#  MINLP written by GAMS Convert at 01/12/18 13:46:07
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#        198      110       24       64        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#        139      119       20        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#        733      192      541        0
# 
#  Reformulation has removed 1 variable and 1 equation


var x1;
var x2;
var x3;
var x4;
var x5;
var x6;
var x7;
var x8;
var x9;
var x10;
var x11;
var x12;
var x13;
var x14;
var x15;
var x16;
var x17;
var x18;
var x19;
var x20;
var x21;
var x22;
var x23;
var x24;
var x25;
var x26;
var x27;
var x28;
var x29;
var x30;
var x31;
var x32;
var x33;
var x34;
var x35;
var x36;
var x37;
var x38;
var x39;
var x40;
var x41;
var x42;
var x43;
var x44;
var x45;
var x46;
var x47;
var x48;
var x49;
var x50;
var x51;
var x52;
var x53;
var x54;
var x55;
var x56;
var x57;
var x58;
var x59;
var x60;
var x61;
var x62;
var x63;
var x64;
var x65;
var x66;
var x67;
var x68;
var x69;
var x70;
var x71;
var x72;
var x73;
var x74;
var x75;
var x76;
var x77;
var x78;
var x79;
var x80;
var x81;
var x82;
var x83;
var x84;
var x85;
var x86;
var x87;
var x88;
var x89;
var x90;
var x91;
var x92;
var x93;
var x94;
var x95;
var x96;
var x97;
var x98;
var x99;
var x100;
var x101;
var x102;
var x103;
var x104;
var x105;
var x106;
var x107;
var x108;
var b109 binary >= 0, <= 1;
var b110 binary >= 0, <= 1;
var b111 binary >= 0, <= 1;
var b112 binary >= 0, <= 1;
var b113 binary >= 0, <= 1;
var b114 binary >= 0, <= 1;
var b115 binary >= 0, <= 1;
var b116 binary >= 0, <= 1;
var b117 binary >= 0, <= 1;
var b118 binary >= 0, <= 1;
var b119 binary >= 0, <= 1;
var b120 binary >= 0, <= 1;
var b121 binary >= 0, <= 1;
var b122 binary >= 0, <= 1;
var b123 binary >= 0, <= 1;
var b124 binary >= 0, <= 1;
var b125 binary >= 0, <= 1;
var b126 binary >= 0, <= 1;
var b127 binary >= 0, <= 1;
var b128 binary >= 0, <= 1;
var x129;
var x130;
var x131;
var x132;
var x133;
var x134;
var x135;
var x136;
var x137;
var x138;

minimize obj: 430.293*x129^2 + 2000*x129 + 2500*x130^2 + 2000*x130 + 100*x131^2
     + 4000*x131 + 100*x132^2 + 4000*x132 + 100*x133^2 + 4000*x133;

subject to

e2: -(1.1350191923074*(x82^2 + x96^2) - 1.1350191923074*(x82*x83 + x96*x97) + 
    4.78186315175772*(x82*x97 - x83*x96))*b109 + x1 = 0;

e3: -(1.1350191923074*(x83^2 + x97^2) - 1.1350191923074*(x83*x82 + x97*x96) + 
    4.78186315175772*(x83*x96 - x82*x97))*b109 + x2 = 0;

e4: -9.09008271975275*(x87*x103 - x89*x101)*b110 + x3 = 0;

e5: -9.09008271975275*(x89*x101 - x87*x103)*b110 + x4 = 0;

e6: -(1.8808847537004*(x90^2 + x104^2) - 1.8808847537004*(x90*x91 + x104*x105)
     + 4.40294374946052*(x90*x105 - x91*x104))*b111 + x5 = 0;

e7: -(1.8808847537004*(x91^2 + x105^2) - 1.8808847537004*(x91*x90 + x105*x104)
     + 4.40294374946052*(x91*x104 - x90*x105))*b111 + x6 = 0;

e8: -4.78194338179036*(x84*x101 - x87*x98)*b112 + x7 = 0;

e9: -4.78194338179036*(x87*x98 - x84*x101)*b112 + x8 = 0;

e10: -3.96793905245615*(x85*x100 - x86*x99)*b113 + x9 = 0;

e11: -3.96793905245615*(x86*x99 - x85*x100)*b113 + x10 = 0;

e12: -(1.42400548701993*(x89^2 + x103^2) - 1.42400548701993*(x89*x94 + x103*
     x108) + 3.0290504569306*(x89*x108 - x94*x103))*b114 + x11 = 0;

e13: -(1.42400548701993*(x94^2 + x108^2) - 1.42400548701993*(x94*x89 + x108*
     x103) + 3.0290504569306*(x94*x103 - x89*x108))*b114 + x12 = 0;

e14: -(6.84098066149567*(x84^2 + x98^2) - 6.84098066149567*(x84*x85 + x98*x99)
      + 21.5785539816916*(x84*x99 - x85*x98))*b115 + x13 = 0;

e15: -(6.84098066149567*(x85^2 + x99^2) - 6.84098066149567*(x85*x84 + x99*x98)
      + 21.5785539816916*(x85*x98 - x84*x99))*b115 + x14 = 0;

e16: -(3.09892740383799*(x86^2 + x100^2) - 3.09892740383799*(x86*x93 + x100*
     x107) + 6.10275544819311*(x86*x107 - x93*x100))*b116 + x15 = 0;

e17: -(3.09892740383799*(x93^2 + x107^2) - 3.09892740383799*(x93*x86 + x107*
     x100) + 6.10275544819311*(x93*x100 - x86*x107))*b116 + x16 = 0;

e18: -5.67697984672154*(x87*x102 - x88*x101)*b117 + x17 = 0;

e19: -5.67697984672154*(x88*x101 - x87*x102)*b117 + x18 = 0;

e20: -(1.13699415780633*(x93^2 + x107^2) - 1.13699415780633*(x93*x94 + x107*
     x108) + 2.31496347510535*(x93*x108 - x94*x107))*b118 + x19 = 0;

e21: -(1.13699415780633*(x94^2 + x108^2) - 1.13699415780633*(x94*x93 + x108*
     x107) + 2.31496347510535*(x94*x107 - x93*x108))*b118 + x20 = 0;

e22: -(1.52596744045097*(x86^2 + x100^2) - 1.52596744045097*(x86*x92 + x100*
     x106) + 3.1759639650294*(x86*x106 - x92*x100))*b119 + x21 = 0;

e23: -(1.52596744045097*(x92^2 + x106^2) - 1.52596744045097*(x92*x86 + x106*
     x100) + 3.1759639650294*(x92*x100 - x86*x106))*b119 + x22 = 0;

e24: -(1.95502856317726*(x86^2 + x100^2) - 1.95502856317726*(x86*x91 + x100*
     x105) + 4.09407434424044*(x86*x105 - x91*x100))*b120 + x23 = 0;

e25: -(1.95502856317726*(x91^2 + x105^2) - 1.95502856317726*(x91*x86 + x105*
     x100) + 4.09407434424044*(x91*x100 - x86*x105))*b120 + x24 = 0;

e26: -(2.48902458682192*(x92^2 + x106^2) - 2.48902458682192*(x92*x93 + x106*
     x107) + 2.25197462617221*(x92*x107 - x93*x106))*b121 + x25 = 0;

e27: -(2.48902458682192*(x93^2 + x107^2) - 2.48902458682192*(x93*x92 + x107*
     x106) + 2.25197462617221*(x93*x106 - x92*x107))*b121 + x26 = 0;

e28: -(1.02589745497019*(x81^2 + x95^2) - 1.02589745497019*(x81*x85 + x95*x99)
      + 4.23498368233483*(x81*x99 - x85*x95))*b122 + x27 = 0;

e29: -(1.02589745497019*(x85^2 + x99^2) - 1.02589745497019*(x85*x81 + x99*x95)
      + 4.23498368233483*(x85*x95 - x81*x99))*b122 + x28 = 0;

e30: -(3.90204955244743*(x89^2 + x103^2) - 3.90204955244743*(x89*x90 + x103*
     x104) + 10.3653941270609*(x89*x104 - x90*x103))*b123 + x29 = 0;

e31: -(3.90204955244743*(x90^2 + x104^2) - 3.90204955244743*(x90*x89 + x104*
     x103) + 10.3653941270609*(x90*x103 - x89*x104))*b123 + x30 = 0;

e32: -(4.99913160079803*(x81^2 + x95^2) - 4.99913160079803*(x81*x82 + x95*x96)
      + 15.2630865231796*(x81*x96 - x82*x95))*b124 + x31 = 0;

e33: -(4.99913160079803*(x82^2 + x96^2) - 4.99913160079803*(x82*x81 + x96*x95)
      + 15.2630865231796*(x82*x95 - x81*x96))*b124 + x32 = 0;

e34: -(1.7011396670944*(x82^2 + x96^2) - 1.7011396670944*(x82*x85 + x96*x99) + 
     5.19392739796971*(x82*x99 - x85*x96))*b125 + x33 = 0;

e35: -(1.7011396670944*(x85^2 + x99^2) - 1.7011396670944*(x85*x82 + x99*x96) + 
     5.19392739796971*(x85*x96 - x82*x99))*b125 + x34 = 0;

e36: -(1.98597570992556*(x83^2 + x97^2) - 1.98597570992556*(x83*x84 + x97*x98)
      + 5.06881697759392*(x83*x98 - x84*x97))*b126 + x35 = 0;

e37: -(1.98597570992556*(x84^2 + x98^2) - 1.98597570992556*(x84*x83 + x98*x97)
      + 5.06881697759392*(x84*x97 - x83*x98))*b126 + x36 = 0;

e38: -1.79797907152361*(x84*x103 - x89*x98)*b127 + x37 = 0;

e39: -1.79797907152361*(x89*x98 - x84*x103)*b127 + x38 = 0;

e40: -(1.68603315061494*(x82^2 + x96^2) - 1.68603315061494*(x82*x84 + x96*x98)
      + 5.11583832587208*(x82*x98 - x84*x96))*b128 + x39 = 0;

e41: -(1.68603315061494*(x84^2 + x98^2) - 1.68603315061494*(x84*x82 + x98*x96)
      + 5.11583832587208*(x84*x96 - x82*x98))*b128 + x40 = 0;

e42: -(4.75996315175772*(x82^2 + x96^2) - 4.78186315175772*(x82*x83 + x96*x97)
      - 1.1350191923074*(x82*x97 - x83*x96))*b109 + x41 = 0;

e43: -(4.75996315175772*(x83^2 + x97^2) - 4.78186315175772*(x83*x82 + x97*x96)
      - 1.1350191923074*(x83*x96 - x82*x97))*b109 + x42 = 0;

e44: -(9.09008271975275*(x87^2 + x101^2) - 9.09008271975275*(x87*x89 + x101*
     x103))*b110 + x43 = 0;

e45: -(9.09008271975275*(x89^2 + x103^2) - 9.09008271975275*(x89*x87 + x103*
     x101))*b110 + x44 = 0;

e46: -(4.40294374946052*(x90^2 + x104^2) - 4.40294374946052*(x90*x91 + x104*
     x105) - 1.8808847537004*(x90*x105 - x91*x104))*b111 + x45 = 0;

e47: -(4.40294374946052*(x91^2 + x105^2) - 4.40294374946052*(x91*x90 + x105*
     x104) - 1.8808847537004*(x91*x104 - x90*x105))*b111 + x46 = 0;

e48: -(4.78194338179036*(x84^2 + x98^2) - 4.78194338179036*(x84*x87 + x98*x101)
     )*b112 + x47 = 0;

e49: -(4.78194338179036*(x87^2 + x101^2) - 4.78194338179036*(x87*x84 + x101*x98
     ))*b112 + x48 = 0;

e50: -(3.96793905245615*(x85^2 + x99^2) - 3.96793905245615*(x85*x86 + x99*x100)
     )*b113 + x49 = 0;

e51: -(3.96793905245615*(x86^2 + x100^2) - 3.96793905245615*(x86*x85 + x100*x99
     ))*b113 + x50 = 0;

e52: -(3.0290504569306*(x89^2 + x103^2) - 3.0290504569306*(x89*x94 + x103*x108)
      - 1.42400548701993*(x89*x108 - x94*x103))*b114 + x51 = 0;

e53: -(3.0290504569306*(x94^2 + x108^2) - 3.0290504569306*(x94*x89 + x108*x103)
      - 1.42400548701993*(x94*x103 - x89*x108))*b114 + x52 = 0;

e54: -(21.5785539816916*(x84^2 + x98^2) - 21.5785539816916*(x84*x85 + x98*x99)
      - 6.84098066149567*(x84*x99 - x85*x98))*b115 + x53 = 0;

e55: -(21.5785539816916*(x85^2 + x99^2) - 21.5785539816916*(x85*x84 + x99*x98)
      - 6.84098066149567*(x85*x98 - x84*x99))*b115 + x54 = 0;

e56: -(6.10275544819311*(x86^2 + x100^2) - 6.10275544819311*(x86*x93 + x100*
     x107) - 3.09892740383799*(x86*x107 - x93*x100))*b116 + x55 = 0;

e57: -(6.10275544819311*(x93^2 + x107^2) - 6.10275544819311*(x93*x86 + x107*
     x100) - 3.09892740383799*(x93*x100 - x86*x107))*b116 + x56 = 0;

e58: -(5.67697984672154*(x87^2 + x101^2) - 5.67697984672154*(x87*x88 + x101*
     x102))*b117 + x57 = 0;

e59: -(5.67697984672154*(x88^2 + x102^2) - 5.67697984672154*(x88*x87 + x102*
     x101))*b117 + x58 = 0;

e60: -(2.31496347510535*(x93^2 + x107^2) - 2.31496347510535*(x93*x94 + x107*
     x108) - 1.13699415780633*(x93*x108 - x94*x107))*b118 + x59 = 0;

e61: -(2.31496347510535*(x94^2 + x108^2) - 2.31496347510535*(x94*x93 + x108*
     x107) - 1.13699415780633*(x94*x107 - x93*x108))*b118 + x60 = 0;

e62: -(3.1759639650294*(x86^2 + x100^2) - 3.1759639650294*(x86*x92 + x100*x106)
      - 1.52596744045097*(x86*x106 - x92*x100))*b119 + x61 = 0;

e63: -(3.1759639650294*(x92^2 + x106^2) - 3.1759639650294*(x92*x86 + x106*x100)
      - 1.52596744045097*(x92*x100 - x86*x106))*b119 + x62 = 0;

e64: -(4.09407434424044*(x86^2 + x100^2) - 4.09407434424044*(x86*x91 + x100*
     x105) - 1.95502856317726*(x86*x105 - x91*x100))*b120 + x63 = 0;

e65: -(4.09407434424044*(x91^2 + x105^2) - 4.09407434424044*(x91*x86 + x105*
     x100) - 1.95502856317726*(x91*x100 - x86*x105))*b120 + x64 = 0;

e66: -(2.25197462617221*(x92^2 + x106^2) - 2.25197462617221*(x92*x93 + x106*
     x107) - 2.48902458682192*(x92*x107 - x93*x106))*b121 + x65 = 0;

e67: -(2.25197462617221*(x93^2 + x107^2) - 2.25197462617221*(x93*x92 + x107*
     x106) - 2.48902458682192*(x93*x106 - x92*x107))*b121 + x66 = 0;

e68: -(4.21038368233483*(x81^2 + x95^2) - 4.23498368233483*(x81*x85 + x95*x99)
      - 1.02589745497019*(x81*x99 - x85*x95))*b122 + x67 = 0;

e69: -(4.21038368233483*(x85^2 + x99^2) - 4.23498368233483*(x85*x81 + x99*x95)
      - 1.02589745497019*(x85*x95 - x81*x99))*b122 + x68 = 0;

e70: -(10.3653941270609*(x89^2 + x103^2) - 10.3653941270609*(x89*x90 + x103*
     x104) - 3.90204955244743*(x89*x104 - x90*x103))*b123 + x69 = 0;

e71: -(10.3653941270609*(x90^2 + x104^2) - 10.3653941270609*(x90*x89 + x104*
     x103) - 3.90204955244743*(x90*x103 - x89*x104))*b123 + x70 = 0;

e72: -(15.2366865231796*(x81^2 + x95^2) - 15.2630865231796*(x81*x82 + x95*x96)
      - 4.99913160079803*(x81*x96 - x82*x95))*b124 + x71 = 0;

e73: -(15.2366865231796*(x82^2 + x96^2) - 15.2630865231796*(x82*x81 + x96*x95)
      - 4.99913160079803*(x82*x95 - x81*x96))*b124 + x72 = 0;

e74: -(5.17662739796971*(x82^2 + x96^2) - 5.19392739796971*(x82*x85 + x96*x99)
      - 1.7011396670944*(x82*x99 - x85*x96))*b125 + x73 = 0;

e75: -(5.17662739796971*(x85^2 + x99^2) - 5.19392739796971*(x85*x82 + x99*x96)
      - 1.7011396670944*(x85*x96 - x82*x99))*b125 + x74 = 0;

e76: -(5.06241697759392*(x83^2 + x97^2) - 5.06881697759392*(x83*x84 + x97*x98)
      - 1.98597570992556*(x83*x98 - x84*x97))*b126 + x75 = 0;

e77: -(5.06241697759392*(x84^2 + x98^2) - 5.06881697759392*(x84*x83 + x98*x97)
      - 1.98597570992556*(x84*x97 - x83*x98))*b126 + x76 = 0;

e78: -(1.79797907152361*(x84^2 + x98^2) - 1.79797907152361*(x84*x89 + x98*x103)
     )*b127 + x77 = 0;

e79: -(1.79797907152361*(x89^2 + x103^2) - 1.79797907152361*(x89*x84 + x103*x98
     ))*b127 + x78 = 0;

e80: -(5.09883832587208*(x82^2 + x96^2) - 5.11583832587208*(x82*x84 + x96*x98)
      - 1.68603315061494*(x82*x98 - x84*x96))*b128 + x79 = 0;

e81: -(5.09883832587208*(x84^2 + x98^2) - 5.11583832587208*(x84*x82 + x98*x96)
      - 1.68603315061494*(x84*x96 - x82*x98))*b128 + x80 = 0;

e82: x1^2 + x41^2 <= 9801;

e83: x2^2 + x42^2 <= 9801;

e84: x3^2 + x43^2 <= 9801;

e85: x4^2 + x44^2 <= 9801;

e86: x5^2 + x45^2 <= 9801;

e87: x6^2 + x46^2 <= 9801;

e88: x7^2 + x47^2 <= 9801;

e89: x8^2 + x48^2 <= 9801;

e90: x9^2 + x49^2 <= 9801;

e91: x10^2 + x50^2 <= 9801;

e92: x11^2 + x51^2 <= 9801;

e93: x12^2 + x52^2 <= 9801;

e94: x13^2 + x53^2 <= 9801;

e95: x14^2 + x54^2 <= 9801;

e96: x15^2 + x55^2 <= 9801;

e97: x16^2 + x56^2 <= 9801;

e98: x17^2 + x57^2 <= 9801;

e99: x18^2 + x58^2 <= 9801;

e100: x19^2 + x59^2 <= 9801;

e101: x20^2 + x60^2 <= 9801;

e102: x21^2 + x61^2 <= 9801;

e103: x22^2 + x62^2 <= 9801;

e104: x23^2 + x63^2 <= 9801;

e105: x24^2 + x64^2 <= 9801;

e106: x25^2 + x65^2 <= 9801;

e107: x26^2 + x66^2 <= 9801;

e108: x27^2 + x67^2 <= 9801;

e109: x28^2 + x68^2 <= 9801;

e110: x29^2 + x69^2 <= 9801;

e111: x30^2 + x70^2 <= 9801;

e112: x31^2 + x71^2 <= 9801;

e113: x32^2 + x72^2 <= 9801;

e114: x33^2 + x73^2 <= 9801;

e115: x34^2 + x74^2 <= 9801;

e116: x35^2 + x75^2 <= 9801;

e117: x36^2 + x76^2 <= 9801;

e118: x37^2 + x77^2 <= 9801;

e119: x38^2 + x78^2 <= 9801;

e120: x39^2 + x79^2 <= 9801;

e121: x40^2 + x80^2 <= 9801;

e122: x81^2 + x95^2 <= 1.1236;

e123: x82^2 + x96^2 <= 1.1236;

e124: x83^2 + x97^2 <= 1.1236;

e125: x84^2 + x98^2 <= 1.1236;

e126: x85^2 + x99^2 <= 1.1236;

e127: x86^2 + x100^2 <= 1.1236;

e128: x87^2 + x101^2 <= 1.1236;

e129: x88^2 + x102^2 <= 1.1236;

e130: x89^2 + x103^2 <= 1.1236;

e131: x90^2 + x104^2 <= 1.1236;

e132: x91^2 + x105^2 <= 1.1236;

e133: x92^2 + x106^2 <= 1.1236;

e134: x93^2 + x107^2 <= 1.1236;

e135: x94^2 + x108^2 <= 1.1236;

e136: x81^2 + x95^2 >= 0.8836;

e137: x82^2 + x96^2 >= 0.8836;

e138: x83^2 + x97^2 >= 0.8836;

e139: x84^2 + x98^2 >= 0.8836;

e140: x85^2 + x99^2 >= 0.8836;

e141: x86^2 + x100^2 >= 0.8836;

e142: x87^2 + x101^2 >= 0.8836;

e143: x88^2 + x102^2 >= 0.8836;

e144: x89^2 + x103^2 >= 0.8836;

e145: x90^2 + x104^2 >= 0.8836;

e146: x91^2 + x105^2 >= 0.8836;

e147: x92^2 + x106^2 >= 0.8836;

e148: x93^2 + x107^2 >= 0.8836;

e149: x94^2 + x108^2 >= 0.8836;

e150:    x129 <= 3.324;

e151:    x130 <= 1.4;

e152:    x131 <= 1;

e153:    x132 <= 1;

e154:    x133 <= 1;

e155:    x129 >= 0;

e156:    x130 >= 0;

e157:    x131 >= 0;

e158:    x132 >= 0;

e159:    x133 >= 0;

e160:    x134 <= 0.1;

e161:    x135 <= 0.5;

e162:    x136 <= 0.4;

e163:    x137 <= 0.24;

e164:    x138 <= 0.24;

e165:    x134 >= 0;

e166:    x135 >= -0.4;

e167:    x136 >= 0;

e168:    x137 >= -0.06;

e169:    x138 >= -0.06;

e170:    x95 = 0;

e171:    x27 + x31 - x129 = 0;

e172:    x1 + x32 + x33 + x39 - x130 = -0.217;

e173:    x2 + x35 - x131 = -0.942;

e174:    x10 + x15 + x21 + x23 - x132 = -0.112;

e175:    x18 - x133 = 0;

e176:    x67 + x71 - x134 = 0;

e177:    x41 + x72 + x73 + x79 - x135 = -0.127;

e178:    x42 + x75 - x136 = -0.19;

e179:    x50 + x55 + x61 + x63 - x137 = -0.075;

e180:    x58 - x138 = 0;

e181:    x7 + x13 + x36 + x37 + x40 = -0.478;

e182:    x9 + x14 + x28 + x34 = -0.076;

e183:    x3 + x8 + x17 = 0;

e184:    x4 + x11 + x29 + x38 = -0.295;

e185:    x5 + x30 = -0.09;

e186:    x6 + x24 = -0.035;

e187:    x22 + x25 = -0.061;

e188:    x16 + x19 + x26 = -0.135;

e189:    x12 + x20 = -0.149;

e190:    x47 + x53 + x76 + x77 + x80 = 0.039;

e191:    x49 + x54 + x68 + x74 = -0.016;

e192:    x43 + x48 + x57 = 0;

e193:    x44 + x51 + x69 + x78 = -0.166;

e194:    x45 + x70 = -0.058;

e195:    x46 + x64 = -0.018;

e196:    x62 + x65 = -0.016;

e197:    x56 + x59 + x66 = -0.058;

e198:    x52 + x60 = -0.05;