# Stored data for newform 441.4.a.v, downloaded from the LMFDB on 19 April 2024.
{"label": "441.4.a.v", "space_label": "441.4.a", "level": 441, "weight": 4, "hecke_orbit": 22, "hecke_orbit_code": 94575592241889721, "dim": 4, "is_polredabs": true, "nf_label": "4.4.6257832.1", "trace_hash": 196942835095500770, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [42, 0, -19, 0, 1]], [5, [32928, 0, -433, 0, 1]], [13, [602, 51, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(2+\\beta _{2})q^{4}+(-\\beta _{1}-\\beta _{3})q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 7056, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 26.019842312531612, "hecke_ring_index": 2, "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": 2, "inner_twist_count": 2, "level_primes": [3, 7], "conrey_indexes": [1], "field_disc": 6257832, "field_disc_factorization": [[2, 3], [3, 1], [7, 1], [193, 2]], "field_poly": [42, 0, -19, 0, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.743", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "71.897", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1923.048", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [7, -1]], "trace_display": [0, 0, 0, 0], "traces": [0, 4, 0, 0, 6, 0, 0, 0, 0, 0, -22, 0, 0, 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