# Stored data for newform 2601.2.a.bi, downloaded from the LMFDB on 28 March 2024. {"label": "2601.2.a.bi", "space_label": "2601.2.a", "level": 2601, "weight": 2, "hecke_orbit": 35, "hecke_orbit_code": 153122387364153897, "dim": 6, "is_polredabs": true, "nf_label": "6.6.3418281.1", "trace_hash": 2028604097200817836, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [8, 24, 6, -19, -6, 3, 1]], [5, [136, -228, 60, 51, -18, -3, 1]], [7, [-477, -297, 171, 75, -27, -3, 1]]], "qexp_display": "q+\\beta _{4}q^{2}+(1+\\beta _{1}+\\beta _{2}-\\beta _{4}+2\\beta _{5})q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 10404, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 20.76908956573503, "hecke_ring_index": 1, "level_radical": 51, "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": "0.009", "prec": 17}, "analytic_rank_proved": true, "char_values": [2601, 1, [290, 2026], [1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [3, 17], "conrey_indexes": [1], "field_disc": 3418281, "field_disc_factorization": [[3, 8], [521, 1]], "field_poly": [-1, 12, 18, -4, -9, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.092", "prec": 17}, {"__RealLiteral__": 0, "data": "5.449", "prec": 17}, {"__RealLiteral__": 0, "data": "0.556", "prec": 17}, {"__RealLiteral__": 0, "data": "81.837", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1880.645", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": 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