# Stored data for newspace 1859.4.y, downloaded from the LMFDB on 26 May 2022. {"char_orbit_index": 25, "prim_orbit_index": 21, "label": "1859.4.y", "level": 1859, "weight": 4, "char_conductor": 143, "char_degree": 8, "char_parity": 1, "sturm_bound": 728, "dim": 3616, "eis_dim": 224, "eis_new_dim": 160, "cusp_dim": 4256, "mf_dim": 4480, "char_order": 30, "char_orbit_label": "y", "char_is_real": false, "Nk2": 29744, "analytic_conductor": 109.6845507006718, "level_radical": 143, "mf_new_dim": 3776, "char_values": [1859, 30, [508, 1354], [6, 5]], "conrey_indexes": [147, 192, 361, 654, 823, 1037, 1499, 1544], "trace_display": [9, 3, 0, 9], "traces": [3616, 9, 3, -1765, 0, 9, 9, 0, 3939, 328, -150, 12, 0, -12, 63, 6527, -161, 0, -195, 333, 0, 829, -92, 1347, 20324, 0, -264, -147, -97, 1783, 0, -1032, -306, 0, -41, -13216, 9, -610, 0, -1544, -279, -2443, 1000, 0, 654, 657, 0, 1275, -18963, 966, 2504, 0, 1412, -1518, -1047, 1638, 0, -2175, -2061, 0, 423, 2881, 5754, 41204, 0, 8126, 1272, 3032, -4191, 0, 483, 15123, 0, 2357, 2947, -2142, -5466, 0, -8204, -4377, 31029, 3565, 0, -6840, 5511, 0, -10256, -8815, 6372, 8162, 0, 2690, 12849, -9037, -3629, 0, 2889, -11394, 0, -133082, -881, -13530, -13116, 0, -12604, -4989, 3113, 2474, 0, 17640, -4536, 0, 2049, 5113, 672, 30932, 0, -31688, -12135, 10348, 1794, 0, -927, 12873, 0, 9969, -815, 1125, 6094, 0, 49232, -14442, 3084, -13221, 0, -7755, -13347, 0, 2883, -10817, -27393, -17108, 0, 342224, 7347, -1395, 10372, 0, 10869, -6801, 0, 11031, 19102, -42339, -32200, 0, 4420, 43974, 5963, -35278, 0, 29295, 9735, 0, 9329, -20942, 11613, 89650, 0, -6956, -29355, 22139, -20153, 0, -7908, 41154, 0, -43327, 413, -13155, -10000, 0, -31096, -33681, -10005, 78244, 0, 26502, -12192, 0, 15181, 34089, -7527, 57272, 0, -85904, 18912, -61072, 15352, 0, -40491, -52353, 0, 48583, 9681, -37443, 4010, 0, 30518, -15120, 20347, -13191, 0, -64470, 56082, 0, -17699, -53281, 51594, -42210, 0, -66950, 7767, 8126, -85580, 0, -15267, 113499, 0, -7750, -39207, 23232, 8476, 0, 74296, 66696, -2483, -17890, 0, 126279, -99132, 0, -53218, 47343, 16611, -50312, 0, -92136, 11415, -56458, 16185, 0, 62550, 101448, 0, 154719, 53045, 52923, 50664, 0, -79010, 18864, -39368, 59567, 0, -103914, 41391, 0, 34979, -54355, 1965, 59746, 0, 10944, -34284, -111764, -9451, 0, -39759, -69666, 0, -15926, -18417, -73485, -161440, 0, 52812, 57582, 101419, -32641, 0, -35739, -100101, 0, -7913, -44600, -78684, 190148, 0, -280814, 11817, -101142, -93585, 0, 55395, 27156, 0, 46102, 11530, 65055, 22160, 0, 9744, 3669, 99404, 168265, 0, 84930, 56958, 0, 31359, 30394, -10227, 148556, 0, -110776, -37620, -16027, 132946, 0, 46356, -136989, 0, -8662, 109306, -41163, 8092, 0, -202312, -25428, -51177, 60880, 0, -101424, 29067, 0, 161129, 13452, 66705, -24860, 0, 98778, -82188, -38577, -131059, 0, -266406, 94095, 0, 31563, -148783, 166770, -282114, 0, 16676, 205998, -18007, -67696, 0, -88869, 57333, 0, -71096, 1084, 73902, -45070, 0, 16504, 32673, -52564, -58965, 0, 183207, -165888, 0, -65578, 161599, -27042, 116212, 0, -129258, 23634, -78204, -25803, 0, 564168, 14244, 0, 86486, 4647, 112653, 150862, 0, 135216, -183747, -17184, 54406, 0, -62133, -102753, 0, -918, -51357, -125592, -37836, 0, 7132, -174441, -8032, -50103, 0, -177369, -39717, 0, 80129, 13630, -165783, -499444, 0, 57736, 143853, 88197, -30483, 0, -39756, -150717, 0, 48094, 86032, -351654, -887060, 0, -176040, 51447, 90084, 27630, 0, 132117, 66003, 0, -84886, 6118, -89535, 48612, 0, -523536, 50121, 174276, 102607, 0, 144828, 19878, 0, 25749, 44296, 125481, 321792, 0, 208922, -76590, 68217, 225760, 0, 166374, -234099, 0, 56091, -21447, 74553, 215176, 0, 328510, -140238, -35787, 364622, 0, -243909, 32778, 0, 165316, -16399, -47664, 185144, 0, 288290, -59844, 122673, -298847, 0, -614316, 74169, 0, 27247, -332124, 197526, -209614, 0, 223292, 74211, 76552, -112051, 0, 25767, 62910, 0, -377372, -176059, 108816, -228756, 0, -291848, 275058, -26679, -106285, 0, 420390, 167178, 0, -511336, 230537, 128556, 133082, 0, 406444, 220605, -50013, -2769, 0, 554235, 362964, 0, 149394, 30293, 369264, -110244, 0, -25540, -142146, -348718, 288738, 0, -419139, 54939, 0, 86636, 154322, -212451, -709102, 0, -125104, -553608, -331478, -253047, 0, -325383, 10833, 0, 25081, -96375, -549249, -38952, 0, -344052, 145206, 143834, -368787, 0, -154314, -311625, 0, -139113, -126358, -245811, -595932, 0, -244948, -122523, 235953, -60987, 0, 180309, -159411, 0, 36460, -94550, -12624, 220410, 0, -327200, 170847, 200377, -99640, 0, 66714, 64827, 0, 146207, 19976, 209958, 28352, 0, 371394, 154683, 139818, 502346, 0, 134952, 30108, 0, 279350, 350758, -230961, 79154, 0, 64180, -152538, 358628, 352824, 0, -891084, 67395, 0, 31071, 57639, 52689, 466828, 0, 789942, -133998, 116076, -60303, 0, -370965, -168753, 0, -200820, -204689, 1026384, 371354, 0, -54340, 173895, 56079, -501624, 0, -80976, -71001, 0, -276824, -689819, 268956, 1278368, 0, -383918, 197532, -43758, -252055, 0, 363117, 681072, 0, -664630, 78795, 419058, 121630, 0, -5020, -92988, -55541, 191037, 0, 973095, 260352, 0, 106365, -88733, 240333, -136624, 0, 360740, -342441, -733892, 221628, 0, -345165, 23673, 0, 452112, 399235, -944541, -510176, 0, -213588, -412518, -212922, -205052, 0, -117927, 10497, 0, 306239, -26267, -471240, 1263364, 0, 391336, 320637, 65819, -140739, 0, -108201, -242157, 0, -130114, 48120, -665070, -498336, 0, -406470, 575811, 134111, 109864, 0, 39534, -219918, 0, -158176, 410696, -71007, 452772, 0, -558186, 229953, 601597, 246213, 0, 7686, -485589, 0, 404641, 239049, 26079, -61824, 0, 101652, -204864, 144563, 694836, 0, 351414, -118905, 0, -63174, 297625, 183924, 1102184, 0, 1161802, -196236, 160907, 173620, 0, -497229, -462495, 0, -118892, -262324, 215577, -551892, 0, 556294, 194682, 413667, -398833, 0, -859935, -108387, 0, -206671, -532877, 219588, 322922, 0, -116070, 121548, 50499, -116739, 0, 124671, 320151, 0, -487024, 177297, 875298, -691770, 0, 294740, 710685, 400023, -750751, 0, 1283352, 1130184, 0, 79674, 21527, -32889, -302916, 0, 17752, -203103, -708223, -121193, 0, 961242, 177414, 0, 720366, 343911, 575451, 154124, 0, -921332, -513621, -979018, 160706, 0, -453585, -317241, 0, 305069, 384517, -850887, -28186, 0, -1081616, -401586, -1347678, -378737, 0, -177705, 526950, 0, 305578, -294890, -1110603, -478576, 0, -126496, -391848, 138017, -286315, 0, -534447, -342543, 0, -360997, -216858, -1016793, -1744800, 0, -275858, 99189, 72506, -161186, 0, 246033, -1011954, 0, -191513, -28996, -276234, 10904, 0, -353524, -573933, 684347, 772632, 0, 148248, -543288, 0, -53225, 315254, 31053, 1465566, 0, 823708, 238803, 1125971, -51550, 0, -190926, 123807, 0, 91880, 353433, 844857, 712164, 0, 972896, 604404, -14551, 431582, 0, -721248, 341952, 0, -145011, -345748, 778242, 752990, 0, 1990378, -101472, 204629, -131467, 0, -946557, -64440, 0, -391704, -233837, 1035888, -572064, 0, -560428, 315153, -158641, -538770, 0, 654672, -107625, 0, 588, -509444, 437628, 1290090, 0, 492756, 73371, 385941, -241853, 0, 727797, 1388802, 0, -448420, -15333, 330732, 436096, 0, 686272, -276414, -192445, 61864, 0, 1757193, 232092, 0, -269273, 185883, 458805, 97710, 0, -361026, -197889, -1556096, 265546, 0, 231168, -224253, 0, 331775, -42180, -1185321, 37906, 0, -586224, -432669, -466516, -553996, 0, -361308, 578862, 0, 224115, -569901, -1197771, -1672492, 0, -367660, 416547, 370038, -31321, 0, -366615, -1182264, 0, -133484, 244250, -1572198, -332432, 0, -1248812, 173478, -596989, 810842, 0, -599163, -425571, 0, 388219, 1147904, -125709, -447076, 0, -1371438, 436194, 70742, 37763, 0, -159156, -1252542, 0, 301433, 244887, 307773, 1080912, 0, 780280, -747702, 548991, 786088, 0, -296310, -232875, 0, 378019, 133961, 406197, 785120, 0, 1096154, -304962, 1234159, 733010, 0, -50211, 19014, 0, -319438, 326985, 1064022, 619476, 0, -721814, -191448, 268461, 157877, 0, -1251792, -669333, 0, -232350, -959643, 718062, 1439006, 0, 1032246, 536748, -83004, 37385, 0, 933966, 880662, 0, -355610, -434803, 2112708, 505768, 0, 320268, 386568, -534988, -814905, 0, 1963626, 1416714, 0, -634528, 87508, 246759, -307036, 0, -866658, 212811, 590895, -87945, 0, 732402, 2163030, 0, 541079, 532333, 1338195, -968396, 0, -1300838, -807822, -1291380, -1210518, 0, -359700, -163974, 0, 486587, 349145, -1399995, -257082, 0, -2048668, -157977, -1556170, -1213549, 0, -1000419, -372294, 0, 1054371, -8491, -1753251, -975784, 0, -1453672, -703563, -51577, 703989, 0, -194619, -577539, 0, 202467, 905144, -2520666, -1895264, 0, -1323930, -688107, -883416, 144842, 0, -6147, -1595319, 0, -285574, -68938, -682725, -877704, 0, -155156, 716718, 786526, 414890, 0, -1803174, -436434, 0, 1484468, 530597, -41169, -2025586, 0, 713310, 341148, 1232417, -271632, 0, -1109424, 345582, 0, -859358, 391697, 725118, 1000104, 0, 2250326, 991014, 943654, 1504468, 0, -795024, -97317, 0, -383298, -1185596, 1029429, -1361934, 0, 1453296, -183744, 444001, -188307, 0, -1132605, -85071, 0, -1671577, 252770, 3493944, 2370128, 0, -810984, 503886, -27059, -906511, 0, 1586919, 235773, 0, -481184, -1649355, 2624214, 707880, 0, 180714, 237597, -634250, -678125, 0, 1115463, 2011728, 0, -248666, -815489, 634455, -1228674, 0, 63852, -1118682, -121354, -552754, 0, 2350713, 602514, 0, 107591, -84217, 1106433, -29438, 0, -447762, -289749, -1649826, -816297, 0, 175377, -786447, 0, -56828, -81551, -4384365, -915506, 0, -1729820, -1050168, 170564, -19230, 0, -365685, 425262, 0, 975333, 903986, -2343111, -2935924, 0, -912204, 44985, 836460, 495915, 0, 526317, -815931, 0, 904596, 635992, -2502447, -2649092, 0, 55744, 1200906, -285153, -521758, 0, -980151, -1179531, 0, 595914, 711344, -535020, -429152, 0, -897540, 577212, 2262798, 770429, 0, -1791768, -2223009, 0, -267917, 54919, 162498, 47732, 0, 56464, -144318, 1230039, 816570, 0, -2335902, -225888, 0, -714043, 729213, 154593, 2616788, 0, 3671898, 503214, 1601526, 309938, 0, 113355, 467220, 0, -411942, -837701, 1590474, 1548996, 0, 891206, 991230, 968425, 1993661, 0, -583878, 103335, 0, 1303839, -718337, 2117034, 520536, 0, 990856, 595155, 1037771, 147479, 0, 1946643, 749790, 0, 238410, -586265, 2292078, 2183082, 0, 1157802, 724722, -343193, -536834, 0, 2232870, 1716570, 0, -178686, -1306843, -257490, -1817656, 0, 186460, -179517, -1212015, -85935, 0, 1029390, 1296354, 0, -311246, -647203, 1548471, -1359686, 0, -1083684, -213801, -1818962, -1171438, 0, 645894, 778059, 0, -221399, 194066, -2453811, 1323128, 0, -865228, -657456, -1397344, 71317, 0, -56055, 1632939, 0, 881377, 944973, -5877318, -1753136, 0, -1422456, -293781, -1704601, -265934, 0, -910377, -1729557, 0, -47585, -200130, -1541418, -3177788, 0, -1090500, -579015, -754112, 234965, 0, -636648, -1890222, 0, 1432229, 623160, -1046208, -216650, 0, 118900, -1182507, 1377509, -314668, 0, -2330334, -1418310, 0, 267733, -88503, 515439, -1720792, 0, 5185388, 893427, 2367364, 4035012, 0, -1577664, -501483, 0, 51814, -711931, -190821, -1258352, 0, 2781476, 1177788, 2568141, 1182242, 0, 139596, -72441, 0, -1095694, -1524194, 651219, 2176040, 0, 1452984, 1278918, -176908, -699299, 0, -493191, 16905, 0, 194057, -250971, 5187834, 1941202, 0, -1218424, -1245132, -523471, 456973, 0, 1715418, -351963, 0, -1423200, -1418825, 3164250, 1273626, 0, -811658, -940095, -1192109, -272673, 0, 1512177, 1540716, 0, -1256980, -584925, 1159512, 1309670, 0, 2266356, -2176161, -407511, -926669, 0, 2512851, 1221096, 0, -677717, -44425, 1874418, 1979384, 0, -2878388, -907215, -2156350, -1105205, 0, 1227117, 1471269, 0, 939444, -19543, -4381395, -1335528, 0, -3115036, 250407, -2082494, 205232, 0, 1010694, 967293, 0, -644481, 1574909, -2907723, -4594996, 0, -3482280, 625944, -889166, -509249, 0, 68289, -4038921, 0, 1380691, 2391896, -6278373, -2123232, 0, 633636, 1087308, -558903, 155407, 0, -609177, -1584780, 0, 1008011, 3032718, -367941, 3081688, 0, -1759844, 496323, 2911912, -39817, 0, -3891138, -1598253, 0, 1033044, 333443, -182463, 39364, 0, 3335588, 630570, 1096059, 1470250, 0, -2237106, -532395, 0, -315139, -77624, -539763, 3685436, 0, 2595676, 590616, 2251266, 307410, 0, 253779, 417777, 0, -906935, -1081700, 1648269, 2205424, 0, 2514310, 2368770, 894565, 452776, 0, 311013, 698466, 0, 635793, 1610584, 4864668, 7691148, 0, 2526010, -595668, -3123921, 1324516, 0, 2656377, 2481459, 0, 601740, -1434317, 5000910, -447580, 0, -939328, 1173219, 99557, -2236104, 0, 2260422, 1717560, 0, -179186, -31988, -250674, -1275208, 0, -4007034, -969282, -2334453, -1257861, 0, 1545675, 1595940, 0, 171794, -158445, 2604975, -2446612, 0, 1600378, -1251231, -926496, -3274594, 0, 2613933, -488667, 0, -2369979, -53951, -5557962, 1755408, 0, -12583080, -1307868, -2343680, -1821165, 0, -487647, 2098632, 0, -88780, 189166, -4414266, 43288, 0, -3524164, -1923819, -719848, 2753517, 0, -1196061, -1852065, 0, 830353, 1640806, -3268431, -5000568, 0, -1188228, -1202277, -1591790, 611519, 0, -2137161, -3404586, 0, 2539999, -251370, -2208210, -482372, 0, -1105408, -1432683, 1867383, 15999, 0, -7086270, -1803927, 0, 97499, -213751, 1144179, -5724442, 0, 5806450, 1061193, 806231, 1277664, 0, -3249012, -1406610, 0, -2572129, 586644, 1258542, 1255476, 0, 2036044, 3036120, 2567555, 443532, 0, 673221, 1204113, 0, 530379, -205586, 1875078, 1474490, 0, -1008662, 911280, -147034, 253806, 0, 84285, 3251772, 0, -1396614, -1511417, 10101018, 3182738, 0, -1091052, -558282, -851363, 2308181, 0, 7488294, -100935, 0, -1169364, -2399876, 3927150, -368218, 0, -1946706, 127212, -1622655, -1651429, 0, 1589721, 1288890, 0, -957442, -637422, 1175805, 1545904, 0, 929828, -1982715, 438843, -3591731, 0, 1583244, 1106640, 0, -1378401, 1605774, 1803477, -1401376, 0, 1095778, -241455, -3608676, -2034768, 0, 1676493, 2018925, 0, -2038418, 132841, -6764130, -2426768, 0, 3471800, -1210425, -815988, 2400159, 0, 1762197, 1391298, 0, 2019028, -2381679, -4600701, -1636, 0, 3128840, 931809, -87181, -486253, 0, 1532034, -3001059, 0, 2925559, 2988090, -7386177, 3900528, 0, 3357716, 549492, -312480, -290195, 0, -3596070, -1487319, 0, 1509617, 2748342, -231099, 2040178, 0, 776776, 659571, 4799390, -943461, 0, -2504994, -3336837, 0, -423969, -1425091, 1769391, -2076728, 0, 5754932, 1827717, 2416509, 560710, 0, -6055818, -2221887, 0, 71357, -633952, -394566, 5437970, 0, 1391942, -534948, 4742751, 251086, 0, 745221, 124707, 0, 1732566, -2026241, 2013708, 4697720, 0, -1389852, 3184542, 1435015, 765184, 0, 107895, 262623, 0, 9479, -1990224, 8795826, 6695352, 0, 1943722, -908223, -494715, 1620783, 0, 2654739, 2516031, 0, -1174008, -950331, 6505446, 487380, 0, -1683208, -1117515, -1546186, -906140, 0, 3182640, 2455170, 0, -3440160, -1215550, 33795, -1569454, 0, -2681704, 25686, -2050180, -2891893, 0, 566904, 4977942, 0, -402374, -163381, 4242576, 2446472, 0, -734606, -1146744, -2093188, -4623957, 0, 1400427, 2175963, 0, -1072248, -324367, -4213395, -2320512, 0, -12802232, -1197, -3846088, 25263, 0, 231351, 1584813, 0, 1665512, 464859, -8613129], "level_primes": [11, 13], "relative_dim": 452, "hecke_orbit_code": 1649334552387, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "newforms": [], "oldspaces": [[143, 21, 4, 2]]}