# Stored data for newform 450.6.a.ba, downloaded from the LMFDB on 25 April 2024.
{"label": "450.6.a.ba", "space_label": "450.6.a", "level": 450, "weight": 6, "hecke_orbit": 27, "hecke_orbit_code": 117093590412296642, "dim": 2, "is_polredabs": true, "nf_label": "2.2.4081.1", "trace_hash": 955729632518870119, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [-34229, -100, 1]], [11, [-74016, -540, 1]], [17, [-3612384, -492, 1]]], "qexp_display": "q-4q^{2}+2^{4}q^{4}+(50-\\beta )q^{7}-2^{6}q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16200, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 72.17271891584129, "hecke_ring_index": 6, "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": {"__RealLiteral__": 0, "data": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [450, 1, [101, 127], [1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 3, 5], "conrey_indexes": [1], "field_disc": 4081, "field_disc_factorization": [[7, 1], [11, 1], [53, 1]], "field_poly": [-1020, -1, 1], "hecke_ring_index_factorization": [[2, 1], [3, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.061", "prec": 17}, {"__RealLiteral__": 0, "data": "1.962", "prec": 17}, {"__RealLiteral__": 0, "data": "0.357", "prec": 17}, {"__RealLiteral__": 0, "data": "9.966", "prec": 17}, {"__RealLiteral__": 0, "data": "2.607", "prec": 17}, {"__RealLiteral__": 0, "data": "72.918", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1], [5, -1]], "trace_display": [-8, 0, 0, 100], "traces": [0, 2, -8, 0, 32, 0, 0, 100, -128, 0, 0, 540, 0, -890, -400, 0, 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