# Stored data for newform 150.6.a.d, downloaded from the LMFDB on 25 April 2024.
{"label": "150.6.a.d", "space_label": "150.6.a", "level": 150, "weight": 6, "hecke_orbit": 4, "hecke_orbit_code": 13510798982774934, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1633797557938414922, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [176, 1]]], "qexp_display": "q-4q^{2}+9q^{3}+2^{4}q^{4}-6^{2}q^{6}-176q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 5400, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 24.057572971947096, "hecke_ring_index": 1, "level_radical": 30, "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": 0, "analytic_rank_proved": true, "char_values": [150, 1, [101, 127], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.001", "prec": 17}, {"__RealLiteral__": 0, "data": "0.969", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.930", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.844", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, 1]], "trace_display": [-4, 9, 0, -176], "traces": [0, 1, -4, 9, 16, 0, -36, -176, -64, 81, 0, -60, 144, 658, 704, 0, 256, 414, -324, 956, 0, -1584, 240, -600, -576, 0, -2632, 729, -2816, 5574, 0, -3592, -1024, -540, -1656, 0, 1296, 8458, -3824, 5922, 0, 19194, 6336, 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