(********************************************************** * * * 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 + 14736494*x^242 + 14243842*x^243 + 17117650*x^244 + 22183650*x^245 + 23245182*x^246 + 24010888*x^247 + 19970344*x^248 + 20967110*x^249 + 20170199*x^250 + 19706142*x^251 + 19321217*x^252 + 17357223*x^253 + 19478389*x^254 + 17239872*x^255 + 15930617*x^256 + 10494343*x^257 + 6304304*x^258 + 1397409*x^259 - 2611948*x^260 - 4564348*x^261 - 7380112*x^262 - 11018954*x^263 - 19201777*x^264 - 29885515*x^265 - 32376919*x^266 - 38064496*x^267 - 39287682*x^268 - 49524208*x^269 - 56894562*x^270 - 59301115*x^271 - 63798705*x^272 - 68353308*x^273 - 78438109*x^274 - 82915317*x^275 - 81441661*x^276 - 78299457*x^277 - 78542408*x^278 - 81061586*x^279 - 86376128*x^280 - 85144223*x^281 - 85512955*x^282 - 75832984*x^283 - 69344413*x^284 - 56781698*x^285 - 57393302*x^286 - 50148763*x^287 - 43445192*x^288 - 29684606*x^289 - 25434998*x^290 - 22716627*x^291 - 18027914*x^292 + 4598116*x^293 + 14807812*x^294 + 25771783*x^295 + 8810543*x^296 + 12948681*x^297 + 18631467*x^298 + 29734161*x^299 + 28879836*x^300 + 16806277*x^301 + 13224271*x^302 + 6539616*x^303 - 672355*x^304 - 11554577*x^305 - 28084524*x^306 - 38456608*x^307 - 55271088*x^308 - 64488324*x^309 - 76604652*x^310 - 83335061*x^311 - 95540084*x^312 - 116657545*x^313 - 116053827*x^314 - 114140247*x^315 - 94991993*x^316 - 105356842*x^317 - 110769074*x^318 - 101926142*x^319 - 77432335*x^320 - 40073281*x^321 - 14782350*x^322 + 8335922*x^323 + 46090067*x^324 + 78886432*x^325 + 119031824*x^326 + 145940711*x^327 + 184662172*x^328 + 217897848*x^329 + 249045605*x^330 + 278040538*x^331 + 319575891*x^332 + 336535940*x^333 + 337383950*x^334 + 314878829*x^335 + 318594126*x^336 + 325328899*x^337 + 331504929*x^338 + 277188903*x^339 + 216876272*x^340 + 163819415*x^341 + 126041680*x^342 + 71999547*x^343 - 13653801*x^344 - 84970111*x^345 - 130175832*x^346 - 186795711*x^347 - 238388338*x^348 - 320413992*x^349 - 369733790*x^350 - 411429767*x^351 - 449915949*x^352 - 457512409*x^353 - 463959067*x^354 - 428823362*x^355 - 430963777*x^356 - 417573746*x^357 - 375643897*x^358 - 272410230*x^359 - 174423809*x^360 - 91293252*x^361 - 13707320*x^362 + 103117857*x^363 + 217112239*x^364 + 326943589*x^365 + 370474316*x^366 + 468021834*x^367 + 548463853*x^368 + 670883633*x^369 + 726408664*x^370 + 779663947*x^371 + 818898001*x^372 + 827577540*x^373 + 790573118*x^374 + 741448656*x^375 + 692566687*x^376 + 650702498*x^377 + 528169714*x^378 + 378478440*x^379 + 248187032*x^380 + 135528177*x^381 + 20432912*x^382 - 179105915*x^383 - 355606105*x^384 - 482500543*x^385 - 554985875*x^386 - 683094538*x^387 - 838426836*x^388 - 979087378*x^389 - 1039567146*x^390 - 1103535924*x^391 - 1153973130*x^392 - 1193313984*x^393 - 1107325962*x^394 - 1037415401*x^395 - 921570993*x^396 - 854165504*x^397 - 690128425*x^398 - 502529371*x^399 - 360715528*x^400 - 224919839*x^401 - 67838089*x^402 + 186357292*x^403 + 441455828*x^404 + 582104826*x^405 + 740666089*x^406 + 904405196*x^407 + 1137251451*x^408 + 1303530510*x^409 + 1408588618*x^410 + 1526059261*x^411 + 1606417092*x^412 + 1646959647*x^413 + 1549533408*x^414 + 1466337613*x^415 + 1378648782*x^416 + 1284175352*x^417 + 1128725876*x^418 + 945696192*x^419 + 853288449*x^420 + 730281074*x^421 + 490663461*x^422 + 164211500*x^423 - 181966501*x^424 - 360861864*x^425 - 606795791*x^426 - 855916854*x^427 - 1152932528*x^428 - 1378246309*x^429 - 1532069294*x^430 - 1715694527*x^431 - 1867576679*x^432 - 1894574469*x^433 - 1882264816*x^434 - 1810691046*x^435 - 1830326678*x^436 - 1730314198*x^437 - 1606588333*x^438 - 1489336764*x^439 - 1452959463*x^440 - 1330607605*x^441 - 975129607*x^442 - 523602043*x^443 - 99319312*x^444 + 166339853*x^445 + 449999217*x^446 + 832972076*x^447 + 1165141124*x^448 + 1453678091*x^449 + 1634734081*x^450 + 1837349520*x^451 + 2059020229*x^452 + 2110368906*x^453 + 2244618921*x^454 + 2237620515*x^455 + 2302244306*x^456 + 2207855530*x^457 + 2111521205*x^458 + 2083334074*x^459 + 2042006563*x^460 + 1778258048*x^461 + 1247146490*x^462 + 621471381*x^463 + 202768106*x^464 - 153999564*x^465 - 466011058*x^466 - 963222501*x^467 - 1268538573*x^468 - 1540387152*x^469 - 1692563068*x^470 - 1911116105*x^471 - 2178521550*x^472 - 2357323919*x^473 - 2554352897*x^474 - 2618200579*x^475 - 2592454765*x^476 - 2499451579*x^477 - 2382625682*x^478 - 2381181500*x^479 - 2167470540*x^480 - 1621719553*x^481 - 881475392*x^482 - 199195612*x^483 + 162335633*x^484 + 526436794*x^485 + 902392472*x^486 + 1374112124*x^487 + 1593216285*x^488 + 1734278671*x^489 + 1847079104*x^490 + 2132352690*x^491 + 2474418733*x^492 + 2760057239*x^493 + 2904520973*x^494 + 2918877874*x^495 + 2749051001*x^496 + 2628769837*x^497 + 2436058387*x^498 + 2277327630*x^499 + 1707917435*x^500 + 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 - 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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 + 109114844*x^258 + 114306351*x^259 + 122170181*x^260 + 124556572*x^261 + 134323060*x^262 + 143076836*x^263 + 158856785*x^264 + 176441968*x^265 + 184341816*x^266 + 197045016*x^267 + 199755916*x^268 + 215385509*x^269 + 226571781*x^270 + 239643023*x^271 + 258493271*x^272 + 271127667*x^273 + 291399722*x^274 + 298740354*x^275 + 306558928*x^276 + 314222961*x^277 + 321008051*x^278 + 337601677*x^279 + 348952142*x^280 + 362409554*x^281 + 369405934*x^282 + 363663370*x^283 + 361154303*x^284 + 347335838*x^285 + 356484747*x^286 + 354900170*x^287 + 355592652*x^288 + 345289553*x^289 + 333124971*x^290 + 322632515*x^291 + 299358091*x^292 + 275613574*x^293 + 258362625*x^294 + 241196526*x^295 + 244812365*x^296 + 223563874*x^297 + 204961033*x^298 + 171265358*x^299 + 146651684*x^300 + 136349984*x^301 + 116561471*x^302 + 122403645*x^303 + 112671109*x^304 + 106998464*x^305 + 95793854*x^306 + 78828095*x^307 + 84066665*x^308 + 71444392*x^309 + 86636324*x^310 + 88350441*x^311 + 99441525*x^312 + 117665287*x^313 + 110666264*x^314 + 113614756*x^315 + 92779076*x^316 + 112948673*x^317 + 120718963*x^318 + 122052387*x^319 + 121565916*x^320 + 91154415*x^321 + 77262897*x^322 + 47257596*x^323 + 26317835*x^324 + 12632956*x^325 - 25058403*x^326 - 42610159*x^327 - 102851265*x^328 - 140728104*x^329 - 185434412*x^330 - 224632703*x^331 - 270765969*x^332 - 306887460*x^333 - 321014225*x^334 - 330827992*x^335 - 364857682*x^336 - 389357166*x^337 - 419042885*x^338 - 387715833*x^339 - 348268457*x^340 - 299466598*x^341 - 256810817*x^342 - 216040449*x^343 - 136285405*x^344 - 77468664*x^345 + 2315197*x^346 + 109089648*x^347 + 214168317*x^348 + 343886950*x^349 + 429376933*x^350 + 528830536*x^351 + 616799489*x^352 + 682570800*x^353 + 769266982*x^354 + 803824496*x^355 + 893345304*x^356 + 923437415*x^357 + 930082946*x^358 + 870222315*x^359 + 791470846*x^360 + 736601219*x^361 + 648068016*x^362 + 527656551*x^363 + 396690365*x^364 + 214635535*x^365 + 70253878*x^366 - 167286811*x^367 - 354791226*x^368 - 588147616*x^369 - 767842521*x^370 - 950310585*x^371 - 1158883795*x^372 - 1322369345*x^373 - 1485200906*x^374 - 1614790568*x^375 - 1730704738*x^376 - 1813340415*x^377 - 1780383476*x^378 - 1754649353*x^379 - 1689154371*x^380 - 1627897448*x^381 - 1515379753*x^382 - 1287045205*x^383 - 1068272057*x^384 - 803303270*x^385 - 562312502*x^386 - 261606644*x^387 + 76825691*x^388 + 374701153*x^389 + 691719104*x^390 + 1012624525*x^391 + 1360347796*x^392 + 1690156938*x^393 + 1912893196*x^394 + 2151871095*x^395 + 2280578582*x^396 + 2431036322*x^397 + 2478305402*x^398 + 2491397388*x^399 + 2516964369*x^400 + 2437249531*x^401 + 2308254979*x^402 + 2006030738*x^403 + 1682234977*x^404 + 1410565649*x^405 + 1044107584*x^406 + 735737049*x^407 + 270986313*x^408 - 125213827*x^409 - 618372637*x^410 - 1153178099*x^411 - 1644905248*x^412 - 2150373461*x^413 - 2452395548*x^414 - 2781089645*x^415 - 3047168769*x^416 - 3288842688*x^417 - 3519300389*x^418 - 3642275130*x^419 - 3822488106*x^420 - 3795086991*x^421 - 3640386207*x^422 - 3369833227*x^423 - 3001987961*x^424 - 2761710537*x^425 - 2361973978*x^426 - 2025078877*x^427 - 1508183234*x^428 - 957803498*x^429 - 320247205*x^430 + 441018537*x^431 + 1094666615*x^432 + 1665393578*x^433 + 2132014250*x^434 + 2554202554*x^435 + 3066298529*x^436 + 3427628196*x^437 + 3866055463*x^438 + 4199349533*x^439 + 4513680229*x^440 + 4644771853*x^441 + 4501808361*x^442 + 4290532322*x^443 + 3961380771*x^444 + 3726577823*x^445 + 3407507064*x^446 + 2968797791*x^447 + 2477458621*x^448 + 1748005068*x^449 + 976881129*x^450 + 83041993*x^451 - 698533215*x^452 - 1296666911*x^453 - 1985628075*x^454 - 2532805052*x^455 - 3218217863*x^456 - 3758155279*x^457 - 4360081193*x^458 - 4948648274*x^459 - 5375365772*x^460 - 5633195144*x^461 - 5504007328*x^462 - 5266913607*x^463 - 5017723367*x^464 - 4703611000*x^465 - 4454593815*x^466 - 3932960047*x^467 - 3426699948*x^468 - 2547394352*x^469 - 1646324909*x^470 - 740627608*x^471 + 124785978*x^472 + 851180741*x^473 + 1692453929*x^474 + 2411030681*x^475 + 3143964957*x^476 + 3871113010*x^477 + 4567230139*x^478 + 5376811954*x^479 + 5830220902*x^480 + 6040832775*x^481 + 5841735987*x^482 + 5541404890*x^483 + 5256728560*x^484 + 4863146692*x^485 + 4571534632*x^486 + 4021232440*x^487 + 3355560999*x^488 + 2422706088*x^489 + 1438768397*x^490 + 526446931*x^491 - 448798160*x^492 - 1333207182*x^493 - 2289662415*x^494 - 3143359618*x^495 - 3911961927*x^496 - 4777691201*x^497 - 5564254104*x^498 - 6406622927*x^499 - 6706569069*x^500 - 6751229573*x^501 - 6412261624*x^502 - 6007511027*x^503 - 5596666231*x^504 - 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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 - 450645318*x^165 - 446168757*x^166 - 439628026*x^167 - 432929504*x^168 - 424880197*x^169 - 416308232*x^170 - 405650061*x^171 - 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2318094*x^1072 - 23507510*x^1073 - 43004997*x^1074 - 60690180*x^1075 - 74933337*x^1076 - 87887302*x^1077 - 96415757*x^1078 - 103880501*x^1079 - 107666526*x^1080 - 109922113*x^1081 - 108554787*x^1082 - 105936157*x^1083 - 99645503*x^1084 - 92448053*x^1085 - 83083686*x^1086 - 72924861*x^1087 - 62059228*x^1088 - 50503231*x^1089 - 38753092*x^1090 - 26096354*x^1091 - 14503377*x^1092 - 2131069*x^1093 + 8424037*x^1094 + 18648562*x^1095 + 27288308*x^1096 + 34936469*x^1097 + 40918780*x^1098 + 46132493*x^1099 + 49862720*x^1100 + 52312299*x^1101 + 53409135*x^1102 + 53035901*x^1103 + 51249942*x^1104 + 48692085*x^1105 + 45040048*x^1106 + 40919776*x^1107 + 36418550*x^1108 + 31244574*x^1109 + 25947045*x^1110 + 19994455*x^1111 + 14251297*x^1112 + 8111379*x^1113 + 2881032*x^1114 - 2336606*x^1115 - 6915834*x^1116 - 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 - 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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 - 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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 - 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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 *)