# Stored data for newform 192.3.e.e, downloaded from the LMFDB on 17 January 2021.
{"level_primes": [2, 3], "is_polredabs": true, "sato_tate_group": "2.2.3.c2", "rm_discs": [], "conrey_indexes": [65], "cm_discs": [], "trace_hash": 1415472468841016323, "level_radical": 6, "hecke_ring_index_proved": true, "self_twist_type": 0, "related_objects": [], "prim_orbit_index": 2, "is_cm": false, "hecke_orbit": 5, "analytic_conductor": 5.2316210757177, "inner_twist_count": 4, "field_disc_factorization": [[2, 8], [3, 2]], "is_rm": false, "char_order": 2, "level_is_square": false, "weight_parity": -1, "label": "192.3.e.e", "field_poly_is_real_cyclotomic": false, "is_self_twist": false, "is_twist_minimal": false, "minimal_twist": "96.3.e.a", "field_poly_is_cyclotomic": false, "dim": 4, "trace_zratio": {"__RealLiteral__": 0, "data": "0.759", "prec": 17}, "traces": [0, 4, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 68, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 152, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 236, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 88, 0, 0, 0, 0, 0, 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0, 0, 0, 0, 0, 0, -2592, 0, 0, 0, 5608, 0, 0, 0, 0, 0, 0, 0, 864, 0, 0, 0, -720, 0, 0, 0, 0, 0, 0, 0, -3168, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, -2304, 0, 0, 0, 5616, 0, 0, 0, 0, 0, 0, 0, 1656, 0, 0, 0, -2336, 0, 0, 0, 0, 0, 0, 0, 1368, 0, 0, 0, 6424, 0, 0, 0], "hecke_ring_index_factorization": [[2, 3], [3, 1]], "nf_label": "4.0.2304.1", "field_poly": [1, 0, 4, 0, 1], "has_non_self_twist": 1, "char_values": [192, 2, [127, 133, 65], [2, 2, 1]], "Nk2": 1728, "field_poly_root_of_unity": 0, "analytic_rank": 0, "char_orbit_label": "e", "weight": 3, "trace_display": [0, 0, 0, 0], "analytic_rank_proved": true, "char_parity": -1, "level_is_squarefree": false, "hecke_ring_index": 24, "level_is_prime": false, "char_is_minimal": false, "qexp_display": "q+\\beta _{1}q^{3}-\\beta _{2}q^{5}+(-2\\beta _{1}+\\beta _{3})q^{7}+\\cdots", "self_twist_discs": [], "char_is_real": true, "field_disc": 2304, "level_is_prime_power": false, "relative_dim": 4, "hecke_cutters": [[5, [8, 0, 1]], [7, [-108, 0, 1]]], "space_label": "192.3.e", "level": 192, "is_self_dual": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 4, 2, -1, 2, 0], [1, 1, 12, 2, 1, 2, 0]], "char_degree": 1, "char_conductor": 3, "char_orbit_index": 5, "hecke_ring_generator_nbound": 5, "hecke_orbit_code": 18014673437720768, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.606", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "106.631", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3948.777", "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": 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