# Stored data for newform 360.2.bd.b, downloaded from the LMFDB on 24 April 2024. {"label": "360.2.bd.b", "space_label": "360.2.bd", "level": 360, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4505592525750632, "dim": 128, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [850305600, 0, 286442762400, 0, 80987787623520, 0, 4672176564306600, 0, 188257298040366904, 0, 3928331098605255398, 0, 58523257699661791731, 0, 419420931283551929805, 0, 2101747965918946112331, 0, 4111461308225707756740, 0, 5203115021764283238157, 0, 4602236952236663664641, 0, 3075666688187831684571, 0, 1591771206337828901162, 0, 655717864385423519644, 0, 217514746068943799034, 0, 59048177881743949596, 0, 13263025741218630216, 0, 2492197405194318657, 0, 394661554571210197, 0, 53004917663876843, 0, 6058808326507254, 0, 590858772542016, 0, 49153498170126, 0, 3483086879196, 0, 209286427008, 0, 10591430625, 0, 446057901, 0, 15371411, 0, 420748, 0, 8745, 0, 125, 0, 1]]], "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 360, "char_orbit_label": "bd", "char_is_real": false, "Nk2": 1440, "analytic_conductor": 2.8746144727660936, "level_radical": 30, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [360, 6, [271, 181, 281, 217], [3, 3, 5, 3]], "inner_twist_count": 8, "level_primes": [2, 3, 5], "conrey_indexes": [59, 299], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 64, "sato_tate_group": "1.2.3.c6", "trace_display": [0, 0, 0, 0], "traces": [128, 0, 0, -10, 0, 0, 0, 0, 4, 0, -48, 0, 0, -30, 0, 14, 0, 0, 24, -24, 0, 0, 0, -10, 14, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 8, 0, 0, 0, 12, -24, 0, 0, 0, 0, -36, 0, 0, -52, -42, -68, 0, 0, -62, 0, -54, 0, 0, 0, -24, 0, 0, 0, 68, -18, 44, 0, 0, 0, 0, 0, 0, 0, -60, 10, 24, 0, 0, 0, 0, 36, 0, 0, 94, 0, 0, 0, 0, 0, -74, 88, 0, 0, -26, 0, -22, 0, 0, -76, 44, 0, 0, 0, 72, 44, 16, 0, 0, 0, -66, 0, 0, 0, -40, -14, 0, 0, 0, 0, 28, -40, 0, 0, -24, 0, 120, 0, 0, 72, -24, -60, 0, 0, 0, 0, -72, 0, 0, 40, 126, 0, 0, 0, 90, -132, 12, 0, 0, 0, -62, 0, 0, 0, -176, 6, -64, 0, 0, 0, -18, 0, 0, 0, 138, 0, 54, 0, 0, -52, 0, -196, 0, 0, 110, 0, 60, 0, 0, 0, 114, 0, 0, 0, -18, 36, 24, 0, 0, 0, -140, 0, 0, 0, 204, 54, 8, 0, 0, 0, 126, -52, 0, 0, -96, 0, 0, 0, 0, 36, 108, 28, 0, 0, 18, 0, -96, 0, 0, -52, -36, 0, 0, 0, 0, -90, 48, 0, 0, 0, 150, 0, 0, 0, 376, 12, -84, 0, 0, 0, 58, -72, 0, 0, -12, 0, -74, 0, 0, -20, -54, 0, 0, 0, 330, 0, 86, 0, 0, -32, 0, 0, 0, 0, -224, 12, -60, 0, 0, 0, 206, 0, 0, 0, 60, 318, -112, 0, 0, 0, -120, 108, 0, 0, -288, 0, 28, 0, 0, -88, 228, 16, 0, 0, 176, 0, 0, 0, 0, 36, -224, 0, 0, 0, -96, 0, -192, 0, 0, 0, -12, 0, 0, 0, 0, 4, -24, 0, 0, 0, -168, 156, 0, 0, -206, 0, -132, 0, 0, -12, 200, 12, 0, 0, -84, 0, 98, 0, 0, 28, -42, 0, 0, 0, -384, 50, -56, 0, 0, 0, 0, 0, 0, 0, -248, -96, 54, 0, 0, 0, -192, -72, 0, 0, 100, 0, -234, 0, 0, -40, -12, 264, 0, 0, -456, 0, 142, 0, 0, 88, -246, 0, 0, 0, -144, 22, 0, 0, 0, 0, -226, 0, 0, 0, 132, 0, -12, 0, 0, 0, 14, -312, 0, 0, 0, 0, 180, 0, 0, -8, -234, 472, 0, 0, -466, 0, 108, 0, 0, -12, 42, 0, 0, 0, 16, -144, 84, 0, 0, 0, 132, 0, 0, 0, -396, -8, 126, 0, 0, 0, 0, -4, 0, 0, 260, 0, 162, 0, 0, 0, -352, 16, 0, 0, -12, 0, 52, 0, 0, 304, -140, 0, 0, 0, 414, 118, 36, 0, 0, 0, -240, 0, 0, 0, -400, -120, 0, 0, 0, 0, 122, -56, 0, 0, 206, 0, 218, 0, 0, 96, 76, 72, 0, 0, 0, 0, 24, 0, 0, -72, 288, 0, 0, 0, 586, 156, 0, 0, 0, 0, -98, 0, 0, 0, -48, -390, 152, 0, 0, 0, 30, 0, 0, 0, 600, 0, 0, 0, 0, 36, 0, 232, 0, 0, 436, 0, -294, 0, 0, 0, 404, 0, 0, 0, 12, 240, 88, 0, 0, 0, 120, 0, 0, 0, 420, -256, -8, 0, 0, 0, 408, -476, 0, 0, 118, 0, 0, 0, 0, -24, 134, 48, 0, 0, -26, 0, -314, 0, 0, 36, -138, 0, 0, 0, 0, -14, 336, 0, 0, 0, 240, 0, 0, 0, 660, 120, -210, 0, 0, 0, 102, 96, 0, 0, -96, 0, -80, 0, 0, -52, 36, 0, 0, 0, 594, 0, -68, 0, 0, 16, 0, 0, 0, 0, -412, 26, -276, 0, 0, 0, 486, 0, 0, 0, 60, -360, 12, 0, 0, 0, -36, -120, 0, 0, -834, 0, -156, 0, 0, -32, 276, -384, 0, 0, 364, 0, 0, 0, 0, -276, -392, 0, 0, 0, 78, 0, -232, 0, 0, 0, 168, 0, 0, 0, 0, -130, 140, 0, 0, 0, -570, 152, 0, 0, -720, 0, -498, 0, 0, 264, 232, 60, 0, 0, 96, 0, 480, 0, 0, -316, 54, 0, 0, 0, -540, 352, -144, 0, 0, 0, 0, 0, 0, 0, -652, -98, 528, 0, 0, 0, -508, 328, 0, 0, 6, 0, -230, 0, 0, -32, 216, -180, 0, 0, -504, 0, 42, 0, 0, -24, -456, 0, 0, 0, -92, -90, 0, 0, 0, 0, -450, 0, 0, 0, -60, 0, 404, 0, 0, 0, 82, 84, 0, 0, 0, 0, -128, 0, 0, 36, -522, -324, 0, 0, -872, 0, 300, 0, 0, -180, -40, 0, 0, 0, 224, -30, 268, 0, 0, 0, 12, 0, 0, 0, -480, 180, -108, 0, 0, 0, 0, 184, 0, 0, 448, 0, 336, 0, 0, 0, -546, -440, 0, 0, -152, 0, -96, 0, 0, -296, 240, 0, 0, 0, 624, -342, -212, 0, 0, 0, -456, 0, 0, 0, -252, 10, 0, 0, 0, 0, 404, 188, 0, 0, 4, 0, 244, 0, 0, 228, 30, -648, 0, 0, 0, 0, 108, 0, 0, -104, 468, 0, 0, 0, 942, 132, 492, 0, 0, 0, -184, 0, 0, 0, 32, 588, -140, 0, 0, 0, 54, 0, 0, 0, 708, 0, -114, 0, 0, 88, 0, -232, 0, 0, 366, 0, 18, 0, 0, 0, 514, 0, 0, 0, -36, -252, -20, 0, 0, 0, 88, 0, 0, 0, 780, 432, -186, 0, 0, 0, 600, -68, 0, 0, 480, 0, 0, 0, 0, 204, 348, -4, 0, 0, -216, 0, -304, 0, 0, 280, 126, 0, 0, 0, 0, -280, -552, 0, 0, 0, 552, 0, 0, 0, 948, -348, -312, 0, 0, 0, 240, -148, 0, 0, -156, 0, -200, 0, 0, -44, -102, 0, 0, 0, 804, 0, -258, 0, 0, -176, 0, 0, 0, 0, -854, 64, 12, 0, 0, 0, 542, 0, 0, 0, 24, 564, -146, 0, 0, 0, 204], "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, 5, 2, 1, 2, 0], [1, 1, 8, 4, -1, 2, 0], [1, 1, 9, 4, -1, 6, 0], [1, 1, 40, 5, -1, 2, 0], [1, 1, 45, 8, -1, 6, 0], [1, 1, 72, 12, 1, 6, 0], [1, 1, 360, 30, 1, 6, 0]], "char_orbit_index": 30, "prim_orbit_index": 30, "minimal_twist": "360.2.bd.b", "char_is_minimal": true, "conrey_index": 59, "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}