# NLP written by GAMS Convert at 03/03/22 14:43:37
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#       108      107        0        1        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#       141      141        0        0        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#       726      161      565
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.x1 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x2 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x3 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x4 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x5 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x6 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x7 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x8 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x9 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x10 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x11 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x12 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x13 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x14 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x15 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x16 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x17 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x18 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x19 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x20 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x21 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x22 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x23 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x24 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x25 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x26 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x27 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x28 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x29 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x30 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x31 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x32 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x33 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x34 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x35 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x36 = Var(within=Reals, bounds=(0,1000), initialize=100)
m.x37 = Var(within=Reals, bounds=(0,1000), initialize=100)
m.x38 = Var(within=Reals, bounds=(0,1000), initialize=100)
m.x39 = Var(within=Reals, bounds=(0,1000), initialize=100)
m.x40 = Var(within=Reals, bounds=(0,1000), initialize=100)
m.x41 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x42 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x43 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x44 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x45 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x46 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x47 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x48 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x49 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x50 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x51 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x52 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x53 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x54 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x55 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x56 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x57 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x58 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x59 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x60 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x61 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x62 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x63 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x64 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x65 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x66 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x67 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x68 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x69 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x70 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x71 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x72 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x73 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x74 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x75 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x76 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x77 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x78 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x79 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x80 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x81 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x82 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x83 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x84 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x85 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x86 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x87 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x88 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x89 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x90 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x91 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x92 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x93 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x94 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x95 = Var(within=Reals, bounds=(0,1000), initialize=50)
m.x96 = Var(within=Reals, bounds=(0,1000), initialize=100)
m.x97 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x98 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x99 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x100 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x101 = Var(within=Reals, bounds=(0,10), initialize=0.2)
m.x102 = Var(within=Reals, bounds=(0,1e+04), initialize=1)
m.x103 = Var(within=Reals, bounds=(0,1e+04), initialize=1)
m.x104 = Var(within=Reals, bounds=(0,1e+04), initialize=1)
m.x105 = Var(within=Reals, bounds=(0,1e+04), initialize=1)
m.x106 = Var(within=Reals, bounds=(0,1e+04), initialize=1)
m.x107 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x108 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x109 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x110 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x111 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x112 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x113 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x114 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x115 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x116 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x117 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x118 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x119 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x120 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x121 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x122 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x123 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x124 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x125 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x126 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x127 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x128 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x129 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x130 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x131 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x132 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x133 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x134 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x135 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x136 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x137 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x138 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x139 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x140 = Var(within=Reals, bounds=(0,1e+04), initialize=0)
m.x141 = Var(within=Reals, bounds=(0,1e+04), initialize=0)

m.obj = Objective(sense=minimize, expr= -m.x99 / m.x100)

m.e1 = Constraint(expr= -m.x1 - m.x2 - m.x3 - m.x4 - m.x5 == -100)
m.e2 = Constraint(expr= -m.x1 + m.x6 - m.x66 - m.x71 - m.x76 - m.x81 - m.x86
    == 0)
m.e3 = Constraint(expr= -m.x2 + m.x7 - m.x67 - m.x72 - m.x77 - m.x82 - m.x87
    == 0)
m.e4 = Constraint(expr= -m.x3 + m.x8 - m.x68 - m.x73 - m.x78 - m.x83 - m.x88
    == 0)
m.e5 = Constraint(expr= -m.x4 + m.x9 - m.x69 - m.x74 - m.x79 - m.x84 - m.x89
    == 0)
m.e6 = Constraint(expr= -m.x5 + m.x10 - m.x70 - m.x75 - m.x80 - m.x85 - m.x90
    == 0)
m.e7 = Constraint(expr= m.x11 * m.x6 - m.x41 * m.x66 - m.x46 * m.x71 - m.x51 *
    m.x76 - m.x56 * m.x81 - m.x61 * m.x86 - m.x1 == 0)
m.e8 = Constraint(expr= m.x12 * m.x6 - m.x42 * m.x66 - m.x47 * m.x71 - m.x52 *
    m.x76 - m.x57 * m.x81 - m.x62 * m.x86 == 0)
m.e9 = Constraint(expr= m.x13 * m.x6 - m.x43 * m.x66 - m.x48 * m.x71 - m.x53 *
    m.x76 - m.x58 * m.x81 - m.x63 * m.x86 == 0)
m.e10 = Constraint(expr= m.x14 * m.x6 - m.x44 * m.x66 - m.x49 * m.x71 - m.x54
    * m.x76 - m.x59 * m.x81 - m.x64 * m.x86 == 0)
m.e11 = Constraint(expr= m.x15 * m.x6 - m.x45 * m.x66 - m.x50 * m.x71 - m.x55
    * m.x76 - m.x60 * m.x81 - m.x65 * m.x86 == 0)
m.e12 = Constraint(expr= m.x16 * m.x7 - m.x41 * m.x67 - m.x46 * m.x72 - m.x51
    * m.x77 - m.x56 * m.x82 - m.x61 * m.x87 - m.x2 == 0)
m.e13 = Constraint(expr= m.x17 * m.x7 - m.x42 * m.x67 - m.x47 * m.x72 - m.x52
    * m.x77 - m.x57 * m.x82 - m.x62 * m.x87 == 0)
m.e14 = Constraint(expr= m.x18 * m.x7 - m.x43 * m.x67 - m.x48 * m.x72 - m.x53
    * m.x77 - m.x58 * m.x82 - m.x63 * m.x87 == 0)
m.e15 = Constraint(expr= m.x19 * m.x7 - m.x44 * m.x67 - m.x49 * m.x72 - m.x54
    * m.x77 - m.x59 * m.x82 - m.x64 * m.x87 == 0)
m.e16 = Constraint(expr= m.x20 * m.x7 - m.x45 * m.x67 - m.x50 * m.x72 - m.x55
    * m.x77 - m.x60 * m.x82 - m.x65 * m.x87 == 0)
m.e17 = Constraint(expr= m.x21 * m.x8 - m.x41 * m.x68 - m.x46 * m.x73 - m.x51
    * m.x78 - m.x56 * m.x83 - m.x61 * m.x88 - m.x3 == 0)
m.e18 = Constraint(expr= m.x22 * m.x8 - m.x42 * m.x68 - m.x47 * m.x73 - m.x52
    * m.x78 - m.x57 * m.x83 - m.x62 * m.x88 == 0)
m.e19 = Constraint(expr= m.x23 * m.x8 - m.x43 * m.x68 - m.x48 * m.x73 - m.x53
    * m.x78 - m.x58 * m.x83 - m.x63 * m.x88 == 0)
m.e20 = Constraint(expr= m.x24 * m.x8 - m.x44 * m.x68 - m.x49 * m.x73 - m.x54
    * m.x78 - m.x59 * m.x83 - m.x64 * m.x88 == 0)
m.e21 = Constraint(expr= m.x25 * m.x8 - m.x45 * m.x68 - m.x50 * m.x73 - m.x55
    * m.x78 - m.x60 * m.x83 - m.x65 * m.x88 == 0)
m.e22 = Constraint(expr= m.x26 * m.x9 - m.x41 * m.x69 - m.x46 * m.x74 - m.x51
    * m.x79 - m.x56 * m.x84 - m.x61 * m.x89 - m.x4 == 0)
m.e23 = Constraint(expr= m.x27 * m.x9 - m.x42 * m.x69 - m.x47 * m.x74 - m.x52
    * m.x79 - m.x57 * m.x84 - m.x62 * m.x89 == 0)
m.e24 = Constraint(expr= m.x28 * m.x9 - m.x43 * m.x69 - m.x48 * m.x74 - m.x53
    * m.x79 - m.x58 * m.x84 - m.x63 * m.x89 == 0)
m.e25 = Constraint(expr= m.x29 * m.x9 - m.x44 * m.x69 - m.x49 * m.x74 - m.x54
    * m.x79 - m.x59 * m.x84 - m.x64 * m.x89 == 0)
m.e26 = Constraint(expr= m.x30 * m.x9 - m.x45 * m.x69 - m.x50 * m.x74 - m.x55
    * m.x79 - m.x60 * m.x84 - m.x65 * m.x89 == 0)
m.e27 = Constraint(expr= m.x31 * m.x10 - m.x41 * m.x70 - m.x46 * m.x75 - m.x51
    * m.x80 - m.x56 * m.x85 - m.x61 * m.x90 - m.x5 == 0)
m.e28 = Constraint(expr= m.x32 * m.x10 - m.x42 * m.x70 - m.x47 * m.x75 - m.x52
    * m.x80 - m.x57 * m.x85 - m.x62 * m.x90 == 0)
m.e29 = Constraint(expr= m.x33 * m.x10 - m.x43 * m.x70 - m.x48 * m.x75 - m.x53
    * m.x80 - m.x58 * m.x85 - m.x63 * m.x90 == 0)
m.e30 = Constraint(expr= m.x34 * m.x10 - m.x44 * m.x70 - m.x49 * m.x75 - m.x54
    * m.x80 - m.x59 * m.x85 - m.x64 * m.x90 == 0)
m.e31 = Constraint(expr= m.x35 * m.x10 - m.x45 * m.x70 - m.x50 * m.x75 - m.x55
    * m.x80 - m.x60 * m.x85 - m.x65 * m.x90 == 0)
m.e32 = Constraint(expr= -m.x6 + m.x36 == 0)
m.e33 = Constraint(expr= -m.x7 + m.x37 == 0)
m.e34 = Constraint(expr= -m.x8 + m.x38 == 0)
m.e35 = Constraint(expr= -m.x9 + m.x39 == 0)
m.e36 = Constraint(expr= -m.x10 + m.x40 == 0)
m.e37 = Constraint(expr= m.x41 * m.x36 - m.x11 * m.x6 - m.x102 * (-m.x107 -
    m.x108 - 2 * m.x111) == 0)
m.e38 = Constraint(expr= m.x42 * m.x36 - m.x12 * m.x6 - m.x102 * (m.x109 -
    m.x112) == 0)
m.e39 = Constraint(expr= m.x43 * m.x36 - m.x13 * m.x6 - m.x102 * (m.x110 +
    m.x111 - m.x113) == 0)
m.e40 = Constraint(expr= m.x44 * m.x36 - m.x14 * m.x6 - m.x102 * (m.x108 -
    m.x109 - 2 * m.x110 + m.x112 + 2 * m.x113) == 0)
m.e41 = Constraint(expr= m.x45 * m.x36 - m.x15 * m.x6 - m.x102 * m.x107 == 0)
m.e42 = Constraint(expr= m.x46 * m.x37 - m.x16 * m.x7 - m.x103 * (-m.x114 -
    m.x115 - 2 * m.x118) == 0)
m.e43 = Constraint(expr= m.x47 * m.x37 - m.x17 * m.x7 - m.x103 * (m.x116 -
    m.x119) == 0)
m.e44 = Constraint(expr= m.x48 * m.x37 - m.x18 * m.x7 - m.x103 * (m.x117 +
    m.x118 - m.x120) == 0)
m.e45 = Constraint(expr= m.x49 * m.x37 - m.x19 * m.x7 - m.x103 * (m.x115 -
    m.x116 - 2 * m.x117 + m.x119 + 2 * m.x120) == 0)
m.e46 = Constraint(expr= m.x50 * m.x37 - m.x20 * m.x7 - m.x103 * m.x114 == 0)
m.e47 = Constraint(expr= m.x51 * m.x38 - m.x21 * m.x8 - m.x104 * (-m.x121 -
    m.x122 - 2 * m.x125) == 0)
m.e48 = Constraint(expr= m.x52 * m.x38 - m.x22 * m.x8 - m.x104 * (m.x123 -
    m.x126) == 0)
m.e49 = Constraint(expr= m.x53 * m.x38 - m.x23 * m.x8 - m.x104 * (m.x124 +
    m.x125 - m.x127) == 0)
m.e50 = Constraint(expr= m.x54 * m.x38 - m.x24 * m.x8 - m.x104 * (m.x122 -
    m.x123 - 2 * m.x124 + m.x126 + 2 * m.x127) == 0)
m.e51 = Constraint(expr= m.x55 * m.x38 - m.x25 * m.x8 - m.x104 * m.x121 == 0)
m.e52 = Constraint(expr= m.x56 * m.x39 - m.x26 * m.x9 - m.x105 * (-m.x128 -
    m.x129 - 2 * m.x132) == 0)
m.e53 = Constraint(expr= m.x57 * m.x39 - m.x27 * m.x9 - m.x105 * (m.x130 -
    m.x133) == 0)
m.e54 = Constraint(expr= m.x58 * m.x39 - m.x28 * m.x9 - m.x105 * (m.x131 +
    m.x132 - m.x134) == 0)
m.e55 = Constraint(expr= m.x59 * m.x39 - m.x29 * m.x9 - m.x105 * (m.x129 -
    m.x130 - 2 * m.x131 + m.x133 + 2 * m.x134) == 0)
m.e56 = Constraint(expr= m.x60 * m.x39 - m.x30 * m.x9 - m.x105 * m.x128 == 0)
m.e57 = Constraint(expr= m.x61 * m.x40 - m.x31 * m.x10 - m.x106 * (-m.x135 -
    m.x136 - 2 * m.x139) == 0)
m.e58 = Constraint(expr= m.x62 * m.x40 - m.x32 * m.x10 - m.x106 * (m.x137 -
    m.x140) == 0)
m.e59 = Constraint(expr= m.x63 * m.x40 - m.x33 * m.x10 - m.x106 * (m.x138 +
    m.x139 - m.x141) == 0)
m.e60 = Constraint(expr= m.x64 * m.x40 - m.x34 * m.x10 - m.x106 * (m.x136 -
    m.x137 - 2 * m.x138 + m.x140 + 2 * m.x141) == 0)
m.e61 = Constraint(expr= m.x65 * m.x40 - m.x35 * m.x10 - m.x106 * m.x135 == 0)
m.e62 = Constraint(expr= -0.33384 * m.x41 + m.x107 == 0)
m.e63 = Constraint(expr= -0.33384 * m.x46 + m.x114 == 0)
m.e64 = Constraint(expr= -0.33384 * m.x51 + m.x121 == 0)
m.e65 = Constraint(expr= -0.33384 * m.x56 + m.x128 == 0)
m.e66 = Constraint(expr= -0.33384 * m.x61 + m.x135 == 0)
m.e67 = Constraint(expr= -0.26687 * m.x41 + m.x108 == 0)
m.e68 = Constraint(expr= -0.26687 * m.x46 + m.x115 == 0)
m.e69 = Constraint(expr= -0.26687 * m.x51 + m.x122 == 0)
m.e70 = Constraint(expr= -0.26687 * m.x56 + m.x129 == 0)
m.e71 = Constraint(expr= -0.26687 * m.x61 + m.x136 == 0)
m.e72 = Constraint(expr= -0.1494 * m.x44 + m.x109 == 0)
m.e73 = Constraint(expr= -0.1494 * m.x49 + m.x116 == 0)
m.e74 = Constraint(expr= -0.1494 * m.x54 + m.x123 == 0)
m.e75 = Constraint(expr= -0.1494 * m.x59 + m.x130 == 0)
m.e76 = Constraint(expr= -0.1494 * m.x64 + m.x137 == 0)
m.e77 = Constraint(expr= -0.18957 * m.x44 * m.x44 + m.x110 == 0)
m.e78 = Constraint(expr= -0.18957 * m.x49 * m.x49 + m.x117 == 0)
m.e79 = Constraint(expr= -0.18957 * m.x54 * m.x54 + m.x124 == 0)
m.e80 = Constraint(expr= -0.18957 * m.x59 * m.x59 + m.x131 == 0)
m.e81 = Constraint(expr= -0.18957 * m.x64 * m.x64 + m.x138 == 0)
m.e82 = Constraint(expr= -0.009598 * m.x41 * m.x41 + m.x111 == 0)
m.e83 = Constraint(expr= -0.009598 * m.x46 * m.x46 + m.x118 == 0)
m.e84 = Constraint(expr= -0.009598 * m.x51 * m.x51 + m.x125 == 0)
m.e85 = Constraint(expr= -0.009598 * m.x56 * m.x56 + m.x132 == 0)
m.e86 = Constraint(expr= -0.009598 * m.x61 * m.x61 + m.x139 == 0)
m.e87 = Constraint(expr= -0.29425 * m.x42 + m.x112 == 0)
m.e88 = Constraint(expr= -0.29425 * m.x47 + m.x119 == 0)
m.e89 = Constraint(expr= -0.29425 * m.x52 + m.x126 == 0)
m.e90 = Constraint(expr= -0.29425 * m.x57 + m.x133 == 0)
m.e91 = Constraint(expr= -0.29425 * m.x62 + m.x140 == 0)
m.e92 = Constraint(expr= -0.011932 * m.x43 + m.x113 == 0)
m.e93 = Constraint(expr= -0.011932 * m.x48 + m.x120 == 0)
m.e94 = Constraint(expr= -0.011932 * m.x53 + m.x127 == 0)
m.e95 = Constraint(expr= -0.011932 * m.x58 + m.x134 == 0)
m.e96 = Constraint(expr= -0.011932 * m.x63 + m.x141 == 0)
m.e97 = Constraint(expr= m.x36 - m.x66 - m.x67 - m.x68 - m.x69 - m.x70 - m.x91
    == 0)
m.e98 = Constraint(expr= m.x37 - m.x71 - m.x72 - m.x73 - m.x74 - m.x75 - m.x92
    == 0)
m.e99 = Constraint(expr= m.x38 - m.x76 - m.x77 - m.x78 - m.x79 - m.x80 - m.x93
    == 0)
m.e100 = Constraint(expr= m.x39 - m.x81 - m.x82 - m.x83 - m.x84 - m.x85 - m.x94
    == 0)
m.e101 = Constraint(expr= m.x40 - m.x86 - m.x87 - m.x88 - m.x89 - m.x90 - m.x95
    == 0)
m.e102 = Constraint(expr= -m.x91 - m.x92 - m.x93 - m.x94 - m.x95 + m.x96 == 0)
m.e103 = Constraint(expr= m.x96 * m.x97 - m.x91 * m.x41 - m.x92 * m.x46 - m.x93
    * m.x51 - m.x94 * m.x56 - m.x95 * m.x61 == 0)
m.e104 = Constraint(expr= m.x96 * m.x98 - m.x91 * m.x42 - m.x92 * m.x47 - m.x93
    * m.x52 - m.x94 * m.x57 - m.x95 * m.x62 == 0)
m.e105 = Constraint(expr= m.x96 * m.x99 - m.x91 * m.x43 - m.x92 * m.x48 - m.x93
    * m.x53 - m.x94 * m.x58 - m.x95 * m.x63 == 0)
m.e106 = Constraint(expr= m.x96 * m.x100 - m.x91 * m.x44 - m.x92 * m.x49 -
    m.x93 * m.x54 - m.x94 * m.x59 - m.x95 * m.x64 == 0)
m.e107 = Constraint(expr= m.x96 * m.x101 - m.x91 * m.x45 - m.x92 * m.x50 -
    m.x93 * m.x55 - m.x94 * m.x60 - m.x95 * m.x65 == 0)
m.e108 = Constraint(expr= m.x102 + m.x103 + m.x104 + m.x105 + m.x106 <= 6000)
