# Stored data for newform 8030.2.a.p, downloaded from the LMFDB on 19 April 2024.
{"label": "8030.2.a.p", "space_label": "8030.2.a", "level": 8030, "weight": 2, "hecke_orbit": 16, "hecke_orbit_code": 67553994444119902, "dim": 2, "is_polredabs": true, "nf_label": "2.2.13.1", "trace_hash": 2097643995764984211, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-3, 1, 1]], [7, [3, -5, 1]]], "qexp_display": "q+q^{2}-\\beta q^{3}+q^{4}-q^{5}-\\beta q^{6}+(2+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32120, "fricke_eigenval": -1, "atkin_lehner_string": "-+--", "analytic_conductor": 64.11987282308814, "hecke_ring_index": 1, "level_radical": 8030, "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": "0.014", "prec": 17}, "analytic_rank_proved": true, "char_values": [8030, 1, [1607, 2191, 881], [1, 1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5, 11, 73], "conrey_indexes": [1], "field_disc": 13, "field_disc_factorization": [[13, 1]], "field_poly": [-3, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.015", "prec": 17}, {"__RealLiteral__": 0, "data": "1.972", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10.005", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "71.263", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, 1], [11, -1], [73, -1]], "trace_display": [2, -1, -2, 5], "traces": [0, 2, 2, -1, 2, -2, -1, 5, 2, 1, -2, 2, -1, 9, 5, 1, 2, -11, 1, 2, -2, -9, 2, -5, -1, 2, 9, -4, 5, 3, 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