# Stored data for newform 1150.2.a.m, downloaded from the LMFDB on 29 April 2026.
{"Nk2": 4600, "analytic_conductor": 9.182796232447243, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [5, 1], [23, -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": [1150, 1, [277, 51], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 13, "field_disc_factorization": [[13, 1]], "field_poly": [-3, -1, 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, [-1, 3, 1]], [7, [-1, 3, 1]], [11, [9, 7, 1]]], "hecke_orbit": 13, "hecke_orbit_code": 54043195562001534, "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": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "1150.2.a.m", "level": 1150, "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, 5, 23], "level_radical": 230, "minimal_twist": "230.2.a.b", "nf_label": "2.2.13.1", "prim_orbit_index": 1, "qexp_display": "q+q^{2}+(-1-\\beta )q^{3}+q^{4}+(-1-\\beta )q^{6}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1150.2.a", "trace_display": [2, -3, 0, -3], "trace_hash": 1582011739688220066, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.028", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10.053", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "68.841", "prec": 20}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.012", "prec": 17}, "traces": [0, 2, 2, -3, 2, 0, -3, -3, 2, 5, 0, -7, -3, -3, -3, 0, 2, -3, 5, 1, 0, -2, -7, 2, -3, 0, -3, -18, -3, 2, 0, -5, 2, 17, -3, 0, 5, -16, 1, -2, 0, -9, -2, 4, -7, 0, 2, -2, -3, -3, 0, -15, -3, 8, -18, 0, -3, 18, 2, -14, 0, 5, -5, 12, 2, 0, 17, 8, -3, -3, 0, -29, 5, -10, -16, 0, 1, 4, -2, 0, 0, 38, -9, -8, -2, 0, 4, -16, -7, 0, 0, 11, 2, -12, -2, 0, -3, -9, -3, -37, 0, -2, -15, 9, -3, 0, 8, -2, -18, 21, 0, 24, -3, 4, 18, 0, 2, 12, -14, 24, 0, 9, 5, 33, -5, 0, 12, 2, 2, 20, 0, -8, 17, -21, 8, 0, -3, 3, -3, -18, 0, 16, -29, 4, 5, 0, -10, 24, -16, 23, 0, 7, 1, 51, 4, 0, -2, 30, 0, 14, 0, -3, 38, -15, -9, 0, -8, -28, -2, -15, 0, -56, 4, -43, -16, 0, -7, 34, 0, 26, 0, 9, 11, 25, 2, 0, -12, -9, -2, 1, 0, -10, -3, 14, -9, 0, -3, -5, -37, -12, 0, -12, -2, 10, 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