# Stored data for newform 1155.2.a.s, downloaded from the LMFDB on 23 April 2024.
{"label": "1155.2.a.s", "space_label": "1155.2.a", "level": 1155, "weight": 2, "hecke_orbit": 19, "hecke_orbit_code": 81064793326224515, "dim": 3, "is_polredabs": true, "nf_label": "3.3.316.1", "trace_hash": 329312742031334428, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [2, -4, -1, 1]], [13, [4, 14, -8, 1]], [17, [-34, 41, -12, 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": 4620, "fricke_eigenval": -1, "atkin_lehner_string": "+-++", "analytic_conductor": 9.222721433457885, "hecke_ring_index": 1, "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": "0.011", "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": 316, "field_disc_factorization": [[2, 2], [79, 1]], "field_poly": [2, -4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.941", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "23.899", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "286.875", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, -1], [7, 1], [11, 1]], "trace_display": [1, -3, 3, -3], "traces": [0, 3, 1, -3, 3, 3, -1, -3, 3, 3, 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