# Stored data for newspace 5077.2.a, downloaded from the LMFDB on 16 April 2024. {"label": "5077.2.a", "level": 5077, "weight": 2, "char_conductor": 1, "char_degree": 1, "char_parity": 1, "sturm_bound": 846, "dim": 422, "eis_dim": 1, "eis_new_dim": 1, "cusp_dim": 422, "mf_dim": 423, "char_order": 1, "char_orbit_label": "a", "char_is_real": true, "trace_bound": 1, "num_forms": 3, "Nk2": 20308, "plus_dim": 206, "AL_dims": [[[[5077, -1]], 216, 1], [[[5077, 1]], 206, 2]], "analytic_conductor": 40.54004910620405, "level_radical": 5077, "mf_new_dim": 423, "char_values": [5077, 1, [2], [1]], "hecke_orbit_dims": [1, 205, 216], "trace_display": [-2, 0, -2, -4], "traces": [422, -2, 0, 420, -2, 6, -4, 0, 426, 4, 0, 0, -6, -6, 10, 412, 0, -12, 0, -22, 2, -2, 6, 16, 418, -12, 0, -10, 2, 12, -2, -12, 24, 8, -18, 440, -10, -26, 4, -2, 2, 10, 2, -6, -4, -28, 0, 8, 402, -10, 6, -30, 4, 46, 4, -72, 6, 0, -8, 10, -6, -48, -30, 424, -8, -54, 2, 14, 34, -4, -18, 24, -14, -16, -52, 4, 6, 72, -28, -42, 470, -16, -32, -16, -38, -32, -18, 0, -18, -60, -46, -10, 10, 28, -26, 0, -12, -24, 28, 424, 2, -84, 24, -70, 2, -68, -30, -8, -20, -42, -24, -34, -58, 44, -10, -46, -26, 72, 6, 48, 422, 24, 26, 18, -18, -72, 26, -26, 0, 10, 20, 4, -10, 16, 26, -62, 6, -24, -18, -16, 112, -42, -70, 424, -56, -64, -92, 18, 0, 72, 12, -84, 24, -22, -6, -152, -8, 64, -2, -40, -22, -96, -52, 56, 126, -24, -30, 30, 374, -156, -2, -100, 60, -52, -66, -28, 96, 4, -8, -52, 0, -60, -44, -34, -76, -30, -32, 30, 26, -104, -36, -8, -14, 36, -22, 266, -32, 38, -48, 8, 50, -50, -26, 6, 20, 102, 48, -110, -20, 10, -26, -104, 68, -74, -106, 62, 12, -78, 62, -58, -48, -152, -28, -98, 488, 28, -16, -36, 10, -36, 38, -132, 40, -2, 26, -42, -58, -116, 18, 0, -36, -96, -30, 72, -16, -146, -90, -126, 120, -64, -8, -192, -40, -68, 2, 452, -74, 80, -192, -110, 32, -148, 132, -160, 18, -50, 124, 34, -66, 122, -84, -164, -28, -66, -2, 122, -10, 20, 86, -40, 16, -42, 46, -36, -78, -94, 10, -66, 374, -92, 168, -176, -44, -30, 40, -156, 84, -26, 10, -128, 4, 10, -94, 6, -112, 80, -6, -156, -40, 44, 80, -74, -68, -50, -114, -180, 52, -158, 28, -58, 174, -92, -110, 456, -46, -86, 0, 8, -92, -164, 10, -140, -52, -28, 110, -106, -68, 32, 10, -120, 22, -348, -50, -214, -94, -122, 114, 10, -14, -184, 64, -156, -24, 134, -60, -46, -56, -2, -76, -314, 370, -138, -32, -320, -224, 50, 70, -62, -108, -118, 14, -212, 6, 12, 104, 142, -94, -62, -12, -342, -130, 100, -132, -28, -168, 46, 54, -140, 22, -22, -50, -168, 2, 100, -52, -100, -30, -236, -102, 268, 104, -436, -36, -58, 52, -30, -138, -204, -62, -136, 18, -108, 2, -242, -82, -360, -158, -72, -82, -392, -84, -232, 30, -210, -110, 114, -238, -322, 38, -156, 194, -212, -10, -158, -126, 152, -172, -8, -68, -74, 476, -162, -72, -88, -44, 10, 18, -74, 44, -210, -4, -208, -28, 150, -6, 82, 10, 46, -74, -78, -42, -132, -58, -8, -72, 28, 80, -150, 82, -220, -126, 130, -80, -58, 86, 114, -84, -26, -68, 88, -236, 190, -50, 470, -18, 272, -22, -162, 38, 154, 58, 118, 0, -14, 18, 74, -84, 138, 4, -124, 290, -66, -154, -268, 28, -28, 86, 220, -136, 214, 8, -66, 26, -82, 8, 2, 122, 100, 64, 192, 90, -136, -96, -126, -114, -34, 58, -136, 386, -4, 0, 82, -128, -72, -18, 218, -50, 202, -142, 106, -4, -10, -142, -58, 58, 98, -50, 158, -78, -4, -56, -80, -148, 64, -62, 140, -82, -332, -154, 148, -6, -70, -148, 538, 34, 150, -54, -106, 48, 436, -50, 18, -120, -8, 6, 610, -48, -266, -132, -184, -10, 54, -54, -24, -104, 120, 220, -242, -120, 148, 120, 260, -70, 24, -286, -106, 2, -24, -126, -38, -122, -98, -80, -94, -64, 290, 68, -114, 296, -108, 6, 110, -66, 276, 6, 16, 76, -160, -62, 8, 64, 256, -48, -202, 422, -66, -84, -2, -124, -346, -204, 20, -76, -4, -4, 50, 70, -84, -122, -10, 46, -30, -82, -26, 6, 178, 54, -120, 50, -136, -112, -106, -116, 62, 126, 146, 84, 196, -10, 18, -52, 92, -250, 154, 12, -270, -66, -148, 44, 82, -22, -192, 84, -244, 80, 376, -2, 56, -182, -198, 468, 238, -176, 46, -184, 138, 274, -32, -10, 76, -56, 146, -40, 94, 70, 52, 28, 236, -130, 46, -64, 440, -56, -132, 144, 298, 122, 312, -84, 76, -240, -4, 254, 164, -146, 64, -78, 12, 118, -96, -16, 126, -206, -94, 62, 198, -168, 160, 666, 38, -90, -144, -196, 352, 452, 14, 130, -112, -22, -184, -290, 204, -232, 28, -140, 186, -74, 22, -150, -378, 208, 242, -80, -182, 274, 60, -76, -100, -286, -238, -58, -236, -304, 208, -8, 144, 142, 236, -6, 172, 402, 208, -108, -32, -186, -44, -66, -210, 144, 56, -86, -70, -24, -14, -64, 244, 164, -2, -68, 128, -12, 184, -180, 108, -72, 134, -32, 90, -20, -234, 150, 38, 220, 464, -100, 90, 282, -124, -118, -260, -34, -90, -108, -270, 188, 242, -28, 340, -224, 44, -62, 146, -140, -8, 498, 68, -114, -274, -46, 236, 218, 114, 88, 576, -34, -6, 162, 76, 72, 294, 354, 186, -122, -334, 154, 626, 210, -404, 38, 318, 40, 128, -66, 294, -94, 54, 162, 28, -138, 62, -242, 306, 48, 134, -184, 70, 44, 96, -38, 20, -32, -294, -64, -158, -400, 518, -4, 232, 288, -238, 218, 108, -94, -286, 38, 224, 50, -26, 22, -46, -6, -170, -116, -20, -278, -88, 234, -176, 112, 700, 22, -208, -402, -212, 106, 266, 136, 208, -78, 160, 336, -522, 42, -36, 56, 80, -40, -146, 38, -248, 188, -222, -50, 10, -76, -20, 178, -198, -96, -140, -150, 442, 368, 352, -204, 36, -78, -214, 52, 258, -260, -116, -70, 16, 92, -294, -16, 158, -214, 414, 184, -210, -176, -132, 204, 86, -78, 144, -98, 226, 230, 300, -360, -124, -416, 194, -166, -218, 184, 164, -28, -340, -114, -344, 106, 216, 50, 368, -26, 70, -230, 28, -266, -246, -52, 316, -152, -238, -2, -210, -26, 116, -134, -142, 154, 274, -158, 214, -138, 78, 134, 428, 76, 20, 122, 158, 134, -614, -24, -242, 220, -340, -108, 330, 254, 54, -180, 242, -242, -352, -216, 280, -292, 80, -162, 76, -138, -478, 240, 148, -54, 362, -132, -356, 196, -428, 2, -12, 138, -284, -70, -46, -88, 0, -14, 330, -168, -254, 148, -100, 60, 162, -110, -80, -2, -106, -362, -72, 30, 370, 208, 270, -6, 300, 104, -114, 430, 212, -114, 318, 160, -26, -122, -114, 112, -32, 30, 756, 200, 76, -132, 28, -360, -140, -144, 200, -118, -224, 610, 194, 38, -148, 106, 104, -222, -246, 246, 318, -46, 284, 150, 420, -140, 696, -280, -280, 334, 374, 62, -110, 166, 270, -160, 84, 18, 680, 136, -162, 296, 144, 96, -254, -26, -228, 42, 396, -112, -98, 26, 610, 248, 318, -56, -634, 410, -148, -46, -112, -106, 110, -52, 426, -156, -194, -42, 114, -126, 200, 224, -298, -148, -174, 168, 60, -246, -4, -180, 108, -116, -362, -48, 244, -228, 494, 492, -294, 182, -370, 108, 192, 26, 54, -62, -200, -176, -140, 16, 462, -110, 248, 0, -24, -286, -160, 426, -10, 38, 286, -26, 256, -204, 434, -92, 694, -16, 166, -134, 172, 176, 420, -374, -256, -154, -276, 314, 460, 172, 110, -66, 340, 30, -308, -94, 196, 222, -88, -64, 274, 254, 88, 254, -384, -318, -164, 180, 76, 182, -220, 374, 132, 28, 6, 392, 308, -216, 350, -178, 358, -430, -212, 220, 80, -182, 82, -272, 528, 0, -204, -128, -96, -198, 266, -16, 138, -80, -34, 220, -50, -102, -66, -80, 418, 386, -870, -352, 282, 296, 426, 830, -238, -172, 62, -406, -418, -324, 174, 126, -628, -108, -20, -76, 220, -94, 388, -82, 190, -428, 10, -122, -480, -216, -538, 184, 160, 446, 660, -142, 54, 58, -80, 24, 658, -162, -58, -302, -80, -162, 162, -86, 14, 166, 466, 84, 86, 222, -34, -268, -328, -164, -632, -210, -436, -770, 130, -230, 200, 106, -52, 796, 566, -108, -330, -228, -678, 18, 158, -90, 444, -40, 870, -30, 132, 78, -390, -282, 24, 226, -314, 204, 342, 124, 490, 140, -208, -290, -12, 100, 64, 102, 198, 170, -382, -166, 82, -272, 576, -148, -410, 134, 54, -378, 428, -104, -30, 390, -692, -6, -330, -114, -682, 154, 388, -180, -134, -178, 568, -226, 208, -248, 614, 86, 184, -18, 334, 46, 34, 24, 306, 4, -704, 466, 198, -148, -18, -278, -120, -260, -124, -178, -154, 28, -40, -232, -232, -192, 546, -90, -782, 44, 68, -28, -42, -78, -88, -186, 0, -60, 92, 64, -288, -274, -208, -124, -110, -370, -32, -2, 60, -158, -1250, 172, 672, -274, 360, -340, 280, -50, 70, 708, -32, -50, 628, 310, 384, 506, -382, 384, 184, -200, -586, -16, 514, -492, 352, 76, 12, -430, -98, 60, 116, 352, -398, -48, -602, -232, -144, -96, 70, 196, 164, 48, -190, -36, -50, -42, 330, 204, -634, 198, 472, -346, -178, -12, 130, -450, 612, 156, 18, -38, 198, 258, -66, -404, 532, 146, 722, 20, -122, -116, -102, -230, 134, 70, -82, -200, -56, -168, 294, -88, -526, 626, 1088, -14, -652, -344, -414, 62, 230, 368, -920, -142, -366, -146, -232, 34, 796, 132, 610, -132, 24, -206, 254, -486, -48, 136, 612, -62, 502, 114, -46, -206, 98, 196, -144, 374, 224, -376, -398, 32, -616, 58, 342, -368, -164, -384, -820, -56, 60, 94, 180, 202, 246, -110, 200, -702, 86, -48, -268, -346, -806, -396, 70, 34, -928, 362, 842, -256, -290, 54, 894, -516, -654, 950, -472, -584, 236, -202, 282, 296, -222, 416, -426, -70, 438, 66, -10, 30, -806, -126, 16, 96, -186, -136, -732, -314, -88, 158, -156, -158, 0, -92, -56, -504, -122, -332, -48, -122, -722, 90, 88, -336, -100, -114, -308, -528, -314, -196, -434, 32, -58, 792, -272, -570, -20, -264, 188, -190, 106, -122, -496, 250, -224, -324, 224, -524, 126, -404, 436, -222, -60, -396, 364, -338, -914, -180, -446, -500, -240, 112, 118, -576, -52, -208, -258, -446, -224, -594, -274, 270, -604, 328, 450, -758, -722, -586, -214, -192, -680, 556, -478, 20, -130, -258, 282, -388, -668, 20, -256, -60, -152, -134, 126, -170, -146, 34, 42, -416, -994, 138, -710, -122, -980, 154, 140, 230, 538, -276, 476, -214, -120, 218, -272, -92, 606, -282, -572, -40, -460, -154, -466, -2, -102, -80, -608, -14, -78, -228, 226, 72, 116, -82, -64, 364, 448, 328, 580, -34, 36, 184, 382, -78, -632, -254, -982, -836, -42, -304, 660, 94, 264, 958, 156, -114, -384, 158, 82, 148, -502, 90, 678, -670, 288, -148, 442, 298, -644, 12, -164, -24, 68, 104, 652, 260, 308, -280, 344, -142, -632, 108, -254, -142, -166, 410, -164, 266, -216, -298, -4, -286, 322, 66, 188, 52, 576, 26, 232, 146, -322, 338, -432, -488, -404, -368, -120, -100, 784, -64, -22, 374, 308, -250, -24, -238, 248, 188, 654, -536, 110, 116, -24, -94, 196, 12, 50, -22, -234, 590, -6, -154, -82, 46, 108, -54, 566, 404, 234, -278, -954, 452, -80, 260, -172, -42, 224, -216, -366, 552, -90, 30, -262, 44, 568, 222, -160, 206, 412, -132, 270, 288, -332, -294, -410, 188, -486, 262, 476, 144, -16, -92, 202, 94, 128, 308, -570, -374, 166, 22, 366, -6, -618, 22, -250, -232, 230, 520, 664, 282, 254, 198, -218, -260, 272, 450, -230, 766, 270, 120, -1422, -198, 810, -28, -202, 210, 160, -26, 274, -20, 14, 100, 222, 28, 126, 162, 90, -182, 748, -4, 326, 238, -220, 134, -58, -162, 338, -222, 944, -198, -302, -592, 330, -280, -94, 88, 358, 516, 472, -52, -132, 44, -452, -258, -200, 380, 308, 346, -42, 104, -356, 80, -4, 52, 0, -114, 166, -92, 220, 818, 392, 292, 206, 86, -8, 106, 186, 478, 400, 398, -310, -346, -934, -420, 120, -98, -110, 360, 706, -66, -16, -58, -434, 394, -516, 330, -292, 180, 484, 340, -546, -26, -610, 172, 0, 230, 624, -158, -452, -366, -414, 320, -206, 58, 78, 452, 340, 12, -104, 42, -478, 562, -662, 340, -60, 196, 354, 1210, -50, -98, 134, 84, 446, -136, 374, 250, 8, 426, 238, -370, -616, 112, 212, -404, 532, -424, 128, 180, 384, 168, -332, 1310, 104, 414, 638, -180, 548, 762, -194, 176, 194, 452, -804, 496, -232, 92, 86, 436, 704, -418, -34, -110, -266, 106, -116, 506, 122, -484, 92, 106, -290, 740, 582, 220, 142, 334, -90, 434, -154, -262, -834, 162, 146, 98, 32, -180, -40, 590, 264, -486, -502, 314, -1032, -430, 334, 218, 306, -178, -152, -26, 574, -262, 902, 292, -228, 36, 576, 340, 424, 186, 1052, 98, -54, 996, -338, 100, -638, -382, -454, -318, -578, 192, 450, 378, 70, -450, 162, -50, 64, 56, 122, 424, 94, 408, -1160, 226, 576, 628, 176, -122, -532, -362, 312, 220, 458, -138, -1122, -376, -950, -434, -824, 314, -514, 298, -378, 22, 130, 82, 64, -142, 218, -76, -402, 26, -690, -64, -584, -78, -188, -306, -928, 188, 30, -266, 666, -198, 102, -142, 286, 162, -492, 82, -840, -82, 504, 196, -288, -40, -200, -672, 94, 762, -252, -334, -358, 320, -216, 204, -280, -132, -1132, 786, -556, -348, -976, -346, -1220, 276, 52, 260, 302, 696, -684, -130, 674, 480, 284, 52, -142, 576, -776, 332, -456, -156, -604, 512, -10, 160, -402, -264, -190, 300, 618, 474, -482, 246, -54, -686, 408, 154, -568, -186, -954, -182, -732, 62, 6, 48, 926, -412, 380, -238, 118, -64, 56, -366, -272, 230, -384, -308, -352, -592, 192, 458, -362, 56, -268, 6, -76, -182, 98, -70, 178, -378, -178, 304, -360, 160, 454, 356, -236, 360, 86, 378, 232, -180, 458, 166, 74, -68, -886, -104, -252, -202, 232, 522, 380, 28, -262, -276, -1010, -112, -640, -304, -122, -32, 62, 546, 258, -202, 540, 470, 312, 408, 238, 154, -174, 536, 80, 184, -168, -104, 246, -702, -646, 176, 484, 94, -226, -90, 536, -222, -1010, -272, -654, -70, 166, 320, 710, -8, 1076, 502, 958, 386, -124, 114, 508, 432, -112, 154, -220, 166, 788, -70, 88, 86, -174, 40, 56, 740, 36, 170, 154, 106, -364, 382, 414, 396, -150, -504, -372, -38, -326, 122, 584, 216, -750, 384, 64, -514, 84, -276, -238, 290, 276, 456, 654, 294, 286, -960, -294, 124, -974, 446, 544, 44, 18, 110, -392, -352, -194, -198, -270, 136, -614, 220, -260, 566, 444, -456, 1024, -82, -314, -258, 4, 466, -140, -514, -90, 276, 148, 804, 288, 164, -296, -24, 122, 302, 182, -94, -82, -900, -862, -374, 278, 358, 596, 856, 374, 216, -518, 54, -226, -440, 412, 112, -644, 294, 202, 594, -908, -480, 396, 58, 28, -292, 288, -234, -512, -8, -354, 406, 76, 48, 196, -250, 148, 490, -68, 8, -1456, 52, 16, 736, 360, 226, -660, -378, 574, -132, 688, -118, -126, -188, -244, -148, -110, -330, -278, 724, 168, 244, 674, 22, -496, 616, -448, -194, -118, 136, -340, -8, 98, 608, -544, 86, 584, 326, -686, 448, 44, -198, -1142, 162, -820, -140, -906, -324, 494, -54, 514, -78, 954, 298, -818, -206, -228, 484, 10, 164, -896, 132, -466, -248, 122, 212, -32, -10, 558, 278, 830, -42, -2, -214, -954, 858, -336, -554, 26, -338, -352, -288, 576, -496, 350, 384, -28, -174, 356, -280, -390, -638, 1018, -74, 80, 128, -256, 56, -108, 858, -142, -198, -358, -432, 688, -104, 294, -236, -834, 388, 74, 12, 446, 126, -532, 140, -300, -686, -92, -624, 38, 422, -560, 952, 418, 356, -1778, -28, 398, 470, -754, -108, -1876, -184, -376, -598, 276, 134, -174, -38, 688, 608, 944, 210, -226, -96, 1066, 540, 214, 6, -520, 304, -86, 110, 408, -128, 218, 306, 98, -176, -126, -126, 1048, -94, 20, 276, -470, 112, 148, 20, -6, 62, 6, 42, -396, -372, -654, -300, 58, 100, 540, 686, 968, 256, -490, -14, -1874, -420, -110, 222, 156, 480, -546, -528, -902, 498, 470, -368, -492, -472, -580, -882, 716, 752, 584, -158, -324, -366, 478, -162, -790, -66, 306, -604, 236, 724, 824, 310, -424, -326, 154, 54, -476, -688, 0, 422, 568, -464, -560, 214, 284, 172, 1088, 290, 706, 102, 36, -600, -882, 288, -1004, 74, -258, 60, 826, -152, 2006, -98, 144, -778, 1078, 192, -896, -160, 212, 520, -102, 642, -434, 2, 86, -226, -92, -424, -1462, 116, 192, 280, 804, 74, -26, -320, 74, 48, 258, 316, 506, -18, 722, 58, -52, 280, 296, -190, -496, -70, 74, 954, 1994, -170, 268, -138, 876, -136, -684, 612, -464, 568, 1138, -484, 484, -148, -18, -260, -100, 132, 12, -34, -224, 282, -168, 116, 192, 198, 704, -198, 1028, 258, 634, -228, -240, 472, -172, 228, 206, 270, 68, 768, -108, 550, -466, -10, -1118, 178, 42, -454, 816, 496, 52, 140, -124, 156, 490, -324, 1384, 46, 1212, -128, -524, 216, 88, 198, -206, 340, 194, -420, 636, -618, -612, 154, -274, 62, 394, 972, 810, -294, -1420, -148, 376, -350, 492, 212, -74, 464, 568, -72, 260, 170, -798, -48, -128, 248, 256, -10, -286, 424, 398, 410, 50, 356, -414, -302, 210, 488, -282, 38, -1018, -366, 138, 72, -44, -376, -702, -232, -16, -1074, 262, 734, 1154, 568, 132, 104, 348, -222, -1082, -308, 84, -292, 96, 178, 122, 278, 224, -74, 806, 298, 2080, -214, -328, -70, -582, 256, -848, 556, 648, 600, -212, 202, 862, -848, -340, 210, 398, -612, -180, 84, 326, -168, -780, -302, -320, 440, -696, 370, -908, -192, -6, 404, 1042, -578, 534, -158, 712, -240, 80, 298, 68, -372, 192, -506, -228, 208, 388, -208, -286, -160, 574, 100, 540, -134, -374, 190, -624, -896, 268, 74, -1100, -314, -692, -8, 116, -50, -644, 12, -1576, 228, 542, 774, 692, -388, -394, 182, 252, 568, 866, 368, 654, -138, -286, 68, -452, 46, 896, -36, 224, -292, 28, 334, 670, 80, -170, 362, -1250], "hecke_cutter_primes": [2], "level_primes": [5077], "relative_dim": 422, "hecke_orbit_code": 33559509, "weight_parity": 1, "level_is_squarefree": true, "level_is_square": false, "level_is_prime": true, "level_is_prime_power": true, "char_orbit_index": 1, "prim_orbit_index": 1, "conrey_index": 1, "ALdims": [206, 216], "newforms": ["5077.2.a.a", "5077.2.a.b", "5077.2.a.c"], "oldspaces": []}