# Coefficient data for embedded newform 312.4.m.a.181.12, downloaded from the LMFDB on 19 January 2025. {"label": "312.4.m.a.181.12", "an_normalized": [[1.0, 0.0], [-0.8792415677507632, 0.4763761807009037], [0.0, -0.5773502691896257], [0.5461314689216399, -0.8376994799171669], [0.7487143958863403, 0.0], [0.27503591616319256, 0.5076303558236117], [0.0, 0.8961592786344212], [-0.08112141011461653, 0.996704227351834], [-0.3333333333333333, 0.0], [-0.6583008192366714, 0.3566697043481192], [-0.6366164464591861, 0.0], [-0.4836460202301858, -0.31530915059483455], [-0.9860210629202313, -0.16662071743230913], [-0.42690893445554257, -0.7879404891009215], [0.0, -0.4322704580111266], [-0.40348083730698375, -0.9149880949641123], [-0.2105285877395482, 0.0], [0.29308052258358774, -0.15879206023363457], [1.502011890802703, 0.0], [0.40889649282818524, -0.627197660040483], [0.5173978007563639, 0.0], [0.5597396424406946, -0.3032689113356084], [-1.5742425277277965, 0.0], [0.5754474539640193, 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