(**********************************************************
 *                                                        *
 *     MATHEMATICA program TernarySquareFreeGenFun.m      *
 *                                                        *
 *     CONTENT:                                           *
 *     This program contains definitions of               *
 *     generating functions genfun[l,x] of                *
 *     length-l square-free ternary words.                *
 *                                                        *
 *     DISCLAIMER:                                        *
 *     The program has been checked by the                *
 *     author, but no guarantee can be given              *
 *     that results are indeed correct - so               *
 *     use at your own risk!                              *
 *                                                        *
 *     AUTHOR:                                            *
 *     Uwe Grimm                                          *
 *     Applied Mathematics Department                     *
 *     Faculty of Mathematics and Computing               *
 *     The Open University                                *
 *     Walton Hall                                        *
 *     Milton Keynes MK7 6AA                              *
 *     UK                                                 *
 *                                                        *
 *     Please send any comments, bug reports,             *
 *     etc. to: u.g.grimm@open.ac.uk                      *
 *                                                        *
 *     Version 1.0                                        *
 *     February 24, 2003                                  *
 *                                                        *
 **********************************************************)

Clear[genfun];

genfun[0,x_] := -1/(-1+3*x);

genfun[1,x_] := -((1 + x)/(-1 + 2*x));
 
genfun[2,x_] := -((1 + 2*x + 2*x^2 + 3*x^3)/(-1 + x + x^2));
 
genfun[3,x_] := -(((1 + x + 2*x^2)*(1 + x + 3*x^3))/(-1 + x + x^3));
 
genfun[4,x_] :=
     (-1 - 3*x - 6*x^2 - 11*x^3 - 14*x^4 - 20*x^5 - 20*x^6 - 21*x^7 - 
      12*x^8 - 6*x^9 + 6*x^10 + 6*x^11 + 6*x^12 + 6*x^13)/
     ((1 + x + x^2)*(-1 + x + x^4));
 
genfun[5,x_] :=
    (-1 - 3*x - 6*x^2 - 11*x^3 - 14*x^4 - 20*x^5 - 20*x^6 - 21*x^7 - 
      12*x^8 - 6*x^9 + 6*x^10 + 6*x^11 + 6*x^12 + 6*x^13)/
     ((1 + x + x^2)*(-1 + x + x^4));
 
genfun[6,x_] :=
     -((-1 - 3*x - 6*x^2 - 12*x^3 - 17*x^4 - 26*x^5 - 32*x^6 - 38*x^7 - 
       38*x^8 - 38*x^9 - 33*x^10 - 36*x^11 - 25*x^12 - 9*x^13 + 5*x^15 + 
       15*x^16 + 12*x^17 + 6*x^19 + 18*x^20 - 6*x^22 + 6*x^24 + 6*x^27)/
       (1 - x^4 - x^5 - x^6 - x^7 - x^8 - x^9 + x^12 + x^15));
 
genfun[7,x_] :=
     -((-1 - 3*x - 6*x^2 - 12*x^3 - 17*x^4 - 26*x^5 - 32*x^6 - 38*x^7 - 
       38*x^8 - 38*x^9 - 33*x^10 - 36*x^11 - 25*x^12 - 9*x^13 + 5*x^15 + 
       15*x^16 + 12*x^17 + 6*x^19 + 18*x^20 - 6*x^22 + 6*x^24 + 6*x^27)/
       (1 - x^4 - x^5 - x^6 - x^7 - x^8 - x^9 + x^12 + x^15));
 
genfun[8,x_] :=
     -((-1 - 3*x - 6*x^2 - 12*x^3 - 18*x^4 - 29*x^5 - 38*x^6 - 50*x^7 - 
       56*x^8 - 67*x^9 - 71*x^10 - 86*x^11 - 81*x^12 - 76*x^13 - 72*x^14 - 
       85*x^15 - 51*x^16 - 36*x^17 - 36*x^18 - 25*x^19 + 39*x^20 + 18*x^21 + 
       30*x^23 + 66*x^24 + 6*x^25 - 6*x^26 + 24*x^27 + 24*x^28 - 24*x^29 - 
       18*x^30 + 6*x^31 - 6*x^32 - 12*x^33 + 6*x^38)/
      ((1 - x + x^2)*(1 + x - x^3 - x^4 - x^5 - x^6 - x^7 - x^8 - 2*x^9 - 
       2*x^10 - x^11 + x^12 - x^14 + x^16 + x^17)));
 
genfun[9,x_] :=
     -((-1 - 3*x - 6*x^2 - 12*x^3 - 18*x^4 - 29*x^5 - 38*x^6 - 50*x^7 - 
       56*x^8 - 67*x^9 - 71*x^10 - 86*x^11 - 81*x^12 - 76*x^13 - 72*x^14 - 
       85*x^15 - 51*x^16 - 36*x^17 - 36*x^18 - 25*x^19 + 39*x^20 + 18*x^21 + 
       30*x^23 + 66*x^24 + 6*x^25 - 6*x^26 + 24*x^27 + 24*x^28 - 24*x^29 - 
       18*x^30 + 6*x^31 - 6*x^32 - 12*x^33 + 6*x^38)/
      ((1 - x + x^2)*(1 + x - x^3 - x^4 - x^5 - x^6 - x^7 - x^8 - 2*x^9 - 
       2*x^10 - x^11 + x^12 - x^14 + x^16 + x^17)));
 
genfun[10,x_] :=
     -((-1 - 3*x - 6*x^2 - 12*x^3 - 18*x^4 - 29*x^5 - 38*x^6 - 50*x^7 - 
       56*x^8 - 67*x^9 - 71*x^10 - 86*x^11 - 81*x^12 - 76*x^13 - 72*x^14 - 
       85*x^15 - 51*x^16 - 36*x^17 - 36*x^18 - 25*x^19 + 39*x^20 + 18*x^21 + 
       30*x^23 + 66*x^24 + 6*x^25 - 6*x^26 + 24*x^27 + 24*x^28 - 24*x^29 - 
       18*x^30 + 6*x^31 - 6*x^32 - 12*x^33 + 6*x^38)/
      ((1 - x + x^2)*(1 + x - x^3 - x^4 - x^5 - x^6 - x^7 - x^8 - 2*x^9 - 
        2*x^10 - x^11 + x^12 - x^14 + x^16 + x^17)));
 
genfun[11,x_] :=
     -((1 + 3*x + 6*x^2 + 12*x^3 + 18*x^4 + 29*x^5 + 38*x^6 + 50*x^7 + 
       56*x^8 + 67*x^9 + 71*x^10 + 87*x^11 + 84*x^12 + 82*x^13 + 84*x^14 + 
       103*x^15 + 81*x^16 + 78*x^17 + 95*x^18 + 101*x^19 + 66*x^20 + 
       121*x^21 + 133*x^22 + 109*x^23 + 70*x^24 + 115*x^25 + 111*x^26 + 
       34*x^27 + 10*x^28 + 42*x^29 + 44*x^30 + 15*x^31 + 48*x^32 + 23*x^33 + 
       45*x^34 + 126*x^35 + 97*x^36 + 52*x^37 + 123*x^38 + 96*x^39 + 
       86*x^40 + 18*x^41 + 60*x^42 - 58*x^43 + 17*x^44 - 27*x^45 - 174*x^46 - 
       148*x^47 - 6*x^48 - 90*x^49 - 216*x^50 - 48*x^51 - 6*x^52 - 60*x^53 - 
       73*x^54 - 80*x^55 - 63*x^56 - 24*x^57 + 5*x^58 - 69*x^59 - 24*x^60 + 
       42*x^61 - 36*x^62 - 6*x^63 + 48*x^64 - 60*x^65 + 36*x^66 + 42*x^67 + 
       60*x^68 - 30*x^69 + 18*x^70 + 30*x^71 - 6*x^72 - 18*x^73 - 12*x^74 - 
       18*x^75 + 48*x^76 - 24*x^77 - 6*x^78 - 18*x^79 + 30*x^80 + 6*x^81)/
      (-1 + x^5 + x^6 + x^7 + x^8 + 2*x^9 + x^10 + 2*x^13 - x^15 + x^18 - 
       2*x^19 - x^21 + 2*x^22 - x^23 - x^24 + 2*x^25 + 3*x^26 - x^27 - x^28 + 
       3*x^29 + x^30 + x^33 - x^36 - x^37 - 2*x^40 - 2*x^43 + x^44 - 2*x^47 + 
       x^54 - x^55 + x^58));

genfun[12,x_] :=
     (-1 - 3*x - 6*x^2 - 12*x^3 - 18*x^4 - 29*x^5 - 38*x^6 - 50*x^7 - 
      56*x^8 - 67*x^9 - 71*x^10 - 87*x^11 - 85*x^12 - 85*x^13 - 90*x^14 - 
      115*x^15 - 99*x^16 - 108*x^17 - 136*x^18 - 158*x^19 - 138*x^20 - 
      217*x^21 - 258*x^22 - 281*x^23 - 216*x^24 - 245*x^25 - 227*x^26 - 
      143*x^27 - 68*x^28 - 85*x^29 - 117*x^30 - 101*x^31 - 138*x^32 - 
      168*x^33 - 240*x^34 - 377*x^35 - 273*x^36 - 219*x^37 - 300*x^38 - 
      234*x^39 - 226*x^40 - 54*x^41 - 200*x^42 - 79*x^43 - 174*x^44 + 
      147*x^45 + 140*x^46 + 193*x^47 + 61*x^48 + 262*x^49 + 323*x^50 + 
      265*x^51 + 144*x^52 + 179*x^53 + 246*x^54 + 114*x^55 + 12*x^56 - 
      46*x^57 - 233*x^58 - 138*x^59 - 39*x^60 - 307*x^61 - 320*x^62 - 
      333*x^63 - 325*x^64 - 501*x^65 - 611*x^66 - 411*x^67 - 308*x^68 - 
      180*x^69 - 113*x^70 - 64*x^71 - 51*x^72 + 198*x^73 + 197*x^74 + 
      321*x^75 + 318*x^76 + 432*x^77 + 581*x^78 + 396*x^79 + 609*x^80 + 
      366*x^81 + 537*x^82 + 382*x^83 + 99*x^84 + 18*x^85 + 102*x^86 + 
      78*x^87 + 138*x^88 - 72*x^89 - 274*x^90 - 421*x^91 - 609*x^92 - 
      450*x^93 - 589*x^94 - 136*x^95 + 141*x^96 + 48*x^97 - 24*x^98 - 
      60*x^99 - 168*x^100 + 120*x^101 + 181*x^102 + 351*x^103 + 294*x^104 + 
      396*x^105 + 248*x^106 - 66*x^107 - 144*x^108 - 60*x^109 + 18*x^110 + 
      48*x^111 + 168*x^112 - 18*x^113 + 42*x^114 - 120*x^115 + 24*x^116 - 
      204*x^117 + 12*x^118 + 72*x^119 + 48*x^120 + 24*x^121 - 36*x^123 - 
      42*x^124 - 36*x^126 - 60*x^128 + 12*x^129 - 48*x^130 - 48*x^131 - 
      6*x^132 + 12*x^135 + 6*x^143)/(-1 + x^5 + x^6 + x^7 + x^8 + 2*x^9 + 
      x^10 - x^12 + 2*x^13 - x^15 + 2*x^18 - 2*x^19 - x^21 + 3*x^22 - 
      2*x^23 + x^25 + 4*x^26 + x^27 + x^28 + 2*x^29 + 3*x^30 + 4*x^31 + 
      x^35 - 3*x^37 - 3*x^38 + 3*x^39 - x^40 - 3*x^41 - 5*x^42 - 4*x^43 - 
      3*x^45 - x^46 - 2*x^47 + x^48 + x^49 + 2*x^50 + x^51 + 3*x^52 + 
      2*x^53 + 6*x^54 + 6*x^55 + 2*x^57 + x^58 + 9*x^59 - x^61 + x^62 - 
      x^64 - 5*x^66 - 6*x^67 - 2*x^68 - 5*x^70 - 13*x^71 - x^74 + 5*x^78 + 
      3*x^79 + 9*x^82 + 7*x^83 - 4*x^90 - x^91 - 7*x^94 - x^95 + x^102 + 
      2*x^106);

genfun[13,x_] :=
     (1 + 3*x + 6*x^2 + 12*x^3 + 18*x^4 + 29*x^5 + 38*x^6 + 50*x^7 + 
      56*x^8 + 67*x^9 + 71*x^10 + 87*x^11 + 85*x^12 + 86*x^13 + 93*x^14 + 
      121*x^15 + 111*x^16 + 126*x^17 + 165*x^18 + 197*x^19 + 192*x^20 + 
      282*x^21 + 345*x^22 + 389*x^23 + 366*x^24 + 431*x^25 + 382*x^26 + 
      295*x^27 + 226*x^28 + 223*x^29 + 202*x^30 + 173*x^31 + 227*x^32 + 
      283*x^33 + 407*x^34 + 632*x^35 + 664*x^36 + 641*x^37 + 664*x^38 + 
      642*x^39 + 746*x^40 + 530*x^41 + 686*x^42 + 607*x^43 + 948*x^44 + 
      658*x^45 + 625*x^46 + 457*x^47 + 719*x^48 + 346*x^49 + 19*x^50 - 
      154*x^51 - 74*x^52 - 197*x^53 - 293*x^54 - 203*x^55 + 7*x^56 + 
      366*x^57 + 873*x^58 + 1043*x^59 + 1074*x^60 + 1421*x^61 + 1788*x^62 + 
      1621*x^63 + 1101*x^64 + 880*x^65 + 1138*x^66 + 645*x^67 + 613*x^68 - 
      259*x^69 + 95*x^70 - 416*x^71 - 31*x^72 - 940*x^73 - 690*x^74 - 
      1474*x^75 - 783*x^76 - 968*x^77 - 1178*x^78 - 2087*x^79 - 1629*x^80 - 
      522*x^81 - 428*x^82 - 1012*x^83 - 1030*x^84 + 424*x^85 + 581*x^86 + 
      584*x^87 + 230*x^88 + 556*x^89 + 729*x^90 + 1725*x^91 + 1969*x^92 + 
      1566*x^93 + 1627*x^94 + 2918*x^95 + 3116*x^96 + 1486*x^97 + 346*x^98 + 
      254*x^99 + 1212*x^100 + 569*x^101 - 114*x^102 - 1726*x^103 - 
      2118*x^104 - 2700*x^105 - 2696*x^106 - 4335*x^107 - 4099*x^108 - 
      2711*x^109 - 818*x^110 - 706*x^111 - 1678*x^112 - 1589*x^113 - 
      683*x^114 + 1134*x^115 + 1829*x^116 + 2184*x^117 + 2952*x^118 + 
      3865*x^119 + 4166*x^120 + 2776*x^121 + 1172*x^122 + 623*x^123 + 
      912*x^124 + 1381*x^125 + 801*x^126 - 246*x^127 - 1467*x^128 - 
      1187*x^129 - 1577*x^130 - 2607*x^131 - 3318*x^132 - 2417*x^133 - 
      871*x^134 - 348*x^135 - 606*x^136 - 618*x^137 - 528*x^138 + 114*x^139 + 
      480*x^140 + 805*x^141 + 171*x^142 + 954*x^143 + 1530*x^144 + 
      1694*x^145 + 510*x^146 - 156*x^147 + 72*x^148 + 192*x^149 + 198*x^150 - 
      12*x^151 - 102*x^152 - 288*x^153 - 114*x^154 + 6*x^155 - 342*x^156 - 
      582*x^157 - 498*x^158 + 24*x^159 + 42*x^160 - 60*x^161 - 72*x^162 - 
      30*x^163 + 36*x^164 + 18*x^165 + 84*x^166 - 36*x^167 + 24*x^168 + 
      12*x^169 + 108*x^170 + 6*x^171 - 24*x^172 - 6*x^173 + 12*x^174 + 
      12*x^175 + 6*x^184)/(1 - x^5 - x^6 - x^7 - x^8 - 2*x^9 - x^10 + x^12 - 
      x^13 + x^15 - 3*x^18 + 2*x^19 - 3*x^22 + 2*x^23 - x^25 - 5*x^26 - 
      2*x^27 - 2*x^28 - 5*x^29 - 5*x^30 - 4*x^31 - x^32 - 2*x^33 - x^34 - 
      x^35 + x^36 + 2*x^37 + 4*x^38 + 2*x^40 + 2*x^41 + 2*x^42 + x^43 - 
      3*x^44 + x^45 - 8*x^46 + x^47 - 4*x^48 - 2*x^49 - 11*x^50 - x^51 - 
      5*x^52 + 4*x^53 - 11*x^54 - 8*x^55 + x^56 + 3*x^57 - 6*x^58 - 7*x^59 + 
      3*x^60 + 2*x^61 + 6*x^62 + x^63 + 6*x^64 - 2*x^65 + 4*x^66 + 9*x^67 + 
      4*x^68 - 7*x^69 + 8*x^70 + 16*x^71 + 11*x^72 - x^73 - 3*x^74 - x^75 + 
      4*x^77 - 8*x^78 - 5*x^79 - 6*x^80 - 14*x^82 - 16*x^83 - 22*x^84 - 
      2*x^85 - x^86 - x^87 - x^88 - 5*x^89 + 6*x^90 + 9*x^91 + 4*x^92 + 
      13*x^94 + 23*x^95 + 17*x^96 + 13*x^97 + x^98 - x^99 + 3*x^100 + 
      2*x^101 - 10*x^103 - 6*x^104 - 2*x^106 - 21*x^107 - 16*x^108 - 
      5*x^109 - 5*x^110 - x^111 - x^112 - 2*x^113 + x^114 + 3*x^115 + 
      8*x^116 + 7*x^119 + 17*x^120 + x^121 - x^122 + 2*x^123 + x^125 - 
      3*x^128 - 2*x^129 + x^130 - 6*x^132 - 5*x^133 + 2*x^134 + x^141 + 
      2*x^145);

genfun[14,x_] :=
     (1 + 3*x + 6*x^2 + 12*x^3 + 18*x^4 + 29*x^5 + 38*x^6 + 50*x^7 + 
      56*x^8 + 67*x^9 + 71*x^10 + 87*x^11 + 85*x^12 + 86*x^13 + 93*x^14 + 
      121*x^15 + 111*x^16 + 126*x^17 + 165*x^18 + 197*x^19 + 192*x^20 + 
      282*x^21 + 345*x^22 + 389*x^23 + 366*x^24 + 431*x^25 + 382*x^26 + 
      295*x^27 + 226*x^28 + 223*x^29 + 202*x^30 + 173*x^31 + 227*x^32 + 
      283*x^33 + 407*x^34 + 632*x^35 + 664*x^36 + 641*x^37 + 664*x^38 + 
      642*x^39 + 746*x^40 + 530*x^41 + 686*x^42 + 607*x^43 + 948*x^44 + 
      658*x^45 + 625*x^46 + 457*x^47 + 719*x^48 + 346*x^49 + 19*x^50 - 
      154*x^51 - 74*x^52 - 197*x^53 - 293*x^54 - 203*x^55 + 7*x^56 + 
      366*x^57 + 873*x^58 + 1043*x^59 + 1074*x^60 + 1421*x^61 + 1788*x^62 + 
      1621*x^63 + 1101*x^64 + 880*x^65 + 1138*x^66 + 645*x^67 + 613*x^68 - 
      259*x^69 + 95*x^70 - 416*x^71 - 31*x^72 - 940*x^73 - 690*x^74 - 
      1474*x^75 - 783*x^76 - 968*x^77 - 1178*x^78 - 2087*x^79 - 1629*x^80 - 
      522*x^81 - 428*x^82 - 1012*x^83 - 1030*x^84 + 424*x^85 + 581*x^86 + 
      584*x^87 + 230*x^88 + 556*x^89 + 729*x^90 + 1725*x^91 + 1969*x^92 + 
      1566*x^93 + 1627*x^94 + 2918*x^95 + 3116*x^96 + 1486*x^97 + 346*x^98 + 
      254*x^99 + 1212*x^100 + 569*x^101 - 114*x^102 - 1726*x^103 - 
      2118*x^104 - 2700*x^105 - 2696*x^106 - 4335*x^107 - 4099*x^108 - 
      2711*x^109 - 818*x^110 - 706*x^111 - 1678*x^112 - 1589*x^113 - 
      683*x^114 + 1134*x^115 + 1829*x^116 + 2184*x^117 + 2952*x^118 + 
      3865*x^119 + 4166*x^120 + 2776*x^121 + 1172*x^122 + 623*x^123 + 
      912*x^124 + 1381*x^125 + 801*x^126 - 246*x^127 - 1467*x^128 - 
      1187*x^129 - 1577*x^130 - 2607*x^131 - 3318*x^132 - 2417*x^133 - 
      871*x^134 - 348*x^135 - 606*x^136 - 618*x^137 - 528*x^138 + 114*x^139 + 
      480*x^140 + 805*x^141 + 171*x^142 + 954*x^143 + 1530*x^144 + 
      1694*x^145 + 510*x^146 - 156*x^147 + 72*x^148 + 192*x^149 + 198*x^150 - 
      12*x^151 - 102*x^152 - 288*x^153 - 114*x^154 + 6*x^155 - 342*x^156 - 
      582*x^157 - 498*x^158 + 24*x^159 + 42*x^160 - 60*x^161 - 72*x^162 - 
      30*x^163 + 36*x^164 + 18*x^165 + 84*x^166 - 36*x^167 + 24*x^168 + 
      12*x^169 + 108*x^170 + 6*x^171 - 24*x^172 - 6*x^173 + 12*x^174 + 
      12*x^175 + 6*x^184)/(1 - x^5 - x^6 - x^7 - x^8 - 2*x^9 - x^10 + x^12 - 
      x^13 + x^15 - 3*x^18 + 2*x^19 - 3*x^22 + 2*x^23 - x^25 - 5*x^26 - 
      2*x^27 - 2*x^28 - 5*x^29 - 5*x^30 - 4*x^31 - x^32 - 2*x^33 - x^34 - 
      x^35 + x^36 + 2*x^37 + 4*x^38 + 2*x^40 + 2*x^41 + 2*x^42 + x^43 - 
      3*x^44 + x^45 - 8*x^46 + x^47 - 4*x^48 - 2*x^49 - 11*x^50 - x^51 - 
      5*x^52 + 4*x^53 - 11*x^54 - 8*x^55 + x^56 + 3*x^57 - 6*x^58 - 7*x^59 + 
      3*x^60 + 2*x^61 + 6*x^62 + x^63 + 6*x^64 - 2*x^65 + 4*x^66 + 9*x^67 + 
      4*x^68 - 7*x^69 + 8*x^70 + 16*x^71 + 11*x^72 - x^73 - 3*x^74 - x^75 + 
      4*x^77 - 8*x^78 - 5*x^79 - 6*x^80 - 14*x^82 - 16*x^83 - 22*x^84 - 
      2*x^85 - x^86 - x^87 - x^88 - 5*x^89 + 6*x^90 + 9*x^91 + 4*x^92 + 
      13*x^94 + 23*x^95 + 17*x^96 + 13*x^97 + x^98 - x^99 + 3*x^100 + 
      2*x^101 - 10*x^103 - 6*x^104 - 2*x^106 - 21*x^107 - 16*x^108 - 
      5*x^109 - 5*x^110 - x^111 - x^112 - 2*x^113 + x^114 + 3*x^115 + 
      8*x^116 + 7*x^119 + 17*x^120 + x^121 - x^122 + 2*x^123 + x^125 - 
      3*x^128 - 2*x^129 + x^130 - 6*x^132 - 5*x^133 + 2*x^134 + x^141 + 
      2*x^145);

genfun[15,x_] :=
     (-1 - 3*x - 6*x^2 - 12*x^3 - 18*x^4 - 30*x^5 - 41*x^6 - 56*x^7 - 
      68*x^8 - 85*x^9 - 101*x^10 - 128*x^11 - 141*x^12 - 154*x^13 - 
      178*x^14 - 222*x^15 - 239*x^16 - 267*x^17 - 319*x^18 - 375*x^19 - 
      414*x^20 - 521*x^21 - 612*x^22 - 708*x^23 - 741*x^24 - 845*x^25 - 
      903*x^26 - 907*x^27 - 935*x^28 - 969*x^29 - 1029*x^30 - 1046*x^31 - 
      1086*x^32 - 1148*x^33 - 1273*x^34 - 1532*x^35 - 1555*x^36 - 1515*x^37 - 
      1564*x^38 - 1660*x^39 - 2028*x^40 - 1785*x^41 - 1877*x^42 - 1884*x^43 - 
      2325*x^44 - 2295*x^45 - 2012*x^46 - 1906*x^47 - 2229*x^48 - 2185*x^49 - 
      1836*x^50 - 1364*x^51 - 1486*x^52 - 1532*x^53 - 1367*x^54 - 918*x^55 - 
      880*x^56 - 1264*x^57 - 1790*x^58 - 1729*x^59 - 1451*x^60 - 1958*x^61 - 
      2798*x^62 - 3077*x^63 - 2803*x^64 - 2458*x^65 - 3293*x^66 - 3175*x^67 - 
      3412*x^68 - 2358*x^69 - 2458*x^70 - 2279*x^71 - 2386*x^72 - 1453*x^73 - 
      464*x^74 + 499*x^75 + 324*x^76 + 821*x^77 + 2341*x^78 + 3812*x^79 + 
      4135*x^80 + 2941*x^81 + 3486*x^82 + 4562*x^83 + 5239*x^84 + 3429*x^85 + 
      2642*x^86 + 2356*x^87 + 3366*x^88 + 2645*x^89 + 1026*x^90 - 1445*x^91 - 
      1861*x^92 - 1180*x^93 - 1696*x^94 - 4878*x^95 - 6218*x^96 - 4613*x^97 - 
      3275*x^98 - 3982*x^99 - 6379*x^100 - 5834*x^101 - 3620*x^102 - 
      854*x^103 - 105*x^104 - 513*x^105 + 493*x^106 + 4334*x^107 + 
      6538*x^108 + 5701*x^109 + 4589*x^110 + 5223*x^111 + 8040*x^112 + 
      8173*x^113 + 6447*x^114 + 4150*x^115 + 3443*x^116 + 3721*x^117 + 
      2535*x^118 - 1178*x^119 - 4034*x^120 - 4855*x^121 - 3266*x^122 - 
      4397*x^123 - 5799*x^124 - 7843*x^125 - 6028*x^126 - 5013*x^127 - 
      3882*x^128 - 4231*x^129 - 2693*x^130 - 631*x^131 + 2024*x^132 + 
      3311*x^133 + 3963*x^134 + 3606*x^135 + 4629*x^136 + 4810*x^137 + 
      6141*x^138 + 4849*x^139 + 4907*x^140 + 3926*x^141 + 3374*x^142 + 
      1939*x^143 + 1200*x^144 - 280*x^145 - 1572*x^146 - 2406*x^147 - 
      2661*x^148 - 2225*x^149 - 2655*x^150 - 3295*x^151 - 2889*x^152 - 
      3156*x^153 - 1811*x^154 - 1690*x^155 - 1430*x^156 - 1443*x^157 + 
      153*x^158 + 1373*x^159 + 1664*x^160 + 763*x^161 + 357*x^162 + 
      1536*x^163 + 1728*x^164 + 1760*x^165 + 1069*x^166 + 465*x^167 + 
      888*x^168 + 1242*x^169 + 1046*x^170 - 144*x^171 - 756*x^172 - 
      588*x^173 + 162*x^174 - 120*x^175 - 648*x^176 - 708*x^177 - 684*x^178 - 
      36*x^179 - 150*x^180 - 378*x^181 - 666*x^182 - 342*x^183 + 6*x^184 + 
      120*x^185 - 78*x^186 - 120*x^187 + 42*x^188 + 66*x^189 + 138*x^190 + 
      84*x^191 - 54*x^192 + 18*x^193 + 42*x^194 + 120*x^195 - 18*x^197 - 
      6*x^198 + 42*x^199 + 6*x^204 + 6*x^209)/(-1 + x^6 + x^7 + x^8 + 2*x^9 + 
      x^10 + x^11 + 2*x^13 + 2*x^14 + x^16 + 5*x^18 + x^21 + 3*x^22 + 
      3*x^23 + x^25 + 6*x^26 + 5*x^27 + 4*x^28 + 3*x^29 + 6*x^30 + 10*x^31 + 
      6*x^32 + 4*x^33 + 5*x^34 + 7*x^35 + 8*x^36 + 3*x^37 - x^38 + 5*x^39 + 
      3*x^40 + x^42 - 3*x^43 + 6*x^44 - 3*x^45 + 7*x^46 - x^47 + 5*x^49 + 
      9*x^50 + 7*x^51 + 5*x^52 + x^53 + 16*x^54 + 18*x^55 + 8*x^56 + 8*x^57 + 
      10*x^58 + 23*x^59 + 10*x^60 + 4*x^61 - 2*x^62 + 7*x^63 + 8*x^64 + 
      8*x^65 - 11*x^66 - 16*x^67 - 4*x^68 + 6*x^69 - 16*x^70 - 29*x^71 - 
      25*x^72 - 4*x^73 - 2*x^74 - 17*x^75 - 21*x^76 - 28*x^77 + 7*x^78 + 
      11*x^79 - 2*x^80 - 11*x^81 + 3*x^82 + 29*x^83 + 34*x^84 + 9*x^85 + 
      5*x^86 + 19*x^87 + 27*x^88 + 32*x^89 + 6*x^90 - 5*x^91 + 8*x^92 + 
      14*x^93 + 8*x^94 - 24*x^95 - 38*x^96 - 17*x^97 - 8*x^98 - 10*x^99 - 
      37*x^100 - 29*x^101 - 23*x^102 + x^103 - 12*x^104 - 15*x^105 - 
      14*x^106 + 2*x^107 + 22*x^108 + 25*x^109 + 14*x^110 + 9*x^111 + 
      15*x^112 + 28*x^113 + 15*x^114 + 19*x^115 + 2*x^116 + 13*x^117 + 
      6*x^118 + 4*x^119 - 2*x^120 - 13*x^121 - 17*x^122 - 14*x^123 - 
      9*x^124 - 16*x^125 - 10*x^126 - 15*x^127 - 15*x^128 - 4*x^129 - 
      11*x^130 + 2*x^131 - 10*x^132 - x^133 + 12*x^134 + 12*x^135 + 3*x^136 + 
      x^137 + 6*x^138 + 7*x^139 + 14*x^140 + 2*x^141 + 2*x^142 + x^143 + 
      3*x^144 + 11*x^145 - 3*x^146 - 9*x^147 - 6*x^148 + x^149 - x^151 - 
      6*x^152 - 6*x^153 + x^154 - x^155 + x^156 - 6*x^157 - 3*x^158 + 
      2*x^159 + 2*x^160 + x^161 + 2*x^165 + x^166 + 2*x^170);

genfun[16,x_] :=
     -((1 + 3*x + 6*x^2 + 12*x^3 + 18*x^4 + 30*x^5 + 41*x^6 + 56*x^7 + 
       69*x^8 + 88*x^9 + 107*x^10 + 140*x^11 + 159*x^12 + 184*x^13 + 
       219*x^14 + 278*x^15 + 308*x^16 + 355*x^17 + 426*x^18 + 515*x^19 + 
       573*x^20 + 705*x^21 + 831*x^22 + 986*x^23 + 1049*x^24 + 1200*x^25 + 
       1329*x^26 + 1422*x^27 + 1508*x^28 + 1675*x^29 + 1864*x^30 + 
       2041*x^31 + 2105*x^32 + 2296*x^33 + 2538*x^34 + 2881*x^35 + 
       2957*x^36 + 3027*x^37 + 3244*x^38 + 3475*x^39 + 3850*x^40 + 
       3785*x^41 + 4063*x^42 + 4346*x^43 + 4773*x^44 + 4779*x^45 + 
       4624*x^46 + 4631*x^47 + 5344*x^48 + 5121*x^49 + 5076*x^50 + 
       4728*x^51 + 5231*x^52 + 5254*x^53 + 4958*x^54 + 4484*x^55 + 
       4949*x^56 + 5059*x^57 + 5692*x^58 + 5100*x^59 + 5144*x^60 + 
       5546*x^61 + 6352*x^62 + 6200*x^63 + 6072*x^64 + 5729*x^65 + 
       7344*x^66 + 6963*x^67 + 7298*x^68 + 6320*x^69 + 7000*x^70 + 
       7051*x^71 + 7109*x^72 + 5668*x^73 + 5630*x^74 + 4324*x^75 + 
       5213*x^76 + 3441*x^77 + 2125*x^78 + 41*x^79 - 132*x^80 - 105*x^81 - 
       1259*x^82 - 4394*x^83 - 4733*x^84 - 3909*x^85 - 4044*x^86 - 
       5980*x^87 - 7986*x^88 - 6234*x^89 - 4490*x^90 - 3693*x^91 - 
       4129*x^92 - 4103*x^93 - 2669*x^94 + 1094*x^95 + 1660*x^96 + 
       1198*x^97 + 663*x^98 + 4120*x^99 + 7309*x^100 + 7195*x^101 + 
       4647*x^102 + 4880*x^103 + 5218*x^104 + 5335*x^105 + 3268*x^106 - 
       101*x^107 - 551*x^108 + 35*x^109 - 679*x^110 - 3546*x^111 - 
       8447*x^112 - 8785*x^113 - 8195*x^114 - 8569*x^115 - 9717*x^116 - 
       9959*x^117 - 9070*x^118 - 5269*x^119 - 5301*x^120 - 4037*x^121 - 
       5129*x^122 - 2117*x^123 + 842*x^124 + 3796*x^125 + 3426*x^126 + 
       6004*x^127 + 5755*x^128 + 8542*x^129 + 6121*x^130 + 6004*x^131 + 
       3385*x^132 + 3923*x^133 + 2105*x^134 + 2998*x^135 + 7*x^136 - 
       286*x^137 - 4343*x^138 - 4698*x^139 - 6767*x^140 - 6381*x^141 - 
       7837*x^142 - 6159*x^143 - 7327*x^144 - 4884*x^145 - 5320*x^146 - 
       2872*x^147 - 3563*x^148 - 2525*x^149 - 1388*x^150 + 1933*x^151 + 
       1830*x^152 + 3629*x^153 + 3021*x^154 + 3798*x^155 + 3985*x^156 + 
       4505*x^157 + 3864*x^158 + 3284*x^159 + 1363*x^160 + 2878*x^161 + 
       1535*x^162 + 826*x^163 - 166*x^164 - 551*x^165 - 1679*x^166 - 
       1727*x^167 - 2330*x^168 - 1699*x^169 - 2069*x^170 - 2088*x^171 - 
       1578*x^172 - 1556*x^173 - 1729*x^174 - 579*x^175 - 618*x^176 - 
       414*x^177 - 68*x^178 + 384*x^179 + 930*x^180 + 936*x^181 + 522*x^182 + 
       840*x^183 + 678*x^184 + 774*x^185 + 1020*x^186 + 564*x^187 + 
       396*x^188 + 498*x^189 + 480*x^190 + 252*x^191 - 12*x^192 - 240*x^193 - 
       6*x^194 - 48*x^195 - 84*x^196 - 54*x^197 - 222*x^198 - 222*x^199 - 
       30*x^200 - 78*x^201 - 102*x^202 - 180*x^203 - 90*x^204 + 48*x^205 + 
       48*x^206 - 6*x^207 + 12*x^208 - 18*x^209 + 12*x^210 + 30*x^211 + 
       30*x^212 + 12*x^213 + 12*x^215 + 24*x^216 + 18*x^217)/
      (-1 + x^6 + x^7 + 2*x^9 + x^10 + x^11 + 2*x^13 + 3*x^14 + x^15 + x^16 + 
       2*x^17 + 6*x^18 + x^19 + 3*x^21 + 6*x^22 + 4*x^23 + x^24 + 3*x^25 + 
       12*x^26 + 6*x^27 + 4*x^28 + 5*x^29 + 11*x^30 + 14*x^31 + 7*x^32 + 
       5*x^33 + 15*x^34 + 14*x^35 + 13*x^36 + 6*x^37 + 8*x^38 + 17*x^39 + 
       11*x^40 + 4*x^41 + 11*x^42 + 7*x^43 + 18*x^44 + 3*x^45 + 11*x^46 + 
       10*x^47 + 8*x^48 + 9*x^49 + 15*x^50 + 9*x^51 + 16*x^52 + 2*x^53 + 
       28*x^54 + 22*x^55 + 13*x^56 + 14*x^57 + 26*x^58 + 36*x^59 + 22*x^60 + 
       4*x^61 + 20*x^62 + 34*x^63 + 24*x^64 + 19*x^65 + 3*x^66 + 12*x^67 + 
       16*x^68 + 10*x^69 - 10*x^70 - 19*x^71 - 14*x^72 + 14*x^73 - 8*x^74 - 
       28*x^75 - 29*x^76 - 18*x^77 - 7*x^78 - 14*x^79 - 30*x^80 - 15*x^81 + 
       2*x^82 + 14*x^83 + 17*x^84 - 18*x^85 + 6*x^86 + 28*x^87 + 24*x^88 + 
       24*x^89 + 8*x^90 + 21*x^91 + 34*x^92 + 23*x^93 + 14*x^94 - 2*x^95 - 
       22*x^96 + 14*x^97 - 3*x^98 - 13*x^99 - 28*x^100 - 19*x^101 - 
       18*x^102 - 20*x^103 - 46*x^104 - 25*x^105 - 31*x^106 - 4*x^107 - 
       13*x^108 + 4*x^109 - 11*x^110 + 9*x^111 - 4*x^112 + 13*x^113 + 
       8*x^114 + 19*x^115 + 18*x^116 + 29*x^117 + 19*x^118 + 16*x^119 + 
       3*x^120 + 14*x^121 - 13*x^122 + 2*x^123 - 8*x^124 + 2*x^125 - 
       6*x^126 - 16*x^127 - 19*x^128 - 19*x^129 - 22*x^130 - 10*x^131 - 
       19*x^132 - 20*x^133 + x^134 + 5*x^135 - 10*x^136 - 2*x^137 - 7*x^138 + 
       9*x^139 + 2*x^140 + 3*x^141 + 16*x^142 + 9*x^143 + 4*x^144 + 
       12*x^145 + 4*x^146 - 2*x^147 + 5*x^148 + 2*x^149 + 2*x^150 - x^151 - 
       3*x^152 + 4*x^153 - 3*x^154 - 9*x^155 - 4*x^156 - 5*x^157 - 3*x^158 + 
       x^159 - 4*x^160 - 4*x^161 + x^162 - x^163 + x^164 - 4*x^165 - x^166 + 
       2*x^167 + 2*x^168 + x^169 + 2*x^170 + 2*x^173 + x^174 + 2*x^178));

genfun[17,x_] :=
     -((1 + 3*x + 6*x^2 + 12*x^3 + 18*x^4 + 30*x^5 + 41*x^6 + 56*x^7 + 
       69*x^8 + 88*x^9 + 107*x^10 + 140*x^11 + 159*x^12 + 184*x^13 + 
       219*x^14 + 278*x^15 + 308*x^16 + 355*x^17 + 426*x^18 + 515*x^19 + 
       573*x^20 + 705*x^21 + 831*x^22 + 986*x^23 + 1049*x^24 + 1200*x^25 + 
       1329*x^26 + 1422*x^27 + 1508*x^28 + 1675*x^29 + 1864*x^30 + 
       2041*x^31 + 2105*x^32 + 2296*x^33 + 2538*x^34 + 2881*x^35 + 
       2957*x^36 + 3027*x^37 + 3244*x^38 + 3475*x^39 + 3850*x^40 + 
       3785*x^41 + 4063*x^42 + 4346*x^43 + 4773*x^44 + 4779*x^45 + 
       4624*x^46 + 4631*x^47 + 5344*x^48 + 5121*x^49 + 5076*x^50 + 
       4728*x^51 + 5231*x^52 + 5254*x^53 + 4958*x^54 + 4484*x^55 + 
       4949*x^56 + 5059*x^57 + 5692*x^58 + 5100*x^59 + 5144*x^60 + 
       5546*x^61 + 6352*x^62 + 6200*x^63 + 6072*x^64 + 5729*x^65 + 
       7344*x^66 + 6963*x^67 + 7298*x^68 + 6320*x^69 + 7000*x^70 + 
       7051*x^71 + 7109*x^72 + 5668*x^73 + 5630*x^74 + 4324*x^75 + 
       5213*x^76 + 3441*x^77 + 2125*x^78 + 41*x^79 - 132*x^80 - 105*x^81 - 
       1259*x^82 - 4394*x^83 - 4733*x^84 - 3909*x^85 - 4044*x^86 - 
       5980*x^87 - 7986*x^88 - 6234*x^89 - 4490*x^90 - 3693*x^91 - 
       4129*x^92 - 4103*x^93 - 2669*x^94 + 1094*x^95 + 1660*x^96 + 
       1198*x^97 + 663*x^98 + 4120*x^99 + 7309*x^100 + 7195*x^101 + 
       4647*x^102 + 4880*x^103 + 5218*x^104 + 5335*x^105 + 3268*x^106 - 
       101*x^107 - 551*x^108 + 35*x^109 - 679*x^110 - 3546*x^111 - 
       8447*x^112 - 8785*x^113 - 8195*x^114 - 8569*x^115 - 9717*x^116 - 
       9959*x^117 - 9070*x^118 - 5269*x^119 - 5301*x^120 - 4037*x^121 - 
       5129*x^122 - 2117*x^123 + 842*x^124 + 3796*x^125 + 3426*x^126 + 
       6004*x^127 + 5755*x^128 + 8542*x^129 + 6121*x^130 + 6004*x^131 + 
       3385*x^132 + 3923*x^133 + 2105*x^134 + 2998*x^135 + 7*x^136 - 
       286*x^137 - 4343*x^138 - 4698*x^139 - 6767*x^140 - 6381*x^141 - 
       7837*x^142 - 6159*x^143 - 7327*x^144 - 4884*x^145 - 5320*x^146 - 
       2872*x^147 - 3563*x^148 - 2525*x^149 - 1388*x^150 + 1933*x^151 + 
       1830*x^152 + 3629*x^153 + 3021*x^154 + 3798*x^155 + 3985*x^156 + 
       4505*x^157 + 3864*x^158 + 3284*x^159 + 1363*x^160 + 2878*x^161 + 
       1535*x^162 + 826*x^163 - 166*x^164 - 551*x^165 - 1679*x^166 - 
       1727*x^167 - 2330*x^168 - 1699*x^169 - 2069*x^170 - 2088*x^171 - 
       1578*x^172 - 1556*x^173 - 1729*x^174 - 579*x^175 - 618*x^176 - 
       414*x^177 - 68*x^178 + 384*x^179 + 930*x^180 + 936*x^181 + 522*x^182 + 
       840*x^183 + 678*x^184 + 774*x^185 + 1020*x^186 + 564*x^187 + 
       396*x^188 + 498*x^189 + 480*x^190 + 252*x^191 - 12*x^192 - 240*x^193 - 
       6*x^194 - 48*x^195 - 84*x^196 - 54*x^197 - 222*x^198 - 222*x^199 - 
       30*x^200 - 78*x^201 - 102*x^202 - 180*x^203 - 90*x^204 + 48*x^205 + 
       48*x^206 - 6*x^207 + 12*x^208 - 18*x^209 + 12*x^210 + 30*x^211 + 
       30*x^212 + 12*x^213 + 12*x^215 + 24*x^216 + 18*x^217)/
      (-1 + x^6 + x^7 + 2*x^9 + x^10 + x^11 + 2*x^13 + 3*x^14 + x^15 + x^16 + 
       2*x^17 + 6*x^18 + x^19 + 3*x^21 + 6*x^22 + 4*x^23 + x^24 + 3*x^25 + 
       12*x^26 + 6*x^27 + 4*x^28 + 5*x^29 + 11*x^30 + 14*x^31 + 7*x^32 + 
       5*x^33 + 15*x^34 + 14*x^35 + 13*x^36 + 6*x^37 + 8*x^38 + 17*x^39 + 
       11*x^40 + 4*x^41 + 11*x^42 + 7*x^43 + 18*x^44 + 3*x^45 + 11*x^46 + 
       10*x^47 + 8*x^48 + 9*x^49 + 15*x^50 + 9*x^51 + 16*x^52 + 2*x^53 + 
       28*x^54 + 22*x^55 + 13*x^56 + 14*x^57 + 26*x^58 + 36*x^59 + 22*x^60 + 
       4*x^61 + 20*x^62 + 34*x^63 + 24*x^64 + 19*x^65 + 3*x^66 + 12*x^67 + 
       16*x^68 + 10*x^69 - 10*x^70 - 19*x^71 - 14*x^72 + 14*x^73 - 8*x^74 - 
       28*x^75 - 29*x^76 - 18*x^77 - 7*x^78 - 14*x^79 - 30*x^80 - 15*x^81 + 
       2*x^82 + 14*x^83 + 17*x^84 - 18*x^85 + 6*x^86 + 28*x^87 + 24*x^88 + 
       24*x^89 + 8*x^90 + 21*x^91 + 34*x^92 + 23*x^93 + 14*x^94 - 2*x^95 - 
       22*x^96 + 14*x^97 - 3*x^98 - 13*x^99 - 28*x^100 - 19*x^101 - 
       18*x^102 - 20*x^103 - 46*x^104 - 25*x^105 - 31*x^106 - 4*x^107 - 
       13*x^108 + 4*x^109 - 11*x^110 + 9*x^111 - 4*x^112 + 13*x^113 + 
       8*x^114 + 19*x^115 + 18*x^116 + 29*x^117 + 19*x^118 + 16*x^119 + 
       3*x^120 + 14*x^121 - 13*x^122 + 2*x^123 - 8*x^124 + 2*x^125 - 
       6*x^126 - 16*x^127 - 19*x^128 - 19*x^129 - 22*x^130 - 10*x^131 - 
       19*x^132 - 20*x^133 + x^134 + 5*x^135 - 10*x^136 - 2*x^137 - 7*x^138 + 
       9*x^139 + 2*x^140 + 3*x^141 + 16*x^142 + 9*x^143 + 4*x^144 + 
       12*x^145 + 4*x^146 - 2*x^147 + 5*x^148 + 2*x^149 + 2*x^150 - x^151 - 
       3*x^152 + 4*x^153 - 3*x^154 - 9*x^155 - 4*x^156 - 5*x^157 - 3*x^158 + 
       x^159 - 4*x^160 - 4*x^161 + x^162 - x^163 + x^164 - 4*x^165 - x^166 + 
       2*x^167 + 2*x^168 + x^169 + 2*x^170 + 2*x^173 + x^174 + 2*x^178));

genfun[18,x_] :=
     (-1 - 3*x - 6*x^2 - 12*x^3 - 18*x^4 - 30*x^5 - 42*x^6 - 59*x^7 - 
      75*x^8 - 102*x^9 - 131*x^10 - 182*x^11 - 225*x^12 - 279*x^13 - 
      354*x^14 - 462*x^15 - 551*x^16 - 675*x^17 - 831*x^18 - 1020*x^19 - 
      1231*x^20 - 1533*x^21 - 1822*x^22 - 2219*x^23 - 2600*x^24 - 3060*x^25 - 
      3546*x^26 - 4165*x^27 - 4807*x^28 - 5639*x^29 - 6588*x^30 - 7623*x^31 - 
      8712*x^32 - 9985*x^33 - 11439*x^34 - 13222*x^35 - 14723*x^36 - 
      16473*x^37 - 18534*x^38 - 21064*x^39 - 23818*x^40 - 26372*x^41 - 
      29225*x^42 - 32681*x^43 - 36523*x^44 - 39859*x^45 - 43475*x^46 - 
      47656*x^47 - 52810*x^48 - 58053*x^49 - 62952*x^50 - 68074*x^51 - 
      74631*x^52 - 81368*x^53 - 88021*x^54 - 93768*x^55 - 100839*x^56 - 
      108920*x^57 - 118492*x^58 - 125583*x^59 - 133556*x^60 - 143207*x^61 - 
      154507*x^62 - 164719*x^63 - 173246*x^64 - 181659*x^65 - 194302*x^66 - 
      207730*x^67 - 219358*x^68 - 227512*x^69 - 240720*x^70 - 255682*x^71 - 
      271923*x^72 - 282328*x^73 - 291860*x^74 - 306045*x^75 - 324290*x^76 - 
      337039*x^77 - 346888*x^78 - 357665*x^79 - 376115*x^80 - 396023*x^81 - 
      408093*x^82 - 413890*x^83 - 426084*x^84 - 441616*x^85 - 454702*x^86 - 
      462886*x^87 - 466804*x^88 - 478866*x^89 - 497730*x^90 - 508070*x^91 - 
      505184*x^92 - 507785*x^93 - 513172*x^94 - 521192*x^95 - 524957*x^96 - 
      514428*x^97 - 509419*x^98 - 519199*x^99 - 524170*x^100 - 519651*x^101 - 
      504567*x^102 - 489541*x^103 - 489351*x^104 - 483330*x^105 - 
      468055*x^106 - 439624*x^107 - 433439*x^108 - 428942*x^109 - 
      426873*x^110 - 395477*x^111 - 363430*x^112 - 339824*x^113 - 
      330737*x^114 - 308839*x^115 - 272446*x^116 - 232631*x^117 - 
      222429*x^118 - 208196*x^119 - 173842*x^120 - 116533*x^121 - 
      70239*x^122 - 46152*x^123 - 28285*x^124 + 13782*x^125 + 79906*x^126 + 
      108923*x^127 + 145861*x^128 + 172277*x^129 + 247167*x^130 + 
      303562*x^131 + 349786*x^132 + 354112*x^133 + 396882*x^134 + 
      444500*x^135 + 508687*x^136 + 540510*x^137 + 583396*x^138 + 
      618369*x^139 + 682890*x^140 + 715314*x^141 + 726749*x^142 + 
      736782*x^143 + 761528*x^144 + 807708*x^145 + 848405*x^146 + 
      885849*x^147 + 898728*x^148 + 945630*x^149 + 969009*x^150 + 
      982896*x^151 + 953665*x^152 + 963930*x^153 + 954270*x^154 + 
      1017057*x^155 + 1031692*x^156 + 1063185*x^157 + 1058461*x^158 + 
      1079117*x^159 + 1054070*x^160 + 1022474*x^161 + 968927*x^162 + 
      945046*x^163 + 962266*x^164 + 955307*x^165 + 949524*x^166 + 
      922107*x^167 + 895642*x^168 + 868093*x^169 + 809942*x^170 + 
      710247*x^171 + 675693*x^172 + 639928*x^173 + 630126*x^174 + 
      583515*x^175 + 548747*x^176 + 504007*x^177 + 517100*x^178 + 
      443331*x^179 + 386423*x^180 + 362420*x^181 + 320052*x^182 + 
      328808*x^183 + 299774*x^184 + 242662*x^185 + 255581*x^186 + 
      278667*x^187 + 257225*x^188 + 244611*x^189 + 206877*x^190 + 
      194694*x^191 + 201492*x^192 + 202456*x^193 + 142922*x^194 + 
      152855*x^195 + 140472*x^196 + 176220*x^197 + 168792*x^198 + 
      109803*x^199 + 98962*x^200 + 92445*x^201 + 93747*x^202 + 91699*x^203 + 
      34736*x^204 + 1695*x^205 + 16697*x^206 + 36533*x^207 - 8089*x^208 - 
      22954*x^209 - 22356*x^210 - 22175*x^211 - 669*x^212 - 78949*x^213 - 
      121628*x^214 - 143014*x^215 - 117256*x^216 - 109555*x^217 - 
      155814*x^218 - 164681*x^219 - 143346*x^220 - 130971*x^221 - 
      170057*x^222 - 230222*x^223 - 255007*x^224 - 270868*x^225 - 
      231171*x^226 - 265271*x^227 - 286813*x^228 - 254895*x^229 - 
      245481*x^230 - 225840*x^231 - 260982*x^232 - 260882*x^233 - 
      259673*x^234 - 253272*x^235 - 249741*x^236 - 270231*x^237 - 
      261574*x^238 - 257937*x^239 - 212928*x^240 - 203149*x^241 - 
      192770*x^242 - 150901*x^243 - 173443*x^244 - 164891*x^245 - 
      199535*x^246 - 237174*x^247 - 236150*x^248 - 229579*x^249 - 
      178479*x^250 - 168458*x^251 - 144487*x^252 - 117373*x^253 - 
      111209*x^254 - 113888*x^255 - 187199*x^256 - 178478*x^257 - 
      176719*x^258 - 134172*x^259 - 95891*x^260 - 82818*x^261 - 35284*x^262 + 
      5938*x^263 + 15553*x^264 - 31036*x^265 - 25328*x^266 + 23034*x^267 + 
      10457*x^268 + 61616*x^269 + 37983*x^270 + 45791*x^271 + 97973*x^272 + 
      63416*x^273 + 82624*x^274 + 81391*x^275 + 80962*x^276 + 95769*x^277 + 
      88431*x^278 + 40639*x^279 + 31395*x^280 + 30319*x^281 - 8703*x^282 + 
      37652*x^283 + 27254*x^284 - 17906*x^285 + 39960*x^286 - 3526*x^287 - 
      7954*x^288 - 20007*x^289 - 66021*x^290 - 35633*x^291 - 30145*x^292 - 
      49141*x^293 - 44893*x^294 - 47673*x^295 - 43058*x^296 - 2971*x^297 - 
      18637*x^298 - 50529*x^299 - 12153*x^300 - 39821*x^301 - 36482*x^302 - 
      8708*x^303 - 51711*x^304 - 18329*x^305 - 7017*x^306 - 6753*x^307 + 
      8429*x^308 - 11609*x^309 - 7300*x^310 + 8878*x^311 - 7449*x^312 - 
      13783*x^313 - 5293*x^314 - 14680*x^315 - 1733*x^316 + 10132*x^317 - 
      16571*x^318 + 9131*x^319 + 9393*x^320 - 9579*x^321 + 3097*x^322 - 
      12474*x^323 - 2135*x^324 - 657*x^325 - 17720*x^326 - 5908*x^327 - 
      7191*x^328 - 10839*x^329 + 3965*x^330 + 5884*x^331 - 5079*x^332 + 
      1472*x^333 - 8932*x^334 - 11056*x^335 + 4918*x^336 - 13684*x^337 - 
      10564*x^338 + 6075*x^339 + 1847*x^340 + 8450*x^341 - 4176*x^342 - 
      6931*x^343 + 9080*x^344 + 1963*x^345 - 8366*x^346 - 2933*x^347 - 
      1425*x^348 + 1128*x^349 + 6152*x^350 - 4903*x^351 + 1161*x^352 + 
      10413*x^353 - 2588*x^354 - 816*x^355 + 1166*x^356 - 932*x^357 + 
      4841*x^358 - 52*x^359 - 417*x^360 + 7188*x^361 + 6045*x^362 + 
      3159*x^363 + 5464*x^364 + 3575*x^365 + 3735*x^366 + 5974*x^367 + 
      1090*x^368 + 4300*x^369 + 6940*x^370 + 3377*x^371 + 5737*x^372 + 
      4875*x^373 + 2719*x^374 + 3814*x^375 + 1431*x^376 + 984*x^377 + 
      2496*x^378 + 1044*x^379 - 311*x^380 + 909*x^381 - 726*x^382 - 
      570*x^383 + 186*x^384 - 1884*x^385 - 1122*x^386 - 1410*x^387 - 
      3036*x^388 - 2010*x^389 - 2088*x^390 - 2190*x^391 - 1176*x^392 - 
      1326*x^393 - 1308*x^394 - 1026*x^395 - 1686*x^396 - 1794*x^397 - 
      852*x^398 - 1206*x^399 - 498*x^400 - 318*x^401 - 726*x^402 - 
      228*x^403 - 96*x^404 - 276*x^405 + 42*x^406 - 198*x^407 - 270*x^408 + 
      24*x^409 + 42*x^410 - 132*x^411 + 42*x^412 + 48*x^413 + 180*x^414 + 
      162*x^415 - 114*x^416 - 54*x^417 + 30*x^418 + 72*x^419 + 30*x^420 - 
      30*x^421 + 24*x^422 + 90*x^423 + 48*x^424 - 18*x^425 + 24*x^426 + 
      60*x^427 + 24*x^428 + 24*x^429 - 24*x^430 + 24*x^431 + 48*x^432 + 
      24*x^433 + 24*x^435 + 24*x^436 + 24*x^441)/(-1 + x^7 + x^10 + x^11 + 
      3*x^13 + 3*x^14 + 3*x^15 + 4*x^16 + 3*x^17 + 6*x^18 + 6*x^19 + 5*x^20 + 
      6*x^21 + 14*x^22 + 13*x^23 + 13*x^24 + 15*x^25 + 21*x^26 + 26*x^27 + 
      23*x^28 + 22*x^29 + 30*x^30 + 45*x^31 + 45*x^32 + 38*x^33 + 51*x^34 + 
      65*x^35 + 76*x^36 + 63*x^37 + 63*x^38 + 89*x^39 + 107*x^40 + 103*x^41 + 
      100*x^42 + 109*x^43 + 152*x^44 + 155*x^45 + 142*x^46 + 140*x^47 + 
      182*x^48 + 195*x^49 + 201*x^50 + 197*x^51 + 216*x^52 + 250*x^53 + 
      287*x^54 + 261*x^55 + 264*x^56 + 322*x^57 + 320*x^58 + 345*x^59 + 
      355*x^60 + 352*x^61 + 401*x^62 + 458*x^63 + 442*x^64 + 483*x^65 + 
      473*x^66 + 491*x^67 + 521*x^68 + 551*x^69 + 549*x^70 + 569*x^71 + 
      624*x^72 + 662*x^73 + 688*x^74 + 639*x^75 + 613*x^76 + 662*x^77 + 
      722*x^78 + 703*x^79 + 694*x^80 + 661*x^81 + 810*x^82 + 758*x^83 + 
      720*x^84 + 620*x^85 + 710*x^86 + 722*x^87 + 788*x^88 + 624*x^89 + 
      636*x^90 + 748*x^91 + 712*x^92 + 685*x^93 + 569*x^94 + 595*x^95 + 
      628*x^96 + 690*x^97 + 515*x^98 + 548*x^99 + 506*x^100 + 567*x^101 + 
      462*x^102 + 485*x^103 + 288*x^104 + 408*x^105 + 305*x^106 + 347*x^107 + 
      196*x^108 + 172*x^109 + 39*x^110 + 70*x^111 + 32*x^112 - 98*x^113 - 
      167*x^114 - 190*x^115 - 112*x^116 - 335*x^117 - 306*x^118 - 674*x^119 - 
      478*x^120 - 541*x^121 - 474*x^122 - 750*x^123 - 643*x^124 - 741*x^125 - 
      689*x^126 - 892*x^127 - 1061*x^128 - 1024*x^129 - 927*x^130 - 
      983*x^131 - 1061*x^132 - 1187*x^133 - 1215*x^134 - 1099*x^135 - 
      1382*x^136 - 1356*x^137 - 1418*x^138 - 1371*x^139 - 1467*x^140 - 
      1395*x^141 - 1696*x^142 - 1434*x^143 - 1516*x^144 - 1572*x^145 - 
      1417*x^146 - 1560*x^147 - 1614*x^148 - 1404*x^149 - 1545*x^150 - 
      1497*x^151 - 1250*x^152 - 1350*x^153 - 1170*x^154 - 1089*x^155 - 
      1187*x^156 - 1194*x^157 - 923*x^158 - 1054*x^159 - 838*x^160 - 
      850*x^161 - 793*x^162 - 521*x^163 - 641*x^164 - 658*x^165 - 600*x^166 - 
      621*x^167 - 347*x^168 - 386*x^169 - 562*x^170 - 447*x^171 - 186*x^172 - 
      308*x^173 - 270*x^174 - 297*x^175 - 334*x^176 - 5*x^177 - 181*x^178 - 
      258*x^179 - 223*x^180 - 175*x^181 + 69*x^182 - 79*x^183 - 169*x^184 - 
      17*x^185 - 16*x^186 + 45*x^187 + 14*x^188 - 57*x^189 - 174*x^190 + 
      102*x^191 + 84*x^192 - 14*x^193 + 80*x^194 - 67*x^195 + 189*x^196 + 
      153*x^197 + 39*x^198 + 108*x^199 + 40*x^200 + 237*x^201 + 294*x^202 + 
      163*x^203 + 101*x^204 + 312*x^205 + 215*x^206 + 260*x^207 + 407*x^208 + 
      215*x^209 + 417*x^210 + 466*x^211 + 267*x^212 + 380*x^213 + 148*x^214 + 
      296*x^215 + 440*x^216 + 257*x^217 + 357*x^218 + 358*x^219 + 372*x^220 + 
      297*x^221 + 298*x^222 + 34*x^223 + 329*x^224 + 305*x^225 + 168*x^226 + 
      283*x^227 + 188*x^228 + 333*x^229 + 276*x^230 + 24*x^231 + 390*x^232 + 
      202*x^233 + 211*x^234 + 321*x^235 + 90*x^236 + 195*x^237 + 281*x^238 + 
      114*x^239 + 126*x^240 + 365*x^241 + 49*x^242 + 212*x^243 + 227*x^244 - 
      86*x^245 + 223*x^246 - 51*x^247 - 59*x^248 + 320*x^249 - 135*x^250 + 
      13*x^251 + 92*x^252 - 109*x^253 - 2*x^254 - 8*x^255 - 227*x^256 + 
      25*x^257 + 140*x^258 - 210*x^259 + x^260 - 105*x^261 - 169*x^262 + 
      175*x^263 - 218*x^264 - 64*x^265 + 124*x^266 - 150*x^267 + 53*x^268 - 
      25*x^269 - 156*x^270 + 5*x^271 + 20*x^272 - 100*x^273 + 58*x^274 + 
      25*x^275 - 125*x^276 + 78*x^277 - 27*x^278 - 56*x^279 + 63*x^280 - 
      128*x^281 + 81*x^282 + 65*x^283 - 67*x^284 + 37*x^285 - 3*x^286 + 
      11*x^287 + 35*x^288 + 18*x^289 + 3*x^290 + 76*x^291 + 59*x^292 - 
      28*x^293 + 53*x^294 + 6*x^295 + 22*x^296 + 47*x^297 + 2*x^298 + 
      57*x^299 + 24*x^300 + 25*x^301 + 25*x^302 - 5*x^303 + 6*x^304 - 
      11*x^305 + 30*x^306 + 9*x^307 - 4*x^308 + 19*x^309 + 5*x^310 + 
      13*x^311 - 12*x^312 - 13*x^313 + 2*x^314 + 26*x^315 + 7*x^316 - 
      11*x^317 + 16*x^318 + 5*x^319 + 3*x^321 - 8*x^322 + 24*x^323 + 
      13*x^324 - 6*x^325 + 4*x^326 - 4*x^327 - 3*x^328 - x^330 - 5*x^331 + 
      6*x^332 - 10*x^333 - 10*x^334 - 4*x^335 - 14*x^336 - 10*x^337 - 
      4*x^338 - 9*x^339 - 4*x^340 - 10*x^341 - 12*x^342 - 7*x^343 - 7*x^344 - 
      8*x^345 - 2*x^346 - 5*x^347 - 6*x^348 - 4*x^350 - x^351 - 3*x^353 + 
      x^354 + 3*x^355 - x^356 + x^357 + 2*x^358 + 2*x^359 + 3*x^360 + 
      3*x^361 + 3*x^363 + x^364 + 2*x^365 + 3*x^366 + x^367 + x^368 + x^369 + 
      x^370 + 2*x^371 + x^372 + x^374 + x^375 + x^380);

genfun[19,x_] :=
     -((-1 - 3*x - 6*x^2 - 12*x^3 - 18*x^4 - 30*x^5 - 42*x^6 - 59*x^7 - 
       75*x^8 - 102*x^9 - 131*x^10 - 182*x^11 - 225*x^12 - 279*x^13 - 
       354*x^14 - 462*x^15 - 551*x^16 - 675*x^17 - 831*x^18 - 1022*x^19 - 
       1237*x^20 - 1545*x^21 - 1846*x^22 - 2255*x^23 - 2660*x^24 - 
       3144*x^25 - 3664*x^26 - 4315*x^27 - 5011*x^28 - 5903*x^29 - 
       6958*x^30 - 8085*x^31 - 9296*x^32 - 10735*x^33 - 12437*x^34 - 
       14444*x^35 - 16259*x^36 - 18415*x^37 - 20771*x^38 - 23729*x^39 - 
       27126*x^40 - 30270*x^41 - 33857*x^42 - 38013*x^43 - 42743*x^44 - 
       47152*x^45 - 52008*x^46 - 57236*x^47 - 63990*x^48 - 71082*x^49 - 
       77769*x^50 - 84769*x^51 - 93727*x^52 - 103088*x^53 - 113112*x^54 - 
       121410*x^55 - 131846*x^56 - 143307*x^57 - 157340*x^58 - 168770*x^59 - 
       181353*x^60 - 195035*x^61 - 211777*x^62 - 227555*x^63 - 242560*x^64 - 
       256361*x^65 - 274724*x^66 - 295130*x^67 - 315028*x^68 - 331928*x^69 - 
       352301*x^70 - 374007*x^71 - 399747*x^72 - 420621*x^73 - 439560*x^74 - 
       460555*x^75 - 487691*x^76 - 514531*x^77 - 538134*x^78 - 556831*x^79 - 
       582455*x^80 - 614682*x^81 - 643057*x^82 - 662473*x^83 - 679932*x^84 - 
       704364*x^85 - 737023*x^86 - 763612*x^87 - 775279*x^88 - 793138*x^89 - 
       824327*x^90 - 852461*x^91 - 865774*x^92 - 870807*x^93 - 874272*x^94 - 
       901553*x^95 - 923025*x^96 - 920142*x^97 - 912223*x^98 - 920966*x^99 - 
       929189*x^100 - 937379*x^101 - 915579*x^102 - 891301*x^103 - 
       893125*x^104 - 897801*x^105 - 883064*x^106 - 845035*x^107 - 
       810910*x^108 - 796442*x^109 - 794311*x^110 - 757114*x^111 - 
       717091*x^112 - 685234*x^113 - 666301*x^114 - 651482*x^115 - 
       602057*x^116 - 526757*x^117 - 497449*x^118 - 470271*x^119 - 
       431793*x^120 - 376643*x^121 - 326255*x^122 - 281363*x^123 - 
       281649*x^124 - 223283*x^125 - 128620*x^126 - 72409*x^127 - 
       2522*x^128 + 61520*x^129 + 125223*x^130 + 195152*x^131 + 
       236507*x^132 + 244080*x^133 + 336123*x^134 + 415324*x^135 + 
       513036*x^136 + 622804*x^137 + 710877*x^138 + 776391*x^139 + 
       847629*x^140 + 832253*x^141 + 849282*x^142 + 925297*x^143 + 
       974071*x^144 + 1081588*x^145 + 1161694*x^146 + 1202679*x^147 + 
       1274760*x^148 + 1318815*x^149 + 1301977*x^150 + 1286633*x^151 + 
       1251266*x^152 + 1266865*x^153 + 1344034*x^154 + 1415722*x^155 + 
       1396855*x^156 + 1482148*x^157 + 1491404*x^158 + 1517023*x^159 + 
       1461532*x^160 + 1290941*x^161 + 1230024*x^162 + 1304808*x^163 + 
       1389863*x^164 + 1396779*x^165 + 1433114*x^166 + 1405717*x^167 + 
       1449258*x^168 + 1390089*x^169 + 1148610*x^170 + 1049334*x^171 + 
       1093103*x^172 + 1214528*x^173 + 1323845*x^174 + 1247660*x^175 + 
       1172305*x^176 + 1178735*x^177 + 1142668*x^178 + 1072289*x^179 + 
       1049235*x^180 + 1051325*x^181 + 1210300*x^182 + 1324658*x^183 + 
       1355721*x^184 + 1265321*x^185 + 1307543*x^186 + 1256685*x^187 + 
       1447937*x^188 + 1571051*x^189 + 1622534*x^190 + 1694766*x^191 + 
       1658251*x^192 + 1720234*x^193 + 1765964*x^194 + 1763095*x^195 + 
       1616534*x^196 + 1685930*x^197 + 1697879*x^198 + 1602552*x^199 + 
       1488330*x^200 + 1106340*x^201 + 940348*x^202 + 980346*x^203 + 
       706148*x^204 + 454496*x^205 + 93142*x^206 - 205964*x^207 - 
       489433*x^208 - 723357*x^209 - 1211338*x^210 - 1446582*x^211 - 
       1632730*x^212 - 1925478*x^213 - 2137062*x^214 - 2396942*x^215 - 
       2868910*x^216 - 3003521*x^217 - 3134091*x^218 - 3126715*x^219 - 
       2966862*x^220 - 3077151*x^221 - 3181324*x^222 - 2942702*x^223 - 
       2684767*x^224 - 2738052*x^225 - 2615290*x^226 - 2523215*x^227 - 
       2080630*x^228 - 1302646*x^229 - 1182753*x^230 - 943717*x^231 - 
       331168*x^232 - 52129*x^233 + 493259*x^234 + 644734*x^235 + 
       939928*x^236 + 1425375*x^237 + 2173775*x^238 + 2292867*x^239 + 
       2738545*x^240 + 2981910*x^241 + 2959820*x^242 + 3277531*x^243 + 
       3461726*x^244 + 3666292*x^245 + 3953489*x^246 + 3671613*x^247 + 
       3462849*x^248 + 3563451*x^249 + 3138631*x^250 + 2570676*x^251 + 
       2243980*x^252 + 2075255*x^253 + 2234220*x^254 + 2061560*x^255 + 
       1083545*x^256 + 200001*x^257 - 149084*x^258 - 699399*x^259 - 
       959223*x^260 - 1550804*x^261 - 1896129*x^262 - 1913348*x^263 - 
       2228488*x^264 - 2573234*x^265 - 3105246*x^266 - 3571180*x^267 - 
       3504679*x^268 - 2978179*x^269 - 2767838*x^270 - 2736423*x^271 - 
       3051147*x^272 - 3480490*x^273 - 3210270*x^274 - 2884135*x^275 - 
       2752413*x^276 - 2373335*x^277 - 2097097*x^278 - 1626197*x^279 - 
       1522484*x^280 - 2264397*x^281 - 2790691*x^282 - 2732514*x^283 - 
       2483329*x^284 - 1949646*x^285 - 1918986*x^286 - 2561777*x^287 - 
       2599978*x^288 - 2538275*x^289 - 2852220*x^290 - 2484918*x^291 - 
       2272797*x^292 - 1951730*x^293 - 1058640*x^294 - 926275*x^295 - 
       1253621*x^296 - 1118745*x^297 - 730432*x^298 + 828747*x^299 + 
       2658089*x^300 + 3282892*x^301 + 3797255*x^302 + 4304851*x^303 + 
       4859612*x^304 + 5903587*x^305 + 6295955*x^306 + 6212063*x^307 + 
       7152548*x^308 + 8046460*x^309 + 8043994*x^310 + 7632492*x^311 + 
       6719924*x^312 + 6158464*x^313 + 6422668*x^314 + 6238658*x^315 + 
       5322012*x^316 + 3647998*x^317 + 1570843*x^318 + 442440*x^319 - 
       346435*x^320 - 1325146*x^321 - 2388149*x^322 - 3888265*x^323 - 
       4569394*x^324 - 4757682*x^325 - 5700314*x^326 - 7266846*x^327 - 
       7730710*x^328 - 7406190*x^329 - 6598698*x^330 - 6489502*x^331 - 
       6894287*x^332 - 6554018*x^333 - 5644193*x^334 - 4603234*x^335 - 
       2698742*x^336 - 2038374*x^337 - 1198554*x^338 - 273823*x^339 - 
       150151*x^340 + 944701*x^341 + 2165482*x^342 + 2112257*x^343 + 
       2609184*x^344 + 4011844*x^345 + 4398043*x^346 + 4436791*x^347 + 
       3688041*x^348 + 2801521*x^349 + 3581960*x^350 + 3450114*x^351 + 
       2099601*x^352 + 1842825*x^353 + 677036*x^354 + 176153*x^355 + 
       375883*x^356 - 796448*x^357 - 1039485*x^358 - 94495*x^359 - 
       1486672*x^360 - 2062145*x^361 - 1967701*x^362 - 2829803*x^363 - 
       2816831*x^364 - 2019556*x^365 - 2622358*x^366 - 1590373*x^367 - 
       1303181*x^368 - 1788770*x^369 - 405576*x^370 - 37979*x^371 - 
       381554*x^372 + 721278*x^373 + 249826*x^374 + 359186*x^375 + 
       1434181*x^376 + 270531*x^377 - 214398*x^378 + 1667366*x^379 + 
       1727524*x^380 + 2252753*x^381 + 2794906*x^382 + 1175876*x^383 + 
       1224534*x^384 + 1902567*x^385 + 1169462*x^386 + 1433611*x^387 + 
       1023399*x^388 + 10646*x^389 + 1328132*x^390 + 1197693*x^391 + 
       265703*x^392 + 680876*x^393 - 94444*x^394 - 230144*x^395 + 
       1338904*x^396 - 73782*x^397 - 1315058*x^398 - 1271771*x^399 - 
       2251529*x^400 - 2087152*x^401 - 1096635*x^402 - 2381556*x^403 - 
       2280335*x^404 - 2325652*x^405 - 2636723*x^406 - 2169752*x^407 - 
       2713925*x^408 - 3935052*x^409 - 2801642*x^410 - 2454425*x^411 - 
       2389207*x^412 - 1702791*x^413 - 2343268*x^414 - 2208894*x^415 - 
       158197*x^416 - 230031*x^417 + 48453*x^418 + 903790*x^419 + 
       951478*x^420 + 1724208*x^421 + 2565700*x^422 + 2243156*x^423 + 
       2742088*x^424 + 2954040*x^425 + 3381363*x^426 + 4662676*x^427 + 
       4305396*x^428 + 3132779*x^429 + 3197366*x^430 + 3039959*x^431 + 
       3265526*x^432 + 3428542*x^433 + 1644062*x^434 + 848683*x^435 + 
       1452160*x^436 + 1124503*x^437 + 584719*x^438 - 489484*x^439 - 
       1667208*x^440 - 1471723*x^441 - 1495196*x^442 - 1616882*x^443 - 
       1934271*x^444 - 3340250*x^445 - 3849923*x^446 - 2528904*x^447 - 
       1972685*x^448 - 1923741*x^449 - 2351896*x^450 - 3171303*x^451 - 
       2131624*x^452 - 595845*x^453 - 982252*x^454 - 1339307*x^455 - 
       1471280*x^456 - 896010*x^457 + 608984*x^458 + 969792*x^459 + 
       672712*x^460 + 678577*x^461 + 108779*x^462 + 844122*x^463 + 
       2370676*x^464 + 1864643*x^465 + 843454*x^466 + 451827*x^467 + 
       360596*x^468 + 1499370*x^469 + 1980038*x^470 + 535960*x^471 + 
       128358*x^472 + 532424*x^473 + 786774*x^474 + 1254183*x^475 + 
       559695*x^476 - 414271*x^477 - 259839*x^478 - 413768*x^479 + 
       76299*x^480 + 816225*x^481 - 211572*x^482 - 1112959*x^483 - 
       436067*x^484 + 44365*x^485 + 629974*x^486 + 396139*x^487 - 
       839872*x^488 - 771040*x^489 + 108041*x^490 + 4459*x^491 - 
       24212*x^492 - 432064*x^493 - 797808*x^494 - 252645*x^495 + 
       17411*x^496 + 13952*x^497 + 257639*x^498 - 535582*x^499 - 
       912053*x^500 - 84321*x^501 + 214773*x^502 - 83858*x^503 - 
       403313*x^504 - 927479*x^505 - 453215*x^506 + 332178*x^507 + 
       114006*x^508 - 158410*x^509 - 162910*x^510 - 210296*x^511 + 
       192707*x^512 + 327995*x^513 + 87401*x^514 + 99587*x^515 - 
       109815*x^516 - 126035*x^517 + 474448*x^518 + 524094*x^519 + 
       116299*x^520 + 50273*x^521 + 77986*x^522 + 368473*x^523 + 
       597566*x^524 + 211589*x^525 - 104065*x^526 + 4198*x^527 + 
       62253*x^528 + 177211*x^529 + 144097*x^530 - 70451*x^531 - 
       91905*x^532 - 53272*x^533 - 56101*x^534 + 132867*x^535 + 19298*x^536 - 
       235472*x^537 - 196439*x^538 - 70538*x^539 - 27216*x^540 - 
       15918*x^541 - 188264*x^542 - 214214*x^543 - 43829*x^544 + 
       43448*x^545 + 21328*x^546 - 6009*x^547 - 79710*x^548 - 32167*x^549 + 
       23657*x^550 + 30758*x^551 + 50898*x^552 + 17056*x^553 - 55947*x^554 + 
       23444*x^555 + 82261*x^556 + 63065*x^557 + 33305*x^558 + 2450*x^559 + 
       8961*x^560 + 62438*x^561 + 44449*x^562 + 2875*x^563 - 14437*x^564 - 
       16352*x^565 - 1308*x^566 + 14963*x^567 + 1623*x^568 - 1209*x^569 - 
       12785*x^570 - 26776*x^571 - 2294*x^572 + 9475*x^573 - 13280*x^574 - 
       20281*x^575 - 16972*x^576 - 10352*x^577 - 391*x^578 - 7388*x^579 - 
       11199*x^580 - 3666*x^581 + 346*x^582 + 2177*x^583 + 4226*x^584 + 
       375*x^585 + 822*x^586 - 2484*x^587 - 2857*x^588 + 4316*x^589 + 
       7893*x^590 - 660*x^591 - 780*x^592 + 1596*x^593 + 2495*x^594 + 
       2565*x^595 + 1992*x^596 + 690*x^597 + 2244*x^598 - 882*x^599 - 
       1344*x^600 - 744*x^601 + 156*x^602 - 300*x^603 - 564*x^604 - 
       954*x^605 + 1242*x^606 + 648*x^607 - 1260*x^608 - 1464*x^609 + 
       450*x^610 + 180*x^611 + 396*x^612 - 162*x^613 - 276*x^614 - 
       360*x^615 - 324*x^616 - 72*x^617 + 852*x^618 + 528*x^619 + 186*x^620 - 
       228*x^621 - 96*x^622 + 258*x^623 + 240*x^624 - 132*x^625 + 210*x^627 + 
       126*x^628 - 102*x^629 - 60*x^631 + 48*x^632 + 54*x^633 + 42*x^634 + 
       36*x^635 - 48*x^636 - 90*x^637 - 48*x^638 + 12*x^639 + 54*x^640 + 
       12*x^641 - 36*x^642 - 24*x^643 + 6*x^644)/(1 - x^7 - x^10 - x^11 - 
       3*x^13 - 3*x^14 - 3*x^15 - 4*x^16 - 3*x^17 - 6*x^18 - 4*x^19 - 
       5*x^20 - 6*x^21 - 14*x^22 - 13*x^23 - 13*x^24 - 15*x^25 - 23*x^26 - 
       26*x^27 - 23*x^28 - 22*x^29 - 32*x^30 - 45*x^31 - 49*x^32 - 44*x^33 - 
       55*x^34 - 67*x^35 - 82*x^36 - 71*x^37 - 70*x^38 - 91*x^39 - 111*x^40 - 
       117*x^41 - 124*x^42 - 123*x^43 - 160*x^44 - 182*x^45 - 174*x^46 - 
       166*x^47 - 192*x^48 - 210*x^49 - 249*x^50 - 260*x^51 - 251*x^52 - 
       277*x^53 - 345*x^54 - 351*x^55 - 331*x^56 - 348*x^57 - 358*x^58 - 
       448*x^59 - 477*x^60 - 436*x^61 - 455*x^62 - 568*x^63 - 608*x^64 - 
       625*x^65 - 553*x^66 - 559*x^67 - 683*x^68 - 751*x^69 - 718*x^70 - 
       699*x^71 - 750*x^72 - 903*x^73 - 951*x^74 - 788*x^75 - 727*x^76 - 
       860*x^77 - 966*x^78 - 1001*x^79 - 886*x^80 - 786*x^81 - 1049*x^82 - 
       1106*x^83 - 912*x^84 - 756*x^85 - 875*x^86 - 941*x^87 - 1106*x^88 - 
       854*x^89 - 643*x^90 - 886*x^91 - 968*x^92 - 813*x^93 - 681*x^94 - 
       616*x^95 - 735*x^96 - 981*x^97 - 638*x^98 - 442*x^99 - 523*x^100 - 
       574*x^101 - 567*x^102 - 482*x^103 - 161*x^104 - 474*x^105 - 
       580*x^106 - 293*x^107 - 137*x^108 + 41*x^109 + 82*x^110 - 92*x^111 + 
       139*x^112 + 349*x^113 + 94*x^114 + 32*x^115 + 107*x^116 + 530*x^117 + 
       889*x^118 + 954*x^119 + 489*x^120 + 824*x^121 + 887*x^122 + 
       866*x^123 + 783*x^124 + 548*x^125 + 1084*x^126 + 1711*x^127 + 
       1625*x^128 + 961*x^129 + 1110*x^130 + 1198*x^131 + 1441*x^132 + 
       1503*x^133 + 870*x^134 + 1382*x^135 + 1788*x^136 + 1850*x^137 + 
       1323*x^138 + 870*x^139 + 1257*x^140 + 1912*x^141 + 1722*x^142 + 
       1175*x^143 + 1076*x^144 + 1124*x^145 + 1658*x^146 + 1179*x^147 + 
       765*x^148 + 738*x^149 + 1493*x^150 + 1156*x^151 + 874*x^152 + 
       77*x^153 + 35*x^154 + 641*x^155 + 530*x^156 + 350*x^157 + 82*x^158 + 
       185*x^159 + 221*x^160 + 214*x^161 - 294*x^162 - 540*x^163 + 
       505*x^164 + 330*x^165 + 688*x^166 + 911*x^167 + 279*x^168 + 
       936*x^169 + 972*x^170 + 1122*x^171 + 1147*x^172 + 1957*x^173 + 
       2158*x^174 + 2476*x^175 + 2597*x^176 + 2392*x^177 + 2474*x^178 + 
       2551*x^179 + 2340*x^180 + 2749*x^181 + 2969*x^182 + 3397*x^183 + 
       2850*x^184 + 2551*x^185 + 1774*x^186 + 1725*x^187 + 1282*x^188 + 
       181*x^189 + 745*x^190 + 1635*x^191 + 206*x^192 + 176*x^193 - 
       1088*x^194 - 2215*x^195 - 1769*x^196 - 2885*x^197 - 3074*x^198 - 
       3060*x^199 - 1968*x^200 - 3894*x^201 - 3610*x^202 - 4860*x^203 - 
       5180*x^204 - 4244*x^205 - 4636*x^206 - 3742*x^207 - 3131*x^208 - 
       4650*x^209 - 4658*x^210 - 3096*x^211 - 3794*x^212 - 3294*x^213 - 
       1746*x^214 - 1762*x^215 + 346*x^216 + 1151*x^217 - 1182*x^218 - 
       65*x^219 + 2043*x^220 + 1542*x^221 + 3862*x^222 + 3806*x^223 + 
       3835*x^224 + 4395*x^225 + 4213*x^226 + 4340*x^227 + 6166*x^228 + 
       5260*x^229 + 3801*x^230 + 5500*x^231 + 4618*x^232 + 3853*x^233 + 
       2776*x^234 + 440*x^235 + 1532*x^236 + 3507*x^237 + 1132*x^238 - 
       861*x^239 - 1462*x^240 - 2064*x^241 - 1910*x^242 - 2557*x^243 - 
       3893*x^244 - 3211*x^245 - 2900*x^246 - 3369*x^247 - 2784*x^248 - 
       3927*x^249 - 3118*x^250 - 774*x^251 - 628*x^252 + 709*x^253 - 
       15*x^254 + 7*x^255 + 874*x^256 + 1509*x^257 + 1721*x^258 + 
       2250*x^259 + 1971*x^260 + 3113*x^261 + 3450*x^262 + 1322*x^263 + 
       646*x^264 - 994*x^265 - 2124*x^266 - 1442*x^267 - 1589*x^268 - 
       5624*x^269 - 7876*x^270 - 7767*x^271 - 7164*x^272 - 6494*x^273 - 
       9816*x^274 - 11279*x^275 - 8502*x^276 - 7405*x^277 - 8006*x^278 - 
       8947*x^279 - 9493*x^280 - 5850*x^281 - 1301*x^282 - 513*x^283 + 
       976*x^284 + 4104*x^285 + 4392*x^286 + 6605*x^287 + 11545*x^288 + 
       12398*x^289 + 12540*x^290 + 12384*x^291 + 13983*x^292 + 17213*x^293 + 
       16827*x^294 + 13636*x^295 + 12851*x^296 + 13650*x^297 + 14692*x^298 + 
       11253*x^299 + 7270*x^300 + 2474*x^301 + 2905*x^302 + 80*x^303 - 
       4610*x^304 - 3937*x^305 - 5966*x^306 - 10205*x^307 - 11597*x^308 - 
       10339*x^309 - 11869*x^310 - 14073*x^311 - 14381*x^312 - 15205*x^313 - 
       11761*x^314 - 10487*x^315 - 12639*x^316 - 10009*x^317 - 6166*x^318 - 
       3378*x^319 - 1919*x^320 - 2123*x^321 + 1022*x^322 + 5599*x^323 + 
       1285*x^324 + 1953*x^325 + 8309*x^326 + 8535*x^327 + 5275*x^328 + 
       8535*x^329 + 6363*x^330 + 7561*x^331 + 10328*x^332 + 4586*x^333 + 
       3593*x^334 + 5269*x^335 + 1253*x^336 + 297*x^337 - 153*x^338 - 
       1412*x^339 - 815*x^340 - 3190*x^341 - 4822*x^342 + 3133*x^343 - 
       1617*x^344 - 9235*x^345 - 4336*x^346 - 2743*x^347 - 4332*x^348 - 
       1021*x^349 - 5201*x^350 - 6525*x^351 + 1542*x^352 + 237*x^353 - 
       1385*x^354 + 1186*x^355 - 1297*x^356 + 437*x^357 + 1860*x^358 - 
       695*x^359 + 3091*x^360 - 766*x^361 - 5387*x^362 + 4262*x^363 + 
       7367*x^364 + 181*x^365 + 2389*x^366 + 1396*x^367 + 1331*x^368 + 
       6437*x^369 + 3819*x^370 - 2170*x^371 + 2396*x^372 + 3036*x^373 + 
       3488*x^374 + 4318*x^375 + 1283*x^376 + 2808*x^377 + 3162*x^378 - 
       644*x^379 + 5060*x^380 + 2791*x^381 - 5497*x^382 - 3611*x^383 - 
       165*x^384 - 3534*x^385 - 2660*x^386 - 5605*x^387 - 8610*x^388 - 
       3956*x^389 - 3314*x^390 - 7893*x^391 - 8822*x^392 - 8462*x^393 - 
       5312*x^394 - 5008*x^395 - 8038*x^396 - 4344*x^397 - 2356*x^398 - 
       4105*x^399 + 452*x^400 + 3346*x^401 + 1257*x^402 + 2481*x^403 + 
       5102*x^404 + 6328*x^405 + 8573*x^406 + 8645*x^407 + 6230*x^408 + 
       7974*x^409 + 11654*x^410 + 12419*x^411 + 7942*x^412 + 4647*x^413 + 
       7813*x^414 + 8505*x^415 + 4234*x^416 + 2727*x^417 + 240*x^418 - 
       1312*x^419 - 1084*x^420 - 1338*x^421 - 3706*x^422 - 6572*x^423 - 
       8308*x^424 - 7758*x^425 - 7197*x^426 - 6865*x^427 - 8187*x^428 - 
       11864*x^429 - 10328*x^430 - 3947*x^431 - 3533*x^432 - 6631*x^433 - 
       5327*x^434 - 3364*x^435 - 436*x^436 + 2357*x^437 + 1190*x^438 + 
       904*x^439 + 1686*x^440 + 3439*x^441 + 7031*x^442 + 7157*x^443 + 
       5346*x^444 + 5180*x^445 + 4751*x^446 + 6093*x^447 + 9218*x^448 + 
       5409*x^449 + 775*x^450 + 2046*x^451 + 3220*x^452 + 2643*x^453 + 
       1939*x^454 - 1576*x^455 - 2566*x^456 - 1320*x^457 - 1196*x^458 - 
       1062*x^459 - 2710*x^460 - 5617*x^461 - 4478*x^462 - 3294*x^463 - 
       2782*x^464 - 1973*x^465 - 3931*x^466 - 5400*x^467 - 1658*x^468 + 
       462*x^469 - 434*x^470 - 766*x^471 - 1392*x^472 - 596*x^473 + 
       1824*x^474 + 1833*x^475 + 1284*x^476 + 799*x^477 + 258*x^478 + 
       1916*x^479 + 3243*x^480 + 2298*x^481 + 1722*x^482 + 775*x^483 + 
       392*x^484 + 2207*x^485 + 2273*x^486 + 98*x^487 - 698*x^488 - 
       488*x^489 - 35*x^490 + 704*x^491 - 100*x^492 - 1154*x^493 - 
       1152*x^494 - 885*x^495 - 236*x^496 - 8*x^497 - 1139*x^498 - 
       1415*x^499 - 1090*x^500 - 651*x^501 + 102*x^502 - 34*x^503 - 
       997*x^504 - 676*x^505 + 173*x^506 + 525*x^507 + 489*x^508 + 67*x^509 - 
       275*x^510 + 173*x^511 + 508*x^512 + 613*x^513 + 394*x^514 - 23*x^515 + 
       30*x^516 + 485*x^517 + 503*x^518 + 453*x^519 + 128*x^520 - 179*x^521 + 
       41*x^522 + 332*x^523 + 142*x^524 - 101*x^525 - 254*x^526 - 208*x^527 - 
       9*x^528 + 74*x^529 - 61*x^530 - 172*x^531 - 231*x^532 - 107*x^533 + 
       46*x^534 - 27*x^535 - 131*x^536 - 151*x^537 - 136*x^538 + 14*x^539 + 
       72*x^540 - 30*x^541 - 70*x^542 - 22*x^543 + 41*x^544 + 79*x^545 + 
       53*x^546 - 12*x^548 + 7*x^549 + 46*x^550 + 58*x^551 + 18*x^552 - 
       16*x^553 + 9*x^554 + 19*x^555 + 38*x^556 + 25*x^557 - 14*x^558 - 
       14*x^559 + 9*x^560 + 7*x^561 + 2*x^562 - 13*x^563 - 14*x^564 - 
       10*x^565 + x^567 - 9*x^569 - 10*x^570 - 2*x^571 + 2*x^572 - x^573 - 
       x^574 - 8*x^575 - 2*x^576 + 2*x^577 + x^578 - x^579 + 2*x^582 + 
       x^583 + x^584 + x^588 + x^589 + x^594));

genfun[20,x_] :=
     -((1 + 3*x + 6*x^2 + 12*x^3 + 18*x^4 + 30*x^5 + 42*x^6 + 59*x^7 + 
       75*x^8 + 102*x^9 + 132*x^10 + 185*x^11 + 231*x^12 + 291*x^13 + 
       372*x^14 + 492*x^15 + 593*x^16 + 734*x^17 + 906*x^18 + 1124*x^19 + 
       1371*x^20 + 1736*x^21 + 2089*x^22 + 2570*x^23 + 3068*x^24 + 
       3696*x^25 + 4341*x^26 + 5169*x^27 + 6073*x^28 + 7243*x^29 + 
       8615*x^30 + 10223*x^31 + 11901*x^32 + 13961*x^33 + 16363*x^34 + 
       19268*x^35 + 22005*x^36 + 25353*x^37 + 29120*x^38 + 33842*x^39 + 
       39036*x^40 + 44521*x^41 + 50642*x^42 + 57938*x^43 + 66073*x^44 + 
       74675*x^45 + 83737*x^46 + 94259*x^47 + 106829*x^48 + 120960*x^49 + 
       135676*x^50 + 151357*x^51 + 169502*x^52 + 190031*x^53 + 213073*x^54 + 
       235529*x^55 + 260740*x^56 + 289161*x^57 + 323544*x^58 + 357602*x^59 + 
       393558*x^60 + 431817*x^61 + 478119*x^62 + 526029*x^63 + 576845*x^64 + 
       626118*x^65 + 686172*x^66 + 753350*x^67 + 826964*x^68 + 896361*x^69 + 
       973862*x^70 + 1057606*x^71 + 1155338*x^72 + 1250025*x^73 + 
       1350075*x^74 + 1451484*x^75 + 1577274*x^76 + 1707178*x^77 + 
       1843724*x^78 + 1970959*x^79 + 2118529*x^80 + 2277480*x^81 + 
       2453419*x^82 + 2614549*x^83 + 2785702*x^84 + 2972037*x^85 + 
       3194723*x^86 + 3414267*x^87 + 3631070*x^88 + 3837725*x^89 + 
       4087223*x^90 + 4344710*x^91 + 4609736*x^92 + 4845868*x^93 + 
       5111699*x^94 + 5411967*x^95 + 5750883*x^96 + 6054439*x^97 + 
       6352652*x^98 + 6647772*x^99 + 7000473*x^100 + 7349353*x^101 + 
       7674497*x^102 + 7967846*x^103 + 8341024*x^104 + 8745972*x^105 + 
       9181954*x^106 + 9532644*x^107 + 9872732*x^108 + 10232570*x^109 + 
       10666185*x^110 + 11027742*x^111 + 11370718*x^112 + 11700773*x^113 + 
       12159794*x^114 + 12631714*x^115 + 13060160*x^116 + 13355124*x^117 + 
       13689426*x^118 + 14044692*x^119 + 14439027*x^120 + 14685234*x^121 + 
       14963701*x^122 + 15259915*x^123 + 15690098*x^124 + 16018827*x^125 + 
       16260724*x^126 + 16353424*x^127 + 16526178*x^128 + 16624802*x^129 + 
       16721529*x^130 + 16647125*x^131 + 16699671*x^132 + 16741041*x^133 + 
       16810598*x^134 + 16686394*x^135 + 16465314*x^136 + 16134373*x^137 + 
       15828192*x^138 + 15380501*x^139 + 14907815*x^140 + 14375414*x^141 + 
       13986086*x^142 + 13464874*x^143 + 12947956*x^144 + 12135473*x^145 + 
       11424908*x^146 + 10470736*x^147 + 9536017*x^148 + 8457650*x^149 + 
       7466996*x^150 + 6481512*x^151 + 5576885*x^152 + 4459318*x^153 + 
       3349354*x^154 + 1997598*x^155 + 760024*x^156 - 796975*x^157 - 
       2244404*x^158 - 3762028*x^159 - 5071423*x^160 - 6572820*x^161 - 
       7892017*x^162 - 9573560*x^163 - 11147743*x^164 - 12952059*x^165 - 
       14744994*x^166 - 16843142*x^167 - 18615337*x^168 - 20405586*x^169 - 
       21993647*x^170 - 23801482*x^171 - 25656986*x^172 - 27671677*x^173 - 
       29602439*x^174 - 31632211*x^175 - 33686221*x^176 - 36125621*x^177 - 
       37621879*x^178 - 39328632*x^179 - 40588488*x^180 - 42587786*x^181 - 
       44392523*x^182 - 46091715*x^183 - 47535652*x^184 - 48870216*x^185 - 
       50635864*x^186 - 51820562*x^187 - 52646768*x^188 - 52892712*x^189 - 
       53501826*x^190 - 54677658*x^191 - 55248212*x^192 - 55648425*x^193 - 
       55265918*x^194 - 55418314*x^195 - 55445691*x^196 - 54968622*x^197 - 
       53946452*x^198 - 52252238*x^199 - 52241946*x^200 - 51553628*x^201 - 
       50633834*x^202 - 48807884*x^203 - 47115627*x^204 - 45933328*x^205 - 
       44663424*x^206 - 42475098*x^207 - 39640881*x^208 - 37418273*x^209 - 
       36279077*x^210 - 34950679*x^211 - 32667740*x^212 - 29971403*x^213 - 
       28292450*x^214 - 26874899*x^215 - 25480180*x^216 - 22624825*x^217 - 
       19238893*x^218 - 17405106*x^219 - 16395763*x^220 - 14805841*x^221 - 
       13170688*x^222 - 10987578*x^223 - 10231781*x^224 - 9181813*x^225 - 
       7008397*x^226 - 5121542*x^227 - 2360000*x^228 - 975982*x^229 + 
       273930*x^230 + 1561653*x^231 + 1882855*x^232 + 2762473*x^233 + 
       3149857*x^234 + 6926305*x^235 + 8846472*x^236 + 11497041*x^237 + 
       11321434*x^238 + 13256121*x^239 + 14509397*x^240 + 15068651*x^241 + 
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       1911116105*x^471 - 2178521550*x^472 - 2357323919*x^473 - 
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       2499451579*x^477 - 2382625682*x^478 - 2381181500*x^479 - 
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       1734278671*x^489 + 1847079104*x^490 + 2132352690*x^491 + 
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       908984379*x^501 + 76371047*x^502 - 461558896*x^503 - 762957172*x^504 - 
       1066347114*x^505 - 1489312099*x^506 - 1792130236*x^507 - 
       1906342305*x^508 - 1929881498*x^509 - 2153340038*x^510 - 
       2538594491*x^511 - 3018600701*x^512 - 3252516245*x^513 - 
       3313658738*x^514 - 3156642065*x^515 - 2945392597*x^516 - 
       2752041391*x^517 - 2438597184*x^518 - 1952288813*x^519 - 
       1112050599*x^520 - 261673260*x^521 + 369703933*x^522 + 
       689625133*x^523 + 897107776*x^524 + 1180505957*x^525 + 
       1515089457*x^526 + 1645113967*x^527 + 1723256725*x^528 + 
       1835978888*x^529 + 2317428208*x^530 + 2839191816*x^531 + 
       3371986366*x^532 + 3481517611*x^533 + 3456512709*x^534 + 
       3245310965*x^535 + 3072416660*x^536 + 2810879965*x^537 + 
       2344614618*x^538 + 1631325029*x^539 + 881960088*x^540 + 
       267671730*x^541 + 43595366*x^542 - 126652986*x^543 - 216281210*x^544 - 
       463148923*x^545 - 626181413*x^546 - 709358800*x^547 - 
       928281884*x^548 - 1318094145*x^549 - 2015441608*x^550 - 
       2628262253*x^551 - 3038042353*x^552 - 3112575138*x^553 - 
       3031879953*x^554 - 2968545632*x^555 - 2808014463*x^556 - 
       2532919409*x^557 - 2013227348*x^558 - 1416900226*x^559 - 
       1080385462*x^560 - 873228534*x^561 - 987708651*x^562 - 
       921178158*x^563 - 933223796*x^564 - 817238631*x^565 - 
       743727312*x^566 - 564062013*x^567 - 101610723*x^568 + 
       523200012*x^569 + 1245207134*x^570 + 1780597698*x^571 + 
       1978665123*x^572 + 2096616556*x^573 + 2048165583*x^574 + 
       2125875675*x^575 + 1935106282*x^576 + 1689506804*x^577 + 
       1336129755*x^578 + 1154458285*x^579 + 1253531851*x^580 + 
       1375917936*x^581 + 1590691771*x^582 + 1659679206*x^583 + 
       1764922924*x^584 + 1779206811*x^585 + 1642573056*x^586 + 
       1314812201*x^587 + 729525080*x^588 + 115192225*x^589 - 
       407171631*x^590 - 706500876*x^591 - 753013583*x^592 - 
       861554111*x^593 - 862233957*x^594 - 884285517*x^595 - 
       673765854*x^596 - 502298434*x^597 - 452898746*x^598 - 
       666736610*x^599 - 941579134*x^600 - 1173440100*x^601 - 
       1348819643*x^602 - 1554776274*x^603 - 1687453692*x^604 - 
       1708455639*x^605 - 1454494593*x^606 - 1072151162*x^607 - 
       588703944*x^608 - 218227379*x^609 - 7603111*x^610 + 22460409*x^611 - 
       10180880*x^612 - 11790817*x^613 - 60154412*x^614 - 235830806*x^615 - 
       427772963*x^616 - 486070149*x^617 - 291763022*x^618 + 10929015*x^619 + 
       196745236*x^620 + 359022210*x^621 + 498438162*x^622 + 
       724645835*x^623 + 774887339*x^624 + 689942991*x^625 + 
       392928154*x^626 + 107640736*x^627 - 137294235*x^628 - 
       216073447*x^629 - 153581209*x^630 - 16191448*x^631 + 97704571*x^632 + 
       234776881*x^633 + 437591726*x^634 + 751852692*x^635 + 
       889360501*x^636 + 849004289*x^637 + 623293084*x^638 + 
       510378245*x^639 + 496254444*x^640 + 447875100*x^641 + 
       343693016*x^642 + 249721360*x^643 + 345930423*x^644 + 
       524754874*x^645 + 762998980*x^646 + 884347701*x^647 + 
       920241452*x^648 + 822930158*x^649 + 620141835*x^650 + 
       444092411*x^651 + 252363430*x^652 + 33122119*x^653 - 294285904*x^654 - 
       585419632*x^655 - 656197842*x^656 - 585667838*x^657 - 
       512833779*x^658 - 617104711*x^659 - 717774771*x^660 - 
       744299832*x^661 - 726762583*x^662 - 805277681*x^663 - 
       1014687570*x^664 - 1199909408*x^665 - 1342120254*x^666 - 
       1347666328*x^667 - 1298646606*x^668 - 1161195717*x^669 - 
       966625599*x^670 - 821175708*x^671 - 619960272*x^672 - 
       388366499*x^673 - 87453787*x^674 + 78452193*x^675 + 98121046*x^676 + 
       68598491*x^677 + 160153010*x^678 + 345184287*x^679 + 475010670*x^680 + 
       536321116*x^681 + 619480964*x^682 + 795010005*x^683 + 
       1019600162*x^684 + 1151929998*x^685 + 1226921538*x^686 + 
       1200775444*x^687 + 1162705953*x^688 + 1065522939*x^689 + 
       963095167*x^690 + 864441762*x^691 + 724483643*x^692 + 
       543832483*x^693 + 385060074*x^694 + 337850843*x^695 + 
       342310382*x^696 + 313858338*x^697 + 168804208*x^698 + 20136679*x^699 - 
       82455307*x^700 - 159213040*x^701 - 284949280*x^702 - 457366843*x^703 - 
       620371770*x^704 - 698257250*x^705 - 744116955*x^706 - 
       733759715*x^707 - 730846772*x^708 - 697477650*x^709 - 
       681292318*x^710 - 628764184*x^711 - 565291739*x^712 - 
       471908831*x^713 - 449723366*x^714 - 464665783*x^715 - 
       472367554*x^716 - 420560116*x^717 - 317023671*x^718 - 
       236454425*x^719 - 178348131*x^720 - 104438174*x^721 - 2752041*x^722 + 
       111546360*x^723 + 198418132*x^724 + 242870723*x^725 + 
       274933562*x^726 + 283151132*x^727 + 301985649*x^728 + 
       315814685*x^729 + 337595655*x^730 + 322014802*x^731 + 
       310220962*x^732 + 294061000*x^733 + 335725712*x^734 + 
       365944477*x^735 + 368525691*x^736 + 330367098*x^737 + 
       288711095*x^738 + 259475158*x^739 + 235160540*x^740 + 
       182165117*x^741 + 128384058*x^742 + 74943667*x^743 + 39826822*x^744 + 
       14500119*x^745 - 6098699*x^746 - 19653971*x^747 - 42541226*x^748 - 
       71876479*x^749 - 96339392*x^750 - 100504427*x^751 - 110777168*x^752 - 
       131729294*x^753 - 178489315*x^754 - 202269679*x^755 - 
       200541894*x^756 - 186140736*x^757 - 181758571*x^758 - 
       179679103*x^759 - 171723215*x^760 - 144877814*x^761 - 
       126438164*x^762 - 111387290*x^763 - 100881647*x^764 - 87839145*x^765 - 
       76593675*x^766 - 66399935*x^767 - 49454818*x^768 - 26436514*x^769 - 
       9944008*x^770 - 1973259*x^771 + 11921608*x^772 + 35832841*x^773 + 
       66487332*x^774 + 79191277*x^775 + 76929120*x^776 + 76978995*x^777 + 
       84168674*x^778 + 91245337*x^779 + 88927590*x^780 + 80040102*x^781 + 
       77547500*x^782 + 78115942*x^783 + 76372279*x^784 + 70668561*x^785 + 
       65254204*x^786 + 60141559*x^787 + 50953290*x^788 + 39071710*x^789 + 
       29986784*x^790 + 25060893*x^791 + 15220580*x^792 + 943688*x^793 - 
       14401428*x^794 - 18932824*x^795 - 18311610*x^796 - 21829344*x^797 - 
       28977418*x^798 - 35324760*x^799 - 34907005*x^800 - 33212064*x^801 - 
       35121452*x^802 - 38556922*x^803 - 38845783*x^804 - 36663080*x^805 - 
       34230987*x^806 - 32502929*x^807 - 28853165*x^808 - 24177876*x^809 - 
       20127846*x^810 - 18012822*x^811 - 13185449*x^812 - 7227777*x^813 - 
       997993*x^814 - 189874*x^815 + 477973*x^816 + 2832671*x^817 + 
       7329921*x^818 + 10333480*x^819 + 10541382*x^820 + 10418543*x^821 + 
       12404901*x^822 + 14627517*x^823 + 14933977*x^824 + 14064821*x^825 + 
       13172079*x^826 + 12810479*x^827 + 11930574*x^828 + 10304175*x^829 + 
       9018799*x^830 + 8157048*x^831 + 6508483*x^832 + 4581229*x^833 + 
       2582191*x^834 + 2640736*x^835 + 1862185*x^836 + 813688*x^837 - 
       1268633*x^838 - 2105782*x^839 - 2276436*x^840 - 2358085*x^841 - 
       3503562*x^842 - 4347550*x^843 - 4435242*x^844 - 4041912*x^845 - 
       3903845*x^846 - 3881887*x^847 - 3835569*x^848 - 3284018*x^849 - 
       3064895*x^850 - 2744444*x^851 - 2370326*x^852 - 1799611*x^853 - 
       1354047*x^854 - 1390722*x^855 - 1013057*x^856 - 555443*x^857 + 
       90221*x^858 + 188798*x^859 + 209541*x^860 + 335495*x^861 + 
       822331*x^862 + 997278*x^863 + 973111*x^864 + 833814*x^865 + 
       919162*x^866 + 952188*x^867 + 950543*x^868 + 786281*x^869 + 
       809548*x^870 + 750560*x^871 + 686238*x^872 + 492906*x^873 + 
       450074*x^874 + 443488*x^875 + 342192*x^876 + 148452*x^877 + 
       36720*x^878 + 68880*x^879 + 87812*x^880 - 5428*x^881 - 164104*x^882 - 
       162036*x^883 - 123022*x^884 - 102768*x^885 - 172752*x^886 - 
       197664*x^887 - 162114*x^888 - 127212*x^889 - 159250*x^890 - 
       172548*x^891 - 153462*x^892 - 88116*x^893 - 97764*x^894 - 
       98118*x^895 - 81366*x^896 - 20286*x^897 - 15594*x^898 - 39768*x^899 - 
       48234*x^900 - 10416*x^901 + 28314*x^902 + 15030*x^903 - 2688*x^904 + 
       1050*x^905 + 25392*x^906 + 33006*x^907 + 13314*x^908 + 9528*x^909 + 
       22776*x^910 + 31296*x^911 + 22890*x^912 + 7140*x^913 + 11964*x^914 + 
       14958*x^915 + 12876*x^916 + 288*x^917 + 2106*x^918 + 9552*x^919 + 
       10842*x^920 + 2190*x^921 - 4236*x^922 - 480*x^923 + 3120*x^924 + 
       1560*x^925 - 2988*x^926 - 3612*x^927 + 570*x^928 + 168*x^929 - 
       2976*x^930 - 4092*x^931 - 1872*x^932 + 366*x^933 - 630*x^934 - 
       1440*x^935 - 1368*x^936 + 192*x^937 - 276*x^938 - 1296*x^939 - 
       1296*x^940 - 210*x^941 + 312*x^942 - 54*x^943 - 294*x^944 - 
       162*x^945 + 210*x^946 + 108*x^947 - 270*x^948 - 36*x^949 + 306*x^950 + 
       282*x^951 + 48*x^952 - 102*x^953 - 6*x^954 + 42*x^955 + 78*x^956 - 
       12*x^957 + 60*x^958 + 90*x^959 + 72*x^960 + 6*x^961 + 6*x^962 + 
       6*x^967 + 24*x^968)/(-1 + x^7 + x^11 + 3*x^13 + 3*x^14 + 3*x^15 + 
       4*x^16 + 4*x^17 + 6*x^18 + 4*x^19 + 3*x^20 + 7*x^21 + 14*x^22 + 
       16*x^23 + 16*x^24 + 18*x^25 + 27*x^26 + 30*x^27 + 29*x^28 + 26*x^29 + 
       37*x^30 + 52*x^31 + 63*x^32 + 64*x^33 + 77*x^34 + 91*x^35 + 114*x^36 + 
       105*x^37 + 109*x^38 + 121*x^39 + 159*x^40 + 182*x^41 + 208*x^42 + 
       214*x^43 + 263*x^44 + 304*x^45 + 329*x^46 + 316*x^47 + 343*x^48 + 
       393*x^49 + 473*x^50 + 524*x^51 + 562*x^52 + 595*x^53 + 734*x^54 + 
       793*x^55 + 815*x^56 + 828*x^57 + 894*x^58 + 1030*x^59 + 1188*x^60 + 
       1239*x^61 + 1332*x^62 + 1485*x^63 + 1702*x^64 + 1806*x^65 + 
       1830*x^66 + 1834*x^67 + 2068*x^68 + 2319*x^69 + 2539*x^70 + 
       2639*x^71 + 2809*x^72 + 3126*x^73 + 3507*x^74 + 3495*x^75 + 
       3495*x^76 + 3677*x^77 + 4063*x^78 + 4478*x^79 + 4697*x^80 + 
       4755*x^81 + 5234*x^82 + 5687*x^83 + 5969*x^84 + 5898*x^85 + 
       6031*x^86 + 6300*x^87 + 7006*x^88 + 7345*x^89 + 7498*x^90 + 
       7792*x^91 + 8458*x^92 + 8858*x^93 + 9103*x^94 + 8946*x^95 + 
       9273*x^96 + 9926*x^97 + 10522*x^98 + 10656*x^99 + 10941*x^100 + 
       11504*x^101 + 12109*x^102 + 12391*x^103 + 12395*x^104 + 12357*x^105 + 
       13073*x^106 + 13461*x^107 + 13765*x^108 + 13555*x^109 + 14232*x^110 + 
       14508*x^111 + 14768*x^112 + 14917*x^113 + 14497*x^114 + 14633*x^115 + 
       15199*x^116 + 14643*x^117 + 14481*x^118 + 14379*x^119 + 14664*x^120 + 
       14262*x^121 + 14465*x^122 + 13808*x^123 + 13426*x^124 + 13083*x^125 + 
       12557*x^126 + 11483*x^127 + 11031*x^128 + 10609*x^129 + 9948*x^130 + 
       9289*x^131 + 9408*x^132 + 8217*x^133 + 7063*x^134 + 6035*x^135 + 
       4653*x^136 + 3284*x^137 + 3066*x^138 + 1147*x^139 + 130*x^140 - 
       656*x^141 + 40*x^142 - 2350*x^143 - 3718*x^144 - 6701*x^145 - 
       8375*x^146 - 8533*x^147 - 10648*x^148 - 11804*x^149 - 13598*x^150 - 
       13878*x^151 - 14051*x^152 - 16231*x^153 - 19375*x^154 - 23703*x^155 - 
       23707*x^156 - 25682*x^157 - 25684*x^158 - 26774*x^159 - 29369*x^160 - 
       29151*x^161 - 31208*x^162 - 32578*x^163 - 38759*x^164 - 39144*x^165 - 
       39876*x^166 - 41080*x^167 - 39407*x^168 - 41427*x^169 - 43498*x^170 - 
       43340*x^171 - 44008*x^172 - 47987*x^173 - 50656*x^174 - 47651*x^175 - 
       47246*x^176 - 44341*x^177 - 46208*x^178 - 48414*x^179 - 46794*x^180 - 
       42616*x^181 - 42487*x^182 - 46638*x^183 - 45182*x^184 - 39576*x^185 - 
       34568*x^186 - 33082*x^187 - 34450*x^188 - 34908*x^189 - 30120*x^190 - 
       26160*x^191 - 21844*x^192 - 25209*x^193 - 22879*x^194 - 18119*x^195 - 
       16284*x^196 - 12048*x^197 - 12598*x^198 - 8518*x^199 - 12144*x^200 - 
       7276*x^201 - 6136*x^202 - 3262*x^203 - 2589*x^204 - 7649*x^205 - 
       11235*x^206 - 7461*x^207 + 144*x^208 + 8021*x^209 - 4198*x^210 + 
       91*x^211 - 7249*x^212 + 3578*x^213 + 2198*x^214 - 6691*x^215 - 
       8429*x^216 - 8690*x^217 + 14473*x^218 + 14463*x^219 + 17224*x^220 + 
       6571*x^221 - 3233*x^222 + 9045*x^223 + 7580*x^224 + 21349*x^225 + 
       25390*x^226 + 22664*x^227 + 29600*x^228 + 19204*x^229 + 39876*x^230 + 
       21537*x^231 + 21536*x^232 + 11951*x^233 + 25526*x^234 + 56981*x^235 + 
       55443*x^236 + 39516*x^237 + 6560*x^238 + 135*x^239 + 17734*x^240 + 
       15943*x^241 + 21517*x^242 + 509*x^243 - 2863*x^244 + 2655*x^245 - 
       14949*x^246 - 14047*x^247 - 44845*x^248 - 49085*x^249 - 68906*x^250 - 
       49404*x^251 - 33941*x^252 - 52878*x^253 - 107185*x^254 - 
       135777*x^255 - 131744*x^256 - 60997*x^257 - 76775*x^258 - 
       80508*x^259 - 140642*x^260 - 108446*x^261 - 83384*x^262 - 
       90352*x^263 - 111461*x^264 - 128942*x^265 - 77105*x^266 - 
       38753*x^267 - 15237*x^268 + 1195*x^269 - 37587*x^270 - 21614*x^271 - 
       33825*x^272 + 38007*x^273 + 88360*x^274 + 97053*x^275 + 97708*x^276 + 
       8097*x^277 + 71219*x^278 + 106103*x^279 + 115709*x^280 + 60788*x^281 + 
       22741*x^282 + 80191*x^283 + 105484*x^284 + 115424*x^285 + 
       10802*x^286 - 89855*x^287 - 86263*x^288 - 99523*x^289 - 66307*x^290 - 
       105270*x^291 - 132034*x^292 - 202420*x^293 - 251524*x^294 - 
       220327*x^295 - 178358*x^296 - 194295*x^297 - 248802*x^298 - 
       306663*x^299 - 186189*x^300 - 113482*x^301 - 49687*x^302 - 
       153315*x^303 - 185870*x^304 - 25693*x^305 + 135807*x^306 + 
       227215*x^307 + 232509*x^308 + 221979*x^309 + 326205*x^310 + 
       347132*x^311 + 463910*x^312 + 446935*x^313 + 492228*x^314 + 
       493563*x^315 + 442268*x^316 + 523774*x^317 + 547040*x^318 + 
       541244*x^319 + 325183*x^320 + 170104*x^321 + 170826*x^322 + 
       215800*x^323 + 164701*x^324 - 125935*x^325 - 350681*x^326 - 
       398900*x^327 - 490312*x^328 - 453030*x^329 - 707795*x^330 - 
       726823*x^331 - 809658*x^332 - 792686*x^333 - 822710*x^334 - 
       811499*x^335 - 807429*x^336 - 886282*x^337 - 906927*x^338 - 
       663234*x^339 - 382070*x^340 - 101735*x^341 - 174967*x^342 - 
       174810*x^343 + 93711*x^344 + 466708*x^345 + 722646*x^346 + 
       710439*x^347 + 796747*x^348 + 985383*x^349 + 1276181*x^350 + 
       1304174*x^351 + 1233441*x^352 + 1296886*x^353 + 1337119*x^354 + 
       1292033*x^355 + 1341442*x^356 + 1248260*x^357 + 1305097*x^358 + 
       827931*x^359 + 423830*x^360 + 129810*x^361 + 166640*x^362 + 
       208359*x^363 - 293914*x^364 - 745195*x^365 - 943127*x^366 - 
       951507*x^367 - 988792*x^368 - 1486901*x^369 - 1682605*x^370 - 
       1741090*x^371 - 1608295*x^372 - 1679589*x^373 - 1749929*x^374 - 
       1685979*x^375 - 1762756*x^376 - 1603832*x^377 - 1488070*x^378 - 
       869556*x^379 - 262748*x^380 - 308769*x^381 - 319565*x^382 - 
       251752*x^383 + 411073*x^384 + 902020*x^385 + 868847*x^386 + 
       974149*x^387 + 1171461*x^388 + 1896997*x^389 + 2041341*x^390 + 
       1930977*x^391 + 1939053*x^392 + 1950927*x^393 + 2088417*x^394 + 
       2101016*x^395 + 2047257*x^396 + 2049977*x^397 + 1507294*x^398 + 
       963763*x^399 + 431167*x^400 + 807194*x^401 + 837745*x^402 + 
       427007*x^403 - 256793*x^404 - 680877*x^405 - 460714*x^406 - 
       726338*x^407 - 1386669*x^408 - 2028537*x^409 - 2302513*x^410 - 
       1899478*x^411 - 2089104*x^412 - 2137911*x^413 - 2324937*x^414 - 
       2552536*x^415 - 2251590*x^416 - 2263820*x^417 - 1454954*x^418 - 
       1154964*x^419 - 1162413*x^420 - 1453667*x^421 - 1310400*x^422 - 
       484634*x^423 + 95365*x^424 + 260535*x^425 + 300656*x^426 + 
       863334*x^427 + 2073470*x^428 + 2408311*x^429 + 2649233*x^430 + 
       2131568*x^431 + 2446427*x^432 + 2734980*x^433 + 2974900*x^434 + 
       3201756*x^435 + 2712134*x^436 + 2454562*x^437 + 2013355*x^438 + 
       1954467*x^439 + 2390886*x^440 + 2041831*x^441 + 1469038*x^442 + 
       425515*x^443 + 63001*x^444 + 12526*x^445 - 725097*x^446 - 
       1792403*x^447 - 3039779*x^448 - 3147542*x^449 - 3027679*x^450 - 
       2789493*x^451 - 3296254*x^452 - 3913908*x^453 - 4008339*x^454 - 
       3881022*x^455 - 3294260*x^456 - 3039952*x^457 - 3265721*x^458 - 
       3282253*x^459 - 3320164*x^460 - 2092184*x^461 - 1138274*x^462 - 
       333855*x^463 - 58157*x^464 + 486777*x^465 + 1910059*x^466 + 
       3331476*x^467 + 4044177*x^468 + 3911145*x^469 + 3527893*x^470 + 
       3979268*x^471 + 4727490*x^472 + 5440241*x^473 + 5028530*x^474 + 
       4631707*x^475 + 4071220*x^476 + 4466887*x^477 + 4956167*x^478 + 
       4535081*x^479 + 3385767*x^480 + 1792990*x^481 + 880340*x^482 + 
       563212*x^483 - 48851*x^484 - 1413631*x^485 - 3270407*x^486 - 
       4251257*x^487 - 4334220*x^488 - 4002901*x^489 - 4048943*x^490 - 
       5250309*x^491 - 6088948*x^492 - 6371555*x^493 - 5458382*x^494 - 
       5163202*x^495 - 5240903*x^496 - 6211828*x^497 - 6293275*x^498 - 
       4822257*x^499 - 2951654*x^500 - 1832097*x^501 - 1433078*x^502 - 
       1315970*x^503 + 93040*x^504 + 1868796*x^505 + 3532855*x^506 + 
       3479065*x^507 + 3223470*x^508 + 3206966*x^509 + 4098674*x^510 + 
       5727725*x^511 + 6243716*x^512 + 5836595*x^513 + 5050661*x^514 + 
       5278808*x^515 + 6451357*x^516 + 7083514*x^517 + 6403878*x^518 + 
       4070303*x^519 + 2800332*x^520 + 2705430*x^521 + 2759081*x^522 + 
       2385164*x^523 + 290372*x^524 - 1130303*x^525 - 1820958*x^526 - 
       1061875*x^527 - 869896*x^528 - 1735652*x^529 - 3210778*x^530 - 
       4711710*x^531 - 4540246*x^532 - 3763363*x^533 - 3861990*x^534 - 
       4919453*x^535 - 6633947*x^536 - 6237178*x^537 - 4953858*x^538 - 
       3019715*x^539 - 3145053*x^540 - 3988035*x^541 - 3946691*x^542 - 
       3076497*x^543 - 1181809*x^544 - 682748*x^545 - 1144081*x^546 - 
       1791965*x^547 - 1577077*x^548 + 72408*x^549 + 1512376*x^550 + 
       2287505*x^551 + 1611580*x^552 + 1157904*x^553 + 2331351*x^554 + 
       3987935*x^555 + 5071002*x^556 + 3942083*x^557 + 2655413*x^558 + 
       2242621*x^559 + 3474271*x^560 + 4551099*x^561 + 4085508*x^562 + 
       2993448*x^563 + 2166236*x^564 + 2530833*x^565 + 3579741*x^566 + 
       3647400*x^567 + 2938089*x^568 + 1172271*x^569 + 308125*x^570 + 
       483723*x^571 + 1082100*x^572 + 743702*x^573 - 966897*x^574 - 
       2482086*x^575 - 2360506*x^576 - 1271108*x^577 - 662805*x^578 - 
       1713856*x^579 - 3145243*x^580 - 3762003*x^581 - 3026986*x^582 - 
       2291472*x^583 - 2547436*x^584 - 3308703*x^585 - 4223535*x^586 - 
       3778844*x^587 - 2787866*x^588 - 1604485*x^589 - 1515612*x^590 - 
       2237946*x^591 - 2338525*x^592 - 1393858*x^593 + 140433*x^594 + 
       802278*x^595 - 62094*x^596 - 638774*x^597 - 322048*x^598 + 
       1190438*x^599 + 2105050*x^600 + 2113782*x^601 + 1444211*x^602 + 
       1333065*x^603 + 2067837*x^604 + 2777940*x^605 + 3176937*x^606 + 
       2503301*x^607 + 1644675*x^608 + 1263284*x^609 + 1755907*x^610 + 
       2396412*x^611 + 2009648*x^612 + 1014913*x^613 + 113261*x^614 + 
       365393*x^615 + 1191752*x^616 + 1253769*x^617 + 375839*x^618 - 
       678450*x^619 - 928396*x^620 - 572754*x^621 - 164634*x^622 - 
       464771*x^623 - 1145690*x^624 - 1549767*x^625 - 1467997*x^626 - 
       793981*x^627 - 385134*x^628 - 565811*x^629 - 1198958*x^630 - 
       1408832*x^631 - 856243*x^632 - 174922*x^633 + 1804*x^634 - 
       641712*x^635 - 1052725*x^636 - 804914*x^637 + 8576*x^638 + 
       375175*x^639 + 189303*x^640 - 249687*x^641 - 409607*x^642 - 
       20461*x^643 + 381600*x^644 + 417236*x^645 + 93716*x^646 - 
       408237*x^647 - 401651*x^648 - 33509*x^649 + 379764*x^650 + 
       196255*x^651 - 226381*x^652 - 524626*x^653 - 242030*x^654 + 
       257878*x^655 + 335148*x^656 + 5516*x^657 - 402291*x^658 - 
       326180*x^659 + 22743*x^660 + 361461*x^661 + 377848*x^662 + 
       89333*x^663 - 22173*x^664 + 188471*x^665 + 541731*x^666 + 
       792649*x^667 + 603177*x^668 + 325518*x^669 + 234435*x^670 + 
       554853*x^671 + 766947*x^672 + 789950*x^673 + 424993*x^674 + 
       232320*x^675 + 295844*x^676 + 535687*x^677 + 591031*x^678 + 
       369828*x^679 + 46146*x^680 - 132400*x^681 - 94970*x^682 + 
       43239*x^683 - 49349*x^684 - 311625*x^685 - 570297*x^686 - 
       626797*x^687 - 453384*x^688 - 355227*x^689 - 472072*x^690 - 
       720414*x^691 - 781877*x^692 - 693850*x^693 - 468264*x^694 - 
       466049*x^695 - 551543*x^696 - 653553*x^697 - 555205*x^698 - 
       352840*x^699 - 148859*x^700 - 95189*x^701 - 128765*x^702 - 
       147932*x^703 + 17736*x^704 + 206156*x^705 + 339045*x^706 + 
       315188*x^707 + 231872*x^708 + 263508*x^709 + 417622*x^710 + 
       541138*x^711 + 539831*x^712 + 456482*x^713 + 377942*x^714 + 
       431251*x^715 + 491035*x^716 + 497989*x^717 + 388422*x^718 + 
       260045*x^719 + 177552*x^720 + 178952*x^721 + 189525*x^722 + 
       146883*x^723 + 13865*x^724 - 77258*x^725 - 120350*x^726 - 
       98048*x^727 - 84681*x^728 - 153998*x^729 - 256137*x^730 - 
       296077*x^731 - 283297*x^732 - 242923*x^733 - 233381*x^734 - 
       281356*x^735 - 307125*x^736 - 280761*x^737 - 208544*x^738 - 
       152128*x^739 - 140198*x^740 - 147797*x^741 - 141549*x^742 - 
       89932*x^743 - 22912*x^744 + 4545*x^745 + 10232*x^746 + 8843*x^747 + 
       23507*x^748 + 73276*x^749 + 117752*x^750 + 125213*x^751 + 
       116909*x^752 + 107417*x^753 + 113050*x^754 + 142069*x^755 + 
       144333*x^756 + 122049*x^757 + 86728*x^758 + 73411*x^759 + 
       81158*x^760 + 83528*x^761 + 71792*x^762 + 38786*x^763 + 17693*x^764 + 
       16296*x^765 + 15819*x^766 + 8744*x^767 - 6770*x^768 - 29444*x^769 - 
       41030*x^770 - 40863*x^771 - 39187*x^772 - 39964*x^773 - 44016*x^774 - 
       56641*x^775 - 51171*x^776 - 41190*x^777 - 28946*x^778 - 30409*x^779 - 
       34899*x^780 - 35595*x^781 - 26285*x^782 - 13027*x^783 - 9604*x^784 - 
       13113*x^785 - 10705*x^786 - 5518*x^787 + 2946*x^788 + 10154*x^789 + 
       10480*x^790 + 9453*x^791 + 11377*x^792 + 12403*x^793 + 14103*x^794 + 
       17281*x^795 + 13323*x^796 + 10779*x^797 + 8587*x^798 + 10713*x^799 + 
       11056*x^800 + 11748*x^801 + 7148*x^802 + 3868*x^803 + 4087*x^804 + 
       5879*x^805 + 3678*x^806 + 1913*x^807 - 1378*x^808 - 2856*x^809 - 
       1596*x^810 - 1086*x^811 - 3121*x^812 - 3006*x^813 - 3683*x^814 - 
       3701*x^815 - 2392*x^816 - 2159*x^817 - 2568*x^818 - 2902*x^819 - 
       2562*x^820 - 2957*x^821 - 1536*x^822 - 1029*x^823 - 1390*x^824 - 
       1679*x^825 - 738*x^826 - 503*x^827 + 465*x^828 + 594*x^829 - 
       91*x^830 - 123*x^831 + 794*x^832 + 503*x^833 + 722*x^834 + 458*x^835 + 
       269*x^836 + 311*x^837 + 722*x^838 + 514*x^839 + 444*x^840 + 
       547*x^841 + 297*x^842 + 205*x^843 + 357*x^844 + 291*x^845 + 80*x^846 + 
       103*x^847 - 90*x^848 - 76*x^849 + 143*x^850 + 65*x^851 - 145*x^852 - 
       44*x^853 - 87*x^854 - 9*x^855 - 16*x^856 - 25*x^857 - 140*x^858 - 
       44*x^859 - 57*x^860 - 68*x^861 - 49*x^862 - 21*x^863 - 58*x^864 - 
       24*x^865 - 4*x^866 - 12*x^867 + 7*x^868 + 4*x^869 - 40*x^870 - 
       8*x^871 + 12*x^872 + 4*x^874 - 4*x^875 + 12*x^878 + 4*x^880 + 
       4*x^881 + 4*x^882 + 4*x^884 + 4*x^890));

genfun[21,x_] :=
     -((-1 - 3*x - 6*x^2 - 12*x^3 - 18*x^4 - 30*x^5 - 42*x^6 - 60*x^7 - 
       78*x^8 - 108*x^9 - 144*x^10 - 203*x^11 - 261*x^12 - 333*x^13 - 
       432*x^14 - 570*x^15 - 701*x^16 - 878*x^17 - 1109*x^18 - 1385*x^19 - 
       1704*x^20 - 2168*x^21 - 2659*x^22 - 3271*x^23 - 3946*x^24 - 
       4805*x^25 - 5726*x^26 - 6873*x^27 - 8241*x^28 - 9902*x^29 - 
       11886*x^30 - 14169*x^31 - 16706*x^32 - 19687*x^33 - 23236*x^34 - 
       27509*x^35 - 31907*x^36 - 37239*x^37 - 43289*x^38 - 50549*x^39 - 
       58726*x^40 - 67763*x^41 - 78121*x^42 - 89773*x^43 - 103206*x^44 - 
       117835*x^45 - 134093*x^46 - 152722*x^47 - 174268*x^48 - 198656*x^49 - 
       224881*x^50 - 253835*x^51 - 286355*x^52 - 322856*x^53 - 364157*x^54 - 
       407762*x^55 - 456870*x^56 - 510970*x^57 - 573637*x^58 - 639424*x^59 - 
       711046*x^60 - 789366*x^61 - 877506*x^62 - 972622*x^63 - 1075747*x^64 - 
       1185490*x^65 - 1308537*x^66 - 1444128*x^67 - 1592794*x^68 - 
       1746488*x^69 - 1914207*x^70 - 2094935*x^71 - 2295596*x^72 - 
       2506536*x^73 - 2734661*x^74 - 2975098*x^75 - 3244183*x^76 - 
       3530765*x^77 - 3836690*x^78 - 4150442*x^79 - 4492102*x^80 - 
       4859379*x^81 - 5255874*x^82 - 5664542*x^83 - 6098785*x^84 - 
       6563130*x^85 - 7069993*x^86 - 7600394*x^87 - 8151717*x^88 - 
       8714538*x^89 - 9327833*x^90 - 9970495*x^91 - 10652763*x^92 - 
       11342552*x^93 - 12082142*x^94 - 12866728*x^95 - 13703725*x^96 - 
       14550047*x^97 - 15418049*x^98 - 16303970*x^99 - 17255907*x^100 - 
       18244510*x^101 - 19259020*x^102 - 20282042*x^103 - 21389446*x^104 - 
       22530835*x^105 - 23732267*x^106 - 24899423*x^107 - 26092499*x^108 - 
       27297784*x^109 - 28594009*x^110 - 29889399*x^111 - 31221309*x^112 - 
       32564419*x^113 - 33998389*x^114 - 35441593*x^115 - 36888455*x^116 - 
       38269030*x^117 - 39676182*x^118 - 41096095*x^119 - 42594340*x^120 - 
       44032309*x^121 - 45535333*x^122 - 46988999*x^123 - 48515389*x^124 - 
       49945106*x^125 - 51367422*x^126 - 52664116*x^127 - 53964869*x^128 - 
       55208460*x^129 - 56476597*x^130 - 57658769*x^131 - 58867834*x^132 - 
       59956871*x^133 - 60968282*x^134 - 61826697*x^135 - 62599523*x^136 - 
       63203640*x^137 - 63712390*x^138 - 64103137*x^139 - 64509251*x^140 - 
       64759857*x^141 - 64955420*x^142 - 64826376*x^143 - 64616898*x^144 - 
       64131023*x^145 - 63652094*x^146 - 62804213*x^147 - 61831502*x^148 - 
       60787096*x^149 - 59707794*x^150 - 58492812*x^151 - 56970963*x^152 - 
       55163989*x^153 - 53213809*x^154 - 51003950*x^155 - 48864307*x^156 - 
       46136142*x^157 - 43580498*x^158 - 40845304*x^159 - 38268176*x^160 - 
       35156117*x^161 - 31859095*x^162 - 28195423*x^163 - 24478723*x^164 - 
       20720387*x^165 - 16800934*x^166 - 12493625*x^167 - 8384625*x^168 - 
       4325772*x^169 - 224840*x^170 + 4597043*x^171 + 9477868*x^172 + 
       14638423*x^173 + 19587217*x^174 + 24540785*x^175 + 29647466*x^176 + 
       35093447*x^177 + 39828625*x^178 + 44679847*x^179 + 49665791*x^180 + 
       55531306*x^181 + 61031691*x^182 + 66325010*x^183 + 71398542*x^184 + 
       75983214*x^185 + 81105064*x^186 + 85534544*x^187 + 90005337*x^188 + 
       94056840*x^189 + 98552692*x^190 + 103573099*x^191 + 107170913*x^192 + 
       110730417*x^193 + 113185260*x^194 + 116157039*x^195 + 
       118681612*x^196 + 120865073*x^197 + 123119961*x^198 + 
       124021859*x^199 + 126778060*x^200 + 127541806*x^201 + 
       128243833*x^202 + 127333754*x^203 + 126823965*x^204 + 
       126792465*x^205 + 125884486*x^206 + 125209785*x^207 + 
       122848505*x^208 + 120747737*x^209 + 119263918*x^210 + 
       116804507*x^211 + 113526393*x^212 + 109544175*x^213 + 
       107022593*x^214 + 104211823*x^215 + 101005972*x^216 + 96787852*x^217 + 
       91331972*x^218 + 87476993*x^219 + 83738715*x^220 + 80080657*x^221 + 
       76009759*x^222 + 72101522*x^223 + 69230890*x^224 + 65005712*x^225 + 
       60605899*x^226 + 56876581*x^227 + 52677586*x^228 + 50707708*x^229 + 
       47932408*x^230 + 46128470*x^231 + 44474782*x^232 + 42920856*x^233 + 
       42485619*x^234 + 37807469*x^235 + 37111037*x^236 + 35307736*x^237 + 
       37774069*x^238 + 38726615*x^239 + 39455525*x^240 + 41878955*x^241 + 
       41483745*x^242 + 44599479*x^243 + 43020961*x^244 + 43549877*x^245 + 
       45950436*x^246 + 49654932*x^247 + 58087381*x^248 + 60185677*x^249 + 
       65766889*x^250 + 67062170*x^251 + 68966733*x^252 + 73646951*x^253 + 
       75471582*x^254 + 85778159*x^255 + 91453823*x^256 + 102211664*x^257 + 
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       7449918547*x^538 - 8065297670*x^539 - 8374610066*x^540 - 
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       8238436056*x^544 - 8138679351*x^545 - 7904165384*x^546 - 
       7352803230*x^547 - 6551209490*x^548 - 5697978363*x^549 - 
       4567849700*x^550 - 3271934602*x^551 - 1821161721*x^552 - 
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       1114457516*x^577 - 2049131435*x^578 - 2910182132*x^579 - 
       3850389418*x^580 - 4615926829*x^581 - 5688513098*x^582 - 
       6626345811*x^583 - 7691989440*x^584 - 8481707130*x^585 - 
       8902508549*x^586 - 9236882030*x^587 - 9131484560*x^588 - 
       8970925261*x^589 - 8393479991*x^590 - 7790957393*x^591 - 
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       4566265618*x^595 - 3822424129*x^596 - 3026415412*x^597 - 
       2266197173*x^598 - 1437143225*x^599 - 480462588*x^600 + 
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       5452550676*x^616 + 5241112180*x^617 + 4827129786*x^618 + 
       4314663164*x^619 + 3671970285*x^620 + 2840456519*x^621 + 
       1983831458*x^622 + 987904215*x^623 + 218098136*x^624 - 
       547640501*x^625 - 1130148583*x^626 - 1585762927*x^627 - 
       1949878901*x^628 - 2170412433*x^629 - 2516380051*x^630 - 
       2746114546*x^631 - 3061951201*x^632 - 3333679041*x^633 - 
       3604065976*x^634 - 3999098672*x^635 - 4238207426*x^636 - 
       4506611205*x^637 - 4499555439*x^638 - 4465594614*x^639 - 
       4277830094*x^640 - 3955152126*x^641 - 3632714536*x^642 - 
       3235317587*x^643 - 2966448089*x^644 - 2641618699*x^645 - 
       2430974808*x^646 - 2273567266*x^647 - 2099650206*x^648 - 
       1955191923*x^649 - 1606029619*x^650 - 1310332322*x^651 - 
       842926126*x^652 - 402616428*x^653 + 167172078*x^654 + 
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       2965974370*x^673 + 2441000631*x^674 + 1945410136*x^675 + 
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       992973692*x^682 - 1422083995*x^683 - 1860055709*x^684 - 
       2272235927*x^685 - 2726019147*x^686 - 3099111595*x^687 - 
       3457209005*x^688 - 3666410763*x^689 - 3767831026*x^690 - 
       3754394151*x^691 - 3654565010*x^692 - 3475397227*x^693 - 
       3221938089*x^694 - 2976739143*x^695 - 2732188790*x^696 - 
       2514972438*x^697 - 2252808726*x^698 - 1932157614*x^699 - 
       1554020805*x^700 - 1146990509*x^701 - 747456327*x^702 - 
       323304486*x^703 + 113772840*x^704 + 566354212*x^705 + 
       1018843768*x^706 + 1443275099*x^707 + 1808838988*x^708 + 
       2088223102*x^709 + 2294547117*x^710 + 2405288170*x^711 + 
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       2477022425*x^715 + 2462674309*x^716 + 2434801837*x^717 + 
       2341159321*x^718 + 2191256735*x^719 + 1970228562*x^720 + 
       1737552867*x^721 + 1490386566*x^722 + 1223996416*x^723 + 
       930521931*x^724 + 601270797*x^725 + 281601394*x^726 - 35672040*x^727 - 
       295353361*x^728 - 529359826*x^729 - 719364677*x^730 - 
       868073405*x^731 - 1005134652*x^732 - 1117201615*x^733 - 
       1242348452*x^734 - 1353632502*x^735 - 1460036456*x^736 - 
       1537747938*x^737 - 1567826467*x^738 - 1547135840*x^739 - 
       1489688244*x^740 - 1416300038*x^741 - 1333655124*x^742 - 
       1232300210*x^743 - 1097623008*x^744 - 931991733*x^745 - 
       766003000*x^746 - 607087355*x^747 - 470469545*x^748 - 
       335321078*x^749 - 215149923*x^750 - 95899700*x^751 + 17817099*x^752 + 
       143236487*x^753 + 271711785*x^754 + 408424257*x^755 + 
       527374084*x^756 + 626077875*x^757 + 699716003*x^758 + 
       742045168*x^759 + 772961206*x^760 + 790790055*x^761 + 
       805517111*x^762 + 802684818*x^763 + 772937157*x^764 + 
       726335111*x^765 + 672131436*x^766 + 627697091*x^767 + 
       582638593*x^768 + 532157422*x^769 + 475413275*x^770 + 
       409771292*x^771 + 343039812*x^772 + 258372070*x^773 + 
       171006323*x^774 + 72284139*x^775 - 10672147*x^776 - 83844205*x^777 - 
       146288746*x^778 - 199574840*x^779 - 249474550*x^780 - 
       294742968*x^781 - 335755788*x^782 - 366399060*x^783 - 
       381941866*x^784 - 388652671*x^785 - 390404500*x^786 - 
       396659631*x^787 - 398305669*x^788 - 392029474*x^789 - 
       373097866*x^790 - 349306345*x^791 - 319725091*x^792 - 
       281390630*x^793 - 235156936*x^794 - 185103307*x^795 - 
       140669315*x^796 - 102266020*x^797 - 65928805*x^798 - 27739357*x^799 + 
       9915565*x^800 + 46382032*x^801 + 79247601*x^802 + 107567530*x^803 + 
       130268844*x^804 + 147585419*x^805 + 163976092*x^806 + 
       180718046*x^807 + 194657012*x^808 + 201507009*x^809 + 
       199268528*x^810 + 194798911*x^811 + 186551885*x^812 + 
       175095477*x^813 + 156666643*x^814 + 137293954*x^815 + 
       118794141*x^816 + 104008461*x^817 + 87568878*x^818 + 68160531*x^819 + 
       47047852*x^820 + 27750248*x^821 + 9421082*x^822 - 7188032*x^823 - 
       22341106*x^824 - 35052645*x^825 - 47503194*x^826 - 59694550*x^827 - 
       70503284*x^828 - 77054085*x^829 - 79555075*x^830 - 80041614*x^831 - 
       80579792*x^832 - 78788724*x^833 - 74160316*x^834 - 67946389*x^835 - 
       62486456*x^836 - 58298046*x^837 - 52467119*x^838 - 44883524*x^839 - 
       35633157*x^840 - 27760537*x^841 - 20128216*x^842 - 12667860*x^843 - 
       5513051*x^844 + 1013763*x^845 + 6922870*x^846 + 12832403*x^847 + 
       18190126*x^848 + 21834522*x^849 + 23981064*x^850 + 25058165*x^851 + 
       26810505*x^852 + 27316899*x^853 + 26944454*x^854 + 25381088*x^855 + 
       24462686*x^856 + 23589753*x^857 + 22218617*x^858 + 19635202*x^859 + 
       16600423*x^860 + 13867027*x^861 + 11486517*x^862 + 8857947*x^863 + 
       6143931*x^864 + 3663130*x^865 + 1495847*x^866 - 611306*x^867 - 
       2531601*x^868 - 4141577*x^869 - 5050517*x^870 - 5963468*x^871 - 
       6765553*x^872 - 7427013*x^873 - 7548687*x^874 - 7369122*x^875 - 
       7415980*x^876 - 7306839*x^877 - 7196391*x^878 - 6427741*x^879 - 
       5688048*x^880 - 4923487*x^881 - 4300916*x^882 - 3617337*x^883 - 
       2749473*x^884 - 2096637*x^885 - 1422437*x^886 - 836224*x^887 - 
       326776*x^888 + 227259*x^889 + 514858*x^890 + 996175*x^891 + 
       1237046*x^892 + 1536383*x^893 + 1562314*x^894 + 1613707*x^895 + 
       1721542*x^896 + 1766216*x^897 + 1769556*x^898 + 1614457*x^899 + 
       1471680*x^900 + 1339410*x^901 + 1176952*x^902 + 1034177*x^903 + 
       823485*x^904 + 717262*x^905 + 561224*x^906 + 422976*x^907 + 
       296390*x^908 + 174532*x^909 + 74988*x^910 - 67000*x^911 - 
       159058*x^912 - 214818*x^913 - 207036*x^914 - 235732*x^915 - 
       290818*x^916 - 338554*x^917 - 318718*x^918 - 301954*x^919 - 
       285828*x^920 - 283122*x^921 - 251244*x^922 - 207402*x^923 - 
       177732*x^924 - 171568*x^925 - 158892*x^926 - 129960*x^927 - 
       89280*x^928 - 76992*x^929 - 47094*x^930 - 24114*x^931 + 9492*x^932 + 
       7722*x^933 - 114*x^934 + 6900*x^935 + 26538*x^936 + 46962*x^937 + 
       36324*x^938 + 32472*x^939 + 35262*x^940 + 40782*x^941 + 39282*x^942 + 
       23682*x^943 + 22884*x^944 + 25902*x^945 + 30636*x^946 + 24732*x^947 + 
       13584*x^948 + 13680*x^949 + 9666*x^950 + 7152*x^951 - 246*x^952 + 
       2202*x^953 + 5820*x^954 + 4854*x^955 + 66*x^956 - 5136*x^957 - 
       3000*x^958 - 1248*x^959 - 1908*x^960 - 3666*x^961 - 3990*x^962 - 
       972*x^963 - 1512*x^964 - 2880*x^965 - 4056*x^966 - 2658*x^967 - 
       894*x^968 - 1110*x^969 - 1146*x^970 - 948*x^971 + 96*x^972 - 
       360*x^973 - 1086*x^974 - 1068*x^975 - 384*x^976 + 366*x^977 + 
       240*x^978 + 48*x^979 - 24*x^980 + 174*x^981 + 96*x^982 - 174*x^983 + 
       42*x^984 + 294*x^985 + 342*x^986 + 138*x^987 - 24*x^988 + 24*x^989 + 
       48*x^990 + 78*x^991 - 12*x^992 + 60*x^993 + 90*x^994 + 78*x^995 + 
       30*x^996 + 6*x^997 + 6*x^1002 + 24*x^1003)/(1 - x^11 - 3*x^13 - 
       3*x^14 - 3*x^15 - 4*x^16 - 4*x^17 - 7*x^18 - 4*x^19 - 6*x^20 - 
       10*x^21 - 17*x^22 - 20*x^23 - 20*x^24 - 25*x^25 - 31*x^26 - 36*x^27 - 
       39*x^28 - 43*x^29 - 57*x^30 - 72*x^31 - 88*x^32 - 95*x^33 - 113*x^34 - 
       130*x^35 - 157*x^36 - 162*x^37 - 181*x^38 - 208*x^39 - 254*x^40 - 
       295*x^41 - 338*x^42 - 371*x^43 - 423*x^44 - 482*x^45 - 535*x^46 - 
       569*x^47 - 635*x^48 - 727*x^49 - 836*x^50 - 943*x^51 - 1042*x^52 - 
       1120*x^53 - 1285*x^54 - 1411*x^55 - 1527*x^56 - 1643*x^57 - 
       1808*x^58 - 2036*x^59 - 2276*x^60 - 2490*x^61 - 2694*x^62 - 
       2936*x^63 - 3269*x^64 - 3533*x^65 - 3768*x^66 - 3990*x^67 - 
       4430*x^68 - 4864*x^69 - 5325*x^70 - 5716*x^71 - 6124*x^72 - 
       6630*x^73 - 7213*x^74 - 7589*x^75 - 8012*x^76 - 8599*x^77 - 
       9349*x^78 - 10105*x^79 - 10799*x^80 - 11376*x^81 - 12156*x^82 - 
       12898*x^83 - 13739*x^84 - 14349*x^85 - 15188*x^86 - 16000*x^87 - 
       17223*x^88 - 18195*x^89 - 19090*x^90 - 20057*x^91 - 21108*x^92 - 
       22174*x^93 - 23206*x^94 - 24140*x^95 - 25307*x^96 - 26578*x^97 - 
       27973*x^98 - 29035*x^99 - 30342*x^100 - 31586*x^101 - 32798*x^102 - 
       34024*x^103 - 35306*x^104 - 36395*x^105 - 37834*x^106 - 39193*x^107 - 
       40522*x^108 - 41546*x^109 - 43217*x^110 - 44208*x^111 - 45099*x^112 - 
       46598*x^113 - 47429*x^114 - 48512*x^115 - 49603*x^116 - 50237*x^117 - 
       51171*x^118 - 52094*x^119 - 53378*x^120 - 52721*x^121 - 53732*x^122 - 
       54325*x^123 - 54608*x^124 - 54478*x^125 - 54222*x^126 - 54170*x^127 - 
       53965*x^128 - 54333*x^129 - 53150*x^130 - 51655*x^131 - 52301*x^132 - 
       51208*x^133 - 49990*x^134 - 47721*x^135 - 46420*x^136 - 44682*x^137 - 
       43706*x^138 - 41867*x^139 - 38518*x^140 - 36705*x^141 - 36427*x^142 - 
       33135*x^143 - 29487*x^144 - 25090*x^145 - 22552*x^146 - 20299*x^147 - 
       17065*x^148 - 14555*x^149 - 9681*x^150 - 7323*x^151 - 4518*x^152 + 
       949*x^153 + 6274*x^154 + 13130*x^155 + 13489*x^156 + 17961*x^157 + 
       20729*x^158 + 24829*x^159 + 30647*x^160 + 33944*x^161 + 41611*x^162 + 
       43822*x^163 + 54271*x^164 + 54506*x^165 + 55702*x^166 + 60683*x^167 + 
       63282*x^168 + 70458*x^169 + 74948*x^170 + 81889*x^171 + 83165*x^172 + 
       87188*x^173 + 94157*x^174 + 88834*x^175 + 91204*x^176 + 94609*x^177 + 
       101144*x^178 + 105587*x^179 + 108094*x^180 + 108110*x^181 + 
       102489*x^182 + 108493*x^183 + 106179*x^184 + 102261*x^185 + 
       103319*x^186 + 105379*x^187 + 106482*x^188 + 103896*x^189 + 
       101660*x^190 + 94871*x^191 + 87418*x^192 + 89991*x^193 + 85095*x^194 + 
       80976*x^195 + 80822*x^196 + 76579*x^197 + 73158*x^198 + 57985*x^199 + 
       61895*x^200 + 53093*x^201 + 51032*x^202 + 50362*x^203 + 41781*x^204 + 
       46062*x^205 + 37826*x^206 + 42267*x^207 + 27454*x^208 + 18097*x^209 + 
       26345*x^210 + 20044*x^211 + 35433*x^212 + 23574*x^213 + 28051*x^214 + 
       23900*x^215 + 19538*x^216 + 29828*x^217 + 6838*x^218 + 23413*x^219 + 
       19224*x^220 + 31973*x^221 + 42722*x^222 + 23878*x^223 + 40340*x^224 + 
       11656*x^225 + 19607*x^226 + 19970*x^227 + 23888*x^228 + 57728*x^229 + 
       29144*x^230 + 53374*x^231 + 22202*x^232 + 31638*x^233 + 26049*x^234 + 
       4918*x^235 + 37057*x^236 + 29549*x^237 + 73538*x^238 + 67639*x^239 + 
       43900*x^240 + 50449*x^241 + 18570*x^242 + 57237*x^243 + 56222*x^244 + 
       91567*x^245 + 125607*x^246 + 100215*x^247 + 134462*x^248 + 
       90275*x^249 + 140270*x^250 + 138532*x^251 + 148275*x^252 + 
       200836*x^253 + 223098*x^254 + 283585*x^255 + 253024*x^256 + 
       220552*x^257 + 245224*x^258 + 238035*x^259 + 338464*x^260 + 
       327272*x^261 + 350540*x^262 + 359134*x^263 + 334867*x^264 + 
       356795*x^265 + 279441*x^266 + 331665*x^267 + 327785*x^268 + 
       326098*x^269 + 362175*x^270 + 294280*x^271 + 328177*x^272 + 
       199962*x^273 + 193810*x^274 + 165696*x^275 + 136964*x^276 + 
       252849*x^277 + 151342*x^278 + 142331*x^279 + 46351*x^280 + 
       42277*x^281 + 51773*x^282 - 42067*x^283 + 60466*x^284 - 13484*x^285 + 
       40389*x^286 + 64813*x^287 + 12813*x^288 + 64576*x^289 - 29373*x^290 + 
       84634*x^291 + 53093*x^292 + 139541*x^293 + 239472*x^294 + 
       184032*x^295 + 189205*x^296 + 146129*x^297 + 212048*x^298 + 
       270064*x^299 + 215662*x^300 + 286198*x^301 + 170893*x^302 + 
       250560*x^303 + 252995*x^304 + 146791*x^305 + 99271*x^306 - 
       40274*x^307 - 16439*x^308 - 109735*x^309 - 207101*x^310 - 
       161772*x^311 - 356853*x^312 - 352066*x^313 - 522716*x^314 - 
       558436*x^315 - 544502*x^316 - 672383*x^317 - 605542*x^318 - 
       780291*x^319 - 619005*x^320 - 550326*x^321 - 539481*x^322 - 
       510171*x^323 - 579488*x^324 - 321016*x^325 - 162543*x^326 + 
       4714*x^327 + 303639*x^328 + 300879*x^329 + 616631*x^330 + 
       571730*x^331 + 818991*x^332 + 976245*x^333 + 1141214*x^334 + 
       1418452*x^335 + 1371292*x^336 + 1616370*x^337 + 1699961*x^338 + 
       1617522*x^339 + 1526807*x^340 + 1240417*x^341 + 1412426*x^342 + 
       1334691*x^343 + 1243426*x^344 + 982044*x^345 + 514055*x^346 + 
       299139*x^347 - 210636*x^348 - 439678*x^349 - 683863*x^350 - 
       893437*x^351 - 1035956*x^352 - 1620120*x^353 - 1919842*x^354 - 
       2246966*x^355 - 2453028*x^356 - 2632571*x^357 - 2998841*x^358 - 
       2635152*x^359 - 2562472*x^360 - 2359577*x^361 - 2419383*x^362 - 
       2671098*x^363 - 2253125*x^364 - 1938784*x^365 - 1276528*x^366 - 
       822539*x^367 - 420297*x^368 + 241483*x^369 + 171012*x^370 + 
       746817*x^371 + 1061464*x^372 + 1829693*x^373 + 2419079*x^374 + 
       2669051*x^375 + 3294127*x^376 + 3382230*x^377 + 3795260*x^378 + 
       3498887*x^379 + 3134796*x^380 + 3450236*x^381 + 3422545*x^382 + 
       3814636*x^383 + 3229673*x^384 + 2734649*x^385 + 2157605*x^386 + 
       1275635*x^387 + 1143106*x^388 + 355727*x^389 + 326527*x^390 - 
       311656*x^391 - 1179502*x^392 - 1856586*x^393 - 2720830*x^394 - 
       2991705*x^395 - 3787757*x^396 - 4230869*x^397 - 4091261*x^398 - 
       4158963*x^399 - 3745032*x^400 - 4477633*x^401 - 4692574*x^402 - 
       4757906*x^403 - 4366765*x^404 - 3470084*x^405 - 3125572*x^406 - 
       2166237*x^407 - 1879320*x^408 - 1452215*x^409 - 775898*x^410 - 
       288583*x^411 + 1149025*x^412 + 1652474*x^413 + 2551304*x^414 + 
       3333821*x^415 + 3830928*x^416 + 4583028*x^417 + 4033613*x^418 + 
       4374957*x^419 + 4521093*x^420 + 5175192*x^421 + 5758713*x^422 + 
       5258206*x^423 + 5011367*x^424 + 3979518*x^425 + 3473014*x^426 + 
       2843449*x^427 + 2047241*x^428 + 1872635*x^429 + 475270*x^430 - 
       148983*x^431 - 1509458*x^432 - 2292482*x^433 - 3194834*x^434 - 
       4511056*x^435 - 4663901*x^436 - 5231505*x^437 - 5098792*x^438 - 
       5570453*x^439 - 6561940*x^440 - 6780415*x^441 - 7279494*x^442 - 
       6400112*x^443 - 6067815*x^444 - 5156396*x^445 - 4181712*x^446 - 
       3651743*x^447 - 2445004*x^448 - 1782720*x^449 - 160455*x^450 + 
       883238*x^451 + 1934691*x^452 + 3498806*x^453 + 4469139*x^454 + 
       5845847*x^455 + 6015962*x^456 + 6579739*x^457 + 7306970*x^458 + 
       8090102*x^459 + 9390704*x^460 + 9059198*x^461 + 9070072*x^462 + 
       8254911*x^463 + 7631834*x^464 + 6675754*x^465 + 5452809*x^466 + 
       4507750*x^467 + 2820096*x^468 + 1421354*x^469 + 6083*x^470 - 
       1539989*x^471 - 2871765*x^472 - 5062280*x^473 - 6177683*x^474 - 
       7593098*x^475 - 8071611*x^476 - 9268927*x^477 - 11011306*x^478 - 
       12051868*x^479 - 12746086*x^480 - 12244749*x^481 - 11936568*x^482 - 
       11336044*x^483 - 10486906*x^484 - 9573466*x^485 - 8003644*x^486 - 
       6497728*x^487 - 4452489*x^488 - 2816337*x^489 - 1301498*x^490 + 
       635927*x^491 + 2702009*x^492 + 5179131*x^493 + 6611022*x^494 + 
       8139562*x^495 + 9618135*x^496 + 11724590*x^497 + 14194758*x^498 + 
       15028433*x^499 + 15274104*x^500 + 15032531*x^501 + 14821729*x^502 + 
       14715692*x^503 + 13974367*x^504 + 13311295*x^505 + 11301952*x^506 + 
       9716979*x^507 + 7874987*x^508 + 6294221*x^509 + 4713481*x^510 + 
       2291435*x^511 - 241346*x^512 - 2800942*x^513 - 4474834*x^514 - 
       6327718*x^515 - 9262374*x^516 - 11789216*x^517 - 14493421*x^518 - 
       15019984*x^519 - 15571122*x^520 - 15881600*x^521 - 16218790*x^522 - 
       17171920*x^523 - 16605634*x^524 - 16380410*x^525 - 14537328*x^526 - 
       13451664*x^527 - 12499352*x^528 - 11080059*x^529 - 9855404*x^530 - 
       6916094*x^531 - 4708864*x^532 - 2441156*x^533 - 597708*x^534 + 
       1720846*x^535 + 5450153*x^536 + 7790329*x^537 + 10408786*x^538 + 
       10965680*x^539 + 12018044*x^540 + 13293183*x^541 + 14490910*x^542 + 
       16411386*x^543 + 16288806*x^544 + 16534095*x^545 + 15723557*x^546 + 
       15480327*x^547 + 15859319*x^548 + 14834256*x^549 + 14017010*x^550 + 
       11429014*x^551 + 10041279*x^552 + 8559086*x^553 + 6645975*x^554 + 
       4294788*x^555 + 940382*x^556 - 1060545*x^557 - 3045606*x^558 - 
       3968536*x^559 - 5295877*x^560 - 7577815*x^561 - 9552190*x^562 - 
       11624352*x^563 - 12349091*x^564 - 12834293*x^565 - 13503076*x^566 - 
       14208745*x^567 - 15662531*x^568 - 15301566*x^569 - 14729370*x^570 - 
       13639308*x^571 - 12934980*x^572 - 12489040*x^573 - 10953546*x^574 - 
       9157213*x^575 - 6924346*x^576 - 5336872*x^577 - 4540873*x^578 - 
       3226129*x^579 - 1869461*x^580 + 758428*x^581 + 2974622*x^582 + 
       4579263*x^583 + 5871789*x^584 + 6468195*x^585 + 8334008*x^586 + 
       9793088*x^587 + 11420912*x^588 + 11817841*x^589 + 11553362*x^590 + 
       11996405*x^591 + 11835937*x^592 + 12303259*x^593 + 11478545*x^594 + 
       10492153*x^595 + 9545002*x^596 + 8742046*x^597 + 8832413*x^598 + 
       7621484*x^599 + 6456264*x^600 + 4276044*x^601 + 2543166*x^602 + 
       1593979*x^603 + 464701*x^604 - 350631*x^605 - 2437939*x^606 - 
       4073338*x^607 - 5326046*x^608 - 6008907*x^609 - 6188556*x^610 - 
       7217156*x^611 - 7683950*x^612 - 8514384*x^613 - 8333140*x^614 - 
       8115137*x^615 - 8086071*x^616 - 8247241*x^617 - 8554767*x^618 - 
       7926005*x^619 - 7100850*x^620 - 5799695*x^621 - 5019251*x^622 - 
       4649568*x^623 - 4100834*x^624 - 3178771*x^625 - 1707068*x^626 - 
       546833*x^627 + 230798*x^628 + 605127*x^629 + 1078462*x^630 + 
       1926232*x^631 + 2806495*x^632 + 3417888*x^633 + 3577930*x^634 + 
       3829694*x^635 + 4211024*x^636 + 4902801*x^637 + 5183886*x^638 + 
       5072844*x^639 + 4624382*x^640 + 4221030*x^641 + 4299100*x^642 + 
       4343165*x^643 + 4269938*x^644 + 3636241*x^645 + 2968281*x^646 + 
       2511061*x^647 + 2318865*x^648 + 2343612*x^649 + 1923661*x^650 + 
       1440347*x^651 + 728695*x^652 + 505833*x^653 + 336051*x^654 + 
       48789*x^655 - 417037*x^656 - 1061332*x^657 - 1278742*x^658 - 
       1340797*x^659 - 1228370*x^660 - 1411866*x^661 - 1867055*x^662 - 
       2170590*x^663 - 2288329*x^664 - 2101063*x^665 - 2036788*x^666 - 
       2142534*x^667 - 2438679*x^668 - 2649916*x^669 - 2505106*x^670 - 
       2314721*x^671 - 2113369*x^672 - 2189713*x^673 - 2201238*x^674 - 
       2091490*x^675 - 1746898*x^676 - 1411493*x^677 - 1312610*x^678 - 
       1307116*x^679 - 1213145*x^680 - 855405*x^681 - 405781*x^682 - 
       54302*x^683 + 88427*x^684 + 185264*x^685 + 431661*x^686 + 
       831442*x^687 + 1280033*x^688 + 1517178*x^689 + 1614190*x^690 + 
       1647783*x^691 + 1835789*x^692 + 2082934*x^693 + 2268207*x^694 + 
       2289426*x^695 + 2166302*x^696 + 2112390*x^697 + 2143446*x^698 + 
       2216070*x^699 + 2095107*x^700 + 1819040*x^701 + 1507971*x^702 + 
       1283997*x^703 + 1171689*x^704 + 997307*x^705 + 687917*x^706 + 
       267556*x^707 - 89002*x^708 - 297244*x^709 - 466491*x^710 - 
       641725*x^711 - 953198*x^712 - 1240080*x^713 - 1472822*x^714 - 
       1542767*x^715 - 1591420*x^716 - 1678705*x^717 - 1798894*x^718 - 
       1885793*x^719 - 1832457*x^720 - 1688382*x^721 - 1529598*x^722 - 
       1451464*x^723 - 1384773*x^724 - 1245066*x^725 - 1011694*x^726 - 
       719214*x^727 - 510953*x^728 - 359831*x^729 - 221992*x^730 - 
       21115*x^731 + 242733*x^732 + 475522*x^733 + 649238*x^734 + 
       729006*x^735 + 832412*x^736 + 950058*x^737 + 1081147*x^738 + 
       1151231*x^739 + 1151025*x^740 + 1098515*x^741 + 1051983*x^742 + 
       1049621*x^743 + 1026039*x^744 + 944550*x^745 + 816382*x^746 + 
       664061*x^747 + 561920*x^748 + 483134*x^749 + 391365*x^750 + 
       242387*x^751 + 77604*x^752 - 65615*x^753 - 158772*x^754 - 
       227007*x^755 - 306685*x^756 - 406200*x^757 - 493433*x^758 - 
       540829*x^759 - 554227*x^760 - 549246*x^761 - 553589*x^762 - 
       569187*x^763 - 570828*x^764 - 534827*x^765 - 476667*x^766 - 
       418952*x^767 - 375337*x^768 - 345229*x^769 - 292484*x^770 - 
       210104*x^771 - 125832*x^772 - 58948*x^773 - 20351*x^774 + 
       22344*x^775 + 68227*x^776 + 128872*x^777 + 172642*x^778 + 
       196928*x^779 + 206668*x^780 + 217242*x^781 + 231792*x^782 + 
       245208*x^783 + 249472*x^784 + 239761*x^785 + 216955*x^786 + 
       201360*x^787 + 187741*x^788 + 176389*x^789 + 151771*x^790 + 
       116056*x^791 + 80521*x^792 + 56171*x^793 + 42391*x^794 + 25528*x^795 - 
       49*x^796 - 25925*x^797 - 44942*x^798 - 52997*x^799 - 58258*x^800 - 
       67324*x^801 - 77979*x^802 - 86461*x^803 - 86655*x^804 - 85292*x^805 - 
       79576*x^806 - 76232*x^807 - 73970*x^808 - 68703*x^809 - 59831*x^810 - 
       46984*x^811 - 35705*x^812 - 28374*x^813 - 23815*x^814 - 19579*x^815 - 
       7788*x^816 + 693*x^817 + 7617*x^818 + 9066*x^819 + 11498*x^820 + 
       15754*x^821 + 21466*x^822 + 25076*x^823 + 24196*x^824 + 23739*x^825 + 
       23667*x^826 + 23275*x^827 + 23219*x^828 + 21000*x^829 + 18259*x^830 + 
       14481*x^831 + 12371*x^832 + 10131*x^833 + 9205*x^834 + 7834*x^835 + 
       4352*x^836 + 1698*x^837 + 113*x^838 - 175*x^839 - 1104*x^840 - 
       2507*x^841 - 4871*x^842 - 5859*x^843 - 5284*x^844 - 5019*x^845 - 
       5509*x^846 - 5798*x^847 - 5656*x^848 - 5130*x^849 - 4176*x^850 - 
       3377*x^851 - 3474*x^852 - 2799*x^853 - 2681*x^854 - 2099*x^855 - 
       1553*x^856 - 726*x^857 - 701*x^858 - 505*x^859 - 166*x^860 + 
       227*x^861 + 810*x^862 + 1065*x^863 + 810*x^864 + 692*x^865 + 
       925*x^866 + 1163*x^867 + 996*x^868 + 977*x^869 + 656*x^870 + 
       578*x^871 + 727*x^872 + 660*x^873 + 519*x^874 + 411*x^875 + 
       379*x^876 + 192*x^877 + 279*x^878 + 202*x^879 + 78*x^880 - 17*x^881 - 
       67*x^882 - 138*x^883 - 69*x^884 - 103*x^886 - 173*x^887 - 113*x^888 - 
       132*x^889 - 58*x^890 - 73*x^891 - 95*x^892 - 128*x^893 - 52*x^894 - 
       61*x^895 - 61*x^896 - 41*x^897 - 57*x^898 - 46*x^899 - 12*x^900 - 
       4*x^902 + 7*x^903 - 28*x^905 + 4*x^906 + 12*x^907 + 4*x^908 + 
       8*x^909 + 4*x^911 + 4*x^912 + 12*x^913 + 4*x^915 + 4*x^916 + 4*x^917 + 
       4*x^918 + 4*x^919 + 4*x^925));

genfun[22,x_] :=
     (-1 - 3*x - 6*x^2 - 12*x^3 - 18*x^4 - 30*x^5 - 42*x^6 - 60*x^7 - 
      78*x^8 - 108*x^9 - 144*x^10 - 204*x^11 - 264*x^12 - 339*x^13 - 
      444*x^14 - 588*x^15 - 731*x^16 - 920*x^17 - 1169*x^18 - 1463*x^19 - 
      1812*x^20 - 2312*x^21 - 2866*x^22 - 3544*x^23 - 4303*x^24 - 5285*x^25 - 
      6368*x^26 - 7694*x^27 - 9287*x^28 - 11251*x^29 - 13583*x^30 - 
      16305*x^31 - 19450*x^32 - 23162*x^33 - 27563*x^34 - 32813*x^35 - 
      38496*x^36 - 45335*x^37 - 53122*x^38 - 62532*x^39 - 73409*x^40 - 
      85670*x^41 - 99804*x^42 - 116134*x^43 - 134510*x^44 - 155344*x^45 - 
      178886*x^46 - 205817*x^47 - 236901*x^48 - 272445*x^49 - 312163*x^50 - 
      356706*x^51 - 407028*x^52 - 464045*x^53 - 528536*x^54 - 598689*x^55 - 
      677830*x^56 - 767396*x^57 - 868846*x^58 - 980275*x^59 - 1103641*x^60 - 
      1240457*x^61 - 1395490*x^62 - 1564371*x^63 - 1750248*x^64 - 
      1953395*x^65 - 2180442*x^66 - 2432083*x^67 - 2710516*x^68 - 
      3011482*x^69 - 3343520*x^70 - 3707236*x^71 - 4107165*x^72 - 
      4539012*x^73 - 5009071*x^74 - 5518997*x^75 - 6086523*x^76 - 
      6698493*x^77 - 7365267*x^78 - 8078287*x^79 - 8863232*x^80 - 
      9705939*x^81 - 10622141*x^82 - 11591050*x^83 - 12645756*x^84 - 
      13776059*x^85 - 15006060*x^86 - 16325305*x^87 - 17741906*x^88 - 
      19249202*x^89 - 20878805*x^90 - 22609687*x^91 - 24454571*x^92 - 
      26401996*x^93 - 28485787*x^94 - 30714543*x^95 - 33111142*x^96 - 
      35615969*x^97 - 38306515*x^98 - 41122653*x^99 - 44143779*x^100 - 
      47298198*x^101 - 50644173*x^102 - 54109431*x^103 - 57829527*x^104 - 
      61712626*x^105 - 65854727*x^106 - 70142246*x^107 - 74657136*x^108 - 
      79393218*x^109 - 84381403*x^110 - 89513465*x^111 - 94895941*x^112 - 
      100463689*x^113 - 106326818*x^114 - 112409541*x^115 - 118760376*x^116 - 
      125264069*x^117 - 132136502*x^118 - 139117471*x^119 - 146451550*x^120 - 
      153870580*x^121 - 161649763*x^122 - 169534013*x^123 - 177796046*x^124 - 
      186090632*x^125 - 194753023*x^126 - 203475820*x^127 - 212536783*x^128 - 
      221641730*x^129 - 231002628*x^130 - 240399362*x^131 - 250131223*x^132 - 
      259814176*x^133 - 269648481*x^134 - 279434119*x^135 - 289372375*x^136 - 
      299224628*x^137 - 309237025*x^138 - 318976723*x^139 - 329039354*x^140 - 
      338769221*x^141 - 348715007*x^142 - 358080580*x^143 - 367557711*x^144 - 
      376292948*x^145 - 385320390*x^146 - 393557278*x^147 - 401830103*x^148 - 
      409448722*x^149 - 417163238*x^150 - 424309976*x^151 - 431166795*x^152 - 
      436904358*x^153 - 442229007*x^154 - 446618999*x^155 - 450775915*x^156 - 
      453753041*x^157 - 456478893*x^158 - 458188699*x^159 - 459900762*x^160 - 
      459886617*x^161 - 459845283*x^162 - 457542795*x^163 - 455062896*x^164 - 
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      10775541*x^1117 - 14544522*x^1118 - 17381342*x^1119 - 20088484*x^1120 - 
      21770986*x^1121 - 23146108*x^1122 - 23367248*x^1123 - 23306422*x^1124 - 
      22538512*x^1125 - 21488038*x^1126 - 20136716*x^1127 - 18501622*x^1128 - 
      16541428*x^1129 - 14371563*x^1130 - 11964484*x^1131 - 9309203*x^1132 - 
      6817235*x^1133 - 4263867*x^1134 - 2041530*x^1135 + 138547*x^1136 + 
      1910885*x^1137 + 3875039*x^1138 + 5264553*x^1139 + 6810457*x^1140 + 
      7796286*x^1141 + 8666292*x^1142 + 9030245*x^1143 + 9271081*x^1144 + 
      9185192*x^1145 + 9011728*x^1146 + 8719191*x^1147 + 8214909*x^1148 + 
      7626766*x^1149 + 6831482*x^1150 + 5971992*x^1151 + 4927136*x^1152 + 
      4026345*x^1153 + 2905364*x^1154 + 2106546*x^1155 + 1150886*x^1156 + 
      408678*x^1157 - 417418*x^1158 - 1088239*x^1159 - 1778750*x^1160 - 
      2308425*x^1161 - 2714246*x^1162 - 3018289*x^1163 - 3170028*x^1164 - 
      3270965*x^1165 - 3298251*x^1166 - 3298775*x^1167 - 3197711*x^1168 - 
      3067326*x^1169 - 2820971*x^1170 - 2550851*x^1171 - 2220364*x^1172 - 
      1894593*x^1173 - 1516454*x^1174 - 1224323*x^1175 - 868703*x^1176 - 
      588706*x^1177 - 295603*x^1178 + 2219*x^1179 + 253046*x^1180 + 
      505308*x^1181 + 666635*x^1182 + 836988*x^1183 + 907792*x^1184 + 
      995980*x^1185 + 1040985*x^1186 + 1070803*x^1187 + 1088200*x^1188 + 
      1065469*x^1189 + 1014921*x^1190 + 940655*x^1191 + 854802*x^1192 + 
      747025*x^1193 + 654311*x^1194 + 537723*x^1195 + 437077*x^1196 + 
      337074*x^1197 + 246241*x^1198 + 139181*x^1199 + 56937*x^1200 - 
      43026*x^1201 - 105026*x^1202 - 171062*x^1203 - 207627*x^1204 - 
      247227*x^1205 - 275417*x^1206 - 291756*x^1207 - 317602*x^1208 - 
      313568*x^1209 - 315643*x^1210 - 297527*x^1211 - 279224*x^1212 - 
      253671*x^1213 - 231419*x^1214 - 195353*x^1215 - 171458*x^1216 - 
      138401*x^1217 - 114540*x^1218 - 84098*x^1219 - 59249*x^1220 - 
      27632*x^1221 - 4717*x^1222 + 15131*x^1223 + 33090*x^1224 + 
      44291*x^1225 + 57047*x^1226 + 64525*x^1227 + 75392*x^1228 + 
      76325*x^1229 + 82065*x^1230 + 78990*x^1231 + 76492*x^1232 + 
      73965*x^1233 + 65752*x^1234 + 60982*x^1235 + 52753*x^1236 + 
      45105*x^1237 + 39382*x^1238 + 32359*x^1239 + 26619*x^1240 + 
      18264*x^1241 + 11575*x^1242 + 5036*x^1243 - 361*x^1244 - 3539*x^1245 - 
      7568*x^1246 - 10447*x^1247 - 13039*x^1248 - 14620*x^1249 - 
      16446*x^1250 - 16985*x^1251 - 17044*x^1252 - 17651*x^1253 - 
      14977*x^1254 - 15800*x^1255 - 12475*x^1256 - 11987*x^1257 - 
      10119*x^1258 - 9193*x^1259 - 8427*x^1260 - 6448*x^1261 - 5257*x^1262 - 
      2690*x^1263 - 2276*x^1264 - 668*x^1265 - 246*x^1266 + 783*x^1267 + 
      1192*x^1268 + 1905*x^1269 + 2097*x^1270 + 2710*x^1271 + 2866*x^1272 + 
      3153*x^1273 + 2779*x^1274 + 2999*x^1275 + 2267*x^1276 + 2468*x^1277 + 
      1860*x^1278 + 2000*x^1279 + 1884*x^1280 + 1525*x^1281 + 1519*x^1282 + 
      750*x^1283 + 905*x^1284 + 247*x^1285 + 493*x^1286 + 150*x^1287 + 
      141*x^1288 - 87*x^1289 - 60*x^1290 - 225*x^1291 - 275*x^1292 - 
      347*x^1293 - 410*x^1294 - 339*x^1295 - 303*x^1296 - 302*x^1297 - 
      240*x^1298 - 325*x^1299 - 263*x^1300 - 221*x^1301 - 280*x^1302 - 
      160*x^1303 - 178*x^1304 - 37*x^1305 - 128*x^1306 - 57*x^1307 - 
      84*x^1308 - 22*x^1309 - 28*x^1310 - 14*x^1311 - 9*x^1312 + 2*x^1313 + 
      36*x^1314 + 16*x^1315 + 22*x^1316 - 2*x^1317 + 18*x^1318 + 30*x^1319 + 
      18*x^1320 + 14*x^1321 + 24*x^1322 + 18*x^1323 + 16*x^1324 + 4*x^1325 + 
      12*x^1326 + 6*x^1327 + 12*x^1328 + 4*x^1329 + 4*x^1330 + 4*x^1331 + 
      4*x^1332 + 4*x^1333 + 4*x^1337);

genfun[23,x_] :=
     -((-1 - 3*x - 6*x^2 - 12*x^3 - 18*x^4 - 30*x^5 - 42*x^6 - 60*x^7 - 
       78*x^8 - 108*x^9 - 144*x^10 - 204*x^11 - 264*x^12 - 339*x^13 - 
       444*x^14 - 588*x^15 - 731*x^16 - 920*x^17 - 1169*x^18 - 1463*x^19 - 
       1812*x^20 - 2312*x^21 - 2866*x^22 - 3549*x^23 - 4318*x^24 - 
       5315*x^25 - 6428*x^26 - 7784*x^27 - 9437*x^28 - 11461*x^29 - 
       13883*x^30 - 16695*x^31 - 19990*x^32 - 23882*x^33 - 28583*x^34 - 
       34133*x^35 - 40193*x^36 - 47565*x^37 - 56088*x^38 - 66241*x^39 - 
       78109*x^40 - 91689*x^41 - 107405*x^42 - 125644*x^43 - 146744*x^44 - 
       170678*x^45 - 197417*x^46 - 228304*x^47 - 264522*x^48 - 305811*x^49 - 
       352482*x^50 - 405526*x^51 - 466446*x^52 - 535706*x^53 - 614476*x^54 - 
       701251*x^55 - 799796*x^56 - 912058*x^57 - 1040244*x^58 - 
       1181975*x^59 - 1341744*x^60 - 1520207*x^61 - 1725287*x^62 - 
       1951424*x^63 - 2204256*x^64 - 2482442*x^65 - 2795178*x^66 - 
       3143845*x^67 - 3534067*x^68 - 3958850*x^69 - 4435058*x^70 - 
       4965458*x^71 - 5556813*x^72 - 6202143*x^73 - 6912764*x^74 - 
       7694003*x^75 - 8565805*x^76 - 9522498*x^77 - 10569409*x^78 - 
       11709948*x^79 - 12980641*x^80 - 14372767*x^81 - 15907270*x^82 - 
       17554614*x^83 - 19366685*x^84 - 21345395*x^85 - 23514583*x^86 - 
       25864887*x^87 - 28415562*x^88 - 31180866*x^89 - 34222336*x^90 - 
       37516100*x^91 - 41073497*x^92 - 44907913*x^93 - 49070389*x^94 - 
       53593275*x^95 - 58468391*x^96 - 63685993*x^97 - 69331413*x^98 - 
       75421565*x^99 - 82026802*x^100 - 89087289*x^101 - 96691000*x^102 - 
       104810597*x^103 - 113621092*x^104 - 123011069*x^105 - 
       133054894*x^106 - 143715836*x^107 - 155184605*x^108 - 
       167449323*x^109 - 180601998*x^110 - 194543064*x^111 - 
       209428172*x^112 - 225305521*x^113 - 242234771*x^114 - 
       260164589*x^115 - 279122776*x^116 - 299212184*x^117 - 
       320717974*x^118 - 343390471*x^119 - 367475982*x^120 - 
       392838118*x^121 - 419816251*x^122 - 448329965*x^123 - 
       478551075*x^124 - 510185171*x^125 - 543537353*x^126 - 
       578718955*x^127 - 615815977*x^128 - 654753423*x^129 - 
       695621551*x^130 - 738532463*x^131 - 783844002*x^132 - 
       831403685*x^133 - 881079777*x^134 - 932974723*x^135 - 
       987213008*x^136 - 1043945604*x^137 - 1103222430*x^138 - 
       1164772013*x^139 - 1229365653*x^140 - 1296706948*x^141 - 
       1367087311*x^142 - 1440163983*x^143 - 1516156250*x^144 - 
       1594827618*x^145 - 1677057949*x^146 - 1762078726*x^147 - 
       1850355288*x^148 - 1941446253*x^149 - 2036466657*x^150 - 
       2134468350*x^151 - 2236402357*x^152 - 2340868623*x^153 - 
       2449648499*x^154 - 2561458143*x^155 - 2677456030*x^156 - 
       2796156347*x^157 - 2918940382*x^158 - 3044887364*x^159 - 
       3175140477*x^160 - 3308296289*x^161 - 3445474797*x^162 - 
       3586054716*x^163 - 3731823179*x^164 - 3880423223*x^165 - 
       4033889575*x^166 - 4189439655*x^167 - 4350095326*x^168 - 
       4513674046*x^169 - 4681734799*x^170 - 4851634096*x^171 - 
       5025672785*x^172 - 5203809510*x^173 - 5386420812*x^174 - 
       5572451384*x^175 - 5761459780*x^176 - 5954608940*x^177 - 
       6150176271*x^178 - 6349374566*x^179 - 6549413134*x^180 - 
       6752682176*x^181 - 6958243268*x^182 - 7168233556*x^183 - 
       7379874443*x^184 - 7594692911*x^185 - 7812072668*x^186 - 
       8031605511*x^187 - 8253726782*x^188 - 8474697917*x^189 - 
       8697233316*x^190 - 8918582095*x^191 - 9143469143*x^192 - 
       9368544715*x^193 - 9594019957*x^194 - 9818971073*x^195 - 
       10046085225*x^196 - 10270144408*x^197 - 10492687920*x^198 - 
       10711844056*x^199 - 10929066889*x^200 - 11141522063*x^201 - 
       11354511346*x^202 - 11559515207*x^203 - 11767161988*x^204 - 
       11965004514*x^205 - 12163911182*x^206 - 12346258790*x^207 - 
       12528677781*x^208 - 12695574212*x^209 - 12863846955*x^210 - 
       13017520582*x^211 - 13167925302*x^212 - 13300903074*x^213 - 
       13430409564*x^214 - 13548537907*x^215 - 13653590195*x^216 - 
       13740210108*x^217 - 13809672187*x^218 - 13868008992*x^219 - 
       13906781208*x^220 - 13930184495*x^221 - 13936341203*x^222 - 
       13924586565*x^223 - 13898512064*x^224 - 13853768410*x^225 - 
       13790158484*x^226 - 13689537878*x^227 - 13569275400*x^228 - 
       13417645670*x^229 - 13243952505*x^230 - 13048933338*x^231 - 
       12826987740*x^232 - 12581753115*x^233 - 12307336048*x^234 - 
       12011704112*x^235 - 11679054030*x^236 - 11305535910*x^237 - 
       10898637455*x^238 - 10447537994*x^239 - 9982967182*x^240 - 
       9474204501*x^241 - 8937566960*x^242 - 8350746691*x^243 - 
       7726574345*x^244 - 7082607414*x^245 - 6407088353*x^246 - 
       5677274111*x^247 - 4895659217*x^248 - 4086207168*x^249 - 
       3208856894*x^250 - 2325286022*x^251 - 1378470926*x^252 - 
       411861639*x^253 + 599699637*x^254 + 1623532817*x^255 + 
       2710594267*x^256 + 3827080240*x^257 + 5037710786*x^258 + 
       6269682866*x^259 + 7554813871*x^260 + 8844554109*x^261 + 
       10162455362*x^262 + 11509029935*x^263 + 12932798930*x^264 + 
       14378098912*x^265 + 15906137083*x^266 + 17455805338*x^267 + 
       19070804696*x^268 + 20727117048*x^269 + 22441781447*x^270 + 
       24124267206*x^271 + 25882789887*x^272 + 27720273703*x^273 + 
       29637210437*x^274 + 31635936986*x^275 + 33640156020*x^276 + 
       35656858211*x^277 + 37744688510*x^278 + 39975277368*x^279 + 
       42257593623*x^280 + 44616388669*x^281 + 46990521699*x^282 + 
       49473410555*x^283 + 52029798555*x^284 + 54692238141*x^285 + 
       57391941866*x^286 + 60095655816*x^287 + 62906288119*x^288 + 
       65860986042*x^289 + 68936670380*x^290 + 71959813205*x^291 + 
       75183788823*x^292 + 78223150890*x^293 + 81549524486*x^294 + 
       84798067841*x^295 + 88305426908*x^296 + 91661940247*x^297 + 
       95141695008*x^298 + 98555109664*x^299 + 102147326368*x^300 + 
       105670896468*x^301 + 109223767309*x^302 + 112804351813*x^303 + 
       116363773104*x^304 + 120052708378*x^305 + 123849549422*x^306 + 
       127383582045*x^307 + 131081194767*x^308 + 134663254416*x^309 + 
       138423889482*x^310 + 142015971227*x^311 + 145754362987*x^312 + 
       149313956326*x^313 + 153223063884*x^314 + 156882266728*x^315 + 
       160794786143*x^316 + 164353669959*x^317 + 168173133912*x^318 + 
       172098230719*x^319 + 176123669210*x^320 + 180166560307*x^321 + 
       184108824686*x^322 + 188178470126*x^323 + 192130306363*x^324 + 
       196226347516*x^325 + 200267586508*x^326 + 204332499236*x^327 + 
       208684415146*x^328 + 212966284632*x^329 + 217548165472*x^330 + 
       221649585590*x^331 + 226039187540*x^332 + 229805496390*x^333 + 
       233995583968*x^334 + 237995664798*x^335 + 242129960479*x^336 + 
       245914516801*x^337 + 249811228696*x^338 + 253190175523*x^339 + 
       256447639610*x^340 + 259516988929*x^341 + 262576864312*x^342 + 
       265686540375*x^343 + 268430929844*x^344 + 271513152658*x^345 + 
       273336767072*x^346 + 274916642278*x^347 + 276176175363*x^348 + 
       277359188335*x^349 + 278543608755*x^350 + 279932034641*x^351 + 
       281534680743*x^352 + 282237257911*x^353 + 283531877998*x^354 + 
       283954353690*x^355 + 284188142404*x^356 + 283322627954*x^357 + 
       284295879515*x^358 + 285233067808*x^359 + 286742111428*x^360 + 
       288016018719*x^361 + 288275313929*x^362 + 288119757763*x^363 + 
       289316543588*x^364 + 290889563076*x^365 + 292711391104*x^366 + 
       294607081219*x^367 + 296950429263*x^368 + 299798790985*x^369 + 
       301965848363*x^370 + 302982470535*x^371 + 305567651005*x^372 + 
       305491786779*x^373 + 308787767694*x^374 + 310832108982*x^375 + 
       313892018735*x^376 + 314422425106*x^377 + 315387565948*x^378 + 
       314239624021*x^379 + 314127014555*x^380 + 313678560647*x^381 + 
       311956107992*x^382 + 308812687770*x^383 + 303372713839*x^384 + 
       298759489372*x^385 + 291168596097*x^386 + 282457156367*x^387 + 
       272411430748*x^388 + 263155794145*x^389 + 252430448931*x^390 + 
       241122508465*x^391 + 226249448256*x^392 + 208672148373*x^393 + 
       191542184096*x^394 + 174173646312*x^395 + 156352948764*x^396 + 
       136530679137*x^397 + 118132589169*x^398 + 97878226625*x^399 + 
       78693763623*x^400 + 61079726614*x^401 + 40353747398*x^402 + 
       24551943433*x^403 + 7546601463*x^404 - 4143535605*x^405 - 
       16582696846*x^406 - 26116827414*x^407 - 38188160737*x^408 - 
       45950881264*x^409 - 53455245852*x^410 - 51718313156*x^411 - 
       48755838622*x^412 - 43570159401*x^413 - 36048772706*x^414 - 
       27032185593*x^415 - 17868961605*x^416 - 4994018225*x^417 + 
       8696606910*x^418 + 20923693741*x^419 + 36277266361*x^420 + 
       49492403456*x^421 + 66898453637*x^422 + 78186293328*x^423 + 
       85997569984*x^424 + 91575582017*x^425 + 86722691112*x^426 + 
       90671082925*x^427 + 87680431274*x^428 + 76916837794*x^429 + 
       54707616730*x^430 + 23607854554*x^431 - 16768890708*x^432 - 
       61515723628*x^433 - 112093574922*x^434 - 172002640213*x^435 - 
       237662370083*x^436 - 313271757967*x^437 - 390261984645*x^438 - 
       476864195413*x^439 - 571200283046*x^440 - 674645707742*x^441 - 
       780705561730*x^442 - 887313220425*x^443 - 980833068030*x^444 - 
       1081281044502*x^445 - 1185799998753*x^446 - 1291794315214*x^447 - 
       1390764565478*x^448 - 1460920824477*x^449 - 1540977511195*x^450 - 
       1592572810149*x^451 - 1646493985320*x^452 - 1675862727486*x^453 - 
       1699252449171*x^454 - 1710766332213*x^455 - 1718855719784*x^456 - 
       1698788632819*x^457 - 1664493274151*x^458 - 1599075959092*x^459 - 
       1532073913861*x^460 - 1439825371026*x^461 - 1355325431009*x^462 - 
       1247787531662*x^463 - 1148406185947*x^464 - 1020816645081*x^465 - 
       900784528082*x^466 - 779251860546*x^467 - 656567162480*x^468 - 
       541304892020*x^469 - 428717619654*x^470 - 335501985751*x^471 - 
       269877862096*x^472 - 192916319986*x^473 - 132588430516*x^474 - 
       65835846291*x^475 - 60638261307*x^476 - 75591129977*x^477 - 
       124246510610*x^478 - 196006598053*x^479 - 266739220195*x^480 - 
       384434431133*x^481 - 524098294853*x^482 - 680919198078*x^483 - 
       877131665270*x^484 - 1087637514186*x^485 - 1316589938985*x^486 - 
       1571815894705*x^487 - 1827639811784*x^488 - 2103301713151*x^489 - 
       2375898441806*x^490 - 2661239345153*x^491 - 2965428284828*x^492 - 
       3311941060004*x^493 - 3612994748820*x^494 - 3927843728288*x^495 - 
       4205683327039*x^496 - 4436603352072*x^497 - 4679055026530*x^498 - 
       4883377843851*x^499 - 5085520126573*x^500 - 5289141979287*x^501 - 
       5432664756438*x^502 - 5559419106129*x^503 - 5581398411828*x^504 - 
       5602074904997*x^505 - 5569444677122*x^506 - 5465775721047*x^507 - 
       5327117645250*x^508 - 5125462115219*x^509 - 4886213418745*x^510 - 
       4560020017316*x^511 - 4167806904478*x^512 - 3671432318921*x^513 - 
       3127294520853*x^514 - 2541129092999*x^515 - 1934776981214*x^516 - 
       1311137408056*x^517 - 632090556056*x^518 + 131575093122*x^519 + 
       910767200266*x^520 + 1782739397633*x^521 + 2551997603291*x^522 + 
       3377755236702*x^523 + 4122729735859*x^524 + 4848451483982*x^525 + 
       5442472892908*x^526 + 5938505765695*x^527 + 6370836182535*x^528 + 
       6677728154999*x^529 + 6826229962610*x^530 + 6811736164645*x^531 + 
       6525295530341*x^532 + 6125104469884*x^533 + 5437575737245*x^534 + 
       4597779763320*x^535 + 3515666077827*x^536 + 2230925967360*x^537 + 
       708991683437*x^538 - 1082642875237*x^539 - 3092812948748*x^540 - 
       5322329788510*x^541 - 7691066503844*x^542 - 10143913097003*x^543 - 
       12634375546254*x^544 - 15117671422306*x^545 - 17576119069294*x^546 - 
       19938231520517*x^547 - 22178027944914*x^548 - 24167671915567*x^549 - 
       25798274023799*x^550 - 27327370630673*x^551 - 28226964323133*x^552 - 
       28820765133730*x^553 - 28729780456620*x^554 - 28130151444623*x^555 - 
       26966942561781*x^556 - 25163931340600*x^557 - 22638247235785*x^558 - 
       19437410363964*x^559 - 15462060823827*x^560 - 10976325076107*x^561 - 
       5911772532070*x^562 - 464034424077*x^563 + 5451989056940*x^564 + 
       11597470276223*x^565 + 18083399619945*x^566 + 24541276229983*x^567 + 
       30871903310119*x^568 + 37107956154195*x^569 + 42925994644227*x^570 + 
       48387092241622*x^571 + 52957795799302*x^572 + 56724917205615*x^573 + 
       59528993369329*x^574 + 61117818759118*x^575 + 61516903163180*x^576 + 
       60419917026127*x^577 + 57775602554772*x^578 + 53731193947457*x^579 + 
       47987447144822*x^580 + 40913693386583*x^581 + 32325785060713*x^582 + 
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       4765533693906*x^1311 - 6560163495267*x^1312 - 8197816194006*x^1313 - 
       9666593575348*x^1314 - 10858429587788*x^1315 - 11897464052582*x^1316 - 
       12587488225344*x^1317 - 13084805978293*x^1318 - 
       13288674272728*x^1319 - 13189829038145*x^1320 - 
       12889841586838*x^1321 - 12292061478248*x^1322 - 
       11487189326605*x^1323 - 10452615786331*x^1324 - 9240958277095*x^1325 - 
       7862172399673*x^1326 - 6378980069399*x^1327 - 4761150667045*x^1328 - 
       3112194680752*x^1329 - 1434156448333*x^1330 + 245214744972*x^1331 + 
       1866827153139*x^1332 + 3419908961255*x^1333 + 4888856306842*x^1334 + 
       6184276084727*x^1335 + 7362823872361*x^1336 + 8361011642750*x^1337 + 
       9139913232653*x^1338 + 9786467582264*x^1339 + 10146936729761*x^1340 + 
       10365514264919*x^1341 + 10352582380229*x^1342 + 
       10129770553792*x^1343 + 9738534269141*x^1344 + 9163462031388*x^1345 + 
       8425012263908*x^1346 + 7546660519998*x^1347 + 6556201954313*x^1348 + 
       5447603147028*x^1349 + 4305282410966*x^1350 + 3079866544137*x^1351 + 
       1850427400770*x^1352 + 631476590885*x^1353 - 579476488817*x^1354 - 
       1718040806311*x^1355 - 2788397582706*x^1356 - 3802710863223*x^1357 - 
       4656603429994*x^1358 - 5437001143801*x^1359 - 6068926513678*x^1360 - 
       6552572627236*x^1361 - 6934655377212*x^1362 - 7123364550771*x^1363 - 
       7209090302035*x^1364 - 7142322978591*x^1365 - 6944600231971*x^1366 - 
       6617851397357*x^1367 - 6199136028029*x^1368 - 5654546588197*x^1369 - 
       5042857154343*x^1370 - 4362253073428*x^1371 - 3604534329504*x^1372 - 
       2844640902086*x^1373 - 2039482604514*x^1374 - 1233753564364*x^1375 - 
       451720759080*x^1376 + 327800603297*x^1377 + 1047388010396*x^1378 + 
       1717031527216*x^1379 + 2356473708888*x^1380 + 2878304476965*x^1381 + 
       3362583878372*x^1382 + 3742547245504*x^1383 + 4040075106031*x^1384 + 
       4263133882845*x^1385 + 4381060000142*x^1386 + 4421945158657*x^1387 + 
       4381880307395*x^1388 + 4263510179487*x^1389 + 4059285368681*x^1390 + 
       3816811733757*x^1391 + 3486625645219*x^1392 + 3132590930563*x^1393 + 
       2735982281976*x^1394 + 2292764439310*x^1395 + 1853475948533*x^1396 + 
       1392839025611*x^1397 + 925232430541*x^1398 + 480986720456*x^1399 + 
       29375047120*x^1400 - 380665105211*x^1401 - 764976228957*x^1402 - 
       1132595554975*x^1403 - 1434218094974*x^1404 - 1716017611024*x^1405 - 
       1938565072945*x^1406 - 2121307019283*x^1407 - 2254984101452*x^1408 - 
       2344249206171*x^1409 - 2376872198228*x^1410 - 2378339888726*x^1411 - 
       2332848839478*x^1412 - 2240073728305*x^1413 - 2131641373178*x^1414 - 
       1971651277059*x^1415 - 1803601148912*x^1416 - 1611257876955*x^1417 - 
       1390688657053*x^1418 - 1172469130044*x^1419 - 943706774304*x^1420 - 
       705429103324*x^1421 - 482127179804*x^1422 - 248054655521*x^1423 - 
       37299028803*x^1424 + 164249814277*x^1425 + 357089780149*x^1426 + 
       523146862653*x^1427 + 675739845659*x^1428 + 804243929101*x^1429 + 
       912816396735*x^1430 + 996313311916*x^1431 + 1064816158744*x^1432 + 
       1097402141076*x^1433 + 1122961018568*x^1434 + 1122527184485*x^1435 + 
       1099444666719*x^1436 + 1069309272960*x^1437 + 1013210953820*x^1438 + 
       951990302459*x^1439 + 878928925687*x^1440 + 788733895217*x^1441 + 
       698561944828*x^1442 + 602185169424*x^1443 + 498364348773*x^1444 + 
       399973261463*x^1445 + 293726375226*x^1446 + 196228975291*x^1447 + 
       101456398810*x^1448 + 8665086792*x^1449 - 76576106613*x^1450 - 
       153450817071*x^1451 - 224467303192*x^1452 - 285379600293*x^1453 - 
       337324672101*x^1454 - 385091323274*x^1455 - 414133908079*x^1456 - 
       443672205225*x^1457 - 461063112400*x^1458 - 467925033206*x^1459 - 
       471997584971*x^1460 - 463721176569*x^1461 - 451663346965*x^1462 - 
       434311041415*x^1463 - 408002581147*x^1464 - 379296630251*x^1465 - 
       347844699245*x^1466 - 311038420915*x^1467 - 274632323620*x^1468 - 
       233849306242*x^1469 - 194058706946*x^1470 - 155177105149*x^1471 - 
       114457199934*x^1472 - 75145174364*x^1473 - 39080816982*x^1474 - 
       3322424389*x^1475 + 28756129031*x^1476 + 58661458827*x^1477 + 
       88130131696*x^1478 + 109128339730*x^1479 + 131949767598*x^1480 + 
       149743939854*x^1481 + 163026753646*x^1482 + 175263117277*x^1483 + 
       182026247423*x^1484 + 186384480798*x^1485 + 188692675543*x^1486 + 
       187071120841*x^1487 + 182049600328*x^1488 + 176974960500*x^1489 + 
       167639155768*x^1490 + 158071468152*x^1491 + 145540056190*x^1492 + 
       132284961528*x^1493 + 118761029335*x^1494 + 103176018714*x^1495 + 
       87361359901*x^1496 + 71928406899*x^1497 + 56075285617*x^1498 + 
       40470715761*x^1499 + 25437558817*x^1500 + 9483385210*x^1501 - 
       2726514312*x^1502 - 16643860622*x^1503 - 28430594661*x^1504 - 
       38833717603*x^1505 - 48634808489*x^1506 - 56540940412*x^1507 - 
       62862696481*x^1508 - 68938777462*x^1509 - 73072035071*x^1510 - 
       74785365793*x^1511 - 77219042204*x^1512 - 76782185501*x^1513 - 
       76473344963*x^1514 - 73926122961*x^1515 - 71178315679*x^1516 - 
       67367682729*x^1517 - 62814646558*x^1518 - 57289770769*x^1519 - 
       51698881305*x^1520 - 45534352395*x^1521 - 38917844255*x^1522 - 
       32524505594*x^1523 - 25059728868*x^1524 - 19312410991*x^1525 - 
       12267185367*x^1526 - 6251314710*x^1527 - 266882036*x^1528 + 
       5252041552*x^1529 + 10452796588*x^1530 + 14579209327*x^1531 + 
       19184130502*x^1532 + 22594682575*x^1533 + 24954386167*x^1534 + 
       27771409930*x^1535 + 29189090694*x^1536 + 30653815694*x^1537 + 
       30875707346*x^1538 + 31171149843*x^1539 + 30505740790*x^1540 + 
       29917458397*x^1541 + 28259171262*x^1542 + 26818866195*x^1543 + 
       24705072857*x^1544 + 22519671011*x^1545 + 20220698220*x^1546 + 
       17317569673*x^1547 + 15068405417*x^1548 + 12115919854*x^1549 + 
       9616625299*x^1550 + 6840030113*x^1551 + 4396174949*x^1552 + 
       1764720195*x^1553 - 154764993*x^1554 - 2640629295*x^1555 - 
       4406722467*x^1556 - 5896284259*x^1557 - 7547578213*x^1558 - 
       8699833345*x^1559 - 9747910664*x^1560 - 10367619898*x^1561 - 
       10987509985*x^1562 - 11115560042*x^1563 - 11440748432*x^1564 - 
       11068079696*x^1565 - 10964721577*x^1566 - 10369979868*x^1567 - 
       9919185308*x^1568 - 9220685105*x^1569 - 8344530730*x^1570 - 
       7586240562*x^1571 - 6628606488*x^1572 - 5748326951*x^1573 - 
       4714298593*x^1574 - 3835927908*x^1575 - 2759718233*x^1576 - 
       2092074781*x^1577 - 1014156752*x^1578 - 320140415*x^1579 + 
       374728434*x^1580 + 1080997494*x^1581 + 1682971303*x^1582 + 
       2152404871*x^1583 + 2577033317*x^1584 + 2931444298*x^1585 + 
       3114551544*x^1586 + 3416945289*x^1587 + 3397682829*x^1588 + 
       3535094107*x^1589 + 3433152974*x^1590 + 3442026500*x^1591 + 
       3274619827*x^1592 + 3101815441*x^1593 + 2887612542*x^1594 + 
       2684408145*x^1595 + 2416325229*x^1596 + 2128450415*x^1597 + 
       1869702992*x^1598 + 1530055198*x^1599 + 1358118157*x^1600 + 
       978244187*x^1601 + 763192075*x^1602 + 508632739*x^1603 + 
       281540548*x^1604 + 32349948*x^1605 - 116431123*x^1606 - 
       323198012*x^1607 - 452933541*x^1608 - 550768015*x^1609 - 
       701205352*x^1610 - 740653438*x^1611 - 834793264*x^1612 - 
       844426340*x^1613 - 901351809*x^1614 - 878128451*x^1615 - 
       880601971*x^1616 - 835465999*x^1617 - 829049179*x^1618 - 
       763659714*x^1619 - 718128520*x^1620 - 658917513*x^1621 - 
       586538754*x^1622 - 555936880*x^1623 - 453413472*x^1624 - 
       402100300*x^1625 - 334460157*x^1626 - 279676839*x^1627 - 
       196448198*x^1628 - 167247520*x^1629 - 89047807*x^1630 - 
       60316173*x^1631 - 21098198*x^1632 + 34078484*x^1633 + 
       62004452*x^1634 + 96086756*x^1635 + 112687293*x^1636 + 
       143315105*x^1637 + 147958533*x^1638 + 167996924*x^1639 + 
       162484920*x^1640 + 180182333*x^1641 + 171939901*x^1642 + 
       178344882*x^1643 + 169037648*x^1644 + 164570613*x^1645 + 
       163643414*x^1646 + 146715902*x^1647 + 139446904*x^1648 + 
       129526682*x^1649 + 119269287*x^1650 + 99910260*x^1651 + 
       99942182*x^1652 + 77226379*x^1653 + 75768069*x^1654 + 
       62352167*x^1655 + 47233476*x^1656 + 35986108*x^1657 + 
       28587577*x^1658 + 19607776*x^1659 + 9234624*x^1660 + 4183527*x^1661 - 
       5291045*x^1662 - 6256736*x^1663 - 16729441*x^1664 - 19231409*x^1665 - 
       26735243*x^1666 - 26003033*x^1667 - 30707175*x^1668 - 
       33546169*x^1669 - 34245694*x^1670 - 34780135*x^1671 - 
       35741827*x^1672 - 34502857*x^1673 - 33317874*x^1674 - 
       35733981*x^1675 - 30677563*x^1676 - 32384929*x^1677 - 
       28814657*x^1678 - 26164382*x^1679 - 23011120*x^1680 - 
       22101962*x^1681 - 18686186*x^1682 - 16628242*x^1683 - 
       14359054*x^1684 - 11523963*x^1685 - 10178553*x^1686 - 6265593*x^1687 - 
       4344923*x^1688 - 1409986*x^1689 - 1104346*x^1690 + 1836799*x^1691 + 
       3596109*x^1692 + 5039874*x^1693 + 5705057*x^1694 + 6993515*x^1695 + 
       7227925*x^1696 + 8425493*x^1697 + 9336347*x^1698 + 8589287*x^1699 + 
       9525327*x^1700 + 8969277*x^1701 + 8782925*x^1702 + 8079076*x^1703 + 
       8106635*x^1704 + 7250073*x^1705 + 7221679*x^1706 + 6318777*x^1707 + 
       5611981*x^1708 + 4922843*x^1709 + 3942784*x^1710 + 3268748*x^1711 + 
       2415718*x^1712 + 2131736*x^1713 + 1107264*x^1714 + 485849*x^1715 - 
       39486*x^1716 - 288242*x^1717 - 868083*x^1718 - 1050290*x^1719 - 
       1647500*x^1720 - 1868006*x^1721 - 1905274*x^1722 - 2181642*x^1723 - 
       2187615*x^1724 - 2192536*x^1725 - 2122001*x^1726 - 2180967*x^1727 - 
       2050261*x^1728 - 2124871*x^1729 - 1792663*x^1730 - 1662704*x^1731 - 
       1455091*x^1732 - 1303605*x^1733 - 1084096*x^1734 - 868603*x^1735 - 
       761616*x^1736 - 538930*x^1737 - 360893*x^1738 - 224656*x^1739 - 
       156128*x^1740 + 21079*x^1741 + 70644*x^1742 + 255620*x^1743 + 
       314777*x^1744 + 366494*x^1745 + 397680*x^1746 + 438374*x^1747 + 
       444119*x^1748 + 477580*x^1749 + 476141*x^1750 + 460753*x^1751 + 
       470977*x^1752 + 394408*x^1753 + 380751*x^1754 + 332476*x^1755 + 
       315650*x^1756 + 247982*x^1757 + 212862*x^1758 + 189705*x^1759 + 
       159336*x^1760 + 102171*x^1761 + 80812*x^1762 + 63759*x^1763 + 
       24601*x^1764 + 7886*x^1765 - 33055*x^1766 - 49268*x^1767 - 
       56845*x^1768 - 54456*x^1769 - 76114*x^1770 - 81840*x^1771 - 
       94930*x^1772 - 81505*x^1773 - 82797*x^1774 - 84874*x^1775 - 
       77606*x^1776 - 71149*x^1777 - 61113*x^1778 - 59681*x^1779 - 
       47678*x^1780 - 45584*x^1781 - 40078*x^1782 - 35759*x^1783 - 
       20486*x^1784 - 21398*x^1785 - 16522*x^1786 - 8979*x^1787 - 
       3115*x^1788 + 697*x^1789 + 4542*x^1790 + 4377*x^1791 + 5330*x^1792 + 
       11143*x^1793 + 12905*x^1794 + 13824*x^1795 + 9395*x^1796 + 
       11915*x^1797 + 13093*x^1798 + 13064*x^1799 + 9509*x^1800 + 
       8922*x^1801 + 9305*x^1802 + 8806*x^1803 + 8230*x^1804 + 6792*x^1805 + 
       5777*x^1806 + 3702*x^1807 + 4675*x^1808 + 3492*x^1809 + 1936*x^1810 + 
       1110*x^1811 + 1495*x^1812 + 622*x^1813 + 346*x^1814 - 263*x^1815 - 
       810*x^1816 - 1072*x^1817 - 904*x^1818 - 526*x^1819 - 1196*x^1820 - 
       1428*x^1821 - 1322*x^1822 - 669*x^1823 - 984*x^1824 - 1101*x^1825 - 
       1169*x^1826 - 906*x^1827 - 725*x^1828 - 612*x^1829 - 535*x^1830 - 
       674*x^1831 - 507*x^1832 - 252*x^1833 - 276*x^1834 - 360*x^1835 - 
       244*x^1836 - 76*x^1837 - 64*x^1838 - 72*x^1839 - 44*x^1840 - 
       36*x^1841 - 16*x^1842 + 40*x^1843 + 64*x^1844 + 8*x^1845 + 12*x^1846 + 
       60*x^1847 + 64*x^1848 + 48*x^1849 + 40*x^1850 + 28*x^1851 + 
       36*x^1852 + 36*x^1853 + 44*x^1854 + 32*x^1855 + 16*x^1856 + 
       24*x^1857 + 24*x^1858 + 24*x^1859 + 12*x^1861 + 12*x^1862 + 
       12*x^1863 + 4*x^1864 + 4*x^1865 + 4*x^1866 + 8*x^1868 + 4*x^1872));

genfun[24,x_] :=
     (-1 - 3*x - 6*x^2 - 12*x^3 - 18*x^4 - 30*x^5 - 42*x^6 - 60*x^7 - 
      78*x^8 - 108*x^9 - 144*x^10 - 204*x^11 - 264*x^12 - 339*x^13 - 
      444*x^14 - 588*x^15 - 731*x^16 - 920*x^17 - 1169*x^18 - 1463*x^19 - 
      1812*x^20 - 2312*x^21 - 2866*x^22 - 3549*x^23 - 4323*x^24 - 5330*x^25 - 
      6458*x^26 - 7844*x^27 - 9527*x^28 - 11611*x^29 - 14093*x^30 - 
      16995*x^31 - 20380*x^32 - 24422*x^33 - 29303*x^34 - 35153*x^35 - 
      41513*x^36 - 49260*x^37 - 58310*x^38 - 69191*x^39 - 81789*x^40 - 
      96340*x^41 - 113346*x^42 - 133125*x^43 - 156078*x^44 - 182674*x^45 - 
      212401*x^46 - 247029*x^47 - 286859*x^48 - 333227*x^49 - 385568*x^50 - 
      445632*x^51 - 514939*x^52 - 594697*x^53 - 686128*x^54 - 787301*x^55 - 
      902658*x^56 - 1034804*x^57 - 1186644*x^58 - 1356154*x^59 - 
      1545799*x^60 - 1761590*x^61 - 2009661*x^62 - 2287640*x^63 - 
      2600877*x^64 - 2947546*x^65 - 3341394*x^66 - 3782001*x^67 - 
      4277415*x^68 - 4822201*x^69 - 5433264*x^70 - 6116287*x^71 - 
      6885912*x^72 - 7738144*x^73 - 8682526*x^74 - 9728189*x^75 - 
      10903039*x^76 - 12204496*x^77 - 13641110*x^78 - 15208077*x^79 - 
      16963359*x^80 - 18905013*x^81 - 21068227*x^82 - 23410821*x^83 - 
      26012107*x^84 - 28868370*x^85 - 32050437*x^86 - 35513568*x^87 - 
      39315673*x^88 - 43442424*x^89 - 48019567*x^90 - 53008244*x^91 - 
      58478913*x^92 - 64388930*x^93 - 70887219*x^94 - 77988160*x^95 - 
      85765408*x^96 - 94154014*x^97 - 103273286*x^98 - 113179548*x^99 - 
      124044138*x^100 - 135767093*x^101 - 148481647*x^102 - 162159511*x^103 - 
      177182427*x^104 - 193350264*x^105 - 210946763*x^106 - 229666963*x^107 - 
      250062977*x^108 - 271973498*x^109 - 295851962*x^110 - 321279210*x^111 - 
      348753780*x^112 - 378132104*x^113 - 410002986*x^114 - 444036156*x^115 - 
      480568673*x^116 - 519477141*x^117 - 561487801*x^118 - 606411143*x^119 - 
      654648896*x^120 - 705779684*x^121 - 760626486*x^122 - 819134635*x^123 - 
      881982427*x^124 - 948523289*x^125 - 1019674183*x^126 - 
      1094989450*x^127 - 1176042856*x^128 - 1261585516*x^129 - 
      1352987139*x^130 - 1449004874*x^131 - 1551847565*x^132 - 
      1660516464*x^133 - 1776369511*x^134 - 1898047182*x^135 - 
      2027141394*x^136 - 2163213299*x^137 - 2307659389*x^138 - 
      2459452459*x^139 - 2620028933*x^140 - 2788790712*x^141 - 
      2967754675*x^142 - 3155705122*x^143 - 3353998716*x^144 - 
      3561114099*x^145 - 3779909824*x^146 - 4008766927*x^147 - 
      4250844135*x^148 - 4502948664*x^149 - 4769275043*x^150 - 
      5046326582*x^151 - 5339264228*x^152 - 5642647920*x^153 - 
      5962455982*x^154 - 6293387639*x^155 - 6642138056*x^156 - 
      7003878326*x^157 - 7383517429*x^158 - 7776488180*x^159 - 
      8187043805*x^160 - 8612101634*x^161 - 9056192272*x^162 - 
      9516049479*x^163 - 9996414436*x^164 - 10493127123*x^165 - 
      11011495336*x^166 - 11546054816*x^167 - 12102693877*x^168 - 
      12673492117*x^169 - 13268593812*x^170 - 13879008916*x^171 - 
      14517112411*x^172 - 15171204591*x^173 - 15852807283*x^174 - 
      16548478154*x^175 - 17271128867*x^176 - 18007586659*x^177 - 
      18770917477*x^178 - 19548570526*x^179 - 20351465160*x^180 - 
      21172091996*x^181 - 22016076055*x^182 - 22877098474*x^183 - 
      23758391180*x^184 - 24657957432*x^185 - 25579141595*x^186 - 
      26517639895*x^187 - 27477564082*x^188 - 28450658164*x^189 - 
      29445990983*x^190 - 30449013553*x^191 - 31474629795*x^192 - 
      32501959454*x^193 - 33557620009*x^194 - 34613982704*x^195 - 
      35702683472*x^196 - 36784715075*x^197 - 37886598250*x^198 - 
      38974846647*x^199 - 40078952768*x^200 - 41168638376*x^201 - 
      42272537554*x^202 - 43365314139*x^203 - 44470536039*x^204 - 
      45559252205*x^205 - 46641774403*x^206 - 47706674131*x^207 - 
      48757280206*x^208 - 49785548021*x^209 - 50799868755*x^210 - 
      51783452680*x^211 - 52762930425*x^212 - 53697702997*x^213 - 
      54623104954*x^214 - 55485462120*x^215 - 56331712318*x^216 - 
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      124880411530*x^2484 + 108811180944*x^2485 + 94635443152*x^2486 + 
      80395249259*x^2487 + 64774962037*x^2488 + 48851472287*x^2489 + 
      34912914035*x^2490 + 23053375438*x^2491 + 12222169407*x^2492 + 
      948560422*x^2493 - 10574662978*x^2494 - 20686248700*x^2495 - 
      28047374269*x^2496 - 33802727290*x^2497 - 39507873775*x^2498 - 
      45053731076*x^2499 - 49603645840*x^2500 - 52486491397*x^2501 - 
      53716352278*x^2502 - 54464895474*x^2503 - 55748507187*x^2504 - 
      56583333915*x^2505 - 55716750683*x^2506 - 53507740328*x^2507 - 
      50916842850*x^2508 - 48332477321*x^2509 - 45718427298*x^2510 - 
      42309664087*x^2511 - 37867114417*x^2512 - 33065969308*x^2513 - 
      28706770350*x^2514 - 24602349852*x^2515 - 20314058591*x^2516 - 
      15565877714*x^2517 - 10651378347*x^2518 - 6319958465*x^2519 - 
      2797342625*x^2520 + 482396101*x^2521 + 3875314640*x^2522 + 
      7131419784*x^2523 + 9945194605*x^2524 + 12123058678*x^2525 + 
      13689205382*x^2526 + 15212909793*x^2527 + 16799297896*x^2528 + 
      17870296627*x^2529 + 18191467520*x^2530 + 18095270273*x^2531 + 
      17793694557*x^2532 + 17381254651*x^2533 + 16832705795*x^2534 + 
      15874106367*x^2535 + 14481292172*x^2536 + 13038446940*x^2537 + 
      11699278669*x^2538 + 10334550664*x^2539 + 8809084342*x^2540 + 
      7139026967*x^2541 + 5454608417*x^2542 + 3997850418*x^2543 + 
      2765740896*x^2544 + 1519136299*x^2545 + 245259292*x^2546 - 
      948086645*x^2547 - 1972635470*x^2548 - 2771658662*x^2549 - 
      3402325875*x^2550 - 4066458454*x^2551 - 4677185402*x^2552 - 
      5035661046*x^2553 - 5176057245*x^2554 - 5219146758*x^2555 - 
      5177908147*x^2556 - 5112322627*x^2557 - 4980061082*x^2558 - 
      4691045918*x^2559 - 4278388789*x^2560 - 3897106802*x^2561 - 
      3532214747*x^2562 - 3126822624*x^2563 - 2677712748*x^2564 - 
      2194815118*x^2565 - 1722952109*x^2566 - 1330928193*x^2567 - 
      987459495*x^2568 - 616974316*x^2569 - 246243190*x^2570 + 
      87669423*x^2571 + 370989574*x^2572 + 584606902*x^2573 + 
      771297244*x^2574 + 972493013*x^2575 + 1130727023*x^2576 + 
      1210292074*x^2577 + 1244701284*x^2578 + 1259127342*x^2579 + 
      1251043611*x^2580 + 1244272809*x^2581 + 1211239327*x^2582 + 
      1126866945*x^2583 + 1025456529*x^2584 + 942797375*x^2585 + 
      855780105*x^2586 + 753334258*x^2587 + 645761991*x^2588 + 
      529652226*x^2589 + 419784707*x^2590 + 336967634*x^2591 + 
      256266272*x^2592 + 165580978*x^2593 + 77533674*x^2594 + 
      2358280*x^2595 - 60467776*x^2596 - 106694672*x^2597 - 
      151786235*x^2598 - 198790500*x^2599 - 229240206*x^2600 - 
      242037254*x^2601 - 248704299*x^2602 - 251206997*x^2603 - 
      250944646*x^2604 - 251555088*x^2605 - 243191140*x^2606 - 
      221793548*x^2607 - 202853871*x^2608 - 188620890*x^2609 - 
      169809063*x^2610 - 149166570*x^2611 - 127743474*x^2612 - 
      104125091*x^2613 - 83488566*x^2614 - 70101099*x^2615 - 
      53518906*x^2616 - 34614950*x^2617 - 17674483*x^2618 - 3729911*x^2619 + 
      7703364*x^2620 + 16038714*x^2621 + 24911911*x^2622 + 33557153*x^2623 + 
      38029190*x^2624 + 39239243*x^2625 + 40615880*x^2626 + 41012910*x^2627 + 
      41597431*x^2628 + 42103295*x^2629 + 39916715*x^2630 + 35696064*x^2631 + 
      33259985*x^2632 + 31199120*x^2633 + 27598113*x^2634 + 24429804*x^2635 + 
      20787206*x^2636 + 16670574*x^2637 + 13920921*x^2638 + 12199363*x^2639 + 
      9140683*x^2640 + 5761854*x^2641 + 3227466*x^2642 + 1049940*x^2643 - 
      704782*x^2644 - 1802213*x^2645 - 3267471*x^2646 - 4542799*x^2647 - 
      4965043*x^2648 - 4971147*x^2649 - 5327431*x^2650 - 5411095*x^2651 - 
      5639006*x^2652 - 5772043*x^2653 - 5246769*x^2654 - 4653465*x^2655 - 
      4510562*x^2656 - 4171143*x^2657 - 3652860*x^2658 - 3262791*x^2659 - 
      2741713*x^2660 - 2147056*x^2661 - 1982013*x^2662 - 1760179*x^2663 - 
      1229157*x^2664 - 760361*x^2665 - 468077*x^2666 - 173547*x^2667 + 
      31335*x^2668 + 97826*x^2669 + 330581*x^2670 + 474397*x^2671 + 
      461568*x^2672 + 475334*x^2673 + 551796*x^2674 + 562752*x^2675 + 
      622950*x^2676 + 628706*x^2677 + 538250*x^2678 + 480408*x^2679 + 
      500660*x^2680 + 428881*x^2681 + 390060*x^2682 + 345131*x^2683 + 
      282300*x^2684 + 224872*x^2685 + 239896*x^2686 + 201944*x^2687 + 
      117691*x^2688 + 80187*x^2689 + 49210*x^2690 + 15654*x^2691 + 
      10224*x^2692 + 9322*x^2693 - 25799*x^2694 - 33128*x^2695 - 
      23539*x^2696 - 34268*x^2697 - 44635*x^2698 - 43501*x^2699 - 
      57597*x^2700 - 49857*x^2701 - 42141*x^2702 - 37776*x^2703 - 
      43325*x^2704 - 31784*x^2705 - 32524*x^2706 - 28235*x^2707 - 
      20996*x^2708 - 20569*x^2709 - 23347*x^2710 - 16112*x^2711 - 
      6980*x^2712 - 6395*x^2713 - 3069*x^2714 - 724*x^2715 - 3962*x^2716 - 
      2170*x^2717 + 1644*x^2718 + 352*x^2719 + 327*x^2720 + 1762*x^2721 + 
      2911*x^2722 + 2247*x^2723 + 4458*x^2724 + 2356*x^2725 + 2369*x^2726 + 
      2234*x^2727 + 2469*x^2728 + 1697*x^2729 + 1963*x^2730 + 1720*x^2731 + 
      1069*x^2732 + 1640*x^2733 + 1626*x^2734 + 558*x^2735 + 272*x^2736 + 
      265*x^2737 + 61*x^2738 + 162*x^2739 + 550*x^2740 + 167*x^2741 - 
      114*x^2742 + 218*x^2743 - 64*x^2744 - 30*x^2745 - 147*x^2746 - 
      88*x^2747 - 222*x^2748 - 46*x^2749 - 69*x^2750 - 103*x^2751 - 
      60*x^2752 - 73*x^2753 - 84*x^2754 - 58*x^2755 - 53*x^2756 - 82*x^2757 - 
      65*x^2758 + 20*x^2759 - 10*x^2760 - 2*x^2761 + 6*x^2762 - 37*x^2763 - 
      26*x^2764 - 6*x^2765 + 6*x^2766 - 16*x^2767 + 9*x^2768 - 2*x^2769 + 
      3*x^2770 + 5*x^2771 + 2*x^2772 + x^2773 + 2*x^2775 + x^2776 + x^2777 + 
      3*x^2778 + 2*x^2780 + 2*x^2781 - x^2783 + 2*x^2787);

(*     End of MATHEMATICA program TernarySquareFreeGenFun.m     *)

