# Stored data for newform 208.10.a.j, downloaded from the LMFDB on 04 September 2025.
{"Nk2": 20800, "analytic_conductor": 107.1274539220856, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [13, 1]], "atkin_lehner_string": "++", "char_conductor": 1, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [208, 1, [79, 53, 145], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 6, "field_disc": 273120452206471928893160851392, "field_disc_factorization": [[2, 6], [3, 1], [7, 1], [149, 1], [1021, 1], [177953, 1], [7506502433244739, 1]], "field_poly": [-2195812679340, 50183965132, 1089377733, -2752492, -69754, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[3, [-1588484286720, 70867356192, 965100573, -5522652, -68254, 60, 1]]], "hecke_orbit": 10, "hecke_orbit_code": 40532396814106832, "hecke_ring_generator_nbound": 11, "hecke_ring_index": 12288, "hecke_ring_index_factorization": [[2, 12], [3, 1]], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "208.10.a.j", "level": 208, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 13], "level_radical": 26, "minimal_twist": "104.10.a.b", "prim_orbit_index": 1, "qexp_display": "q+(-10+\\beta _{1})q^{3}+(29-2\\beta _{1}+\\beta _{2}+\\cdots)q^{5}+\\cdots", "related_objects": [], "relative_dim": 6, "rm_discs": [], "sato_tate_group": "9.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "208.10.a", "trace_display": [0, -60, 176, -3416], "trace_hash": 232944403813735001, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.684", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "92.691", "prec": 20}, {"__RealLiteral__": 0, "data": "21.922", "prec": 20}, {"__RealLiteral__": 0, "data": "2294.720", "prec": 27}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, "traces": [0, 6, 0, -60, 0, 176, 0, -3416, 0, 22010, 0, 101316, 0, -171366, 0, -257460, 0, -170304, 0, 92084, 0, -424004, 0, -2369944, 0, 2043598, 0, 6428196, 0, -9021404, 0, 9894388, 0, 6717200, 0, 1910916, 0, 2974376, 0, 1713660, 0, -2977668, 0, 31585340, 0, -99427116, 0, 1766688, 0, -25397750, 0, 68102932, 0, -137836444, 0, 64702520, 0, -253569848, 0, 128523972, 0, 33822404, 0, 359085076, 0, -5026736, 0, 618333476, 0, -837582264, 0, 52534456, 0, -667586460, 0, 940557360, 0, -944797672, 0, 399417496, 0, -821518498, 0, 467205356, 0, -2583200620, 0, 219585328, 0, 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