# Stored data for newform 1856.4.a.bi, downloaded from the LMFDB on 23 April 2024.
{"label": "1856.4.a.bi", "space_label": "1856.4.a", "level": 1856, "weight": 4, "hecke_orbit": 35, "hecke_orbit_code": 153122387397707584, "dim": 10, "is_polredabs": true, "trace_hash": 2131535035520571296, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-2900, 0, 1287417, 0, -183092, 0, 8686, 0, -160, 0, 1]], [5, [108774, 21917, -1676, -422, -2, 1]], [7, [-839836258304, 0, 37753198848, 0, -452968704, 0, 1700448, 0, -2288, 0, 1]]], "qexp_display": "q-\\beta _{1}q^{3}+\\beta _{2}q^{5}-\\beta _{6}q^{7}+(5-\\beta _{5}+\\cdots)q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 29696, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 109.50754497065458, "hecke_ring_index": 16384, "level_radical": 58, "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": "0.505", "prec": 17}, "analytic_rank_proved": true, "char_values": [1856, 1, [639, 581, 321], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 2, "level_primes": [2, 29], "conrey_indexes": [1], "field_disc": 1526751938810962123433216, "field_disc_factorization": [[2, 8], [29, 1], [47, 2], [305117699, 2]], "field_poly": [128592, -18800, -265632, 188664, 2315, -26136, 3323, 788, -135, -4, 1], "hecke_ring_index_factorization": [[2, 14]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.123", "prec": 17}, {"__RealLiteral__": 0, "data": "9.114", "prec": 17}, {"__RealLiteral__": 0, "data": "0.438", "prec": 17}, {"__RealLiteral__": 0, "data": "484.341", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "40437.068", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], 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