# Stored data for newform 387.4.a.h, downloaded from the LMFDB on 25 April 2024.
{"label": "387.4.a.h", "space_label": "387.4.a", "level": 387, "weight": 4, "hecke_orbit": 8, "hecke_orbit_code": 31525197458702723, "dim": 6, "is_polredabs": true, "trace_hash": 1371481278539736431, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [540, 608, 26, -124, -17, 6, 1]]], "qexp_display": "q+(-1+\\beta _{1})q^{2}+(4-\\beta _{1}+\\beta _{3}-\\beta _{4}+\\cdots)q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 6192, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 22.833739172221616, "hecke_ring_index": 2, "level_radical": 129, "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": [387, 1, [173, 46], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [3, 43], "conrey_indexes": [1], "field_disc": 213883916352, "field_disc_factorization": [[2, 6], [3, 1], [1113978731, 1]], "field_poly": [60, 276, 251, -16, -32, 0, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.572", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "85.980", "prec": 20}, {"__RealLiteral__": 0, "data": "7.569", "prec": 17}, {"__RealLiteral__": 0, "data": "2115.004", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [43, 1]], "trace_display": [-6, 0, -43, 8], "traces": [0, 6, -6, 0, 22, -43, 0, 8, -54, 0, 57, 28, 0, 56, 184, 0, -54, -19, 0, -75, 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