# Stored data for newform 1104.6.a.i, downloaded from the LMFDB on 25 April 2024.
{"label": "1104.6.a.i", "space_label": "1104.6.a", "level": 1104, "weight": 6, "hecke_orbit": 9, "hecke_orbit_code": 36028797119628368, "dim": 3, "is_polredabs": true, "nf_label": "3.3.5333.1", "trace_hash": 1130971394261300389, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [-195576, -3496, 56, 1]]], "qexp_display": "q-9q^{3}+(-21+4\\beta _{1}+3\\beta _{2})q^{5}+(33+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 39744, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 177.06373707353063, "hecke_ring_index": 8, "level_radical": 138, "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": [1104, 1, [415, 277, 737, 97], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 3, 23], "conrey_indexes": [1], "field_disc": 5333, "field_disc_factorization": [[5333, 1]], "field_poly": [8, -11, -1, 1], "hecke_ring_index_factorization": [[2, 3]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.088", "prec": 17}, {"__RealLiteral__": 0, "data": "2.907", "prec": 17}, {"__RealLiteral__": 0, "data": "0.413", "prec": 17}, {"__RealLiteral__": 0, "data": "22.385", "prec": 20}, {"__RealLiteral__": 0, "data": "2.040", "prec": 17}, {"__RealLiteral__": 0, "data": "249.956", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [23, 1]], "trace_display": [0, -27, -56, 114], "traces": [0, 3, 0, -27, 0, -56, 0, 114, 0, 243, 0, 376, 0, -858, 0, 504, 0, -2548, 0, 2846, 0, -1026, 0, -1587, 0, 753, 0, -2187, 0, -16370, 0, 14756, 0, 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