^3*e^3 - 8081375232*a^12*b^2*d^5*e^2 + 834934931456*a^12*b^2*e^6 - 201326592*a^12*b*c^6*d*e^2 +
    161480704*a^12*b*c^5*d^3*e - 23855104*a^12*b*c^4*d^5 - 37178310656*a^12*b*c^4*e^4 + 25979518976*a^12*b*c^3*d^2*e^3 - 
    27227324416*a^12*b*c^2*d^4*e^2 + 6051332096*a^12*b*c*d^6*e - 1466831994880*a^12*b*c*d*e^5 - 370409472*a^12*b*d^8 + 
    205327958016*a^12*b*d^3*e^4 + 83886080*a^12*c^8*e^2 - 67108864*a^12*c^7*d^2*e + 11272192*a^12*c^6*d^4 + 
    7449083904*a^12*c^5*d*e^3 - 599785472*a^12*c^4*d^3*e^2 + 1514143744*a^12*c^3*d^5*e + 17985175552*a^12*c^3*e^5 - 
    345243648*a^12*c^2*d^7 - 67285024768*a^12*c^2*d^2*e^4 - 11425284096*a^12*c*d^4*e^3 - 1029701632*a^12*d^6*e^2 - 
    387620798464*a^12*d*e^6 - 914358272*a^11*b^6*c*e^4 - 179306496*a^11*b^6*d^2*e^3 - 924844032*a^11*b^5*c^2*d*e^3 + 
    135266304*a^11*b^5*c*d^3*e^2 - 27525120*a^11*b^5*d^5*e + 20707278848*a^11*b^5*e^5 - 1481637888*a^11*b^4*c^4*e^3 + 
    1170210816*a^11*b^4*c^3*d^2*e^2 - 219938816*a^11*b^4*c^2*d^4*e + 9175040*a^11*b^4*c*d^6 + 67956113408*a^11*b^4*c*d*e^4 + 
    1368391680*a^11*b^4*d^3*e^3 + 379584512*a^11*b^3*c^5*d*e^2 - 251133952*a^11*b^3*c^4*d^3*e + 34340864*a^11*b^3*c^3*d^5 + 
    69214404608*a^11*b^3*c^3*e^4 - 57864617984*a^11*b^3*c^2*d^2*e^3 + 13269729280*a^11*b^3*c*d^4*e^2 + 
    47448064*a^11*b^3*d^6*e - 672942522368*a^11*b^3*d*e^5 - 201326592*a^11*b^2*c^7*e^2 + 105381888*a^11*b^2*c^6*d^2*e - 
    15728640*a^11*b^2*c^5*d^4 - 15187574784*a^11*b^2*c^4*d*e^3 + 16080961536*a^11*b^2*c^3*d^3*e^2 - 
    2965110784*a^11*b^2*c^2*d^5*e - 702000660480*a^11*b^2*c^2*e^5 + 124780544*a^11*b^2*c*d^7 + 
    2069301821440*a^11*b^2*c*d^2*e^4 - 306838503424*a^11*b^2*d^4*e^3 + 25165824*a^11*b*c^8*d*e - 5767168*a^11*b*c^7*d^3 + 
    6408896512*a^11*b*c^6*e^3 - 11301552128*a^11*b*c^5*d^2*e^2 - 338427904*a^11*b*c^4*d^4*e + 369098752*a^11*b*c^3*d^6 + 
    536711528448*a^11*b*c^3*d*e^4 - 747001348096*a^11*b*c^2*d^3*e^3 + 232304672768*a^11*b*c*d^5*e^2 - 
    983446847488*a^11*b*c*e^6 - 16528703488*a^11*b*d^7*e - 68442652672*a^11*b*d^2*e^5 - 4194304*a^11*c^10*e + 
    1048576*a^11*c^9*d^2 - 2248146944*a^11*c^7*d*e^2 + 2993684480*a^11*c^6*d^3*e - 568852480*a^11*c^5*d^5 - 
    46137344000*a^11*c^5*e^4 + 67891101696*a^11*c^4*d^2*e^3 - 79821799424*a^11*c^3*d^4*e^2 + 16871325696*a^11*c^2*d^6*e + 
    2092336939008*a^11*c^2*d*e^5 - 827326464*a^11*c*d^8 - 218221248512*a^11*c*d^3*e^4 + 64582844416*a^11*d^5*e^3 - 
    693821767680*a^11*e^7 + 85721088*a^10*b^8*e^4 + 354418688*a^10*b^7*c*d*e^3 + 4718592*a^10*b^7*d^3*e^2 + 
    817889280*a^10*b^6*c^3*e^3 - 357040128*a^10*b^6*c^2*d^2*e^2 + 55181312*a^10*b^6*c*d^4*e - 16119758848*a^10*b^6*d*e^4 - 
    296484864*a^10*b^5*c^4*d*e^2 + 121634816*a^10*b^5*c^3*d^3*e - 9961472*a^10*b^5*c^2*d^5 - 50497323008*a^10*b^5*c^2*e^4 + 
    2018508800*a^10*b^5*c*d^2*e^3 - 2602565632*a^10*b^5*d^4*e^2 + 216793088*a^10*b^4*c^6*e^2 - 71827456*a^10*b^4*c^5*d^2*e + 
    8978432*a^10*b^4*c^4*d^4 + 8879341568*a^10*b^4*c^3*d*e^3 - 1456209920*a^10*b^4*c^2*d^3*e^2 - 1178861568*a^10*b^4*c*d^5*e 
    + 841016672256*a^10*b^4*c*e^5 - 26935296*a^10*b^4*d^7 - 70877446144*a^10*b^4*d^2*e^4 - 51904512*a^10*b^3*c^7*d*e + 
    11796480*a^10*b^3*c^6*d^3 - 12857638912*a^10*b^3*c^5*e^3 + 16493576192*a^10*b^3*c^4*d^2*e^2 - 
    1707081728*a^10*b^3*c^3*d^4*e + 22806528*a^10*b^3*c^2*d^6 - 634573029376*a^10*b^3*c^2*d*e^4 - 
    320612597760*a^10*b^3*c*d^3*e^3 + 59253456896*a^10*b^3*d^5*e^2 - 3915055628288*a^10*b^3*e^6 + 9437184*a^10*b^2*c^9*e - 
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    54470770688000*a^2*c^3*d^5*e^3 - 241049600000000*a^2*c^3*e^7 + 58777809715200*a^2*c^2*d^7*e^2 + 
    243650560000000*a^2*c^2*d^2*e^6 - 12992622100480*a^2*c*d^9*e - 623222784000000*a^2*c*d^4*e^5 - 50465865728*a^2*d^11 - 
    106705715200000*a^2*d^6*e^4 + 15360000000000*a^2*d*e^8 - 3882240*a*b^16*c*e^2 - 23040*a*b^16*d^2*e + 
    3011840*a*b^15*c^2*d*e - 1208320*a*b^15*c*d^3 + 23819904*a*b^15*e^3 - 705280*a*b^14*c^4*e + 509440*a*b^14*c^3*d^2 - 
    1271580928*a*b^14*c*d*e^2 + 36081664*a*b^14*d^3*e - 52480*a*b^13*c^5*d + 218357760*a*b^13*c^3*e^2 + 
    781623296*a*b^13*c^2*d^2*e - 187645952*a*b^13*c*d^4 - 1757122048*a*b^13*d*e^3 - 299961984*a*b^12*c^4*d*e + 
    72884224*a*b^12*c^3*d^3 - 14607836544*a*b^12*c^2*e^3 - 22280737792*a*b^12*c*d^2*e^2 - 96911360*a*b^12*d^4*e + 
    27299840*a*b^11*c^6*e - 4586496*a*b^11*c^5*d^2 + 11203180544*a*b^11*c^3*d*e^2 + 14287794176*a*b^11*c^2*d^3*e - 
    3578200064*a*b^11*c*d^5 + 146069238784*a*b^11*c*e^4 - 141758167040*a*b^11*d^2*e^3 - 499712*a*b^10*c^7*d - 
    1961652224*a*b^10*c^5*e^2 - 5447387136*a*b^10*c^4*d^2*e + 1234100224*a*b^10*c^3*d^4 - 247546260480*a*b^10*c^2*d*e^3 - 
    13392646144*a*b^10*c*d^3*e^2 - 13184729088*a*b^10*d^5*e - 220995486720*a*b^10*e^5 + 735540224*a*b^9*c^6*d*e - 
    74383360*a*b^9*c^5*d^3 - 90846674944*a*b^9*c^4*e^3 + 35584552960*a*b^9*c^3*d^2*e^2 + 56559632384*a*b^9*c^2*d^4*e - 
    16078077952*a*b^9*c*d^6 - 3129979985920*a*b^9*c*d*e^4 + 2040632287232*a*b^9*d^3*e^3 - 47894528*a*b^8*c^8*e - 
    4702208*a*b^8*c^7*d^2 + 61357447168*a*b^8*c^5*d*e^2 + 8810696704*a*b^8*c^4*d^3*e - 5477761024*a*b^8*c^3*d^5 + 
    2679406919680*a*b^8*c^3*e^4 - 1921663768576*a*b^8*c^2*d^2*e^3 - 1448050245632*a*b^8*c*d^4*e^2 + 212440449024*a*b^8*d^6*e 
    + 8833710336000*a*b^8*d*e^5 + 163840*a*b^7*c^9*d - 16881614848*a*b^7*c^7*e^2 - 20293419008*a*b^7*c^6*d^2*e + 
    5992120320*a*b^7*c^5*d^4 - 2561849393152*a*b^7*c^4*d*e^3 + 2569371779072*a*b^7*c^3*d^3*e^2 - 416102023168*a*b^7*c^2*d^5*e
    - 10578024448000*a*b^7*c^2*e^5 - 5181014016*a*b^7*c*d^7 + 23252126105600*a*b^7*c*d^2*e^4 + 596534067200*a*b^7*d^4*e^3 + 
    6623952896*a*b^6*c^8*d*e - 1332346880*a*b^6*c^7*d^3 + 36246224896*a*b^6*c^6*e^3 - 19027230720*a*b^6*c^5*d^2*e^2 + 
    67803906048*a*b^6*c^4*d^4*e - 21428568064*a*b^6*c^3*d^6 - 36924412723200*a*b^6*c^3*d*e^4 - 
    9925925765120*a*b^6*c^2*d^3*e^3 - 2416572563456*a*b^6*c*d^5*e^2 + 951500800000*a*b^6*c*e^6 + 426530308096*a*b^6*d^7*e - 
    59984445440000*a*b^6*d^2*e^5 - 658767872*a*b^5*c^10*e + 60817408*a*b^5*c^9*d^2 + 27158642688*a*b^5*c^7*d*e^2 - 
    34592653312*a*b^5*c^6*d^3*e - 830275584*a*b^5*c^5*d^5 + 16311393320960*a*b^5*c^5*e^4 + 16331463557120*a*b^5*c^4*d^2*e^3 -
    1045836464128*a*b^5*c^3*d^4*e^2 + 2553034047488*a*b^5*c^2*d^6*e + 289420144640000*a*b^5*c^2*d*e^5 - 
    604042690560*a*b^5*c*d^8 + 4265672704000*a*b^5*c*d^3*e^4 - 14770001018880*a*b^5*d^5*e^3 + 58477056000000*a*b^5*e^7 + 
    9175040*a*b^4*c^11*d - 27922268160*a*b^4*c^9*e^2 + 12367167488*a*b^4*c^8*d^2*e + 5014159360*a*b^4*c^7*d^4 - 
    16831325470720*a*b^4*c^6*d*e^3 + 7181173194752*a*b^4*c^5*d^3*e^2 - 4408977293312*a*b^4*c^4*d^5*e - 
    127870771200000*a*b^4*c^4*e^5 + 871322615808*a*b^4*c^3*d^7 - 182699704320000*a*b^4*c^3*d^2*e^4 + 
    122368000000*a*b^4*c^2*d^4*e^3 + 12017169858560*a*b^4*c*d^6*e^2 - 697976832000000*a*b^4*c*d*e^6 - 
    3029415755776*a*b^4*d^8*e + 262250291200000*a*b^4*d^3*e^5 + 1270087680*a*b^3*c^10*d*e - 1607729152*a*b^3*c^9*d^3 + 
    1800410234880*a*b^3*c^8*e^3 + 208530571264*a*b^3*c^7*d^2*e^2 + 692095287296*a*b^3*c^6*d^4*e - 324732190720*a*b^3*c^5*d^6 
    + 56324161536000*a*b^3*c^5*d*e^4 + 68542103552000*a*b^3*c^4*d^3*e^3 + 8996228956160*a*b^3*c^3*d^5*e^2 + 
    398757888000000*a*b^3*c^3*e^6 - 1703523909632*a*b^3*c^2*d^7*e + 546076262400000*a*b^3*c^2*d^2*e^5 + 
    361767108608*a*b^3*c*d^9 - 514961408000000*a*b^3*c*d^4*e^4 + 1028063232000*a*b^3*d^6*e^3 + 60313600000000*a*b^3*d*e^7 - 
    368050176*a*b^2*c^12*e + 124780544*a*b^2*c^11*d^2 - 383023316992*a*b^2*c^9*d*e^2 + 259524395008*a*b^2*c^8*d^3*e + 
    20513292288*a*b^2*c^7*d^5 + 13923909632000*a*b^2*c^7*e^4 - 25220572774400*a*b^2*c^6*d^2*e^3 - 
    26820319641600*a*b^2*c^5*d^4*e^2 + 730470547456*a*b^2*c^4*d^6*e - 69079859200000*a*b^2*c^4*d*e^5 + 
    647745241088*a*b^2*c^3*d^8 - 449160806400000*a*b^2*c^3*d^3*e^4 + 468660158464000*a*b^2*c^2*d^5*e^3 - 
    650956800000000*a*b^2*c^2*e^7 - 39931530444800*a*b^2*c*d^7*e^2 + 744284160000000*a*b^2*c*d^2*e^6 + 
    1689046220800*a*b^2*d^9*e - 431042560000000*a*b^2*d^4*e^5 + 9437184*a*b*c^13*d + 15717629952*a*b*c^11*e^2 - 
    77312819200*a*b*c^10*d^2*e + 6692012032*a*b*c^9*d^4 - 13477458739200*a*b*c^8*d*e^3 + 21428992737280*a*b*c^7*d^3*e^2 - 
    2195625082880*a*b*c^6*d^5*e - 119068262400000*a*b*c^6*e^5 - 306291146752*a*b*c^5*d^7 + 138819010560000*a*b*c^5*d^2*e^4 + 
    70001295360000*a*b*c^4*d^4*e^3 - 135838328422400*a*b*c^3*d^6*e^2 + 155156480000000*a*b*c^3*d*e^6 + 
    19084880117760*a*b*c^2*d^8*e - 682156032000000*a*b*c^2*d^3*e^5 + 624984850432*a*b*c*d^10 + 426501734400000*a*b*c*d^5*e^4 
    + 317440000000000*a*b*c*e^8 + 71972945920000*a*b*d^7*e^3 - 93184000000000*a*b*d^2*e^7 + 6396051456*a*c^12*d*e - 
    827326464*a*c^11*d^3 + 2045993287680*a*c^10*e^3 - 3025618862080*a*c^9*d^2*e^2 + 435874168832*a*c^8*d^4*e + 
    28397535232*a*c^7*d^6 + 57015664640000*a*c^7*d*e^4 - 108835864576000*a*c^6*d^3*e^3 + 65736128593920*a*c^5*d^5*e^2 + 
    111108096000000*a*c^5*e^6 - 9804563087360*a*c^4*d^7*e - 211816448000000*a*c^4*d^2*e^5 - 21743271936*a*c^3*d^9 + 
    380744499200000*a*c^3*d^4*e^4 - 195850731520000*a*c^2*d^6*e^3 + 105984000000000*a*c^2*d*e^7 - 9373745152000*a*c*d^8*e^2 -
    14745600000000*a*c*d^3*e^6 + 7425092485120*a*d^10*e + 431398912000000*a*d^5*e^5 + 12800000000000*a*e^9 + 207360*b^18*e^2 
    - 161280*b^17*c*d*e + 61440*b^17*d^3 + 38400*b^16*c^3*e - 25600*b^16*c^2*d^2 + 65963520*b^16*d*e^2 + 2560*b^15*c^4*d - 
    11249280*b^15*c^2*e^2 - 44093440*b^15*c*d^2*e + 9994240*b^15*d^4 + 16992640*b^14*c^3*d*e - 3788800*b^14*c^2*d^3 + 
    937307520*b^14*c*e^3 + 1610055680*b^14*d^2*e^2 - 1563520*b^13*c^5*e + 172800*b^13*c^4*d^2 - 882201600*b^13*c^2*d*e^2 - 
    999587840*b^13*c*d^3*e + 256245760*b^13*d^5 - 10849019136*b^13*e^4 + 37760*b^12*c^6*d + 157306240*b^12*c^4*e^2 + 
    446353920*b^12*c^3*d^2*e - 112148480*b^12*c^2*d^4 + 23871320576*b^12*c*d*e^3 + 9074638848*b^12*d^3*e^2 - 
    77122560*b^11*c^5*d*e + 17776640*b^11*c^4*d^3 + 6095956992*b^11*c^3*e^3 - 6507366400*b^11*c^2*d^2*e^2 - 
    4670816256*b^11*c*d^4*e + 1386741760*b^11*d^6 + 226401714176*b^11*d*e^4 + 6046720*b^10*c^7*e - 1955840*b^10*c^6*d^2 - 
    5132669952*b^10*c^4*d*e^2 - 1296836608*b^10*c^3*d^3*e + 666828800*b^10*c^2*d^5 - 232731149312*b^10*c^2*e^4 - 
    73544427520*b^10*c*d^2*e^3 - 95877595136*b^10*d^4*e^2 + 138240*b^9*c^8*d + 1575917568*b^9*c^6*e^2 + 
    2733186048*b^9*c^5*d^2*e - 836096000*b^9*c^4*d^4 + 362474076160*b^9*c^3*d*e^3 + 136681570304*b^9*c^2*d^3*e^2 + 
    82433015808*b^9*c*d^5*e + 677726336000*b^9*c*e^5 - 15011414016*b^9*d^7 - 1203677286400*b^9*d^2*e^4 - 
    941480960*b^8*c^7*d*e + 246517760*b^8*c^6*d^3 - 22131223552*b^8*c^5*e^3 - 211357181952*b^8*c^4*d^2*e^2 - 
    125192429568*b^8*c^3*d^4*e + 29973807104*b^8*c^2*d^6 + 2714216294400*b^8*c^2*d*e^4 - 2630608936960*b^8*c*d^3*e^3 - 
    99861397504*b^8*d^5*e^2 + 2223513600000*b^8*e^6 + 97648640*b^7*c^9*e - 24821760*b^7*c^8*d^2 + 43381850112*b^7*c^6*d*e^2 +
    87770480640*b^7*c^5*d^3*e - 17453547520*b^7*c^4*d^5 - 1644432588800*b^7*c^4*e^4 + 1622332211200*b^7*c^3*d^2*e^3 + 
    3339389009920*b^7*c^2*d^4*e^2 - 394393550848*b^7*c*d^6*e - 20949534720000*b^7*c*d*e^5 - 26952597504*b^7*d^8 + 
    8605057024000*b^7*d^3*e^4 - 141950976*b^6*c^8*e^2 - 25900515328*b^6*c^7*d^2*e + 4100358144*b^6*c^6*d^4 + 
    1229555187712*b^6*c^5*d*e^3 - 4095685591040*b^6*c^4*d^3*e^2 - 138802069504*b^6*c^3*d^5*e + 12882380800000*b^6*c^3*e^5 + 
    190095294464*b^6*c^2*d^7 - 15669116928000*b^6*c^2*d^2*e^4 - 7089945804800*b^6*c*d^4*e^3 + 1254247890944*b^6*d^6*e^2 - 
    19330252800000*b^6*d*e^6 + 2815295488*b^5*c^9*d*e - 245628928*b^5*c^8*d^3 - 183532847104*b^5*c^7*e^3 + 
    1071072378880*b^5*c^6*d^2*e^2 + 857485410304*b^5*c^5*d^4*e - 250878558208*b^5*c^4*d^6 + 12623908864000*b^5*c^4*d*e^4 + 
    23194148864000*b^5*c^3*d^3*e^3 - 923409317888*b^5*c^2*d^5*e^2 - 1675366400000*b^5*c^2*e^6 - 891499315200*b^5*c*d^7*e + 
    146576486400000*b^5*c*d^2*e^5 + 186461978624*b^5*d^9 - 57034629120000*b^5*d^4*e^4 - 60555264*b^4*c^11*e - 
    26935296*b^4*c^10*d^2 - 103347322880*b^4*c^8*d*e^2 - 502713122816*b^4*c^7*d^3*e + 134772129792*b^4*c^6*d^5 - 
    5316378624000*b^4*c^6*e^4 - 18626328166400*b^4*c^5*d^2*e^3 - 4488651571200*b^4*c^4*d^4*e^2 + 999339458560*b^4*c^3*d^6*e -
    232365056000000*b^4*c^3*d*e^5 - 88176852992*b^4*c^2*d^8 - 20373708800000*b^4*c^2*d^3*e^4 + 85361672192000*b^4*c*d^5*e^3 -
    87910400000000*b^4*c*e^7 - 3643591884800*b^4*d^7*e^2 + 71311360000000*b^4*d^2*e^6 + 1048576*b^3*c^12*d + 
    6352011264*b^3*c^10*e^2 + 124302655488*b^3*c^9*d^2*e - 36417306624*b^3*c^8*d^4 + 8814650982400*b^3*c^7*d*e^3 + 
    3067605155840*b^3*c^6*d^3*e^2 + 671477661696*b^3*c^5*d^5*e + 78313881600000*b^3*c^5*e^5 - 223990513664*b^3*c^4*d^7 + 
    178792038400000*b^3*c^4*d^2*e^4 - 104968192000000*b^3*c^3*d^4*e^3 - 29565793075200*b^3*c^2*d^6*e^2 + 
    648458240000000*b^3*c^2*d*e^6 + 5755507834880*b^3*c*d^8*e - 591712256000000*b^3*c*d^3*e^5 + 939524096*b^3*d^10 + 
    209695539200000*b^3*d^5*e^4 + 81920000000000*b^3*e^8 - 15281946624*b^2*c^11*d*e + 5268832256*b^2*c^10*d^3 - 
    1058557132800*b^2*c^9*e^3 - 2075577548800*b^2*c^8*d^2*e^2 - 323553853440*b^2*c^7*d^4*e + 144170811392*b^2*c^6*d^6 - 
    86816849920000*b^2*c^6*d*e^4 + 2982805504000*b^2*c^5*d^3*e^3 + 46642226790400*b^2*c^4*d^5*e^2 - 
    311521280000000*b^2*c^4*e^6 - 5700570316800*b^2*c^3*d^7*e - 234168320000000*b^2*c^3*d^2*e^5 - 511285657600*b^2*c^2*d^9 + 
    499798016000000*b^2*c^2*d^4*e^4 - 252583280640000*b^2*c*d^6*e^3 - 323072000000000*b^2*c*d*e^7 + 
    18400411648000*b^2*d^8*e^2 + 128614400000000*b^2*d^3*e^6 + 785645568*b*c^13*e - 370409472*b*c^12*d^2 + 
    535853531136*b*c^10*d*e^2 + 27888189440*b*c^9*d^3*e - 28670427136*b*c^8*d^5 + 6696960000000*b*c^8*e^4 + 
    21583265792000*b*c^7*d^2*e^3 - 23899196620800*b*c^6*d^4*e^2 + 3251616088064*b*c^5*d^6*e + 239592243200000*b*c^5*d*e^5 + 
    181262090240*b*c^4*d^8 - 143745024000000*b*c^4*d^3*e^4 - 69738496000000*b*c^3*d^5*e^3 + 509440000000000*b*c^3*e^7 + 
    79819177984000*b*c^2*d^7*e^2 - 504012800000000*b*c^2*d^2*e^6 - 12051913113600*b*c*d^9*e + 499077120000000*b*c*d^4*e^5 - 
    56639881216*b*d^11 - 228022681600000*b*d^6*e^4 - 87040000000000*b*d*e^8 + 7077888*c^14*d - 41469345792*c^12*e^2 + 
    306708480*c^11*d^2*e + 1872232448*c^10*d^4 - 3013574656000*c^9*d*e^3 + 3033890816000*c^8*d^3*e^2 - 484852891648*c^7*d^5*e
    - 3241574400000*c^7*e^5 - 13065256960*c^6*d^7 - 46197145600000*c^6*d^2*e^4 + 71338721280000*c^5*d^4*e^3 - 
    36078026752000*c^4*d^6*e^2 - 198553600000000*c^4*d*e^6 + 5320212480000*c^3*d^8*e + 314572800000000*c^3*d^3*e^5 - 
    50465865728*c^2*d^10 - 333130956800000*c^2*d^5*e^4 - 299520000000000*c^2*e^8 + 161893580800000*c*d^7*e^3 + 
    419840000000000*c*d^2*e^7 - 22166896640000*d^9*e^2 - 376832000000000*d^4*e^6
;
M[1][5,4] :=
                                -M[1][4,5];
M[2][4,5] :=
-30064771072*a^15*e^6 + 48855252992*a^14*b*d*e^5 + 138512695296*a^14*c^2*e^5 - 36373004288*a^14*c*d^2*e^4 + 
    2147483648*a^14*d^4*e^3 - 104555610112*a^13*b^2*c*e^5 - 22213033984*a^13*b^2*d^2*e^4 - 140660178944*a^13*b*c^2*d*e^4 + 
    32145145856*a^13*b*c*d^3*e^3 - 1572864000*a^13*b*d^5*e^2 + 302258323456*a^13*b*e^6 - 24696061952*a^13*c^4*e^4 + 
    78651588608*a^13*c^3*d^2*e^3 - 22548578304*a^13*c^2*d^4*e^2 + 1793064960*a^13*c*d^6*e - 276756955136*a^13*c*d*e^5 - 
    14155776*a^13*d^8 + 57780731904*a^13*d^3*e^4 + 17381195776*a^12*b^4*e^5 + 115024592896*a^12*b^3*c*d*e^4 + 
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    1113915654144*a^2*c^10*d^2*e - 224352010240*a^2*c^9*d^4 - 35635350732800*a^2*c^8*d*e^3 + 60714872995840*a^2*c^7*d^3*e^2 -
    39690522066944*a^2*c^6*d^5*e + 112537600000000*a^2*c^6*e^5 + 6247548715008*a^2*c^5*d^7 - 700809543680000*a^2*c^5*d^2*e^4 
    + 646897500160000*a^2*c^4*d^4*e^3 - 230225975705600*a^2*c^3*d^6*e^2 - 456826880000000*a^2*c^3*d*e^6 + 
    83527564001280*a^2*c^2*d^8*e - 768086016000000*a^2*c^2*d^3*e^5 - 11929080823808*a^2*c*d^10 - 82609766400000*a^2*c*d^5*e^4
    + 102400000000000*a^2*c*e^8 - 72168898560000*a^2*d^7*e^3 + 38912000000000*a^2*d^2*e^7 + 2073600*a*b^17*e^2 + 
    111360*a*b^16*c*d*e + 273920*a*b^16*d^3 - 180480*a*b^15*c^3*e - 1201920*a*b^15*c^2*d^2 + 195335808*a*b^15*d*e^2 + 
    692480*a*b^14*c^4*d - 918537216*a*b^14*c^2*e^2 - 90160896*a*b^14*c*d^2*e + 34910208*a*b^14*d^4 - 104960*a*b^13*c^6 + 
    616987136*a*b^13*c^3*d*e - 163144704*a*b^13*c^2*d^3 - 47247164160*a*b^13*c*e^3 + 10345797120*a*b^13*d^2*e^2 - 
    131077888*a*b^12*c^5*e + 34325120*a*b^12*c^4*d^2 + 32280386176*a*b^12*c^2*d*e^2 - 12841509888*a*b^12*c*d^3*e + 
    1371783168*a*b^12*d^5 + 177369665280*a*b^12*e^4 + 4726784*a*b^11*c^6*d - 18717980672*a*b^11*c^4*e^2 + 
    2719004672*a*b^11*c^3*d^2*e - 151277568*a*b^11*c^2*d^4 - 672889071616*a*b^11*c*d*e^3 + 59121272832*a*b^11*d^3*e^2 - 
    999424*a*b^10*c^8 + 7263989760*a*b^10*c^5*d*e - 2006267904*a*b^10*c^4*d^3 - 265014917120*a*b^10*c^3*e^3 + 
    676351005696*a*b^10*c^2*d^2*e^2 - 109961965568*a*b^10*c*d^4*e + 6265962496*a*b^10*d^6 - 677069587456*a*b^10*d*e^4 - 
    1524240384*a*b^9*c^7*e + 596407296*a*b^9*c^6*d^2 - 54126845952*a*b^9*c^4*d*e^2 - 196054364160*a*b^9*c^3*d^3*e + 
    42039066624*a*b^9*c^2*d^5 + 3440530001920*a*b^9*c^2*e^4 + 1535731449856*a*b^9*c*d^2*e^3 - 268521840640*a*b^9*d^4*e^2 - 
    33433600*a*b^8*c^8*d - 75168036864*a*b^8*c^6*e^2 + 145802942464*a*b^8*c^5*d^2*e - 35751284736*a*b^8*c^4*d^4 - 
    11721691701248*a*b^8*c^3*d*e^3 + 3013334468608*a*b^8*c^2*d^3*e^2 + 245284716544*a*b^8*c*d^5*e - 
    26817794560000*a*b^8*c*e^5 - 43775426560*a*b^8*d^7 + 22880513075200*a*b^8*d^2*e^4 + 327680*a*b^7*c^10 - 
    1334575104*a*b^7*c^7*d*e + 1887240192*a*b^7*c^6*d^3 + 1591324016640*a*b^7*c^5*e^3 + 6537827745792*a*b^7*c^4*d^2*e^2 - 
    3297427521536*a*b^7*c^3*d^4*e + 460108267520*a*b^7*c^2*d^6 + 50506555801600*a*b^7*c^2*d*e^4 - 
    37431503749120*a*b^7*c*d^3*e^3 + 203115167744*a*b^7*d^5*e^2 + 28682444800000*a*b^7*e^6 - 3798663168*a*b^6*c^9*e + 
    1483046912*a*b^6*c^8*d^2 - 3045516443648*a*b^6*c^6*d*e^2 + 584321630208*a*b^6*c^5*d^3*e - 38319390720*a*b^6*c^4*d^5 - 
    7501257932800*a*b^6*c^4*e^4 - 9851607449600*a*b^6*c^3*d^2*e^3 + 21155372761088*a*b^6*c^2*d^4*e^2 - 
    1113885835264*a*b^6*c*d^6*e + 117053808640000*a*b^6*c*d*e^5 - 239317549056*a*b^6*d^8 - 116450811904000*a*b^6*d^3*e^4 - 
    212336640*a*b^5*c^10*d + 188385329152*a*b^5*c^8*e^2 + 650175381504*a*b^5*c^7*d^2*e - 174613200896*a*b^5*c^6*d^4 - 
    26856204664832*a*b^5*c^5*d*e^3 + 11151381856256*a*b^5*c^4*d^3*e^2 - 3369276538880*a*b^5*c^3*d^5*e - 
    201187450880000*a*b^5*c^3*e^5 + 670545739776*a*b^5*c^2*d^7 + 4760956928000*a*b^5*c^2*d^2*e^4 + 
    85897197977600*a*b^5*c*d^4*e^3 - 2059503796224*a*b^5*d^6*e^2 - 83935539200000*a*b^5*d*e^6 + 18350080*a*b^4*c^12 - 
    158963335168*a*b^4*c^9*d*e + 52463796224*a*b^4*c^8*d^3 + 7416753029120*a*b^4*c^7*e^3 + 12653126680576*a*b^4*c^6*d^2*e^2 -
    12075072094208*a*b^4*c^5*d^4*e + 2082991144960*a*b^4*c^4*d^6 + 493171343360000*a*b^4*c^4*d*e^4 - 
    269448970240000*a*b^4*c^3*d^3*e^3 + 20738901770240*a*b^4*c^2*d^5*e^2 + 870894592000000*a*b^4*c^2*e^6 - 
    6105686867968*a*b^4*c*d^7*e - 1119907430400000*a*b^4*c*d^2*e^5 + 903356612608*a*b^4*d^9 + 273881088000000*a*b^4*d^4*e^4 +
    7085752320*a*b^3*c^11*e - 4461428736*a*b^3*c^10*d^2 - 9248060735488*a*b^3*c^8*d*e^2 + 6913919025152*a*b^3*c^7*d^3*e - 
    1417969926144*a*b^3*c^6*d^5 - 140649758720000*a*b^3*c^6*e^4 - 191909055692800*a*b^3*c^5*d^2*e^3 + 
    200712473804800*a*b^3*c^4*d^4*e^2 - 26770369150976*a*b^3*c^3*d^6*e - 1334127820800000*a*b^3*c^3*d*e^5 + 
    2027397578752*a*b^3*c^2*d^8 + 1446341017600000*a*b^3*c^2*d^3*e^4 - 414187192320000*a*b^3*c*d^5*e^3 - 
    889856000000000*a*b^3*c*e^7 + 4273825382400*a*b^3*d^7*e^2 + 466718720000000*a*b^3*d^2*e^6 + 60817408*a*b^2*c^12*d + 
    1035416371200*a*b^2*c^10*e^2 - 221427793920*a*b^2*c^9*d^2*e + 129761542144*a*b^2*c^8*d^4 + 
    108767975833600*a*b^2*c^7*d*e^3 - 43919666053120*a*b^2*c^6*d^3*e^2 - 34547806765056*a*b^2*c^5*d^5*e + 
    306638028800000*a*b^2*c^5*e^5 + 6756248846336*a*b^2*c^4*d^7 + 732443443200000*a*b^2*c^4*d^2*e^4 - 
    883466895360000*a*b^2*c^3*d^4*e^3 + 355423335219200*a*b^2*c^2*d^6*e^2 + 148623360000000*a*b^2*c^2*d*e^6 - 
    7076383293440*a*b^2*c*d^8*e + 166944768000000*a*b^2*c*d^3*e^5 - 1537581514752*a*b^2*d^10 - 68546560000000*a*b^2*d^5*e^4 +
    250880000000000*a*b^2*e^8 + 18874368*a*b*c^14 - 221823107072*a*b*c^11*d*e + 30739791872*a*b*c^10*d^3 - 
    8020413644800*a*b*c^9*e^3 - 16654526054400*a*b*c^8*d^2*e^2 + 25463803609088*a*b*c^7*d^4*e - 4565081784320*a*b*c^6*d^6 - 
    235578818560000*a*b*c^6*d*e^4 - 68546002944000*a*b*c^5*d^3*e^3 + 261708670566400*a*b*c^4*d^5*e^2 - 
    75489280000000*a*b*c^4*e^6 - 166239535104000*a*b*c^3*d^7*e - 738304000000000*a*b*c^3*d^2*e^5 + 23348427882496*a*b*c^2*d^9
    + 619031756800000*a*b*c^2*d^4*e^4 - 42625925120000*a*b*c*d^6*e^3 + 431104000000000*a*b*c*d*e^7 + 
    64611418112000*a*b*d^8*e^2 + 15769600000000*a*b*d^3*e^6 + 20181417984*a*c^13*e - 3501981696*a*c^12*d^2 + 
    2395464269824*a*c^10*d*e^2 - 3158113255424*a*c^9*d^3*e + 599585718272*a*c^8*d^5 - 40434401280000*a*c^8*e^4 + 
    145452761088000*a*c^7*d^2*e^3 - 143989073510400*a*c^6*d^4*e^2 + 63356821569536*a*c^5*d^6*e - 48608051200000*a*c^5*d*e^5 -
    8606573395968*a*c^4*d^8 + 640682393600000*a*c^4*d^3*e^4 - 561477058560000*a*c^3*d^5*e^3 - 160768000000000*a*c^3*e^7 + 
    169522692096000*a*c^2*d^7*e^2 + 1073868800000000*a*c^2*d^2*e^6 - 48379514060800*a*c*d^9*e - 10403840000000*a*c*d^4*e^5 + 
    6693874302976*a*d^11 + 177846681600000*a*d^6*e^4 - 79360000000000*a*d*e^8 - 69120*b^18*d*e + 23040*b^17*c^2*e + 
    53760*b^17*c*d^2 - 33280*b^16*c^3*d + 45020160*b^16*c*e^2 - 468480*b^16*d^2*e + 5120*b^15*c^5 - 30879360*b^15*c^2*d*e + 
    7086080*b^15*c*d^3 + 2931022080*b^15*e^3 + 7006080*b^14*c^4*e - 1119360*b^14*c^3*d^2 - 2398968960*b^14*c*d*e^2 + 
    401756160*b^14*d^3*e - 455040*b^13*c^5*d + 1215060480*b^13*c^3*e^2 + 163371520*b^13*c^2*d^2*e - 48250880*b^13*c*d^4 + 
    19432274944*b^13*d*e^3 + 75520*b^12*c^7 - 556620160*b^12*c^4*d*e + 126906880*b^12*c^3*d^3 + 29567071360*b^12*c^2*e^3 - 
    24386092544*b^12*c*d^2*e^2 + 3652272128*b^12*d^4*e + 109235200*b^11*c^6*e - 28600320*b^11*c^5*d^2 - 
    13317731328*b^11*c^3*d*e^2 + 9386178560*b^11*c^2*d^3*e - 1919942656*b^11*c*d^5 - 213237273600*b^11*c*e^4 - 
    23817261056*b^11*d^2*e^3 - 957440*b^10*c^7*d + 8292915200*b^10*c^5*e^2 - 4285504512*b^10*c^4*d^2*e + 
    1508800512*b^10*c^3*d^4 + 799433075712*b^10*c^2*d*e^3 - 234527852544*b^10*c*d^3*e^2 - 10379788288*b^10*d^5*e + 
    928201574400*b^10*e^5 + 276480*b^9*c^9 - 2008819712*b^9*c^6*d*e + 109820928*b^9*c^5*d^3 - 61253575680*b^9*c^4*e^3 - 
    450851768320*b^9*c^3*d^2*e^2 + 253759594496*b^9*c^2*d^4*e - 28274327552*b^9*c*d^6 - 790679628800*b^9*c*d*e^4 - 
    2503374520320*b^9*d^3*e^3 + 514078720*b^8*c^8*e - 81607680*b^8*c^7*d^2 + 175838139392*b^8*c^5*d*e^2 - 
    63643107328*b^8*c^4*d^3*e - 2338119680*b^8*c^3*d^5 - 907723878400*b^8*c^3*e^4 + 65882613760*b^8*c^2*d^2*e^3 + 
    3905642045440*b^8*c*d^4*e^2 - 320701202432*b^8*d^6*e - 5338970880000*b^8*d*e^5 - 819200*b^7*c^9*d - 
    1051197440*b^7*c^7*e^2 - 31991332864*b^7*c^6*d^2*e + 17002053632*b^7*c^5*d^4 + 5545679339520*b^7*c^4*d*e^3 - 
    4719259484160*b^7*c^3*d^3*e^2 - 1383673331712*b^7*c^2*d^5*e + 21152235520000*b^7*c^2*e^5 + 289031585792*b^7*c*d^7 - 
    30871402496000*b^7*c*d^2*e^4 + 16133061017600*b^7*d^4*e^3 + 5246779392*b^6*c^8*d*e - 5654478848*b^6*c^7*d^3 - 
    1213848289280*b^6*c^6*e^3 - 1701281316864*b^6*c^5*d^2*e^2 + 3621908807680*b^6*c^4*d^4*e - 595153485824*b^6*c^3*d^6 - 
    31399720960000*b^6*c^3*d*e^4 + 39721676800000*b^6*c^2*d^3*e^3 - 23842181447680*b^6*c*d^5*e^2 - 43955200000000*b^6*c*e^6 +
    1966649376768*b^6*d^7*e + 23825715200000*b^6*d^2*e^5 + 338427904*b^5*c^10*e + 837550080*b^5*c^9*d^2 + 
    1389148438528*b^5*c^7*d*e^2 - 1727910805504*b^5*c^6*d^3*e + 268689670144*b^5*c^5*d^5 + 11109969100800*b^5*c^5*e^4 - 
    8077076070400*b^5*c^4*d^2*e^3 + 1255352238080*b^5*c^3*d^4*e^2 + 7431416315904*b^5*c^2*d^6*e - 
    67931033600000*b^5*c^2*d*e^5 - 1084458270720*b^5*c*d^8 + 175691509760000*b^5*c*d^3*e^4 - 45903504998400*b^5*d^5*e^3 + 
    28654080000000*b^5*e^7 - 84672512*b^4*c^11*d - 155745648640*b^4*c^9*e^2 + 195034152960*b^4*c^8*d^2*e - 
    3936387072*b^4*c^7*d^4 + 5180216115200*b^4*c^6*d*e^3 - 665438289920*b^4*c^5*d^3*e^2 - 8957951180800*b^4*c^4*d^5*e + 
    70624256000000*b^4*c^4*e^5 + 1257236725760*b^4*c^3*d^7 - 52061593600000*b^4*c^3*d^2*e^4 - 171980001280000*b^4*c^2*d^4*e^3
    + 87765821030400*b^4*c*d^6*e^2 + 70737920000000*b^4*c*d*e^6 - 5167739043840*b^4*d^8*e - 36017152000000*b^4*d^3*e^5 + 
    2097152*b^3*c^13 + 11960844288*b^3*c^10*d*e - 17009475584*b^3*c^9*d^3 - 1949689446400*b^3*c^8*e^3 - 
    3921624432640*b^3*c^7*d^2*e^2 + 9515832442880*b^3*c^6*d^4*e - 1492975878144*b^3*c^5*d^6 - 174344929280000*b^3*c^5*d*e^4 +
    262875217920000*b^3*c^4*d^3*e^3 - 65006226636800*b^3*c^3*d^5*e^2 - 447549440000000*b^3*c^3*e^6 - 
    26866213191680*b^3*c^2*d^7*e + 963342336000000*b^3*c^2*d^2*e^5 + 4515419914240*b^3*c*d^9 - 437624832000000*b^3*c*d^4*e^4 
    + 86172631040000*b^3*d^6*e^3 - 12288000000000*b^3*d*e^7 - 1763966976*b^2*c^12*e + 3620208640*b^2*c^11*d^2 + 
    2682507755520*b^2*c^9*d*e^2 - 4688982835200*b^2*c^8*d^3*e + 820972093440*b^2*c^7*d^5 + 56712888320000*b^2*c^7*e^4 - 
    2224848896000*b^2*c^6*d^2*e^3 - 88916452966400*b^2*c^5*d^4*e^2 + 65903063203840*b^2*c^4*d^6*e + 
    442683392000000*b^2*c^4*d*e^5 - 9489840865280*b^2*c^3*d^8 - 1143201792000000*b^2*c^3*d^3*e^4 + 
    683847024640000*b^2*c^2*d^5*e^3 + 684032000000000*b^2*c^2*e^7 - 184085839872000*b^2*c*d^7*e^2 - 
    792473600000000*b^2*c*d^2*e^6 + 9090315059200*b^2*d^9*e + 113704960000000*b^2*d^4*e^5 - 351535104*b*c^13*d - 
    342601236480*b*c^11*e^2 + 862593482752*b*c^10*d^2*e - 169189048320*b*c^9*d^4 - 35632906240000*b*c^8*d*e^3 + 
    53514567680000*b*c^7*d^3*e^2 - 29939036323840*b*c^6*d^5*e - 184229888000000*b*c^6*e^5 + 4385179172864*b*c^5*d^7 + 
    198037504000000*b*c^5*d^2*e^4 + 147722240000000*b*c^4*d^4*e^3 - 203874959360000*b*c^3*d^6*e^2 - 
    56832000000000*b*c^3*d*e^6 + 86010232832000*b*c^2*d^8*e + 388915200000000*b*c^2*d^3*e^5 - 10475861442560*b*c*d^10 - 
    107163648000000*b*c*d^5*e^4 - 384000000000000*b*c*e^8 - 66545254400000*b*d^7*e^3 + 97280000000000*b*d^2*e^7 + 
    14155776*c^15 - 49731600384*c^12*d*e + 11147935744*c^11*d^3 + 4202817126400*c^10*e^3 - 5965473382400*c^9*d^2*e^2 + 
    3398623559680*c^8*d^4*e - 525778812928*c^7*d^6 + 84081868800000*c^7*d*e^4 - 158258135040000*c^6*d^3*e^3 + 
    109760485785600*c^5*d^5*e^2 + 158433280000000*c^5*e^6 - 36055469260800*c^4*d^7*e - 362967040000000*c^4*d^2*e^5 + 
    4202178805760*c^3*d^9 + 145276928000000*c^3*d^4*e^4 - 45267353600000*c^2*d^6*e^3 - 186880000000000*c^2*d*e^7 + 
    39807877120000*c*d^8*e^2 - 149504000000000*c*d^3*e^6 - 7208330854400*d^10*e - 103997440000000*d^5*e^5 + 
    64000000000000*e^9
;
M[2][5,4] :=
                                -M[2][4,5];
M[3][4,5] :=
7516192768*a^15*d*e^5 + 46170898432*a^14*b*c*e^5 - 21273509888*a^14*b*d^2*e^4 - 7784628224*a^14*c^2*d*e^4 + 
    134217728*a^14*c*d^3*e^3 + 75497472*a^14*d^5*e^2 - 522912268288*a^14*e^6 - 17783848960*a^13*b^3*e^5 - 
    37648072704*a^13*b^2*c*d*e^4 + 16525557760*a^13*b^2*d^3*e^3 - 6979321856*a^13*b*c^3*e^4 + 42614128640*a^13*b*c^2*d^2*e^3 
    - 10104078336*a^13*b*c*d^4*e^2 + 726663168*a^13*b*d^6*e + 777523298304*a^13*b*d*e^5 - 1207959552*a^13*c^4*d*e^3 - 
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    30584166912*a*b^13*c*d*e^2 + 1104488448*a*b^13*d^3*e + 4189312*a*b^12*c^5*d - 11266982016*a*b^12*c^3*e^2 + 
    17902826496*a*b^12*c^2*d^2*e - 3968258048*a*b^12*c*d^4 - 236080727040*a*b^12*d*e^3 - 999424*a*b^11*c^7 + 
    2837834752*a*b^11*c^4*d*e - 828856320*a*b^11*c^3*d^3 + 342272635904*a*b^11*c^2*e^3 - 66519453696*a*b^11*c*d^2*e^2 - 
    22445334528*a*b^11*d^4*e - 1382177792*a*b^10*c^6*e + 544366592*a*b^10*c^5*d^2 - 462940916736*a*b^10*c^3*d*e^2 + 
    182916573184*a*b^10*c^2*d^3*e - 27599945728*a*b^10*c*d^5 - 4565848042496*a*b^10*c*e^4 + 3507059701760*a*b^10*d^2*e^3 - 
    33408000*a*b^9*c^7*d + 11206080512*a*b^9*c^5*e^2 + 109954976768*a*b^9*c^4*d^2*e - 29427736576*a*b^9*c^3*d^4 - 
    2606651152384*a*b^9*c^2*d*e^3 - 1736848965632*a*b^9*c*d^3*e^2 + 360931557376*a*b^9*d^5*e + 6305271936000*a*b^9*e^5 + 
    327680*a*b^8*c^9 - 18570005504*a*b^8*c^6*d*e + 6116167680*a*b^8*c^5*d^3 + 3346623828992*a*b^8*c^4*e^3 + 
    1280166426624*a*b^8*c^3*d^2*e^2 - 980385447936*a*b^8*c^2*d^4*e + 88762679296*a*b^8*c*d^6 + 39888388044800*a*b^8*c*d*e^4 -
    16525479526400*a*b^8*d^3*e^3 - 2178547712*a*b^7*c^8*e + 983810048*a*b^7*c^7*d^2 - 3650512060416*a*b^7*c^5*d*e^2 + 
    1967937044480*a*b^7*c^4*d^3*e - 307341099008*a*b^7*c^3*d^5 - 73819004108800*a*b^7*c^3*e^4 + 
    17402418626560*a*b^7*c^2*d^2*e^3 + 8126588616704*a*b^7*c*d^4*e^2 - 1432722735104*a*b^7*d^6*e - 15328020480000*a*b^7*d*e^5
    - 203161600*a*b^6*c^9*d + 475217002496*a*b^6*c^7*e^2 + 103143145472*a*b^6*c^6*d^2*e - 53348892672*a*b^6*c^5*d^4 + 
    33696818872320*a*b^6*c^4*d*e^3 - 30186987159552*a*b^6*c^3*d^3*e^2 + 7148366954496*a*b^6*c^2*d^5*e + 
    292954900480000*a*b^6*c^2*e^5 - 667927445504*a*b^6*c*d^7 - 224086605824000*a*b^6*c*d^2*e^4 + 90979805593600*a*b^6*d^4*e^3
    + 18350080*a*b^5*c^11 - 124103163904*a*b^5*c^8*d*e + 42033807360*a*b^5*c^7*d^3 + 4113109024768*a*b^5*c^6*e^3 + 
    3251395854336*a*b^5*c^5*d^2*e^2 - 2420034371584*a*b^5*c^4*d^4*e + 368818520064*a*b^5*c^3*d^6 + 
    25451917312000*a*b^5*c^3*d*e^4 - 3896411750400*a*b^5*c^2*d^3*e^3 - 74890550575104*a*b^5*c*d^5*e^2 - 
    330628403200000*a*b^5*c*e^6 + 7742588190720*a*b^5*d^7*e - 91198771200000*a*b^5*d^2*e^5 + 7048527872*a*b^4*c^10*e - 
    4364828672*a*b^4*c^9*d^2 - 8316756230144*a*b^4*c^7*d*e^2 + 5448088125440*a*b^4*c^6*d^3*e - 1064687861760*a*b^4*c^5*d^5 - 
    259812859904000*a*b^4*c^5*e^4 + 52240019456000*a*b^4*c^4*d^2*e^3 + 106855868825600*a*b^4*c^3*d^4*e^2 - 
    7065566445568*a*b^4*c^2*d^6*e - 323159654400000*a*b^4*c^2*d*e^5 - 1084427862016*a*b^4*c*d^8 + 
    1051878400000000*a*b^4*c*d^3*e^4 - 371955171328000*a*b^4*d^5*e^3 + 139929600000000*a*b^4*e^7 + 69206016*a*b^3*c^11*d + 
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    - 153625637683200*a*b^3*c^5*d^3*e^2 + 6247385923584*a*b^3*c^4*d^5*e + 1544557363200000*a*b^3*c^4*e^5 + 
    1876758626304*a*b^3*c^3*d^7 - 1320006451200000*a*b^3*c^3*d^2*e^4 - 360686059520000*a*b^3*c^2*d^4*e^3 + 
    375245085081600*a*b^3*c*d^6*e^2 - 772792320000000*a*b^3*c*d*e^6 - 31562504601600*a*b^3*d^8*e + 
    231567360000000*a*b^3*d^3*e^5 + 18874368*a*b^2*c^13 - 211896238080*a*b^2*c^10*d*e + 27554742272*a*b^2*c^9*d^3 - 
    22867954892800*a*b^2*c^8*e^3 - 12317310320640*a*b^2*c^7*d^2*e^2 + 28176022503424*a*b^2*c^6*d^4*e - 
    5096988999680*a*b^2*c^5*d^6 - 1344366510080000*a*b^2*c^5*d*e^4 + 1508312678400000*a*b^2*c^4*d^3*e^3 - 
    361359153561600*a*b^2*c^3*d^5*e^2 - 3234631680000000*a*b^2*c^3*e^6 - 65113206292480*a*b^2*c^2*d^7*e + 
    5562064896000000*a*b^2*c^2*d^2*e^5 + 14935862018048*a*b^2*c*d^9 - 3062016409600000*a*b^2*c*d^4*e^4 + 
    633108234240000*a*b^2*d^6*e^3 + 435712000000000*a*b^2*d*e^7 + 21722038272*a*b*c^12*e - 3719036928*a*b*c^11*d^2 + 
    6143712952320*a*b*c^9*d*e^2 - 6306097528832*a*b*c^8*d^3*e + 1123241689088*a*b*c^7*d^5 + 3353313280000*a*b*c^7*e^4 + 
    337821925376000*a*b*c^6*d^2*e^3 - 463718934118400*a*b*c^5*d^4*e^2 + 197853271818240*a*b*c^4*d^6*e + 
    2990968832000000*a*b*c^4*d*e^5 - 24841975496704*a*b*c^3*d^8 - 5152535347200000*a*b*c^3*d^3*e^4 + 
    3065025986560000*a*b*c^2*d^5*e^3 + 2134528000000000*a*b*c^2*e^7 - 738559787008000*a*b*c*d^7*e^2 - 
    1740390400000000*a*b*c*d^2*e^6 + 48094196531200*a*b*d^9*e + 598364160000000*a*b*d^4*e^5 - 7077888*a*c^13*d - 
    186245185536*a*c^11*e^2 + 215889739776*a*c^10*d^2*e - 41266184192*a*c^9*d^4 - 39405846528000*a*c^8*d*e^3 + 
    52826347929600*a*c^7*d^3*e^2 - 22178827075584*a*c^6*d^5*e + 145620172800000*a*c^6*e^5 + 2833925537792*a*c^5*d^7 - 
    1307445657600000*a*c^5*d^2*e^4 + 2003911475200000*a*c^4*d^4*e^3 - 1214436540416000*a*c^3*d^6*e^2 - 
    812748800000000*a*c^3*d*e^6 + 323765351219200*a*c^2*d^8*e + 117391360000000*a*c^2*d^3*e^5 - 31154266701824*a*c*d^10 + 
    413694361600000*a*c*d^5*e^4 - 335360000000000*a*c*e^8 - 138241638400000*a*d^7*e^3 + 71680000000000*a*d^2*e^7 + 
    46080*b^18*d^2 - 30720*b^17*c^2*d + 72714240*b^17*e^2 + 5120*b^16*c^4 - 48276480*b^16*c*d*e + 11079680*b^16*d^3 + 
    10705920*b^15*c^3*e - 2223360*b^15*c^2*d^2 + 1286419200*b^15*d*e^2 - 417280*b^14*c^4*d + 772460160*b^14*c^2*e^2 - 
    928988160*b^14*c*d^2*e + 215777280*b^14*d^4 + 75520*b^13*c^6 - 255449600*b^13*c^3*d*e + 51901440*b^13*c^2*d^3 - 
    9984421376*b^13*c*e^3 + 18433766400*b^13*d^2*e^2 + 98801920*b^12*c^5*e - 26279040*b^12*c^4*d^2 + 
    16349596416*b^12*c^2*d*e^2 - 13722243072*b^12*c*d^3*e + 2375680000*b^12*d^5 + 123568252800*b^12*e^4 - 819200*b^11*c^6*d +
    2084180992*b^11*c^4*e^2 - 4074711040*b^11*c^3*d^2*e + 1504784384*b^11*c^2*d^4 + 241967478784*b^11*c*d*e^3 - 
    239714488320*b^11*d^3*e^2 + 276480*b^10*c^8 - 197496832*b^10*c^5*d*e - 299563008*b^10*c^4*d^3 - 230625671168*b^10*c^3*e^3
    + 157610612736*b^10*c^2*d^2*e^2 + 199947075584*b^10*c*d^4*e - 31936479232*b^10*d^6 - 558189475840*b^10*d*e^4 + 
    349523968*b^9*c^7*e - 40809472*b^9*c^6*d^2 + 189885030400*b^9*c^4*d*e^2 - 307807944704*b^9*c^3*d^3*e + 
    51809959936*b^9*c^2*d^5 + 3725887923200*b^9*c^2*e^4 - 5054506352640*b^9*c*d^2*e^3 + 1432096686080*b^9*d^4*e^2 - 
    819200*b^8*c^8*d - 23119525888*b^8*c^6*e^2 + 61494177792*b^8*c^5*d^2*e - 5374961664*b^8*c^4*d^4 + 
    2286164254720*b^8*c^3*d*e^3 + 2018060595200*b^8*c^2*d^3*e^2 - 1556373372928*b^8*c*d^5*e - 8926750720000*b^8*c*e^5 + 
    163758211072*b^8*d^7 - 2453248256000*b^8*d^2*e^4 - 5408948224*b^7*c^7*d*e - 2641379328*b^7*c^6*d^3 - 
    1400645222400*b^7*c^5*e^3 - 2254299955200*b^7*c^4*d^2*e^2 + 1850257899520*b^7*c^3*d^4*e - 196535582720*b^7*c^2*d^6 - 
    23894571008000*b^7*c^2*d*e^4 + 28375710105600*b^7*c*d^3*e^3 - 11055892725760*b^7*d^5*e^2 + 5773312000000*b^7*e^6 + 
    826540032*b^6*c^9*e + 674496512*b^6*c^8*d^2 + 1748932427776*b^6*c^6*d*e^2 - 1304039260160*b^6*c^5*d^3*e + 
    159407538176*b^6*c^4*d^5 + 33171902464000*b^6*c^4*e^4 - 16725886566400*b^6*c^3*d^2*e^3 - 1090875064320*b^6*c^2*d^4*e^2 + 
    9433898549248*b^6*c*d^6*e + 4627251200000*b^6*c*d*e^5 - 1241656590336*b^6*d^8 + 31974522880000*b^6*d^3*e^4 - 
    83623936*b^5*c^10*d - 242454495232*b^5*c^8*e^2 + 171264311296*b^5*c^7*d^2*e + 1627881472*b^5*c^6*d^4 - 
    14452780564480*b^5*c^5*d*e^3 + 15793462312960*b^5*c^4*d^3*e^2 - 16327048298496*b^5*c^3*d^5*e - 
    147154124800000*b^5*c^3*e^5 + 2373971607552*b^5*c^2*d^7 + 134872166400000*b^5*c^2*d^2*e^4 - 179331514368000*b^5*c*d^4*e^3
    + 57644714557440*b^5*d^6*e^2 - 3442688000000*b^5*d*e^6 + 2097152*b^4*c^12 + 16326983680*b^4*c^9*d*e - 
    16696901632*b^4*c^8*d^3 + 325825331200*b^4*c^7*e^3 - 3770230538240*b^4*c^6*d^2*e^2 + 9999617556480*b^4*c^5*d^4*e - 
    1668159733760*b^4*c^4*d^6 - 2221158400000*b^4*c^4*d*e^4 + 111585689600000*b^4*c^3*d^3*e^3 + 
    27944158822400*b^4*c^2*d^5*e^2 + 234001920000000*b^4*c^2*e^6 - 49438948065280*b^4*c*d^7*e + 194420736000000*b^4*c*d^2*e^5
    + 6447651880960*b^4*d^9 - 61777408000000*b^4*d^4*e^4 - 2076180480*b^3*c^11*e + 3531866112*b^3*c^10*d^2 + 
    2325919825920*b^3*c^8*d*e^2 - 4841291120640*b^3*c^7*d^3*e + 875343118336*b^3*c^6*d^5 + 69516001280000*b^3*c^6*e^4 - 
    59860484096000*b^3*c^5*d^2*e^3 - 95810519040000*b^3*c^4*d^4*e^2 + 75422737367040*b^3*c^3*d^6*e - 
    95182848000000*b^3*c^3*d*e^5 - 10430117314560*b^3*c^2*d^8 - 870699008000000*b^3*c^2*d^3*e^4 + 
    657859215360000*b^3*c*d^5*e^3 - 184832000000000*b^3*c*e^7 - 136185249792000*b^3*d^7*e^2 - 64921600000000*b^3*d^2*e^6 - 
    344457216*b^2*c^12*d - 381871718400*b^2*c^10*e^2 + 1000892006400*b^2*c^9*d^2*e - 199279247360*b^2*c^8*d^4 - 
    46698856448000*b^2*c^7*d*e^3 + 93100710297600*b^2*c^6*d^3*e^2 - 49318917570560*b^2*c^5*d^5*e - 
    448790528000000*b^2*c^5*e^5 + 6812270592000*b^2*c^4*d^7 + 993492992000000*b^2*c^4*d^2*e^4 - 
    189502259200000*b^2*c^3*d^4*e^3 - 291709321216000*b^2*c^2*d^6*e^2 + 924979200000000*b^2*c^2*d*e^6 + 
    138066735923200*b^2*c*d^8*e - 338493440000000*b^2*c*d^3*e^5 - 15012588421120*b^2*d^10 - 47849472000000*b^2*d^5*e^4 + 
    51200000000000*b^2*e^8 + 14155776*b*c^14 - 67140845568*b*c^11*d*e + 15330967552*b*c^10*d^3 + 7358316544000*b*c^9*e^3 - 
    15075862118400*b*c^8*d^2*e^2 + 8262377799680*b*c^7*d^4*e - 1206645948416*b*c^6*d^6 + 229412864000000*b*c^6*d*e^4 - 
    608724254720000*b*c^5*d^3*e^3 + 475808923648000*b*c^4*d^5*e^2 + 942694400000000*b*c^4*e^6 - 147724750028800*b*c^3*d^7*e -
    3027312640000000*b*c^3*d^2*e^5 + 15527376322560*b*c^2*d^9 + 2637795328000000*b*c^2*d^4*e^4 - 922510950400000*b*c*d^6*e^3 
    - 824320000000000*b*c*d*e^7 + 121422479360000*b*d^8*e^2 + 155648000000000*b*d^3*e^6 + 721944576*c^13*e - 
    176947200*c^12*d^2 + 361939599360*c^10*d*e^2 - 266262282240*c^9*d^3*e + 43603197952*c^8*d^5 - 17004134400000*c^8*e^4 + 
    57021235200000*c^7*d^2*e^3 - 48557457408000*c^6*d^4*e^2 + 15764254883840*c^5*d^6*e - 372154368000000*c^5*d*e^5 - 
    1724558868480*c^4*d^8 + 1275396096000000*c^4*d^3*e^4 - 1384742912000000*c^3*d^5*e^3 - 588800000000000*c^3*e^7 + 
    674368716800000*c^2*d^7*e^2 + 1582080000000000*c^2*d^2*e^6 - 153224216576000*c*d^9*e - 994508800000000*c*d^4*e^5 + 
    13130520330240*d^11 + 184623104000000*d^6*e^4 + 89600000000000*d*e^8
;
M[3][5,4] :=
                                -M[3][4,5];
M[4][4,5] :=
66571993088*a^15*c*e^5 - 15837691904*a^15*d^2*e^4 - 24964497408*a^14*b^2*e^5 - 67377299456*a^14*b*c*d*e^4 + 
    15837691904*a^14*b*d^3*e^3 - 14495514624*a^14*c^3*e^4 + 46707769344*a^14*c^2*d^2*e^3 - 13086228480*a^14*c*d^4*e^2 + 
    1019215872*a^14*d^6*e + 178778013696*a^14*d*e^5 + 27246198784*a^13*b^3*d*e^4 + 33151778816*a^13*b^2*c^2*e^4 - 
    13220446208*a^13*b^2*c*d^2*e^3 - 1031798784*a^13*b^2*d^4*e^2 - 32212254720*a^13*b*c^3*d*e^3 - 
    8858370048*a^13*b*c^2*d^3*e^2 + 3485466624*a^13*b*c*d^5*e - 1271041884160*a^13*b*c*e^5 - 254803968*a^13*b*d^7 + 
    57646514176*a^13*b*d^2*e^4 + 2952790016*a^13*c^5*e^3 + 7952400384*a^13*c^4*d^2*e^2 - 603979776*a^13*c^3*d^4*e - 
    217055232*a^13*c^2*d^6 - 286689067008*a^13*c^2*d*e^4 + 68853694464*a^13*c*d^3*e^3 - 12884901888*a^13*d^5*e^2 - 
    626796789760*a^13*e^6 - 15837691904*a^12*b^4*c*e^4 - 4332716032*a^12*b^4*d^2*e^3 + 17515413504*a^12*b^3*c^2*d*e^3 + 
    8422162432*a^12*b^3*c*d^3*e^2 - 699400192*a^12*b^3*d^5*e + 455065206784*a^12*b^3*e^5 + 2516582400*a^12*b^2*c^4*e^3 + 
    6794772480*a^12*b^2*c^3*d^2*e^2 - 1462763520*a^12*b^2*c^2*d^4*e + 173015040*a^12*b^2*c*d^6 + 
    1536457441280*a^12*b^2*c*d*e^4 - 185304350720*a^12*b^2*d^3*e^3 - 10166992896*a^12*b*c^5*d*e^2 - 
    2768240640*a^12*b*c^4*d^3*e + 802160640*a^12*b*c^3*d^5 + 382520524800*a^12*b*c^3*e^4 - 587269668864*a^12*b*c^2*d^2*e^3 + 
    196494753792*a^12*b*c*d^4*e^2 - 10374610944*a^12*b*d^6*e - 2017158234112*a^12*b*d*e^5 - 2885681152*a^12*c^7*e^2 + 
    4362076160*a^12*c^6*d^2*e - 843055104*a^12*c^5*d^4 + 77644955648*a^12*c^4*d*e^3 - 145726898176*a^12*c^3*d^3*e^2 + 
    33464254464*a^12*c^2*d^5*e + 2812398272512*a^12*c^2*e^5 - 1915748352*a^12*c*d^7 + 94824824832*a^12*c*d^2*e^4 + 
    62558044160*a^12*d^4*e^3 + 1979711488*a^11*b^6*e^4 - 1220542464*a^11*b^5*c*d*e^3 - 613416960*a^11*b^5*d^3*e^2 - 
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    1640120320000000*a*b^3*c*d^2*e^5 + 3285364768768*a*b^3*d^9 + 491144806400000*a*b^3*d^4*e^4 - 3041918976*a*b^2*c^11*e + 
    3730571264*a*b^2*c^10*d^2 - 1129678110720*a*b^2*c^8*d*e^2 - 2326572040192*a*b^2*c^7*d^3*e + 420981506048*a*b^2*c^6*d^5 + 
    65852047360000*a*b^2*c^6*e^4 - 318686822400000*a*b^2*c^5*d^2*e^3 + 147745996800000*a*b^2*c^4*d^4*e^2 + 
    3247961538560*a*b^2*c^3*d^6*e - 2115100672000000*a*b^2*c^3*d*e^5 - 2812429205504*a*b^2*c^2*d^8 + 
    1894239436800000*a*b^2*c^2*d^3*e^4 - 510229217280000*a*b^2*c*d^5*e^3 - 1419264000000000*a*b^2*c*e^7 + 
    11697848320000*a*b^2*d^7*e^2 + 633344000000000*a*b^2*d^2*e^6 - 353894400*a*b*c^12*d - 268844138496*a*b*c^10*e^2 + 
    939813502976*a*b*c^9*d^2*e - 181420163072*a*b*c^8*d^4 - 30954749952000*a*b*c^7*d*e^3 + 90910503731200*a*b*c^6*d^3*e^2 - 
    54888367652864*a*b*c^5*d^5*e - 565244723200000*a*b*c^5*e^5 + 7889685839872*a*b*c^4*d^7 + 1813846425600000*a*b*c^4*d^2*e^4
    - 1367939481600000*a*b*c^3*d^4*e^3 + 346730397696000*a*b*c^2*d^6*e^2 + 127180800000000*a*b*c^2*d*e^6 - 
    4826175897600*a*b*c*d^8*e + 974929920000000*a*b*c*d^3*e^5 - 2860246892544*a*b*d^10 - 478213734400000*a*b*d^5*e^4 + 
    176640000000000*a*b*e^8 + 14155776*a*c^14 - 68065689600*a*c^11*d*e + 14966849536*a*c^10*d^3 + 9306701824000*a*c^9*e^3 - 
    17615414886400*a*c^8*d^2*e^2 + 9609968353280*a*c^7*d^4*e - 1410265251840*a*c^6*d^6 + 307163136000000*a*c^6*d*e^4 - 
    663884267520000*a*c^5*d^3*e^3 + 494428848128000*a*c^4*d^5*e^2 + 420454400000000*a*c^4*e^6 - 155382369484800*a*c^3*d^7*e -
    216637440000000*a*c^3*d^2*e^5 + 16837939036160*a*c^2*d^9 - 444137472000000*a*c^2*d^4*e^4 + 291930112000000*a*c*d^6*e^3 + 
    716800000000000*a*c*d*e^7 - 31623741440000*a*d^8*e^2 - 878592000000000*a*d^3*e^6 - 69120*b^17*d*e + 23040*b^16*c^2*e + 
    7680*b^16*c*d^2 - 2560*b^15*c^3*d - 27262080*b^15*c*e^2 - 491520*b^15*d^2*e + 17193600*b^14*c^2*d*e - 3952640*b^14*c*d^3 
    + 2972663424*b^14*e^3 - 3661440*b^13*c^4*e + 1095680*b^13*c^3*d^2 - 3680484864*b^13*c*d*e^2 + 407748608*b^13*d^3*e - 
    37760*b^12*c^5*d + 458151552*b^12*c^3*e^2 + 1069155840*b^12*c^2*d^2*e - 259342336*b^12*c*d^4 + 13257270784*b^12*d*e^3 - 
    301253632*b^11*c^4*d*e + 74842112*b^11*c^3*d^3 + 39889032192*b^11*c^2*e^3 - 33106028544*b^11*c*d^2*e^2 + 
    2728525824*b^11*d^4*e + 11373568*b^10*c^6*e - 2537472*b^10*c^5*d^2 - 32506260480*b^10*c^3*d*e^2 + 
    19703064576*b^10*c^2*d^3*e - 3476881408*b^10*c*d^5 - 530097208320*b^10*c*e^4 + 46340515840*b^10*d^2*e^3 - 
    138240*b^9*c^7*d + 6549665792*b^9*c^5*e^2 + 1703314432*b^9*c^4*d^2*e - 448856064*b^9*c^3*d^4 + 742582937600*b^9*c^2*d*e^3
    - 94208942080*b^9*c*d^3*e^2 - 89653248*b^9*d^5*e + 1582035840000*b^9*e^5 - 2233426944*b^8*c^6*d*e + 510164992*b^8*c^5*d^3
    + 98589772800*b^8*c^4*e^3 - 561303664640*b^8*c^3*d^2*e^2 + 74260439040*b^8*c^2*d^4*e + 280494080*b^8*c*d^6 + 
    542589184000*b^8*c*d*e^4 - 2437753446400*b^8*d^3*e^3 + 201981952*b^7*c^8*e - 50085888*b^7*c^7*d^2 + 
    3029303296*b^7*c^5*d*e^2 + 190853201920*b^7*c^4*d^3*e - 43994710016*b^7*c^3*d^5 - 6273777664000*b^7*c^3*e^4 + 
    3718363545600*b^7*c^2*d^2*e^3 + 2885298585600*b^7*c*d^4*e^2 - 324567826432*b^7*d^6*e - 9372825600000*b^7*d*e^5 + 
    18347327488*b^6*c^7*e^2 - 71368146944*b^6*c^6*d^2*e + 17531174912*b^6*c^5*d^4 + 5825483161600*b^6*c^4*d*e^3 - 
    6772682752000*b^6*c^3*d^3*e^2 - 58855817216*b^6*c^2*d^5*e + 49880627200000*b^6*c^2*e^5 + 157195173888*b^6*c*d^7 - 
    32072212480000*b^6*c*d^2*e^4 + 14934192128000*b^6*d^4*e^3 + 6820331520*b^5*c^8*d*e - 2089746432*b^5*c^7*d^3 - 
    499228016640*b^5*c^6*e^3 - 68246077440*b^5*c^5*d^2*e^2 + 2070177710080*b^5*c^4*d^4*e - 421756665856*b^5*c^3*d^6 - 
    31892090880000*b^5*c^3*d*e^4 + 29875232768000*b^5*c^2*d^3*e^3 - 17681922785280*b^5*c*d^5*e^2 - 85338624000000*b^5*c*e^6 +
    1895175290880*b^5*d^7*e + 35537408000000*b^5*d^2*e^5 - 205783040*b^4*c^10*e + 92471296*b^4*c^9*d^2 + 
    44949504000*b^4*c^7*d*e^2 - 656731176960*b^4*c^6*d^3*e + 138145857536*b^4*c^5*d^5 - 17406197760000*b^4*c^5*e^4 + 
    7974113280000*b^4*c^4*d^2*e^3 - 416075776000*b^4*c^3*d^4*e^2 + 2406616268800*b^4*c^2*d^6*e - 96916480000000*b^4*c^2*d*e^5
    - 461352468480*b^4*c*d^8 + 171027456000000*b^4*c*d^3*e^4 - 44435947520000*b^4*d^5*e^3 + 48384000000000*b^4*e^7 - 
    1048576*b^3*c^11*d + 33023590400*b^3*c^9*e^2 + 85562490880*b^3*c^8*d^2*e - 16623861760*b^3*c^7*d^4 + 
    19444629504000*b^3*c^6*d*e^3 - 12793669222400*b^3*c^5*d^3*e^2 + 1634992128000*b^3*c^4*d^5*e + 266854400000000*b^3*c^4*e^5
    - 109366476800*b^3*c^3*d^7 - 126074880000000*b^3*c^3*d^2*e^4 - 137718169600000*b^3*c^2*d^4*e^3 + 
    64317882368000*b^3*c*d^6*e^2 + 44134400000000*b^3*c*d*e^6 - 5327604940800*b^3*d^8*e - 82391040000000*b^3*d^3*e^5 - 
    11768168448*b^2*c^10*d*e + 1453588480*b^2*c^9*d^3 - 3020980224000*b^2*c^8*e^3 - 1633183334400*b^2*c^7*d^2*e^2 + 
    2467430400000*b^2*c^6*d^4*e - 383900450816*b^2*c^5*d^6 - 287460556800000*b^2*c^5*d*e^4 + 289551155200000*b^2*c^4*d^3*e^3 
    - 55369105408000*b^2*c^3*d^5*e^2 - 1003622400000000*b^2*c^3*e^6 - 9813216460800*b^2*c^2*d^7*e + 
    1361141760000000*b^2*c^2*d^2*e^5 + 1886178508800*b^2*c*d^9 - 551424000000000*b^2*c*d^4*e^4 + 68870144000000*b^2*d^6*e^3 +
    38400000000000*b^2*d*e^7 + 828112896*b*c^12*e - 40108032*b*c^11*d^2 + 1116084633600*b*c^9*d*e^2 - 
    924090368000*b*c^8*d^3*e + 148437204992*b*c^7*d^5 + 22497689600000*b*c^7*e^4 + 50620497920000*b*c^6*d^2*e^3 - 
    86904143872000*b*c^5*d^4*e^2 + 36400509747200*b*c^4*d^6*e + 973148160000000*b*c^4*d*e^5 - 4378853376000*b*c^3*d^8 - 
    1497374720000000*b*c^3*d^3*e^4 + 781164544000000*b*c^2*d^5*e^3 + 1241600000000000*b*c^2*e^7 - 157119938560000*b*c*d^7*e^2
    - 1348608000000000*b*c*d^2*e^6 + 7881097216000*b*d^9*e + 314060800000000*b*d^4*e^5 - 7077888*c^13*d - 
    69115576320*c^11*e^2 + 68584734720*c^10*d^2*e - 12187074560*c^9*d^4 - 12320276480000*c^8*d*e^3 + 
    15578595328000*c^7*d^3*e^2 - 6279330529280*c^6*d^5*e - 5402624000000*c^6*e^5 + 780313559040*c^5*d^7 - 
    248541184000000*c^5*d^2*e^4 + 424570880000000*c^4*d^4*e^3 - 261749800960000*c^3*d^6*e^2 - 619008000000000*c^3*d*e^6 + 
    69842763776000*c^2*d^8*e + 707788800000000*c^2*d^3*e^5 - 6708034273280*c*d^10 - 229531648000000*c*d^5*e^4 - 
    499200000000000*c*e^8 + 15761408000000*d^7*e^3 + 358400000000000*d^2*e^7
;
M[4][5,4] :=
                                -M[4][4,5];
M[5][4,5] :=
66571993088*a^14*c*e^5 - 15837691904*a^14*d^2*e^4 - 24964497408*a^13*b^2*e^5 - 67377299456*a^13*b*c*d*e^4 + 
    15837691904*a^13*b*d^3*e^3 - 14495514624*a^13*c^3*e^4 + 46707769344*a^13*c^2*d^2*e^3 - 13086228480*a^13*c*d^4*e^2 + 
    1019215872*a^13*d^6*e + 171261820928*a^13*d*e^5 + 27246198784*a^12*b^3*d*e^4 + 33151778816*a^12*b^2*c^2*e^4 - 
    13220446208*a^12*b^2*c*d^2*e^3 - 1031798784*a^12*b^2*d^4*e^2 - 32212254720*a^12*b*c^3*d*e^3 - 
    8858370048*a^12*b*c^2*d^3*e^2 + 3485466624*a^12*b*c*d^5*e - 1250640789504*a^12*b*c*e^5 - 254803968*a^12*b*d^7 + 
    63082332160*a^12*b*d^2*e^4 + 2952790016*a^12*c^5*e^3 + 7952400384*a^12*c^4*d^2*e^2 - 603979776*a^12*c^3*d^4*e - 
    217055232*a^12*c^2*d^6 - 278904438784*a^12*c^2*d*e^4 + 68719476736*a^12*c*d^3*e^3 - 12960399360*a^12*d^5*e^2 - 
    155424129024*a^12*e^6 - 15837691904*a^11*b^4*c*e^4 - 4332716032*a^11*b^4*d^2*e^3 + 17515413504*a^11*b^3*c^2*d*e^3 + 
    8422162432*a^11*b^3*c*d^3*e^2 - 699400192*a^11*b^3*d^5*e + 447884558336*a^11*b^3*e^5 + 2516582400*a^11*b^2*c^4*e^3 + 
    6794772480*a^11*b^2*c^3*d^2*e^2 - 1462763520*a^11*b^2*c^2*d^4*e + 173015040*a^11*b^2*c*d^6 + 
    1506728214528*a^11*b^2*c*d*e^4 - 185992216576*a^11*b^2*d^3*e^3 - 10166992896*a^11*b*c^5*d*e^2 - 
    2768240640*a^11*b*c^4*d^3*e + 802160640*a^11*b*c^3*d^5 + 375004332032*a^11*b*c^3*e^4 - 583176028160*a^11*b*c^2*d^2*e^3 + 
    193512603648*a^11*b*c*d^4*e^2 - 10082058240*a^11*b*d^6*e - 2549868396544*a^11*b*d*e^5 - 2885681152*a^11*c^7*e^2 + 
    4362076160*a^11*c^6*d^2*e - 843055104*a^11*c^5*d^4 + 78852915200*a^11*c^4*d*e^3 - 144284057600*a^11*c^3*d^3*e^2 + 
    33753661440*a^11*c^2*d^5*e + 2238751703040*a^11*c^2*e^5 - 2028994560*a^11*c*d^7 + 416746045440*a^11*c*d^2*e^4 + 
    7436500992*a^11*d^4*e^3 + 1979711488*a^10*b^6*e^4 - 1220542464*a^10*b^5*c*d*e^3 - 613416960*a^10*b^5*d^3*e^2 - 
    4076863488*a^10*b^4*c^3*e^3 - 10264510464*a^10*b^4*c^2*d^2*e^2 - 67108864*a^10*b^4*c*d^4*e + 11272192*a^10*b^4*d^6 - 
    524648710144*a^10*b^4*d*e^4 + 9814671360*a^10*b^3*c^4*d*e^2 + 2610954240*a^10*b^3*c^3*d^3*e - 652738560*a^10*b^3*c^2*d^5 
    - 698133512192*a^10*b^3*c^2*e^4 - 51556384768*a^10*b^3*c*d^2*e^3 + 3278897152*a^10*b^3*d^4*e^2 + 
    10116661248*a^10*b^2*c^6*e^2 - 5196742656*a^10*b^2*c^5*d^2*e + 924057600*a^10*b^2*c^4*d^4 + 
    227398385664*a^10*b^2*c^3*d*e^3 + 253935747072*a^10*b^2*c^2*d^3*e^2 - 84711309312*a^10*b^2*c*d^5*e + 
    8338209243136*a^10*b^2*c*e^5 + 3932160000*a^10*b^2*d^7 + 964270489600*a^10*b^2*d^2*e^4 - 2919235584*a^10*b*c^7*d*e + 
    595591168*a^10*b*c^6*d^3 - 83718307840*a^10*b*c^5*e^3 + 38000394240*a^10*b*c^4*d^2*e^2 - 3182428160*a^10*b*c^3*d^4*e + 
    1918894080*a^10*b*c^2*d^6 + 968380907520*a^10*b*c^2*d*e^4 - 1462411198464*a^10*b*c*d^3*e^3 + 188828614656*a^10*b*d^5*e^2 
    + 2331361935360*a^10*b*e^6 + 494927872*a^10*c^9*e - 108003328*a^10*c^8*d^2 + 25400705024*a^10*c^6*d*e^2 - 
    32715571200*a^10*c^5*d^3*e + 5992611840*a^10*c^4*d^5 - 909962641408*a^10*c^4*e^4 + 1051394572288*a^10*c^3*d^2*e^3 + 
    140596215808*a^10*c^2*d^4*e^2 - 86447751168*a^10*c*d^6*e + 1457604526080*a^10*c*d*e^5 + 5190451200*a^10*d^8 - 
    1328738729984*a^10*d^3*e^4 - 152043520*a^9*b^7*d*e^3 + 1630535680*a^9*b^6*c^2*e^3 + 2872049664*a^9*b^6*c*d^2*e^2 + 
    59506688*a^9*b^6*d^4*e - 3224371200*a^9*b^5*c^3*d*e^2 - 121634816*a^9*b^5*c^2*d^3*e + 192413696*a^9*b^5*c*d^5 + 
    305458577408*a^9*b^5*c*e^4 + 124578168832*a^9*b^5*d^2*e^3 - 12608077824*a^9*b^4*c^5*e^2 + 2666004480*a^9*b^4*c^4*d^2*e - 
    448266240*a^9*b^4*c^3*d^4 - 698351616*a^9*b^4*c^2*d*e^3 - 116149714944*a^9*b^4*c*d^3*e^2 + 17877696512*a^9*b^4*d^5*e - 
    3103017402368*a^9*b^4*e^5 + 5154799616*a^9*b^3*c^6*d*e - 1076363264*a^9*b^3*c^5*d^3 + 55213817856*a^9*b^3*c^4*e^3 - 
    252960571392*a^9*b^3*c^3*d^2*e^2 + 37361287168*a^9*b^3*c^2*d^4*e + 719323136*a^9*b^3*c*d^6 - 
    11185705451520*a^9*b^3*c*d*e^4 + 896643629056*a^9*b^3*d^3*e^3 - 940572672*a^9*b^2*c^8*e + 242221056*a^9*b^2*c^7*d^2 + 
    25140658176*a^9*b^2*c^5*d*e^2 + 74055680000*a^9*b^2*c^4*d^3*e - 16984309760*a^9*b^2*c^3*d^5 - 
    1455306047488*a^9*b^2*c^3*e^4 + 3439134244864*a^9*b^2*c^2*d^2*e^3 - 1123477880832*a^9*b^2*c*d^4*e^2 + 
    54524903424*a^9*b^2*d^6*e + 15235222077440*a^9*b^2*d*e^5 - 15728640*a^9*b*c^9*d + 26977763328*a^9*b*c^7*e^2 - 
    23605542912*a^9*b*c^6*d^2*e + 4789370880*a^9*b*c^5*d^4 - 1225659514880*a^9*b*c^4*d*e^3 + 914167431168*a^9*b*c^3*d^3*e^2 -
    275067699200*a^9*b*c^2*d^5*e - 31511638179840*a^9*b*c^2*e^5 + 28748808192*a^9*b*c*d^7 - 5559155687424*a^9*b*c*d^2*e^4 + 
    1226486841344*a^9*b*d^4*e^3 + 2097152*a^9*c^11 - 3198156800*a^9*c^8*d*e + 620756992*a^9*c^7*d^3 + 
    173543522304*a^9*c^6*e^3 - 113271373824*a^9*c^5*d^2*e^2 + 139110383616*a^9*c^4*d^4*e - 25745686528*a^9*c^3*d^6 - 
    2480746266624*a^9*c^3*d*e^4 + 674699935744*a^9*c^2*d^3*e^3 - 765253910528*a^9*c*d^5*e^2 - 1635778560000*a^9*c*e^6 + 
    134976897024*a^9*d^7*e - 1016175001600*a^9*d^2*e^5 - 296222720*a^8*b^8*c*e^3 - 255000576*a^8*b^8*d^2*e^2 + 
    451411968*a^8*b^7*c^2*d*e^2 - 196083712*a^8*b^7*c*d^3*e - 22740992*a^8*b^7*d^5 - 36262903808*a^8*b^7*e^4 + 
    8148746240*a^8*b^6*c^4*e^2 - 1033895936*a^8*b^6*c^3*d^2*e + 92995584*a^8*b^6*c^2*d^4 - 68955406336*a^8*b^6*c*d*e^3 + 
    224395264*a^8*b^6*d^3*e^2 - 3911712768*a^8*b^5*c^5*d*e + 853278720*a^8*b^5*c^4*d^3 - 22866296832*a^8*b^5*c^3*e^3 + 
    174443200512*a^8*b^5*c^2*d^2*e^2 - 8364490752*a^8*b^5*c*d^4*e - 1029963776*a^8*b^5*d^6 + 3765231943680*a^8*b^5*d*e^4 + 
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    61440000000000*a^2*e^8 - 92160*a*b^16*d*e + 30720*a*b^15*c^2*e - 975360*a*b^15*c*d^2 + 640000*a*b^14*c^3*d - 
    1417989120*a*b^14*c*e^2 + 42906624*a*b^14*d^2*e - 104960*a*b^13*c^5 + 880013824*a*b^13*c^2*d*e - 218667008*a*b^13*c*d^3 +
    4721217024*a*b^13*e^3 - 191314944*a*b^12*c^4*e + 51104256*a*b^12*c^3*d^2 - 26295632384*a*b^12*c*d*e^2 + 
    689352704*a*b^12*d^3*e + 4227072*a*b^11*c^5*d - 11529043968*a*b^11*c^3*e^2 + 16468967424*a*b^11*c^2*d^2*e - 
    3630768128*a*b^11*c*d^4 - 232415256576*a*b^11*d*e^3 - 999424*a*b^10*c^7 + 3105996800*a*b^10*c^4*d*e - 
    898887680*a*b^10*c^3*d^3 + 260282550272*a*b^10*c^2*e^3 - 21631340544*a*b^10*c*d^2*e^2 - 23091003392*a*b^10*d^4*e - 
    1371310080*a*b^9*c^6*e + 541593600*a*b^9*c^5*d^2 - 391955425280*a*b^9*c^3*d*e^2 + 143077187584*a*b^9*c^2*d^3*e - 
    21078573056*a*b^9*c*d^5 - 3885959116800*a*b^9*c*e^4 + 3315205201920*a*b^9*d^2*e^3 - 33269760*a*b^8*c^7*d - 
    1440083968*a*b^8*c^5*e^2 + 106264875008*a*b^8*c^4*d^2*e - 28349997056*a*b^8*c^3*d^4 - 3086669680640*a*b^8*c^2*d*e^3 - 
    1496682782720*a*b^8*c*d^3*e^2 + 342655959040*a*b^8*d^5*e + 4948807680000*a*b^8*e^5 + 327680*a*b^7*c^9 - 
    14509309952*a*b^7*c^6*d*e + 5172330496*a*b^7*c^5*d^3 + 2743581736960*a*b^7*c^4*e^3 + 1917933158400*a*b^7*c^3*d^2*e^2 - 
    1049680936960*a*b^7*c^2*d^4*e + 96882786304*a*b^7*c*d^6 + 36529061888000*a*b^7*c*d*e^4 - 12591706931200*a*b^7*d^3*e^3 - 
    2500132864*a*b^6*c^8*e + 1063714816*a*b^6*c^7*d^2 - 3279179874304*a*b^6*c^5*d*e^2 + 1538375024640*a*b^6*c^4*d^3*e - 
    228365041664*a*b^6*c^3*d^5 - 57757126656000*a*b^6*c^3*e^4 + 11075036774400*a*b^6*c^2*d^2*e^3 + 
    5003631001600*a*b^6*c*d^4*e^2 - 952010801152*a*b^6*d^6*e - 16124928000000*a*b^6*d*e^5 - 203161600*a*b^5*c^9*d + 
    385756561408*a*b^5*c^7*e^2 + 210595741696*a*b^5*c^6*d^2*e - 76322308096*a*b^5*c^5*d^4 + 20020546764800*a*b^5*c^4*d*e^3 - 
    18433514864640*a*b^5*c^3*d^3*e^2 + 6133654093824*a*b^5*c^2*d^5*e + 177592115200000*a*b^5*c^2*e^5 - 
    707889987584*a*b^5*c*d^7 - 132690206720000*a*b^5*c*d^2*e^4 + 49970298880000*a*b^5*d^4*e^3 + 18350080*a*b^4*c^11 - 
    123181465600*a*b^4*c^8*d*e + 42360635392*a*b^4*c^7*d^3 + 4322898739200*a*b^4*c^6*e^3 + 5047682334720*a*b^4*c^5*d^2*e^2 - 
    5386171187200*a*b^4*c^4*d^4*e + 937059287040*a*b^4*c^3*d^6 + 102434201600000*a*b^4*c^3*d*e^4 - 
    50965626880000*a*b^4*c^2*d^3*e^3 - 35065715097600*a*b^4*c*d^5*e^2 - 150343680000000*a*b^4*c*e^6 + 
    2912802570240*a*b^4*d^7*e - 14880768000000*a*b^4*d^2*e^5 + 6224871424*a*b^3*c^10*e - 4204527616*a*b^3*c^9*d^2 - 
    8026412810240*a*b^3*c^7*d*e^2 + 5594813562880*a*b^3*c^6*d^3*e - 1114915733504*a*b^3*c^5*d^5 - 
    193761771520000*a*b^3*c^5*e^4 + 9502720000*a*b^3*c^4*d^2*e^3 + 102279086080000*a*b^3*c^3*d^4*e^2 - 
    8494493204480*a*b^3*c^2*d^6*e - 315858944000000*a*b^3*c^2*d*e^5 - 276813578240*a*b^3*c*d^8 + 
    393281536000000*a*b^3*c*d^3*e^4 - 191387402240000*a*b^3*d^5*e^3 - 64512000000000*a*b^3*e^7 + 70254592*a*b^2*c^11*d + 
    1200276111360*a*b^2*c^9*e^2 - 337355735040*a*b^2*c^8*d^2*e + 136584888320*a*b^2*c^7*d^4 + 139488985088000*a*b^2*c^6*d*e^3
    - 100330255155200*a*b^2*c^5*d^3*e^2 - 4612664852480*a*b^2*c^4*d^5*e + 680370176000000*a*b^2*c^4*e^5 + 
    2725736611840*a*b^2*c^3*d^7 - 381583360000000*a*b^2*c^3*d^2*e^4 - 90906624000000*a*b^2*c^2*d^4*e^3 + 
    174378582016000*a*b^2*c*d^6*e^2 + 463052800000000*a*b^2*c*d*e^6 - 12755822182400*a*b^2*d^8*e - 
    348241920000000*a*b^2*d^3*e^5 + 18874368*a*b*c^13 - 212596686848*a*b*c^10*d*e + 29252648960*a*b*c^9*d^3 - 
    13756727296000*a*b*c^8*e^3 - 9921665433600*a*b*c^7*d^2*e^2 + 21168429465600*a*b*c^6*d^4*e - 3855153627136*a*b*c^5*d^6 - 
    463401779200000*a*b*c^5*d*e^4 + 412323020800000*a*b*c^4*d^3*e^3 - 87541481472000*a*b*c^3*d^5*e^2 - 
    354713600000000*a*b*c^3*e^6 - 47891034931200*a*b*c^2*d^7*e - 323420160000000*a*b*c^2*d^2*e^5 + 9455429222400*a*b*c*d^9 + 
    162242560000000*a*b*c*d^4*e^4 + 187544371200000*a*b*d^6*e^3 + 92160000000000*a*b*d*e^7 + 20422066176*a*c^12*e - 
    3565682688*a*c^11*d^2 + 3029322956800*a*c^9*d*e^2 - 3408857661440*a*c^8*d^3*e + 623073820672*a*c^7*d^5 - 
    51463782400000*a*c^7*e^4 + 172178145280000*a*c^6*d^2*e^3 - 164876779520000*a*c^5*d^4*e^2 + 67563133337600*a*c^4*d^6*e - 
    149176320000000*a*c^4*d*e^5 - 8738234695680*a*c^3*d^8 + 528449536000000*a*c^3*d^3*e^4 - 261898240000000*a*c^2*d^5*e^3 - 
    102400000000000*a*c^2*e^7 - 25659965440000*a*c*d^7*e^2 + 206848000000000*a*c*d^2*e^6 + 11083448320000*a*d^9*e + 
    565248000000000*a*d^4*e^5 + 46080*b^17*d^2 - 30720*b^16*c^2*d + 72195840*b^16*e^2 + 5120*b^15*c^4 - 47976960*b^15*c*d*e +
    11018240*b^15*d^3 + 10644480*b^14*c^3*e - 2209280*b^14*c^2*d^2 + 1265902080*b^14*d*e^2 - 417280*b^13*c^4*d + 
    759690240*b^13*c^2*e^2 - 915445760*b^13*c*d^2*e + 212828160*b^13*d^4 + 75520*b^12*c^6 - 250851840*b^12*c^3*d*e + 
    51025920*b^12*c^2*d^3 - 7868695040*b^12*c*e^3 + 16940431360*b^12*d^2*e^2 + 97218560*b^11*c^5*e - 25902080*b^11*c^4*d^2 + 
    14553753600*b^11*c^2*d*e^2 - 12442542080*b^11*c*d^3*e + 2160721920*b^11*d^5 + 150690800640*b^11*e^4 - 819200*b^10*c^6*d +
    2378142720*b^10*c^4*e^2 - 4088565760*b^10*c^3*d^2*e + 1498193920*b^10*c^2*d^4 + 186437693440*b^10*c*d*e^3 - 
    228520222720*b^10*d^3*e^2 + 276480*b^9*c^8 - 262133760*b^9*c^5*d*e - 283545600*b^9*c^4*d^3 - 186032015360*b^9*c^3*e^3 + 
    153327493120*b^9*c^2*d^2*e^2 + 190831820800*b^9*c*d^4*e - 31081889792*b^9*d^6 - 822812160000*b^9*d*e^4 + 
    351467520*b^8*c^7*e - 41364480*b^8*c^6*d^2 + 158713600000*b^8*c^4*d*e^2 - 283188387840*b^8*c^3*d^3*e + 
    47923953664*b^8*c^2*d^5 + 3512569984000*b^8*c^2*e^4 - 4428259123200*b^8*c*d^2*e^3 + 1214750228480*b^8*d^4*e^2 - 
    819200*b^7*c^8*d - 17234821120*b^7*c^6*e^2 + 56691916800*b^7*c^5*d^2*e - 4525096960*b^7*c^4*d^4 + 
    2121789440000*b^7*c^3*d*e^3 + 1841698242560*b^7*c^2*d^3*e^2 - 1380926750720*b^7*c*d^5*e - 8248012800000*b^7*c*e^5 + 
    139122966528*b^7*d^7 - 1089679360000*b^7*d^2*e^4 - 5702451200*b^6*c^7*d*e - 2575155200*b^6*c^6*d^3 - 
    1197432504320*b^6*c^5*e^3 - 2250435297280*b^6*c^4*d^2*e^2 + 1708252856320*b^6*c^3*d^4*e - 175201452032*b^6*c^2*d^6 - 
    22841088000000*b^6*c^2*d*e^4 + 22439084032000*b^6*c*d^3*e^3 - 8376738775040*b^6*d^5*e^2 + 214528000000*b^6*e^6 + 
    885391360*b^5*c^9*e + 659783680*b^5*c^8*d^2 + 1610552115200*b^5*c^6*d*e^2 - 1123801825280*b^5*c^5*d^3*e + 
    127999148032*b^5*c^4*d^5 + 27872317440000*b^5*c^4*e^4 - 10960592896000*b^5*c^3*d^2*e^3 - 1428003225600*b^5*c^2*d^4*e^2 + 
    7171177185280*b^5*c*d^6*e + 26445824000000*b^5*c*d*e^5 - 896029163520*b^5*d^8 + 8282521600000*b^5*d^3*e^4 - 
    83623936*b^4*c^10*d - 214578626560*b^4*c^8*e^2 + 117558476800*b^4*c^7*d^2*e + 12523438080*b^4*c^6*d^4 - 
    11183308800000*b^4*c^5*d*e^3 + 11372781568000*b^4*c^4*d^3*e^2 - 12651821137920*b^4*c^3*d^5*e - 
    104539136000000*b^4*c^3*e^5 + 1784123228160*b^4*c^2*d^7 + 80254464000000*b^4*c^2*d^2*e^4 - 94327193600000*b^4*c*d^4*e^3 +
    37755617280000*b^4*d^6*e^2 + 45312000000000*b^4*d*e^6 + 2097152*b^3*c^12 + 21290024960*b^3*c^9*d*e - 
    17897881600*b^3*c^8*d^3 + 35815424000*b^3*c^7*e^3 - 3329176371200*b^3*c^6*d^2*e^2 + 8713566945280*b^3*c^5*d^4*e - 
    1417600040960*b^3*c^4*d^6 - 25874432000000*b^3*c^4*d*e^4 + 76491980800000*b^3*c^3*d^3*e^3 + 873791488000*b^3*c^2*d^5*e^2 
    + 110182400000000*b^3*c^2*e^6 - 30025082470400*b^3*c*d^7*e - 65822720000000*b^3*c*d^2*e^5 + 4189438607360*b^3*d^9 + 
    97374208000000*b^3*d^4*e^4 - 2233466880*b^2*c^11*e + 3570663424*b^2*c^10*d^2 + 2222555136000*b^2*c^8*d*e^2 - 
    4334488125440*b^2*c^7*d^3*e + 770678456320*b^2*c^6*d^5 + 56697651200000*b^2*c^6*e^4 - 23700111360000*b^2*c^5*d^2*e^3 - 
    62467440640000*b^2*c^4*d^4*e^2 + 51230670848000*b^2*c^3*d^6*e + 131276800000000*b^2*c^3*d*e^5 - 7333457428480*b^2*c^2*d^8
    - 402714624000000*b^2*c^2*d^3*e^4 + 189146726400000*b^2*c*d^5*e^3 + 107520000000000*b^2*c*e^7 - 
    51565035520000*b^2*d^7*e^2 - 152576000000000*b^2*d^2*e^6 - 344457216*b*c^12*d - 348216360960*b*c^10*e^2 + 
    861059153920*b*c^9*d^2*e - 168967536640*b*c^8*d^4 - 39496908800000*b*c^7*d*e^3 + 59582840832000*b*c^6*d^3*e^2 - 
    31117989642240*b*c^5*d^5*e - 244293632000000*b*c^5*e^5 + 4372997079040*b*c^4*d^7 + 305651712000000*b*c^4*d^2*e^4 + 
    19324928000000*b*c^3*d^4*e^3 - 119570432000000*b*c^2*d^6*e^2 - 409600000000000*b*c^2*d*e^6 + 55636393984000*b*c*d^8*e + 
    885555200000000*b*c*d^3*e^5 - 6636060016640*b*d^10 - 377339904000000*b*d^5*e^4 - 153600000000000*b*e^8 + 14155776*c^14 - 
    51055165440*c^11*d*e + 11480596480*c^10*d^3 + 5473239040000*c^9*e^3 - 7891582976000*c^8*d^2*e^2 + 4103431782400*c^7*d^4*e
    - 601566740480*c^6*d^6 + 128659456000000*c^6*d*e^4 - 229254758400000*c^5*d^3*e^3 + 151214817280000*c^4*d^5*e^2 + 
    216064000000000*c^4*e^6 - 45731807232000*c^3*d^7*e - 137625600000000*c^3*d^2*e^5 + 4967943372800*c^2*d^9 - 
    244264960000000*c^2*d^4*e^4 + 190545920000000*c*d^6*e^3 + 256000000000000*c*d*e^7 - 27708620800000*d^8*e^2 - 
    471040000000000*d^3*e^6
;
M[5][5,4] :=
                                -M[5][4,5];
  return M;
end function;
