# This file was automatically created by FeynRules 2.4.1
# Mathematica version: 10.1.0  for Mac OS X x86 (64-bit) (March 24, 2015)
# Date: Thu 18 Jun 2015 16:26:34


from object_library import all_lorentz, Lorentz

from function_library import complexconjugate, re, im, csc, sec, acsc, asec, cot
try:
   import form_factors as ForFac 
except ImportError:
   pass


UUV1 = Lorentz(name = 'UUV1',
               spins = [ -1, -1, 3 ],
               structure = 'P(3,2) + P(3,3)')

SSS1 = Lorentz(name = 'SSS1',
               spins = [ 1, 1, 1 ],
               structure = '1')

FFS1 = Lorentz(name = 'FFS1',
               spins = [ 2, 2, 1 ],
               structure = 'P(-1,3)*Gamma(-1,2,-2)*ProjM(-2,1)')

FFS2 = Lorentz(name = 'FFS2',
               spins = [ 2, 2, 1 ],
               structure = 'ProjM(2,1) + ProjP(2,1)')

FFV1 = Lorentz(name = 'FFV1',
               spins = [ 2, 2, 3 ],
               structure = 'Gamma(3,2,1)')

FFV2 = Lorentz(name = 'FFV2',
               spins = [ 2, 2, 3 ],
               structure = 'Gamma(3,2,-1)*ProjM(-1,1)')

FFV3 = Lorentz(name = 'FFV3',
               spins = [ 2, 2, 3 ],
               structure = '-(P(-1,3)*Gamma(-1,2,-3)*Gamma(3,-3,-2)*ProjM(-2,1)) + P(-1,3)*Gamma(-1,-3,-2)*Gamma(3,2,-3)*ProjM(-2,1)')

FFV4 = Lorentz(name = 'FFV4',
               spins = [ 2, 2, 3 ],
               structure = 'Gamma(3,2,-1)*ProjM(-1,1) - 2*Gamma(3,2,-1)*ProjP(-1,1)')

FFV5 = Lorentz(name = 'FFV5',
               spins = [ 2, 2, 3 ],
               structure = 'Gamma(3,2,-1)*ProjM(-1,1) + Gamma(3,2,-1)*ProjP(-1,1)')

FFV6 = Lorentz(name = 'FFV6',
               spins = [ 2, 2, 3 ],
               structure = 'Gamma(3,2,-1)*ProjM(-1,1) + 2*Gamma(3,2,-1)*ProjP(-1,1)')

FFV7 = Lorentz(name = 'FFV7',
               spins = [ 2, 2, 3 ],
               structure = 'Gamma(3,2,-1)*ProjM(-1,1) + 4*Gamma(3,2,-1)*ProjP(-1,1)')

FFV8 = Lorentz(name = 'FFV8',
               spins = [ 2, 2, 3 ],
               structure = '-(P(-1,3)*Gamma(-1,2,-3)*Gamma(3,-3,-2)*ProjP(-2,1)) + P(-1,3)*Gamma(-1,-3,-2)*Gamma(3,2,-3)*ProjP(-2,1)')

VVS1 = Lorentz(name = 'VVS1',
               spins = [ 3, 3, 1 ],
               structure = 'Metric(1,2)')

VVS2 = Lorentz(name = 'VVS2',
               spins = [ 3, 3, 1 ],
               structure = 'P(1,2)*P(2,1) - P(-1,1)*P(-1,2)*Metric(1,2)')

VVV1 = Lorentz(name = 'VVV1',
               spins = [ 3, 3, 3 ],
               structure = 'P(3,1)*Metric(1,2) - P(3,2)*Metric(1,2) - P(2,1)*Metric(1,3) + P(2,3)*Metric(1,3) + P(1,2)*Metric(2,3) - P(1,3)*Metric(2,3)')

VVV2 = Lorentz(name = 'VVV2',
               spins = [ 3, 3, 3 ],
               structure = '-(P(1,2)*P(2,3)*P(3,1)) + P(1,3)*P(2,1)*P(3,2) + P(-1,2)*P(-1,3)*P(3,1)*Metric(1,2) - P(-1,1)*P(-1,3)*P(3,2)*Metric(1,2) - P(-1,2)*P(-1,3)*P(2,1)*Metric(1,3) + P(-1,1)*P(-1,2)*P(2,3)*Metric(1,3) + P(-1,1)*P(-1,3)*P(1,2)*Metric(2,3) - P(-1,1)*P(-1,2)*P(1,3)*Metric(2,3)')

SSSS1 = Lorentz(name = 'SSSS1',
                spins = [ 1, 1, 1, 1 ],
                structure = '1')

FFSS1 = Lorentz(name = 'FFSS1',
                spins = [ 2, 2, 1, 1 ],
                structure = 'P(-1,3)*Gamma(-1,2,-2)*ProjM(-2,1)')

FFSS2 = Lorentz(name = 'FFSS2',
                spins = [ 2, 2, 1, 1 ],
                structure = 'P(-1,4)*Gamma(-1,2,-2)*ProjM(-2,1)')

FFSS3 = Lorentz(name = 'FFSS3',
                spins = [ 2, 2, 1, 1 ],
                structure = 'P(-1,3)*Gamma(-1,2,-2)*ProjM(-2,1) - P(-1,4)*Gamma(-1,2,-2)*ProjM(-2,1)')

FFSS4 = Lorentz(name = 'FFSS4',
                spins = [ 2, 2, 1, 1 ],
                structure = 'P(-1,3)*Gamma(-1,2,-2)*ProjM(-2,1) + P(-1,4)*Gamma(-1,2,-2)*ProjM(-2,1)')

FFFF1 = Lorentz(name = 'FFFF1',
                spins = [ 2, 2, 2, 2 ],
                structure = 'Gamma(-1,2,-2)*Gamma(-1,4,-3)*ProjM(-3,1)*ProjM(-2,3)')

FFFF2 = Lorentz(name = 'FFFF2',
                spins = [ 2, 2, 2, 2 ],
                structure = 'Gamma(-1,2,-3)*Gamma(-1,4,-2)*ProjM(-3,3)*ProjM(-2,1)')

FFFF3 = Lorentz(name = 'FFFF3',
                spins = [ 2, 2, 2, 2 ],
                structure = 'Gamma(-1,2,-2)*Gamma(-1,4,-3)*ProjM(-3,3)*ProjM(-2,1)')

FFFF4 = Lorentz(name = 'FFFF4',
                spins = [ 2, 2, 2, 2 ],
                structure = 'ProjM(4,3)*ProjP(2,1)')

FFFF5 = Lorentz(name = 'FFFF5',
                spins = [ 2, 2, 2, 2 ],
                structure = 'ProjM(2,1)*ProjP(4,3)')

FFFF6 = Lorentz(name = 'FFFF6',
                spins = [ 2, 2, 2, 2 ],
                structure = 'Gamma(-1,2,-2)*Gamma(-1,4,-3)*ProjP(-3,1)*ProjP(-2,3)')

FFFF7 = Lorentz(name = 'FFFF7',
                spins = [ 2, 2, 2, 2 ],
                structure = 'Gamma(-1,2,-2)*Gamma(-1,4,-3)*ProjP(-3,3)*ProjP(-2,1)')

FFVS1 = Lorentz(name = 'FFVS1',
                spins = [ 2, 2, 3, 1 ],
                structure = 'Gamma(3,2,-1)*ProjM(-1,1)')

FFVS2 = Lorentz(name = 'FFVS2',
                spins = [ 2, 2, 3, 1 ],
                structure = '-(P(-1,3)*Gamma(-1,2,-3)*Gamma(3,-3,-2)*ProjM(-2,1)) + P(-1,3)*Gamma(-1,-3,-2)*Gamma(3,2,-3)*ProjM(-2,1)')

FFVS3 = Lorentz(name = 'FFVS3',
                spins = [ 2, 2, 3, 1 ],
                structure = '-(P(-1,3)*Gamma(-1,2,-3)*Gamma(3,-3,-2)*ProjP(-2,1)) + P(-1,3)*Gamma(-1,-3,-2)*Gamma(3,2,-3)*ProjP(-2,1)')

FFVV1 = Lorentz(name = 'FFVV1',
                spins = [ 2, 2, 3, 3 ],
                structure = 'Gamma(3,2,-2)*Gamma(4,-2,-1)*ProjM(-1,1) - Gamma(3,-2,-1)*Gamma(4,2,-2)*ProjM(-1,1)')

FFVV2 = Lorentz(name = 'FFVV2',
                spins = [ 2, 2, 3, 3 ],
                structure = 'Gamma(3,2,-2)*Gamma(4,-2,-1)*ProjP(-1,1) - Gamma(3,-2,-1)*Gamma(4,2,-2)*ProjP(-1,1)')

VVSS1 = Lorentz(name = 'VVSS1',
                spins = [ 3, 3, 1, 1 ],
                structure = 'Metric(1,2)')

VVSS2 = Lorentz(name = 'VVSS2',
                spins = [ 3, 3, 1, 1 ],
                structure = 'P(1,2)*P(2,1) - P(-1,1)*P(-1,2)*Metric(1,2)')

VVVS1 = Lorentz(name = 'VVVS1',
                spins = [ 3, 3, 3, 1 ],
                structure = 'P(3,1)*Metric(1,2) - P(3,2)*Metric(1,2) - P(2,1)*Metric(1,3) + P(2,3)*Metric(1,3) + P(1,2)*Metric(2,3) - P(1,3)*Metric(2,3)')

VVVV1 = Lorentz(name = 'VVVV1',
                spins = [ 3, 3, 3, 3 ],
                structure = 'Metric(1,4)*Metric(2,3) - Metric(1,3)*Metric(2,4)')

VVVV2 = Lorentz(name = 'VVVV2',
                spins = [ 3, 3, 3, 3 ],
                structure = 'P(3,2)*P(4,1)*Metric(1,2) - P(3,1)*P(4,2)*Metric(1,2) + P(2,1)*P(4,2)*Metric(1,3) + P(2,4)*P(4,3)*Metric(1,3) - P(2,1)*P(3,2)*Metric(1,4) - P(2,3)*P(3,4)*Metric(1,4) - P(1,2)*P(4,1)*Metric(2,3) - P(1,4)*P(4,3)*Metric(2,3) + P(-1,1)*P(-1,2)*Metric(1,4)*Metric(2,3) + P(-1,3)*P(-1,4)*Metric(1,4)*Metric(2,3) + P(1,2)*P(3,1)*Metric(2,4) + P(1,3)*P(3,4)*Metric(2,4) - P(-1,1)*P(-1,2)*Metric(1,3)*Metric(2,4) - P(-1,3)*P(-1,4)*Metric(1,3)*Metric(2,4) + P(1,4)*P(2,3)*Metric(3,4) - P(1,3)*P(2,4)*Metric(3,4)')

VVVV3 = Lorentz(name = 'VVVV3',
                spins = [ 3, 3, 3, 3 ],
                structure = 'Metric(1,4)*Metric(2,3) + Metric(1,3)*Metric(2,4) - 2*Metric(1,2)*Metric(3,4)')

VVVV4 = Lorentz(name = 'VVVV4',
                spins = [ 3, 3, 3, 3 ],
                structure = 'Metric(1,4)*Metric(2,3) - Metric(1,2)*Metric(3,4)')

VVVV5 = Lorentz(name = 'VVVV5',
                spins = [ 3, 3, 3, 3 ],
                structure = 'Metric(1,3)*Metric(2,4) - Metric(1,2)*Metric(3,4)')

VVVV6 = Lorentz(name = 'VVVV6',
                spins = [ 3, 3, 3, 3 ],
                structure = 'Metric(1,4)*Metric(2,3) - (Metric(1,3)*Metric(2,4))/2. - (Metric(1,2)*Metric(3,4))/2.')

VVVV7 = Lorentz(name = 'VVVV7',
                spins = [ 3, 3, 3, 3 ],
                structure = 'P(3,4)*P(4,1)*Metric(1,2) + P(3,2)*P(4,3)*Metric(1,2) - P(2,4)*P(4,1)*Metric(1,3) - P(2,3)*P(4,2)*Metric(1,3) + P(2,4)*P(3,1)*Metric(1,4) - P(2,1)*P(3,4)*Metric(1,4) + P(1,3)*P(4,2)*Metric(2,3) - P(1,2)*P(4,3)*Metric(2,3) - P(1,4)*P(3,1)*Metric(2,4) - P(1,3)*P(3,2)*Metric(2,4) + P(-1,2)*P(-1,3)*Metric(1,3)*Metric(2,4) + P(-1,1)*P(-1,4)*Metric(1,3)*Metric(2,4) + P(1,4)*P(2,1)*Metric(3,4) + P(1,2)*P(2,3)*Metric(3,4) - P(-1,2)*P(-1,3)*Metric(1,2)*Metric(3,4) - P(-1,1)*P(-1,4)*Metric(1,2)*Metric(3,4)')

VVVV8 = Lorentz(name = 'VVVV8',
                spins = [ 3, 3, 3, 3 ],
                structure = 'P(3,4)*P(4,2)*Metric(1,2) + P(3,1)*P(4,3)*Metric(1,2) + P(2,3)*P(4,1)*Metric(1,3) - P(2,1)*P(4,3)*Metric(1,3) - P(2,3)*P(3,1)*Metric(1,4) - P(2,4)*P(3,2)*Metric(1,4) - P(1,3)*P(4,1)*Metric(2,3) - P(1,4)*P(4,2)*Metric(2,3) + P(-1,1)*P(-1,3)*Metric(1,4)*Metric(2,3) + P(-1,2)*P(-1,4)*Metric(1,4)*Metric(2,3) + P(1,4)*P(3,2)*Metric(2,4) - P(1,2)*P(3,4)*Metric(2,4) + P(1,3)*P(2,1)*Metric(3,4) + P(1,2)*P(2,4)*Metric(3,4) - P(-1,1)*P(-1,3)*Metric(1,2)*Metric(3,4) - P(-1,2)*P(-1,4)*Metric(1,2)*Metric(3,4)')

FFVSS1 = Lorentz(name = 'FFVSS1',
                 spins = [ 2, 2, 3, 1, 1 ],
                 structure = 'Gamma(3,2,-1)*ProjM(-1,1)')

FFVVS1 = Lorentz(name = 'FFVVS1',
                 spins = [ 2, 2, 3, 3, 1 ],
                 structure = 'Gamma(3,2,-2)*Gamma(4,-2,-1)*ProjM(-1,1) - Gamma(3,-2,-1)*Gamma(4,2,-2)*ProjM(-1,1)')

FFVVS2 = Lorentz(name = 'FFVVS2',
                 spins = [ 2, 2, 3, 3, 1 ],
                 structure = 'Gamma(3,2,-2)*Gamma(4,-2,-1)*ProjP(-1,1) - Gamma(3,-2,-1)*Gamma(4,2,-2)*ProjP(-1,1)')

VVVSS1 = Lorentz(name = 'VVVSS1',
                 spins = [ 3, 3, 3, 1, 1 ],
                 structure = 'P(3,1)*Metric(1,2) - P(3,2)*Metric(1,2) - P(2,1)*Metric(1,3) + P(2,3)*Metric(1,3) + P(1,2)*Metric(2,3) - P(1,3)*Metric(2,3)')

VVVVS1 = Lorentz(name = 'VVVVS1',
                 spins = [ 3, 3, 3, 3, 1 ],
                 structure = 'Metric(1,4)*Metric(2,3) - Metric(1,3)*Metric(2,4)')

VVVVS2 = Lorentz(name = 'VVVVS2',
                 spins = [ 3, 3, 3, 3, 1 ],
                 structure = 'Metric(1,4)*Metric(2,3) - Metric(1,2)*Metric(3,4)')

VVVVS3 = Lorentz(name = 'VVVVS3',
                 spins = [ 3, 3, 3, 3, 1 ],
                 structure = 'Metric(1,3)*Metric(2,4) - Metric(1,2)*Metric(3,4)')

VVVVV1 = Lorentz(name = 'VVVVV1',
                 spins = [ 3, 3, 3, 3, 3 ],
                 structure = 'P(5,1)*Metric(1,3)*Metric(2,4) - P(3,1)*Metric(1,5)*Metric(2,4) - P(4,1)*Metric(1,3)*Metric(2,5) + P(3,1)*Metric(1,4)*Metric(2,5) - P(5,1)*Metric(1,2)*Metric(3,4) + P(2,1)*Metric(1,5)*Metric(3,4) + P(4,1)*Metric(1,2)*Metric(3,5) - P(2,1)*Metric(1,4)*Metric(3,5)')

VVVVV2 = Lorentz(name = 'VVVVV2',
                 spins = [ 3, 3, 3, 3, 3 ],
                 structure = 'P(5,2)*Metric(1,4)*Metric(2,3) - P(4,2)*Metric(1,5)*Metric(2,3) + P(3,2)*Metric(1,5)*Metric(2,4) - P(3,2)*Metric(1,4)*Metric(2,5) - P(5,2)*Metric(1,2)*Metric(3,4) + P(1,2)*Metric(2,5)*Metric(3,4) + P(4,2)*Metric(1,2)*Metric(3,5) - P(1,2)*Metric(2,4)*Metric(3,5)')

VVVVV3 = Lorentz(name = 'VVVVV3',
                 spins = [ 3, 3, 3, 3, 3 ],
                 structure = 'P(5,3)*Metric(1,4)*Metric(2,3) - P(4,3)*Metric(1,5)*Metric(2,3) - P(5,3)*Metric(1,3)*Metric(2,4) + P(4,3)*Metric(1,3)*Metric(2,5) + P(2,3)*Metric(1,5)*Metric(3,4) - P(1,3)*Metric(2,5)*Metric(3,4) - P(2,3)*Metric(1,4)*Metric(3,5) + P(1,3)*Metric(2,4)*Metric(3,5)')

VVVVV4 = Lorentz(name = 'VVVVV4',
                 spins = [ 3, 3, 3, 3, 3 ],
                 structure = 'P(5,1)*Metric(1,4)*Metric(2,3) - P(4,1)*Metric(1,5)*Metric(2,3) + P(4,1)*Metric(1,3)*Metric(2,5) - P(3,1)*Metric(1,4)*Metric(2,5) - P(5,1)*Metric(1,2)*Metric(3,4) + P(2,1)*Metric(1,5)*Metric(3,4) + P(3,1)*Metric(1,2)*Metric(4,5) - P(2,1)*Metric(1,3)*Metric(4,5)')

VVVVV5 = Lorentz(name = 'VVVVV5',
                 spins = [ 3, 3, 3, 3, 3 ],
                 structure = 'P(5,1)*Metric(1,4)*Metric(2,3) - P(4,1)*Metric(1,5)*Metric(2,3) - P(5,1)*Metric(1,3)*Metric(2,4) + P(3,1)*Metric(1,5)*Metric(2,4) + P(4,1)*Metric(1,2)*Metric(3,5) - P(2,1)*Metric(1,4)*Metric(3,5) - P(3,1)*Metric(1,2)*Metric(4,5) + P(2,1)*Metric(1,3)*Metric(4,5)')

VVVVV6 = Lorentz(name = 'VVVVV6',
                 spins = [ 3, 3, 3, 3, 3 ],
                 structure = 'P(5,4)*Metric(1,3)*Metric(2,4) - P(3,4)*Metric(1,4)*Metric(2,5) - P(5,4)*Metric(1,2)*Metric(3,4) + P(1,4)*Metric(2,5)*Metric(3,4) + P(2,4)*Metric(1,4)*Metric(3,5) - P(1,4)*Metric(2,4)*Metric(3,5) + P(3,4)*Metric(1,2)*Metric(4,5) - P(2,4)*Metric(1,3)*Metric(4,5)')

VVVVV7 = Lorentz(name = 'VVVVV7',
                 spins = [ 3, 3, 3, 3, 3 ],
                 structure = 'P(3,5)*Metric(1,5)*Metric(2,4) - P(4,5)*Metric(1,3)*Metric(2,5) - P(2,5)*Metric(1,5)*Metric(3,4) + P(1,5)*Metric(2,5)*Metric(3,4) + P(4,5)*Metric(1,2)*Metric(3,5) - P(1,5)*Metric(2,4)*Metric(3,5) - P(3,5)*Metric(1,2)*Metric(4,5) + P(2,5)*Metric(1,3)*Metric(4,5)')

VVVVV8 = Lorentz(name = 'VVVVV8',
                 spins = [ 3, 3, 3, 3, 3 ],
                 structure = 'P(4,2)*Metric(1,5)*Metric(2,3) + P(5,2)*Metric(1,3)*Metric(2,4) - P(3,2)*Metric(1,5)*Metric(2,4) - P(4,2)*Metric(1,3)*Metric(2,5) - P(5,2)*Metric(1,2)*Metric(3,4) + P(1,2)*Metric(2,5)*Metric(3,4) + P(3,2)*Metric(1,2)*Metric(4,5) - P(1,2)*Metric(2,3)*Metric(4,5)')

VVVVV9 = Lorentz(name = 'VVVVV9',
                 spins = [ 3, 3, 3, 3, 3 ],
                 structure = 'P(5,2)*Metric(1,4)*Metric(2,3) - P(5,2)*Metric(1,3)*Metric(2,4) + P(4,2)*Metric(1,3)*Metric(2,5) - P(3,2)*Metric(1,4)*Metric(2,5) - P(4,2)*Metric(1,2)*Metric(3,5) + P(1,2)*Metric(2,4)*Metric(3,5) + P(3,2)*Metric(1,2)*Metric(4,5) - P(1,2)*Metric(2,3)*Metric(4,5)')

VVVVV10 = Lorentz(name = 'VVVVV10',
                  spins = [ 3, 3, 3, 3, 3 ],
                  structure = 'P(5,3)*Metric(1,4)*Metric(2,3) - P(4,3)*Metric(1,3)*Metric(2,5) - P(5,3)*Metric(1,2)*Metric(3,4) + P(1,3)*Metric(2,5)*Metric(3,4) + P(4,3)*Metric(1,2)*Metric(3,5) - P(2,3)*Metric(1,4)*Metric(3,5) + P(2,3)*Metric(1,3)*Metric(4,5) - P(1,3)*Metric(2,3)*Metric(4,5)')

VVVVV11 = Lorentz(name = 'VVVVV11',
                  spins = [ 3, 3, 3, 3, 3 ],
                  structure = 'P(4,3)*Metric(1,5)*Metric(2,3) - P(5,3)*Metric(1,3)*Metric(2,4) + P(5,3)*Metric(1,2)*Metric(3,4) - P(2,3)*Metric(1,5)*Metric(3,4) - P(4,3)*Metric(1,2)*Metric(3,5) + P(1,3)*Metric(2,4)*Metric(3,5) + P(2,3)*Metric(1,3)*Metric(4,5) - P(1,3)*Metric(2,3)*Metric(4,5)')

VVVVV12 = Lorentz(name = 'VVVVV12',
                  spins = [ 3, 3, 3, 3, 3 ],
                  structure = 'P(5,4)*Metric(1,4)*Metric(2,3) - P(3,4)*Metric(1,5)*Metric(2,4) - P(5,4)*Metric(1,2)*Metric(3,4) + P(2,4)*Metric(1,5)*Metric(3,4) - P(2,4)*Metric(1,4)*Metric(3,5) + P(1,4)*Metric(2,4)*Metric(3,5) + P(3,4)*Metric(1,2)*Metric(4,5) - P(1,4)*Metric(2,3)*Metric(4,5)')

VVVVV13 = Lorentz(name = 'VVVVV13',
                  spins = [ 3, 3, 3, 3, 3 ],
                  structure = 'P(5,4)*Metric(1,4)*Metric(2,3) - P(5,4)*Metric(1,3)*Metric(2,4) + P(3,4)*Metric(1,5)*Metric(2,4) - P(3,4)*Metric(1,4)*Metric(2,5) - P(2,4)*Metric(1,5)*Metric(3,4) + P(1,4)*Metric(2,5)*Metric(3,4) + P(2,4)*Metric(1,3)*Metric(4,5) - P(1,4)*Metric(2,3)*Metric(4,5)')

VVVVV14 = Lorentz(name = 'VVVVV14',
                  spins = [ 3, 3, 3, 3, 3 ],
                  structure = 'P(4,5)*Metric(1,5)*Metric(2,3) - P(3,5)*Metric(1,4)*Metric(2,5) - P(2,5)*Metric(1,5)*Metric(3,4) + P(1,5)*Metric(2,5)*Metric(3,4) - P(4,5)*Metric(1,2)*Metric(3,5) + P(2,5)*Metric(1,4)*Metric(3,5) + P(3,5)*Metric(1,2)*Metric(4,5) - P(1,5)*Metric(2,3)*Metric(4,5)')

VVVVV15 = Lorentz(name = 'VVVVV15',
                  spins = [ 3, 3, 3, 3, 3 ],
                  structure = 'P(4,5)*Metric(1,5)*Metric(2,3) - P(3,5)*Metric(1,5)*Metric(2,4) - P(4,5)*Metric(1,3)*Metric(2,5) + P(3,5)*Metric(1,4)*Metric(2,5) - P(2,5)*Metric(1,4)*Metric(3,5) + P(1,5)*Metric(2,4)*Metric(3,5) + P(2,5)*Metric(1,3)*Metric(4,5) - P(1,5)*Metric(2,3)*Metric(4,5)')

VVVVSS1 = Lorentz(name = 'VVVVSS1',
                  spins = [ 3, 3, 3, 3, 1, 1 ],
                  structure = 'Metric(1,4)*Metric(2,3) - Metric(1,3)*Metric(2,4)')

VVVVSS2 = Lorentz(name = 'VVVVSS2',
                  spins = [ 3, 3, 3, 3, 1, 1 ],
                  structure = 'Metric(1,4)*Metric(2,3) - Metric(1,2)*Metric(3,4)')

VVVVSS3 = Lorentz(name = 'VVVVSS3',
                  spins = [ 3, 3, 3, 3, 1, 1 ],
                  structure = 'Metric(1,3)*Metric(2,4) - Metric(1,2)*Metric(3,4)')

VVVVVV1 = Lorentz(name = 'VVVVVV1',
                  spins = [ 3, 3, 3, 3, 3, 3 ],
                  structure = 'Metric(1,6)*Metric(2,4)*Metric(3,5) - Metric(1,4)*Metric(2,6)*Metric(3,5) - Metric(1,5)*Metric(2,4)*Metric(3,6) + Metric(1,4)*Metric(2,5)*Metric(3,6) - Metric(1,6)*Metric(2,3)*Metric(4,5) + Metric(1,3)*Metric(2,6)*Metric(4,5) + Metric(1,5)*Metric(2,3)*Metric(4,6) - Metric(1,3)*Metric(2,5)*Metric(4,6)')

VVVVVV2 = Lorentz(name = 'VVVVVV2',
                  spins = [ 3, 3, 3, 3, 3, 3 ],
                  structure = 'Metric(1,6)*Metric(2,5)*Metric(3,4) - Metric(1,5)*Metric(2,6)*Metric(3,4) + Metric(1,4)*Metric(2,6)*Metric(3,5) - Metric(1,4)*Metric(2,5)*Metric(3,6) - Metric(1,6)*Metric(2,3)*Metric(4,5) + Metric(1,2)*Metric(3,6)*Metric(4,5) + Metric(1,5)*Metric(2,3)*Metric(4,6) - Metric(1,2)*Metric(3,5)*Metric(4,6)')

VVVVVV3 = Lorentz(name = 'VVVVVV3',
                  spins = [ 3, 3, 3, 3, 3, 3 ],
                  structure = 'Metric(1,6)*Metric(2,5)*Metric(3,4) - Metric(1,5)*Metric(2,6)*Metric(3,4) - Metric(1,6)*Metric(2,4)*Metric(3,5) + Metric(1,5)*Metric(2,4)*Metric(3,6) + Metric(1,3)*Metric(2,6)*Metric(4,5) - Metric(1,2)*Metric(3,6)*Metric(4,5) - Metric(1,3)*Metric(2,5)*Metric(4,6) + Metric(1,2)*Metric(3,5)*Metric(4,6)')

VVVVVV4 = Lorentz(name = 'VVVVVV4',
                  spins = [ 3, 3, 3, 3, 3, 3 ],
                  structure = 'Metric(1,6)*Metric(2,5)*Metric(3,4) - Metric(1,5)*Metric(2,6)*Metric(3,4) + Metric(1,5)*Metric(2,4)*Metric(3,6) - Metric(1,4)*Metric(2,5)*Metric(3,6) - Metric(1,6)*Metric(2,3)*Metric(4,5) + Metric(1,3)*Metric(2,6)*Metric(4,5) + Metric(1,4)*Metric(2,3)*Metric(5,6) - Metric(1,3)*Metric(2,4)*Metric(5,6)')

VVVVVV5 = Lorentz(name = 'VVVVVV5',
                  spins = [ 3, 3, 3, 3, 3, 3 ],
                  structure = 'Metric(1,6)*Metric(2,4)*Metric(3,5) - Metric(1,4)*Metric(2,5)*Metric(3,6) - Metric(1,6)*Metric(2,3)*Metric(4,5) + Metric(1,2)*Metric(3,6)*Metric(4,5) + Metric(1,3)*Metric(2,5)*Metric(4,6) - Metric(1,2)*Metric(3,5)*Metric(4,6) + Metric(1,4)*Metric(2,3)*Metric(5,6) - Metric(1,3)*Metric(2,4)*Metric(5,6)')

VVVVVV6 = Lorentz(name = 'VVVVVV6',
                  spins = [ 3, 3, 3, 3, 3, 3 ],
                  structure = 'Metric(1,6)*Metric(2,5)*Metric(3,4) - Metric(1,5)*Metric(2,6)*Metric(3,4) - Metric(1,6)*Metric(2,4)*Metric(3,5) + Metric(1,4)*Metric(2,6)*Metric(3,5) + Metric(1,5)*Metric(2,3)*Metric(4,6) - Metric(1,3)*Metric(2,5)*Metric(4,6) - Metric(1,4)*Metric(2,3)*Metric(5,6) + Metric(1,3)*Metric(2,4)*Metric(5,6)')

VVVVVV7 = Lorentz(name = 'VVVVVV7',
                  spins = [ 3, 3, 3, 3, 3, 3 ],
                  structure = 'Metric(1,4)*Metric(2,6)*Metric(3,5) - Metric(1,5)*Metric(2,4)*Metric(3,6) - Metric(1,3)*Metric(2,6)*Metric(4,5) + Metric(1,2)*Metric(3,6)*Metric(4,5) + Metric(1,5)*Metric(2,3)*Metric(4,6) - Metric(1,2)*Metric(3,5)*Metric(4,6) - Metric(1,4)*Metric(2,3)*Metric(5,6) + Metric(1,3)*Metric(2,4)*Metric(5,6)')

VVVVVV8 = Lorentz(name = 'VVVVVV8',
                  spins = [ 3, 3, 3, 3, 3, 3 ],
                  structure = 'Metric(1,5)*Metric(2,6)*Metric(3,4) + Metric(1,6)*Metric(2,4)*Metric(3,5) - Metric(1,4)*Metric(2,6)*Metric(3,5) - Metric(1,5)*Metric(2,4)*Metric(3,6) - Metric(1,6)*Metric(2,3)*Metric(4,5) + Metric(1,2)*Metric(3,6)*Metric(4,5) + Metric(1,4)*Metric(2,3)*Metric(5,6) - Metric(1,2)*Metric(3,4)*Metric(5,6)')

VVVVVV9 = Lorentz(name = 'VVVVVV9',
                  spins = [ 3, 3, 3, 3, 3, 3 ],
                  structure = 'Metric(1,5)*Metric(2,6)*Metric(3,4) - Metric(1,4)*Metric(2,5)*Metric(3,6) - Metric(1,3)*Metric(2,6)*Metric(4,5) + Metric(1,2)*Metric(3,6)*Metric(4,5) - Metric(1,5)*Metric(2,3)*Metric(4,6) + Metric(1,3)*Metric(2,5)*Metric(4,6) + Metric(1,4)*Metric(2,3)*Metric(5,6) - Metric(1,2)*Metric(3,4)*Metric(5,6)')

VVVVVV10 = Lorentz(name = 'VVVVVV10',
                   spins = [ 3, 3, 3, 3, 3, 3 ],
                   structure = 'Metric(1,6)*Metric(2,5)*Metric(3,4) - Metric(1,6)*Metric(2,4)*Metric(3,5) + Metric(1,5)*Metric(2,4)*Metric(3,6) - Metric(1,4)*Metric(2,5)*Metric(3,6) - Metric(1,5)*Metric(2,3)*Metric(4,6) + Metric(1,2)*Metric(3,5)*Metric(4,6) + Metric(1,4)*Metric(2,3)*Metric(5,6) - Metric(1,2)*Metric(3,4)*Metric(5,6)')

VVVVVV11 = Lorentz(name = 'VVVVVV11',
                   spins = [ 3, 3, 3, 3, 3, 3 ],
                   structure = 'Metric(1,6)*Metric(2,5)*Metric(3,4) - Metric(1,4)*Metric(2,6)*Metric(3,5) - Metric(1,6)*Metric(2,3)*Metric(4,5) + Metric(1,3)*Metric(2,6)*Metric(4,5) - Metric(1,3)*Metric(2,5)*Metric(4,6) + Metric(1,2)*Metric(3,5)*Metric(4,6) + Metric(1,4)*Metric(2,3)*Metric(5,6) - Metric(1,2)*Metric(3,4)*Metric(5,6)')

VVVVVV12 = Lorentz(name = 'VVVVVV12',
                   spins = [ 3, 3, 3, 3, 3, 3 ],
                   structure = 'Metric(1,6)*Metric(2,5)*Metric(3,4) - Metric(1,6)*Metric(2,4)*Metric(3,5) + Metric(1,4)*Metric(2,6)*Metric(3,5) - Metric(1,4)*Metric(2,5)*Metric(3,6) - Metric(1,3)*Metric(2,6)*Metric(4,5) + Metric(1,2)*Metric(3,6)*Metric(4,5) + Metric(1,3)*Metric(2,4)*Metric(5,6) - Metric(1,2)*Metric(3,4)*Metric(5,6)')

VVVVVV13 = Lorentz(name = 'VVVVVV13',
                   spins = [ 3, 3, 3, 3, 3, 3 ],
                   structure = 'Metric(1,6)*Metric(2,5)*Metric(3,4) - Metric(1,5)*Metric(2,4)*Metric(3,6) - Metric(1,6)*Metric(2,3)*Metric(4,5) + Metric(1,2)*Metric(3,6)*Metric(4,5) + Metric(1,5)*Metric(2,3)*Metric(4,6) - Metric(1,3)*Metric(2,5)*Metric(4,6) + Metric(1,3)*Metric(2,4)*Metric(5,6) - Metric(1,2)*Metric(3,4)*Metric(5,6)')

VVVVVV14 = Lorentz(name = 'VVVVVV14',
                   spins = [ 3, 3, 3, 3, 3, 3 ],
                   structure = 'Metric(1,5)*Metric(2,6)*Metric(3,4) - Metric(1,6)*Metric(2,4)*Metric(3,5) + Metric(1,6)*Metric(2,3)*Metric(4,5) - Metric(1,3)*Metric(2,6)*Metric(4,5) - Metric(1,5)*Metric(2,3)*Metric(4,6) + Metric(1,2)*Metric(3,5)*Metric(4,6) + Metric(1,3)*Metric(2,4)*Metric(5,6) - Metric(1,2)*Metric(3,4)*Metric(5,6)')

VVVVVV15 = Lorentz(name = 'VVVVVV15',
                   spins = [ 3, 3, 3, 3, 3, 3 ],
                   structure = 'Metric(1,5)*Metric(2,6)*Metric(3,4) - Metric(1,4)*Metric(2,6)*Metric(3,5) - Metric(1,5)*Metric(2,4)*Metric(3,6) + Metric(1,4)*Metric(2,5)*Metric(3,6) - Metric(1,3)*Metric(2,5)*Metric(4,6) + Metric(1,2)*Metric(3,5)*Metric(4,6) + Metric(1,3)*Metric(2,4)*Metric(5,6) - Metric(1,2)*Metric(3,4)*Metric(5,6)')