# Coefficient data for embedded newform 400.3.bg.c.337.2, downloaded from the LMFDB on 21 August 2025. {"label": "400.3.bg.c.337.2", "an_normalized": [[1.0, 0.0], [0.0, 0.0], [-0.07024346267147405, -0.03579083189172795], [0.0, 0.0], [-0.6628631022879252, 0.748740614382062], [0.0, 0.0], [1.09218813191993, 1.09218813191993], [0.0, 0.0], [-0.5841320918918963, -0.8039888504470122], [0.0, 0.0], [-0.6671524719715209, -0.4847146435512145], [0.0, 0.0], [-0.16331200179870728, 1.0311113987212013], [0.0, 0.0], [0.07335984904171684, -0.02886971153574652], [0.0, 0.0], [0.041468326905845135, -0.021129167906482657], [0.0, 0.0], [-0.7141874600107192, -0.2320535725600338], [0.0, 0.0], [-0.03762875445105798, -0.1158093980984312], [0.0, 0.0], [-0.5895509090181715, 0.0933756907676647], [0.0, 0.0], [-0.12122501525045519, -0.9926250529165214], [0.0, 0.0], [0.02458871118787039, 0.15524701250632383], [0.0, 0.0], [-1.2631228385521138, 0.4104134890071992], [0.0, 0.0], [0.09275147823174874, -0.285459697602522], 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