# Stored data for newspace 19.6.e, downloaded from the LMFDB on 04 May 2024. {"label": "19.6.e", "level": 19, "weight": 6, "char_conductor": 19, "char_degree": 6, "char_parity": 1, "sturm_bound": 10, "dim": 42, "eis_dim": 12, "eis_new_dim": 12, "cusp_dim": 42, "mf_dim": 54, "char_order": 9, "char_orbit_label": "e", "char_is_real": false, "trace_bound": 0, "num_forms": 1, "Nk2": 684, "analytic_conductor": 3.047292576446632, "level_radical": 19, "mf_new_dim": 54, "char_values": [19, 9, [2], [1]], "hecke_orbit_dims": [42], "trace_display": [-6, -39, -6, -180], "traces": [42, -6, -39, 24, -6, -264, -180, 573, -105, -957, -240, 861, 2391, 669, 3543, 0, -3867, -12660, -1164, 5994, -2058, 5034, -1722, 6096, 4140, 2637, 858, -23280, 4563, 5886, 23841, 18219, 10965, 24912, -21570, -64785, -20064, -54648, -4776, -69882, -8415, 105357, -18195, 29841, 55725, 83112, 40761, 168777, -14349, 39594, -20385, -88755, 28239, -313761, -29322, -99618, -252564, 165324, -188352, -124164, -92676, -49884, 322200, 237975, 271482, 378912, 418206, 186078, 162690, -86157, -313254, -70230, -561492, 137451, -44658, -839910, -233994, -1055091, -93891, 150621, -53382, 742539, 297720, 892659, 660468, 844344, 217299, 549381, 147528, -747942, 342399, -1597476, -599751, -1213398, -1389501, 376554, -594912, 186957, 682629, -13575, 790641, 983679, 865062, 1541037, 709593, 271473, 706260, 640962, -871350, 456366, -1794135, -1658163, -1222782, -3682488, 803856, -1897335, 478569, 831276, -233859, 1667904, 434151, 1373127, 1011084, 1404819, 160638, 2048562, 402945, -361302, 712779, -2484702, -765960, -1162482, -1700955, 72036, -1439760, -312399, 518085, 406404, 1878267, 1985925, 1181595, 232494, 768483, 451701, 558987, -1067982, -2736939, 1314963, -1856499, -329559, -119532, -1506135, -1906140, -1714038, -224733, -1348542, -19206, 1707885, -343923, 332295, 1745880, 3726111, 977376, 45831, 1576389, -99399, -137616, -728541, 184719, -425430, 1397940, -101880, 489810, -414801, -909267, -605817, -522369, 1438233, 1593243, -918735, -701058, 1415571, -482643, -586134, -1031121, -1805331, 453609, 417882, 1206618, 200763, -2822274, 612768, -773643, -1060509, -549168, -3219480, -1136052, -4925655, -418584, -3034407, -2794548, -2692992, -1795140, 5007369, 1356474, 7039608, 3489756, 6461790, 7003533, 8566548, 4962297, 1017057, 3826944, 1391709, -1286481, -4118442, -2555778, -6262398, -4466292, -2732880, -764943, -2948880, 275766, -7325196, 3141711, -145908, -2497092, 4312011, -4747530, 1033584, 652296, -805677, -3233073, -9104961, -6054015, -3040569, -2789961, -5175222, -213855, -7453539, 3608649, 13855161, 3674082, 13991835, 8508813, 4915548, 9679971, 6725370, 13287990, -2354184, -2525280, 8071773, -8148966, -1370427, -5605932, -7252704, -14226831, -6465159, -3038181, -1064130, 1664235, -7371915, 7032090, -3642282, 7345950, 14158548, -14154180, 13172253, 4151940, -6460320, -3879831, -11348361, -10572888, -11810091, -3636324, -8502264, 481137, -7197036, 4431726, 12854292, -509913, 28064229, 8155710, -9593352, 19275687, 14380380, 11789889, 1712127, -955161, 3557127, -4357125, -7595988, -1554093, -17279916, -17104305, 977922, -4708740, -8319336, -4431774, 2278443, -3347886, 676929, 19388706, 15827277, -19794342, -5011824, -2359326, -3015507, -4940355, -14962878, -2683371, -16948551, -1409307, 16574433, -2625810, -2344746, 3706026, 3304800, 4589715, 22280715, 13564146, 18125832, 10735698, 11681592, 17577993, 5954709, 3134418, 635187, 8030256, 6395919, -1278237, -14323467, -14041713, 1591101, -593532, -15004764, -7959696, -29105523, -10656927, -6119637, -9445554, -3600060, -18384822, -6942837, -11694600, -23238174, -11719635, 2984160, -3212070, -12443280, 16369947, 3963192, -5933667, -9845241, 12191214, 21304911, 26426193, 9733386, 21440601, 11390370, 5583624, 21849024, 8589651, -4349193, 14415576, 35240232, 4139430, 13542024, 15466953, 2317047, 3190305, 7426758, 6444672, -10123968, -29768919, -748806, -22423491, -49227990, -2198742, -31340130, -32098176, -17459190, 5138952, -8899263, -10592163, 3079275, -6219546, 12341997, -5733255, 31297392, 1900854, 15953019, 7319691, 8703459, 2107698, -17827455, 4588152, -3860160, -3249633, 20921418, 3071436, -859779, 17447199, -23919999, 21432612, 11115399, 26665005, 30118803, -6030948, 532335, 27273357, -6331611, -23283903, 8697288, -49505415, -10237644, -56679894, -74383482, -35890422, -54367839, 18428298, 23394549, -5783283, 17434521, 8967600, 15922092, 50446494, 31826430, 9316821, 13381503, 48393918, -7750941, 30641835, 11779194, 1686543, -41791650, -7851030, 95405790, -10645014, 16297224, 394365, 33270984, 33368058, 26961735, 24376638, -21733995, -30929472, 19667637, 10755663, -17221617, -45543849, -35361279, -73472043, -37571580, -30857556, -83820456, -25044312, -75977436, -11011077, 5544426, -38327223, 26046468, -7894587, 26169804, 54321180, 61424952, -12468639, -166191, 15653916, -1643652, 30762285, -53381433, 16124598, 9469458, -11746485, 20081940, 3848118, -19901325, 41935749, 40191972, 14793246, 62399331, 34155402, 41394939, 29955453, 17823162, 30752931, -10344555, -15896139, -8608659, -41330739, -23640867, 7613550, -88724289, -46411758, -53655636, -14362758, -10960314, -3386820, 45713487, -380445, 13136325, 7814703, 82504992, 16180827, 23267742, 17766420, 5856288, -4890171, -39106506, -532824, -8776344, -29549919, 43178784, 2678736, -1013538, -11924727, -66427164, 16778544, 6424425, 34732320, 7108671, -8521083, -24915378, -6781926, -73318665, -68926950, 6139680, -73017744, -14634909, -635196, 5641176, 12622170, -76336230, -32756268, 29856102, -5483631, 6653688, 26391999, 17574126, 28336221, 86844732, 2134470, 8209440, 39018081, 66550209, 38065824, 76114698, 11775009, 12712308, 37686003, -26887356, 52872921, -15427665, -6870168, 83712354, 6787017, -2136159, 28913199, -96657483, -14955552, 29262894, 1464315, -62512443, -9332124, -57342255, -34108698, -46536246, -14105748, -14506080, -63192912, -33321147, 37002354, -60632439, -71570580, -26876112, -32539227, -45013671, 66994773, -33435099, -23771985, -16460103, 15566553, -22683519, 47945067, 32449389, 60835728, 48310716, 13028301, 67757436, 21498870, 42064950, 67225248, 56875161, 18813882, 79555089, -47203422, 6239532, 10913268, 32521881, -20155191, 72671589, -50579928, 14006433, 51416649, 2153592, -16986036, 29495766, -74018274, 36367287, -56591433, -57196326, -6637650, -73256013, -90141639, -78305061, -109285695, -129344925, -20226, -21327846, 35664000, 92101119, -57783648, 37296381, -16292757, -56229366, 104925435, 87206802, 84304593, 31129212, -67666188, -79894575, 27916656, -53317203, 2181426, -45444189, -106511268, -41580531, 44554014, -21630465, 30175359, 22926894, 31495785, 61728108, 42995736, 74544852, -8122938, 98836314, 65541612, 106307478, 97988313, -101833596, 13485171, -54139692, 32886639, 28887606, -26542440, -58361160, 40100028, 57918171, 50076816, 209098089, -20137971, 27963972, 59457690, -21609288, 16576830, -41467311, -30915255, 63239478, -89645256, -111825198, -29957928, -153399609, -136664832, -11771877, -60309162, -86173410, 15839547, -121018221, 49475598, 19609368, 57372624, 141922650, -78232074, 56842833, 17614737, -46012998, -124200438, -82840614, -90091692, -72398646, -39135213, -129949842, -86055543, -34818771, -23625702, 68871057, -9769365, 64657572, -6002727, 107699268, 68770911, -915636, 156817719, 26420364, 32305566, 62707836, -60814695, 33257400, -51221067, 94182552, 29430012, 42098265, -32166477, 55927947, 122124675, 59856687, 221450442, 36015018, 87404694, 62294697, 3042048, 116634738, 94448319, -138595452, 138018357, 20122632, -24948876, -82741890, -148558674, -167737053, 20900355, -79983033, -82994988, 43735554, -125709414, 92813364, 60358695, -59710422, 114917661, -24187164, 56038440, -70002744, -90397650, -217723284, -145847523, -127911267, -56491086, 58514229, -63531861, -131862354, -114819564, -78538704, -28137339, -33805125, -36586671, 220682013, 103861236, 133450506, 73648146, 115505343, -157811529, 121635981, 17669070, -83308266, 74326230, -76780386, -22355325, 100517544, 50453205, -46784754, -26052993, -15020505, 8713260, 182834862, 28418229, 138589206, 86826324, -96555630, 6891342, 31554864, -41084799, 138775329, -38306652, -107759619, -18424116, -267877590, -9646455, 13515045, 71950386, 73576344, 100511832, -139328085, 32413089, -18367206, -98104926, 93883029, 110895600, -54884601, 84198591, -61325529, -160302816, -33946989, -11127030, 24211500, 86834676, -150286692, -6787053, -32528874, -35405085, -47801232, 54072183, -126241731, 110506314, 192955008, 27819264, -38419422, -128575068, -27041619, 74349951, 115170336, 115420692, 116801760, -123176925, 75696039, 109552674, 65234034, -70295097, 185292846, 14077887, 145383414, 92045829, -169458324, 162779394, 118179351, -89765490, 86900592, -76651260, -60659385, 44349663, 111401922, -60660855, 55827963, -169594671, -52479159, -3218790, 40832220, -117113193, -169575009, -265190130, -146363004, -133154445, -347661432, -131985951, -131640600, -144093966, -31445361, -84120225, -307309680, -59474841, -89005002, 71652222, 59743737, 104300922, -137610759, 71600118, -92644941, 143437032, 284355888, 47051496, 164351943, -102375576, -52419570, 275746794, 195092949, 88930635, 195806295, 300126267, -99502215, 205576365, 172078764, 114361092, 272255295, 107070081, 84287913, 98439057, 59975109, 209778309, -34509732, -89827878, 28346658, -276405072, -131285874, -215583789, 127111713, 29695260, 87876891, 99304263, 41496648, -52881846, -77388249, -37049595, 118442799, -68155428, 53512494, -112739595, -219006864, -131925663, -137044083, -435633432, -178805046, 200869218, -93255711, -181890990, -57795858, -255471519, 172938627, 18597135, 229039872, 11503995, -99137283, -71154582, 218729679, -80339223, -131583441, 637734, -430455696, -141822048, 355392, -203404431, -105962472, -74475687, -73827432, 210382458, -75686181, -91951461, 143450052, 111075546, 376993275, 400526190, -52663434, 121660320, 148829370, 207561453, 356381256, 174609522, -218169054, 151777440, -71075406, 368326794, -179529114, 292513113, 10958007, 335000757, 345934182, 55833972, 151941090, -180346827, -26585961, 142269510, 219691287, -185174766, -234913335, -268183179, -753697902, -229540440, -329888220, -555149358, -322592700, -444118020, -73910454, 23105226, -303179019, 190586280, 12931143, 33177729, 500351532, 146183343, -121837782, -30789636, 356851545, -149388537, 339520749, -252674724, 298610709, 202946940, -395034072, 59000196, -109814820, -284076363, 427537341, 83065044, 409035978, 341390244, 199979988, 129432555, 195738687, 113803689, 61597143], "hecke_cutter_primes": [], "level_primes": [19], "relative_dim": 7, "hecke_orbit_code": 274978570259, "weight_parity": 1, "level_is_squarefree": true, "level_is_square": false, "level_is_prime": true, "level_is_prime_power": true, "char_orbit_index": 5, "prim_orbit_index": 5, "conrey_index": 4, "newforms": ["19.6.e.a"], "oldspaces": []}