# NLP written by GAMS Convert at 02/17/22 17:20:16
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#       204      204        0        0        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#       206      206        0        0        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#       607      307      300
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.x1 = Var(within=Reals, bounds=(-3,3), initialize=0)
m.x2 = Var(within=Reals, bounds=(-3,3), initialize=0)
m.x3 = Var(within=Reals, bounds=(-1,1), initialize=0)
m.x4 = Var(within=Reals, bounds=(-1,1), initialize=0)
m.x5 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x6 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x7 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x8 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x9 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x10 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x11 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x12 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x13 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x14 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x15 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x16 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x17 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x18 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x19 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x20 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x21 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x22 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x23 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x24 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x25 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x26 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x27 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x28 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x29 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x30 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x31 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x32 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x33 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x34 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x35 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x36 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x37 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x38 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x39 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x40 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x41 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x42 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x43 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x44 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x45 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x46 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x47 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x48 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x49 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x50 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x51 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x52 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x53 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x54 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x55 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x56 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x57 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x58 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x59 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x60 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x61 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x62 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x63 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x64 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x65 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x66 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x67 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x68 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x69 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x70 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x71 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x72 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x73 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x74 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x75 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x76 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x77 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x78 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x79 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x80 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x81 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x82 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x83 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x84 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x85 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x86 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x87 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x88 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x89 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x90 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x91 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x92 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x93 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x94 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x95 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x96 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x97 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x98 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x99 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x100 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x101 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x102 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x103 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x104 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x105 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x106 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x107 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x108 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x109 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x110 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x111 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x112 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x113 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x114 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x115 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x116 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x117 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x118 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x119 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x120 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x121 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x122 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x123 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x124 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x125 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x126 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x127 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x128 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x129 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x130 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x131 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x132 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x133 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x134 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x135 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x136 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x137 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x138 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x139 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x140 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x141 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x142 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x143 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x144 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x145 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x146 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x147 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x148 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x149 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x150 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x151 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x152 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x153 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x154 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x155 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x156 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x157 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x158 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x159 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x160 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x161 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x162 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x163 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x164 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x165 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x166 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x167 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x168 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x169 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x170 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x171 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x172 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x173 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x174 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x175 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x176 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x177 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x178 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x179 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x180 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x181 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x182 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x183 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x184 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x185 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x186 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x187 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x188 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x189 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x190 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x191 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x192 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x193 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x194 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x195 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x196 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x197 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x198 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x199 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x200 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x201 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x202 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x203 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x204 = Var(within=Reals, bounds=(0,1e+07), initialize=0)
m.x205 = Var(within=Reals, bounds=(-1e+07,1e+07), initialize=0)
m.x206 = Var(within=Reals, bounds=(-1e+07,1e+07), initialize=0)

m.obj = Objective(sense=minimize, expr= m.x206)

m.e1 = Constraint(expr= 0.166666666666667 * m.x1 - m.x3 == -0.5)
m.e2 = Constraint(expr= 0.166666666666667 * m.x2 - m.x4 == -0.5)
m.e3 = Constraint(expr= 19.6201106576326 * (0.318506016217697 - m.x3)**2 +
    40.4583182683705 * (0.995844837878127 - m.x4)**2 - m.x5 == 0)
m.e4 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x5) +
    1.66666666666667 * m.x5) + 0.528747399043267) * exp(-2.23606797749979 *
    sqrt(m.x5)) - m.x6 == 0)
m.e5 = Constraint(expr= 19.6201106576326 * (0.978322853549746 - m.x3)**2 +
    40.4583182683705 * (0.637219747152577 - m.x4)**2 - m.x7 == 0)
m.e6 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x7) +
    1.66666666666667 * m.x7) + 0.528747399043267) * exp(-2.23606797749979 *
    sqrt(m.x7)) - m.x8 == 0)
m.e7 = Constraint(expr= 19.6201106576326 * (0.714910542287372 - m.x3)**2 +
    40.4583182683705 * (0.253275217064727 - m.x4)**2 - m.x9 == 0)
m.e8 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x9) +
    1.66666666666667 * m.x9) + 0.528747399043267) * exp(-2.23606797749979 *
    sqrt(m.x9)) - m.x10 == 0)
m.e9 = Constraint(expr= 19.6201106576326 * (0.250905906429474 - m.x3)**2 +
    40.4583182683705 * (0.696708131263985 - m.x4)**2 - m.x11 == 0)
m.e10 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x11)
    + 1.66666666666667 * m.x11) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x11)) - m.x12 == 0)
m.e11 = Constraint(expr= 19.6201106576326 * (0.527260839203782 - m.x3)**2 +
    40.4583182683705 * (0.287938256673157 - m.x4)**2 - m.x13 == 0)
m.e12 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x13)
    + 1.66666666666667 * m.x13) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x13)) - m.x14 == 0)
m.e13 = Constraint(expr= 19.6201106576326 * (0.802728000268526 - m.x3)**2 +
    40.4583182683705 * (0.547089425439597 - m.x4)**2 - m.x15 == 0)
m.e14 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x15)
    + 1.66666666666667 * m.x15) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x15)) - m.x16 == 0)
m.e15 = Constraint(expr= 19.6201106576326 * (0.879932157407316 - m.x3)**2 +
    40.4583182683705 * (0.907154534788069 - m.x4)**2 - m.x17 == 0)
m.e16 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x17)
    + 1.66666666666667 * m.x17) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x17)) - m.x18 == 0)
m.e17 = Constraint(expr= 19.6201106576326 * (0.50417358707111 - m.x3)**2 +
    40.4583182683705 * (0.649926418828027 - m.x4)**2 - m.x19 == 0)
m.e18 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x19)
    + 1.66666666666667 * m.x19) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x19)) - m.x20 == 0)
m.e19 = Constraint(expr= 19.6201106576326 * (0.604356641693184 - m.x3)**2 +
    40.4583182683705 * (0.18817836068844 - m.x4)**2 - m.x21 == 0)
m.e20 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x21)
    + 1.66666666666667 * m.x21) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x21)) - m.x22 == 0)
m.e21 = Constraint(expr= 19.6201106576326 * (0.135064035172797 - m.x3)**2 +
    40.4583182683705 * (0.624098750178228 - m.x4)**2 - m.x23 == 0)
m.e22 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x23)
    + 1.66666666666667 * m.x23) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x23)) - m.x24 == 0)
m.e23 = Constraint(expr= 19.6201106576326 * (0.125521944296455 - m.x3)**2 +
    40.4583182683705 * (0.00197030842321803 - m.x4)**2 - m.x25 == 0)
m.e24 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x25)
    + 1.66666666666667 * m.x25) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x25)) - m.x26 == 0)
m.e25 = Constraint(expr= 19.6201106576326 * (0.679349281251307 - m.x3)**2 +
    40.4583182683705 * (0.807101799162965 - m.x4)**2 - m.x27 == 0)
m.e26 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x27)
    + 1.66666666666667 * m.x27) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x27)) - m.x28 == 0)
m.e27 = Constraint(expr= 19.6201106576326 * (0.0615212038056166 - m.x3)**2 +
    40.4583182683705 * (0.607970798708592 - m.x4)**2 - m.x29 == 0)
m.e28 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x29)
    + 1.66666666666667 * m.x29) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x29)) - m.x30 == 0)
m.e29 = Constraint(expr= 19.6201106576326 * (0.831245254381306 - m.x3)**2 +
    40.4583182683705 * (0.292472741844543 - m.x4)**2 - m.x31 == 0)
m.e30 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x31)
    + 1.66666666666667 * m.x31) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x31)) - m.x32 == 0)
m.e31 = Constraint(expr= 19.6201106576326 * (0.584712421934664 - m.x3)**2 +
    40.4583182683705 * (0.196740943237204 - m.x4)**2 - m.x33 == 0)
m.e32 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x33)
    + 1.66666666666667 * m.x33) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x33)) - m.x34 == 0)
m.e33 = Constraint(expr= 19.6201106576326 * (0.461374581704313 - m.x3)**2 +
    40.4583182683705 * (0.0886973159720118 - m.x4)**2 - m.x35 == 0)
m.e34 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x35)
    + 1.66666666666667 * m.x35) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x35)) - m.x36 == 0)
m.e35 = Constraint(expr= 19.6201106576326 * (0.1526506202799 - m.x3)**2 +
    40.4583182683705 * (0.132122524217723 - m.x4)**2 - m.x37 == 0)
m.e36 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x37)
    + 1.66666666666667 * m.x37) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x37)) - m.x38 == 0)
m.e37 = Constraint(expr= 19.6201106576326 * (0.923671129729507 - m.x3)**2 +
    40.4583182683705 * (0.911336854103809 - m.x4)**2 - m.x39 == 0)
m.e38 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x39)
    + 1.66666666666667 * m.x39) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x39)) - m.x40 == 0)
m.e39 = Constraint(expr= 19.6201106576326 * (0.65850701610235 - m.x3)**2 +
    40.4583182683705 * (0.0349859399197679 - m.x4)**2 - m.x41 == 0)
m.e40 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x41)
    + 1.66666666666667 * m.x41) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x41)) - m.x42 == 0)
m.e41 = Constraint(expr= 19.6201106576326 * (0.399532188429421 - m.x3)**2 +
    40.4583182683705 * (0.213824861982886 - m.x4)**2 - m.x43 == 0)
m.e42 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x43)
    + 1.66666666666667 * m.x43) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x43)) - m.x44 == 0)
m.e43 = Constraint(expr= 19.6201106576326 * (0.868669074211383 - m.x3)**2 +
    40.4583182683705 * (0.713999332971928 - m.x4)**2 - m.x45 == 0)
m.e44 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x45)
    + 1.66666666666667 * m.x45) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x45)) - m.x46 == 0)
m.e45 = Constraint(expr= 19.6201106576326 * (0.100872983940184 - m.x3)**2 +
    40.4583182683705 * (0.876456772465024 - m.x4)**2 - m.x47 == 0)
m.e46 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x47)
    + 1.66666666666667 * m.x47) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x47)) - m.x48 == 0)
m.e47 = Constraint(expr= 19.6201106576326 * (0.160507966752362 - m.x3)**2 +
    40.4583182683705 * (0.671333533159986 - m.x4)**2 - m.x49 == 0)
m.e48 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x49)
    + 1.66666666666667 * m.x49) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x49)) - m.x50 == 0)
m.e49 = Constraint(expr= 19.6201106576326 * (0.174845079492285 - m.x3)**2 +
    40.4583182683705 * (0.174933461850037 - m.x4)**2 - m.x51 == 0)
m.e50 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x51)
    + 1.66666666666667 * m.x51) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x51)) - m.x52 == 0)
m.e51 = Constraint(expr= 19.6201106576326 * (0.285715225071541 - m.x3)**2 +
    40.4583182683705 * (0.389101225718371 - m.x4)**2 - m.x53 == 0)
m.e52 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x53)
    + 1.66666666666667 * m.x53) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x53)) - m.x54 == 0)
m.e53 = Constraint(expr= 19.6201106576326 * (0.216610696340541 - m.x3)**2 +
    40.4583182683705 * (0.374061818330203 - m.x4)**2 - m.x55 == 0)
m.e54 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x55)
    + 1.66666666666667 * m.x55) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x55)) - m.x56 == 0)
m.e55 = Constraint(expr= 19.6201106576326 * (0.5920970098103 - m.x3)**2 +
    40.4583182683705 * (0.896819702655309 - m.x4)**2 - m.x57 == 0)
m.e56 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x57)
    + 1.66666666666667 * m.x57) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x57)) - m.x58 == 0)
m.e57 = Constraint(expr= 19.6201106576326 * (0.956432844858346 - m.x3)**2 +
    40.4583182683705 * (0.964392512538353 - m.x4)**2 - m.x59 == 0)
m.e58 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x59)
    + 1.66666666666667 * m.x59) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x59)) - m.x60 == 0)
m.e59 = Constraint(expr= 19.6201106576326 * (0.744564705036913 - m.x3)**2 +
    40.4583182683705 * (0.505639230184061 - m.x4)**2 - m.x61 == 0)
m.e60 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x61)
    + 1.66666666666667 * m.x61) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x61)) - m.x62 == 0)
m.e61 = Constraint(expr= 19.6201106576326 * (0.325227222888816 - m.x3)**2 +
    40.4583182683705 * (0.201259092205688 - m.x4)**2 - m.x63 == 0)
m.e62 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x63)
    + 1.66666666666667 * m.x63) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x63)) - m.x64 == 0)
m.e63 = Constraint(expr= 19.6201106576326 * (0.386570918559707 - m.x3)**2 +
    40.4583182683705 * (0.663805306296134 - m.x4)**2 - m.x65 == 0)
m.e64 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x65)
    + 1.66666666666667 * m.x65) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x65)) - m.x66 == 0)
m.e65 = Constraint(expr= 19.6201106576326 * (0.94942138275704 - m.x3)**2 +
    40.4583182683705 * (0.446919746985353 - m.x4)**2 - m.x67 == 0)
m.e66 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x67)
    + 1.66666666666667 * m.x67) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x67)) - m.x68 == 0)
m.e67 = Constraint(expr= 19.6201106576326 * (0.00265650756791783 - m.x3)**2 +
    40.4583182683705 * (0.552017194794834 - m.x4)**2 - m.x69 == 0)
m.e68 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x69)
    + 1.66666666666667 * m.x69) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x69)) - m.x70 == 0)
m.e69 = Constraint(expr= 19.6201106576326 * (0.649065658109127 - m.x3)**2 +
    40.4583182683705 * (0.391092958894925 - m.x4)**2 - m.x71 == 0)
m.e70 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x71)
    + 1.66666666666667 * m.x71) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x71)) - m.x72 == 0)
m.e71 = Constraint(expr= 19.6201106576326 * (0.752625677361254 - m.x3)**2 +
    40.4583182683705 * (0.474421900201028 - m.x4)**2 - m.x73 == 0)
m.e72 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x73)
    + 1.66666666666667 * m.x73) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x73)) - m.x74 == 0)
m.e73 = Constraint(expr= 19.6201106576326 * (0.932944114995816 - m.x3)**2 +
    40.4583182683705 * (0.368601285295509 - m.x4)**2 - m.x75 == 0)
m.e74 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x75)
    + 1.66666666666667 * m.x75) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x75)) - m.x76 == 0)
m.e75 = Constraint(expr= 19.6201106576326 * (0.0197987981248721 - m.x3)**2 +
    40.4583182683705 * (0.245930545534257 - m.x4)**2 - m.x77 == 0)
m.e76 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x77)
    + 1.66666666666667 * m.x77) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x77)) - m.x78 == 0)
m.e77 = Constraint(expr= 19.6201106576326 * (0.769026185188662 - m.x3)**2 +
    40.4583182683705 * (0.486339957430933 - m.x4)**2 - m.x79 == 0)
m.e78 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x79)
    + 1.66666666666667 * m.x79) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x79)) - m.x80 == 0)
m.e79 = Constraint(expr= 19.6201106576326 * (0.964312478807674 - m.x3)**2 +
    40.4583182683705 * (0.233027119480037 - m.x4)**2 - m.x81 == 0)
m.e80 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x81)
    + 1.66666666666667 * m.x81) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x81)) - m.x82 == 0)
m.e81 = Constraint(expr= 19.6201106576326 * (0.423923808602885 - m.x3)**2 +
    40.4583182683705 * (0.458509823825938 - m.x4)**2 - m.x83 == 0)
m.e82 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x83)
    + 1.66666666666667 * m.x83) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x83)) - m.x84 == 0)
m.e83 = Constraint(expr= 19.6201106576326 * (0.854207993610184 - m.x3)**2 +
    40.4583182683705 * (0.0972157844954085 - m.x4)**2 - m.x85 == 0)
m.e84 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x85)
    + 1.66666666666667 * m.x85) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x85)) - m.x86 == 0)
m.e85 = Constraint(expr= 19.6201106576326 * (0.0866111737415755 - m.x3)**2 +
    40.4583182683705 * (0.422616771544244 - m.x4)**2 - m.x87 == 0)
m.e86 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x87)
    + 1.66666666666667 * m.x87) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x87)) - m.x88 == 0)
m.e87 = Constraint(expr= 19.6201106576326 * (0.612705324055941 - m.x3)**2 +
    40.4583182683705 * (0.560135620231484 - m.x4)**2 - m.x89 == 0)
m.e88 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x89)
    + 1.66666666666667 * m.x89) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x89)) - m.x90 == 0)
m.e89 = Constraint(expr= 19.6201106576326 * (0.848893031532009 - m.x3)**2 +
    40.4583182683705 * (0.221250268057618 - m.x4)**2 - m.x91 == 0)
m.e90 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x91)
    + 1.66666666666667 * m.x91) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x91)) - m.x92 == 0)
m.e91 = Constraint(expr= 19.6201106576326 * (0.912072548737684 - m.x3)**2 +
    40.4583182683705 * (0.027449627111323 - m.x4)**2 - m.x93 == 0)
m.e92 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x93)
    + 1.66666666666667 * m.x93) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x93)) - m.x94 == 0)
m.e93 = Constraint(expr= 19.6201106576326 * (0.891994688236021 - m.x3)**2 +
    40.4583182683705 * (0.0759826901839174 - m.x4)**2 - m.x95 == 0)
m.e94 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x95)
    + 1.66666666666667 * m.x95) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x95)) - m.x96 == 0)
m.e95 = Constraint(expr= 19.6201106576326 * (0.22120189691528 - m.x3)**2 +
    40.4583182683705 * (0.759683863248548 - m.x4)**2 - m.x97 == 0)
m.e96 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x97)
    + 1.66666666666667 * m.x97) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x97)) - m.x98 == 0)
m.e97 = Constraint(expr= 19.6201106576326 * (0.48647303917701 - m.x3)**2 +
    40.4583182683705 * (0.268273924566701 - m.x4)**2 - m.x99 == 0)
m.e98 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x99)
    + 1.66666666666667 * m.x99) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x99)) - m.x100 == 0)
m.e99 = Constraint(expr= 19.6201106576326 * (0.273974521869731 - m.x3)**2 +
    40.4583182683705 * (0.578137486538462 - m.x4)**2 - m.x101 == 0)
m.e100 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x101)
    + 1.66666666666667 * m.x101) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x101)) - m.x102 == 0)
m.e101 = Constraint(expr= 19.6201106576326 * (0.733448786698921 - m.x3)**2 +
    40.4583182683705 * (0.16348650934777 - m.x4)**2 - m.x103 == 0)
m.e102 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x103)
    + 1.66666666666667 * m.x103) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x103)) - m.x104 == 0)
m.e103 = Constraint(expr= 19.6201106576326 * (0.293349924152424 - m.x3)**2 +
    40.4583182683705 * (0.687270025553917 - m.x4)**2 - m.x105 == 0)
m.e104 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x105)
    + 1.66666666666667 * m.x105) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x105)) - m.x106 == 0)
m.e105 = Constraint(expr= 19.6201106576326 * (0.681319307041876 - m.x3)**2 +
    40.4583182683705 * (0.495907939573163 - m.x4)**2 - m.x107 == 0)
m.e106 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x107)
    + 1.66666666666667 * m.x107) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x107)) - m.x108 == 0)
m.e107 = Constraint(expr= 19.6201106576326 * (0.884830597977837 - m.x3)**2 +
    40.4583182683705 * (0.0558220505207711 - m.x4)**2 - m.x109 == 0)
m.e108 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x109)
    + 1.66666666666667 * m.x109) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x109)) - m.x110 == 0)
m.e109 = Constraint(expr= 19.6201106576326 * (0.550581288961839 - m.x3)**2 +
    40.4583182683705 * (0.825204342428317 - m.x4)**2 - m.x111 == 0)
m.e110 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x111)
    + 1.66666666666667 * m.x111) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x111)) - m.x112 == 0)
m.e111 = Constraint(expr= 19.6201106576326 * (0.145742110147004 - m.x3)**2 +
    40.4583182683705 * (0.887874149111678 - m.x4)**2 - m.x113 == 0)
m.e112 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x113)
    + 1.66666666666667 * m.x113) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x113)) - m.x114 == 0)
m.e113 = Constraint(expr= 19.6201106576326 * (0.664444857551067 - m.x3)**2 +
    40.4583182683705 * (0.619644969230408 - m.x4)**2 - m.x115 == 0)
m.e114 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x115)
    + 1.66666666666667 * m.x115) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x115)) - m.x116 == 0)
m.e115 = Constraint(expr= 19.6201106576326 * (0.577174879646415 - m.x3)**2 +
    40.4583182683705 * (0.652023373093265 - m.x4)**2 - m.x117 == 0)
m.e116 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x117)
    + 1.66666666666667 * m.x117) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x117)) - m.x118 == 0)
m.e117 = Constraint(expr= 19.6201106576326 * (0.0285609915535226 - m.x3)**2 +
    40.4583182683705 * (0.0172365689646424 - m.x4)**2 - m.x119 == 0)
m.e118 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x119)
    + 1.66666666666667 * m.x119) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x119)) - m.x120 == 0)
m.e119 = Constraint(expr= 19.6201106576326 * (0.239784592868809 - m.x3)**2 +
    40.4583182683705 * (0.740993101987497 - m.x4)**2 - m.x121 == 0)
m.e120 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x121)
    + 1.66666666666667 * m.x121) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x121)) - m.x122 == 0)
m.e121 = Constraint(expr= 19.6201106576326 * (0.404269209174319 - m.x3)**2 +
    40.4583182683705 * (0.511355166434789 - m.x4)**2 - m.x123 == 0)
m.e122 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x123)
    + 1.66666666666667 * m.x123) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x123)) - m.x124 == 0)
m.e123 = Constraint(expr= 19.6201106576326 * (0.455524109122716 - m.x3)**2 +
    40.4583182683705 * (0.924581782561569 - m.x4)**2 - m.x125 == 0)
m.e124 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x125)
    + 1.66666666666667 * m.x125) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x125)) - m.x126 == 0)
m.e125 = Constraint(expr= 19.6201106576326 * (0.516083695968459 - m.x3)**2 +
    40.4583182683705 * (0.0629407762591054 - m.x4)**2 - m.x127 == 0)
m.e126 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x127)
    + 1.66666666666667 * m.x127) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x127)) - m.x128 == 0)
m.e127 = Constraint(expr= 19.6201106576326 * (0.0448376486929695 - m.x3)**2 +
    40.4583182683705 * (0.153029022408953 - m.x4)**2 - m.x129 == 0)
m.e128 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x129)
    + 1.66666666666667 * m.x129) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x129)) - m.x130 == 0)
m.e129 = Constraint(expr= 19.6201106576326 * (0.564762895929878 - m.x3)**2 +
    40.4583182683705 * (0.944616444424944 - m.x4)**2 - m.x131 == 0)
m.e130 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x131)
    + 1.66666666666667 * m.x131) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x131)) - m.x132 == 0)
m.e131 = Constraint(expr= 19.6201106576326 * (0.443898701505148 - m.x3)**2 +
    40.4583182683705 * (0.303161718490791 - m.x4)**2 - m.x133 == 0)
m.e132 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x133)
    + 1.66666666666667 * m.x133) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x133)) - m.x134 == 0)
m.e133 = Constraint(expr= 19.6201106576326 * (0.692211891216269 - m.x3)**2 +
    40.4583182683705 * (0.797736896688745 - m.x4)**2 - m.x135 == 0)
m.e134 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x135)
    + 1.66666666666667 * m.x135) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x135)) - m.x136 == 0)
m.e135 = Constraint(expr= 19.6201106576326 * (0.494303734171884 - m.x3)**2 +
    40.4583182683705 * (0.534951587694652 - m.x4)**2 - m.x137 == 0)
m.e136 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x137)
    + 1.66666666666667 * m.x137) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x137)) - m.x138 == 0)
m.e137 = Constraint(expr= 19.6201106576326 * (0.541298902097622 - m.x3)**2 +
    40.4583182683705 * (0.932298392828667 - m.x4)**2 - m.x139 == 0)
m.e138 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x139)
    + 1.66666666666667 * m.x139) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x139)) - m.x140 == 0)
m.e139 = Constraint(expr= 19.6201106576326 * (0.357165248560784 - m.x3)**2 +
    40.4583182683705 * (0.976723864707925 - m.x4)**2 - m.x141 == 0)
m.e140 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x141)
    + 1.66666666666667 * m.x141) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x141)) - m.x142 == 0)
m.e141 = Constraint(expr= 19.6201106576326 * (0.205489753778211 - m.x3)**2 +
    40.4583182683705 * (0.527215593426171 - m.x4)**2 - m.x143 == 0)
m.e142 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x143)
    + 1.66666666666667 * m.x143) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x143)) - m.x144 == 0)
m.e143 = Constraint(expr= 19.6201106576326 * (0.364195377111947 - m.x3)**2 +
    40.4583182683705 * (0.838017689944174 - m.x4)**2 - m.x145 == 0)
m.e144 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x145)
    + 1.66666666666667 * m.x145) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x145)) - m.x146 == 0)
m.e145 = Constraint(expr= 19.6201106576326 * (0.708429430531505 - m.x3)**2 +
    40.4583182683705 * (0.334041203994477 - m.x4)**2 - m.x147 == 0)
m.e146 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x147)
    + 1.66666666666667 * m.x147) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x147)) - m.x148 == 0)
m.e147 = Constraint(expr= 19.6201106576326 * (0.78629650896495 - m.x3)**2 +
    40.4583182683705 * (0.727249984298437 - m.x4)**2 - m.x149 == 0)
m.e148 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x149)
    + 1.66666666666667 * m.x149) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x149)) - m.x150 == 0)
m.e149 = Constraint(expr= 19.6201106576326 * (0.265063384197875 - m.x3)**2 +
    40.4583182683705 * (0.867696619148044 - m.x4)**2 - m.x151 == 0)
m.e150 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x151)
    + 1.66666666666667 * m.x151) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x151)) - m.x152 == 0)
m.e151 = Constraint(expr= 19.6201106576326 * (0.342667959707229 - m.x3)**2 +
    40.4583182683705 * (0.346858798294088 - m.x4)**2 - m.x153 == 0)
m.e152 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x153)
    + 1.66666666666667 * m.x153) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x153)) - m.x154 == 0)
m.e153 = Constraint(expr= 19.6201106576326 * (0.726645889735597 - m.x3)**2 +
    40.4583182683705 * (0.786709742939206 - m.x4)**2 - m.x155 == 0)
m.e154 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x155)
    + 1.66666666666667 * m.x155) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x155)) - m.x156 == 0)
m.e155 = Constraint(expr= 19.6201106576326 * (0.908753819667235 - m.x3)**2 +
    40.4583182683705 * (0.7782091912312 - m.x4)**2 - m.x157 == 0)
m.e156 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x157)
    + 1.66666666666667 * m.x157) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x157)) - m.x158 == 0)
m.e157 = Constraint(expr= 19.6201106576326 * (0.117313555083334 - m.x3)**2 +
    40.4583182683705 * (0.278189461924838 - m.x4)**2 - m.x159 == 0)
m.e158 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x159)
    + 1.66666666666667 * m.x159) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x159)) - m.x160 == 0)
m.e159 = Constraint(expr= 19.6201106576326 * (0.413460893326292 - m.x3)**2 +
    40.4583182683705 * (0.594865743480795 - m.x4)**2 - m.x161 == 0)
m.e160 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x161)
    + 1.66666666666667 * m.x161) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x161)) - m.x162 == 0)
m.e161 = Constraint(expr= 19.6201106576326 * (0.183175383694082 - m.x3)**2 +
    40.4583182683705 * (0.98517786729995 - m.x4)**2 - m.x163 == 0)
m.e162 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x163)
    + 1.66666666666667 * m.x163) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x163)) - m.x164 == 0)
m.e163 = Constraint(expr= 19.6201106576326 * (0.434995519685955 - m.x3)**2 +
    40.4583182683705 * (0.587016915749571 - m.x4)**2 - m.x165 == 0)
m.e164 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x165)
    + 1.66666666666667 * m.x165) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x165)) - m.x166 == 0)
m.e165 = Constraint(expr= 19.6201106576326 * (0.074849076326074 - m.x3)**2 +
    40.4583182683705 * (0.737289796031188 - m.x4)**2 - m.x167 == 0)
m.e166 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x167)
    + 1.66666666666667 * m.x167) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x167)) - m.x168 == 0)
m.e167 = Constraint(expr= 19.6201106576326 * (0.198922773524273 - m.x3)**2 +
    40.4583182683705 * (0.853849045797167 - m.x4)**2 - m.x169 == 0)
m.e168 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x169)
    + 1.66666666666667 * m.x169) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x169)) - m.x170 == 0)
m.e169 = Constraint(expr= 19.6201106576326 * (0.332933347958517 - m.x3)**2 +
    40.4583182683705 * (0.95100770837416 - m.x4)**2 - m.x171 == 0)
m.e170 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x171)
    + 1.66666666666667 * m.x171) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x171)) - m.x172 == 0)
m.e171 = Constraint(expr= 19.6201106576326 * (0.631363152517753 - m.x3)**2 +
    40.4583182683705 * (0.438050962226213 - m.x4)**2 - m.x173 == 0)
m.e172 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x173)
    + 1.66666666666667 * m.x173) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x173)) - m.x174 == 0)
m.e173 = Constraint(expr= 19.6201106576326 * (0.0949450178781353 - m.x3)**2 +
    40.4583182683705 * (0.3207087433326 - m.x4)**2 - m.x175 == 0)
m.e174 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x175)
    + 1.66666666666667 * m.x175) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x175)) - m.x176 == 0)
m.e175 = Constraint(expr= 19.6201106576326 * (0.811141588829345 - m.x3)**2 +
    40.4583182683705 * (0.403851907127018 - m.x4)**2 - m.x177 == 0)
m.e176 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x177)
    + 1.66666666666667 * m.x177) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x177)) - m.x178 == 0)
m.e177 = Constraint(expr= 19.6201106576326 * (0.538821717250912 - m.x3)**2 +
    40.4583182683705 * (0.108191078958746 - m.x4)**2 - m.x179 == 0)
m.e178 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x179)
    + 1.66666666666667 * m.x179) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x179)) - m.x180 == 0)
m.e179 = Constraint(expr= 19.6201106576326 * (0.822652976366767 - m.x3)**2 +
    40.4583182683705 * (0.318400841118104 - m.x4)**2 - m.x181 == 0)
m.e180 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x181)
    + 1.66666666666667 * m.x181) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x181)) - m.x182 == 0)
m.e181 = Constraint(expr= 19.6201106576326 * (0.377855094496717 - m.x3)**2 +
    40.4583182683705 * (0.817669351412261 - m.x4)**2 - m.x183 == 0)
m.e182 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x183)
    + 1.66666666666667 * m.x183) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x183)) - m.x184 == 0)
m.e183 = Constraint(expr= 19.6201106576326 * (0.791607276319391 - m.x3)**2 +
    40.4583182683705 * (0.466689756943249 - m.x4)**2 - m.x185 == 0)
m.e184 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x185)
    + 1.66666666666667 * m.x185) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x185)) - m.x186 == 0)
m.e185 = Constraint(expr= 19.6201106576326 * (0.476668520345214 - m.x3)**2 +
    40.4583182683705 * (0.354713551343703 - m.x4)**2 - m.x187 == 0)
m.e186 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x187)
    + 1.66666666666667 * m.x187) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x187)) - m.x188 == 0)
m.e187 = Constraint(expr= 19.6201106576326 * (0.308529934759943 - m.x3)**2 +
    40.4583182683705 * (0.414184726086856 - m.x4)**2 - m.x189 == 0)
m.e188 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x189)
    + 1.66666666666667 * m.x189) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x189)) - m.x190 == 0)
m.e189 = Constraint(expr= 19.6201106576326 * (0.984324175397362 - m.x3)**2 +
    40.4583182683705 * (0.123289956621765 - m.x4)**2 - m.x191 == 0)
m.e190 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x191)
    + 1.66666666666667 * m.x191) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x191)) - m.x192 == 0)
m.e191 = Constraint(expr= 19.6201106576326 * (0.245909549640963 - m.x3)**2 +
    40.4583182683705 * (0.117334449988445 - m.x4)**2 - m.x193 == 0)
m.e192 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x193)
    + 1.66666666666667 * m.x193) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x193)) - m.x194 == 0)
m.e193 = Constraint(expr= 19.6201106576326 * (0.993716625482424 - m.x3)**2 +
    40.4583182683705 * (0.844917725508104 - m.x4)**2 - m.x195 == 0)
m.e194 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x195)
    + 1.66666666666667 * m.x195) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x195)) - m.x196 == 0)
m.e195 = Constraint(expr= 19.6201106576326 * (0.622641599216787 - m.x3)**2 +
    40.4583182683705 * (0.0469351443733001 - m.x4)**2 - m.x197 == 0)
m.e196 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x197)
    + 1.66666666666667 * m.x197) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x197)) - m.x198 == 0)
m.e197 = Constraint(expr= 19.6201106576326 * (0.0390389585642251 - m.x3)**2 +
    40.4583182683705 * (0.760465288841365 - m.x4)**2 - m.x199 == 0)
m.e198 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x199)
    + 1.66666666666667 * m.x199) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x199)) - m.x200 == 0)
m.e199 = Constraint(expr= 19.6201106576326 * (0.0550869735721871 - m.x3)**2 +
    40.4583182683705 * (0.703590766264295 - m.x4)**2 - m.x201 == 0)
m.e200 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x201)
    + 1.66666666666667 * m.x201) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x201)) - m.x202 == 0)
m.e201 = Constraint(expr= 19.6201106576326 * (0.770647547227112 - m.x3)**2 +
    40.4583182683705 * (0.143538885593233 - m.x4)**2 - m.x203 == 0)
m.e202 = Constraint(expr= (0.528747399043267 * (2.23606797749979 * sqrt(m.x203)
    + 1.66666666666667 * m.x203) + 0.528747399043267) * exp(-2.23606797749979
    * sqrt(m.x203)) - m.x204 == 0)
m.e203 = Constraint(expr= -0.182933840574275 * m.x6 - 0.258375690953221 * m.x8
    + 0.0136122459492268 * m.x10 - 0.254317299688475 * m.x12 -
    1.72914748598619 * m.x14 + 0.0401991783404903 * m.x16 - 0.184591212754217 *
    m.x18 + 0.520259160969762 * m.x20 - 1.2233737728867 * m.x22 +
    0.0126752438724126 * m.x24 - 0.0511953360099554 * m.x26 + 0.254156572025371
    * m.x28 + 0.156337402844952 * m.x30 + 0.0809472061313184 * m.x32 -
    1.64008485239816 * m.x34 - 0.023961568170673 * m.x36 + 0.0272592478939324 *
    m.x38 - 0.109665372232369 * m.x40 + 0.223793212846333 * m.x42 -
    0.389361763958776 * m.x44 - 0.274385123906661 * m.x46 - 0.0688761686964344
    * m.x48 - 0.0613933558184358 * m.x50 + 0.087197784582455 * m.x52 -
    0.0645580279870866 * m.x54 - 0.278919254245773 * m.x56 + 0.0557357797303535
    * m.x58 - 0.0785617420493119 * m.x60 + 0.696842911744125 * m.x62 +
    0.329347504387466 * m.x64 + 0.450541608706639 * m.x66 - 0.441989869404116 *
    m.x68 + 0.126158865730648 * m.x70 + 0.20670484328048 * m.x72 +
    0.647571059794983 * m.x74 - 0.291485770962819 * m.x76 - 0.0575180312993872
    * m.x78 + 0.479419229658308 * m.x80 - 0.0741415778431238 * m.x82 +
    1.10520079389947 * m.x84 + 0.0864953039291684 * m.x86 +
    0.000806543622023244 * m.x88 - 0.548469754087263 * m.x90 +
    0.133175185806227 * m.x92 - 0.0615455000248571 * m.x94 +
    0.00295426291516425 * m.x96 - 0.114675056256521 * m.x98 - 1.52936676831272
    * m.x100 - 1.36377801076615 * m.x102 + 0.277986565904696 * m.x104 -
    0.220778756040578 * m.x106 + 0.673579672644263 * m.x108 -
    0.00815289633304084 * m.x110 + 1.8847598526994 * m.x112 - 0.110097994376591
    * m.x114 + 0.115494049697011 * m.x116 + 0.149972090269243 * m.x118 -
    0.0849851027378783 * m.x120 - 0.0985578252230923 * m.x122 +
    0.151554038808426 * m.x124 + 0.000866204254118116 * m.x126 +
    0.0964683366588659 * m.x128 - 0.0647390275036913 * m.x130 -
    0.261881497906859 * m.x132 + 0.356769079965463 * m.x134 + 0.171425484506281
    * m.x136 - 0.355790036290457 * m.x138 - 0.127874548811201 * m.x140 -
    0.232347098869325 * m.x142 - 0.88173725751002 * m.x144 + 0.626944255802698
    * m.x146 + 0.311018780677634 * m.x148 - 0.227829691963433 * m.x150 -
    0.205785035940163 * m.x152 + 1.2839257885319 * m.x154 - 0.088757429022035 *
    m.x156 - 0.181261777570689 * m.x158 - 0.0109399618807929 * m.x160 -
    0.219880785383143 * m.x162 - 0.0784940149624078 * m.x164 -
    0.133516735303469 * m.x166 + 0.0194394261618568 * m.x168 -
    0.187437564829189 * m.x170 - 0.233053498035817 * m.x172 +
    0.0132786485923555 * m.x174 - 0.0283449234835788 * m.x176 +
    0.0654909239063079 * m.x178 - 0.337834757325268 * m.x180 +
    0.075295926581527 * m.x182 + 1.12238983774028 * m.x184 + 0.231202223830195
    * m.x186 + 0.994812069872737 * m.x188 - 0.148961022610842 * m.x190 -
    0.0686403643176423 * m.x192 + 0.198430623784632 * m.x194 -
    0.0468503032283778 * m.x196 + 0.226337047268603 * m.x198 -
    0.00154381283468628 * m.x200 + 0.0604034275627598 * m.x202 +
    0.300154544626091 * m.x204 - m.x205 == 0)
m.e204 = Constraint(expr= 1.68132371362997 * m.x205 - m.x206
    == -0.31590138750578)
