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  920653488*x^71*z^224 + 1514657880*x^72*z^224 + 103606216*x^73*z^224 - 
  110402360*x^74*z^224 - 7866016*x^75*z^224 + 2432*x^67*z^225 - 
  496768*x^68*z^225 + 2473104*x^69*z^225 + 61853332*x^70*z^225 - 
  410842376*x^71*z^225 + 525204684*x^72*z^225 + 286009120*x^73*z^225 - 
  119028480*x^74*z^225 - 7231456*x^75*z^225 - 37376*x^68*z^226 - 
  419632*x^69*z^226 + 21330096*x^70*z^226 - 117322496*x^71*z^226 + 
  80719064*x^72*z^226 + 273014304*x^73*z^226 - 87687376*x^74*z^226 - 
  7866016*x^75*z^226 - 1792*x^68*z^227 - 119040*x^69*z^227 + 
  4260960*x^70*z^227 - 19987320*x^71*z^227 - 27233968*x^72*z^227 + 
  164244104*x^73*z^227 - 40422112*x^74*z^227 - 8787024*x^75*z^227 - 
  11712*x^69*z^228 + 527104*x^70*z^228 - 1054552*x^71*z^228 - 
  22719400*x^72*z^228 + 68064792*x^73*z^228 - 6500088*x^74*z^228 - 
  8301184*x^75*z^228 - 256*x^69*z^229 + 39040*x^70*z^229 + 
  355312*x^71*z^229 - 7781136*x^72*z^229 + 19234912*x^73*z^229 + 
  5880688*x^74*z^229 - 6059904*x^75*z^229 + 1792*x^70*z^230 + 
  92288*x^71*z^230 - 1604408*x^72*z^230 + 3293552*x^73*z^230 + 
  5615432*x^74*z^230 - 3287072*x^75*z^230 + 9216*x^71*z^231 - 
  205120*x^72*z^231 + 146992*x^73*z^231 + 2624304*x^74*z^231 - 
  1278640*x^75*z^231 + 256*x^71*z^232 - 15744*x^72*z^232 - 77728*x^73*z^232 + 
  804736*x^74*z^232 - 336576*x^75*z^232 - 704*x^72*z^233 - 20368*x^73*z^233 + 
  171808*x^74*z^233 - 53200*x^75*z^233 - 2112*x^73*z^234 + 25536*x^74*z^234 - 
  3584*x^75*z^234 - 64*x^73*z^235 + 2496*x^74*z^235 + 64*x^75*z^235 + 
  128*x^74*z^236)/((-1 + x)^2*(-1 + x*z^6)^2*
  (-1 + 2*x*z + 6*x*z^2 - x^2*z^2 + 4*x*z^3 - 8*x^2*z^3 + x*z^4 - 
    16*x^2*z^4 + 2*x^3*z^4 - 10*x^2*z^5 + 9*x^3*z^5 - 8*x^2*z^6 + 
    13*x^3*z^6 + x^4*z^6 - 2*x^2*z^7 + 14*x^3*z^7 + 5*x^4*z^7 + 21*x^3*z^8 + 
    2*x^4*z^8 - 4*x^5*z^8 + 6*x^3*z^9 - 18*x^4*z^9 - 14*x^5*z^9 + x^3*z^10 - 
    13*x^4*z^10 - 12*x^5*z^10 + x^6*z^10 + 5*x^4*z^11 - 33*x^5*z^11 + 
    x^6*z^11 + x^4*z^12 - 68*x^5*z^12 + 8*x^6*z^12 + 2*x^7*z^12 - 
    62*x^5*z^13 + 50*x^6*z^13 + 6*x^7*z^13 - 15*x^5*z^14 + 73*x^6*z^14 + 
    3*x^7*z^14 - x^8*z^14 - x^5*z^15 + 31*x^6*z^15 - 3*x^7*z^15 + 
    2*x^8*z^15 - 11*x^6*z^16 + 28*x^7*z^16 - 5*x^8*z^16 - 2*x^6*z^17 + 
    63*x^7*z^17 - 32*x^8*z^17 - 3*x^9*z^17 + 38*x^7*z^18 - 58*x^8*z^18 + 
    2*x^9*z^18 + 3*x^7*z^19 - 24*x^8*z^19 + 18*x^9*z^19 + 2*x^8*z^20 - 
    14*x^9*z^20 + 4*x^8*z^21 - 35*x^9*z^21 + 18*x^10*z^21 - 12*x^9*z^22 + 
    30*x^10*z^22 - 4*x^9*z^23 + 8*x^10*z^23 + 4*x^11*z^23 - 6*x^10*z^24 + 
    12*x^11*z^24 + 10*x^11*z^25 + 2*x^11*z^26)^2*
  (-1 + x*z^2 + 4*x*z^3 + 6*x*z^4 + 2*x*z^5 - 2*x^2*z^5 - 8*x^2*z^6 - 
    10*x^2*z^7 - 16*x^2*z^8 + x^3*z^8 - 8*x^2*z^9 + 6*x^3*z^9 - x^2*z^10 + 
    21*x^3*z^10 + 14*x^3*z^11 + 13*x^3*z^12 + x^4*z^12 + 9*x^3*z^13 + 
    5*x^4*z^13 + 2*x^3*z^14 - 13*x^4*z^14 - 18*x^4*z^15 - x^5*z^15 + 
    2*x^4*z^16 - 15*x^5*z^16 + 5*x^4*z^17 - 62*x^5*z^17 + x^4*z^18 - 
    68*x^5*z^18 - 33*x^5*z^19 - 2*x^6*z^19 - 12*x^5*z^20 - 11*x^6*z^20 - 
    14*x^5*z^21 + 31*x^6*z^21 - 4*x^5*z^22 + 73*x^6*z^22 + 50*x^6*z^23 + 
    3*x^7*z^23 + 8*x^6*z^24 + 38*x^7*z^24 + x^6*z^25 + 63*x^7*z^25 + 
    x^6*z^26 + 28*x^7*z^26 - 3*x^7*z^27 + 4*x^8*z^27 + 3*x^7*z^28 + 
    2*x^8*z^28 + 6*x^7*z^29 - 24*x^8*z^29 + 2*x^7*z^30 - 58*x^8*z^30 - 
    32*x^8*z^31 - 4*x^9*z^31 - 5*x^8*z^32 - 12*x^9*z^32 + 2*x^8*z^33 - 
    35*x^9*z^33 - x^8*z^34 - 14*x^9*z^34 + 18*x^9*z^35 + 2*x^9*z^36 - 
    6*x^10*z^36 - 3*x^9*z^37 + 8*x^10*z^37 + 30*x^10*z^38 + 18*x^10*z^39 + 
    2*x^11*z^40 + 10*x^11*z^41 + 12*x^11*z^42 + 4*x^11*z^43)^2*
  (-1 + x*z + 7*x*z^2 + 14*x*z^3 - 6*x^2*z^3 + 7*x*z^4 - 34*x^2*z^4 + x*z^5 - 
   91*x^2*z^5 + 15*x^3*z^5 - 121*x^2*z^6 + 103*x^3*z^6 - 91*x^2*z^7 + 
   318*x^3*z^7 - 20*x^4*z^7 - 34*x^2*z^8 + 589*x^3*z^8 - 179*x^4*z^8 - 
   6*x^2*z^9 + 722*x^3*z^9 - 671*x^4*z^9 + 15*x^5*z^9 + 589*x^3*z^10 - 
   1520*x^4*z^10 + 176*x^5*z^10 + 318*x^3*z^11 - 2398*x^4*z^11 + 
   818*x^5*z^11 - 6*x^6*z^11 + 103*x^3*z^12 - 2802*x^4*z^12 + 2220*x^5*z^12 - 
   92*x^6*z^12 + 15*x^3*z^13 - 2398*x^4*z^13 + 4164*x^5*z^13 - 518*x^6*z^13 + 
   x^7*z^13 - 1520*x^4*z^14 + 5927*x^5*z^14 - 1616*x^6*z^14 + 19*x^7*z^14 - 
   671*x^4*z^15 + 6614*x^5*z^15 - 3371*x^6*z^15 + 104*x^7*z^15 - 
   179*x^4*z^16 + 5927*x^5*z^16 - 5126*x^6*z^16 + 198*x^7*z^16 + 2*x^8*z^16 - 
   20*x^4*z^17 + 4164*x^5*z^17 - 6202*x^6*z^17 - 115*x^7*z^17 + 47*x^8*z^17 + 
   2220*x^5*z^18 - 6533*x^6*z^18 - 1756*x^7*z^18 + 449*x^8*z^18 - x^9*z^18 + 
   818*x^5*z^19 - 6202*x^6*z^19 - 5357*x^7*z^19 + 2211*x^8*z^19 - 
   22*x^9*z^19 + 176*x^5*z^20 - 5126*x^6*z^20 - 9594*x^7*z^20 + 
   7033*x^8*z^20 - 220*x^9*z^20 + 15*x^5*z^21 - 3371*x^6*z^21 - 
   11448*x^7*z^21 + 16376*x^8*z^21 - 1250*x^9*z^21 + x^10*z^21 - 
   1616*x^6*z^22 - 9594*x^7*z^22 + 29310*x^8*z^22 - 4543*x^9*z^22 + 
   8*x^10*z^22 - 518*x^6*z^23 - 5357*x^7*z^23 + 41281*x^8*z^23 - 
   11621*x^9*z^23 + 41*x^10*z^23 - 92*x^6*z^24 - 1756*x^7*z^24 + 
   46358*x^8*z^24 - 22121*x^9*z^24 + 139*x^10*z^24 + 6*x^11*z^24 - 
   6*x^6*z^25 - 115*x^7*z^25 + 41281*x^8*z^25 - 33335*x^9*z^25 + 
   123*x^10*z^25 + 94*x^11*z^25 + 198*x^7*z^26 + 29310*x^8*z^26 - 
   41683*x^9*z^26 - 1568*x^10*z^26 + 662*x^11*z^26 + 104*x^7*z^27 + 
   16376*x^8*z^27 - 44664*x^9*z^27 - 8223*x^10*z^27 + 2926*x^11*z^27 - 
   8*x^12*z^27 + 19*x^7*z^28 + 7033*x^8*z^28 - 41683*x^9*z^28 - 
   21575*x^10*z^28 + 9379*x^11*z^28 - 101*x^12*z^28 + x^7*z^29 + 
   2211*x^8*z^29 - 33335*x^9*z^29 - 37010*x^10*z^29 + 23614*x^11*z^29 - 
   689*x^12*z^29 + 449*x^8*z^30 - 22121*x^9*z^30 - 44276*x^10*z^30 + 
   48255*x^11*z^30 - 2999*x^12*z^30 - 11*x^13*z^30 + 47*x^8*z^31 - 
   11621*x^9*z^31 - 37010*x^10*z^31 + 81182*x^11*z^31 - 8849*x^12*z^31 - 
   120*x^13*z^31 + 2*x^8*z^32 - 4543*x^9*z^32 - 21575*x^10*z^32 + 
   111430*x^11*z^32 - 18532*x^12*z^32 - 554*x^13*z^32 - 1250*x^9*z^33 - 
   8223*x^10*z^33 + 123662*x^11*z^33 - 29058*x^12*z^33 - 1646*x^13*z^33 + 
   21*x^14*z^33 - 220*x^9*z^34 - 1568*x^10*z^34 + 111430*x^11*z^34 - 
   35529*x^12*z^34 - 4366*x^13*z^34 + 241*x^14*z^34 - 22*x^9*z^35 + 
   123*x^10*z^35 + 81182*x^11*z^35 - 36795*x^12*z^35 - 12158*x^13*z^35 + 
   1324*x^14*z^35 - x^9*z^36 + 139*x^10*z^36 + 48255*x^11*z^36 - 
   36530*x^12*z^36 - 31478*x^13*z^36 + 4523*x^14*z^36 + 3*x^15*z^36 + 
   41*x^10*z^37 + 23614*x^11*z^37 - 36795*x^12*z^37 - 64611*x^13*z^37 + 
   11143*x^14*z^37 - 22*x^15*z^37 + 8*x^10*z^38 + 9379*x^11*z^38 - 
   35529*x^12*z^38 - 99177*x^13*z^38 + 22001*x^14*z^38 - 369*x^15*z^38 + 
   x^10*z^39 + 2926*x^11*z^39 - 29058*x^12*z^39 - 114024*x^13*z^39 + 
   37501*x^14*z^39 - 1778*x^15*z^39 - 21*x^16*z^39 + 662*x^11*z^40 - 
   18532*x^12*z^40 - 99177*x^13*z^40 + 56062*x^14*z^40 - 4342*x^15*z^40 - 
   205*x^16*z^40 + 94*x^11*z^41 - 8849*x^12*z^41 - 64611*x^13*z^41 + 
   73105*x^14*z^41 - 4785*x^15*z^41 - 879*x^16*z^41 + 6*x^11*z^42 - 
   2999*x^12*z^42 - 31478*x^13*z^42 + 80630*x^14*z^42 + 3605*x^15*z^42 - 
   2069*x^16*z^42 + 8*x^17*z^42 - 689*x^12*z^43 - 12158*x^13*z^43 + 
   73105*x^14*z^43 + 23632*x^15*z^43 - 3132*x^16*z^43 + 131*x^17*z^43 - 
   101*x^12*z^44 - 4366*x^13*z^44 + 56062*x^14*z^44 + 47167*x^15*z^44 - 
   4581*x^16*z^44 + 788*x^17*z^44 - 8*x^12*z^45 - 1646*x^13*z^45 + 
   37501*x^14*z^45 + 58084*x^15*z^45 - 10333*x^16*z^45 + 2580*x^17*z^45 + 
   6*x^18*z^45 - 554*x^13*z^46 + 22001*x^14*z^46 + 47167*x^15*z^46 - 
   24153*x^16*z^46 + 4810*x^17*z^46 + 45*x^18*z^46 - 120*x^13*z^47 + 
   11143*x^14*z^47 + 23632*x^15*z^47 - 41966*x^16*z^47 + 4153*x^17*z^47 + 
   82*x^18*z^47 - 11*x^13*z^48 + 4523*x^14*z^48 + 3605*x^15*z^48 - 
   50606*x^16*z^48 - 2887*x^17*z^48 - 386*x^18*z^48 - 5*x^19*z^48 + 
   1324*x^14*z^49 - 4785*x^15*z^49 - 41966*x^16*z^49 - 15430*x^17*z^49 - 
   2374*x^18*z^49 - 69*x^19*z^49 + 241*x^14*z^50 - 4342*x^15*z^50 - 
   24153*x^16*z^50 - 28297*x^17*z^50 - 5434*x^18*z^50 - 388*x^19*z^50 + 
   21*x^14*z^51 - 1778*x^15*z^51 - 10333*x^16*z^51 - 34026*x^17*z^51 - 
   5198*x^18*z^51 - 1136*x^19*z^51 + x^20*z^51 - 369*x^15*z^52 - 
   4581*x^16*z^52 - 28297*x^17*z^52 + 2526*x^18*z^52 - 1511*x^19*z^52 + 
   12*x^20*z^52 - 22*x^15*z^53 - 3132*x^16*z^53 - 15430*x^17*z^53 + 
   13881*x^18*z^53 + 684*x^19*z^53 + 103*x^20*z^53 + 3*x^15*z^54 - 
   2069*x^16*z^54 - 2887*x^17*z^54 + 19238*x^18*z^54 + 6750*x^19*z^54 + 
   542*x^20*z^54 - 879*x^16*z^55 + 4153*x^17*z^55 + 13881*x^18*z^55 + 
   14267*x^19*z^55 + 1869*x^20*z^55 + 7*x^21*z^55 - 205*x^16*z^56 + 
   4810*x^17*z^56 + 2526*x^18*z^56 + 19505*x^19*z^56 + 3962*x^20*z^56 + 
   63*x^21*z^56 - 21*x^16*z^57 + 2580*x^17*z^57 - 5198*x^18*z^57 + 
   21202*x^19*z^57 + 4620*x^20*z^57 + 234*x^21*z^57 + 788*x^17*z^58 - 
   5434*x^18*z^58 + 19505*x^19*z^58 + 1434*x^20*z^58 + 330*x^21*z^58 - 
   2*x^22*z^58 + 131*x^17*z^59 - 2374*x^18*z^59 + 14267*x^19*z^59 - 
   4007*x^20*z^59 - 457*x^21*z^59 - 20*x^22*z^59 + 8*x^17*z^60 - 
   386*x^18*z^60 + 6750*x^19*z^60 - 6680*x^20*z^60 - 2931*x^21*z^60 - 
   128*x^22*z^60 + 82*x^18*z^61 + 684*x^19*z^61 - 4007*x^20*z^61 - 
   5976*x^21*z^61 - 519*x^22*z^61 + 45*x^18*z^62 - 1511*x^19*z^62 + 
   1434*x^20*z^62 - 7537*x^21*z^62 - 1345*x^22*z^62 - 5*x^23*z^62 + 
   6*x^18*z^63 - 1136*x^19*z^63 + 4620*x^20*z^63 - 7758*x^21*z^63 - 
   2206*x^22*z^63 - 44*x^23*z^63 - 388*x^19*z^64 + 3962*x^20*z^64 - 
   7537*x^21*z^64 - 2014*x^22*z^64 - 155*x^23*z^64 - 69*x^19*z^65 + 
   1869*x^20*z^65 - 5976*x^21*z^65 - 552*x^22*z^65 - 235*x^23*z^65 + 
   x^24*z^65 - 5*x^19*z^66 + 542*x^20*z^66 - 2931*x^21*z^66 + 354*x^22*z^66 + 
   17*x^23*z^66 + 9*x^24*z^66 + 103*x^20*z^67 - 457*x^21*z^67 - 
   552*x^22*z^67 + 711*x^23*z^67 + 58*x^24*z^67 + 12*x^20*z^68 + 
   330*x^21*z^68 - 2014*x^22*z^68 + 1477*x^23*z^68 + 223*x^24*z^68 + 
   x^20*z^69 + 234*x^21*z^69 - 2206*x^22*z^69 + 1796*x^23*z^69 + 
   524*x^24*z^69 + 3*x^25*z^69 + 63*x^21*z^70 - 1345*x^22*z^70 + 
   1477*x^23*z^70 + 765*x^24*z^70 + 29*x^25*z^70 + 7*x^21*z^71 - 
   519*x^22*z^71 + 711*x^23*z^71 + 759*x^24*z^71 + 121*x^25*z^71 - 
   128*x^22*z^72 + 17*x^23*z^72 + 698*x^24*z^72 + 261*x^25*z^72 - 
   20*x^22*z^73 - 235*x^23*z^73 + 759*x^24*z^73 + 297*x^25*z^73 + 
   3*x^26*z^73 - 2*x^22*z^74 - 155*x^23*z^74 + 765*x^24*z^74 + 
   165*x^25*z^74 + 21*x^26*z^74 - 44*x^23*z^75 + 524*x^24*z^75 + 
   70*x^25*z^75 + 57*x^26*z^75 - 5*x^23*z^76 + 223*x^24*z^76 + 
   165*x^25*z^76 + 67*x^26*z^76 + 58*x^24*z^77 + 297*x^25*z^77 + 
   20*x^26*z^77 + x^27*z^77 + 9*x^24*z^78 + 261*x^25*z^78 - 17*x^26*z^78 + 
   4*x^27*z^78 + x^24*z^79 + 121*x^25*z^79 + 20*x^26*z^79 + 6*x^27*z^79 + 
   29*x^25*z^80 + 67*x^26*z^80 + 2*x^27*z^80 + 3*x^25*z^81 + 57*x^26*z^81 - 
   2*x^27*z^81 + 21*x^26*z^82 + 2*x^27*z^82 + 3*x^26*z^83 + 6*x^27*z^83 + 
   4*x^27*z^84 + x^27*z^85))
