# Stored data for newform 441.2.o.e, downloaded from the LMFDB on 25 April 2024.
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"is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [441, 6, [344, 199], [1, 3]], "inner_twist_count": 4, "level_primes": [3, 7], "conrey_indexes": [146, 293], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 24, "sato_tate_group": "1.2.3.c6", "trace_display": [0, 0, 0, 0], "traces": [48, 0, 0, 24, 0, 0, 0, 0, 16, 0, -24, 0, 0, 0, -40, -24, 0, -16, 0, 0, 0, 0, -48, 0, -24, 0, 0, 0, 0, -24, 0, 120, 0, 0, 0, -8, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 24, 0, 0, 0, 0, 0, 80, 0, 0, -96, 0, 0, 0, -48, 120, 0, 0, 0, 0, 0, 0, 56, 0, -168, 0, 0, 0, -88, -24, 0, -96, 0, 0, 0, -24, 24, 0, 0, 0, 0, 0, -144, -32, 0, 96, 0, 0, 0, -72, -48, 0, 64, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 96, 16, 0, 0, 0, 0, 0, 232, 48, 0, -152, 0, 0, 0, -96, 72, 0, -48, 0, 0, 0, 0, -160, 0, -24, 0, 0, 0, -80, 144, 0, -48, 0, 0, 0, 96, -144, 0, 24, 0, 0, 0, -240, -152, 0, 216, 0, 0, 0, -104, 0, 0, 176, 0, 0, 0, 48, 0, 0, 192, 0, 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-144, -408, 0, 216, 0, 0, 0, 384, 232, 0, 240, 0, 0, 0, -8, -432, 0, -736, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 672, 288, 0, 0, 0, 0], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": true, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, 0], [1, 1, 9, 4, -1, 6, 0], [1, 1, 63, 15, 1, 6, 0]], "char_orbit_index": 15, "prim_orbit_index": 15, "minimal_twist": "441.2.o.e", "char_is_minimal": true, "conrey_index": 146, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "qexp_display": null, "fricke_eigenval": null, "atkin_lehner_string": null, "hecke_ring_index": null, "projective_image": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "field_poly_root_of_unity": null, "artin_degree": null, "artin_image": null, "field_poly_is_real_cyclotomic": null, "artin_field_label": null, "projective_field_label": null, "hecke_ring_index_proved": null, "trace_zratio": null, "hecke_ring_generator_nbound": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "hecke_ring_index_factorization": null, "trace_moments": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}