# Stored data for newform 1014.4.b.d, downloaded from the LMFDB on 16 May 2025.
{"Nk2": 16224, "analytic_conductor": 59.827936745820985, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 13, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 2, "char_orbit_label": "b", "char_order": 2, "char_parity": 1, "char_values": [1014, 2, [677, 847], [2, 1]], "cm_discs": [], "conrey_index": 337, "dim": 2, "field_disc": -4, "field_disc_factorization": [[-1, 1], [2, 2]], "field_poly": [1, 0, 1], "field_poly_is_cyclotomic": true, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 4, "has_non_self_twist": 1, "hecke_cutters": [[5, [36, 0, 1]], [7, [256, 0, 1]]], "hecke_orbit": 4, "hecke_orbit_code": 13510867668698102, "hecke_ring_generator_nbound": 2, "hecke_ring_index": 2, "hecke_ring_index_factorization": [[2, 1]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 2, 1, 2, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": false, "label": "1014.4.b.d", "level": 1014, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 3, 13], "level_radical": 78, "minimal_twist": "6.4.a.a", "nf_label": "2.0.4.1", "prim_orbit_index": 2, "qexp_display": "q-\\beta q^{2}-3 q^{3}-4 q^{4}+3\\beta q^{5}+3\\beta q^{6}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "3.2.3.c2", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1014.4.b", "trace_display": [0, -6, 0, 0], "trace_hash": 796182003457204504, "trace_moments": [{"__RealLiteral__": 0, "data": "0.006", "prec": 17}, {"__RealLiteral__": 0, "data": "1.921", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "14.952", "prec": 20}, {"__RealLiteral__": 0, 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