Here's what rhymes with polemic.
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phrenic irenic splenic eugenic pyogenic pfennig antigenic pathogenic biogenic allergenic photogenic telegenic schizophrenic transgenic cryogenic iatrogenic mutagenic neurogenic teratogenic androgenic hypoallergenic psychogenic neurasthenic calisthenic callisthenic anthropogenic carcinogenic hallucinogenic relic allelic genetic generic acetic athletic pathetic ascetic ferric cleric derrick medic fetich paregoric domestic poetic authentic kinetic prophetic diabetic dialectic metric pelvic angelic epileptic phonetic septic apathetic aseptic diuretic hectic peptic technic benthic emetic eutectic sceptic steric tartaric turmeric dietetic geodesic geodetic hermetic acerbic lovesick pectic redbrick bathetic electric magnetic aesthetic energetic dielectric geometric majestic symmetric cosmetic eclectic esoteric esthetic forensic numeric centric enteric prosthetic empathetic frenetic isomeric skeptic apoplectic chimeric dyslexic anorectic antithetic homiletic paramedic paraplegic diametric gametic parenthetic phrenetic dyslectic sympathetic arithmetic atmospheric synthetic anesthetic antiseptic apologetic asymmetric parametric alphabetic anaesthetic isometric obstetric barometric cybernetic monomeric psychedelic anorexic dyspeptic hysteric cataleptic evangelic polytechnic pyrotechnic splenetic unaesthetic unauthentic nonathletic copacetic eccentric concentric mesenteric phylogenetic colorimetric geomagnetic kinesthetic neuroleptic ontogenetic photometric geocentric inauthentic ionospheric peripatetic antipathetic thermometric exegetic narcoleptic telekinetic nonelectric unesthetic cliometric volumetric econometric photoelectric psychometric unsympathetic antidiuretic biosynthetic egocentric isoelectric paramagnetic piezoelectric alphanumeric radiometric nonmagnetic unapologetic psychokinetic hydroelectric photosynthetic ethnocentric ferromagnetic nonparametric trigonometric heliocentric parasympathetic stoichiometric anthropocentric onomatopoetic electromagnetic pharmacokinetic