# Stored data for newform 2205.4.a.ca, downloaded from the LMFDB on 23 April 2024. {"label": "2205.4.a.ca", "space_label": "2205.4.a", "level": 2205, "weight": 4, "hecke_orbit": 53, "hecke_orbit_code": 234187180690376861, "dim": 6, "is_polredabs": true, "nf_label": "6.6.1163891200.1", "trace_hash": 381741847754428836, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-28, 24, 134, 28, -29, -2, 1]], [11, [-9225436100, -145959100, 14188145, 121780, -7174, -16, 1]], [13, [12513937372, -142488452, -18677143, 335452, 5774, -168, 1]], [17, [-3807091762, -1617286496, 56343501, 258596, -15392, -4, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(2+3\\beta _{1}+2\\beta _{2}-\\beta _{3}-\\beta _{4}+\\cdots)q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 35280, "fricke_eigenval": 1, "atkin_lehner_string": "--+", "analytic_conductor": 130.09921156265804, "hecke_ring_index": 14, "level_radical": 105, "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": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [2205, 1, [1226, 442, 1081], [1, 1, 1]], "hecke_ring_generator_nbound": 17, "inner_twist_count": 1, "level_primes": [3, 5, 7], "conrey_indexes": [1], "field_disc": 1163891200, "field_disc_factorization": [[2, 9], [5, 2], [79, 1], [1151, 1]], "field_poly": [28, 152, 154, 12, -23, -2, 1], "hecke_ring_index_factorization": [[2, 1], [7, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.083", "prec": 17}, {"__RealLiteral__": 0, "data": "5.328", "prec": 17}, {"__RealLiteral__": 0, "data": "0.091", "prec": 17}, {"__RealLiteral__": 0, "data": "76.519", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, 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