# Stored data for newform 6045.2.a.w, downloaded from the LMFDB on 16 April 2024.
{"label": "6045.2.a.w", "space_label": "6045.2.a", "level": 6045, "weight": 2, "hecke_orbit": 23, "hecke_orbit_code": 99079191835711389, "dim": 11, "is_polredabs": true, "trace_hash": 2237769777142999308, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [118, -70, -344, 199, 345, -192, -151, 81, 29, -15, -2, 1]], [7, [9, -54, -176, 66, 341, -43, -239, 36, 63, -14, -4, 1]], [11, [2840, -10628, -30386, 25089, 9272, -8182, -914, 1010, 28, -53, 0, 1]]], "qexp_display": "q+\\beta _{1}q^{2}-q^{3}+(1+\\beta _{2})q^{4}-q^{5}-\\beta _{1}q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24180, "fricke_eigenval": 1, "atkin_lehner_string": "++++", "analytic_conductor": 48.26956802186399, "hecke_ring_index": 1, "level_radical": 6045, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [6045, 1, [4031, 4837, 1861, 2731], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 19, "inner_twist_count": 1, "level_primes": [3, 5, 13, 31], "conrey_indexes": [1], "field_disc": 688030436213441348, "field_disc_factorization": [[2, 2], [59, 1], [2915383204294243, 1]], "field_poly": [118, -70, -344, 199, 345, -192, -151, 81, 29, -15, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8.805", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "221.009", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8241.892", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], 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