# Stored data for newform 126.2.h.a, downloaded from the LMFDB on 25 April 2024.
{"label": "126.2.h.a", "space_label": "126.2.h", "level": 126, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 481069891710, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 732160367769750206, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[5, [3, 1]]], "qexp_display": "q-\\zeta_{6}q^{2}+(-1-\\zeta_{6})q^{3}+(-1+\\zeta_{6})q^{4}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 63, "char_orbit_label": "h", "char_is_real": false, "Nk2": 504, "analytic_conductor": 1.0061150654681328, "hecke_ring_index": 1, "level_radical": 42, "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": "0.006", "prec": 17}, "analytic_rank_proved": true, "char_values": [126, 3, [29, 73], [1, 2]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [2, 3, 7], "conrey_indexes": [67, 79], "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": "1.941", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "11.369", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "103.442", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c3", "trace_display": [-1, -3, -6, -1], "traces": [0, 2, -1, -3, -1, -6, 0, -1, 2, 3, 3, -6, 3, -5, 5, 9, -1, -3, 3, -5, 3, 6, 3, -6, -3, 8, -5, 0, -4, 3, 0, 4, -1, 9, -3, 3, -6, 7, 10, 0, -6, 9, -9, -11, 3, -9, 3, 0, 0, -13, -4, 0, 10, 3, -9, 18, -1, 15, -6, -12, -9, -2, -8, -15, 2, 15, 0, 4, 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"char_orbit_index": 8, "prim_orbit_index": 7, "minimal_twist": "126.2.e.b", "char_is_minimal": true, "conrey_index": 67, "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], [0, -1], [-1, -1], [-1, 1], [-3, 0], [-1, 2], [-2, 3], [1, 0], [0, 3], [0, 3], [-3, 0], [2, -1], [0, -5], [3, -1], [3, 3], [0, -1], [0, -3], [3, -3], [-5, 5], [3, -3], [5, -4], [0, 3], [-3, 0], [-1, -1], [4, 0], [-5, 5], [3, -6], [-1, -2], [3, -3], [3, -6], [4, -4], [-1, 1], [3, 3], [-3, 3], [6, -9], [-3, 0], [7, -7], [5, 0], [-5, 10], [-3, 0], [0, 9], [-4, -1], [-11, 11], [3, -3], [0, -9], [0, 3], [0, 0], [-1, 2], [-5, -3], [0, -4], [-3, 6], [5, 0], [0, 3], [-6, 3], [9, 0], [-2, 3], [10, -5], [-3, 0], [-12, 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