# Coefficient data for embedded newform 400.3.bg.e.33.2, downloaded from the LMFDB on 01 March 2026. {"label": "400.3.bg.e.33.2", "an_normalized": [[1.0, 0.0], [0.0, 0.0], [-1.3267386420744687, -0.2101347572819], [0.0, 0.0], [0.9800954718763794, -0.19852673877192764], [0.0, 0.0], [-0.27210927572682564, 0.27210927572682564], [0.0, 0.0], [0.7650222918605287, 0.2485708106827248], [0.0, 0.0], [0.12317137013523506, 0.3790824981165326], [0.0, 0.0], [-0.26383497099972403, 0.13443063219098397], [0.0, 0.0], [-1.3420479035264095, 0.05744097171790782], [0.0, 0.0], [-0.7194854505092696, 0.11395530040055753], [0.0, 0.0], [0.19598702066596177, -0.26975299189164004], [0.0, 0.0], [0.418197507582686, -0.30383827436466576], [0.0, 0.0], [0.2492178334842894, -0.4891175381554997], [0.0, 0.0], [0.9211742679851657, -0.38915031543350226], [0.0, 0.0], [0.23411695016698875, 0.11928854426809973], [0.0, 0.0], [1.0854770553291209, 1.4940309940412897], [0.0, 0.0], [1.1298208591594843, 0.8208629032069205], [0.0, 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