# Trace form for 8027.2.a.d, downloaded from the LMFDB on 23 April 2024. [0, 149, -5, -5, 135, -28, -5, -33, -15, 134, -30, -20, -32, -73, -18, -43, 99, -32, -50, -32, -67, -36, -78, -149, -27, 75, 7, -23, -90, -20, -12, -34, -35, -63, -43, 24, 98, -228, -25, -19, -79, -4, -88, -70, -80, -153, 5, -3, -95, 86, -5, -57, -146, -110, -18, -33, -75, -132, -92, 41, -107, -82, -34, -99, 35, -47, -58, -162, -80, 5, -88, -1, -117, -124, -51, -1, -74, -56, -95, -89, -90, 93, -91, -64, -93, -155, -21, -49, -263, -60, -122, -130, -135, -179, -21, 30, -17, -199, -72, -91, -7, -10, -68, -135, 60, -19, -19, -89, -177, -266, -35, -43, -259, -96, -50, 28, -8, -177, -52, 51, -20, 31, -82, -73, -71, -99, -26, -102, -5, -66, -221, 16, 46, -325, -53, -166, -178, -107, 5, -21, 112, -158, -77, -42, -35, -98, 44, 16, -376, -138, -90, -1, 12, -142, -82, -39, -31, -158, -112, -50, -186, 33, -162, -178, 95, -216, -36, -44, -63, 12, 88, -119, -169, -76, 63, -116, -172, -150, -57, 97, -199, -252, -45, -127, 15, -2, 83, -126, 36, -52, -225, -31, -143, -185, 105, -47, -1, -104, 52, -97, 30, -86, -180, -157, -174, -291, -38, -134, -279, 21, 198, 8, -29, -184, -129, -64, 151, -199, -63, -61, 142, -130, -151, -129, -30, -39, -20, -153, -367, -235, 30, 8, -202, -54, 191, -128, 18, -94, -117, 135, 41, -189, 48, 6, -25, -281, -55, -69, -93, -177, -267, -84, -201, 20, 98, 52, 171, -87, 113, 71, -17, -230, -136, -75, -231, -150, 236, -75, -452, -15, 285, -7, -13, -219, -200, -67, 32, -317, 22, 36, -39, -58, -88, -128, -57, -9, 74, -116, -240, 17, 98, -98, -321, -157, -171, -232, -87, -311, -257, 73, 132, -215, 95, 23, 70, 24, 47, -172, 52, -150, -197, 30, -103, -223, -24, -64, -162, -319, -99, -207, -244, -77, 18, -11, 231, -248, 113, -69, -208, -27, -10, -38, -71, -678, -47, 36, 232, -407, 28, 60, -328, -116, -237, -219, -50, 43, -110, -24, 115, -149, -5, 9, -287, -129, 112, -81, -180, -299, -51, 8, -186, -5, 94, -78, -290, -199, -258, -178, -99, -40, 268, 173, -24, -398, 13, -165, -105, -7, -102, -178, 174, 67, -97, -31, -66, -118, -64, 2, -544, -65, 61, 32, -22, -103, -84, 192, -15, -465, 229, 24, -146, -93, -126, -129, 270, -521, -128, 151, 214, -193, 138, -184, -378, -196, 50, -124, 209, -43, 71, 9, -107, -331, -131, -30, 12, -122, 46, 109, -150, -290, -32, -38, -510, -160, 86, -64, -489, 32, -211, -71, 267, 119, 71, 92, 189, -434, 93, 52, -483, 95, 362, -33, -247, -185, 94, -56, 154, -270, -88, -179, 67, -94, 83, -317, 73, 117, -210, 11, -172, -240, 81, -169, -245, -12, 176, -170, 103, -262, -300, -35, -86, -70, -23, 36, -241, -19, 233, -390, -127, 66, 356, 257, 206, -355, -145, 71, 156, -107, -149, -82, 24, -167, -56, 4, -256, -261, 78, -59, -242, 31, 390, -95, -96, -211, -164, 83, 123, -615, 174, 123, -83, -109, -139, -19, -48, -206, -178, -251, 157, 149, 66, 382, -103, -266, 357, -6, 54, -54, 127, -10, -335, -327, 282, -56, -416, 209, 667, -345, -132, -26, -383, -64, 27, -413, 71, 240, 190, -198, 16, -52, 137, 3, 285, -185, -349, -269, 28, -297, -427, 24, -86, -129, 25, -570, -37, -75, -78, -176, 174, 148, 375, 71, 351, -391, 148, 292, -59, 113, 489, -385, 30, 205, -583, -91, 205, -152, -332, -480, -7, 116, 159, 15, 277, -277, -8, -24, -217, -174, 286, -376, -210, 336, 409, -750, 190, 273, -6, -257, 114, -75, -59, 23, -34, 15, 402, -7, 210, 75, 107, 22, 445, -209, -238, 222, 229, -147, -200, -417, 224, -79, -137, -166, -166, -344, 90, -329, -8, 15, -346, -99, 305, 121, -521, -223, 577, -298, 158, -5, -2, 63, -22, -247, 62, -15, -79, -203, -74, 20, -142, -351, 299, 309, 499, -189, 296, 234, 234, 33, -3, -94, 296, -289, -325, 126, 278, -287, -58, 99, -412, 123, 12, -120, 230, -120, 53, -113, -92, -454, 5, 96, 210, -393, -262, -64, -266, -342, 37, 4, -168, -527, 21, -68, -131, 34, -132, 58, 320, -212, 54, 222, 504, -205, -101, 65, -622, -38, 638, -235, -130, 353, 266, 156, 314, -365, -203, -101, 35, -83, 20, 141, 493, 123, -188, -106, 49, -188, -37, -226, -241, 73, 432, -249, 295, -63, -426, 45, 80, -798, -78, 63, -577, 149, 601, -67, 57, -184, 231, 70, 107, 88, 25, 220, 20, -306, -331, -213, 541, -297, -257, -38, -100, -441, 43, 14, 179, -255, 220, -269, -46, 103, -30, 214, 638, -666, 84, 172, 19, -316, 166, 39, 108, -147, -195, -94, -85, -24, -122, 80, -451, 52, 630, -2, 10, -382, 188, 273, -352, -217, 221, -177, -805, -94, 604, -260, 41, 128, -130, -169, -98, -266, 734, 235, -8, 7, 137, 18, -61, -552, 27, -275, 333, 117, -1, -272, 160, 96, -31, -205, -85, -160, 217, 228, 43, -507, 375, 475, -28, -46, 517, 48, -105, 197, -380, 31, 772, -500, -95, 263, 124, -210, 563, 256, -101, -379, 25, 121, 144, -745, 269, -51, 438, 57, -186, -184, 253, -532, -166, 235, 37, -304, 166, 255, -167, -273, 185, -264, 177, 19, -152, 285, 168, -227, 387, 230, 69, 169, 214, -209, 90, 272, 587, -9, -829, -140, 301, -143, 71, -408, -121, -177, 79, -86, 284, -63, 859, -586, 130, 65, -730, 110, 920, -353, 189, 85, -56, 88, 549, 100, 117, 73, -60, -374, 123, 4, -61, -10, -30, 195, 383, -291, 519, 137, 1, 207, 47, 25, 733, -34, -534, 266, 634, -173, 29, 26, -46, 426, 88, -81, 732, 41, 421, 127, -308, -424, 363, -112, 492, -244, 410, 141, -318, -879, -485, 88, -108, -207, 57, -110, -188, 70, -73, -159, 240, -10, 378, 406, 182, -358, 84, 349, -491, 208, 588, -131, 210, 278, 357, 113, -74, -269, -146, 161, 80, -279, 578, -236, 593, -154, -234, -19, 266, -272, 451, -5, 179, 328, 580, -298, 14, 114, -177, 46, 210, -662, 441, 153, 665, -22, 406, 233, 20, 85, 310, 211, -78, -346, 1, 5, 237, -147, -342, -49, 407, -596, -118, -17, -242, -264, -5, 52, 128, -148, 508, -124, 233, 644, 43, 208, 493, -337, 355, 146, -626, -267, 333, 80, 284, -105, -51, -82, 402, 3, -131, 192, 361, 268, 132, -191, 365, 127, 580, 239, -351, -730, 605, 62, -232, 86, 514, -62, 51, -31, 153, -69, 95, -31, 849, -49, -141, 41, 110, 62, -98, -21, 408, -249, 171, -485, 244, -68, -326, 163, 131, -363, -13, -447, -194, -86, -111, -170, 320, 523, 138, 62, 310, -140, 44, 282, -241, 381, 1440, -313, -43, -266, 409, 128, 463, -242, 37, 157, 5, 83, 226, -588, 430, 415, -82, -292, 99, -335, 635, -573, -166, 76, 341, -426, 203, 269, -528, -85, -287, -374, -36, 57, -87, 298, 170, -306, 101, 457, 34, -34, 497, 285, 165, 242, 553, -137, -196, -58, 704, -194, 70, 57, 327, -57, 146, -790, -206, 463, 742, -30, -286, 44, -165, -161, 720, -115, 623, 302, 240, 23, -12, -700, 320, -358, 318, -320, 455, 110, 232, 138, -244, 321, 445, -10, 409, -85, -135, 89, 567, 131, 950, -226, -549, 213, 366, -822, 70, -72, -217, 203, 18, -231, 794, -118, 923, -135, -247, 375, -335, 116, 20, -343, 661, 81, 4, -561, -36, 222, 549, -529, -406, -295, -141, 33, -127, 82, -280, -353, 224, 23, 897, -208, 514, 398, -285, 7, 651, -79, 72, 132, 519, 467, 465, -845, 280, -86, 75, 79, 634, 246, 491, 179, -7, -172, 276, -189, 480, -68, -28, 293, 785, -595, 29, 737, 267, -109, -309, -420, 366, 132, -172, 335, 882, 252, 373, 260, 154, 181, 707, -172, 285, 452, 294, -448, 333, -276, 570, -111, 65, -192, -967, -360, 92, 248, 528, 11, 503, -20, 256, -424, -359, 110, 907, -803, -11, 400, -586, -87, -66, 131, 439, -185, -177, 9, 368, -41, 14, 209, 126, 405, 498, -220, 48, 214, 115, -226, -113, 313, 983, -142, -443, -42, 993, -151, 219, -181, -321, -23, 107, -313, 704, -182, 193, 633, 84, -75, -90, -213, 555, 134, 537, -100, -309, -197, -135, -260, 465, -438, -128, -512, -546, 82, -81, -310, 532, 206, -223, 378, 996, -214, 154, 211, -100, 293, 1277, -101, 489, 315, 243, 98, -114, -421, 87, 241, 34, 269, 649, -272, 1112, 122, -294, -72, 611, -165, 694, -626, 271, 389, 132, -399, -136, 574, -18, -261, 275, -192, 810, 99, -243, 589, 107, -641, 481, 548, 55, 44, -82, 60, 401, 176, 873, 120, -491, 176, 528, -281, 80, -72, 388, -8, -35, -202, 420, 169, 975, -807, 31, -152, 427, 393, 1013, -382, 322, -80, 133, -139, -124, 61, 633, 265, -777, -475, 209, 47, 162, 18, 192, 405, 769, 40, 120, -236, -24, 598, -228, -271, 1014, -410, -192, 172, 941, -551, 189, 546, -525, 127, 58, -115, 1108, 126, 357, -122, 543, -11, -103, 13, 582, 311, 238, 206, 383, -722, -323, 393, 343, -483, -42, -533, -95, 162, -101, 71, 232, 657, 752, 295, 1295, -433, 752, 482, -934, 346, 1341, -565, 212, -243, 249, 278, 928, -13, 136, 33, 80, 166, 865, -213, 1378, 698, 192, 201, -281, -677, 761, 456, -202, 314, 522, -89, 348, 609, 20, -214, -46, -103, 228, -5, -523, 261, 1050, -32, 837, -17, 561, 403, 890, -548, 405, 47, 598, -17, -313, 15, 180, 54, 412, -126, 109, 266, 88, 276, 392, -382, 832, 60, 572, 50, -366, 447, 602, -732, 264, 308, 531, -43, -77, -29, 946, -417, -109, -167, 326, 1, 296, 968, -176, 43, 1186, 223, 551, 396, 136, 223, -376, 62, 922, -415, -550, 311, 1598, 40, 199, -192, -92, 771, 117, -314, 725, 15, 470, -8, 704, -38, 530, 776, 839, 138, 599, 42, -343, 26, 148, 546, 455, -182, 165, -873, -120, 124, 278, 15, 289, 112, 121, 431, 795, -68, 2, 404, -82, 375, 1197, -752, 341, -146, 1116, 45, 462, 34, 211, 691, 51, -56, 1366, -246, 996, 373, -59, 78, 50, 187, 308, 13, 48, 782, -337, -1182, 431, 637, 91, 108, -36, -481, 637, 1, -1, 458, -409, 489, 280, 216, 710, -366, 1324, 478, 727, -365, 553, 72, -62, -156, 314, 18, -803, 28, 398, -494, 74, -303, 1000, 159, 253, 131, 249, 577, -32, -327, 1155, -47, 900, -93, -23, 38, 466, -111, 413, 544, -172, -170, 407, 56, 195, -356, -98, 567, 1402, 211, 556, 683, -261, 110, -28, -69, 1047, 364, 233, 172, 1561, -641, 131, -49, -707, 367, 95, 38, 745, -50, 477, 427, 1188, -282, -226, 780, 817, -305, 263, -377, -299, -333, 59, 487, 444, -1125, 204, -156, 158, 89, -163, 408, 879, 333, 686, 508, 655, -60, 648, 307, -664, 482, 1391, -298, 77, 403, 436, 677, 506, -475, 552, 584, 90, -131, 1185, -390, 929, 188, 103, 18, -156, -5, 837, -65, -451, 162, 808, -615, 417, 288, -206, -73, -28, -921, 705, -93, -343, 512, 663, -27, 456, 674, 684, 337, 642, -122, 464, 531, 1066, -362, 79, 38, 948, 428, 349, -93, 226, -547, 91, 663, 163, 206, 1785, 320, 324, -77, 27, 563, 1217, -191, 287, 909, -490, -492, 269, 166, 708, 123, -282, -492, 107, 64, 133, 457, -307, 168, 1385, 23, 161, -67, 471, 134, -15, 124, 959, -276, 55, -26, 878, 149, 159, 172, -74, 295, 93, -887, 937, 41, 427, 204, 838, 239, 182, 213, 685, 177, 1336, 296, 9, -208, -1320, 594, 378, -92, -43, -644, 284, 155, 281, -484, 693, 341, 886, 538, 740, -6, 796, 722, 155, 133, 1625, -877, 795, 380, 262, -66, 1081, -221, 57, 825, 21, 294, 1664, -567, 1092, 258, 298, 25, 519, 399, 723, -203, 117, 502, -87, -429, -27, 1450, 39, -376, 34, -228, 1232, 49, 375, 567, 778, -175, 56, 393, 230, 289, 1261, 195, 886, -64, 1134, 274, 197, -897, 743, 111, 195, 84, -380, 353, 263, 17, 217, 17, 933, -140, 88, -85, -809, 38, 602, 131, 502, 208, -174, -307, 242, 467, 134, -126, -402, -38, 530, 60, -340, 305, 481, 611, 336, -636, 261, 408, 772, 64, 384, 241, 1379, -922, -980, -26, 817, -470, -153, 351, -853, 7, 122, 210, 1148, -214, 800, 55, -82, -625, -54, 527, 581, -194, -10, 366, -283, -438, -579, 107, -106, -246, -315, -854, 222, 130, 5, -88, -158, -263, 86, 424, 502, -1027, 354, 462, -307, 516, 1419, -38, -142, 271, 573, 641, 734, -135, 75, 643, 135, -342, -272, 215, 995, 654, 300, 83, 1030, -311, 251, 311, 182, 422, -111, -403, -245, 195, 166, 92, 324, -1153, 727, 179, -309, 188, 324, -333, 655, 816, 130, 224, 636, 244, -238, 387, 589, -251, -568, 46, 499, -710, -45, -40, -529, 126, 21, 301, 92, -499, 908, 39, -71, 299, -408, 613, 939, -920, 395, 410, -756, -663, -85, -5, 846, -717, -1074, -488, 906, -30, -290, 699, -982, 151, 413, 279, -226, -289, 279, -34, 27, -902, 662, -263, -1147, -12, 359, -448, -657, -1100, -943, 160, 17, -364, 901, 295, -43, -73, -250, -21, -928, 93, 460, 517, 668, -466, -41, -632, -490, 457, 357, -190, -674, -477, 284, 199, 22, -294, 49, 171, -84, -665, -1043, 41, 695, 78, -703, 271, 1002, -617, 261, -219, 643, 355, -82, -41, -580, 285, 72, 115, -60, -544, 1017, 214, -802, -595, -323, 172, 654, -175, 501, 365, -231, -1347, -442, 896, -971, 2, 4, -982, 392, 91, -482, 535, 338, -398, 380, 688, -242, 63, 590, 300, 365, 732, 516, -161, -569, -1059, 501, 128, 424, -166, -736, 343, 7, 23, 289, -236, 1138, 365, -451, 144, -663, -198, 988, -267, 134, 296, -36, -108, -746, -300, 390, 40, 36, -621, -136, 10, -706, -441, 509, 238, 432, 397, -56, 523, -566, -257, 35, -241, 1115, -783, -385, 363, 1340, -318, -525, 464, -16, 504, 68, -119, 1014, -205, 1092, 101, 719, 27, -280, 231, -332, -481, 558, 555, 166, -178, -192, 400, 809, -198, -549, -489, -1584, 135, -968, 225, 406, 331, 322, 95, -555, -1134, -223, 458, -588, -195, 1218, -384, -412, 303, 669, 91, -1258, -446, -560, 586, -60, -444, 1422, -216, 1013, 429, -115, 245, 48, -19, 194, -383, -53, -1, -765, -730, 163, 844, -366, -236, -1787, -1238, -193, 19, 46, 225, -566, 78, -321, 347, 449, 416, -64, -292, -159, 263, 131, -494, 0, -211, 876, -256, 399, -16, -1773, -837, 19, 821, -486, -419, 856, 33, 383, -22, -453, 366, 1189, -31, -453, 273, -617, -190, -541, 553, 317, -651, -765, -793, -316, 89, -119, 304, 243, 214, -164, 75, -1154, -243, 665, -18, -393, 386, 1496, -756, -691, -172, 459, 247, -536, 242, -793, 461, 177, -1123, 174, -30, 239, 80, 62, -50, -749, -833, 141, 163, 38, -61, -256, -379, -269, 312, 556, -379, -288, -526, -603, 266, 133, -143, -408, -381, 983, -174, -206, -170, 66, -40, 409, 419, 1628, -259, -854, 362, -148, 178, -244, 389, -825, 205, 35, 174, 197, -776, 1116, 482, 4, -325, -995, -121, 411, -622, -130, 208, -238, -717, -882, 821, -547, -650, -1112, -391, 474, 43, -233, 771, -280, -1183, -1047, 300, 50, 27, 798, 203, -163, 624, -244, -353, -918, 222, 984, 489, -1131, -499, -429, 196, 259, -877, -183, 453, 275, -350, -346, 200, 301, 85, 498, -686, -409, 494, -196, -236, -1257, 204, 421, 985, -759, -370, -783, 96, -217, -413, -241, 312, 786, -380, -745, 84, -1150, 277, -323, -157, 190, -1346, 16, 418, 403, 82, -757, 254, -1046, -299, 50, -330, 986, 61, 999, -258, -806, -689, -1243, 416, 898, -268, 164, 714, -335, -806, -571, 678, 55, -636, 66, -781, -217, -28, -1484, -117, 35, 555, 626, -12, 144, -296, -7, 93, -180, -288, -121, -99, -346, 162, -132, 425, -111, 361, -218, -446, 8, -27, 495, -87, 1026, 366, 241, -128, -1029, -639, 438, 363, 436, -32, 279, -852, 256, 586, -539, 422, -563, -861, -46, 177, -773, -40, 301, 498, 22, 66, -639, 525, 344, 441, 343, 435, 351, -340, -1226, 80, 730, 423, 114, -420, -161, -213, 52, -217, 688, -1074, 832, 491, -1054, 34, -38, 411, 490, -1587, -66, 147, -794, -462, -1654, 105, 42, -646, 175, -290, 152, -51, -1198, 1019, -873, 113, -39, 295, -245, 271, 155, 16, -9, -29, 1470, -269, -680, -77, 879, 174, -1220, -93, -622, 0, 20, -599, -116, -543, 774, 160, -15, -359, 20, -303, 858, 154, 507, -824, -479, -1072, -1137, -40, -201, 143, -800, -796, 215, -31, -1018, 131, -103, 290, -420, 207, -1245, 37, 15, 345, -127, 102, -408, -1964, 31, -17, 449, -155, 673, -36, -366, 791, 82, 595, -985, 105, -282, 118, -157, 39, 825, 87, -789, -405, -462, 694, 337, -594, -274, 1059, 310, -276, -291, -1113, 618, 73, 63, 411, -345, -236, 414, 545, -700, -525, -589, 91, -38, -272, 832, -230, -411, -350, -35, 419, -503, 115, -613, -161, 71, -1727, 263, -82, 397, 233, 69, 497, -627, 65, 658, -292, 897, 431, 395, -374, -1389, 45, 685, -280, -558, -618, -262, 99, -558, 36, -251, 541, 444, -349, -242, 15, 231, -313, -15, -651, -687, -662, -499, 23, 513, -1696, -453, 529, -1778, -202, 26, -349, 153, -431, -514, 66, 772, -146, -643, -94, -202, -374, -933, 317, -893, -859, -474, 937, 800, -779, -854, -754, 388, 102, -1068, 188, 698, -166, 129, 233, -544, 32, 104, -66, -569, -150, 808, -657, -1284, -4, 949, 664, -974, -497, -356, 682, 5, -512, 491, -398, 1004, 495, 122, -637, -668, -942, -24, -189, 68, -122, -1273, -371, -334, 698, -216, -379, 607, -921, -87, 66, -1100, 327, -705, 847, -670, 16, 867, 542, -415, -190, 485, 81, -228, -243, -963, -256, 529, 475, -246, -130, -801, 125, 221, 162, 301, -731, 1125, -183, -363, -1420, -804, 400, -319]