# Stored data for newspace 392.3.k, downloaded from the LMFDB on 27 April 2024. {"label": "392.3.k", "level": 392, "weight": 3, "char_conductor": 56, "char_degree": 2, "char_parity": -1, "sturm_bound": 168, "dim": 152, "eis_dim": 32, "eis_new_dim": 16, "cusp_dim": 208, "mf_dim": 240, "char_order": 6, "char_orbit_label": "k", "char_is_real": false, "trace_bound": 3, "num_forms": 16, "Nk2": 3528, "analytic_conductor": 10.681226362923638, "level_radical": 14, "mf_new_dim": 168, "char_values": [392, 6, [295, 197, 297], [3, 3, 4]], "hecke_orbit_dims": [2, 2, 2, 2, 4, 4, 4, 4, 8, 8, 12, 12, 16, 16, 16, 40], "trace_display": [-1, 2, 0, 0], "traces": [152, -1, 2, 7, 0, -4, 0, -34, -202, 18, 34, -22, 0, 0, 0, 3, 2, -29, 2, 80, 0, 60, 0, 98, 302, 58, -28, 0, 0, 4, 0, -61, -34, -164, 0, -18, 0, -140, 0, 98, 8, 0, 176, -24, 0, 142, 0, -328, 0, 314, 154, -248, 0, -80, 0, 0, 44, 242, -62, 166, 0, 392, 0, 226, -48, 380, -302, 0, 0, 0, 0, 649, 82, -216, -84, 284, 0, -284, 0, 412, -392, 22, 488, 0, 0, -702, 0, -252, -46, -884, 0, -1332, 0, -420, 0, -80, 424, 0, -1336, -793, 0, 688, 0, -840, 0, 144, 82, -798, 0, -86, 0, 0, -144, 1188, 230, -116, 0, 1084, 0, 2276, -282, 756, 628, -30, 0, 0, 0, 391, -348, -802, 242, 1376, 0, -1672, 0, 966, -318, 198, -472, 0, 0, -452, 0, -483, 176, -1536, 0, -1208, 0, -1460, 0, 314, -352, 0, 2644, -1724, 0, -230, 0, -1608, 0, 886, -638, -1204, 0, -100, 0, 0, -488, 1904, -480, 1258, 0, 1740, 0, -364, 218, 1368, -702, -516, 0, 0, 0, 1490, 22, -1572, -962, 2644, 0, -2172, 0, 1948, 626, 534, -320, 0, 0, -1140, 0, -1213, -66, -1252, 0, 52, 0, -1622, 0, 516, -892, 0, -2640, -1376, 0, 634, 0, -2092, 0, 3836, 1450, -1870, 0, -618, 0, 0, -748, 828, 786, 2640, 0, 3360, 0, 1256, 594, 2168, 618, -726, 0, 0, 0, 1160, 818, -137, 2048, 2056, 0, -1388, 0, 1946, 548, 258, 456, 0, 0, -1580, 0, -293, -222, -2824, 0, -616, 0, -1942, 0, 222, 524, 0, 4012, -2872, 0, 2398, 0, -3192, 0, -1832, -24, -2100, 0, -1040, 0, 0, 1488, 2604, -1582, 396, 0, 1332, 0, 4342, -346, 2374, -1004, -448, 0, 0, 0, 338, 98, -998, -2176, 2608, 0, 552, 0, 1392, -582, 158, -2520, 0, 0, -2698, 0, -888, 386, -3688, 0, -5716, 0, -2290, 0, 924, 1188, 0, -4980, -985, 0, 2192, 0, -1840, 0, 5564, 2018, -1968, 0, 282, 0, 0, 2320, -665, 2548, -544, 0, 2084, 0, 3420, -1338, 1276, 498, 136, 0, 0, 0, 2854, -958, 250, 3584, 2872, 0, -252, 0, 1876, -1018, 804, 3264, 0, 0, -5634, 0, -1228, 976, -1684, 0, 3752, 0, -1458, 0, -658, -1760, 0, 1040, -1638, 0, 1168, 0, -816, 0, 4376, -3172, -1192, 0, 118, 0, 0, -1492, 22, -2138, 3210, 0, 4480, 0, -1046, 1810, 1494, -1280, -80, 0, 0, 0, 4422, -702, 1646, -5554, 60, 0, -8308, 0, 1088, -76, -446, -1496, 0, 0, 1138, 0, -4162, -1588, 784, 0, -7656, 0, -704, 0, -56, -2584, 0, -4608, 36, 0, -2550, 0, -4452, 0, 988, 562, -414, 0, -328, 0, 0, -2224, 3353, 3156, -2354, 0, -648, 0, -7036, 946, 978, 2606, -82, 0, 0, 0, 3836, 1062, -3800, 4626, 1576, 0, 2124, 0, 890, 2724, -1030, 3944, 0, 0, -1214, 0, -904, -416, -2784, 0, -2378, 0, -760, 0, 1638, 3396, 0, 9936, 3264, 0, 682, 0, 1776, 0, -2616, -4254, -972, 0, 302, 0, 0, 564, 1684, -4910, -2004, 0, -1932, 0, 7346, -706, 42, -2374, 640, 0, 0, 0, -2196, 114, -5368, -5182, 3044, 0, -3428, 0, -176, -738, 2158, -4736, 0, 0, 2334, 0, 4716, 1070, 48, 0, -404, 0, -266, 0, -676, 5132, 0, -10480, 214, 0, -1914, 0, 1204, 0, -5536, 5814, 472, 0, -66, 0, 0, 932, 2748, 2274, 2900, 0, 1968, 0, -6464, -1294, -870, 2274, -2144, 0, 0, 0, -591, -942, 4705, 7502, -3216, 0, 3756, 0, -430, -3120, -464, 2024, 0, 0, 7020, 0, -4336, -366, 2916, 0, 4480, 0, 1142, 0, -548, -3000, 0, 17608, -3034, 0, -696, 0, -4368, 0, 3388, -6400, 468, 0, -408, 0, 0, -1520, -5186, -3678, 522, 0, -3756, 0, 6776, 1460, -1056, -370, 788, 0, 0, 0, -6606, 1188, 4748, -7264, -6788, 0, -1460, 0, -864, -382, -8, -1496, 0, 0, -922, 0, 5837, -1266, -3800, 0, 17496, 0, 2584, 0, 812, -3488, 0, -16912, -1468, 0, 2040, 0, 7032, 0, -13260, -2336, 1908, 0, -156, 0, 0, -5648, -1948, 6676, 1267, 0, -4892, 0, 1860, 3834, -2002, 3682, 2000, 0, 0, 0, -6914, 848, -6140, 7538, 1712, 0, 5648, 0, -3864, 2532, 1442, 2916, 0, 0, -2170, 0, 7026, -1014, 7068, 0, -6192, 0, 2268, 0, -422, 5644, 0, 21440, 5360, 0, 3436, 0, 6008, 0, 8658, -6518, 4436, 0, 2410, 0, 0, 2336, -5118, -3596, -5186, 0, 2164, 0, -160, 186, -4028, -4094, -1416, 0, 0, 0, 514, -154, 8324, -9696, -5724, 0, 19960, 0, -1320, 1236, -3152, -212, 0, 0, -1312, 0, -1714, 3762, 9696, 0, 2876, 0, 3472, 0, -2248, 2088, 0, -14132, 3434, 0, -3106, 0, 432, 0, -956, 8084, 4160, 0, -2040, 0, 0, 8500, -9906, 6978, -36, 0, -7304, 0, -14612, -3104, -3546, 9050, 3358, 0, 0, 0, 2039, -2240, 1744, 7150, -11360, 0, -7748, 0, -5026, -3422, -1412, 3304, 0, 0, 5264, 0, -4132, 2948, -3740, 0, -9824, 0, 5612, 0, -154, -13960, 0, 5104, 7284, 0, -12456, 0, 8736, 0, -2960, 2288, 3700, 0, 1144, 0, 0, -2472, -3122, -7948, -7490, 0, -9908, 0, -6816, 906, -5136, -10518, 868, 0, 0, 0, 1956, -206, -90, -7518, 4520, 0, 19416, 0, -6880, -3670, -510, -5952, 0, 0, 3706, 0, 7634, -4128, 9904, 0, 4252, 0, 4724, 0, -3300, -3896, 0, -21840, 11820, 0, 9158, 0, 10332, 0, -1604, 9302, 2956, 0, 4928, 0, 0, 3456, 6352, 3168, -7727, 0, 2180, 0, 5300, -816, -6820, 8722, -1030, 0, 0, 0, -8028, 20, 2562, 11978, -9864, 0, -21524, 0, -3458, 9108, -1010, -3584, 0, 0, 10352, 0, 5872, -1630, 14324, 0, 220, 0, 5562, 0, -2744, 12776, 0, 28140, 2798, 0, -5230, 0, -744, 0, -25048, -6750, 6700, 0, -1856, 0, 0, 3760, 754, -7850, -1516, 0, -8884, 0, -22648, -530, -2838, -9508, 3484, 0, 0, 0, -7527, -558, 1822, -8430, -8920, 0, -8356, 0, -6640, 2418, -3906, -2652, 0, 0, 10848, 0, -12224, 1856, -1332, 0, 10240, 0, 5386, 0, 5656, 7236, 0, -27884, -10904, 0, -12248, 0, 8932], "hecke_cutter_primes": [3, 5], "level_primes": [2, 7], "relative_dim": 76, "hecke_orbit_code": 687245099400, "weight_parity": -1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 11, "prim_orbit_index": 11, "conrey_index": 67, "newforms": ["392.3.k.a", "392.3.k.b", "392.3.k.c", "392.3.k.d", "392.3.k.e", "392.3.k.f", "392.3.k.g", "392.3.k.h", "392.3.k.i", "392.3.k.j", "392.3.k.k", "392.3.k.l", "392.3.k.m", "392.3.k.n", "392.3.k.o", "392.3.k.p"], "oldspaces": [[56, 11, 11, 2]]}