# Stored data for newform 8008.2.a.z, downloaded from the LMFDB on 25 April 2024.
{"label": "8008.2.a.z", "space_label": "8008.2.a", "level": 8008, "weight": 2, "hecke_orbit": 26, "hecke_orbit_code": 112589990717824840, "dim": 15, "is_polredabs": true, "trace_hash": 93892107673514668, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-2560, -6016, 8392, 20034, -11137, -22246, 7119, 11690, -2330, -3236, 392, 477, -32, -35, 1, 1]], [5, [1520, -19316, -72164, 48979, 157237, -42529, -100657, 23304, 26402, -6166, -3259, 783, 187, -46, -4, 1]], [17, [63518720, 105552256, -159492176, -59002860, 85076816, 6861491, -17081235, 549286, 1489316, -117882, -61344, 6312, 1159, -135, -8, 1]]], "qexp_display": "q-\\beta _{1}q^{3}-\\beta _{11}q^{5}-q^{7}+(2+\\beta _{2})q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32032, "fricke_eigenval": -1, "atkin_lehner_string": "+++-", "analytic_conductor": 63.944201938641335, "hecke_ring_index": 64, "level_radical": 2002, "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": [8008, 1, [6007, 4005, 3433, 4369, 4929], [1, 1, 1, 1, 1]], "hecke_ring_generator_nbound": 17, "inner_twist_count": 1, "level_primes": [2, 7, 11, 13], "conrey_indexes": [1], "field_disc": 16725442261607964617994598483233, "field_disc_factorization": [[3, 3], [898308247, 1], [689586037501889581957, 1]], "field_poly": [2560, -6016, -8392, 20034, 11137, -22246, -7119, 11690, 2330, -3236, -392, 477, 32, -35, -1, 1], "hecke_ring_index_factorization": [[2, 6]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.209", "prec": 17}, {"__RealLiteral__": 0, "data": "12.032", "prec": 20}, {"__RealLiteral__": 0, "data": "7.499", "prec": 17}, 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