# Stored data for newform 4030.2.a.l, downloaded from the LMFDB on 25 April 2024.
{"label": "4030.2.a.l", "space_label": "4030.2.a", "level": 4030, "weight": 2, "hecke_orbit": 12, "hecke_orbit_code": 49539595934633918, "dim": 8, "is_polredabs": true, "trace_hash": 384689507040720477, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-4, 34, -69, -30, 68, 12, -16, -1, 1]]], "qexp_display": "q-q^{2}-\\beta _{6}q^{3}+q^{4}+q^{5}+\\beta _{6}q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16120, "fricke_eigenval": -1, "atkin_lehner_string": "+-++", "analytic_conductor": 32.179712014576, "hecke_ring_index": 1, "level_radical": 4030, "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": {"__RealLiteral__": 0, "data": "0.004", "prec": 17}, "analytic_rank_proved": true, "char_values": [4030, 1, [807, 1861, 2731], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 5, 13, 31], "conrey_indexes": [1], "field_disc": 912655855097, "field_disc_factorization": [[7, 1], [1237, 1], [105399683, 1]], "field_poly": [-11, -43, -32, 46, 54, -6, -14, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.126", "prec": 17}, {"__RealLiteral__": 0, "data": "6.793", "prec": 17}, {"__RealLiteral__": 0, "data": "2.484", "prec": 17}, {"__RealLiteral__": 0, "data": "128.795", "prec": 24}, {"__RealLiteral__": 0, "data": "46.183", "prec": 20}, {"__RealLiteral__": 0, "data": "4131.056", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [5, -1], [13, 1], [31, 1]], "trace_display": [-8, 1, 8, 11], "traces": [0, 8, -8, 1, 8, 8, -1, 11, -8, 9, -8, 0, 1, -8, -11, 1, 8, 7, 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