# Stored data for newspace 3822.2.ei, downloaded from the LMFDB on 15 May 2024.
{"label": "3822.2.ei", "level": 3822, "weight": 2, "char_conductor": 637, "char_degree": 24, "char_parity": 1, "sturm_bound": 1568, "dim": 3168, "eis_dim": 384, "eis_new_dim": 0, "cusp_dim": 18624, "mf_dim": 19008, "char_order": 84, "char_orbit_label": "ei", "char_is_real": false, "Nk2": 15288, "analytic_conductor": 30.518823652533364, "level_radical": 546, "mf_new_dim": 3168, "char_values": [3822, 84, [2549, 3433, 1471], [84, 74, 21]], "trace_display": [0, 0, 0, 0], "traces": [3168, 0, 0, 0, 0, 0, 0, 0, -264, 0, 8, 0, 0, -8, 0, -264, 0, 0, -48, 0, -8, -16, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -96, 0, -16, 0, 64, 0, 0, 0, 0, -104, 0, -8, 168, 0, 0, 0, 0, 0, -8, 0, 336, 0, 32, 0, 56, 0, 24, 0, 0, 0, 16, 0, 0, 24, 0, -16, 48, 0, -144, 128, 0, 0, 0, 0, 16, 0, 264, 0, 0, 16, -32, 208, 144, 0, 96, 0, 16, 0, 0, -40, 0, 0, 0, 0, 16, 280, 0, 16, 0, 0, 64, 16, 48, 0, -40, -48, 0, 0, 16, 0, -216, 0, 0, -56, -296, 0, 0, -72, 0, 56, 0, -16, 0, 0, 0, 176, 240, 0, 56, 0, 0, 0, -40, -72, -336, 0, 120, 0, 240, 264, -168, 0, 0, -80, 0, -48, -312, -24, 0, 0, 0, 0, 320, -56, 0, 0, 48, 0, -152, -96, 0, 0, 280, 0, -16, 0, 8, 0, 0, 0, 80, 16, -40, 0, 0, 0, 0, 200, 0, -8, -48, 0, 168, 0, 8, 152, 80, 0, 40, 0, 0, -8, 80, -8, 0, 0, -144, 0, 256, -32, 0, -48, 0, 0, 224, 8, 48, 0, -48, -32, -72, 0, -128, 0, 128, 0, -608, 0, 952, -16, 0, 40, -72, 16, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, -216, 32, 0, 0, 760, 0, -1176, 0, 0, -192, 0, 0, 216, -384, 144, 264, 0, 0, 0, -120, -64, 584, 32, 0, -448, -168, -48, 0, -120, 0, 424, 0, -80, 0, 160, 48, 0, -280, 0, -8, 336, 0, 0, 24, 0, -168, 48, 0, 1152, 0, 0, 144, 0, -32, -160, 0, 0, 0, -160, 0, -200, 320, 0, 8, 456, 0, -224, 104, 0, 288, 0, -16, -192, 112, -16, 0, -104, 72, -16, 0, 0, 0, -48, 0, -1200, -448, 96, 0, 0, -80, 0, 48, 296, 120, 0, 8, 0, -656, 48, 296, 144, 0, -696, -80, 16, 136, -32, 0, 0, 0, -40, -8, 984, -48, 0, 0, 168, 88, 704, 0, 0, 0, 0, 24, -352, 344, -80, 0, 96, 0, 256, 0, -120, 0, 24, 0, -112, 0, 88, -64, 0, 64, -456, 0, -808, -240, 0, -24, 0, 48, 0, 48, 0, 0, 776, -8, -168, 0, -128, 0, 304, 0, -72, 448, 0, -488, 0, 128, -456, 8, -96, 0, 0, -16, 0, 0, 80, 296, -448, 0, -112, 16, 0, -104, 168, 0, 256, 0, 40, 48, 184, 0, 0, -448, 0, -72, 952, 0, 0, 0, 0, 32, 0, -24, 1200, 0, -280, 0, 288, 0, 144, 0, -240, 0, 400, 0, -112, 336, 0, 216, 392, -32, 64, -8, 0, -192, 0, 0, 824, 32, 192, 0, 240, -96, -168, -264, -16, 0, -448, 0, 128, 0, 128, -688, 0, 0, 32, -72, 0, 256, 0, 0, 0, 320, 144, 0, -328, 0, 72, 0, 440, 184, 448, 0, -648, 0, -80, 48, 1104, 448, 0, 0, 16, -48, 1160, 96, 0, -56, 0, 24, 336, 0, 736, 0, -200, 768, 568, 0, -280, 0, -112, 0, -200, -32, 656, -8, 0, 0, -936, 0, 1104, 504, 0, 0, 0, -40, -784, 520, 24, 0, 136, 0, 728, -576, -112, 0, -16, 0, -336, -16, -368, -64, 0, 24, -920, -112, 0, -224, 0, -144, 0, -144, 0, 600, 64, 0, -280, -448, 96, 504, -80, 0, -296, 0, -16, 0, 0, 384, 0, -736, -168, 16, 64, 0, 0, 0, 0, -48, -448, -176, -448, 0, 112, -32, -1328, -240, -624, 0, -552, 0, -1368, -88, -736, -1352, 0, -456, -112, -144, 576, -624, 0, -280, 0, 16, -1672, -544, -1520, 0, -784, -232, -128, -280, -752, 0, -1312, 0, -104, 320, -312, 0, 0, -392, -448, -600, -232, -328, 0, 0, 0, -616, -608, -32, -1648, 0, -432, -408, 0, -8, -256, 0, 528, 0, -368, -112, -576, 32, 0, -192, -352, -632, -1232, 0, 0, -1056, 0, -224, 8, -336, -64, 0, -496, 216, -552, 8, 0, 0, 48, 0, 832, 112, 256, 0, 0, -240, 88, 0, 40, -96, 0, -216, 0, 0, 0, -8, -144, 0, -568, 80, -864, -760, -128, 0, 1120, 0, 848, 64, -120, -208, 0, 0, -104, -736, -48, 856, 0, 320, 0, -264, 528, -40, -720, 0, -824, 0, -216, 96, -664, 0, -72, 0, -280, 184, -96, 0, 0, 344, -48, -840, -408, 432, 0, 0, 0, 120, -560, 8, 360, 0, -144, -48, 544, 0, 1168, 0, 40, 0, 88, 0, 112, -592, 0, -16, 248, -152, -1032, 448, 0, -112, 0, -168, 1600, -408, 0, 0, 112, -48, -1136, 40, -368, 0, -760, 0, 416, 160, 128, 0, 0, -104, 8, 0, 40, 32, 0, 0, 0, 96, 0, -440, 136, 0, 112, 512, 0, -72, -528, 0, -1840, 0, -40, -32, -1000, -192, 0, -64, 448, 144, 344, 0, 0, -1288, 0, 0, 3032, -64, 368, 0, -168, 1064, -336, 16, -992, 0, -32, 0, 1160, 0, -2224, -16, 0, -344, 584, -48, 0, -416, 0, -416, 0, 0, 768, -784, 272, 0, -88, 0, 680, 96, 0, 0, -1088, 0, -784, 624, 136, 224, 0, -32, 1120, 48, 48, -192, 0, 48, 0, -96, 144, -816, 1072, 0, 424, -352, 8, -96, 88, 0, 448, 0, 216, -592, -336, 1680, 0, -672, 336, -88, -176, 0, 0, -464, 0, -160, -480, 16, 2304, 0, -464, 112, 616, 32, 704, 0, 488, 0, -1232, 48, -1120, 1760, 0, 0, 2176, 0, 48, 16, 0, 48, 0, 24, 336, -1240, -384, 0, -1072, 728, 16, 0, 80, 0, -592, 0, -352, 168, -896, 24, 0, -104, -520, 48, -72, 0, 0, 0, 0, 288, -384, -120, 2912, 0, -376, 32, -304, -192, 960, 0, 544, 0, 96, 24, 216, 704, 0, -200, -80, 16, 1928, 0, 0, -1176, 0, 160, 672, -216, -464, 0, 280, -72, 136, 0, 1144, 0, -24, 0, 784, 0, 1656, 288, 0, 552, -448, 0, -1472, 176, 0, 696, 0, 0, 272, -240, -104, 0, 520, -144, 336, -224, -64, 0, 1152, 0, -480, 0, -112, -1472, 0, -72, 136, -192, -560, 352, 0, 56, 0, -16, -464, 336, -80, 0, 2952, -240, 256, -480, -672, 0, 1720, 0, 0, 80, -208, 0, 0, 384, 224, 0, -864, 152, 0, -72, 0, 184, -960, 24, -600, 0, 192, -112, 2096, 280, -64, 0, 0, 0, -1184, 0, 232, 416, 0, -56, 424, 64, -1088, 24, 0, -208, 0, 72, -800, -120, -1168, 0, 960, 0, 1920, -16, -1216, 0, -848, 0, 672, -192, 0, 168, 0, 8, 1048, -56, -888, -432, 0, 0, 0, -32, 0, -8, 24, 0, 104, 56, 336, 0, -976, 0, -1600, 0, -352, 96, -280, -8, 0, 192, 432, 1456, 512, 0, 0, 224, 0, -40, -624, 120, 1904, 0, 272, -184, 2168, 0, -600, 0, 64, 0, -72, -240, -72, 144, 0, 88, 624, 224, 1216, 592, 0, -112, 0, -96, -1072, 144, 176, 0, 0, -16, -1824, 1800, 240, 0, -704, 0, 1088, 32, -8, 960, 0, 0, -1568, 1608, -408, 0, 0, 16, 0, -56, -1040, -376, 176, 0, -968, 256, 1120, 456, -1136, 0, -984, 0, 48, -112, -1016, 0, 0, -720, 0, 64, 2744, 1184, 0, 384, 0, -32, -3200, 0, -1048, 0, 48, 216, 1944, 704, -672, 0, -80, 0, 440, 128, 48, 0, 0, -16, -128, 264, 144, 1008, 0, 24, 0, 0, -2808, -768, 16, 0, -576, -320, -408, 768, 832, 0, -840, 0, -680, -2776, -744, -16, 0, 0, 328, 408, 312, 1712, 0, 72, 0, -152, 512, -16, -3808, 0, -640, 0, 72, -352, -368, 0, -1880, 0, 168, -864, 520, -48, 0, 24, -72, 1064, -1872, 528, 0, 560, 0, 336, -896, 32, -672, 0, -168, -40, -1616, 0, -2128, 0, 72, 0, 48, 0, -1848, -120, 0, 160, -832, -40, -320, 0, 0, -560, 0, -72, -400, -216, 1344, 0, -240, -40, 488, 96, 1296, 0, 768, 0, 48, 512, 0, 24, 0, 8, -200, -176, -192, 536, 0, 112, 0, -32, -112, 408, -1760, 0, 1960, -144, -120, 40, 696, 0, -72, 0, -792, -320, 608, -24, 0, -424, 0, -264, -496, 0, 0, -208, 0, 1680, 1584, 80, -40, 0, -568, 144, -2240, 48, -128, 0, -168, 0, 1152, 0, -224, -240, 0, 600, -96, -120, 0, -672, 0, 88, 0, 0, 2448, 504, 16, 0, 240, -504, -2552, 144, -280, 0, -656, 0, 1152, 688, -504, 0, 0, 336, 1072, -352, -920, -1232, 0, 112, 0, 2128, -112, 208, -1696, 0, 320, -64, 0, -336, -560, 0, -1568, 0, -32, 976, -80, -128, 0, 448, 144, 0, 200, 0, 0, 144, 0, 296, -32, 0, 448, 0, -328, 280, -728, 16, -1712, 0, 152, 0, 0, 16, 96, 0, 0, 728, -200, 0, 864, 864, 0, 192, 0, -752, 2464, 640, 0, 0, 1832, 0, -1200, 336, 448, 0, 1336, 0, -1040, -56, 672, 464, 0, 24, 1128, 152, -192, 0, 0, -80, 0, -496, 784, 1336, 0, 0, 168, -840, -336, 72, 112, 0, -1040, 0, -64, 1168, 1648, -144, 0, 1608, 720, -344, -1632, 0, 0, 1008, 0, -424, -576, 0, 424, 0, 0, -16, 136, 0, -832, 0, 2112, 0, -1928, 0, 712, 576, 0, -144, -392, 8, 184, 1384, 0, 1168, 0, 0, 680, 720, -48, 0, 32, 0, 0, 48, 192, 0, 1600, 0, -1192, -1064, 352, 128, 0, 256, 144, -64, -504, -80, 0, 64, 0, -272, -864, 0, 256, 0, 584, -144, 40, 544, -2352, 0, 928, 0, 360, -280, 704, 0, 0, 64, -720, 1120, -1112, -240, 0, -400, 0, -584, 792, 48, 752, 0, 664, 176, 824, 0, -104, 0, 1232, 0, -504, -96, -336, -384, 0, 672, -536, 32, 880, -624, 0, -120, 0, -32, -336, 8, -496, 0, 1760, 0, 352, -352, 0, 0, 1200, 0, -280, 72, 320, -1224, 0, 8, 616, 1120, -240, -256, 0, -496, 0, 24, 0, -32, -1280, 0, 1952, 2592, 608, 336, 176, 0, 2144, 0, 1120, 192, 280, 80, 0, 1536, -280, 560, -3792, 0, 0, -248, 0, -728, -176, 0, -1792, 0, 376, 8, 2688, 24, 928, 0, 16, 0, -16, 96, 1296, -2464, 0, 552, 2304, -8, -2120, -48, 0, 0, 0, 384, -496, -424, -80, 0, 2800, -280, 2184, -856, 192, 0, 936, 0, -88, 16, -176, -1104, 0, 384, 1120, 64, -32, 736, 0, 0, 0, 0, -384, 144, -928, 0, 1896, 392, -784, -912, 1040, 0, 400, 0, 120, 0, 840, 160, 0, -48, -984, 1872, 0, 8, 0, -48, 0, -96, -8, 1008, -2816, 0, 40, 1400, 1368, 144, 560, 0, -568, 0, 408, 8, 1320, 0, 0, 416, -800, -168, 1472, -96, 0, 0, 0, 48, -3984, 136, 208, 0, 1312, 0, 1248, 792, -224, 0, -1904, 0, -928, 8, 24, -224, 0, 0, -1184, -384, 1992, 152, 0, 120, 0, -32, -704, 600, 1216, 0, -1040, -1344, -72, -616, 1200, 0, 368, 0, 336, -1472, 112, -16, 0, -152, -600, -168, 2880, -240, 0, 144, 0, -568, -2240, 408, 2304, 0, -408, -1264, -792, 336, -1360, 0, 272, 0, 1352, 0, 0, -520, 0, -192, -1800, -136, 448, -224, 0, 1112, 0, 0, -3336, -80, -1120, 0, 1168, -832, -960, 296, 24, 0, 1688, 0, 376, -2320, 568, -128, 0, 160, -240, -72, 1320, -1256, 0, 0, 0, 192, -32, 360, -992, 0, -2296, -144, 136, -880, 32, 0, -768, 0, -784, 112, 864, -192, 0, 112, 0, -1944, -256, 0, 0, 96, 0, 168, -4552, -64, -3264, 0, -384, -1152, 1400, 136, 384, 0, 320, 0, -72, -560, -1384, -320, 0, -1992, -1936, 0, 616, 512, 0, -704, 0, -688, -912, -168, 80, 0, -2000, 24, -2984, -720, 0, 0, 1040, 0, -1144, -48, 1032, -1120, 0, 0, -1752, 640, -16, -880, 0, -608, 0, 56, 288, -264, -624, 0, -168, 456, 216, 0, 7776, 0, -336, 0, 16, -416, 504, 0, 0, 448, 400, 144, 984, 0, 0, 168], "level_primes": [2, 3, 7, 13], "relative_dim": 132, "hecke_orbit_code": 7696614952686, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 113, "prim_orbit_index": 55, "conrey_index": 73, "newforms": [], "oldspaces": [[637, 55, 5, 4], [1274, 55, 5, 2], [1911, 113, 73, 2]]}