# Stored data for newspace 1007.2.a, downloaded from the LMFDB on 24 April 2024.
{"label": "1007.2.a", "level": 1007, "weight": 2, "char_conductor": 1, "char_degree": 1, "char_parity": 1, "sturm_bound": 180, "dim": 79, "eis_dim": 3, "eis_new_dim": 0, "cusp_dim": 89, "mf_dim": 92, "char_order": 1, "char_orbit_label": "a", "char_is_real": true, "trace_bound": 2, "num_forms": 5, "Nk2": 4028, "plus_dim": 25, "AL_dims": [[[[19, -1], [53, -1]], 12, 1], [[[19, -1], [53, 1]], 26, 1], [[[19, 1], [53, -1]], 28, 1], [[[19, 1], [53, 1]], 13, 2]], "analytic_conductor": 8.040935483542935, "level_radical": 1007, "mf_new_dim": 79, "char_values": [1007, 1, [743, 267], [1, 1]], "hecke_orbit_dims": [1, 12, 12, 26, 28], "trace_display": [3, 4, 0, 6], "traces": [79, 3, 4, 85, 0, -8, 6, 3, 75, 2, 2, 0, 14, 0, 16, 77, 16, 27, -3, 6, -20, -4, -8, -12, 107, 2, -20, -8, -2, -16, 16, 39, 36, -34, -14, 101, 26, 3, -40, -10, 10, 28, 2, 28, 32, 12, 34, -28, 101, 41, -4, 2, 1, -56, -22, -8, 4, 18, -12, -52, 16, -44, 54, 69, 4, -56, 52, 2, 28, 28, -12, 23, 20, 2, -16, -3, -2, -12, 8, 46, 79, 26, -44, -24, 6, 16, -16, 36, -6, -82, -40, -12, 16, -44, 4, -116, 42, 99, -6, 119, -70, 24, 0, -18, -88, -3, 0, -40, 30, -120, 28, 72, -6, 4, -8, 22, 22, -40, -22, -100, 105, -54, -32, 44, -18, -168, -16, -17, -100, 0, 50, -56, -6, 40, 84, -30, 12, -84, 10, -116, -92, 88, 20, -15, 48, -98, 24, 162, -24, -64, 48, 3, 16, -24, 12, -148, 22, -40, -16, -50, -68, 43, 24, -66, -20, -100, 76, 0, 157, -184, -15, 80, -22, -68, -8, 12, 88, -10, 4, -90, -10, -92, 44, -52, 80, -104, -22, -16, -12, 14, -6, -96, 82, 86, -92, -19, 42, -76, 38, -31, -12, 98, -4, 20, 32, -20, -16, -66, -18, -308, -36, 7, 76, 12, 50, -240, 136, -62, -100, -52, -52, -104, 28, -104, 143, -38, -108, -24, -12, -160, -76, 30, 24, -10, -2, -248, 20, -136, -42, -280, 34, -73, -156, -110, -94, -224, 2, -156, 56, -152, -154, -94, 112, -74, -132, -35, 74, -150, 28, -192, -130, 48, 38, -54, 6, -4, -20, 136, -50, -132, 0, 48, 212, -22, -28, -172, 48, 44, -4, -36, 2, -54, -66, -8, 8, -56, -60, 315, 179, -52, 20, -34, 54, -34, 60, 110, 100, 70, -24, -16, 34, 16, 36, 9, -54, 138, -28, -18, 52, 8, 66, -152, 82, 98, -34, 64, 38, 12, -32, 142, -96, 32, -12, 167, 82, 8, 144, -98, -34, 32, 28, -20, 106, -240, -8, 32, 106, 61, 12, -48, -96, 9, 30, 76, 100, 154, 70, 176, -8, 8, -44, 80, 26, 204, -168, 162, -48, 136, -102, -74, 79, -48, -108, -24, 10, 144, -108, 4, -74, 4, 8, -84, 150, 32, 228, -100, -44, 176, 76, 34, 4, 28, 8, -98, 170, -2, 142, 230, -12, 164, -28, 75, 116, 74, -124, -20, 64, 92, 32, -13, 90, 36, 48, -30, 168, 216, -196, 166, 170, 52, 64, 132, -212, -88, -72, 50, -64, -20, 16, -244, 30, 92, 70, -3, 18, 320, 130, -168, -92, -164, 52, -276, 222, -98, -80, 42, 4, 4, 80, -156, 137, -104, 126, 8, 36, -56, -64, 224, -46, 377, 212, 102, -204, 44, -4, -28, 220, 246, -92, -172, 132, 74, 54, -202, -80, -6, 118, 118, -152, 264, 80, -92, 106, -76, -39, 48, 13, 92, -140, -340, 24, -86, -28, 65, 52, 8, 100, -134, 64, 10, -188, -158, 116, 34, -198, 168, 36, 168, -66, 28, -64, -120, -164, -272, 136, 136, -112, -128, 98, 288, -42, 251, 4, 70, -128, 136, -6, -104, -240, 280, -54, -210, 84, 90, 168, -24, -268, 108, 95, -10, -36, -60, 100, 216, -40, 380, 116, -10, -140, 132, 160, 96, 76, -338, 16, 68, -144, 138, -8, -136, -42, -20, 188, 54, 56, -112, -96, 270, 44, 76, 12, 238, -168, -224, -4, 264, 42, -48, 10, 32, -12, 0, -56, -168, -192, 145, 32, 169, -76, 408, -100, -208, 12, -278, -184, -50, -250, 244, 16, 212, -116, 446, -34, 90, 82, 206, 172, 64, 148, -112, 118, 48, 232, 116, 166, 260, -140, 39, -72, 220, -204, -230, 136, 28, -420, -96, 252, -80, 104, -172, 68, 164, -48, -204, 351, 418, 20, 38, -32, 112, -134, 146, 108, -118, -96, -12, 46, -80, -284, 26, -98, -4, 146, -56, -60, -38, -206, 159, -164, 434, 144, 320, -20, 12, 86, 66, 240, 240, -60, 292, -26, -120, -4, -260, -18, 502, -140, 440, -296, -132, -38, -74, -26, -142, -472, 211, -6, 20, 92, -140, 12, -20, 64, 9, -22, 192, -56, 280, -26, 336, -150, -74, -26, -8, -62, -316, 208, -78, -132, 192, 26, -208, 10, -120, 72, -122, -220, 312, 10, -300, 200, 82, 132, -106, -144, 176, 112, -60, -274, 354, -144, 3, 84, -238, -14, 52, -86, -196, -93, 76, 182, 4, -6, 260, -288, -180, -116, 114, 102, 368, 56, -4, -60, 60, -126, 54, 56, -168, 224, -216, -224, -328, 144, -128, -188, 288, 164, 286, -228, 78, 60, -84, 180, -204, -134, -40, 32, -72, -64, 20, -72, 26, -138, 44, 188, 166, -180, 62, 42, -16, 76, -28, -4, -87, -28, 404, -136, -114, 32, -180, 52, -216, 260, -14, 8, 72, 242, -56, -198, 57, 30, -158, -46, -314, -140, -176, -156, 342, -8, -202, -72, 12, -44, -204, -184, 108, -42, 58, -532, 0, 384, 72, 86, 60, 244, 20, -200, -24, 194, -76, -84, 74, 226, -56, 60, -16, 216, -84, -208, -492, 73, -34, 140, -192, -312, -132, -32, 31, -20, -90, 40, 478, -54, -152, 68, 112, -182, 408, 94, 28, -56, 216, 44, -716, 216, 454, -208, 460, -160, 288, -188, -446, 466, -40, -234, 48, 86, -264, -404, -772, -36, 43, -158, 88, -136, 92, -220, -104, -28, -336, -118, 96, -42, 40, -144, -256, -28, -222, -124, 459, 10, -42, 24, 98, 84, -412, 96, -200, -290, 256, -8, 20, -148, -290, -388, 246, -18, 52, 28, 88, -68, -398, -12, -492, 334, 356, -176, 78, -50, -12, 19, -398, -136, -100, -506, 150, -44, 60, -440, 332, -186, 88, -84, -312, -364, 60, -12, -284, 80, 41, 260, -264, -14, -21, -306, 140, -420, 252, -122, -1024, -5, -316, -152, -250, 64, 192, -60, -305, 72, -4, 60, -336, -70, -184, -620, 150, 230, 292, -328, -486, -378, 392, 84, -236, -96, -132, -356, 46, -420, -820, 16, -472, 348, -164, -582, 468, -48, 380, -552, -360, -80, -60, 20, -196, -500, 200, -29, 174, -50, 648, -116, 448, -96, -352, -268, 108, 162, 222, 56, 540, 78, -296, -276, 57, -194, -24, 232, -2, -48, 200, -120, -428, 230, 204, -152, -16, 46, 468, -60, -236, 152, 306, -154, -110, -74, -192, 100, 112, 100, 344, 224, 296, -158, 8, -72, 692, 124, 159, 0, -38, -272, -160, -336, -30, 76, 380, -244, 356, -184, 28, -538, 240, 276, -240, 128, -90, -76, -300, -112, -276, -12, 10, 4, -332, -148, -40, 366, 154, 89, 16, -8, 100, 366, 140, 180, -74, -14, 14, 112, -108, -224, 10, -170, -148, 4, 184, -60, 246, 164, 100, 120, -280, -4, -162, -56, -4, -138, 80, 44, -468, -8, 82, 344, 226, -318, -168, -268, -160, -10, -212, 332, -324, -352, -92, 56, -72, 236, -6, -76, -112, 224, -20, -372, -488, 34, 376, -296, -96, 268, -28, -100, 335, 50, 406, 104, 63, 92, 500, -20, 96, 44, -168, -118, -60, -6, 0, 40, -106, -28, 44, 76, 358, -428, 232, 28, 824, 244, -96, 378, -104, -382, -282, 318, 82, 272, -434, 80, 400, -192, -48, -324, 414, -142, -228, -102, -32, -70, -76, 128, 36, 12, -246, -40, 228, 76, 692, 92, 84, 268, 258, 156, -76, 106, 104, 24, 33, -130, -108, 24, -180, -28, -300, -154, 42, 343, 338, 12, -200, -98, 416, -104, -108, 392, -102, -12, 216, 106, -352, 68, -280, 146, -400, -64, 110, -68, -92, -388, 36, -294, 319, 274, 98, 172, 0, -298, 22, -24, 36, 52, -320, -48, 88, -4, 228, -144, 344, -168, -158, 200, -84, -52, 60, 16, -366, 112, 60, -104, 104, 146, 910, 40, 94, -120, -100, -160, 476, 104, 208, -196, -56, -56, 30, -492, -388, 420, 221, 130, -280, -176, -142, 2, 120, 214, 140, 244, -526, -36, 862, -98, 412, 24, 110, 284, 106, -234, 204, 284, -108, -52, -292, 6, -166, 276, 72, 31, 420, 168, -64, 72, -36, 102, 774, -124, -32, 120, -360, 30, -276, 36, 12, -516, -224, 192, -256, 280, 158, -76, 38, -16, -444, 200, 313, 396, 126, 36, -108, 0, 336, -24, -328, 402, 12, -244, -344, 196, -84, 20, -81, 229, -100, 296, 24, 140, -230, 206, 64, -4, -14, -132, 1284, -146, 368, -488, -586, 174, 348, -12, 480, 140, -144, -332, 296, 214, 680, 272, 10, 56, -56, 164, -312, 80, 518, 60, -536, -228, 114, 360, 168, -102, 788, -92, 314, 342, -460, 282, 1032, 164, 98, 272, -460, -226, -324, 346, -6, 56, -368, 4, -312, -116, 684, -40, 80, 330, 444, -168, 16, -464, -196, -184, 810, -166, -10, 260, 85, 102, 224, -348, 414, 132, 22, 42, -120, -432, -524, 392, -128, 308, 951, 60, 164, -92, 256, -10, 696, -64, -86, 144, 80, 500, -128, 132, 244, -176, -336, 236, -130, 264, 460, 60, -252, -42, -52, -178, 8, -176, -476, -302, -644, 292, 344, 80, -50, -192, -56, -256, 696, 352, -360, -180, 1076, -16, 112, -68, -432, -162, -460, -114, -300, 92, -292, -400, 114, 200, -110, -32, 20, -164, 468, 432, -82, 405, -590, 124, -92, 46, -156, 244, 36, 118, -532, 134, 412, 160, -684, -16, -192, 14, 58, -67, 76, 348, -176, 280, 602, 104, -118, 220, 708, 38, 688, -460, -66, 10, -300, 326, 346, -234, -86, -74, 576, 80, 220, 12, -328, -412, 548, 106, 183, 372, -336, -192, 652, -10, 48, -112, 262, -16, 584, 244, -336, -388, -644, 130, -134, 196, 16, 404, 386, -348, -44, 124, -352, 612, -586, 44, -20, 518, -284, 624, -153, 188, 190, 222, 130, -48, 424, 280, 84, 126, 124, 64, 96, 240, -372, -10, 94, 168, -330, 180, -46, -164, -396, 92, -88, 36, 648, -156, -180, -54, -20, 18, 444, 460, 40, -116, 410, 162, -416, -86, 848, -528, 66, -20, 456, -274, 64, 12, 288, -24, -720, -8, -580, -48, -144, 172, -892, 426, 880, 296, -536, -228, -524, 312, 54, 568, 102, 76, 396, -352, -452, -28, -72, 10, -800, 624, -12, -296, -288, 168, -76, 17, -23, 406, -490, -4, 360, -172, -144, -192, -502, -54, -132, -162, 332, 576, -79, -60, 284, 212, -86, -140, -340, -572, 572, -200, 438, 88, -208, 18, 214, 360, 32, -268, -366, 174, 428, 60, -600, 170, -292, -128, -760, -112, -384, -316, 180, 216, -692, 56, 356, -156, 778, -252, -570, -334, -44, 414, -152, 180, -864, 294, 104, -56, -334, 134, 686, 408, 12, -20, -444, 28, 404, 364, 18, -136, 568, -34, -308, 58, -232, 256, -674, 120, -367, 216, -168, 0, -28, 60, 1236, -324, -156, -74, 132, -232, -132, 30, -36, 236, -428, 56, -148, -80, 56, -176, 80, -38, -468, -114, 28, 18, -64, 76, 108, 50, 122, -608, 308, 36, 1137, 38, 22, 204, 408, 0, -424, 244, 446, -264, -428, -38, -134, 358, -20, 712, -288, -280, -134, 8, 636, 176, -80, 112, -188, 342, -316, -112, 658, 460, 228, 4, 390, 64, -800, 188, 656, -24, 32, -180, -168, -230, -44, 26, 574, -152, -752, -154, -132, 9, 250, -312, -324, -476, 80, 48, 366, 236, 90, 146, -324, -38, -5, 76, -242, -180, 456, -78, 240, 476, 156, -382, -306, 360, -198, 824, 416, 134, -136, -142, 340, 6, -594, 140, 64, 60, -260, -428, -480, -10, -848, 92, 86, 620, -812, -8, -60, -292, -124, 316, -201, -102, -240, 112, 144, -264, -286, 354, -5, -132, 680, 296, 12, -78, 52, -560, -440, 80, 40, 38, -716, -104, -325, 108, -24, 0, 148, -236, -214, -228, -84, -100, 92, 46, 384, 698, -403, -12, 136, -218, -188, -16, -324, 316, -676, 62, 276, -144, -36, 338, -1096, -316, -746, 252, 162, 252, 68, 84, 636, -292, -678, -6, -958, 132, -824, -412, -140, -140, -296, -92, -76, -320, -796, 48, 246, -232, 186, 260, 408, -36, -24, -278, 204, 440, -92, 126, 152, -50, -128, 368, -368, 32, 696, 60, -486, 16, -160, -746, -988, -526, -224, -372, -732, 192, -612, 252, -448, 80, 348, -422, -4, 58, -240, -320, -15, 360, -56, 634, 242, 532, -612, -282, -448, 84, -136, 711, 318, -44, -352, -386, -812, -116, 4, 44, 430, -288, 1010, 144, -64, -58, 292, -92, 546, -316, -468, 696, 276, -84, -177, 76, -634, -4, -132, -202, 176, 68, 462, 130, 490, 120, 580, 4, 248, 266, 56, 140, 450, -12, -436, 50, -1324, 26, -532, 524, -664, 200, -184, 228, -268, 280, -140, -254, 32, 16, -154, -404, -200, -288, 254, 138, -36, -216, 68, -268, 856, 508, 148, 284, -578, 554, 544, 150, 216, -216, -648, 72, 670, -352, -412, 96, -824, -276, 280, 200, -524, 58, -143, 100, -280, -260, -82, 40, -558, 272, -1088, -158, 108, 48, -8, 280, 740, -92, -396, -316, -72, -106, -60, 288, 122, -244, -1160, -406, -100, 320, 646, -388, 28, -86, 868, -52, -712, -518, -226, 6, -248, -376, 180, 668, -12, 612, -616, 178, 156, 188, -110, 228, -8, -136, 336, -94, -1396, -20, -356, 22, -40, -20, -1110, 642, -449, 84, -688, 60, -104, 96, -528, -96, 222, -16, -804, -210, 964, -72, 346, 324, -122, 576, -818, 136, 312, 500, -768, -56, -556, -168, -74, -446, -336, -68, -336, -299, -384, 560, -436, 68, -1156, -146, 1026, 112, -90, 24, 360, -132, -428, 22, -1256, 402, 96, -282, 14, -376, -960, -4, 342, 40, -506, 96, -316, 146, 64, 12, -88, -552, -164, 170, -1052, -536, 732, -88, 86, -348, -864, -110, -488, -132, -1236, -336, -256, 384, 230, 54, -104, -118, -512, -432, -128, 316, -374, -238, -986, -166, 144, -216, -678, -90, -564, -316, 294, 588, -446, 44, -120, -92, -4, 532, -380, 370, 306, 348, -144, -492, -1060, -416, 132, 214, -100, 16, -510, -96, 784, 15, -764, -536, 124, 168, 361, -218, -238, 244, 280, 202, 68, -116, 413, -38, -356, 586, 644, 384, -66, -136, 328, 68, -460, -344, 56, 124, 156, -128, 344, -130, 708, 132, 84, 418, -316, 226, -494, 8, -54, 736, -648, 406, -460, -928, 74, -180, 76, -72, -1076, -778, -320, 300, 316, 192, 328, 404, -14, -272, 784, 544, 624, -268, 202, -14, 12, 110, 532, -174, 870, -8, -852, -416, 298, -224, -676, -18, 622, 266, -484, -48, 36, -100, 204, -32, 430, 10, 10, 452, -76, 498, -304, -44, 36, -214, 64, -124, 308, 388, -266, -116, 24, 727, 286, -260, 282, -596, 904, -64, -72, 64, -244, -136, -200, 128, -82, 212, 504, 188, -292, -136, 742, -354, 42, 160, 800, 622, 90, -232, 64, -2, 716, -64, 123, 304, -150, -288, 284, 616, 44, 692, -396, 82, -776, -78, -708, -92, -444, 228, -688, -192, 1117, 20, 738, 180, -728, 236, -300, 680, 666, -28, -416, -152, 288, 312, 224, 664, 114, -14, 222, 184, -36, 4, -796, 334, -326, -140, 578, -298, -172, 340, -64, -136, -164, 80, 468, -68, 260, -272, -16, -14, -68, 16, 88, -404, 48, 6, 496, 344, 474, 308, 829, -152, -168, -16, 254, -460, -238, 480, 194, -424, 292, -660, -110, -754, 260, -88, -636, -92, -476, 318, 144, 174, -276, 304, -240, -570, 1172, 6, 656, -66, 488, 76, 432, 262, 320, 392, -982, 4, 446, 484, 264, -1036, -200, -354, 44, 236, -132, 350, 438, -182, 1124, 6, 420, -444, 2, 878, -80, -88, -960, 344, 42, -108, 616, 82, -190, -180, -420, 576, 860, 64, 536, -392, 50, -296, 72, 732, 956, -696, -126, 240, -36, -264, 152, 208, -2, -14, 332, 12, -512, -528, 4, 160, 35, 492, 1010, 364, -692, 25, -476, -132, 190, -297, 278, 52, 838, 140, 1192, -64, 702, 160, 640, 176, 334, 464, -200, 184, 836, -306, -264, 584, -32, 6, -48, -434, 574, -976, -216, 276, 294, -510, 188, 328, -152, 576, 200, -468, 116, -334, 208, 616, 1752, 34, -1002, 436, 122, -536, -262, 406, -32, -144, -77, 348, -212, -304, -540, 376, -88, -464, 1180, -508, 12, -360, 316, 40, 986, 136, 664, -516, -428, -168, 492, 144, 1492, 664, 228, 156, -504, -102, -816, 36, 496, -564, 938, -14, -252, 84, -486, -176, -1000, -166, 456, -132, -10, -62, 212, 32, -102, -276, 16, 436, -900, 404, 802, -36, 275, 154, 536, 510, 106, -254, -804, 536, 120, 54, 868, 364, -116, 124, 696, -44, -628, -472, 326, 34, -348, -210, -336, -796, 450, -714, 76, -148, -32, -444, -68, -112, 213, 388, -127, 924, -8, -590, -172, -376, 352, 106, 494, -160, 856, -74, -492, 48, 524, 136, -322, 16, -94, -76, 732, 312, 832, 78, -490, 352, -340, -296, -448, -144, -538, -708, 292, 288, 438, -128, 6, -56, 276, 738, -1040, 470, -800, -80, 164, 356, -332, -74, -472, 216, 656, 222, 412, -302, 362, 168, -264, -280, 604, 644, 84, 410, 760, -438, -674, 116, -258, -364, 164, 508, -652, 79, 636, 340, 62, -656, 880, 212, -36, -34, -748, 142, 540, -800, 576, 188, -374, 722, -150, -296, -620, 308, 132, -160, 724, -306, 80, 1310, 306, 252, -808, -88, -708, -844, 18, 300, -116, 64, 456, 72, -366, -552, 244, -22, -44, -1054, 52, 428, 272, 226, -38, -160, -824, 150, 120, 340, 424, -144, 480, -106, -744, 132, 808, -400, 228, 400, -144, 136, -268, 120, -808, -84, 302, -84, 48, 388, 616, -498, -192, -112, 3, -536, 1022, 284, -200, -410, -596, -108, -178, 118, -304, 228, 1378, -516, 400, -368, -394, 108, 50, -188, 48, -662, 64, -128, -928, 376, -288, 16, -125, 458, 1028, 460, -80, 264, -764, -444, 116, -246, 112, -514, -504, -40, 60, -372, 194, 224, 616, -554, 48, 164, -536, 428, 328, -92, -196, 748, -228, 28, -364, 364, -888, -100, -84, -96, 90, -378, 620, -92, 8, -486, -248, -488, 700, -570, 430, 452, 176, 632, -292, 324, -34, -128, 932, -538, 360, -748, -488, -484, -196, 828, -90, 100, 404, -44, -320, -2, -138, 1092, -86, -304, 512, -522, 576, 532, 720, -188, -588, -88, 36, 494, -512, 142, -452], "hecke_cutter_primes": [2], "level_primes": [19, 53], "relative_dim": 79, "hecke_orbit_code": 33555439, "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": [13, 28, 26, 12], "newforms": ["1007.2.a.a", "1007.2.a.b", "1007.2.a.c", "1007.2.a.d", "1007.2.a.e"], "oldspaces": [[19, 1, 1, 2], [53, 1, 1, 2]]}