# Stored data for newform 50.8.a.h, downloaded from the LMFDB on 25 August 2026.
{"Nk2": 3200, "analytic_conductor": 15.619251274206087, "analytic_rank": 0, "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": [50, 1, [27], [1]], "cm_discs": [], "conrey_index": 1, "dim": 1, "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 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, [-43, 1]]], "hecke_orbit": 8, "hecke_orbit_code": 31525197525811250, "hecke_ring_generator_nbound": 1, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "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": true, "label": "50.8.a.h", "level": 50, "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], "level_radical": 10, "minimal_twist": "50.8.a.a", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q+8q^{2}+43q^{3}+2^{6}q^{4}+344q^{6}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "7.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "50.8.a", "trace_display": [8, 43, 0, 974], "trace_hash": 2257660319068949643, "trace_moments": [{"__RealLiteral__": 0, "data": "0.015", "prec": 7}, {"__RealLiteral__": 0, "data": "1.006", "prec": 14}, {"__RealLiteral__": 0, "data": "0.022", "prec": 7}, {"__RealLiteral__": 0, "data": "2.006", "prec": 14}, {"__RealLiteral__": 0, "data": "0.064", 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