interactions = [
{
    'id': 1,
    'particles': [24,-24,22],
    'color': [],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX3'},
    'orders': {'QED': 1}
},{
    'id': 2,
    'particles': [21,21,21],
    'color': [1 I f(0,1,2)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX1'},
    'orders': {'QCD': 1}
},{
    'id': 3,
    'particles': [-24,24,23],
    'color': [],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX5'},
    'orders': {'QED': 1}
},{
    'id': 4,
    'particles': [24,22,-24,22],
    'color': [],
    'lorentz': ['WWVVN'],
    'couplings': {(0, 0): 'MGVX4'},
    'orders': {'QED': 2}
},{
    'id': 5,
    'particles': [24,22,-24,23],
    'color': [],
    'lorentz': ['WWVVN'],
    'couplings': {(0, 0): 'MGVX7'},
    'orders': {'QED': 2}
},{
    'id': 6,
    'particles': [21,21,8000002],
    'color': [1 I f(0,1,2)],
    'lorentz': ['A'],
    'couplings': {(0, 0): 'MGVX2'},
    'orders': {'QCD': 1}
},{
    'id': 7,
    'particles': [24,-24,24,-24],
    'color': [],
    'lorentz': ['WWVVN'],
    'couplings': {(0, 0): 'MGVX6'},
    'orders': {'QED': 2}
},{
    'id': 8,
    'particles': [24,23,-24,23],
    'color': [],
    'lorentz': ['WWVVN'],
    'couplings': {(0, 0): 'MGVX8'},
    'orders': {'QED': 2}
},{
    'id': 9,
    'particles': [-11,11,22],
    'color': [],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX24'},
    'orders': {'QED': 1}
},{
    'id': 10,
    'particles': [-13,13,22],
    'color': [],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX24'},
    'orders': {'QED': 1}
},{
    'id': 11,
    'particles': [-15,15,22],
    'color': [],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX24'},
    'orders': {'QED': 1}
},{
    'id': 12,
    'particles': [-11,12,-24],
    'color': [],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX30'},
    'orders': {'QED': 1}
},{
    'id': 13,
    'particles': [-13,14,-24],
    'color': [],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX30'},
    'orders': {'QED': 1}
},{
    'id': 14,
    'particles': [-15,16,-24],
    'color': [],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX30'},
    'orders': {'QED': 1}
},{
    'id': 15,
    'particles': [-12,11,24],
    'color': [],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX30'},
    'orders': {'QED': 1}
},{
    'id': 16,
    'particles': [-14,13,24],
    'color': [],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX30'},
    'orders': {'QED': 1}
},{
    'id': 17,
    'particles': [-16,15,24],
    'color': [],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX30'},
    'orders': {'QED': 1}
},{
    'id': 18,
    'particles': [-11,11,23],
    'color': [],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX57'},
    'orders': {'QED': 1}
},{
    'id': 19,
    'particles': [-13,13,23],
    'color': [],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX57'},
    'orders': {'QED': 1}
},{
    'id': 20,
    'particles': [-15,15,23],
    'color': [],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX57'},
    'orders': {'QED': 1}
},{
    'id': 21,
    'particles': [-12,12,23],
    'color': [],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX63'},
    'orders': {'QED': 1}
},{
    'id': 22,
    'particles': [-14,14,23],
    'color': [],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX63'},
    'orders': {'QED': 1}
},{
    'id': 23,
    'particles': [-16,16,23],
    'color': [],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX63'},
    'orders': {'QED': 1}
},{
    'id': 24,
    'particles': [-11,11,25],
    'color': [],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX69'},
    'orders': {'QED': 1}
},{
    'id': 25,
    'particles': [-13,13,25],
    'color': [],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX70'},
    'orders': {'QED': 1}
},{
    'id': 26,
    'particles': [-15,15,25],
    'color': [],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX71'},
    'orders': {'QED': 1}
},{
    'id': 27,
    'particles': [-5,5,22],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX21'},
    'orders': {'QED': 1}
},{
    'id': 28,
    'particles': [-4,4,22],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX27'},
    'orders': {'QED': 1}
},{
    'id': 29,
    'particles': [-1,1,22],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX21'},
    'orders': {'QED': 1}
},{
    'id': 30,
    'particles': [-3,3,22],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX21'},
    'orders': {'QED': 1}
},{
    'id': 31,
    'particles': [-6,6,22],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX27'},
    'orders': {'QED': 1}
},{
    'id': 32,
    'particles': [-2,2,22],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX27'},
    'orders': {'QED': 1}
},{
    'id': 33,
    'particles': [-5,5,25],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX68'},
    'orders': {'QED': 1}
},{
    'id': 34,
    'particles': [-4,4,25],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX73'},
    'orders': {'QED': 1}
},{
    'id': 35,
    'particles': [-1,1,25],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX66'},
    'orders': {'QED': 1}
},{
    'id': 36,
    'particles': [-3,3,25],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX67'},
    'orders': {'QED': 1}
},{
    'id': 37,
    'particles': [-6,6,25],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX74'},
    'orders': {'QED': 1}
},{
    'id': 38,
    'particles': [-2,2,25],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX72'},
    'orders': {'QED': 1}
},{
    'id': 39,
    'particles': [-5,4,-24],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX33'},
    'orders': {'QED': 1}
},{
    'id': 40,
    'particles': [-1,4,-24],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX34'},
    'orders': {'QED': 1}
},{
    'id': 41,
    'particles': [-3,4,-24],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX35'},
    'orders': {'QED': 1}
},{
    'id': 42,
    'particles': [-5,6,-24],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX36'},
    'orders': {'QED': 1}
},{
    'id': 43,
    'particles': [-1,6,-24],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX37'},
    'orders': {'QED': 1}
},{
    'id': 44,
    'particles': [-3,6,-24],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX38'},
    'orders': {'QED': 1}
},{
    'id': 45,
    'particles': [-5,2,-24],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX39'},
    'orders': {'QED': 1}
},{
    'id': 46,
    'particles': [-1,2,-24],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX40'},
    'orders': {'QED': 1}
},{
    'id': 47,
    'particles': [-3,2,-24],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX41'},
    'orders': {'QED': 1}
},{
    'id': 48,
    'particles': [-4,5,24],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX45'},
    'orders': {'QED': 1}
},{
    'id': 49,
    'particles': [-6,5,24],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX46'},
    'orders': {'QED': 1}
},{
    'id': 50,
    'particles': [-2,5,24],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX47'},
    'orders': {'QED': 1}
},{
    'id': 51,
    'particles': [-4,1,24],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX48'},
    'orders': {'QED': 1}
},{
    'id': 52,
    'particles': [-6,1,24],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX49'},
    'orders': {'QED': 1}
},{
    'id': 53,
    'particles': [-2,1,24],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX50'},
    'orders': {'QED': 1}
},{
    'id': 54,
    'particles': [-4,3,24],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX51'},
    'orders': {'QED': 1}
},{
    'id': 55,
    'particles': [-6,3,24],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX52'},
    'orders': {'QED': 1}
},{
    'id': 56,
    'particles': [-2,3,24],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX53'},
    'orders': {'QED': 1}
},{
    'id': 57,
    'particles': [-5,5,23],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX54'},
    'orders': {'QED': 1}
},{
    'id': 58,
    'particles': [-4,4,23],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX60'},
    'orders': {'QED': 1}
},{
    'id': 59,
    'particles': [-1,1,23],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX54'},
    'orders': {'QED': 1}
},{
    'id': 60,
    'particles': [-3,3,23],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX54'},
    'orders': {'QED': 1}
},{
    'id': 61,
    'particles': [-6,6,23],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX60'},
    'orders': {'QED': 1}
},{
    'id': 62,
    'particles': [-2,2,23],
    'color': [1 T(1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX60'},
    'orders': {'QED': 1}
},{
    'id': 63,
    'particles': [-5,5,21],
    'color': [1 T(2,1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'GG'},
    'orders': {'QCD': 1}
},{
    'id': 64,
    'particles': [-4,4,21],
    'color': [1 T(2,1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'GG'},
    'orders': {'QCD': 1}
},{
    'id': 65,
    'particles': [-1,1,21],
    'color': [1 T(2,1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'GG'},
    'orders': {'QCD': 1}
},{
    'id': 66,
    'particles': [-3,3,21],
    'color': [1 T(2,1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'GG'},
    'orders': {'QCD': 1}
},{
    'id': 67,
    'particles': [-6,6,21],
    'color': [1 T(2,1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'GG'},
    'orders': {'QCD': 1}
},{
    'id': 68,
    'particles': [-2,2,21],
    'color': [1 T(2,1,0)],
    'lorentz': [''],
    'couplings': {(0, 0): 'GG'},
    'orders': {'QCD': 1}
},{
    'id': 69,
    'particles': [25,25,25],
    'color': [],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX10'},
    'orders': {'QED': 1}
},{
    'id': 70,
    'particles': [25,25,25,25],
    'color': [],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX9'},
    'orders': {'QED': 2}
},{
    'id': 71,
    'particles': [24,-24,25],
    'color': [],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX12'},
    'orders': {'QED': 1}
},{
    'id': 72,
    'particles': [23,23,25],
    'color': [],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX14'},
    'orders': {'QED': 1}
},{
    'id': 73,
    'particles': [24,-24,25,25],
    'color': [],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX11'},
    'orders': {'QED': 2}
},{
    'id': 74,
    'particles': [23,23,25,25],
    'color': [],
    'lorentz': [''],
    'couplings': {(0, 0): 'MGVX13'},
    'orders': {'QED': 2}
}]