# Trace form for 8031.2.a.a, downloaded from the LMFDB on 24 April 2024. [0, 92, -6, 92, 70, -18, -6, -42, -15, 92, -44, -24, 70, -48, -29, -18, 26, -69, -6, -74, -42, -42, -62, -19, -15, 16, -27, 92, -101, -54, -44, -67, -36, -24, -63, -31, 70, -70, -18, -48, -125, -98, -29, -159, -52, -18, -68, -15, 26, -28, -7, -69, -98, -23, -6, -93, -48, -74, -37, -36, -42, -172, -26, -42, -23, -66, -62, -143, -74, -19, -30, -9, -15, -134, -19, 16, -157, -25, -27, -138, -29, 92, -61, -24, -101, -84, 14, -54, -140, -148, -44, -115, -12, -67, -79, -10, -36, -165, 36, -24, -24, -103, -63, -120, -46, -31, -97, -24, 70, -114, 48, -70, -165, -66, -18, -123, -71, -48, -57, -17, -125, -78, 15, -98, -119, -63, -29, -154, 6, -159, -72, -116, -52, -78, -35, -18, -129, -48, -68, -198, 14, -15, -78, -20, 26, -196, -25, -28, -121, -52, -7, -112, -7, -69, 24, 9, -98, -101, 62, -23, -163, -121, -6, -127, -94, -93, -102, 16, -48, -48, 109, -74, -206, -76, -37, -140, -58, -36, -62, -5, -42, -152, 61, -172, -137, -98, -26, -123, 57, -42, 58, -11, -23, -155, -41, -66, -41, 18, -62, -127, 55, -143, 1, 75, -74, -156, 17, -19, -91, -191, -30, -240, 58, -9, -20, -24, -15, -186, 74, -134, -101, 8, -19, -92, -19, 16, 1, -10, -157, -58, 42, -25, -54, -63, -27, -165, -35, -138, -34, 14, -29, -292, 99, 92, -280, 14, -61, -93, 57, -24, -36, -23, -101, -61, 62, -84, -56, -30, 14, -182, 28, -54, 80, 49, -140, -101, 89, -148, -131, -124, -44, -115, -44, -115, -87, 51, -12, -125, 67, -67, 99, -85, -79, -285, 70, -10, -17, 96, -36, -115, 99, -165, -122, 1, 36, -109, 1, -24, -31, 55, -24, -83, 100, -103, -176, -35, -63, -204, 141, -120, 66, -103, -46, -202, 47, -31, -214, 94, -97, -116, 128, -24, 74, 141, 70, -120, 85, -114, 6, -195, 48, -132, 43, -70, -18, 74, -165, -334, 180, -66, 46, -62, -18, -147, 107, -123, -50, 46, -71, -146, 91, -48, -161, -62, -57, -220, -119, -17, -3, 7, -125, -104, 50, -78, -35, -4, 15, -160, -5, -98, 152, 84, -119, -165, 129, -63, -76, -13, -29, -132, 168, -154, -60, 104, 6, -193, 85, -159, -201, -51, -72, -208, 259, -116, -3, 67, -52, -12, 175, -78, 12, -91, -35, -246, -86, -18, 8, 128, -129, -271, 168, -48, -86, -6, -68, -140, 82, -198, 38, -4, 14, -107, 190, -15, -131, -242, -78, -97, 128, -20, 176, -8, 26, -162, 195, -196, -69, 12, -25, -225, 373, -28, 4, 93, -121, -24, 34, -52, -142, -31, -7, -266, 137, -112, -9, 107, -7, -266, 202, -69, 54, -162, 24, -77, 124, 9, 101, 77, -98, -99, 236, -101, -71, -27, 62, -237, 212, -23, 81, 27, -163, -401, 124, -121, 16, 187, -6, -81, 116, -127, 110, 92, -94, -24, 188, -93, -75, 38, -102, -129, 233, 16, 73, -3, -48, -150, 240, -48, -200, 24, 109, -85, 306, -74, 32, 251, -206, -133, 313, -76, 147, -153, -37, -392, -49, -140, 49, 125, -58, -109, 233, -36, 113, 59, -62, -19, 51, -5, 161, 63, -42, -140, 290, -152, -35, -105, 61, -365, 273, -172, 73, 51, -137, 2, 247, -98, -211, 72, -26, -46, 408, -123, 97, 115, 57, 1, 197, -42, 10, -177, 58, -254, 234, -11, 220, 194, -23, -150, 285, -155, -54, -38, -41, -57, 141, -66, 32, 133, -41, -133, 395, 18, 31, -4, -62, -58, 144, -127, 78, 101, 55, -422, 414, -143, 18, 52, 1, -150, 248, 75, 295, 118, -74, -73, 382, -156, 252, 88, 17, -117, 445, -19, 94, 198, -91, -84, 143, -191, 55, 88, -30, -13, 400, -240, 107, 153, 58, -43, 268, -9, 123, -120, -20, -70, 198, -24, 19, 153, -15, -334, 409, -186, 27, 82, 74, -18, 88, -134, 238, 98, -101, -77, 344, 8, -81, 129, -19, -378, 375, -92, 210, 125, -19, -227, 170, 16, 115, 8, 1, 47, 491, -10, 103, 185, -157, -10, 57, -58, -230, -313, 42, -53, 107, -25, 191, 143, -54, -35, 143, -63, 80, -159, -27, -115, 92, -165, -93, 203, -35, -82, 271, -138, -12, -72, -34, -96, 188, 14, 145, 9, -29, -268, 206, -292, -241, 47, 99, -92, 293, 92, 151, 150, -280, -96, 13, 14, -300, 131, -61, -170, 50, -93, 37, 118, 57, -356, 138, -24, 204, 93, -36, -86, 266, -23, 47, 17, -101, 50, -69, -61, 174, -304, 62, -212, 230, -84, -176, 144, -56, -408, 463, -30, -96, 61, 14, 0, -106, -182, -186, 106, 28, -180, 328, -54, 61, 5, 80, -81, -47, 49, 95, 87, -140, -94, 21, -101, -86, -2, 89, -84, -59, -148, -23, 128, -131, -6, -111, -124, 106, -240, -44, -196, 343, -115, 124, 213, -44, -54, 135, -115, -117, -46, -87, -57, 252, 51, -30, 144, -12, 91, 376, -125, -57, -167, 67, -355, -364, -67, 126, 55, 99, -72, 334, -85, -288, 94, -79, 43, 242, -285, 26, 163, 70, -142, 166, -10, 109, -22, -17, -60, -7, 96, 81, 225, -36, -131, -57, -115, -135, 110, 99, -176, 386, -165, 253, 204, -122, 34, -26, 1, 55, -478, 36, -260, 444, -109, -171, 146, 1, -126, 50, -24, 215, 132, -31, 81, -77, 55, 6, -115, -24, -312, 128, -83, -68, 139, 100, -268, 103, -103, 568, -42, -176, -113, 157, -35, -88, 328, -63, -163, 126, -204, -47, 179, 141, -54, 39, -120, 141, -71, 66, -241, 155, -103, 21, 209, -46, -248, -96, -202, -183, -216, 47, -136, 162, -31, 110, 195, -214, 58, 178, 94, 148, -130, -97, -111, 64, -116, -157, 134, 128, -157, 66, -24, -31, 6, 74, 29, 287, 141, 66, 1, 70, 233, -191, -120, -602, 116, 85, -200, 113, -114, 172, 113, 6, -491, -134, -195, -241, -52, 48, -9, 292, -132, 159, 263, 43, -165, 277, -70, -4, -195, -18, -227, -37, 74, 111, 55, -165, -304, 285, -334, 103, -106, 180, 100, -52, -66, 303, 189, 46, -93, 409, -62, -56, -33, -18, -137, 10, -147, 42, 9, 107, -182, 1, -123, 63, 229, -50, 98, 10, 46, -90, 68, -71, 191, -365, -146, 247, -283, 91, -113, 248, -48, 252, 106, -161, -112, 1, -62, 45, 70, -57, -187, 274, -220, 84, 351, -119, -396, -125, -17, 231, -17, -3, -440, -125, 7, -123, 238, -125, -332, 321, -104, 3, 38, 50, -75, -453, -78, 347, -76, -35, -139, 177, -4, -273, -91, 15, -77, 182, -160, -137, 335, -5, -132, -298, -98, 342, -61, 152, -77, 46, 84, 9, 138, -119, -112, 78, -165, 300, -242, 129, -319, 81, -63, 454, 165, -76, -249, -113, -13, -468, -33, -29, 116, 111, -132, -95, 211, 168, -109, 234, -154, 262, -106, -60, -53, 178, 104, -7, -108, 6, -231, 210, -193, -425, 195, 85, 156, 156, -159, 281, 270, -201, -44, 5, -51, 230, -112, -72, -277, 196, -208, -153, 78, 259, -295, 324, -116, 390, 119, -3, -60, 3, 67, -191, 241, -52, 74, 185, -12, 175, -189, 175, -241, -63, -78, 123, 147, 12, -383, 165, -91, 282, 171, -35, -20, -11, -246, 62, 210, -86, -81, 127, -18, 157, -13, 8, -178, 330, 128, 306, 280, -129, -3, -210, -271, -363, -12, 168, -123, 579, -48, 347, 209, -86, 168, -146, -6, 57, -124, -68, -86, -232, -140, 2, 259, 82, -498, 178, -198, 11, 112, 38, 85, -95, -4, 324, 180, 14, 90, 171, -107, -15, -196, 190, -110, 64, -15, 378, 218, -131, -411, 296, -242, -107, 67, -78, 74, 301, -97, 54, 248, 128, 113, -147, -20, 785, 19, 176, -71, 817, -8, -58, 399, 26, -148, -36, -162, 282, -229, 195, -155, 180, -196, 106, 227, -69, -21, 57, 12, 225, 8, -25, 244, -447, -225, 151, 112, 373, -345, 236, -28, 211, 243, 4, -54, 7, 93, 23, 330, -121, 1, 294, -24, -5, -85, 34, -210, 215, -52, 792, 293, -142, -115, -19, -31, -157, -237, -7, -34, 365, -266, 123, 323, 137, 183, 230, -112, 710, -424, -9, -219, 8, 107, -38, 160, -7, -24, 201, -266, -68, 88, 202, -218, 271, -69, 499, 181, 54, -35, -66, -162, -19, -155, 24, -227, 135, -77, 261, 136, 124, 20, 81, 9, 361, 428, 101, 96, 159, 77, 369, 239, -98, 44, -52, -99, -405, 5, 236, -249, 415, -101, 458, 319, -71, -29, 78, -27, 94, -31, 62, 241, -88, -237, -152, 395, 212, -134, 265, -23, 381, -91, 81, 193, -255, 27, 8, 145, -163, -364, 299, -401, 156, 83, 124, -63, -22, -121, 771, 24, 16, -67, 433, 187, 123, 68, -6, -168, 70, -81, 375, 262, 116, -156, -357, -127, 83, -278, 110, -246, 57, 92, 539, 310, -94, 319, 323, -24, 242, -349, 188, -400, 412, -93, 296, 206, -75, -193, 83, 38, -202, 176, -102, 93, 99, -129, 197, 17, 233, -155, 191, 16, 661, 186, 73, -347, 311, -3, 241, 205, -48, 134, 27, -150, 47, 256, 240, 175, 436, -48, 318, 178, -200, -248, 18, 24, 5, -160, 109, -214, 445, -85, 160, 235, 306, -417, 42, -74, 584, 94, 32, 19, 698, 251, -53, 496, -206, 104, -334, -133, -103, 81, 313, 67, -76, -76, 663, 63, 147, -323, 99, -153, -257, 434, -37, 346, 567, -392, 175, 34, -49, 57, 129, -140, 564, 206, 49, -38, -94, 125, 369, 239, -58, 61, 124, -109, -32, 247, 233, 135, 202, -36, 144, 86, 113, 22, 157, 59, 268, -539, -62, -157, -9, -19, -85, 256, 51, -505, 199, -5, 364, 118, 161, 21, -380, 63, 26, 180, -42, 122, 356, -140, 52, 31, 290, -133, 476, -152, 419, 204, -35, -46, 62, -105, -344, 189, 61, 258, 377, -365, 249, 481, 273, 150, -371, -172, 319, -17, 73, -72, 278, 51, 96, 174, -137, -204, -174, 2, 188, 71, 247, -297, 258, -98, 787, 157, -211, -98, -280, 72, 474, 116, -26, -137, -624, -46, 176, 172, 408, -282, 438, -123, 407, 325, 97, 217, 444, 115, 278, 479, 57, 26, -49, 1, -247, -38, 197, -275, 158, -42, 339, 340, 10, 386, -168, -177, 458, 438, 58, 58, 401, -254, 347, 239, 234, 54, -46, -11, 1165, -292, 220, -263, 482, 194, 72, 410, -23, 7, 128, -150, 32, 237, 285, 118, 82, -155, 528, 59, -54, -83, 626, -38, 37, -44, -41, -133, 299, -57, 458, 51, 141, -103, 467, -66, 67, 138, 32, -133, 669, 133, 95, 277, -41, 145, 272, -133, 207, 31, 395, -303, 191, 18, 828, 522, 31, -219, -33, -4, 377, 32, -62, 325, 117, -58, 184, 396, 144, 179, 257, -127, 217, 238, 78, -298, -131, 101, 198, 245, 55, -31, 363, -422, 176, 264, 414, 211, 565, -143, 900, -34, 18, 144, 282, 52, -222, -9, 1, -16, 382, -150, 25, 318, 248, -301, -129, 75, 440, 217, 295, 42, 743, 118, 221, 413, -74, 139, 186, -73, 599, -108, 382, -218, -245, -156, 13, 353, 252, 55, 412, 88, 345, 410, 17, 368, -246, -117, -82, 248, 445, -253, 330, -19, 796, -45, 94, -122, 372, 198, 284, 237, -91, 36, 399, -84, -45, 444, 143, 174, 696, -191, 659, 364, 55, 320, 72, 88, 125, -297, -30, 40, 500, -13, 444, 514, 400, -21, 362, -240, 195, 110, 107, 165, 221, 153, 74, 361, 58, 3, -172, -43, 138, 372, 268, -24, 17, -9, 928, 373, 123, -346, 584, -120, -246, 333, -20, 78, -112, -70, 267, -12, 198, -19, 387, -24, 890, 145, 19, 92, 665, 153, 307, 542, -15, 248, 191, -334, 532, -90, 409, 92, 522, -186, 281, 513, 27, 269, 457, 82, 276, -3, 74, 168, 730, -18, 100, 506, 88, -225, -220, -134, 610, 299, 238, -20, 309, 98, 32, 178, -101, 581, 492, -77, 197, 429, 344, -44, 94, 8, 713, 233, -81, -321, 832, 129, 304, 403, -19, 66, 304, -378, 418, 227, 375, 292, 296, -92, 527, -105, 210, -23, 53, 125, 357, 471, -19, 306, 487, -227, 60, 48, 170, -43, 778, 16, 483, 411, 115, -54, 53, 8, -270, 121, 1, 324, -2, 47, -287, 501, 491, -79, 66, -10, 628, 118, 103, 347, 837, 185, 210, 227, -157, -120, 71, -10, 165, 99, 57, -146, 255, -58, 579, 326, -230, 314, -567, -313, -289, 156, 42, 452, 1027, -53, 333, 187, 107, 134, 102, -25, 648, -139, 191, -275, -35, 143, -200, 578, -54, -484, 213, -35, -618, 474, 143, 221, -155, -63, 601, 104, 80, 26, 592, -159, 386, 34, -27, 146, -402, -115, -141, 165, 92, -115, 195, -165, 202, 356, -93, -51, 137, 203, -1, 232, -35, 477, -421, -82, 354, -63, 271, -512, 464, -138, 726, 335, -12, 56, -167, -72, 347, -183, -34, 83, -84, -96, 111, 357, 188, 156, 67, 14, 665, 170, 145, -105, 124, 9, -73, 210, -29, -103, 175, -268, -618, 537, 206, 73, 264, -292, 377, 254, -241, 78, 195, 47, -198, -25, 99, 111, -452, -92, 587, 174, 293, -224, -436, 92, -319, 328, 151, 65, 629, 150, -54, 603, -280, 249, -7, -96, 363, -475, 13, -163, 199, 14, 490, 322, -300, -7, 72, 131, 108, -29, -61, 516, -115, -170, 178, 315, 50, 16, 144, -93, -121, -290, 37, -280, 0, 118, -9, 296, 57, 129, 67, -356, -391, 531, 138, -88, 290, -24, 446, 40, 204, 197, -543, 93, -259, 444, -36, -9, 683, -86, -124, 344, 266, 19, -104, -23, 832, 94, 47, -178, -448, 17, -216, 620, -101, 384, 98, 50, 69, -92, -69, -197, -237, -61, 137, 214, 174, -321, -102, -304, -413, -16, 62, -69, -86, -212, 70, 266, 230, 361, 80, -84, 420, 90, -176, -148, 544, 144, -89, 710, -56, -163, -1003, -408, -529, 83, 463, -83, 736, -30, 510, 492, -96, 106, -563, 61, -342, -35, 14, -215, -17, 0, -231, 351, -106, -495, -357, -182, 433, -142, -186, 253, 88, 106, -272, -180, 28, 102, 80, -180, 134, 116, 328, -102, -310, -54, 266, -115, 61, -234, 279, 5, 75, 275, 80, 677, 113, -81, -138, 566, -47, 472, -594, 49, 304, -644, 95, -142, -201, 87, -188, 300, -140, 151, 81, -94, 251, 103, 21, -458, 76, -101, 38, 571, -86, 16, -498, -2, 232, 109, 89, 115, -402, -84, -235, 273, -59, -164, 388, -148, -87, 398, -23, 184, -87, 128, -239, -42, -131, 212, 291, -6, -214, -29, -111, -406, -386, -124, 220, 459, 106, -392, 192, -240, -668, 248, -44, 379, -3, -196, 58, 530, 343, -48, -634, -115, 928, -625, 124, -88, -189, 213, -586, 464, -44, -203, -287, -54, -126, 119, 135, 414, -318, -115, 195, 128, -117, -18, -49, -46, 186, 437, -87, 127, 82, -57, 288, 29, 252, -237, -431, 51, 346, 506, -30, 280, 212, 144, -348, 325, -12, 452, -499, 91, -530, 27, 376, 21, 370, -125, 176, 22, -57, -119, 27, -167, -661, 604, 67, 137, 419, -355, -525, 584, -364, -143, 8, -67, 754, -71, 126, -248, -763, 55, 95, 33, 99, -260, -112, -72, 315, -24, 334, 332, -248, -85, 682, 243, -288, 302, -289, 94, -226, 104, -79, -54, 319, 43, 143, 258, 242, -66, 63, -285, 119, 599, 26, -461, 214, 163, -420, 597, 70, 543, -527, -142, -133, -301, 166, -620, -333, -10, 287, 554, 109, 0, -230, -22, 131, 111, -17, 455, -272, -60, -300, 48, -7, 187, -360, 96, 540, 477, 81, -308, -156, 225, -150, -46, -36, -242, -15, -131, -425, 281, -57, 178, -66, -115, 611, 353, -135, 416, -321, 110, -28, -443, 99, 661, -342, -176, -883, 653, 386, -470, -431, -165, -18, -98, 253, 368, 484, 204, -300, 431, -122, 18, -458, 34, 37, 223, -26, -270, -493, 1, 138, -37, 55, -90, 188, -478, -131, 683, 36, 351, 514, -260, -145, 506, 444, -27, 63, -109, -399, -11, -171, -113, -252, 146, -195, 98, 1, 217, -81, -126, -813, 347, 50, 212, 286, -24, 388, 273, 215, 92, -95, 132, 252, -433, -31, -228, -353, 81, 42, 273, -77, -53, -273, 55, 349, 383, 6, 419, -814, -115, -723, 312, -24, 87, 413, -312, -302, -299, 128, -159, -286, -83, 393, 421, -68, -519, -498, 139, 283, 684, 100, -91, 61, -268, 349, 195, 103, -20, -1362, -103, 511, 5, 568, -154, 529, -42, -203, 388, -176, 284, -723, -113, -477, 403, 157, 40, -592, -35, 874, 177, -88, 226, -235, 328, -122, -255, -63, 164, -807, -163, -330, 241, 126, -374, 441, -204, -224, 218, -47, -109, -488, 179, -463, 155, 141, 208, -686, -54, 322, 164, 39, -201, 33, -120, 185, -54, 141, -227, -956, -71, -983, -112, 66, -73, -3, -241, 426, 566, 155, -62, -362, -103, 1065, -277, 21, -348, -362, 209, 113, 382, -46, -15, -360, -248, 212, -96, -96, -88, -252, -202, -492, 152, -183, 270, 333, -216, -901, -218, 47, 62, 62, -136, 129, 41, 162, 46, 55, -31, 619, 93, 110, 263, -162, 195, 316, 246, -214, -42, 15, 58, -610, -320, 178, -625, -515, 94, 342, 402, 148, -94, -339, -130, 4, -391, -97, 195, 213, -111, -809, 237, 64, -135, -206, -116, 212, -627, -157, -139, -81, 134, -370, 183, 128, -128, -16, -157, -121, 177, 66, 137, -632, -24, 559, 239, -31, -74, -261, 6, -581, -44, 74, -192, -381, 29, 83, 315, 287, -214, -119, 141, 658, -104, 66, -3, 282, 1, -373, 97, 70, 95, -951, 233, 8, -526, -191, -539, 61, -120, 550, 308, -602, -592, 53, 116, 132, 444, 85, 94, -715, -200, -495, 66, 113, -106, 181, -114, -450, -355, 172, -243, -244, 113, -1032, -148, 6, 1, 204, -491, -561, -124, -134, -110, -760, -195, 592, 545, -241, 52, -965, -52, -719, -385, 48, 241, 355, -9, 168, 576, 292, -171, -1214, -132, 53, -668, 159, -148, -451, 263, -33, 341, 43, -196, -572, -165, 331, 48, 277, -298, -619, -70, -252, -399, -4]