# Stored data for newform 187.2.m.a, downloaded from the LMFDB on 19 April 2024. {"label": "187.2.m.a", "space_label": "187.2.m", "level": 187, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 824667275451, "dim": 128, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 16, "char_parity": 1, "char_degree": 8, "char_conductor": 187, "char_orbit_label": "m", "char_is_real": false, "Nk2": 748, "analytic_conductor": 1.493202517797943, "level_radical": 187, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [187, 16, [35, 122], [8, 3]], "inner_twist_count": 4, "level_primes": [11, 17], "conrey_indexes": [10, 54, 65, 109, 131, 142, 164, 175], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 16, "sato_tate_group": "1.2.3.c16", "trace_display": [0, -16, -16, 0], "traces": [128, 0, -16, -16, -16, 0, 0, 0, -16, 0, 0, -64, 0, 16, -16, 0, 0, 0, 0, -16, 0, 8, -32, 0, 0, 16, 32, 0, 0, 0, -80, 0, 0, -16, 0, 16, 16, 80, 0, 0, 0, -112, 0, -72, -16, 0, -16, 32, 48, 0, 0, 0, -16, 0, -8, -16, 0, -128, 48, 112, 0, 0, 0, 48, 0, 72, 0, 0, -192, 128, -16, 0, 0, 0, 48, 0, 8, -16, 0, 112, 0, -16, 0, 0, 0, 32, 0, -168, -16, 0, 144, -176, 48, 0, 0, 0, 48, 0, -112, 16, 0, 176, -80, 80, 0, 0, 0, 272, 0, -224, 112, 0, 48, -112, 0, 0, 0, 0, 0, 0, -8, 160, 0, -16, -64, 0, 0, 0, 0, -48, 0, 128, 48, 0, 0, 64, -48, 0, 0, 0, -80, 0, 144, 176, 0, -48, 128, -128, 0, 0, 0, 0, 0, 288, -16, 0, -112, 208, -240, 0, 0, 0, 16, 0, 200, -48, 0, -480, 0, -400, 0, 0, 0, 96, 0, 120, 112, 0, -16, -176, -304, 0, 0, 0, 0, 0, 32, -160, 0, 64, -96, -320, 0, 0, 0, -400, 0, 136, -304, 0, 240, -80, 0, 0, 0, 0, -320, 0, 120, -496, 0, 272, 32, 256, 0, 0, 0, -144, 0, 0, -336, 0, 112, 336, 432, 0, 0, 0, -112, 0, -32, -112, 0, -32, 144, 368, 0, 0, 0, -64, 0, -16, -16, 0, 32, 64, 240, 0, 0, 0, 192, 0, -120, 0, 0, -48, -32, 320, 0, 0, 0, 160, 0, -264, -16, 0, 208, 0, 48, 0, 0, 0, 480, 0, -208, 128, 0, 96, -384, 144, 0, 0, 0, 544, 0, -448, 304, 0, 272, -512, -128, 0, 0, 0, 416, 0, -208, 448, 0, 384, -304, -288, 0, 0, 0, 640, 0, -168, 96, 0, 16, 64, -112, 0, 0, 0, 272, 0, -8, 672, 0, 0, 64, -304, 0, 0, 0, 304, 0, 312, -64, 0, -96, 272, -256, 0, 0, 0, 0, 0, 176, 80, 0, -496, 128, -528, 0, 0, 0, -160, 0, 560, -144, 0, -240, 0, -544, 0, 0, 0, -144, 0, 144, -416, 0, -592, 208, -608, 0, 0, 0, -656, 0, 128, -288, 0, -144, -80, -80, 0, 0, 0, -512, 0, 136, -80, 0, -32, -48, 0, 0, 0, 0, -656, 0, -64, -320, 0, -144, 16, 400, 0, 0, 0, -864, 0, 0, -528, 0, -320, 272, 672, 0, 0, 0, -160, 0, 136, -112, 0, -176, 336, 880, 0, 0, 0, -256, 0, -224, -160, 0, 432, 240, 752, 0, 0, 0, -288, 0, -416, 0, 0, 96, 144, 432, 0, 0, 0, 192, 0, -112, 80, 0, 0, 32, 528, 0, 0, 0, 800, 0, -560, 176, 0, 320, 32, 160, 0, 0, 0, 272, 0, -168, 384, 0, 384, -112, 64, 0, 0, 0, 48, 0, -360, 304, 0, 304, -560, 208, 0, 0, 0, 256, 0, 8, 592, 0, 384, -80, -384, 0, 0, 0, 368, 0, 416, 432, 0, 0, 368, -432, 0, 0, 0, -16, 0, 192, 736, 0, -272, -64, -624, 0, 0, 0, 0, 0, 688, 496, 0, -496, -240, -608, 0, 0, 0, -224, 0, 416, -16, 0, -416, 0, -880, 0, 0, 0, -736, 0, 560, 144, 0, -112, -368, -688, 0, 0, 0, -80, 0, 256, -544, 0, -592, -32, -288, 0, 0, 0, -656, 0, -40, -304, 0, -256, 320, 0, 0, 0, 0, -304, 0, 48, -576, 0, -144, -16, 480, 0, 0, 0, -912, 0, 0, -64, 0, -16, 80, 576, 0, 0, 0, -192, 0, -264, -704, 0, 544, 208, 1216, 0, 0, 0, 80, 0, -480, -144, 0, 352, 176, 848, 0, 0, 0, 32, 0, -608, 0, 0, 960, -176, 1072, 0, 0, 0, 656, 0, -856, 464, 0, 192, -512, 352, 0, 0, 0, 656, 0, -424, 304, 0, 432, -416, 48, 0, 0, 0, 880, 0, -504, 464, 0, 208, -640, 304, 0, 0, 0, 1008, 0, -200, 880, 0, 464, -192, 160, 0, 0, 0, 832, 0, -264, 272, 0, 256, 288, -608, 0, 0, 0, 416, 0, -400, 384, 0, 0, -96, -384, 0, 0, 0, 816, 0, 480, 208, 0, -416, -176, -784, 0, 0, 0, 0, 0, -16, -672, 0, -464, 16, -1168, 0, 0, 0, -384, 0, 464, -288, 0, -352, 0, -336, 0, 0, 0, -544, 0, 400, -976, 0, -144, 208, -800, 0, 0, 0, -800, 0, 400, -848, 0, -352, 592, -496, 0, 0, 0, -512, 0, 320, -1104, 0, -208, -240, 0, 0, 0, 0, -1264, 0, 376, -208, 0, -640, 352, -32, 0, 0, 0, -480, 0, 0, -640, 0, 48, 448, 1008, 0, 0, 0, -896, 0, -8, -528, 0, -224, 48, 256, 0, 0, 0, -464, 0, 200, -496, 0, -176, 848, 1216, 0, 0, 0, 160, 0, -248, 0, 0, -288, 464, 800, 0, 0, 0, 224, 0, -56, 288, 0, 544, 448, 640, 0, 0, 0, 448, 0, -392, 400, 0, -544, -128, 272, 0, 0, 0, 480, 0, 16, 896, 0, -320, 128, 144, 0, 0, 0, 1040, 0, -32, 96, 0, -16, 400, -272, 0, 0, 0, 384, 0, 152, 1600, 0, 96, -160, -256, 0, 0, 0, 720, 0, 104, 784, 0, 0, -160, -1024, 0, 0, 0, -16, 0, 328, 304, 0, -320, 112, -1392, 0, 0, 0, 0, 0, 416, 400, 0, -16, -496, -608, 0, 0, 0, 0, 0, 648, 496, 0, 64, 0, -1616, 0, 0, 0, -128, 0, 704, -80, 0, -80, 368, -288, 0, 0, 0, -624, 0, 720, -640, 0, -320, -80, -464, 0, 0, 0, -1008, 0, 568, -464, 0, 0, 32, 0, 0, 0, 0, -304, 0, -216, -320, 0, -544, -112, 48, 0, 0, 0, -576, 0, 0, -512, 0, 832, -144, 64, 0, 0, 0, 240, 0, 32, -416, 0, 672, -544, 1552, 0, 0, 0, 256, 0, -904, -688, 0, 912, -656, 720, 0, 0, 0, 848, 0], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 11, 2, -1, 2, 0], [1, 1, 17, 5, -1, 16, 0], [1, 1, 187, 13, 1, 16, 0]], "char_orbit_index": 13, "prim_orbit_index": 13, "minimal_twist": "187.2.m.a", "char_is_minimal": true, "conrey_index": 10, "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}