# Stored data for newform 162.8.a.g, downloaded from the LMFDB on 14 January 2025.
{"Nk2": 10368, "analytic_conductor": 50.606374128427724, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, -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": [162, 1, [83], [1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 43103376, "field_disc_factorization": [[2, 4], [3, 2], [299329, 1]], "field_poly": [18612, 384, -383, -2, 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": [[5, [-484199775, -43841520, -64206, 528, 1]]], "hecke_orbit": 7, "hecke_orbit_code": 27021597898440866, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 104976, "hecke_ring_index_factorization": [[2, 4], [3, 8]], "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": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "162.8.a.g", "level": 162, "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": [2, 3], "level_radical": 6, "minimal_twist": "162.8.a.g", "nf_label": "4.4.43103376.1", "prim_orbit_index": 1, "qexp_display": "q-8q^{2}+2^{6}q^{4}+(-132+\\beta _{1})q^{5}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "7.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "162.8.a", "trace_display": [-32, 0, -528, 560], "trace_hash": 746319606282313187, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.012", "prec": 17}, {"__RealLiteral__": 0, 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