"Am even" is a phrase commonly used to indicate a state of balance or neutrality. However, there are several other words that can convey a similar sense of equilibrium or symmetry, including "equable," "equanimous," and "composed." These synonyms indicate a calm and steady demeanor, free from agitation or tipping towards one extreme or the other. Other possible synonyms for "am even" might include "unbiased," "fair," or "impartial," each of which indicates an absence of bias or favoritism. Ultimately, the choice of synonym will depend on the specific context and desired connotations of the phrase.