# Stored data for newform 4030.2.a.g, downloaded from the LMFDB on 20 April 2024.
{"label": "4030.2.a.g", "space_label": "4030.2.a", "level": 4030, "weight": 2, "hecke_orbit": 7, "hecke_orbit_code": 27021597797781438, "dim": 6, "is_polredabs": true, "nf_label": "6.6.10369693.1", "trace_hash": 72096342182589892, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [5, 14, 2, -14, -4, 3, 1]]], "qexp_display": "q+q^{2}+(-1+\\beta _{1})q^{3}+q^{4}+q^{5}+(-1+\\cdots)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": "0.003", "prec": 17}, "analytic_rank_proved": true, "char_values": [4030, 1, [807, 1861, 2731], [1, 1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5, 13, 31], "conrey_indexes": [1], "field_disc": 10369693, "field_disc_factorization": [[157, 1], [257, 2]], "field_poly": [1, -7, 5, 12, -4, -3, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.475", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "82.031", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1929.383", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, -1], [13, 1], [31, 1]], "trace_display": [6, -3, 6, -10], "traces": [0, 6, 6, -3, 6, 6, -3, -10, 6, -1, 6, -10, -3, -6, -10, -3, 6, -4, 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