# Stored data for newform 1503.4.a.b, downloaded from the LMFDB on 04 May 2024.
{"label": "1503.4.a.b", "space_label": "1503.4.a", "level": 1503, "weight": 4, "hecke_orbit": 2, "hecke_orbit_code": 4503599694480863, "dim": 19, "is_polredabs": true, "trace_hash": 1521776217556704034, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [362016, -2731104, -488616, 33681568, -31594800, -71822499, 23631389, 40212888, -7121073, -10105015, 1079599, 1356761, -89794, -103845, 4163, 4534, -101, -105, 1, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+(3+\\beta _{2})q^{4}+(-1-\\beta _{13}+\\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": 24048, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 88.67987073862814, "hecke_ring_index": 4, "level_radical": 501, "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": 0, "analytic_rank_proved": true, "char_values": [1503, 1, [335, 172], [1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [3, 167], "conrey_indexes": [1], "field_disc": 2286404653435023573697519141347192806427280004248276876069642012864, "field_disc_factorization": [[2, 6], [2341, 1], [214579304699, 1], [16697807202383, 1], [4259164673769138921153200041302416683, 1]], "field_poly": [-362016, -2731104, 488616, 33681568, 31594800, -71822499, -23631389, 40212888, 7121073, -10105015, -1079599, 1356761, 89794, -103845, -4163, 4534, 101, -105, -1, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "14.468", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "617.829", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, 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