# 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
#       601      161      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 * (0.5 * m.x2 + 0.5000500050005 * m.x3 +
    0.375037503750375 * m.x4 + 0.249999992497001 * m.x5 + 0.156218732806561 *
    m.x6 + 0.0937031062453125 * m.x7 + 0.0546382681253312 * m.x8 +
    0.0312062456311301 * m.x9 + 0.017542972627178 * m.x10 + 0.00973926749128362
    * m.x11) + 0.5 * m.x2 == 0)
m.e2 = Constraint(expr= -m.x13 * (0.5 * m.x2 + 0.5000500050005 * m.x3 +
    0.375037503750375 * m.x4 + 0.249999992497001 * m.x5 + 0.156218732806561 *
    m.x6 + 0.0937031062453125 * m.x7 + 0.0546382681253312 * m.x8 +
    0.0312062456311301 * m.x9 + 0.017542972627178 * m.x10 + 0.00973926749128362
    * m.x11) + 0.5000500050005 * m.x3 == 0)
m.e3 = Constraint(expr= -m.x14 * (0.24997499749975 * m.x3 + 0.375037503750375 *
    m.x4 + 0.375075018755251 * m.x5 + 0.312562515629377 * m.x6 +
    0.234398432806401 * m.x7 + 0.164046067482601 * m.x8 + 0.109331212792365 *
    m.x9 + 0.0702562148313726 * m.x10 + 0.0438881594251137 * m.x11) +
    0.24997499749975 * m.x3 == 0)
m.e4 = Constraint(expr= -m.x15 * (0.5 * m.x2 + 0.5000500050005 * m.x3 +
    0.375037503750375 * m.x4 + 0.249999992497001 * m.x5 + 0.156218732806561 *
    m.x6 + 0.0937031062453125 * m.x7 + 0.0546382681253312 * m.x8 +
    0.0312062456311301 * m.x9 + 0.017542972627178 * m.x10 + 0.00973926749128362
    * m.x11) + 0.375037503750375 * m.x4 == 0)
m.e5 = Constraint(expr= -m.x16 * (0.24997499749975 * m.x3 + 0.375037503750375 *
    m.x4 + 0.375075018755251 * m.x5 + 0.312562515629377 * m.x6 +
    0.234398432806401 * m.x7 + 0.164046067482601 * m.x8 + 0.109331212792365 *
    m.x9 + 0.0702562148313726 * m.x10 + 0.0438881594251137 * m.x11) +
    0.375037503750375 * m.x4 == 0)
m.e6 = Constraint(expr= -m.x17 * (0.124962496249625 * m.x4 + 0.249999992497001
    * m.x5 + 0.312562515629377 * m.x6 + 0.312593787516885 * m.x7 +
    0.273519564077274 * m.x8 + 0.218793754368866 * m.x9 + 0.164062470437224 *
    m.x10 + 0.117152290970943 * m.x11) + 0.124962496249625 * m.x4 == 0)
m.e7 = Constraint(expr= -m.x18 * (0.5 * m.x2 + 0.5000500050005 * m.x3 +
    0.375037503750375 * m.x4 + 0.249999992497001 * m.x5 + 0.156218732806561 *
    m.x6 + 0.0937031062453125 * m.x7 + 0.0546382681253312 * m.x8 +
    0.0312062456311301 * m.x9 + 0.017542972627178 * m.x10 + 0.00973926749128362
    * m.x11) + 0.249999992497001 * m.x5 == 0)
m.e8 = Constraint(expr= -m.x19 * (0.24997499749975 * m.x3 + 0.375037503750375 *
    m.x4 + 0.375075018755251 * m.x5 + 0.312562515629377 * m.x6 +
    0.234398432806401 * m.x7 + 0.164046067482601 * m.x8 + 0.109331212792365 *
    m.x9 + 0.0702562148313726 * m.x10 + 0.0438881594251137 * m.x11) +
    0.375075018755251 * m.x5 == 0)
m.e9 = Constraint(expr= -m.x20 * (0.124962496249625 * m.x4 + 0.249999992497001
    * m.x5 + 0.312562515629377 * m.x6 + 0.312593787516885 * m.x7 +
    0.273519564077274 * m.x8 + 0.218793754368866 * m.x9 + 0.164062470437224 *
    m.x10 + 0.117152290970943 * m.x11) + 0.249999992497001 * m.x5 == 0)
m.e10 = Constraint(expr= -m.x21 * (0.0624624981253751 * m.x5 +
    0.156218732806561 * m.x6 + 0.234398432806401 * m.x7 + 0.273519564077274 *
    m.x8 + 0.273546935193458 * m.x9 + 0.246192241674115 * m.x10 +
    0.205139666893903 * m.x11) + 0.0624624981253751 * m.x5 == 0)
m.e11 = Constraint(expr= -m.x22 * (0.5 * m.x2 + 0.5000500050005 * m.x3 +
    0.375037503750375 * m.x4 + 0.249999992497001 * m.x5 + 0.156218732806561 *
    m.x6 + 0.0937031062453125 * m.x7 + 0.0546382681253312 * m.x8 +
    0.0312062456311301 * m.x9 + 0.017542972627178 * m.x10 + 0.00973926749128362
    * m.x11) + 0.156218732806561 * m.x6 == 0)
m.e12 = Constraint(expr= -m.x23 * (0.24997499749975 * m.x3 + 0.375037503750375
    * m.x4 + 0.375075018755251 * m.x5 + 0.312562515629377 * m.x6 +
    0.234398432806401 * m.x7 + 0.164046067482601 * m.x8 + 0.109331212792365 *
    m.x9 + 0.0702562148313726 * m.x10 + 0.0438881594251137 * m.x11) +
    0.312562515629377 * m.x6 == 0)
m.e13 = Constraint(expr= -m.x24 * (0.124962496249625 * m.x4 + 0.249999992497001
    * m.x5 + 0.312562515629377 * m.x6 + 0.312593787516885 * m.x7 +
    0.273519564077274 * m.x8 + 0.218793754368866 * m.x9 + 0.164062470437224 *
    m.x10 + 0.117152290970943 * m.x11) + 0.312562515629377 * m.x6 == 0)
m.e14 = Constraint(expr= -m.x25 * (0.0624624981253751 * m.x5 +
    0.156218732806561 * m.x6 + 0.234398432806401 * m.x7 + 0.273519564077274 *
    m.x8 + 0.273546935193458 * m.x9 + 0.246192241674115 * m.x10 +
    0.205139666893903 * m.x11) + 0.156218732806561 * m.x6 == 0)
m.e15 = Constraint(expr= -m.x26 * (0.0312187515640633 * m.x6 +
    0.0937031062453125 * m.x7 + 0.164046067482601 * m.x8 + 0.218793754368866 *
    m.x9 + 0.246192241674115 * m.x10 + 0.246216883075546 * m.x11) +
    0.0312187515640633 * m.x6 == 0)
m.e16 = Constraint(expr= -m.x27 * (0.5 * m.x2 + 0.5000500050005 * m.x3 +
    0.375037503750375 * m.x4 + 0.249999992497001 * m.x5 + 0.156218732806561 *
    m.x6 + 0.0937031062453125 * m.x7 + 0.0546382681253312 * m.x8 +
    0.0312062456311301 * m.x9 + 0.017542972627178 * m.x10 + 0.00973926749128362
    * m.x11) + 0.0937031062453125 * m.x7 == 0)
m.e17 = Constraint(expr= -m.x28 * (0.24997499749975 * m.x3 + 0.375037503750375
    * m.x4 + 0.375075018755251 * m.x5 + 0.312562515629377 * m.x6 +
    0.234398432806401 * m.x7 + 0.164046067482601 * m.x8 + 0.109331212792365 *
    m.x9 + 0.0702562148313726 * m.x10 + 0.0438881594251137 * m.x11) +
    0.234398432806401 * m.x7 == 0)
m.e18 = Constraint(expr= -m.x29 * (0.124962496249625 * m.x4 + 0.249999992497001
    * m.x5 + 0.312562515629377 * m.x6 + 0.312593787516885 * m.x7 +
    0.273519564077274 * m.x8 + 0.218793754368866 * m.x9 + 0.164062470437224 *
    m.x10 + 0.117152290970943 * m.x11) + 0.312593787516885 * m.x7 == 0)
m.e19 = Constraint(expr= -m.x30 * (0.0624624981253751 * m.x5 +
    0.156218732806561 * m.x6 + 0.234398432806401 * m.x7 + 0.273519564077274 *
    m.x8 + 0.273546935193458 * m.x9 + 0.246192241674115 * m.x10 +
    0.205139666893903 * m.x11) + 0.234398432806401 * m.x7 == 0)
m.e20 = Constraint(expr= -m.x31 * (0.0312187515640633 * m.x6 +
    0.0937031062453125 * m.x7 + 0.164046067482601 * m.x8 + 0.218793754368866 *
    m.x9 + 0.246192241674115 * m.x10 + 0.246216883075546 * m.x11) +
    0.0937031062453125 * m.x7 == 0)
m.e21 = Constraint(expr= -m.x32 * (0.0156015671898445 * m.x7 +
    0.0546382681253312 * m.x8 + 0.109331212792365 * m.x9 + 0.164062470437224 *
    m.x10 + 0.205139666893903 * m.x11) + 0.0156015671898445 * m.x7 == 0)
m.e22 = Constraint(expr= -m.x33 * (0.5 * m.x2 + 0.5000500050005 * m.x3 +
    0.375037503750375 * m.x4 + 0.249999992497001 * m.x5 + 0.156218732806561 *
    m.x6 + 0.0937031062453125 * m.x7 + 0.0546382681253312 * m.x8 +
    0.0312062456311301 * m.x9 + 0.017542972627178 * m.x10 + 0.00973926749128362
    * m.x11) + 0.0546382681253312 * m.x8 == 0)
m.e23 = Constraint(expr= -m.x34 * (0.24997499749975 * m.x3 + 0.375037503750375
    * m.x4 + 0.375075018755251 * m.x5 + 0.312562515629377 * m.x6 +
    0.234398432806401 * m.x7 + 0.164046067482601 * m.x8 + 0.109331212792365 *
    m.x9 + 0.0702562148313726 * m.x10 + 0.0438881594251137 * m.x11) +
    0.164046067482601 * m.x8 == 0)
m.e24 = Constraint(expr= -m.x35 * (0.124962496249625 * m.x4 + 0.249999992497001
    * m.x5 + 0.312562515629377 * m.x6 + 0.312593787516885 * m.x7 +
    0.273519564077274 * m.x8 + 0.218793754368866 * m.x9 + 0.164062470437224 *
    m.x10 + 0.117152290970943 * m.x11) + 0.273519564077274 * m.x8 == 0)
m.e25 = Constraint(expr= -m.x36 * (0.0624624981253751 * m.x5 +
    0.156218732806561 * m.x6 + 0.234398432806401 * m.x7 + 0.273519564077274 *
    m.x8 + 0.273546935193458 * m.x9 + 0.246192241674115 * m.x10 +
    0.205139666893903 * m.x11) + 0.273519564077274 * m.x8 == 0)
m.e26 = Constraint(expr= -m.x37 * (0.0312187515640633 * m.x6 +
    0.0937031062453125 * m.x7 + 0.164046067482601 * m.x8 + 0.218793754368866 *
    m.x9 + 0.246192241674115 * m.x10 + 0.246216883075546 * m.x11) +
    0.164046067482601 * m.x8 == 0)
m.e27 = Constraint(expr= -m.x38 * (0.0156015671898445 * m.x7 +
    0.0546382681253312 * m.x8 + 0.109331212792365 * m.x9 + 0.164062470437224 *
    m.x10 + 0.205139666893903 * m.x11) + 0.0546382681253312 * m.x8 == 0)
m.e28 = Constraint(expr= -m.x39 * (0.00779610031479713 * m.x8 +
    0.0312062456311301 * m.x9 + 0.0702562148313726 * m.x10 + 0.117152290970943
    * m.x11) + 0.00779610031479713 * m.x8 == 0)
m.e29 = Constraint(expr= -m.x40 * (0.5 * m.x2 + 0.5000500050005 * m.x3 +
    0.375037503750375 * m.x4 + 0.249999992497001 * m.x5 + 0.156218732806561 *
    m.x6 + 0.0937031062453125 * m.x7 + 0.0546382681253312 * m.x8 +
    0.0312062456311301 * m.x9 + 0.017542972627178 * m.x10 + 0.00973926749128362
    * m.x11) + 0.0312062456311301 * m.x9 == 0)
m.e30 = Constraint(expr= -m.x41 * (0.24997499749975 * m.x3 + 0.375037503750375
    * m.x4 + 0.375075018755251 * m.x5 + 0.312562515629377 * m.x6 +
    0.234398432806401 * m.x7 + 0.164046067482601 * m.x8 + 0.109331212792365 *
    m.x9 + 0.0702562148313726 * m.x10 + 0.0438881594251137 * m.x11) +
    0.109331212792365 * m.x9 == 0)
m.e31 = Constraint(expr= -m.x42 * (0.124962496249625 * m.x4 + 0.249999992497001
    * m.x5 + 0.312562515629377 * m.x6 + 0.312593787516885 * m.x7 +
    0.273519564077274 * m.x8 + 0.218793754368866 * m.x9 + 0.164062470437224 *
    m.x10 + 0.117152290970943 * m.x11) + 0.218793754368866 * m.x9 == 0)
m.e32 = Constraint(expr= -m.x43 * (0.0624624981253751 * m.x5 +
    0.156218732806561 * m.x6 + 0.234398432806401 * m.x7 + 0.273519564077274 *
    m.x8 + 0.273546935193458 * m.x9 + 0.246192241674115 * m.x10 +
    0.205139666893903 * m.x11) + 0.273546935193458 * m.x9 == 0)
m.e33 = Constraint(expr= -m.x44 * (0.0312187515640633 * m.x6 +
    0.0937031062453125 * m.x7 + 0.164046067482601 * m.x8 + 0.218793754368866 *
    m.x9 + 0.246192241674115 * m.x10 + 0.246216883075546 * m.x11) +
    0.218793754368866 * m.x9 == 0)
m.e34 = Constraint(expr= -m.x45 * (0.0156015671898445 * m.x7 +
    0.0546382681253312 * m.x8 + 0.109331212792365 * m.x9 + 0.164062470437224 *
    m.x10 + 0.205139666893903 * m.x11) + 0.109331212792365 * m.x9 == 0)
m.e35 = Constraint(expr= -m.x46 * (0.00779610031479713 * m.x8 +
    0.0312062456311301 * m.x9 + 0.0702562148313726 * m.x10 + 0.117152290970943
    * m.x11) + 0.0312062456311301 * m.x9 == 0)
m.e36 = Constraint(expr= -m.x47 * (0.00389531961090585 * m.x9 +
    0.017542972627178 * m.x10 + 0.0438881594251137 * m.x11) +
    0.00389531961090585 * m.x9 == 0)
m.e37 = Constraint(expr= -m.x48 * (0.5 * m.x2 + 0.5000500050005 * m.x3 +
    0.375037503750375 * m.x4 + 0.249999992497001 * m.x5 + 0.156218732806561 *
    m.x6 + 0.0937031062453125 * m.x7 + 0.0546382681253312 * m.x8 +
    0.0312062456311301 * m.x9 + 0.017542972627178 * m.x10 + 0.00973926749128362
    * m.x11) + 0.017542972627178 * m.x10 == 0)
m.e38 = Constraint(expr= -m.x49 * (0.24997499749975 * m.x3 + 0.375037503750375
    * m.x4 + 0.375075018755251 * m.x5 + 0.312562515629377 * m.x6 +
    0.234398432806401 * m.x7 + 0.164046067482601 * m.x8 + 0.109331212792365 *
    m.x9 + 0.0702562148313726 * m.x10 + 0.0438881594251137 * m.x11) +
    0.0702562148313726 * m.x10 == 0)
m.e39 = Constraint(expr= -m.x50 * (0.124962496249625 * m.x4 + 0.249999992497001
    * m.x5 + 0.312562515629377 * m.x6 + 0.312593787516885 * m.x7 +
    0.273519564077274 * m.x8 + 0.218793754368866 * m.x9 + 0.164062470437224 *
    m.x10 + 0.117152290970943 * m.x11) + 0.164062470437224 * m.x10 == 0)
m.e40 = Constraint(expr= -m.x51 * (0.0624624981253751 * m.x5 +
    0.156218732806561 * m.x6 + 0.234398432806401 * m.x7 + 0.273519564077274 *
    m.x8 + 0.273546935193458 * m.x9 + 0.246192241674115 * m.x10 +
    0.205139666893903 * m.x11) + 0.246192241674115 * m.x10 == 0)
m.e41 = Constraint(expr= -m.x52 * (0.0312187515640633 * m.x6 +
    0.0937031062453125 * m.x7 + 0.164046067482601 * m.x8 + 0.218793754368866 *
    m.x9 + 0.246192241674115 * m.x10 + 0.246216883075546 * m.x11) +
    0.246192241674115 * m.x10 == 0)
m.e42 = Constraint(expr= -m.x53 * (0.0156015671898445 * m.x7 +
    0.0546382681253312 * m.x8 + 0.109331212792365 * m.x9 + 0.164062470437224 *
    m.x10 + 0.205139666893903 * m.x11) + 0.164062470437224 * m.x10 == 0)
m.e43 = Constraint(expr= -m.x54 * (0.00779610031479713 * m.x8 +
    0.0312062456311301 * m.x9 + 0.0702562148313726 * m.x10 + 0.117152290970943
    * m.x11) + 0.0702562148313726 * m.x10 == 0)
m.e44 = Constraint(expr= -m.x55 * (0.00389531961090585 * m.x9 +
    0.017542972627178 * m.x10 + 0.0438881594251137 * m.x11) + 0.017542972627178
    * m.x10 == 0)
m.e45 = Constraint(expr= -m.x56 * (0.00194610043010828 * m.x10 +
    0.00973926749128362 * m.x11) + 0.00194610043010828 * m.x10 == 0)
m.e46 = Constraint(expr= -m.x57 * (0.5 * m.x2 + 0.5000500050005 * m.x3 +
    0.375037503750375 * m.x4 + 0.249999992497001 * m.x5 + 0.156218732806561 *
    m.x6 + 0.0937031062453125 * m.x7 + 0.0546382681253312 * m.x8 +
    0.0312062456311301 * m.x9 + 0.017542972627178 * m.x10 + 0.00973926749128362
    * m.x11) + 0.00973926749128362 * m.x11 == 0)
m.e47 = Constraint(expr= -m.x58 * (0.24997499749975 * m.x3 + 0.375037503750375
    * m.x4 + 0.375075018755251 * m.x5 + 0.312562515629377 * m.x6 +
    0.234398432806401 * m.x7 + 0.164046067482601 * m.x8 + 0.109331212792365 *
    m.x9 + 0.0702562148313726 * m.x10 + 0.0438881594251137 * m.x11) +
    0.0438881594251137 * m.x11 == 0)
m.e48 = Constraint(expr= -m.x59 * (0.124962496249625 * m.x4 + 0.249999992497001
    * m.x5 + 0.312562515629377 * m.x6 + 0.312593787516885 * m.x7 +
    0.273519564077274 * m.x8 + 0.218793754368866 * m.x9 + 0.164062470437224 *
    m.x10 + 0.117152290970943 * m.x11) + 0.117152290970943 * m.x11 == 0)
m.e49 = Constraint(expr= -m.x60 * (0.0624624981253751 * m.x5 +
    0.156218732806561 * m.x6 + 0.234398432806401 * m.x7 + 0.273519564077274 *
    m.x8 + 0.273546935193458 * m.x9 + 0.246192241674115 * m.x10 +
    0.205139666893903 * m.x11) + 0.205139666893903 * m.x11 == 0)
m.e50 = Constraint(expr= -m.x61 * (0.0312187515640633 * m.x6 +
    0.0937031062453125 * m.x7 + 0.164046067482601 * m.x8 + 0.218793754368866 *
    m.x9 + 0.246192241674115 * m.x10 + 0.246216883075546 * m.x11) +
    0.246216883075546 * m.x11 == 0)
m.e51 = Constraint(expr= -m.x62 * (0.0156015671898445 * m.x7 +
    0.0546382681253312 * m.x8 + 0.109331212792365 * m.x9 + 0.164062470437224 *
    m.x10 + 0.205139666893903 * m.x11) + 0.205139666893903 * m.x11 == 0)
m.e52 = Constraint(expr= -m.x63 * (0.00779610031479713 * m.x8 +
    0.0312062456311301 * m.x9 + 0.0702562148313726 * m.x10 + 0.117152290970943
    * m.x11) + 0.117152290970943 * m.x11 == 0)
m.e53 = Constraint(expr= -m.x64 * (0.00389531961090585 * m.x9 +
    0.017542972627178 * m.x10 + 0.0438881594251137 * m.x11) +
    0.0438881594251137 * m.x11 == 0)
m.e54 = Constraint(expr= -m.x65 * (0.00194610043010828 * m.x10 +
    0.00973926749128362 * m.x11) + 0.00973926749128362 * m.x11 == 0)
m.e55 = Constraint(expr= -0.000972173680979933 * m.x66 * m.x11 +
    0.000972173680979933 * m.x11 == 0)
m.e56 = Constraint(expr= 0.5 * m.x2 - 513 * m.x12 - m.x67 + m.x77 == 0)
m.e57 = Constraint(expr= 0.75002500250025 * m.x3 - 513 * m.x13 - 41 * m.x14 -
    m.x68 + m.x78 == 0)
m.e58 = Constraint(expr= 0.875037503750375 * m.x4 - 513 * m.x15 - 41 * m.x16 -
    100 * m.x17 - m.x69 + m.x79 == 0)
m.e59 = Constraint(expr= 0.937537501874625 * m.x5 - 513 * m.x18 - 41 * m.x19 -
    100 * m.x20 - 182 * m.x21 - m.x70 + m.x80 == 0)
m.e60 = Constraint(expr= 0.968781248435937 * m.x6 - 513 * m.x22 - 41 * m.x23 -
    100 * m.x24 - 182 * m.x25 - 248 * m.x26 - m.x71 + m.x81 == 0)
m.e61 = Constraint(expr= 0.984398432810156 * m.x7 - 513 * m.x27 - 41 * m.x28 -
    100 * m.x29 - 182 * m.x30 - 248 * m.x31 - 167 * m.x32 - m.x72 + m.x82 == 0)
m.e62 = Constraint(expr= 0.992203899685203 * m.x8 - 513 * m.x33 - 41 * m.x34 -
    100 * m.x35 - 182 * m.x36 - 248 * m.x37 - 167 * m.x38 - 89 * m.x39 - m.x73
    + m.x83 == 0)
m.e63 = Constraint(expr= 0.996104680389094 * m.x9 - 513 * m.x40 - 41 * m.x41 -
    100 * m.x42 - 182 * m.x43 - 248 * m.x44 - 167 * m.x45 - 89 * m.x46 - 48 *
    m.x47 - m.x74 + m.x84 == 0)
m.e64 = Constraint(expr= 0.998053899569892 * m.x10 - 513 * m.x48 - 41 * m.x49
    - 100 * m.x50 - 182 * m.x51 - 248 * m.x52 - 167 * m.x53 - 89 * m.x54 - 48
    * m.x55 - 12 * m.x56 - m.x75 + m.x85 == 0)
m.e65 = Constraint(expr= 0.99902782631902 * m.x11 - 513 * m.x57 - 41 * m.x58 -
    100 * m.x59 - 182 * m.x60 - 248 * m.x61 - 167 * m.x62 - 89 * m.x63 - 48 *
    m.x64 - 12 * m.x65 - 2 * m.x66 - 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 >= 513)
m.e68 = Constraint(expr= m.x3 + m.x4 + m.x5 + m.x6 + m.x7 + m.x8 + m.x9 + m.x10
    + m.x11 >= 41)
m.e69 = Constraint(expr= m.x4 + m.x5 + m.x6 + m.x7 + m.x8 + m.x9 + m.x10 +
    m.x11 >= 100)
m.e70 = Constraint(expr= m.x5 + m.x6 + m.x7 + m.x8 + m.x9 + m.x10 + m.x11
    >= 182)
m.e71 = Constraint(expr= m.x6 + m.x7 + m.x8 + m.x9 + m.x10 + m.x11 >= 248)
m.e72 = Constraint(expr= m.x7 + m.x8 + m.x9 + m.x10 + m.x11 >= 167)
m.e73 = Constraint(expr= m.x8 + m.x9 + m.x10 + m.x11 >= 89)
m.e74 = Constraint(expr= m.x9 + m.x10 + m.x11 >= 48)
m.e75 = Constraint(expr= m.x10 + m.x11 >= 12)
m.e76 = Constraint(expr= m.x11 >= 2)
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)
