# Stored data for newform 8.16.b.a, downloaded from the LMFDB on 18 April 2024.
{"label": "8.16.b.a", "space_label": "8.16.b", "level": 8, "weight": 16, "hecke_orbit": 1, "hecke_orbit_code": 68987912200, "dim": 14, "is_polredabs": true, "trace_hash": 1077111728539750712, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "qexp_display": "q+(-6-\\beta _{1})q^{2}+\\beta _{2}q^{3}+(3672+5\\beta _{1}+\\cdots)q^{4}+\\cdots", "char_order": 2, "char_parity": 1, "char_degree": 1, "char_conductor": 8, "char_orbit_label": "b", "char_is_real": true, "Nk2": 2048, "analytic_conductor": 11.415480407993632, "hecke_ring_index": 1084078019227649467257255698104320000, "level_radical": 2, "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": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.506", "prec": 17}, "analytic_rank_proved": true, "char_values": [8, 2, [7, 5], [2, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 2, "level_primes": [2], "conrey_indexes": [5], "field_disc": -2332855790157925610200721816473898566524405817860787588038685079614233694734901643101387369153442687, "field_disc_factorization": [[-1, 1], [7, 1], [11, 2], [13, 2], [23, 2], [31, 2], [41, 1], [4995169, 2], [74570131, 2], [75069295222420248525406106051, 2]], "field_poly": [2433324183085485312818967200, -14754933471339430268597775, -184645940533558790286339, 1792289418481984019550, 15458794901317392766, -202833046637545317, -1350212102075609, 52039630950804, -361745089708, -1368564777, 41390651, 136110, -6354, -3, 1], "hecke_ring_index_factorization": [[2, 91], [3, 6], [5, 4], [31, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "11.401", "prec": 20}, {"__RealLiteral__": 0, "data": "0.961", "prec": 17}, {"__RealLiteral__": 0, "data": "696.310", "prec": 24}, {"__RealLiteral__": 0, "data": "245.126", "prec": 24}, 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