# Stored data for newform 1155.2.a.w, downloaded from the LMFDB on 28 March 2024. {"label": "1155.2.a.w", "space_label": "1155.2.a", "level": 1155, "weight": 2, "hecke_orbit": 23, "hecke_orbit_code": 99079191835706499, "dim": 5, "is_polredabs": true, "nf_label": "5.5.352076.1", "trace_hash": 2203650587770103995, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-6, 16, 7, -9, -1, 1]], [13, [-784, -40, 164, -10, -8, 1]], [17, [-504, 380, 70, -63, 0, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+q^{3}+(2+\\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": 4620, "fricke_eigenval": -1, "atkin_lehner_string": "-+--", "analytic_conductor": 9.222721433457885, "hecke_ring_index": 8, "level_radical": 1155, "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": "0.017", "prec": 17}, "analytic_rank_proved": true, "char_values": [1155, 1, [386, 232, 661, 211], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 7, 11], "conrey_indexes": [1], "field_disc": 352076, "field_disc_factorization": [[2, 2], [88019, 1]], "field_poly": [-4, 8, 3, -8, -1, 1], "hecke_ring_index_factorization": [[2, 3]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.033", "prec": 17}, {"__RealLiteral__": 0, "data": "4.605", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "60.788", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1291.340", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "1.2.3.c1", 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