# Stored data for newform 1045.2.a.h, downloaded from the LMFDB on 24 April 2024.
{"label": "1045.2.a.h", "space_label": "1045.2.a", "level": 1045, "weight": 2, "hecke_orbit": 8, "hecke_orbit_code": 31525197425148949, "dim": 7, "is_polredabs": true, "trace_hash": 763839157598243686, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [11, -18, -16, 27, 8, -10, -1, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+\\beta _{5}q^{3}+(1+\\beta _{2})q^{4}-q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 4180, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 8.3443670112238, "hecke_ring_index": 1, "level_radical": 1045, "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": "0.005", "prec": 17}, "analytic_rank_proved": true, "char_values": [1045, 1, [837, 761, 496], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [5, 11, 19], "conrey_indexes": [1], "field_disc": 712078252, "field_disc_factorization": [[2, 2], [17, 1], [23, 1], [109, 1], [4177, 1]], "field_poly": [11, -18, -16, 27, 8, -10, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.151", "prec": 17}, {"__RealLiteral__": 0, "data": "6.147", "prec": 17}, {"__RealLiteral__": 0, "data": "2.320", "prec": 17}, {"__RealLiteral__": 0, "data": "109.890", "prec": 24}, {"__RealLiteral__": 0, "data": "96.351", "prec": 20}, {"__RealLiteral__": 0, "data": "3223.811", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 7, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, 1], [11, -1], [19, 1]], "trace_display": [1, 3, -7, -1], "traces": [0, 7, 1, 3, 7, -7, 8, -1, 3, 2, -1, 7, 13, 1, 12, -3, 3, 1, 7, -7, -7, 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