# Stored data for newform 1152.2.w.a, downloaded from the LMFDB on 24 April 2024.
{"label": "1152.2.w.a", "space_label": "1152.2.w", "level": 1152, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 1511862043776, "dim": 32, "analytic_rank": 0, "is_twist_minimal": false, "char_order": 8, "char_parity": 1, "char_degree": 4, "char_conductor": 96, "char_orbit_label": "w", "char_is_real": false, "Nk2": 4608, "analytic_conductor": 9.1987663128515, "level_radical": 6, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [1152, 8, [127, 901, 641], [4, 1, 4]], "inner_twist_count": 2, "level_primes": [2, 3], "conrey_indexes": [143, 431, 719, 1007], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, "sato_tate_group": "1.2.3.c8", "trace_display": [0, 0, 0, 0], "traces": [32, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 32, 0, 0, 0, 32, 0, 32, 0, 0, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 0, 0, 16, 0, 32, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 48, 0, 0, 0, 0, 0, -64, 0, 16, 0, 0, 0, 64, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, -16, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, -80, 0, 0, 0, 0, 0, 48, 0, -128, 0, 0, 0, 96, 0, -64, 0, 0, 0, 0, 0, -64, 0, 0, 0, 112, 0, 0, 0, 0, 0, -16, 0, -64, 0, 0, 0, -120, 0, -64, 0, 0, 0, 0, 0, -64, 0, 0, 0, -112, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 40, 0, -32, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 96, 0, 0, 0, 24, 0, -32, 0, 0, 0, 0, 0, 112, 0, 0, 0, 144, 0, -64, 0, 0, 0, -64, 0, 0, 0, 0, 0, -184, 0, -64, 0, 0, 0, 32, 0, 96, 0, 0, 0, -176, 0, 32, 0, 0, 0, 48, 0, 48, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, -96, 0, 0, 0, -72, 0, 32, 0, 0, 0, 0, 0, -112, 0, 0, 0, -128, 0, -64, 0, 0, 0, -80, 0, -160, 0, 0, 0, 216, 0, 96, 0, 0, 0, 32, 0, -160, 0, 0, 0, 144, 0, 0, 0, 0, 0, 80, 0, -96, 0, 0, 0, -248, 0, 96, 0, 0, 0, -64, 0, -80, 0, 0, 0, -128, 0, -64, 0, 0, 0, 32, 0, 0, 0, 0, 0, 56, 0, 64, 0, 0, 0, 32, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 104, 0, 128, 0, 0, 0, 0, 0, 208, 0, 0, 0, 224, 0, 0, 0, 0, 0, 80, 0, 256, 0, 0, 0, -216, 0, 96, 0, 0, 0, 0, 0, 176, 0, 0, 0, -192, 0, 0, 0, 0, 0, -128, 0, 176, 0, 0, 0, 224, 0, 0, 0, 0, 0, 192, 0, 112, 0, 0, 0, 240, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, -136, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, -160, 0, 0, 0, -88, 0, -32, 0, 0, 0, 0, 0, -128, 0, 0, 0, -112, 0, 0, 0, 0, 0, 96, 0, -128, 0, 0, 0, 216, 0, -32, 0, 0, 0, 0, 0, -112, 0, 0, 0, 368, 0, 0, 0, 0, 0, -144, 0, -80, 0, 0, 0, -192, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, -224, 0, 64, 0, 0, 0, -32, 0, 0, 0, 0, 0, 112, 0, -160, 0, 0, 0, -32, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 256, 0, 0, 0, 168, 0, -160, 0, 0, 0, 0, 0, 112, 0, 0, 0, 128, 0, 128, 0, 0, 0, -80, 0, 352, 0, 0, 0, -224, 0, -32, 0, 0, 0, 0, 0, 256, 0, 0, 0, -368, 0, 0, 0, 0, 0, 160, 0, 176, 0, 0, 0, 200, 0, -64, 0, 0, 0, 0, 0, 192, 0, 0, 0, 208, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, -224, 0, -176, 0, 0, 0, -128, 0, 128, 0, 0, 0, 0, 0, -240, 0, 0, 0, -288, 0, 128, 0, 0, 0, -224, 0, -192, 0, 0, 0, 296, 0, 128, 0, 0, 0, 0, 0, -208, 0, 0, 0, 384, 0, -128, 0, 0, 0, 192, 0, -288, 0, 0, 0, -304, 0, 192, 0, 0, 0, 192, 0, -80, 0, 0, 0, -208, 0, 128, 0, 0, 0, 64, 0, 0, 0, 0, 0, 160, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 80, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 240, 0, 0, 0, 0, 0, 128, 0, 96, 0, 0, 0, -288, 0, 128, 0, 0, 0, 0, 0, 128, 0, 0, 0, -208, 0, 0, 0, 0, 0, -208, 0, 80, 0, 0, 0, 400, 0, 96, 0, 0, 0, -256, 0, -80, 0, 0, 0, 144, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, -136, 0, -32, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 256, 0, -256, 0, 0, 0, -256, 0, -160, 0, 0, 0, 0, 0, -224, 0, 0, 0, -352, 0, 0, 0, 0, 0, 272, 0, -352, 0, 0, 0, 368, 0, -192, 0, 0, 0, 0, 0, -400, 0, 0, 0, 400, 0, -32, 0, 0, 0, -208, 0, -160, 0, 0, 0, -392, 0, -288, 0, 0, 0, 0, 0, -192, 0, 0, 0, -304, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 168, 0, -160, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 128, 0, 0, 0, 96, 0, -224, 0, 0, 0, 0, 0, 352, 0, 0, 0, 176, 0, -64, 0, 0, 0, -96, 0, 320, 0, 0, 0, -344, 0, -192, 0, 0, 0, -160, 0, 128, 0, 0, 0, -384, 0, -128, 0, 0, 0, 288, 0, 208, 0, 0, 0, 464, 0, -32, 0, 0, 0, 64, 0, 112, 0, 0, 0, 256, 0, -64, 0, 0, 0, 368, 0, 0, 0, 0, 0, -88, 0, 32, 0, 0, 0, 32, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, -272, 0, -208, 0, 0, 0, -184, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, -304, 0, -64, 0, 0, 0, -368, 0, 0, 0, 0, 0, 416, 0, 96, 0, 0, 0, -160, 0, -288, 0, 0, 0, 384, 0, 0, 0, 0, 0, 160, 0, -176, 0, 0, 0, -272, 0, 128, 0, 0, 0, -256, 0, 32, 0, 0, 0, -352, 0, -64, 0, 0, 0, 80, 0, 0, 0, 0, 0, 160, 0, 192, 0, 0, 0, -160, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 304, 0, 0, 0, 56, 0, 192, 0, 0, 0, 0, 0, 128, 0, 0, 0, 256, 0, 0, 0, 0, 0, 128, 0, 352, 0, 0, 0, -512, 0, 96, 0, 0, 0, 0, 0, 336, 0, 0, 0, -496, 0, 0, 0, 0, 0, -352, 0, 128, 0, 0, 0, 280, 0, 128, 0, 0, 0, 320, 0, 304, 0, 0, 0, 288, 0, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, -120, 0, -96, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 16, 0, 0, 0, -32, 0, -192, 0, 0, 0, 0, 0, -400, 0, 0, 0, -192, 0, 0, 0, 0, 0, 416, 0, -320, 0, 0, 0, 432, 0, -192, 0, 0, 0, 0, 0, -240, 0, 0, 0, 240, 0, 0, 0, 0, 0, -192, 0, -416, 0, 0, 0, -312, 0, -320, 0, 0, 0, 0, 0, -80, 0, 0, 0, -176, 0, 64, 0, 0, 0, -32, 0, 0, 0, 0, 0, 88, 0, -352, 0, 0, 0, 160, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 48, 0, 0, 0, 272, 0, -192, 0, 0, 0, 0, 0, 112, 0, 0, 0, 384, 0, 192, 0, 0, 0, -160, 0, 224, 0, 0, 0, -312, 0, -192, 0, 0, 0, 0, 0, 288, 0, 0, 0, -320, 0, 0, 0, 0, 0, 384, 0, 80, 0, 0, 0, 432, 0, -192, 0, 0, 0, -192, 0, -16, 0, 0, 0, 432, 0, 192, 0, 0, 0, 352, 0, 0, 0, 0, 0, -128, 0, 128, 0, 0, 0, -32, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, -320, 0, -368, 0, 0, 0, -56, 0, 160, 0, 0, 0, 0, 0, -192, 0, 0, 0, -368, 0, 192, 0, 0, 0, -352, 0, -448, 0, 0, 0, 152, 0, 256, 0, 0, 0, 0, 0, -240, 0, 0, 0, 384, 0, 128, 0, 0, 0, 224, 0, 0, 0, 0, 0, -400, 0, 384, 0, 0, 0, 320, 0, -336, 0, 0, 0, -320, 0, 192, 0, 0, 0, 176, 0, 0, 0, 0, 0, 32, 0, 224, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 192, 0, 0, 0, 192, 0, 416, 0, 0, 0, 0, 0, 368, 0, 0, 0, 288, 0, 64, 0, 0, 0, 144, 0, 480, 0, 0, 0, -304, 0, 192, 0, 0, 0, -32, 0, 176, 0, 0, 0, -640, 0, 0, 0, 0, 0, -368, 0, 480, 0, 0, 0, 344, 0, 96, 0, 0, 0, -320, 0, 240, 0, 0, 0, 288, 0, 0, 0, 0, 0, -400, 0, 0, 0, 0, 0, -128, 0, 128, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 464, 0, -176, 0, 0, 0, -80, 0, -64, 0, 0, 0, 0, 0, -64, 0, 0, 0, -272, 0, 0, 0, 0, 0, 448, 0, 0, 0, 0, 0, 336, 0, -96, 0, 0, 0, 0, 0, -96, 0, 0, 0, 432, 0, 128, 0, 0, 0, -320, 0, -16, 0, 0, 0, -464, 0, -96, 0, 0, 0, 0, 0, 176, 0, 0, 0, -176, 0, -192, 0, 0, 0, -240, 0, 0, 0, 0, 0, 288, 0, -320, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 336, 0, 0, 0, 40, 0, -224, 0, 0, 0, 0, 0, 432, 0, 0, 0, 272, 0, -256, 0, 0, 0, -256, 0, 384, 0, 0, 0, -368, 0, 0, 0, 0, 0, 256, 0, 304, 0, 0, 0, 32, 0, 128, 0, 0, 0, 288, 0, 160, 0, 0, 0, 216, 0, -128, 0, 0, 0, 256, 0, 128, 0, 0, 0, 176, 0, -192, 0, 0, 0, 448, 0, 0, 0, 0, 0, -184, 0, 32, 0, 0, 0, -160, 0, -304, 0, 0, 0, 0, 0, 0, 0, 0, 0, -448, 0, 0, 0, 0, 0, -312, 0, 256, 0, 0, 0, 0, 0, -176, 0, 0, 0, -176, 0, -256, 0, 0, 0, -336, 0, -480, 0, 0, 0, 464, 0, 288, 0, 0, 0, 256, 0, -96, 0, 0, 0, 400, 0, 0, 0, 0, 0, 400, 0, -320, 0, 0, 0, -240, 0, 448, 0, 0, 0, -320, 0, -192, 0, 0, 0, -304, 0, -256, 0, 0, 0, 48, 0, 0, 0, 0, 0, 240, 0, 480, 0, 0, 0, 256, 0, -368, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 224, 0, 0, 0, 232, 0, 320, 0, 0, 0, 0, 0, 48, 0, 0, 0, 64, 0, -128, 0, 0, 0, 176, 0, -256, 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": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 96, 15, 1, 8, 0]], "char_orbit_index": 23, "prim_orbit_index": 15, "minimal_twist": "288.2.w.a", "char_is_minimal": false, "conrey_index": 143, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "hecke_cutters": 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}