# Stored data for newform 5.19.c.a, downloaded from the LMFDB on 13 May 2024.
{"label": "5.19.c.a", "space_label": "5.19.c", "level": 5, "weight": 19, "hecke_orbit": 1, "hecke_orbit_code": 137757720581, "dim": 16, "is_polredabs": true, "trace_hash": 269417467714289546, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "qexp_display": "q+(2^{5}+\\beta _{2}+2^{5}\\beta _{4})q^{2}+(-1259-5\\beta _{1}+\\cdots)q^{3}+\\cdots", "char_order": 4, "char_parity": -1, "char_degree": 2, "char_conductor": 5, "char_orbit_label": "c", "char_is_real": false, "Nk2": 1805, "analytic_conductor": 10.269306885488183, "hecke_ring_index": 87071293440000000000000000000000000, "level_radical": 5, "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": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.246", "prec": 17}, "analytic_rank_proved": true, "char_values": [5, 4, [2], [1]], "hecke_ring_generator_nbound": 9, "inner_twist_count": 2, "level_primes": [5], "conrey_indexes": [2, 3], "field_disc": 64617904847139057821344511731129218957197010591052700524736510813874384190086821102559522998940680987528265793536, "field_disc_factorization": [[2, 16], [3, 8], [29, 2], [22031, 2], [732551670313, 2], [26192742940353308400870696954148933, 2]], "field_poly": [223860255706571447791285331558400000000, 0, 174469353400289826571825446912000000, 0, 38033703783600508125786931200000, 0, 1698608176414048875695308800, 0, 26804517896227604816896, 0, 196541937723225664, 0, 735328563216, 0, 1365649, 0, 1], "hecke_ring_index_factorization": [[2, 39], [3, 12], [5, 25]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "13.647", "prec": 20}, {"__RealLiteral__": 0, "data": "3.480", "prec": 17}, {"__RealLiteral__": 0, "data": "686.482", "prec": 24}, {"__RealLiteral__": 0, "data": "283.942", "prec": 24}, {"__RealLiteral__": 0, "data": 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