# Stored data for newform 1856.4.a.bl, downloaded from the LMFDB on 20 April 2024.
{"label": "1856.4.a.bl", "space_label": "1856.4.a", "level": 1856, "weight": 4, "hecke_orbit": 38, "hecke_orbit_code": 166633186279819072, "dim": 12, "is_polredabs": true, "trace_hash": 2265870215630915252, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-11605016, 34164648, 11333891, -18457158, -3164363, 2483536, 113150, -122236, 2402, 2360, -129, -14, 1]], [5, [2158837575300, 31718775060, -161375255195, -3397758554, 4379523877, 112129888, -54452022, -1372684, 331222, 6652, -943, -10, 1]], [7, [-51510514450432, 31912018231296, 12388290966528, 520863366144, -169954399488, -15344836096, 376753216, 69463360, 566608, -100512, -1844, 44, 1]]], "qexp_display": "q+(1+\\beta _{1})q^{3}+(1-\\beta _{4})q^{5}+(-4+\\beta _{6}+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 29696, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 109.50754497065458, "hecke_ring_index": 131072, "level_radical": 58, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [1856, 1, [639, 581, 321], [1, 1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 29], "conrey_indexes": [1], "field_disc": 2543754660027469948570467102146560, "field_disc_factorization": [[2, 14], [5, 1], [7, 3], [383, 1], [9437, 1], [70571, 1], [2402857, 1], [147708073, 1]], "field_poly": [14751072, 1083456, -38912400, -7979328, 7106592, 989168, -509640, -37368, 16022, 520, -217, -2, 1], "hecke_ring_index_factorization": [[2, 17]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.178", "prec": 17}, {"__RealLiteral__": 0, "data": "10.877", "prec": 20}, 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