# Stored data for newform 8030.2.a.z, downloaded from the LMFDB on 16 April 2024.
{"label": "8030.2.a.z", "space_label": "8030.2.a", "level": 8030, "weight": 2, "hecke_orbit": 26, "hecke_orbit_code": 112589990717824862, "dim": 7, "is_polredabs": true, "trace_hash": 271316771324946788, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [3, -14, 9, 25, -17, -11, 2, 1]], [7, [4, -34, 45, 53, -27, -13, 3, 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": 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": "0.004", "prec": 17}, "analytic_rank_proved": true, "char_values": [8030, 1, [1607, 2191, 881], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 5, 11, 73], "conrey_indexes": [1], "field_disc": 9554217408, "field_disc_factorization": [[2, 6], [3, 3], [5529061, 1]], "field_poly": [-3, -14, -9, 25, 17, -11, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "6.183", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "103.323", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2581.237", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 7, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [5, -1], [11, 1], [73, -1]], "trace_display": [-7, -2, 7, -3], "traces": [0, 7, -7, -2, 7, 7, 2, -3, -7, 5, 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