# Stored data for newform 1045.4.a.b, downloaded from the LMFDB on 19 April 2024.
{"label": "1045.4.a.b", "space_label": "1045.4.a", "level": 1045, "weight": 4, "hecke_orbit": 2, "hecke_orbit_code": 4503599694480405, "dim": 20, "is_polredabs": true, "trace_hash": 1934415550432371269, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-3840, -10653408, 103133888, -105488216, -313740532, 95862386, 290994701, 6991187, -105293959, -16253206, 18581116, 4319428, -1700735, -521840, 74163, 32533, -727, -1004, -44, 12, 1]]], "qexp_display": "q+(-1+\\beta _{1})q^{2}+(-1+\\beta _{5})q^{3}+(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": 16720, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 61.656995955998944, "hecke_ring_index": 56, "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": 0, "analytic_rank_proved": true, "char_values": [1045, 1, [837, 761, 496], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [5, 11, 19], "conrey_indexes": [1], "field_disc": 263463382831199425711184362800873429170462848570972302850864840521375578112, "field_disc_factorization": [[2, 11], [3, 1], [11, 4], [43682257, 1], [4512795084306469, 1], [14857564792093622644466645141268016931465441, 1]], "field_poly": [17756160, 74703872, -36068096, -240447168, 43097920, 280461480, -45064360, -143049638, 19879768, 37893109, -4539454, -5673747, 623613, 498499, -53768, -25467, 2826, 700, -82, -8, 1], "hecke_ring_index_factorization": [[2, 3], [7, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "15.404", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "683.341", 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