# Stored data for newform 810.4.a.q, downloaded from the LMFDB on 01 May 2024.
{"label": "810.4.a.q", "space_label": "810.4.a", "level": 810, "weight": 4, "hecke_orbit": 17, "hecke_orbit_code": 72057594105037610, "dim": 3, "is_polredabs": true, "nf_label": "3.3.3732.1", "trace_hash": 1422936701240655033, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[7, [-2453, -675, -3, 1]], [11, [-540, -216, 18, 1]]], "qexp_display": "q-2q^{2}+4q^{4}+5q^{5}+(1-2\\beta _{1}+\\beta _{2})q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 12960, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 47.7915471046499, "hecke_ring_index": 9, "level_radical": 30, "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": [810, 1, [731, 487], [1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 3, 5], "conrey_indexes": [1], "field_disc": 3732, "field_disc_factorization": [[2, 2], [3, 1], [311, 1]], "field_poly": [19, -13, -1, 1], "hecke_ring_index_factorization": [[3, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.857", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "20.631", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "229.392", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1], [5, -1]], "trace_display": [-6, 0, 15, 3], "traces": [0, 3, -6, 0, 12, 15, 0, 3, -24, 0, -30, -18, 0, 36, -6, 0, 48, -66, 0, -84, 60, 0, 36, -159, 0, 75, -72, 0, 12, -351, 0, 48, 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