# Stored data for newform 1104.6.a.r, downloaded from the LMFDB on 19 April 2024.
{"label": "1104.6.a.r", "space_label": "1104.6.a", "level": 1104, "weight": 6, "hecke_orbit": 18, "hecke_orbit_code": 76561193765962832, "dim": 5, "is_polredabs": true, "trace_hash": 905772210187712850, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [-1296820224, 7019776, 941728, -9412, -94, 1]]], "qexp_display": "q-9q^{3}+(19-\\beta _{1}-\\beta _{2}-\\beta _{3}-\\beta _{4})q^{5}+\\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": 512, "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": 11, "inner_twist_count": 1, "level_primes": [2, 3, 23], "conrey_indexes": [1], "field_disc": 108417997225, "field_disc_factorization": [[5, 2], [109, 1], [941, 1], [42281, 1]], "field_poly": [2197, 1404, -257, -113, 0, 1], "hecke_ring_index_factorization": [[2, 9]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.670", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "60.781", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1227.688", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [23, -1]], "trace_display": [0, -45, 94, -272], "traces": [0, 5, 0, -45, 0, 94, 0, -272, 0, 405, 0, -1100, 0, -978, 0, -846, 0, 2522, 0, -2060, 0, 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