# Stored data for newspace 1849.4.k, downloaded from the LMFDB on 25 April 2024.
{"label": "1849.4.k", "level": 1849, "weight": 4, "char_conductor": 1849, "char_degree": 84, "char_parity": 1, "sturm_bound": 630, "dim": 39648, "eis_dim": 168, "eis_new_dim": 168, "cusp_dim": 39648, "mf_dim": 39816, "char_order": 129, "char_orbit_label": "k", "char_is_real": false, "Nk2": 29584, "analytic_conductor": 109.0945316006144, "level_radical": 43, "mf_new_dim": 39816, "char_values": [1849, 129, [3], [110]], "trace_display": [-84, -81, -67, -35], "traces": [39648, -84, -81, -3860, -67, -101, -35, -14, 4189, -113, -120, -14, -75, -3192, -151, -15004, 4, -333, -3389, 409, -68, -466, 3527, -288, 11615, -65, 108, 708, -33, 5006, -2869, 712, 338, 145, 9868, 17638, 43, 1112, -1468, -1431, -1028, -148, -1111, -520, -1974, -46, 830, 2315, 22667, -510, -1676, 414, 203, 1034, 1156, 179, 1840, -1414, 2840, 499, -523, -1595, 2136, -57746, 2040, -2538, 714, 8361, 3417, 84, 1459, 77952, -1378, 2244, 89964, 2918, -1534, -5816, 1579, 3071, 36362, -48490, -423, -8426, -2032, -2862, 26448, 5286, 2110, 103498, 3427, -2299, 897, -33184, 4848, -2604, -58992, 127, 17695, 45366, 2131, -37533, -3589, -90096, -1821, 4083, -11668, 6346, 18097, -12956, 2249, 7178, -8092, 7671, -33041, 866, -2814, -1872, -8215, -9989, -120300, 1008, 7814, 3893, -5204, -9236, -3270, -88220, -6179, 13848, -5088, 11507, 12281, 5484, -2987, 148765, 36130, -7504, 1826, -106152, -2866, -46587, -3506, 73625, -25104, -8530, 102108, 9477, 8031, 41862, 5154, 27558, 4917, -71042, 13039, -21592, -349, -53372, -819, -8295, -195884, -5112, -4188, -109641, 66958, 9925, 897, -15118, 68665, -24464, 46683, -14674, 12962, 37424, 8314, -20226, 2880, 55930, -29298, -37830, 1077, 22293, -27136, -4490, -86629, 102794, 11369, 32626, -173463, 50819, -36551, -165346, 31042, 36316, 9213, -68241, 12905, 21442, -21910, -7263, -12871, 5660, -7801, 76102, -11558, 57664, -21766, 34271, 79888, 4524, 63910, 78612, -175572, -305376, -16013, 42228, 22340, 115687, -1810, 60822, -14553, 182896, -25642, 90322, 106555, 54813, -1506, 105465, -8619, 15349, -75246, 195015, 13698, -22839, -210390, -21414, 44672, 532692, 8829, -42329, 63961, -10066, 117820, -27609, 157104, -21330, 80331, -424541, -21671, -39232, 187944, 293699, 6550, 79982, -20263, -248316, -1532, -383453, 24356, -46580, -182201, -6098, -140771, -27452, -9661, 24416, -566503, -135168, -10786, -344174, -206189, -271499, 23729, -407128, 177410, -91398, -170057, 426108, -104086, -244950, 42304, 36689, 7008, 34690, 99901, -2565, -180520, -266803, 124746, 170684, -11916, -177492, -46794, 40418, -32672, 16656, 123118, -148440, 120070, -21116, -26577, -186597, 568994, 208152, 23920, 35256, -279296, 22036, -25628, -30669, -123, 653249, 108403, -186778, -142146, -130020, -38646, 182688, -295406, -6675, 165298, 555739, -241897, -23976, -4680, 42672, -127783, 261388, -11208, -189238, -20622, 15364, 184198, 16538, -1721, -229891, -376380, 734677, 5414, -58808, -2118, 197682, 15076, -703115, 647360, -42100, 420, -51082, 11193, -483531, -125867, -263916, -310538, -9695, 313432, 566429, 176601, 196984, -160925, 106498, -6882843, -18241, 328008, 28742, -118300, -236487, -15142, -683725, 408507, 50227, -187204, 1051095, -24031, 1072503, -7585, 127316, 359557, -451528, -9168, -65200, 185346, -164312, -18834, -35281, 69126, 959666, -57749, 60608, -73418, -167203, -13052, 26725, 9006, 31911, -60300, 980, -14901, -372310, 919258, 992836, 20071, 596181, 39206, -88879, 147347, -58306, 41206, 29584, 136, 29896, 391883, 463352, -14286, 244, 19985, 818, -32935, 292068, -71186, 33837, 91779, -1470386, -827, -320379, -292033, -59982, -34791, -390309, 39190, 355627, -187186, -515118, 18571, 206902, 936037, 18414, 279214, -30934, 8405, 651738, -420012, -40646, 723831, -347300, -29873, 61630, 710085, -19285, 21666, -23785, 196096, -18012, -10402, 579369, -1446339, 636824, 22860, 18449, 14045, -51214, -209935, -369662, 25235, 31862, -388342, -729720, 31710, -13812, 772180, -600054, -497772, -733438, 168299, -13986, 315177, -10159, 604394, 12805, 215147, -23271, 65528, 2366, 22473, -1266908, -1120338, -1278653, 143615, -193459, -59732, 1231186, 162858, -48725, -857493, 182045, 40966, 676879, -310091, 591794, -142554, -541718, -5805, -275417, -449023, -16471, -26264, -5740, -170178, 155226, -1249733, -97049, -343481, 395850, 309316, -12514, 315660, -467988, 111754, -103862, -210170, 635619, -41256, 731552, -56308, -1116528, 23082, -25798, -329126, 30155, 65745, 553784, -469807, 1787669, -348860, 1030592, 47304, 502719, 87530, 119150, 15679, 1903187, -33555, -31717, -69582, -247042, -741457, 900608, -20939, -501932, -410080, -5884, 1383941, -47359, -1046013, 34259, 85636, 264045, 428962, -1133774, -350425, -112088, 115326, 386184, 4102, 778821, 20018, -702528, 301138, -193777, -303540, 658717, 355113, -1537, 57547, 2989, -457964, 287062, 18061, -369047, 840602, -209012, -257620, -37970, 973998, 12715, 115358, 2268, -2213628, -1050699, 285504, 107574, 399556, -20690, 333724, 731450, -97923, -34536, -446924, 160394, -38135, 1076608, 510265, 200625, -73656, 128642, -63825, 1193616, -361567, 1127949, 132565, 2377320, 377032, 1916406, 190052, -402725, -43314, -25899, -13877, 173382, -305013, -1119771, 582401, -88914, -585698, -348450, 274960, 675629, -404253, -814305, -197100, -62945, 47595, -838914, -2003736, 100478, 510846, 33211, -62050, -406053, 26848, -21003, 445190, -182926, 448802, 39488, -38939, 1356559, -109578, 1125139, 50424, 1317783, 71711, 613342, 33246, -862038, -763100, -1599108, 1100909, -1502387, -374105, 684951, -395958, -6499, 675609, 936410, -1369000, -1475864, -229488, 726133, -753502, -1142157, 256192, 4333362, 1329790, 108086, -66030, 321414, 131554, 1091725, -564334, 675828, -158319, 1690226, 449635, 419609, -388052, -150246, 1165136, 1549226, -78944, -1241010, 516271, -494108, -108604, 148567, -1059425, -5219946, -170896, -656110, 232566, -1140817, 999769, -106667, 1863496, 539819, 74060, 1440082, 391479, 1094089, 356874, -850374, 1523590, -46939, -51243, -161798, 60450, -788289, 58805, 69875, -62857, -1365338, 1242751, -1955478, 435108, 28674, 95086, 138304, -442502, 1725464, -890186, 229024, 1113269, -62938, 220982, 1924390, 44958, -56889, -577155, -713741, 247002, -554886, 349668, 406239, -107121, 688707, -76077, -219937, 1509376, -220924, 1096912, -191045, -38415, -54524, 294122, -1821113, -789004, 862652, -106551, -824008, -803678, 322876, 197597, -541044, -71746, -2805361, 794838, 4334635, -69512, -189166, -1060114, -2109479, 68646, -17468, -1278062, 1481443, -230738, -297424, 1955963, -548572, 905797, 131775, -264030, -42800, -2635406, 286399, 190228, -525936, -1530247, 38573, 1216221, -185212, 621154, -1391311, 136271, -144826, 1303488, 2689796, 99915, -1188080, -733796, 1412824, -426652, 27807, 127149, 651735, 1327153, 139320, 363644, 694211, 1200920, -55711, 10618, -411531, 171068, -498080, 191280, -161510, 50711, 369516, 799962, 820148, -117498, 845290, 203509, -2994481, -1972476, -1073889, -1692426, 142533, -2742987, 484323, 83577, -932318, -16164, -318561, 785759, 1281696, -2085873, -381444, -135406, -168065, 345807, 168934, -35107, 1243480, 335854, 100195, -774529, 1123457, -292633, 2096544, 515617, 226108, -33619, 927728, -2070127, 222432, 53121, 288635, -170008, -891890, -1817098, -698595, 1549133, -940129, -744498, 83220, 560268, 881857, 124406, -262149, 1928844, 2896506, -170403, 724706, 21489, -1935075, -9297, -186524, 2165226, -38414, 769926, 8449439, -286175, -1061650, -196094, -66989, 17190, 26383, -957506, -2151286, -52770, 214130, 318169, 81599, -3297318, 3213388, 2689085, 57910, -814960, -1736847, 960336, -190154, -2239488, 142762, 715836, -1822651, 158420, -388693, -1899606, 1480189, 1169106, -1555311, 1241236, -1161989, 937705, -112093, -542544, -169526, 144154, -8655957, 1733239, 3955539, 133087, 517428, -48286, 1552402, -78480, 1002108, -3775218, -218184, 308844, -133623, -105881, 62530, -421626, -120745, 11098, 207472, 26587, -2311784, 501247, 809970, 665034, 2984774, 1415148, 4168904, -2691474, 527096, 320991, 382517, -1747028, -277695, 658279, -3672060, 1088091, -955153, -1840570, -3029768, 875224, -3490341, 1704107, 77478, 174141, -134987, 722900, -640880, 913472, -4134571, -972852, 138182, -37849, 6442115, 465976, 57486, 2473260, 89744, -584388, -2743542, 3009, 297871, -99342, -106673, 80085, 902479, 17336, -1331881, 881358, -2209636, 342063, 267538, -318846, -257067, 1969642, -897357, -39714, -80443, 264230, -2859748, -3531197, 3135256, 72806, -3124076, -679989, -5264198, -209096, 2760026, 360734, -1681018, -240466, -506324, 4491577, 1400245, -589795, 1614085, 1761565, -204646, 70969, 931020, -45266, 67169, 2238242, -909273, 2105038, 494892, -885019, -1015224, 6489189, 1802760, -159729, -2077324, -2803622, -4659918, 1251078, -1126926, -649572, -2793550, 524755, 6690360, -1131455, -2625410, 350563, 696030, -126128, -2881168, 213389, -13793, 632005, 18800, -5356, -3083811, -156302, 431364, -1570242, -768221, -954432, -2022073, -20498, 1432360, -224168, -103883, -1469135, 3047313, -536551, -1058497, -848949, 51614, 60112, 2628745, -33785, 424170, 45046, -636525, -487744, -304752, -1948891, 4745650, -679384, 3888743, -569128, 2439673, 1368120, 762560, 629420, 52260, 850292, -4727958, 1246695, 1866775, 134680, -1790527, 167400, -1729841, 167917, 2490292, 2685511, 3152094, -521564, -55659, -1374699, -10438172, 2201092, -225395, -124805, -75244, -206667, -97259, 450082, -2681383, 1713417, -5382046, 1397568, -104944, -2477627, 82888, 20946, -2387022, -485314, 201267, -3811920, -2427953, 618912, -394136, -359226, -3821823, -76046, -83726, -399434, 5302, -231156, -382064, 1064609, -5735930, 2824222, -979036, 207381, -146739, -1915068, 487282, 162158, 749757, -864561, 5324260, -136422, 70734, 28800, -651291, 158043, -691287, 8122368, 3226380, -2728143, 1901789, -1755338, 435780, 485982, 4277774, -4040708, 32876, 537989, 3094424, -3771134, 257654, -238306, 99744, -631608, 1406421, -801142, 856884, 1282786, -439708, 1721987, 1191811, 134409, -5563320, 1824046, 3542564, 2360666, -806380, 988013, 6722928, 585057, 6332562, 1298794, -967751, 3910037, 134724, 342612, -4122131, -1054837, -466783, -97033, -3531051, 1867498, -2458584, -1525261, 5436501, 2750599, -3820903, 29386, -4744770, -96262, -2109324, -4258088, 9312222, 16004, -2440158, 1362171, 5128054, -1896697, 5255179, 727878, 308178, 55685, 112481, -344362, 8202931, 690236, 718277, 129235, 878880, 919180, -2706294, -1818035, 6803601, -4100976, 601792, -156744, -849718, 4266833, -2008714, -937750, 200617, -583992, 5342999, 2811208, -212284, -258145, -1271999, -188934, -2682481, -530654, -14062, 181736, -1200704, 191592, 2784653, 2815211, -6434710, 236244, -2277592, 4407992, -2168263, 1454219, -6786241, 222748, -1561048, 2111436, -160836, 40852, 404959, 53409, -953631, 1350236, -7293, 2841426, -741872, 160059, 1095754, -3198761, -3598058, 1290480, 4031563, 1535625, -3340210, -984044, -1980834, -574461, 4795233, -751874, -4947102, 31711, -95834, 297112, 1535373, -3327030, 651290, 297800, 2294196, -1408948, 968059, 219334, -3586337, -2109460, 1448376, 2825705, 2829794, -127560, -1404816, 10821, -274587, 431142, -3581109, -2063407, 1888605, 2135329, 75336, -883406, -1673811, 7347158, 161468, 928669, 3185312, 1665957, -6406388, -35129, -3391368, -951928, -1116374, -976843, -2017828, 299012, -1509422, -2148734, -3635841, -432994, -1135714, 273227, 1065347, -305732, 1492154, -739214, 4698054, -1110255, 66550, 3411576, -2595015, -104084, -3633520, 471359, 3891635, -259662, -260840, -633623, -1676666, 22904, 1365493, -878027, -3628946, 567749, 5802191, 756302, -2288783, 1980770, 1124413, 1602218, -999767, 158110, -6945152, 91840, 168368, -542982, 2146651, -3188276, -604100, -2447736, -434731, -974051, 203857, -403535, 8583073, 2922829, -733574, -3664725, -1727336, -6615336, 390256, 968281, -182126, 877185, -3162989, -85875, -166385, -86647, -1898102, -61655, 2335491, -157609, -14382, -112109, 3456837, -532830, 972304, 2324418, -860116, 590872, 810290, -450682, 1792482, -5634993, -209190, 2825817, -1711141, -758016, 7268799, -251477, 290322, -150043, -1407999, 85785, -676280, -98336, -1511494, -1751278, -1586428, 395900, 2319699, 757160, -1208171, -3785080, 173980, 2355814, -670703, 100706, -4895138, 2132898, -734229, -2279660, 486712, 518521, 3801867, -4376191, 201524, 1077301, -893813, 415766, -3686886, 52033, -266895, 1812371, -8615255, 3886176, 5054842, 273001, 1486182, -758802, 1940880, 399335, 15249021, 569544, -5690153, -1183990, -232072, 2778755, -1936234, -2167510, 140577, -10832, -529290, -151340, -8559127, -1427618, 650240, -310673, 75726, 1030608, -253566, 155257, 2176036, 464260, -5664187, 6083191, 293786, -1037256, -5379416, -1555417, 2080076, -1461734, 1164640, 75857, 5357589, -620236, -1616875, 1529728, 5842151, 68682, 1970252, 666907, 3233266, -4606420, 1684999, 2828977, 176709, 1947535, -5788574, -1210833, -3799524, -1633403, 37738, 205758, -708837, 757205, -421236, 2877522, -2275562, -1588976, -2794644, -869142, -149780, -1502974, 3650670, -2808253, 6378443, 275714, -699765, -2541309, -154334, 1224800, 350455, -2738800, 14573242, -4829308, 3487390, 1031735, -3706420, 180624, -3597568, -570976, -2119605, 38149, 8656618, 387672, 3022179, -6265, 1309699, -187285, -3277782, -4153772, -530826, -851779, -534254, -1072469, -2563059, -8672261, -8334871, 1159413, 10867760, 47820, -4586514, -597812, 9913138, 166982, -7111560, -1312621, -196136, -12844325, 4165884, -1821885, 1460132, 1188970, -7156643, -142635, 2074085, 2182989, 6692954, -3719217, 1186766, 1697973, 206323, 3255372, -1559456, 1507224, 9797633, -9628, 5226934, -2502440, -1951553, -1139796, 3521769, -4882437, 1318829, 1754783, -1687457, 5467318, -5467382, 2016760, -144016, 1840788, -2863617, -234308, -136448, -1503283, -851960, -3937322, 4267242, 2032270, -3918815, -598285, -1186762, 4146118, 838039, 3786570, 1504165, -68207, 302257, -3090190, -6770495, 2601722, -241040, -6866, 2029973, -1161775, 5406282, -11268914, -3883129, 3132428, 3245992, 294254, -2190389, -955896, -5940966, 5360061, 469381, -1028708, 3348935, 2362949, -1172866, -398784, 397909, 227770, 1494066, 2858739, -4176232, -3293068, 2823016, 4557546, -777270, -5621615, 566707, -2737511, -3254709, -2056023, 2535675, 11106005, -9440280, -1739256, 1586511, 6646263, -4800982, -2718417, -6532008, 978556, -527925, -82444, 10949537, -7355152, -888952, 19075, 949454, -1389199, 4951150, 178734, -698239, -4279517, -2116949, -181314, 3109108, -2805600, 7461308, 941058, 1021603, 1060528, -1429248, -2446580, -318263, 332678, -758407, -2353368, -1804405, 1171656, -3022121, -1970016, 1373181, 208899, 1005408, 1203432, -2249066, -216209, 457530, 1267817, 359936, -2151359, 7137081, -6949198, -502252, 247540, 6112931, -1077962, -10651756, -2061812, -2682979, -4348586, 10254515, 201164, 3665594, -7750154, 1209659, -829895, -467533, -678834, 5086675, -1719384, -1544848, 1606875, -3206177, 1930277, -492376, 4643649, -2558323, 5970974, -857069, 256154, 1872182, 91714, -5823698, 1980516, 93998, 147398, -6890648, 2526174, -3769174, 1714120, -1657502, 878537, -75579, -3885311, 421616, -1207284, -649863, 1138304, 3884657, -3019258, 5141589, -289827, 494653, 139291, -5972171, 1811796, -10870236, 4239284, -17251213, 42487, 3865662, -896196, 1384416, -40184, 1606114, 10996003, -7666697, -2455198, 9275025, -763760, 3908623, -732019, 2599965, -2959440, -521393, 1113255, -16719037, -1933011, -12107691, -540976, -7004661, 4300918, -12190378, -2623304, -9652959, -2718952, -2317608, -152989, -4881799, -2950700, -3485141, -3020373, -13664686, -2536012, -2708005, -1359156, -5373606, -3146575, -8843512, 10928474, -21298654, 84769, -6302961, -5678220, 1396274, 5285963, -4060355, -336030, -3864022, -470664, -714810, 2409704, 2670020, 1301918, 17638, -630244, 7113410, 963947, 3698384, 202475, -15915260, 890442, 566762, -13220375, 8750484, 1454720, 1306584, 4962160, 10130209, -5457609, -155722, 2163437, 12086166, 1504565, -6020428, -3071421, 8328449, -29964, 12853148, 3478745, 5720, -2577538, 3255883, 3802142, 7431992, 6079114, 8121201, 8877138, 4670369, -522948, 4422882, -2437450, 10922165, 5582534, 4642280, 5682946, 4042784, -5328111, -10443628, -366984, 6972666, 1945992, 4395768, 7293673, 2645439, 5763660, 12474150, 1214211, -260452, 1878545, 3219592, 6408867, 4425005, 2181276, -65068, -2870469, -13654047, 3249143, 8300898, 1381958, 10652813, 2259130, 6342606, -4441347, 7603878, 1830865, 808665, 1064913, 3225054, -174429, 543196, 1196350, 11792482, 1004963, 2378433, -529133, 447534, 2892946, 8141583, 4553320, -4267529, 3282056, -213230, -310976, -407486, -2637459, -4671700, 2083924, -7763233, -1057417, -7917572, -1502398, -8628237, -2191300, -3445366, -207633, -9073202, -4274105, 130083, -1908698, -12163944, 731916, -13629912, 15101450, -6522919, -5044761, 492532, -2453411, -14205849, 10667593, -14765426, -706476, -13749048, -2728234, -5307541, -1110108, 3983656, -4072830, 3612142, 1220226, -5605337, 1246680, -1010482, 2727012, 4360582, -42220, -3556124, 6539934, -4449502, 6082222, 536208, -1322198, -7633190, -1653760, -7674121, 2943340, -4237962, 2153731, 6351159, -921734, 4064359, -2189268, -363412, 5551269, -4524540, 419125, -6614057, -310914, -5718756, -1143215, 4172628, -6513132, 8370377, 2363216, 4848361, -3662706, -9307264, 3692563, 924134, 293839, -948542, 418119, 4151612, 5205116, -625367, 8269940, 4118602, 6351484, 5847675, 5034935, -2580128, 2034222, -9231531, 7347253, 20165589, -4724132, 6321125, -6588026, 624218, 7688610, 4662658, -3606854, 3434720, 724954, 8930563, -6268829, -143718, -2804226, -6295728], "level_primes": [43], "relative_dim": 472, "hecke_orbit_code": 687261878073, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": true, "level_is_prime": false, "level_is_prime_power": true, "char_orbit_index": 11, "prim_orbit_index": 11, "conrey_index": 6, "newforms": [], "oldspaces": []}