# Stored data for newspace 4011.2.a, downloaded from the LMFDB on 23 April 2024.
{"label": "4011.2.a", "level": 4011, "weight": 2, "char_conductor": 1, "char_degree": 1, "char_parity": 1, "sturm_bound": 1024, "dim": 191, "eis_dim": 7, "eis_new_dim": 0, "cusp_dim": 509, "mf_dim": 516, "char_order": 1, "char_orbit_label": "a", "char_is_real": true, "trace_bound": 2, "num_forms": 13, "Nk2": 16044, "plus_dim": 76, "AL_dims": [[[[3, -1], [7, -1], [191, -1]], 28, 2], [[[3, 1], [7, -1], [191, -1]], 19, 1], [[[3, 1], [7, 1], [191, 1]], 19, 1], [[[3, -1], [7, 1], [191, -1]], 19, 2], [[[3, 1], [7, -1], [191, 1]], 29, 2], [[[3, -1], [7, -1], [191, 1]], 19, 2], [[[3, 1], [7, 1], [191, -1]], 29, 2], [[[3, -1], [7, 1], [191, 1]], 29, 1]], "analytic_conductor": 32.02799625073556, "level_radical": 4011, "mf_new_dim": 191, "char_values": [4011, 1, [2675, 2866, 2311], [1, 1, 1]], "hecke_orbit_dims": [1, 1, 1, 1, 3, 18, 18, 19, 19, 26, 27, 28, 29], "trace_display": [1, -1, 10, -1], "traces": [191, 1, -1, 197, 10, 5, -1, -3, 191, 14, -4, 9, 18, -3, 10, 213, 30, 1, 12, 38, -1, 20, -8, 9, 209, 22, -1, -7, 10, 6, 8, 5, -4, 2, -6, 197, -14, -60, 18, 46, 22, -3, 20, -52, 10, -24, 32, 1, 191, 7, 14, 22, 2, 5, 72, -15, -20, -58, 4, 38, 10, -24, -1, 205, 52, -4, 4, 10, 16, 6, 16, -3, 38, -26, 17, 76, 4, -10, 56, 126, 191, 26, 68, -7, 12, 44, 18, -28, 30, 14, -14, 16, -16, 56, 32, 33, -50, 1, -4, 323, 2, -14, 24, 6, -6, -34, -44, 9, 50, 16, -6, 1, 14, 36, 8, 30, 18, -44, -10, 14, 195, 6, -34, -56, 84, -3, -8, -3, 20, 76, -36, -52, -12, -20, 10, 74, 6, -56, -52, 14, -16, -136, -24, 213, 68, 98, -1, -50, -22, -45, -56, -116, 30, -20, -88, 14, 2, 32, -6, -74, -24, 1, -28, -46, 8, -36, -40, 9, 193, -44, 12, -52, 34, -74, 1, -188, -36, -126, 4, 38, 122, -26, 34, -16, 116, -64, -136, 24, -1, -56, -1, -47, 14, -158, -44, 197, 2, 20, -96, -149, -4, -26, 2, 58, 12, -88, -8, 14, -40, 14, -68, -26, 40, -188, -64, 9, -8, 62, -58, 72, 28, 46, -40, -63, 209, 18, -92, -140, 18, -200, 12, -202, 22, 22, -96, 4, 0, 2, -152, 110, -58, -163, -1, 6, 10, -30, -32, 48, -4, 84, -172, -7, 48, -16, -76, 341, -34, 4, 10, 76, 10, 60, 16, 44, 108, 36, 14, 68, 18, 6, -56, -102, 2, -14, 36, 136, 2, -4, 8, -42, 118, -32, -212, 184, 24, -136, -18, 5, 229, 124, -34, 186, 178, 5, 112, 38, -4, 86, 16, 87, -28, -120, -70, 340, 132, 2, -20, -20, -48, 24, 0, -18, 70, 134, -6, 72, 114, 46, -72, 310, 84, -72, 128, 197, 254, -12, 18, -30, -8, -104, 4, 28, -14, 64, 96, -31, 86, -129, -42, -116, 216, -60, -1, -116, 48, -58, -140, -10, 66, -61, 18, -44, -18, 76, 152, 114, -2, 36, 24, 46, 139, -66, -5, -10, 204, 6, -168, -32, 22, -4, -22, -64, -102, -40, 60, 232, 44, -3, 68, 248, 0, 13, 16, 1, -8, 186, 20, 162, 130, 4, 56, -3, -52, 110, -104, -52, 170, 0, 28, 467, 6, -12, 112, -42, 10, -26, 56, 42, 214, -44, -10, -168, 4, -24, -104, 150, -76, -56, 124, -42, 74, -76, 32, -130, 306, -88, 26, -340, 40, 104, -80, 1, -10, -8, 92, 54, 136, -86, 80, 80, 191, -132, -76, 22, 76, 496, -86, -15, -18, 7, -64, -86, -40, -236, 76, 140, -58, 150, 14, -16, 234, -28, 96, -74, -56, 50, 108, 22, -36, -144, -110, -220, -16, -32, 12, 18, 2, 64, 32, -18, 100, 90, 0, 329, 372, 5, 40, 62, 76, 14, 4, -126, 44, 96, 72, 120, -72, -28, -36, 220, -24, -332, -8, -15, -44, 0, -151, -40, 2, -60, 38, -11, -20, -46, 160, -36, -112, -114, 10, 156, 126, -58, -188, 148, -31, -72, 128, -4, 311, -68, 4, -92, 28, -142, -32, -92, -92, -34, -4, 38, -14, -432, -38, -110, 172, 6, -204, -38, 10, 212, -48, -168, -32, 38, -100, -180, 114, -24, -336, 110, 24, -134, 148, 16, 268, -228, -1, -464, -66, 40, -140, -96, -1, 34, 152, 205, -274, 107, -18, -92, 20, -86, -24, 226, 52, 286, -100, 9, -280, 48, -46, -130, -130, -4, 20, 302, -48, -136, -40, -113, 270, 44, 4, -184, 242, -50, -72, -468, 2, -308, -136, 10, -166, -188, -76, -132, 70, 96, 76, -512, 16, 320, 30, -34, 355, 282, -64, -82, 124, 6, 16, -72, 92, -362, -432, 174, 18, 24, 16, 38, 6, -180, 52, -168, -64, -40, -152, -3, 48, -382, 0, -268, 194, -74, 40, -62, 38, 96, -132, -8, 98, -468, -60, 196, 40, -26, -168, -360, -72, -440, -344, -15, 94, -86, 17, 155, 306, 10, -58, -172, 36, -336, -4, 76, -84, -3, -6, -492, 436, 192, -132, -506, 4, -4, -8, -402, 180, -82, 14, 135, 106, -10, -280, -476, 128, -86, 74, -20, 242, -448, 56, -366, 80, -54, -176, -236, -32, -40, 72, 126, -104, -163, -114, -34, 110, 305, 0, -106, 191, -188, -288, 174, -158, -536, 10, 88, 88, 26, -204, -572, -72, -18, -200, -8, 452, -114, 68, -296, -76, -116, 8, -400, -76, 68, -72, -7, 138, 28, -32, -376, 110, 80, -46, -7, 12, 136, -368, -159, 198, -40, -18, -494, 66, 44, -192, -454, -6, -530, -224, -180, 112, -256, 18, 213, 404, -140, -180, -194, -40, -360, -34, -28, -276, -426, -36, -208, 258, 36, -176, -813, 30, -454, -384, -124, -64, -504, -14, -338, 22, 14, -332, -114, -72, -328, -368, 178, 224, -302, -14, 116, 90, -158, 128, -608, -28, -12, -316, 16, -286, -88, -38, -274, 30, 196, -288, 408, -16, 52, -64, 54, 329, -146, -82, -372, 566, 56, 43, -234, 204, -18, -424, 136, 218, 110, 32, -244, 438, -344, -236, -272, -2, 272, 0, 33, 100, -414, -115, -144, 232, -156, 48, 438, -50, 200, -84, -454, -30, -56, -102, -336, 174, 1, -132, -284, -88, -188, -40, 126, 0, -92, -4, -288, 240, 110, -80, -31, 8, 234, -456, 323, -52, 400, 4, -142, 244, 144, -44, -404, 2, -172, -320, -364, 24, 170, -60, -274, 4, -14, -200, -640, -36, -154, -232, 44, 142, 8, 24, -162, -386, -240, 12, 18, 112, -332, -440, 6, 102, -76, -90, -64, -102, -26, -248, -100, -6, -232, -308, -192, -36, -396, 26, 26, -290, -34, -6, -424, -152, -472, -58, 254, 335, 388, -44, -334, 196, -72, -40, -159, 16, 276, 4, 9, 156, -168, -50, -258, 126, -260, 56, 38, 50, -228, 136, -326, -4, 212, 0, -672, -440, 16, -288, 400, -108, 120, 224, 20, 154, -556, -6, -316, -64, -120, -148, -436, -100, -296, -168, 1, -14, -188, -98, 368, 250, 235, 16, -184, 14, 334, 324, -484, -278, -174, 116, 757, 450, 36, -112, -30, -1, -176, 24, -124, -78, -200, 8, 6, 116, 6, 112, -28, 260, -350, 10, 30, -92, 580, -158, -20, 230, 67, 76, 152, 18, 344, -192, 108, 88, 289, 18, -300, 274, -44, -240, 140, -80, -4, -32, -6, 226, 320, -10, 324, 188, 180, 64, 318, -96, 20, -24, 14, 224, -98, -29, 200, 80, 166, -144, -46, 195, 60, 44, 78, -106, 228, -188, -182, 382, 6, 26, -116, -256, 160, 128, 368, 384, -176, -34, -50, 218, -284, 136, 156, -18, -202, -600, -56, -150, 384, -22, -122, -384, -176, -164, 674, 84, 76, -8, -240, 6, -340, 44, -604, 192, -3, 140, 584, -220, 378, -96, 8, -164, 76, -8, 360, 188, -3, -304, 114, 64, -552, 96, -3, 230, -206, -24, -89, 332, 58, 164, 452, 20, -36, -132, -142, 28, 184, -102, 274, 0, 76, -92, 710, 64, -204, 344, 9, 0, 520, -36, 288, 202, -322, 9, 78, -4, 354, 132, -52, 364, 28, 178, 166, -98, 392, 264, 88, -12, 112, 336, 303, -298, 274, 142, -212, 460, -20, -8, -448, 32, -146, 82, 30, 62, 168, 10, 636, 174, -34, 192, -44, -128, 184, 24, 74, 209, 110, 6, 156, 82, 180, -296, -4, 6, 322, -576, 80, -78, 244, -12, -24, -28, -56, -164, 8, 152, 170, 96, 70, 390, -675, -52, 954, -52, -176, -144, 278, 260, -748, 348, 14, 276, -32, -102, -264, 40, -20, 2, 102, -16, -296, 376, -186, -40, 22, -130, 0, 498, -136, 520, 374, -22, 10, -548, 316, 572, -156, -24, -200, 22, 72, 252, 704, -152, 368, 92, 213, -114, 560, 238, 594, 426, -32, 208, 244, 68, 6, -124, -370, 84, -48, 56, -742, 700, 98, 208, -192, 72, 292, -32, -64, -258, 566, -1, 308, 118, -356, -328, 220, 60, 88, 264, -50, -344, 192, 116, 152, -1, 96, -16, -488, -22, -24, 80, -31, 88, -102, 70, 2, -168, -45, -66, -229, -168, -58, 64, -150, 176, 34, -56, -380, 390, -60, -72, 528, 36, -92, -32, -116, 177, 596, 6, -7, 106, -66, -72, -44, 30, 68, -22, 48, -6, 84, -10, -10, 156, -20, 320, -500, 32, -216, 24, 246, -96, -132, -88, 86, -80, 162, 352, -161, -108, -226, -144, 14, 364, -424, -36, -52, 214, 240, -352, 122, 2, -74, -208, -196, 12, -378, 176, 248, 10, 32, 68, 650, -124, -176, -108, -14, 2, 352, -6, 148, 102, 0, -28, 512, 16, -160, 168, -74, 40, 232, -52, 361, 462, 218, -184, -810, -24, -254, 284, -307, 66, 216, -84, 30, -360, 1, 68, 124, -216, -168, 56, 166, 224, 270, -28, 16, 308, 6, -208, 136, 28, 384, -12, -46, 28, -236, -108, 668, 22, 128, 652, -138, 8, 208, 312, -240, 38, -524, -8, -738, 114, -36, -248, -408, 76, 12, 140, 308, 120, 256, -40, 376, -64, -388, 16, 404, 84, -400, 96, 9, -420, -18, -164, 36, -44, 240, 8, 640, 193, -342, -12, -384, 222, 150, 178, 33, 152, -44, 244, 424, -50, 560, 704, -143, 108, -62, 12, 304, 16, -230, -8, 234, 136, -434, -124, -52, 26, -800, -16, 418, 222, 62, 132, 414, 34, -240, 456, -60, -184, -384, -98, -384, 388, -74, 224, 5, -172, -52, 76, -188, -86, -332, 1, -66, -280, -392, -124, -1352, 24, 26, -136, -188, 564, 548, 231, 158, -44, 196, 312, -192, -36, 294, -48, -12, -206, 336, -12, 59, 150, -126, 22, 426, -24, -296, 120, -20, 142, -232, 4, 24, -358, -194, 144, 214, -4, 154, 164, 38, 90, 300, 50, -50, 176, 256, -260, 968, 122, 128, 38, -54, 8, 496, 4, 122, -62, -26, 152, 20, 60, 374, -128, 170, 48, -720, 34, 0, 444, 68, -48, 60, 60, -60, 56, -16, 54, -74, -16, -472, -424, 102, -48, -66, 116, 2, 468, -244, 58, -480, 66, -72, 64, -64, -356, 404, 40, 200, 256, -106, 325, -305, -136, 614, 292, 50, -34, -244, -44, -1182, -128, 24, -102, -127, 68, 582, 174, -124, 196, 382, -1, 560, -504, -24, 4, -170, 62, -90, 434, -56, -80, -1036, 36, -358, -6, 512, 132, -36, -1, 152, 214, 122, 84, -488, 40, -528, 8, -47, -88, -628, -34, 34, 210, 623, -520, 128, 14, 512, 32, 420, -518, -440, 12, -146, 460, -158, 308, -32, -152, 164, 72, -398, 166, -874, -44, -456, 44, 278, 228, -600, -116, 378, 32, 197, 164, -108, -80, 124, 468, 312, 112, 588, 2, 736, 632, -394, 246, -160, 286, 260, -524, 20, -184, 1312, -76, 200, -124, 14, -270, -656, -96, -287, 96, -80, 304, -574, -232, -568, 214, -149, 174, -180, -74, 56, 194, 60, 296, -830, -4, 220, -164, 56, -14, -812, -114, -636, -576, -26, 96, 244, -24, 200, 360, 668, -38, 208, 2, -118, 72, 212, 184, 270, -96, -116, -144, 58, 72, -744, -214, 400, 56, -196, -256, 950, 12, 24, -336, 4, 243, 122, 94, -632, -316, -88, 28, -586, 156, -310, 420, -176, 218, -60, -8, -78, 172, 232, 52, -76, -34, -272, 512, 14, -486, -206, 483, -124, 106, 330, -256, -1440, -40, 46, 98, -82, -96, 176, -12, -804, 206, 14, -32, -232, -152, 508, -496, -56, -32, 132, -68, -92, 154, 326, 280, -78, -232, -782, 76, -26, 392, -18, 18, 272, 70, -440, 184, 792, 40, -78, 312, 174, 620, 33, 246, -388, -164, -188, 16, -574, 44, -644, -44, 32, -146, 56, -64, 385, 524, 88, -54, -268, -144, -292, -184, 9, -212, -108, -96, 280, -262, -230, -128, -754, -8, 26, 272, 228, -600, -664, 362, 46, -76, 62, -736, -516, -88, 408, -10, -326, -8, -404, -58, 348, -158, 128, 192, 768, -52, -208, 332, 72, -36, 368, -182, -144, 252, 196, -396, -120, 28, -216, 312, 292, 270, 382, 84, 172, 642, 46, 536, 348, -96, 112, -708, 48, 276, -432, -40, 316, 22, 280, -44, 184, -192, 144, -328, -63, -146, 362, -130, 420, -24, -222, -83, 8, 209, 254, -180, 111, -662, 276, -150, -32, 120, 18, 344, 406, 62, 444, 256, -132, 12, -434, -92, 186, -28, 352, 288, 485, -196, -362, 194, -140, -206, 1240, -76, 218, -410, -3, 444, 264, 18, -112, -136, -36, -8, 650, 124, -88, -142, -200, 312, -202, -76, 660, -228, -250, -200, -56, 12, 708, -138, 316, 140, 986, -184, -130, -424, -202, -234, -56, 60, -228, 192, 614, 48, 132, 22, 274, -916, -57, 28, 316, 42, 256, 964, 22, 20, -80, -312, 400, -168, 44, -66, 56, -96, 765, 836, 530, -296, -348, -62, -2, 192, 4, 52, 1000, -22, -20, 486, -440, -52, -100, 0, 320, -244, -38, -338, -250, -88, 168, 202, 2, -560, 108, 144, 220, 184, -236, 92, 716, -152, -170, -130, -88, -272, -52, -176, 680, 672, 110, 246, -472, 8, 102, 228, -639, -656, 320, -58, 272, 168, 198, -252, -336, 358, 194, -32, -163, -300, 1164, -352, -28, -216, -114, 96, 166, -1, -596, -448, 812, 38, 266, -268, 698, -80, 6, -60, 94, 178, -756, 88, 272, -420, 344, 10, 240, 80, -104, 407, -528, -216, 320, 378, -30, 424, 254, -356, 270, -46, -172, -334, -800, -32, -716, 722, 86, 88, 750, 120, 632, -456, 48, -280, 478, 252, -352, -206, 182, 96, 158, -4, 128, -444, 56, -732, -76, -108, 26, 164, 84, 172, 260, -144, -24, 168, -120, 212, 170, -172, 588, -24, 292, -84, -708, -264, 88, -116, -7, 146, 192, -54, -160, 318, 284, 166, -206, 48, 248, 416, 136, -242, -44, -106, 428, -388, -16, -8, 736, 2, 172, -72, -7, -110, 120, -76, 154, -10, 352, 604, -320, -416, -144, 32, 341, 140, 234, 30, -1078, -662, 56, -352, 439, -34, 468, -384, -318, -108, 8, 66, -332, -48, 4, -88, 340, -352, -268, -96, -350, 332, -540, 10, 280, -46, 254, 356, 658, 208, 160, -36, 76, 378, -140, 288, 502, 152, 192, -116, 636, 10, 512, -208, 1, 52, 192, 548, -200, 10, 60, 14, 88, -76, -186, 104, 118, 40, 43, 16, 374, 80, 352, -44, -854, -58, 52, 192, 44, 254, 180, -228, 44, 458, -106, -248, 1670, 108, -22, 176, 256, -422, -160, 106, -792, 358, 36, 48, 136, -144, 200, 16, -257, 191, 658, 14, 266, 584, 218, 280, -100, -4, 372, -60, 68, -392, -480, 16, -728, 398, 56, 16, 646, 18, 334, -896, -218, -670, 134, -122, 208, -188, 6, 240, -612, -204, 730, 8, 158, 242, -160, -56, -868, -530, 536, -126, 200, 48, 424, 536, -102, -136, 7, 272, -290, 48, -150, -360, -740, 2, 694, 764, 540, 176, 440, -38, -452, -40, -14, -348, 618, -56, 608, -10, 336, 374, -10, 36, 844, 330, -180, -336, -136, 180, -140, -14, 136, 124, -512, -110, 960, 120, -96, 128, -86, 2, 504, -224, 206, -176, 482, 14, 1217, 308, -4, 456, 618, 192, 228, -616, -776, -156, -40, 8, 494, 88, 84, 128, 1284, -64, 596, 488, -42, -218, 148, 185, 528, 422, 542, -13, -1144, 118, -336, -356, 68, 172, 150, 158, -770, -496, -32, 132, -512, -101, 880, -344, 262, 204, 24, -212, 22, -142, 238, 408, 608, 192, 662, 324, 184, 570, 800, -198, -26, -4, -50, -228, 586, 24, -12, -680, -100, -64, -268, 254, -476, -504, -136, -248, -360, -60, 330, 148, 232, 420, 1068, -18, 424, -72, -240, -232, -232, 240, -276, 248, 5, -658, -1038, -500, 72, 2, 410, -144, -342, 229, -154, 192, 112, 60, 8, -112, -492, -106, 124, -38, 822, -40, 668, -232, 118, -314, 632, -34, 568, 210, 464, -384, -518, -108, -204, -168, 186, -424, 472, 18, 200, -34, -40, -320, -836, 178, 96, 260, -424, -536, -510, 250, 1166, -46, 5, -288, -452, -100, 458, -296, -172, 116, -80, 112, 324, -330, 476, 220, 280, -120, -864, -464, 38, -408, -872, 16, 544, -356, -916, -32, -416, -4, 29, -780, 24, -150, 712, 616, -1200, -88, 86, -564, -568, 152, 392, -664, -47, 374, 684, 16, 458, 66, 538, 72, 1106, -152, 384, 108, 87, -228, 58, -396, 547, -68, 104, 20, 1094, -28, 88, 8, 370, 302, 824, -84, -150, -304, -120, 280, 460, 36, 434, -182, 140, -70, -184, -70, 480, 206, -92, -364, -236, 256, -48, -544, 340, -8, 991, -224, -236, -166, 106, -464, -15, 132, 350, -632, 22, -734, 184, 76, -292, 574, 2, -336, 828, -120, 158, 760, -56, 128, -66, -20, 668, -168, -290, 72, 142, 128, 572, -560, -20, 312, 968, 198, 308, 206, 0, 170, 96, -48, 1040, 48, -530, 508, -232, 110, 1028, -70, 24, 176, -762, -20, -432, -1184, 450, 226, 224, 0, 207, -250, 212, -508, -74, -64, 352, -146, -18, 53, 1284, 246, -520, -556, -132, -504, -308, 70, 754, -276, 784, -80, -1232, 146, -430, 66, 134, 384, -90, -432, 16, -544, -452, 582, 340, -6, 582, -774, 496, 328, -552, 28, -58, -332, 72, 12, 192, -268, -550, 88, 156, -388, 424, 114, 460, -584, -46, 382, -106, -106, -800, 490, 46, 30, -308, 26, 498, 136, 96, 64, 236, -72, 160, -190, 400, -112, -576, 118, 920, -96, 310, -128, -888, 191, -96, -188, -468, -88, 177, 84, 50, 4, -318, -184, 912, -48, 302, 142, -72, 48, 426, -168, -924, -360, 765, -104, 142, 128, 344, -390, -324, -8, 46, 84, -416, -24, 197, -158, 988, 52, -780, 224, 152, -336, 496, 254, -240, -800, 862, -772, 1036, 342, 278, 100, -12, 248, -1232, -120, 1436, -92, 38, -196, 608, 18, -120, 88, -148, -6, 1664, 256, -556, -272, -30, -506, 4, 220, -412, -78, 196, -24, -2396, -8, 226, -84, -728, -220, -780, -96, 118, 454, -104, 276, 176, -352, 240, -70, 384, -380, 18, 4, 1164, 248, 96, -580, 558, -200, 14, 176, 28, 10, 176, -166, -856, 108, -148, 552, -484, -14, -148, 560, 60], "hecke_cutter_primes": [2], "level_primes": [3, 7, 191], "relative_dim": 191, "hecke_orbit_code": 33558443, "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": [19, 29, 29, 19, 29, 19, 19, 28], "newforms": ["4011.2.a.a", "4011.2.a.b", "4011.2.a.c", "4011.2.a.d", "4011.2.a.e", "4011.2.a.f", "4011.2.a.g", "4011.2.a.h", "4011.2.a.i", "4011.2.a.j", "4011.2.a.k", "4011.2.a.l", "4011.2.a.m"], "oldspaces": [[21, 1, 1, 2], [191, 1, 1, 4], [573, 1, 1, 2], [1337, 1, 1, 2]]}