# Stored data for newform 1166.2.a.i, downloaded from the LMFDB on 09 September 2025.
{"Nk2": 4664, "analytic_conductor": 9.310556875681293, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [11, 1], [53, -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": [1166, 1, [849, 903], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 4352, "field_disc_factorization": [[2, 8], [17, 1]], "field_poly": [2, -4, -6, 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": [[3, [-7, -12, 0, 4, 1]], [7, [-46, -52, -10, 4, 1]]], "hecke_orbit": 9, "hecke_orbit_code": 36028797052519566, "hecke_ring_generator_nbound": 3, "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": true, "is_maximal": true, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "1166.2.a.i", "level": 1166, "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": true, "level_primes": [2, 11, 53], "level_radical": 1166, "minimal_twist": "1166.2.a.i", "nf_label": "4.4.4352.1", "prim_orbit_index": 1, "qexp_display": "q+q^{2}+(-1-\\beta _{1}+\\beta _{3})q^{3}+q^{4}+(-1+\\cdots)q^{5}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1166.2.a", "trace_display": [4, -4, -4, -4], "trace_hash": 1260105988370490691, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.721", "prec": 17}, {"__RealLiteral__": 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