Note on symmetric BCJ numerator
  We present an algorithm that leads to BCJ numerators satisfying manifestly the three properties proposed by Broedel and Carrasco in [35]. We explicitly calculate the numerators at 4, 5 and 6-points and show that the relabeling property is generically satisfied. 
Chih-Hao Fu, Yi-Jian Du, Bo Feng
hep-th hep-ph