# Stored data for newform 8008.2.a.s, downloaded from the LMFDB on 19 April 2024.
{"label": "8008.2.a.s", "space_label": "8008.2.a", "level": 8008, "weight": 2, "hecke_orbit": 19, "hecke_orbit_code": 81064793326231368, "dim": 10, "is_polredabs": true, "trace_hash": 2167628532407439759, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [8, 82, 99, -246, -127, 173, 66, -43, -15, 3, 1]], [5, [18, 209, -327, -617, 168, 431, 47, -82, -18, 4, 1]], [17, [6316, 36556, -15985, -19686, 4817, 4001, -380, -349, -5, 11, 1]]], "qexp_display": "q-\\beta _{1}q^{3}+\\beta _{9}q^{5}+q^{7}+(1+\\beta _{5}-\\beta _{6}+\\cdots)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": 1, "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": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [8008, 1, [6007, 4005, 3433, 4369, 4929], [1, 1, 1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 7, 11, 13], "conrey_indexes": [1], "field_disc": 206417380450036304, "field_disc_factorization": [[2, 4], [38342203, 1], [336472223, 1]], "field_poly": [8, -82, 99, 246, -127, -173, 66, 43, -15, -3, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "7.991", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "181.040", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "6231.696", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], 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