# MINLP written by GAMS Convert at 02/17/22 17:23:33 # # Equation counts # Total E G L N X C B # 197 109 24 64 0 0 0 0 # # Variable counts # x b i s1s s2s sc si # Total cont binary integer sos1 sos2 scont sint # 138 118 20 0 0 0 0 0 # FX 0 # # Nonzero counts # Total const NL # 727 191 536 # # Reformulation has removed 1 variable and 1 equation from pyomo.environ import * model = m = ConcreteModel() m.x1 = Var(within=Reals, bounds=(None,None), initialize=0) m.x2 = Var(within=Reals, bounds=(None,None), initialize=0) m.x3 = Var(within=Reals, bounds=(None,None), initialize=0) m.x4 = Var(within=Reals, bounds=(None,None), initialize=0) m.x5 = Var(within=Reals, bounds=(None,None), initialize=0) m.x6 = Var(within=Reals, bounds=(None,None), initialize=0) m.x7 = Var(within=Reals, bounds=(None,None), initialize=0) m.x8 = Var(within=Reals, bounds=(None,None), initialize=0) m.x9 = Var(within=Reals, bounds=(None,None), initialize=0) m.x10 = Var(within=Reals, bounds=(None,None), initialize=0) m.x11 = Var(within=Reals, bounds=(None,None), initialize=0) m.x12 = Var(within=Reals, bounds=(None,None), initialize=0) m.x13 = Var(within=Reals, bounds=(None,None), initialize=0) m.x14 = Var(within=Reals, bounds=(None,None), initialize=0) m.x15 = Var(within=Reals, bounds=(None,None), initialize=0) m.x16 = Var(within=Reals, bounds=(None,None), initialize=0) m.x17 = Var(within=Reals, bounds=(None,None), initialize=0) m.x18 = Var(within=Reals, bounds=(None,None), initialize=0) m.x19 = Var(within=Reals, bounds=(None,None), initialize=0) m.x20 = Var(within=Reals, bounds=(None,None), initialize=0) m.x21 = Var(within=Reals, bounds=(None,None), initialize=0) m.x22 = Var(within=Reals, bounds=(None,None), initialize=0) m.x23 = Var(within=Reals, bounds=(None,None), initialize=0) m.x24 = Var(within=Reals, bounds=(None,None), initialize=0) m.x25 = Var(within=Reals, bounds=(None,None), initialize=0) m.x26 = Var(within=Reals, bounds=(None,None), initialize=0) m.x27 = Var(within=Reals, bounds=(None,None), initialize=0) m.x28 = Var(within=Reals, bounds=(None,None), initialize=0) m.x29 = Var(within=Reals, bounds=(None,None), initialize=0) m.x30 = Var(within=Reals, bounds=(None,None), initialize=0) m.x31 = Var(within=Reals, bounds=(None,None), initialize=0) m.x32 = Var(within=Reals, bounds=(None,None), initialize=0) m.x33 = Var(within=Reals, bounds=(None,None), initialize=0) m.x34 = Var(within=Reals, bounds=(None,None), initialize=0) m.x35 = Var(within=Reals, bounds=(None,None), initialize=0) m.x36 = Var(within=Reals, bounds=(None,None), initialize=0) m.x37 = Var(within=Reals, bounds=(None,None), initialize=0) m.x38 = Var(within=Reals, bounds=(None,None), initialize=0) m.x39 = Var(within=Reals, bounds=(None,None), initialize=0) m.x40 = Var(within=Reals, bounds=(None,None), initialize=0) m.x41 = Var(within=Reals, bounds=(None,None), initialize=0) m.x42 = Var(within=Reals, bounds=(None,None), initialize=0) m.x43 = Var(within=Reals, bounds=(None,None), initialize=0) m.x44 = Var(within=Reals, bounds=(None,None), initialize=0) m.x45 = Var(within=Reals, bounds=(None,None), initialize=0) m.x46 = Var(within=Reals, bounds=(None,None), initialize=0) m.x47 = Var(within=Reals, bounds=(None,None), initialize=0) m.x48 = Var(within=Reals, bounds=(None,None), initialize=0) m.x49 = Var(within=Reals, bounds=(None,None), initialize=0) m.x50 = Var(within=Reals, bounds=(None,None), initialize=0) m.x51 = Var(within=Reals, bounds=(None,None), initialize=0) m.x52 = Var(within=Reals, bounds=(None,None), initialize=0) m.x53 = Var(within=Reals, bounds=(None,None), initialize=0) m.x54 = Var(within=Reals, bounds=(None,None), initialize=0) m.x55 = Var(within=Reals, bounds=(None,None), initialize=0) m.x56 = Var(within=Reals, bounds=(None,None), initialize=0) m.x57 = Var(within=Reals, bounds=(None,None), initialize=0) m.x58 = Var(within=Reals, bounds=(None,None), initialize=0) m.x59 = Var(within=Reals, bounds=(None,None), initialize=0) m.x60 = Var(within=Reals, bounds=(None,None), initialize=0) m.x61 = Var(within=Reals, bounds=(None,None), initialize=0) m.x62 = Var(within=Reals, bounds=(None,None), initialize=0) m.x63 = Var(within=Reals, bounds=(None,None), initialize=0) m.x64 = Var(within=Reals, bounds=(None,None), initialize=0) m.x65 = Var(within=Reals, bounds=(None,None), initialize=0) m.x66 = Var(within=Reals, bounds=(None,None), initialize=0) m.x67 = Var(within=Reals, bounds=(None,None), initialize=0) m.x68 = Var(within=Reals, bounds=(None,None), initialize=0) m.x69 = Var(within=Reals, bounds=(None,None), initialize=0) m.x70 = Var(within=Reals, bounds=(None,None), initialize=0) m.x71 = Var(within=Reals, bounds=(None,None), initialize=0) m.x72 = Var(within=Reals, bounds=(None,None), initialize=0) m.x73 = Var(within=Reals, bounds=(None,None), initialize=0) m.x74 = Var(within=Reals, bounds=(None,None), initialize=0) m.x75 = Var(within=Reals, bounds=(None,None), initialize=0) m.x76 = Var(within=Reals, bounds=(None,None), initialize=0) m.x77 = Var(within=Reals, bounds=(None,None), initialize=0) m.x78 = Var(within=Reals, bounds=(None,None), initialize=0) m.x79 = Var(within=Reals, bounds=(None,None), initialize=0) m.x80 = Var(within=Reals, bounds=(None,None), initialize=0) m.x81 = Var(within=Reals, bounds=(None,None), initialize=0) m.x82 = Var(within=Reals, bounds=(None,None), initialize=0) m.x83 = Var(within=Reals, bounds=(None,None), initialize=0) m.x84 = Var(within=Reals, bounds=(None,None), initialize=0) m.x85 = Var(within=Reals, bounds=(None,None), initialize=0) m.x86 = Var(within=Reals, bounds=(None,None), initialize=0) m.x87 = Var(within=Reals, bounds=(None,None), initialize=0) m.x88 = Var(within=Reals, bounds=(None,None), initialize=0) m.x89 = Var(within=Reals, bounds=(None,None), initialize=0) m.x90 = Var(within=Reals, bounds=(None,None), initialize=0) m.x91 = Var(within=Reals, bounds=(None,None), initialize=0) m.x92 = Var(within=Reals, bounds=(None,None), initialize=0) m.x93 = Var(within=Reals, bounds=(None,None), initialize=0) m.x94 = Var(within=Reals, bounds=(None,None), initialize=0) m.x95 = Var(within=Reals, bounds=(None,None), initialize=0) m.x96 = Var(within=Reals, bounds=(None,None), initialize=0) m.x97 = Var(within=Reals, bounds=(None,None), initialize=0) m.x98 = Var(within=Reals, bounds=(None,None), initialize=0) m.x99 = Var(within=Reals, bounds=(None,None), initialize=0) m.x100 = Var(within=Reals, bounds=(None,None), initialize=0) m.x101 = Var(within=Reals, bounds=(None,None), initialize=0) m.x102 = Var(within=Reals, bounds=(None,None), initialize=0) m.x103 = Var(within=Reals, bounds=(None,None), initialize=0) m.x104 = Var(within=Reals, bounds=(None,None), initialize=0) m.x105 = Var(within=Reals, bounds=(None,None), initialize=0) m.x106 = Var(within=Reals, bounds=(None,None), initialize=0) m.x107 = Var(within=Reals, bounds=(None,None), initialize=0) m.x108 = Var(within=Reals, bounds=(None,None), initialize=0) m.b109 = Var(within=Binary, bounds=(0,1), initialize=0) m.b110 = Var(within=Binary, bounds=(0,1), initialize=0) m.b111 = Var(within=Binary, bounds=(0,1), initialize=0) m.b112 = Var(within=Binary, bounds=(0,1), initialize=0) m.b113 = Var(within=Binary, bounds=(0,1), initialize=0) m.b114 = Var(within=Binary, bounds=(0,1), initialize=0) m.b115 = Var(within=Binary, bounds=(0,1), initialize=0) m.b116 = Var(within=Binary, bounds=(0,1), initialize=0) m.b117 = Var(within=Binary, bounds=(0,1), initialize=0) m.b118 = Var(within=Binary, bounds=(0,1), initialize=0) m.b119 = Var(within=Binary, bounds=(0,1), initialize=0) m.b120 = Var(within=Binary, bounds=(0,1), initialize=0) m.b121 = Var(within=Binary, bounds=(0,1), initialize=0) m.b122 = Var(within=Binary, bounds=(0,1), initialize=0) m.b123 = Var(within=Binary, bounds=(0,1), initialize=0) m.b124 = Var(within=Binary, bounds=(0,1), initialize=0) m.b125 = Var(within=Binary, bounds=(0,1), initialize=0) m.b126 = Var(within=Binary, bounds=(0,1), initialize=0) m.b127 = Var(within=Binary, bounds=(0,1), initialize=0) m.b128 = Var(within=Binary, bounds=(0,1), initialize=0) m.x129 = Var(within=Reals, bounds=(None,None), initialize=0) m.x130 = Var(within=Reals, bounds=(None,None), initialize=0) m.x131 = Var(within=Reals, bounds=(None,None), initialize=0) m.x132 = Var(within=Reals, bounds=(None,None), initialize=0) m.x133 = Var(within=Reals, bounds=(None,None), initialize=0) m.x134 = Var(within=Reals, bounds=(None,None), initialize=0) m.x135 = Var(within=Reals, bounds=(None,None), initialize=0) m.x136 = Var(within=Reals, bounds=(None,None), initialize=0) m.x137 = Var(within=Reals, bounds=(None,None), initialize=0) m.x138 = Var(within=Reals, bounds=(None,None), initialize=0) m.obj = Objective(sense=minimize, expr= 430.293 * m.x129**2 + 2000 * m.x129 + 2500 * m.x130**2 + 2000 * m.x130 + 100 * m.x131**2 + 4000 * m.x131 + 100 * m.x132**2 + 4000 * m.x132 + 100 * m.x133**2 + 4000 * m.x133) m.e1 = Constraint(expr= -m.b109 * (1.1350191923074 * (m.x82**2 + m.x96**2) - 1.1350191923074 * (m.x82 * m.x83 + m.x96 * m.x97) + 4.78186315175772 * ( m.x82 * m.x97 - m.x83 * m.x96)) + m.x1 == 0) m.e2 = Constraint(expr= -m.b109 * (1.1350191923074 * (m.x83**2 + m.x97**2) - 1.1350191923074 * (m.x83 * m.x82 + m.x97 * m.x96) + 4.78186315175772 * ( m.x83 * m.x96 - m.x82 * m.x97)) + m.x2 == 0) m.e3 = Constraint(expr= -9.09008271975275 * (m.x87 * m.x103 - m.x89 * m.x101) * m.b110 + m.x3 == 0) m.e4 = Constraint(expr= -9.09008271975275 * (m.x89 * m.x101 - m.x87 * m.x103) * m.b110 + m.x4 == 0) m.e5 = Constraint(expr= -m.b111 * (1.8808847537004 * (m.x90**2 + m.x104**2) - 1.8808847537004 * (m.x90 * m.x91 + m.x104 * m.x105) + 4.40294374946052 * ( m.x90 * m.x105 - m.x91 * m.x104)) + m.x5 == 0) m.e6 = Constraint(expr= -m.b111 * (1.8808847537004 * (m.x91**2 + m.x105**2) - 1.8808847537004 * (m.x91 * m.x90 + m.x105 * m.x104) + 4.40294374946052 * ( m.x91 * m.x104 - m.x90 * m.x105)) + m.x6 == 0) m.e7 = Constraint(expr= -4.78194338179036 * (m.x84 * m.x101 - m.x87 * m.x98) * m.b112 + m.x7 == 0) m.e8 = Constraint(expr= -4.78194338179036 * (m.x87 * m.x98 - m.x84 * m.x101) * m.b112 + m.x8 == 0) m.e9 = Constraint(expr= -3.96793905245615 * (m.x85 * m.x100 - m.x86 * m.x99) * m.b113 + m.x9 == 0) m.e10 = Constraint(expr= -3.96793905245615 * (m.x86 * m.x99 - m.x85 * m.x100) * m.b113 + m.x10 == 0) m.e11 = Constraint(expr= -m.b114 * (1.42400548701993 * (m.x89**2 + m.x103**2) - 1.42400548701993 * (m.x89 * m.x94 + m.x103 * m.x108) + 3.0290504569306 * (m.x89 * m.x108 - m.x94 * m.x103)) + m.x11 == 0) m.e12 = Constraint(expr= -m.b114 * (1.42400548701993 * (m.x94**2 + m.x108**2) - 1.42400548701993 * (m.x94 * m.x89 + m.x108 * m.x103) + 3.0290504569306 * (m.x94 * m.x103 - m.x89 * m.x108)) + m.x12 == 0) m.e13 = Constraint(expr= -m.b115 * (6.84098066149567 * (m.x84**2 + m.x98**2) - 6.84098066149567 * (m.x84 * m.x85 + m.x98 * m.x99) + 21.5785539816916 * ( m.x84 * m.x99 - m.x85 * m.x98)) + m.x13 == 0) m.e14 = Constraint(expr= -m.b115 * (6.84098066149567 * (m.x85**2 + m.x99**2) - 6.84098066149567 * (m.x85 * m.x84 + m.x99 * m.x98) + 21.5785539816916 * ( m.x85 * m.x98 - m.x84 * m.x99)) + m.x14 == 0) m.e15 = Constraint(expr= -m.b116 * (3.09892740383799 * (m.x86**2 + m.x100**2) - 3.09892740383799 * (m.x86 * m.x93 + m.x100 * m.x107) + 6.10275544819311 * (m.x86 * m.x107 - m.x93 * m.x100)) + m.x15 == 0) m.e16 = Constraint(expr= -m.b116 * (3.09892740383799 * (m.x93**2 + m.x107**2) - 3.09892740383799 * (m.x93 * m.x86 + m.x107 * m.x100) + 6.10275544819311 * (m.x93 * m.x100 - m.x86 * m.x107)) + m.x16 == 0) m.e17 = Constraint(expr= -5.67697984672154 * (m.x87 * m.x102 - m.x88 * m.x101) * m.b117 + m.x17 == 0) m.e18 = Constraint(expr= -5.67697984672154 * (m.x88 * m.x101 - m.x87 * m.x102) * m.b117 + m.x18 == 0) m.e19 = Constraint(expr= -m.b118 * (1.13699415780633 * (m.x93**2 + m.x107**2) - 1.13699415780633 * (m.x93 * m.x94 + m.x107 * m.x108) + 2.31496347510535 * (m.x93 * m.x108 - m.x94 * m.x107)) + m.x19 == 0) m.e20 = Constraint(expr= -m.b118 * (1.13699415780633 * (m.x94**2 + m.x108**2) - 1.13699415780633 * (m.x94 * m.x93 + m.x108 * m.x107) + 2.31496347510535 * (m.x94 * m.x107 - m.x93 * m.x108)) + m.x20 == 0) m.e21 = Constraint(expr= -m.b119 * (1.52596744045097 * (m.x86**2 + m.x100**2) - 1.52596744045097 * (m.x86 * m.x92 + m.x100 * m.x106) + 3.1759639650294 * (m.x86 * m.x106 - m.x92 * m.x100)) + m.x21 == 0) m.e22 = Constraint(expr= -m.b119 * (1.52596744045097 * (m.x92**2 + m.x106**2) - 1.52596744045097 * (m.x92 * m.x86 + m.x106 * m.x100) + 3.1759639650294 * (m.x92 * m.x100 - m.x86 * m.x106)) + m.x22 == 0) m.e23 = Constraint(expr= -m.b120 * (1.95502856317726 * (m.x86**2 + m.x100**2) - 1.95502856317726 * (m.x86 * m.x91 + m.x100 * m.x105) + 4.09407434424044 * (m.x86 * m.x105 - m.x91 * m.x100)) + m.x23 == 0) m.e24 = Constraint(expr= -m.b120 * (1.95502856317726 * (m.x91**2 + m.x105**2) - 1.95502856317726 * (m.x91 * m.x86 + m.x105 * m.x100) + 4.09407434424044 * (m.x91 * m.x100 - m.x86 * m.x105)) + m.x24 == 0) m.e25 = Constraint(expr= -m.b121 * (2.48902458682192 * (m.x92**2 + m.x106**2) - 2.48902458682192 * (m.x92 * m.x93 + m.x106 * m.x107) + 2.25197462617221 * (m.x92 * m.x107 - m.x93 * m.x106)) + m.x25 == 0) m.e26 = Constraint(expr= -m.b121 * (2.48902458682192 * (m.x93**2 + m.x107**2) - 2.48902458682192 * (m.x93 * m.x92 + m.x107 * m.x106) + 2.25197462617221 * (m.x93 * m.x106 - m.x92 * m.x107)) + m.x26 == 0) m.e27 = Constraint(expr= -m.b122 * (1.02589745497019 * (m.x81**2 + m.x95**2) - 1.02589745497019 * (m.x81 * m.x85 + m.x95 * m.x99) + 4.23498368233483 * ( m.x81 * m.x99 - m.x85 * m.x95)) + m.x27 == 0) m.e28 = Constraint(expr= -m.b122 * (1.02589745497019 * (m.x85**2 + m.x99**2) - 1.02589745497019 * (m.x85 * m.x81 + m.x99 * m.x95) + 4.23498368233483 * ( m.x85 * m.x95 - m.x81 * m.x99)) + m.x28 == 0) m.e29 = Constraint(expr= -m.b123 * (3.90204955244743 * (m.x89**2 + m.x103**2) - 3.90204955244743 * (m.x89 * m.x90 + m.x103 * m.x104) + 10.3653941270609 * (m.x89 * m.x104 - m.x90 * m.x103)) + m.x29 == 0) m.e30 = Constraint(expr= -m.b123 * (3.90204955244743 * (m.x90**2 + m.x104**2) - 3.90204955244743 * (m.x90 * m.x89 + m.x104 * m.x103) + 10.3653941270609 * (m.x90 * m.x103 - m.x89 * m.x104)) + m.x30 == 0) m.e31 = Constraint(expr= -m.b124 * (4.99913160079803 * (m.x81**2 + m.x95**2) - 4.99913160079803 * (m.x81 * m.x82 + m.x95 * m.x96) + 15.2630865231796 * ( m.x81 * m.x96 - m.x82 * m.x95)) + m.x31 == 0) m.e32 = Constraint(expr= -m.b124 * (4.99913160079803 * (m.x82**2 + m.x96**2) - 4.99913160079803 * (m.x82 * m.x81 + m.x96 * m.x95) + 15.2630865231796 * ( m.x82 * m.x95 - m.x81 * m.x96)) + m.x32 == 0) m.e33 = Constraint(expr= -m.b125 * (1.7011396670944 * (m.x82**2 + m.x96**2) - 1.7011396670944 * (m.x82 * m.x85 + m.x96 * m.x99) + 5.19392739796971 * ( m.x82 * m.x99 - m.x85 * m.x96)) + m.x33 == 0) m.e34 = Constraint(expr= -m.b125 * (1.7011396670944 * (m.x85**2 + m.x99**2) - 1.7011396670944 * (m.x85 * m.x82 + m.x99 * m.x96) + 5.19392739796971 * ( m.x85 * m.x96 - m.x82 * m.x99)) + m.x34 == 0) m.e35 = Constraint(expr= -m.b126 * (1.98597570992556 * (m.x83**2 + m.x97**2) - 1.98597570992556 * (m.x83 * m.x84 + m.x97 * m.x98) + 5.06881697759392 * ( m.x83 * m.x98 - m.x84 * m.x97)) + m.x35 == 0) m.e36 = Constraint(expr= -m.b126 * (1.98597570992556 * (m.x84**2 + m.x98**2) - 1.98597570992556 * (m.x84 * m.x83 + m.x98 * m.x97) + 5.06881697759392 * ( m.x84 * m.x97 - m.x83 * m.x98)) + m.x36 == 0) m.e37 = Constraint(expr= -1.79797907152361 * (m.x84 * m.x103 - m.x89 * m.x98) * m.b127 + m.x37 == 0) m.e38 = Constraint(expr= -1.79797907152361 * (m.x89 * m.x98 - m.x84 * m.x103) * m.b127 + m.x38 == 0) m.e39 = Constraint(expr= -m.b128 * (1.68603315061494 * (m.x82**2 + m.x96**2) - 1.68603315061494 * (m.x82 * m.x84 + m.x96 * m.x98) + 5.11583832587208 * ( m.x82 * m.x98 - m.x84 * m.x96)) + m.x39 == 0) m.e40 = Constraint(expr= -m.b128 * (1.68603315061494 * (m.x84**2 + m.x98**2) - 1.68603315061494 * (m.x84 * m.x82 + m.x98 * m.x96) + 5.11583832587208 * ( m.x84 * m.x96 - m.x82 * m.x98)) + m.x40 == 0) m.e41 = Constraint(expr= -m.b109 * (4.75996315175772 * (m.x82**2 + m.x96**2) - 4.78186315175772 * (m.x82 * m.x83 + m.x96 * m.x97) - 1.1350191923074 * ( m.x82 * m.x97 - m.x83 * m.x96)) + m.x41 == 0) m.e42 = Constraint(expr= -m.b109 * (4.75996315175772 * (m.x83**2 + m.x97**2) - 4.78186315175772 * (m.x83 * m.x82 + m.x97 * m.x96) - 1.1350191923074 * ( m.x83 * m.x96 - m.x82 * m.x97)) + m.x42 == 0) m.e43 = Constraint(expr= -m.b110 * (9.09008271975275 * (m.x87**2 + m.x101**2) - 9.09008271975275 * (m.x87 * m.x89 + m.x101 * m.x103)) + m.x43 == 0) m.e44 = Constraint(expr= -m.b110 * (9.09008271975275 * (m.x89**2 + m.x103**2) - 9.09008271975275 * (m.x89 * m.x87 + m.x103 * m.x101)) + m.x44 == 0) m.e45 = Constraint(expr= -m.b111 * (4.40294374946052 * (m.x90**2 + m.x104**2) - 4.40294374946052 * (m.x90 * m.x91 + m.x104 * m.x105) - 1.8808847537004 * (m.x90 * m.x105 - m.x91 * m.x104)) + m.x45 == 0) m.e46 = Constraint(expr= -m.b111 * (4.40294374946052 * (m.x91**2 + m.x105**2) - 4.40294374946052 * (m.x91 * m.x90 + m.x105 * m.x104) - 1.8808847537004 * (m.x91 * m.x104 - m.x90 * m.x105)) + m.x46 == 0) m.e47 = Constraint(expr= -m.b112 * (4.78194338179036 * (m.x84**2 + m.x98**2) - 4.78194338179036 * (m.x84 * m.x87 + m.x98 * m.x101)) + m.x47 == 0) m.e48 = Constraint(expr= -m.b112 * (4.78194338179036 * (m.x87**2 + m.x101**2) - 4.78194338179036 * (m.x87 * m.x84 + m.x101 * m.x98)) + m.x48 == 0) m.e49 = Constraint(expr= -m.b113 * (3.96793905245615 * (m.x85**2 + m.x99**2) - 3.96793905245615 * (m.x85 * m.x86 + m.x99 * m.x100)) + m.x49 == 0) m.e50 = Constraint(expr= -m.b113 * (3.96793905245615 * (m.x86**2 + m.x100**2) - 3.96793905245615 * (m.x86 * m.x85 + m.x100 * m.x99)) + m.x50 == 0) m.e51 = Constraint(expr= -m.b114 * (3.0290504569306 * (m.x89**2 + m.x103**2) - 3.0290504569306 * (m.x89 * m.x94 + m.x103 * m.x108) - 1.42400548701993 * ( m.x89 * m.x108 - m.x94 * m.x103)) + m.x51 == 0) m.e52 = Constraint(expr= -m.b114 * (3.0290504569306 * (m.x94**2 + m.x108**2) - 3.0290504569306 * (m.x94 * m.x89 + m.x108 * m.x103) - 1.42400548701993 * ( m.x94 * m.x103 - m.x89 * m.x108)) + m.x52 == 0) m.e53 = Constraint(expr= -m.b115 * (21.5785539816916 * (m.x84**2 + m.x98**2) - 21.5785539816916 * (m.x84 * m.x85 + m.x98 * m.x99) - 6.84098066149567 * ( m.x84 * m.x99 - m.x85 * m.x98)) + m.x53 == 0) m.e54 = Constraint(expr= -m.b115 * (21.5785539816916 * (m.x85**2 + m.x99**2) - 21.5785539816916 * (m.x85 * m.x84 + m.x99 * m.x98) - 6.84098066149567 * ( m.x85 * m.x98 - m.x84 * m.x99)) + m.x54 == 0) m.e55 = Constraint(expr= -m.b116 * (6.10275544819311 * (m.x86**2 + m.x100**2) - 6.10275544819311 * (m.x86 * m.x93 + m.x100 * m.x107) - 3.09892740383799 * (m.x86 * m.x107 - m.x93 * m.x100)) + m.x55 == 0) m.e56 = Constraint(expr= -m.b116 * (6.10275544819311 * (m.x93**2 + m.x107**2) - 6.10275544819311 * (m.x93 * m.x86 + m.x107 * m.x100) - 3.09892740383799 * (m.x93 * m.x100 - m.x86 * m.x107)) + m.x56 == 0) m.e57 = Constraint(expr= -m.b117 * (5.67697984672154 * (m.x87**2 + m.x101**2) - 5.67697984672154 * (m.x87 * m.x88 + m.x101 * m.x102)) + m.x57 == 0) m.e58 = Constraint(expr= -m.b117 * (5.67697984672154 * (m.x88**2 + m.x102**2) - 5.67697984672154 * (m.x88 * m.x87 + m.x102 * m.x101)) + m.x58 == 0) m.e59 = Constraint(expr= -m.b118 * (2.31496347510535 * (m.x93**2 + m.x107**2) - 2.31496347510535 * (m.x93 * m.x94 + m.x107 * m.x108) - 1.13699415780633 * (m.x93 * m.x108 - m.x94 * m.x107)) + m.x59 == 0) m.e60 = Constraint(expr= -m.b118 * (2.31496347510535 * (m.x94**2 + m.x108**2) - 2.31496347510535 * (m.x94 * m.x93 + m.x108 * m.x107) - 1.13699415780633 * (m.x94 * m.x107 - m.x93 * m.x108)) + m.x60 == 0) m.e61 = Constraint(expr= -m.b119 * (3.1759639650294 * (m.x86**2 + m.x100**2) - 3.1759639650294 * (m.x86 * m.x92 + m.x100 * m.x106) - 1.52596744045097 * ( m.x86 * m.x106 - m.x92 * m.x100)) + m.x61 == 0) m.e62 = Constraint(expr= -m.b119 * (3.1759639650294 * (m.x92**2 + m.x106**2) - 3.1759639650294 * (m.x92 * m.x86 + m.x106 * m.x100) - 1.52596744045097 * ( m.x92 * m.x100 - m.x86 * m.x106)) + m.x62 == 0) m.e63 = Constraint(expr= -m.b120 * (4.09407434424044 * (m.x86**2 + m.x100**2) - 4.09407434424044 * (m.x86 * m.x91 + m.x100 * m.x105) - 1.95502856317726 * (m.x86 * m.x105 - m.x91 * m.x100)) + m.x63 == 0) m.e64 = Constraint(expr= -m.b120 * (4.09407434424044 * (m.x91**2 + m.x105**2) - 4.09407434424044 * (m.x91 * m.x86 + m.x105 * m.x100) - 1.95502856317726 * (m.x91 * m.x100 - m.x86 * m.x105)) + m.x64 == 0) m.e65 = Constraint(expr= -m.b121 * (2.25197462617221 * (m.x92**2 + m.x106**2) - 2.25197462617221 * (m.x92 * m.x93 + m.x106 * m.x107) - 2.48902458682192 * (m.x92 * m.x107 - m.x93 * m.x106)) + m.x65 == 0) m.e66 = Constraint(expr= -m.b121 * (2.25197462617221 * (m.x93**2 + m.x107**2) - 2.25197462617221 * (m.x93 * m.x92 + m.x107 * m.x106) - 2.48902458682192 * (m.x93 * m.x106 - m.x92 * m.x107)) + m.x66 == 0) m.e67 = Constraint(expr= -m.b122 * (4.21038368233483 * (m.x81**2 + m.x95**2) - 4.23498368233483 * (m.x81 * m.x85 + m.x95 * m.x99) - 1.02589745497019 * ( m.x81 * m.x99 - m.x85 * m.x95)) + m.x67 == 0) m.e68 = Constraint(expr= -m.b122 * (4.21038368233483 * (m.x85**2 + m.x99**2) - 4.23498368233483 * (m.x85 * m.x81 + m.x99 * m.x95) - 1.02589745497019 * ( m.x85 * m.x95 - m.x81 * m.x99)) + m.x68 == 0) m.e69 = Constraint(expr= -m.b123 * (10.3653941270609 * (m.x89**2 + m.x103**2) - 10.3653941270609 * (m.x89 * m.x90 + m.x103 * m.x104) - 3.90204955244743 * (m.x89 * m.x104 - m.x90 * m.x103)) + m.x69 == 0) m.e70 = Constraint(expr= -m.b123 * (10.3653941270609 * (m.x90**2 + m.x104**2) - 10.3653941270609 * (m.x90 * m.x89 + m.x104 * m.x103) - 3.90204955244743 * (m.x90 * m.x103 - m.x89 * m.x104)) + m.x70 == 0) m.e71 = Constraint(expr= -m.b124 * (15.2366865231796 * (m.x81**2 + m.x95**2) - 15.2630865231796 * (m.x81 * m.x82 + m.x95 * m.x96) - 4.99913160079803 * ( m.x81 * m.x96 - m.x82 * m.x95)) + m.x71 == 0) m.e72 = Constraint(expr= -m.b124 * (15.2366865231796 * (m.x82**2 + m.x96**2) - 15.2630865231796 * (m.x82 * m.x81 + m.x96 * m.x95) - 4.99913160079803 * ( m.x82 * m.x95 - m.x81 * m.x96)) + m.x72 == 0) m.e73 = Constraint(expr= -m.b125 * (5.17662739796971 * (m.x82**2 + m.x96**2) - 5.19392739796971 * (m.x82 * m.x85 + m.x96 * m.x99) - 1.7011396670944 * ( m.x82 * m.x99 - m.x85 * m.x96)) + m.x73 == 0) m.e74 = Constraint(expr= -m.b125 * (5.17662739796971 * (m.x85**2 + m.x99**2) - 5.19392739796971 * (m.x85 * m.x82 + m.x99 * m.x96) - 1.7011396670944 * ( m.x85 * m.x96 - m.x82 * m.x99)) + m.x74 == 0) m.e75 = Constraint(expr= -m.b126 * (5.06241697759392 * (m.x83**2 + m.x97**2) - 5.06881697759392 * (m.x83 * m.x84 + m.x97 * m.x98) - 1.98597570992556 * ( m.x83 * m.x98 - m.x84 * m.x97)) + m.x75 == 0) m.e76 = Constraint(expr= -m.b126 * (5.06241697759392 * (m.x84**2 + m.x98**2) - 5.06881697759392 * (m.x84 * m.x83 + m.x98 * m.x97) - 1.98597570992556 * ( m.x84 * m.x97 - m.x83 * m.x98)) + m.x76 == 0) m.e77 = Constraint(expr= -m.b127 * (1.79797907152361 * (m.x84**2 + m.x98**2) - 1.79797907152361 * (m.x84 * m.x89 + m.x98 * m.x103)) + m.x77 == 0) m.e78 = Constraint(expr= -m.b127 * (1.79797907152361 * (m.x89**2 + m.x103**2) - 1.79797907152361 * (m.x89 * m.x84 + m.x103 * m.x98)) + m.x78 == 0) m.e79 = Constraint(expr= -m.b128 * (5.09883832587208 * (m.x82**2 + m.x96**2) - 5.11583832587208 * (m.x82 * m.x84 + m.x96 * m.x98) - 1.68603315061494 * ( m.x82 * m.x98 - m.x84 * m.x96)) + m.x79 == 0) m.e80 = Constraint(expr= -m.b128 * (5.09883832587208 * (m.x84**2 + m.x98**2) - 5.11583832587208 * (m.x84 * m.x82 + m.x98 * m.x96) - 1.68603315061494 * ( m.x84 * m.x96 - m.x82 * m.x98)) + m.x80 == 0) m.e81 = Constraint(expr= m.x1**2 + m.x41**2 <= 9801) m.e82 = Constraint(expr= m.x2**2 + m.x42**2 <= 9801) m.e83 = Constraint(expr= m.x3**2 + m.x43**2 <= 9801) m.e84 = Constraint(expr= m.x4**2 + m.x44**2 <= 9801) m.e85 = Constraint(expr= m.x5**2 + m.x45**2 <= 9801) m.e86 = Constraint(expr= m.x6**2 + m.x46**2 <= 9801) m.e87 = Constraint(expr= m.x7**2 + m.x47**2 <= 9801) m.e88 = Constraint(expr= m.x8**2 + m.x48**2 <= 9801) m.e89 = Constraint(expr= m.x9**2 + m.x49**2 <= 9801) m.e90 = Constraint(expr= m.x10**2 + m.x50**2 <= 9801) m.e91 = Constraint(expr= m.x11**2 + m.x51**2 <= 9801) m.e92 = Constraint(expr= m.x12**2 + m.x52**2 <= 9801) m.e93 = Constraint(expr= m.x13**2 + m.x53**2 <= 9801) m.e94 = Constraint(expr= m.x14**2 + m.x54**2 <= 9801) m.e95 = Constraint(expr= m.x15**2 + m.x55**2 <= 9801) m.e96 = Constraint(expr= m.x16**2 + m.x56**2 <= 9801) m.e97 = Constraint(expr= m.x17**2 + m.x57**2 <= 9801) m.e98 = Constraint(expr= m.x18**2 + m.x58**2 <= 9801) m.e99 = Constraint(expr= m.x19**2 + m.x59**2 <= 9801) m.e100 = Constraint(expr= m.x20**2 + m.x60**2 <= 9801) m.e101 = Constraint(expr= m.x21**2 + m.x61**2 <= 9801) m.e102 = Constraint(expr= m.x22**2 + m.x62**2 <= 9801) m.e103 = Constraint(expr= m.x23**2 + m.x63**2 <= 9801) m.e104 = Constraint(expr= m.x24**2 + m.x64**2 <= 9801) m.e105 = Constraint(expr= m.x25**2 + m.x65**2 <= 9801) m.e106 = Constraint(expr= m.x26**2 + m.x66**2 <= 9801) m.e107 = Constraint(expr= m.x27**2 + m.x67**2 <= 9801) m.e108 = Constraint(expr= m.x28**2 + m.x68**2 <= 9801) m.e109 = Constraint(expr= m.x29**2 + m.x69**2 <= 9801) m.e110 = Constraint(expr= m.x30**2 + m.x70**2 <= 9801) m.e111 = Constraint(expr= m.x31**2 + m.x71**2 <= 9801) m.e112 = Constraint(expr= m.x32**2 + m.x72**2 <= 9801) m.e113 = Constraint(expr= m.x33**2 + m.x73**2 <= 9801) m.e114 = Constraint(expr= m.x34**2 + m.x74**2 <= 9801) m.e115 = Constraint(expr= m.x35**2 + m.x75**2 <= 9801) m.e116 = Constraint(expr= m.x36**2 + m.x76**2 <= 9801) m.e117 = Constraint(expr= m.x37**2 + m.x77**2 <= 9801) m.e118 = Constraint(expr= m.x38**2 + m.x78**2 <= 9801) m.e119 = Constraint(expr= m.x39**2 + m.x79**2 <= 9801) m.e120 = Constraint(expr= m.x40**2 + m.x80**2 <= 9801) m.e121 = Constraint(expr= m.x81**2 + m.x95**2 <= 1.1236) m.e122 = Constraint(expr= m.x82**2 + m.x96**2 <= 1.1236) m.e123 = Constraint(expr= m.x83**2 + m.x97**2 <= 1.1236) m.e124 = Constraint(expr= m.x84**2 + m.x98**2 <= 1.1236) m.e125 = Constraint(expr= m.x85**2 + m.x99**2 <= 1.1236) m.e126 = Constraint(expr= m.x86**2 + m.x100**2 <= 1.1236) m.e127 = Constraint(expr= m.x87**2 + m.x101**2 <= 1.1236) m.e128 = Constraint(expr= m.x88**2 + m.x102**2 <= 1.1236) m.e129 = Constraint(expr= m.x89**2 + m.x103**2 <= 1.1236) m.e130 = Constraint(expr= m.x90**2 + m.x104**2 <= 1.1236) m.e131 = Constraint(expr= m.x91**2 + m.x105**2 <= 1.1236) m.e132 = Constraint(expr= m.x92**2 + m.x106**2 <= 1.1236) m.e133 = Constraint(expr= m.x93**2 + m.x107**2 <= 1.1236) m.e134 = Constraint(expr= m.x94**2 + m.x108**2 <= 1.1236) m.e135 = Constraint(expr= m.x81**2 + m.x95**2 >= 0.8836) m.e136 = Constraint(expr= m.x82**2 + m.x96**2 >= 0.8836) m.e137 = Constraint(expr= m.x83**2 + m.x97**2 >= 0.8836) m.e138 = Constraint(expr= m.x84**2 + m.x98**2 >= 0.8836) m.e139 = Constraint(expr= m.x85**2 + m.x99**2 >= 0.8836) m.e140 = Constraint(expr= m.x86**2 + m.x100**2 >= 0.8836) m.e141 = Constraint(expr= m.x87**2 + m.x101**2 >= 0.8836) m.e142 = Constraint(expr= m.x88**2 + m.x102**2 >= 0.8836) m.e143 = Constraint(expr= m.x89**2 + m.x103**2 >= 0.8836) m.e144 = Constraint(expr= m.x90**2 + m.x104**2 >= 0.8836) m.e145 = Constraint(expr= m.x91**2 + m.x105**2 >= 0.8836) m.e146 = Constraint(expr= m.x92**2 + m.x106**2 >= 0.8836) m.e147 = Constraint(expr= m.x93**2 + m.x107**2 >= 0.8836) m.e148 = Constraint(expr= m.x94**2 + m.x108**2 >= 0.8836) m.e149 = Constraint(expr= m.x129 <= 3.324) m.e150 = Constraint(expr= m.x130 <= 1.4) m.e151 = Constraint(expr= m.x131 <= 1) m.e152 = Constraint(expr= m.x132 <= 1) m.e153 = Constraint(expr= m.x133 <= 1) m.e154 = Constraint(expr= m.x129 >= 0) m.e155 = Constraint(expr= m.x130 >= 0) m.e156 = Constraint(expr= m.x131 >= 0) m.e157 = Constraint(expr= m.x132 >= 0) m.e158 = Constraint(expr= m.x133 >= 0) m.e159 = Constraint(expr= m.x134 <= 0.1) m.e160 = Constraint(expr= m.x135 <= 0.5) m.e161 = Constraint(expr= m.x136 <= 0.4) m.e162 = Constraint(expr= m.x137 <= 0.24) m.e163 = Constraint(expr= m.x138 <= 0.24) m.e164 = Constraint(expr= m.x134 >= 0) m.e165 = Constraint(expr= m.x135 >= -0.4) m.e166 = Constraint(expr= m.x136 >= 0) m.e167 = Constraint(expr= m.x137 >= -0.06) m.e168 = Constraint(expr= m.x138 >= -0.06) m.e169 = Constraint(expr= m.x95 == 0) m.e170 = Constraint(expr= m.x27 + m.x31 - m.x129 == 0) m.e171 = Constraint(expr= m.x1 + m.x32 + m.x33 + m.x39 - m.x130 == -0.217) m.e172 = Constraint(expr= m.x2 + m.x35 - m.x131 == -0.942) m.e173 = Constraint(expr= m.x10 + m.x15 + m.x21 + m.x23 - m.x132 == -0.112) m.e174 = Constraint(expr= m.x18 - m.x133 == 0) m.e175 = Constraint(expr= m.x67 + m.x71 - m.x134 == 0) m.e176 = Constraint(expr= m.x41 + m.x72 + m.x73 + m.x79 - m.x135 == -0.127) m.e177 = Constraint(expr= m.x42 + m.x75 - m.x136 == -0.19) m.e178 = Constraint(expr= m.x50 + m.x55 + m.x61 + m.x63 - m.x137 == -0.075) m.e179 = Constraint(expr= m.x58 - m.x138 == 0) m.e180 = Constraint(expr= m.x7 + m.x13 + m.x36 + m.x37 + m.x40 == -0.478) m.e181 = Constraint(expr= m.x9 + m.x14 + m.x28 + m.x34 == -0.076) m.e182 = Constraint(expr= m.x3 + m.x8 + m.x17 == 0) m.e183 = Constraint(expr= m.x4 + m.x11 + m.x29 + m.x38 == -0.295) m.e184 = Constraint(expr= m.x5 + m.x30 == -0.09) m.e185 = Constraint(expr= m.x6 + m.x24 == -0.035) m.e186 = Constraint(expr= m.x22 + m.x25 == -0.061) m.e187 = Constraint(expr= m.x16 + m.x19 + m.x26 == -0.135) m.e188 = Constraint(expr= m.x12 + m.x20 == -0.149) m.e189 = Constraint(expr= m.x47 + m.x53 + m.x76 + m.x77 + m.x80 == 0.039) m.e190 = Constraint(expr= m.x49 + m.x54 + m.x68 + m.x74 == -0.016) m.e191 = Constraint(expr= m.x43 + m.x48 + m.x57 == 0) m.e192 = Constraint(expr= m.x44 + m.x51 + m.x69 + m.x78 == -0.166) m.e193 = Constraint(expr= m.x45 + m.x70 == -0.058) m.e194 = Constraint(expr= m.x46 + m.x64 == -0.018) m.e195 = Constraint(expr= m.x62 + m.x65 == -0.016) m.e196 = Constraint(expr= m.x56 + m.x59 + m.x66 == -0.058) m.e197 = Constraint(expr= m.x52 + m.x60 == -0.05)