# Stored data for newform 2842.2.a.ba, downloaded from the LMFDB on 19 April 2024.
{"label": "2842.2.a.ba", "space_label": "2842.2.a", "level": 2842, "weight": 2, "hecke_orbit": 27, "hecke_orbit_code": 117093590345190170, "dim": 6, "is_polredabs": true, "nf_label": "6.6.52756992.1", "trace_hash": 289754881106113028, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [-2, 0, 1]], [5, [-8, 0, 324, 0, -36, 0, 1]]], "qexp_display": "q-q^{2}+\\beta _{2}q^{3}+q^{4}-\\beta _{1}q^{5}-\\beta _{2}q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 11368, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 22.693484254447885, "hecke_ring_index": 8, "level_radical": 406, "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": "0.516", "prec": 17}, "analytic_rank_proved": true, "char_values": [2842, 1, [1277, 785], [1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 2, "level_primes": [2, 7, 29], "conrey_indexes": [1], "field_disc": 52756992, "field_disc_factorization": [[2, 9], [3, 2], [107, 2]], "field_poly": [-7, -20, 22, 18, -13, -2, 1], "hecke_ring_index_factorization": [[2, 3]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.562", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "174.589", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8184.500", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [7, 1], [29, 1]], "trace_display": [-6, 0, 0, 0], "traces": [0, 6, -6, 0, 6, 0, 0, 0, -6, -6, 0, -4, 0, 0, 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