# Stored data for newform 105.4.s.a, downloaded from the LMFDB on 22 April 2021.
{"level_primes": [3, 5, 7], "sato_tate_group": "3.2.3.c6", "rm_discs": [], "conrey_indexes": [26, 101], "cm_discs": [], "level_radical": 105, "self_twist_type": 0, "related_objects": [], "prim_orbit_index": 7, "is_cm": false, "hecke_orbit": 1, "analytic_conductor": 6.195200550602764, "inner_twist_count": 2, "is_rm": false, "char_order": 6, "level_is_square": false, "weight_parity": 1, "label": "105.4.s.a", "is_self_twist": false, "is_twist_minimal": true, "minimal_twist": "105.4.s.a", "dim": 32, "traces": [32, 0, -2, 64, -80, -28, 46, 0, 100, 0, 36, 246, 0, 18, 20, -376, -72, -442, -198, -640, -218, 204, 72, -50, -400, -312, 508, 350, 0, 40, 510, 810, 290, 0, -70, -612, -658, -192, -648, 0, -1404, 1892, 332, 2034, -490, -468, 408, 2810, 980, 0, -888, 3378, 1152, 2714, 0, -3354, -816, -1080, -48, -420, -1662, -2076, 874, -1952, 870, -1892, -1298, 1182, 2450, -450, 0, -2708, 378, 2898, -50, 0, -3528, -1896, -326, -1880, -3308, -2916, -1536, 1380, 720, 5202, -1090, 1668, -1590, 910, 2082, 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-14940, -289332, 128788, 0, 10704, -229270, 47474, 105162, 304958, 286908, -5900, -398588, 370780, 119880, -191580, -8370, 100032, 57546, 139386, 0, 14400, -86412, -203256, 92956, 0, -24040, 102386, -25164, 33048, 259092, -154620, -414852, -132288, -238092, 238770, -55030, -79150, -31200, 208484, -191856, 0, 82236, -402594, -2610, -336688, 0], "has_non_self_twist": 1, "char_values": [105, 6, [71, 22, 31], [3, 6, 5]], "Nk2": 1680, "analytic_rank": 0, "char_orbit_label": "s", "weight": 4, "trace_display": [0, -2, -80, 46], "analytic_rank_proved": true, "char_parity": 1, "level_is_squarefree": true, "level_is_prime": false, "char_is_minimal": true, "self_twist_discs": [], "char_is_real": false, "level_is_prime_power": false, "relative_dim": 16, "hecke_cutters": [[2, [16057958400, 18831605760, -602278336512, -714941199360, 22349212683840, -8414790503040, -31613771499072, 12846302748288, 32082272078368, -6143376998880, -16330597951524, 1983654307728, 5834154307284, -335728806336, -1274559616144, 38325600414, 200513506917, -2225812986, -22425704664, 51651252, 1902384306, 3155598, -120768972, -289980, 5885991, 9126, -211216, -162, 5598, 0, -96, 0, 1]]], "space_label": "105.4.s", "level": 105, "is_self_dual": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 21, 7, 1, 6, 0]], "char_degree": 2, "char_conductor": 21, "char_orbit_index": 19, "hecke_orbit_code": 1237017690217, "id": null, "is_polredabs": null, "trace_hash": null, "projective_field": null, "hecke_ring_index_proved": null, "embedded_related_objects": null, "field_disc_factorization": null, "field_poly_is_real_cyclotomic": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "trace_zratio": null, "hecke_ring_index_factorization": null, "artin_image": null, "nf_label": null, "field_poly": null, "atkin_lehner_string": null, "atkin_lehner_eigenvals": null, "field_poly_root_of_unity": null, "hecke_ring_index": null, "artin_field": null, "qexp_display": null, "field_disc": null, "hecke_ring_generator_nbound": null, "projective_image": null, "artin_field_label": null, "projective_field_label": null, "fricke_eigenval": null, "trace_moments": null, "artin_degree": null}