# Coefficient data for embedded newform 825.4.a.k.1.2, downloaded from the LMFDB on 02 September 2025. {"label": "825.4.a.k.1.2", "an_normalized": [[1.0, 0.0], [0.8387281052828581, 0.0], [-0.5773502691896257, 0.0], [-0.2965351654086268, 0.0], [0.0, 0.0], [-0.48423989736196293, 0.0], [-0.36417215233949496, 0.0], [-1.0874404827157746, 0.0], [0.3333333333333333, 0.0], [0.0, 0.0], [0.30151134457776363, 0.0], [0.17120465757286088, 0.0], [1.3009479832926836, 0.0], [-0.305441419328485, 0.0], [0.0, 0.0], [-0.6155317302674516, 0.0], [1.4148164415323181, 0.0], [0.2795760350942861, 0.0], [0.29825329912543563, 0.0], [0.0, 0.0], [0.21025489018457283, 0.0], [0.2528860387589947, 0.0], [-1.0153745380170598, 0.0], [0.6278340554236491, 0.0], [0.0, 0.0], [1.0911416370986278, 0.0], [-0.19245008972987526, 0.0], [0.10798984943120778, 0.0], [-0.13526907030670507, 0.0], [0.0, 0.0], [-1.8465583650316606, 0.0], [0.5711767208470757, 0.0], [-0.17407765595569785, 0.0], [1.1866463133294367, 0.0], [0.0, 0.0], 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