# Stored data for newform 255.2.bg.a, downloaded from the LMFDB on 19 May 2024.
{"Nk2": 1020, "analytic_conductor": 2.03618525154265, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 51, "char_degree": 8, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 33, "char_orbit_label": "bg", "char_order": 16, "char_parity": 1, "char_values": [255, 16, [86, 52, 241], [8, 16, 7]], "cm_discs": [], "conrey_index": 11, "dim": 192, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 2199056810239, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 17, 5, -1, 16, 0], [1, 1, 51, 9, 1, 16, 0]], "is_cm": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "255.2.bg.a", "level": 255, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": true, "level_primes": [3, 5, 17], "level_radical": 255, "minimal_twist": "255.2.bg.a", "prim_orbit_index": 9, "related_objects": [], "relative_dim": 24, "rm_discs": [], "sato_tate_group": "1.2.3.c16", "self_twist_discs": [], "self_twist_type": 0, "space_label": "255.2.bg", "trace_display": [0, 0, 0, 0], "traces": [192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, -48, 0, 0, 0, -96, 0, 0, -32, 0, 0, -112, 0, 0, -64, 0, 16, 32, 0, 0, -64, 0, 32, 48, 0, 160, 32, 0, 64, 0, 0, -64, 32, 0, -112, 64, 0, 64, 32, 0, 48, 32, 0, -192, 0, 0, -192, 0, 0, -208, 0, 0, 0, -64, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 96, 128, 0, 0, -96, 0, 128, 192, 0, 0, 64, 0, 128, 0, 0, 160, 64, 0, 0, 0, 0, 80, 64, 0, -64, 192, 0, 128, -32, 0, -16, 0, 0, 0, -288, 0, -96, -16, 0, -96, 0, 0, -64, -256, 0, -80, -192, 0, 0, 96, 0, -96, -96, 0, 64, 256, 0, 240, -96, 0, 144, -480, 0, 0, -64, 0, 0, 288, 0, 128, 128, 0, 112, -16, 0, 128, -32, 0, 0, 256, 0, 0, 0, 0, -32, 160, 0, 96, 0, 0, 96, -192, 0, 0, 64, 0, 192, -240, 0, 0, -160, 0, 160, 0, 0, 368, 128, 0, -32, 144, 0, 224, 64, 0, -32, 96, 0, 80, 0, 0, 256, 32, 0, -128, 64, 0, 160, -144, 0, -96, -64, 0, 112, 0, 0, 288, 128, 0, -16, -624, 0, -64, -64, 0, -32, -160, 0, -128, 0, 0, 0, 0, 0, -160, -160, 0, -240, -640, 0, 32, -192, 0, -272, 0, 0, -368, 0, 0, 0, -256, 0, -336, -160, 0, 64, -544, 0, -480, 0, 0, -416, -192, 0, 0, 0, 0, -384, 112, 0, 336, -128, 0, -320, 256, 0, -480, 64, 0, 128, 576, 0, 0, -64, 0, 112, -672, 0, -224, 224, 0, -384, 512, 0, 80, 320, 0, 32, 272, 0, 384, -192, 0, -64, 400, 0, -448, 384, 0, 160, 400, 0, 368, 128, 0, 80, 0, 0, 160, 0, 0, -64, 864, 0, 192, -96, 0, 288, 384, 0, -176, 128, 0, 0, 112, 0, -144, 96, 0, 0, -224, 0, 128, 96, 0, -304, 384, 0, -176, -32, 0, -112, 64, 0, 0, -256, 0, -16, 256, 0, -272, 96, 0, 64, -224, 0, 0, 0, 0, 0, -304, 0, -336, 192, 0, 128, 384, 0, 528, -96, 0, 320, -320, 0, 0, 288, 0, -224, 320, 0, 176, 192, 0, 384, -32, 0, 176, -192, 0, 0, -128, 0, -256, -192, 0, 496, 224, 0, 432, -128, 0, 432, -736, 0, 0, 224, 0, 112, 0, 0, 576, 224, 0, 400, -32, 0, 784, 32, 0, -64, 640, 0, -32, 320, 0, 0, 128, 0, 272, 0, 0, 368, 576, 0, -80, 192, 0, -368, -864, 0, -240, 64, 0, -176, 0, 0, 416, -192, 0, -288, -336, 0, -400, 0, 0, -224, 128, 0, -256, 0, 0, 192, 256, 0, -384, 192, 0, -320, -480, 0, -288, 64, 0, -336, 0, 0, 0, 288, 0, -256, 112, 0, -560, -64, 0, -288, -672, 0, -624, 0, 0, -208, -224, 0, -240, -320, 0, -512, -592, 0, 256, -512, 0, -176, 96, 0, -256, -896, 0, 16, 0, 0, -128, -448, 0, 288, -1088, 0, -320, 96, 0, -304, -256, 0, 288, -192, 0, 0, 128, 0, 64, -384, 0, -416, 0, 0, -1072, -320, 0, 128, 48, 0, 96, -416, 0, -144, -320, 0, -384, 96, 0, -304, -32, 0, 256, -128, 0, 464, 416, 0, -64, 0, 0, -192, 224, 0, -64, 384, 0, 128, -192, 0, 832, 800, 0, -224, 896, 0, 0, 64, 0, -240, 832, 0, 48, -288, 0, 480, 1200, 0, -560, 512, 0, 384, -400, 0, -352, 1024, 0, 0, -768, 0, 144, 480, 0, -144, 1440, 0, 640, 0, 0, 512, 0, 0, 0, -224, 0, 272, 704, 0, -64, 928, 0, 320, -240, 0, 432, 256, 0, 0, -1088, 0, 176, 640, 0, -48, 704, 0, 512, -256, 0, 448, -512, 0, 0, -32, 0, -144, -256, 0, -64, -96, 0, 256, -224, 0, 896, -576, 0, 0, 96, 0, 480, 0, 0, -128, 448, 0, 832, -128, 0, 480, -256, 0, -160, 0, 0, 160, -336, 0, 0, 32, 0, 160, 0, 0, 1008, -64, 0, -128, -448, 0, 384, -256, 0, -288, -608, 0, 576, 0, 0, 384, 320, 0, -384, -64, 0, 176, -1696, 0, 160, -64, 0, -96, 0, 0, 416, 224, 0, -192, 352, 0, 96, -352, 0, 192, -1024, 0, -400, 0, 0, 0, 96, 0, 0, -768, 0, -352, -704, 0, 16, -480, 0, -288, 16, 0, -448, -64, 0, 80, 32, 0, -1040, -832, 0, 368, -1056, 0, -496, 32, 0, -464, 64, 0, 256, 0, 0, 128, -704, 0, 480, -704, 0, -272, 240, 0, -1040, 288, 0, 384, 48, 0, 0, -96, 0, 480, -384, 0, -1104, 320, 0, -640, -800, 0, 400, 448, 0, 432, 416, 0, 288, -192, 0, -32, 320, 0, -672, 448, 0, 112, 288, 0, 752, 352, 0, 304, 0, 0, -416, 288, 0, -528, 544, 0, 496, 288, 0, 656, 48, 0, -368, 64, 0, 0, 96, 0, -592, 224, 0, 320, 48, 0, 112, 96, 0, -96, 736, 0, 272, 32, 0, -400, -128, 0, 160, 576, 0, -304, 976, 0, -192, 768, 0, 192, -320, 0, -288, 0, 0, 0, 800, 0, -336, 832, 0, 64, 1504, 0, 608, -384, 0, 0, -672, 0, 0, 192, 0, -400, 1632, 0, 192, 32, 0, 208, -192, 0, 672, -704, 0, 0, 1280, 0, -128, 64, 0, -192, 1344, 0, 928, -32, 0, 304, -608, 0, -192, 576, 0, -416, 0, 0, -192, -32, 0, 384, -448, 0, 1088, -1280, 0, -256, 928, 0, 144, 0, 0, 0, 96, 0, 304, -32, 0, 512, -768, 0, -400, 640, 0, -64, -32, 0, 64, 128, 0, 128, 0, 0, 864, -160, 0, -96, 512, 0, -592, -1312, 0, 32, -1312, 0, -432, 0, 0, 160, -768, 0, -528, -32, 0, -368, -1024, 0, -512, -864, 0, -144, 0], "weight": 2, "weight_parity": 1, "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}