# Stored data for newform 441.6.a.bc, downloaded from the LMFDB on 20 April 2024.
{"label": "441.6.a.bc", "space_label": "441.6.a", "level": 441, "weight": 6, "hecke_orbit": 29, "hecke_orbit_code": 126100789667037625, "dim": 6, "is_polredabs": true, "trace_hash": 830247869433486672, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-135576, 0, 9570, 0, -187, 0, 1]], [5, [-56228247936, 0, 51437073, 0, -13138, 0, 1]], [13, [60080636, -783976, -77, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(30+\\beta _{3})q^{4}+(-2\\beta _{1}-\\beta _{2}+\\cdots)q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 15876, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 70.72926453752446, "hecke_ring_index": 36, "level_radical": 21, "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": "0.510", "prec": 17}, "analytic_rank_proved": true, "char_values": [441, 1, [344, 199], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 2, "level_primes": [3, 7], "conrey_indexes": [1], "field_disc": 2238131778089448024, "field_disc_factorization": [[2, 3], [3, 2], [7, 1], [269, 1], [419, 2], [9697, 2]], "field_poly": [-135576, 0, 9570, 0, -187, 0, 1], "hecke_ring_index_factorization": [[2, 2], [3, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.622", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "163.505", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "6669.629", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [7, 1]], 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