# Stored data for newform 3025.2.a.bd, downloaded from the LMFDB on 18 April 2024.
{"label": "3025.2.a.bd", "space_label": "3025.2.a", "level": 3025, "weight": 2, "hecke_orbit": 30, "hecke_orbit_code": 130604389227301841, "dim": 4, "is_polredabs": true, "nf_label": "4.4.725.1", "trace_hash": 1235747289451962149, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [1, 1, -3, -1, 1]], [3, [-1, -5, -6, 0, 1]], [19, [25, 275, 130, 20, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(1-\\beta _{2}-\\beta _{3})q^{3}+(-1+\\beta _{1}+\\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": 12100, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 24.154746611437314, "hecke_ring_index": 1, "level_radical": 55, "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": "0.009", "prec": 17}, "analytic_rank_proved": true, "char_values": [3025, 1, [727, 2301], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [5, 11], "conrey_indexes": [1], "field_disc": 725, "field_disc_factorization": [[5, 2], [29, 1]], "field_poly": [1, 1, -3, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.687", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "34.930", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "490.840", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, 1], [11, 1]], "trace_display": [1, 0, 0, 3], "traces": [0, 4, 1, 0, -1, 0, -1, 3, 3, 0, 0, 0, -8, 1, 2, 0, -3, 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