# Euler Factors of 1-1275-1275.263-r0-0-0 downloaded from the LMFDB on 16 January 2026.
{"bad_lfactors": [[3, [[1.0, 0.0]]], [5, [[1.0, 0.0]]], [17, [[1.0, 0.0]]]], "first_lfactors": [[2, [[1.0, 0.0], [0.30901699437494745, 0.9510565162951535]]], [3, [[1.0, 0.0]]], [5, [[1.0, 0.0]]], [7, [[1.0, 0.0], [-0.7071067811865475, -0.7071067811865475]]], [11, [[1.0, 0.0], [0.8910065241883678, 0.4539904997395467]]], [13, [[1.0, 0.0], [-0.9510565162951536, -0.30901699437494695]]], [17, [[1.0, 0.0]]], [19, [[1.0, 0.0], [0.5877852522924729, -0.8090169943749476]]], [23, [[1.0, 0.0], [-0.45399049973954647, 0.891006524188368]]], [29, [[1.0, 0.0], [-0.9876883405951378, -0.15643446504023029]]], [31, [[1.0, 0.0], [0.15643446504023098, 0.9876883405951377]]], [37, [[1.0, 0.0], [0.4539904997395468, 0.8910065241883678]]], [41, [[1.0, 0.0], [0.4539904997395468, 0.8910065241883678]]], [43, [[1.0, 0.0], [-1.0, 0.0]]], [47, [[1.0, 0.0], [0.587785252292473, 0.8090169943749473]]], [53, [[1.0, 0.0], [0.809016994374947, -0.5877852522924735]]], [59, [[1.0, 0.0], [0.9510565162951535, 0.30901699437494734]]], [61, [[1.0, 0.0], [0.8910065241883678, 0.4539904997395467]]], [67, [[1.0, 0.0], [-0.5877852522924729, 0.8090169943749476]]], [71, [[1.0, 0.0], [-0.9876883405951378, -0.15643446504023029]]], [73, [[1.0, 0.0], [-0.891006524188368, -0.45399049973954647]]], [79, [[1.0, 0.0], [-0.15643446504023062, 0.9876883405951377]]], [83, [[1.0, 0.0], [0.8090169943749475, 0.5877852522924729]]], [89, [[1.0, 0.0], [-0.3090169943749477, -0.9510565162951534]]], [97, [[1.0, 0.0], [-0.15643446504023062, 0.9876883405951377]]], [101, [[1.0, 0.0], [-1.0, 0.0]]]]}