# Stored data for newform 800.4.a.r, downloaded from the LMFDB on 22 January 2025.
{"Nk2": 12800, "analytic_conductor": 47.20152800459249, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [5, -1]], "atkin_lehner_string": "+-", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [800, 1, [351, 101, 577], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 29, "field_disc_factorization": [[29, 1]], "field_poly": [-7, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": -1, "has_non_self_twist": 1, "hecke_cutters": [[3, [-4, 1]], [11, [-1856, 0, 1]], [13, [-464, 0, 1]]], "hecke_orbit": 18, "hecke_orbit_code": 76561193732408096, "hecke_ring_generator_nbound": 13, "hecke_ring_index": 8, "hecke_ring_index_factorization": [[2, 3]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 20, 4, -1, 2, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "800.4.a.r", "level": 800, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 5], "level_radical": 10, "minimal_twist": "160.4.c.b", "nf_label": "2.2.29.1", "prim_orbit_index": 1, "qexp_display": "q+4q^{3}-4q^{7}-11q^{9}-2\\beta q^{11}+\\beta q^{13}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "800.4.a", "trace_display": [0, 8, 0, -8], "trace_hash": 481175103363856277, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.898", "prec": 17}, {"__RealLiteral__": 0, 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