# Coefficient data for embedded newform 690.3.g.a.461.5, downloaded from the LMFDB on 25 April 2024. {"label": "690.3.g.a.461.5", "an_normalized": [[1.0, 0.0], [0.0, -0.7071067811865476], [-0.9108265056195466, -0.4127893853539431], [-0.5, 0.0], [0.0, 0.4472135954999579], [-0.2918861735856001, 0.6440515986080284], [0.5915961057446916, 0.0], [0.0, 0.3535533905932738], [0.6592098466782277, 0.7519590268375449], [0.31622776601683794, 0.0], [0.0, -1.6549087903384052], [0.4554132528097733, 0.20639469267697155], [-0.6502103713826719, 0.0], [0.0, -0.41832161809562524], [0.1846050252083546, -0.4073339964547801], [0.25, 0.0], [0.0, 0.83992838931908], [0.531715327051265, -0.4661317528111191], [-1.345802908598584, 0.0], [0.0, -0.22360679774997896], [-0.5388414137335691, -0.24420459286813756], [-1.1701972278935129, 0.0], [0.0, -0.20851441405707477], [0.14594308679280005, -0.3220257993040142], [-0.2, 0.0], [0.0, 0.45976816280251076], [-0.29002509662030784, -0.9570190402130885], [-0.2957980528723458, 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