# Stored data for newform 1805.2.a.t, downloaded from the LMFDB on 19 April 2024.
{"label": "1805.2.a.t", "space_label": "1805.2.a", "level": 1805, "weight": 2, "hecke_orbit": 20, "hecke_orbit_code": 85568392953595661, "dim": 9, "is_polredabs": true, "trace_hash": 909388439498392103, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [19, 27, -51, -72, 27, 48, -4, -12, 0, 1]], [3, [19, -75, -186, -6, 147, 39, -37, -12, 3, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(-\\beta _{1}-\\beta _{5})q^{3}+(1+\\beta _{1}+\\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": 7220, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 14.41299756484111, "hecke_ring_index": 1, "level_radical": 95, "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": "0.014", "prec": 17}, "analytic_rank_proved": true, "char_values": [1805, 1, [362, 1446], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [5, 19], "conrey_indexes": [1], "field_disc": 756819282249, "field_disc_factorization": [[3, 12], [89, 1], [16001, 1]], "field_poly": [19, 27, -51, -72, 27, 48, -4, -12, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8.256", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "208.374", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8902.557", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 9, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, 1], [19, 1]], "trace_display": [0, -3, -9, 0], "traces": [0, 9, 0, -3, 6, -9, 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