# Stored data for newform 880.2.co.b, downloaded from the LMFDB on 03 May 2024. {"label": "880.2.co.b", "space_label": "880.2.co", "level": 880, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4508135146390384, "dim": 192, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [7027573476988279628824576, 0, 0, 0, 15881858589312269709619200000, 0, 0, 0, 96158693623052401131689532567552, 0, 0, 0, -2881528299595133946123412364193792, 0, 0, 0, 932579509052039293953766251379287296, 0, 0, 0, -97596586721054861501142933244910209792, 0, 0, 0, 4700106360216422387000541277343011237808, 0, 0, 0, -94142749696506576441588454280667273462728, 0, 0, 0, 1002959254366238908334151013557255834692321, 0, 0, 0, -5725543269091444091273746616991870115130718, 0, 0, 0, 23482547019965415193955560939307864841199707, 0, 0, 0, -83423473900370321676137508991188715832117424, 0, 0, 0, 266269385432691585002565686445842499919689429, 0, 0, 0, -510170394336462196841638419799932173939242692, 0, 0, 0, 600200569749472923097183367350670700353874687, 0, 0, 0, -470431615843307169126605386836868491148439580, 0, 0, 0, 515035663700322324151622583450034268049034981, 0, 0, 0, -266590334913678447169997916535809012394790182, 0, 0, 0, 95929555856268870118827759477688195851613422, 0, 0, 0, -27942854434631096019769405275603350186911336, 0, 0, 0, 8591082304688812638393262470909089074723708, 0, 0, 0, -1575399065975648742783629362620362000375686, 0, 0, 0, 252555157287654446083863937346033606698353, 0, 0, 0, -35565903867437486786741944834356238311704, 0, 0, 0, 4391434466334000628447212408395873993369, 0, 0, 0, -435608969642840133177336661719611547348, 0, 0, 0, 40507947695288181961203093607179633831, 0, 0, 0, -3243401274391609741273326373935250532, 0, 0, 0, 218316340518963034290721096543831596, 0, 0, 0, -12449954562989038481237678179922284, 0, 0, 0, 647253584960783680187588414890959, 0, 0, 0, -29226893592508062907370627944140, 0, 0, 0, 1160055084377682166834519336249, 0, 0, 0, -41228385711259465810759292558, 0, 0, 0, 1310029295280633357008579086, 0, 0, 0, -36647588795357880797968664, 0, 0, 0, 905200932587889445273666, 0, 0, 0, -19923880803235491133202, 0, 0, 0, 390840778186122151243, 0, 0, 0, -6762557378138084412, 0, 0, 0, 102928013895408593, 0, 0, 0, -1386936099248216, 0, 0, 0, 16580064443455, 0, 0, 0, -172843787296, 0, 0, 0, 1543949087, 0, 0, 0, -11772098, 0, 0, 0, 75898, 0, 0, 0, -368, 0, 0, 0, 1]]], "char_order": 20, "char_parity": 1, "char_degree": 8, "char_conductor": 220, "char_orbit_label": "co", "char_is_real": false, "Nk2": 3520, "analytic_conductor": 7.026835377872674, "level_radical": 110, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [880, 20, [111, 661, 177, 321], [10, 20, 5, 16]], "inner_twist_count": 8, "level_primes": [2, 5, 11], "conrey_indexes": [47, 207, 223, 367, 383, 543, 687, 863], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 24, "sato_tate_group": "1.2.3.c20", "trace_display": [0, 0, 8, 0], "traces": [192, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -12, 0, 0, 0, -16, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, -12, 0, 0, 0, 48, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 92, 0, 0, 0, 48, 0, 0, 0, 48, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -24, 0, 0, 0, 32, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -180, 0, 0, 0, 52, 0, 0, 0, -96, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, -200, 0, 0, 0, 4, 0, 0, 0, 16, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -408, 0, 0, 0, -92, 0, 0, 0, -200, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -232, 0, 0, 0, 0, 0, 0, 0, -228, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -24, 0, 0, 0, -184, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, -308, 0, 0, 0, -384, 0, 0, 0, 128, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, -128, 0, 0, 0, -256, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 280, 0, 0, 0, -124, 0, 0, 0, 56, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 372, 0, 0, 0, 16, 0, 0, 0, -144, 0, 0, 0, 656, 0, 0, 0, 0, 0, 0, 0, 428, 0, 0, 0, 224, 0, 0, 0, 56, 0, 0, 0, 352, 0, 0, 0, 0, 0, 0, 0, -132, 0, 0, 0, 112, 0, 0, 0, 16, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 156, 0, 0, 0, 184, 0, 0, 0, -128, 0, 0, 0, -204, 0, 0, 0, 0, 0, 0, 0, -368, 0, 0, 0, -88, 0, 0, 0, -448, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -456, 0, 0, 0, 304, 0, 0, 0, -400, 0, 0, 0, -516, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, 32, 0, 0, 0, 400, 0, 0, 0, -476, 0, 0, 0, 0, 0, 0, 0, 332, 0, 0, 0, 248, 0, 0, 0, 184, 0, 0, 0, -148, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 0, 108, 0, 0, 0, 1056, 0, 0, 0, 348, 0, 0, 0, 0, 0, 0, 0, 544, 0, 0, 0, 88, 0, 0, 0, 704, 0, 0, 0, 328, 0, 0, 0, 0, 0, 0, 0, 564, 0, 0, 0, 96, 0, 0, 0, 384, 0, 0, 0, 520, 0, 0, 0, 0, 0, 0, 0, 476, 0, 0, 0, 148, 0, 0, 0, 184, 0, 0, 0, 624, 0, 0, 0, 0, 0, 0, 0, 600, 0, 0, 0, 316, 0, 0, 0, 464, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -424, 0, 0, 0, 720, 0, 0, 0, -256, 0, 0, 0, 536, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 372, 0, 0, 0, -592, 0, 0, 0, 460, 0, 0, 0, 0, 0, 0, 0, -1216, 0, 0, 0, -328, 0, 0, 0, -152, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, -344, 0, 0, 0, -488, 0, 0, 0, -480, 0, 0, 0, -580, 0, 0, 0, 0, 0, 0, 0, -276, 0, 0, 0, -1000, 0, 0, 0, 64, 0, 0, 0, -492, 0, 0, 0, 0, 0, 0, 0, -232, 0, 0, 0, -1208, 0, 0, 0, -360, 0, 0, 0, -1304, 0, 0, 0, 0, 0, 0, 0, -388, 0, 0, 0, -572, 0, 0, 0, 224, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, -60, 0, 0, 0, 432, 0, 0, 0, -152, 0, 0, 0, 0, 0, 0, 0, 328, 0, 0, 0, -72, 0, 0, 0, -480, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 692, 0, 0, 0, 132, 0, 0, 0, 120, 0, 0, 0, 552, 0, 0, 0, 0, 0, 0, 0, 996, 0, 0, 0, 356, 0, 0, 0, -384, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -212, 0, 0, 0, 292, 0, 0, 0, -96, 0, 0, 0, -392, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 752, 0, 0, 0, -400, 0, 0, 0, -652, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -176, 0, 0, 0, -1256, 0, 0, 0, -852, 0, 0, 0, 0, 0, 0, 0, -928, 0, 0, 0, 332, 0, 0, 0, -616, 0, 0, 0, -1328, 0, 0, 0, 0, 0, 0, 0, -808, 0, 0, 0, 656, 0, 0, 0, 240, 0, 0, 0, -952, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, -760, 0, 0, 0, -160, 0, 0, 0, -664, 0, 0, 0, 0, 0, 0, 0, 308, 0, 0, 0, 56, 0, 0, 0, 608, 0, 0, 0, 608, 0, 0, 0, 0, 0, 0, 0, 132, 0, 0, 0, 84, 0, 0, 0, 800, 0, 0, 0, 396, 0, 0, 0, 0, 0, 0, 0, 604, 0, 0, 0, -4, 0, 0, 0, 1128, 0, 0, 0, 1184, 0, 0, 0, 0, 0, 0, 0, 768, 0, 0, 0, -264, 0, 0, 0, -120, 0, 0, 0, 760, 0, 0, 0, 0, 0, 0, 0, 428, 0, 0, 0, 872, 0, 0, 0, 536, 0, 0, 0, 636, 0, 0, 0, 0, 0, 0, 0, -568, 0, 0, 0, 748, 0, 0, 0, 400, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, -592, 0, 0, 0, 260, 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, 4, 2, -1, 2, 0], [1, 1, 5, 3, -1, 4, 0], [1, 1, 11, 3, 1, 5, 0], [1, 1, 20, 5, 1, 4, 0], [1, 1, 44, 8, -1, 10, 0], [1, 1, 55, 11, -1, 20, 0], [1, 1, 220, 22, 1, 20, 0]], "char_orbit_index": 67, "prim_orbit_index": 22, "minimal_twist": "880.2.co.b", "char_is_minimal": true, "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}