# Stored data for newform 3630.2.a.bt, downloaded from the LMFDB on 18 April 2024.
{"label": "3630.2.a.bt", "space_label": "3630.2.a", "level": 3630, "weight": 2, "hecke_orbit": 46, "hecke_orbit_code": 202661983265230382, "dim": 4, "is_polredabs": true, "nf_label": "4.4.43025.1", "trace_hash": 226302897855513702, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [100, 10, -21, -1, 1]], [13, [-11, 112, -27, -4, 1]]], "qexp_display": "q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+\\beta _{1}q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 14520, "fricke_eigenval": -1, "atkin_lehner_string": "---+", "analytic_conductor": 28.98569593372478, "hecke_ring_index": 1, "level_radical": 330, "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": [3630, 1, [1211, 727, 3511], [1, 1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [2, 3, 5, 11], "conrey_indexes": [1], "field_disc": 43025, "field_disc_factorization": [[5, 2], [1721, 1]], "field_poly": [100, 10, -21, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.032", "prec": 17}, {"__RealLiteral__": 0, "data": "3.709", "prec": 17}, {"__RealLiteral__": 0, "data": "1.317", "prec": 17}, {"__RealLiteral__": 0, "data": "36.293", "prec": 20}, {"__RealLiteral__": 0, "data": "26.005", "prec": 20}, {"__RealLiteral__": 0, "data": "554.327", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [5, -1], [11, 1]], "trace_display": [4, 4, 4, 1], "traces": [0, 4, 4, 4, 4, 4, 4, 1, 4, 4, 4, 0, 4, 4, 1, 4, 4, -5, 4, 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