# Stored data for newspace 1502.2.a, downloaded from the LMFDB on 16 April 2024.
{"label": "1502.2.a", "level": 1502, "weight": 2, "char_conductor": 1, "char_degree": 1, "char_parity": 1, "sturm_bound": 376, "dim": 63, "eis_dim": 3, "eis_new_dim": 0, "cusp_dim": 187, "mf_dim": 190, "char_order": 1, "char_orbit_label": "a", "char_is_real": true, "trace_bound": 3, "num_forms": 8, "Nk2": 6008, "plus_dim": 26, "AL_dims": [[[[2, -1], [751, -1]], 13, 2], [[[2, 1], [751, 1]], 13, 2], [[[2, 1], [751, -1]], 19, 1], [[[2, -1], [751, 1]], 18, 3]], "analytic_conductor": 11.993530383596314, "level_radical": 1502, "mf_new_dim": 63, "char_values": [1502, 1, [3], [1]], "hecke_orbit_dims": [1, 1, 2, 2, 11, 11, 16, 19], "trace_display": [-1, 2, -2, 4], "traces": [63, -1, 2, 63, -2, -2, 4, -1, 67, -2, -2, 2, -6, -4, 4, 63, -10, 3, 0, -2, 8, -6, 16, -2, 65, -2, -4, 4, -4, 0, 12, -1, -8, -6, -28, 67, -6, 4, 12, -2, -6, -4, -12, -2, -14, -16, -36, 2, 51, 1, -12, -6, -34, -20, -16, -4, -20, 0, -4, 4, -10, -20, 24, 63, -4, 8, 2, -10, 32, 0, 16, 3, 18, -18, -38, 0, -4, 0, 56, -2, 71, -14, 14, 8, -20, -16, -36, -6, -34, -46, 12, 16, 40, -4, 0, -2, -34, -9, 6, 65, 0, -44, 12, -2, -8, -34, -40, -4, -38, -12, 44, 4, 22, -16, -68, -4, -34, -4, 4, 0, 39, -14, -12, 12, -60, -24, -28, -1, 72, -12, -56, -8, -48, -22, 76, -6, 62, 12, -8, -28, 60, 0, 4, 67, -24, 6, 34, -6, 30, 38, 48, 4, -38, 28, 12, 12, 32, -40, 4, -2, -64, 71, 16, -6, 56, -14, 16, -4, 93, 8, 60, -12, 20, -4, 32, -2, 12, 6, -28, -14, 30, 36, 68, -16, -4, 4, -76, -36, 0, -64, 12, 2, 10, -42, 12, 51, 6, -38, 40, 1, -28, 0, -64, -12, -20, 4, 72, -6, -52, 24, 8, -34, -12, -4, -48, -20, 72, -14, -40, -16, 4, 44, -8, -4, 149, -10, -14, -20, 30, -52, 28, 0, -86, -30, 4, -4, -56, -48, -20, 4, -54, -5, -150, -10, 14, -80, 72, -20, -44, -72, -6, 24, -128, -20, 24, 63, 70, 0, -4, -4, -48, 0, -8, 8, -80, -12, 12, 2, -106, 8, -28, -10, 168, -46, 98, 32, 48, -44, 48, 0, -42, 24, -58, 16, 36, 20, -20, 3, -7, 48, 60, 18, 76, -10, -16, -18, 20, -46, 4, -38, 32, 52, -68, 0, -76, 18, -4, -4, -32, 68, -40, 0, -98, -56, -156, 56, -20, -52, 68, -2, -20, 72, 32, 71, -130, 60, -16, -14, 40, 80, 22, 14, 18, -32, 8, 8, 6, 1, -4, -20, -60, -16, -4, -16, -4, -8, 92, -36, -4, -48, 128, -6, 62, 24, 48, -34, -112, 0, -96, -46, 111, 10, -2, 12, 128, 40, -28, 16, -162, 52, -8, 40, 44, -20, -40, -4, 8, 36, -46, 0, -128, 76, -52, -2, 4, -18, -212, -34, 12, -24, -40, -9, -36, 10, 0, 6, -62, -36, -68, 65, 66, 56, -68, 0, -26, -48, -140, -44, -82, -56, -120, 12, 80, 28, -76, -2, -24, 48, -144, -8, 12, -28, -164, -34, -154, 16, 12, -40, -36, 12, 16, -4, -46, 32, 52, -38, -120, -92, 104, -12, -133, -84, -26, 44, -96, 0, -152, 4, 38, 29, -56, 22, 128, 10, -44, -16, 58, 38, -192, -68, -10, 68, -164, -4, -132, -74, -86, -34, 12, -76, 212, -4, 36, -76, -32, 4, -74, -104, -144, 0, 136, 26, -24, 39, -104, -162, 16, -14, -84, 74, 38, -12, -128, -116, -320, 12, -140, 80, -116, -60, 56, 14, -4, -24, -112, 20, -62, -28, -44, 36, 216, -1, -76, -2, -60, 72, 112, 40, -4, -12, 126, 52, -12, -56, 44, -4, 96, -8, 47, -28, 104, -48, -84, -32, -24, -22, 64, 58, 14, 76, -12, 52, 12, -6, 188, 112, -50, 62, -174, -10, -52, 12, 184, -24, -228, -8, 48, -136, 204, -28, 228, 30, 78, 60, 108, -6, 36, 0, -78, 172, 218, 4, 184, -68, 172, 67, 94, -83, 100, -24, -16, 64, 252, 6, -144, 72, 0, 34, 48, 68, -120, -6, -30, -192, 80, 30, 80, 4, -12, 38, 94, 20, 230, 48, -66, 0, 180, 4, 92, -140, 52, -38, 82, -24, -16, 28, -78, 52, -134, 12, 296, 152, -100, 12, 211, -134, -236, 32, -36, -108, -84, -40, 32, 0, 208, 4, 302, 44, -52, -2, -58, 40, 180, -64, -232, 72, 24, 71, 88, -70, 204, 16, -4, -44, 232, -6, -6, 136, -226, 56, 104, 18, -188, -14, -116, 14, 52, 16, -80, 48, 128, -4, 58, -2, -152, 93, -92, 148, 64, 8, 232, 84, -96, 60, 20, -68, 76, -12, -64, 32, 144, 20, 16, -92, -116, -4, -108, 8, -52, 32, 52, 160, 92, -2, 84, 38, 232, 12, 112, 212, 8, 6, 188, -24, 76, -28, -96, -80, -172, -14, 124, -21, 88, 30, -152, 78, 188, 36, 115, 8, -152, 68, 12, 168, 276, -16, -148, -142, -8, -4, 208, 172, -80, 4, 136, -12, 78, -76, 24, 124, 1, -36, -200, 72, -8, 0, -20, 102, -252, -64, 246, 4, 20, 12, 184, 80, 72, 2, 122, -48, 72, 10, 272, -24, -4, -42, 124, 36, 56, 12, -136, 164, -136, 51, 104, 72, 148, 6, -312, 180, 300, -38, -40, -126, 212, 40, 106, 72, -104, 1, -298, -50, -192, -28, -288, 60, 396, 0, 34, -174, 142, -64, -24, 48, 60, -12, 84, -22, -252, -20, 20, 204, 8, 4, -84, -88, -8, 72, -12, 224, -112, -6, -110, 24, -84, -52, 76, -100, 64, 24, 121, 48, 56, 8, 46, 128, -40, -34, 200, -82, 240, -12, 154, 84, -164, -4, -42, 44, 238, -48, -156, -52, -44, -20, 56, -10, 322, 72, 44, -64, -20, -14, -230, -192, 224, -40, 172, -24, -104, -16, -126, 19, -12, 4, -32, 130, 184, 44, 100, 80, -198, -8, -40, -48, 176, -4, -88, 2, -60, 149, 264, 76, -216, -10, 92, -212, 202, -14, 104, 212, 188, -20, -20, -106, -300, 30, 72, -96, 240, -52, 96, -70, 156, 28, 22, 148, -72, 0, -170, -184, 116, -86, 28, 98, 8, -30, -18, -176, -80, 4, -154, 148, 288, -4, -104, -128, 44, -56, 4, 176, -40, -48, 78, -42, -216, -20, -52, 20, -252, 4, 159, -12, -256, -54, 116, -312, -160, -5, -120, -88, -66, -150, 132, -100, 336, -10, 62, -96, 40, 14, -210, 166, 40, -80, -136, -88, -256, 72, -12, -188, 136, -20, 228, -80, -84, -44, -50, 120, 144, -72, -120, -36, 156, -6, -436, -8, 236, 24, -54, -40, 20, -128, -294, -194, 28, -20, -102, -44, 130, 24, 72, -132, -56, 63, -102, -88, 0, 70, 140, 140, 20, 0, -198, 52, -84, -4, -132, 168, -40, -4, -28, 58, -100, -48, -132, 116, -248, 0, -114, -152, 154, -8, -414, -32, 324, 8, 184, -105, 0, -80, -100, -164, 164, -12, 16, -92, 160, 12, -84, 156, -156, 2, 296, 48, 36, -106, 448, -78, 64, 8, -112, -40, -86, -28, 152, -108, -236, -10, -117, 180, -130, 168, -122, -50, -60, -46, 82, 6, -136, 98, -160, 144, 92, 32, 244, -8, -40, 48, 222, -172, -40, -44, -292, -104, 244, 48, 156, 92, -52, 0, 20, -88, -108, -42, -600, 74, -96, 24, -110, -76, -52, -58, 152, -312, -376, 16, -248, 54, -76, 36, 0, 190, -176, 20, -64, 64, 268, -20, -144, -16, 116, 3, -90, -66, -336, -7, 44, -16, 52, 48, 144, -12, -146, 60, 184, -16, 80, 18, -96, -220, 12, 76, -132, -44, 96, -10, -160, 252, -44, -16, -222, 76, 172, -18, -196, 94, 4, 20, -492, -20, 232, -46, -306, -4, 0, 4, -72, -76, -204, -38, -218, -58, 144, 32, -92, -250, 204, 52, 388, 22, 56, -68, 64, -60, 132, 0, 66, -88, -84, -76, 48, 164, -424, 18, -583, -182, 332, -4, -96, 224, 212, -4, 178, 14, 468, -32, -60, 2, -248, 68, 364, -8, -372, -40, -132, 72, 192, 0, -278, 35, 64, -98, 8, -100, 216, -56, -8, -112, 208, -156, 376, 96, -100, 56, -44, -80, 164, -20, 180, 60, -96, -52, 148, -110, -432, 68, 24, -100, 132, -2, -140, 134, -226, -20, -180, -148, 128, 72, -170, -200, 126, 32, 328, -60, -68, 71, 294, -40, -36, -130, 164, -20, 184, 60, 44, 36, -216, -16, -156, 116, -368, -14, -80, -2, 140, 40, 136, 78, -212, 80, -26, -88, 208, 22, 58, 120, 24, 14, -204, 80, -480, 18, -312, 56, 140, -32, 16, 384, -4, 8, -58, -48, 208, 8, -268, -106, -92, 6, 172, 96, 28, 1, -332, -28, -80, -4, -68, 232, -120, -20, -154, -64, -164, -60, -276, -72, -432, -16, -59, -328, 252, -4, -170, -184, -228, -16, -50, 28, 56, -4, 92, 52, -388, -8, 20, 16, -40, 92, -176, 100, -32, -36, 192, 76, 152, -4, -56, -256, 32, -48, 248, 104, 236, 128, -444, 44, 292, -6, -114, -200, -140, 62, -208, 80, 96, 24, -48, 76, -520, 48, 184, -136, -20, -34, -424, -8, 220, -112, -354, 44, -224, 0, -170, 388, -20, -96, 136, 188, 56, -46, 156, -176, -220, 111, -86, -252, -16, 10, -124, -136, -98, -2, -164, 60, 348, 12, -40, 147, -42, 128, 420, 180, -280, 40, -116, 248, 300, -28, -404, -148, 56, 16, 268, 152, 204, -162, -160, 176, -380, 52, -146, -40, 162, -8, 452, 156, -108, 40, -70, -92, -100, 44, 84, -114, 40, -20, 432, 88, -144, -40, 36, -11, 28, -4, 172, -64, -76, 8, 88, 24, 284, 36, 380, -16, 84, -46, 316, 84, -116, 0, 473, -42, 40, -128, 378, 20, -36, 76, 88, 244, 58, -52, 364, -104, -88, -2, -376, 78, 280, 4, -96, 28, -52, -18, -212, 228, 220, -212, -226, 36, 580, -34, 170, -64, -328, 12, -144, 72, -168, -24, 184, 268, -248, -40, 180, 284, 44, -9, -84, -48, 234, -36, 206, -144, 196, 10, 160, -20, -256, 0, 340, 36, 64, 6, -264, -52, -254, -62, -208, 268, 168, -36, 240, 234, 660, -68, 154, -128, 236, 65, 466, -58, 80, 66, 72, 132, 40, 56, 230, 180, -232, -68, 24, 320, -268, 0, -612, 42, -224, -26, 50, -114, 28, -48, -216, 372, -140, -140, 222, -124, 76, -44, 32, -240, -44, -82, 284, 4, 4, -56, -24, -248, -200, -120, -160, 268, 184, 12, 204, -56, 68, 80, 496, -180, -40, 28, 106, 36, 404, -76, -20, 340, -296, -2, 476, -62, 148, -24, -62, -96, 104, 48, 192, -144, 250, -144, 264, 84, -380, -8, -103, -7, -180, 12, 408, -80, -160, -28, -632, -222, 188, -164, 50, 124, -412, -34, 54, 72, -140, -154, 484, -184, 12, 16, -308, -14, 148, 12, 302, -296, -124, -40, 100, -202, -216, -36, -468, -202, 384, 12, -126, 48, 202, 16, -176, 240, 76, -4, -20, -64, 184, -46, -128, 66, -328, 32, 230, -40, -120, 52, -140, 532, -436, -38, -120, -290, -328, -120, 216, -124, 224, -92, -298, 292, -796, 104, -160, 304, 584, -12, 272, -218, 100, -133, 144, 80, -96, -84, -484, -64, -48, -26, -238, -140, 160, 44, 366, -96, 184, -96, 216, 146, 68, 0, -60, 152, -158, -152, -326, 20, -60, 4, -252, 248, -76, 38, 132, 0, -104, 29, -210, -12, 272, -56, 282, 36, 40, 22, -12, -140, 68, 128, -174, -98, -108, 10, -488, 568, -284, -44, 216, -148, 88, -16, -210, 56, -916, 58, 44, -104, 160, 38, 416, -16, -140, -192, -32, 64, -172, -68, 56, -248, 236, -10, 8, -84, 112, 68, 23, -222, -76, -164, 256, 136, 64, -4, 332, -34, -382, -132, -96, 28, 588, -74, 172, 92, 138, -86, -112, 192, -204, -34, -398, 230, -174, 12, -220, -24, 176, -76, 48, 246, -236, 212, -320, -104, -264, -4, -142, -144, 136, 36, 12, 192, -568, -76, -120, 24, -384, -32, 238, 104, 28, 4, -372, -158, -8, -74, -48, 60, -520, -104, -278, 164, 180, -144, 52, -8, -204, 0, -172, 127, 196, 136, -504, -272, -436, 26, 220, 32, -420, -24, -92, 200, -196, 39, -276, -144, -268, -104, 56, -42, 196, -162, 108, 32, -316, 16, -164, 428, 148, -14, 148, -182, 336, -84, -148, 60, 0, 74, -104, -390, -160, 38, -540, 132, 92, -12, -152, -172, 172, -128, 498, -288, 352, -116, -140, 28, -504, -320, 216, 40, 368, 12, 524, -216, 216, -140, -12, -168, -524, 80, 94, -190, -336, -116, -356, 736, -44, -60, -212, -192, -14, 56, -192, -8, -200, 14, 86, 188, -314, -4, 144, 36, -564, -24, -302, 58, -236, -112, -36, -236, 156, 20, 385, -190, 352, -62, -378, -84, -192, -28, 72, 102, -120, -44, -472, -78, -256, 36, 204, 328, 146, 216, 472, 288, 144, -1, 4, 118, -456, -76, 20, 104, 496, -2, 10, 96, 300, -60, 654, -196, 112, 72, -20, 6, 284, 112, 52, -192, -28, 40, 528, -148, 270, -4, 164, 200, -36, -12, 206, -96, 240, 126, 772, -180, -208, 52, 266, 52, 620, -12, 76, -40, -336, -56, 210, 102, 262, 44, -100, 310, 336, -4, 604, 282, 92, 96, 828, -16, -208, -8, -174, -136, 388, 47, -140, 264, -152, -28, -40, -136, 444, 104, -364, 300, 324, -48, -218, 152, -318, -84, -312, 168, 396, -32, 138, 84, 712, -24, 174, 228, 132, -22, 88, -208, -200, 64, -76, 108, 0, 58, 366, 236, -80, 14, 224, -184, 520, 76, -394, -56, 496, -12, -300, -206, -212, 52, 10, -160, 136, 12, 404, -16, 272, -6, 44, 39, -418, 188, -232, 22, 544, 112, 224, 62, -168, -50, 180, 88, 288, 62, 500, 78, -296, -174, -60, -40, -252, -10, -80, 380, -162, -52, 202, -24, 324, 12, -33, -184, 140, 184, 312, -160, 180, -24, 364, -46, -328, -228, 56, 196, 352, -8, 390, 32, -220, 48, -8, 28, -40, -136, -524, 264, 264, 204, 436, 132, -356, -28, -668, -136, 746, 228, -20, 16, 216, 30, -192, -668, -522, 78, -14, -248, 80, 60, -156, 94, 322, 108, -440, -316, 160, -6, 48, 24, -10, 36, 178, 520, 92, 0, -234, -200, 276, -78, -76, -136, 104, 172, 322, -132, -340, 218, -392, -140, -12, 4, 176, -212, -344, 184, 130, -60, 312, -68, -46, 400, -200, 172, -356, -132, -508, 67, -24, -98, -700, 94, 276, -140, 260, -83, 1006, -296, -88, 100, 128, -104, 280, -24, 172, 32, -60, -16, 548, -62, 308, 64, -260, 284, -24, 252, -26, -384, -20, 6, -280, -96, -16, -144, 420, -124, 112, 72, 156, 72, -108, 0, 188, -252, 100, 34, 180, -152, 440, 48, 230, 160, -216, 68, 252, -378, -68, -120, -80, -384, -296, -6, 452, 320, -12, -30, -124, -44, -320, -192, 370, -136, 472, 80, -446, -36, 116, 30, -388, -130, -156, 80, -32, 416, 64, 4, -54, -8, 380, -12, 4, 140, -336, 38, 223, 70, 352, 94, 144, 8, 196, 20, 852, 72, 214, 230, 120, -64, -36, 48, -186, 88, 132, -66, 102, -100, 460, 0, -58, 164, 288, 180, -124, -36, -164, 4, 592, -250, 112, 92, 162, 44, 68, -140, -262, 52, 116, 52, 544, -224, 88, -38, 24, -95, 160, 82, 36, 76, -220, -24, -272, -216, -50, -16, -488, 160, 148, 28, -164, -382, 196, -78, -152, 180, -72, 52, 318, -244, 534, -134, -56, 108, 272, 12, 352, -228, 80, 296, -400, -424, -128, 152, -268, 648, 4, -100, 464, -4, 596, 12, -188, -146, 212, 211, 264, -408, -156, -134, 416, -268, -620, -236, 612, 564, 436, 32, 588, -416, -616, -36, -56, -36, -40, -108, 14, -184, 206, -84, 8, 576, 108, -40, 34, 352, 8, 32, 412, 96, -668, 0, -40, 428, -262, 208, -116, -272, -116, 4, -288, -104, -218, 302, -394, -544, -360, 44, 60, -120, -420, -52, 394, 16, 872, -2, 248, -280, -304, -58, 476, 94, -136, 40, 108, -284, 232, 180, -344, 208, 384, -64, 276, 38, 440, -232, -80, 106, 224, 72, 432, -436, 604, 24, -804, -112, -200, 71, -446, 358, 132, 88, -630, -84, -48, -70, -515, 96, -532, 204, 124, 96, -84, 16, -206, 440, 304, -4, -636, 76, 4, -44, 42, 292, 276, 232, 390, 188, 96, -6, -244, -88, -152, -6, -364, -340, -92, 136, 178, 140, 520, -226, -652, 256, -472, 56, 252, 42, 140, 104, 134, -376, -192, 18, 196, -10, -20, -188, 92, -88, 156, -14, -658, -272, -120, -116, 20, -48, 256, 14, -116, -100, 200, 52, 92, -64, -196, 16, 672, 64, -48, -80, -262, -136, -432, 48, -244, 314, -336, 128, 380, -208, -172, -4, -10, 76, -1008, 58, 292, -160, 44, -2, -256, -156, -6, -152, -104, 92, -268, 93, -388, 88, -102, -92, 252, -132, 400, 148, 202, -108, 352, 64, 52, 264, 72, 8, 204, -106, -212, 232, -870, 152, -776, 84, 582, -364, -98, -96, 292, 0, 144, 60, 164, -71, -540, 20, -242, 136, 224, -68, -1424, -162, -228, 76, 140, 28, -536, -12, 78, -94, 40, -64, 404, -52, 64, 32, 528, -364, 576, 144, -120, 416, 120, 20, -200, -144, 212, 16, -148, -44, 1048, -92, -334, 136, -112, -116, 176, -244, 172, -4, -316, 200, -28, -108, 28, 356, -364, 8, 516, 100, 440, -52, 28, 52, 384, 32, -234, -456, 118, 52, 344, 676, -272, 160, -463, -20, -408, 92, -424, 60, 120, -2, -222, 130, 90, 84, -276, 92, 272, 38, 378, 112, -20, 232, 212, 196, -376, 12, -350, -92, -884, 112, 300, 244, -364, 212, -232, 192, 268, 8, -12, -280, -528, 6, 0, -416, -4, 188, 648, 48, -80, -24, -170, 146, -508, 76, 86, -436, -60, -28, -704, 302, -188, -96, -860, -48, -192, -80, -158, 348, -600, -172, -412, 128, -24, -14, -344, -240, 662, 124, -912, 56, 84, -21, 160, 178, 24, 88, 88, -280, 888, 30, 258, -96, -68, -152, 236, -390, -52, 78, 120, 284, -280, 188, 364, 344, -252, 36, -100, 248, -88, 115, -20, 390, 0, 8, -1004, 228, 240, -152, -450, -28, -628, 68, 24, -160, -432, 12, -32, 124, -172, 168, -684, -144, 34, 276, -80, 28, 244, -16, 120, 344, -92, -148, -4, -248, -480, -142, 82, 40, -112, -8, 480, 368, -320, -4, 68, -34, 280, 208, -264, 210, -300, 172, 170, 324, -422, -80, 532, 132, 120, 4, 112, -478, 202, 136, -304, -56, -568, -12, 304, -200, 320, 78, -34, 88, -208, -76, -148, 104, 272, 24, -322, -192, -244, 124], "hecke_cutter_primes": [3], "level_primes": [2, 751], "relative_dim": 63, "hecke_orbit_code": 33555934, "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, 19, 18, 13], "newforms": ["1502.2.a.a", "1502.2.a.b", "1502.2.a.c", "1502.2.a.d", "1502.2.a.e", "1502.2.a.f", "1502.2.a.g", "1502.2.a.h"], "oldspaces": [[751, 1, 1, 2]]}