# Stored data for newform 672.4.a.p, downloaded from the LMFDB on 30 April 2024.
{"label": "672.4.a.p", "space_label": "672.4.a", "level": 672, "weight": 4, "hecke_orbit": 16, "hecke_orbit_code": 67553994477666976, "dim": 3, "is_polredabs": true, "nf_label": "3.3.37341.1", "trace_hash": 1120658842020023987, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [1632, -216, -6, 1]], [11, [-95488, -3060, 48, 1]]], "qexp_display": "q-3q^{3}+(2-\\beta _{1})q^{5}-7q^{7}+9q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 10752, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 39.64928352385769, "hecke_ring_index": 16, "level_radical": 42, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [672, 1, [127, 421, 449, 577], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 7], "conrey_indexes": [1], "field_disc": 37341, "field_disc_factorization": [[3, 4], [461, 1]], "field_poly": [-148, -57, 0, 1], "hecke_ring_index_factorization": [[2, 4]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.020", "prec": 17}, {"__RealLiteral__": 0, "data": "2.834", "prec": 17}, {"__RealLiteral__": 0, "data": "0.340", "prec": 17}, {"__RealLiteral__": 0, "data": "20.908", "prec": 20}, {"__RealLiteral__": 0, "data": "7.876", "prec": 17}, {"__RealLiteral__": 0, "data": "224.686", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1], [7, 1]], "trace_display": [0, -9, 6, -21], "traces": [0, 3, 0, -9, 0, 6, 0, -21, 0, 27, 0, -48, 0, 6, 0, -18, 0, 54, 0, -84, 0, 63, 0, -48, 0, 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