# Stored data for newspace 39.4.f, downloaded from the LMFDB on 24 April 2024.
{"label": "39.4.f", "level": 39, "weight": 4, "char_conductor": 39, "char_degree": 2, "char_parity": 1, "sturm_bound": 18, "dim": 24, "eis_dim": 8, "eis_new_dim": 8, "cusp_dim": 24, "mf_dim": 32, "char_order": 4, "char_orbit_label": "f", "char_is_real": false, "trace_bound": 1, "num_forms": 2, "Nk2": 624, "analytic_conductor": 2.301074490223884, "level_radical": 39, "mf_new_dim": 32, "char_values": [39, 4, [14, 28], [2, 3]], "hecke_orbit_dims": [4, 20], "trace_display": [0, -4, 0, 4], "traces": [24, 0, -4, 0, 0, 44, 4, 0, -4, 0, 0, 0, -76, 0, -76, -272, 0, 296, 148, 0, -208, -224, 0, 36, 0, 0, -592, 264, 0, 0, -84, 0, 872, 816, 0, 0, -1440, 0, 368, 3288, 0, 124, 0, 0, 260, -1560, 0, -1084, 0, 0, 0, -2336, 0, -232, -872, 0, 1028, -1352, 0, -1064, 1960, 0, -652, 0, 0, -7664, 844, 0, 0, 1192, 0, 6984, -416, 0, 0, 2712, 0, 728, 6544, 0, 3116, 0, 0, 5204, -8304, 0, 3136, 0, 0, 0, 4036, 0, -4156, -6056, 0, -5956, -5232, 0, 1700, -840, 0, -3468, 0, 0, -11900, 2104, 0, 0, 1600, 0, 6152, -408, 0, 0, 4872, 0, -3352, 13792, 0, 18636, 0, 0, 10196, -18856, 0, -2540, 0, 0, 0, 11856, 0, -9364, -15840, 0, -14092, -19680, 0, 7380, -1752, 0, -3376, 0, 0, -22684, 14872, 0, 0, 26128, 0, 27376, -6540, 0, 0, 14680, 0, -14376, 11024, 0, 20776, 0, 0, 22880, -14076, 0, 8248, 0, 0, 0, 7960, 0, -11956, -23208, 0, -25268, -12708, 0, 1940, -5072, 0, -25820, 0, 0, -17936, 9144, 0, 0, 14544, 0, 22916, -20704, 0, 0, 9184, 0, -18772, 59656, 0, 24040, 0, 0, 19688, -41808, 0, 3972, 0, 0, 0, -5848, 0, -10352, -45560, 0, -14752, -41216, 0, 20016, 1136, 0, -8248, 0, 0, -54308, 28876, 0, 0, 35776, 0, 53560, 5920, 0, 0, 18648, 0, 7280, 46096, 0, 31864, 0, 0, 41672, -21528, 0, -12004, 0, 0, 0, 30972, 0, -17680, -19416, 0, -23944, -29232, 0, -9192, -23664, 0, -18672, 0, 0, -31736, -3080, 0, 0, 15640, 0, 25700, 2304, 0, 0, -12012, 0, -13696, 49072, 0, 16848, 0, 0, 7484, -59400, 0, -9356, 0, 0, 0, -22568, 0, -2152, -32400, 0, 4316, 14856, 0, -16, -14744, 0, 13556, 0, 0, -74240, 17736, 0, 0, -14328, 0, 56088, 7788, 0, 0, 30752, 0, -1092, 43120, 0, 61900, 0, 0, 22828, -41936, 0, 23440, 0, 0, 0, 7180, 0, -44392, -5616, 0, -11468, -33476, 0, -15844, 85984, 0, -9196, 0, 0, -49736, 25704, 0, 0, -8160, 0, 4812, -2328, 0, 0, 4024, 0, -2752, 51760, 0, -43304, 0, 0, 9708, -32184, 0, -6300, 0, 0, 0, 14488, 0, 34216, -16480, 0, 12104, -54992, 0, 5944, -32264, 0, 30000, 0, 0, -36320, 24012, 0, 0, -248, 0, 18972, -10112, 0, 0, -3040, 0, 67236, -54576, 0, 40060, 0, 0, -19108, 55312, 0, 15256, 0, 0, 0, 5908, 0, -52036, 67760, 0, -20916, 73000, 0, -20536, -15264, 0, -46980, 0, 0, 36940, -122816, 0, 0, -30032, 0, -26128, 1176, 0, 0, -51224, 0, -52780, 48072, 0, -33424, 0, 0, -8684, -58656, 0, -29288, 0, 0, 0, -62712, 0, 78608, -44216, 0, 32588, -19976, 0, 30376, 13240, 0, 31400, 0, 0, 65160, 65928, 0, 0, 18792, 0, -20276, 95220, 0, 0, 92448, 0, 24444, -110448, 0, 10264, 0, 0, -8204, 106068, 0, 6064, 0, 0, 0, 96336, 0, -21252, 104352, 0, -12292, 41916, 0, 16664, 42592, 0, -18968, 0, 0, 118936, -39032, 0, 0, 30756, 0, -103252, -131952, 0, 0, -110856, 0, -62632, -197488, 0, -178716, 0, 0, -38788, 97008, 0, -7284, 0, 0, 0, -91728, 0, 104068, -86080, 0, 66476, 141712, 0, -1012, -141240, 0, 69128, 0, 0, 124792, -1496, 0, 0, 4240, 0, -123320, -16688, 0, 0, -35808, 0, 78832, -34392, 0, 15832, 0, 0, -57972, 105856, 0, 45676, 0, 0, 0, 13680, 0, -79836, 145264, 0, 16772, -17216, 0, -45268, 108696, 0, -74920, 0, 0, 150304, -64496, 0, 0, -83376, 0, -125644, 72680, 0, 0, 19744, 0, -77896, -97784, 0, -104824, 0, 0, -100996, 172048, 0, -34736, 0, 0, 0, -42432, 0, 103128, 29296, 0, 33656, 69688, 0, 60072, -25936, 0, 93148, 0, 0, 197532, 50712, 0, 0, -40008, 0, -44820, 26572, 0, 0, -68832, 0, 55592, -186656, 0, 48712, 0, 0, -88820, 179620, 0, 42844, 0, 0, 0, 51436, 0, -31096, 262824, 0, 41584, 141004, 0, -43380, -80112, 0, 36864, 0, 0, 151072, -257840, 0, 0, -135944, 0, -184576, -14576, 0, 0, -177576, 0, -16848, -165792, 0, -342740, 0, 0, -150832, 29096, 0, -77612, 0, 0, 0, -127320, 0, 279424, -47896, 0, 144980, -12272, 0, -14720, 72760, 0, 142328, 0, 0, 129432, 190308, 0, 0, -60440, 0, -161172, 61992, 0, 0, 227768, 0, 236288, -218776, 0, -11228, 0, 0, -112432, 162144, 0, 21736, 0, 0, 0, 95680, 0, -108112, 245152, 0, 122012, 139368, 0, -167944, 142656, 0, -15700, 0, 0, 77168, -346112, 0, 0, -137640, 0, -175084, -88008, 0, 0, -136532, 0, -48484, -168352, 0, -242592, 0, 0, 6740, 31416, 0, -106452, 0, 0, 0, -273728, 0, 155720, 155080, 0, 82200, 291216, 0, 61044, -123696, 0, 147420, 0, 0, 26876, 29088, 0, 0, -200640, 0, 32076, 140396, 0, 0, -56064, 0, 190996, 35224, 0, 172768, 0, 0, -103304, 37932, 0, 114664, 0, 0, 0, 55336, 0, -64628, 279776, 0, -10832, -67320, 0, -30232, 180496, 0, 45172, 0, 0, 127648, 54336, 0, 0, -128204, 0, -144064, 112408, 0, 0, 38640, 0, -108544, -103744, 0, -359984, 0, 0, -124924, 83680, 0, -65304, 0, 0, 0, -65152, 0, 195016, -256472, 0, 142076, 39544, 0, 9264, 21512, 0, 72380, 0, 0, -25964, 19500, 0, 0, 117504, 0, -58916, 68016, 0, 0, -90672, 0, 176644, -208592, 0, 28840, 0, 0, -122128, 158592, 0, -40144, 0, 0, 0, 75900, 0, -101164, 261600, 0, 136712, 155712, 0, -143380, -449312, 0, -156448, 0, 0, 132424, -351752, 0, 0, -211280, 0, -74572, -120120, 0, 0, -368544, 0, -53508, 400576, 0, -107888, 0, 0, 6840, 39168, 0, -82532, 0, 0, 0, -145808, 0, -33784, -260072, 0, -33344, -225504, 0, -35712, 106624, 0, 158564, 0, 0, -12416, 411904, 0, 0, 231016, 0, 165488, 100780, 0, 0, 503040, 0, -30420, -12968, 0, 282964, 0, 0, 76432, 37872, 0, 159016, 0, 0, 0, 159568, 0, -111844, 202104, 0, -65204, 41152, 0, 90616, 588376, 0, -119000, 0, 0, 74392, -67208, 0, 0, 148300, 0, -58920, -253864, 0, 0, -270808, 0, -160704, -233504, 0, -37208, 0, 0, 23540, -158232, 0, 12768, 0, 0, 0, -207864, 0, 242764, -426768, 0, -42136, 56704, 0, 223276, -470272, 0, 56216, 0], "hecke_cutter_primes": [2], "level_primes": [3, 13], "relative_dim": 12, "hecke_orbit_code": 343664492583, "weight_parity": 1, "level_is_squarefree": true, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 6, "prim_orbit_index": 6, "conrey_index": 5, "newforms": ["39.4.f.a", "39.4.f.b"], "oldspaces": []}