# Stored data for newform 4029.2.a.d, downloaded from the LMFDB on 25 April 2024.
{"label": "4029.2.a.d", "space_label": "4029.2.a", "level": 4029, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13510798915669949, "dim": 3, "is_polredabs": true, "nf_label": "3.3.148.1", "trace_hash": 2215727017195557664, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [2, -4, 0, 1]], [5, [-1, 5, 5, 1]]], "qexp_display": "q+\\beta _{2}q^{2}-q^{3}+(1-\\beta _{1}-\\beta _{2})q^{4}+(-2+\\cdots)q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16116, "fricke_eigenval": 1, "atkin_lehner_string": "+--", "analytic_conductor": 32.17172697437387, "hecke_ring_index": 1, "level_radical": 4029, "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": "0.004", "prec": 17}, "analytic_rank_proved": true, "char_values": [4029, 1, [2687, 3556, 3163], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 17, 79], "conrey_indexes": [1], "field_disc": 148, "field_disc_factorization": [[2, 2], [37, 1]], "field_poly": [1, -3, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.051", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "25.810", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "317.095", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [17, -1], [79, -1]], "trace_display": [0, -3, -5, 3], "traces": [0, 3, 0, -3, 2, -5, 0, 3, -6, 3, -2, 4, -2, 10, 0, 5, -4, 3, 0, -1, -8, -3, 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