# Stored data for newform 114.2.e.b, downloaded from the LMFDB on 18 April 2024.
{"label": "114.2.e.b", "space_label": "114.2.e", "level": 114, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503874538831986, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 1300489487693078999, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [0, 1]]], "qexp_display": "q+(1-\\zeta_{6})q^{2}+(1-\\zeta_{6})q^{3}-\\zeta_{6}q^{4}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 19, "char_orbit_label": "e", "char_is_real": false, "Nk2": 456, "analytic_conductor": 0.9102945830425964, "hecke_ring_index": 1, "level_radical": 114, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 6, "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": "0.012", "prec": 17}, "analytic_rank_proved": true, "char_values": [114, 3, [77, 97], [3, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [2, 3, 19], "conrey_indexes": [7, 49], "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.857", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10.795", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "100.166", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c3", "trace_display": [1, 1, 0, 2], "traces": [0, 2, 1, 1, -1, 0, -1, 2, -2, -1, 0, -4, -2, 3, 1, 0, -1, -4, -2, 8, 0, 1, -2, -4, -1, 5, 6, -2, -1, 0, 0, -6, 1, -2, 4, 0, -1, -10, 7, 6, 0, -4, -1, 9, 2, 0, -8, -10, 1, -12, 10, 4, 3, 4, -1, 0, -2, 7, 0, 14, 0, -11, -3, -1, 2, 0, 2, -3, 8, -8, 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-42, -6, -7, 0, 4, 20, -44, -1, 0, 18, 2, 3, 2, 0, 9, 14, 4, -32, 0, -11, 25, 19, 14, 0, 72, 12, 9, 12, 0, -48, -18, 5, 8, 0, 2, 18, -10, -44, 0, 1, -12, -36, 0, -10, -32, -8, -9, -20, 0, 20, -52, -8, 10, 0, -120, 1, -32, 5, 0, 11, 6, -4, 110, 0, -12, 6, -84, 4, -25, -9, 3, 0, -12, 0, -48, 36, 10, 8, 0, -3, 25, -6, -12, 0, 32, -42, 32, 14, 0, 18, -10, 1, 66, 40, -24, 4, 30, -4, 0, 12, 0, -12, 6, 0, -44, -30, 10, -25, 0, -4, -51, 14, 4, 0, -6, 1, 19, 32, 15, 22, -84, -11, -28, 0, 28, 30, 6, -4, 0, 0, -20, 21, -72, 0, 17, -3, 15, 14, 0, -16, 49, 5, 10, 0], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 19, 3, 1, 3, 0]], "char_orbit_index": 5, "prim_orbit_index": 3, "minimal_twist": "114.2.e.b", "char_is_minimal": true, "conrey_index": 7, "id": null, "fricke_eigenval": null, "atkin_lehner_string": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0], [1, 0], [1, -1], [1, -1], [0, -1], [0, 0], [0, -1], [1, 0], [-1, 0], [0, -1], [0, 0], [-2, 0], [-1, 0], [0, 3], [1, -1], [0, 0], [-1, 1], [-4, 4], [-1, 0], [3, 2], [0, 0], [1, -1], [-2, 2], [0, -4], [-1, 1], [0, 5], [3, 0], [-1, 0], [0, -1], [0, 0], [0, 0], [-3, 0], [0, 1], [-2, 2], [0, 4], [0, 0], [-1, 1], [-5, 0], [5, -3], [3, 0], [0, 0], [-4, 4], [0, -1], [9, -9], [0, 2], [0, 0], [-4, 0], [0, -10], [0, 1], [-6, 0], [5, 0], [0, 4], [3, -3], [0, 4], [-1, 1], [0, 0], [-1, 0], [5, -3], [0, 0], [14, -14], [0, 0], [0, -11], [-3, 3], [0, -1], [1, 0], [0, 0], [0, 2], [0, -3], [4, 0], [-4, 0], [0, 0], [-14, 14], [0, 1], [11, -11], [-5, 5], [5, 0], [2, -5], [-2, 0], [3, -3], [-1, 1], [0, 0], [-1, 1], [0, 4], [8, 0], [-1, 0], [0, 0], [0, -9], [0, 0], [2, 0], [0, 14], [0, 0], [0, 3], [-4, 4], [-3, 3], [-10, 0], [0, 0], [1, 0], [-2, 2], [-6, 6], [0, 2], [5, -5]]}