# Stored data for newspace 4508.2.a, downloaded from the LMFDB on 18 April 2024. {"label": "4508.2.a", "level": 4508, "weight": 2, "char_conductor": 1, "char_degree": 1, "char_parity": 1, "sturm_bound": 1344, "dim": 74, "eis_dim": 47, "eis_new_dim": 0, "cusp_dim": 649, "mf_dim": 696, "char_order": 1, "char_orbit_label": "a", "char_is_real": true, "trace_bound": 15, "num_forms": 15, "Nk2": 18032, "plus_dim": 37, "AL_dims": [[[[2, -1], [7, -1], [23, 1]], 20, 5], [[[2, -1], [7, -1], [23, -1]], 20, 5], [[[2, -1], [7, 1], [23, -1]], 17, 3], [[[2, -1], [7, 1], [23, 1]], 17, 2]], "analytic_conductor": 35.9965612311932, "level_radical": 322, "mf_new_dim": 74, "char_values": [4508, 1, [2255, 1473, 1569], [1, 1, 1]], "hecke_orbit_dims": [1, 1, 1, 1, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 10], "trace_display": [0, -2, -2, 0], "traces": [74, 0, -2, 0, -2, 0, 0, 0, 64, 0, -6, 0, -6, 0, -6, 0, -6, 0, -12, 0, 0, 0, 0, 0, 66, 0, -2, 0, -14, 0, 6, 0, -18, 0, 0, 0, 14, 0, 14, 0, -6, 0, 28, 0, -12, 0, -2, 0, 0, 0, 14, 0, -36, 0, 24, 0, 48, 0, -12, 0, -4, 0, 0, 0, -50, 0, 2, 0, 4, 0, 14, 0, 6, 0, 10, 0, 0, 0, 28, 0, 50, 0, 18, 0, -60, 0, 30, 0, -12, 0, 0, 0, 18, 0, 12, 0, -34, 0, -116, 0, 8, 0, 18, 0, 0, 0, -60, 0, 20, 0, 50, 0, -2, 0, 2, 0, 20, 0, 0, 0, 70, 0, -54, 0, -12, 0, 22, 0, 0, 0, 34, 0, 0, 0, 62, 0, 32, 0, -6, 0, 46, 0, 82, 0, -50, 0, 0, 0, -52, 0, -58, 0, 36, 0, 78, 0, -44, 0, 84, 0, 0, 0, -54, 0, 40, 0, 16, 0, 80, 0, -40, 0, 52, 0, 0, 0, 40, 0, -62, 0, -50, 0, -36, 0, -4, 0, -52, 0, 0, 0, 46, 0, -46, 0, 10, 0, -34, 0, 46, 0, 30, 0, 0, 0, -78, 0, -8, 0, 36, 0, -84, 0, 90, 0, -40, 0, 0, 0, -70, 0, -26, 0, -8, 0, 12, 0, 22, 0, -60, 0, 0, 0, -54, 0, 2, 0, -44, 0, 30, 0, -58, 0, -8, 0, 0, 0, -96, 0, 30, 0, -18, 0, -6, 0, -44, 0, -6, 0, 0, 0, -24, 0, 28, 0, -60, 0, -76, 0, 30, 0, -24, 0, 0, 0, -10, 0, -42, 0, 44, 0, -94, 0, 38, 0, 92, 0, 0, 0, 66, 0, -98, 0, 32, 0, -108, 0, -94, 0, 12, 0, 0, 0, -164, 0, -24, 0, -32, 0, -2, 0, 22, 0, -24, 0, 0, 0, -12, 0, -122, 0, 24, 0, -64, 0, -142, 0, -64, 0, 0, 0, 58, 0, 124, 0, -56, 0, 36, 0, -174, 0, -90, 0, 0, 0, 6, 0, -20, 0, -6, 0, -30, 0, 30, 0, -74, 0, 0, 0, 24, 0, 94, 0, -70, 0, -54, 0, -74, 0, 28, 0, 0, 0, 122, 0, -172, 0, -26, 0, 32, 0, 14, 0, 84, 0, 0, 0, 24, 0, -20, 0, -10, 0, -26, 0, -16, 0, -10, 0, 0, 0, -54, 0, -2, 0, 46, 0, -72, 0, 62, 0, -116, 0, 0, 0, -152, 0, -6, 0, -68, 0, -22, 0, -44, 0, 94, 0, 0, 0, 194, 0, 204, 0, 22, 0, 282, 0, 16, 0, 6, 0, 0, 0, 30, 0, -112, 0, 32, 0, 24, 0, -38, 0, 162, 0, 0, 0, -162, 0, 78, 0, 34, 0, 44, 0, 230, 0, -104, 0, 0, 0, 92, 0, -8, 0, -84, 0, -40, 0, -86, 0, 22, 0, 0, 0, 56, 0, 138, 0, -122, 0, -18, 0, 42, 0, 196, 0, 0, 0, 30, 0, 108, 0, 36, 0, -116, 0, -88, 0, 42, 0, 0, 0, 120, 0, -36, 0, -2, 0, 28, 0, 76, 0, 30, 0, 0, 0, -22, 0, 74, 0, -44, 0, 18, 0, 164, 0, -102, 0, 0, 0, -62, 0, 78, 0, 56, 0, -90, 0, 48, 0, -52, 0, 0, 0, -88, 0, -88, 0, 40, 0, 152, 0, -44, 0, -48, 0, 0, 0, -86, 0, 114, 0, 122, 0, -12, 0, -54, 0, -42, 0, 0, 0, -100, 0, 32, 0, 10, 0, 12, 0, 150, 0, 60, 0, 0, 0, -82, 0, 72, 0, 26, 0, -128, 0, 166, 0, 88, 0, 0, 0, 122, 0, -110, 0, 162, 0, 48, 0, -120, 0, 28, 0, 0, 0, 54, 0, -216, 0, 24, 0, 24, 0, 308, 0, -94, 0, 0, 0, 256, 0, -176, 0, 14, 0, 100, 0, -178, 0, 48, 0, 0, 0, -106, 0, -166, 0, 140, 0, -94, 0, -232, 0, 46, 0, 0, 0, 12, 0, 96, 0, -64, 0, -162, 0, -10, 0, 0, 0, 0, 0, -122, 0, -90, 0, 40, 0, -176, 0, -60, 0, -44, 0, 0, 0, 90, 0, -134, 0, 74, 0, 70, 0, -36, 0, 14, 0, 0, 0, -106, 0, 32, 0, 0, 0, 56, 0, 14, 0, 44, 0, 0, 0, 70, 0, 130, 0, 54, 0, 166, 0, 128, 0, 18, 0, 0, 0, -188, 0, 102, 0, -108, 0, 146, 0, -28, 0, -92, 0, 0, 0, 168, 0, 222, 0, -10, 0, 42, 0, 34, 0, -18, 0, 0, 0, 244, 0, -52, 0, -6, 0, 22, 0, -96, 0, 114, 0, 0, 0, 156, 0, -50, 0, 102, 0, 244, 0, 236, 0, -72, 0, 0, 0, 56, 0, 288, 0, -60, 0, 262, 0, -232, 0, 86, 0, 0, 0, -38, 0, 108, 0, -142, 0, 204, 0, -110, 0, 32, 0, 0, 0, -28, 0, -242, 0, -70, 0, 72, 0, -88, 0, -134, 0, 0, 0, 44, 0, -6, 0, 66, 0, -116, 0, 226, 0, -112, 0, 0, 0, 102, 0, -14, 0, 88, 0, 200, 0, 178, 0, -14, 0, 0, 0, 102, 0, -72, 0, -110, 0, -184, 0, 130, 0, -164, 0, 0, 0, -116, 0, 280, 0, -94, 0, -120, 0, -152, 0, -82, 0, 0, 0, -286, 0, -32, 0, 106, 0, -32, 0, -14, 0, -108, 0, 0, 0, 168, 0, -216, 0, -136, 0, 92, 0, 184, 0, -48, 0, 0, 0, 2, 0, -40, 0, 54, 0, -282, 0, 92, 0, 30, 0, 0, 0, 126, 0, -28, 0, 62, 0, 352, 0, -146, 0, -12, 0, 0, 0, -30, 0, 42, 0, -164, 0, 28, 0, 276, 0, 54, 0, 0, 0, 108, 0, 136, 0, 206, 0, 62, 0, -404, 0, -24, 0, 0, 0, 78, 0, -86, 0, -12, 0, 4, 0, -192, 0, -42, 0, 0, 0, -8, 0, 308, 0, -10, 0, -56, 0, -20, 0, -10, 0, 0, 0, -244, 0, -116, 0, -208, 0, 148, 0, -352, 0, -14, 0, 0, 0, -104, 0, -50, 0, -82, 0, -114, 0, -70, 0, 92, 0, 0, 0, -214, 0, 128, 0, -44, 0, -64, 0, 62, 0, 0, 0, 0, 0, -48, 0, -298, 0, -86, 0, -218, 0, 210, 0, -56, 0, 0, 0, -58, 0, -34, 0, 28, 0, 46, 0, -44, 0, -34, 0, 0, 0, 78, 0, 228, 0, -4, 0, 302, 0, 32, 0, 38, 0, 0, 0, 266, 0, 92, 0, 0, 0, -302, 0, -274, 0, 4, 0, 0, 0, 246, 0, 262, 0, 64, 0, -14, 0, 214, 0, 172, 0, 0, 0, -124, 0, -172, 0, -98, 0, 0, 0, -196, 0, -120, 0, 0, 0, 14, 0, 238, 0, -56, 0, -44, 0, -32, 0, 180, 0, 0, 0, 516, 0, -92, 0, 58, 0, 184, 0, -120, 0, 10, 0, 0, 0, 60, 0, 316, 0, 72, 0, 160, 0, 202, 0, -180, 0, 0, 0, -398, 0, -18, 0, -54, 0, -172, 0, 460, 0, 4, 0, 0, 0, 536, 0, -30, 0, -226, 0, -42, 0, -28, 0, 166, 0, 0, 0, -40, 0, -134, 0, -58, 0, -92, 0, 10, 0, -74, 0, 0, 0, -296, 0, 56, 0, 120, 0, -40, 0, -140, 0, 102, 0, 0, 0, 114, 0, 64, 0, -68, 0, 124, 0, 428, 0, 122, 0, 0, 0, -250, 0, -68, 0, 232, 0, -400, 0, 158, 0, -8, 0, 0, 0, -120, 0, -72, 0, 56, 0, 346, 0, -142, 0, 20, 0, 0, 0, -70, 0, 22, 0, -4, 0, -170, 0, 286, 0, 2, 0, 0, 0, -374, 0, -282, 0, 12, 0, -150, 0, -174, 0, 208, 0, 0, 0, -46, 0, 10, 0, 62, 0, -192, 0, -556, 0, -24, 0, 0, 0, 44, 0, -192, 0, 136, 0, -402, 0, -100, 0, -36, 0, 0, 0, -188, 0, -242, 0, 102, 0, -96, 0, -128, 0, -132, 0, 0, 0, 94, 0, -308, 0, 72, 0, -50, 0, -264, 0, -28, 0, 0, 0, -274, 0, -424, 0, -4, 0, -16, 0, 50, 0, 226, 0, 0, 0, -82, 0, -82, 0, 26, 0, -10, 0, 304, 0, 242, 0, 0, 0, 210, 0, 70, 0, -314, 0, -92, 0, -32, 0, -16, 0, 0, 0, -280, 0, 230, 0, 318, 0, -112, 0, 52, 0, 72, 0, 0, 0, 110, 0, -152, 0, -32, 0, -244, 0, -152, 0, 120, 0, 0, 0, -106, 0, 184, 0, 10, 0, 318, 0, 588, 0, -26, 0, 0, 0, -442, 0, 62, 0, 30, 0, -38, 0, -294, 0, 68, 0, 0, 0, 208, 0, 184, 0, -164, 0, -558, 0, -18, 0, -54, 0, 0, 0, -80, 0, -356, 0, 22, 0, 450, 0, -186, 0, -168, 0, 0, 0, 150, 0, -204, 0, 204, 0, -200, 0, 134, 0, -156, 0, 0, 0, -42, 0, 2, 0, 102, 0, -314, 0, 344, 0, 88, 0, 0, 0, 12, 0, 36, 0, -50, 0, -88, 0, 76, 0, -258, 0, 0, 0, -468, 0, -28, 0, -44, 0, 82, 0, -118, 0, 18, 0, 0, 0, 96, 0, -80, 0, 12, 0, 34, 0, -34, 0, -80, 0, 0, 0, -150, 0, 154, 0, -124, 0, 90, 0, 472, 0, 70, 0, 0, 0, -440, 0, -476, 0, 158, 0, -210, 0, 36, 0, -170, 0, 0, 0, -120, 0, -216, 0, 98, 0, 314, 0, -188, 0, -2, 0, 0, 0, 136, 0, -4, 0, 260, 0, 74, 0, 446, 0, 122, 0, 0, 0, 392, 0, 440, 0, 42, 0, 228, 0, -372, 0, 40, 0, 0, 0, 98, 0, 290, 0, -102, 0, -136, 0, -402, 0, -156, 0, 0, 0, 12, 0, 120, 0, -190, 0, -116, 0, -42, 0, 84, 0, 0, 0, -16, 0, -28, 0, -150, 0, 388, 0, -350, 0, 118, 0, 0, 0, 506, 0, -60, 0, -136, 0, 152, 0, -76, 0, 112, 0, 0, 0, 86, 0, 108, 0, -20, 0, 268, 0, 28, 0, 112, 0, 0, 0, 160, 0, -236, 0, 162, 0, -64, 0, 180, 0, -68, 0, 0, 0, 126, 0, 112, 0, -118, 0, -134, 0, 48, 0, 2, 0, 0, 0, 120, 0, -80, 0, 60, 0, -156, 0, 80, 0, -356, 0, 0, 0, 110, 0, 222, 0, 160, 0, -332, 0, 2, 0, 30, 0, 0, 0, -362, 0, -24, 0, 36, 0, 100, 0, 284, 0, 318, 0, 0, 0, 254, 0, 518, 0, -296, 0, 130, 0, -596, 0, -68, 0, 0, 0, -360, 0, 78, 0, -174, 0, 44, 0, -244, 0, 26, 0, 0, 0, 488, 0, -64, 0, -164, 0, 110, 0, -88, 0, -144, 0, 0, 0, -166, 0, -114, 0, -130, 0, 102, 0, 514, 0, -92, 0, 0, 0, -110, 0, -16, 0, -140, 0, -420, 0, 294, 0, 6, 0, 0, 0, 288, 0, 334, 0, -394, 0, 188, 0, 24, 0, 214, 0, 0, 0, -216, 0, 48, 0, -30, 0, 414, 0, -28, 0, -56, 0, 0, 0, -92, 0, -48, 0, 16, 0, -72, 0, -92, 0, 52, 0, 0, 0, -128, 0, 224, 0, -138, 0, 584, 0, 260, 0, 208, 0, 0, 0, -246, 0, 208, 0, 160, 0, -48, 0, 164, 0, -156, 0, 0, 0, -808, 0, -184, 0, 92, 0, -202, 0, -282, 0, 6, 0, 0, 0, 512, 0, -160, 0, 214, 0, 144, 0, 356, 0, -228, 0, 0, 0, 474, 0, -394, 0, 244, 0, 66, 0, -736, 0, 272, 0, 0, 0, 34, 0, 138, 0, 72, 0, 36, 0, -408, 0, -50, 0, 0, 0, 8, 0, 92, 0, -6, 0, -332, 0, -74, 0, -162, 0, 0, 0, 26, 0, -514, 0, -14, 0, 156, 0, -426, 0, -258, 0, 0, 0, 436, 0, 310, 0, -14, 0, 124, 0, -88, 0, 2, 0, 0, 0, -408, 0, -194, 0, -8, 0, -358, 0, 52, 0, 52, 0, 0, 0, -4, 0, -396, 0, 26, 0, -422, 0, 398, 0, 272, 0, 0, 0, -298, 0, 188, 0, -232, 0, -80, 0, 56, 0, -256, 0, 0, 0, 2, 0, 332, 0, 228, 0, -306, 0, 60, 0, 66, 0, 0, 0, 88, 0, 68, 0, -54, 0, -166, 0, -256, 0, -90, 0, 0, 0, 564, 0, 484, 0, 64, 0, -84, 0, 486, 0, 182, 0, 0, 0, 2, 0, 166, 0, 58, 0, 268, 0, -366, 0, -330, 0, 0, 0, -84, 0, -588, 0, 22, 0, 80, 0, -150, 0, -240, 0, 0, 0, -176, 0, 490, 0, -120, 0, -232, 0, -150, 0, -214, 0, 0, 0, 318, 0, -304, 0, -102, 0, 438, 0, 264, 0, -348, 0, 0, 0, -6, 0, 12, 0, 54, 0, 28, 0, 820, 0, 164, 0, 0, 0, 460, 0, -662, 0, -224, 0, 452, 0, 206, 0, -196, 0, 0, 0, 48, 0, -30, 0, -36, 0, 48, 0, -236, 0, 14, 0, 0, 0, 74, 0, 510, 0, -136, 0, -68, 0, -138, 0, 52, 0, 0, 0, 280, 0, 362, 0, -234, 0, 306, 0, 502, 0, -50, 0, 0, 0, -162, 0, 292, 0, 340, 0, 214, 0, 134, 0, -62, 0, 0, 0, 62, 0, -12, 0, 316, 0, 322, 0, -158, 0, -26, 0, 0, 0, -120, 0, -26, 0, -110, 0, 110, 0, 474, 0, 60, 0, 0, 0, 216, 0, 108, 0, 68, 0, 496, 0, -308, 0, 292, 0, 0, 0, 50, 0, -474, 0, -38, 0, -394, 0, -490, 0, -202, 0, 0, 0, 52, 0, 184, 0, 130, 0, 234, 0, 40, 0, -20, 0, 0, 0, -68, 0, -166, 0, -416, 0, 104, 0, -500, 0, 380, 0, 0, 0, 126, 0, 214, 0, 40, 0, 280, 0, -140, 0, 296, 0, 0, 0, -408, 0, 32, 0, -36, 0, 734, 0, -122, 0, 24, 0, 0, 0, -378, 0, -408, 0, 484, 0, -284, 0, 226, 0, 38, 0, 0, 0, 148, 0, 482, 0, -72, 0, 114, 0, 180, 0, 102, 0, 0, 0, 472, 0, 86, 0, 96, 0, 260, 0, 70, 0, -230, 0, 0, 0, 184, 0, -54, 0, 276, 0, -468, 0, -212, 0, -32, 0, 0, 0, -110, 0, -504, 0, 132, 0, 324, 0, 698, 0, 206, 0, 0, 0, -108, 0, 44, 0, 34, 0, -6, 0, -410, 0, -260, 0, 0, 0, 58, 0, 12, 0, -300, 0, 144, 0, -158, 0, 292, 0, 0, 0, 220, 0, 90, 0, 266, 0, 54, 0, -52, 0, 74, 0, 0, 0, -38, 0, 118, 0, -44, 0, -32, 0, 336, 0, -230, 0, 0, 0, -222, 0, -44, 0, 32, 0, 132, 0, 518, 0, 34, 0, 0, 0, 426, 0, 64, 0, 254, 0, -488, 0, 60, 0, 126, 0, 0, 0, -268, 0, -256, 0, 36, 0, -768, 0, -202, 0, 104, 0, 0, 0, -412, 0, 34, 0, 176, 0, -68, 0, -182, 0, 2, 0, 0, 0, 280, 0, 110, 0, -332, 0, -64, 0, 504, 0, 360, 0, 0, 0, -76, 0, -150, 0, 140, 0, 36, 0, 168, 0, -96, 0, 0, 0, -102, 0, -438, 0, 380, 0, 2, 0, -64, 0, -6, 0, 0, 0, -138, 0, 12, 0, 290, 0, 150, 0, 1068, 0, -54, 0, 0, 0, -298, 0, 54, 0, -58, 0, -78, 0, -258, 0, 308, 0, 0, 0, -200, 0, 614, 0, 138, 0, 138, 0, -384, 0, 140, 0, 0, 0, 154, 0, -28, 0, 112, 0, -500, 0, -356, 0, 124, 0, 0, 0, 258, 0, -4, 0, 30, 0, -854, 0, -66, 0, -200, 0, 0, 0, 474, 0, 118, 0, 188, 0, 468, 0, -308, 0, -40, 0, 0, 0, 264, 0, -386, 0, -2, 0, -628, 0, 80, 0, 72, 0, 0, 0, -336, 0, -146, 0, -94, 0, -82, 0, 202, 0, 366, 0, 0, 0, -552, 0, -14, 0, -368, 0, -360, 0, -68, 0, -212, 0, 0, 0, 450, 0, 166, 0, 262, 0, 466, 0, 128, 0, 36, 0, 0, 0, 398, 0, 438, 0, 90, 0, -4, 0, -402, 0, -80, 0, 0, 0, 174, 0, 502, 0, -256, 0, 92, 0, 444, 0, 152, 0, 0, 0, -180, 0, -320, 0, -342, 0, 490, 0, -572, 0, -38, 0, 0, 0, -440, 0, 252, 0, -204, 0, 408, 0, -118, 0, -90, 0, 0, 0, 6, 0, 272, 0, 38, 0, 588, 0, -304, 0, -264, 0, 0, 0, -546, 0, 158, 0, 190, 0, 280, 0, 550, 0, -258, 0, 0, 0, 230, 0, -116, 0, 216, 0, 74, 0, 462, 0, 226, 0, 0, 0, 320, 0, 116, 0, -264, 0, -602, 0, -50, 0, -376, 0, 0, 0, -154, 0, -446, 0, -274, 0, -336, 0, -144, 0, 156, 0, 0, 0, -282, 0, 542, 0, 170, 0, -56, 0, 56, 0, -74, 0, 0, 0, -374, 0, 400, 0, -306, 0, 430, 0, 388, 0, -22, 0, 0, 0, -244, 0, -212, 0, 96, 0, -148, 0, 192, 0, -14, 0, 0, 0, -8, 0, -256, 0, -92, 0, -384, 0, -160, 0, 0, 0, 0, 0, 300, 0, -24, 0, -80, 0, 46, 0, 464, 0, 144, 0, 0, 0, 560, 0, -162, 0, 256, 0, 80, 0, -666, 0, -40, 0, 0, 0, -676, 0, -798, 0, -74, 0, -308, 0, -656, 0, -116, 0, 0, 0, -12, 0, 288, 0, -116, 0, -540, 0, 8, 0, 162, 0, 0, 0, -902, 0, 108, 0, -56, 0, -172, 0, -592, 0, 172, 0, 0, 0, 620, 0, -342, 0, -78, 0, -518, 0, -206, 0, 118, 0, 0, 0, -72, 0, 300, 0, -88, 0, 72, 0, -142, 0, 312, 0, 0, 0, -136, 0, -148, 0, 0, 0, -136, 0, 324, 0, -342, 0, 0, 0, -336, 0, -14, 0, -160, 0, 90, 0, -2, 0], "hecke_cutter_primes": [3, 5], "level_primes": [2, 7, 23], "relative_dim": 74, "hecke_orbit_code": 33558940, "weight_parity": 1, "level_is_squarefree": false, "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": [0, 0, 0, 0, 17, 17, 20, 20], "newforms": ["4508.2.a.a", "4508.2.a.b", "4508.2.a.c", "4508.2.a.d", "4508.2.a.e", "4508.2.a.f", "4508.2.a.g", "4508.2.a.h", "4508.2.a.i", "4508.2.a.j", "4508.2.a.k", "4508.2.a.l", "4508.2.a.m", "4508.2.a.n", "4508.2.a.o"], "oldspaces": [[14, 1, 1, 8], [23, 1, 1, 9], [28, 1, 1, 4], [46, 1, 1, 6], [49, 1, 1, 6], [92, 1, 1, 3], [98, 1, 1, 4], [161, 1, 1, 6], [196, 1, 1, 2], [322, 1, 1, 4], [644, 1, 1, 2], [1127, 1, 1, 3], [2254, 1, 1, 2]]}