# Trace form for 4010.2.a.i, downloaded from the LMFDB on 28 March 2024. [0, 10, -10, -4, 10, 10, 4, -3, -10, 6, -10, -11, -4, 6, 3, -4, 10, 9, -6, -13, 10, -24, 11, -3, 4, 10, -6, -10, -3, -4, 4, -17, -10, -2, -9, -3, 6, -15, 13, -6, -10, -11, 24, -11, -11, 6, 3, 3, -4, -5, -10, -21, 6, 25, 10, -11, 3, 31, 4, -46, -4, -54, 17, -6, 10, 6, 2, -26, 9, -9, 3, -16, -6, 4, 15, -4, -13, 11, 6, -19, 10, -6, 11, 19, -24, 9, 11, 28, 11, -30, -6, -38, -3, -18, -3, -13, 4, -16, 5, -59, 10, -4, 21, -33, -6, -24, -25, -33, -10, -12, 11, 13, -3, 43, -31, -3, -4, 34, 46, -27, 4, 25, 54, 11, -17, 10, 6, -19, -10, 10, -6, -46, -2, -7, 26, -10, -9, -18, 9, -61, -3, -29, 16, -20, 6, -4, -4, 54, -15, -20, 4, -49, 13, 36, -11, -17, -6, -20, 19, -10, -10, 33, 6, -54, -11, -2, -19, 38, 24, 4, -9, -7, -11, 53, -28, -3, -11, 25, 30, 1, 6, -26, 38, -3, 3, -15, 18, -5, 3, -7, 13, -11, -4, -19, 16, -6, -5, 68, 59, -60, -10, 46, 4, 14, -21, -11, 33, 30, 6, -7, 24, -61, 25, 15, 33, -11, 10, 21, 12, -76, -11, -2, -13, -29, 3, 6, -43, 44, 31, -92, 3, 34, 4, 14, -34, 3, -46, 15, 27, -9, -4, 6, -25, -24, -54, -5, -11, -54, 17, -45, -10, -91, -6, -27, 19, -21, 10, -34, -10, -55, 6, 27, 46, -35, 2, 25, 7, -44, -26, -90, 10, -9, 9, -5, 18, -11, -9, 50, 61, -89, 3, -4, 29, 25, -16, 31, 20, 40, -6, -53, 4, -40, 4, 55, -54, -46, 15, 52, 20, -85, -4, 40, 49, 1, -13, -54, -36, -10, 11, -74, 17, 49, 6, 26, 20, -6, -19, 19, 10, -150, 10, -56, -33, -62, -6, 6, 54, -21, 11, 38, 2, -30, 19, -38, -38, -26, -24, -53, -4, -69, 9, -19, 7, -57, 11, -9, -53, -43, 28, -25, 3, -27, 11, -37, -25, -16, -30, -51, -1, -40, -6, -25, 26, 24, -38, 4, 3, -84, -3, -120, 15, -96, -18, -39, 5, -4, -3, 57, 7, -94, -13, 44, 11, 25, 4, 11, 19, -42, -16, 12, 6, 22, 5, -38, -68, -19, -59, 78, 60, -42, 10, 10, -46, -88, -4, -6, -14, 69, 21, -88, 11, -67, -33, -44, -30, 19, -6, 103, 7, -55, -24, -90, 61, -7, -25, 9, -15, -51, -33, 0, 11, 37, -10, 19, -21, 28, -12, 49, 76, -11, 11, 39, 2, -29, 13, -30, 29, -65, -3, 2, -6, 7, 43, -114, -44, -38, -31, -136, 92, -58, -3, -51, -34, -56, -4, -18, -14, -17, 34, -74, -3, -32, 46, 43, -15, -13, -27, 28, 9, 0, 4, 14, -6, -58, 25, -16, 24, -112, 54, -97, 5, 60, 11, -68, 54, -59, -17, 40, 45, -45, 10, 33, 91, -64, 6, -4, 27, -79, -19, 27, 21, 110, -10, 63, 34, -33, 10, -35, 55, -35, -6, 81, -27, 50, -46, -24, 35, 25, -2, -135, -25, 54, -7, -30, 44, -33, 26, 0, 90, -10, -10, 61, 9, 148, -9, -12, 5, 13, -18, 42, 11, -18, 9, -51, -50, 13, -61, 39, 89, -192, -3, 113, 4, 30, -29, 43, -25, 99, 16, 46, -31, 20, -20, 23, -40, -3, 6, -14, 53, 172, -4, 48, 40, -107, -4, 34, -55, 56, 54, -77, 46, 125, -15, 49, -52, -27, -20, 84, 85, 42, 4, 48, -40, -66, -49, 25, -1, 59, 13, 20, 54, 38, 36, -18, 10, 11, -11, 72, 74, 4, -17, -21, -49, -8, -6, 10, -26, -131, -20, 71, 6, 45, 19, 47, -19, -19, -10, 68, 150, -70, -10, 1, 56, 116, 33, 10, 62, 90, 6, -44, -6, 251, -54, 69, 21, -46, -11, 2, -38, -32, -2, 103, 30, 48, -19, -7, 38, -8, 38, -79, 26, 112, 24, 62, 53, -10, 4, -22, 69, 21, -9, 139, 19, 95, -7, -18, 57, -7, -11, 55, 9, -63, 53, 86, 43, -61, -28, -19, 25, -57, -3, 184, 27, -60, -11, -29, 37, -3, 25, -85, 16, 79, 30, 16, 51, -20, 1, 98, 40, -19, 6, 36, 25, 22, -26, -4, -24, -148, 38, -30, -4, -40, -3, -2, 84, 54, 3, 190, 120, -31, -15, 109, 96, -5, 18, -20, 39, -5, -5, -104, 4, -15, 3, 56, -57, -49, -7, -42, 94, 31, 13, -46, -44, -2, -11, 36, -25, 76, -4, -73, -11, 56, -19, -22, 42, -17, 16, 111, -12, -3, -6, 12, -22, -102, -5, -20, 38, 72, 68, -15, 19, 91, 59, 15, -78, -10, -60, 69, 42, -162, -10, 83, -10, -24, 46, 33, 88, 135, 4, 148, 6, 41, 14, 48, -69, -54, -21, 169, 88, -31, -11, 94, 67, 71, 33, -2, 44, -7, 30, -15, -19, 89, 6, 81, -103, 38, -7, 123, 55, -107, 24, 48, 90, -47, -61, 4, 7, -22, 25, 136, -9, -58, 15, 100, 51, -7, 33, 130, 0, -6, -11, 153, -37, 37, 10, 53, -19, 25, 21, -91, -28, 76, 12, -69, -49, -3, -76, 63, 11, 77, -11, 18, -39, -82, -2, 25, 29, 17, -13, -126, 30, 75, -29, 68, 65, 1, 3, 109, -2, 43, 6, -7, -7, 59, -43, -26, 114, -66, 44, -18, 38, 92, 31, 165, 136, -3, -92, 123, 58, -110, 3, 248, 51, 51, 34, -15, 56, 104, 4, -31, 18, -19, 14, -79, 17, -5, -34, -117, 74, 93, 3, 92, 32, -26, -46, -7, -43, 92, 15, -76, 13, 96, 27, 43, -28, -11, -9, 10, 0, 133, -4, 167, -14, 194, 6, -19, 58, 9, -25, -2, 16, 37, -24, 28, 112, -6, -54, 77, 97, -62, -5, 107, -60, -9, -11, 68, 68, 149, -54, 102, 59, -44, 17, 65, -40, -60, -45, -16, 45, -118, -10, 138, -33, -102, -91, 46, 64, 62, -6, 21, 4, 106, -27, 82, 79, 14, 19, 263, -27, -20, -21, -81, -110, 266, 10, -11, -63, -100, -34, -52, 33, 7, -10, -149, 35, 30, -55, 119, 35, 61, 6, -23, -81, 50, 27, -7, -50, 77, 46, 34, 24, -27, -35, -101, -25, -61, 2, 72, 135, 48, 25, 68, -54, 80, 7, 15, 30, 70, -44, -98, 33, 49, -26, -46, 0, -11, -90, 116, 10, -67, 10, -48, -61, 69, -9, 21, -148, -187, 9, 17, 12, 8, -5, 161, -13, -76, 18, 36, -42, 63, -11, 80, 18, 9, -9, -2, 51, 64, 50, 63, -13, 120, 61, 31, -39, -29, -89, -114, 192, 73, 3, 117, -113, 12, -4, 6, -30, 2, 29, -24, -43, -24, 25, 45, -99, 44, -16, 75, -46, 60, 31, 65, -20, -57, 20, -92, -23, 83, 40, 73, 3, 53, -6, 18, 14, 34, -53, 17, -172, 23, 4, 139, -48, -123, -40, 14, 107, -14, 4, -135, -34, -142, 55, -73, -56, 3, -54, -95, 77, 48, -46, 80, -125, 31, 15, 15, -49, -37, 52, 39, 27, 171, 20, 206, -84, -9, -85, 19, -42, -36, -4, 126, -48, -4, 40, 6, 66, -84, 49, -39, -25, 96, 1, 32, -59, -24, -13, 2, -20, -38, -54, 147, -38, -13, -36, -5, 18, 188, -10, -27, -11, 23, 11, -87, -72, -54, -74, -14, -4, 167, 17, 35, 21, -225, 49, -45, 8, -215, 6, 48, -10, -90, 26, 76, 131, -91, 20, -31, -71, -135, -6, 39, -45, 106, -19, -27, -47, -133, 19, 26, 19, 95, 10, -68, -68, -21, -150, 203, 70, -115, 10, -19, -1, 52, -56, -34, -116, -70, -33, -63, -10, 82, -62, 5, -90, -55, -6, -72, 44, -20, 6, -71, -251, 65, 54, 27, -69, -13, -21, -63, 46, -39, 11, 70, -2, -35, 38, -116, 32, -80, 2, -45, -103, -3, -30, 25, -48, -37, 19, 24, 7, 99, -38, 23, 8, -44, -38, 187, 79, -79, -26, -50, -112, 120, -24, -90, -62, 142, -53, -107, 10, 34, -4, -85, 22, -9, -69, -47, -21, 99, 9, -60, -139, 102, -19, -5, -95, -149, 7, -41, 18, -154, -57, 85, 7, -11, 11, 84, -55, -116, -9, 128, 63, 74, -53, 50, -86, -109, -43, 16, 61, 151, 28, 34, 19, -89, -25, 117, 57, 64, 3, -16, -184, 33, -27, -4, 60, -33, 11, 65, 29, -2, -37, 0, 3, 25, -25, 198, 85, -190, -16, 43, -79, -160, -30, 31, -16, 25, -51, 24, 20, 303, -1, 12, -98, 40, -40, 84, 19, -122, -6, -50, -36, -10, -25, -53, -22, -64, 26, 51, 4, -122, 24, 47, 148, -40, -38, 55, 30, -81, 4, 27, 40, 73, 3, 55, 2, -117, -84, 39, -54, -34, -3, -32, -190, -46, -120, -127, 31, 11, 15, 155, -109, -18, -96, 52, 5, -74, -18, 113, 20, 199, -39, 39, 5, -85, 5, -154, 104, 67, -4, 41, 15, -39, -3, 40, -56, 4, 57, -71, 49, -47, 7, 163, 42, 1, -94, 43, -31, -140, -13, -112, 46, -34, 44, -54, 2, -3, 11, 171, -36, -140, 25, 93, -76, -10, 4, -92, 73, -86, 11, -99, -56, 15, 19, -74, 22, -185, -42, -10, 17, 109, -16, -125, -111, 49, 12, 124, 3, -98, 6, 66, -12, -115, 22, 26, 102, -157, 5, -24, 20, -91, -38, -134, -72, -6, -68, 16, 15, 318, -19, 61, -91, -74, -59, 19, -15, -43, 78, -93, 10, -74, 60, 17, -69, -150, -42, -121, 162, 125, 10, 150, -83, 25, 10, -56, 24, -51, -46, -159, -33, 80, -88, -15, -135, -62, -4, -136, -148, 43, -6, -143, -41, -122, -14, 6, -48, -204, 69, 19, 54, 46, 21, -93, -169, -21, -88, -219, 31, 248, 11, 99, -94, 134, -67, 38, -71, 53, -33, 74, 2, 103, -44, 22, 7, -30, -30, 171, 15, -59, 19, 133, -89, -36, -6, -38, -81, -40, 103, 124, -38, 12, 7, -116, -123, -26, -55, 140, 107, 73, -24, 55, -48, -70, -90, -53, 47, -73, 61, 158, -4, -27, -7, -39, 22, -69, -25, 107, -136, -242, 9, 76, 58, -19, -15, -19, -100, -229, -51, 20, 7, 100, -33, 108, -130, -57, 0, -40, 6, -377, 11, -65, -153, 278, 37, -9, -37, 90, -10, 40, -53, -22, 19, -37, -25, -43, -21, 6, 91, -36, 28, 183, -76, -152, -12, -25, 69, -181, 49, -54, 3, 186, 76, 2, -63, -27, -11, 132, -77, -6, 11, 37, -18, 149, 39, -37, 82, -122, 2, -166, -25, -61, -29, -29, -17, -16, 13, 91, 126, 8, -30, 145, -75, -84, 29, -51, -68, 20, -65, 4, -1, -55, -3, -32, -109, -40, 2, -98, -43, 73, -6, -160, 7, -87, 7, -25, -59, -125, 43, -33, 26, -12, -114, -43, 66, 24, -44, 132, 18, 122, -38, 244, -92, 98, -31, 4, -165, -170, -136, -4, 3, 18, 92, -267, -123, -84, -58, 22, 110, 94, -3, 12, -248, -33, -51, -120, -51, 10, -34, 157, 15, 218, -56, -1, -104, -96, -4, -22, 31, -29, -18, 25, 19, 68, -14, -39, 79, -56, -17, 11, 5, 67, 34, -54, 117, -4, -74, 102, -93, 113, -3, 75, -92, 107, -32, 57, 26, -7, 46, -148, 7, 3, 43, -135, -92, -94, -15, -117, 76, -24, -13, 90, -96, -7, -27, 44, -43, 162, 28, 45, 11, 175, 9, 41, -10, 25, 0, 32, -133, 64, 4, -27, -167, 2, 14, 11, -194, -121, -6, 207, 19, -144, -58, -47, -9, -42, 25, 10, 2, -26, -16, -49, -37, -117, 24, 12, -28, -39, -112, 59, 6, -129, 54, -181, -77, 22, -97, -147, 62, -171, 5, -211, -107, 143, 60, -38, 9, 8, 11, -217, -68, -112, -68, -146, -149, -19, 54, 389, -102, -148, -59, -192, 44, -260, -17, 78, -65, -176, 40, 80, 60, -10, 45, 197, 16, -42, -45, 225, 118, 81, 10, 8, -138, 61, 33, 10, 102, 26, 91, -91, -46, -116, -64, 87, -62, -88, 6, -61, -21, 48, -4, -28, -106, -29, 27, -6, -82, 127, -79, -106, -14, 236, -19, -33, -263, 69, 27, 170, 20, 65, 21, 32, 81, -23, 110, -88, -266, 75, -10, -3, 11, -299, 63, 63, 100, -67, 34, -130, 52, 138, -33, -22, -7, 102, 10, -44, 149, -160, -35, -350, -30, -166, 55, -53, -119, 19, -35, -100, -61, 21, -6, -188, 23, -86, 81, 103, -50, -68, -27, 30, 7, -82, 50, -31, -77, -55, -46, 11, -34, -67, -24, 241, 27, -99, 35, -90, 101, -234, 25, -36, 61, -27, -2, 133, -72, -7, -135, 86, -48, 56, -25, -171, -68, -111, 54, 9, -80, 107, -7, -16, -15, -91, -30, -72, -70, -51, 44, -155, 98, 94, -33, -33, -49, -175, 26, 0, 46, -82, 0, -41, 11, -129, 90, 96, -116, 37, -10, 197, 67, 89, -10, 48, 48, 117, 61, 19, -69, -124, 9, -45, -21, 27, 148, -116, 187, 28, -9, 179, -17, -219, -12, -87, -8, 76, 5, 49, -161, -41, 13, 282, 76, 105, -18, -283, -36, -11, 42, -303, -63, 277, 11, 117, -80, 5, -18, 39, -9, -74, 9, 91, 2, -32, -51, 75, -64, -29, -50, 251, -63, 107, 13, -223, -120, -126, -61, -30, -31, -106, 39, -99, 29, -58, 89, 62, 114, -65, -192, 93, -73, 109, -3, 100, -117, -136, 113, 2, -12, 109, 4, 10, -6, -31, 30, 128, -2, 7, -29, 127, 24, 94, 43, 148, 24, 238, -25, -114, -45, -112, 99, -98, -44, 143, 16, -301, -75, -38, 46, 26, -60, 141, -31, -2, -65, 111, 20, -136, 57, -206, -20, -15, 92, 47, 23, -102, -83, -58, -40, -106, -73, 48, -3, -171, -53, -365, 6, -51, -18, -280, -14, -152, -34, 26, 53, -63, -17, -56, 172, -30, -23, -58, -4, -207, -139, -25, 48, -18, 123, 106, 40, -152, -14, 101, -107, -29, 14, -17, -4, -183, 135, -66, 34, 202, 142, -67, -55, -74, 73, -95, 56, -40, -3, -194, 54, -74, 95, -32, -77, 208, -48, 68, 46, -94, -80, -155, 125, 43, -31, 74, -15, 92, -15, -119, 49, -208, 37, -13, -52, 11, -39, 102, -27, -162, -171, 316, -20, 28, -206, -229, 84, 93, 9, 111, 85, -51, -19, 0, 42, -87, 36, 30, 4, 34, -126, -152, 48, 14, 4, -285, -40, 368, -6, -141, -66, -138, 84, -58, -49, 45, 39, -31, 25, -226, -96, 149, -1, -16, -32, -171, 59, -190, 24, -74, 13, -331, -2, -112, 20, 24, 38, 140, 54, -269, -147, -43, 38, -97, 13, -13, 36, 195, 5, 35, -18, 79, -188, 60, 10, 17, 27, 7, 11, -24, -23, -26, -11, -68, 87, 108, 72, 61, 54, 83, 74, -170, 14, -59, 4, -120, -167, 256, -17, 210, -35, -267, -21, 40, 225, -50, -49, 17, 45, 146, -8, -185, 215, -45, -6, -88, -48, 331, 10, -62, 90, -121, -26, 33, -76, -85, -131, -128, 91, -2, -20, -206, 31, -64, 71, -66, 135, 100, 6, -130, -39, -4, 45, -4, -106, 66, 19, 294, 27, 18, 47, -23, 133, -79, -19, 74, -26, -120, -19, 112, -95, -76, -10, 27, 68, 8, 68, 31, 21, 112, 150, 17, -203, 110, -70, 34, 115, 137, -10, -210, 19, 164, 1, 63, -52, -30, 56, 123, 34, -352, 116, -114, 70, -33, 33, -185, 63, 121, 10, 62, -82, 106, 62, -35, -5, -92, 90, 149, 55, 179, 6, -178, 72, -35, -44, -41, 20, 107, -6, 188, 71, -234, 251, 81, -65, 211, -54, 66, -27, 101, 69, 59, 13, 50, 21, 143, 63, -62, -46, 132, 39, -33, -11, -24, -70, 18, 2, 227, 35, -134, -38, 126, 116, 25, -32, 61, 80, -5, -2, 59, 45, -252, 103, -135, 3, 46, 30, 220, -25, -116, 48, 305, 37, 54, -19, 37, -24, 200, -7, -59, -99, 51, 38, -30, -23, -29, -8, -121, 44, -74, 38, 98, -187, -33, -79, 273, 79, 269, 26, -70, 50, -112, 112, 0, -120, 145, 24, -97, 90, 30, 62, -42, -142, -10, 53, -252, 107, -265, -10, 33, -34, -3, 4, 61, 85, -184, -22, 167, 9, -16, 69, -17, 47, 148, 21, 270, -99, 168, -9, 142, 60, -94, 139, -12, -102, -37, 19, -48, 5, -6, 95, -319, 149, 13, -7, 153, 41, 17, -18, -8, 154, 49, 57, 42, -85, -44, -7, 419, 11, 114, -11, -278, -84, -18, 55, 71, 116, 85, 9, -41, -128, -213, -63, -51, -74, -132, 53, -138, -50, -88, 86, 216, 109, 13, 43, 2, -16, -169, -61, -218, -151, 10, -28, 39, -34, 143, -19, 122, 89, 109, 25, -219, -117, -192, -57, -203, -64, 254, -3, 47, 16, 118, 184, 113, -33, -3, 27, 301, 4, -348, -60, -97, 33, 30, -11, 64, -65, 22, -29, -108, 2, 2, 37, 43, 0, -126, -3, -43, -25, -18, 25, 179, -198, 99, -85, 9, 190, 235, 16, 410, -43, 190, 79, 46, 160, -48, 30, -111, -31, 59, 16, -134, -25, 20, 51, 199, -24, 95, -20, -264, -303, -205, 1, 23, -12, -329, 98, 65, -40, 93, 40, 74, -84, -3, -19, 332, 122, 95, 6, -246, 50, -303, 36, -14, 10, 110, 25, -22, 53, -99, 22, -95, 64, 172, -26, 114, -51, 194, -4, 281, 122, 53, -24, 48, -47, -218, -148, 157, 40, 199, 38, -186, -55, -107, -30, 74, 81, 189, -4, -102, -27, 90, -40, 34, -73, 120, -3, -27, -55, -127, -2, -158, 117, 56, 84, 306, -39, -56, 54, -56, 34, 85, 3, -77, 32, 17, 190, -76, 46, -5, 120, 65, 127, 125, -31, -113, -11, 244, -15, 9, -155, -113, 109, 49, 18, -89, 96, 130, -52, 151, -5, 192, 74, -27, 18, -3, -113, 77, -20, -47, -199, 366, 39, 84, -39, -99, -5, 316, 85, -59, -5, -5, 154, 42, -104, 266, -67, -105, 4]