# Stored data for newform 363.2.e.d, downloaded from the LMFDB on 23 March 2023.
{"level_primes": [3, 11], "is_polredabs": true, "sato_tate_group": "1.2.3.c5", "rm_discs": [], "conrey_indexes": [124, 130, 148, 202], "cm_discs": [], "trace_hash": 1613272926893030579, "level_radical": 33, "hecke_ring_index_proved": true, "self_twist_type": 0, "related_objects": [], "prim_orbit_index": 3, "is_cm": false, "hecke_orbit": 4, "analytic_conductor": 2.898569593372478, "inner_twist_count": 4, "field_disc_factorization": [[5, 3]], "is_rm": false, "char_order": 5, "level_is_square": false, "weight_parity": 1, "label": "363.2.e.d", "field_poly_is_real_cyclotomic": false, "is_self_twist": false, "is_twist_minimal": true, "minimal_twist": "363.2.a.a", "field_poly_is_cyclotomic": true, "dim": 4, "trace_zratio": {"__RealLiteral__": 0, "data": "0.015", "prec": 17}, "traces": [0, 4, -2, 1, -2, -4, 2, 1, 0, -1, 32, 0, -8, -2, 2, 4, 4, 4, -2, -3, -8, 4, 0, 8, 0, -11, -4, 1, 2, 6, 8, 5, -32, 0, -32, 4, -2, -3, -6, 2, 0, -2, -2, -48, 0, 16, -4, -2, -4, 6, -22, -4, -4, -6, -8, 0, 0, 3, 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"field_poly_root_of_unity": 10, "analytic_rank": 0, "char_orbit_label": "e", "weight": 2, "trace_display": [-2, 1, -4, 1], "analytic_rank_proved": true, "char_parity": 1, "level_is_squarefree": false, "hecke_ring_index": 1, "level_is_prime": false, "char_is_minimal": false, "qexp_display": "q+(-2+2\\zeta_{10}-2\\zeta_{10}^{2}+2\\zeta_{10}^{3})q^{2}+\\cdots", "self_twist_discs": [], "char_is_real": false, "field_disc": 125, "level_is_prime_power": false, "relative_dim": 1, "hecke_cutters": [[2, [16, 8, 4, 2, 1]]], "space_label": "363.2.e", "level": 363, "is_self_dual": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 3, 11, 3, 1, 5, 0]], "char_degree": 4, "char_conductor": 11, "char_orbit_index": 5, "hecke_ring_generator_nbound": 3, "hecke_orbit_code": 13511073793573227, "trace_moments": [{"__RealLiteral__": 0, "data": "0.041", "prec": 17}, {"__RealLiteral__": 0, "data": "3.913", "prec": 17}, {"__RealLiteral__": 0, "data": "0.034", "prec": 17}, {"__RealLiteral__": 0, "data": "98.952", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3841.081", "prec": 27}], "id": null, "projective_field": null, "embedded_related_objects": null, "projective_image_type": null, "artin_image": null, "atkin_lehner_string": null, "atkin_lehner_eigenvals": null, "artin_field": null, "projective_image": null, "artin_field_label": null, "projective_field_label": null, "fricke_eigenval": null, "artin_degree": null, "qexp": [[0, 0, 0, 0], [1, 0, 0, 0], [-2, 2, -2, 2], [0, 0, -1, 0], [0, 0, 0, -2], [0, -4, 0, 0], [0, 2, 0, 0], [0, 0, 0, 1], [0, 0, 0, 0], [-1, 1, -1, 1], [8, 0, 0, 0], [0, 0, 0, 0], [-2, 0, 0, 0], [-2, 2, -2, 2], [0, 0, -2, 0], [0, 0, 0, 4], [0, 4, 0, 0], [0, 4, 0, 0], [0, 0, 0, -2], [0, 0, 3, 0], [-8, 8, -8, 8], [1, 0, 0, 0], [0, 0, 0, 0], [2, 0, 0, 0], [0, 0, 0, 0], [0, 0, 11, 0], [0, 0, 0, -4], [0, 1, 0, 0], [0, 2, 0, 0], [0, 0, 0, 6], [0, 0, -8, 0], [5, -5, 5, -5], [-8, 0, 0, 0], [0, 0, 0, 0], [-8, 0, 0, 0], [4, -4, 4, -4], [0, 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