# Stored data for newform 114.2.h.d, downloaded from the LMFDB on 23 April 2024.
{"label": "114.2.h.d", "space_label": "114.2.h", "level": 114, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13511279952003186, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 270476374463017926, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [12, -6, 1]], [7, [2, 1]], [17, [48, -12, 1]]], "qexp_display": "q+(1-\\zeta_{6})q^{2}+(1-2\\zeta_{6})q^{3}-\\zeta_{6}q^{4}+\\cdots", "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 57, "char_orbit_label": "h", "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": "0.180", "prec": 17}, "analytic_rank_proved": true, "char_values": [114, 6, [77, 97], [3, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [2, 3, 19], "conrey_indexes": [65, 107], "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.005", "prec": 17}, {"__RealLiteral__": 0, "data": "1.971", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "11.832", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "98.392", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c6", "trace_display": [1, 0, 6, -4], "traces": [0, 2, 1, 0, -1, 6, -3, -4, -2, -6, 6, 0, -3, -6, -2, 6, -1, 12, -3, 1, 0, 0, -3, 0, 0, 7, 0, 0, 2, -6, -6, 0, 1, -6, 12, -12, 3, 0, 8, 6, -6, -3, 6, -8, -3, -18, 0, -6, 3, -6, 14, 12, 6, 6, 9, 6, 4, 15, -12, 3, -12, 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8, "prim_orbit_index": 6, "minimal_twist": "114.2.h.a", "char_is_minimal": true, "conrey_index": 65, "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, -2], [0, -1], [2, 2], [-1, -1], [-2, 0], [-1, 0], [-3, 0], [4, -2], [1, -2], [-2, 1], [-4, 2], [-2, 2], [6, -6], [-1, 1], [4, 4], [-3, 3], [-2, 5], [2, -4], [-2, 4], [-1, -1], [0, 0], [-1, 2], [0, 7], [-2, 4], [-3, 6], [0, 2], [0, -6], [0, -6], [4, -8], [0, 1], [-3, 0], [8, -4], [-4, -4], [0, 3], [4, -8], [3, 2], [0, 6], [-2, -2], [-3, 3], [2, 2], [-8, 8], [-2, 1], [-6, -6], [0, 0], [-4, 2], [1, 1], [-3, 0], [7, 0], [12, -12], [2, 2], [0, 6], [3, 3], [6, -6], [2, 0], [8, -1], [-6, 0], [3, -3], [-6, 0], [0, -10], [-4, 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