# Stored data for newspace 50.6.a, downloaded from the LMFDB on 19 April 2024.
{"label": "50.6.a", "level": 50, "weight": 6, "char_conductor": 1, "char_degree": 1, "char_parity": 1, "sturm_bound": 45, "dim": 7, "eis_dim": 12, "eis_new_dim": 0, "cusp_dim": 31, "mf_dim": 43, "char_order": 1, "char_orbit_label": "a", "char_is_real": true, "trace_bound": 3, "num_forms": 7, "Nk2": 1800, "plus_dim": 2, "AL_dims": [[[[2, 1], [5, 1]], 1, 1], [[[2, -1], [5, -1]], 1, 1], [[[2, 1], [5, -1]], 2, 2], [[[2, -1], [5, 1]], 3, 3]], "analytic_conductor": 8.019190990649031, "level_radical": 10, "mf_new_dim": 7, "char_values": [50, 1, [27], [1]], "hecke_orbit_dims": [1, 1, 1, 1, 1, 1, 1], "trace_display": [4, -4, 0, 312], "traces": [7, 4, -4, 112, 0, 8, 312, 64, 221, 0, 814, -64, -114, 176, 0, 1792, -918, 3892, 5590, 0, 3284, -3312, -3144, 128, 0, -4152, 5480, 4992, -7890, 0, -9036, 1024, -24288, -13744, 0, 3536, 16902, 17360, -15168, 0, -32636, -11392, -13164, 13024, 0, -4912, -44448, -1024, 16599, 0, 47354, -1824, 44406, 680, 0, 2816, 33040, -37320, -10180, 0, 22514, 20768, 42376, 28672, 0, -2984, -10788, -14688, 70892, 0, 64464, 62272, 9666, -46984, 0, 89440, 28464, -112576, 140860, 0, -91633, 12648, 220476, 52544, 0, -153232, -233880, -52992, -245720, 0, -1696, -50304, -117968, 66496, 0, 2048, 224682, -2652, -504008, 0, 21914, -78912, -92664, -66432, 0, 53208, -318348, 87680, 164370, 0, -711556, 79872, -293574, -147240, 0, -126240, 563878, 285360, 594788, 0, 768021, 127928, 12552, -144576, 0, 285728, 39072, 16384, 502712, 0, 280764, -388608, -213120, 75256, 0, -219904, 126642, 511104, -47970, 0, -557336, -209472, -122808, 56576, 0, 452288, -713748, 270432, -1054450, 0, 1581564, 277760, 67986, 1002352, 0, -242688, 565662, -361600, -184428, 0, -1674376, -159836, 610716, -522176, 0, -138472, -536088, -182272, 2019841, 0, 721920, -210624, -476754, -1054560, 0, 208384, 756240, -364440, -237490, 0, -1022686, 1176928, -196328, -78592, 0, -413584, 173304, -711168, -2367460, 0, -1446036, -16384, 544506, 829096, 0, 265584, -1302858, -995376, -1998800, 0, 2077654, -307752, 950640, 757664, 0, -1556192, -2712, -29184, -182670, 0, -2237486, 710496, 1269072, -1428024, 0, 10880, -500496, -653320, 4137542, 0, 3789324, -932032, -341664, 45056, 0, 2802048, -918708, 528640, 2054510, 0, 652468, -597120, 1245906, 1543944, 0, -162880, 52000, 479136, 69280, 0, -1500636, 1637332, -234604, 360224, 0, -1030184, 3554040, 332288, -2134498, 0, 520314, 678016, -2296368, 22736, 0, 458752, -2113878, 2561024, -2536232, 0, -1697370, -1977552, -1476744, -47744, 0, 228720, 3916440, -172608, 2603190, 0, 2209764, -235008, -3095728, -1928784, 0, 1134272, -789018, 477680, 217592, 0, 1309014, -2255232, 32916, 1031424, 0, -3477504, 202944, 996352, -776121, 0, -3149636, 154656, 4557606, -3611544, 0, -751744, -3560640, 1714200, 25152, 0, -4652336, 2177408, -7545048, 1431040, 0, -246232, -1242708, 455424, 47272, 0, -1422636, -1801216, -677454, -1048424, 0, 2253760, -2973138, -328896, -1833480, 0, 818634, -1538112, 1783080, -1466128, 0, 3593848, 8634520, 202368, -4689392, 0, 1856214, 3527616, 2662846, 3346656, 0, 840704, 1286922, -2789988, 2404782, 0, 5455828, 302480, -3745440, -2451712, 0, -7167512, -2298828, -3742080, 2182650, 0, -3257880, -847872, 5889306, 8785280, 0, -3931520, -593136, -3254640, 3552420, 0, 4113757, 5366168, 15340268, -27136, 0, 7651216, 1279632, -804864, 5074942, 0, 4984584, -1887488, -1373754, 4456312, 0, 1063936, -4722780, -2325760, -8742190, 0, 6286724, -1123872, -5696544, 32768, 0, 8973968, -5195372, 3594912, 7981930, 0, -5552356, -42432, -601248, -14592104, 0, -8064128, -6488178, -1951840, 13903380, 0, -17351836, 1937408, 9599712, 350624, 0, -7024320, 2434344, -1262592, -17118580, 0, 14204394, -1482624, -2130720, -1263136, 0, -1062912, 7139920, -1010880, -6988610, 0, -5333586, 2337008, -10189104, 851328, 0, 8258016, 1819584, -5093568, -20586936, 0, 1800364, 1402880, 2303706, 9117152, 0, 2629920, 4693440, 6858944, 14133880, 0, -3802203, -2600592, -4619724, -11384896, 0, -16606912, -3664200, 1277952, 17449500, 0, -23884222, -4697184, -9503408, 10875536, 0, -2355840, 7135842, 5431640, -21250810, 0, 11816814, -3393024, -9058464, -2019840, 0, 6905128, 164412, 9022048, 10139388, 0, -576116, 4565760, -6115008, 3146640, 0, 9516608, 11249838, 4813440, -23195540, 0, 21856364, -7871992, 16956912, 12288336, 0, 9669008, -15562248, 2046848, 22737382, 0, 6498564, 200832, -1896660, -30272640, 0, -2313216, 4998384, 3888384, 20890300, 0, -35237496, 2528208, -12527784, 4571648, 0, -19779824, -27277212, 625152, 789570, 0, 21532924, 262144, -3044000, -14095224, 0, 8043392, 15609744, 5142496, 8276392, 0, 13933964, -1905960, 20235876, 4492224, 0, 22680848, 7254144, -6217728, -15976089, 0, 17636060, -3409920, 1663932, 24365320, 0, 1204096, 8745840, -5923080, 16471398, 0, 4235814, -2621152, -2601368, -3518464, 0, -41797824, -1538388, 2026272, 2372542, 0, -33735000, 8177664, -8292000, 25259336, 0, -767520, 6461982, -9514336, -4964728, 0, -302942, 12445608, 18096396, -8917376, 0, 31448728, -466808, -3351552, -20856860, 0, 3368964, -1964928, -5148528, -12980048, 0, 905216, -3815958, -7233332, -23744038, 0, 1116044, 7537088, -6337368, 7236608, 0, -1136232, -8515068, -11419968, 10620980, 0, -21891836, 4326912, 14777226, -48154040, 0, -16871200, -23795360, -20048736, -14630700, 0, -17392336, -14895872, 17091676, 25305024, 0, -28075984, 5589072, 4444160, -32998080, 0, -19372416, 1087776, 6096726, -1524024, 0, 16037632, -10525998, -13461376, 40365140, 0, 38286020, 1733568, -13162320, -3883008, 0, 38173448, -20392320, 9050592, -20381992, 0, 45597164, -5785600, -1095008, 28510856, 0, -2950848, 14524782, 13851360, -2113608, 0, -62337386, 13402368, 11080236, -26790016, 0, -45695880, 15565752, -2557376, 37078240, 0, -10393432, 9771456, 21331806, 47877680, 0, -8354816, 20303818, -515904, -8327830, 0, 2842214, -20481712, -10549008, -2215552, 0, 31007048, -28201680, -8577408, 60923192, 0, 82247228, -2916352, -16567254, -23605984, 0, 32317456, 12629622, 17217984, -43381992, 0, 24257624, 18746496, -18166284, 11550720, 0, -740000, 32821960, -3369984, 20524332, 0, -11465586, -7628064, -4445328, -26707704, 0, -16872960, -19116, 22241720, -6447548, 0, -26184986, 4680320, -9342120, 3334144, 0, -48241592, 30465744, 12099840, -53820530, 0, -55316520, -5831040, -5404848, -42592528, 0, -3799840, -29555040, 19956000, 124298740, 0, 48159984, -34094796, 10949992, -16362976, 0, 109940224, -3366168, 18830848, 10341491, 0, 639584, -3141248, -7966914, 63817856, 0, -1257472, -25715136, 4012104, -34933620, 0, -7969560, 11409888, -42065544, -6617344, 0, -33771912, 20501148, 2772864, -72449052, 0, -33156736, -11378688, -11834208, 69672240, 0, -37879360, -44256378, 9943280, -53090516, 0, 2858364, 3563648, -850560, -23136576, 0, 5068528, 47542440, -262144, 76838140, 0, 67651284, 8712096, 27737046, -8232496, 0, 13265536, -50232496, -9054120, -41925870, 0, -32770872, -10940832, -16486800, 4249344, 0, -28543584, 22270092, -20845728, -14524468, 0, -83003796, -15926016, 26859252, -77210104, 0, -31980800, 45998862, -13498880, -25502552, 0, -4248410, -9487032, -46956648, 33242464, 0, -23906304, 2168280, -4924032, -47481330, 0, -77759436, 15210240, -14849648, -85829168, 0, 12122624, -11452560, -19283800, 102106512, 0, 106849514, 55451328, 40170936, -24899072, 0, 113308160, 61068852, -43392, -19255490, 0, 36801224, -466944, 11203434, 71770520, 0, -2922720, -43238240, -18385200, 30809480, 0, -23823143, 23653208, 41632392, -35799776, 0, -73073312, -29924904, 11367936, -37204298, 0, 11333384, 20305152, -12257754, 123878752, 0, -22848384, -61179198, -20758272, 3716270, 0, -61830332, -29076192, -9229104, 174080, 0, 35624528, 4727732, -8007936, 132604620, 0, 57337424, -10453120, 88221586, -10406640, 0, 66200672, -27325938, -34110880, -26094588, 0, 129668814, -13639596, 53746476, 60629184, 0, -24778632, -20690328, -14912512, 5673928, 0, -24243266, -5466624, 5448480, -92120800, 0, 720896, 72900336, 12753480, -29779680, 0, 4287504, -3790944, 86287472, 44832768, 0, -71688784, 30612852, -14699328, -23730658, 0, -33570936, 8458240, -18196128, -20637424, 0, 32872160, -46060656, -1157760, 14397940, 0, 39236034, 17609208, -98908848, 10439488, 0, 23067648, -70064072, -9553920, -42336090, 0, 40237230, 19934496, -15858768, 20819856, 0, 24703104, 25139922, 16850176, -38243668, 0, -94173986, -52652992, -772128, -2606080, 0, -74240864, -12775668, 832000, -57235348, 0, -21991696, 7666176, 95002866, 64638024, 0, 1108480, 98274240, -20124480, 1933668, 0, -117102129, 66977488, -115212204, -24010176, 0, 57839456, 24137352, 26197312, 101981730, 0, 150700014, -3753664, -65897760, -128005584, 0, 5763584, 33045882, 46732544, -73783690, 0, -1357690, -9259632, -33397944, -16482944, 0, 31801680, 22335504, 56864640, 103042832, 0, -18289236, 5316608, -156461888, -49491648, 0, -34151968, -37975578, 30094160, 132637340, 0], "hecke_cutter_primes": [3], "level_primes": [2, 5], "relative_dim": 7, "hecke_orbit_code": 100663346, "weight_parity": 1, "level_is_squarefree": false, "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": [1, 2, 3, 1], "newforms": ["50.6.a.a", "50.6.a.b", "50.6.a.c", "50.6.a.d", "50.6.a.e", "50.6.a.f", "50.6.a.g"], "oldspaces": [[5, 1, 1, 4], [10, 1, 1, 2], [25, 1, 1, 2]]}