# Stored data for newform 2151.2.a.g, downloaded from the LMFDB on 25 April 2024.
{"label": "2151.2.a.g", "space_label": "2151.2.a", "level": 2151, "weight": 2, "hecke_orbit": 7, "hecke_orbit_code": 27021597797779559, "dim": 8, "is_polredabs": true, "nf_label": "8.8.2585660609.1", "trace_hash": 1269091249493614334, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-11, 12, 31, -33, -22, 25, 1, -5, 1]], [5, [-1, -41, -81, 151, 20, -113, 61, -13, 1]]], "qexp_display": "q+(1+\\beta _{2})q^{2}+(1+\\beta _{2}+\\beta _{3})q^{4}+(2+\\cdots)q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 8604, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 17.17582147477741, "hecke_ring_index": 4, "level_radical": 717, "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": "0.005", "prec": 17}, "analytic_rank_proved": true, "char_values": [2151, 1, [479, 1441], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 239], "conrey_indexes": [1], "field_disc": 2585660609, "field_disc_factorization": [[7, 1], [369380087, 1]], "field_poly": [-1, 3, 6, -19, 1, 15, -4, -3, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.116", "prec": 17}, {"__RealLiteral__": 0, "data": "6.985", "prec": 17}, {"__RealLiteral__": 0, "data": "3.424", "prec": 17}, {"__RealLiteral__": 0, "data": "149.370", "prec": 24}, {"__RealLiteral__": 0, "data": "137.979", "prec": 24}, {"__RealLiteral__": 0, "data": "5308.986", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [239, 1]], "trace_display": [5, 0, 13, -7], "traces": [0, 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