# Elliptic curves over number fields downloaded from the LMFDB on 16 September 2026.
# Search link: https://www.lmfdb.org/EllipticCurve/?field=6.6.434581.1
# Query "{'field_label': '6.6.434581.1'}" returned 444 curves, sorted by field.

# Each entry in the following data list has the form:
#    [Label, Class, Base field, Base field defining polynomial, Conductor norm, Rank, Torsion, CM, Sato-Tate, Weierstrass coefficients, Weierstrass equation]
# For more details, see the definitions at the bottom of the file.



"1.1-a1"	"1.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	1	0	[]	0	"1.2.A.1.1a"	[[-3, 1, 15, -8, -7, 3], [2, 2, -3, -2, 1, 0], [-3, 0, 12, -5, -5, 2], [-4340, -11628, -2078, 10491, 2317, -2015], [-144427, -464939, -134018, 435832, 112368, -87669]]	"{y}^2+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-3\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-3\\right){y}={x}^{3}+\\left(a^{4}-2a^{3}-3a^{2}+2a+2\\right){x}^{2}+\\left(-2015a^{5}+2317a^{4}+10491a^{3}-2078a^{2}-11628a-4340\\right){x}-87669a^{5}+112368a^{4}+435832a^{3}-134018a^{2}-464939a-144427"
"1.1-a2"	"1.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	1	0	[]	0	"1.2.A.1.1a"	[[-1, 1, 7, -6, -4, 2], [-3, -2, 11, 0, -4, 1], [0, 2, 7, -6, -4, 2], [-1279, -90, 3065, 16, -2194, 670], [-21619, -10467, 73555, 14638, -68427, 20194]]	"{y}^2+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+a-1\\right){x}{y}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a\\right){y}={x}^{3}+\\left(a^{5}-4a^{4}+11a^{2}-2a-3\\right){x}^{2}+\\left(670a^{5}-2194a^{4}+16a^{3}+3065a^{2}-90a-1279\\right){x}+20194a^{5}-68427a^{4}+14638a^{3}+73555a^{2}-10467a-21619"
"1.1-a3"	"1.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	1	0	[13]	0	"1.2.A.1.1a"	[[-4, 1, 15, -8, -7, 3], [-3, 0, 8, -2, -3, 1], [-2, 0, 8, -2, -3, 1], [-4, -3, 12, 4, -3, 0], [-15, -8, 67, -19, -28, 10]]	"{y}^2+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-4\\right){x}{y}+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}-2\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}-3\\right){x}^{2}+\\left(-3a^{4}+4a^{3}+12a^{2}-3a-4\\right){x}+10a^{5}-28a^{4}-19a^{3}+67a^{2}-8a-15"
"1.1-a4"	"1.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	1	0	[13]	0	"1.2.A.1.1a"	[[-1, 4, 8, -7, -4, 2], [-4, 0, 8, -2, -3, 1], [1, 3, -3, -2, 1, 0], [-3, -17, -6, 15, 4, -3], [4, 16, 5, -15, -4, 3]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+4a-1\\right){x}{y}+\\left(a^{4}-2a^{3}-3a^{2}+3a+1\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}-4\\right){x}^{2}+\\left(-3a^{5}+4a^{4}+15a^{3}-6a^{2}-17a-3\\right){x}+3a^{5}-4a^{4}-15a^{3}+5a^{2}+16a+4"
"27.1-a1"	"27.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	27	0	[]	0	"1.2.A.1.1a"	[[0, 0, 4, -3, -2, 1], [-3, 0, 5, 1, -1, 0], [2, 3, -3, -2, 1, 0], [6, 16, -10, -38, -6, 8], [52, 144, -101, -338, -47, 69]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}\\right){x}{y}+\\left(a^{4}-2a^{3}-3a^{2}+3a+2\\right){y}={x}^{3}+\\left(-a^{4}+a^{3}+5a^{2}-3\\right){x}^{2}+\\left(8a^{5}-6a^{4}-38a^{3}-10a^{2}+16a+6\\right){x}+69a^{5}-47a^{4}-338a^{3}-101a^{2}+144a+52"
"27.1-a2"	"27.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	27	0	[]	0	"1.2.A.1.1a"	[[-3, 4, 12, -10, -6, 3], [-4, -1, 10, 0, -4, 1], [-2, 2, 11, -5, -5, 2], [1, -18, -9, 41, 13, -10], [-2, -20, -1, 46, 10, -10]]	"{y}^2+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-3\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+2a-2\\right){y}={x}^{3}+\\left(a^{5}-4a^{4}+10a^{2}-a-4\\right){x}^{2}+\\left(-10a^{5}+13a^{4}+41a^{3}-9a^{2}-18a+1\\right){x}-10a^{5}+10a^{4}+46a^{3}-a^{2}-20a-2"
"27.1-b1"	"27.1-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	27	0	[]	0	"1.2.A.1.1a"	[[1, 4, -3, -2, 1, 0], [4, 1, -12, 5, 5, -2], [-1, 3, 5, -4, -2, 1], [5, -5, -9, 7, 4, -2], [48, -32, -112, 60, 41, -18]]	"{y}^2+\\left(a^{4}-2a^{3}-3a^{2}+4a+1\\right){x}{y}+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-1\\right){y}={x}^{3}+\\left(-2a^{5}+5a^{4}+5a^{3}-12a^{2}+a+4\\right){x}^{2}+\\left(-2a^{5}+4a^{4}+7a^{3}-9a^{2}-5a+5\\right){x}-18a^{5}+41a^{4}+60a^{3}-112a^{2}-32a+48"
"27.2-a1"	"27.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	27	0	[]	0	"1.2.A.1.1a"	[[1, 1, 0, 0, 0, 0], [-4, -3, 12, 0, -4, 1], [-1, 4, 5, -4, -2, 1], [-1, -6, 0, 8, 3, -2], [0, -3, -10, 10, 6, -3]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-1\\right){y}={x}^{3}+\\left(a^{5}-4a^{4}+12a^{2}-3a-4\\right){x}^{2}+\\left(-2a^{5}+3a^{4}+8a^{3}-6a-1\\right){x}-3a^{5}+6a^{4}+10a^{3}-10a^{2}-3a"
"27.2-a2"	"27.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	27	0	[]	0	"1.2.A.1.1a"	[[-2, 5, 8, -7, -4, 2], [0, 1, -1, 0, 0, 0], [-3, 0, 12, -5, -5, 2], [2, -13, -48, 29, 23, -10], [0, -35, -78, 59, 38, -18]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-2\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-3\\right){y}={x}^{3}+\\left(-a^{2}+a\\right){x}^{2}+\\left(-10a^{5}+23a^{4}+29a^{3}-48a^{2}-13a+2\\right){x}-18a^{5}+38a^{4}+59a^{3}-78a^{2}-35a"
"27.2-b1"	"27.2-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	27	0	[]	0	"1.2.A.1.1a"	[[1, 2, 3, -3, -2, 1], [6, 1, -18, 6, 8, -3], [-2, 5, 12, -10, -6, 3], [21, 61, 16, -58, -13, 11], [-825, -2871, -952, 2735, 744, -560]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+2a+1\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+5a-2\\right){y}={x}^{3}+\\left(-3a^{5}+8a^{4}+6a^{3}-18a^{2}+a+6\\right){x}^{2}+\\left(11a^{5}-13a^{4}-58a^{3}+16a^{2}+61a+21\\right){x}-560a^{5}+744a^{4}+2735a^{3}-952a^{2}-2871a-825"
"29.1-a1"	"29.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	29	0	[]	0	"1.2.A.1.1a"	[[1, 4, 1, -5, -1, 1], [-3, 1, 2, -1, 0, 0], [-2, 5, 12, -10, -6, 3], [6, -27, -117, 65, 81, -34], [30, -13, -264, 31, 163, -56]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+4a+1\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+5a-2\\right){y}={x}^{3}+\\left(-a^{3}+2a^{2}+a-3\\right){x}^{2}+\\left(-34a^{5}+81a^{4}+65a^{3}-117a^{2}-27a+6\\right){x}-56a^{5}+163a^{4}+31a^{3}-264a^{2}-13a+30"
"29.1-a2"	"29.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	29	0	[]	0	"1.2.A.1.1a"	[[-2, 5, 12, -10, -6, 3], [-1, -3, 3, 2, -1, 0], [-1, 1, 7, -6, -4, 2], [5, -65, -170, 75, 65, -25], [41, -174, -737, 173, 262, -81]]	"{y}^2+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+5a-2\\right){x}{y}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+a-1\\right){y}={x}^{3}+\\left(-a^{4}+2a^{3}+3a^{2}-3a-1\\right){x}^{2}+\\left(-25a^{5}+65a^{4}+75a^{3}-170a^{2}-65a+5\\right){x}-81a^{5}+262a^{4}+173a^{3}-737a^{2}-174a+41"
"29.1-a3"	"29.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	29	0	[5]	0	"1.2.A.1.1a"	[[-2, 4, 12, -10, -6, 3], [-2, -2, 7, -1, -3, 1], [-1, 0, 4, -3, -2, 1], [79, -56, -175, 95, 67, -29], [158, -105, -364, 189, 141, -60]]	"{y}^2+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-2\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}-1\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-a^{3}+7a^{2}-2a-2\\right){x}^{2}+\\left(-29a^{5}+67a^{4}+95a^{3}-175a^{2}-56a+79\\right){x}-60a^{5}+141a^{4}+189a^{3}-364a^{2}-105a+158"
"29.1-a4"	"29.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	29	0	[5]	0	"1.2.A.1.1a"	[[-2, 5, 12, -10, -6, 3], [-1, -3, 3, 2, -1, 0], [-1, 1, 7, -6, -4, 2], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]]	"{y}^2+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+5a-2\\right){x}{y}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+a-1\\right){y}={x}^{3}+\\left(-a^{4}+2a^{3}+3a^{2}-3a-1\\right){x}^{2}"
"29.1-b1"	"29.1-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	29	0	[]	0	"1.2.A.1.1a"	[[-3, 1, 12, -5, -5, 2], [3, 3, -10, 4, 5, -2], [-3, 1, 12, -5, -5, 2], [-15, 7, 29, -8, -9, 3], [32, -28, -84, 53, 35, -16]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}+a-3\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}+a-3\\right){y}={x}^{3}+\\left(-2a^{5}+5a^{4}+4a^{3}-10a^{2}+3a+3\\right){x}^{2}+\\left(3a^{5}-9a^{4}-8a^{3}+29a^{2}+7a-15\\right){x}-16a^{5}+35a^{4}+53a^{3}-84a^{2}-28a+32"
"29.1-c1"	"29.1-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	29	0	[]	0	"1.2.A.1.1a"	[[-3, 1, 12, -5, -5, 2], [-6, -4, 15, -3, -6, 2], [-2, 5, 12, -10, -6, 3], [-46, 24, 125, -58, -49, 20], [-78, 40, 193, -92, -75, 31]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}+a-3\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+5a-2\\right){y}={x}^{3}+\\left(2a^{5}-6a^{4}-3a^{3}+15a^{2}-4a-6\\right){x}^{2}+\\left(20a^{5}-49a^{4}-58a^{3}+125a^{2}+24a-46\\right){x}+31a^{5}-75a^{4}-92a^{3}+193a^{2}+40a-78"
"29.1-d1"	"29.1-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	29	1	[]	0	"1.2.A.1.1a"	[[0, 2, 7, -6, -4, 2], [3, 0, -9, 2, 3, -1], [-1, 5, 8, -7, -4, 2], [-5, 2, -1, 2, 2, -1], [1, -7, -2, 6, 1, -1]]	"{y}^2+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-1\\right){y}={x}^{3}+\\left(-a^{5}+3a^{4}+2a^{3}-9a^{2}+3\\right){x}^{2}+\\left(-a^{5}+2a^{4}+2a^{3}-a^{2}+2a-5\\right){x}-a^{5}+a^{4}+6a^{3}-2a^{2}-7a+1"
"29.1-d2"	"29.1-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	29	1	[]	0	"1.2.A.1.1a"	[[-3, 3, 9, -7, -4, 2], [-5, 0, 9, -2, -3, 1], [-3, 1, 15, -8, -7, 3], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+3a-3\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-3\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-2a^{3}+9a^{2}-5\\right){x}^{2}"
"29.2-a1"	"29.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	29	0	[]	0	"1.2.A.1.1a"	[[0, 1, 4, -3, -2, 1], [1, 3, -2, -2, 1, 0], [-2, 4, 5, -4, -2, 1], [-39, 317, 388, -403, -194, 105], [-292, 922, 1108, -1086, -510, 274]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}+a\\right){x}{y}+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-2\\right){y}={x}^{3}+\\left(a^{4}-2a^{3}-2a^{2}+3a+1\\right){x}^{2}+\\left(105a^{5}-194a^{4}-403a^{3}+388a^{2}+317a-39\\right){x}+274a^{5}-510a^{4}-1086a^{3}+1108a^{2}+922a-292"
"29.2-a2"	"29.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	29	0	[]	0	"1.2.A.1.1a"	[[1, 5, 0, -5, -1, 1], [3, -1, -8, 2, 3, -1], [-1, 0, 4, -3, -2, 1], [-347, 211, 796, -397, -309, 130], [-2603, 1599, 6089, -3009, -2356, 980]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+5a+1\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}-1\\right){y}={x}^{3}+\\left(-a^{5}+3a^{4}+2a^{3}-8a^{2}-a+3\\right){x}^{2}+\\left(130a^{5}-309a^{4}-397a^{3}+796a^{2}+211a-347\\right){x}+980a^{5}-2356a^{4}-3009a^{3}+6089a^{2}+1599a-2603"
"29.2-a3"	"29.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	29	0	[5]	0	"1.2.A.1.1a"	[[-3, 2, 11, -5, -5, 2], [-3, 3, 5, -4, -2, 1], [-4, 1, 15, -8, -7, 3], [-1, -9, -15, 14, 8, -4], [4, 15, -2, -13, -1, 2]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+2a-3\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-4\\right){y}={x}^{3}+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-3\\right){x}^{2}+\\left(-4a^{5}+8a^{4}+14a^{3}-15a^{2}-9a-1\\right){x}+2a^{5}-a^{4}-13a^{3}-2a^{2}+15a+4"
"29.2-a4"	"29.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	29	0	[5]	0	"1.2.A.1.1a"	[[-4, 2, 15, -8, -7, 3], [-1, -3, 3, 2, -1, 0], [-3, 1, 15, -8, -7, 3], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]]	"{y}^2+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+2a-4\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-3\\right){y}={x}^{3}+\\left(-a^{4}+2a^{3}+3a^{2}-3a-1\\right){x}^{2}"
"29.2-b1"	"29.2-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	29	0	[]	0	"1.2.A.1.1a"	[[-2, 4, 9, -7, -4, 2], [1, -1, -2, 1, 0, 0], [-4, 0, 12, -5, -5, 2], [1, 1, -6, 1, 3, -1], [-4, -1, 12, -4, -5, 2]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+4a-2\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-4\\right){y}={x}^{3}+\\left(a^{3}-2a^{2}-a+1\\right){x}^{2}+\\left(-a^{5}+3a^{4}+a^{3}-6a^{2}+a+1\\right){x}+2a^{5}-5a^{4}-4a^{3}+12a^{2}-a-4"
"29.2-c1"	"29.2-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	29	0	[]	0	"1.2.A.1.1a"	[[1, 3, 1, -5, -1, 1], [1, 1, -10, 4, 5, -2], [-3, 3, 9, -7, -4, 2], [4, 11, 2, -11, -2, 2], [6, 28, 11, -29, -8, 6]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+3a+1\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+3a-3\\right){y}={x}^{3}+\\left(-2a^{5}+5a^{4}+4a^{3}-10a^{2}+a+1\\right){x}^{2}+\\left(2a^{5}-2a^{4}-11a^{3}+2a^{2}+11a+4\\right){x}+6a^{5}-8a^{4}-29a^{3}+11a^{2}+28a+6"
"29.2-d1"	"29.2-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	29	1	[]	0	"1.2.A.1.1a"	[[0, 3, 1, -5, -1, 1], [2, -5, -8, 7, 4, -2], [-2, 5, 12, -10, -6, 3], [-3, -2, 6, 5, 0, -1], [-3, -8, 1, 18, 4, -4]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+3a\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+5a-2\\right){y}={x}^{3}+\\left(-2a^{5}+4a^{4}+7a^{3}-8a^{2}-5a+2\\right){x}^{2}+\\left(-a^{5}+5a^{3}+6a^{2}-2a-3\\right){x}-4a^{5}+4a^{4}+18a^{3}+a^{2}-8a-3"
"29.2-d2"	"29.2-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	29	1	[]	0	"1.2.A.1.1a"	[[1, 3, 1, -5, -1, 1], [2, -5, -4, 4, 2, -1], [2, 3, -3, -2, 1, 0], [5, 3, -2, -3, 1, 0], [5, 9, -1, -8, 0, 1]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+3a+1\\right){x}{y}+\\left(a^{4}-2a^{3}-3a^{2}+3a+2\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+4a^{3}-4a^{2}-5a+2\\right){x}^{2}+\\left(a^{4}-3a^{3}-2a^{2}+3a+5\\right){x}+a^{5}-8a^{3}-a^{2}+9a+5"
"43.1-a1"	"43.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	43	0	[]	0	"1.2.A.1.1a"	[[-3, 3, 9, -7, -4, 2], [2, -2, 2, -2, -2, 1], [1, 5, 4, -8, -3, 2], [6, -9, -12, 5, 3, -1], [5, -3, -15, 5, 5, -2]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+3a-3\\right){x}{y}+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a+1\\right){y}={x}^{3}+\\left(a^{5}-2a^{4}-2a^{3}+2a^{2}-2a+2\\right){x}^{2}+\\left(-a^{5}+3a^{4}+5a^{3}-12a^{2}-9a+6\\right){x}-2a^{5}+5a^{4}+5a^{3}-15a^{2}-3a+5"
"43.1-a2"	"43.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	43	0	[]	0	"1.2.A.1.1a"	[[-1, 5, 8, -7, -4, 2], [-2, 1, 8, -2, -3, 1], [2, 4, -3, -2, 1, 0], [-22, 15, 48, -23, -17, 7], [-32, 25, 66, -37, -24, 11]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-1\\right){x}{y}+\\left(a^{4}-2a^{3}-3a^{2}+4a+2\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}+a-2\\right){x}^{2}+\\left(7a^{5}-17a^{4}-23a^{3}+48a^{2}+15a-22\\right){x}+11a^{5}-24a^{4}-37a^{3}+66a^{2}+25a-32"
"43.1-b1"	"43.1-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	43	1	[]	0	"1.2.A.1.1a"	[[-3, 1, 11, -5, -5, 2], [5, 3, -14, 3, 6, -2], [1, 4, -3, -2, 1, 0], [-2, -4, 9, -1, -3, 1], [1, 0, -6, 2, 3, -1]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+a-3\\right){x}{y}+\\left(a^{4}-2a^{3}-3a^{2}+4a+1\\right){y}={x}^{3}+\\left(-2a^{5}+6a^{4}+3a^{3}-14a^{2}+3a+5\\right){x}^{2}+\\left(a^{5}-3a^{4}-a^{3}+9a^{2}-4a-2\\right){x}-a^{5}+3a^{4}+2a^{3}-6a^{2}+1"
"43.2-a1"	"43.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	43	0	[]	0	"1.2.A.1.1a"	[[0, 3, 1, -5, -1, 1], [-4, -3, 11, 0, -4, 1], [-3, 0, 12, -5, -5, 2], [-1, -9, 2, 16, 2, -3], [-34, 19, 71, -27, -24, 9]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+3a\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-3\\right){y}={x}^{3}+\\left(a^{5}-4a^{4}+11a^{2}-3a-4\\right){x}^{2}+\\left(-3a^{5}+2a^{4}+16a^{3}+2a^{2}-9a-1\\right){x}+9a^{5}-24a^{4}-27a^{3}+71a^{2}+19a-34"
"43.2-a2"	"43.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	43	0	[]	0	"1.2.A.1.1a"	[[-1, 2, 7, -6, -4, 2], [1, -2, -1, 1, 0, 0], [0, 1, 3, -3, -2, 1], [6, 22, 7, -46, -13, 11], [20, 61, -19, -131, -24, 28]]	"{y}^2+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a-1\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a\\right){y}={x}^{3}+\\left(a^{3}-a^{2}-2a+1\\right){x}^{2}+\\left(11a^{5}-13a^{4}-46a^{3}+7a^{2}+22a+6\\right){x}+28a^{5}-24a^{4}-131a^{3}-19a^{2}+61a+20"
"43.2-b1"	"43.2-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	43	1	[]	0	"1.2.A.1.1a"	[[-3, 4, 12, -10, -6, 3], [-3, 1, 8, -2, -3, 1], [-1, 0, 4, -3, -2, 1], [-9, -4, 19, 13, -2, -2], [4, -25, -13, 56, 16, -13]]	"{y}^2+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-3\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}-1\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}+a-3\\right){x}^{2}+\\left(-2a^{5}-2a^{4}+13a^{3}+19a^{2}-4a-9\\right){x}-13a^{5}+16a^{4}+56a^{3}-13a^{2}-25a+4"
"49.1-a1"	"49.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	49	1	[]	0	"1.2.A.1.1a"	[[1, 5, 4, -8, -3, 2], [-2, -2, 3, 2, -1, 0], [-3, 1, 11, -5, -5, 2], [-1, -5, -2, 13, 4, -3], [-1, -4, -1, 12, 4, -3]]	"{y}^2+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a+1\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+a-3\\right){y}={x}^{3}+\\left(-a^{4}+2a^{3}+3a^{2}-2a-2\\right){x}^{2}+\\left(-3a^{5}+4a^{4}+13a^{3}-2a^{2}-5a-1\\right){x}-3a^{5}+4a^{4}+12a^{3}-a^{2}-4a-1"
"49.1-a2"	"49.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	49	1	[]	0	"1.2.A.1.1a"	[[-2, 2, 11, -5, -5, 2], [-1, -2, 1, 4, 1, -1], [1, 4, 4, -8, -3, 2], [-3, -13, -5, 20, 7, -5], [-3, -8, 1, 6, 1, -1]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+2a-2\\right){x}{y}+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+4a+1\\right){y}={x}^{3}+\\left(-a^{5}+a^{4}+4a^{3}+a^{2}-2a-1\\right){x}^{2}+\\left(-5a^{5}+7a^{4}+20a^{3}-5a^{2}-13a-3\\right){x}-a^{5}+a^{4}+6a^{3}+a^{2}-8a-3"
"49.1-b1"	"49.1-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	49	1	[]	0	"1.2.A.1.1a"	[[-1, 2, 7, -6, -4, 2], [-3, 1, 11, -5, -5, 2], [2, 4, 0, -5, -1, 1], [1, -11, -3, 7, 1, -1], [-4, 0, 12, -5, -5, 2]]	"{y}^2+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a-1\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+4a+2\\right){y}={x}^{3}+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+a-3\\right){x}^{2}+\\left(-a^{5}+a^{4}+7a^{3}-3a^{2}-11a+1\\right){x}+2a^{5}-5a^{4}-5a^{3}+12a^{2}-4"
"49.1-b2"	"49.1-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	49	1	[]	0	"1.2.A.1.1a"	[[1, 5, 0, -5, -1, 1], [-1, 5, 4, -8, -3, 2], [0, 0, 4, -3, -2, 1], [-7, 5, 21, -8, -8, 3], [15, -6, -36, 14, 13, -5]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+5a+1\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}\\right){y}={x}^{3}+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a-1\\right){x}^{2}+\\left(3a^{5}-8a^{4}-8a^{3}+21a^{2}+5a-7\\right){x}-5a^{5}+13a^{4}+14a^{3}-36a^{2}-6a+15"
"71.1-a1"	"71.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	0	[2]	0	"1.2.A.1.1a"	[[-2, 1, 8, -2, -3, 1], [-3, 2, 9, -7, -4, 2], [-1, 2, 7, -6, -4, 2], [-14, 3, 31, -6, -10, 3], [-10, 7, 22, -13, -9, 4]]	"{y}^2+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}+a-2\\right){x}{y}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a-1\\right){y}={x}^{3}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+2a-3\\right){x}^{2}+\\left(3a^{5}-10a^{4}-6a^{3}+31a^{2}+3a-14\\right){x}+4a^{5}-9a^{4}-13a^{3}+22a^{2}+7a-10"
"71.1-a2"	"71.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	0	[2]	0	"1.2.A.1.1a"	[[-1, 4, 5, -4, -2, 1], [-2, -3, 4, 6, 0, -1], [0, 0, 0, 0, 0, 0], [-2, -7, 5, 19, 3, -4], [0, 0, 0, 0, 0, 0]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-1\\right){x}{y}={x}^{3}+\\left(-a^{5}+6a^{3}+4a^{2}-3a-2\\right){x}^{2}+\\left(-4a^{5}+3a^{4}+19a^{3}+5a^{2}-7a-2\\right){x}"
"71.1-a3"	"71.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	0	[2]	0	"1.2.A.1.1a"	[[-2, 3, 5, -4, -2, 1], [-2, -3, 6, -1, -3, 1], [-1, 2, 7, -6, -4, 2], [-14, -1, 51, -10, -30, 10], [6, 17, -39, -31, 55, -15]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-2\\right){x}{y}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a-1\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-a^{3}+6a^{2}-3a-2\\right){x}^{2}+\\left(10a^{5}-30a^{4}-10a^{3}+51a^{2}-a-14\\right){x}-15a^{5}+55a^{4}-31a^{3}-39a^{2}+17a+6"
"71.1-a4"	"71.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	0	[2]	0	"1.2.A.1.1a"	[[1, 1, 3, -3, -2, 1], [2, -1, -11, 5, 5, -2], [0, 1, 3, -3, -2, 1], [-94, -387, -259, 417, 157, -97], [-723, -2719, -1288, 2755, 877, -599]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a+1\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a\\right){y}={x}^{3}+\\left(-2a^{5}+5a^{4}+5a^{3}-11a^{2}-a+2\\right){x}^{2}+\\left(-97a^{5}+157a^{4}+417a^{3}-259a^{2}-387a-94\\right){x}-599a^{5}+877a^{4}+2755a^{3}-1288a^{2}-2719a-723"
"71.1-b1"	"71.1-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	0	[]	0	"1.2.A.1.1a"	[[-2, 4, 12, -10, -6, 3], [-3, -5, 4, 6, 0, -1], [-1, 0, 4, -3, -2, 1], [366, 208, -1840, 604, 798, -297], [4476, 3003, -22010, 6587, 9442, -3433]]	"{y}^2+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-2\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}-1\\right){y}={x}^{3}+\\left(-a^{5}+6a^{3}+4a^{2}-5a-3\\right){x}^{2}+\\left(-297a^{5}+798a^{4}+604a^{3}-1840a^{2}+208a+366\\right){x}-3433a^{5}+9442a^{4}+6587a^{3}-22010a^{2}+3003a+4476"
"71.1-b2"	"71.1-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	0	[3]	0	"1.2.A.1.1a"	[[-1, 4, 8, -7, -4, 2], [-4, -3, 7, 3, -2, 0], [-3, 5, 12, -10, -6, 3], [0, -3, -9, 9, 6, -3], [-1, 1, -4, 3, 2, -1]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+4a-1\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+5a-3\\right){y}={x}^{3}+\\left(-2a^{4}+3a^{3}+7a^{2}-3a-4\\right){x}^{2}+\\left(-3a^{5}+6a^{4}+9a^{3}-9a^{2}-3a\\right){x}-a^{5}+2a^{4}+3a^{3}-4a^{2}+a-1"
"71.2-a1"	"71.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	0	[2]	0	"1.2.A.1.1a"	[[0, 1, 0, 0, 0, 0], [2, -4, -4, 4, 2, -1], [-4, 1, 15, -8, -7, 3], [6, 0, -25, 8, 14, -5], [-8, 18, -1, -11, 1, 1]]	"{y}^2+a{x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-4\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+4a^{3}-4a^{2}-4a+2\\right){x}^{2}+\\left(-5a^{5}+14a^{4}+8a^{3}-25a^{2}+6\\right){x}+a^{5}+a^{4}-11a^{3}-a^{2}+18a-8"
"71.2-a2"	"71.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	0	[2]	0	"1.2.A.1.1a"	[[-2, 4, 5, -4, -2, 1], [-4, -2, 10, 0, -4, 1], [-3, 5, 12, -10, -6, 3], [-6, 18, 17, -45, -15, 11], [-17, -27, 31, 66, 9, -14]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-2\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+5a-3\\right){y}={x}^{3}+\\left(a^{5}-4a^{4}+10a^{2}-2a-4\\right){x}^{2}+\\left(11a^{5}-15a^{4}-45a^{3}+17a^{2}+18a-6\\right){x}-14a^{5}+9a^{4}+66a^{3}+31a^{2}-27a-17"
"71.2-a3"	"71.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	0	[2]	0	"1.2.A.1.1a"	[[-2, 4, 5, -4, -2, 1], [-4, -2, 10, 0, -4, 1], [-3, 5, 12, -10, -6, 3], [-96, 53, 232, -120, -110, 46], [-275, 181, 570, -283, -93, 44]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-2\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+5a-3\\right){y}={x}^{3}+\\left(a^{5}-4a^{4}+10a^{2}-2a-4\\right){x}^{2}+\\left(46a^{5}-110a^{4}-120a^{3}+232a^{2}+53a-96\\right){x}+44a^{5}-93a^{4}-283a^{3}+570a^{2}+181a-275"
"71.2-a4"	"71.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	0	[2]	0	"1.2.A.1.1a"	[[0, 1, 0, 0, 0, 0], [2, -4, -4, 4, 2, -1], [-4, 1, 15, -8, -7, 3], [-84, 55, 120, -52, -51, 20], [-526, 269, 1463, -644, -630, 251]]	"{y}^2+a{x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-4\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+4a^{3}-4a^{2}-4a+2\\right){x}^{2}+\\left(20a^{5}-51a^{4}-52a^{3}+120a^{2}+55a-84\\right){x}+251a^{5}-630a^{4}-644a^{3}+1463a^{2}+269a-526"
"71.2-b1"	"71.2-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	1	[2]	0	"1.2.A.1.1a"	[[-3, 3, 9, -7, -4, 2], [-4, 0, 11, -5, -5, 2], [-1, 4, 5, -4, -2, 1], [-32, -2, 72, -16, -30, 10], [-26, 18, 25, -24, 3, 1]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+3a-3\\right){x}{y}+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-1\\right){y}={x}^{3}+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}-4\\right){x}^{2}+\\left(10a^{5}-30a^{4}-16a^{3}+72a^{2}-2a-32\\right){x}+a^{5}+3a^{4}-24a^{3}+25a^{2}+18a-26"
"71.2-b2"	"71.2-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	1	[2]	0	"1.2.A.1.1a"	[[-2, 4, 5, -4, -2, 1], [1, -5, -8, 7, 4, -2], [-1, 1, 4, -3, -2, 1], [-2, 7, 9, -12, -5, 3], [-20, 9, 45, -17, -16, 6]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-2\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}+a-1\\right){y}={x}^{3}+\\left(-2a^{5}+4a^{4}+7a^{3}-8a^{2}-5a+1\\right){x}^{2}+\\left(3a^{5}-5a^{4}-12a^{3}+9a^{2}+7a-2\\right){x}+6a^{5}-16a^{4}-17a^{3}+45a^{2}+9a-20"
"71.2-b3"	"71.2-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	1	[2]	0	"1.2.A.1.1a"	[[1, 5, 0, -5, -1, 1], [3, -5, -12, 10, 6, -3], [-1, 0, 4, -3, -2, 1], [2, -5, -4, 8, 3, -2], [2, 0, -4, 3, 2, -1]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+5a+1\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}-1\\right){y}={x}^{3}+\\left(-3a^{5}+6a^{4}+10a^{3}-12a^{2}-5a+3\\right){x}^{2}+\\left(-2a^{5}+3a^{4}+8a^{3}-4a^{2}-5a+2\\right){x}-a^{5}+2a^{4}+3a^{3}-4a^{2}+2"
"71.2-b4"	"71.2-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	1	[2]	0	"1.2.A.1.1a"	[[1, 5, 0, -5, -1, 1], [3, -5, -12, 10, 6, -3], [-1, 0, 4, -3, -2, 1], [-8, -25, -9, 13, 3, -2], [16, 58, 24, -50, -17, 11]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+5a+1\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}-1\\right){y}={x}^{3}+\\left(-3a^{5}+6a^{4}+10a^{3}-12a^{2}-5a+3\\right){x}^{2}+\\left(-2a^{5}+3a^{4}+13a^{3}-9a^{2}-25a-8\\right){x}+11a^{5}-17a^{4}-50a^{3}+24a^{2}+58a+16"
"71.2-c1"	"71.2-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	1	[2]	0	"1.2.A.1.1a"	[[-2, 4, 5, -4, -2, 1], [0, -3, -4, 4, 2, -1], [-2, 4, 12, -10, -6, 3], [0, 2, 1, -4, -1, 1], [-2, -12, -16, 11, 7, -3]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-2\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-2\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+4a^{3}-4a^{2}-3a\\right){x}^{2}+\\left(a^{5}-a^{4}-4a^{3}+a^{2}+2a\\right){x}-3a^{5}+7a^{4}+11a^{3}-16a^{2}-12a-2"
"71.2-c2"	"71.2-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	1	[2]	0	"1.2.A.1.1a"	[[-2, 4, 5, -4, -2, 1], [0, -3, -4, 4, 2, -1], [-2, 4, 12, -10, -6, 3], [-10, -68, -99, 86, 49, -24], [-30, -196, -231, 270, 129, -71]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-2\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-2\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+4a^{3}-4a^{2}-3a\\right){x}^{2}+\\left(-24a^{5}+49a^{4}+86a^{3}-99a^{2}-68a-10\\right){x}-71a^{5}+129a^{4}+270a^{3}-231a^{2}-196a-30"
"71.2-d1"	"71.2-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	0	[3]	0	"1.2.A.1.1a"	[[0, 4, 4, -8, -3, 2], [5, 4, -15, 3, 6, -2], [2, 3, -3, -2, 1, 0], [-10, -19, 38, 28, -7, -3], [-4, -22, -8, 67, 19, -16]]	"{y}^2+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+4a\\right){x}{y}+\\left(a^{4}-2a^{3}-3a^{2}+3a+2\\right){y}={x}^{3}+\\left(-2a^{5}+6a^{4}+3a^{3}-15a^{2}+4a+5\\right){x}^{2}+\\left(-3a^{5}-7a^{4}+28a^{3}+38a^{2}-19a-10\\right){x}-16a^{5}+19a^{4}+67a^{3}-8a^{2}-22a-4"
"71.2-d2"	"71.2-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	0	[]	0	"1.2.A.1.1a"	[[0, 0, 4, -3, -2, 1], [1, -2, -1, 5, 1, -1], [0, 2, 3, -3, -2, 1], [-328, 203, 773, -372, -300, 124], [-2290, 1425, 5381, -2669, -2082, 871]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+2a\\right){y}={x}^{3}+\\left(-a^{5}+a^{4}+5a^{3}-a^{2}-2a+1\\right){x}^{2}+\\left(124a^{5}-300a^{4}-372a^{3}+773a^{2}+203a-328\\right){x}+871a^{5}-2082a^{4}-2669a^{3}+5381a^{2}+1425a-2290"
"71.3-a1"	"71.3-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	0	[2]	0	"1.2.A.1.1a"	[[2, 4, -3, -2, 1, 0], [-1, 3, 1, -1, 0, 0], [1, 5, 4, -8, -3, 2], [-3, -9, 9, 5, -3, 0], [-1, -2, -1, 0, 0, 0]]	"{y}^2+\\left(a^{4}-2a^{3}-3a^{2}+4a+2\\right){x}{y}+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a+1\\right){y}={x}^{3}+\\left(-a^{3}+a^{2}+3a-1\\right){x}^{2}+\\left(-3a^{4}+5a^{3}+9a^{2}-9a-3\\right){x}-a^{2}-2a-1"
"71.3-a2"	"71.3-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	0	[2]	0	"1.2.A.1.1a"	[[1, 1, 0, 0, 0, 0], [-4, 5, 12, -10, -6, 3], [0, 4, 1, -5, -1, 1], [9, -3, -34, 19, 16, -7], [8, 9, -44, 9, 18, -6]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+4a\\right){y}={x}^{3}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+5a-4\\right){x}^{2}+\\left(-7a^{5}+16a^{4}+19a^{3}-34a^{2}-3a+9\\right){x}-6a^{5}+18a^{4}+9a^{3}-44a^{2}+9a+8"
"71.3-a3"	"71.3-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	0	[2]	0	"1.2.A.1.1a"	[[1, 0, 0, 0, 0, 0], [1, -1, 2, -2, -2, 1], [2, 5, 0, -5, -1, 1], [-73, -271, -114, 291, 88, -63], [408, 1360, 335, -1237, -297, 242]]	"{y}^2+{x}{y}+\\left(a^{5}-a^{4}-5a^{3}+5a+2\\right){y}={x}^{3}+\\left(a^{5}-2a^{4}-2a^{3}+2a^{2}-a+1\\right){x}^{2}+\\left(-63a^{5}+88a^{4}+291a^{3}-114a^{2}-271a-73\\right){x}+242a^{5}-297a^{4}-1237a^{3}+335a^{2}+1360a+408"
"71.3-a4"	"71.3-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	0	[2]	0	"1.2.A.1.1a"	[[0, 1, 0, 0, 0, 0], [6, 3, -12, 0, 4, -1], [-2, 3, 9, -7, -4, 2], [-22, 9, 68, -17, -42, 14], [-72, -2, 232, -13, -169, 52]]	"{y}^2+a{x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+3a-2\\right){y}={x}^{3}+\\left(-a^{5}+4a^{4}-12a^{2}+3a+6\\right){x}^{2}+\\left(14a^{5}-42a^{4}-17a^{3}+68a^{2}+9a-22\\right){x}+52a^{5}-169a^{4}-13a^{3}+232a^{2}-2a-72"
"71.3-b1"	"71.3-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	0	[]	0	"1.2.A.1.1a"	[[0, 4, 4, -8, -3, 2], [1, -1, -3, 3, 2, -1], [2, 4, -3, -2, 1, 0], [57, 167, -111, -406, -63, 85], [1139, 3153, -2169, -7378, -1043, 1510]]	"{y}^2+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+4a\\right){x}{y}+\\left(a^{4}-2a^{3}-3a^{2}+4a+2\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+3a^{3}-3a^{2}-a+1\\right){x}^{2}+\\left(85a^{5}-63a^{4}-406a^{3}-111a^{2}+167a+57\\right){x}+1510a^{5}-1043a^{4}-7378a^{3}-2169a^{2}+3153a+1139"
"71.3-b2"	"71.3-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	0	[3]	0	"1.2.A.1.1a"	[[-2, 4, 8, -7, -4, 2], [0, -4, -1, 1, 0, 0], [-1, 5, 8, -7, -4, 2], [-1, 1, 4, -3, -2, 1], [-4, -4, 4, 2, -1, 0]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+4a-2\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-1\\right){y}={x}^{3}+\\left(a^{3}-a^{2}-4a\\right){x}^{2}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}+a-1\\right){x}-a^{4}+2a^{3}+4a^{2}-4a-4"
"71.4-a1"	"71.4-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	0	[2]	0	"1.2.A.1.1a"	[[-2, 4, 5, -4, -2, 1], [-4, -2, 10, 0, -4, 1], [-2, 1, 11, -5, -5, 2], [2, 35, 30, -43, -16, 10], [-16, -45, -17, 39, 11, -8]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-2\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+a-2\\right){y}={x}^{3}+\\left(a^{5}-4a^{4}+10a^{2}-2a-4\\right){x}^{2}+\\left(10a^{5}-16a^{4}-43a^{3}+30a^{2}+35a+2\\right){x}-8a^{5}+11a^{4}+39a^{3}-17a^{2}-45a-16"
"71.4-a2"	"71.4-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	0	[2]	0	"1.2.A.1.1a"	[[0, 1, 0, 0, 0, 0], [2, -4, -4, 4, 2, -1], [-2, 2, 11, -5, -5, 2], [22, 11, -134, 46, 59, -22], [-72, -24, 357, -124, -154, 58]]	"{y}^2+a{x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+2a-2\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+4a^{3}-4a^{2}-4a+2\\right){x}^{2}+\\left(-22a^{5}+59a^{4}+46a^{3}-134a^{2}+11a+22\\right){x}+58a^{5}-154a^{4}-124a^{3}+357a^{2}-24a-72"
"71.4-a3"	"71.4-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	0	[2]	0	"1.2.A.1.1a"	[[0, 1, 0, 0, 0, 0], [2, -4, -4, 4, 2, -1], [-2, 2, 11, -5, -5, 2], [-53, -144, -109, 171, 69, -42], [161, 753, 730, -913, -414, 229]]	"{y}^2+a{x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+2a-2\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+4a^{3}-4a^{2}-4a+2\\right){x}^{2}+\\left(-42a^{5}+69a^{4}+171a^{3}-109a^{2}-144a-53\\right){x}+229a^{5}-414a^{4}-913a^{3}+730a^{2}+753a+161"
"71.4-a4"	"71.4-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	0	[2]	0	"1.2.A.1.1a"	[[-2, 4, 5, -4, -2, 1], [-4, -2, 10, 0, -4, 1], [-2, 1, 11, -5, -5, 2], [-48, -140, -35, 107, 24, -20], [-103, -342, -88, 368, 98, -79]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-2\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+a-2\\right){y}={x}^{3}+\\left(a^{5}-4a^{4}+10a^{2}-2a-4\\right){x}^{2}+\\left(-20a^{5}+24a^{4}+107a^{3}-35a^{2}-140a-48\\right){x}-79a^{5}+98a^{4}+368a^{3}-88a^{2}-342a-103"
"71.4-b1"	"71.4-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	1	[2]	0	"1.2.A.1.1a"	[[-2, 5, 12, -10, -6, 3], [3, 2, -9, 2, 3, -1], [2, 5, 0, -5, -1, 1], [-18, -19, 33, 39, 0, -7], [188, 551, -356, -1291, -188, 265]]	"{y}^2+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+5a-2\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+5a+2\\right){y}={x}^{3}+\\left(-a^{5}+3a^{4}+2a^{3}-9a^{2}+2a+3\\right){x}^{2}+\\left(-7a^{5}+39a^{3}+33a^{2}-19a-18\\right){x}+265a^{5}-188a^{4}-1291a^{3}-356a^{2}+551a+188"
"71.4-b2"	"71.4-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	1	[2]	0	"1.2.A.1.1a"	[[0, 1, 0, 0, 0, 0], [0, 2, 3, -3, -2, 1], [0, 4, 1, -5, -1, 1], [3, 4, -17, 5, 8, -3], [-3, -1, 17, -7, -8, 3]]	"{y}^2+a{x}{y}+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+4a\\right){y}={x}^{3}+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+2a\\right){x}^{2}+\\left(-3a^{5}+8a^{4}+5a^{3}-17a^{2}+4a+3\\right){x}+3a^{5}-8a^{4}-7a^{3}+17a^{2}-a-3"
"71.4-b3"	"71.4-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	1	[2]	0	"1.2.A.1.1a"	[[-2, 2, 11, -5, -5, 2], [-3, 2, 15, -8, -7, 3], [-4, 0, 12, -5, -5, 2], [-4, 2, 23, -10, -10, 4], [-3, 0, 12, -5, -5, 2]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+2a-2\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-4\\right){y}={x}^{3}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+2a-3\\right){x}^{2}+\\left(4a^{5}-10a^{4}-10a^{3}+23a^{2}+2a-4\\right){x}+2a^{5}-5a^{4}-5a^{3}+12a^{2}-3"
"71.4-b4"	"71.4-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	1	[2]	0	"1.2.A.1.1a"	[[-2, 2, 11, -5, -5, 2], [-3, 2, 15, -8, -7, 3], [-4, 0, 12, -5, -5, 2], [1, 7, -37, 15, 15, -6], [-16, -16, 30, -2, -5, 1]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+2a-2\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-4\\right){y}={x}^{3}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+2a-3\\right){x}^{2}+\\left(-6a^{5}+15a^{4}+15a^{3}-37a^{2}+7a+1\\right){x}+a^{5}-5a^{4}-2a^{3}+30a^{2}-16a-16"
"71.4-c1"	"71.4-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	1	[2]	0	"1.2.A.1.1a"	[[-1, 2, 7, -6, -4, 2], [1, 4, -7, 1, 3, -1], [-2, 5, 8, -7, -4, 2], [-6, -2, 19, -2, -7, 2], [-1, -2, -1, 5, 1, -1]]	"{y}^2+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a-1\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-2\\right){y}={x}^{3}+\\left(-a^{5}+3a^{4}+a^{3}-7a^{2}+4a+1\\right){x}^{2}+\\left(2a^{5}-7a^{4}-2a^{3}+19a^{2}-2a-6\\right){x}-a^{5}+a^{4}+5a^{3}-a^{2}-2a-1"
"71.4-c2"	"71.4-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	1	[2]	0	"1.2.A.1.1a"	[[-1, 2, 7, -6, -4, 2], [1, 4, -7, 1, 3, -1], [-2, 5, 8, -7, -4, 2], [9, -12, -16, 18, 3, -3], [-13, 3, 36, -12, -20, 8]]	"{y}^2+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a-1\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-2\\right){y}={x}^{3}+\\left(-a^{5}+3a^{4}+a^{3}-7a^{2}+4a+1\\right){x}^{2}+\\left(-3a^{5}+3a^{4}+18a^{3}-16a^{2}-12a+9\\right){x}+8a^{5}-20a^{4}-12a^{3}+36a^{2}+3a-13"
"71.4-d1"	"71.4-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	0	[3]	0	"1.2.A.1.1a"	[[-2, 4, 12, -10, -6, 3], [0, -1, 6, -1, -3, 1], [-3, 0, 12, -5, -5, 2], [-5, -7, 20, 7, -5, 0], [-6, -10, 19, 12, -4, -1]]	"{y}^2+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-2\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-3\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-a^{3}+6a^{2}-a\\right){x}^{2}+\\left(-5a^{4}+7a^{3}+20a^{2}-7a-5\\right){x}-a^{5}-4a^{4}+12a^{3}+19a^{2}-10a-6"
"71.4-d2"	"71.4-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	71	0	[]	0	"1.2.A.1.1a"	[[-2, 4, 12, -10, -6, 3], [0, -1, 6, -1, -3, 1], [-3, 0, 12, -5, -5, 2], [-40, -142, -50, 122, 35, -25], [-195, -700, -299, 588, 177, -120]]	"{y}^2+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-2\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-3\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-a^{3}+6a^{2}-a\\right){x}^{2}+\\left(-25a^{5}+35a^{4}+122a^{3}-50a^{2}-142a-40\\right){x}-120a^{5}+177a^{4}+588a^{3}-299a^{2}-700a-195"
"83.1-a1"	"83.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	83	0	[]	0	"1.2.A.1.1a"	[[1, 3, -3, -2, 1, 0], [3, -3, -6, 4, 2, -1], [-2, 4, 12, -10, -6, 3], [-4, -19, -7, 16, 4, -3], [-5, -21, -22, 23, 12, -6]]	"{y}^2+\\left(a^{4}-2a^{3}-3a^{2}+3a+1\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-2\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+4a^{3}-6a^{2}-3a+3\\right){x}^{2}+\\left(-3a^{5}+4a^{4}+16a^{3}-7a^{2}-19a-4\\right){x}-6a^{5}+12a^{4}+23a^{3}-22a^{2}-21a-5"
"83.1-b1"	"83.1-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	83	1	[]	0	"1.2.A.1.1a"	[[1, 5, 4, -8, -3, 2], [2, 3, -6, 1, 3, -1], [2, 3, -3, -2, 1, 0], [-51, 30, 127, -52, -46, 18], [-80, 48, 190, -83, -70, 28]]	"{y}^2+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a+1\\right){x}{y}+\\left(a^{4}-2a^{3}-3a^{2}+3a+2\\right){y}={x}^{3}+\\left(-a^{5}+3a^{4}+a^{3}-6a^{2}+3a+2\\right){x}^{2}+\\left(18a^{5}-46a^{4}-52a^{3}+127a^{2}+30a-51\\right){x}+28a^{5}-70a^{4}-83a^{3}+190a^{2}+48a-80"
"83.1-c1"	"83.1-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	83	1	[]	0	"1.2.A.1.1a"	[[-3, 1, 15, -8, -7, 3], [3, 3, -11, 0, 4, -1], [-1, 4, 8, -7, -4, 2], [-1, -1, 0, 0, 0, 0], [1, -1, -11, 5, 5, -2]]	"{y}^2+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-3\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+4a-1\\right){y}={x}^{3}+\\left(-a^{5}+4a^{4}-11a^{2}+3a+3\\right){x}^{2}+\\left(-a-1\\right){x}-2a^{5}+5a^{4}+5a^{3}-11a^{2}-a+1"
"83.1-c2"	"83.1-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	83	1	[]	0	"1.2.A.1.1a"	[[-3, 2, 11, -5, -5, 2], [2, 3, -6, 1, 3, -1], [-1, 3, 5, -4, -2, 1], [-6, 5, 15, -9, -4, 2], [2, -1, -6, 2, 3, -1]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+2a-3\\right){x}{y}+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-1\\right){y}={x}^{3}+\\left(-a^{5}+3a^{4}+a^{3}-6a^{2}+3a+2\\right){x}^{2}+\\left(2a^{5}-4a^{4}-9a^{3}+15a^{2}+5a-6\\right){x}-a^{5}+3a^{4}+2a^{3}-6a^{2}-a+2"
"83.2-a1"	"83.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	83	0	[]	0	"1.2.A.1.1a"	[[-2, 5, 12, -10, -6, 3], [-1, 3, 1, -5, -1, 1], [-3, 1, 11, -5, -5, 2], [4, 3, -18, 5, 8, -3], [12, -3, -36, 14, 15, -6]]	"{y}^2+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+5a-2\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+a-3\\right){y}={x}^{3}+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+3a-1\\right){x}^{2}+\\left(-3a^{5}+8a^{4}+5a^{3}-18a^{2}+3a+4\\right){x}-6a^{5}+15a^{4}+14a^{3}-36a^{2}-3a+12"
"83.2-a2"	"83.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	83	0	[]	0	"1.2.A.1.1a"	[[-2, 3, 5, -4, -2, 1], [-4, -3, 4, 6, 0, -1], [-3, 3, 9, -7, -4, 2], [-19, -66, -40, 62, 23, -14], [-93, -290, 16, 445, 88, -92]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-2\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+3a-3\\right){y}={x}^{3}+\\left(-a^{5}+6a^{3}+4a^{2}-3a-4\\right){x}^{2}+\\left(-14a^{5}+23a^{4}+62a^{3}-40a^{2}-66a-19\\right){x}-92a^{5}+88a^{4}+445a^{3}+16a^{2}-290a-93"
"83.2-b1"	"83.2-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	83	1	[]	0	"1.2.A.1.1a"	[[1, 1, 3, -3, -2, 1], [-2, -3, 6, -1, -3, 1], [-4, 1, 12, -5, -5, 2], [-4, -6, 22, -4, -9, 3], [-8, -2, 37, -13, -16, 6]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a+1\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}+a-4\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-a^{3}+6a^{2}-3a-2\\right){x}^{2}+\\left(3a^{5}-9a^{4}-4a^{3}+22a^{2}-6a-4\\right){x}+6a^{5}-16a^{4}-13a^{3}+37a^{2}-2a-8"
"83.2-c1"	"83.2-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	83	1	[]	0	"1.2.A.1.1a"	[[-4, 1, 15, -8, -7, 3], [-1, 3, 1, -1, 0, 0], [0, 1, 3, -3, -2, 1], [-19, -70, -25, 72, 20, -15], [4, 3, -18, 10, 9, -4]]	"{y}^2+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-4\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a\\right){y}={x}^{3}+\\left(-a^{3}+a^{2}+3a-1\\right){x}^{2}+\\left(-15a^{5}+20a^{4}+72a^{3}-25a^{2}-70a-19\\right){x}-4a^{5}+9a^{4}+10a^{3}-18a^{2}+3a+4"
"83.2-c2"	"83.2-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	83	1	[]	0	"1.2.A.1.1a"	[[-1, 4, 5, -4, -2, 1], [5, 1, -14, 3, 6, -2], [-1, 4, 8, -7, -4, 2], [-15, 7, 36, -17, -12, 5], [13, -8, -34, 15, 15, -6]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-1\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+4a-1\\right){y}={x}^{3}+\\left(-2a^{5}+6a^{4}+3a^{3}-14a^{2}+a+5\\right){x}^{2}+\\left(5a^{5}-12a^{4}-17a^{3}+36a^{2}+7a-15\\right){x}-6a^{5}+15a^{4}+15a^{3}-34a^{2}-8a+13"
"83.3-a1"	"83.3-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	83	0	[]	0	"1.2.A.1.1a"	[[-1, 3, 5, -4, -2, 1], [3, -3, -8, 7, 4, -2], [1, 5, 4, -8, -3, 2], [11, 12, -36, -24, 6, 3], [43, 83, -97, -193, -15, 37]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-1\\right){x}{y}+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a+1\\right){y}={x}^{3}+\\left(-2a^{5}+4a^{4}+7a^{3}-8a^{2}-3a+3\\right){x}^{2}+\\left(3a^{5}+6a^{4}-24a^{3}-36a^{2}+12a+11\\right){x}+37a^{5}-15a^{4}-193a^{3}-97a^{2}+83a+43"
"83.3-b1"	"83.3-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	83	1	[]	0	"1.2.A.1.1a"	[[0, 1, 0, 0, 0, 0], [-6, -3, 15, -3, -6, 2], [-4, 2, 15, -8, -7, 3], [1, 2, 10, -5, -5, 2], [-2, 0, 0, 0, 0, 0]]	"{y}^2+a{x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+2a-4\\right){y}={x}^{3}+\\left(2a^{5}-6a^{4}-3a^{3}+15a^{2}-3a-6\\right){x}^{2}+\\left(2a^{5}-5a^{4}-5a^{3}+10a^{2}+2a+1\\right){x}-2"
"83.3-c1"	"83.3-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	83	1	[]	0	"1.2.A.1.1a"	[[-1, 1, 7, -6, -4, 2], [3, 3, -11, 0, 4, -1], [-2, 4, 8, -7, -4, 2], [-4, 4, 9, -7, -4, 2], [2, 0, -5, -1, 1, 0]]	"{y}^2+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+a-1\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+4a-2\\right){y}={x}^{3}+\\left(-a^{5}+4a^{4}-11a^{2}+3a+3\\right){x}^{2}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+4a-4\\right){x}+a^{4}-a^{3}-5a^{2}+2"
"83.3-c2"	"83.3-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	83	1	[]	0	"1.2.A.1.1a"	[[-3, 0, 12, -5, -5, 2], [-4, -2, 18, -6, -8, 3], [-4, 0, 12, -5, -5, 2], [-25, -36, 75, -1, -29, 8], [-65, -160, 63, 105, -10, -11]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-3\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-4\\right){y}={x}^{3}+\\left(3a^{5}-8a^{4}-6a^{3}+18a^{2}-2a-4\\right){x}^{2}+\\left(8a^{5}-29a^{4}-a^{3}+75a^{2}-36a-25\\right){x}-11a^{5}-10a^{4}+105a^{3}+63a^{2}-160a-65"
"83.4-a1"	"83.4-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	83	0	[]	0	"1.2.A.1.1a"	[[-2, 1, 8, -2, -3, 1], [2, -4, -12, 10, 6, -3], [0, 0, 4, -3, -2, 1], [5, 16, 4, -23, -6, 5], [28, 78, -42, -143, -18, 28]]	"{y}^2+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}+a-2\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}\\right){y}={x}^{3}+\\left(-3a^{5}+6a^{4}+10a^{3}-12a^{2}-4a+2\\right){x}^{2}+\\left(5a^{5}-6a^{4}-23a^{3}+4a^{2}+16a+5\\right){x}+28a^{5}-18a^{4}-143a^{3}-42a^{2}+78a+28"
"83.4-a2"	"83.4-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	83	0	[]	0	"1.2.A.1.1a"	[[2, 3, -3, -2, 1, 0], [4, 5, -12, 0, 4, -1], [-2, 1, 11, -5, -5, 2], [-30, 17, 82, -37, -35, 14], [38, -36, -66, 47, 20, -11]]	"{y}^2+\\left(a^{4}-2a^{3}-3a^{2}+3a+2\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+a-2\\right){y}={x}^{3}+\\left(-a^{5}+4a^{4}-12a^{2}+5a+4\\right){x}^{2}+\\left(14a^{5}-35a^{4}-37a^{3}+82a^{2}+17a-30\\right){x}-11a^{5}+20a^{4}+47a^{3}-66a^{2}-36a+38"
"83.4-b1"	"83.4-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	83	1	[]	0	"1.2.A.1.1a"	[[0, 1, 0, 0, 0, 0], [4, 5, -8, -3, 2, 0], [2, 4, 0, -5, -1, 1], [-7, 5, 22, -8, -8, 3], [1, 0, -4, -1, 1, 0]]	"{y}^2+a{x}{y}+\\left(a^{5}-a^{4}-5a^{3}+4a+2\\right){y}={x}^{3}+\\left(2a^{4}-3a^{3}-8a^{2}+5a+4\\right){x}^{2}+\\left(3a^{5}-8a^{4}-8a^{3}+22a^{2}+5a-7\\right){x}+a^{4}-a^{3}-4a^{2}+1"
"83.4-c1"	"83.4-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	83	1	[]	0	"1.2.A.1.1a"	[[-3, 3, 9, -7, -4, 2], [0, -4, 0, 5, 1, -1], [0, 0, 0, 0, 0, 0], [-1, -8, 5, 16, -1, -2], [-2, -6, 5, 13, 0, -2]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+3a-3\\right){x}{y}={x}^{3}+\\left(-a^{5}+a^{4}+5a^{3}-4a\\right){x}^{2}+\\left(-2a^{5}-a^{4}+16a^{3}+5a^{2}-8a-1\\right){x}-2a^{5}+13a^{3}+5a^{2}-6a-2"
"83.4-c2"	"83.4-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	83	1	[]	0	"1.2.A.1.1a"	[[1, 4, 0, -5, -1, 1], [-1, 2, -2, -2, 1, 0], [-3, 4, 12, -10, -6, 3], [4, 11, 1, -15, -3, 3], [-2, 0, 6, 9, 1, -2]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+4a+1\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-3\\right){y}={x}^{3}+\\left(a^{4}-2a^{3}-2a^{2}+2a-1\\right){x}^{2}+\\left(3a^{5}-3a^{4}-15a^{3}+a^{2}+11a+4\\right){x}-2a^{5}+a^{4}+9a^{3}+6a^{2}-2"
"97.1-a1"	"97.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	0	[2]	0	"1.2.A.1.1a"	[[-3, 3, 9, -7, -4, 2], [-2, -4, 0, 5, 1, -1], [-2, 0, 8, -2, -3, 1], [-14, 11, 35, -15, -13, 5], [21, 9, -49, -25, 8, 3]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+3a-3\\right){x}{y}+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}-2\\right){y}={x}^{3}+\\left(-a^{5}+a^{4}+5a^{3}-4a-2\\right){x}^{2}+\\left(5a^{5}-13a^{4}-15a^{3}+35a^{2}+11a-14\\right){x}+3a^{5}+8a^{4}-25a^{3}-49a^{2}+9a+21"
"97.1-a2"	"97.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	0	[2]	0	"1.2.A.1.1a"	[[1, 5, 4, -8, -3, 2], [-2, 3, -2, 2, 2, -1], [-2, 4, 9, -7, -4, 2], [-7, -26, 19, 48, 4, -9], [-69, -190, 125, 448, 65, -92]]	"{y}^2+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a+1\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+4a-2\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+2a^{3}-2a^{2}+3a-2\\right){x}^{2}+\\left(-9a^{5}+4a^{4}+48a^{3}+19a^{2}-26a-7\\right){x}-92a^{5}+65a^{4}+448a^{3}+125a^{2}-190a-69"
"97.1-a3"	"97.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	0	[2]	0	"1.2.A.1.1a"	[[-3, 1, 8, -2, -3, 1], [-2, -3, 4, 6, 0, -1], [-1, 3, 5, -4, -2, 1], [-508, -1675, -539, 1621, 439, -333], [6432, 22182, 7212, -21075, -5680, 4300]]	"{y}^2+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}+a-3\\right){x}{y}+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-1\\right){y}={x}^{3}+\\left(-a^{5}+6a^{3}+4a^{2}-3a-2\\right){x}^{2}+\\left(-333a^{5}+439a^{4}+1621a^{3}-539a^{2}-1675a-508\\right){x}+4300a^{5}-5680a^{4}-21075a^{3}+7212a^{2}+22182a+6432"
"97.1-a4"	"97.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	0	[2]	0	"1.2.A.1.1a"	[[1, 2, 3, -3, -2, 1], [1, 4, 4, -8, -3, 2], [-3, 1, 11, -5, -5, 2], [187, -21, -449, 37, 135, -33], [463, -941, -1250, 2086, 814, -527]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+2a+1\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+a-3\\right){y}={x}^{3}+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+4a+1\\right){x}^{2}+\\left(-33a^{5}+135a^{4}+37a^{3}-449a^{2}-21a+187\\right){x}-527a^{5}+814a^{4}+2086a^{3}-1250a^{2}-941a+463"
"97.2-a1"	"97.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	1	[2]	0	"1.2.A.1.1a"	[[-2, 3, 9, -7, -4, 2], [0, -1, 4, -3, -2, 1], [0, 0, 4, -3, -2, 1], [-35, 18, 89, -41, -37, 15], [-84, 52, 199, -100, -76, 32]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+3a-2\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}\\right){y}={x}^{3}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}-a\\right){x}^{2}+\\left(15a^{5}-37a^{4}-41a^{3}+89a^{2}+18a-35\\right){x}+32a^{5}-76a^{4}-100a^{3}+199a^{2}+52a-84"
"97.2-a2"	"97.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	1	[2]	0	"1.2.A.1.1a"	[[1, 3, -3, -2, 1, 0], [-4, -4, 11, 0, -4, 1], [-2, 4, 8, -7, -4, 2], [-7, 1, 24, -10, -10, 4], [0, -4, 6, -1, -3, 1]]	"{y}^2+\\left(a^{4}-2a^{3}-3a^{2}+3a+1\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+4a-2\\right){y}={x}^{3}+\\left(a^{5}-4a^{4}+11a^{2}-4a-4\\right){x}^{2}+\\left(4a^{5}-10a^{4}-10a^{3}+24a^{2}+a-7\\right){x}+a^{5}-3a^{4}-a^{3}+6a^{2}-4a"
"97.2-a3"	"97.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	1	[2]	0	"1.2.A.1.1a"	[[0, 1, 3, -3, -2, 1], [4, 0, -15, 8, 7, -3], [-3, 0, 8, -2, -3, 1], [2, -1, -11, 16, -4, 0], [-16, -3, 76, -56, 0, 4]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a\\right){x}{y}+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}-3\\right){y}={x}^{3}+\\left(-3a^{5}+7a^{4}+8a^{3}-15a^{2}+4\\right){x}^{2}+\\left(-4a^{4}+16a^{3}-11a^{2}-a+2\\right){x}+4a^{5}-56a^{3}+76a^{2}-3a-16"
"97.2-a4"	"97.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	1	[2]	0	"1.2.A.1.1a"	[[-2, 4, 5, -4, -2, 1], [1, 0, -3, 3, 2, -1], [-3, 2, 11, -5, -5, 2], [141, 483, 127, -457, -113, 91], [-19335, -67270, -22124, 64063, 17332, -13090]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-2\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+2a-3\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+3a^{3}-3a^{2}+1\\right){x}^{2}+\\left(91a^{5}-113a^{4}-457a^{3}+127a^{2}+483a+141\\right){x}-13090a^{5}+17332a^{4}+64063a^{3}-22124a^{2}-67270a-19335"
"97.2-b1"	"97.2-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	1	[2]	0	"1.2.A.1.1a"	[[-1, 4, 5, -4, -2, 1], [0, -4, -4, 8, 3, -2], [1, 4, 4, -8, -3, 2], [-9, -6, 16, 10, -3, -1], [4, -2, -12, 1, 4, -1]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-1\\right){x}{y}+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+4a+1\\right){y}={x}^{3}+\\left(-2a^{5}+3a^{4}+8a^{3}-4a^{2}-4a\\right){x}^{2}+\\left(-a^{5}-3a^{4}+10a^{3}+16a^{2}-6a-9\\right){x}-a^{5}+4a^{4}+a^{3}-12a^{2}-2a+4"
"97.2-b2"	"97.2-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	1	[2]	0	"1.2.A.1.1a"	[[-3, 2, 15, -8, -7, 3], [-3, -4, 7, -1, -3, 1], [1, 4, 1, -5, -1, 1], [-171, 92, 431, -202, -172, 70], [964, -616, -2252, 1131, 873, -366]]	"{y}^2+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+2a-3\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+4a+1\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-a^{3}+7a^{2}-4a-3\\right){x}^{2}+\\left(70a^{5}-172a^{4}-202a^{3}+431a^{2}+92a-171\\right){x}-366a^{5}+873a^{4}+1131a^{3}-2252a^{2}-616a+964"
"97.2-c1"	"97.2-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	0	[2]	0	"1.2.A.1.1a"	[[1, 3, 1, -5, -1, 1], [2, 1, -1, -4, -1, 1], [-2, 1, 11, -5, -5, 2], [-3, -3, 11, 5, -11, 3], [-10, -10, 43, 14, -45, 13]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+3a+1\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+a-2\\right){y}={x}^{3}+\\left(a^{5}-a^{4}-4a^{3}-a^{2}+a+2\\right){x}^{2}+\\left(3a^{5}-11a^{4}+5a^{3}+11a^{2}-3a-3\\right){x}+13a^{5}-45a^{4}+14a^{3}+43a^{2}-10a-10"
"97.2-c2"	"97.2-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	0	[2]	0	"1.2.A.1.1a"	[[0, 2, 7, -6, -4, 2], [-4, 1, 8, -2, -3, 1], [-3, 5, 12, -10, -6, 3], [-231, 127, 528, -249, -202, 83], [-1016, 638, 2395, -1187, -921, 385]]	"{y}^2+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+5a-3\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}+a-4\\right){x}^{2}+\\left(83a^{5}-202a^{4}-249a^{3}+528a^{2}+127a-231\\right){x}+385a^{5}-921a^{4}-1187a^{3}+2395a^{2}+638a-1016"
"97.2-d1"	"97.2-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	0	[]	0	"1.2.A.1.1a"	[[0, 5, 4, -8, -3, 2], [-2, 0, 8, -2, -3, 1], [-3, 5, 12, -10, -6, 3], [-129, 173, 308, -348, -185, 98], [-329, 1375, 947, -3026, -1069, 740]]	"{y}^2+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+5a-3\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}-2\\right){x}^{2}+\\left(98a^{5}-185a^{4}-348a^{3}+308a^{2}+173a-129\\right){x}+740a^{5}-1069a^{4}-3026a^{3}+947a^{2}+1375a-329"
"97.2-d2"	"97.2-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	0	[7]	0	"1.2.A.1.1a"	[[0, 5, 4, -8, -3, 2], [-2, 0, 8, -2, -3, 1], [-3, 5, 12, -10, -6, 3], [-4, -7, 8, 12, 0, -2], [-5, -7, 9, 16, 1, -3]]	"{y}^2+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+5a-3\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}-2\\right){x}^{2}+\\left(-2a^{5}+12a^{3}+8a^{2}-7a-4\\right){x}-3a^{5}+a^{4}+16a^{3}+9a^{2}-7a-5"
"97.2-e1"	"97.2-e"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	0	[2]	0	"1.2.A.1.1a"	[[1, 4, 0, -5, -1, 1], [4, -3, -6, 4, 2, -1], [1, 0, 0, 0, 0, 0], [-4, -6, 8, 7, -1, -1], [-16, 9, 36, -15, -13, 5]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+4a+1\\right){x}{y}+{y}={x}^{3}+\\left(-a^{5}+2a^{4}+4a^{3}-6a^{2}-3a+4\\right){x}^{2}+\\left(-a^{5}-a^{4}+7a^{3}+8a^{2}-6a-4\\right){x}+5a^{5}-13a^{4}-15a^{3}+36a^{2}+9a-16"
"97.2-e2"	"97.2-e"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	0	[2]	0	"1.2.A.1.1a"	[[1, 4, 0, -5, -1, 1], [4, -3, -6, 4, 2, -1], [1, 0, 0, 0, 0, 0], [-129, 24, 233, -73, -81, 29], [-631, 534, 1537, -863, -599, 262]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+4a+1\\right){x}{y}+{y}={x}^{3}+\\left(-a^{5}+2a^{4}+4a^{3}-6a^{2}-3a+4\\right){x}^{2}+\\left(29a^{5}-81a^{4}-73a^{3}+233a^{2}+24a-129\\right){x}+262a^{5}-599a^{4}-863a^{3}+1537a^{2}+534a-631"
"97.2-f1"	"97.2-f"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	1	[]	0	"1.2.A.1.1a"	[[-4, 0, 12, -5, -5, 2], [3, -1, -2, 1, 0, 0], [2, 4, 0, -5, -1, 1], [-2, 3, 14, -10, -6, 3], [-2, -3, 6, -1, -3, 1]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-4\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+4a+2\\right){y}={x}^{3}+\\left(a^{3}-2a^{2}-a+3\\right){x}^{2}+\\left(3a^{5}-6a^{4}-10a^{3}+14a^{2}+3a-2\\right){x}+a^{5}-3a^{4}-a^{3}+6a^{2}-3a-2"
"97.2-f2"	"97.2-f"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	1	[]	0	"1.2.A.1.1a"	[[0, 1, 4, -3, -2, 1], [4, 0, -15, 8, 7, -3], [0, 1, 3, -3, -2, 1], [-3, -5, 13, 2, -4, 1], [2, 0, -12, 6, 6, -2]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}+a\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a\\right){y}={x}^{3}+\\left(-3a^{5}+7a^{4}+8a^{3}-15a^{2}+4\\right){x}^{2}+\\left(a^{5}-4a^{4}+2a^{3}+13a^{2}-5a-3\\right){x}-2a^{5}+6a^{4}+6a^{3}-12a^{2}+2"
"97.3-a1"	"97.3-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	1	[2]	0	"1.2.A.1.1a"	[[-3, 4, 12, -10, -6, 3], [-5, -1, 12, -5, -5, 2], [-1, 5, 8, -7, -4, 2], [-21, -72, -28, 75, 22, -16], [72, 253, 83, -244, -66, 50]]	"{y}^2+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-3\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-1\\right){y}={x}^{3}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-a-5\\right){x}^{2}+\\left(-16a^{5}+22a^{4}+75a^{3}-28a^{2}-72a-21\\right){x}+50a^{5}-66a^{4}-244a^{3}+83a^{2}+253a+72"
"97.3-a2"	"97.3-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	1	[2]	0	"1.2.A.1.1a"	[[1, 3, -3, -2, 1, 0], [3, 1, -8, 2, 3, -1], [1, 4, 0, -5, -1, 1], [1, 0, -4, -1, 1, 0], [0, 0, 0, 0, 0, 0]]	"{y}^2+\\left(a^{4}-2a^{3}-3a^{2}+3a+1\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+4a+1\\right){y}={x}^{3}+\\left(-a^{5}+3a^{4}+2a^{3}-8a^{2}+a+3\\right){x}^{2}+\\left(a^{4}-a^{3}-4a^{2}+1\\right){x}"
"97.3-a3"	"97.3-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	1	[2]	0	"1.2.A.1.1a"	[[-1, 5, 8, -7, -4, 2], [-3, -4, 11, 0, -4, 1], [-1, 4, 5, -4, -2, 1], [-301, -1253, -504, 1216, 353, -254], [3799, 13901, 4931, -13334, -3706, 2748]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-1\\right){x}{y}+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-1\\right){y}={x}^{3}+\\left(a^{5}-4a^{4}+11a^{2}-4a-3\\right){x}^{2}+\\left(-254a^{5}+353a^{4}+1216a^{3}-504a^{2}-1253a-301\\right){x}+2748a^{5}-3706a^{4}-13334a^{3}+4931a^{2}+13901a+3799"
"97.3-a4"	"97.3-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	1	[2]	0	"1.2.A.1.1a"	[[-1, 2, 7, -6, -4, 2], [2, 2, -10, 0, 4, -1], [-2, 4, 12, -10, -6, 3], [2, 14, -27, -18, 28, -7], [-477, -648, 2356, 827, -2489, 715]]	"{y}^2+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a-1\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-2\\right){y}={x}^{3}+\\left(-a^{5}+4a^{4}-10a^{2}+2a+2\\right){x}^{2}+\\left(-7a^{5}+28a^{4}-18a^{3}-27a^{2}+14a+2\\right){x}+715a^{5}-2489a^{4}+827a^{3}+2356a^{2}-648a-477"
"97.3-b1"	"97.3-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	1	[2]	0	"1.2.A.1.1a"	[[-2, 4, 12, -10, -6, 3], [3, 0, -4, -1, 1, 0], [0, 2, 3, -3, -2, 1], [-17, -64, -14, 57, 13, -11], [32, 112, 43, -109, -32, 23]]	"{y}^2+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-2\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+2a\\right){y}={x}^{3}+\\left(a^{4}-a^{3}-4a^{2}+3\\right){x}^{2}+\\left(-11a^{5}+13a^{4}+57a^{3}-14a^{2}-64a-17\\right){x}+23a^{5}-32a^{4}-109a^{3}+43a^{2}+112a+32"
"97.3-b2"	"97.3-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	1	[2]	0	"1.2.A.1.1a"	[[1, 1, 0, 0, 0, 0], [-4, -3, 18, -6, -8, 3], [-3, 4, 12, -10, -6, 3], [-19, -84, -68, 91, 38, -22], [83, 298, 116, -275, -80, 57]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-3\\right){y}={x}^{3}+\\left(3a^{5}-8a^{4}-6a^{3}+18a^{2}-3a-4\\right){x}^{2}+\\left(-22a^{5}+38a^{4}+91a^{3}-68a^{2}-84a-19\\right){x}+57a^{5}-80a^{4}-275a^{3}+116a^{2}+298a+83"
"97.3-c1"	"97.3-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	0	[2]	0	"1.2.A.1.1a"	[[-2, 3, 9, -7, -4, 2], [-2, 0, 4, 1, -1, 0], [1, 4, -3, -2, 1, 0], [-30, -88, -14, 83, 18, -16], [-82, -283, -93, 273, 74, -56]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+3a-2\\right){x}{y}+\\left(a^{4}-2a^{3}-3a^{2}+4a+1\\right){y}={x}^{3}+\\left(-a^{4}+a^{3}+4a^{2}-2\\right){x}^{2}+\\left(-16a^{5}+18a^{4}+83a^{3}-14a^{2}-88a-30\\right){x}-56a^{5}+74a^{4}+273a^{3}-93a^{2}-283a-82"
"97.3-c2"	"97.3-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	0	[2]	0	"1.2.A.1.1a"	[[0, 5, 4, -8, -3, 2], [-3, 4, 8, -7, -4, 2], [0, 4, 1, -5, -1, 1], [-15, -15, 30, 5, -12, 1], [-25, -41, 52, 31, -18, -7]]	"{y}^2+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+4a\\right){y}={x}^{3}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+4a-3\\right){x}^{2}+\\left(a^{5}-12a^{4}+5a^{3}+30a^{2}-15a-15\\right){x}-7a^{5}-18a^{4}+31a^{3}+52a^{2}-41a-25"
"97.3-d1"	"97.3-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	0	[]	0	"1.2.A.1.1a"	[[1, 4, -3, -2, 1, 0], [-1, -3, 0, 5, 1, -1], [-3, 3, 9, -7, -4, 2], [1631, 779, -8854, 2912, 3823, -1418], [46145, 28926, -232259, 70810, 99683, -36366]]	"{y}^2+\\left(a^{4}-2a^{3}-3a^{2}+4a+1\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+3a-3\\right){y}={x}^{3}+\\left(-a^{5}+a^{4}+5a^{3}-3a-1\\right){x}^{2}+\\left(-1418a^{5}+3823a^{4}+2912a^{3}-8854a^{2}+779a+1631\\right){x}-36366a^{5}+99683a^{4}+70810a^{3}-232259a^{2}+28926a+46145"
"97.3-d2"	"97.3-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	0	[7]	0	"1.2.A.1.1a"	[[0, 2, 7, -6, -4, 2], [-5, -1, 14, -3, -6, 2], [1, 4, 0, -5, -1, 1], [1, -6, 1, 1, 0, 0], [-3, -1, 10, -4, -5, 2]]	"{y}^2+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+4a+1\\right){y}={x}^{3}+\\left(2a^{5}-6a^{4}-3a^{3}+14a^{2}-a-5\\right){x}^{2}+\\left(a^{3}+a^{2}-6a+1\\right){x}+2a^{5}-5a^{4}-4a^{3}+10a^{2}-a-3"
"97.3-e1"	"97.3-e"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	0	[2]	0	"1.2.A.1.1a"	[[2, 4, 0, -5, -1, 1], [-3, -4, 4, 6, 0, -1], [-3, 4, 12, -10, -6, 3], [-16, 0, 35, 4, -9, 1], [-19, 2, 42, 4, -10, 1]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+4a+2\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-3\\right){y}={x}^{3}+\\left(-a^{5}+6a^{3}+4a^{2}-4a-3\\right){x}^{2}+\\left(a^{5}-9a^{4}+4a^{3}+35a^{2}-16\\right){x}+a^{5}-10a^{4}+4a^{3}+42a^{2}+2a-19"
"97.3-e2"	"97.3-e"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	0	[2]	0	"1.2.A.1.1a"	[[0, 4, 4, -8, -3, 2], [-5, -2, 9, -2, -3, 1], [-2, 4, 12, -10, -6, 3], [30, 100, -48, -242, -42, 51], [433, 1198, -825, -2796, -391, 570]]	"{y}^2+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+4a\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-2\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-2a^{3}+9a^{2}-2a-5\\right){x}^{2}+\\left(51a^{5}-42a^{4}-242a^{3}-48a^{2}+100a+30\\right){x}+570a^{5}-391a^{4}-2796a^{3}-825a^{2}+1198a+433"
"97.3-f1"	"97.3-f"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	1	[]	0	"1.2.A.1.1a"	[[-1, 1, 7, -6, -4, 2], [1, 3, 0, -5, -1, 1], [-3, 2, 11, -5, -5, 2], [6, 13, -10, -6, 3, 0], [9, 20, -21, -7, 7, -1]]	"{y}^2+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+a-1\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+2a-3\\right){y}={x}^{3}+\\left(a^{5}-a^{4}-5a^{3}+3a+1\\right){x}^{2}+\\left(3a^{4}-6a^{3}-10a^{2}+13a+6\\right){x}-a^{5}+7a^{4}-7a^{3}-21a^{2}+20a+9"
"97.3-f2"	"97.3-f"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	1	[]	0	"1.2.A.1.1a"	[[1, 4, 1, -5, -1, 1], [5, -2, -15, 8, 7, -3], [-1, 5, 8, -7, -4, 2], [-4, -6, 7, 6, 0, -1], [20, -18, -52, 33, 22, -10]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+4a+1\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-1\\right){y}={x}^{3}+\\left(-3a^{5}+7a^{4}+8a^{3}-15a^{2}-2a+5\\right){x}^{2}+\\left(-a^{5}+6a^{3}+7a^{2}-6a-4\\right){x}-10a^{5}+22a^{4}+33a^{3}-52a^{2}-18a+20"
"97.4-a1"	"97.4-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	0	[2]	0	"1.2.A.1.1a"	[[-1, 2, 7, -6, -4, 2], [-1, -4, 4, 2, -1, 0], [1, 4, -3, -2, 1, 0], [-31, -16, 133, -35, -54, 19], [-293, -209, 1435, -414, -613, 221]]	"{y}^2+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a-1\\right){x}{y}+\\left(a^{4}-2a^{3}-3a^{2}+4a+1\\right){y}={x}^{3}+\\left(-a^{4}+2a^{3}+4a^{2}-4a-1\\right){x}^{2}+\\left(19a^{5}-54a^{4}-35a^{3}+133a^{2}-16a-31\\right){x}+221a^{5}-613a^{4}-414a^{3}+1435a^{2}-209a-293"
"97.4-a2"	"97.4-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	0	[2]	0	"1.2.A.1.1a"	[[-2, 4, 8, -7, -4, 2], [3, 3, -4, -2, 1, 0], [-2, 4, 8, -7, -4, 2], [-19, -67, -30, 66, 20, -14], [-79, -292, -133, 293, 91, -63]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+4a-2\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+4a-2\\right){y}={x}^{3}+\\left(a^{4}-2a^{3}-4a^{2}+3a+3\\right){x}^{2}+\\left(-14a^{5}+20a^{4}+66a^{3}-30a^{2}-67a-19\\right){x}-63a^{5}+91a^{4}+293a^{3}-133a^{2}-292a-79"
"97.4-a3"	"97.4-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	0	[2]	0	"1.2.A.1.1a"	[[-2, 3, 9, -7, -4, 2], [1, 3, 1, -5, -1, 1], [-3, 4, 12, -10, -6, 3], [84, 196, -230, -373, -24, 71], [-57, -384, -231, 1224, 423, -317]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+3a-2\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-3\\right){y}={x}^{3}+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+3a+1\\right){x}^{2}+\\left(71a^{5}-24a^{4}-373a^{3}-230a^{2}+196a+84\\right){x}-317a^{5}+423a^{4}+1224a^{3}-231a^{2}-384a-57"
"97.4-a4"	"97.4-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	97	0	[2]	0	"1.2.A.1.1a"	[[-3, 1, 12, -5, -5, 2], [1, 3, -10, 4, 5, -2], [0, 1, 4, -3, -2, 1], [-18, -55, -26, 56, 16, -9], [-48, -162, -26, 102, 25, 0]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}+a-3\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}+a\\right){y}={x}^{3}+\\left(-2a^{5}+5a^{4}+4a^{3}-10a^{2}+3a+1\\right){x}^{2}+\\left(-9a^{5}+16a^{4}+56a^{3}-26a^{2}-55a-18\\right){x}+25a^{4}+102a^{3}-26a^{2}-162a-48"
"113.1-a1"	"113.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	113	1	[]	0	"1.2.A.1.1a"	[[0, 1, 0, 0, 0, 0], [-4, -2, 11, 0, -4, 1], [-3, 3, 9, -7, -4, 2], [3, -5, -5, 8, 3, -2], [-10, 7, 23, -13, -9, 4]]	"{y}^2+a{x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+3a-3\\right){y}={x}^{3}+\\left(a^{5}-4a^{4}+11a^{2}-2a-4\\right){x}^{2}+\\left(-2a^{5}+3a^{4}+8a^{3}-5a^{2}-5a+3\\right){x}+4a^{5}-9a^{4}-13a^{3}+23a^{2}+7a-10"
"113.1-a2"	"113.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	113	1	[]	0	"1.2.A.1.1a"	[[1, 1, 3, -3, -2, 1], [-2, -4, 7, 3, -2, 0], [-1, 4, 8, -7, -4, 2], [-4, -9, 9, 8, -1, -1], [-2, -3, 7, 3, -2, 0]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a+1\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+4a-1\\right){y}={x}^{3}+\\left(-2a^{4}+3a^{3}+7a^{2}-4a-2\\right){x}^{2}+\\left(-a^{5}-a^{4}+8a^{3}+9a^{2}-9a-4\\right){x}-2a^{4}+3a^{3}+7a^{2}-3a-2"
"113.1-b1"	"113.1-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	113	0	[]	0	"1.2.A.1.1a"	[[-3, 1, 11, -5, -5, 2], [-5, -1, 9, -2, -3, 1], [0, 0, 4, -3, -2, 1], [11, -2, -31, 5, 11, -3], [-3, 7, 5, -13, -4, 3]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+a-3\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-2a^{3}+9a^{2}-a-5\\right){x}^{2}+\\left(-3a^{5}+11a^{4}+5a^{3}-31a^{2}-2a+11\\right){x}+3a^{5}-4a^{4}-13a^{3}+5a^{2}+7a-3"
"113.1-b2"	"113.1-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	113	0	[]	0	"1.2.A.1.1a"	[[-3, 0, 8, -2, -3, 1], [-2, 3, 6, -4, -2, 1], [1, 4, -3, -2, 1, 0], [-16, 13, 35, -19, -14, 6], [-21, 12, 47, -21, -20, 8]]	"{y}^2+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}-3\\right){x}{y}+\\left(a^{4}-2a^{3}-3a^{2}+4a+1\\right){y}={x}^{3}+\\left(a^{5}-2a^{4}-4a^{3}+6a^{2}+3a-2\\right){x}^{2}+\\left(6a^{5}-14a^{4}-19a^{3}+35a^{2}+13a-16\\right){x}+8a^{5}-20a^{4}-21a^{3}+47a^{2}+12a-21"
"113.1-c1"	"113.1-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	113	1	[2]	0	"1.2.A.1.1a"	[[2, 4, -3, -2, 1, 0], [1, 1, -6, 1, 3, -1], [0, 0, 4, -3, -2, 1], [-71, -118, 12, 85, 17, -17], [-262, -668, -139, 615, 198, -139]]	"{y}^2+\\left(a^{4}-2a^{3}-3a^{2}+4a+2\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}\\right){y}={x}^{3}+\\left(-a^{5}+3a^{4}+a^{3}-6a^{2}+a+1\\right){x}^{2}+\\left(-17a^{5}+17a^{4}+85a^{3}+12a^{2}-118a-71\\right){x}-139a^{5}+198a^{4}+615a^{3}-139a^{2}-668a-262"
"113.1-c2"	"113.1-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	113	1	[2, 2]	0	"1.2.A.1.1a"	[[-2, 5, 8, -7, -4, 2], [-4, -2, 11, 0, -4, 1], [1, 0, 0, 0, 0, 0], [-120, -7, 214, -52, -74, 25], [-328, 217, 778, -398, -300, 127]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-2\\right){x}{y}+{y}={x}^{3}+\\left(a^{5}-4a^{4}+11a^{2}-2a-4\\right){x}^{2}+\\left(25a^{5}-74a^{4}-52a^{3}+214a^{2}-7a-120\\right){x}+127a^{5}-300a^{4}-398a^{3}+778a^{2}+217a-328"
"113.1-c3"	"113.1-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	113	1	[2]	0	"1.2.A.1.1a"	[[2, 3, -3, -2, 1, 0], [2, -2, -6, 4, 2, -1], [0, 4, 1, -5, -1, 1], [-174, 29, 296, -125, -109, 44], [-10, 389, 265, -477, -162, 108]]	"{y}^2+\\left(a^{4}-2a^{3}-3a^{2}+3a+2\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+4a\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+4a^{3}-6a^{2}-2a+2\\right){x}^{2}+\\left(44a^{5}-109a^{4}-125a^{3}+296a^{2}+29a-174\\right){x}+108a^{5}-162a^{4}-477a^{3}+265a^{2}+389a-10"
"113.1-c4"	"113.1-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	113	1	[4]	0	"1.2.A.1.1a"	[[-2, 3, 5, -4, -2, 1], [0, 2, -1, 0, 0, 0], [-1, 5, 8, -7, -4, 2], [-7, -17, -1, 22, 6, -5], [-1, 4, 15, 0, -5, 1]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-2\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-1\\right){y}={x}^{3}+\\left(-a^{2}+2a\\right){x}^{2}+\\left(-5a^{5}+6a^{4}+22a^{3}-a^{2}-17a-7\\right){x}+a^{5}-5a^{4}+15a^{2}+4a-1"
"113.1-c5"	"113.1-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	113	1	[4]	0	"1.2.A.1.1a"	[[-3, 1, 11, -5, -5, 2], [-5, 0, 9, -2, -3, 1], [0, 1, 7, -6, -4, 2], [12, 5, -32, -1, 10, -2], [-9, 3, 12, 1, -2, 0]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+a-3\\right){x}{y}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+a\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-2a^{3}+9a^{2}-5\\right){x}^{2}+\\left(-2a^{5}+10a^{4}-a^{3}-32a^{2}+5a+12\\right){x}-2a^{4}+a^{3}+12a^{2}+3a-9"
"113.1-c6"	"113.1-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	113	1	[2, 2]	0	"1.2.A.1.1a"	[[0, 2, 3, -3, -2, 1], [0, -4, 3, 2, -1, 0], [0, 2, 3, -3, -2, 1], [-7, -16, 2, 4, -2, 0], [8, 29, 12, -29, -8, 7]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+2a\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+2a\\right){y}={x}^{3}+\\left(-a^{4}+2a^{3}+3a^{2}-4a\\right){x}^{2}+\\left(-2a^{4}+4a^{3}+2a^{2}-16a-7\\right){x}+7a^{5}-8a^{4}-29a^{3}+12a^{2}+29a+8"
"113.1-c7"	"113.1-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	113	1	[2]	0	"1.2.A.1.1a"	[[-3, 5, 12, -10, -6, 3], [1, -1, 0, 0, 0, 0], [-3, 4, 9, -7, -4, 2], [-345, 57, 981, -342, -431, 161], [1971, -176, -6622, 2806, 2369, -955]]	"{y}^2+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+5a-3\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+4a-3\\right){y}={x}^{3}+\\left(-a+1\\right){x}^{2}+\\left(161a^{5}-431a^{4}-342a^{3}+981a^{2}+57a-345\\right){x}-955a^{5}+2369a^{4}+2806a^{3}-6622a^{2}-176a+1971"
"113.1-c8"	"113.1-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	113	1	[2]	0	"1.2.A.1.1a"	[[-3, 4, 12, -10, -6, 3], [3, -3, -6, 4, 2, -1], [-1, 2, 7, -6, -4, 2], [-374, 375, 613, -417, -228, 108], [3058, -1002, -8979, 3811, 3581, -1421]]	"{y}^2+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-3\\right){x}{y}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a-1\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+4a^{3}-6a^{2}-3a+3\\right){x}^{2}+\\left(108a^{5}-228a^{4}-417a^{3}+613a^{2}+375a-374\\right){x}-1421a^{5}+3581a^{4}+3811a^{3}-8979a^{2}-1002a+3058"
"113.1-d1"	"113.1-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	113	1	[]	0	"1.2.A.1.1a"	[[-4, 1, 12, -5, -5, 2], [-1, 4, 4, -4, -2, 1], [-1, 4, 5, -4, -2, 1], [-27, 19, 66, -34, -26, 11], [46, -30, -110, 55, 43, -18]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}+a-4\\right){x}{y}+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-1\\right){y}={x}^{3}+\\left(a^{5}-2a^{4}-4a^{3}+4a^{2}+4a-1\\right){x}^{2}+\\left(11a^{5}-26a^{4}-34a^{3}+66a^{2}+19a-27\\right){x}-18a^{5}+43a^{4}+55a^{3}-110a^{2}-30a+46"
"113.4-a1"	"113.4-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	113	1	[]	0	"1.2.A.1.1a"	[[-1, 5, 8, -7, -4, 2], [-4, 2, 15, -8, -7, 3], [-2, 5, 12, -10, -6, 3], [-16, -47, -7, 42, 9, -8], [21, 72, 21, -69, -18, 14]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-1\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+5a-2\\right){y}={x}^{3}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+2a-4\\right){x}^{2}+\\left(-8a^{5}+9a^{4}+42a^{3}-7a^{2}-47a-16\\right){x}+14a^{5}-18a^{4}-69a^{3}+21a^{2}+72a+21"
"113.4-a2"	"113.4-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	113	1	[]	0	"1.2.A.1.1a"	[[0, 1, 3, -3, -2, 1], [0, 1, 4, -3, -2, 1], [-3, 4, 12, -10, -6, 3], [1, 10, 5, -13, -4, 3], [1, 4, -3, -6, 0, 1]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-3\\right){y}={x}^{3}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}+a\\right){x}^{2}+\\left(3a^{5}-4a^{4}-13a^{3}+5a^{2}+10a+1\\right){x}+a^{5}-6a^{3}-3a^{2}+4a+1"
"113.4-b1"	"113.4-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	113	0	[]	0	"1.2.A.1.1a"	[[-2, 1, 11, -5, -5, 2], [2, 1, -1, -4, -1, 1], [0, 5, 4, -8, -3, 2], [29, -22, -75, 46, 31, -14], [7, 16, -53, 4, 21, -6]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+a-2\\right){x}{y}+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a\\right){y}={x}^{3}+\\left(a^{5}-a^{4}-4a^{3}-a^{2}+a+2\\right){x}^{2}+\\left(-14a^{5}+31a^{4}+46a^{3}-75a^{2}-22a+29\\right){x}-6a^{5}+21a^{4}+4a^{3}-53a^{2}+16a+7"
"113.4-b2"	"113.4-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	113	0	[]	0	"1.2.A.1.1a"	[[-2, 0, 8, -2, -3, 1], [-2, 4, 8, -7, -4, 2], [-3, 3, 9, -7, -4, 2], [1, -12, -41, 4, 13, -3], [-27, -78, -2, 76, 13, -14]]	"{y}^2+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}-2\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+3a-3\\right){y}={x}^{3}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+4a-2\\right){x}^{2}+\\left(-3a^{5}+13a^{4}+4a^{3}-41a^{2}-12a+1\\right){x}-14a^{5}+13a^{4}+76a^{3}-2a^{2}-78a-27"
"113.4-c1"	"113.4-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	113	1	[2]	0	"1.2.A.1.1a"	[[-2, 1, 8, -2, -3, 1], [0, -2, 6, -1, -3, 1], [0, 4, 4, -8, -3, 2], [-58, 111, 181, -124, -87, 39], [297, 222, -265, -106, 1, 22]]	"{y}^2+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}+a-2\\right){x}{y}+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+4a\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-a^{3}+6a^{2}-2a\\right){x}^{2}+\\left(39a^{5}-87a^{4}-124a^{3}+181a^{2}+111a-58\\right){x}+22a^{5}+a^{4}-106a^{3}-265a^{2}+222a+297"
"113.4-c2"	"113.4-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	113	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 2, 3, -3, -2, 1], [1, 2, -3, -2, 1, 0], [1, 5, 4, -8, -3, 2], [-2, -10, -15, 22, 3, -4], [-8, -10, 37, 0, -23, 5]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+2a+1\\right){x}{y}+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a+1\\right){y}={x}^{3}+\\left(a^{4}-2a^{3}-3a^{2}+2a+1\\right){x}^{2}+\\left(-4a^{5}+3a^{4}+22a^{3}-15a^{2}-10a-2\\right){x}+5a^{5}-23a^{4}+37a^{2}-10a-8"
"113.4-c3"	"113.4-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	113	1	[2]	0	"1.2.A.1.1a"	[[2, 3, -3, -2, 1, 0], [-1, -4, 4, 2, -1, 0], [1, 4, 1, -5, -1, 1], [17, 19, -105, 31, 36, -14], [112, 98, -568, 128, 252, -88]]	"{y}^2+\\left(a^{4}-2a^{3}-3a^{2}+3a+2\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+4a+1\\right){y}={x}^{3}+\\left(-a^{4}+2a^{3}+4a^{2}-4a-1\\right){x}^{2}+\\left(-14a^{5}+36a^{4}+31a^{3}-105a^{2}+19a+17\\right){x}-88a^{5}+252a^{4}+128a^{3}-568a^{2}+98a+112"
"113.4-c4"	"113.4-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	113	1	[4]	0	"1.2.A.1.1a"	[[2, 3, -3, -2, 1, 0], [-1, -4, 4, 2, -1, 0], [1, 4, 1, -5, -1, 1], [-3, -6, 10, 1, -4, 1], [-2, -3, 7, -1, -3, 1]]	"{y}^2+\\left(a^{4}-2a^{3}-3a^{2}+3a+2\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+4a+1\\right){y}={x}^{3}+\\left(-a^{4}+2a^{3}+4a^{2}-4a-1\\right){x}^{2}+\\left(a^{5}-4a^{4}+a^{3}+10a^{2}-6a-3\\right){x}+a^{5}-3a^{4}-a^{3}+7a^{2}-3a-2"
"113.4-c5"	"113.4-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	113	1	[2, 2]	0	"1.2.A.1.1a"	[[-1, 5, 8, -7, -4, 2], [-2, 1, 8, -2, -3, 1], [-1, 5, 8, -7, -4, 2], [-59, 46, 112, -60, -42, 18], [157, -104, -369, 187, 145, -61]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-1\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-1\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}+a-2\\right){x}^{2}+\\left(18a^{5}-42a^{4}-60a^{3}+112a^{2}+46a-59\\right){x}-61a^{5}+145a^{4}+187a^{3}-369a^{2}-104a+157"
"113.4-c6"	"113.4-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	113	1	[4]	0	"1.2.A.1.1a"	[[-2, 1, 11, -5, -5, 2], [-5, -3, 18, -6, -8, 3], [0, 1, 0, 0, 0, 0], [-10, -8, 48, -12, -20, 7], [-5, -3, 25, -8, -11, 4]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+a-2\\right){x}{y}+a{y}={x}^{3}+\\left(3a^{5}-8a^{4}-6a^{3}+18a^{2}-3a-5\\right){x}^{2}+\\left(7a^{5}-20a^{4}-12a^{3}+48a^{2}-8a-10\\right){x}+4a^{5}-11a^{4}-8a^{3}+25a^{2}-3a-5"
"113.4-c7"	"113.4-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	113	1	[2]	0	"1.2.A.1.1a"	[[-3, 2, 15, -8, -7, 3], [-1, 4, 5, -4, -2, 1], [-4, 1, 12, -5, -5, 2], [-155, -507, -123, 540, 128, -110], [-989, -3598, -1716, 2738, 915, -559]]	"{y}^2+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+2a-3\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}+a-4\\right){y}={x}^{3}+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-1\\right){x}^{2}+\\left(-110a^{5}+128a^{4}+540a^{3}-123a^{2}-507a-155\\right){x}-559a^{5}+915a^{4}+2738a^{3}-1716a^{2}-3598a-989"
"113.4-c8"	"113.4-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	113	1	[2]	0	"1.2.A.1.1a"	[[-3, 1, 12, -5, -5, 2], [-1, 2, 7, -6, -4, 2], [-3, 1, 12, -5, -5, 2], [-864, -2991, -1015, 2825, 773, -578], [-15219, -52982, -17478, 50361, 13645, -10291]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}+a-3\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}+a-3\\right){y}={x}^{3}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a-1\\right){x}^{2}+\\left(-578a^{5}+773a^{4}+2825a^{3}-1015a^{2}-2991a-864\\right){x}-10291a^{5}+13645a^{4}+50361a^{3}-17478a^{2}-52982a-15219"
"113.4-d1"	"113.4-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	113	1	[]	0	"1.2.A.1.1a"	[[0, 0, 4, -3, -2, 1], [-1, -2, -3, 3, 2, -1], [-3, 0, 12, -5, -5, 2], [1, -7, -19, 12, 9, -4], [8, 24, -1, -19, -2, 3]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-3\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+3a^{3}-3a^{2}-2a-1\\right){x}^{2}+\\left(-4a^{5}+9a^{4}+12a^{3}-19a^{2}-7a+1\\right){x}+3a^{5}-2a^{4}-19a^{3}-a^{2}+24a+8"
"127.1-a1"	"127.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	1	[2]	0	"1.2.A.1.1a"	[[0, 4, 4, -8, -3, 2], [2, -4, -1, 1, 0, 0], [-1, 1, 7, -6, -4, 2], [-2, -15, 2, 17, 2, -3], [-4, -15, 3, 25, 4, -5]]	"{y}^2+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+4a\\right){x}{y}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+a-1\\right){y}={x}^{3}+\\left(a^{3}-a^{2}-4a+2\\right){x}^{2}+\\left(-3a^{5}+2a^{4}+17a^{3}+2a^{2}-15a-2\\right){x}-5a^{5}+4a^{4}+25a^{3}+3a^{2}-15a-4"
"127.1-a2"	"127.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	1	[2]	0	"1.2.A.1.1a"	[[0, 4, 4, -8, -3, 2], [2, -4, -1, 1, 0, 0], [-1, 1, 7, -6, -4, 2], [-32, -120, -33, 117, 27, -23], [-116, -409, -136, 397, 108, -83]]	"{y}^2+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+4a\\right){x}{y}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+a-1\\right){y}={x}^{3}+\\left(a^{3}-a^{2}-4a+2\\right){x}^{2}+\\left(-23a^{5}+27a^{4}+117a^{3}-33a^{2}-120a-32\\right){x}-83a^{5}+108a^{4}+397a^{3}-136a^{2}-409a-116"
"127.1-b1"	"127.1-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[]	0	"1.2.A.1.1a"	[[1, 5, 0, -5, -1, 1], [4, -1, -8, 2, 3, -1], [-2, 4, 12, -10, -6, 3], [9, 18, -3, -16, -2, 2], [9, 22, -13, -22, 3, 5]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+5a+1\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-2\\right){y}={x}^{3}+\\left(-a^{5}+3a^{4}+2a^{3}-8a^{2}-a+4\\right){x}^{2}+\\left(2a^{5}-2a^{4}-16a^{3}-3a^{2}+18a+9\\right){x}+5a^{5}+3a^{4}-22a^{3}-13a^{2}+22a+9"
"127.1-b2"	"127.1-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[]	0	"1.2.A.1.1a"	[[0, 2, 3, -3, -2, 1], [-1, -1, 6, -1, -3, 1], [-2, 0, 8, -2, -3, 1], [-8, -18, 11, 47, 8, -10], [1, -5, -20, 31, 15, -9]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+2a\\right){x}{y}+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}-2\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-a^{3}+6a^{2}-a-1\\right){x}^{2}+\\left(-10a^{5}+8a^{4}+47a^{3}+11a^{2}-18a-8\\right){x}-9a^{5}+15a^{4}+31a^{3}-20a^{2}-5a+1"
"127.1-c1"	"127.1-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[]	0	"1.2.A.1.1a"	[[-1, 1, 4, -3, -2, 1], [1, 2, -3, -2, 1, 0], [-3, 0, 12, -5, -5, 2], [-172, -592, -189, 560, 150, -114], [-1455, -5068, -1679, 4834, 1312, -989]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}+a-1\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-3\\right){y}={x}^{3}+\\left(a^{4}-2a^{3}-3a^{2}+2a+1\\right){x}^{2}+\\left(-114a^{5}+150a^{4}+560a^{3}-189a^{2}-592a-172\\right){x}-989a^{5}+1312a^{4}+4834a^{3}-1679a^{2}-5068a-1455"
"127.1-c2"	"127.1-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[]	0	"1.2.A.1.1a"	[[-3, 0, 12, -5, -5, 2], [-2, -2, 1, 4, 1, -1], [-3, 3, 9, -7, -4, 2], [-78, 46, 184, -84, -69, 28], [-650, 399, 1525, -750, -585, 244]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-3\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+3a-3\\right){y}={x}^{3}+\\left(-a^{5}+a^{4}+4a^{3}+a^{2}-2a-2\\right){x}^{2}+\\left(28a^{5}-69a^{4}-84a^{3}+184a^{2}+46a-78\\right){x}+244a^{5}-585a^{4}-750a^{3}+1525a^{2}+399a-650"
"127.1-d1"	"127.1-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	1	[]	0	"1.2.A.1.1a"	[[-1, 3, 5, -4, -2, 1], [1, 3, -3, -2, 1, 0], [-2, 5, 8, -7, -4, 2], [-2, 6, 10, -8, -4, 2], [-5, -12, -1, 11, 2, -2]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-1\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-2\\right){y}={x}^{3}+\\left(a^{4}-2a^{3}-3a^{2}+3a+1\\right){x}^{2}+\\left(2a^{5}-4a^{4}-8a^{3}+10a^{2}+6a-2\\right){x}-2a^{5}+2a^{4}+11a^{3}-a^{2}-12a-5"
"127.1-e1"	"127.1-e"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[]	0	"1.2.A.1.1a"	[[2, 3, -3, -2, 1, 0], [-3, 2, 5, -4, -2, 1], [0, 1, 0, 0, 0, 0], [20, 46, -39, -110, -13, 22], [78, 218, -148, -509, -72, 104]]	"{y}^2+\\left(a^{4}-2a^{3}-3a^{2}+3a+2\\right){x}{y}+a{y}={x}^{3}+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+2a-3\\right){x}^{2}+\\left(22a^{5}-13a^{4}-110a^{3}-39a^{2}+46a+20\\right){x}+104a^{5}-72a^{4}-509a^{3}-148a^{2}+218a+78"
"127.1-e2"	"127.1-e"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[]	0	"1.2.A.1.1a"	[[1, 4, -3, -2, 1, 0], [0, 1, 3, -3, -2, 1], [1, 3, -3, -2, 1, 0], [-47, 31, 111, -60, -44, 19], [-120, 77, 281, -145, -108, 46]]	"{y}^2+\\left(a^{4}-2a^{3}-3a^{2}+4a+1\\right){x}{y}+\\left(a^{4}-2a^{3}-3a^{2}+3a+1\\right){y}={x}^{3}+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a\\right){x}^{2}+\\left(19a^{5}-44a^{4}-60a^{3}+111a^{2}+31a-47\\right){x}+46a^{5}-108a^{4}-145a^{3}+281a^{2}+77a-120"
"127.1-f1"	"127.1-f"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[2]	0	"1.2.A.1.1a"	[[-3, 0, 12, -5, -5, 2], [-2, 2, 7, -2, -3, 1], [1, 4, 0, -5, -1, 1], [10, -18, -94, 56, 43, -20], [59, 73, -222, 27, 90, -27]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-3\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+4a+1\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-2a^{3}+7a^{2}+2a-2\\right){x}^{2}+\\left(-20a^{5}+43a^{4}+56a^{3}-94a^{2}-18a+10\\right){x}-27a^{5}+90a^{4}+27a^{3}-222a^{2}+73a+59"
"127.1-f2"	"127.1-f"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[2]	0	"1.2.A.1.1a"	[[2, 3, -3, -2, 1, 0], [2, 4, 0, -5, -1, 1], [0, 2, 7, -6, -4, 2], [4, 51, 23, -84, -27, 20], [15, 103, 13, -180, -47, 41]]	"{y}^2+\\left(a^{4}-2a^{3}-3a^{2}+3a+2\\right){x}{y}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a\\right){y}={x}^{3}+\\left(a^{5}-a^{4}-5a^{3}+4a+2\\right){x}^{2}+\\left(20a^{5}-27a^{4}-84a^{3}+23a^{2}+51a+4\\right){x}+41a^{5}-47a^{4}-180a^{3}+13a^{2}+103a+15"
"127.1-f3"	"127.1-f"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[2]	0	"1.2.A.1.1a"	[[0, 2, 7, -6, -4, 2], [3, 0, -9, 2, 3, -1], [-3, 1, 12, -5, -5, 2], [-44, -172, -84, 174, 56, -38], [31, 99, 13, -87, -17, 16]]	"{y}^2+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}+a-3\\right){y}={x}^{3}+\\left(-a^{5}+3a^{4}+2a^{3}-9a^{2}+3\\right){x}^{2}+\\left(-38a^{5}+56a^{4}+174a^{3}-84a^{2}-172a-44\\right){x}+16a^{5}-17a^{4}-87a^{3}+13a^{2}+99a+31"
"127.1-f4"	"127.1-f"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[2]	0	"1.2.A.1.1a"	[[-2, 4, 8, -7, -4, 2], [-3, 5, 8, -7, -4, 2], [-1, 2, 7, -6, -4, 2], [-3, 5, 8, -10, -5, 3], [7, -2, -18, 5, 6, -2]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+4a-2\\right){x}{y}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a-1\\right){y}={x}^{3}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-3\\right){x}^{2}+\\left(3a^{5}-5a^{4}-10a^{3}+8a^{2}+5a-3\\right){x}-2a^{5}+6a^{4}+5a^{3}-18a^{2}-2a+7"
"127.1-g1"	"127.1-g"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	1	[]	0	"1.2.A.1.1a"	[[-3, 2, 15, -8, -7, 3], [1, 5, 0, -5, -1, 1], [-1, 3, 5, -4, -2, 1], [6, -7, -10, 8, 4, -2], [-10, 16, 35, -24, -15, 7]]	"{y}^2+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+2a-3\\right){x}{y}+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-1\\right){y}={x}^{3}+\\left(a^{5}-a^{4}-5a^{3}+5a+1\\right){x}^{2}+\\left(-2a^{5}+4a^{4}+8a^{3}-10a^{2}-7a+6\\right){x}+7a^{5}-15a^{4}-24a^{3}+35a^{2}+16a-10"
"127.1-h1"	"127.1-h"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[4]	0	"1.2.A.1.1a"	[[0, 1, 0, 0, 0, 0], [0, 4, -3, -2, 1, 0], [0, 1, 7, -6, -4, 2], [12, 16, -41, -40, 13, 2], [-55, -78, 109, 170, 11, -31]]	"{y}^2+a{x}{y}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+a\\right){y}={x}^{3}+\\left(a^{4}-2a^{3}-3a^{2}+4a\\right){x}^{2}+\\left(2a^{5}+13a^{4}-40a^{3}-41a^{2}+16a+12\\right){x}-31a^{5}+11a^{4}+170a^{3}+109a^{2}-78a-55"
"127.1-h2"	"127.1-h"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[2]	0	"1.2.A.1.1a"	[[1, 1, 0, 0, 0, 0], [3, 0, -1, -4, -1, 1], [-3, 1, 8, -2, -3, 1], [-1914, -3581, 411, 2966, 363, -501], [-34716, -86344, -10366, 77448, 15995, -14651]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}+a-3\\right){y}={x}^{3}+\\left(a^{5}-a^{4}-4a^{3}-a^{2}+3\\right){x}^{2}+\\left(-501a^{5}+363a^{4}+2966a^{3}+411a^{2}-3581a-1914\\right){x}-14651a^{5}+15995a^{4}+77448a^{3}-10366a^{2}-86344a-34716"
"127.1-h3"	"127.1-h"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[2, 4]	0	"1.2.A.1.1a"	[[0, 1, 0, 0, 0, 0], [0, 4, -3, -2, 1, 0], [0, 1, 7, -6, -4, 2], [-8, -4, 14, 0, -7, 2], [-3, -6, -8, 9, 6, -3]]	"{y}^2+a{x}{y}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+a\\right){y}={x}^{3}+\\left(a^{4}-2a^{3}-3a^{2}+4a\\right){x}^{2}+\\left(2a^{5}-7a^{4}+14a^{2}-4a-8\\right){x}-3a^{5}+6a^{4}+9a^{3}-8a^{2}-6a-3"
"127.1-h4"	"127.1-h"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[8]	0	"1.2.A.1.1a"	[[-1, 0, 4, -3, -2, 1], [2, 0, -7, 6, 4, -2], [-3, 1, 11, -5, -5, 2], [0, -3, -6, 15, 6, -4], [6, 2, -36, 21, 18, -8]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}-1\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+a-3\\right){y}={x}^{3}+\\left(-2a^{5}+4a^{4}+6a^{3}-7a^{2}+2\\right){x}^{2}+\\left(-4a^{5}+6a^{4}+15a^{3}-6a^{2}-3a\\right){x}-8a^{5}+18a^{4}+21a^{3}-36a^{2}+2a+6"
"127.1-h5"	"127.1-h"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[2, 2]	0	"1.2.A.1.1a"	[[0, 1, 0, 0, 0, 0], [0, 4, -3, -2, 1, 0], [0, 1, 7, -6, -4, 2], [-108, -24, 69, 40, -27, 2], [-399, -190, 359, 200, -175, 25]]	"{y}^2+a{x}{y}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+a\\right){y}={x}^{3}+\\left(a^{4}-2a^{3}-3a^{2}+4a\\right){x}^{2}+\\left(2a^{5}-27a^{4}+40a^{3}+69a^{2}-24a-108\\right){x}+25a^{5}-175a^{4}+200a^{3}+359a^{2}-190a-399"
"127.1-h6"	"127.1-h"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[2]	0	"1.2.A.1.1a"	[[-3, 1, 12, -5, -5, 2], [-3, -5, 4, 2, -1, 0], [-2, 4, 5, -4, -2, 1], [338, 301, -1649, 267, 651, -202], [3503, 1629, -18378, 8068, 8448, -3412]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}+a-3\\right){x}{y}+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-2\\right){y}={x}^{3}+\\left(-a^{4}+2a^{3}+4a^{2}-5a-3\\right){x}^{2}+\\left(-202a^{5}+651a^{4}+267a^{3}-1649a^{2}+301a+338\\right){x}-3412a^{5}+8448a^{4}+8068a^{3}-18378a^{2}+1629a+3503"
"127.1-i1"	"127.1-i"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	1	[2]	0	"1.2.A.1.1a"	[[-3, 4, 9, -7, -4, 2], [-1, 2, 7, -6, -4, 2], [-1, 5, 8, -7, -4, 2], [20, 205, 132, -211, -74, 47], [877, 3150, 1072, -3006, -822, 616]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+4a-3\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-1\\right){y}={x}^{3}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a-1\\right){x}^{2}+\\left(47a^{5}-74a^{4}-211a^{3}+132a^{2}+205a+20\\right){x}+616a^{5}-822a^{4}-3006a^{3}+1072a^{2}+3150a+877"
"127.1-i2"	"127.1-i"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	1	[2]	0	"1.2.A.1.1a"	[[-4, 1, 12, -5, -5, 2], [-4, -3, 4, 6, 0, -1], [-3, 0, 8, -2, -3, 1], [-13, -35, -4, 41, 10, -8], [23, 84, 34, -72, -21, 15]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}+a-4\\right){x}{y}+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}-3\\right){y}={x}^{3}+\\left(-a^{5}+6a^{3}+4a^{2}-3a-4\\right){x}^{2}+\\left(-8a^{5}+10a^{4}+41a^{3}-4a^{2}-35a-13\\right){x}+15a^{5}-21a^{4}-72a^{3}+34a^{2}+84a+23"
"127.2-a1"	"127.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	1	[2]	0	"1.2.A.1.1a"	[[-2, 4, 12, -10, -6, 3], [-3, -2, 10, -4, -5, 2], [1, 3, -3, -2, 1, 0], [-13, -8, 51, -15, -22, 8], [-10, -2, 38, -13, -16, 6]]	"{y}^2+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-2\\right){x}{y}+\\left(a^{4}-2a^{3}-3a^{2}+3a+1\\right){y}={x}^{3}+\\left(2a^{5}-5a^{4}-4a^{3}+10a^{2}-2a-3\\right){x}^{2}+\\left(8a^{5}-22a^{4}-15a^{3}+51a^{2}-8a-13\\right){x}+6a^{5}-16a^{4}-13a^{3}+38a^{2}-2a-10"
"127.2-a2"	"127.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	1	[2]	0	"1.2.A.1.1a"	[[1, 1, 0, 0, 0, 0], [0, 4, -3, -2, 1, 0], [0, 4, 1, -5, -1, 1], [34, 54, -221, 44, 93, -31], [130, 134, -695, 161, 292, -100]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+4a\\right){y}={x}^{3}+\\left(a^{4}-2a^{3}-3a^{2}+4a\\right){x}^{2}+\\left(-31a^{5}+93a^{4}+44a^{3}-221a^{2}+54a+34\\right){x}-100a^{5}+292a^{4}+161a^{3}-695a^{2}+134a+130"
"127.2-b1"	"127.2-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[]	0	"1.2.A.1.1a"	[[-2, 2, 11, -5, -5, 2], [2, 4, -3, -2, 1, 0], [0, 4, 4, -8, -3, 2], [-115, 76, 268, -138, -101, 43], [407, -253, -961, 471, 370, -154]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+2a-2\\right){x}{y}+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+4a\\right){y}={x}^{3}+\\left(a^{4}-2a^{3}-3a^{2}+4a+2\\right){x}^{2}+\\left(43a^{5}-101a^{4}-138a^{3}+268a^{2}+76a-115\\right){x}-154a^{5}+370a^{4}+471a^{3}-961a^{2}-253a+407"
"127.2-b2"	"127.2-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[]	0	"1.2.A.1.1a"	[[0, 4, 1, -5, -1, 1], [-1, 2, 2, -1, 0, 0], [-3, 2, 15, -8, -7, 3], [-14, -35, 6, 30, 3, -5], [-21, -78, -37, 82, 26, -18]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+4a\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+2a-3\\right){y}={x}^{3}+\\left(-a^{3}+2a^{2}+2a-1\\right){x}^{2}+\\left(-5a^{5}+3a^{4}+30a^{3}+6a^{2}-35a-14\\right){x}-18a^{5}+26a^{4}+82a^{3}-37a^{2}-78a-21"
"127.2-c1"	"127.2-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[]	0	"1.2.A.1.1a"	[[-3, 1, 15, -8, -7, 3], [-3, -1, 12, -5, -5, 2], [1, 5, 0, -5, -1, 1], [-28, -11, 112, -31, -48, 17], [-23, -8, 94, -30, -46, 17]]	"{y}^2+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-3\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+5a+1\\right){y}={x}^{3}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-a-3\\right){x}^{2}+\\left(17a^{5}-48a^{4}-31a^{3}+112a^{2}-11a-28\\right){x}+17a^{5}-46a^{4}-30a^{3}+94a^{2}-8a-23"
"127.2-c2"	"127.2-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[]	0	"1.2.A.1.1a"	[[0, 4, 4, -8, -3, 2], [1, -3, -1, 5, 1, -1], [0, 3, 1, -5, -1, 1], [-34, -45, 138, 23, -44, 7], [-107, -116, 462, 4, -165, 40]]	"{y}^2+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+4a\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+3a\\right){y}={x}^{3}+\\left(-a^{5}+a^{4}+5a^{3}-a^{2}-3a+1\\right){x}^{2}+\\left(7a^{5}-44a^{4}+23a^{3}+138a^{2}-45a-34\\right){x}+40a^{5}-165a^{4}+4a^{3}+462a^{2}-116a-107"
"127.2-d1"	"127.2-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	1	[]	0	"1.2.A.1.1a"	[[-1, 3, 5, -4, -2, 1], [1, 3, -3, -2, 1, 0], [1, 2, 3, -3, -2, 1], [-2, 0, 3, -1, 0, 0], [0, -3, 0, 3, -1, 0]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-1\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+2a+1\\right){y}={x}^{3}+\\left(a^{4}-2a^{3}-3a^{2}+3a+1\\right){x}^{2}+\\left(-a^{3}+3a^{2}-2\\right){x}-a^{4}+3a^{3}-3a"
"127.2-e1"	"127.2-e"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[]	0	"1.2.A.1.1a"	[[-3, 0, 8, -2, -3, 1], [1, -3, -2, 1, 0, 0], [1, 4, 4, -8, -3, 2], [14, 10, -29, 5, 12, -4], [-17, -105, -85, 114, 46, -27]]	"{y}^2+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}-3\\right){x}{y}+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+4a+1\\right){y}={x}^{3}+\\left(a^{3}-2a^{2}-3a+1\\right){x}^{2}+\\left(-4a^{5}+12a^{4}+5a^{3}-29a^{2}+10a+14\\right){x}-27a^{5}+46a^{4}+114a^{3}-85a^{2}-105a-17"
"127.2-e2"	"127.2-e"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[]	0	"1.2.A.1.1a"	[[1, 2, 3, -3, -2, 1], [3, 2, -10, 0, 4, -1], [1, 4, 0, -5, -1, 1], [-18, -65, -26, 65, 20, -14], [338, 1175, 384, -1120, -303, 229]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+2a+1\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+4a+1\\right){y}={x}^{3}+\\left(-a^{5}+4a^{4}-10a^{2}+2a+3\\right){x}^{2}+\\left(-14a^{5}+20a^{4}+65a^{3}-26a^{2}-65a-18\\right){x}+229a^{5}-303a^{4}-1120a^{3}+384a^{2}+1175a+338"
"127.2-f1"	"127.2-f"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[2]	0	"1.2.A.1.1a"	[[0, 0, 4, -3, -2, 1], [-5, -5, 8, 3, -2, 0], [2, 4, 0, -5, -1, 1], [-148, 96, 348, -193, -142, 62], [146, -62, -346, 102, 122, -42]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+4a+2\\right){y}={x}^{3}+\\left(-2a^{4}+3a^{3}+8a^{2}-5a-5\\right){x}^{2}+\\left(62a^{5}-142a^{4}-193a^{3}+348a^{2}+96a-148\\right){x}-42a^{5}+122a^{4}+102a^{3}-346a^{2}-62a+146"
"127.2-f2"	"127.2-f"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[2]	0	"1.2.A.1.1a"	[[1, 2, 3, -3, -2, 1], [0, -3, -4, 4, 2, -1], [0, 5, 4, -8, -3, 2], [-15, 2, 36, -8, -20, 7], [16, -8, -41, 13, 17, -6]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+2a+1\\right){x}{y}+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+4a^{3}-4a^{2}-3a\\right){x}^{2}+\\left(7a^{5}-20a^{4}-8a^{3}+36a^{2}+2a-15\\right){x}-6a^{5}+17a^{4}+13a^{3}-41a^{2}-8a+16"
"127.2-f3"	"127.2-f"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[2]	0	"1.2.A.1.1a"	[[2, 3, -3, -2, 1, 0], [1, 2, -6, 1, 3, -1], [0, 5, 4, -8, -3, 2], [22, 3, -183, 72, 85, -33], [100, 13, -551, 205, 243, -93]]	"{y}^2+\\left(a^{4}-2a^{3}-3a^{2}+3a+2\\right){x}{y}+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a\\right){y}={x}^{3}+\\left(-a^{5}+3a^{4}+a^{3}-6a^{2}+2a+1\\right){x}^{2}+\\left(-33a^{5}+85a^{4}+72a^{3}-183a^{2}+3a+22\\right){x}-93a^{5}+243a^{4}+205a^{3}-551a^{2}+13a+100"
"127.2-f4"	"127.2-f"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[2]	0	"1.2.A.1.1a"	[[1, 4, 1, -5, -1, 1], [2, -4, -8, 7, 4, -2], [-2, 1, 8, -2, -3, 1], [7, -22, -78, 56, 39, -18], [13, -25, -134, 77, 63, -27]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+4a+1\\right){x}{y}+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}+a-2\\right){y}={x}^{3}+\\left(-2a^{5}+4a^{4}+7a^{3}-8a^{2}-4a+2\\right){x}^{2}+\\left(-18a^{5}+39a^{4}+56a^{3}-78a^{2}-22a+7\\right){x}-27a^{5}+63a^{4}+77a^{3}-134a^{2}-25a+13"
"127.2-g1"	"127.2-g"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	1	[]	0	"1.2.A.1.1a"	[[-3, 5, 12, -10, -6, 3], [2, -2, -11, 5, 5, -2], [-1, 3, 5, -4, -2, 1], [-1, -4, 1, 5, 1, -1], [0, -1, -2, 2, 2, -1]]	"{y}^2+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+5a-3\\right){x}{y}+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-1\\right){y}={x}^{3}+\\left(-2a^{5}+5a^{4}+5a^{3}-11a^{2}-2a+2\\right){x}^{2}+\\left(-a^{5}+a^{4}+5a^{3}+a^{2}-4a-1\\right){x}-a^{5}+2a^{4}+2a^{3}-2a^{2}-a"
"127.2-h1"	"127.2-h"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[4]	0	"1.2.A.1.1a"	[[-2, 4, 5, -4, -2, 1], [2, -1, -8, 2, 3, -1], [-4, 1, 15, -8, -7, 3], [-32, 185, 72, -152, -33, 27], [105, -243, 180, 52, -106, 27]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-2\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-4\\right){y}={x}^{3}+\\left(-a^{5}+3a^{4}+2a^{3}-8a^{2}-a+2\\right){x}^{2}+\\left(27a^{5}-33a^{4}-152a^{3}+72a^{2}+185a-32\\right){x}+27a^{5}-106a^{4}+52a^{3}+180a^{2}-243a+105"
"127.2-h2"	"127.2-h"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[2]	0	"1.2.A.1.1a"	[[-1, 4, 5, -4, -2, 1], [-2, -1, 1, 4, 1, -1], [-4, 0, 12, -5, -5, 2], [-254, -82, 774, 104, -652, 189], [-3181, -3089, 13845, 3588, -13397, 3858]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-1\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-4\\right){y}={x}^{3}+\\left(-a^{5}+a^{4}+4a^{3}+a^{2}-a-2\\right){x}^{2}+\\left(189a^{5}-652a^{4}+104a^{3}+774a^{2}-82a-254\\right){x}+3858a^{5}-13397a^{4}+3588a^{3}+13845a^{2}-3089a-3181"
"127.2-h3"	"127.2-h"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[2, 4]	0	"1.2.A.1.1a"	[[-2, 4, 5, -4, -2, 1], [2, -1, -8, 2, 3, -1], [-4, 1, 15, -8, -7, 3], [-12, -20, 2, 18, 2, -3], [2, 12, 10, -15, -7, 4]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-2\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-4\\right){y}={x}^{3}+\\left(-a^{5}+3a^{4}+2a^{3}-8a^{2}-a+2\\right){x}^{2}+\\left(-3a^{5}+2a^{4}+18a^{3}+2a^{2}-20a-12\\right){x}+4a^{5}-7a^{4}-15a^{3}+10a^{2}+12a+2"
"127.2-h4"	"127.2-h"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[8]	0	"1.2.A.1.1a"	[[-2, 4, 5, -4, -2, 1], [2, -1, -8, 2, 3, -1], [-4, 1, 15, -8, -7, 3], [-7, -20, 2, 18, 2, -3], [11, 33, -1, -29, -4, 5]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-2\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-4\\right){y}={x}^{3}+\\left(-a^{5}+3a^{4}+2a^{3}-8a^{2}-a+2\\right){x}^{2}+\\left(-3a^{5}+2a^{4}+18a^{3}+2a^{2}-20a-7\\right){x}+5a^{5}-4a^{4}-29a^{3}-a^{2}+33a+11"
"127.2-h5"	"127.2-h"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[2, 2]	0	"1.2.A.1.1a"	[[-2, 4, 5, -4, -2, 1], [2, -1, -8, 2, 3, -1], [-4, 1, 15, -8, -7, 3], [-72, -225, -68, 188, 37, -33], [-357, -1217, -376, 1094, 240, -203]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-2\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-4\\right){y}={x}^{3}+\\left(-a^{5}+3a^{4}+2a^{3}-8a^{2}-a+2\\right){x}^{2}+\\left(-33a^{5}+37a^{4}+188a^{3}-68a^{2}-225a-72\\right){x}-203a^{5}+240a^{4}+1094a^{3}-376a^{2}-1217a-357"
"127.2-h6"	"127.2-h"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[2]	0	"1.2.A.1.1a"	[[-2, 4, 9, -7, -4, 2], [1, -2, 2, -2, -2, 1], [1, 4, 4, -8, -3, 2], [589, 7, -1837, 318, 642, -194], [1605, -2260, -173, -1771, -1100, 719]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+4a-2\\right){x}{y}+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+4a+1\\right){y}={x}^{3}+\\left(a^{5}-2a^{4}-2a^{3}+2a^{2}-2a+1\\right){x}^{2}+\\left(-194a^{5}+642a^{4}+318a^{3}-1837a^{2}+7a+589\\right){x}+719a^{5}-1100a^{4}-1771a^{3}-173a^{2}-2260a+1605"
"127.2-i1"	"127.2-i"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	1	[2]	0	"1.2.A.1.1a"	[[2, 5, 0, -5, -1, 1], [-1, -3, 3, 2, -1, 0], [-3, 3, 9, -7, -4, 2], [16, 41, -47, -75, 1, 12], [60, 179, -107, -426, -57, 85]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+5a+2\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+3a-3\\right){y}={x}^{3}+\\left(-a^{4}+2a^{3}+3a^{2}-3a-1\\right){x}^{2}+\\left(12a^{5}+a^{4}-75a^{3}-47a^{2}+41a+16\\right){x}+85a^{5}-57a^{4}-426a^{3}-107a^{2}+179a+60"
"127.2-i2"	"127.2-i"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	1	[2]	0	"1.2.A.1.1a"	[[-3, 2, 11, -5, -5, 2], [0, 0, -7, 6, 4, -2], [0, 0, 0, 0, 0, 0], [35, -30, -72, 46, 28, -13], [0, 0, 0, 0, 0, 0]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+2a-3\\right){x}{y}={x}^{3}+\\left(-2a^{5}+4a^{4}+6a^{3}-7a^{2}\\right){x}^{2}+\\left(-13a^{5}+28a^{4}+46a^{3}-72a^{2}-30a+35\\right){x}"
"127.3-a1"	"127.3-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[2]	0	"1.2.A.1.1a"	[[-3, 0, 8, -2, -3, 1], [-2, -1, 4, 1, -1, 0], [-2, 1, 11, -5, -5, 2], [-1125, -3868, -1282, 3684, 999, -753], [-23739, -82653, -27161, 78651, 21262, -16063]]	"{y}^2+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}-3\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+a-2\\right){y}={x}^{3}+\\left(-a^{4}+a^{3}+4a^{2}-a-2\\right){x}^{2}+\\left(-753a^{5}+999a^{4}+3684a^{3}-1282a^{2}-3868a-1125\\right){x}-16063a^{5}+21262a^{4}+78651a^{3}-27161a^{2}-82653a-23739"
"127.3-a2"	"127.3-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[2, 2]	0	"1.2.A.1.1a"	[[2, 5, 0, -5, -1, 1], [5, 4, -8, -3, 2, 0], [-3, 2, 15, -8, -7, 3], [140, 104, -661, 187, 281, -101], [-665, -452, 3264, -966, -1399, 507]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+5a+2\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+2a-3\\right){y}={x}^{3}+\\left(2a^{4}-3a^{3}-8a^{2}+4a+5\\right){x}^{2}+\\left(-101a^{5}+281a^{4}+187a^{3}-661a^{2}+104a+140\\right){x}+507a^{5}-1399a^{4}-966a^{3}+3264a^{2}-452a-665"
"127.3-a3"	"127.3-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[4]	0	"1.2.A.1.1a"	[[-1, 3, 5, -4, -2, 1], [3, 1, -5, -1, 1, 0], [0, 4, 4, -8, -3, 2], [-2, -12, -5, 14, 4, -3], [-3, -14, -10, 9, 4, -2]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-1\\right){x}{y}+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+4a\\right){y}={x}^{3}+\\left(a^{4}-a^{3}-5a^{2}+a+3\\right){x}^{2}+\\left(-3a^{5}+4a^{4}+14a^{3}-5a^{2}-12a-2\\right){x}-2a^{5}+4a^{4}+9a^{3}-10a^{2}-14a-3"
"127.3-a4"	"127.3-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[2]	0	"1.2.A.1.1a"	[[1, 2, 3, -3, -2, 1], [0, 1, -2, 2, 2, -1], [-1, 1, 7, -6, -4, 2], [151, 449, -313, -1048, -141, 212], [2905, 7993, -5572, -18700, -2594, 3812]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+2a+1\\right){x}{y}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+a-1\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+2a^{3}-2a^{2}+a\\right){x}^{2}+\\left(212a^{5}-141a^{4}-1048a^{3}-313a^{2}+449a+151\\right){x}+3812a^{5}-2594a^{4}-18700a^{3}-5572a^{2}+7993a+2905"
"127.4-a1"	"127.4-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[2]	0	"1.2.A.1.1a"	[[-1, 3, 5, -4, -2, 1], [2, -1, -11, 5, 5, -2], [-2, 4, 12, -10, -6, 3], [-88, 91, 144, -104, -69, 31], [223, -130, -626, 391, 201, -93]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-1\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-2\\right){y}={x}^{3}+\\left(-2a^{5}+5a^{4}+5a^{3}-11a^{2}-a+2\\right){x}^{2}+\\left(31a^{5}-69a^{4}-104a^{3}+144a^{2}+91a-88\\right){x}-93a^{5}+201a^{4}+391a^{3}-626a^{2}-130a+223"
"127.4-a2"	"127.4-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[2, 2]	0	"1.2.A.1.1a"	[[-3, 2, 11, -5, -5, 2], [4, 2, -14, 3, 6, -2], [-3, 5, 12, -10, -6, 3], [7, 73, -12, -181, -36, 39], [-161, -340, 312, 798, 91, -159]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+2a-3\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+5a-3\\right){y}={x}^{3}+\\left(-2a^{5}+6a^{4}+3a^{3}-14a^{2}+2a+4\\right){x}^{2}+\\left(39a^{5}-36a^{4}-181a^{3}-12a^{2}+73a+7\\right){x}-159a^{5}+91a^{4}+798a^{3}+312a^{2}-340a-161"
"127.4-a3"	"127.4-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[4]	0	"1.2.A.1.1a"	[[-1, 3, 5, -4, -2, 1], [2, -1, -11, 5, 5, -2], [-2, 4, 12, -10, -6, 3], [-3, -4, 9, 1, -4, 1], [-5, 5, 6, -6, -4, 2]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-1\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-2\\right){y}={x}^{3}+\\left(-2a^{5}+5a^{4}+5a^{3}-11a^{2}-a+2\\right){x}^{2}+\\left(a^{5}-4a^{4}+a^{3}+9a^{2}-4a-3\\right){x}+2a^{5}-4a^{4}-6a^{3}+6a^{2}+5a-5"
"127.4-a4"	"127.4-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	127	0	[2]	0	"1.2.A.1.1a"	[[-3, 1, 12, -5, -5, 2], [4, -5, -12, 10, 6, -3], [-4, 0, 12, -5, -5, 2], [33, 158, -31, -89, -11, 15], [-69, 1, -228, 205, 45, -34]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}+a-3\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-4\\right){y}={x}^{3}+\\left(-3a^{5}+6a^{4}+10a^{3}-12a^{2}-5a+4\\right){x}^{2}+\\left(15a^{5}-11a^{4}-89a^{3}-31a^{2}+158a+33\\right){x}-34a^{5}+45a^{4}+205a^{3}-228a^{2}+a-69"
"167.1-a1"	"167.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	167	1	[]	0	"1.2.A.1.1a"	[[-3, 0, 12, -5, -5, 2], [2, -3, -8, 7, 4, -2], [-2, 0, 8, -2, -3, 1], [-13, 6, 28, -7, -9, 3], [7, -8, -11, 9, 4, -2]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-3\\right){x}{y}+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}-2\\right){y}={x}^{3}+\\left(-2a^{5}+4a^{4}+7a^{3}-8a^{2}-3a+2\\right){x}^{2}+\\left(3a^{5}-9a^{4}-7a^{3}+28a^{2}+6a-13\\right){x}-2a^{5}+4a^{4}+9a^{3}-11a^{2}-8a+7"
"167.1-b1"	"167.1-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	167	1	[]	0	"1.2.A.1.1a"	[[1, 5, 4, -8, -3, 2], [-2, 1, 8, -2, -3, 1], [-3, 2, 15, -8, -7, 3], [6, 19, 7, -7, -2, 1], [22, 73, 20, -54, -13, 10]]	"{y}^2+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a+1\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+2a-3\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}+a-2\\right){x}^{2}+\\left(a^{5}-2a^{4}-7a^{3}+7a^{2}+19a+6\\right){x}+10a^{5}-13a^{4}-54a^{3}+20a^{2}+73a+22"
"167.1-c1"	"167.1-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	167	1	[]	0	"1.2.A.1.1a"	[[1, 0, 0, 0, 0, 0], [1, -3, -5, 4, 2, -1], [-2, 3, 9, -7, -4, 2], [2, -1, -6, 4, 2, -1], [0, 1, -2, -2, 1, 0]]	"{y}^2+{x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+3a-2\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+4a^{3}-5a^{2}-3a+1\\right){x}^{2}+\\left(-a^{5}+2a^{4}+4a^{3}-6a^{2}-a+2\\right){x}+a^{4}-2a^{3}-2a^{2}+a"
"167.1-d1"	"167.1-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	167	1	[]	0	"1.2.A.1.1a"	[[-4, 2, 15, -8, -7, 3], [2, 1, -4, -1, 1, 0], [-2, 3, 9, -7, -4, 2], [29, 100, 23, -93, -21, 18], [68, 243, 83, -233, -64, 48]]	"{y}^2+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+2a-4\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+3a-2\\right){y}={x}^{3}+\\left(a^{4}-a^{3}-4a^{2}+a+2\\right){x}^{2}+\\left(18a^{5}-21a^{4}-93a^{3}+23a^{2}+100a+29\\right){x}+48a^{5}-64a^{4}-233a^{3}+83a^{2}+243a+68"
"167.1-d2"	"167.1-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	167	1	[]	0	"1.2.A.1.1a"	[[0, 3, 1, -5, -1, 1], [3, 1, -14, 3, 6, -2], [0, 0, 0, 0, 0, 0], [-10, 1, 32, -11, -13, 5], [5, -3, -13, 9, 2, -1]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+3a\\right){x}{y}={x}^{3}+\\left(-2a^{5}+6a^{4}+3a^{3}-14a^{2}+a+3\\right){x}^{2}+\\left(5a^{5}-13a^{4}-11a^{3}+32a^{2}+a-10\\right){x}-a^{5}+2a^{4}+9a^{3}-13a^{2}-3a+5"
"167.1-e1"	"167.1-e"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	167	1	[]	0	"1.2.A.1.1a"	[[-3, 0, 8, -2, -3, 1], [-3, 5, 12, -10, -6, 3], [-1, 2, 7, -6, -4, 2], [1, -1, -1, 5, 1, -1], [1, 3, -5, -4, 2, 0]]	"{y}^2+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}-3\\right){x}{y}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a-1\\right){y}={x}^{3}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+5a-3\\right){x}^{2}+\\left(-a^{5}+a^{4}+5a^{3}-a^{2}-a+1\\right){x}+2a^{4}-4a^{3}-5a^{2}+3a+1"
"167.2-a1"	"167.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	167	1	[]	0	"1.2.A.1.1a"	[[2, 4, 0, -5, -1, 1], [3, 4, -8, -3, 2, 0], [0, 1, 4, -3, -2, 1], [-18, -58, -9, 53, 11, -10], [-64, -230, -89, 224, 65, -47]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+4a+2\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}+a\\right){y}={x}^{3}+\\left(2a^{4}-3a^{3}-8a^{2}+4a+3\\right){x}^{2}+\\left(-10a^{5}+11a^{4}+53a^{3}-9a^{2}-58a-18\\right){x}-47a^{5}+65a^{4}+224a^{3}-89a^{2}-230a-64"
"167.2-b1"	"167.2-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	167	1	[]	0	"1.2.A.1.1a"	[[-1, 1, 4, -3, -2, 1], [-4, -3, 14, -3, -6, 2], [0, 2, 3, -3, -2, 1], [-6, -3, 33, -14, -15, 6], [-9, -4, 43, -18, -20, 8]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}+a-1\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+2a\\right){y}={x}^{3}+\\left(2a^{5}-6a^{4}-3a^{3}+14a^{2}-3a-4\\right){x}^{2}+\\left(6a^{5}-15a^{4}-14a^{3}+33a^{2}-3a-6\\right){x}+8a^{5}-20a^{4}-18a^{3}+43a^{2}-4a-9"
"167.2-c1"	"167.2-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	167	1	[]	0	"1.2.A.1.1a"	[[1, 0, 0, 0, 0, 0], [1, -3, -5, 4, 2, -1], [1, 3, 1, -5, -1, 1], [-1, -8, -5, 9, 3, -2], [4, 9, -4, -7, 0, 1]]	"{y}^2+{x}{y}+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+3a+1\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+4a^{3}-5a^{2}-3a+1\\right){x}^{2}+\\left(-2a^{5}+3a^{4}+9a^{3}-5a^{2}-8a-1\\right){x}+a^{5}-7a^{3}-4a^{2}+9a+4"
"167.2-d1"	"167.2-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	167	1	[]	0	"1.2.A.1.1a"	[[-2, 4, 8, -7, -4, 2], [0, 4, 0, -5, -1, 1], [-3, 3, 9, -7, -4, 2], [-4, 7, 10, -13, -5, 3], [-2, -4, 4, 10, 1, -2]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+4a-2\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+3a-3\\right){y}={x}^{3}+\\left(a^{5}-a^{4}-5a^{3}+4a\\right){x}^{2}+\\left(3a^{5}-5a^{4}-13a^{3}+10a^{2}+7a-4\\right){x}-2a^{5}+a^{4}+10a^{3}+4a^{2}-4a-2"
"167.2-d2"	"167.2-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	167	1	[]	0	"1.2.A.1.1a"	[[0, 1, 7, -6, -4, 2], [2, 1, -1, 0, 0, 0], [-1, 0, 4, -3, -2, 1], [-10, -37, -4, 33, 6, -6], [-38, -115, 0, 95, 13, -16]]	"{y}^2+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+a\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}-1\\right){y}={x}^{3}+\\left(-a^{2}+a+2\\right){x}^{2}+\\left(-6a^{5}+6a^{4}+33a^{3}-4a^{2}-37a-10\\right){x}-16a^{5}+13a^{4}+95a^{3}-115a-38"
"167.2-e1"	"167.2-e"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	167	1	[]	0	"1.2.A.1.1a"	[[-3, 0, 8, -2, -3, 1], [3, -2, -15, 8, 7, -3], [1, 5, 4, -8, -3, 2], [-2, -7, 7, 4, -2, 0], [5, 11, -7, -9, 1, 1]]	"{y}^2+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}-3\\right){x}{y}+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a+1\\right){y}={x}^{3}+\\left(-3a^{5}+7a^{4}+8a^{3}-15a^{2}-2a+3\\right){x}^{2}+\\left(-2a^{4}+4a^{3}+7a^{2}-7a-2\\right){x}+a^{5}+a^{4}-9a^{3}-7a^{2}+11a+5"
"169.1-a1"	"169.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	169	1	[]	0	"1.2.A.1.1a"	[[-3, 2, 11, -5, -5, 2], [2, 0, -5, -1, 1, 0], [1, 4, -3, -2, 1, 0], [-14, -50, -11, 50, 12, -10], [31, 104, 28, -100, -25, 20]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+2a-3\\right){x}{y}+\\left(a^{4}-2a^{3}-3a^{2}+4a+1\\right){y}={x}^{3}+\\left(a^{4}-a^{3}-5a^{2}+2\\right){x}^{2}+\\left(-10a^{5}+12a^{4}+50a^{3}-11a^{2}-50a-14\\right){x}+20a^{5}-25a^{4}-100a^{3}+28a^{2}+104a+31"
"169.1-b1"	"169.1-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	169	1	[]	0	"1.2.A.1.1a"	[[-2, 2, 11, -5, -5, 2], [-1, -5, 0, 5, 1, -1], [1, 4, 4, -8, -3, 2], [0, -4, -4, 8, 3, -2], [1, 0, -7, 0, 1, 0]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+2a-2\\right){x}{y}+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+4a+1\\right){y}={x}^{3}+\\left(-a^{5}+a^{4}+5a^{3}-5a-1\\right){x}^{2}+\\left(-2a^{5}+3a^{4}+8a^{3}-4a^{2}-4a\\right){x}+a^{4}-7a^{2}+1"
"169.1-b2"	"169.1-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	169	1	[]	0	"1.2.A.1.1a"	[[-1, 0, 4, -3, -2, 1], [-2, -1, 1, 4, 1, -1], [-3, 1, 15, -8, -7, 3], [-6, -9, 26, 6, -8, 1], [-6, -8, 22, 8, -6, 0]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}-1\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-3\\right){y}={x}^{3}+\\left(-a^{5}+a^{4}+4a^{3}+a^{2}-a-2\\right){x}^{2}+\\left(a^{5}-8a^{4}+6a^{3}+26a^{2}-9a-6\\right){x}-6a^{4}+8a^{3}+22a^{2}-8a-6"
"169.1-c1"	"169.1-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	169	1	[]	0	"1.2.A.1.1a"	[[1, 1, 0, 0, 0, 0], [2, 1, -1, -4, -1, 1], [-3, 3, 9, -7, -4, 2], [25, -19, -58, 37, 24, -11], [47, -27, -111, 51, 42, -17]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+3a-3\\right){y}={x}^{3}+\\left(a^{5}-a^{4}-4a^{3}-a^{2}+a+2\\right){x}^{2}+\\left(-11a^{5}+24a^{4}+37a^{3}-58a^{2}-19a+25\\right){x}-17a^{5}+42a^{4}+51a^{3}-111a^{2}-27a+47"
"169.1-d1"	"169.1-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	169	1	[]	0	"1.2.A.1.1a"	[[1, 5, 0, -5, -1, 1], [-2, 2, 11, -5, -5, 2], [-3, 4, 12, -10, -6, 3], [-4, -4, 11, -4, -5, 2], [-3, -9, -5, 5, 2, -1]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+5a+1\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-3\\right){y}={x}^{3}+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+2a-2\\right){x}^{2}+\\left(2a^{5}-5a^{4}-4a^{3}+11a^{2}-4a-4\\right){x}-a^{5}+2a^{4}+5a^{3}-5a^{2}-9a-3"
"169.1-d2"	"169.1-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	169	1	[]	0	"1.2.A.1.1a"	[[-4, 0, 12, -5, -5, 2], [3, 1, -1, -4, -1, 1], [-2, 4, 9, -7, -4, 2], [1, -9, 6, 13, 0, -2], [-15, 7, 38, -21, -16, 7]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-4\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+4a-2\\right){y}={x}^{3}+\\left(a^{5}-a^{4}-4a^{3}-a^{2}+a+3\\right){x}^{2}+\\left(-2a^{5}+13a^{3}+6a^{2}-9a+1\\right){x}+7a^{5}-16a^{4}-21a^{3}+38a^{2}+7a-15"
"169.2-a1"	"169.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	169	0	[]	0	"1.2.A.1.1a"	[[-2, 4, 12, -10, -6, 3], [1, 1, -1, 0, 0, 0], [0, 1, 3, -3, -2, 1], [198, 281, -766, -278, 199, -1], [1910, 3327, -6454, -4943, 1078, 576]]	"{y}^2+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-2\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a\\right){y}={x}^{3}+\\left(-a^{2}+a+1\\right){x}^{2}+\\left(-a^{5}+199a^{4}-278a^{3}-766a^{2}+281a+198\\right){x}+576a^{5}+1078a^{4}-4943a^{3}-6454a^{2}+3327a+1910"
"169.2-a2"	"169.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	169	0	[5]	0	"1.2.A.1.1a"	[[0, 0, 4, -3, -2, 1], [1, 1, 3, -3, -2, 1], [-1, 0, 4, -3, -2, 1], [10, -6, -16, 7, 5, -2], [3, -3, -2, 1, 0, 0]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}-1\\right){y}={x}^{3}+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a+1\\right){x}^{2}+\\left(-2a^{5}+5a^{4}+7a^{3}-16a^{2}-6a+10\\right){x}+a^{3}-2a^{2}-3a+3"
"169.4-a1"	"169.4-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	169	1	[]	0	"1.2.A.1.1a"	[[1, 4, 4, -8, -3, 2], [-1, 4, 4, -4, -2, 1], [0, 4, 1, -5, -1, 1], [1, -3, -3, 12, 4, -3], [-21, -18, 96, -12, -37, 11]]	"{y}^2+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+4a+1\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+4a\\right){y}={x}^{3}+\\left(a^{5}-2a^{4}-4a^{3}+4a^{2}+4a-1\\right){x}^{2}+\\left(-3a^{5}+4a^{4}+12a^{3}-3a^{2}-3a+1\\right){x}+11a^{5}-37a^{4}-12a^{3}+96a^{2}-18a-21"
"169.4-b1"	"169.4-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	169	0	[]	0	"1.2.A.1.1a"	[[-2, 4, 9, -7, -4, 2], [-3, 0, 7, -2, -3, 1], [-2, 4, 12, -10, -6, 3], [-4472, 2133, 10398, -3478, -5031, 1677], [-110958, 54889, 297677, -126786, -153507, 69075]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+4a-2\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-2\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-2a^{3}+7a^{2}-3\\right){x}^{2}+\\left(1677a^{5}-5031a^{4}-3478a^{3}+10398a^{2}+2133a-4472\\right){x}+69075a^{5}-153507a^{4}-126786a^{3}+297677a^{2}+54889a-110958"
"169.4-b2"	"169.4-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	169	0	[]	0	"1.2.A.1.1a"	[[0, 4, 4, -8, -3, 2], [-1, -4, -4, 8, 3, -2], [1, 1, 3, -3, -2, 1], [-1453, 235, 2641, -189, -1847, 572], [-34732, -1842, 132077, -21658, -85428, 29062]]	"{y}^2+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+4a\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a+1\\right){y}={x}^{3}+\\left(-2a^{5}+3a^{4}+8a^{3}-4a^{2}-4a-1\\right){x}^{2}+\\left(572a^{5}-1847a^{4}-189a^{3}+2641a^{2}+235a-1453\\right){x}+29062a^{5}-85428a^{4}-21658a^{3}+132077a^{2}-1842a-34732"
"169.4-b3"	"169.4-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	169	0	[]	0	"1.2.A.1.1a"	[[0, 1, 7, -6, -4, 2], [2, -2, -1, 1, 0, 0], [-3, 4, 9, -7, -4, 2], [-6, -6, 31, -7, -14, 5], [-23, 9, 64, -29, -24, 10]]	"{y}^2+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+a\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+4a-3\\right){y}={x}^{3}+\\left(a^{3}-a^{2}-2a+2\\right){x}^{2}+\\left(5a^{5}-14a^{4}-7a^{3}+31a^{2}-6a-6\\right){x}+10a^{5}-24a^{4}-29a^{3}+64a^{2}+9a-23"
"169.4-b4"	"169.4-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	169	0	[]	0	"1.2.A.1.1a"	[[0, 0, 4, -3, -2, 1], [-5, -1, 12, -5, -5, 2], [0, 0, 4, -3, -2, 1], [8, -4, -18, 9, 7, -3], [24, -11, -64, 28, 25, -10]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}\\right){y}={x}^{3}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-a-5\\right){x}^{2}+\\left(-3a^{5}+7a^{4}+9a^{3}-18a^{2}-4a+8\\right){x}-10a^{5}+25a^{4}+28a^{3}-64a^{2}-11a+24"
"169.4-c1"	"169.4-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	169	1	[]	0	"1.2.A.1.1a"	[[-4, 1, 12, -5, -5, 2], [-4, -2, 15, -3, -6, 2], [0, 4, 4, -8, -3, 2], [-13, -26, 21, 13, -6, 0], [-20, -61, -6, 47, 8, -8]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}+a-4\\right){x}{y}+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+4a\\right){y}={x}^{3}+\\left(2a^{5}-6a^{4}-3a^{3}+15a^{2}-2a-4\\right){x}^{2}+\\left(-6a^{4}+13a^{3}+21a^{2}-26a-13\\right){x}-8a^{5}+8a^{4}+47a^{3}-6a^{2}-61a-20"
"169.5-a1"	"169.5-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	169	1	[]	0	"1.2.A.1.1a"	[[1, 3, 1, -5, -1, 1], [-4, -5, 8, 3, -2, 0], [0, 2, 7, -6, -4, 2], [-1, -4, 2, 8, 2, -2], [-1, -5, -3, 12, 4, -3]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+3a+1\\right){x}{y}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a\\right){y}={x}^{3}+\\left(-2a^{4}+3a^{3}+8a^{2}-5a-4\\right){x}^{2}+\\left(-2a^{5}+2a^{4}+8a^{3}+2a^{2}-4a-1\\right){x}-3a^{5}+4a^{4}+12a^{3}-3a^{2}-5a-1"
"169.5-b1"	"169.5-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	169	0	[]	0	"1.2.A.1.1a"	[[-2, 4, 12, -10, -6, 3], [5, 1, -14, 3, 6, -2], [-2, 4, 9, -7, -4, 2], [-5598, -8360, 2268, 6458, 363, -988], [-59295, -410935, -233591, 423237, 141197, -93198]]	"{y}^2+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-2\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+4a-2\\right){y}={x}^{3}+\\left(-2a^{5}+6a^{4}+3a^{3}-14a^{2}+a+5\\right){x}^{2}+\\left(-988a^{5}+363a^{4}+6458a^{3}+2268a^{2}-8360a-5598\\right){x}-93198a^{5}+141197a^{4}+423237a^{3}-233591a^{2}-410935a-59295"
"169.5-b2"	"169.5-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	169	0	[]	0	"1.2.A.1.1a"	[[-2, 3, 9, -7, -4, 2], [0, -4, 0, 5, 1, -1], [-1, 1, 4, -3, -2, 1], [-8423, -26598, -9642, 22822, 6477, -4615], [-502392, -1762650, -528206, 1749388, 457061, -357233]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+3a-2\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}+a-1\\right){y}={x}^{3}+\\left(-a^{5}+a^{4}+5a^{3}-4a\\right){x}^{2}+\\left(-4615a^{5}+6477a^{4}+22822a^{3}-9642a^{2}-26598a-8423\\right){x}-357233a^{5}+457061a^{4}+1749388a^{3}-528206a^{2}-1762650a-502392"
"169.5-b3"	"169.5-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	169	0	[]	0	"1.2.A.1.1a"	[[-2, 4, 12, -10, -6, 3], [5, 1, -14, 3, 6, -2], [-2, 4, 9, -7, -4, 2], [7, 10, -17, -17, 3, 2], [14, 38, -26, -85, -11, 17]]	"{y}^2+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-2\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+4a-2\\right){y}={x}^{3}+\\left(-2a^{5}+6a^{4}+3a^{3}-14a^{2}+a+5\\right){x}^{2}+\\left(2a^{5}+3a^{4}-17a^{3}-17a^{2}+10a+7\\right){x}+17a^{5}-11a^{4}-85a^{3}-26a^{2}+38a+14"
"169.5-b4"	"169.5-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	169	0	[]	0	"1.2.A.1.1a"	[[-4, 1, 15, -8, -7, 3], [3, 2, -7, 1, 3, -1], [-2, 4, 5, -4, -2, 1], [-7, -13, 12, 10, -2, -1], [0, 6, 5, -5, -2, 1]]	"{y}^2+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-4\\right){x}{y}+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-2\\right){y}={x}^{3}+\\left(-a^{5}+3a^{4}+a^{3}-7a^{2}+2a+3\\right){x}^{2}+\\left(-a^{5}-2a^{4}+10a^{3}+12a^{2}-13a-7\\right){x}+a^{5}-2a^{4}-5a^{3}+5a^{2}+6a"
"169.5-c1"	"169.5-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	169	1	[]	0	"1.2.A.1.1a"	[[2, 4, 0, -5, -1, 1], [4, 2, -18, 6, 8, -3], [-4, 1, 15, -8, -7, 3], [-5, -3, 34, -12, -16, 6], [6, 8, -33, 8, 12, -4]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+4a+2\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-4\\right){y}={x}^{3}+\\left(-3a^{5}+8a^{4}+6a^{3}-18a^{2}+2a+4\\right){x}^{2}+\\left(6a^{5}-16a^{4}-12a^{3}+34a^{2}-3a-5\\right){x}-4a^{5}+12a^{4}+8a^{3}-33a^{2}+8a+6"
"181.1-a1"	"181.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	181	"0 \\le r \\le 1"	[]	0	"1.2.A.1.1a"	[[1, 0, 0, 0, 0, 0], [2, -3, -5, 4, 2, -1], [1, 3, -3, -2, 1, 0], [-263, 12, 500, -136, -188, 64], [1743, -1626, -4526, 2622, 1765, -769]]	"{y}^2+{x}{y}+\\left(a^{4}-2a^{3}-3a^{2}+3a+1\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+4a^{3}-5a^{2}-3a+2\\right){x}^{2}+\\left(64a^{5}-188a^{4}-136a^{3}+500a^{2}+12a-263\\right){x}-769a^{5}+1765a^{4}+2622a^{3}-4526a^{2}-1626a+1743"
"181.1-a2"	"181.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	181	"0 \\le r \\le 1"	[3]	0	"1.2.A.1.1a"	[[1, 3, -3, -2, 1, 0], [-1, -3, 3, 2, -1, 0], [-1, 3, 5, -4, -2, 1], [-14, 0, 32, -8, -12, 4], [9, -9, -23, 14, 9, -4]]	"{y}^2+\\left(a^{4}-2a^{3}-3a^{2}+3a+1\\right){x}{y}+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-1\\right){y}={x}^{3}+\\left(-a^{4}+2a^{3}+3a^{2}-3a-1\\right){x}^{2}+\\left(4a^{5}-12a^{4}-8a^{3}+32a^{2}-14\\right){x}-4a^{5}+9a^{4}+14a^{3}-23a^{2}-9a+9"
"181.1-b1"	"181.1-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	181	1	[]	0	"1.2.A.1.1a"	[[1, 3, -3, -2, 1, 0], [-2, -3, 3, 2, -1, 0], [2, 3, -3, -2, 1, 0], [-23, 183, 145, -204, -62, 41], [-161, 228, 388, -306, -155, 77]]	"{y}^2+\\left(a^{4}-2a^{3}-3a^{2}+3a+1\\right){x}{y}+\\left(a^{4}-2a^{3}-3a^{2}+3a+2\\right){y}={x}^{3}+\\left(-a^{4}+2a^{3}+3a^{2}-3a-2\\right){x}^{2}+\\left(41a^{5}-62a^{4}-204a^{3}+145a^{2}+183a-23\\right){x}+77a^{5}-155a^{4}-306a^{3}+388a^{2}+228a-161"
"181.1-b2"	"181.1-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	181	1	[5]	0	"1.2.A.1.1a"	[[-2, 0, 8, -2, -3, 1], [-3, 0, 8, -2, -3, 1], [-1, 3, 5, -4, -2, 1], [-1, -3, 3, 2, -1, 0], [-3, 0, 8, -2, -3, 1]]	"{y}^2+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}-2\\right){x}{y}+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-1\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}-3\\right){x}^{2}+\\left(-a^{4}+2a^{3}+3a^{2}-3a-1\\right){x}+a^{5}-3a^{4}-2a^{3}+8a^{2}-3"
"211.1-a1"	"211.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	211	0	[]	0	"1.2.A.1.1a"	[[0, 3, 1, -5, -1, 1], [-1, -1, -7, 6, 4, -2], [1, 4, -3, -2, 1, 0], [7, -27, -106, 76, 53, -25], [-45, 14, 487, -215, -223, 89]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+3a\\right){x}{y}+\\left(a^{4}-2a^{3}-3a^{2}+4a+1\\right){y}={x}^3+\\left(-2a^{5}+4a^{4}+6a^{3}-7a^{2}-a-1\\right){x}^2+\\left(-25a^{5}+53a^{4}+76a^{3}-106a^{2}-27a+7\\right){x}+89a^{5}-223a^{4}-215a^{3}+487a^{2}+14a-45"
"211.2-a1"	"211.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	211	0	[]	0	"1.2.A.1.1a"	[[-1, 3, 9, -7, -4, 2], [-3, 5, 3, -6, -1, 1], [3, 4, 0, -5, -1, 1], [-13, 19, 19, -39, -15, 10], [-38, -42, 70, 101, 5, -19]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+3a-1\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+4a+3\\right){y}={x}^3+\\left(a^{5}-a^{4}-6a^{3}+3a^{2}+5a-3\\right){x}^2+\\left(10a^{5}-15a^{4}-39a^{3}+19a^{2}+19a-13\\right){x}-19a^{5}+5a^{4}+101a^{3}+70a^{2}-42a-38"
"211.3-a1"	"211.3-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	211	1	[]	0	"1.2.A.1.1a"	[[-3, 3, 9, -7, -4, 2], [5, 2, -15, 3, 6, -2], [0, 4, 1, -5, -1, 1], [0, -12, -2, 7, 1, -1], [0, -18, -18, 20, 9, -5]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+3a-3\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+4a\\right){y}={x}^{3}+\\left(-2a^{5}+6a^{4}+3a^{3}-15a^{2}+2a+5\\right){x}^{2}+\\left(-a^{5}+a^{4}+7a^{3}-2a^{2}-12a\\right){x}-5a^{5}+9a^{4}+20a^{3}-18a^{2}-18a"
"211.3-b1"	"211.3-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	211	0	[]	0	"1.2.A.1.1a"	[[1, 5, 4, -8, -3, 2], [3, 5, -8, -3, 2, 0], [-3, 4, 9, -7, -4, 2], [-4, 5, 10, -11, -5, 3], [-6, 5, 14, -10, -6, 3]]	"{y}^2+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a+1\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+4a-3\\right){y}={x}^{3}+\\left(2a^{4}-3a^{3}-8a^{2}+5a+3\\right){x}^{2}+\\left(3a^{5}-5a^{4}-11a^{3}+10a^{2}+5a-4\\right){x}+3a^{5}-6a^{4}-10a^{3}+14a^{2}+5a-6"
"211.4-a1"	"211.4-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	211	1	[]	0	"1.2.A.1.1a"	[[0, 3, 1, -5, -1, 1], [-3, -1, 10, 0, -4, 1], [0, 4, 4, -8, -3, 2], [-3, -7, 8, 12, 0, -2], [-4, -10, 8, 21, 2, -4]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+3a\\right){x}{y}+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+4a\\right){y}={x}^{3}+\\left(a^{5}-4a^{4}+10a^{2}-a-3\\right){x}^{2}+\\left(-2a^{5}+12a^{3}+8a^{2}-7a-3\\right){x}-4a^{5}+2a^{4}+21a^{3}+8a^{2}-10a-4"
"211.4-b1"	"211.4-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	211	0	[]	0	"1.2.A.1.1a"	[[-1, 2, 7, -6, -4, 2], [-2, -3, 3, 2, -1, 0], [0, 3, 1, -5, -1, 1], [11, -6, -28, 12, 10, -4], [-14, 13, 27, -20, -10, 5]]	"{y}^2+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a-1\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+3a\\right){y}={x}^{3}+\\left(-a^{4}+2a^{3}+3a^{2}-3a-2\\right){x}^{2}+\\left(-4a^{5}+10a^{4}+12a^{3}-28a^{2}-6a+11\\right){x}+5a^{5}-10a^{4}-20a^{3}+27a^{2}+13a-14"
"239.1-a1"	"239.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	0	[5]	0	"1.2.A.1.1a"	[[-3, 1, 11, -5, -5, 2], [-3, 3, 8, -7, -4, 2], [1, 4, -3, -2, 1, 0], [-10, 9, 29, -25, -16, 8], [7, -35, -27, 81, 28, -20]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+a-3\\right){x}{y}+\\left(a^{4}-2a^{3}-3a^{2}+4a+1\\right){y}={x}^{3}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+3a-3\\right){x}^{2}+\\left(8a^{5}-16a^{4}-25a^{3}+29a^{2}+9a-10\\right){x}-20a^{5}+28a^{4}+81a^{3}-27a^{2}-35a+7"
"239.1-a2"	"239.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	0	[]	0	"1.2.A.1.1a"	[[-2, 3, 5, -4, -2, 1], [-3, 0, 12, -5, -5, 2], [-1, 0, 4, -3, -2, 1], [233, 218, -1179, 89, 438, -121], [2582, 2482, -11845, 778, 4389, -1203]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-2\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}-1\\right){y}={x}^{3}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-3\\right){x}^{2}+\\left(-121a^{5}+438a^{4}+89a^{3}-1179a^{2}+218a+233\\right){x}-1203a^{5}+4389a^{4}+778a^{3}-11845a^{2}+2482a+2582"
"239.1-a3"	"239.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	0	[5]	0	"1.2.A.1.1a"	[[-2, 3, 5, -4, -2, 1], [-3, 0, 12, -5, -5, 2], [-1, 0, 4, -3, -2, 1], [-12, -7, 31, -6, -12, 4], [2, -2, 7, 7, -1, -1]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-2\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}-1\\right){y}={x}^{3}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-3\\right){x}^{2}+\\left(4a^{5}-12a^{4}-6a^{3}+31a^{2}-7a-12\\right){x}-a^{5}-a^{4}+7a^{3}+7a^{2}-2a+2"
"239.1-a4"	"239.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	0	[]	0	"1.2.A.1.1a"	[[0, 3, 1, -5, -1, 1], [-3, -3, 14, -3, -6, 2], [-4, 1, 12, -5, -5, 2], [51, -1, -556, 445, 327, -158], [1185, 748, -6613, 2548, 3218, -1134]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+3a\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}+a-4\\right){y}={x}^{3}+\\left(2a^{5}-6a^{4}-3a^{3}+14a^{2}-3a-3\\right){x}^{2}+\\left(-158a^{5}+327a^{4}+445a^{3}-556a^{2}-a+51\\right){x}-1134a^{5}+3218a^{4}+2548a^{3}-6613a^{2}+748a+1185"
"239.1-b1"	"239.1-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	1	[]	0	"1.2.A.1.1a"	[[-3, 4, 9, -7, -4, 2], [4, 1, -8, 2, 3, -1], [-3, 4, 9, -7, -4, 2], [0, -10, -5, 10, 3, -2], [-18, -60, 27, 150, 27, -32]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+4a-3\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+4a-3\\right){y}={x}^{3}+\\left(-a^{5}+3a^{4}+2a^{3}-8a^{2}+a+4\\right){x}^{2}+\\left(-2a^{5}+3a^{4}+10a^{3}-5a^{2}-10a\\right){x}-32a^{5}+27a^{4}+150a^{3}+27a^{2}-60a-18"
"239.1-c1"	"239.1-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	1	[]	0	"1.2.A.1.1a"	[[0, 1, 3, -3, -2, 1], [2, 1, -4, 3, 2, -1], [0, 1, 7, -6, -4, 2], [4, 19, -9, -39, -6, 8], [35, 100, -72, -228, -30, 46]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a\\right){x}{y}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+a\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+3a^{3}-4a^{2}+a+2\\right){x}^{2}+\\left(8a^{5}-6a^{4}-39a^{3}-9a^{2}+19a+4\\right){x}+46a^{5}-30a^{4}-228a^{3}-72a^{2}+100a+35"
"239.1-d1"	"239.1-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	1	[2]	0	"1.2.A.1.1a"	[[2, 4, -3, -2, 1, 0], [-1, -2, 6, -1, -3, 1], [-2, 4, 8, -7, -4, 2], [-10, -10, 41, -10, -17, 6], [-15, -12, 62, -15, -26, 9]]	"{y}^2+\\left(a^{4}-2a^{3}-3a^{2}+4a+2\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+4a-2\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-a^{3}+6a^{2}-2a-1\\right){x}^{2}+\\left(6a^{5}-17a^{4}-10a^{3}+41a^{2}-10a-10\\right){x}+9a^{5}-26a^{4}-15a^{3}+62a^{2}-12a-15"
"239.1-d2"	"239.1-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	1	[2]	0	"1.2.A.1.1a"	[[0, 1, 0, 0, 0, 0], [-3, 0, 11, -5, -5, 2], [0, 4, 1, -5, -1, 1], [38, 131, 42, -123, -33, 25], [54, 189, 62, -181, -49, 37]]	"{y}^2+a{x}{y}+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+4a\\right){y}={x}^{3}+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}-3\\right){x}^{2}+\\left(25a^{5}-33a^{4}-123a^{3}+42a^{2}+131a+38\\right){x}+37a^{5}-49a^{4}-181a^{3}+62a^{2}+189a+54"
"239.1-d3"	"239.1-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	1	[2]	0	"1.2.A.1.1a"	[[2, 4, -3, -2, 1, 0], [-1, -2, 6, -1, -3, 1], [-2, 4, 8, -7, -4, 2], [15, -25, -149, 60, 63, -24], [-53, -182, -47, 226, 58, -48]]	"{y}^2+\\left(a^{4}-2a^{3}-3a^{2}+4a+2\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+4a-2\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-a^{3}+6a^{2}-2a-1\\right){x}^{2}+\\left(-24a^{5}+63a^{4}+60a^{3}-149a^{2}-25a+15\\right){x}-48a^{5}+58a^{4}+226a^{3}-47a^{2}-182a-53"
"239.1-d4"	"239.1-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	1	[2]	0	"1.2.A.1.1a"	[[-2, 4, 5, -4, -2, 1], [0, 2, -6, 1, 3, -1], [-2, 5, 8, -7, -4, 2], [-96, 48, 237, -101, -103, 40], [566, -388, -1294, 717, 448, -201]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-2\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-2\\right){y}={x}^{3}+\\left(-a^{5}+3a^{4}+a^{3}-6a^{2}+2a\\right){x}^{2}+\\left(40a^{5}-103a^{4}-101a^{3}+237a^{2}+48a-96\\right){x}-201a^{5}+448a^{4}+717a^{3}-1294a^{2}-388a+566"
"239.1-e1"	"239.1-e"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	0	[]	0	"1.2.A.1.1a"	[[-3, 0, 8, -2, -3, 1], [-3, 5, 8, -7, -4, 2], [1, 4, 4, -8, -3, 2], [4, -1, -10, 7, 4, -2], [0, 1, -3, -3, -1, 1]]	"{y}^2+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}-3\\right){x}{y}+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+4a+1\\right){y}={x}^{3}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-3\\right){x}^{2}+\\left(-2a^{5}+4a^{4}+7a^{3}-10a^{2}-a+4\\right){x}+a^{5}-a^{4}-3a^{3}-3a^{2}+a"
"239.1-f1"	"239.1-f"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	1	[2]	0	"1.2.A.1.1a"	[[-3, 1, 15, -8, -7, 3], [1, 3, -3, -2, 1, 0], [-4, 1, 15, -8, -7, 3], [-1, 14, 3, -27, -7, 6], [-9, -10, 21, 23, -1, -4]]	"{y}^2+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-3\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-4\\right){y}={x}^{3}+\\left(a^{4}-2a^{3}-3a^{2}+3a+1\\right){x}^{2}+\\left(6a^{5}-7a^{4}-27a^{3}+3a^{2}+14a-1\\right){x}-4a^{5}-a^{4}+23a^{3}+21a^{2}-10a-9"
"239.1-f2"	"239.1-f"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	1	[2]	0	"1.2.A.1.1a"	[[-1, 5, 8, -7, -4, 2], [3, 3, -4, -2, 1, 0], [1, 3, 1, -5, -1, 1], [462, 1268, -889, -2932, -401, 596], [-12520, -34546, 23812, 80672, 11268, -16461]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-1\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+3a+1\\right){y}={x}^{3}+\\left(a^{4}-2a^{3}-4a^{2}+3a+3\\right){x}^{2}+\\left(596a^{5}-401a^{4}-2932a^{3}-889a^{2}+1268a+462\\right){x}-16461a^{5}+11268a^{4}+80672a^{3}+23812a^{2}-34546a-12520"
"239.2-a1"	"239.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	0	[2]	0	"1.2.A.1.1a"	[[1, 3, -3, -2, 1, 0], [-5, -4, 11, 0, -4, 1], [-2, 1, 11, -5, -5, 2], [-67, 45, 161, -83, -64, 27], [-57, 39, 128, -72, -48, 22]]	"{y}^2+\\left(a^{4}-2a^{3}-3a^{2}+3a+1\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+a-2\\right){y}={x}^{3}+\\left(a^{5}-4a^{4}+11a^{2}-4a-5\\right){x}^{2}+\\left(27a^{5}-64a^{4}-83a^{3}+161a^{2}+45a-67\\right){x}+22a^{5}-48a^{4}-72a^{3}+128a^{2}+39a-57"
"239.2-a2"	"239.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	0	[2]	0	"1.2.A.1.1a"	[[-3, 0, 8, -2, -3, 1], [3, -1, -4, -1, 1, 0], [-4, 1, 15, -8, -7, 3], [6, -2, -21, 12, 9, -4], [4, 1, -14, 4, 3, -1]]	"{y}^2+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}-3\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-4\\right){y}={x}^{3}+\\left(a^{4}-a^{3}-4a^{2}-a+3\\right){x}^{2}+\\left(-4a^{5}+9a^{4}+12a^{3}-21a^{2}-2a+6\\right){x}-a^{5}+3a^{4}+4a^{3}-14a^{2}+a+4"
"239.2-b1"	"239.2-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	0	[2]	0	"1.2.A.1.1a"	[[0, 1, 4, -3, -2, 1], [4, 5, -8, -3, 2, 0], [-4, 2, 15, -8, -7, 3], [108, 89, -534, 156, 198, -74], [621, 380, -3040, 1091, 1164, -480]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}+a\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+2a-4\\right){y}={x}^{3}+\\left(2a^{4}-3a^{3}-8a^{2}+5a+4\\right){x}^{2}+\\left(-74a^{5}+198a^{4}+156a^{3}-534a^{2}+89a+108\\right){x}-480a^{5}+1164a^{4}+1091a^{3}-3040a^{2}+380a+621"
"239.2-b2"	"239.2-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	0	[2]	0	"1.2.A.1.1a"	[[0, 2, 7, -6, -4, 2], [3, -2, -2, 1, 0, 0], [-3, 3, 9, -7, -4, 2], [-777, 461, 1804, -900, -695, 292], [4202, -2706, -9961, 5007, 3841, -1615]]	"{y}^2+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+3a-3\\right){y}={x}^{3}+\\left(a^{3}-2a^{2}-2a+3\\right){x}^{2}+\\left(292a^{5}-695a^{4}-900a^{3}+1804a^{2}+461a-777\\right){x}-1615a^{5}+3841a^{4}+5007a^{3}-9961a^{2}-2706a+4202"
"239.2-b3"	"239.2-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	0	[2, 2]	0	"1.2.A.1.1a"	[[1, 4, -3, -2, 1, 0], [-1, 2, -2, -2, 1, 0], [-2, 3, 9, -7, -4, 2], [-7, 28, -42, -3, 19, -5], [119, -7, -418, 153, 171, -65]]	"{y}^2+\\left(a^{4}-2a^{3}-3a^{2}+4a+1\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+3a-2\\right){y}={x}^{3}+\\left(a^{4}-2a^{3}-2a^{2}+2a-1\\right){x}^{2}+\\left(-5a^{5}+19a^{4}-3a^{3}-42a^{2}+28a-7\\right){x}-65a^{5}+171a^{4}+153a^{3}-418a^{2}-7a+119"
"239.2-b4"	"239.2-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	0	[4]	0	"1.2.A.1.1a"	[[0, 2, 7, -6, -4, 2], [3, -2, -2, 1, 0, 0], [-3, 3, 9, -7, -4, 2], [-37, 21, 99, -50, -40, 17], [78, -51, -176, 88, 67, -28]]	"{y}^2+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+3a-3\\right){y}={x}^{3}+\\left(a^{3}-2a^{2}-2a+3\\right){x}^{2}+\\left(17a^{5}-40a^{4}-50a^{3}+99a^{2}+21a-37\\right){x}-28a^{5}+67a^{4}+88a^{3}-176a^{2}-51a+78"
"239.3-a1"	"239.3-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	0	[5]	0	"1.2.A.1.1a"	[[0, 5, 4, -8, -3, 2], [-2, -2, 6, -1, -3, 1], [1, 2, 3, -3, -2, 1], [-109, -389, -148, 386, 111, -81], [740, 2582, 866, -2461, -671, 504]]	"{y}^2+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+2a+1\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-a^{3}+6a^{2}-2a-2\\right){x}^{2}+\\left(-81a^{5}+111a^{4}+386a^{3}-148a^{2}-389a-109\\right){x}+504a^{5}-671a^{4}-2461a^{3}+866a^{2}+2582a+740"
"239.3-a2"	"239.3-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	0	[]	0	"1.2.A.1.1a"	[[-2, 3, 5, -4, -2, 1], [2, 0, -4, 3, 2, -1], [-4, 0, 12, -5, -5, 2], [268, 269, -1199, 58, 433, -115], [2526, 2639, -11212, 292, 4044, -1039]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-2\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-4\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+3a^{3}-4a^{2}+2\\right){x}^{2}+\\left(-115a^{5}+433a^{4}+58a^{3}-1199a^{2}+269a+268\\right){x}-1039a^{5}+4044a^{4}+292a^{3}-11212a^{2}+2639a+2526"
"239.3-a3"	"239.3-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	0	[5]	0	"1.2.A.1.1a"	[[-2, 3, 5, -4, -2, 1], [2, 0, -4, 3, 2, -1], [-4, 0, 12, -5, -5, 2], [-2, -1, 6, 3, -2, 0], [-11, -7, 50, -13, -20, 7]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-2\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-4\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+3a^{3}-4a^{2}+2\\right){x}^{2}+\\left(-2a^{4}+3a^{3}+6a^{2}-a-2\\right){x}+7a^{5}-20a^{4}-13a^{3}+50a^{2}-7a-11"
"239.3-a4"	"239.3-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	0	[]	0	"1.2.A.1.1a"	[[-3, 3, 9, -7, -4, 2], [0, 1, 4, -3, -2, 1], [-4, 1, 15, -8, -7, 3], [-64, -22, 805, -489, -420, 187], [17785, -9869, -39312, 17692, 14512, -5855]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+3a-3\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-4\\right){y}={x}^{3}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}+a\\right){x}^{2}+\\left(187a^{5}-420a^{4}-489a^{3}+805a^{2}-22a-64\\right){x}-5855a^{5}+14512a^{4}+17692a^{3}-39312a^{2}-9869a+17785"
"239.3-b1"	"239.3-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	1	[]	0	"1.2.A.1.1a"	[[1, 4, 0, -5, -1, 1], [2, 4, -4, -2, 1, 0], [-2, 5, 12, -10, -6, 3], [-1, 2, 7, -6, -4, 2], [-3, -1, 12, -5, -5, 2]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+4a+1\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+5a-2\\right){y}={x}^{3}+\\left(a^{4}-2a^{3}-4a^{2}+4a+2\\right){x}^{2}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a-1\\right){x}+2a^{5}-5a^{4}-5a^{3}+12a^{2}-a-3"
"239.3-c1"	"239.3-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	1	[]	0	"1.2.A.1.1a"	[[1, 1, 3, -3, -2, 1], [-1, -4, 7, -1, -3, 1], [-4, 1, 15, -8, -7, 3], [29, 17, -147, 45, 63, -23], [179, 128, -892, 260, 382, -138]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a+1\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-4\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-a^{3}+7a^{2}-4a-1\\right){x}^{2}+\\left(-23a^{5}+63a^{4}+45a^{3}-147a^{2}+17a+29\\right){x}-138a^{5}+382a^{4}+260a^{3}-892a^{2}+128a+179"
"239.3-d1"	"239.3-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	1	[2]	0	"1.2.A.1.1a"	[[0, 4, 1, -5, -1, 1], [4, 0, -11, 5, 5, -2], [-2, 5, 8, -7, -4, 2], [-3, 2, 5, -4, -1, 1], [-8, 4, 17, -9, -6, 3]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+4a\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-2\\right){y}={x}^{3}+\\left(-2a^{5}+5a^{4}+5a^{3}-11a^{2}+4\\right){x}^{2}+\\left(a^{5}-a^{4}-4a^{3}+5a^{2}+2a-3\\right){x}+3a^{5}-6a^{4}-9a^{3}+17a^{2}+4a-8"
"239.3-d2"	"239.3-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	1	[2]	0	"1.2.A.1.1a"	[[-4, 2, 15, -8, -7, 3], [4, 2, -15, 3, 6, -2], [0, 0, 0, 0, 0, 0], [-8, 8, 16, -12, -8, 4], [-28, 9, 77, -25, -35, 12]]	"{y}^2+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+2a-4\\right){x}{y}={x}^{3}+\\left(-2a^{5}+6a^{4}+3a^{3}-15a^{2}+2a+4\\right){x}^{2}+\\left(4a^{5}-8a^{4}-12a^{3}+16a^{2}+8a-8\\right){x}+12a^{5}-35a^{4}-25a^{3}+77a^{2}+9a-28"
"239.3-d3"	"239.3-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	1	[2]	0	"1.2.A.1.1a"	[[-4, 2, 15, -8, -7, 3], [4, 2, -15, 3, 6, -2], [0, 0, 0, 0, 0, 0], [2, -2, -4, 3, 2, -1], [0, 0, 0, 0, 0, 0]]	"{y}^2+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+2a-4\\right){x}{y}={x}^{3}+\\left(-2a^{5}+6a^{4}+3a^{3}-15a^{2}+2a+4\\right){x}^{2}+\\left(-a^{5}+2a^{4}+3a^{3}-4a^{2}-2a+2\\right){x}"
"239.3-d4"	"239.3-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	1	[2]	0	"1.2.A.1.1a"	[[0, 1, 3, -3, -2, 1], [0, -4, -4, 4, 2, -1], [0, 1, 4, -3, -2, 1], [-66, -278, -196, 306, 118, -72], [-400, -1464, -628, 1456, 443, -311]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}+a\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+4a^{3}-4a^{2}-4a\\right){x}^{2}+\\left(-72a^{5}+118a^{4}+306a^{3}-196a^{2}-278a-66\\right){x}-311a^{5}+443a^{4}+1456a^{3}-628a^{2}-1464a-400"
"239.3-e1"	"239.3-e"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	0	[]	0	"1.2.A.1.1a"	[[-3, 0, 8, -2, -3, 1], [1, -2, -3, 3, 2, -1], [0, 4, 4, -8, -3, 2], [-5, -12, -2, 13, 4, -3], [-1, -23, -22, 20, 10, -5]]	"{y}^2+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}-3\\right){x}{y}+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+4a\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+3a^{3}-3a^{2}-2a+1\\right){x}^{2}+\\left(-3a^{5}+4a^{4}+13a^{3}-2a^{2}-12a-5\\right){x}-5a^{5}+10a^{4}+20a^{3}-22a^{2}-23a-1"
"239.3-f1"	"239.3-f"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	1	[2]	0	"1.2.A.1.1a"	[[-1, 1, 4, -3, -2, 1], [5, -1, -12, 5, 5, -2], [0, 3, 1, -5, -1, 1], [-27, -123, -78, 130, 48, -30], [116, 433, 190, -434, -133, 93]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}+a-1\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+3a\\right){y}={x}^{3}+\\left(-2a^{5}+5a^{4}+5a^{3}-12a^{2}-a+5\\right){x}^{2}+\\left(-30a^{5}+48a^{4}+130a^{3}-78a^{2}-123a-27\\right){x}+93a^{5}-133a^{4}-434a^{3}+190a^{2}+433a+116"
"239.3-f2"	"239.3-f"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	1	[2]	0	"1.2.A.1.1a"	[[-1, 1, 4, -3, -2, 1], [5, -1, -12, 5, 5, -2], [0, 3, 1, -5, -1, 1], [33, -48, -438, 225, 203, -85], [-482, 132, 2912, -1276, -1292, 517]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}+a-1\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+3a\\right){y}={x}^{3}+\\left(-2a^{5}+5a^{4}+5a^{3}-12a^{2}-a+5\\right){x}^{2}+\\left(-85a^{5}+203a^{4}+225a^{3}-438a^{2}-48a+33\\right){x}+517a^{5}-1292a^{4}-1276a^{3}+2912a^{2}+132a-482"
"239.4-a1"	"239.4-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	0	[2]	0	"1.2.A.1.1a"	[[-3, 0, 8, -2, -3, 1], [6, 4, -15, 3, 6, -2], [0, 1, 7, -6, -4, 2], [22, 3, -124, 13, 44, -12], [12, -23, -95, 149, 71, -43]]	"{y}^2+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}-3\\right){x}{y}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+a\\right){y}={x}^{3}+\\left(-2a^{5}+6a^{4}+3a^{3}-15a^{2}+4a+6\\right){x}^{2}+\\left(-12a^{5}+44a^{4}+13a^{3}-124a^{2}+3a+22\\right){x}-43a^{5}+71a^{4}+149a^{3}-95a^{2}-23a+12"
"239.4-a2"	"239.4-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	0	[2]	0	"1.2.A.1.1a"	[[-2, 3, 5, -4, -2, 1], [0, -2, -7, 6, 4, -2], [1, 5, 0, -5, -1, 1], [-39, -118, -24, 108, 25, -21], [-98, -346, -119, 331, 91, -68]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-2\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+5a+1\\right){y}={x}^{3}+\\left(-2a^{5}+4a^{4}+6a^{3}-7a^{2}-2a\\right){x}^{2}+\\left(-21a^{5}+25a^{4}+108a^{3}-24a^{2}-118a-39\\right){x}-68a^{5}+91a^{4}+331a^{3}-119a^{2}-346a-98"
"239.4-b1"	"239.4-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	0	[2]	0	"1.2.A.1.1a"	[[0, 5, 4, -8, -3, 2], [1, 4, -3, -2, 1, 0], [-3, 1, 15, -8, -7, 3], [-3, 22, -3, 6, -1, -6], [12, 76, -46, -98, 18, 35]]	"{y}^2+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-3\\right){y}={x}^{3}+\\left(a^{4}-2a^{3}-3a^{2}+4a+1\\right){x}^{2}+\\left(-6a^{5}-a^{4}+6a^{3}-3a^{2}+22a-3\\right){x}+35a^{5}+18a^{4}-98a^{3}-46a^{2}+76a+12"
"239.4-b2"	"239.4-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	0	[2]	0	"1.2.A.1.1a"	[[1, 4, 1, -5, -1, 1], [-4, 2, 9, -7, -4, 2], [-3, 4, 12, -10, -6, 3], [-479, 67, 789, -361, -299, 125], [-3178, 497, 5698, -2416, -2142, 866]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+4a+1\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-3\\right){y}={x}^{3}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+2a-4\\right){x}^{2}+\\left(125a^{5}-299a^{4}-361a^{3}+789a^{2}+67a-479\\right){x}+866a^{5}-2142a^{4}-2416a^{3}+5698a^{2}+497a-3178"
"239.4-b3"	"239.4-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	0	[2, 2]	0	"1.2.A.1.1a"	[[-3, 1, 8, -2, -3, 1], [5, 4, -12, 0, 4, -1], [1, 3, 1, -5, -1, 1], [11, 6, -45, -6, 13, -2], [14, 29, -40, -60, -1, 11]]	"{y}^2+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}+a-3\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+3a+1\\right){y}={x}^{3}+\\left(-a^{5}+4a^{4}-12a^{2}+4a+5\\right){x}^{2}+\\left(-2a^{5}+13a^{4}-6a^{3}-45a^{2}+6a+11\\right){x}+11a^{5}-a^{4}-60a^{3}-40a^{2}+29a+14"
"239.4-b4"	"239.4-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	239	0	[4]	0	"1.2.A.1.1a"	[[-3, 1, 8, -2, -3, 1], [5, 4, -12, 0, 4, -1], [1, 3, 1, -5, -1, 1], [1, -9, -5, 9, 3, -2], [2, 1, -5, -1, 1, 0]]	"{y}^2+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}+a-3\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+3a+1\\right){y}={x}^{3}+\\left(-a^{5}+4a^{4}-12a^{2}+4a+5\\right){x}^{2}+\\left(-2a^{5}+3a^{4}+9a^{3}-5a^{2}-9a+1\\right){x}+a^{4}-a^{3}-5a^{2}+a+2"
"251.1-a1"	"251.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	251	0	[]	0	"1.2.A.1.1a"	[[0, 4, 1, -5, -1, 1], [1, 3, 8, -7, -4, 2], [1, 1, 7, -6, -4, 2], [-13, -3, 65, -6, -49, 16], [-1, 18, -14, -23, 23, -5]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+4a\\right){x}{y}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+a+1\\right){y}={x}^3+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+3a+1\\right){x}^2+\\left(16a^{5}-49a^{4}-6a^{3}+65a^{2}-3a-13\\right){x}-5a^{5}+23a^{4}-23a^{3}-14a^{2}+18a-1"
"251.1-b1"	"251.1-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	251	1	[]	0	"1.2.A.1.1a"	[[-1, 1, 7, -6, -4, 2], [-1, 0, 1, 0, 0, 0], [1, 3, 1, -5, -1, 1], [-7, -25, -8, 28, 8, -6], [10, 36, 15, -29, -9, 6]]	"{y}^2+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+a-1\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+3a+1\\right){y}={x}^{3}+\\left(a^{2}-1\\right){x}^{2}+\\left(-6a^{5}+8a^{4}+28a^{3}-8a^{2}-25a-7\\right){x}+6a^{5}-9a^{4}-29a^{3}+15a^{2}+36a+10"
"251.2-a1"	"251.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	251	0	[]	0	"1.2.A.1.1a"	[[-1, 1, 4, -3, -2, 1], [-1, 2, 1, -1, 0, 0], [-2, 2, 11, -5, -5, 2], [-81, -246, -58, 228, 55, -45], [146, 444, 100, -408, -97, 80]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}+a-1\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+2a-2\\right){y}={x}^{3}+\\left(-a^{3}+a^{2}+2a-1\\right){x}^{2}+\\left(-45a^{5}+55a^{4}+228a^{3}-58a^{2}-246a-81\\right){x}+80a^{5}-97a^{4}-408a^{3}+100a^{2}+444a+146"
"251.2-b1"	"251.2-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	251	1	[]	0	"1.2.A.1.1a"	[[-2, 4, 5, -4, -2, 1], [1, 1, 0, 0, 0, 0], [-2, 4, 8, -7, -4, 2], [0, 5, 0, -9, -2, 2], [3, 10, -8, -21, -2, 4]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-2\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+4a-2\\right){y}={x}^{3}+\\left(a+1\\right){x}^{2}+\\left(2a^{5}-2a^{4}-9a^{3}+5a\\right){x}+4a^{5}-2a^{4}-21a^{3}-8a^{2}+10a+3"
"281.1-a1"	"281.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	281	0	[2]	0	"1.2.A.1.1a"	[[0, 1, 4, -3, -2, 1], [2, -5, -4, 4, 2, -1], [0, 2, 3, -3, -2, 1], [7, -2, -27, 13, 13, -5], [7, 3, -31, 8, 13, -4]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}+a\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+2a\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+4a^{3}-4a^{2}-5a+2\\right){x}^{2}+\\left(-5a^{5}+13a^{4}+13a^{3}-27a^{2}-2a+7\\right){x}-4a^{5}+13a^{4}+8a^{3}-31a^{2}+3a+7"
"281.1-a2"	"281.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	281	0	[2]	0	"1.2.A.1.1a"	[[-2, 4, 8, -7, -4, 2], [-1, 3, -2, -2, 1, 0], [0, 0, 0, 0, 0, 0], [-4, 8, 0, -4, 0, 0], [-4, -18, 42, 3, -20, 2]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+4a-2\\right){x}{y}={x}^{3}+\\left(a^{4}-2a^{3}-2a^{2}+3a-1\\right){x}^{2}+\\left(-4a^{3}+8a-4\\right){x}+2a^{5}-20a^{4}+3a^{3}+42a^{2}-18a-4"
"281.2-a1"	"281.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	281	0	[2]	0	"1.2.A.1.1a"	[[1, 4, 1, -5, -1, 1], [3, 3, -14, 3, 6, -2], [1, 2, 3, -3, -2, 1], [-9, -6, 42, -18, -19, 8], [11, 7, -57, 15, 24, -8]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+4a+1\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+2a+1\\right){y}={x}^{3}+\\left(-2a^{5}+6a^{4}+3a^{3}-14a^{2}+3a+3\\right){x}^{2}+\\left(8a^{5}-19a^{4}-18a^{3}+42a^{2}-6a-9\\right){x}-8a^{5}+24a^{4}+15a^{3}-57a^{2}+7a+11"
"281.2-a2"	"281.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	281	0	[2]	0	"1.2.A.1.1a"	[[1, 4, 1, -5, -1, 1], [3, 3, -14, 3, 6, -2], [1, 2, 3, -3, -2, 1], [11, 24, -53, -53, 6, 8], [-72, -154, 178, 265, 0, -44]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+4a+1\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+2a+1\\right){y}={x}^{3}+\\left(-2a^{5}+6a^{4}+3a^{3}-14a^{2}+3a+3\\right){x}^{2}+\\left(8a^{5}+6a^{4}-53a^{3}-53a^{2}+24a+11\\right){x}-44a^{5}+265a^{3}+178a^{2}-154a-72"
"293.2-a1"	"293.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	293	1	[]	0	"1.2.A.1.1a"	[[0, 1, 4, -3, -2, 1], [-5, -3, 8, 3, -2, 0], [-1, 4, 8, -7, -4, 2], [5, -3, -18, 13, 9, -4], [-5, -4, 13, 1, -4, 1]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}+a\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+4a-1\\right){y}={x}^{3}+\\left(-2a^{4}+3a^{3}+8a^{2}-3a-5\\right){x}^{2}+\\left(-4a^{5}+9a^{4}+13a^{3}-18a^{2}-3a+5\\right){x}+a^{5}-4a^{4}+a^{3}+13a^{2}-4a-5"
"293.2-a2"	"293.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	293	1	[]	0	"1.2.A.1.1a"	[[1, 5, 0, -5, -1, 1], [4, -5, -12, 10, 6, -3], [0, 2, 3, -3, -2, 1], [2, -8, -8, 14, 7, -4], [-2, -3, 3, 7, 1, -2]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+5a+1\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+2a\\right){y}={x}^{3}+\\left(-3a^{5}+6a^{4}+10a^{3}-12a^{2}-5a+4\\right){x}^{2}+\\left(-4a^{5}+7a^{4}+14a^{3}-8a^{2}-8a+2\\right){x}-2a^{5}+a^{4}+7a^{3}+3a^{2}-3a-2"
"293.2-b1"	"293.2-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	293	1	[]	0	"1.2.A.1.1a"	[[-4, 1, 15, -8, -7, 3], [0, 3, 1, -5, -1, 1], [-2, 1, 11, -5, -5, 2], [-3, -9, -4, 9, 3, -2], [0, 0, 0, 0, 0, 0]]	"{y}^2+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-4\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+a-2\\right){y}={x}^{3}+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+3a\\right){x}^{2}+\\left(-2a^{5}+3a^{4}+9a^{3}-4a^{2}-9a-3\\right){x}"
"293.2-c1"	"293.2-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	293	1	[]	0	"1.2.A.1.1a"	[[2, 3, -3, -2, 1, 0], [-4, -2, 7, 3, -2, 0], [-1, 5, 8, -7, -4, 2], [-1, -10, 1, 14, 3, -3], [-3, -7, 0, 14, 3, -3]]	"{y}^2+\\left(a^{4}-2a^{3}-3a^{2}+3a+2\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-1\\right){y}={x}^{3}+\\left(-2a^{4}+3a^{3}+7a^{2}-2a-4\\right){x}^{2}+\\left(-3a^{5}+3a^{4}+14a^{3}+a^{2}-10a-1\\right){x}-3a^{5}+3a^{4}+14a^{3}-7a-3"
"293.2-d1"	"293.2-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	293	0	[]	0	"1.2.A.1.1a"	[[-2, 1, 8, -2, -3, 1], [0, -2, 6, -1, -3, 1], [0, 1, 0, 0, 0, 0], [-3, -10, 12, 5, -6, 1], [-7, -16, 21, 30, -12, -10]]	"{y}^2+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}+a-2\\right){x}{y}+a{y}={x}^{3}+\\left(a^{5}-3a^{4}-a^{3}+6a^{2}-2a\\right){x}^{2}+\\left(a^{5}-6a^{4}+5a^{3}+12a^{2}-10a-3\\right){x}-10a^{5}-12a^{4}+30a^{3}+21a^{2}-16a-7"
"293.2-d2"	"293.2-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	293	0	[]	0	"1.2.A.1.1a"	[[1, 5, 4, -8, -3, 2], [4, 1, -9, 2, 3, -1], [1, 1, 0, 0, 0, 0], [1, 0, -1, 6, 3, -2], [-9, -5, 41, -11, -17, 6]]	"{y}^2+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^{3}+\\left(-a^{5}+3a^{4}+2a^{3}-9a^{2}+a+4\\right){x}^{2}+\\left(-2a^{5}+3a^{4}+6a^{3}-a^{2}+1\\right){x}+6a^{5}-17a^{4}-11a^{3}+41a^{2}-5a-9"
"293.3-a1"	"293.3-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	293	1	[]	0	"1.2.A.1.1a"	[[1, 4, 1, -5, -1, 1], [-2, -5, 4, 2, -1, 0], [1, 5, 4, -8, -3, 2], [-4, -5, 5, -2, -2, 1], [-2, -3, 1, 1, 0, 0]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+4a+1\\right){x}{y}+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a+1\\right){y}={x}^{3}+\\left(-a^{4}+2a^{3}+4a^{2}-5a-2\\right){x}^{2}+\\left(a^{5}-2a^{4}-2a^{3}+5a^{2}-5a-4\\right){x}+a^{3}+a^{2}-3a-2"
"293.3-a2"	"293.3-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	293	1	[]	0	"1.2.A.1.1a"	[[-2, 5, 12, -10, -6, 3], [-4, -4, 11, 0, -4, 1], [0, 5, 4, -8, -3, 2], [19, 38, -41, -14, 14, -2], [-21, -48, 25, 28, -6, -2]]	"{y}^2+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+5a-2\\right){x}{y}+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a\\right){y}={x}^{3}+\\left(a^{5}-4a^{4}+11a^{2}-4a-4\\right){x}^{2}+\\left(-2a^{5}+14a^{4}-14a^{3}-41a^{2}+38a+19\\right){x}-2a^{5}-6a^{4}+28a^{3}+25a^{2}-48a-21"
"293.3-b1"	"293.3-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	293	1	[]	0	"1.2.A.1.1a"	[[-2, 1, 8, -2, -3, 1], [-5, -1, 14, -3, -6, 2], [-2, 0, 8, -2, -3, 1], [2, -1, -5, 1, 3, -1], [1, 6, -2, -13, -3, 3]]	"{y}^2+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}+a-2\\right){x}{y}+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}-2\\right){y}={x}^{3}+\\left(2a^{5}-6a^{4}-3a^{3}+14a^{2}-a-5\\right){x}^{2}+\\left(-a^{5}+3a^{4}+a^{3}-5a^{2}-a+2\\right){x}+3a^{5}-3a^{4}-13a^{3}-2a^{2}+6a+1"
"293.3-c1"	"293.3-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	293	1	[]	0	"1.2.A.1.1a"	[[-1, 3, 5, -4, -2, 1], [-1, 2, 5, -4, -2, 1], [0, 1, 4, -3, -2, 1], [-3, 2, 7, -4, -2, 1], [-1, 1, 1, -1, 0, 0]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-1\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}+a\\right){y}={x}^{3}+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+2a-1\\right){x}^{2}+\\left(a^{5}-2a^{4}-4a^{3}+7a^{2}+2a-3\\right){x}-a^{3}+a^{2}+a-1"
"293.3-d1"	"293.3-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	293	0	[]	0	"1.2.A.1.1a"	[[0, 3, 1, -5, -1, 1], [-4, -3, 11, 0, -4, 1], [2, 3, -3, -2, 1, 0], [-8, 1, 20, -7, -8, 3], [-364, 226, 854, -426, -329, 138]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+3a\\right){x}{y}+\\left(a^{4}-2a^{3}-3a^{2}+3a+2\\right){y}={x}^{3}+\\left(a^{5}-4a^{4}+11a^{2}-3a-4\\right){x}^{2}+\\left(3a^{5}-8a^{4}-7a^{3}+20a^{2}+a-8\\right){x}+138a^{5}-329a^{4}-426a^{3}+854a^{2}+226a-364"
"293.3-d2"	"293.3-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	293	0	[]	0	"1.2.A.1.1a"	[[-1, 2, 7, -6, -4, 2], [1, -2, -1, 1, 0, 0], [1, 1, 3, -3, -2, 1], [4, 6, -3, -5, 0, 1], [6, -2, -11, 11, 6, -3]]	"{y}^2+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a-1\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a+1\\right){y}={x}^{3}+\\left(a^{3}-a^{2}-2a+1\\right){x}^{2}+\\left(a^{5}-5a^{3}-3a^{2}+6a+4\\right){x}-3a^{5}+6a^{4}+11a^{3}-11a^{2}-2a+6"
"307.1-a1"	"307.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	307	0	[]	0	"1.2.A.1.1a"	[[-4, 1, 12, -5, -5, 2], [-3, 0, 9, -2, -3, 1], [-1, 4, 8, -7, -4, 2], [3, 2, -14, 4, 6, -2], [6, 3, -33, 10, 14, -5]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}+a-4\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+4a-1\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-2a^{3}+9a^{2}-3\\right){x}^{2}+\\left(-2a^{5}+6a^{4}+4a^{3}-14a^{2}+2a+3\\right){x}-5a^{5}+14a^{4}+10a^{3}-33a^{2}+3a+6"
"307.1-b1"	"307.1-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	307	1	[]	0	"1.2.A.1.1a"	[[-3, 5, 12, -10, -6, 3], [2, -3, 2, -2, -2, 1], [-2, 3, 5, -4, -2, 1], [11, 20, 18, -27, -12, 7], [148, 496, 167, -476, -131, 98]]	"{y}^2+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+5a-3\\right){x}{y}+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-2\\right){y}={x}^{3}+\\left(a^{5}-2a^{4}-2a^{3}+2a^{2}-3a+2\\right){x}^{2}+\\left(7a^{5}-12a^{4}-27a^{3}+18a^{2}+20a+11\\right){x}+98a^{5}-131a^{4}-476a^{3}+167a^{2}+496a+148"
"307.1-c1"	"307.1-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	307	1	[]	0	"1.2.A.1.1a"	[[-1, 1, 4, -3, -2, 1], [-4, 1, 12, -5, -5, 2], [1, 4, -3, -2, 1, 0], [-2, -9, 3, 4, -1, 0], [5, 20, 7, -19, -5, 4]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}+a-1\\right){x}{y}+\\left(a^{4}-2a^{3}-3a^{2}+4a+1\\right){y}={x}^{3}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}+a-4\\right){x}^{2}+\\left(-a^{4}+4a^{3}+3a^{2}-9a-2\\right){x}+4a^{5}-5a^{4}-19a^{3}+7a^{2}+20a+5"
"307.2-a1"	"307.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	307	0	[]	0	"1.2.A.1.1a"	[[-3, 2, 15, -8, -7, 3], [2, -2, -11, 5, 5, -2], [-4, 1, 15, -8, -7, 3], [-8, -20, -18, 23, 11, -6], [5, 36, 13, -35, -9, 7]]	"{y}^2+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+2a-3\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-4\\right){y}={x}^{3}+\\left(-2a^{5}+5a^{4}+5a^{3}-11a^{2}-2a+2\\right){x}^{2}+\\left(-6a^{5}+11a^{4}+23a^{3}-18a^{2}-20a-8\\right){x}+7a^{5}-9a^{4}-35a^{3}+13a^{2}+36a+5"
"307.2-b1"	"307.2-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	307	1	[]	0	"1.2.A.1.1a"	[[2, 4, 0, -5, -1, 1], [0, 0, 7, -6, -4, 2], [0, 4, 4, -8, -3, 2], [-2, 1, 15, -12, -8, 4], [0, 1, 5, -7, -3, 2]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+4a+2\\right){x}{y}+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+4a\\right){y}={x}^{3}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}\\right){x}^{2}+\\left(4a^{5}-8a^{4}-12a^{3}+15a^{2}+a-2\\right){x}+2a^{5}-3a^{4}-7a^{3}+5a^{2}+a"
"307.2-c1"	"307.2-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	307	1	[]	0	"1.2.A.1.1a"	[[1, 1, 3, -3, -2, 1], [2, 0, -1, -4, -1, 1], [-1, 1, 4, -3, -2, 1], [24, -23, -52, 40, 22, -11], [-35, 26, 85, -53, -35, 16]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a+1\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}+a-1\\right){y}={x}^{3}+\\left(a^{5}-a^{4}-4a^{3}-a^{2}+2\\right){x}^{2}+\\left(-11a^{5}+22a^{4}+40a^{3}-52a^{2}-23a+24\\right){x}+16a^{5}-35a^{4}-53a^{3}+85a^{2}+26a-35"
"337.1-a1"	"337.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	337	1	[2]	0	"1.2.A.1.1a"	[[-3, 1, 8, -2, -3, 1], [1, -1, -4, 3, 2, -1], [-2, 4, 9, -7, -4, 2], [129, 173, -884, 247, 387, -139], [-2206, -1110, 9889, -3042, -4195, 1533]]	"{y}^2+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}+a-3\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+4a-2\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+3a^{3}-4a^{2}-a+1\\right){x}^{2}+\\left(-139a^{5}+387a^{4}+247a^{3}-884a^{2}+173a+129\\right){x}+1533a^{5}-4195a^{4}-3042a^{3}+9889a^{2}-1110a-2206"
"337.1-a2"	"337.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	337	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 1, 3, -3, -2, 1], [3, 4, -4, -6, 0, 1], [-3, 0, 8, -2, -3, 1], [2, -2, -8, 22, -1, -3], [-13, -9, 61, 3, -53, 14]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a+1\\right){x}{y}+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}-3\\right){y}={x}^{3}+\\left(a^{5}-6a^{3}-4a^{2}+4a+3\\right){x}^{2}+\\left(-3a^{5}-a^{4}+22a^{3}-8a^{2}-2a+2\\right){x}+14a^{5}-53a^{4}+3a^{3}+61a^{2}-9a-13"
"337.1-a3"	"337.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	337	1	[4]	0	"1.2.A.1.1a"	[[-3, 1, 8, -2, -3, 1], [1, -1, -4, 3, 2, -1], [-2, 4, 9, -7, -4, 2], [-6, 3, 11, -3, -3, 1], [-9, 3, 21, -8, -8, 3]]	"{y}^2+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}+a-3\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+4a-2\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+3a^{3}-4a^{2}-a+1\\right){x}^{2}+\\left(a^{5}-3a^{4}-3a^{3}+11a^{2}+3a-6\\right){x}+3a^{5}-8a^{4}-8a^{3}+21a^{2}+3a-9"
"337.1-a4"	"337.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	337	1	[2]	0	"1.2.A.1.1a"	[[1, 4, 4, -8, -3, 2], [-2, 0, 8, -2, -3, 1], [-4, 1, 12, -5, -5, 2], [-374, 181, 833, -379, -315, 128], [-2774, 45, 5061, -1439, -1772, 625]]	"{y}^2+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+4a+1\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}+a-4\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}-2\\right){x}^{2}+\\left(128a^{5}-315a^{4}-379a^{3}+833a^{2}+181a-374\\right){x}+625a^{5}-1772a^{4}-1439a^{3}+5061a^{2}+45a-2774"
"337.1-b1"	"337.1-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	337	1	[]	0	"1.2.A.1.1a"	[[0, 4, 4, -8, -3, 2], [2, 2, -1, 0, 0, 0], [0, 1, 3, -3, -2, 1], [-2, -12, 0, 42, 11, -10], [-15, -34, 41, 72, 3, -13]]	"{y}^2+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+4a\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a\\right){y}={x}^{3}+\\left(-a^{2}+2a+2\\right){x}^{2}+\\left(-10a^{5}+11a^{4}+42a^{3}-12a-2\\right){x}-13a^{5}+3a^{4}+72a^{3}+41a^{2}-34a-15"
"337.2-a1"	"337.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	337	1	[2]	0	"1.2.A.1.1a"	[[1, 4, -3, -2, 1, 0], [3, 4, -7, -3, 2, 0], [0, 0, 0, 0, 0, 0], [26, 87, -79, -240, -35, 50], [-412, -1145, 796, 2667, 360, -543]]	"{y}^2+\\left(a^{4}-2a^{3}-3a^{2}+4a+1\\right){x}{y}={x}^{3}+\\left(2a^{4}-3a^{3}-7a^{2}+4a+3\\right){x}^{2}+\\left(50a^{5}-35a^{4}-240a^{3}-79a^{2}+87a+26\\right){x}-543a^{5}+360a^{4}+2667a^{3}+796a^{2}-1145a-412"
"337.2-a2"	"337.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	337	1	[2, 2]	0	"1.2.A.1.1a"	[[0, 1, 3, -3, -2, 1], [-2, 2, -2, 2, 2, -1], [-4, 0, 12, -5, -5, 2], [-120, -25, 201, -35, -67, 21], [-285, -114, 415, -13, -127, 32]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-4\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+2a^{3}-2a^{2}+2a-2\\right){x}^{2}+\\left(21a^{5}-67a^{4}-35a^{3}+201a^{2}-25a-120\\right){x}+32a^{5}-127a^{4}-13a^{3}+415a^{2}-114a-285"
"337.2-a3"	"337.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	337	1	[4]	0	"1.2.A.1.1a"	[[-3, 1, 11, -5, -5, 2], [1, -1, -7, 2, 3, -1], [1, 2, 3, -3, -2, 1], [4, 5, -11, -8, 2, 1], [-6, -18, 5, 34, 6, -7]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+a-3\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+2a+1\\right){y}={x}^{3}+\\left(-a^{5}+3a^{4}+2a^{3}-7a^{2}-a+1\\right){x}^{2}+\\left(a^{5}+2a^{4}-8a^{3}-11a^{2}+5a+4\\right){x}-7a^{5}+6a^{4}+34a^{3}+5a^{2}-18a-6"
"337.2-a4"	"337.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	337	1	[2]	0	"1.2.A.1.1a"	[[-3, 4, 12, -10, -6, 3], [3, 0, -9, 2, 3, -1], [1, 4, 4, -8, -3, 2], [16, 3, -95, 41, 36, -17], [-64, -76, 269, 83, -233, 51]]	"{y}^2+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-3\\right){x}{y}+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+4a+1\\right){y}={x}^{3}+\\left(-a^{5}+3a^{4}+2a^{3}-9a^{2}+3\\right){x}^{2}+\\left(-17a^{5}+36a^{4}+41a^{3}-95a^{2}+3a+16\\right){x}+51a^{5}-233a^{4}+83a^{3}+269a^{2}-76a-64"
"337.2-b1"	"337.2-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	337	1	[]	0	"1.2.A.1.1a"	[[-2, 4, 12, -10, -6, 3], [-1, 4, 5, -4, -2, 1], [-4, 1, 12, -5, -5, 2], [0, 4, 2, 3, 1, -1], [-2, 0, 5, 5, 0, -1]]	"{y}^2+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-2\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}+a-4\\right){y}={x}^{3}+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-1\\right){x}^{2}+\\left(-a^{5}+a^{4}+3a^{3}+2a^{2}+4a\\right){x}-a^{5}+5a^{3}+5a^{2}-2"
"349.1-a1"	"349.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	349	0	[]	0	"1.2.A.1.1a"	[[1, 4, 1, -5, -1, 1], [1, -4, -12, 10, 6, -3], [-2, 4, 9, -7, -4, 2], [7, -8, -21, 15, 11, -5], [2, -2, 11, -20, -7, 5]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+4a+1\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+4a-2\\right){y}={x}^3+\\left(-3a^{5}+6a^{4}+10a^{3}-12a^{2}-4a+1\\right){x}^2+\\left(-5a^{5}+11a^{4}+15a^{3}-21a^{2}-8a+7\\right){x}+5a^{5}-7a^{4}-20a^{3}+11a^{2}-2a+2"
"349.2-a1"	"349.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	349	0	[]	0	"1.2.A.1.1a"	[[2, 4, -3, -2, 1, 0], [1, 6, 5, -9, -3, 2], [0, 4, 5, -4, -2, 1], [121, 420, 141, -401, -109, 82], [1662, 5773, 1877, -5487, -1477, 1119]]	"{y}^2+\\left(a^{4}-2a^{3}-3a^{2}+4a+2\\right){x}{y}+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a\\right){y}={x}^3+\\left(2a^{5}-3a^{4}-9a^{3}+5a^{2}+6a+1\\right){x}^2+\\left(82a^{5}-109a^{4}-401a^{3}+141a^{2}+420a+121\\right){x}+1119a^{5}-1477a^{4}-5487a^{3}+1877a^{2}+5773a+1662"
"351.1-a1"	"351.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	351	1	[]	0	"1.2.A.1.1a"	[[-1, 4, 5, -4, -2, 1], [1, 2, -10, 4, 5, -2], [-4, 1, 15, -8, -7, 3], [-14, 14, 58, -29, -24, 10], [2, 34, 6, -29, -5, 5]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-1\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-4\\right){y}={x}^{3}+\\left(-2a^{5}+5a^{4}+4a^{3}-10a^{2}+2a+1\\right){x}^{2}+\\left(10a^{5}-24a^{4}-29a^{3}+58a^{2}+14a-14\\right){x}+5a^{5}-5a^{4}-29a^{3}+6a^{2}+34a+2"
"351.1-b1"	"351.1-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	351	1	[]	0	"1.2.A.1.1a"	[[-3, 2, 11, -5, -5, 2], [4, -1, -12, 5, 5, -2], [-3, 0, 12, -5, -5, 2], [5, -1, -17, 6, 8, -3], [6, -1, -19, 7, 8, -3]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+2a-3\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-3\\right){y}={x}^{3}+\\left(-2a^{5}+5a^{4}+5a^{3}-12a^{2}-a+4\\right){x}^{2}+\\left(-3a^{5}+8a^{4}+6a^{3}-17a^{2}-a+5\\right){x}-3a^{5}+8a^{4}+7a^{3}-19a^{2}-a+6"
"351.1-c1"	"351.1-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	351	1	[4]	0	"1.2.A.1.1a"	[[1, 3, -3, -2, 1, 0], [4, 2, -5, -1, 1, 0], [-3, 1, 15, -8, -7, 3], [-79, 50, 195, -98, -76, 32], [-62, 45, 138, -75, -53, 23]]	"{y}^2+\\left(a^{4}-2a^{3}-3a^{2}+3a+1\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-3\\right){y}={x}^{3}+\\left(a^{4}-a^{3}-5a^{2}+2a+4\\right){x}^{2}+\\left(32a^{5}-76a^{4}-98a^{3}+195a^{2}+50a-79\\right){x}+23a^{5}-53a^{4}-75a^{3}+138a^{2}+45a-62"
"351.1-c2"	"351.1-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	351	1	[2]	0	"1.2.A.1.1a"	[[-2, 4, 8, -7, -4, 2], [2, 3, -7, -3, 2, 0], [-1, 0, 4, -3, -2, 1], [-341, -1137, -351, 1079, 283, -219], [3687, 12918, 4309, -12290, -3357, 2509]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+4a-2\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}-1\\right){y}={x}^{3}+\\left(2a^{4}-3a^{3}-7a^{2}+3a+2\\right){x}^{2}+\\left(-219a^{5}+283a^{4}+1079a^{3}-351a^{2}-1137a-341\\right){x}+2509a^{5}-3357a^{4}-12290a^{3}+4309a^{2}+12918a+3687"
"351.1-c3"	"351.1-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	351	1	[2, 2]	0	"1.2.A.1.1a"	[[0, 2, 3, -3, -2, 1], [-1, -3, 3, 2, -1, 0], [0, 0, 0, 0, 0, 0], [692, 1908, -1320, -4452, -620, 908], [1440, 3970, -2745, -9262, -1290, 1889]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+2a\\right){x}{y}={x}^{3}+\\left(-a^{4}+2a^{3}+3a^{2}-3a-1\\right){x}^{2}+\\left(908a^{5}-620a^{4}-4452a^{3}-1320a^{2}+1908a+692\\right){x}+1889a^{5}-1290a^{4}-9262a^{3}-2745a^{2}+3970a+1440"
"351.1-c4"	"351.1-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	351	1	[2]	0	"1.2.A.1.1a"	[[-4, 1, 12, -5, -5, 2], [-3, 0, 11, -5, -5, 2], [0, 4, 1, -5, -1, 1], [-87, 20, 240, -64, -136, 48], [-951, 584, 2256, -1086, -898, 370]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}+a-4\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+4a\\right){y}={x}^{3}+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}-3\\right){x}^{2}+\\left(48a^{5}-136a^{4}-64a^{3}+240a^{2}+20a-87\\right){x}+370a^{5}-898a^{4}-1086a^{3}+2256a^{2}+584a-951"
"351.1-d1"	"351.1-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	351	1	[]	0	"1.2.A.1.1a"	[[0, 4, 1, -5, -1, 1], [3, -1, -8, 2, 3, -1], [1, 0, 0, 0, 0, 0], [4, 4, -4, -2, 1, 0], [0, 0, 0, 0, 0, 0]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+4a\\right){x}{y}+{y}={x}^{3}+\\left(-a^{5}+3a^{4}+2a^{3}-8a^{2}-a+3\\right){x}^{2}+\\left(a^{4}-2a^{3}-4a^{2}+4a+4\\right){x}"
"351.2-a1"	"351.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	351	0	[]	0	"1.2.A.1.1a"	[[0, 1, 3, -3, -2, 1], [-3, 4, 12, -10, -6, 3], [0, 5, 4, -8, -3, 2], [-1, 0, -3, 3, 2, -1], [11, 2, -40, 5, 14, -4]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a\\right){x}{y}+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a\\right){y}={x}^{3}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-3\\right){x}^{2}+\\left(-a^{5}+2a^{4}+3a^{3}-3a^{2}-1\\right){x}-4a^{5}+14a^{4}+5a^{3}-40a^{2}+2a+11"
"351.2-a2"	"351.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	351	0	[]	0	"1.2.A.1.1a"	[[-1, 5, 8, -7, -4, 2], [-3, -4, 11, 0, -4, 1], [0, 5, 4, -8, -3, 2], [-6, 1, 22, -18, -12, 6], [6, 14, -14, -35, -4, 7]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-1\\right){x}{y}+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a\\right){y}={x}^{3}+\\left(a^{5}-4a^{4}+11a^{2}-4a-3\\right){x}^{2}+\\left(6a^{5}-12a^{4}-18a^{3}+22a^{2}+a-6\\right){x}+7a^{5}-4a^{4}-35a^{3}-14a^{2}+14a+6"
"351.2-b1"	"351.2-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	351	1	[]	0	"1.2.A.1.1a"	[[-2, 1, 11, -5, -5, 2], [3, -1, -15, 8, 7, -3], [-3, 0, 8, -2, -3, 1], [-4, -2, -6, 6, 4, -2], [-4, 3, 37, -18, -17, 7]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+a-2\\right){x}{y}+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}-3\\right){y}={x}^{3}+\\left(-3a^{5}+7a^{4}+8a^{3}-15a^{2}-a+3\\right){x}^{2}+\\left(-2a^{5}+4a^{4}+6a^{3}-6a^{2}-2a-4\\right){x}+7a^{5}-17a^{4}-18a^{3}+37a^{2}+3a-4"
"351.2-c1"	"351.2-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	351	0	[2]	0	"1.2.A.1.1a"	[[-4, 2, 15, -8, -7, 3], [2, -2, -7, 2, 3, -1], [-2, 4, 9, -7, -4, 2], [-213, 96, 551, -185, -281, 100], [505, -792, -554, 1265, -607, 110]]	"{y}^2+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+2a-4\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+4a-2\\right){y}={x}^{3}+\\left(-a^{5}+3a^{4}+2a^{3}-7a^{2}-2a+2\\right){x}^{2}+\\left(100a^{5}-281a^{4}-185a^{3}+551a^{2}+96a-213\\right){x}+110a^{5}-607a^{4}+1265a^{3}-554a^{2}-792a+505"
"351.2-c2"	"351.2-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	351	0	[2]	0	"1.2.A.1.1a"	[[-4, 2, 15, -8, -7, 3], [2, -2, -7, 2, 3, -1], [-2, 4, 9, -7, -4, 2], [2, -4, -4, 5, -1, 0], [44, -39, -90, 66, 16, -9]]	"{y}^2+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+2a-4\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+4a-2\\right){y}={x}^{3}+\\left(-a^{5}+3a^{4}+2a^{3}-7a^{2}-2a+2\\right){x}^{2}+\\left(-a^{4}+5a^{3}-4a^{2}-4a+2\\right){x}-9a^{5}+16a^{4}+66a^{3}-90a^{2}-39a+44"
"351.2-c3"	"351.2-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	351	0	[2]	0	"1.2.A.1.1a"	[[-1, 5, 8, -7, -4, 2], [2, -2, -7, 6, 4, -2], [1, 4, 0, -5, -1, 1], [1, -2, -6, 4, 2, -1], [-6, 8, 17, -22, -10, 6]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-1\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+4a+1\\right){y}={x}^{3}+\\left(-2a^{5}+4a^{4}+6a^{3}-7a^{2}-2a+2\\right){x}^{2}+\\left(-a^{5}+2a^{4}+4a^{3}-6a^{2}-2a+1\\right){x}+6a^{5}-10a^{4}-22a^{3}+17a^{2}+8a-6"
"351.2-c4"	"351.2-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	351	0	[2]	0	"1.2.A.1.1a"	[[-1, 5, 8, -7, -4, 2], [2, -2, -7, 6, 4, -2], [1, 4, 0, -5, -1, 1], [-39, 48, 44, -41, -18, 9], [-255, 87, 748, -321, -314, 128]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-1\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+4a+1\\right){y}={x}^{3}+\\left(-2a^{5}+4a^{4}+6a^{3}-7a^{2}-2a+2\\right){x}^{2}+\\left(9a^{5}-18a^{4}-41a^{3}+44a^{2}+48a-39\\right){x}+128a^{5}-314a^{4}-321a^{3}+748a^{2}+87a-255"
"351.3-a1"	"351.3-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	351	1	[]	0	"1.2.A.1.1a"	[[1, 1, 0, 0, 0, 0], [-3, 3, 12, -10, -6, 3], [0, 1, 7, -6, -4, 2], [3, -9, -7, 15, 6, -4], [-3, 8, 0, -11, 1, 1]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+a\\right){y}={x}^{3}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+3a-3\\right){x}^{2}+\\left(-4a^{5}+6a^{4}+15a^{3}-7a^{2}-9a+3\\right){x}+a^{5}+a^{4}-11a^{3}+8a-3"
"351.3-b1"	"351.3-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	351	1	[]	0	"1.2.A.1.1a"	[[2, 5, 0, -5, -1, 1], [-3, 4, 9, -7, -4, 2], [0, 0, 4, -3, -2, 1], [1, 8, 5, -9, -3, 2], [8, 1, -17, 4, 6, -2]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+5a+2\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}\\right){y}={x}^{3}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+4a-3\\right){x}^{2}+\\left(2a^{5}-3a^{4}-9a^{3}+5a^{2}+8a+1\\right){x}-2a^{5}+6a^{4}+4a^{3}-17a^{2}+a+8"
"351.3-c1"	"351.3-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	351	1	[4]	0	"1.2.A.1.1a"	[[1, 3, -3, -2, 1, 0], [-4, -5, 8, 3, -2, 0], [-3, 1, 15, -8, -7, 3], [-5, -3, 27, -5, -11, 3], [1, 0, -8, 3, 4, -1]]	"{y}^2+\\left(a^{4}-2a^{3}-3a^{2}+3a+1\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-3\\right){y}={x}^{3}+\\left(-2a^{4}+3a^{3}+8a^{2}-5a-4\\right){x}^{2}+\\left(3a^{5}-11a^{4}-5a^{3}+27a^{2}-3a-5\\right){x}-a^{5}+4a^{4}+3a^{3}-8a^{2}+1"
"351.3-c2"	"351.3-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	351	1	[2]	0	"1.2.A.1.1a"	[[0, 1, 7, -6, -4, 2], [4, 2, -10, 0, 4, -1], [-3, 1, 12, -5, -5, 2], [37, 123, -308, 1, 113, -29], [198, 750, -1826, -3, 756, -204]]	"{y}^2+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+a\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}+a-3\\right){y}={x}^{3}+\\left(-a^{5}+4a^{4}-10a^{2}+2a+4\\right){x}^{2}+\\left(-29a^{5}+113a^{4}+a^{3}-308a^{2}+123a+37\\right){x}-204a^{5}+756a^{4}-3a^{3}-1826a^{2}+750a+198"
"351.3-c3"	"351.3-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	351	1	[2, 2]	0	"1.2.A.1.1a"	[[0, 4, 1, -5, -1, 1], [3, 2, -10, 4, 5, -2], [-2, 0, 8, -2, -3, 1], [120, 49, -676, 248, 298, -114], [-176, -225, 619, -62, -247, 75]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+4a\\right){x}{y}+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}-2\\right){y}={x}^{3}+\\left(-2a^{5}+5a^{4}+4a^{3}-10a^{2}+2a+3\\right){x}^{2}+\\left(-114a^{5}+298a^{4}+248a^{3}-676a^{2}+49a+120\\right){x}+75a^{5}-247a^{4}-62a^{3}+619a^{2}-225a-176"
"351.3-c4"	"351.3-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	351	1	[2]	0	"1.2.A.1.1a"	[[-3, 4, 9, -7, -4, 2], [3, 3, -14, 3, 6, -2], [1, 5, 0, -5, -1, 1], [-145, -469, -131, 439, 111, -88], [-189, -566, -86, 514, 101, -102]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+4a-3\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+5a+1\\right){y}={x}^{3}+\\left(-2a^{5}+6a^{4}+3a^{3}-14a^{2}+3a+3\\right){x}^{2}+\\left(-88a^{5}+111a^{4}+439a^{3}-131a^{2}-469a-145\\right){x}-102a^{5}+101a^{4}+514a^{3}-86a^{2}-566a-189"
"351.3-d1"	"351.3-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	351	1	[]	0	"1.2.A.1.1a"	[[-1, 1, 4, -3, -2, 1], [5, 0, -9, 2, 3, -1], [1, 0, 0, 0, 0, 0], [2, 1, -6, 1, 3, -1], [0, 0, 0, 0, 0, 0]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}+a-1\\right){x}{y}+{y}={x}^{3}+\\left(-a^{5}+3a^{4}+2a^{3}-9a^{2}+5\\right){x}^{2}+\\left(-a^{5}+3a^{4}+a^{3}-6a^{2}+a+2\\right){x}"
"351.4-a1"	"351.4-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	351	0	[]	0	"1.2.A.1.1a"	[[1, 1, 3, -3, -2, 1], [1, 2, -10, 4, 5, -2], [0, 2, 7, -6, -4, 2], [-2, -3, 10, -4, -5, 2], [6, 6, -30, 2, 11, -3]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a+1\\right){x}{y}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a\\right){y}={x}^{3}+\\left(-2a^{5}+5a^{4}+4a^{3}-10a^{2}+2a+1\\right){x}^{2}+\\left(2a^{5}-5a^{4}-4a^{3}+10a^{2}-3a-2\\right){x}-3a^{5}+11a^{4}+2a^{3}-30a^{2}+6a+6"
"351.4-a2"	"351.4-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	351	0	[]	0	"1.2.A.1.1a"	[[0, 2, 3, -3, -2, 1], [4, 1, -8, 2, 3, -1], [0, 1, 7, -6, -4, 2], [12, 8, -54, 14, 23, -8], [16, 14, -80, 17, 33, -11]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+2a\\right){x}{y}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+a\\right){y}={x}^{3}+\\left(-a^{5}+3a^{4}+2a^{3}-8a^{2}+a+4\\right){x}^{2}+\\left(-8a^{5}+23a^{4}+14a^{3}-54a^{2}+8a+12\\right){x}-11a^{5}+33a^{4}+17a^{3}-80a^{2}+14a+16"
"351.4-b1"	"351.4-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	351	1	[]	0	"1.2.A.1.1a"	[[-3, 1, 11, -5, -5, 2], [0, 1, 3, -3, -2, 1], [-3, 0, 8, -2, -3, 1], [-1, 2, 2, -3, -2, 1], [-2, -3, 3, 8, 2, -2]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+a-3\\right){x}{y}+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}-3\\right){y}={x}^{3}+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a\\right){x}^{2}+\\left(a^{5}-2a^{4}-3a^{3}+2a^{2}+2a-1\\right){x}-2a^{5}+2a^{4}+8a^{3}+3a^{2}-3a-2"
"351.4-c1"	"351.4-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	351	0	[2]	0	"1.2.A.1.1a"	[[2, 4, -3, -2, 1, 0], [-4, -3, 14, -3, -6, 2], [-1, 5, 8, -7, -4, 2], [-557, -1865, -581, 1738, 462, -352], [-8158, -28501, -9400, 27236, 7374, -5570]]	"{y}^2+\\left(a^{4}-2a^{3}-3a^{2}+4a+2\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-1\\right){y}={x}^{3}+\\left(2a^{5}-6a^{4}-3a^{3}+14a^{2}-3a-4\\right){x}^{2}+\\left(-352a^{5}+462a^{4}+1738a^{3}-581a^{2}-1865a-557\\right){x}-5570a^{5}+7374a^{4}+27236a^{3}-9400a^{2}-28501a-8158"
"351.4-c2"	"351.4-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	351	0	[2]	0	"1.2.A.1.1a"	[[-2, 5, 12, -10, -6, 3], [6, 5, -12, 0, 4, -1], [-3, 1, 12, -5, -5, 2], [3, -37, -44, 47, 22, -12], [122, -325, -503, 417, 222, -111]]	"{y}^2+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+5a-2\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}+a-3\\right){y}={x}^{3}+\\left(-a^{5}+4a^{4}-12a^{2}+5a+6\\right){x}^{2}+\\left(-12a^{5}+22a^{4}+47a^{3}-44a^{2}-37a+3\\right){x}-111a^{5}+222a^{4}+417a^{3}-503a^{2}-325a+122"
"351.4-c3"	"351.4-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	351	0	[2]	0	"1.2.A.1.1a"	[[0, 2, 3, -3, -2, 1], [2, 5, -4, -6, 0, 1], [2, 3, -3, -2, 1, 0], [-8, -11, -4, 20, 7, -5], [10, 4, -25, 1, 8, -2]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+2a\\right){x}{y}+\\left(a^{4}-2a^{3}-3a^{2}+3a+2\\right){y}={x}^{3}+\\left(a^{5}-6a^{3}-4a^{2}+5a+2\\right){x}^{2}+\\left(-5a^{5}+7a^{4}+20a^{3}-4a^{2}-11a-8\\right){x}-2a^{5}+8a^{4}+a^{3}-25a^{2}+4a+10"
"351.4-c4"	"351.4-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	351	0	[2]	0	"1.2.A.1.1a"	[[-1, 0, 4, -3, -2, 1], [-3, -3, 8, 3, -2, 0], [1, 0, 0, 0, 0, 0], [-340, -1152, -368, 1104, 295, -225], [-3113, -10882, -3601, 10371, 2810, -2120]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}-1\\right){x}{y}+{y}={x}^{3}+\\left(-2a^{4}+3a^{3}+8a^{2}-3a-3\\right){x}^{2}+\\left(-225a^{5}+295a^{4}+1104a^{3}-368a^{2}-1152a-340\\right){x}-2120a^{5}+2810a^{4}+10371a^{3}-3601a^{2}-10882a-3113"
"377.1-a1"	"377.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	377	1	[]	0	"1.2.A.1.1a"	[[-3, 1, 11, -5, -5, 2], [-3, 0, 12, -5, -5, 2], [-1, 0, 4, -3, -2, 1], [14, -4, -19, -5, 2, 1], [21, -6, -40, -4, 7, 0]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+a-3\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}-1\\right){y}={x}^{3}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-3\\right){x}^{2}+\\left(a^{5}+2a^{4}-5a^{3}-19a^{2}-4a+14\\right){x}+7a^{4}-4a^{3}-40a^{2}-6a+21"
"377.1-a2"	"377.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	377	1	[]	0	"1.2.A.1.1a"	[[0, 0, 4, -3, -2, 1], [0, -1, 2, 2, -1, 0], [-1, 3, 5, -4, -2, 1], [-13, -1, 27, -2, -8, 2], [-20, 21, 44, -48, -23, 13]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}\\right){x}{y}+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-1\\right){y}={x}^{3}+\\left(-a^{4}+2a^{3}+2a^{2}-a\\right){x}^{2}+\\left(2a^{5}-8a^{4}-2a^{3}+27a^{2}-a-13\\right){x}+13a^{5}-23a^{4}-48a^{3}+44a^{2}+21a-20"
"377.2-a1"	"377.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	377	0	[2]	0	"1.2.A.1.1a"	[[-4, 2, 15, -8, -7, 3], [3, 3, -8, -3, 2, 0], [-3, 1, 11, -5, -5, 2], [-29, 18, 63, -27, -23, 9], [-77, 50, 181, -93, -73, 31]]	"{y}^2+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+2a-4\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+a-3\\right){y}={x}^{3}+\\left(2a^{4}-3a^{3}-8a^{2}+3a+3\\right){x}^{2}+\\left(9a^{5}-23a^{4}-27a^{3}+63a^{2}+18a-29\\right){x}+31a^{5}-73a^{4}-93a^{3}+181a^{2}+50a-77"
"377.2-a2"	"377.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	377	0	[2]	0	"1.2.A.1.1a"	[[-3, 1, 15, -8, -7, 3], [2, 0, -1, -4, -1, 1], [-2, 0, 8, -2, -3, 1], [-26, -45, 60, 27, -21, -1], [-25, -67, -6, 3, 13, 18]]	"{y}^2+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-3\\right){x}{y}+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}-2\\right){y}={x}^{3}+\\left(a^{5}-a^{4}-4a^{3}-a^{2}+2\\right){x}^{2}+\\left(-a^{5}-21a^{4}+27a^{3}+60a^{2}-45a-26\\right){x}+18a^{5}+13a^{4}+3a^{3}-6a^{2}-67a-25"
"377.2-b1"	"377.2-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	377	1	[2]	0	"1.2.A.1.1a"	[[-1, 3, 5, -4, -2, 1], [-3, 2, 9, -7, -4, 2], [-1, 1, 7, -6, -4, 2], [1, -4, -13, 12, 8, -4], [5, 6, -18, -3, 6, -1]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-1\\right){x}{y}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+a-1\\right){y}={x}^{3}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+2a-3\\right){x}^{2}+\\left(-4a^{5}+8a^{4}+12a^{3}-13a^{2}-4a+1\\right){x}-a^{5}+6a^{4}-3a^{3}-18a^{2}+6a+5"
"377.2-b2"	"377.2-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	377	1	[2]	0	"1.2.A.1.1a"	[[2, 3, -3, -2, 1, 0], [1, 5, 0, -5, -1, 1], [0, 0, 0, 0, 0, 0], [-112, -72, 556, -172, -240, 88], [119, 88, -565, 169, 244, -89]]	"{y}^2+\\left(a^{4}-2a^{3}-3a^{2}+3a+2\\right){x}{y}={x}^{3}+\\left(a^{5}-a^{4}-5a^{3}+5a+1\\right){x}^{2}+\\left(88a^{5}-240a^{4}-172a^{3}+556a^{2}-72a-112\\right){x}-89a^{5}+244a^{4}+169a^{3}-565a^{2}+88a+119"
"377.2-c1"	"377.2-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	377	1	[2]	0	"1.2.A.1.1a"	[[1, 1, 3, -3, -2, 1], [-4, -3, 12, 0, -4, 1], [-4, 1, 15, -8, -7, 3], [-3, -2, 11, 0, -4, 1], [0, 0, 0, 0, 0, 0]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a+1\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-4\\right){y}={x}^{3}+\\left(a^{5}-4a^{4}+12a^{2}-3a-4\\right){x}^{2}+\\left(a^{5}-4a^{4}+11a^{2}-2a-3\\right){x}"
"377.2-c2"	"377.2-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	377	1	[2, 2]	0	"1.2.A.1.1a"	[[1, 1, 3, -3, -2, 1], [-4, -3, 12, 0, -4, 1], [-4, 1, 15, -8, -7, 3], [-23, 13, 61, -30, -29, 11], [-30, 26, 65, -49, -19, 13]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a+1\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-4\\right){y}={x}^{3}+\\left(a^{5}-4a^{4}+12a^{2}-3a-4\\right){x}^{2}+\\left(11a^{5}-29a^{4}-30a^{3}+61a^{2}+13a-23\\right){x}+13a^{5}-19a^{4}-49a^{3}+65a^{2}+26a-30"
"377.2-c3"	"377.2-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	377	1	[2]	0	"1.2.A.1.1a"	[[1, 1, 3, -3, -2, 1], [-4, -3, 12, 0, -4, 1], [-4, 1, 15, -8, -7, 3], [-378, 208, 926, -405, -409, 161], [-2249, 1659, 4976, -3014, -1524, 728]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a+1\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-4\\right){y}={x}^{3}+\\left(a^{5}-4a^{4}+12a^{2}-3a-4\\right){x}^{2}+\\left(161a^{5}-409a^{4}-405a^{3}+926a^{2}+208a-378\\right){x}+728a^{5}-1524a^{4}-3014a^{3}+4976a^{2}+1659a-2249"
"377.2-c4"	"377.2-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	377	1	[2]	0	"1.2.A.1.1a"	[[-2, 1, 11, -5, -5, 2], [3, -3, -6, 4, 2, -1], [-3, 4, 12, -10, -6, 3], [88, 275, -161, -633, -97, 131], [-1454, -3159, 2896, 7435, 847, -1481]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+a-2\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-3\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+4a^{3}-6a^{2}-3a+3\\right){x}^{2}+\\left(131a^{5}-97a^{4}-633a^{3}-161a^{2}+275a+88\\right){x}-1481a^{5}+847a^{4}+7435a^{3}+2896a^{2}-3159a-1454"
"377.2-d1"	"377.2-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	377	1	[2]	0	"1.2.A.1.1a"	[[-3, 2, 15, -8, -7, 3], [3, -1, -7, 2, 3, -1], [-1, 4, 5, -4, -2, 1], [-9, -21, 12, 12, -2, -1], [-9, -21, 0, 17, 3, -3]]	"{y}^2+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+2a-3\\right){x}{y}+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-1\\right){y}={x}^{3}+\\left(-a^{5}+3a^{4}+2a^{3}-7a^{2}-a+3\\right){x}^{2}+\\left(-a^{5}-2a^{4}+12a^{3}+12a^{2}-21a-9\\right){x}-3a^{5}+3a^{4}+17a^{3}-21a-9"
"377.2-d2"	"377.2-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	377	1	[2]	0	"1.2.A.1.1a"	[[1, 0, 0, 0, 0, 0], [3, 3, -11, 0, 4, -1], [1, 3, -3, -2, 1, 0], [-5, -4, 16, 1, -5, 1], [2, 2, -7, -3, 2, 0]]	"{y}^2+{x}{y}+\\left(a^{4}-2a^{3}-3a^{2}+3a+1\\right){y}={x}^{3}+\\left(-a^{5}+4a^{4}-11a^{2}+3a+3\\right){x}^{2}+\\left(a^{5}-5a^{4}+a^{3}+16a^{2}-4a-5\\right){x}+2a^{4}-3a^{3}-7a^{2}+2a+2"
"377.2-d3"	"377.2-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	377	1	[2]	0	"1.2.A.1.1a"	[[-3, 2, 11, -5, -5, 2], [0, -3, 2, -2, -2, 1], [-2, 5, 12, -10, -6, 3], [-23, -42, 14, 42, 1, -7], [-223, 276, 624, -417, -255, 121]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+2a-3\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+5a-2\\right){y}={x}^{3}+\\left(a^{5}-2a^{4}-2a^{3}+2a^{2}-3a\\right){x}^{2}+\\left(-7a^{5}+a^{4}+42a^{3}+14a^{2}-42a-23\\right){x}+121a^{5}-255a^{4}-417a^{3}+624a^{2}+276a-223"
"377.2-d4"	"377.2-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	377	1	[2]	0	"1.2.A.1.1a"	[[1, 0, 0, 0, 0, 0], [3, 3, -11, 0, 4, -1], [1, 3, -3, -2, 1, 0], [-5, -14, 6, 6, -5, 1], [8, 11, -11, -7, 6, -1]]	"{y}^2+{x}{y}+\\left(a^{4}-2a^{3}-3a^{2}+3a+1\\right){y}={x}^{3}+\\left(-a^{5}+4a^{4}-11a^{2}+3a+3\\right){x}^{2}+\\left(a^{5}-5a^{4}+6a^{3}+6a^{2}-14a-5\\right){x}-a^{5}+6a^{4}-7a^{3}-11a^{2}+11a+8"
"377.3-a1"	"377.3-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	377	0	[2]	0	"1.2.A.1.1a"	[[2, 4, -3, -2, 1, 0], [-3, 2, 11, -5, -5, 2], [-2, 1, 8, -2, -3, 1], [3, -4, -22, 10, 10, -4], [-19, -92, -80, 106, 45, -26]]	"{y}^2+\\left(a^{4}-2a^{3}-3a^{2}+4a+2\\right){x}{y}+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}+a-2\\right){y}={x}^{3}+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+2a-3\\right){x}^{2}+\\left(-4a^{5}+10a^{4}+10a^{3}-22a^{2}-4a+3\\right){x}-26a^{5}+45a^{4}+106a^{3}-80a^{2}-92a-19"
"377.3-a2"	"377.3-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	377	0	[2]	0	"1.2.A.1.1a"	[[0, 1, 0, 0, 0, 0], [0, 0, -3, 3, 2, -1], [-1, 4, 8, -7, -4, 2], [-173, 116, 397, -213, -155, 67], [972, -269, -2249, 382, 703, -201]]	"{y}^2+a{x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+4a-1\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+3a^{3}-3a^{2}\\right){x}^{2}+\\left(67a^{5}-155a^{4}-213a^{3}+397a^{2}+116a-173\\right){x}-201a^{5}+703a^{4}+382a^{3}-2249a^{2}-269a+972"
"377.3-b1"	"377.3-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	377	1	[2]	0	"1.2.A.1.1a"	[[-1, 3, 5, -4, -2, 1], [-3, -2, 7, 3, -2, 0], [-3, 4, 12, -10, -6, 3], [-47, 14, 104, -22, -33, 10], [-87, 38, 200, -63, -68, 24]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-1\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-3\\right){y}={x}^{3}+\\left(-2a^{4}+3a^{3}+7a^{2}-2a-3\\right){x}^{2}+\\left(10a^{5}-33a^{4}-22a^{3}+104a^{2}+14a-47\\right){x}+24a^{5}-68a^{4}-63a^{3}+200a^{2}+38a-87"
"377.3-b2"	"377.3-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	377	1	[2]	0	"1.2.A.1.1a"	[[-1, 3, 5, -4, -2, 1], [-3, -2, 7, 3, -2, 0], [-3, 4, 12, -10, -6, 3], [-7, -1, 14, 3, -3, 0], [2, 2, -7, -3, 2, 0]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-1\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-3\\right){y}={x}^{3}+\\left(-2a^{4}+3a^{3}+7a^{2}-2a-3\\right){x}^{2}+\\left(-3a^{4}+3a^{3}+14a^{2}-a-7\\right){x}+2a^{4}-3a^{3}-7a^{2}+2a+2"
"377.3-c1"	"377.3-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	377	1	[2]	0	"1.2.A.1.1a"	[[-1, 1, 4, -3, -2, 1], [-2, 0, 7, -2, -3, 1], [-2, 2, 11, -5, -5, 2], [3, -2, -26, 13, 12, -5], [-5, -1, 29, -11, -13, 5]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}+a-1\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+2a-2\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-2a^{3}+7a^{2}-2\\right){x}^{2}+\\left(-5a^{5}+12a^{4}+13a^{3}-26a^{2}-2a+3\\right){x}+5a^{5}-13a^{4}-11a^{3}+29a^{2}-a-5"
"377.3-c2"	"377.3-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	377	1	[2, 2]	0	"1.2.A.1.1a"	[[-1, 1, 4, -3, -2, 1], [-2, 0, 7, -2, -3, 1], [-2, 2, 11, -5, -5, 2], [63, -17, -471, 208, 212, -85], [-360, -45, 2234, -879, -988, 384]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}+a-1\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+2a-2\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-2a^{3}+7a^{2}-2\\right){x}^{2}+\\left(-85a^{5}+212a^{4}+208a^{3}-471a^{2}-17a+63\\right){x}+384a^{5}-988a^{4}-879a^{3}+2234a^{2}-45a-360"
"377.3-c3"	"377.3-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	377	1	[2]	0	"1.2.A.1.1a"	[[-1, 1, 4, -3, -2, 1], [-2, 0, 7, -2, -3, 1], [-2, 2, 11, -5, -5, 2], [-287, -1267, -946, 1408, 557, -335], [4567, 16731, 7090, -16546, -5005, 3523]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}+a-1\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+2a-2\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-2a^{3}+7a^{2}-2\\right){x}^{2}+\\left(-335a^{5}+557a^{4}+1408a^{3}-946a^{2}-1267a-287\\right){x}+3523a^{5}-5005a^{4}-16546a^{3}+7090a^{2}+16731a+4567"
"377.3-c4"	"377.3-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	377	1	[2]	0	"1.2.A.1.1a"	[[-2, 5, 8, -7, -4, 2], [-3, -1, 10, 0, -4, 1], [-1, 3, 5, -4, -2, 1], [-42, -175, -146, 206, 92, -53], [179, 710, 412, -737, -258, 160]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-2\\right){x}{y}+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-1\\right){y}={x}^{3}+\\left(a^{5}-4a^{4}+10a^{2}-a-3\\right){x}^{2}+\\left(-53a^{5}+92a^{4}+206a^{3}-146a^{2}-175a-42\\right){x}+160a^{5}-258a^{4}-737a^{3}+412a^{2}+710a+179"
"377.3-d1"	"377.3-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	377	1	[2]	0	"1.2.A.1.1a"	[[1, 0, 0, 0, 0, 0], [3, 3, -11, 0, 4, -1], [1, 3, -3, -2, 1, 0], [-4, -2, 22, -5, -9, 3], [5, 7, -18, 1, 7, -2]]	"{y}^2+{x}{y}+\\left(a^{4}-2a^{3}-3a^{2}+3a+1\\right){y}={x}^{3}+\\left(-a^{5}+4a^{4}-11a^{2}+3a+3\\right){x}^{2}+\\left(3a^{5}-9a^{4}-5a^{3}+22a^{2}-2a-4\\right){x}-2a^{5}+7a^{4}+a^{3}-18a^{2}+7a+5"
"377.3-d2"	"377.3-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	377	1	[2]	0	"1.2.A.1.1a"	[[-4, 1, 12, -5, -5, 2], [0, 5, 4, -4, -2, 1], [2, 3, -3, -2, 1, 0], [5, 18, -4, -34, -6, 7], [15, 40, -28, -93, -13, 19]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}+a-4\\right){x}{y}+\\left(a^{4}-2a^{3}-3a^{2}+3a+2\\right){y}={x}^{3}+\\left(a^{5}-2a^{4}-4a^{3}+4a^{2}+5a\\right){x}^{2}+\\left(7a^{5}-6a^{4}-34a^{3}-4a^{2}+18a+5\\right){x}+19a^{5}-13a^{4}-93a^{3}-28a^{2}+40a+15"
"377.3-d3"	"377.3-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	377	1	[2]	0	"1.2.A.1.1a"	[[1, 4, 0, -5, -1, 1], [3, 1, -5, -1, 1, 0], [-3, 0, 8, -2, -3, 1], [-42, 50, 102, -99, -50, 27], [61, 39, -133, -102, 14, 15]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+4a+1\\right){x}{y}+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}-3\\right){y}={x}^{3}+\\left(a^{4}-a^{3}-5a^{2}+a+3\\right){x}^{2}+\\left(27a^{5}-50a^{4}-99a^{3}+102a^{2}+50a-42\\right){x}+15a^{5}+14a^{4}-102a^{3}-133a^{2}+39a+61"
"377.3-d4"	"377.3-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	377	1	[2]	0	"1.2.A.1.1a"	[[1, 0, 0, 0, 0, 0], [3, 3, -11, 0, 4, -1], [1, 3, -3, -2, 1, 0], [-9, -22, -18, 30, 11, -7], [3, 37, 27, -41, -14, 9]]	"{y}^2+{x}{y}+\\left(a^{4}-2a^{3}-3a^{2}+3a+1\\right){y}={x}^{3}+\\left(-a^{5}+4a^{4}-11a^{2}+3a+3\\right){x}^{2}+\\left(-7a^{5}+11a^{4}+30a^{3}-18a^{2}-22a-9\\right){x}+9a^{5}-14a^{4}-41a^{3}+27a^{2}+37a+3"
"377.4-a1"	"377.4-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	377	"0 \\le r \\le 1"	[]	0	"1.2.A.1.1a"	[[-2, 1, 11, -5, -5, 2], [3, 0, -4, -1, 1, 0], [1, 5, 4, -8, -3, 2], [3, -2, -41, 20, 20, -8], [25, 19, -171, 53, 75, -27]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+a-2\\right){x}{y}+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a+1\\right){y}={x}^{3}+\\left(a^{4}-a^{3}-4a^{2}+3\\right){x}^{2}+\\left(-8a^{5}+20a^{4}+20a^{3}-41a^{2}-2a+3\\right){x}-27a^{5}+75a^{4}+53a^{3}-171a^{2}+19a+25"
"377.4-a2"	"377.4-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	377	"0 \\le r \\le 1"	[]	0	"1.2.A.1.1a"	[[-3, 0, 12, -5, -5, 2], [3, 1, -14, 3, 6, -2], [-1, 1, 7, -6, -4, 2], [0, -4, -7, 6, 4, -2], [27, 18, -134, 37, 56, -20]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-3\\right){x}{y}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+a-1\\right){y}={x}^{3}+\\left(-2a^{5}+6a^{4}+3a^{3}-14a^{2}+a+3\\right){x}^{2}+\\left(-2a^{5}+4a^{4}+6a^{3}-7a^{2}-4a\\right){x}-20a^{5}+56a^{4}+37a^{3}-134a^{2}+18a+27"
"433.1-a1"	"433.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	433	1	[2]	0	"1.2.A.1.1a"	[[1, 3, -3, -2, 1, 0], [0, 0, 3, -3, -2, 1], [1, 1, 3, -3, -2, 1], [-86, 31, 187, -79, -68, 27], [234, -163, -563, 294, 216, -92]]	"{y}^2+\\left(a^{4}-2a^{3}-3a^{2}+3a+1\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a+1\\right){y}={x}^{3}+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}\\right){x}^{2}+\\left(27a^{5}-68a^{4}-79a^{3}+187a^{2}+31a-86\\right){x}-92a^{5}+216a^{4}+294a^{3}-563a^{2}-163a+234"
"433.1-a2"	"433.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	433	1	[2]	0	"1.2.A.1.1a"	[[-1, 3, 5, -4, -2, 1], [-3, -2, 11, 0, -4, 1], [-3, 0, 8, -2, -3, 1], [-5, 0, 13, -1, -4, 1], [0, 0, 0, 0, 0, 0]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-1\\right){x}{y}+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}-3\\right){y}={x}^{3}+\\left(a^{5}-4a^{4}+11a^{2}-2a-3\\right){x}^{2}+\\left(a^{5}-4a^{4}-a^{3}+13a^{2}-5\\right){x}"
"433.1-a3"	"433.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	433	1	[2]	0	"1.2.A.1.1a"	[[1, 4, -3, -2, 1, 0], [-3, -1, 4, 1, -1, 0], [1, 1, 0, 0, 0, 0], [-7, 2, 21, -13, -11, 5], [-3, -1, 5, 2, 1, -1]]	"{y}^2+\\left(a^{4}-2a^{3}-3a^{2}+4a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^{3}+\\left(-a^{4}+a^{3}+4a^{2}-a-3\\right){x}^{2}+\\left(5a^{5}-11a^{4}-13a^{3}+21a^{2}+2a-7\\right){x}-a^{5}+a^{4}+2a^{3}+5a^{2}-a-3"
"433.1-a4"	"433.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	433	1	[2]	0	"1.2.A.1.1a"	[[1, 4, -3, -2, 1, 0], [-3, -1, 4, 1, -1, 0], [1, 1, 0, 0, 0, 0], [18, 52, -59, -108, -6, 20], [-86, -247, 142, 590, 96, -124]]	"{y}^2+\\left(a^{4}-2a^{3}-3a^{2}+4a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^{3}+\\left(-a^{4}+a^{3}+4a^{2}-a-3\\right){x}^{2}+\\left(20a^{5}-6a^{4}-108a^{3}-59a^{2}+52a+18\\right){x}-124a^{5}+96a^{4}+590a^{3}+142a^{2}-247a-86"
"433.1-b1"	"433.1-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	433	0	[2]	0	"1.2.A.1.1a"	[[-3, 1, 8, -2, -3, 1], [-1, -1, 2, 2, -1, 0], [-1, 4, 8, -7, -4, 2], [31, 62, -75, -17, 29, -6], [-300, -1170, -618, 1210, 404, -268]]	"{y}^2+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}+a-3\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+4a-1\\right){y}={x}^{3}+\\left(-a^{4}+2a^{3}+2a^{2}-a-1\\right){x}^{2}+\\left(-6a^{5}+29a^{4}-17a^{3}-75a^{2}+62a+31\\right){x}-268a^{5}+404a^{4}+1210a^{3}-618a^{2}-1170a-300"
"433.1-b2"	"433.1-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	433	0	[2]	0	"1.2.A.1.1a"	[[-3, 5, 12, -10, -6, 3], [-1, 3, -2, -2, 1, 0], [1, 4, 0, -5, -1, 1], [-12, 6, 29, -18, -13, 6], [-10, 8, 22, -17, -10, 5]]	"{y}^2+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+5a-3\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+4a+1\\right){y}={x}^{3}+\\left(a^{4}-2a^{3}-2a^{2}+3a-1\\right){x}^{2}+\\left(6a^{5}-13a^{4}-18a^{3}+29a^{2}+6a-12\\right){x}+5a^{5}-10a^{4}-17a^{3}+22a^{2}+8a-10"
"433.2-a1"	"433.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	433	1	[]	0	"1.2.A.1.1a"	[[-2, 3, 9, -7, -4, 2], [0, 2, -1, 0, 0, 0], [0, 1, 7, -6, -4, 2], [3, 1, -14, 3, 6, -2], [1, 0, -8, 2, 3, -1]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+3a-2\\right){x}{y}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+a\\right){y}={x}^{3}+\\left(-a^{2}+2a\\right){x}^{2}+\\left(-2a^{5}+6a^{4}+3a^{3}-14a^{2}+a+3\\right){x}-a^{5}+3a^{4}+2a^{3}-8a^{2}+1"
"433.3-a1"	"433.3-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	433	1	[]	0	"1.2.A.1.1a"	[[1, 3, 1, -5, -1, 1], [-1, -4, 7, -1, -3, 1], [-1, 4, 8, -7, -4, 2], [-5, -5, 20, -6, -8, 3], [-4, -4, 15, -3, -6, 2]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+3a+1\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+4a-1\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-a^{3}+7a^{2}-4a-1\\right){x}^{2}+\\left(3a^{5}-8a^{4}-6a^{3}+20a^{2}-5a-5\\right){x}+2a^{5}-6a^{4}-3a^{3}+15a^{2}-4a-4"
"433.4-a1"	"433.4-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	433	1	[2]	0	"1.2.A.1.1a"	[[-3, 1, 8, -2, -3, 1], [-1, 4, 1, -5, -1, 1], [-1, 0, 4, -3, -2, 1], [1, -11, -30, 26, 16, -8], [-7, 7, 59, -33, -28, 12]]	"{y}^2+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}+a-3\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}-1\\right){y}={x}^{3}+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+4a-1\\right){x}^{2}+\\left(-8a^{5}+16a^{4}+26a^{3}-30a^{2}-11a+1\\right){x}+12a^{5}-28a^{4}-33a^{3}+59a^{2}+7a-7"
"433.4-a2"	"433.4-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	433	1	[2]	0	"1.2.A.1.1a"	[[1, 3, -3, -2, 1, 0], [-3, 3, 2, -1, 0, 0], [0, 1, 3, -3, -2, 1], [-4, 22, 35, -28, -18, 8], [22, -47, -83, 60, 35, -15]]	"{y}^2+\\left(a^{4}-2a^{3}-3a^{2}+3a+1\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a\\right){y}={x}^{3}+\\left(-a^{3}+2a^{2}+3a-3\\right){x}^{2}+\\left(8a^{5}-18a^{4}-28a^{3}+35a^{2}+22a-4\\right){x}-15a^{5}+35a^{4}+60a^{3}-83a^{2}-47a+22"
"433.4-a3"	"433.4-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	433	1	[2]	0	"1.2.A.1.1a"	[[-1, 3, 5, -4, -2, 1], [2, 2, -3, -2, 1, 0], [-1, 3, 5, -4, -2, 1], [1, 1, -6, 1, 3, -1], [0, -1, -3, 3, 2, -1]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-1\\right){x}{y}+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-1\\right){y}={x}^{3}+\\left(a^{4}-2a^{3}-3a^{2}+2a+2\\right){x}^{2}+\\left(-a^{5}+3a^{4}+a^{3}-6a^{2}+a+1\\right){x}-a^{5}+2a^{4}+3a^{3}-3a^{2}-a"
"433.4-a4"	"433.4-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	433	1	[2]	0	"1.2.A.1.1a"	[[-3, 1, 8, -2, -3, 1], [-1, 4, 1, -5, -1, 1], [-1, 0, 4, -3, -2, 1], [91, 59, -470, 141, 201, -73], [-580, -388, 2877, -858, -1234, 448]]	"{y}^2+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}+a-3\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}-1\\right){y}={x}^{3}+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+4a-1\\right){x}^{2}+\\left(-73a^{5}+201a^{4}+141a^{3}-470a^{2}+59a+91\\right){x}+448a^{5}-1234a^{4}-858a^{3}+2877a^{2}-388a-580"
"433.4-b1"	"433.4-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	433	0	[2]	0	"1.2.A.1.1a"	[[0, 2, 7, -6, -4, 2], [-4, -1, 9, -2, -3, 1], [-4, 0, 12, -5, -5, 2], [-80, 54, 190, -101, -72, 31], [244, -168, -552, 307, 185, -83]]	"{y}^2+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-4\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-2a^{3}+9a^{2}-a-4\\right){x}^{2}+\\left(31a^{5}-72a^{4}-101a^{3}+190a^{2}+54a-80\\right){x}-83a^{5}+185a^{4}+307a^{3}-552a^{2}-168a+244"
"433.4-b2"	"433.4-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	433	0	[2]	0	"1.2.A.1.1a"	[[-3, 2, 15, -8, -7, 3], [-2, 0, 7, -2, -3, 1], [0, 0, 0, 0, 0, 0], [-7, -10, 25, -2, -10, 3], [0, 0, 0, 0, 0, 0]]	"{y}^2+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+2a-3\\right){x}{y}={x}^{3}+\\left(a^{5}-3a^{4}-2a^{3}+7a^{2}-2\\right){x}^{2}+\\left(3a^{5}-10a^{4}-2a^{3}+25a^{2}-10a-7\\right){x}"
"449.1-a1"	"449.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	449	1	[2]	0	"1.2.A.1.1a"	[[0, 1, 7, -6, -4, 2], [-3, 1, 2, -1, 0, 0], [-2, 1, 8, -2, -3, 1], [4, -5, -15, 13, 8, -4], [-1, 3, 4, -8, -3, 2]]	"{y}^2+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+a\\right){x}{y}+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}+a-2\\right){y}={x}^{3}+\\left(-a^{3}+2a^{2}+a-3\\right){x}^{2}+\\left(-4a^{5}+8a^{4}+13a^{3}-15a^{2}-5a+4\\right){x}+2a^{5}-3a^{4}-8a^{3}+4a^{2}+3a-1"
"449.1-a2"	"449.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	449	1	[2]	0	"1.2.A.1.1a"	[[0, 1, 7, -6, -4, 2], [-3, 1, 2, -1, 0, 0], [-2, 1, 8, -2, -3, 1], [14, -10, -90, 53, 43, -19], [-18, 8, 126, -61, -58, 24]]	"{y}^2+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+a\\right){x}{y}+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}+a-2\\right){y}={x}^{3}+\\left(-a^{3}+2a^{2}+a-3\\right){x}^{2}+\\left(-19a^{5}+43a^{4}+53a^{3}-90a^{2}-10a+14\\right){x}+24a^{5}-58a^{4}-61a^{3}+126a^{2}+8a-18"
"449.2-a1"	"449.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	449	0	[]	0	"1.2.A.1.1a"	[[1, 2, 3, -3, -2, 1], [-2, -3, 6, -1, -3, 1], [-2, 5, 12, -10, -6, 3], [-94, -56, 296, -63, -119, 40], [-283, -160, 1050, -277, -434, 153]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+2a+1\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+5a-2\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-a^{3}+6a^{2}-3a-2\\right){x}^{2}+\\left(40a^{5}-119a^{4}-63a^{3}+296a^{2}-56a-94\\right){x}+153a^{5}-434a^{4}-277a^{3}+1050a^{2}-160a-283"
"449.2-a2"	"449.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	449	0	[3]	0	"1.2.A.1.1a"	[[-2, 4, 12, -10, -6, 3], [3, 2, -7, 1, 3, -1], [-1, 4, 5, -4, -2, 1], [-11, 2, 25, 0, -6, 1], [-19, 7, 44, -12, -15, 5]]	"{y}^2+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-2\\right){x}{y}+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-1\\right){y}={x}^{3}+\\left(-a^{5}+3a^{4}+a^{3}-7a^{2}+2a+3\\right){x}^{2}+\\left(a^{5}-6a^{4}+25a^{2}+2a-11\\right){x}+5a^{5}-15a^{4}-12a^{3}+44a^{2}+7a-19"
"449.3-a1"	"449.3-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	449	1	[2]	0	"1.2.A.1.1a"	[[0, 3, 1, -5, -1, 1], [2, -1, 2, -2, -2, 1], [2, 4, -3, -2, 1, 0], [16, -15, -33, 22, 13, -6], [64, -44, -152, 79, 59, -25]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+3a\\right){x}{y}+\\left(a^{4}-2a^{3}-3a^{2}+4a+2\\right){y}={x}^{3}+\\left(a^{5}-2a^{4}-2a^{3}+2a^{2}-a+2\\right){x}^{2}+\\left(-6a^{5}+13a^{4}+22a^{3}-33a^{2}-15a+16\\right){x}-25a^{5}+59a^{4}+79a^{3}-152a^{2}-44a+64"
"449.3-a2"	"449.3-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	449	1	[2]	0	"1.2.A.1.1a"	[[0, 3, 1, -5, -1, 1], [2, -1, 2, -2, -2, 1], [2, 4, -3, -2, 1, 0], [-154, 90, 367, -178, -142, 59], [444, -284, -1046, 527, 404, -170]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+3a\\right){x}{y}+\\left(a^{4}-2a^{3}-3a^{2}+4a+2\\right){y}={x}^{3}+\\left(a^{5}-2a^{4}-2a^{3}+2a^{2}-a+2\\right){x}^{2}+\\left(59a^{5}-142a^{4}-178a^{3}+367a^{2}+90a-154\\right){x}-170a^{5}+404a^{4}+527a^{3}-1046a^{2}-284a+444"
"449.4-a1"	"449.4-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	449	0	[]	0	"1.2.A.1.1a"	[[-2, 5, 8, -7, -4, 2], [-2, 0, 5, 1, -1, 0], [0, 3, 1, -5, -1, 1], [-19, -40, 28, 74, 4, -13], [-61, -152, 105, 315, 25, -58]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-2\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+3a\\right){y}={x}^{3}+\\left(-a^{4}+a^{3}+5a^{2}-2\\right){x}^{2}+\\left(-13a^{5}+4a^{4}+74a^{3}+28a^{2}-40a-19\\right){x}-58a^{5}+25a^{4}+315a^{3}+105a^{2}-152a-61"
"449.4-a2"	"449.4-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	449	0	[3]	0	"1.2.A.1.1a"	[[-3, 4, 9, -7, -4, 2], [3, 3, -7, -3, 2, 0], [-4, 2, 15, -8, -7, 3], [18, 63, 22, -59, -16, 12], [-194, -679, -232, 648, 178, -133]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+4a-3\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+2a-4\\right){y}={x}^{3}+\\left(2a^{4}-3a^{3}-7a^{2}+3a+3\\right){x}^{2}+\\left(12a^{5}-16a^{4}-59a^{3}+22a^{2}+63a+18\\right){x}-133a^{5}+178a^{4}+648a^{3}-232a^{2}-679a-194"
"449.5-a1"	"449.5-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	449	"0 \\le r \\le 1"	[]	0	"1.2.A.1.1a"	[[1, 1, 0, 0, 0, 0], [2, -2, -11, 5, 5, -2], [-4, 1, 15, -8, -7, 3], [5, 7, -38, 4, 14, -4], [-3, 15, 9, -39, -11, 9]]	"{y}^2+\\left(a+1\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-4\\right){y}={x}^{3}+\\left(-2a^{5}+5a^{4}+5a^{3}-11a^{2}-2a+2\\right){x}^{2}+\\left(-4a^{5}+14a^{4}+4a^{3}-38a^{2}+7a+5\\right){x}+9a^{5}-11a^{4}-39a^{3}+9a^{2}+15a-3"
"449.5-b1"	"449.5-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	449	"0 \\le r \\le 3"	[8]	0	"1.2.A.1.1a"	[[0, 5, 4, -8, -3, 2], [2, -1, -4, 3, 2, -1], [-2, 5, 8, -7, -4, 2], [-4, -11, 5, 24, 4, -5], [-7, -14, 13, 31, 3, -6]]	"{y}^2+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-2\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+3a^{3}-4a^{2}-a+2\\right){x}^{2}+\\left(-5a^{5}+4a^{4}+24a^{3}+5a^{2}-11a-4\\right){x}-6a^{5}+3a^{4}+31a^{3}+13a^{2}-14a-7"
"449.5-b2"	"449.5-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	449	"0 \\le r \\le 3"	[2, 4]	0	"1.2.A.1.1a"	[[0, 5, 4, -8, -3, 2], [2, -1, -4, 3, 2, -1], [-2, 5, 8, -7, -4, 2], [-9, -11, 5, 24, 4, -5], [-1, -8, -5, 26, 7, -6]]	"{y}^2+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-2\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+3a^{3}-4a^{2}-a+2\\right){x}^{2}+\\left(-5a^{5}+4a^{4}+24a^{3}+5a^{2}-11a-9\\right){x}-6a^{5}+7a^{4}+26a^{3}-5a^{2}-8a-1"
"449.5-b3"	"449.5-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	449	"0 \\le r \\le 3"	[2, 2]	0	"1.2.A.1.1a"	[[0, 5, 4, -8, -3, 2], [2, -1, -4, 3, 2, -1], [-2, 5, 8, -7, -4, 2], [31, 19, -185, 74, 74, -30], [159, 122, -750, 188, 271, -95]]	"{y}^2+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-2\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+3a^{3}-4a^{2}-a+2\\right){x}^{2}+\\left(-30a^{5}+74a^{4}+74a^{3}-185a^{2}+19a+31\\right){x}-95a^{5}+271a^{4}+188a^{3}-750a^{2}+122a+159"
"449.5-b4"	"449.5-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	449	"0 \\le r \\le 3"	[2]	0	"1.2.A.1.1a"	[[1, 2, 3, -3, -2, 1], [2, 4, 0, -5, -1, 1], [1, 4, -3, -2, 1, 0], [-354, 180, 875, -336, -402, 135], [-1523, 235, 4060, -323, -2150, 329]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+2a+1\\right){x}{y}+\\left(a^{4}-2a^{3}-3a^{2}+4a+1\\right){y}={x}^{3}+\\left(a^{5}-a^{4}-5a^{3}+4a+2\\right){x}^{2}+\\left(135a^{5}-402a^{4}-336a^{3}+875a^{2}+180a-354\\right){x}+329a^{5}-2150a^{4}-323a^{3}+4060a^{2}+235a-1523"
"449.5-b5"	"449.5-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	449	"0 \\le r \\le 3"	[4]	0	"1.2.A.1.1a"	[[0, 5, 4, -8, -3, 2], [2, -1, -4, 3, 2, -1], [-2, 5, 8, -7, -4, 2], [-129, -41, 195, -26, -66, 20], [383, 126, -612, 64, 199, -57]]	"{y}^2+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-2\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+3a^{3}-4a^{2}-a+2\\right){x}^{2}+\\left(20a^{5}-66a^{4}-26a^{3}+195a^{2}-41a-129\\right){x}-57a^{5}+199a^{4}+64a^{3}-612a^{2}+126a+383"
"449.5-b6"	"449.5-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	449	"0 \\le r \\le 3"	[2]	0	"1.2.A.1.1a"	[[1, 5, 0, -5, -1, 1], [2, 2, -1, 0, 0, 0], [1, 5, 0, -5, -1, 1], [141, 191, -367, 6, 120, -32], [22729, -4471, -46515, 16787, 16898, -6388]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+5a+1\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+5a+1\\right){y}={x}^{3}+\\left(-a^{2}+2a+2\\right){x}^{2}+\\left(-32a^{5}+120a^{4}+6a^{3}-367a^{2}+191a+141\\right){x}-6388a^{5}+16898a^{4}+16787a^{3}-46515a^{2}-4471a+22729"
"449.5-c1"	"449.5-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	449	0	[3]	0	"1.2.A.1.1a"	[[1, 2, 3, -3, -2, 1], [-3, -3, 10, -4, -5, 2], [-1, 0, 4, -3, -2, 1], [6, 5, -32, 13, 15, -6], [15, 11, -70, 17, 29, -10]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+2a+1\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}-1\\right){y}={x}^{3}+\\left(2a^{5}-5a^{4}-4a^{3}+10a^{2}-3a-3\\right){x}^{2}+\\left(-6a^{5}+15a^{4}+13a^{3}-32a^{2}+5a+6\\right){x}-10a^{5}+29a^{4}+17a^{3}-70a^{2}+11a+15"
"449.5-c2"	"449.5-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	449	0	[]	0	"1.2.A.1.1a"	[[-2, 4, 9, -7, -4, 2], [0, -4, 3, 2, -1, 0], [-2, 5, 12, -10, -6, 3], [7, -24, -114, 60, 55, -23], [-80, -513, -617, 663, 329, -176]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+4a-2\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+5a-2\\right){y}={x}^{3}+\\left(-a^{4}+2a^{3}+3a^{2}-4a\\right){x}^{2}+\\left(-23a^{5}+55a^{4}+60a^{3}-114a^{2}-24a+7\\right){x}-176a^{5}+329a^{4}+663a^{3}-617a^{2}-513a-80"
"449.6-a1"	"449.6-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	449	"0 \\le r \\le 1"	[]	0	"1.2.A.1.1a"	[[-1, 4, 5, -4, -2, 1], [3, 1, -5, -1, 1, 0], [0, 1, 7, -6, -4, 2], [7, 1, -50, 14, 20, -7], [20, 27, -107, 25, 46, -16]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-1\\right){x}{y}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+a\\right){y}={x}^{3}+\\left(a^{4}-a^{3}-5a^{2}+a+3\\right){x}^{2}+\\left(-7a^{5}+20a^{4}+14a^{3}-50a^{2}+a+7\\right){x}-16a^{5}+46a^{4}+25a^{3}-107a^{2}+27a+20"
"449.6-b1"	"449.6-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	449	1	[8]	0	"1.2.A.1.1a"	[[0, 2, 7, -6, -4, 2], [1, 0, -1, -4, -1, 1], [-4, 1, 15, -8, -7, 3], [0, -2, 0, 5, 1, -1], [0, 4, 0, -9, -2, 2]]	"{y}^2+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-4\\right){y}={x}^{3}+\\left(a^{5}-a^{4}-4a^{3}-a^{2}+1\\right){x}^{2}+\\left(-a^{5}+a^{4}+5a^{3}-2a\\right){x}+2a^{5}-2a^{4}-9a^{3}+4a"
"449.6-b2"	"449.6-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	449	1	[2, 4]	0	"1.2.A.1.1a"	[[0, 2, 7, -6, -4, 2], [1, 0, -1, -4, -1, 1], [-4, 1, 15, -8, -7, 3], [-5, -2, 0, 5, 1, -1], [-7, 4, 4, -6, -1, 1]]	"{y}^2+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-4\\right){y}={x}^{3}+\\left(a^{5}-a^{4}-4a^{3}-a^{2}+1\\right){x}^{2}+\\left(-a^{5}+a^{4}+5a^{3}-2a-5\\right){x}+a^{5}-a^{4}-6a^{3}+4a^{2}+4a-7"
"449.6-b3"	"449.6-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	449	1	[2, 2]	0	"1.2.A.1.1a"	[[0, 2, 7, -6, -4, 2], [1, 0, -1, -4, -1, 1], [-4, 1, 15, -8, -7, 3], [-105, -2, 120, -55, -44, 19], [-428, -9, 561, -172, -185, 68]]	"{y}^2+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-4\\right){y}={x}^{3}+\\left(a^{5}-a^{4}-4a^{3}-a^{2}+1\\right){x}^{2}+\\left(19a^{5}-44a^{4}-55a^{3}+120a^{2}-2a-105\\right){x}+68a^{5}-185a^{4}-172a^{3}+561a^{2}-9a-428"
"449.6-b4"	"449.6-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	449	1	[2]	0	"1.2.A.1.1a"	[[0, 2, 7, -6, -4, 2], [1, 0, -1, -4, -1, 1], [-4, 1, 15, -8, -7, 3], [-310, -1282, -1340, 1590, 746, -411], [-4146, -18654, -16042, 21867, 9263, -5384]]	"{y}^2+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-4\\right){y}={x}^{3}+\\left(a^{5}-a^{4}-4a^{3}-a^{2}+1\\right){x}^{2}+\\left(-411a^{5}+746a^{4}+1590a^{3}-1340a^{2}-1282a-310\\right){x}-5384a^{5}+9263a^{4}+21867a^{3}-16042a^{2}-18654a-4146"
"449.6-b5"	"449.6-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	449	1	[4]	0	"1.2.A.1.1a"	[[0, 2, 7, -6, -4, 2], [1, 0, -1, -4, -1, 1], [-4, 1, 15, -8, -7, 3], [15, -2, -120, 65, 46, -21], [-34, 17, 183, -128, -53, 30]]	"{y}^2+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-4\\right){y}={x}^{3}+\\left(a^{5}-a^{4}-4a^{3}-a^{2}+1\\right){x}^{2}+\\left(-21a^{5}+46a^{4}+65a^{3}-120a^{2}-2a+15\\right){x}+30a^{5}-53a^{4}-128a^{3}+183a^{2}+17a-34"
"449.6-b6"	"449.6-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	449	1	[2]	0	"1.2.A.1.1a"	[[-2, 4, 8, -7, -4, 2], [-4, 0, 5, 1, -1, 0], [0, 0, 4, -3, -2, 1], [362, 1101, -690, -2592, -382, 533], [10933, 30270, -20884, -70649, -9792, 14425]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+4a-2\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}\\right){y}={x}^{3}+\\left(-a^{4}+a^{3}+5a^{2}-4\\right){x}^{2}+\\left(533a^{5}-382a^{4}-2592a^{3}-690a^{2}+1101a+362\\right){x}+14425a^{5}-9792a^{4}-70649a^{3}-20884a^{2}+30270a+10933"
"449.6-c1"	"449.6-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	449	0	[3]	0	"1.2.A.1.1a"	[[-2, 5, 8, -7, -4, 2], [2, 0, -7, 6, 4, -2], [0, 5, 4, -8, -3, 2], [1, 0, -4, -1, 1, 0], [4, 10, -9, -25, -3, 5]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-2\\right){x}{y}+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a\\right){y}={x}^{3}+\\left(-2a^{5}+4a^{4}+6a^{3}-7a^{2}+2\\right){x}^{2}+\\left(a^{4}-a^{3}-4a^{2}+1\\right){x}+5a^{5}-3a^{4}-25a^{3}-9a^{2}+10a+4"
"449.6-c2"	"449.6-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	449	0	[]	0	"1.2.A.1.1a"	[[-3, 1, 12, -5, -5, 2], [2, 0, -4, 3, 2, -1], [-4, 2, 15, -8, -7, 3], [5, 52, 5, -56, -14, 12], [-13, 51, 55, -99, -99, 48]]	"{y}^2+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}+a-3\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+2a-4\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+3a^{3}-4a^{2}+2\\right){x}^{2}+\\left(12a^{5}-14a^{4}-56a^{3}+5a^{2}+52a+5\\right){x}+48a^{5}-99a^{4}-99a^{3}+55a^{2}+51a-13"
"461.1-a1"	"461.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	461	1	[]	0	"1.2.A.1.1a"	[[-3, 4, 12, -10, -6, 3], [0, 2, -2, -2, 1, 0], [-3, 2, 15, -8, -7, 3], [-3, -11, -13, 18, 9, -5], [1, -1, -10, 9, 6, -3]]	"{y}^2+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-3\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+2a-3\\right){y}={x}^{3}+\\left(a^{4}-2a^{3}-2a^{2}+2a\\right){x}^{2}+\\left(-5a^{5}+9a^{4}+18a^{3}-13a^{2}-11a-3\\right){x}-3a^{5}+6a^{4}+9a^{3}-10a^{2}-a+1"
"461.2-a1"	"461.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	461	1	[]	0	"1.2.A.1.1a"	[[1, 4, 4, -8, -3, 2], [3, -2, -7, 2, 3, -1], [-3, 1, 15, -8, -7, 3], [7, -5, -23, 15, 11, -5], [6, -4, -22, 17, 10, -5]]	"{y}^2+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+4a+1\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-3\\right){y}={x}^{3}+\\left(-a^{5}+3a^{4}+2a^{3}-7a^{2}-2a+3\\right){x}^{2}+\\left(-5a^{5}+11a^{4}+15a^{3}-23a^{2}-5a+7\\right){x}-5a^{5}+10a^{4}+17a^{3}-22a^{2}-4a+6"
"463.1-a1"	"463.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	463	1	[2]	0	"1.2.A.1.1a"	[[0, 1, 7, -6, -4, 2], [-3, 4, 5, -4, -2, 1], [0, 1, 4, -3, -2, 1], [-236, 144, 536, -291, -217, 94], [-1051, 710, 2453, -1398, -994, 439]]	"{y}^2+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+a\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}+a\\right){y}={x}^{3}+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-3\\right){x}^{2}+\\left(94a^{5}-217a^{4}-291a^{3}+536a^{2}+144a-236\\right){x}+439a^{5}-994a^{4}-1398a^{3}+2453a^{2}+710a-1051"
"463.1-a2"	"463.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	463	1	[2]	0	"1.2.A.1.1a"	[[-3, 0, 8, -2, -3, 1], [3, -5, -8, 7, 4, -2], [0, 1, 7, -6, -4, 2], [17, 24, -14, -14, 3, 1], [-262, -929, -323, 889, 246, -183]]	"{y}^2+\\left(a^{5}-3a^{4}-2a^{3}+8a^{2}-3\\right){x}{y}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+a\\right){y}={x}^{3}+\\left(-2a^{5}+4a^{4}+7a^{3}-8a^{2}-5a+3\\right){x}^{2}+\\left(a^{5}+3a^{4}-14a^{3}-14a^{2}+24a+17\\right){x}-183a^{5}+246a^{4}+889a^{3}-323a^{2}-929a-262"
"463.1-b1"	"463.1-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	463	1	[]	0	"1.2.A.1.1a"	[[1, 4, 1, -5, -1, 1], [-2, -5, 4, 2, -1, 0], [0, 2, 3, -3, -2, 1], [-10, -35, -12, 33, 10, -7], [-31, -112, -44, 110, 32, -23]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+4a+1\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+2a\\right){y}={x}^{3}+\\left(-a^{4}+2a^{3}+4a^{2}-5a-2\\right){x}^{2}+\\left(-7a^{5}+10a^{4}+33a^{3}-12a^{2}-35a-10\\right){x}-23a^{5}+32a^{4}+110a^{3}-44a^{2}-112a-31"
"463.1-b2"	"463.1-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	463	1	[]	0	"1.2.A.1.1a"	[[-3, 4, 9, -7, -4, 2], [1, 1, 3, -3, -2, 1], [-3, 0, 12, -5, -5, 2], [51, 169, 52, -162, -43, 33], [373, 1286, 407, -1220, -325, 248]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+4a-3\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-3\\right){y}={x}^{3}+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a+1\\right){x}^{2}+\\left(33a^{5}-43a^{4}-162a^{3}+52a^{2}+169a+51\\right){x}+248a^{5}-325a^{4}-1220a^{3}+407a^{2}+1286a+373"
"463.1-c1"	"463.1-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	463	0	[2]	0	"1.2.A.1.1a"	[[0, 1, 3, -3, -2, 1], [-4, -1, 10, 0, -4, 1], [-3, 4, 9, -7, -4, 2], [-2, 1, 3, -1, 0, 0], [-2, 4, 4, -8, -3, 2]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+4a-3\\right){y}={x}^{3}+\\left(a^{5}-4a^{4}+10a^{2}-a-4\\right){x}^{2}+\\left(-a^{3}+3a^{2}+a-2\\right){x}+2a^{5}-3a^{4}-8a^{3}+4a^{2}+4a-2"
"463.1-c2"	"463.1-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	463	0	[2]	0	"1.2.A.1.1a"	[[-2, 4, 8, -7, -4, 2], [-3, -4, 4, 2, -1, 0], [-3, 0, 12, -5, -5, 2], [-207, -661, -133, 596, 133, -114], [1797, 6094, 1701, -5678, -1436, 1133]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+4a-2\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-3\\right){y}={x}^{3}+\\left(-a^{4}+2a^{3}+4a^{2}-4a-3\\right){x}^{2}+\\left(-114a^{5}+133a^{4}+596a^{3}-133a^{2}-661a-207\\right){x}+1133a^{5}-1436a^{4}-5678a^{3}+1701a^{2}+6094a+1797"
"463.1-d1"	"463.1-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	463	1	[]	0	"1.2.A.1.1a"	[[0, 4, 1, -5, -1, 1], [1, 5, -4, -2, 1, 0], [0, 1, 4, -3, -2, 1], [-7, 1, 21, -8, -8, 3], [7, -4, -18, 9, 7, -3]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+4a\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}+a\\right){y}={x}^{3}+\\left(a^{4}-2a^{3}-4a^{2}+5a+1\\right){x}^{2}+\\left(3a^{5}-8a^{4}-8a^{3}+21a^{2}+a-7\\right){x}-3a^{5}+7a^{4}+9a^{3}-18a^{2}-4a+7"
"463.2-a1"	"463.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	463	1	[2]	0	"1.2.A.1.1a"	[[-4, 1, 15, -8, -7, 3], [-1, -1, 0, 0, 0, 0], [1, 4, 1, -5, -1, 1], [13, -28, -149, 87, 67, -31], [114, -1, -721, 315, 315, -134]]	"{y}^2+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-4\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+4a+1\\right){y}={x}^{3}+\\left(-a-1\\right){x}^{2}+\\left(-31a^{5}+67a^{4}+87a^{3}-149a^{2}-28a+13\\right){x}-134a^{5}+315a^{4}+315a^{3}-721a^{2}-a+114"
"463.2-a2"	"463.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	463	1	[2]	0	"1.2.A.1.1a"	[[-1, 3, 5, -4, -2, 1], [-2, 1, 4, -3, -2, 1], [-1, 0, 4, -3, -2, 1], [-77, 49, 180, -90, -69, 29], [269, -168, -633, 316, 243, -102]]	"{y}^2+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-1\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}-1\\right){y}={x}^{3}+\\left(a^{5}-2a^{4}-3a^{3}+4a^{2}+a-2\\right){x}^{2}+\\left(29a^{5}-69a^{4}-90a^{3}+180a^{2}+49a-77\\right){x}-102a^{5}+243a^{4}+316a^{3}-633a^{2}-168a+269"
"463.2-b1"	"463.2-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	463	1	[]	0	"1.2.A.1.1a"	[[-4, 1, 15, -8, -7, 3], [4, 1, -18, 6, 8, -3], [2, 3, -3, -2, 1, 0], [-52, 30, 129, -64, -50, 21], [101, -62, -238, 113, 90, -37]]	"{y}^2+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-4\\right){x}{y}+\\left(a^{4}-2a^{3}-3a^{2}+3a+2\\right){y}={x}^{3}+\\left(-3a^{5}+8a^{4}+6a^{3}-18a^{2}+a+4\\right){x}^{2}+\\left(21a^{5}-50a^{4}-64a^{3}+129a^{2}+30a-52\\right){x}-37a^{5}+90a^{4}+113a^{3}-238a^{2}-62a+101"
"463.2-b2"	"463.2-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	463	1	[]	0	"1.2.A.1.1a"	[[-2, 4, 12, -10, -6, 3], [-3, -3, 4, 2, -1, 0], [0, 1, 3, -3, -2, 1], [-1, 1, -7, 8, 6, -3], [14, 3, -62, 25, 28, -11]]	"{y}^2+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-2\\right){x}{y}+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a\\right){y}={x}^{3}+\\left(-a^{4}+2a^{3}+4a^{2}-3a-3\\right){x}^{2}+\\left(-3a^{5}+6a^{4}+8a^{3}-7a^{2}+a-1\\right){x}-11a^{5}+28a^{4}+25a^{3}-62a^{2}+3a+14"
"463.2-c1"	"463.2-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	463	0	[2]	0	"1.2.A.1.1a"	[[1, 1, 3, -3, -2, 1], [-2, 1, 6, -4, -2, 1], [-1, 4, 8, -7, -4, 2], [0, -8, -16, 11, 9, -4], [2, -7, -28, 16, 14, -6]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a+1\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+4a-1\\right){y}={x}^{3}+\\left(a^{5}-2a^{4}-4a^{3}+6a^{2}+a-2\\right){x}^{2}+\\left(-4a^{5}+9a^{4}+11a^{3}-16a^{2}-8a\\right){x}-6a^{5}+14a^{4}+16a^{3}-28a^{2}-7a+2"
"463.2-c2"	"463.2-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	463	0	[2]	0	"1.2.A.1.1a"	[[-3, 3, 9, -7, -4, 2], [-3, -4, 4, 2, -1, 0], [-3, 1, 15, -8, -7, 3], [-21, -2, 44, 25, -8, -3], [65, 99, -155, -219, 0, 37]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+3a-3\\right){x}{y}+\\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-3\\right){y}={x}^{3}+\\left(-a^{4}+2a^{3}+4a^{2}-4a-3\\right){x}^{2}+\\left(-3a^{5}-8a^{4}+25a^{3}+44a^{2}-2a-21\\right){x}+37a^{5}-219a^{3}-155a^{2}+99a+65"
"463.2-d1"	"463.2-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	463	1	[]	0	"1.2.A.1.1a"	[[0, 2, 3, -3, -2, 1], [1, -2, -5, 4, 2, -1], [-2, 4, 8, -7, -4, 2], [2, 5, -5, -14, -2, 3], [-5, -11, 9, 25, 3, -5]]	"{y}^2+\\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+2a\\right){x}{y}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+4a-2\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+4a^{3}-5a^{2}-2a+1\\right){x}^{2}+\\left(3a^{5}-2a^{4}-14a^{3}-5a^{2}+5a+2\\right){x}-5a^{5}+3a^{4}+25a^{3}+9a^{2}-11a-5"
"491.1-a1"	"491.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	491	0	[]	0	"1.2.A.1.1a"	[[1, 4, 0, -5, -1, 1], [-1, 0, 7, -6, -4, 2], [1, 5, 4, -8, -3, 2], [3, 1, -20, 3, 7, -2], [13, 5, -69, 29, 22, -9]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+4a+1\\right){x}{y}+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a+1\\right){y}={x}^{3}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}-1\\right){x}^{2}+\\left(-2a^{5}+7a^{4}+3a^{3}-20a^{2}+a+3\\right){x}-9a^{5}+22a^{4}+29a^{3}-69a^{2}+5a+13"
"491.1-a2"	"491.1-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	491	0	[]	0	"1.2.A.1.1a"	[[1, 3, 1, -5, -1, 1], [-1, 4, 1, -5, -1, 1], [1, 4, 1, -5, -1, 1], [-1, -2, 8, 11, 0, -2], [1, -2, -6, -1, 1, 0]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+3a+1\\right){x}{y}+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+4a+1\\right){y}={x}^{3}+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+4a-1\\right){x}^{2}+\\left(-2a^{5}+11a^{3}+8a^{2}-2a-1\\right){x}+a^{4}-a^{3}-6a^{2}-2a+1"
"491.1-b1"	"491.1-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	491	0	[]	0	"1.2.A.1.1a"	[[1, 4, 0, -5, -1, 1], [-4, 2, 11, -5, -5, 2], [0, 1, 0, 0, 0, 0], [-204, 124, 482, -232, -189, 78], [-841, 540, 1961, -1008, -735, 313]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+4a+1\\right){x}{y}+a{y}={x}^{3}+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+2a-4\\right){x}^{2}+\\left(78a^{5}-189a^{4}-232a^{3}+482a^{2}+124a-204\\right){x}+313a^{5}-735a^{4}-1008a^{3}+1961a^{2}+540a-841"
"491.1-c1"	"491.1-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	491	0	[]	0	"1.2.A.1.1a"	[[1, 3, 1, -5, -1, 1], [5, 2, -18, 6, 8, -3], [2, 4, -3, -2, 1, 0], [-11, -7, 34, 0, -7, 1], [2, -7, -16, 22, 10, -6]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+a^{2}+3a+1\\right){x}{y}+\\left(a^{4}-2a^{3}-3a^{2}+4a+2\\right){y}={x}^{3}+\\left(-3a^{5}+8a^{4}+6a^{3}-18a^{2}+2a+5\\right){x}^{2}+\\left(a^{5}-7a^{4}+34a^{2}-7a-11\\right){x}-6a^{5}+10a^{4}+22a^{3}-16a^{2}-7a+2"
"491.1-d1"	"491.1-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	491	1	[]	0	"1.2.A.1.1a"	[[1, 4, 4, -8, -3, 2], [1, 3, -10, 4, 5, -2], [-2, 1, 11, -5, -5, 2], [-4, -1, 38, 12, -10, 0], [0, -5, -1, 43, 13, -11]]	"{y}^2+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+4a+1\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+a-2\\right){y}={x}^{3}+\\left(-2a^{5}+5a^{4}+4a^{3}-10a^{2}+3a+1\\right){x}^{2}+\\left(-10a^{4}+12a^{3}+38a^{2}-a-4\\right){x}-11a^{5}+13a^{4}+43a^{3}-a^{2}-5a"
"491.2-a1"	"491.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	491	0	[]	0	"1.2.A.1.1a"	[[2, 4, 0, -5, -1, 1], [-1, -1, -3, 3, 2, -1], [-1, 2, 7, -6, -4, 2], [2, -5, -13, 2, 4, -1], [-21, -81, -37, 64, 20, -13]]	"{y}^2+\\left(a^{5}-a^{4}-5a^{3}+4a+2\\right){x}{y}+\\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a-1\\right){y}={x}^{3}+\\left(-a^{5}+2a^{4}+3a^{3}-3a^{2}-a-1\\right){x}^{2}+\\left(-a^{5}+4a^{4}+2a^{3}-13a^{2}-5a+2\\right){x}-13a^{5}+20a^{4}+64a^{3}-37a^{2}-81a-21"
"491.2-a2"	"491.2-a"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	491	0	[]	0	"1.2.A.1.1a"	[[-2, 3, 9, -7, -4, 2], [-2, 0, 7, -2, -3, 1], [-2, 4, 12, -10, -6, 3], [-20, -8, 81, -28, -34, 13], [-23, -4, 86, -31, -37, 14]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+3a-2\\right){x}{y}+\\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-2\\right){y}={x}^{3}+\\left(a^{5}-3a^{4}-2a^{3}+7a^{2}-2\\right){x}^{2}+\\left(13a^{5}-34a^{4}-28a^{3}+81a^{2}-8a-20\\right){x}+14a^{5}-37a^{4}-31a^{3}+86a^{2}-4a-23"
"491.2-b1"	"491.2-b"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	491	0	[]	0	"1.2.A.1.1a"	[[-3, 4, 9, -7, -4, 2], [4, 0, -15, 8, 7, -3], [0, 0, 0, 0, 0, 0], [-36, -142, -48, 137, 37, -28], [149, 509, 162, -482, -129, 98]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+4a-3\\right){x}{y}={x}^{3}+\\left(-3a^{5}+7a^{4}+8a^{3}-15a^{2}+4\\right){x}^{2}+\\left(-28a^{5}+37a^{4}+137a^{3}-48a^{2}-142a-36\\right){x}+98a^{5}-129a^{4}-482a^{3}+162a^{2}+509a+149"
"491.2-c1"	"491.2-c"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	491	0	[]	0	"1.2.A.1.1a"	[[-2, 3, 9, -7, -4, 2], [-1, 2, -2, -2, 1, 0], [-2, 1, 11, -5, -5, 2], [6, 30, 24, -35, -13, 8], [-15, -67, -50, 75, 30, -18]]	"{y}^2+\\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+3a-2\\right){x}{y}+\\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+a-2\\right){y}={x}^{3}+\\left(a^{4}-2a^{3}-2a^{2}+2a-1\\right){x}^{2}+\\left(8a^{5}-13a^{4}-35a^{3}+24a^{2}+30a+6\\right){x}-18a^{5}+30a^{4}+75a^{3}-50a^{2}-67a-15"
"491.2-d1"	"491.2-d"	"6.6.434581.1"	[-1, -2, 4, 5, -4, -2, 1]	491	1	[]	0	"1.2.A.1.1a"	[[0, 5, 4, -8, -3, 2], [-3, 3, 8, -7, -4, 2], [-1, 3, 5, -4, -2, 1], [-61, 31, 140, -58, -51, 20], [214, -150, -506, 286, 202, -89]]	"{y}^2+\\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a\\right){x}{y}+\\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-1\\right){y}={x}^{3}+\\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+3a-3\\right){x}^{2}+\\left(20a^{5}-51a^{4}-58a^{3}+140a^{2}+31a-61\\right){x}-89a^{5}+202a^{4}+286a^{3}-506a^{2}-150a+214"


#Label (short_label) --
#    The label of an elliptic curve over a number field $K$ has three components, denoting the conductor, the isogeny class and the isomorphism class:

#    - The conductor label is a label for the conductor, which is an integral ideal of the base field, whose format depends on the field but always includes the norm of the conductor.
#    - The isogeny class label normally consists of one or more letters a-z or A-Z; the ordering of the isogeny classes is based on lexicographical ordering of the Dirichlet coefficients of the L-series.  For this to be well-defined, a standard ordering is used for the primes of the base field.   In the case of elliptic curves $E$ defined over an imaginary quadratic field $K$, the isogeny class label has a prefix "CM" for curves with complex multiplication by an order in $K$ itself.
#    - The isomorphism class is a positive integer giving the index (starting at 1) of the curve in its isogeny class.

#    Together these give a label of the form $N.a1$ where $N$ is the conductor label, $a$ the class and $1$ the curve number.  Omitting the third component gives an isogeny class label, of the form $N.a$.

#    In addition, to specify the elliptic curve completely prepend the label of the base field to give a full label of the curve, for example 3.1.23.1-89.1-A1.

#    Where possible the labelling of isogeny classes matches that of associated cusp forms (Bianchi newforms over imaginary quadratic fields and Hilbert newforms over totally real fields).   The prefix "CM" on the isogeny class label for certain elliptic curves over imaginary quadratic fields is used, because the Bianchi modular forms conjecturally attached to such curves are not cuspidal.


#Class (short_class_label) --
#    The **isogeny class (over a field $K$)** of an elliptic curve $E$ defined over $K$ is the set of all isomorphism classes of elliptic curves defined over $K$ that are isogenous to $E$ over $K$.  Over a number field $K$ this is always a finite set; over $\Q$, it has at most 8 elements by a theorem of Kenku \cite{MR0675184, doi:10.1016/0022-314X(82)90025-7}.


#Base field (field_label) --
#    A **number field** is a field extension of finite degree of the field $\Q$ of rational numbers. In the LMFDB, number fields are identified by a label.



#Conductor norm (conductor_norm) --
#    The **conductor** of an elliptic curve $E$ defined over a number field $K$ is an ideal of the ring of integers of $K$ that is divisible by the prime ideals of bad reduction and no others.  It is defined as
#    $$
#        \mathfrak{n} = \prod_{\mathfrak{p}}\mathfrak{p}^{e_{\mathfrak{p}}}
#    $$
#    where the exponent $e_{\mathfrak{p}}$ is as follows:

#    - $e_{\mathfrak{p}}=0$ if $E$ has good reduction at $\mathfrak{p}$;

#    - $e_{\mathfrak{p}}=1$ if $E$ has multiplicative reduction at $\mathfrak{p}$;

#    - $e_{\mathfrak{p}}=2$ if $E$ has additive reduction at $\mathfrak{p}$ and $\mathfrak{p}$ does not lie above either $2$ or $3$; and

#    - $2\leq e_{\mathfrak{p}}\leq 2+6v_{\mathfrak{p}}(2)+3v_{\mathfrak{p}}(3)$, where $v_{\mathfrak{p}}$ is the valuation at $\mathfrak{p}$, if $E$ has additive reduction and $\mathfrak{p}$ lies above $2$ or $3$.

#    For $\mathfrak{p}=2$ and $3$, there is an algorithm of Tate that simultaneously creates a minimal Weierstrass equation and computes the exponent of the conductor.  See:

#    <UL>
#    <LI> J. Tate, Algorithm for determining the type of a singular fiber
#    in an elliptic pencil, Modular functions of one variable, IV
#    (Proc. Internat. Summer School, Univ. Antwerp, Antwerp, 1972),
#    33-52. <EM>Lecture Notes in Math.</EM>, Vol. <B>476</B>,
#    Springer, Berlin, 1975.

#    <LI> J.H. Silverman, <EM>Advanced topics in the arithmetic of elliptic
#    curves</EM>, GTM <B>151</B>, Springer-Verlag, New York, 1994.

#    </UL>

#    The **conductor norm** is the norm $[\mathcal{O}_K:\mathfrak{n}]$ of the ideal $\mathfrak{n}$.


# Rank --
#    The rank of an elliptic curve $E$ defined over a number field $K$ is the **rank** of its Mordell-Weil group $E(K)$.

#    The Mordell-Weil Theorem says that $E(K)$ is a finitely-generated abelian group, hence
#    \[ E(K) \cong E(K)_{\rm tor} \times \Z^r\]
#    where $E(K)_{\rm tor}$ is the finite torsion subgroup of $E(K)$, and $r\geq 0$ is the **rank**.

#    Rank is an isogeny invariant: all curves in an isogeny class have the same rank.



#Torsion (torsion_structure) --
#    For an elliptic curve $E$ over a field $K,$ the **torsion subgroup** of $E$ over $K$ is the subgroup $E(K)_{\text{tor}}$ of the Mordell-Weil group $E(K)$ consisting of points of finite order.  For a number field $K$ this is always a finite group, since by the Mordell-Weil Theorem $E(K)$ is finitely generated.

#    The torsion subgroup is always either cyclic or a product of two cyclic groups.
#    The **torsion structure** is the list of invariants of the group:

#    - $[]$ for the trivial group;
#    - $[n]$ for a cyclic group of order $n>1$;
#    - $[n_1,n_2]$ with $n_1\mid n_2$ for a product of non-trivial cyclic groups of orders $n_1$ and $n_2$.

#    For $K=\Q$ the possible torsion structures are $[n]$ for $n\le10$ and $n=12$, and $[2,2n]$ for $n=1,2,3,4$.



# CM --
#    An elliptic curve whose endomorphism ring is larger than \(\Z\) is said to have **complex multiplication** (often abbreviated to CM).  In this case, for curves defined over fields of characteristic zero, the endomorphism ring is isomorphic to an order in an imaginary quadratic field.  The discriminant of this order is the **CM discriminant**.

#    An elliptic curve whose geometric endomorphism ring is larger than \(\Z\) is said to have **potential complex multiplication** (potential CM).  In the literature, these too are often called CM elliptic curves.

#    The property of having potential CM depends only on the $j$-invariant of the curve.  In characteristic $0$, CM $j$-invariants are algebraic integers, and there are only finitely many in any given number field.  There are precisely 13 CM $j$-invariants in $\Q$ (all integers), associated to the 13 imaginary quadratic orders of class number $1$:

#    $$
#    \begin{array}{c|ccccccccccccc}
#    j & -12288000 & 54000 & 0 & 287496 & 1728 & 16581375 & -3375 & 8000 & -32768 & -884736 & -884736000 & -147197952000 & -262537412640768000\\
#    \text{CM discriminant} &-27 & -12 & -3 & -16 & -4 & -28 & -7 & -8 & -11 & -19 & -43 & -67 & -163
#    \end{array}
#    $$

#    CM elliptic curves are examples of CM abelian varieties.


#Sato-Tate (sato_tate_group) --
#    The **Sato-Tate group** of a motive $X$ is a compact Lie group $G$ containing (as a dense subset) the image of a representation that maps Frobenius elements to conjugacy classes.  When $X$ is an Artin motive, $G$ corresponds to the image of the Artin representation; when $X$ is an abelian variety over a number field, one can define $G$ in terms of an $\ell$-adic Galois representation attached to $X$.

#    For motives of even weight $w$ and degree $d$, the Sato-Tate group is a compact subgroup of the orthogonal group $\mathrm{O}(d)$.  For motives of odd weight $w$ and even degree $d$, the Sato-Tate group is a compact subgroup of the unitary symplectic group $\mathrm{USp}(d)$.  For motives $X$ arising as abelian varieties, the weight is always $w=1$ and the the degree is $d=2g$, where $g$ is the dimension of the variety.

#    The simplest case is when $X$ is an elliptic curve $E/\Q$, in which case $G$ is either $\mathrm{SU}(2)=\mathrm{USp}(2)$ (the generic case), or $G$ is $N(\mathrm{U}(1))$, the normalizer of the subgroup $\mathrm{U}(1)$ of diagonal matrices in $\mathrm{SU}(2)$, which contains $\mathrm{U}(1)$ with index 2.

#    The generalized Sato-Tate conjecture states that when ordered by norm, the sequence of images of Frobenius elements under this representation is equidistributed with respect to the pushforward of the Haar measure of $G$ onto its set of conjugacy classes.
#    This is known for all elliptic curves over totally real number fields (including $\mathbb{Q}$) or CM fields.



#Weierstrass coefficients (ainvs) --
#    A **Weierstrass equation** or **Weierstrass model** over a field $k$ is a plane curve $E$ of the form
#    $$y^2 + a_1xy + a_3y = x^3 + a_2 x^2 + a_4 x + a_6,$$
#    with $a_1, a_2, a_3, a_4, a_6 \in k$.

#    The **Weierstrass coefficients** of this model $E$ are the five coefficients $a_i$.  These are often displayed as a list $[a_1, a_2, a_3, a_4, a_6]$.

#    It is common not to distinguish between the _affine_ curve defined by a Weierstrass equation and its _projective closure_, which contains exactly one additional _point at infinity_, $[0:1:0]$.

#    A Weierstrass model is smooth if and only if its discriminant $\Delta$ is nonzero.  In this case, the plane curve $E$ together with the point at infinity as base point, define an elliptic curve defined over $k$.

#    Two smooth Weierstrass models define isomorphic elliptic curves if and only if they are isomorphic as Weierstrass models.



#Weierstrass equation (equation) --
#    See description for Weierstrass coefficients above