# Stored data for newform 570.2.v.c, downloaded from the LMFDB on 19 April 2024.
{"label": "570.2.v.c", "space_label": "570.2.v", "level": 570, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9008642397307450, "dim": 144, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [13546632100, -133819635280, 660964830752, -1781309704784, 2805377912844, -2053367195152, 520929772032, -326923301896, 2099840211904, -1200923215680, 139648680896, 314642726528, 750467903592, -171455396224, 12860407112, 90883221164, 131462549549, 9405644436, 287501632, 1267971872, 4519535961, 282540504, 2222064, -7567424, 65305206, 1450976, 7072, -94960, 406394, 856, 8, -196, 1089, -4, 0, 0, 1]], [17, [321665246386739085708369093699162180169075623676870656, 0, 0, 0, -22916735692328728296116143616199107258123951229400466325504, 0, 0, 0, 1568358671964189690839183149425023842139152117016751717136465920, 0, 0, 0, -4582446954364867437267042763188055323033921496758451152676913676288, 0, 0, 0, 12857207373385136691448579115892143339197509825788154111437383200145408, 0, 0, 0, -14486938291324274617594576589609430909549666059223227432745652140900352, 0, 0, 0, 12408305415077668422401162567199305401987605438259460726663425134952448, 0, 0, 0, -3579617602432128868192049679761043391504942851681641848752209070653440, 0, 0, 0, 701540892667167260784125734888310068656545971274431232220665244286976, 0, 0, 0, -77003037653106118738253389094417433884496503979432378738621284352000, 0, 0, 0, 5904243194924104779145041542467556407950600895050851439223005773824, 0, 0, 0, -318599157870663485874558041028426229421783910253845889618290933760, 0, 0, 0, 12971754553855355726439570810335563206154306153301511612657565696, 0, 0, 0, -404796047370030610392404744318556704977220592257728759442964480, 0, 0, 0, 9955313883326052536109751029933996076708810345391160465293312, 0, 0, 0, -193760790144186309389496937011249569347351120960596427669504, 0, 0, 0, 3021890847665288780435131685388128992072036810110948016128, 0, 0, 0, -37725329981498962086508975008428693053450017379275898880, 0, 0, 0, 380590736955944547048296799297181539729544399068397568, 0, 0, 0, -3103725665572667610414925912249007230852916343144448, 0, 0, 0, 20576136186533275290589680785528579057502321582080, 0, 0, 0, -110509944812062394502721324536669874521230032896, 0, 0, 0, 480865835678927831978167161808587896126304256, 0, 0, 0, -1677568843024521274272740411735460462723072, 0, 0, 0, 4663559337292864752349897995785363992832, 0, 0, 0, -10121527187943922703863491379569098240, 0, 0, 0, 17038741674243398490554501714019072, 0, 0, 0, -21655170726441073438591745052928, 0, 0, 0, 21303890224554703448295690624, 0, 0, 0, -16166053145876936486762368, 0, 0, 0, 9636611026065058886880, 0, 0, 0, -4468456116065994144, 0, 0, 0, 1620669321878032, 0, 0, 0, -445652000624, 0, 0, 0, 91265720, 0, 0, 0, -12432, 0, 0, 0, 1]]], "char_order": 12, "char_parity": 1, "char_degree": 4, "char_conductor": 285, "char_orbit_label": "v", "char_is_real": false, "Nk2": 2280, "analytic_conductor": 4.551472915212982, "level_radical": 570, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [570, 12, [191, 457, 211], [6, 9, 4]], "inner_twist_count": 8, "level_primes": [2, 3, 5, 19], "conrey_indexes": [83, 197, 353, 467], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 36, "sato_tate_group": "1.2.3.c12", "trace_display": [0, -4, 0, 0], "traces": [144, 0, -4, 0, 0, 8, 0, 0, 0, -16, 0, -8, -32, 0, 4, 72, 0, 32, 0, 0, -24, 8, 0, 0, 40, 0, -16, 0, 0, -8, 0, 0, -16, 0, 0, 0, -16, 0, 0, 8, 0, -44, -16, 0, -56, -48, 0, 4, 0, 0, 32, 32, 0, 0, 8, 0, -64, 32, 0, -24, 0, 0, 76, 0, 0, 16, -56, 0, 0, -8, 0, 16, 88, 0, 32, 48, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, -152, -16, 0, -4, 80, 0, -52, 0, 0, 16, 32, 0, 0, 16, 0, -48, -80, 0, 4, 48, 0, 8, 0, 0, 16, 0, 0, 0, -160, 0, 64, 0, 0, -16, -128, 0, 68, 0, 0, 0, -40, 0, 0, -80, 0, -32, 96, 0, 16, -16, 0, -36, 0, 0, -112, 8, 0, 0, -176, 0, -148, 8, 0, 20, -96, 0, -160, 0, 0, 16, -24, 0, 0, -32, 0, -16, 336, 0, -20, -32, 0, -44, 0, 0, 152, -32, 0, 0, -120, 0, -104, 0, 0, -24, 256, 0, 24, 0, 0, -72, 0, 0, 0, -8, 0, -4, -56, 0, -4, -80, 0, 72, 0, 0, 240, 80, 0, 0, -272, 0, -100, -64, 0, -128, 40, 0, -40, 0, 0, 80, -224, 0, 0, 64, 0, 44, 112, 0, 108, -176, 0, 56, 0, 0, -24, 16, 0, 0, 368, 0, -16, 40, 0, 8, 144, 0, -244, 0, 0, 16, -32, 0, 0, -16, 0, -76, -64, 0, -152, -72, 0, -32, 0, 0, 88, -104, 0, 0, 448, 0, 368, -56, 0, 12, -16, 0, 128, 0, 0, 56, 0, 0, 0, 16, 0, 60, 0, 0, 132, 160, 0, 16, 0, 0, 8, 176, 0, 0, -96, 0, 720, 64, 0, 16, 288, 0, 280, 0, 0, 80, -216, 0, 0, 176, 0, 0, 32, 0, 160, 64, 0, 72, 0, 0, 184, -32, 0, 0, -272, 0, -72, 0, 0, 64, 400, 0, -124, 0, 0, 24, 160, 0, 0, -16, 0, -164, 48, 0, -4, 24, 0, 76, 0, 0, -248, -8, 0, 0, -56, 0, 80, 8, 0, -96, -696, 0, -176, 0, 0, 64, 136, 0, 0, 128, 0, -104, -48, 0, 180, 48, 0, 48, 0, 0, -256, -24, 0, 0, 104, 0, -64, -64, 0, 180, -704, 0, -88, 0, 0, -32, -40, 0, 0, 80, 0, 152, 136, 0, -20, -480, 0, 24, 0, 0, -624, -40, 0, 0, -352, 0, -96, 24, 0, -4, 144, 0, 212, 0, 0, 128, 32, 0, 0, -224, 0, -8, 408, 0, 132, -64, 0, 72, 0, 0, 176, 104, 0, 0, 336, 0, 220, 0, 0, 0, -328, 0, -220, 0, 0, 32, 112, 0, 0, -120, 0, -108, -176, 0, -60, -144, 0, -128, 0, 0, -136, 0, 0, 0, -184, 0, 176, -288, 0, -4, -288, 0, 112, 0, 0, 256, -480, 0, 0, -64, 0, -68, -496, 0, 0, 0, 0, -168, 0, 0, 16, -16, 0, 0, -144, 0, 196, -40, 0, 40, -64, 0, -32, 0, 0, -112, 32, 0, 0, 16, 0, -4, -8, 0, 192, 56, 0, 16, 0, 0, 208, 120, 0, 0, -104, 0, -64, -240, 0, 64, 112, 0, -72, 0, 0, 32, -80, 0, 0, 464, 0, -72, -96, 0, 204, 64, 0, -168, 0, 0, -80, 128, 0, 0, -56, 0, 260, 8, 0, -100, 384, 0, -32, 0, 0, 0, 32, 0, 0, -136, 0, 120, -136, 0, 456, 88, 0, 296, 0, 0, -288, -8, 0, 0, 472, 0, 16, -128, 0, -72, 368, 0, -204, 0, 0, 312, 480, 0, 0, 0, 0, -80, -248, 0, -504, 144, 0, -200, 0, 0, -168, 80, 0, 0, 280, 0, -368, 48, 0, -264, -32, 0, 120, 0, 0, -56, -112, 0, 0, -8, 0, 168, 232, 0, -720, -128, 0, -16, 0, 0, -232, 168, 0, 0, -32, 0, -176, 720, 0, -24, 160, 0, 32, 0, 0, -192, -152, 0, 0, -56, 0, -88, -560, 0, 100, -464, 0, 68, 0, 0, -160, 88, 0, 0, -240, 0, 392, 16, 0, -232, -112, 0, 132, 0, 0, -208, -240, 0, 0, 8, 0, -176, -272, 0, 196, 320, 0, -104, 0, 0, -368, 0, 0, 0, -32, 0, -216, -176, 0, -28, -432, 0, -168, 0, 0, 80, 32, 0, 0, 32, 0, 12, 752, 0, 64, -24, 0, -88, 0, 0, 824, 64, 0, 0, -448, 0, -476, 0, 0, -84, -64, 0, -144, 0, 0, -112, -552, 0, 0, 96, 0, 136, 432, 0, -472, -176, 0, 8, 0, 0, 576, -112, 0, 0, -320, 0, -440, -768, 0, 8, 464, 0, -152, 0, 0, 64, 320, 0, 0, 592, 0, 36, 200, 0, 152, -192, 0, 220, 0, 0, -248, 416, 0, 0, 592, 0, 184, -40, 0, 224, 584, 0, -508, 0, 0, 64, 712, 0, 0, 184, 0, -268, -392, 0, -184, 96, 0, 200, 0, 0, -160, -32, 0, 0, 512, 0, -208, 8, 0, 32, 104, 0, 712, 0, 0, 296, 576, 0, 0, 64, 0, 40, -168, 0, 24, -32, 0, 248, 0, 0, 336, 448, 0, 0, 8, 0, 1144, 112, 0, 44, 736, 0, 592, 0, 0, 32, -280, 0, 0, -8, 0, -176, 40, 0, 664, -480, 0, 44, 0, 0, 256, 224, 0, 0, 200, 0, -16, 216, 0, 248, 320, 0, -184, 0, 0, -16, 432, 0, 0, 136, 0, -8, -240, 0, 308, -192, 0, 264, 0, 0, -104, -16, 0, 0, -120, 0, 248, 16, 0, -624, -576, 0, -268, 0, 0, 96, 616, 0, 0, 40, 0, -192, 224, 0, 8, 416, 0, -16, 0, 0, -448, -40, 0, 0, 328, 0, -24, -112, 0, 24, -432, 0, -80, 0, 0, -368, 496, 0, 0, 208, 0, 244, 80, 0, -348, 0, 0, 104, 0, 0, -1312, -152, 0, 0, -336, 0, -592, 64, 0, -72, 464, 0, 400, 0, 0, 208, -136, 0, 0, -112], "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, 3, 2, -1, 2, 0], [1, 1, 5, 3, -1, 4, 0], [1, 1, 15, 5, 1, 4, 0], [1, 1, 19, 3, 1, 3, 0], [1, 1, 57, 8, -1, 6, 0], [1, 1, 95, 13, -1, 12, 0], [1, 1, 285, 22, 1, 12, 0]], "char_orbit_index": 22, "prim_orbit_index": 22, "minimal_twist": "570.2.v.c", "char_is_minimal": true, "conrey_index": 83, "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}