# Trace form for 8027.2.a.c, downloaded from the LMFDB on 24 April 2024.
[0, 143, -17, -17, 121, -22, -11, -33, -45, 104, -22, -14, -36, -87, -18, -19, 81, -14, -60, -18, -25, -26, -62, 143, -21, 67, -5, -47, -76, -54, -22, -62, -117, -59, -35, -52, 52, -190, -19, -43, -41, -50, 8, -50, -18, -75, -17, -63, -35, 74, -53, -33, -124, -100, -46, -61, -3, -80, -112, -109, -55, -76, -6, -93, 57, -17, 50, -120, 26, -17, 0, -109, -153, -94, 35, -105, -16, -52, -59, -29, -30, 39, -65, 8, 11, -155, -15, -25, -139, 6, 82, -34, 121, -151, -3, -70, -23, -203, -18, -49, -47, -60, -110, -81, -12, -113, -95, -47, -25, -194, 53, 15, -103, -88, 48, -22, -46, -223, -114, -83, 6, 3, -28, -73, -151, -105, -14, -94, -237, 0, -25, -58, -252, -301, 57, -74, -78, -59, -11, -65, -94, -214, -203, -12, 43, -74, -22, -152, -364, -14, 8, -125, -116, 36, -58, -79, -11, -184, 72, 60, -72, -33, -122, -292, -119, -186, -128, -44, -25, 10, -62, -9, -125, -110, -43, -102, 102, -154, -81, -177, -113, -112, 13, -101, -45, -18, -121, -154, -110, -152, -133, 27, -59, -311, 45, 47, 71, -252, -222, -1, -104, -32, -80, -27, 162, -169, 104, 104, -101, -133, -262, -146, -235, -180, -61, 16, -157, -171, 53, -101, -348, -116, 69, -149, -20, -27, -44, 51, 9, -151, -22, -124, -362, -80, -57, -138, -102, -158, -53, -137, -211, -79, -116, -98, -141, -79, 77, -175, 183, -31, 105, 68, -149, -14, -84, -64, -207, -93, -233, -73, 27, -80, -238, 79, 273, -182, -96, -193, -262, -141, -89, -47, -21, 85, 76, -25, -36, -335, -48, -168, -251, -30, 112, -60, -55, -41, -52, 144, -216, -59, 24, 134, -83, -87, 227, -102, 185, -1, -43, -87, -136, -335, -123, -139, -64, -36, -177, -76, -20, -246, -17, -82, -299, -201, 56, 36, -172, -249, 81, -57, 170, 137, -18, -147, -67, -314, -105, -23, -186, -13, 278, -152, 45, -294, 11, 44, -218, -151, 30, -42, -44, 62, 133, -57, 84, -19, -50, -132, -173, 143, 139, -89, -397, -41, 60, -67, 168, -217, -175, -24, 416, -23, -96, 90, -140, 23, 318, -164, 81, -90, -192, -107, -352, -402, 219, 37, 29, -91, 114, -108, -14, -161, -197, -21, 200, -200, 112, -66, -198, -35, 71, -14, -72, -125, -124, -54, -171, -423, -79, 106, -218, -67, 90, -117, -212, -171, 94, -117, -430, -23, 64, -64, 8, -122, -60, -200, 25, -71, -233, 83, 149, -391, 115, -98, -240, 246, 250, -259, 12, 96, -82, -34, 166, -222, 106, 184, -181, -18, 247, -99, -1, 31, -327, -264, -43, -354, -35, -106, -137, -201, -282, -41, 17, -197, -228, 56, -40, -224, 290, 35, -25, -4, -55, -247, 67, -73, -112, 39, -58, -240, -33, 41, -67, -260, 60, 44, 51, -576, -12, 137, 278, 80, 123, -26, 43, -275, -109, -434, -19, -82, -458, -191, -358, -589, 137, 67, -496, 113, 227, -288, -220, -159, -90, -30, 290, -167, -62, 153, -228, -203, -114, 15, -134, -389, 62, -157, -41, -169, -52, -13, -205, 59, 21, -207, 272, -44, -144, 207, -191, 143, 370, -446, -683, -372, -245, -278, 378, -98, -141, -56, 207, -409, -170, 56, 162, -9, -283, -257, 2, -154, 127, 82, -21, -173, -93, -64, -238, -86, 276, -60, 277, -177, -393, 249, -45, -417, 204, 27, -169, -108, 446, -1, 231, -132, 55, 67, 280, -270, -184, 32, -337, -189, -81, -447, 8, -324, 141, -131, -415, -263, 350, -25, -553, 13, 285, -76, 478, -228, -5, -30, 81, -153, -71, -385, -60, -140, 207, -218, -194, 176, 102, -176, 203, -348, 40, -133, 6, -17, 170, 15, 167, -47, 28, 55, 54, -325, 286, -5, -299, -162, -43, -89, 302, -282, -199, 119, 792, -645, 146, -31, 15, 80, 300, -114, -76, -119, 124, 75, -130, -247, 461, 211, -481, -193, -199, -56, 136, -231, -328, 99, 214, -423, 200, -91, -29, 307, 552, -54, 344, -123, -113, -127, -33, -581, -128, 2, -200, -261, 241, 110, -42, 43, 441, -338, 20, -159, 264, -95, -92, 107, -22, -130, 76, -292, -305, 183, 404, -576, -17, 212, -374, 91, 206, -64, 596, 396, 79, 116, -20, -323, 425, 248, 29, -62, 476, -166, -220, -288, -360, -42, -394, -61, 259, -167, 308, -204, 64, -91, 392, -229, -336, -16, -444, -267, 523, 143, -117, -53, 78, -191, 101, -209, 28, 36, 189, -244, 201, 362, -225, -413, 320, -51, 137, -419, 506, 141, 150, -410, 276, -59, -17, -91, -275, -207, 191, -372, 155, 34, 39, -194, 551, -80, -868, 10, 763, -153, 261, 259, -89, 208, 562, -171, -35, 26, -29, 77, -4, -181, 40, -137, -48, 118, -392, -254, 552, -256, 123, -116, 314, -145, 120, 95, 161, 264, 149, -52, 286, -16, -35, -42, 160, 4, 6, -454, -28, 227, 688, -255, 13, 221, 137, -44, -66, -196, 371, 32, 200, 87, 52, -116, -386, 71, -500, -55, 257, -178, 395, -600, -271, 335, 201, -231, 349, 428, -176, -300, 531, -145, 63, 180, -25, -190, -141, -377, 193, -209, -238, -26, -255, -74, 395, -485, 126, -279, -336, -256, 415, 23, -256, -246, -331, 130, 397, -495, -19, 79, -56, -855, 169, 169, -106, -19, 578, -272, 45, 462, 252, -109, 189, -12, 118, -379, -143, -37, 315, -134, 125, -43, -10, 29, -80, -121, 283, -374, -189, -243, 396, -441, 234, -146, -179, 127, 735, -516, 183, 501, -255, -168, -47, 57, -41, 110, -384, 141, 59, -908, 208, -25, -250, -12, -328, 383, 103, -699, 96, 334, 285, -376, 245, 307, -118, 234, 255, -50, 181, 260, 122, -133, 57, -651, 45, 65, -75, -365, 515, -131, -455, -358, 214, 226, -520, 133, 273, -116, -78, -130, 8, -121, -362, 5, -483, 285, 512, -724, 395, 280, -234, -20, 318, -367, 330, 29, 105, 100, 232, 191, 559, 478, -430, -50, 1059, -91, 480, -404, 134, -38, -216, -370, -82, -3, 257, -194, -328, -271, 228, -254, -165, 151, 80, -195, 736, 301, -18, 3, 24, -12, -85, -400, 226, 57, 314, -286, 165, 291, -119, -276, 208, 54, 312, 84, 195, 92, 320, -82, 29, -75, 213, -410, 78, -173, 474, 181, -262, -289, 472, -716, 167, -17, -829, 221, 752, -101, 117, 38, 144, 409, 948, -516, -17, 132, -108, -158, -182, 96, 633, -440, 527, 80, -241, 237, 423, 82, -462, 257, 557, -128, 426, -335, -131, 274, 618, -63, 465, 20, -99, -252, 192, -395, -13, -213, 38, 143, 1015, -1106, -343, 640, 434, 126, -254, 174, 283, -119, 123, 63, -35, -19, -163, -25, -553, 9, 602, 132, 224, -33, -344, 507, 3, -839, 460, 546, 138, -59, 263, 49, 397, 225, 472, 74, 493, -236, 580, -235, -214, -336, 414, -80, 148, -350, 121, 65, -272, 151, 11, 390, 33, -6, -21, 164, 701, -739, -53, 355, -502, -350, 26, 501, 22, 26, 731, -3, 89, 461, 182, -104, 439, 142, 411, 37, 206, 343, 907, 122, -50, -33, 683, -100, 652, -558, 205, -145, -372, 76, 61, -425, 719, -6, -95, 381, 484, -178, -74, 274, -288, -69, 413, 245, -124, -358, -192, -91, 70, -376, 534, 2, -329, 195, -188, 35, -81, 142, -114, 161, 372, -1154, 176, 310, 242, 282, 523, -100, 576, 74, 16, -7, -195, -152, -61, 431, 49, -535, 627, 3, -122, 48, 503, 133, -282, -348, 400, 374, 31, -99, -46, -147, -448, 78, -209, 143, 333, -187, 641, 512, -536, 25, 201, -1, 322, 387, 380, -2, 739, -83, 662, 439, 191, -61, 389, -430, -88, -749, 176, 203, -31, -136, 690, -100, 351, -319, -659, 211, 852, 80, -917, -47, 841, -929, 538, 458, -3, 43, 354, 96, -389, -435, 305, 438, 418, -183, -18, 394, 22, -269, 171, 45, 307, -295, -71, 289, 809, 8, 104, -80, -94, -341, 188, -196, 205, -354, -328, 25, 723, -366, 383, -172, -174, -28, 793, 124, -36, 557, 757, 270, 345, -856, -112, 724, -138, 261, 241, 126, 836, 270, 529, 34, 97, 191, 465, -232, -84, 293, 726, 17, -51, 185, 449, 663, 300, -109, 422, 245, -238, -353, -340, -156, 312, 66, 453, 50, 573, -127, -153, 482, 427, -446, 97, 209, 49, 523, 347, 433, -55, -219, 134, 70, -131, 117, 576, -365, 506, 79, -167, 406, -95, -412, 991, 649, 121, -300, 355, 126, 1566, 688, -34, -76, 1043, 28, 194, 190, -619, -210, 6, -46, 30, -395, 210, 217, 21, 43, 163, 383, -121, 154, 432, -255, 559, 13, -6, 5, -213, -226, -582, 546, 378, -12, 599, -205, 162, 62, -369, -289, 952, 521, 592, -400, 348, 489, 665, 458, 172, -93, 313, -215, 463, -887, 171, 24, -167, 60, 150, 48, 231, 88, -483, 452, 1363, -308, 140, -247, -312, 358, 928, -214, 57, 170, 20, 251, 5, -855, 73, 544, 267, -17, 125, 202, 286, -676, 187, 315, 60, -141, 393, 647, 109, 117, 643, -17, 860, 200, 208, -203, 509, -578, 166, 308, 430, 242, 1058, -23, -390, 126, 720, 216, -205, -355, 635, 420, 435, 233, 50, -95, 96, 180, -59, 146, 601, -337, 793, 93, -804, 339, 572, -50, 489, 34, 781, 141, 1077, -241, 758, 667, 541, -120, 511, -101, 700, 373, -160, 291, -91, -807, 182, 198, 350, -108, -287, 343, 414, -137, -177, 22, 420, 85, 706, 221, 26, -4, 231, 111, -716, 32, 112, 311, 751, -745, 313, 316, 390, -306, 310, -49, 880, -337, 270, 334, 1132, 189, 390, -17, -373, -485, 810, -192, -103, -433, 217, 127, 392, -1022, 297, 221, -442, 417, 1029, -1, 446, 42, 32, 408, 869, -454, 0, 202, 14, 352, 84, 0, 154, -230, -244, -45, -230, -238, 150, 192, 305, 661, 1055, -349, -188, 135, 567, 419, -66, -109, 868, -92, 522, -179, 130, 123, 439, 212, -228, 263, 944, -500, 282, 451, 164, -113, -122, 280, 453, -304, 418, -159, -153, -24, -39, 419, -462, -136, 344, -376, 990, 100, -319, 258, 227, -84, 1047, 564, 280, -172, 919, -396, 941, 163, 110, -94, 1870, 187, 131, 128, -363, -15, 135, 156, 388, 154, 860, -79, -199, -356, 695, 526, -696, 307, 292, -122, 1169, -293, 35, 0, 694, -448, -276, -21, 261, -18, 518, 47, -302, 503, 348, 260, 1307, -668, 263, 77, 521, 464, 1246, 41, -15, -105, 993, -64, 735, 317, 362, -64, -450, 108, 484, -444, 711, -395, -315, 760, 1140, -482, 322, 586, 115, -22, 1280, -392, -16, 609, -120, 351, 499, -553, 565, 217, 286, 19, -465, 95, 748, -141, 291, 204, 1258, -881, 665, 272, 210, 790, 1037, -52, 151, -344, 432, -513, -224, -321, 826, -185, 179, 306, 674, -121, 31, 704, 585, -344, -359, -339, 977, 319, 299, -185, -59, 254, -523, 34, -425, 309, -60, -116, 614, 278, 39, 413, 1311, -459, 723, 855, 775, 39, 664, -583, 1174, 768, 30, -29, 629, -264, 339, 57, -472, 60, 759, -82, 200, -35, 190, -204, -289, -62, 1175, 279, 634, 49, 654, -591, 8, 188, -30, 589, -245, -30, -99, -284, 405, 362, 1156, 295, -171, 529, 187, -410, 826, 703, 1103, -66, 460, 735, 1238, 339, 347, 39, 323, 176, 835, -155, 528, -30, -88, 77, 390, -512, 650, 435, -492, -162, 797, 246, -272, 382, -43, 391, 1100, -455, -65, 47, -67, 652, 1, 184, 256, -369, 773, -185, 239, -85, 491, -315, 1126, 416, 657, -178, 234, 11, 524, 626, -321, 8, 1241, 393, -185, -10, 537, -133, 1031, -453, -333, -58, 1239, 136, -355, 1032, 963, 640, 278, -597, 623, 110, 668, 147, 11, -689, -139, 893, -57, 80, 478, -81, 950, -227, -579, -41, 434, -346, 1077, 814, -470, -102, 378, 308, 861, 772, 842, -155, 985, -888, 469, 129, -414, 110, 648, -222, 4, -350, 533, 141, -291, 407, 495, 32, -732, -232, 673, 275, 833, -335, -15, 134, -262, -143, 18, -202, -18, 567, 819, -215, 427, 377, 1005, 166, 1225, 269, 761, 56, 123, -30, 1290, 166, -262, -25, 679, -133, -138, -307, 984, -507, 20, 251, 279, -107, 406, -856, -586, 516, 1057, -731, -49, 943, 175, 172, 1474, -63, -139, 605, 153, 57, 777, -620, 1054, 475, 649, 154, 356, 177, 62, -228, -240, 741, 1378, -541, 510, 224, 1208, 230, 1000, 6, 298, 557, 243, -229, -488, -526, 491, 28, -346, 250, 358, -367, -927, 154, 282, 378, 347, 230, 523, 67, 263, -425, 82, 30, -334, -364, -512, 493, 654, -607, 928, 203, -377, 132, 818, -818, 671, 402, 617, 59, 338, 198, 185, 1320, 330, -34, -11, -556, 590, 35, 386, 44, 760, -363, 368, 380, 325, -170, -485, 438, 110, 95, -259, -479, -240, -593, 679, -71, 121, 50, -100, 283, 343, -344, 60, 359, -358, -893, -487, -99, -994, 156, 475, 327, -381, -715, 654, 200, 98, -267, -315, -151, -81, -226, 880, -149, 871, 128, 448, 284, 30, -954, 284, -37, -867, 139, 1002, 490, -355, -234, 311, 434, 651, -114, -3, 293, -362, -101, -634, -411, -75, -233, 1056, -591, -767, -104, 29, 290, 534, 377, 573, -129, 64, 93, 260, 610, 210, -70, 730, -17, 34, -85, 353, -209, 396, 65, 131, 400, -169, -432, -408, 821, 595, 460, -193, -352, 1171, -384, 577, 84, -23, 212, -363, 707, -563, -341, 820, 497, 48, -259, -882, 403, 520, -458, 429, 738, 94, -241, -673, -190, 726, 619, -4, -203, 1720, -374, 459, 69, -52, -397, -187, 45, 415, -304, -97, 37, -428, -355, -91, 161, -717, -125, 374, -199, 140, -327, -18, 147, 90, -144, -983, 314, -62, 439, 1149, -432, 384, 331, -229, -357, -309, -207, 646, -822, -337, 50, 1620, 1030, -376, -49, 460, -337, -64, -126, -46, -424, 560, -215, -792, -140, 9, 328, -720, 229, 373, -1201, -383, 680, -40, 82, 1288, -61, -47, 99, -225, 240, -288, -167, -391, -126, 59, 170, -250, 59, -30, -1010, -106, 484, 702, -864, 90, 368, 380, 475, -568, -60, 52, -393, -1157, 338, -1044, -371, 326, 285, -1102, -891, 1319, -409, -885, 603, -183, 155, -862, -288, 173, 134, 832, -306, -110, -541, -958, -87, -546, 215, -429, -879, 510, 487, -1070, -31, -292, -297, 780, 322, 728, -598, 143, -328, -119, 1073, -206, -81, 32, 65, 338, -749, -608, 119, 89, -616, -447, 314, 430, -277, -718, 142, 146, -365, 409, -61, 548, -198, 34, -448, -12, 822, -962, 308, -1051, -1069, -39, 551, -354, -229, 252, -201, -329, -261, 259, 326, 271, -838, 6, 428, -271, -166, 217, -113, -110, -69, 946, 194, -111, -891, -459, -460, 720, -468, 53, 195, -793, 644, 230, 485, -726, -252, -27, 970, 1327, -1699, -95, 225, 134, 239, -924, -33, 155, -440, 321, -342, -91, 427, 307, 61, -577, 48, 57, -395, -173, 49, -415, 671, -284, -47, 427, 168, 483, -80, -892, -229, 98, 157, -251, 318, 819, -1434, -776, 702, 325, -378, -429, 223, 448, -38, 549, -115, -25, -621, -706, 120, -443, -100, -42, 144, 699, -413, -241, 95, 42, -377, -150, 1221, -247, -474, -480, -115, 970, 1246, -5, -194, 687, -95, -696, -29, -623, -118, 164, 222, -146, -1264, -537, 459, -1572, -209, 88, 254, -508, -126, -410, -739, -37, -357, 53, -90, -665, -722, -200, 104, -68, 93, 433, 389, -303, 214, -268, -12, 1072, 171, -62, -25, -1141, 414, 1130, 755, -506, 15, 879, 7, -92, -1207, -563, 208, -50, 303, -702, -335, 301, -304, -390, -39, 332, 202, 84, -5, 123, -331, 809, -330, -103, -323, -751, -3, -2087, -730, 288, 966, 339, 277, -810, -304, -601, -476, 156, 680, 905, -844, -843, 59, 281, 62, -49, -88, 1327, -485, -85, -164, 310, -1440, 471, 128, -874, 269, 359, -97, -1220, 258, 338, -250, -1831, -166, 877, 438, 552, -155, 48, -10, -232, -323, -993, 124, -892, -587, 141, -268, -1658, 30, 248, -186, -237, 426, 969, -108, -437, -124, 610, 677, -197, -22, -62, -265, 365, 199, -744, -70, -434, -694, 31, -151, -446, -134, -1109, 617, 438, 184, -528, -747, 571, -179, 286, -64, -46, 237, 83, -99, -328, -220, -39, -8, -265, -573, -986, -69, -320, -272, -89, 314, -28, -1396, 245, 254, 171, 155, 488, -223, -241, -552, 143, -116, -80, -794, -739, -355, -696, -735, -983, 347, -215, 612, -388, -84, -836, -477, -170, 248, 341, -1025, -114, 299, 128, 222, -958, -457, -618, 114, 70, 331, -550, -417, 514, -41, 660, 772, 1442, -705, -482, 174, 493, 940, 218, -83, 254, -101, 325, -121, -457, -577, 513, -233, -513, 260, -581, -839, -640, 847, 80, -321, -765, -238, -840, -401, 200, 440, 6, -171, -514, 605, -1314, -942, -271, -643, 548, 337, -1150, 254, -841, -1232, 905, 1140, -175, -396, 191, 413, 992, 196, -189, 3, 1042, -61, -127, -146, -1958, 45, -145, 181, -45, -939, 611, 190, -64, -622, -321, 577, -769, 87, 87, -136, 424, -595, -28, 267, -593, -69, -1868, -312, -161, -25, -223, -233, 491, 189, 50, -526, 1007, -12, 78, -459, -80, 428, -387, 951, -168, -73, -147, -7, -499, -578, -48, 1, -366, 21, -683, -497, 288, 292, -860, 680, 489, -426, -1233, -263, 351, 227, 361, -213, -151, -393, -191, 384, -1239, -719, 5, 663, 617, -173, -282, -414, -471, -293, -639, 332, 843, -441, -563, 184, -154, 456, -584, -105, 296, -164, -389, -67, -202, -43, 486, 723, -177, 55, 425, -51, -735, 790, 947, -207, -357, -930, 627, -77, 766, 42, -14, 255, -1153, -31, -608, 526, 1348, -404, 389, -474, -952, -76, -121, 357, 1273, 723, 638, 177, -1046, -957, -160, 1364, -132, -94, 176, -264, -332, -162, -679, -419, -538, -324, 570, -372, 471, -420, 390, 469, 116, 164, -1393, 52, -572, -739, 544, -666, -237, 544, -1017, 146, -848, -797, -146, 689, 168, -574, -126, 663, -20, -416, 257, 691, 1330, -626, -26, 649, -1023, -123, -1615, 0, 548, -49, -293, -195, 278, -816, -197, 4, -263, -412, -1231, 143, -938, 317, 1149, -392, -153, -717, -340, 528, 1057, -593, -25, -18, -1333, 189, -307, -1, -437, -862, 278, -180, -353]