# Coefficient data for embedded newform 578.2.d.f.423.1, downloaded from the LMFDB on 14 June 2024. {"label": "578.2.d.f.423.1", "an_normalized": [[1.0, 0.0], [0.5, 0.5], [0.0, 0.0], [0.0, 0.5], [-0.5843127212694496, 0.24203025381693608], [0.0, 0.0], [0.0, 0.0], [-0.25, 0.25], [0.7071067811865476, -0.7071067811865476], [-0.41317148754319283, -0.17114123372625678], [-0.6527070553412875, 1.5757742252615425], [0.0, 0.0], [0.0, 1.1094003924504583], [0.0, 0.0], [0.0, 0.0], [-0.25, 0.0], [0.0, 0.0], [0.7071067811865476, 0.0], [0.6488856845230502, 0.6488856845230502], [-0.12101512690846804, -0.2921563606347248], [0.0, 0.0], [-1.114240640301415, 0.46153358496012753], [-0.45138875084783286, 1.089748844199488], [0.0, 0.0], [-0.4242640687119285, 0.4242640687119285], [-0.5547001962252291, 0.5547001962252291], [0.0, 0.0], [0.0, 0.0], [0.7278679548369908, -0.301492778510249], [0.0, 0.0], [-0.3888067560898817, -0.9386625436944803], [-0.125, -0.125], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], 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