# Stored data for newform 2058.2.a.m, downloaded from the LMFDB on 05 October 2024. {"Nk2": 8232, "analytic_conductor": 16.433212735979502, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, 1], [7, 1]], "atkin_lehner_string": "-++", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [2058, 1, [1373, 1375], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 6, "field_disc": 72070817, "field_disc_factorization": [[7, 4], [13, 1], [2309, 1]], "field_poly": [-377, -107, 187, 21, -25, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[5, [-232, 208, 118, -67, -24, 3, 1]], [11, [-104, -416, 34, 147, -36, -3, 1]]], "hecke_orbit": 13, "hecke_orbit_code": 54043195562002442, "hecke_ring_generator_nbound": 13, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": true, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "2058.2.a.m", "level": 2058, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 3, 7], "level_radical": 42, "minimal_twist": "2058.2.a.m", "nf_label": "6.6.72070817.1", "prim_orbit_index": 1, "qexp_display": "q+q^{2}-q^{3}+q^{4}+(-\\beta _{1}+\\beta _{2})q^{5}+\\cdots", "related_objects": [], "relative_dim": 6, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "2058.2.a", "trace_display": [6, -6, -3, 0], "trace_hash": 498262571999623378, "trace_moments": [{"__RealLiteral__": 0, "data": "0.031", "prec": 17}, {"__RealLiteral__": 0, "data": "5.569", "prec": 17}, {"__RealLiteral__": 0, "data": "0.061", "prec": 17}, {"__RealLiteral__": 0, "data": "86.339", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2079.040", "prec": 27}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.009", "prec": 17}, "traces": [0, 6, 6, -6, 6, -3, -6, 0, 6, 6, -3, 3, -6, -3, 0, 3, 6, -6, 6, 5, -3, 0, 3, 12, -6, 27, -3, -6, 0, 21, 3, 2, 6, -3, -6, 0, 6, 21, 5, 3, -3, -4, 0, 15, 3, -3, 12, 10, -6, 0, 27, 6, -3, 19, -6, 18, 0, -5, 21, 7, 3, 21, 2, 0, 6, 6, -3, -1, -6, -12, 0, 2, 6, 32, 21, -27, 5, 0, 3, 2, -3, 6, -4, 23, 0, 4, 15, -21, 3, 6, -3, 0, 12, -2, 10, -8, -6, 56, 0, 3, 27, -11, 6, 6, -3, 0, 19, 3, -6, 9, 18, -21, 0, 20, -5, 38, 21, -3, 7, 0, 3, 15, 21, 4, 2, -12, 0, 20, 6, -15, 6, -29, -3, 0, -1, 3, -6, -4, -12, 5, 0, -10, 2, 26, 6, 60, 32, 0, 21, -1, -27, -2, 5, -6, 0, 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