# Stored data for newform 80.10.a.k, downloaded from the LMFDB on 20 April 2024.
{"label": "80.10.a.k", "space_label": "80.10.a", "level": 80, "weight": 10, "hecke_orbit": 11, "hecke_orbit_code": 45035996441477200, "dim": 3, "is_polredabs": true, "nf_label": "3.3.7117.1", "trace_hash": 2000122445103464114, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-691200, -49536, 84, 1]]], "qexp_display": "q+(-28-\\beta _{1})q^{3}+5^{4}q^{5}+(1840-17\\beta _{1}+\\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": 8000, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 41.20286689310985, "hecke_ring_index": 69120, "level_radical": 10, "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": [80, 1, [31, 21, 17], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 5], "conrey_indexes": [1], "field_disc": 7117, "field_disc_factorization": [[11, 1], [647, 1]], "field_poly": [-22, -19, -1, 1], "hecke_ring_index_factorization": [[2, 9], [3, 3], [5, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.030", "prec": 17}, {"__RealLiteral__": 0, "data": "2.879", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "22.055", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "242.239", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "9.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [5, -1]], "trace_display": [0, -84, 1875, 5520], "traces": [0, 3, 0, -84, 0, 1875, 0, 5520, 0, 47079, 0, -5556, 0, -83094, 0, -52500, 0, 367062, 0, -1489116, 0, 1573728, 0, 499920, 0, 1171875, 0, 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