# Stored data for newform 864.2.bh.b, downloaded from the LMFDB on 19 April 2024.
{"label": "864.2.bh.b", "space_label": "864.2.bh", "level": 864, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4505867403658080, "dim": 192, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [23652685943700786815200570962559798509191095259136, 0, -470932083924641512613105328047725456046600191021056, 0, 6963041588873149562504419274938301987406449163942912, 0, -64739120797072726816031546904455143619478964057121664, 0, 391211969595092587406302211757522315771791287037907840, 0, -1340597788572319114487690336767417103533566081896750580, 0, 1462437131930742950843026711467997882566046023921083205, 0, 10081017810065092526502376872860151427796701767317632125, 0, -49702174225686955409789251998153539292255847061176040337, 0, 66657951447797638944525919299099316933787779931525091042, 0, 303573329622509316050951761271380453633177427051826529533, 0, -1232800186975162940629230425766343982065273048640213701569, 0, 794723140971345439595915125194402337945591975415161696497, 0, 6703275071292248898813099893735360602169312405682511160271, 0, -7815546839271243776128310448637865077447861845388229551518, 0, -12177439097594852861230771966303246600883041089209088417090, 0, 43375941842205260917624584383953348383454360917126097995723, 0, 50751551570158173017626622465368262323510046620885492065465, 0, 3131089502317302400657595026248459834291785075124667724547, 0, 65201284165500554334510180652323917882291181797928210858591, 0, 169353350788730903093324918626758209229684790834208358247689, 0, 263879781228661732958160800620689873149016752882251321748577, 0, 501285979037862323868123463618601155798546008205898024364522, 0, 741990992042857496707167335810595983445660422229196956480507, 0, 729848870986232305893498622300633944049858120633449132330342, 0, 550949498595001932603606752100798693064787686736391142750518, 0, 369254553849605834486093907536177618343557946513499090672872, 0, 212830276622508589120688655708914830515011069313172384376442, 0, 100741553340895669199483477894246677129508827728326148858678, 0, 44472429800441211564990271854647385635013027230212891129881, 0, 19208835137788294760392619755667919579757083694138051919997, 0, 6979434496667420369614958493245575985127227688753696188799, 0, 2441849844995192120358950256267196035681807789058988241732, 0, 940815935451433997811833984895093386020209797449973562648, 0, 282986436299118213442953532618511085754899567535833350280, 0, 84345774984009151130244146255057743211919407463332367642, 0, 31588850876326017845040663732483253791499870300711130607, 0, 7144265421147464028294614060254191125243686900112825376, 0, 2076851442700245827080736110178781881086217349046435680, 0, 701097734296614108505955487691178368095046209501180579, 0, 121662677069547308422031433863552923421205606271607166, 0, 36539374257692380891937958420326441735862459753124266, 0, 11263481826406121320858011324609177432502598265287313, 0, 1448372445682970774228397109960075008086067255291420, 0, 486008245575042362406897095346651022434466217302440, 0, 134313339810487202124597452425347203911594302563190, 0, 11708036096037925010874010786847571373810355803227, 0, 4872333979651256252101731308266117469507481530595, 0, 1236142211341739458428005681095755554510727363666, 0, 58985738056250817560125680913734446238303673929, 0, 38499186625820565791141638607433437348930491281, 0, 9025096422208382471555752438034540316985989312, 0, 93822857159548822787209965613097318561079252, 0, 236493989498994483691732051598362639712472231, 0, 53016361799712364708110003370082968335441375, 0, -1142696332903243676276001675498983793889668, 0, 1153580069297379529120353739308063828151452, 0, 250882111809587214879855479948191058718390, 0, -11560110906638190210118987984291206042660, 0, 4326808171630788585568697049470769580899, 0, 950957365611915628844022108061669287090, 0, -57756492248722529407079786159141387880, 0, 12577353109994862846633175497808604280, 0, 2822724922530363999391853633446862121, 0, -187841135003700591404264928653293617, 0, 26666737214554015482683067958127196, 0, 6476396445196460553288737904429051, 0, -411168601982667532019189701693437, 0, 42653302887626566687100474678952, 0, 10972434253713904175964452903430, 0, -644277564758316131270859201867, 0, 50720775554573022574616264604, 0, 14093435669816943057656700477, 0, -718181222795697078180389709, 0, 46149905596581355714838946, 0, 13342756525252106715505701, 0, -564299173206475842761298, 0, 31188904260025064094567, 0, 9580206359671101461475, 0, -304937442331818395607, 0, 16108580269285277814, 0, 5000962191290782119, 0, -108929126713396158, 0, 6918790810969530, 0, 1958888367959202, 0, -26089124418720, 0, 2237664268611, 0, 549087321960, 0, -3162747618, 0, 549861669, 0, 109930617, 0, -265887, 0, 71217, 0, 13251, 0, -9, 0, 6, 0, 1]]], "char_order": 18, "char_parity": 1, "char_degree": 6, "char_conductor": 216, "char_orbit_label": "bh", "char_is_real": false, "Nk2": 3456, "analytic_conductor": 6.899074734638625, "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": [864, 18, [703, 325, 353], [9, 9, 7]], "inner_twist_count": 4, "level_primes": [2, 3], "conrey_indexes": [47, 239, 335, 527, 623, 815], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 32, "sato_tate_group": "1.2.3.c18", "trace_display": [0, 12, 0, 0], "traces": [192, 0, 12, 0, 0, 0, 0, 0, -12, 0, 30, 0, 0, 0, 0, 0, -18, 0, 6, 0, 0, 0, 0, 0, -12, 0, -18, 0, 0, 0, 0, 0, -30, 0, 18, 0, 0, 0, 0, 0, 18, 0, 42, 0, 0, 0, 0, 0, -12, 0, 18, 0, 0, 0, 0, 0, -36, 0, 84, 0, 0, 0, 0, 0, -12, 0, -30, 0, 0, 0, 0, 0, -6, 0, 96, 0, 0, 0, 0, 0, -12, 0, 72, 0, 0, 0, 0, 0, 144, 0, 6, 0, 0, 0, 0, 0, -42, 0, 12, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, -12, 0, 12, 0, 0, 0, 0, 0, 30, 0, -24, 0, 0, 0, 0, 0, -168, 0, -84, 0, 0, 0, 0, 0, -90, 0, -120, 0, 0, 0, 0, 0, -6, 0, -192, 0, 0, 0, 0, 0, -96, 0, -108, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -12, 0, 36, 0, 0, 0, 0, 0, 60, 0, 180, 0, 0, 0, 0, 0, -114, 0, 234, 0, 0, 0, 0, 0, -78, 0, -180, 0, 0, 0, 0, 0, -36, 0, -252, 0, 0, 0, 0, 0, 90, 0, 120, 0, 0, 0, 0, 0, -24, 0, -408, 0, 0, 0, 0, 0, -72, 0, -390, 0, 0, 0, 0, 0, -18, 0, 6, 0, 0, 0, 0, 0, 66, 0, -108, 0, 0, 0, 0, 0, -12, 0, 18, 0, 0, 0, 0, 0, -90, 0, 54, 0, 0, 0, 0, 0, -72, 0, -102, 0, 0, 0, 0, 0, 54, 0, -138, 0, 0, 0, 0, 0, 36, 0, 12, 0, 0, 0, 0, 0, -102, 0, -114, 0, 0, 0, 0, 0, 72, 0, -144, 0, 0, 0, 0, 0, 126, 0, 6, 0, 0, 0, 0, 0, -24, 0, -54, 0, 0, 0, 0, 0, 378, 0, 0, 0, 0, 0, 0, 0, -252, 0, 12, 0, 0, 0, 0, 0, -24, 0, 96, 0, 0, 0, 0, 0, -108, 0, 222, 0, 0, 0, 0, 0, -72, 0, -18, 0, 0, 0, 0, 0, 114, 0, 174, 0, 0, 0, 0, 0, -90, 0, 312, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 6, 0, 168, 0, 0, 0, 0, 0, 234, 0, 270, 0, 0, 0, 0, 0, 150, 0, -96, 0, 0, 0, 0, 0, -114, 0, 582, 0, 0, 0, 0, 0, 276, 0, 420, 0, 0, 0, 0, 0, 120, 0, -168, 0, 0, 0, 0, 0, -24, 0, 498, 0, 0, 0, 0, 0, 84, 0, 144, 0, 0, 0, 0, 0, 414, 0, -96, 0, 0, 0, 0, 0, 30, 0, 426, 0, 0, 0, 0, 0, 204, 0, 378, 0, 0, 0, 0, 0, -312, 0, -162, 0, 0, 0, 0, 0, -90, 0, 180, 0, 0, 0, 0, 0, -192, 0, 126, 0, 0, 0, 0, 0, 78, 0, 96, 0, 0, 0, 0, 0, -6, 0, 264, 0, 0, 0, 0, 0, 102, 0, 312, 0, 0, 0, 0, 0, -18, 0, 120, 0, 0, 0, 0, 0, -12, 0, 444, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, 0, 0, 168, 0, 150, 0, 0, 0, 0, 0, -12, 0, -138, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 66, 0, 78, 0, 0, 0, 0, 0, -6, 0, -240, 0, 0, 0, 0, 0, 204, 0, -336, 0, 0, 0, 0, 0, 0, 0, 228, 0, 0, 0, 0, 0, 264, 0, -360, 0, 0, 0, 0, 0, 36, 0, -486, 0, 0, 0, 0, 0, 312, 0, -426, 0, 0, 0, 0, 0, 18, 0, -330, 0, 0, 0, 0, 0, 60, 0, -558, 0, 0, 0, 0, 0, -210, 0, -642, 0, 0, 0, 0, 0, -12, 0, -504, 0, 0, 0, 0, 0, 120, 0, -516, 0, 0, 0, 0, 0, -18, 0, 6, 0, 0, 0, 0, 0, -12, 0, -744, 0, 0, 0, 0, 0, -336, 0, -666, 0, 0, 0, 0, 0, -240, 0, -204, 0, 0, 0, 0, 0, -414, 0, -228, 0, 0, 0, 0, 0, -138, 0, -348, 0, 0, 0, 0, 0, -132, 0, -174, 0, 0, 0, 0, 0, -6, 0, -210, 0, 0, 0, 0, 0, 198, 0, -156, 0, 0, 0, 0, 0, -306, 0, 6, 0, 0, 0, 0, 0, -84, 0, -96, 0, 0, 0, 0, 0, -696, 0, 0, 0, 0, 0, 0, 0, 348, 0, -72, 0, 0, 0, 0, 0, 60, 0, 276, 0, 0, 0, 0, 0, 54, 0, 24, 0, 0, 0, 0, 0, -300, 0, 12, 0, 0, 0, 0, 0, -6, 0, 576, 0, 0, 0, 0, 0, -162, 0, 120, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 654, 0, 0, 0, 0, 0, 24, 0, 774, 0, 0, 0, 0, 0, -132, 0, -240, 0, 0, 0, 0, 0, 60, 0, 648, 0, 0, 0, 0, 0, 30, 0, 870, 0, 0, 0, 0, 0, -84, 0, -102, 0, 0, 0, 0, 0, -24, 0, 300, 0, 0, 0, 0, 0, 60, 0, 912, 0, 0, 0, 0, 0, -432, 0, 6, 0, 0, 0, 0, 0, 18, 0, 624, 0, 0, 0, 0, 0, -396, 0, 774, 0, 0, 0, 0, 0, 54, 0, -138, 0, 0, 0, 0, 0, 522, 0, 750, 0, 0, 0, 0, 0, 108, 0, 354, 0, 0, 0, 0, 0, -228, 0, -144, 0, 0, 0, 0, 0, 96, 0, 174, 0, 0, 0, 0, 0, -246, 0, 504, 0, 0, 0, 0, 0, -18, 0, 6, 0, 0, 0, 0, 0, -12, 0, -504, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -288, 0, 30, 0, 0, 0, 0, 0, 18, 0, -108, 0, 0, 0, 0, 0, -84, 0, -294, 0, 0, 0, 0, 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, 8, 4, -1, 2, 0], [1, 1, 27, 6, -1, 18, 0], [1, 1, 216, 22, 1, 18, 0]], "char_orbit_index": 34, "prim_orbit_index": 22, "minimal_twist": "216.2.v.b", "char_is_minimal": false, "conrey_index": 47, "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}