# Stored data for newform 441.2.bb.f, downloaded from the LMFDB on 28 March 2024. {"label": "441.2.bb.f", "space_label": "441.2.bb", "level": 441, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22519853596279225, "dim": 72, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [594248265625, 0, 5018126443750, 0, 16967630697500, 0, -35350252414750, 0, -33424120413600, 0, 202322557442950, 0, -281156261177659, 0, -67743796120875, 0, 784370827914856, 0, -1306065579092596, 0, 1288546276169768, 0, -872558084536691, 0, 387796515392777, 0, -76532644739701, 0, -27724060883347, 0, 27559936596337, 0, -8528835553988, 0, -563583917275, 0, 996291679162, 0, 234902561447, 0, -296107331055, 0, 121657807853, 0, 30916744585, 0, -28187914277, 0, 5495639214, 0, 326604426, 0, -300919572, 0, 55526661, 0, -2951363, 0, -902466, 0, 222939, 0, -18148, 0, 670, 0, -177, 0, 79, 0, -13, 0, 1]]], "char_order": 21, "char_parity": 1, "char_degree": 12, "char_conductor": 49, "char_orbit_label": "bb", "char_is_real": false, "Nk2": 1764, "analytic_conductor": 3.521402729138465, "level_radical": 21, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [441, 21, [344, 199], [21, 16]], "inner_twist_count": 4, "level_primes": [3, 7], "conrey_indexes": [37, 46, 100, 109, 163, 172, 235, 289, 298, 352, 415, 424], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "1.2.3.c21", "trace_display": [0, 0, 0, -28], "traces": [72, 0, 0, 14, 0, 0, -28, 0, 0, 0, 0, 0, 42, 0, 0, -26, 0, 0, 28, 0, 0, 8, 0, 0, -24, 0, 0, -28, 0, 0, 28, 0, 0, 28, 0, 0, -106, 0, 0, 70, 0, 0, -2, 0, 0, 60, 0, 0, 28, 0, 0, 70, 0, 0, -42, 0, 0, 56, 0, 0, 112, 0, 0, 38, 0, 0, -36, 0, 0, -14, 0, 0, -28, 0, 0, 56, 0, 0, 62, 0, 0, -70, 0, 0, -100, 0, 0, -262, 0, 0, -154, 0, 0, -294, 0, 0, 56, 0, 0, -260, 0, 0, -140, 0, 0, -44, 0, 0, -224, 0, 0, 56, 0, 0, -112, 0, 0, -84, 0, 0, -4, 0, 0, 224, 0, 0, 26, 0, 0, 22, 0, 0, -70, 0, 0, 420, 0, 0, 112, 0, 0, -72, 0, 0, 308, 0, 0, -416, 0, 0, 66, 0, 0, 210, 0, 0, 28, 0, 0, -14, 0, 0, 96, 0, 0, 252, 0, 0, -58, 0, 0, -176, 0, 0, 42, 0, 0, 196, 0, 0, 98, 0, 0, 206, 0, 0, 168, 0, 0, -220, 0, 0, -36, 0, 0, 266, 0, 0, 182, 0, 0, 336, 0, 0, 38, 0, 0, -56, 0, 0, 100, 0, 0, 78, 0, 0, -84, 0, 0, 28, 0, 0, -14, 0, 0, -112, 0, 0, -98, 0, 0, -140, 0, 0, 16, 0, 0, -266, 0, 0, -266, 0, 0, -112, 0, 0, -200, 0, 0, 98, 0, 0, 194, 0, 0, -466, 0, 0, 126, 0, 0, -294, 0, 0, -98, 0, 0, 122, 0, 0, -364, 0, 0, -44, 0, 0, -116, 0, 0, 28, 0, 0, 112, 0, 0, -56, 0, 0, 240, 0, 0, 126, 0, 0, 144, 0, 0, 650, 0, 0, 224, 0, 0, 196, 0, 0, 14, 0, 0, 222, 0, 0, 112, 0, 0, 182, 0, 0, 98, 0, 0, 14, 0, 0, 238, 0, 0, 616, 0, 0, -76, 0, 0, 392, 0, 0, 134, 0, 0, 134, 0, 0, 14, 0, 0, -518, 0, 0, 84, 0, 0, -142, 0, 0, -154, 0, 0, 338, 0, 0, 104, 0, 0, -308, 0, 0, 14, 0, 0, -882, 0, 0, -164, 0, 0, -210, 0, 0, 204, 0, 0, -112, 0, 0, -504, 0, 0, -294, 0, 0, -112, 0, 0, -584, 0, 0, -630, 0, 0, 122, 0, 0, -74, 0, 0, -126, 0, 0, -238, 0, 0, -518, 0, 0, -406, 0, 0, -322, 0, 0, 156, 0, 0, -218, 0, 0, -350, 0, 0, 0, 0, 0, -224, 0, 0, 10, 0, 0, 42, 0, 0, -544, 0, 0, 174, 0, 0, 196, 0, 0, 182, 0, 0, 476, 0, 0, 294, 0, 0, 98, 0, 0, -54, 0, 0, 342, 0, 0, 70, 0, 0, 476, 0, 0, 196, 0, 0, 296, 0, 0, -56, 0, 0, 212, 0, 0, 0, 0, 0, 322, 0, 0, -70, 0, 0, -56, 0, 0, 38, 0, 0, -84, 0, 0, 264, 0, 0, 164, 0, 0, -154, 0, 0, 462, 0, 0, 28, 0, 0, -176, 0, 0, -182, 0, 0, -194, 0, 0, -132, 0, 0, -518, 0, 0, -350, 0, 0, -140, 0, 0, 30, 0, 0, -448, 0, 0, -144, 0, 0, 28, 0, 0, 378, 0, 0, -658, 0, 0, 280, 0, 0, 626, 0, 0, -420, 0, 0, 570, 0, 0, -34, 0, 0, 126, 0, 0, 238, 0, 0, 112, 0, 0, -68, 0, 0, 378, 0, 0, -16, 0, 0, 344, 0, 0, 378, 0, 0, 322, 0, 0, 364, 0, 0, 650, 0, 0, 126, 0, 0, 38, 0, 0, 580, 0, 0, 336, 0, 0, 112, 0, 0, -14, 0, 0, 482, 0, 0, 434, 0, 0, 124, 0, 0, 132, 0, 0, 350, 0, 0, -14, 0, 0, 112, 0, 0, -502, 0, 0, -98, 0, 0, -124, 0, 0, -270, 0, 0, -168, 0, 0, 0, 0, 0, -1134, 0, 0, -84, 0, 0, -84, 0, 0, -766, 0, 0, -26, 0, 0, -210, 0, 0, -812, 0, 0, -420, 0, 0, -328, 0, 0, -98, 0, 0, -208, 0, 0, -360, 0, 0, 210, 0, 0, -182, 0, 0, -798, 0, 0, 284, 0, 0, -1022, 0, 0, 276, 0, 0, 252, 0, 0, -224, 0, 0, 140, 0, 0, -140, 0, 0, 112, 0, 0, 266, 0, 0, 24, 0, 0, 158, 0, 0, 280, 0, 0, 490, 0, 0, 728, 0, 0, 422, 0, 0, 434, 0, 0, -354, 0, 0, 604, 0, 0, 644, 0, 0, 224, 0, 0, -42, 0, 0, 1066, 0, 0, 378, 0, 0, -248, 0, 0, 444, 0, 0, 868, 0, 0, 70, 0, 0, 490, 0, 0, 242, 0, 0, -798, 0, 0, 270, 0, 0, -120, 0, 0, -224, 0, 0, 238, 0, 0, -98, 0, 0, -358, 0, 0, -70, 0, 0, -524, 0, 0, -18, 0, 0, 70, 0, 0, 238, 0, 0, 448, 0, 0, -202, 0, 0, 336, 0, 0, -100, 0, 0, -584, 0, 0, -280, 0, 0, -504, 0, 0, 42, 0, 0, -260, 0, 0, -574, 0, 0, -286, 0, 0, -534, 0, 0, -504, 0, 0, 98, 0, 0, 196, 0, 0, -236, 0, 0, 266, 0, 0, 284, 0, 0, 522, 0, 0, -294, 0, 0, -420, 0, 0, 126, 0, 0, 358, 0, 0, 434, 0, 0, 42, 0, 0, 496, 0, 0, 238, 0, 0, 266, 0, 0, -70, 0, 0, -416, 0, 0, -112, 0, 0, -188, 0, 0, -504, 0, 0, 98, 0, 0, 448, 0, 0, -490, 0, 0, 338, 0, 0, -784, 0, 0, 122, 0, 0, -448, 0, 0, -616, 0, 0, -448, 0, 0, -672, 0, 0, -80, 0, 0, -126, 0, 0, -62, 0, 0, -266, 0, 0, -602, 0, 0, 322, 0, 0, 56, 0, 0, -1272, 0, 0, -658, 0, 0, 148, 0, 0, -232, 0, 0, -672, 0, 0, -672, 0, 0, -224], "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, 3, 2, -1, 2, 0], [1, 1, 49, 7, 1, 21, 0], [1, 1, 147, 14, -1, 42, 0]], "char_orbit_index": 28, "prim_orbit_index": 7, "minimal_twist": "441.2.bb.f", "char_is_minimal": true, "conrey_index": 37, "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}