# Stored data for newform 4030.2.a.k, downloaded from the LMFDB on 23 April 2024.
{"label": "4030.2.a.k", "space_label": "4030.2.a", "level": 4030, "weight": 2, "hecke_orbit": 11, "hecke_orbit_code": 45035996307263422, "dim": 8, "is_polredabs": true, "trace_hash": 176553600259913164, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [32, 48, -173, 18, 98, -12, -18, 1, 1]]], "qexp_display": "q-q^{2}-\\beta _{1}q^{3}+q^{4}-q^{5}+\\beta _{1}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": 2, "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": 11, "inner_twist_count": 1, "level_primes": [2, 5, 13, 31], "conrey_indexes": [1], "field_disc": 26908007071640, "field_disc_factorization": [[2, 3], [5, 1], [503, 1], [1337376097, 1]], "field_poly": [32, -48, -173, -18, 98, 12, -18, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.055", "prec": 17}, {"__RealLiteral__": 0, "data": "7.222", "prec": 17}, {"__RealLiteral__": 0, "data": "0.437", "prec": 17}, {"__RealLiteral__": 0, "data": "156.465", "prec": 24}, {"__RealLiteral__": 0, "data": "40.942", "prec": 20}, {"__RealLiteral__": 0, "data": "5889.707", "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, -8], "traces": [0, 8, -8, -1, 8, -8, 1, -8, -8, 13, 8, 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