# Euler Factors of 1-968-968.515-r1-0-0 downloaded from the LMFDB on 29 July 2026.
{"bad_lfactors": [[2, [[1.0, 0.0]]], [11, [[1.0, 0.0]]]], "first_lfactors": [[2, [[1.0, 0.0]]], [3, [[1.0, 0.0], [0.30901699437494695, -0.9510565162951536]]], [5, [[1.0, 0.0], [-0.6106478796354378, 0.7919022459222753]]], [7, [[1.0, 0.0], [0.9853538358476929, -0.17052219263262414]]], [11, [[1.0, 0.0]]], [13, [[1.0, 0.0], [-0.9740119169423335, 0.22649676742576444]]], [17, [[1.0, 0.0], [-0.3628077053506409, 0.9318640292114523]]], [19, [[1.0, 0.0], [0.7741416106390823, -0.6330124538088705]]], [23, [[1.0, 0.0], [0.14231483827328636, 0.9898214418809325]]], [29, [[1.0, 0.0], [0.2542183341934868, -0.9671468547019572]]], [31, [[1.0, 0.0], [-0.08557500847883992, -0.9963317308626913]]], [37, [[1.0, 0.0], [-0.5163974616389608, 0.8563490302515895]]], [41, [[1.0, 0.0], [0.9934817353485501, -0.11399140989054064]]], [43, [[1.0, 0.0], [-0.9594929736144974, -0.2817325568414294]]], [47, [[1.0, 0.0], [0.7367411378764049, 0.6761749002740193]]], [53, [[1.0, 0.0], [-0.6969375686552927, 0.7171318047589641]]], [59, [[1.0, 0.0], [0.9934817353485501, 0.1139914098905406]]], [61, [[1.0, 0.0], [-0.19859046664574564, -0.9800825610923933]]], [67, [[1.0, 0.0], [0.4154150130018865, 0.9096319953545183]]], [71, [[1.0, 0.0], [0.9983691039261356, -0.05708881086276834]]], [73, [[1.0, 0.0], [0.8973984286913583, -0.4412211012432214]]], [79, [[1.0, 0.0], [-0.9418443636395248, -0.3360493932154295]]], [83, [[1.0, 0.0], [-0.4666673232256742, -0.884432930997814]]], [89, [[1.0, 0.0], [0.8412535328311811, -0.5406408174555976]]], [97, [[1.0, 0.0], [0.610647879635438, 0.7919022459222751]]], [101, [[1.0, 0.0], [0.8707460771197769, -0.49173292464560414]]]]}