# Stored data for newform 4026.2.a.bc, downloaded from the LMFDB on 23 April 2024.
{"label": "4026.2.a.bc", "space_label": "4026.2.a", "level": 4026, "weight": 2, "hecke_orbit": 29, "hecke_orbit_code": 126100789599932346, "dim": 9, "is_polredabs": true, "trace_hash": 489861347790058317, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [160, -604, -342, 1581, -631, -234, 147, -2, -8, 1]], [7, [5632, -10080, 772, 4924, -1663, -454, 250, -6, -9, 1]], [13, [-1724, -3800, 2737, 5213, -3699, -101, 400, -39, -8, 1]]], "qexp_display": "q+q^{2}+q^{3}+q^{4}+(1-\\beta _{1})q^{5}+q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16104, "fricke_eigenval": -1, "atkin_lehner_string": "---+", "analytic_conductor": 32.14777185376748, "hecke_ring_index": 1, "level_radical": 4026, "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": "0.006", "prec": 17}, "analytic_rank_proved": true, "char_values": [4026, 1, [1343, 1465, 3235], [1, 1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [2, 3, 11, 61], "conrey_indexes": [1], "field_disc": 57006083292732872, "field_disc_factorization": [[2, 3], [7125760411591609, 1]], "field_poly": [-68, 574, -250, -777, 100, 284, 7, -30, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.083", "prec": 17}, {"__RealLiteral__": 0, "data": "8.087", "prec": 17}, {"__RealLiteral__": 0, "data": "4.889", "prec": 17}, {"__RealLiteral__": 0, "data": "197.272", "prec": 24}, {"__RealLiteral__": 0, "data": "286.203", "prec": 24}, {"__RealLiteral__": 0, "data": "8356.793", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 9, "sato_tate_group": "1.2.3.c1", 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