# NLP written by GAMS Convert at 02/17/22 17:18:21
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#        77       67       10        0        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#        86       86        0        0        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#       598      158      440
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.x1 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x2 = Var(within=Reals, bounds=(0,1e+04), initialize=1)
m.x3 = Var(within=Reals, bounds=(0,1e+04), initialize=1)
m.x4 = Var(within=Reals, bounds=(0,1e+04), initialize=1)
m.x5 = Var(within=Reals, bounds=(0,1e+04), initialize=1)
m.x6 = Var(within=Reals, bounds=(0,1e+04), initialize=1)
m.x7 = Var(within=Reals, bounds=(0,1e+04), initialize=1)
m.x8 = Var(within=Reals, bounds=(0,1e+04), initialize=1)
m.x9 = Var(within=Reals, bounds=(0,1e+04), initialize=1)
m.x10 = Var(within=Reals, bounds=(0,1e+04), initialize=1)
m.x11 = Var(within=Reals, bounds=(0,1e+04), initialize=1)
m.x12 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x13 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x14 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x15 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x16 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x17 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x18 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x19 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x20 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x21 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x22 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x23 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x24 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x25 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x26 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x27 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x28 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x29 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x30 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x31 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x32 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x33 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x34 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x35 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x36 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x37 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x38 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x39 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x40 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x41 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x42 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x43 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x44 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x45 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x46 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x47 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x48 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x49 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x50 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x51 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x52 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x53 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x54 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x55 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x56 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x57 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x58 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x59 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x60 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x61 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x62 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x63 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x64 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x65 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x66 = Var(within=Reals, bounds=(0,1), initialize=0.01)
m.x67 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x68 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x69 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x70 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x71 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x72 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x73 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x74 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x75 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x76 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x77 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x78 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x79 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x80 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x81 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x82 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x83 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x84 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x85 = Var(within=Reals, bounds=(0,1000), initialize=0)
m.x86 = Var(within=Reals, bounds=(0,1000), initialize=0)

m.obj = Objective(sense=minimize, expr= m.x67 + m.x68 + m.x69 + m.x70 + m.x71
    + m.x72 + m.x73 + m.x74 + m.x75 + m.x76 + m.x77 + m.x78 + m.x79 + m.x80 +
    m.x81 + m.x82 + m.x83 + m.x84 + m.x85 + m.x86)

m.e1 = Constraint(expr= -m.x12 * (0.299999999999999 * m.x2 + 0.420042004200419
    * m.x3 + 0.441069311972204 * m.x4 + 0.411670573863023 * m.x5 +
    0.360201456247447 * m.x6 + 0.30254760034903 * m.x7 + 0.247052285556172 *
    m.x8 + 0.197610748687493 * m.x9 + 0.15558731597959 * m.x10 +
    0.120982941684104 * m.x11) + 0.299999999999999 * m.x2 == 0)
m.e2 = Constraint(expr= -m.x13 * (0.299999999999999 * m.x2 + 0.420042004200419
    * m.x3 + 0.441069311972204 * m.x4 + 0.411670573863023 * m.x5 +
    0.360201456247447 * m.x6 + 0.30254760034903 * m.x7 + 0.247052285556172 *
    m.x8 + 0.197610748687493 * m.x9 + 0.15558731597959 * m.x10 +
    0.120982941684104 * m.x11) + 0.420042004200419 * m.x3 == 0)
m.e3 = Constraint(expr= -m.x14 * (0.0899789978997899 * m.x3 + 0.188993694328424
    * m.x4 + 0.264632763149874 * m.x5 + 0.308773522162667 * m.x6 +
    0.324235367869763 * m.x7 + 0.317759744553093 * m.x8 + 0.296571521818452 *
    m.x9 + 0.266899105175344 * m.x10 + 0.233513342319487 * m.x11) +
    0.0899789978997899 * m.x3 == 0)
m.e4 = Constraint(expr= -m.x15 * (0.299999999999999 * m.x2 + 0.420042004200419
    * m.x3 + 0.441069311972204 * m.x4 + 0.411670573863023 * m.x5 +
    0.360201456247447 * m.x6 + 0.30254760034903 * m.x7 + 0.247052285556172 *
    m.x8 + 0.197610748687493 * m.x9 + 0.15558731597959 * m.x10 +
    0.120982941684104 * m.x11) + 0.441069311972204 * m.x4 == 0)
m.e5 = Constraint(expr= -m.x16 * (0.0899789978997899 * m.x3 + 0.188993694328424
    * m.x4 + 0.264632763149874 * m.x5 + 0.308773522162667 * m.x6 +
    0.324235367869763 * m.x7 + 0.317759744553093 * m.x8 + 0.296571521818452 *
    m.x9 + 0.266899105175344 * m.x10 + 0.233513342319487 * m.x11) +
    0.188993694328424 * m.x4 == 0)
m.e6 = Constraint(expr= -m.x17 * (0.026981099790315 * m.x4 + 0.0755697503379837
    * m.x5 + 0.132281083087121 * m.x6 + 0.185233220498984 * m.x7 +
    0.22694961744096 * m.x8 + 0.25421627517133 * m.x9 + 0.266949986712887 *
    m.x10 + 0.266961437732522 * m.x11) + 0.026981099790315 * m.x4 == 0)
m.e7 = Constraint(expr= -m.x18 * (0.299999999999999 * m.x2 + 0.420042004200419
    * m.x3 + 0.441069311972204 * m.x4 + 0.411670573863023 * m.x5 +
    0.360201456247447 * m.x6 + 0.30254760034903 * m.x7 + 0.247052285556172 *
    m.x8 + 0.197610748687493 * m.x9 + 0.15558731597959 * m.x10 +
    0.120982941684104 * m.x11) + 0.411670573863023 * m.x5 == 0)
m.e8 = Constraint(expr= -m.x19 * (0.0899789978997899 * m.x3 + 0.188993694328424
    * m.x4 + 0.264632763149874 * m.x5 + 0.308773522162667 * m.x6 +
    0.324235367869763 * m.x7 + 0.317759744553093 * m.x8 + 0.296571521818452 *
    m.x9 + 0.266899105175344 * m.x10 + 0.233513342319487 * m.x11) +
    0.264632763149874 * m.x5 == 0)
m.e9 = Constraint(expr= -m.x20 * (0.026981099790315 * m.x4 + 0.0755697503379837
    * m.x5 + 0.132281083087121 * m.x6 + 0.185233220498984 * m.x7 +
    0.22694961744096 * m.x8 + 0.25421627517133 * m.x9 + 0.266949986712887 *
    m.x10 + 0.266961437732522 * m.x11) + 0.0755697503379837 * m.x5 == 0)
m.e10 = Constraint(expr= -m.x21 * (0.00808866220581916 * m.x5 +
    0.0283216463789187 * m.x6 + 0.0594967092564436 * m.x7 + 0.0972085184322643
    * m.x8 + 0.136128890917752 * m.x9 + 0.171561639066158 * m.x10 +
    0.200192450750305 * m.x11) + 0.00808866220581916 * m.x5 == 0)
m.e11 = Constraint(expr= -m.x22 * (0.299999999999999 * m.x2 + 0.420042004200419
    * m.x3 + 0.441069311972204 * m.x4 + 0.411670573863023 * m.x5 +
    0.360201456247447 * m.x6 + 0.30254760034903 * m.x7 + 0.247052285556172 *
    m.x8 + 0.197610748687493 * m.x9 + 0.15558731597959 * m.x10 +
    0.120982941684104 * m.x11) + 0.360201456247447 * m.x6 == 0)
m.e12 = Constraint(expr= -m.x23 * (0.0899789978997899 * m.x3 +
    0.188993694328424 * m.x4 + 0.264632763149874 * m.x5 + 0.308773522162667 *
    m.x6 + 0.324235367869763 * m.x7 + 0.317759744553093 * m.x8 +
    0.296571521818452 * m.x9 + 0.266899105175344 * m.x10 + 0.233513342319487 *
    m.x11) + 0.308773522162667 * m.x6 == 0)
m.e13 = Constraint(expr= -m.x24 * (0.026981099790315 * m.x4 +
    0.0755697503379837 * m.x5 + 0.132281083087121 * m.x6 + 0.185233220498984 *
    m.x7 + 0.22694961744096 * m.x8 + 0.25421627517133 * m.x9 +
    0.266949986712887 * m.x10 + 0.266961437732522 * m.x11) + 0.132281083087121
    * m.x6 == 0)
m.e14 = Constraint(expr= -m.x25 * (0.00808866220581916 * m.x5 +
    0.0283216463789187 * m.x6 + 0.0594967092564436 * m.x7 + 0.0972085184322643
    * m.x8 + 0.136128890917752 * m.x9 + 0.171561639066158 * m.x10 +
    0.200192450750305 * m.x11) + 0.0283216463789187 * m.x6 == 0)
m.e15 = Constraint(expr= -m.x26 * (0.00242433293003544 * m.x6 +
    0.0101872919521249 * m.x7 + 0.0249702818996627 * m.x8 + 0.0466305167574201
    * m.x9 + 0.0734703645857939 * m.x10 + 0.102892337231952 * m.x11) +
    0.00242433293003544 * m.x6 == 0)
m.e16 = Constraint(expr= -m.x27 * (0.299999999999999 * m.x2 + 0.420042004200419
    * m.x3 + 0.441069311972204 * m.x4 + 0.411670573863023 * m.x5 +
    0.360201456247447 * m.x6 + 0.30254760034903 * m.x7 + 0.247052285556172 *
    m.x8 + 0.197610748687493 * m.x9 + 0.15558731597959 * m.x10 +
    0.120982941684104 * m.x11) + 0.30254760034903 * m.x7 == 0)
m.e17 = Constraint(expr= -m.x28 * (0.0899789978997899 * m.x3 +
    0.188993694328424 * m.x4 + 0.264632763149874 * m.x5 + 0.308773522162667 *
    m.x6 + 0.324235367869763 * m.x7 + 0.317759744553093 * m.x8 +
    0.296571521818452 * m.x9 + 0.266899105175344 * m.x10 + 0.233513342319487 *
    m.x11) + 0.324235367869763 * m.x7 == 0)
m.e18 = Constraint(expr= -m.x29 * (0.026981099790315 * m.x4 +
    0.0755697503379837 * m.x5 + 0.132281083087121 * m.x6 + 0.185233220498984 *
    m.x7 + 0.22694961744096 * m.x8 + 0.25421627517133 * m.x9 +
    0.266949986712887 * m.x10 + 0.266961437732522 * m.x11) + 0.185233220498984
    * m.x7 == 0)
m.e19 = Constraint(expr= -m.x30 * (0.00808866220581916 * m.x5 +
    0.0283216463789187 * m.x6 + 0.0594967092564436 * m.x7 + 0.0972085184322643
    * m.x8 + 0.136128890917752 * m.x9 + 0.171561639066158 * m.x10 +
    0.200192450750305 * m.x11) + 0.0594967092564436 * m.x7 == 0)
m.e20 = Constraint(expr= -m.x31 * (0.00242433293003544 * m.x6 +
    0.0101872919521249 * m.x7 + 0.0249702818996627 * m.x8 + 0.0466305167574201
    * m.x9 + 0.0734703645857939 * m.x10 + 0.102892337231952 * m.x11) +
    0.0101872919521249 * m.x7 == 0)
m.e21 = Constraint(expr= -m.x32 * (0.000726450938014618 * m.x7 +
    0.00356174664425821 * m.x8 + 0.0099784508208397 * m.x9 + 0.0209655320789341
    * m.x10 + 0.0367069932830306 * m.x11) + 0.000726450938014618 * m.x7 == 0)
m.e22 = Constraint(expr= -m.x33 * (0.299999999999999 * m.x2 + 0.420042004200419
    * m.x3 + 0.441069311972204 * m.x4 + 0.411670573863023 * m.x5 +
    0.360201456247447 * m.x6 + 0.30254760034903 * m.x7 + 0.247052285556172 *
    m.x8 + 0.197610748687493 * m.x9 + 0.15558731597959 * m.x10 +
    0.120982941684104 * m.x11) + 0.247052285556172 * m.x8 == 0)
m.e23 = Constraint(expr= -m.x34 * (0.0899789978997899 * m.x3 +
    0.188993694328424 * m.x4 + 0.264632763149874 * m.x5 + 0.308773522162667 *
    m.x6 + 0.324235367869763 * m.x7 + 0.317759744553093 * m.x8 +
    0.296571521818452 * m.x9 + 0.266899105175344 * m.x10 + 0.233513342319487 *
    m.x11) + 0.317759744553093 * m.x8 == 0)
m.e24 = Constraint(expr= -m.x35 * (0.026981099790315 * m.x4 +
    0.0755697503379837 * m.x5 + 0.132281083087121 * m.x6 + 0.185233220498984 *
    m.x7 + 0.22694961744096 * m.x8 + 0.25421627517133 * m.x9 +
    0.266949986712887 * m.x10 + 0.266961437732522 * m.x11) + 0.22694961744096 *
    m.x8 == 0)
m.e25 = Constraint(expr= -m.x36 * (0.00808866220581916 * m.x5 +
    0.0283216463789187 * m.x6 + 0.0594967092564436 * m.x7 + 0.0972085184322643
    * m.x8 + 0.136128890917752 * m.x9 + 0.171561639066158 * m.x10 +
    0.200192450750305 * m.x11) + 0.0972085184322643 * m.x8 == 0)
m.e26 = Constraint(expr= -m.x37 * (0.00242433293003544 * m.x6 +
    0.0101872919521249 * m.x7 + 0.0249702818996627 * m.x8 + 0.0466305167574201
    * m.x9 + 0.0734703645857939 * m.x10 + 0.102892337231952 * m.x11) +
    0.0249702818996627 * m.x8 == 0)
m.e27 = Constraint(expr= -m.x38 * (0.000726450938014618 * m.x7 +
    0.00356174664425821 * m.x8 + 0.0099784508208397 * m.x9 + 0.0209655320789341
    * m.x10 + 0.0367069932830306 * m.x11) + 0.00356174664425821 * m.x8 == 0)
m.e28 = Constraint(expr= -m.x39 * (0.000217629988834878 * m.x8 +
    0.00121958164462655 * m.x9 + 0.00384420873582218 * m.x10 +
    0.00897533537960286 * m.x11) + 0.000217629988834878 * m.x8 == 0)
m.e29 = Constraint(expr= -m.x40 * (0.299999999999999 * m.x2 + 0.420042004200419
    * m.x3 + 0.441069311972204 * m.x4 + 0.411670573863023 * m.x5 +
    0.360201456247447 * m.x6 + 0.30254760034903 * m.x7 + 0.247052285556172 *
    m.x8 + 0.197610748687493 * m.x9 + 0.15558731597959 * m.x10 +
    0.120982941684104 * m.x11) + 0.197610748687493 * m.x9 == 0)
m.e30 = Constraint(expr= -m.x41 * (0.0899789978997899 * m.x3 +
    0.188993694328424 * m.x4 + 0.264632763149874 * m.x5 + 0.308773522162667 *
    m.x6 + 0.324235367869763 * m.x7 + 0.317759744553093 * m.x8 +
    0.296571521818452 * m.x9 + 0.266899105175344 * m.x10 + 0.233513342319487 *
    m.x11) + 0.296571521818452 * m.x9 == 0)
m.e31 = Constraint(expr= -m.x42 * (0.026981099790315 * m.x4 +
    0.0755697503379837 * m.x5 + 0.132281083087121 * m.x6 + 0.185233220498984 *
    m.x7 + 0.22694961744096 * m.x8 + 0.25421627517133 * m.x9 +
    0.266949986712887 * m.x10 + 0.266961437732522 * m.x11) + 0.25421627517133 *
    m.x9 == 0)
m.e32 = Constraint(expr= -m.x43 * (0.00808866220581916 * m.x5 +
    0.0283216463789187 * m.x6 + 0.0594967092564436 * m.x7 + 0.0972085184322643
    * m.x8 + 0.136128890917752 * m.x9 + 0.171561639066158 * m.x10 +
    0.200192450750305 * m.x11) + 0.136128890917752 * m.x9 == 0)
m.e33 = Constraint(expr= -m.x44 * (0.00242433293003544 * m.x6 +
    0.0101872919521249 * m.x7 + 0.0249702818996627 * m.x8 + 0.0466305167574201
    * m.x9 + 0.0734703645857939 * m.x10 + 0.102892337231952 * m.x11) +
    0.0466305167574201 * m.x9 == 0)
m.e34 = Constraint(expr= -m.x45 * (0.000726450938014618 * m.x7 +
    0.00356174664425821 * m.x8 + 0.0099784508208397 * m.x9 + 0.0209655320789341
    * m.x10 + 0.0367069932830306 * m.x11) + 0.0099784508208397 * m.x9 == 0)
m.e35 = Constraint(expr= -m.x46 * (0.000217629988834878 * m.x8 +
    0.00121958164462655 * m.x9 + 0.00384420873582218 * m.x10 +
    0.00897533537960286 * m.x11) + 0.00121958164462655 * m.x9 == 0)
m.e36 = Constraint(expr= -m.x47 * (6.51822832565586e-05 * m.x9 +
    0.000410977166249314 * m.x10 + 0.00143951015242667 * m.x11) +
    6.51822832565586e-05 * m.x9 == 0)
m.e37 = Constraint(expr= -m.x48 * (0.299999999999999 * m.x2 + 0.420042004200419
    * m.x3 + 0.441069311972204 * m.x4 + 0.411670573863023 * m.x5 +
    0.360201456247447 * m.x6 + 0.30254760034903 * m.x7 + 0.247052285556172 *
    m.x8 + 0.197610748687493 * m.x9 + 0.15558731597959 * m.x10 +
    0.120982941684104 * m.x11) + 0.15558731597959 * m.x10 == 0)
m.e38 = Constraint(expr= -m.x49 * (0.0899789978997899 * m.x3 +
    0.188993694328424 * m.x4 + 0.264632763149874 * m.x5 + 0.308773522162667 *
    m.x6 + 0.324235367869763 * m.x7 + 0.317759744553093 * m.x8 +
    0.296571521818452 * m.x9 + 0.266899105175344 * m.x10 + 0.233513342319487 *
    m.x11) + 0.266899105175344 * m.x10 == 0)
m.e39 = Constraint(expr= -m.x50 * (0.026981099790315 * m.x4 +
    0.0755697503379837 * m.x5 + 0.132281083087121 * m.x6 + 0.185233220498984 *
    m.x7 + 0.22694961744096 * m.x8 + 0.25421627517133 * m.x9 +
    0.266949986712887 * m.x10 + 0.266961437732522 * m.x11) + 0.266949986712887
    * m.x10 == 0)
m.e40 = Constraint(expr= -m.x51 * (0.00808866220581916 * m.x5 +
    0.0283216463789187 * m.x6 + 0.0594967092564436 * m.x7 + 0.0972085184322643
    * m.x8 + 0.136128890917752 * m.x9 + 0.171561639066158 * m.x10 +
    0.200192450750305 * m.x11) + 0.171561639066158 * m.x10 == 0)
m.e41 = Constraint(expr= -m.x52 * (0.00242433293003544 * m.x6 +
    0.0101872919521249 * m.x7 + 0.0249702818996627 * m.x8 + 0.0466305167574201
    * m.x9 + 0.0734703645857939 * m.x10 + 0.102892337231952 * m.x11) +
    0.0734703645857939 * m.x10 == 0)
m.e42 = Constraint(expr= -m.x53 * (0.000726450938014618 * m.x7 +
    0.00356174664425821 * m.x8 + 0.0099784508208397 * m.x9 + 0.0209655320789341
    * m.x10 + 0.0367069932830306 * m.x11) + 0.0209655320789341 * m.x10 == 0)
m.e43 = Constraint(expr= -m.x54 * (0.000217629988834878 * m.x8 +
    0.00121958164462655 * m.x9 + 0.00384420873582218 * m.x10 +
    0.00897533537960286 * m.x11) + 0.00384420873582218 * m.x10 == 0)
m.e44 = Constraint(expr= -m.x55 * (6.51822832565586e-05 * m.x9 +
    0.000410977166249314 * m.x10 + 0.00143951015242667 * m.x11) +
    0.000410977166249314 * m.x10 == 0)
m.e45 = Constraint(expr= -m.x56 * (1.95181536733007e-05 * m.x10 +
    0.000136750150848869 * m.x11) + 1.95181536733007e-05 * m.x10 == 0)
m.e46 = Constraint(expr= -m.x57 * (0.299999999999999 * m.x2 + 0.420042004200419
    * m.x3 + 0.441069311972204 * m.x4 + 0.411670573863023 * m.x5 +
    0.360201456247447 * m.x6 + 0.30254760034903 * m.x7 + 0.247052285556172 *
    m.x8 + 0.197610748687493 * m.x9 + 0.15558731597959 * m.x10 +
    0.120982941684104 * m.x11) + 0.120982941684104 * m.x11 == 0)
m.e47 = Constraint(expr= -m.x58 * (0.0899789978997899 * m.x3 +
    0.188993694328424 * m.x4 + 0.264632763149874 * m.x5 + 0.308773522162667 *
    m.x6 + 0.324235367869763 * m.x7 + 0.317759744553093 * m.x8 +
    0.296571521818452 * m.x9 + 0.266899105175344 * m.x10 + 0.233513342319487 *
    m.x11) + 0.233513342319487 * m.x11 == 0)
m.e48 = Constraint(expr= -m.x59 * (0.026981099790315 * m.x4 +
    0.0755697503379837 * m.x5 + 0.132281083087121 * m.x6 + 0.185233220498984 *
    m.x7 + 0.22694961744096 * m.x8 + 0.25421627517133 * m.x9 +
    0.266949986712887 * m.x10 + 0.266961437732522 * m.x11) + 0.266961437732522
    * m.x11 == 0)
m.e49 = Constraint(expr= -m.x60 * (0.00808866220581916 * m.x5 +
    0.0283216463789187 * m.x6 + 0.0594967092564436 * m.x7 + 0.0972085184322643
    * m.x8 + 0.136128890917752 * m.x9 + 0.171561639066158 * m.x10 +
    0.200192450750305 * m.x11) + 0.200192450750305 * m.x11 == 0)
m.e50 = Constraint(expr= -m.x61 * (0.00242433293003544 * m.x6 +
    0.0101872919521249 * m.x7 + 0.0249702818996627 * m.x8 + 0.0466305167574201
    * m.x9 + 0.0734703645857939 * m.x10 + 0.102892337231952 * m.x11) +
    0.102892337231952 * m.x11 == 0)
m.e51 = Constraint(expr= -m.x62 * (0.000726450938014618 * m.x7 +
    0.00356174664425821 * m.x8 + 0.0099784508208397 * m.x9 + 0.0209655320789341
    * m.x10 + 0.0367069932830306 * m.x11) + 0.0367069932830306 * m.x11 == 0)
m.e52 = Constraint(expr= -m.x63 * (0.000217629988834878 * m.x8 +
    0.00121958164462655 * m.x9 + 0.00384420873582218 * m.x10 +
    0.00897533537960286 * m.x11) + 0.00897533537960286 * m.x11 == 0)
m.e53 = Constraint(expr= -m.x64 * (6.51822832565586e-05 * m.x9 +
    0.000410977166249314 * m.x10 + 0.00143951015242667 * m.x11) +
    0.00143951015242667 * m.x11 == 0)
m.e54 = Constraint(expr= -m.x65 * (1.95181536733007e-05 * m.x10 +
    0.000136750150848869 * m.x11) + 0.000136750150848869 * m.x11 == 0)
m.e55 = Constraint(expr= -5.84313858841381e-06 * m.x66 * m.x11 +
    5.84313858841381e-06 * m.x11 == 0)
m.e56 = Constraint(expr= 0.300000000000001 * m.x2 - 424 * m.x12 - m.x67 + m.x77
    == 0)
m.e57 = Constraint(expr= 0.510021002100211 * m.x3 - 424 * m.x13 - 208 * m.x14
    - m.x68 + m.x78 == 0)
m.e58 = Constraint(expr= 0.657044106090946 * m.x4 - 424 * m.x15 - 208 * m.x16
    - 243 * m.x17 - m.x69 + m.x79 == 0)
m.e59 = Constraint(expr= 0.7599617495567 * m.x5 - 424 * m.x18 - 208 * m.x19 -
    243 * m.x20 - 191 * m.x21 - m.x70 + m.x80 == 0)
m.e60 = Constraint(expr= 0.83200204080619 * m.x6 - 424 * m.x22 - 208 * m.x23 -
    243 * m.x24 - 191 * m.x25 - 79 * m.x26 - m.x71 + m.x81 == 0)
m.e61 = Constraint(expr= 0.882426640864363 * m.x7 - 424 * m.x27 - 208 * m.x28
    - 243 * m.x29 - 191 * m.x30 - 79 * m.x31 - 31 * m.x32 - m.x72 + m.x82
    == 0)
m.e62 = Constraint(expr= 0.917719824515245 * m.x8 - 424 * m.x33 - 208 * m.x34
    - 243 * m.x35 - 191 * m.x36 - 79 * m.x37 - 31 * m.x38 - 10 * m.x39 - m.x73
    + m.x83 == 0)
m.e63 = Constraint(expr= 0.942421168101182 * m.x9 - 424 * m.x40 - 208 * m.x41
    - 243 * m.x42 - 191 * m.x43 - 79 * m.x44 - 31 * m.x45 - 10 * m.x46 - 2 *
    m.x47 - m.x74 + m.x84 == 0)
m.e64 = Constraint(expr= 0.959708647654471 * m.x10 - 424 * m.x48 - 208 * m.x49
    - 243 * m.x50 - 191 * m.x51 - 79 * m.x52 - 31 * m.x53 - 10 * m.x54 - 2 *
    m.x55 - m.x75 + m.x85 == 0)
m.e65 = Constraint(expr= 0.971806941822881 * m.x11 - 424 * m.x57 - 208 * m.x58
    - 243 * m.x59 - 191 * m.x60 - 79 * m.x61 - 31 * m.x62 - 10 * m.x63 - 2 *
    m.x64 - m.x76 + m.x86 == 0)
m.e66 = Constraint(expr= m.x2 + 2 * m.x3 + 3 * m.x4 + 4 * m.x5 + 5 * m.x6 + 6 *
    m.x7 + 7 * m.x8 + 8 * m.x9 + 9 * m.x10 + 10 * m.x11 == 1e+04)
m.e67 = Constraint(expr= m.x2 + m.x3 + m.x4 + m.x5 + m.x6 + m.x7 + m.x8 + m.x9
    + m.x10 + m.x11 >= 424)
m.e68 = Constraint(expr= m.x3 + m.x4 + m.x5 + m.x6 + m.x7 + m.x8 + m.x9 + m.x10
    + m.x11 >= 208)
m.e69 = Constraint(expr= m.x4 + m.x5 + m.x6 + m.x7 + m.x8 + m.x9 + m.x10 +
    m.x11 >= 243)
m.e70 = Constraint(expr= m.x5 + m.x6 + m.x7 + m.x8 + m.x9 + m.x10 + m.x11
    >= 191)
m.e71 = Constraint(expr= m.x6 + m.x7 + m.x8 + m.x9 + m.x10 + m.x11 >= 79)
m.e72 = Constraint(expr= m.x7 + m.x8 + m.x9 + m.x10 + m.x11 >= 31)
m.e73 = Constraint(expr= m.x8 + m.x9 + m.x10 + m.x11 >= 10)
m.e74 = Constraint(expr= m.x9 + m.x10 + m.x11 >= 2)
m.e75 = Constraint(expr= m.x10 + m.x11 >= 0)
m.e76 = Constraint(expr= m.x11 >= 0)
m.e77 = Constraint(expr= -m.x1 + m.x2 + m.x3 + m.x4 + m.x5 + m.x6 + m.x7 + m.x8
    + m.x9 + m.x10 + m.x11 == 0)
