# Stored data for newform 230.6.a.g, downloaded from the LMFDB on 24 April 2024.
{"label": "230.6.a.g", "space_label": "230.6.a", "level": 230, "weight": 6, "hecke_orbit": 7, "hecke_orbit_code": 27021597864886502, "dim": 5, "is_polredabs": true, "trace_hash": 2055200649846011195, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-2820, 11615, 2051, -762, -5, 1]]], "qexp_display": "q-4q^{2}+(1+\\beta _{1})q^{3}+2^{4}q^{4}-5^{2}q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 8280, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 36.88827855698555, "hecke_ring_index": 2, "level_radical": 230, "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": 0, "analytic_rank_proved": true, "char_values": [230, 1, [47, 51], [1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 5, 23], "conrey_indexes": [1], "field_disc": 215658356741907900, "field_disc_factorization": [[2, 2], [3, 1], [5, 2], [14159, 1], [50770618627, 1]], "field_poly": [10080, 13416, -255, -772, 0, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.099", "prec": 17}, {"__RealLiteral__": 0, "data": "4.867", "prec": 17}, {"__RealLiteral__": 0, "data": "1.032", "prec": 17}, {"__RealLiteral__": 0, "data": "67.499", "prec": 20}, {"__RealLiteral__": 0, "data": "15.454", "prec": 20}, {"__RealLiteral__": 0, "data": "1498.278", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [5, 1], [23, -1]], "trace_display": [-20, 5, -125, 130], "traces": [0, 5, -20, 5, 80, -125, -20, 130, -320, 334, 500, 81, 80, -753, -520, -125, 1280, -1780, -1336, 1933, 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