# Stored data for newform 8.14.b.b, downloaded from the LMFDB on 23 April 2024.
{"label": "8.14.b.b", "space_label": "8.14.b", "level": 8, "weight": 14, "hecke_orbit": 2, "hecke_orbit_code": 4503668581728264, "dim": 10, "is_polredabs": true, "trace_hash": 261230905205246809, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [27083265579587767116678921216, 0, 3697485496537144650073344, 0, 14722593225477049728, 0, 16370347169952, 0, 6964588, 0, 1]]], "qexp_display": "q+(11+\\beta _{1})q^{2}+(3\\beta _{1}+\\beta _{3})q^{3}+(-472+\\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": 1568, "analytic_conductor": 8.578474316153017, "hecke_ring_index": 22799473113563136, "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": -181888173462229743628219208624621384877158778564043962071, "field_disc_factorization": [[-1, 1], [17, 2], [233, 2], [599, 1], [7643, 2], [950513563, 2], [19149692273, 2]], "field_poly": [31616997813655668, -802096030557765, 15101451375489, -180067834748, 2540283092, 96647426, -743866, 708, 752, -5, 1], "hecke_ring_index_factorization": [[2, 48], [3, 4]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8.733", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "424.033", "prec": 24}, {"__RealLiteral__": 0, "data": "101.926", "prec": 24}, {"__RealLiteral__": 0, "data": "29485.378", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": 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