Exponent vector
= Exponent vector
{title2=$\boldsymbol e(r)=(e_1,\ldots,e_B)$}
Relative to an ordered <factor base> $(p_1,\ldots,p_B)$, a positive <integer> $r=\prod_jp_j^{e_j}$ has exponent vector $(e_1,\ldots,e_B)$. <Multiplication> of such <integers> adds their exponent vectors. Reducing every coordinate modulo two gives the parity vector used to find <congruences of squares>. The ordering and any sign coordinate must be used consistently across all rows.