#  NLP written by GAMS Convert at 12/11/20 08:11:53
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#        205      205        0        0        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#        207      207        0        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#        609      309      300        0
# 
#  Reformulation has removed 1 variable and 1 equation


var x1 >= -3, <= 3;
var x2 >= -3, <= 3;
var x3 >= -1, <= 1;
var x4 >= -1, <= 1;
var x5 >= 0, <= 10000000;
var x6 >= 0, <= 10000000;
var x7 >= 0, <= 10000000;
var x8 >= 0, <= 10000000;
var x9 >= 0, <= 10000000;
var x10 >= 0, <= 10000000;
var x11 >= 0, <= 10000000;
var x12 >= 0, <= 10000000;
var x13 >= 0, <= 10000000;
var x14 >= 0, <= 10000000;
var x15 >= 0, <= 10000000;
var x16 >= 0, <= 10000000;
var x17 >= 0, <= 10000000;
var x18 >= 0, <= 10000000;
var x19 >= 0, <= 10000000;
var x20 >= 0, <= 10000000;
var x21 >= 0, <= 10000000;
var x22 >= 0, <= 10000000;
var x23 >= 0, <= 10000000;
var x24 >= 0, <= 10000000;
var x25 >= 0, <= 10000000;
var x26 >= 0, <= 10000000;
var x27 >= 0, <= 10000000;
var x28 >= 0, <= 10000000;
var x29 >= 0, <= 10000000;
var x30 >= 0, <= 10000000;
var x31 >= 0, <= 10000000;
var x32 >= 0, <= 10000000;
var x33 >= 0, <= 10000000;
var x34 >= 0, <= 10000000;
var x35 >= 0, <= 10000000;
var x36 >= 0, <= 10000000;
var x37 >= 0, <= 10000000;
var x38 >= 0, <= 10000000;
var x39 >= 0, <= 10000000;
var x40 >= 0, <= 10000000;
var x41 >= 0, <= 10000000;
var x42 >= 0, <= 10000000;
var x43 >= 0, <= 10000000;
var x44 >= 0, <= 10000000;
var x45 >= 0, <= 10000000;
var x46 >= 0, <= 10000000;
var x47 >= 0, <= 10000000;
var x48 >= 0, <= 10000000;
var x49 >= 0, <= 10000000;
var x50 >= 0, <= 10000000;
var x51 >= 0, <= 10000000;
var x52 >= 0, <= 10000000;
var x53 >= 0, <= 10000000;
var x54 >= 0, <= 10000000;
var x55 >= 0, <= 10000000;
var x56 >= 0, <= 10000000;
var x57 >= 0, <= 10000000;
var x58 >= 0, <= 10000000;
var x59 >= 0, <= 10000000;
var x60 >= 0, <= 10000000;
var x61 >= 0, <= 10000000;
var x62 >= 0, <= 10000000;
var x63 >= 0, <= 10000000;
var x64 >= 0, <= 10000000;
var x65 >= 0, <= 10000000;
var x66 >= 0, <= 10000000;
var x67 >= 0, <= 10000000;
var x68 >= 0, <= 10000000;
var x69 >= 0, <= 10000000;
var x70 >= 0, <= 10000000;
var x71 >= 0, <= 10000000;
var x72 >= 0, <= 10000000;
var x73 >= 0, <= 10000000;
var x74 >= 0, <= 10000000;
var x75 >= 0, <= 10000000;
var x76 >= 0, <= 10000000;
var x77 >= 0, <= 10000000;
var x78 >= 0, <= 10000000;
var x79 >= 0, <= 10000000;
var x80 >= 0, <= 10000000;
var x81 >= 0, <= 10000000;
var x82 >= 0, <= 10000000;
var x83 >= 0, <= 10000000;
var x84 >= 0, <= 10000000;
var x85 >= 0, <= 10000000;
var x86 >= 0, <= 10000000;
var x87 >= 0, <= 10000000;
var x88 >= 0, <= 10000000;
var x89 >= 0, <= 10000000;
var x90 >= 0, <= 10000000;
var x91 >= 0, <= 10000000;
var x92 >= 0, <= 10000000;
var x93 >= 0, <= 10000000;
var x94 >= 0, <= 10000000;
var x95 >= 0, <= 10000000;
var x96 >= 0, <= 10000000;
var x97 >= 0, <= 10000000;
var x98 >= 0, <= 10000000;
var x99 >= 0, <= 10000000;
var x100 >= 0, <= 10000000;
var x101 >= 0, <= 10000000;
var x102 >= 0, <= 10000000;
var x103 >= 0, <= 10000000;
var x104 >= 0, <= 10000000;
var x105 >= 0, <= 10000000;
var x106 >= 0, <= 10000000;
var x107 >= 0, <= 10000000;
var x108 >= 0, <= 10000000;
var x109 >= 0, <= 10000000;
var x110 >= 0, <= 10000000;
var x111 >= 0, <= 10000000;
var x112 >= 0, <= 10000000;
var x113 >= 0, <= 10000000;
var x114 >= 0, <= 10000000;
var x115 >= 0, <= 10000000;
var x116 >= 0, <= 10000000;
var x117 >= 0, <= 10000000;
var x118 >= 0, <= 10000000;
var x119 >= 0, <= 10000000;
var x120 >= 0, <= 10000000;
var x121 >= 0, <= 10000000;
var x122 >= 0, <= 10000000;
var x123 >= 0, <= 10000000;
var x124 >= 0, <= 10000000;
var x125 >= 0, <= 10000000;
var x126 >= 0, <= 10000000;
var x127 >= 0, <= 10000000;
var x128 >= 0, <= 10000000;
var x129 >= 0, <= 10000000;
var x130 >= 0, <= 10000000;
var x131 >= 0, <= 10000000;
var x132 >= 0, <= 10000000;
var x133 >= 0, <= 10000000;
var x134 >= 0, <= 10000000;
var x135 >= 0, <= 10000000;
var x136 >= 0, <= 10000000;
var x137 >= 0, <= 10000000;
var x138 >= 0, <= 10000000;
var x139 >= 0, <= 10000000;
var x140 >= 0, <= 10000000;
var x141 >= 0, <= 10000000;
var x142 >= 0, <= 10000000;
var x143 >= 0, <= 10000000;
var x144 >= 0, <= 10000000;
var x145 >= 0, <= 10000000;
var x146 >= 0, <= 10000000;
var x147 >= 0, <= 10000000;
var x148 >= 0, <= 10000000;
var x149 >= 0, <= 10000000;
var x150 >= 0, <= 10000000;
var x151 >= 0, <= 10000000;
var x152 >= 0, <= 10000000;
var x153 >= 0, <= 10000000;
var x154 >= 0, <= 10000000;
var x155 >= 0, <= 10000000;
var x156 >= 0, <= 10000000;
var x157 >= 0, <= 10000000;
var x158 >= 0, <= 10000000;
var x159 >= 0, <= 10000000;
var x160 >= 0, <= 10000000;
var x161 >= 0, <= 10000000;
var x162 >= 0, <= 10000000;
var x163 >= 0, <= 10000000;
var x164 >= 0, <= 10000000;
var x165 >= 0, <= 10000000;
var x166 >= 0, <= 10000000;
var x167 >= 0, <= 10000000;
var x168 >= 0, <= 10000000;
var x169 >= 0, <= 10000000;
var x170 >= 0, <= 10000000;
var x171 >= 0, <= 10000000;
var x172 >= 0, <= 10000000;
var x173 >= 0, <= 10000000;
var x174 >= 0, <= 10000000;
var x175 >= 0, <= 10000000;
var x176 >= 0, <= 10000000;
var x177 >= 0, <= 10000000;
var x178 >= 0, <= 10000000;
var x179 >= 0, <= 10000000;
var x180 >= 0, <= 10000000;
var x181 >= 0, <= 10000000;
var x182 >= 0, <= 10000000;
var x183 >= 0, <= 10000000;
var x184 >= 0, <= 10000000;
var x185 >= 0, <= 10000000;
var x186 >= 0, <= 10000000;
var x187 >= 0, <= 10000000;
var x188 >= 0, <= 10000000;
var x189 >= 0, <= 10000000;
var x190 >= 0, <= 10000000;
var x191 >= 0, <= 10000000;
var x192 >= 0, <= 10000000;
var x193 >= 0, <= 10000000;
var x194 >= 0, <= 10000000;
var x195 >= 0, <= 10000000;
var x196 >= 0, <= 10000000;
var x197 >= 0, <= 10000000;
var x198 >= 0, <= 10000000;
var x199 >= 0, <= 10000000;
var x200 >= 0, <= 10000000;
var x201 >= 0, <= 10000000;
var x202 >= 0, <= 10000000;
var x203 >= 0, <= 10000000;
var x204 >= 0, <= 10000000;
var x205 >= -10000000, <= 10000000;
var x206 >= -10000000, <= 10000000;

minimize obj:    x206;

subject to

e2:    0.166666666666667*x1 - x3 = -0.5;

e3:    0.166666666666667*x2 - x4 = -0.5;

e4: 19.6201106576326*(0.318506016217697 - x3)^2 + 40.4583182683705*(
    0.995844837878127 - x4)^2 - x5 = 0;

e5: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x5) + 
    1.66666666666667*x5))*exp(-2.23606797749979*sqrt(x5)) - x6 = 0;

e6: 19.6201106576326*(0.978322853549746 - x3)^2 + 40.4583182683705*(
    0.637219747152577 - x4)^2 - x7 = 0;

e7: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x7) + 
    1.66666666666667*x7))*exp(-2.23606797749979*sqrt(x7)) - x8 = 0;

e8: 19.6201106576326*(0.714910542287372 - x3)^2 + 40.4583182683705*(
    0.253275217064727 - x4)^2 - x9 = 0;

e9: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x9) + 
    1.66666666666667*x9))*exp(-2.23606797749979*sqrt(x9)) - x10 = 0;

e10: 19.6201106576326*(0.250905906429474 - x3)^2 + 40.4583182683705*(
     0.696708131263985 - x4)^2 - x11 = 0;

e11: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x11) + 
     1.66666666666667*x11))*exp(-2.23606797749979*sqrt(x11)) - x12 = 0;

e12: 19.6201106576326*(0.527260839203782 - x3)^2 + 40.4583182683705*(
     0.287938256673157 - x4)^2 - x13 = 0;

e13: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x13) + 
     1.66666666666667*x13))*exp(-2.23606797749979*sqrt(x13)) - x14 = 0;

e14: 19.6201106576326*(0.802728000268526 - x3)^2 + 40.4583182683705*(
     0.547089425439597 - x4)^2 - x15 = 0;

e15: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x15) + 
     1.66666666666667*x15))*exp(-2.23606797749979*sqrt(x15)) - x16 = 0;

e16: 19.6201106576326*(0.879932157407316 - x3)^2 + 40.4583182683705*(
     0.907154534788069 - x4)^2 - x17 = 0;

e17: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x17) + 
     1.66666666666667*x17))*exp(-2.23606797749979*sqrt(x17)) - x18 = 0;

e18: 19.6201106576326*(0.50417358707111 - x3)^2 + 40.4583182683705*(
     0.649926418828027 - x4)^2 - x19 = 0;

e19: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x19) + 
     1.66666666666667*x19))*exp(-2.23606797749979*sqrt(x19)) - x20 = 0;

e20: 19.6201106576326*(0.604356641693184 - x3)^2 + 40.4583182683705*(
     0.18817836068844 - x4)^2 - x21 = 0;

e21: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x21) + 
     1.66666666666667*x21))*exp(-2.23606797749979*sqrt(x21)) - x22 = 0;

e22: 19.6201106576326*(0.135064035172797 - x3)^2 + 40.4583182683705*(
     0.624098750178228 - x4)^2 - x23 = 0;

e23: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x23) + 
     1.66666666666667*x23))*exp(-2.23606797749979*sqrt(x23)) - x24 = 0;

e24: 19.6201106576326*(0.125521944296455 - x3)^2 + 40.4583182683705*(
     0.00197030842321803 - x4)^2 - x25 = 0;

e25: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x25) + 
     1.66666666666667*x25))*exp(-2.23606797749979*sqrt(x25)) - x26 = 0;

e26: 19.6201106576326*(0.679349281251307 - x3)^2 + 40.4583182683705*(
     0.807101799162965 - x4)^2 - x27 = 0;

e27: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x27) + 
     1.66666666666667*x27))*exp(-2.23606797749979*sqrt(x27)) - x28 = 0;

e28: 19.6201106576326*(0.0615212038056166 - x3)^2 + 40.4583182683705*(
     0.607970798708592 - x4)^2 - x29 = 0;

e29: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x29) + 
     1.66666666666667*x29))*exp(-2.23606797749979*sqrt(x29)) - x30 = 0;

e30: 19.6201106576326*(0.831245254381306 - x3)^2 + 40.4583182683705*(
     0.292472741844543 - x4)^2 - x31 = 0;

e31: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x31) + 
     1.66666666666667*x31))*exp(-2.23606797749979*sqrt(x31)) - x32 = 0;

e32: 19.6201106576326*(0.584712421934664 - x3)^2 + 40.4583182683705*(
     0.196740943237204 - x4)^2 - x33 = 0;

e33: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x33) + 
     1.66666666666667*x33))*exp(-2.23606797749979*sqrt(x33)) - x34 = 0;

e34: 19.6201106576326*(0.461374581704313 - x3)^2 + 40.4583182683705*(
     0.0886973159720118 - x4)^2 - x35 = 0;

e35: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x35) + 
     1.66666666666667*x35))*exp(-2.23606797749979*sqrt(x35)) - x36 = 0;

e36: 19.6201106576326*(0.1526506202799 - x3)^2 + 40.4583182683705*(
     0.132122524217723 - x4)^2 - x37 = 0;

e37: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x37) + 
     1.66666666666667*x37))*exp(-2.23606797749979*sqrt(x37)) - x38 = 0;

e38: 19.6201106576326*(0.923671129729507 - x3)^2 + 40.4583182683705*(
     0.911336854103809 - x4)^2 - x39 = 0;

e39: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x39) + 
     1.66666666666667*x39))*exp(-2.23606797749979*sqrt(x39)) - x40 = 0;

e40: 19.6201106576326*(0.65850701610235 - x3)^2 + 40.4583182683705*(
     0.0349859399197679 - x4)^2 - x41 = 0;

e41: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x41) + 
     1.66666666666667*x41))*exp(-2.23606797749979*sqrt(x41)) - x42 = 0;

e42: 19.6201106576326*(0.399532188429421 - x3)^2 + 40.4583182683705*(
     0.213824861982886 - x4)^2 - x43 = 0;

e43: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x43) + 
     1.66666666666667*x43))*exp(-2.23606797749979*sqrt(x43)) - x44 = 0;

e44: 19.6201106576326*(0.868669074211383 - x3)^2 + 40.4583182683705*(
     0.713999332971928 - x4)^2 - x45 = 0;

e45: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x45) + 
     1.66666666666667*x45))*exp(-2.23606797749979*sqrt(x45)) - x46 = 0;

e46: 19.6201106576326*(0.100872983940184 - x3)^2 + 40.4583182683705*(
     0.876456772465024 - x4)^2 - x47 = 0;

e47: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x47) + 
     1.66666666666667*x47))*exp(-2.23606797749979*sqrt(x47)) - x48 = 0;

e48: 19.6201106576326*(0.160507966752362 - x3)^2 + 40.4583182683705*(
     0.671333533159986 - x4)^2 - x49 = 0;

e49: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x49) + 
     1.66666666666667*x49))*exp(-2.23606797749979*sqrt(x49)) - x50 = 0;

e50: 19.6201106576326*(0.174845079492285 - x3)^2 + 40.4583182683705*(
     0.174933461850037 - x4)^2 - x51 = 0;

e51: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x51) + 
     1.66666666666667*x51))*exp(-2.23606797749979*sqrt(x51)) - x52 = 0;

e52: 19.6201106576326*(0.285715225071541 - x3)^2 + 40.4583182683705*(
     0.389101225718371 - x4)^2 - x53 = 0;

e53: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x53) + 
     1.66666666666667*x53))*exp(-2.23606797749979*sqrt(x53)) - x54 = 0;

e54: 19.6201106576326*(0.216610696340541 - x3)^2 + 40.4583182683705*(
     0.374061818330203 - x4)^2 - x55 = 0;

e55: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x55) + 
     1.66666666666667*x55))*exp(-2.23606797749979*sqrt(x55)) - x56 = 0;

e56: 19.6201106576326*(0.5920970098103 - x3)^2 + 40.4583182683705*(
     0.896819702655309 - x4)^2 - x57 = 0;

e57: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x57) + 
     1.66666666666667*x57))*exp(-2.23606797749979*sqrt(x57)) - x58 = 0;

e58: 19.6201106576326*(0.956432844858346 - x3)^2 + 40.4583182683705*(
     0.964392512538353 - x4)^2 - x59 = 0;

e59: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x59) + 
     1.66666666666667*x59))*exp(-2.23606797749979*sqrt(x59)) - x60 = 0;

e60: 19.6201106576326*(0.744564705036913 - x3)^2 + 40.4583182683705*(
     0.505639230184061 - x4)^2 - x61 = 0;

e61: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x61) + 
     1.66666666666667*x61))*exp(-2.23606797749979*sqrt(x61)) - x62 = 0;

e62: 19.6201106576326*(0.325227222888816 - x3)^2 + 40.4583182683705*(
     0.201259092205688 - x4)^2 - x63 = 0;

e63: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x63) + 
     1.66666666666667*x63))*exp(-2.23606797749979*sqrt(x63)) - x64 = 0;

e64: 19.6201106576326*(0.386570918559707 - x3)^2 + 40.4583182683705*(
     0.663805306296134 - x4)^2 - x65 = 0;

e65: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x65) + 
     1.66666666666667*x65))*exp(-2.23606797749979*sqrt(x65)) - x66 = 0;

e66: 19.6201106576326*(0.94942138275704 - x3)^2 + 40.4583182683705*(
     0.446919746985353 - x4)^2 - x67 = 0;

e67: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x67) + 
     1.66666666666667*x67))*exp(-2.23606797749979*sqrt(x67)) - x68 = 0;

e68: 19.6201106576326*(0.00265650756791783 - x3)^2 + 40.4583182683705*(
     0.552017194794834 - x4)^2 - x69 = 0;

e69: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x69) + 
     1.66666666666667*x69))*exp(-2.23606797749979*sqrt(x69)) - x70 = 0;

e70: 19.6201106576326*(0.649065658109127 - x3)^2 + 40.4583182683705*(
     0.391092958894925 - x4)^2 - x71 = 0;

e71: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x71) + 
     1.66666666666667*x71))*exp(-2.23606797749979*sqrt(x71)) - x72 = 0;

e72: 19.6201106576326*(0.752625677361254 - x3)^2 + 40.4583182683705*(
     0.474421900201028 - x4)^2 - x73 = 0;

e73: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x73) + 
     1.66666666666667*x73))*exp(-2.23606797749979*sqrt(x73)) - x74 = 0;

e74: 19.6201106576326*(0.932944114995816 - x3)^2 + 40.4583182683705*(
     0.368601285295509 - x4)^2 - x75 = 0;

e75: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x75) + 
     1.66666666666667*x75))*exp(-2.23606797749979*sqrt(x75)) - x76 = 0;

e76: 19.6201106576326*(0.0197987981248721 - x3)^2 + 40.4583182683705*(
     0.245930545534257 - x4)^2 - x77 = 0;

e77: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x77) + 
     1.66666666666667*x77))*exp(-2.23606797749979*sqrt(x77)) - x78 = 0;

e78: 19.6201106576326*(0.769026185188662 - x3)^2 + 40.4583182683705*(
     0.486339957430933 - x4)^2 - x79 = 0;

e79: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x79) + 
     1.66666666666667*x79))*exp(-2.23606797749979*sqrt(x79)) - x80 = 0;

e80: 19.6201106576326*(0.964312478807674 - x3)^2 + 40.4583182683705*(
     0.233027119480037 - x4)^2 - x81 = 0;

e81: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x81) + 
     1.66666666666667*x81))*exp(-2.23606797749979*sqrt(x81)) - x82 = 0;

e82: 19.6201106576326*(0.423923808602885 - x3)^2 + 40.4583182683705*(
     0.458509823825938 - x4)^2 - x83 = 0;

e83: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x83) + 
     1.66666666666667*x83))*exp(-2.23606797749979*sqrt(x83)) - x84 = 0;

e84: 19.6201106576326*(0.854207993610184 - x3)^2 + 40.4583182683705*(
     0.0972157844954085 - x4)^2 - x85 = 0;

e85: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x85) + 
     1.66666666666667*x85))*exp(-2.23606797749979*sqrt(x85)) - x86 = 0;

e86: 19.6201106576326*(0.0866111737415755 - x3)^2 + 40.4583182683705*(
     0.422616771544244 - x4)^2 - x87 = 0;

e87: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x87) + 
     1.66666666666667*x87))*exp(-2.23606797749979*sqrt(x87)) - x88 = 0;

e88: 19.6201106576326*(0.612705324055941 - x3)^2 + 40.4583182683705*(
     0.560135620231484 - x4)^2 - x89 = 0;

e89: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x89) + 
     1.66666666666667*x89))*exp(-2.23606797749979*sqrt(x89)) - x90 = 0;

e90: 19.6201106576326*(0.848893031532009 - x3)^2 + 40.4583182683705*(
     0.221250268057618 - x4)^2 - x91 = 0;

e91: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x91) + 
     1.66666666666667*x91))*exp(-2.23606797749979*sqrt(x91)) - x92 = 0;

e92: 19.6201106576326*(0.912072548737684 - x3)^2 + 40.4583182683705*(
     0.027449627111323 - x4)^2 - x93 = 0;

e93: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x93) + 
     1.66666666666667*x93))*exp(-2.23606797749979*sqrt(x93)) - x94 = 0;

e94: 19.6201106576326*(0.891994688236021 - x3)^2 + 40.4583182683705*(
     0.0759826901839174 - x4)^2 - x95 = 0;

e95: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x95) + 
     1.66666666666667*x95))*exp(-2.23606797749979*sqrt(x95)) - x96 = 0;

e96: 19.6201106576326*(0.22120189691528 - x3)^2 + 40.4583182683705*(
     0.759683863248548 - x4)^2 - x97 = 0;

e97: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x97) + 
     1.66666666666667*x97))*exp(-2.23606797749979*sqrt(x97)) - x98 = 0;

e98: 19.6201106576326*(0.48647303917701 - x3)^2 + 40.4583182683705*(
     0.268273924566701 - x4)^2 - x99 = 0;

e99: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x99) + 
     1.66666666666667*x99))*exp(-2.23606797749979*sqrt(x99)) - x100 = 0;

e100: 19.6201106576326*(0.273974521869731 - x3)^2 + 40.4583182683705*(
      0.578137486538462 - x4)^2 - x101 = 0;

e101: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x101) + 
      1.66666666666667*x101))*exp(-2.23606797749979*sqrt(x101)) - x102 = 0;

e102: 19.6201106576326*(0.733448786698921 - x3)^2 + 40.4583182683705*(
      0.16348650934777 - x4)^2 - x103 = 0;

e103: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x103) + 
      1.66666666666667*x103))*exp(-2.23606797749979*sqrt(x103)) - x104 = 0;

e104: 19.6201106576326*(0.293349924152424 - x3)^2 + 40.4583182683705*(
      0.687270025553917 - x4)^2 - x105 = 0;

e105: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x105) + 
      1.66666666666667*x105))*exp(-2.23606797749979*sqrt(x105)) - x106 = 0;

e106: 19.6201106576326*(0.681319307041876 - x3)^2 + 40.4583182683705*(
      0.495907939573163 - x4)^2 - x107 = 0;

e107: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x107) + 
      1.66666666666667*x107))*exp(-2.23606797749979*sqrt(x107)) - x108 = 0;

e108: 19.6201106576326*(0.884830597977837 - x3)^2 + 40.4583182683705*(
      0.0558220505207711 - x4)^2 - x109 = 0;

e109: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x109) + 
      1.66666666666667*x109))*exp(-2.23606797749979*sqrt(x109)) - x110 = 0;

e110: 19.6201106576326*(0.550581288961839 - x3)^2 + 40.4583182683705*(
      0.825204342428317 - x4)^2 - x111 = 0;

e111: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x111) + 
      1.66666666666667*x111))*exp(-2.23606797749979*sqrt(x111)) - x112 = 0;

e112: 19.6201106576326*(0.145742110147004 - x3)^2 + 40.4583182683705*(
      0.887874149111678 - x4)^2 - x113 = 0;

e113: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x113) + 
      1.66666666666667*x113))*exp(-2.23606797749979*sqrt(x113)) - x114 = 0;

e114: 19.6201106576326*(0.664444857551067 - x3)^2 + 40.4583182683705*(
      0.619644969230408 - x4)^2 - x115 = 0;

e115: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x115) + 
      1.66666666666667*x115))*exp(-2.23606797749979*sqrt(x115)) - x116 = 0;

e116: 19.6201106576326*(0.577174879646415 - x3)^2 + 40.4583182683705*(
      0.652023373093265 - x4)^2 - x117 = 0;

e117: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x117) + 
      1.66666666666667*x117))*exp(-2.23606797749979*sqrt(x117)) - x118 = 0;

e118: 19.6201106576326*(0.0285609915535226 - x3)^2 + 40.4583182683705*(
      0.0172365689646424 - x4)^2 - x119 = 0;

e119: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x119) + 
      1.66666666666667*x119))*exp(-2.23606797749979*sqrt(x119)) - x120 = 0;

e120: 19.6201106576326*(0.239784592868809 - x3)^2 + 40.4583182683705*(
      0.740993101987497 - x4)^2 - x121 = 0;

e121: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x121) + 
      1.66666666666667*x121))*exp(-2.23606797749979*sqrt(x121)) - x122 = 0;

e122: 19.6201106576326*(0.404269209174319 - x3)^2 + 40.4583182683705*(
      0.511355166434789 - x4)^2 - x123 = 0;

e123: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x123) + 
      1.66666666666667*x123))*exp(-2.23606797749979*sqrt(x123)) - x124 = 0;

e124: 19.6201106576326*(0.455524109122716 - x3)^2 + 40.4583182683705*(
      0.924581782561569 - x4)^2 - x125 = 0;

e125: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x125) + 
      1.66666666666667*x125))*exp(-2.23606797749979*sqrt(x125)) - x126 = 0;

e126: 19.6201106576326*(0.516083695968459 - x3)^2 + 40.4583182683705*(
      0.0629407762591054 - x4)^2 - x127 = 0;

e127: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x127) + 
      1.66666666666667*x127))*exp(-2.23606797749979*sqrt(x127)) - x128 = 0;

e128: 19.6201106576326*(0.0448376486929695 - x3)^2 + 40.4583182683705*(
      0.153029022408953 - x4)^2 - x129 = 0;

e129: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x129) + 
      1.66666666666667*x129))*exp(-2.23606797749979*sqrt(x129)) - x130 = 0;

e130: 19.6201106576326*(0.564762895929878 - x3)^2 + 40.4583182683705*(
      0.944616444424944 - x4)^2 - x131 = 0;

e131: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x131) + 
      1.66666666666667*x131))*exp(-2.23606797749979*sqrt(x131)) - x132 = 0;

e132: 19.6201106576326*(0.443898701505148 - x3)^2 + 40.4583182683705*(
      0.303161718490791 - x4)^2 - x133 = 0;

e133: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x133) + 
      1.66666666666667*x133))*exp(-2.23606797749979*sqrt(x133)) - x134 = 0;

e134: 19.6201106576326*(0.692211891216269 - x3)^2 + 40.4583182683705*(
      0.797736896688745 - x4)^2 - x135 = 0;

e135: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x135) + 
      1.66666666666667*x135))*exp(-2.23606797749979*sqrt(x135)) - x136 = 0;

e136: 19.6201106576326*(0.494303734171884 - x3)^2 + 40.4583182683705*(
      0.534951587694652 - x4)^2 - x137 = 0;

e137: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x137) + 
      1.66666666666667*x137))*exp(-2.23606797749979*sqrt(x137)) - x138 = 0;

e138: 19.6201106576326*(0.541298902097622 - x3)^2 + 40.4583182683705*(
      0.932298392828667 - x4)^2 - x139 = 0;

e139: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x139) + 
      1.66666666666667*x139))*exp(-2.23606797749979*sqrt(x139)) - x140 = 0;

e140: 19.6201106576326*(0.357165248560784 - x3)^2 + 40.4583182683705*(
      0.976723864707925 - x4)^2 - x141 = 0;

e141: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x141) + 
      1.66666666666667*x141))*exp(-2.23606797749979*sqrt(x141)) - x142 = 0;

e142: 19.6201106576326*(0.205489753778211 - x3)^2 + 40.4583182683705*(
      0.527215593426171 - x4)^2 - x143 = 0;

e143: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x143) + 
      1.66666666666667*x143))*exp(-2.23606797749979*sqrt(x143)) - x144 = 0;

e144: 19.6201106576326*(0.364195377111947 - x3)^2 + 40.4583182683705*(
      0.838017689944174 - x4)^2 - x145 = 0;

e145: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x145) + 
      1.66666666666667*x145))*exp(-2.23606797749979*sqrt(x145)) - x146 = 0;

e146: 19.6201106576326*(0.708429430531505 - x3)^2 + 40.4583182683705*(
      0.334041203994477 - x4)^2 - x147 = 0;

e147: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x147) + 
      1.66666666666667*x147))*exp(-2.23606797749979*sqrt(x147)) - x148 = 0;

e148: 19.6201106576326*(0.78629650896495 - x3)^2 + 40.4583182683705*(
      0.727249984298437 - x4)^2 - x149 = 0;

e149: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x149) + 
      1.66666666666667*x149))*exp(-2.23606797749979*sqrt(x149)) - x150 = 0;

e150: 19.6201106576326*(0.265063384197875 - x3)^2 + 40.4583182683705*(
      0.867696619148044 - x4)^2 - x151 = 0;

e151: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x151) + 
      1.66666666666667*x151))*exp(-2.23606797749979*sqrt(x151)) - x152 = 0;

e152: 19.6201106576326*(0.342667959707229 - x3)^2 + 40.4583182683705*(
      0.346858798294088 - x4)^2 - x153 = 0;

e153: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x153) + 
      1.66666666666667*x153))*exp(-2.23606797749979*sqrt(x153)) - x154 = 0;

e154: 19.6201106576326*(0.726645889735597 - x3)^2 + 40.4583182683705*(
      0.786709742939206 - x4)^2 - x155 = 0;

e155: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x155) + 
      1.66666666666667*x155))*exp(-2.23606797749979*sqrt(x155)) - x156 = 0;

e156: 19.6201106576326*(0.908753819667235 - x3)^2 + 40.4583182683705*(
      0.7782091912312 - x4)^2 - x157 = 0;

e157: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x157) + 
      1.66666666666667*x157))*exp(-2.23606797749979*sqrt(x157)) - x158 = 0;

e158: 19.6201106576326*(0.117313555083334 - x3)^2 + 40.4583182683705*(
      0.278189461924838 - x4)^2 - x159 = 0;

e159: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x159) + 
      1.66666666666667*x159))*exp(-2.23606797749979*sqrt(x159)) - x160 = 0;

e160: 19.6201106576326*(0.413460893326292 - x3)^2 + 40.4583182683705*(
      0.594865743480795 - x4)^2 - x161 = 0;

e161: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x161) + 
      1.66666666666667*x161))*exp(-2.23606797749979*sqrt(x161)) - x162 = 0;

e162: 19.6201106576326*(0.183175383694082 - x3)^2 + 40.4583182683705*(
      0.98517786729995 - x4)^2 - x163 = 0;

e163: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x163) + 
      1.66666666666667*x163))*exp(-2.23606797749979*sqrt(x163)) - x164 = 0;

e164: 19.6201106576326*(0.434995519685955 - x3)^2 + 40.4583182683705*(
      0.587016915749571 - x4)^2 - x165 = 0;

e165: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x165) + 
      1.66666666666667*x165))*exp(-2.23606797749979*sqrt(x165)) - x166 = 0;

e166: 19.6201106576326*(0.074849076326074 - x3)^2 + 40.4583182683705*(
      0.737289796031188 - x4)^2 - x167 = 0;

e167: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x167) + 
      1.66666666666667*x167))*exp(-2.23606797749979*sqrt(x167)) - x168 = 0;

e168: 19.6201106576326*(0.198922773524273 - x3)^2 + 40.4583182683705*(
      0.853849045797167 - x4)^2 - x169 = 0;

e169: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x169) + 
      1.66666666666667*x169))*exp(-2.23606797749979*sqrt(x169)) - x170 = 0;

e170: 19.6201106576326*(0.332933347958517 - x3)^2 + 40.4583182683705*(
      0.95100770837416 - x4)^2 - x171 = 0;

e171: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x171) + 
      1.66666666666667*x171))*exp(-2.23606797749979*sqrt(x171)) - x172 = 0;

e172: 19.6201106576326*(0.631363152517753 - x3)^2 + 40.4583182683705*(
      0.438050962226213 - x4)^2 - x173 = 0;

e173: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x173) + 
      1.66666666666667*x173))*exp(-2.23606797749979*sqrt(x173)) - x174 = 0;

e174: 19.6201106576326*(0.0949450178781353 - x3)^2 + 40.4583182683705*(
      0.3207087433326 - x4)^2 - x175 = 0;

e175: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x175) + 
      1.66666666666667*x175))*exp(-2.23606797749979*sqrt(x175)) - x176 = 0;

e176: 19.6201106576326*(0.811141588829345 - x3)^2 + 40.4583182683705*(
      0.403851907127018 - x4)^2 - x177 = 0;

e177: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x177) + 
      1.66666666666667*x177))*exp(-2.23606797749979*sqrt(x177)) - x178 = 0;

e178: 19.6201106576326*(0.538821717250912 - x3)^2 + 40.4583182683705*(
      0.108191078958746 - x4)^2 - x179 = 0;

e179: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x179) + 
      1.66666666666667*x179))*exp(-2.23606797749979*sqrt(x179)) - x180 = 0;

e180: 19.6201106576326*(0.822652976366767 - x3)^2 + 40.4583182683705*(
      0.318400841118104 - x4)^2 - x181 = 0;

e181: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x181) + 
      1.66666666666667*x181))*exp(-2.23606797749979*sqrt(x181)) - x182 = 0;

e182: 19.6201106576326*(0.377855094496717 - x3)^2 + 40.4583182683705*(
      0.817669351412261 - x4)^2 - x183 = 0;

e183: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x183) + 
      1.66666666666667*x183))*exp(-2.23606797749979*sqrt(x183)) - x184 = 0;

e184: 19.6201106576326*(0.791607276319391 - x3)^2 + 40.4583182683705*(
      0.466689756943249 - x4)^2 - x185 = 0;

e185: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x185) + 
      1.66666666666667*x185))*exp(-2.23606797749979*sqrt(x185)) - x186 = 0;

e186: 19.6201106576326*(0.476668520345214 - x3)^2 + 40.4583182683705*(
      0.354713551343703 - x4)^2 - x187 = 0;

e187: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x187) + 
      1.66666666666667*x187))*exp(-2.23606797749979*sqrt(x187)) - x188 = 0;

e188: 19.6201106576326*(0.308529934759943 - x3)^2 + 40.4583182683705*(
      0.414184726086856 - x4)^2 - x189 = 0;

e189: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x189) + 
      1.66666666666667*x189))*exp(-2.23606797749979*sqrt(x189)) - x190 = 0;

e190: 19.6201106576326*(0.984324175397362 - x3)^2 + 40.4583182683705*(
      0.123289956621765 - x4)^2 - x191 = 0;

e191: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x191) + 
      1.66666666666667*x191))*exp(-2.23606797749979*sqrt(x191)) - x192 = 0;

e192: 19.6201106576326*(0.245909549640963 - x3)^2 + 40.4583182683705*(
      0.117334449988445 - x4)^2 - x193 = 0;

e193: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x193) + 
      1.66666666666667*x193))*exp(-2.23606797749979*sqrt(x193)) - x194 = 0;

e194: 19.6201106576326*(0.993716625482424 - x3)^2 + 40.4583182683705*(
      0.844917725508104 - x4)^2 - x195 = 0;

e195: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x195) + 
      1.66666666666667*x195))*exp(-2.23606797749979*sqrt(x195)) - x196 = 0;

e196: 19.6201106576326*(0.622641599216787 - x3)^2 + 40.4583182683705*(
      0.0469351443733001 - x4)^2 - x197 = 0;

e197: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x197) + 
      1.66666666666667*x197))*exp(-2.23606797749979*sqrt(x197)) - x198 = 0;

e198: 19.6201106576326*(0.0390389585642251 - x3)^2 + 40.4583182683705*(
      0.760465288841365 - x4)^2 - x199 = 0;

e199: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x199) + 
      1.66666666666667*x199))*exp(-2.23606797749979*sqrt(x199)) - x200 = 0;

e200: 19.6201106576326*(0.0550869735721871 - x3)^2 + 40.4583182683705*(
      0.703590766264295 - x4)^2 - x201 = 0;

e201: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x201) + 
      1.66666666666667*x201))*exp(-2.23606797749979*sqrt(x201)) - x202 = 0;

e202: 19.6201106576326*(0.770647547227112 - x3)^2 + 40.4583182683705*(
      0.143538885593233 - x4)^2 - x203 = 0;

e203: (0.528747399043267 + 0.528747399043267*(2.23606797749979*sqrt(x203) + 
      1.66666666666667*x203))*exp(-2.23606797749979*sqrt(x203)) - x204 = 0;

e204:  - 0.182933840574275*x6 - 0.258375690953221*x8 + 0.0136122459492268*x10
       - 0.254317299688475*x12 - 1.72914748598619*x14 + 0.0401991783404903*x16
       - 0.184591212754217*x18 + 0.520259160969762*x20 - 1.2233737728867*x22
       + 0.0126752438724126*x24 - 0.0511953360099554*x26
       + 0.254156572025371*x28 + 0.156337402844952*x30 + 0.0809472061313184*x32
       - 1.64008485239816*x34 - 0.023961568170673*x36 + 0.0272592478939324*x38
       - 0.109665372232369*x40 + 0.223793212846333*x42 - 0.389361763958776*x44
       - 0.274385123906661*x46 - 0.0688761686964344*x48
       - 0.0613933558184358*x50 + 0.087197784582455*x52
       - 0.0645580279870866*x54 - 0.278919254245773*x56
       + 0.0557357797303535*x58 - 0.0785617420493119*x60
       + 0.696842911744125*x62 + 0.329347504387466*x64 + 0.450541608706639*x66
       - 0.441989869404116*x68 + 0.126158865730648*x70 + 0.20670484328048*x72
       + 0.647571059794983*x74 - 0.291485770962819*x76 - 0.0575180312993872*x78
       + 0.479419229658308*x80 - 0.0741415778431238*x82 + 1.10520079389947*x84
       + 0.0864953039291684*x86 + 0.000806543622023244*x88
       - 0.548469754087263*x90 + 0.133175185806227*x92 - 0.0615455000248571*x94
       + 0.00295426291516425*x96 - 0.114675056256521*x98
       - 1.52936676831272*x100 - 1.36377801076615*x102 + 0.277986565904696*x104
       - 0.220778756040578*x106 + 0.673579672644263*x108
       - 0.00815289633304084*x110 + 1.8847598526994*x112
       - 0.110097994376591*x114 + 0.115494049697011*x116
       + 0.149972090269243*x118 - 0.0849851027378783*x120
       - 0.0985578252230923*x122 + 0.151554038808426*x124
       + 0.000866204254118116*x126 + 0.0964683366588659*x128
       - 0.0647390275036913*x130 - 0.261881497906859*x132
       + 0.356769079965463*x134 + 0.171425484506281*x136
       - 0.355790036290457*x138 - 0.127874548811201*x140
       - 0.232347098869325*x142 - 0.88173725751002*x144
       + 0.626944255802698*x146 + 0.311018780677634*x148
       - 0.227829691963433*x150 - 0.205785035940163*x152 + 1.2839257885319*x154
       - 0.088757429022035*x156 - 0.181261777570689*x158
       - 0.0109399618807929*x160 - 0.219880785383143*x162
       - 0.0784940149624078*x164 - 0.133516735303469*x166
       + 0.0194394261618568*x168 - 0.187437564829189*x170
       - 0.233053498035817*x172 + 0.0132786485923555*x174
       - 0.0283449234835788*x176 + 0.0654909239063079*x178
       - 0.337834757325268*x180 + 0.075295926581527*x182
       + 1.12238983774028*x184 + 0.231202223830195*x186
       + 0.994812069872737*x188 - 0.148961022610842*x190
       - 0.0686403643176423*x192 + 0.198430623784632*x194
       - 0.0468503032283778*x196 + 0.226337047268603*x198
       - 0.00154381283468628*x200 + 0.0604034275627598*x202
       + 0.300154544626091*x204 - x205 = 0;

e205:    1.68132371362997*x205 - x206 = -0.31590138750578;