# Stored data for newform 8325.2.a.bt, downloaded from the LMFDB on 15 January 2025.
{"Nk2": 33300, "analytic_conductor": 66.47545968271592, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [5, -1], [37, 1]], "atkin_lehner_string": "--+", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [8325, 1, [3701, 7327, 5626], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 4400, "field_disc_factorization": [[2, 4], [5, 2], [11, 1]], "field_poly": [11, 0, -7, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[2, [-1, 1, 1]], [7, [-5, 0, 16, 8, 1]], [11, [5, 10, -1, -4, 1]], [13, [5, 10, -14, 2, 1]]], "hecke_orbit": 46, "hecke_orbit_code": 202661983265235077, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "8325.2.a.bt", "level": 8325, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [3, 5, 37], "level_radical": 555, "minimal_twist": "555.2.c.b", "nf_label": "4.4.4400.1", "prim_orbit_index": 1, "qexp_display": "q+(-1-\\beta _{2})q^{2}+\\beta _{2}q^{4}+(-2-\\beta _{3})q^{7}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "8325.2.a", "trace_display": [-2, 0, 0, -8], "trace_hash": 795754841700715, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, 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