= Symmetric coefficients of a quadratic polynomial
{title2=$K^{ij}p_ip_j=K^{(ij)}p_ip_j$}
A quadratic <homogeneous polynomial> determines a unique symmetric bilinear coefficient tensor. An antisymmetric addition to its coefficient array gives zero contribution, so tensorial conditions on its coefficients must refer to this symmetric representative. In particular, the correspondence between <quadratic geodesic first integrals> and <rank-two Killing tensors> uses symmetric coefficients.
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