# Stored data for newspace 6031.2.a, downloaded from the LMFDB on 16 April 2024. {"label": "6031.2.a", "level": 6031, "weight": 2, "char_conductor": 1, "char_degree": 1, "char_parity": 1, "sturm_bound": 1038, "dim": 487, "eis_dim": 3, "eis_new_dim": 0, "cusp_dim": 517, "mf_dim": 520, "char_order": 1, "char_orbit_label": "a", "char_is_real": true, "trace_bound": 1, "num_forms": 5, "Nk2": 24124, "plus_dim": 219, "AL_dims": [[[[37, -1], [163, -1]], 109, 1], [[[37, -1], [163, 1]], 135, 2], [[[37, 1], [163, 1]], 110, 1], [[[37, 1], [163, -1]], 133, 1]], "analytic_conductor": 48.1577774590342, "level_radical": 6031, "mf_new_dim": 487, "char_values": [6031, 1, [816, 5218], [1, 1]], "hecke_orbit_dims": [1, 109, 110, 133, 134], "trace_display": [3, 4, 6, 0], "traces": [487, 3, 4, 485, 6, 0, 0, 15, 491, -14, 0, 12, 2, 0, -24, 461, 14, 23, -4, 26, 24, -16, -12, 0, 477, 18, 40, -8, 14, -16, -4, 23, -4, -42, 4, 433, 1, 12, -36, -46, 36, -60, -14, -24, 38, 32, -6, -8, 511, 1, -36, -26, -4, 28, -56, -28, -32, 18, -16, -32, 0, -8, -28, 445, -60, 72, 8, 110, -16, -20, -26, 63, -6, -7, 4, 36, 36, 36, -24, 78, 511, 6, 30, 12, 4, -68, -12, -48, 18, 14, -8, -68, 40, -96, 56, -60, -60, 43, 12, 399, 62, 12, -52, 34, -16, 6, 16, 76, 10, 72, -12, -20, 28, -12, 32, 18, 58, 20, 28, 112, 479, -66, -32, -124, 120, -56, -56, 63, 88, 0, 58, -16, 76, 76, -240, -154, -10, -52, 4, -80, 20, 68, -64, 377, 16, -22, -116, 7, 10, 144, -158, -96, 150, -124, -84, -204, -30, 36, -36, -106, 8, -65, -3, 42, -20, -112, -12, -212, 545, 148, -64, 52, 84, -92, 48, -136, -16, 78, -48, 210, 2, -120, -172, 64, -10, -140, 16, 124, 104, 80, 96, 16, 66, -18, 0, 425, -32, -16, -68, 205, 100, 134, -52, -156, -36, 100, 4, -98, 164, 112, 28, -82, -52, -120, -60, 20, 16, -122, 12, -164, -92, 12, 38, -56, 349, -130, 60, -256, -38, 0, -116, -6, 14, -22, -44, 4, 132, -96, 32, -20, -34, 71, 24, -86, 66, 0, -36, -36, -44, -72, 34, -116, -100, 232, -20, 301, 38, -12, -8, -224, 66, -4, -140, -140, -4, -72, -100, -12, -2, -124, 20, 306, 56, -2, -24, 64, -66, 4, -28, -80, 76, 56, 52, -260, -96, 24, -132, 191, 585, -16, 32, 26, 34, 36, -52, -15, -40, -230, 116, -40, -72, 108, -100, 128, 44, -246, 20, 164, 36, 32, 84, 148, 124, 58, -64, -160, 66, -16, -84, 58, 148, 76, -140, 613, -142, 3, -108, -18, 148, -172, -132, 112, 13, -220, 96, -108, -18, 81, -28, -136, 24, -16, -12, -112, -104, 130, 122, -32, 22, -232, -308, -28, 138, 48, -16, -122, 32, -28, -44, -34, 539, 182, -96, -112, 84, 108, -142, -292, 248, 2, -16, 104, -52, 44, -140, -192, 64, -68, 22, 552, 16, 24, -50, 120, 48, -66, -66, 66, 90, -36, -72, 435, 80, -238, -100, 140, -100, 172, -192, 223, 98, 28, 112, 334, 250, -44, -28, 432, -24, 224, -40, -244, -108, 204, -164, 230, 196, -32, 92, -236, 136, -228, -114, -198, 250, 56, 28, -16, -80, 60, 96, 72, -34, 208, 16, -42, 204, 192, -102, 88, 771, 316, -128, -36, -80, 160, -32, -504, 22, 125, -64, 102, 172, -128, 56, -64, 72, -206, 84, -96, 120, -424, 4, 46, -32, 22, 64, 30, 40, -60, -52, 224, 256, 140, -24, 132, -92, -232, 148, 96, -2, 58, -40, 513, -136, 80, -152, 62, -16, -358, 36, -100, 44, 108, 192, -56, 192, 204, 42, 460, 12, 80, -186, -108, -24, -16, -60, -332, -6, 40, -352, 315, -8, 54, 284, 428, 72, -4, -92, 160, 162, 142, -234, 352, 120, 140, 56, 80, 475, -140, 4, 168, -180, -52, 0, 84, 32, 78, -300, -816, 38, -204, 112, -218, 256, 360, 14, -158, 164, 48, -164, -368, -116, -58, 4, 44, -94, -284, -208, -24, -104, 358, 132, -196, -224, 140, 12, 132, 118, -660, -68, -460, -44, -468, 8, 5, -8, 109, -164, 376, 148, -192, -308, -86, -368, -246, -168, -600, 24, -16, 76, -33, 104, 344, -4, -94, -88, 148, -124, 44, 186, -68, -172, -148, 126, 200, -118, -240, -20, -224, 20, 522, -146, 524, 312, -312, 90, 12, 40, -260, -16, 332, 64, -296, 395, 78, -80, -34, -30, -192, -100, 32, 88, -98, 16, -240, -130, -208, -258, -130, 152, 304, -192, -12, -40, 36, 200, 59, -36, 410, -232, -3, -334, 12, -96, 350, -70, 264, -4, -448, 114, 0, -136, -164, -168, 9, -48, 236, -96, 180, 72, -260, -4, -202, 272, 423, 18, -116, -104, 136, -44, -176, -200, 188, 196, -188, 104, -180, 308, -244, 86, 202, -228, 68, -68, 72, 180, 34, -292, 136, -38, 64, -8, -356, 16, 86, -220, -188, -80, -320, -364, 430, 188, 116, -80, 96, -336, -208, -112, -106, -132, -301, 52, -446, 22, -672, 224, -532, 851, -12, 104, -200, 18, -8, -60, -16, -40, 6, -112, -6, -116, 16, 286, -552, 4, -198, 46, -260, -204, -932, -464, -176, 148, -48, 148, -392, 118, 180, -144, -252, 102, 24, 196, -144, -220, -148, 88, 108, 122, -224, 220, 606, 2, -548, -128, -98, 32, 42, 48, -316, 208, -112, 200, 277, 116, -268, -10, 162, 132, -444, 176, -716, 60, 334, 328, -540, -264, -248, -140, 141, 338, 170, 68, 136, 188, -328, 108, 146, -126, 714, 4, -36, -208, 36, 6, -492, -48, 2, -208, -60, -150, 540, 16, 352, -92, -400, 24, -692, 68, -180, 52, 242, 490, 84, -248, 184, -348, 80, -64, 372, 545, -90, 272, -536, -154, 96, -32, 6, -60, 414, -16, 296, 192, 152, 536, -116, 122, -512, 68, -480, -92, -100, 188, -108, -380, 94, 116, -168, 88, 92, -204, -2, -80, -364, 268, 224, -10, 16, 204, -520, 246, 263, 96, -204, -216, -276, -8, -24, -124, 132, -260, 172, -84, 328, 52, -488, -128, 90, 188, -301, 176, 268, -100, -262, -48, -116, -16, -156, 250, -36, -342, -564, -328, 90, 28, -106, -456, -356, -178, -108, 108, -138, -20, -116, -9, -56, -164, 38, 334, -356, 132, -166, -208, -64, 4, 178, -38, -60, -196, 272, 78, -328, 468, 192, 204, 4, -224, 272, 16, 192, -24, -472, 158, 590, 332, 104, -108, 64, 256, -848, 491, -6, 264, 174, 340, 244, 202, 275, 324, 284, -50, 120, -84, 144, 68, -70, -274, 12, -200, 518, 154, 192, -212, -312, -288, -228, 140, -240, 92, 316, -60, 124, -40, -316, 392, 332, 174, -148, -24, -356, 420, 116, 272, 308, -276, 148, 240, -648, 194, -4, 72, -88, -190, -24, -16, 324, 252, -174, -266, -548, 124, 284, 260, 93, 32, 16, -180, -174, -240, -136, 14, 164, -340, -24, -328, -64, -36, -136, -14, 76, 48, -90, -48, 254, 600, -240, -316, 272, 20, -892, 216, 148, 182, 76, 80, -364, 300, 259, -108, -116, 4, 648, -212, -332, -264, 508, 96, -532, 92, -148, 200, -280, -6, -348, -146, -194, 108, -216, -164, 296, 36, 106, 312, 212, -448, -260, -160, 654, 791, 916, -430, 176, 286, -36, -28, -738, -232, -226, 96, -968, -112, -16, 292, -92, -76, 520, -360, -70, 100, 56, 188, -20, -204, -150, 64, -284, 22, -56, -320, -136, -180, 264, 46, 238, 200, 28, 24, -632, -356, 292, -200, 92, -56, -636, -416, -252, -48, -494, -244, -288, -16, -316, -168, -316, 408, 12, 8, 176, -456, -68, 402, 315, -374, 170, -420, 499, -148, 268, -328, 232, 228, 448, 118, 28, 360, 108, -164, -406, 312, -1020, -452, -554, -124, -80, -414, 400, -16, 156, 634, -40, 170, -608, -208, -7, -432, -86, 436, -296, 204, -424, -404, -90, -78, -276, 28, 752, -20, -292, -492, -416, 0, 378, -492, -1144, -20, 336, 216, -224, 196, -118, -28, -512, 398, 196, -976, 324, 42, -848, -264, -68, 48, -316, 136, -918, 429, -622, -56, -160, -88, 64, -230, 620, 322, 98, -300, -88, -140, -236, -264, 236, 8, -100, 64, 320, -184, -60, 96, -344, -106, 235, 32, 138, 472, 120, 28, 214, 180, -42, 358, -780, 20, -176, 76, -244, -420, 580, -204, 146, -120, -476, -32, -348, -416, -198, 360, -364, -290, -360, -332, -66, -32, 454, -24, 352, 124, 104, -444, 320, 386, 120, -54, -392, -436, 188, 28, 669, -192, -600, -104, 390, 88, -580, -496, 15, 80, -174, 200, -824, -184, 152, -360, 262, -76, -290, 76, 620, 0, 276, -192, -1300, 42, 18, -348, -664, 432, -232, 108, -132, 276, -644, 420, -45, -248, -348, 184, -364, -488, -532, -76, 548, -146, 96, 4, -328, -76, 278, 252, -518, -12, -1044, -316, 109, 424, -510, -488, -176, -84, 316, -806, -44, 488, -20, 148, 328, -260, 340, 328, -392, 487, 80, 496, -376, -492, 408, -156, -636, 278, 48, 32, -1508, 158, -200, 296, 358, 688, -332, -116, 292, -388, -456, -32, 120, -208, 176, -900, 166, -96, -68, -178, -900, -196, -354, 216, -752, 220, 60, 8, -720, 94, -896, -108, -198, -214, -732, 352, -176, -228, 254, -280, 76, 86, -432, 118, -18, -552, -68, -28, -1076, -86, 624, -48, -492, 546, -708, 260, -616, -72, -776, -122, -90, -144, -276, 36, -63, -214, -476, 114, -318, 448, 194, -32, -612, 46, 108, -376, -1208, -172, -1093, -180, -44, -452, 328, -8, 120, -176, 654, -7, -348, 0, -880, -364, -268, 68, -776, 456, 10, 144, -212, 144, -54, -116, -1304, -360, 604, -428, 124, 348, -664, -200, -148, -300, -390, 630, -644, 16, -48, -372, -12, 344, -720, -60, 232, 72, -364, 428, -420, 72, 434, -236, -254, 488, -1096, 200, 244, 300, 204, 18, -788, -276, 114, 893, 562, -178, 520, 272, -108, 308, 198, 196, -172, 224, -344, -496, -80, -136, 312, -196, 112, -292, 556, -280, -248, 100, -398, -312, -602, 136, -888, -154, -674, 380, 722, 450, 40, 448, 670, 84, 128, 476, -900, 4, -424, 560, -270, -316, 180, -292, 503, 64, 652, 66, -272, 170, 536, 348, -162, 148, -504, 324, -230, 128, 292, 540, 236, 88, -68, -172, -214, 148, -224, 44, 656, 584, 66, 140, -592, -170, -46, 412, 55, 144, 510, -204, 718, 980, 88, -216, -24, -2, 344, 176, 116, -2, 8, -244, 850, -80, 12, 626, 298, 154, 344, 328, -1148, -312, 736, 338, -92, -422, -10, -588, 732, 88, 756, 84, 178, -10, -360, 48, 238, 152, 286, -260, -228, 384, -84, -520, -136, 472, 480, 160, -12, -28, -76, 432, 564, 318, -6, -544, -484, -64, 20, 112, 824, -30, -302, -92, 560, -88, 308, -264, 320, 424, 288, -344, 444, -292, 680, -44, -88, 531, -107, 136, 154, 132, -764, -652, -424, 16, 644, 292, 524, 282, 208, -76, -150, 82, -452, -474, 930, 212, -40, 568, 1216, -80, -246, 232, 260, 222, -308, 124, -492, -64, -290, -136, -36, 452, 58, -332, 256, -116, -312, 272, 200, 168, 124, 252, 244, -208, -416, -244, -146, 94, 132, -116, 320, -202, -4, 48, -272, 462, -64, 28, -310, 404, 482, 56, 242, -108, 1104, -496, -280, 94, -370, 580, 236, -384, -112, -176, 544, -196, 26, -6, 649, 12, -396, -108, 1088, 632, 160, 44, -264, 368, -480, 122, -4, -142, -844, -304, 498, 0, -416, 372, 492, 264, 244, 180, 344, 226, -720, -516, -912, -24, 724, -52, -262, 68, 292, 240, 365, 202, -464, -236, -1564, -330, -240, -148, -358, -148, 200, 684, 168, -39, 558, -312, 140, -436, 382, -276, -132, 28, 616, 148, -408, -94, -168, -92, 374, 420, 228, -342, -38, 500, 432, -52, -172, -60, -76, 640, 552, -152, -660, -148, 638, 92, 156, 310, -752, 97, -39, -196, 84, 12, 888, -800, 122, -288, 82, -268, -228, -6, -264, 148, 202, 1004, 812, -444, -160, 128, 276, -20, -1190, 98, 226, -568, 164, -74, -416, -112, 104, 848, -122, 364, -376, 164, -292, 72, 626, 140, -436, -444, 380, -204, -468, -20, 932, -20, 132, 420, -244, 610, -492, -36, 384, 388, 822, 164, -298, 272, -76, 492, -124, -210, 968, 432, 32, 460, -328, -324, 524, 224, 475, -148, -90, -40, 504, -314, 196, 232, 252, -352, 80, 152, -120, 160, 125, 340, -640, 184, -364, 216, -196, -260, 420, -16, 12, 124, 48, 440, 304, -124, -14, -40, 26, 132, -32, 64, 568, 100, -818, 14, -850, -112, 260, 304, -136, 92, -552, 412, -122, 340, -68, 206, 824, -244, -124, -144, 604, 776, 448, 32, -464, 664, -412, -4, -452, -248, 232, -296, 324, 280, 392, 6, -490, 308, 172, -224, 48, -234, 1236, 256, -380, 318, 960, 184, 276, 190, 392, 844, 644, 214, 32, 48, 122, 652, -512, -320, -94, 104, 872, 402, 364, 312, -96, 221, -554, 18, -28, -258, 252, -40, -732, 60, 298, -20, 154, -668, 352, 26, -332, 108, -102, 564, -868, 216, -68, 148, 303, 892, 54, 324, -1208, 532, 448, -68, -142, 370, -8, -72, 418, -378, -668, -8, 932, -464, 178, -152, -360, -328, -884, 188, 64, 228, -824, 450, 684, -288, -176, 28, 104, 150, 32, -92, 50, -72, 512, -86, -282, 68, -280, 736, -536, -388, -84, 48, 760, -78, 98, -312, 32, -224, 4, 296, -92, -272, 110, -126, -510, -44, 368, -22, 352, 266, -396, -636, -83, -168, 688, 14, -1012, -212, -498, -264, 1008, 276, 408, -100, 584, 12, -680, 316, -164, 176, 192, 872, 48, -242, -110, 184, 128, 300, -444, 288, 336, -556, -54, -256, -1160, -84, -380, 500, 330, 344, 408, 12, -292, -44, 890, 468, -68, -182, -560, -612, 22, 8, 388, 0, -908, -218, -124, 216, -360, 214, 588, -244, -274, -596, -61, -326, 644, -76, -412, -24, 1244, -108, 30, -400, -16, 176, 160, 52, 86, -276, 322, 456, -130, -224, 72, -596, -28, 272, -396, 182, -776, 278, -160, 90, -808, 317, 150, -136, -64, -530, -48, 124, 378, -496, 22, 184, 88, -250, -400, -424, -560, 534, 600, 568, -822, 496, 736, -104, -344, -464, 326, 368, -1532, -288, 432, 24, 140, -536, 556, 260, 516, 320, 388, 336, 226, -328, -180, 488, -176, 476, -1208, -300, 116, 2, -66, -186, 252, -308, -456, -228, 706, -772, 76, -264, 188, 284, 544, -316, 44, 246, -56, -912, 114, 56, 392, 250, -1288, 114, 24, -536, -240, 436, 764, -748, -708, 4, -116, -132, 224, 422, 24, 860, -196, 16, 340, -452, 392, -332, 452, 274, -179, 44, -210, 364, 82, 194, -132, -480, -39, 694, 60, -348, -20, -64, -12, -828, 458, -312, -212, -4, 944, 384, 200, -52, -492, -88, 204, -64, -440, 466, -56, -100, 358, -344, 912, -250, 336, -146, 40, -268, 58, -548, -44, 366, -12, 610, -24, 66, 180, 252, 416, -948, -156, -30, -60, 160, 100, -400, 414, 508, 1048, -472, -236, -536, -1, 4, 1536, -72, 294, -480, -516, 116, -368, -12, 514, 44, 356, 206, 296, 96, -110, 8, -442, 248, -600, 194, -24, 428, 16, 256, -24, -72, -36, 232, 496, 212, -356, 647, -14, -348, 282, 4, -364, 84, -200, 428, 36, 468, 396, -4, -668, 608, -912, -116, 888, 616, -558, -130, -924, -72, 432, 316, 294, 564, 664, 264, -68, -540, -1180, -396, -618, 120, -880, -112, -610, 824, 72, 578, 64, -120, 204, 24, 496, 536, 1214, -464, 661, 68, 94, -60, 1504, 492, 1616, -448, 66, 254, 92, -500, -100, -328, -288, 200, -1054, -720, -238, 264, 108, 56, 1004, 126, 378, -676, -156, -542, 972, -44, -720, 692, 548, 56, -348, -296, 300, 244, 188, 296, 184, -98, -116, -386, 936, -172, -552, 100, -682, -60, 1083, 78, -584, -558, -86, 476, 44, -200, -560, -72, -272, -72, -566, 540, -4, -144, -102, -240, 648, 92, -1024, 6, -424, 512, -676, 946, -752, -100, -24, 240, -20, 212, -176, 124, 144, -360, 510, -376, 1300, 292, 256, -140, 452, 908, -464, -752, -1300, -432, -518, -260, -484, -104, 48, -96, -342, 936, -1904, 242, 372, -148, -186, -424, -780, 244, 1084, -164, 56, 796, 1448, 192, 48, -32, 216, -140, 132, -624, -680, 256, -166, 274, 540, 128, 524, 568, 320, 24, 1212, 48, -104, -236, -88, 322, -245, -86, -598, -280, 292, -564, -408, -580, 858, 1393, 266, -464, 420, -80, 184, 108, 9, 326, -608, 204, -318, -336, -1036, 52, -352, -146, -212, 404, 92, -486, 4, 126, 354, -144, -180, 72, 414, 12, 754, 428, -564, 154, -628, 240, 88, 118, 128, 224, -964, 400, 930, -4, -274, 138, 1028, 34, -320, 636, -482, 168, -556, 60, 340, -124, -488, -398, -564, -422, -764, 656, -436, 24, 105, -260, -248, -240, -572, -40, 888, -360, 172, -560, 496, -348, -968, -418, -324, 84, 552, 308, -70, -212, -112, -4, -428, -668, 1188, 386, -164, 1120, 2, -84, -248, -656, -242, -916, 42, -338, 16, -38, -684, 1068, -233, 636, 648, 532, 290, 24, -68, -48, -752, -30, 580, -612, -1116, -288, -216, -418, 112, 28, 482, -340, 132, 370, -24, 0, -240, 178, -172, -292, -68, 864, 568, 240, 28, 804, 3, 456, -172, 20, -484, 124, -776, 352, -622, 108, 664, 38, 636, 156, -888, 48, 894, -732, 316, 12, -220, -596, -748, -48, -586, -332, 304, 64, -808, -340, 608, -96, 264, 18, 864, 100, -44, 44, 528, -474, 1244, -48, -404, -148, -400, -332, -380, -920, -536, 516, 380, 354, 320, -64, 810, -224, -172, 408, -1484, 284, -92, 220, 652, 110, -260, 148, 898, 264, -80, 268, 320, 395, -276, -440, 84, -256, 812, 332, -596, -28, -442, -572, 704, -736, -272, -304, -750, -568, 270, -568, 268, -140, 552, 100, -2028, 38, 668, -324, -702, 86, -4, -1020, -146, -92, 882, -380, -956, -156, -204, -156, 374, 56, 892, -668, 252, 482, 312, -132, -192, 82, -594, -140, 112, -454, 224, -156, -84, -1196, 182, 30, -200, 124, 216, -1008, -48, 354, 264, -88, -208, 544, 40, 828, 1122, -252, -496, 256, -132, 584, -96, -128, -345, 1136, -242, 124, 428, 496, -172, -404, -562, -206, 300, -324, -1150, -388, 524, 438, -20, 552, 74, -208, 800, 102, 88, 170, -480, -740, -354, 232, 773, -324, 272, -648, -596, -272, 772, -52, 124, 154, -752, -94, -296, 180, 52, -272, 1006, -496, 39, -832, -96, -120, -916, -148, -100, -332, 372, 60, -248, 1220, 484, -1048, 72, 440, 224, -540, 254, 162, 600, -512, 560, 242, 1032, -340, -82, 920, -338, 264, 780, 644, -484, 496, -164, -322, -1468, 212, 216, -104, -836, 428, -932, 20, 350, 60, -696, -284, 612, 108, 2, -496, 166, -328, -904, -60, -130, -96, 704, 256, -564, -120, 464, -71, 108, -290, -568], "hecke_cutter_primes": [2], "level_primes": [37, 163], "relative_dim": 487, "hecke_orbit_code": 33560463, "weight_parity": 1, "level_is_squarefree": true, "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": [110, 133, 135, 109], "newforms": ["6031.2.a.a", "6031.2.a.b", "6031.2.a.c", "6031.2.a.d", "6031.2.a.e"], "oldspaces": [[37, 1, 1, 2], [163, 1, 1, 2]]}