# Stored data for newspace 1600.2.bu, downloaded from the LMFDB on 20 April 2024. {"label": "1600.2.bu", "level": 1600, "weight": 2, "char_conductor": 400, "char_degree": 8, "char_parity": 1, "sturm_bound": 480, "dim": 464, "eis_dim": 128, "eis_new_dim": 32, "cusp_dim": 1856, "mf_dim": 1984, "char_order": 20, "char_orbit_label": "bu", "char_is_real": false, "Nk2": 6400, "analytic_conductor": 12.776064323404862, "level_radical": 10, "mf_new_dim": 496, "char_values": [1600, 20, [1151, 901, 577], [20, 15, 8]], "trace_display": [0, 6, -8, 0], "traces": [464, 0, 6, 0, -8, 0, 0, 0, 0, 0, 6, 0, -6, 0, 16, 0, -12, 0, 6, 0, 12, 0, 0, 0, 0, 0, 18, 0, -6, 0, -12, 0, -12, 0, -44, 0, -6, 0, 0, 0, 0, 0, 48, 0, -12, 0, 12, 0, -400, 0, 4, 0, -6, 0, 0, 0, 0, 0, 6, 0, -6, 0, -72, 0, 16, 0, -30, 0, -18, 0, 0, 0, 0, 0, 26, 0, 36, 0, 52, 0, 72, 0, 46, 0, 2, 0, 0, 0, 0, 0, -36, 0, -4, 0, 40, 0, -12, 0, 40, 0, -16, 0, 0, 0, 0, 0, -40, 0, -6, 0, 76, 0, -36, 0, 30, 0, -54, 0, 0, 0, 0, 0, 138, 0, 16, 0, 12, 0, -12, 0, 30, 0, 84, 0, 0, 0, 0, 0, -26, 0, 6, 0, -48, 0, -8, 0, -82, 0, -64, 0, 0, 0, 0, 0, 10, 0, -80, 0, -68, 0, 72, 0, -74, 0, -14, 0, 0, 0, 0, 0, -32, 0, -54, 0, -160, 0, -12, 0, 66, 0, -102, 0, 0, 0, 0, 0, -122, 0, 12, 0, -92, 0, -32, 0, 234, 0, -6, 0, 0, 0, 0, 0, -144, 0, -10, 0, 104, 0, -12, 0, 102, 0, -18, 0, 0, 0, 0, 0, -102, 0, 46, 0, 172, 0, -52, 0, 146, 0, -6, 0, 0, 0, 0, 0, 206, 0, 70, 0, 132, 0, -12, 0, 160, 0, -16, 0, 0, 0, 0, 0, 72, 0, -50, 0, 60, 0, 48, 0, 44, 0, -54, 0, 0, 0, 0, 0, 218, 0, -6, 0, 100, 0, 72, 0, 34, 0, -102, 0, 0, 0, 0, 0, -114, 0, 12, 0, -120, 0, -80, 0, -162, 0, 480, 0, 0, 0, 0, 0, -4, 0, 96, 0, -228, 0, -56, 0, -8, 0, -186, 0, 0, 0, 0, 0, -120, 0, 74, 0, -68, 0, -12, 0, 58, 0, 134, 0, 0, 0, 0, 0, -90, 0, 82, 0, -32, 0, -92, 0, -126, 0, -42, 0, 0, 0, 0, 0, 242, 0, 32, 0, 616, 0, -28, 0, 142, 0, 152, 0, 0, 0, 0, 0, 78, 0, -2, 0, -180, 0, -84, 0, -124, 0, -6, 0, 0, 0, 0, 0, -214, 0, -58, 0, -228, 0, 128, 0, -356, 0, -6, 0, 0, 0, 0, 0, -238, 0, -86, 0, -704, 0, -32, 0, -298, 0, -216, 0, 0, 0, 0, 0, -170, 0, -36, 0, -576, 0, -12, 0, -114, 0, -6, 0, 0, 0, 0, 0, -292, 0, -16, 0, 180, 0, -76, 0, 254, 0, -162, 0, 0, 0, 0, 0, -184, 0, 14, 0, -196, 0, -32, 0, 188, 0, 28, 0, 0, 0, 0, 0, -256, 0, -6, 0, 396, 0, 12, 0, 346, 0, -92, 0, 0, 0, 0, 0, -46, 0, -190, 0, -188, 0, 68, 0, -244, 0, -134, 0, 0, 0, 0, 0, 174, 0, -76, 0, -56, 0, 72, 0, -112, 0, 132, 0, 0, 0, 0, 0, 56, 0, -118, 0, -184, 0, 96, 0, -18, 0, 134, 0, 0, 0, 0, 0, -170, 0, 348, 0, -388, 0, 16, 0, -138, 0, -58, 0, 0, 0, 0, 0, 150, 0, -126, 0, 432, 0, 24, 0, 310, 0, -64, 0, 0, 0, 0, 0, -138, 0, 144, 0, 140, 0, 124, 0, -86, 0, -86, 0, 0, 0, 0, 0, 94, 0, -106, 0, 540, 0, -92, 0, -276, 0, 36, 0, 0, 0, 0, 0, 430, 0, 70, 0, 188, 0, -16, 0, -412, 0, -164, 0, 0, 0, 0, 0, 584, 0, -56, 0, -176, 0, 136, 0, -214, 0, 10, 0, 0, 0, 0, 0, 222, 0, -152, 0, -328, 0, 24, 0, -576, 0, 174, 0, 0, 0, 0, 0, -182, 0, -282, 0, -84, 0, -12, 0, -552, 0, -180, 0, 0, 0, 0, 0, -376, 0, -102, 0, -72, 0, -24, 0, -122, 0, -166, 0, 0, 0, 0, 0, -186, 0, -186, 0, -228, 0, 52, 0, -78, 0, 74, 0, 0, 0, 0, 0, 230, 0, 390, 0, 540, 0, 4, 0, 270, 0, 176, 0, 0, 0, 0, 0, 388, 0, -176, 0, 348, 0, -52, 0, 56, 0, -6, 0, 0, 0, 0, 0, 224, 0, 246, 0, 260, 0, 72, 0, -370, 0, 54, 0, 0, 0, 0, 0, 212, 0, -198, 0, 264, 0, -12, 0, 174, 0, -16, 0, 0, 0, 0, 0, -404, 0, 288, 0, -448, 0, -300, 0, -112, 0, 144, 0, 0, 0, 0, 0, 72, 0, -212, 0, 556, 0, -12, 0, 264, 0, 370, 0, 0, 0, 0, 0, 418, 0, 14, 0, 828, 0, 40, 0, 458, 0, 294, 0, 0, 0, 0, 0, 534, 0, 210, 0, 408, 0, -184, 0, 622, 0, 444, 0, 0, 0, 0, 0, 186, 0, 430, 0, 1104, 0, -12, 0, 392, 0, -222, 0, 0, 0, 0, 0, 474, 0, 162, 0, -212, 0, -132, 0, -106, 0, 384, 0, 0, 0, 0, 0, 1044, 0, 136, 0, 544, 0, -32, 0, -12, 0, 66, 0, 0, 0, 0, 0, 238, 0, -276, 0, -372, 0, 144, 0, -376, 0, 38, 0, 0, 0, 0, 0, -8, 0, -222, 0, 188, 0, -92, 0, 182, 0, -110, 0, 0, 0, 0, 0, -572, 0, -52, 0, 152, 0, -388, 0, 28, 0, 52, 0, 0, 0, 0, 0, -56, 0, 172, 0, 260, 0, -76, 0, 386, 0, 340, 0, 0, 0, 0, 0, 206, 0, -74, 0, 1060, 0, 276, 0, 338, 0, -522, 0, 0, 0, 0, 0, -294, 0, -86, 0, -136, 0, 56, 0, -290, 0, 124, 0, 0, 0, 0, 0, 106, 0, 308, 0, -360, 0, -8, 0, 104, 0, -32, 0, 0, 0, 0, 0, -434, 0, 420, 0, -1252, 0, 180, 0, 114, 0, 306, 0, 0, 0, 0, 0, -904, 0, 340, 0, -124, 0, -224, 0, 296, 0, 90, 0, 0, 0, 0, 0, -806, 0, 124, 0, -64, 0, -76, 0, 670, 0, 106, 0, 0, 0, 0, 0, -302, 0, -150, 0, 340, 0, -20, 0, 554, 0, -72, 0, 0, 0, 0, 0, 292, 0, -178, 0, -124, 0, -12, 0, 848, 0, 18, 0, 0, 0, 0, 0, 8, 0, 92, 0, 200, 0, 192, 0, 402, 0, -6, 0, 0, 0, 0, 0, 446, 0, -134, 0, 104, 0, -220, 0, -168, 0, 182, 0, 0, 0, 0, 0, -360, 0, 20, 0, -772, 0, -72, 0, -302, 0, -912, 0, 0, 0, 0, 0, -160, 0, -644, 0, -476, 0, -12, 0, -12, 0, 258, 0, 0, 0, 0, 0, -346, 0, -150, 0, -244, 0, 116, 0, 430, 0, -584, 0, 0, 0, 0, 0, -238, 0, -114, 0, -432, 0, -12, 0, -426, 0, 276, 0, 0, 0, 0, 0, 178, 0, -196, 0, 1344, 0, -28, 0, -28, 0, -532, 0, 0, 0, 0, 0, -406, 0, -66, 0, -1084, 0, 72, 0, -206, 0, 380, 0, 0, 0, 0, 0, -504, 0, 234, 0, -1000, 0, 108, 0, -814, 0, -122, 0, 0, 0, 0, 0, -390, 0, 424, 0, -1184, 0, -352, 0, -944, 0, 330, 0, 0, 0, 0, 0, -452, 0, 210, 0, -2384, 0, -324, 0, -366, 0, 188, 0, 0, 0, 0, 0, -886, 0, 106, 0, 548, 0, 108, 0, 162, 0, 378, 0, 0, 0, 0, 0, -1204, 0, -52, 0, -980, 0, 176, 0, 240, 0, -92, 0, 0, 0, 0, 0, -170, 0, -114, 0, 564, 0, -12, 0, 256, 0, 358, 0, 0, 0, 0, 0, -104, 0, 234, 0, -172, 0, 72, 0, -338, 0, 360, 0, 0, 0, 0, 0, 406, 0, 92, 0, -288, 0, 180, 0, -12, 0, -176, 0, 0, 0, 0, 0, 208, 0, 236, 0, -488, 0, -324, 0, -462, 0, -538, 0, 0, 0, 0, 0, -458, 0, -674, 0, -948, 0, 180, 0, -418, 0, -80, 0, 0, 0, 0, 0, 494, 0, 420, 0, 104, 0, -8, 0, 276, 0, -44, 0, 0, 0, 0, 0, 114, 0, -268, 0, 184, 0, -12, 0, -282, 0, 196, 0, 0, 0, 0, 0, 500, 0, 58, 0, 1264, 0, 52, 0, -592, 0, -70, 0, 0, 0, 0, 0, 958, 0, -202, 0, 364, 0, 320, 0, -672, 0, 38, 0, 0, 0, 0, 0, 982, 0, 94, 0, -400, 0, -12, 0, -430, 0, -12, 0, 0, 0, 0, 0, 856, 0, 6, 0, -292, 0, 64, 0, -922, 0, -262, 0, 0, 0, 0, 0, -216, 0, 702, 0, -140, 0, 276, 0, -1620, 0, 276, 0, 0, 0, 0, 0, -88, 0, 90, 0, -100, 0, 216, 0, -626, 0, 286, 0, 0, 0, 0, 0, -262, 0, 502, 0, -172, 0, 52, 0, 110, 0, -44, 0, 0, 0, 0, 0, 150, 0, -1016, 0, 1188, 0, -12, 0, 740, 0, -272, 0, 0, 0, 0, 0, 32, 0, 540, 0, 1308, 0, 0, 0, 116, 0, -210, 0, 0, 0, 0, 0, 920, 0, -610, 0, 468, 0, -248, 0, -66, 0, -330, 0, 0, 0, 0, 0, 442, 0, 228, 0, 752, 0, -372, 0, 356, 0, -218, 0, 0, 0, 0, 0, -356, 0, -1104, 0, -1576, 0, 300, 0, 34, 0, -720, 0, 0, 0, 0, 0, 346, 0, 374, 0, 956, 0, 180, 0, 470, 0, -732, 0, 0, 0, 0, 0, 486, 0, -442, 0, 772, 0, 632, 0, 1362, 0, -300, 0, 0, 0, 0, 0, 454, 0, -230, 0, 1496, 0, -112, 0, 1008, 0, -836, 0, 0, 0, 0, 0, 842, 0, -518, 0, 2164, 0, 156, 0, 506, 0, 458, 0, 0, 0, 0, 0, 1062, 0, -444, 0, -536, 0, -4, 0, -218, 0, -390, 0, 0, 0, 0, 0, 868, 0, -412, 0, 1508, 0, 1016, 0, -332, 0, -66, 0, 0, 0, 0, 0, 588, 0, 516, 0, -348, 0, -312, 0, -402, 0, -278, 0, 0, 0, 0, 0, 10, 0, 580, 0, 732, 0, 24, 0, 946, 0, 106, 0, 0, 0, 0, 0, -438, 0, 128, 0, 12, 0, -12, 0, 496, 0, 80, 0, 0, 0, 0, 0, 44, 0, -182, 0, 428, 0, 276, 0, 636, 0, -524, 0, 0, 0, 0, 0, 334, 0, 102, 0, 1220, 0, 72, 0, 682, 0, 666, 0, 0, 0, 0, 0, -714, 0, 234, 0, -528, 0, -488, 0, -66, 0, -188, 0, 0, 0, 0, 0, 184, 0, -288, 0, -44, 0, -492, 0, 276, 0, 42, 0, 0, 0, 0, 0, -556, 0, -822, 0, -964, 0, 108, 0, 1104, 0, -418, 0, 0, 0, 0, 0, -1114, 0, -310, 0, -768, 0, -224, 0, 842, 0, -52, 0, 0, 0, 0, 0, -1492, 0, -356, 0, 112, 0, 96, 0, 310, 0, -490, 0, 0, 0, 0, 0, -472, 0, 232, 0, 188, 0, 44, 0, 1532, 0, 286, 0, 0, 0, 0, 0, 6, 0, 174, 0, 932, 0, 264, 0, 1380, 0, -130, 0, 0, 0, 0, 0, 204, 0, 46, 0, -64, 0, -96, 0, 856, 0, -326, 0, 0, 0, 0, 0, 46, 0, 268, 0, 196, 0, -204, 0, -162, 0, -62, 0, 0, 0, 0, 0, -744, 0, 378, 0, -1500, 0, 100, 0, -794, 0, 1332, 0, 0, 0, 0, 0, -80, 0, 624, 0, -1156, 0, 268, 0, -216, 0, -482, 0, 0, 0, 0, 0, -778, 0, -98, 0, -580, 0, 124, 0, 326, 0, 676, 0, 0, 0, 0, 0, -746, 0, -6, 0, -1224, 0, 100, 0, -632, 0, -338, 0, 0, 0, 0, 0, -60, 0, 320, 0, 704, 0, 440, 0, 98, 0, 1124, 0, 0, 0, 0, 0, -260, 0, 140, 0, -1448, 0, 116, 0, -972, 0, -678, 0, 0, 0, 0, 0, -290, 0, -204, 0, -1620, 0, -560, 0, -1310, 0, 404, 0, 0, 0, 0, 0, -1424, 0, -726, 0, -768, 0], "level_primes": [2, 5], "relative_dim": 58, "hecke_orbit_code": 3161129485888, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": true, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 47, "prim_orbit_index": 31, "conrey_index": 81, "newforms": [], "oldspaces": [[400, 31, 21, 3], [800, 39, 41, 2]]}