# Stored data for newspace 798.4.a, downloaded from the LMFDB on 18 April 2024. {"label": "798.4.a", "level": 798, "weight": 4, "char_conductor": 1, "char_degree": 1, "char_parity": 1, "sturm_bound": 640, "dim": 56, "eis_dim": 16, "eis_new_dim": 0, "cusp_dim": 472, "mf_dim": 488, "char_order": 1, "char_orbit_label": "a", "char_is_real": true, "trace_bound": 7, "num_forms": 18, "Nk2": 12768, "plus_dim": 32, "AL_dims": [[[[2, -1], [3, -1], [7, -1], [19, -1]], 5, 1], [[[2, 1], [3, 1], [7, -1], [19, -1]], 5, 2], [[[2, 1], [3, -1], [7, -1], [19, 1]], 4, 1], [[[2, 1], [3, 1], [7, -1], [19, 1]], 3, 1], [[[2, -1], [3, 1], [7, -1], [19, 1]], 4, 1], [[[2, 1], [3, -1], [7, 1], [19, 1]], 4, 1], [[[2, -1], [3, 1], [7, -1], [19, -1]], 2, 2], [[[2, 1], [3, 1], [7, 1], [19, 1]], 4, 1], [[[2, 1], [3, -1], [7, -1], [19, -1]], 3, 1], [[[2, -1], [3, -1], [7, 1], [19, -1]], 3, 1], [[[2, 1], [3, -1], [7, 1], [19, -1]], 4, 1], [[[2, -1], [3, -1], [7, 1], [19, 1]], 3, 1], [[[2, -1], [3, 1], [7, 1], [19, -1]], 3, 1], [[[2, 1], [3, 1], [7, 1], [19, -1]], 3, 1], [[[2, -1], [3, 1], [7, 1], [19, 1]], 4, 1], [[[2, -1], [3, -1], [7, -1], [19, 1]], 2, 1]], "analytic_conductor": 47.08352418458101, "level_radical": 798, "mf_new_dim": 56, "char_values": [798, 1, [533, 115, 211], [1, 1, 1]], "hecke_orbit_dims": [1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5], "trace_display": [-8, 0, -40, 0], "traces": [56, -8, 0, 224, -40, 0, 0, -32, 504, -80, 160, 0, -40, 0, 0, 896, -264, -72, 0, -160, 0, 0, -416, 0, 1400, 144, 0, 0, -24, 240, 112, -128, 384, -16, 0, 2016, -104, 0, 48, -320, -1336, 168, 1104, 640, -360, -48, 848, 0, 2744, -1400, -360, -160, -2216, 0, -720, 0, 228, 384, 2656, 0, -1072, 736, 0, 3584, 240, -1008, -1240, -1056, 960, 0, -96, -288, 1024, -2384, 2112, 0, 0, -528, -768, -640, 4536, -800, -4944, 0, 1152, 2624, -2112, 0, -2072, -720, -840, -1664, 720, -96, 0, 0, -376, -392, 1440, 5600, -1208, 1872, 2288, 576, 0, -2272, 5456, 0, 6072, 4832, 1056, 0, -264, 912, 3200, -96, -360, 2784, 1120, 960, 4360, 5328, -864, 448, 5184, 0, 8704, -512, -288, 1248, 2224, 1536, 532, 2832, 0, -64, 7856, -1584, 4272, 0, -576, 96, 4688, 8064, 11584, 2416, 0, -416, 2864, 96, 224, 0, -2376, 0, 14064, 192, -7104, -400, 5136, -1280, 3584, -648, -1024, -5344, 3072, -5792, -2864, 672, 7000, -128, 0, 4416, 3608, -8832, 4032, 2560, -144, 5568, -3488, -1440, 1800, -112, -1680, -192, 8560, -720, -3216, 3392, 0, 1520, 560, 0, 5504, -3888, 5904, 10976, -2544, 0, -1520, -5600, 5016, -14992, 0, -1440, 12960, -17536, -3744, -640, 0, 1680, -5816, -8864, -1008, 128, -6560, 0, -3416, 9008, 48, -2880, -26480, 0, 1104, 0, 12600, 832, 8624, 912, -26928, 16224, 0, 1536, -11520, 1296, 6224, 10624, -3432, -4368, -2768, 0, -23112, -6248, 0, -4288, -1960, -3648, -1824, 2944, -13272, -26112, -6368, 0, -25712, -15856, -24528, 14336, -19224, -6144, -4816, 960, -216, 8160, 13632, -4032, -11360, 0, -10656, -4960, 22840, 2160, 11680, -4224, -3192, -1872, 17840, 3840, 15648, 19904, 1008, 0, -13208, 3504, -32208, -384, 0, 3104, 11424, -1152, 30168, -13760, -6528, 4096, 37272, 0, -8800, -9536, 3456, 8480, -49616, 8448, 4816, -3504, -16656, 0, 29264, -144, -17488, 0, 15312, 5472, 1744, -2112, -34464, 1296, 0, -3072, -47672, 9792, -8688, -2560, -17136, 2016, 0, 18144, -4264, 10848, 24912, -3200, -3640, 5280, -44312, -19776, -936, 19104, 27952, 0, 35984, -25464, -17520, 4608, -8640, 0, 0, 10496, -18432, -18496, 6416, -8448, -50784, 4928, 432, 0, -31576, -18144, 57440, -8288, 0, -7456, 31248, -2880, 20216, -18064, -6048, -3360, -18464, 8448, -7904, -6656, -12024, -10112, 0, 2880, -29256, -6112, 16848, -384, 8784, 1512, -27688, 0, -25608, -7536, -22816, 0, 19600, -34576, 9936, -1504, 32272, 3168, 25328, -1568, 29352, -2880, -62768, 5760, -6112, -24160, 0, 22400, 5976, 4416, -21216, -4832, -3240, 6944, 68144, 7488, 888, -29280, 2256, 9152, 4480, -432, -29888, 2304, 1776, -8208, -15552, 0, 9896, -8272, 7632, -9088, -80728, -18720, 17360, 21824, 35232, -26304, -65520, 0, 26568, 7616, -14976, 24288, 2432, 19008, -29840, 19328, 24696, 28256, 32704, 4224, -15104, -24704, -1056, 0, -26760, -12600, -28272, -1056, -33528, -15456, 17920, 3648, -24320, -12336, -3240, 12800, -13224, 3696, 73248, -384, 12816, -33680, -39888, -1440, -29232, -19488, 9792, 11136, 24800, 7296, -15504, 4480, -19944, 13872, -96736, 3840, -26176, -60272, -8232, 17440, -76192, 0, 11072, 21312, -96, -3920, -75056, -3456, -34368, -7600, -6480, 1792, 19488, -2928, 16896, 20736, 21504, 15072, -24608, 0, 40464, 5152, 33600, 34816, -2664, 39072, 15792, -2048, 2052, -42656, 116880, -1152, 51584, 0, -13824, 4992, -19416, 3456, -35024, 8896, 2688, -39344, -51728, 6144, 26120, -8576, 23904, 2128, 86128, -36960, -56832, 11328, 22800, 6656, 7840, 0, 36032, -23680, -9888, -256, 65136, 0, -67304, 31424, -9648, 18592, -5168, -6336, 23296, 22128, 5760, 17088, 148560, 6624, 15808, 0, -23136, -49056, -59840, -2304, -31728, 14848, 0, 384, -40744, 0, 25568, 18752, -72432, 7168, 18464, 32256, 54352, 67624, -84480, 46336, -34328, 16704, -31792, 9664, 2160, -43584, -12224, 0, 15656, 3808, 2784, -1664, 95224, -9072, 19376, 11456, -29856, 18176, 124208, 384, -75032, -11648, -11160, 896, -2360, -34224, 34832, 0, 3192, 14912, 800, -9504, -2992, -102240, -19728, 0, 98416, -13200, -2544, 56256, 8640, 66688, 52304, 768, 46664, -19984, 5016, -28416, 212016, 0, -71360, -1600, -37944, 16160, 174000, 20544, -1960, 117408, -864, -5120, 98792, 26016, 93376, 14336, 39264, 20672, 63392, -2592, -159936, 8560, -672, -4096, -35664, -36288, 12000, -21376, 9216, 12768, -42032, 12288, -48232, 46736, 23664, -23168, 0, -21456, -83424, -11456, -30768, 80480, 163728, 2688, 110192, 22288, 19008, 28000, -34792, 4800, -6048, -512, -28704, -76480, -35632, 0, 220208, 0, -31584, 17664, -30288, 31200, -113856, 14432, 0, 33952, -51792, -35328, 31776, -102320, 10128, 16128, 23552, -4752, 10944, 10240, -70656, 37936, 21728, -576, -119760, -89984, -6912, 22272, 219552, 336, 182192, -13952, 22896, -56944, 35856, -5760, 1512, -2888, -53184, 7200, 160152, 26112, 6560, -448, 40824, -70240, 5744, -6720, 67296, 76608, 0, -768, 64352, -7200, 7120, 34240, 0, -20832, 22720, -2880, -14976, -68080, -44496, -12864, -83328, 45216, 34480, 13568, -28584, -7296, 90544, 0, -33008, 76720, -42672, 6080, 77832, 17952, -2352, 2240, 10368, 3456, 78192, 0, -12544, -896, 67632, 22016, -49544, 23616, -31216, -15552, 23184, 48448, 26752, 23616, 80576, -71904, -19008, 43904, -61168, 61296, -51408, -10176, -18096, -6336, -8512, 0, -262144, -173168, 120096, -6080, -202792, 6384, 1472, -22400, -18648, -6496, 108160, 20064, 108864, 19136, -29904, -59968, -63696, -6480, 185040, 0, -40416, 48256, -43472, -5760, -10032, -86288, -7560, 51840, -98016, -5280, 175680, -70144, 133008, -8512, -42144, -14976, -176200, 112512, -90624, -2560, -12936, 52128, -11504, 0, 6480, 90784, 10512, 6720, 134856, 4592, -66816, -23264, -50552, -864, -58352, -35456, -21120, 101488, 30928, -4032, -228496, 42112, 0, 512, 78696, -15648, 85392, -26240, 34104, 43264, -67168, 0, 34768, 85456, 38592, -13664, -130640, 29280, -179280, 36032, -3384, -4560, -40656, 192, 73784, 89792, -6768, -11520, 6584, -3528, -88960, -105920, -30864, -36928, -184576, 0, 37968, -236096, 12960, 4416, -4408, 30240, -34944, 0, 106224, -85952, 36176, 50400, 152896, -130272, 15792, 3328, -107376, -20736, 215768, 34496, -10872, 69440, 259280, 3648, -129728, -53200, 19152, -107712, 50792, 16848, -28576, 64896, -11184, 156848, 48048, 0, 192008, -92160, 20592, 6144, 167752, 33888, 0, -46080, 94656, -44896, -150064, 5184, 79856, 4928, 71808, 24896, -184488, -81120, 36384, 42496, 0, 170048, 59744, -13728, -13488, -31616, 71040, -17472, -31768, -20448, -204352, -11072, 52032, -87232, 107072, 0, 52376, 108384, 49104, -92448, -74384, 23184, 190720, -24992, -36480, 190976, -220976, 0, -38752, 72176, -10608, -17152, -262440, 107616, 293456, -7840, 54648, -95360, 30384, -14592, -99168, -85824, 17472, -7296, 125200, 43488, -59056, 11776, -69336, 896, 306320, -53088, 3680, 67808, 9504, -104448, -78400, 26496, -34816, -25472, -92448, -99968, -27968, 0, -209648, -50016, -38976, -102848, -93688, -38112, 2128, -63424, -2376, -191424, -185872, -98112, 191896, 51072, -105360, 57344, -164072, 8208, -44224, -76896, 0, -18848, 26832, -24576, -65008, 58496, 28800, -19264, -185056, -122784, 7088, 3840, 20736, 114752, -896, -864, 77216, -29792, 87168, 32640, 22760, 6552, -77264, 54528, -3240, 50720, -191536, -16128, 13888, 135480, -126648, -45440, 64704, 25056, -74704, 0, -27840, 66560, -339632, -42624, -116240, 145984, 10080, -19840, 130096, 5760, -57424, 91360, 158688, 0, 454080, 8640, -86864, -219632, 0, 46720, -50400, 134928, -19168, -16896, 39240, 156416, -349328, -12768, -158728, 12080, 49440, -7488, 89928, 47952, 2128, 71360, -101760, 0, -100864, 15360, -100592, 20608, -7776, 62592, -194840, -57504, -243952, 79616, 12600, -88928, -291248, 4032, -936, -274528, -117168, 0, 19152, 30720, 38144, -52832, 46656, -145696, -20384, 14016, -23264, -447680, 93792, -128832, -119936, 0, -323984, -1536, -189480, -11808, 394576, 0, -38528, -19680, 78336, 12416, -80944, 46608, -244976, 45696, -97248, -135216, -4128, -4608, -2088, -46992, -119280, 120672, 2496, 15360, -71440, -55040, -2592, 33264, 131136, -26112, -50224, -26528, 56352, 16384, -44464, 11232, 192648, 149088, -24960, 96800, 276880, 0, 205792, 0, 20016, -35200, -174408, -182016, 123872, -38144, -56832, 3248, -2752, 13824, -20192, -3136, -145872, 33920, -231192, 203424, 85600, -198464, 4788, 179200, -499568, 33792, 62864, 333584, 33168, 19264, -167744, 25488, 240768, -14016, 91440, -110896, 22288, -66624, -325088, -62560, 0, 0, 182568, -17472, 108576, 117056, -37872, 144512, 288528, -576, 68600, 100528, 15024, -69952, 340536, 16992, -69296, 0, 70704, -59120, 69920, 61248, 31512, -243104, -8400, 21888, -380464, -14256, 167840, 6976, 104016, 10752, -39136, -8448, -150744, -326184, 38448, -137856, 151200, 30096, -417824, 5184, -99816, -165088, -427760, 0, -7888, 273952, -76368, -12288, -299824, -124896, -218232, -190688, -5184, -128384, -340560, 39168, -96216, 7056, 78072, -34752, -100008, 864, -28096, -10240, 46032, 144608, -108976, -68544, 14400, 200096, 42192, 8064, 151200, 72288, -219344, 0, -78000, 178496, 70672, 72576, 310592, 0, -202512, -17056, -44200, -22176, -33376, 43392, 104256, -111744, -7568, 99648, 203280, 148928, -31008, -12800, 101744, 21744, -277728, -14560, -24048, 292736, -375696, 21120, -128584, 318864, 0, -177248, -294136, 23232, -274816, -79104, -92448, 31920, 92112, -3744, 198976, 90144, 132480, 76416, 180320, -81552, 66240, 111808, 25776, -138144, 544304, 0, -120240, -244304, 34224, 143936, 94848, 864, 68992, -101856, 199968, 23200, 338496, -70080, 398016, -30576, 2016, 18432, 239816, -91296, 62336, -34560, -103152, 129408, 475760, 0, 233992, 5344, -152160, 0, 249088, 139584, 186208, 41984, -21384, 302336, 15344, -73728, -299784, -64640, -63072, -73984, -366560, 0, 54112, 25664, 182256, -211392, -504368, -33792, -146384, 126912, 126576, -203136, 304336, -220512, -215120, 19712, -226776, -49952, 339776, 1728, 281168, -2432, -68208, 0, -151288, -63648, 6192, -126304, -63936, 22176, 190160, -72576, -73504, 92112, -83040, 229760, -1176, -3600, 629088, -33152, -18468, -157664, -106192, 0, -71232, 218848, 46224, -29824, -45688, 204240, -197680, 124992, 115296, 97152, 454272, -11520, 296704, 121856, 13776, 80864, -186200, 25152, -94416, -72256, 32256, 171456, 217904, -24192, -494864, 256576, -34752, -13440, -348240, -5832, 60528, -73856, 257256, -287360, 0, 33792, -216560, -446000, -9216, -31616, 650288, 11760, 36368, -26624, 44544, -16672, -419456, -48096, -127232, 497792, -446112, -40448, -280088, 0, 663376, 0, 27648, 61248, 320560, 11520, 333376, -31840, -19152, -117024, 437040, -52128, 219664, -24448, -44112, -85120, 286128, 67392, -127832, -2512, -25776, -1536, 173152, -60720, -293344, 35136, 297168, 340480, 637792, 6048, 116800, -54864, -226080, -110752, 112768, -88992, 5488, 0, 63000, -123888, 29888, -102432, -645360, -123872, -102864, -30144, 108384, -1152, -51232, -91264, -81648, -370112, 383296, 0, -205376, 201072, 0, 78400, -83616, 148992, 194384, -138304, -118176, -330624, 62720, 39744, -175992, 91712, 51984, -6016, 1111144, -6720, 201328, 129088, 32472, -29184, 314688, 12672, 68712, 279616, -299376, 101312, 180704, -79488, -19744, -6272, 70848, 94976, 167088, 117408, 287272, -60000, 36288, -11520, 44232, 78192, 466280, -251072, -285792, 8288, -327376, 23040, 117232, -335520, -158112, -24448, -43232, -358368, -1184384, -96640, -1296, 127296, -888032, 0, -231280, -127872, 65376, 89600, 39048, 50112, 40768, 23904, -265248, -56768, -41344, 17664, 769832, -178528, -31392, -84864, -439304, -28896, 88464, -19328, 18816, 69904, 68720, -12960, 215376, 538208, 261264, 27776, -539264, -178176, -29472, 272576, 16200, -19456, -240576, 29952, -70656, -66272, 98784, 3552, 2136, -1008, 251232, -117120, -188904, -314368, 419056, 9024, -146384, 187840, -15120, 36608, 278624, 5136, -727328, 17920, 26448, -27808, 55152, -1728, 127984, -292560, 30576, -119552, -315888, 4416, 470016, 9216, 77040, -784, -387984, 7104, -228768, -145376, -4896, -32832, 24640, -6480, -12984, -62208, 64944, -67104, 52784, 0, 146664, -42744, -28944, 39584, -694448, 70272, -111328, -33088, 470784, 680240, 11856, 30528, 421160, 61824, 150816, -36352, 567432, 114240, -12672, -322912, 0, -144096, 156576, -74880, 182784, 298448, 400800, 69440, 300312, 13680, 546816, 87296, 252240, -427520, 0, 140928, 619168, 631840, 5040, -105216, -485112, 0, -899576, -262080, 275280, 259648, 482800, 0, 41496, 42688, -116112, 106272, 5184, -158592, 618192, 30464, 49536, 115104, 593056, -59904, -151448, 935968, -71232, 97152, -339568, -34992, -225256, 9728, 115584, -67872, 103472, 76032, -392384, -183888, 53136, -119360, -75320, -88224, -5440, 77312, 178584, 322064, -262944, 98784, 662208, 248800, -94848, 113024, -185840, 37056, 144368, 130816, -22896, -53312, -634816, 16896, 743336, 52640, 68136, -60416, -31792, 0, -356176, -98816, -10752, 90592, 370640, -4224, -346776, 484832, -13680, 0, 364992, -223104, -561024, -107040, 29184, -316480, -143248, -50400, 563632, -303680, -247728, -113088, -14440, 31584, 557248, -4224, 45144, -199136, 423520, -134112, -5096, -50768, 317520, -61824, -752656, -134928, 1257824, 71680, -38256, 488448, -88912, 14592, -90752, 14784, 0, -97280, 273712, 142176, -267296, -49344, -244224, -166544, -1087392, -12960, 951728, -70976, -33888, 51200, 128576, 98112, -760, -52896, 116640, 656768, -127632, 14784, 454552, -31568, 275184, 292992, -282096, -157824, 170128, -1536, -325920, 161424, 80688, 51264, -226568, 0, -33696, -134720, -266512, -148848, 175376, -159552, 98952, -166112, 722208, -5760, 34688, 229104, 698688, -116928, 671032, 119520, 69616, -77952, 0, 400704, -149072, 39168, 292544, 491904, -73392, 44544, -492024, 15120, -683168, 99200, 4464, 103776, -687568, 29184, -361088, 337600, -52344, -62016, -145888, 358848, -494304, 17920, 565536, -336224, 179040, -79776, 79648, 468192, 2352, 55488, -326136, 432096, -361152, -386944, -9072, 137760, 122512, 15360, -247792, 295992, 126336, -104704, -363440, 1152, 865056, -241088, 256272, -275360, -753376, -32928, -318616, -229216, -59040, 69760, 418128, 0, -89824, -304768, 171216, 109920, 13344, 0, -894080, 112000, -28128, 44288, 711816, -219792, 79184, 85248, -30744, 351904, 803088, -384, -71288, -235424, 109056, -15680, 218128, 81072, 418784, -300224, -119088, 176480, -271712, -13824, 425088, 247392, 432, -137472, 311928, -18144, -150800, -30400, 106800, -316032, 631552, -25920, 209552, -429968, 170784, 7168, -345648, -196800, 502944, 77952, -238320, 124384, -531376, -11712, 746464, -682160, 15960, 67584, -279416, 0, -375840, 82944, -14688, 68768, -306944, 86016, 751456, 405632, 9936, 60288, -65464, -9504, -963264, -98432, 13776, 18240, 368752, 0, -452416, 208016, -410688, 161856, 253248, -175680, 26544, 20608, 113400, -271088, 584864, 134400, -628424, -107744, -127872, 139264, 1216, 7488, 108288, -10656, -31416, 102272, -736560, 156288, 617920, -228400, 77616, 63168, -1297760, -255744, -137216, -8192, -390432, -999264, 266672, 8208, -196624, 726176, -613920, -170624, -1200760, 8232, 376896, 467520, -242352, 309136, -408160, -4608, -223104, -578448, -59136, 206336, -877136, 146016, -162336, 0, -119616, 165312, -108512, -55296, -650176, -569984, 0, 19968, -338392, -321360, -184136, -77664, 75648, -2912, -487888, 13824, -187336, -204896, -199584, -140096, -38752, -309024, 225440, 35584, -103680, 2928, -231424, 10752, -622768, 784256, 841536, -157376, -16016, 11664, 54096, -206912, 47880, -159136, 267936, 24576, -415296, -49056, 56016, 104480, 239664, 363024, -133888, -34304, 107520, -734912, -883168, 95616, 57856, 120224, -232368, 8512, 187184, -98496, -733088, 344512, -30888, 538144, 301504, -147840, -93728, 35856, 178704, -227328, 782200, -39312, -59616, 45312, 603120, -1044256, 199120, 91200, -21168, 210880, -24912, 26624, 938080, -92208, -599648, 31360, -90240, -311360, 439056, 0, -549720, -273472, -80976, 144128, 260192, 0, 339200, -94720, -208008, -135072, -353104, -39552, -216096, 482912, -51408, -1024, -375816, -56232, 205704, 260544, -38688, 346176, -968592, 0, 116736, -277968, 0, -269216, -194736, -13440, -188048, 125696, -34944, -274048, -210384, -38592, -566144, -39200, -203424, 74368, 772560, -449280, -39600, -20672, -17640, -44304, -266848, -25344, 383960, -153184, -347088, 93184, 158992, -32832, 635152, 88512, -277200, 373904, -27776, 23040, 733424, 120544, -16416, 68352, 696504, -77280, 64688, 594240, -17424, -245792, 68400, 26496, -122192, 420304, 35136, 63232, 628472, 76704, 392000, 0, -119448, 15200, 44656, -92544, 102224, -41536, 154224, -196224, 183424, -235008, -982256, -239360, 200952, -2352, -1582880, -9216, 742512, 97360, -57312, -126912, 0, 86880, 242112, 59392, -362880, 306240, 1491472, 0, -346824, -446240, -174720, 1536, -590584, 2784, -391720, -162976, -231408, -382624, 299200, 0, 407056, -54656, -395688, 102272, -132336, -142704, -70944, 75008, 27888, -208640, 72256, -289728, 126616, -263488, -220752, 28672, 748880, 132480, 63232, 73856, -634272, -127392, 41552, 129024, -762576, -174768, 222336, 217408, 1199736, 117600, -447168, 270496, -173016, 271360, -644480, -337920, 195216, 55936, 383952, 185344, -216640, -55296, -130016, -137312, 338208, -160032, 640608, 66816, -422000, -239136, -43344, -127168, -339576, -52032, -1427776, 38656, -58368, -97888, -572560, 8640, 527776, -740336, -250656, -174336, -46144, 495936, -1215272, -48896, -1944, -1091936, 1396592, 0, -915696, 570560, -677328, 62624, 588264, 73440, -78400, 15232, -124512, 395040, -275872, 11136, -18304, -191296, 122688, -6656, -389632, 222432, -439776, 380896, 61656, 414784, 193344, -36288, 289392, -902688, 16704, 77504, 128, 280992, 467856, 45824, -102240, 268768, -54096, -119424, -1444136, -749472, -326208, 72704, -973304, 0, -780848, 496832, 465024, -508352, 268080, 1536, 134456, 50608, -95904, -300128, -1414352, -3360, 1298816, -46592, -253632, -418304, -168080, -44640, 164616, 226048, 19488, 3584, -211008, -211776, -72096, -9440, 205560, 236544, -1519776, -136896, 271688, 374736, 264192, 139328, -82432, 19440, -212720, 0, 148656, 166704, -479280, 12768, 479392, -432160, 105120, 59648, 421352, 192960, -235424, 3200, 100128, 808320, 246064, -38016, -1781104, -68600, 39216, -11968, 705600, -479904, 650128, -408960, -28728, 68832, 1016624, -78912, 1121664, 208224, -263136, 0, 21888, -16848, 491104, 393664, 294672, 29184, -246736, -52800, 376512, -97648, 160560, -10176, -835224, -185472, 147488, 225024, -198624, -518304, -1391248, 34560, -52640, -486720, 177792, 266752, -202008, 85536, -714304, 209216, 140832, 260096, 18000, 3072, -1033712, -739216, -17640, 186656, 787472, 179136, 691472, -79936, 471696, 161952, 826608, 20064, 1229584, -236608, 9072, -113664, -148176, -166800, 881008, 848064, -133344, -483424, -526160, 0, -1152672, -943456, 448032, -285440, 538216, -114528, 0, -6400, -118872, -501472, 7904, -151776, 1770128, -115696, -282288, 64640, 1233216, 31536, 222976, 696000, -235872, 160128, -284416, 82176, -121584, 105792, -289872, -7840, 639000, 323664, -384192, 469632, 580800, -501648, -137200, -3456, 274960, 367488, 458352, -20480, -479696, -10416, 754912, 395168, 0, 143424, 1510736, 104064, 90496, -510592, -465120, 373504, -577872, 27936, 1611568, 57344, 223296, 170704, -84240, 157056, -81120, -186208, 102816, 82688, 87680, 37824, 242416, 253568, 548208, -207648, 134992, -10368, -315808, 705200, 607296, -639744, -108584, 42720, 1322064, 34240, 271512, 662384, -131328, -2688, -448896, 65216, 973824, -16384, 568136, -123840, 187264, -142656, -293280, -688320, -512384, -145152, 520008, 310688, -58752, 48000, -1380584, 62928, -717952, -85504, -212688, -372128, 1260736, 36864, 159952, 520992, -180384, 51072, -1120624, -434736, 2371648, -168128, 335448, 346784, 553616, 49152, 187568, -266032, 349272, -192928, -2116264, 0, -1555968, 186944, 334608, 443616, 508528, 94656, 214144, 310912, -79200, -92672, 331312, 342288, -1388032, 0, -779424, 372576, 62304, -85824, 1307360, 708064, 60144, -333696, 654816, -135648, -224032, -45824, 31104, -398720, 157552, -123072, 687088, -832384, 0, 321920, -288064, 76320, 1363776, 654912, 363600, 334944, -728624, 10752, -149808, -234304, -446544, 440768, -1411624, 34368, -35280, 89152, 589968, -147744, -65040, 76032, -1016496, 24640, 876096, 112000, -1292800, -547296, -90592, -139168, 43344, 15232, -2190448, 19200, -1567552, -101408, -1379904, -24192, -32832, -31536, -292592, -2048, 465000, -1192480, -422016, -114816, 225704, -216064, -149904, -305920, -1262296, -145824, -69816, -142528, -289488, -553600, -433744, 0, -164640, -817272, 102576, 880832, -1832512, 382272, -1130416, 0, 263376, -602752, 1909088, -126336, -498008, 151488, -14784, 70656, 120336, -1296, -83296, -121152, 71280, -122528, 1038144, 124800, -798400, -720816, -157392, -455424, -715344, 249072, -437360, 57728, -201312, -134240, 983600, 0, 1434592, -144096, 485616, 135808, -458680, -390240, 603120, -207168, 137808, -314240, 461296, -141312, 1042048, 117376, -184680, 127104, -745896, 49248, 230528, -409280, 11172, 210656, 618208, 40512, -815120, 743648, 15696, 64512, -48104, 336, 383376, 94208, 426480, 839680, -324800, -19008, 233096, -1041408, -321360, 43776, 1023840, -187152, -188224, 40960, -310176, 119040, -377472, -282624, 117712, 192992, 109872, 151744, 1779048, 11664, -1025008, 86912, -224688, 279360, 221920, -2304, -663160, -1760, 0, -479040, -493520, 649344, -585328, -359936, 565680, 18816, -611104, -27648, 323168, 370944, 325584, 89088, 397376, 114000, 1583600, 878208, -429048, 488832, -701328, 1344, 1393504, 783088, -614016, 728768, 74792, 88128, -578704, -55808, 553440, -880480, -195120, 91584, -367384, 212352, -78192, -227776, -939848, 143472, 147072, 143424, 57792, 632640, -1100992, -23040, -253664, 419328, 935136, 6048, -1719056, 325632, -476848, -11552, -154224, -115024, 130144, -212736, 379120, -59456, -4320, 28800, -610568, 18144, -828288, 640608, 901824, -537632, 406112, 104448, 209440, -453392, 0, 26240, -46408, 357312, 189280, -1792, -107232, 825504, 1449888, 163296, -301704, 146912, -21504, -280960, -1222736, 314688, 1189136, 22976, -38376, 117040, 657088, -26880, -24416, -779584, -419760, 269184, 604632, 97632, 684800, 306432, 219168, 150624, 1914112, 0, 372784, -1232784, 224208, -3072, 79040, -141456, 490784, 257408, 434496, 944864, -642608, -28800, 450376, 159712, 226944, 28480, 330232, -83712, -468672, 136960, -32760, 950976, 608656, 0, 274304, -545216, -765408, -83328, -533408, 47520, -495008, 90880, -59736, 846944, -600768, -11520, -404896, 689904, -398808, -59904, -1815136, 0, 241680, -272320, -895920, -856800, -772544, -177984, -52528, -70400, 691008, -51456, -724976, -234528, -770272, -333312, -8424, 210560, 849152, 180864], "hecke_cutter_primes": [5], "level_primes": [2, 3, 7, 19], "relative_dim": 56, "hecke_orbit_code": 67109662, "weight_parity": 1, "level_is_squarefree": true, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 1, "prim_orbit_index": 1, "conrey_index": 1, "ALdims": [4, 3, 3, 5, 4, 4, 4, 3, 4, 3, 4, 2, 3, 3, 2, 5], "newforms": ["798.4.a.a", "798.4.a.b", "798.4.a.c", "798.4.a.d", "798.4.a.e", "798.4.a.f", "798.4.a.g", "798.4.a.h", "798.4.a.i", "798.4.a.j", "798.4.a.k", "798.4.a.l", "798.4.a.m", "798.4.a.n", "798.4.a.o", "798.4.a.p", "798.4.a.q", "798.4.a.r"], "oldspaces": [[6, 1, 1, 4], [7, 1, 1, 8], [14, 1, 1, 4], [19, 1, 1, 8], [21, 1, 1, 4], [38, 1, 1, 4], [42, 1, 1, 2], [57, 1, 1, 4], [114, 1, 1, 2], [133, 1, 1, 4], [266, 1, 1, 2], [399, 1, 1, 2]]}