# Stored data for newform 8550.2.a.ck, downloaded from the LMFDB on 24 April 2024.
{"label": "8550.2.a.ck", "space_label": "8550.2.a", "level": 8550, "weight": 2, "hecke_orbit": 63, "hecke_orbit_code": 279223176930533734, "dim": 3, "is_polredabs": true, "nf_label": "3.3.568.1", "trace_hash": 1974267648098167048, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [2, -1, -4, 1]], [11, [8, -10, 0, 1]], [13, [2, 13, -8, 1]], [17, [4, -7, -2, 1]], [23, [-122, -49, 0, 1]], [53, [106, 77, 16, 1]]], "qexp_display": "q-q^{2}+q^{4}+(1+\\beta _{1})q^{7}-q^{8}+(\\beta _{1}+\\cdots)q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 34200, "fricke_eigenval": -1, "atkin_lehner_string": "+---", "analytic_conductor": 68.27209372819473, "hecke_ring_index": 1, "level_radical": 570, "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": "0.013", "prec": 17}, "analytic_rank_proved": true, "char_values": [8550, 1, [1901, 1027, 1351], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 3, 5, 19], "conrey_indexes": [1], "field_disc": 568, "field_disc_factorization": [[2, 3], [71, 1]], "field_poly": [-2, -6, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.023", "prec": 17}, {"__RealLiteral__": 0, "data": "2.882", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "23.227", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "279.546", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, -1], [19, -1]], 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