# Stored data for newform 450.6.a.bc, downloaded from the LMFDB on 19 April 2024.
{"label": "450.6.a.bc", "space_label": "450.6.a", "level": 450, "weight": 6, "hecke_orbit": 29, "hecke_orbit_code": 126100789667037634, "dim": 2, "is_polredabs": true, "nf_label": "2.2.1249.1", "trace_hash": 1669616544924347793, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [-27976, 114, 1]], [11, [-23656, 174, 1]], [17, [292024, -1514, 1]]], "qexp_display": "q+4q^{2}+2^{4}q^{4}+(-57-\\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": 10, "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": 1249, "field_disc_factorization": [[1249, 1]], "field_poly": [-312, -1, 1], "hecke_ring_index_factorization": [[2, 1], [5, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.992", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10.152", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "71.430", "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, -114], "traces": [0, 2, 8, 0, 32, 0, 0, -114, 128, 0, 0, -174, 0, -642, -456, 0, 512, 1514, 0, 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