# Stored data for newform 63.4.c.a, downloaded from the LMFDB on 23 January 2021.
{"level_primes": [3, 7], "is_polredabs": true, "sato_tate_group": "3.2.1.d2", "rm_discs": [], "conrey_indexes": [62], "cm_discs": [-7], "trace_hash": 874715521016277638, "level_radical": 21, "hecke_ring_index_proved": true, "self_twist_type": 1, "related_objects": [], "prim_orbit_index": 3, "is_cm": true, "hecke_orbit": 1, "analytic_conductor": 3.717120330361659, "inner_twist_count": 4, "field_disc_factorization": [[2, 8], [7, 2]], "is_rm": false, "char_order": 2, "level_is_square": false, "weight_parity": 1, "label": "63.4.c.a", "field_poly_is_real_cyclotomic": false, "is_self_twist": true, "is_twist_minimal": true, "minimal_twist": "63.4.c.a", "field_poly_is_cyclotomic": false, "dim": 4, "trace_zratio": {"__RealLiteral__": 0, "data": "0.885", "prec": 17}, "traces": [0, 4, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 444, 0, 0, 0, 0, 0, -820, 0, 0, -500, 0, 0, 980, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -748, 0, 0, 1372, 0, 0, 0, 0, 0, 0, 0, 0, 260, 0, 0, 0, 0, 0, -3552, 0, 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"is_self_dual": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, -7], [1, 1, 3, 2, -1, 2, 0], [1, 1, 21, 3, 1, 2, 0]], "char_degree": 1, "char_conductor": 21, "char_orbit_index": 3, "hecke_ring_generator_nbound": 7, "hecke_orbit_code": 137506062399, "trace_moments": [{"__RealLiteral__": 0, "data": "0.016", "prec": 17}, {"__RealLiteral__": 0, "data": "3.376", "prec": 17}, {"__RealLiteral__": 0, "data": "0.538", "prec": 17}, {"__RealLiteral__": 0, "data": "155.676", "prec": 24}, {"__RealLiteral__": 0, "data": "30.702", "prec": 20}, {"__RealLiteral__": 0, "data": "8081.432", "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], [0, 0, 1, 0], 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