# Stored data for newform 242.6.a.a, downloaded from the LMFDB on 19 April 2024.
{"label": "242.6.a.a", "space_label": "242.6.a", "level": 242, "weight": 6, "hecke_orbit": 1, "hecke_orbit_code": 100663538, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1814332301190737722, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [29, 1]], [7, [-230, 1]]], "qexp_display": "q-4q^{2}-29q^{3}+2^{4}q^{4}-31q^{5}+116q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 8712, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 38.81288439474131, "hecke_ring_index": 1, "level_radical": 22, "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": 0, "analytic_rank_proved": true, "char_values": [242, 1, [123], [1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 11], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.006", "prec": 17}, {"__RealLiteral__": 0, "data": "0.970", "prec": 17}, {"__RealLiteral__": 0, "data": "0.046", "prec": 17}, {"__RealLiteral__": 0, "data": "1.915", "prec": 17}, {"__RealLiteral__": 0, "data": "0.183", "prec": 17}, {"__RealLiteral__": 0, "data": "4.786", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [11, -1]], "trace_display": [-4, -29, -31, 230], "traces": [0, 1, -4, -29, 16, -31, 116, 230, -64, 598, 124, 0, -464, -112, -920, 899, 256, 1142, -2392, 612, -496, -6670, 0, -1941, 1856, -2164, 448, -10295, 3680, -1192, -3596, -1037, -1024, 0, -4568, -7130, 9568, 8083, -2448, 3248, 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