# Stored data for newform 350.10.a.o, downloaded from the LMFDB on 11 June 2024.
{"Nk2": 35000, "analytic_conductor": 180.2625426573556, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [5, 1], [7, -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": [350, 1, [127, 101], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 2581662983329333, "field_disc_factorization": [[2581662983329333, 1]], "field_poly": [15584709, -954173, -30664, -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": 0, "hecke_cutters": [[3, [100363104, -143388, -39210, -7, 1]]], "hecke_orbit": 15, "hecke_orbit_code": 63050394950959454, "hecke_ring_generator_nbound": 13, "hecke_ring_index": 600, "hecke_ring_index_factorization": [[2, 3], [3, 1], [5, 2]], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": true, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "350.10.a.o", "level": 350, "level_is_powerful": false, "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, 7], "level_radical": 70, "minimal_twist": "350.10.a.n", "prim_orbit_index": 1, "qexp_display": "q+2^{4}q^{2}+(2-\\beta _{1})q^{3}+2^{8}q^{4}+(2^{5}+\\cdots)q^{6}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "9.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "350.10.a", "trace_display": [64, 7, 0, 9604], "trace_hash": 1599895831304272002, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, 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